TSTP Solution File: NUM503+3 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : NUM503+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 08:45:13 EDT 2022
% Result : Theorem 25.59s 7.60s
% Output : Proof 244.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : NUM503+3 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jul 5 20:19:58 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.59 ____ _
% 0.19/0.59 ___ / __ \_____(_)___ ________ __________
% 0.19/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.19/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.19/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.19/0.59
% 0.19/0.59 A Theorem Prover for First-Order Logic
% 0.19/0.59 (ePrincess v.1.0)
% 0.19/0.59
% 0.19/0.59 (c) Philipp Rümmer, 2009-2015
% 0.19/0.59 (c) Peter Backeman, 2014-2015
% 0.19/0.59 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.19/0.59 Free software under GNU Lesser General Public License (LGPL).
% 0.19/0.59 Bug reports to peter@backeman.se
% 0.19/0.59
% 0.19/0.59 For more information, visit http://user.uu.se/~petba168/breu/
% 0.19/0.59
% 0.19/0.59 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.67/0.65 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.96/1.06 Prover 0: Preprocessing ...
% 4.06/1.59 Prover 0: Constructing countermodel ...
% 18.58/5.94 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 18.84/6.04 Prover 1: Preprocessing ...
% 19.94/6.27 Prover 1: Constructing countermodel ...
% 25.59/7.59 Prover 1: proved (1650ms)
% 25.59/7.60 Prover 0: stopped
% 25.59/7.60
% 25.59/7.60 No countermodel exists, formula is valid
% 25.59/7.60 % SZS status Theorem for theBenchmark
% 25.59/7.60
% 25.59/7.60 Generating proof ... found it (size 1755)
% 242.36/185.99
% 242.36/185.99 % SZS output start Proof for theBenchmark
% 242.36/185.99 Assumed formulas after preprocessing and simplification:
% 242.36/185.99 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ( ~ (v4 = 0) & ~ (v3 = 0) & ~ (xr = sz10) & ~ (xr = sz00) & ~ (xk = sz10) & ~ (xk = sz00) & ~ (xp = xm) & ~ (xp = xn) & ~ (xp = sz10) & ~ (xp = sz00) & ~ (sz10 = sz00) & isPrime0(xr) = 0 & isPrime0(xp) = 0 & sdtsldt0(v2, xp) = xk & doDivides0(xr, v2) = 0 & doDivides0(xr, xk) = 0 & doDivides0(xp, v2) = 0 & sdtlseqdt0(v5, v2) = v7 & sdtlseqdt0(v2, v5) = v6 & sdtlseqdt0(xp, xk) = 0 & sdtlseqdt0(xp, xm) = v4 & sdtlseqdt0(xp, xn) = v3 & sdtlseqdt0(xm, xp) = 0 & sdtlseqdt0(xn, xp) = 0 & sdtasdt0(xr, v11) = xk & sdtasdt0(xr, v9) = v2 & sdtasdt0(xp, v14) = v2 & sdtasdt0(xp, xk) = v2 & sdtasdt0(xp, xm) = v5 & sdtasdt0(xn, xm) = v2 & sdtpldt0(v0, xp) = v1 & sdtpldt0(xr, v10) = xk & sdtpldt0(xp, v8) = xk & sdtpldt0(xm, v12) = xp & sdtpldt0(xn, v13) = xp & sdtpldt0(xn, xm) = v0 & aNaturalNumber0(v14) = 0 & aNaturalNumber0(v13) = 0 & aNaturalNumber0(v12) = 0 & aNaturalNumber0(v11) = 0 & aNaturalNumber0(v10) = 0 & aNaturalNumber0(v9) = 0 & aNaturalNumber0(v8) = 0 & aNaturalNumber0(xr) = 0 & aNaturalNumber0(xk) = 0 & aNaturalNumber0(xp) = 0 & aNaturalNumber0(xm) = 0 & aNaturalNumber0(xn) = 0 & aNaturalNumber0(sz10) = 0 & aNaturalNumber0(sz00) = 0 & ~ (isPrime0(sz10) = 0) & ~ (isPrime0(sz00) = 0) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v17 = v16 | v15 = sz00 | ~ (sdtlseqdt0(v18, v19) = v20) | ~ (sdtasdt0(v15, v17) = v19) | ~ (sdtasdt0(v15, v16) = v18) | ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : (sdtlseqdt0(v25, v26) = v27 & sdtlseqdt0(v16, v17) = v24 & sdtasdt0(v17, v15) = v26 & sdtasdt0(v16, v15) = v25 & aNaturalNumber0(v17) = v23 & aNaturalNumber0(v16) = v22 & aNaturalNumber0(v15) = v21 & ( ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | (v27 = 0 & v20 = 0 & ~ (v26 = v25) & ~ (v19 = v18))))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v16 = v15 | ~ (sdtlseqdt0(v18, v19) = v20) | ~ (sdtlseqdt0(v15, v16) = 0) | ~ (sdtpldt0(v16, v17) = v19) | ~ (sdtpldt0(v15, v17) = v18) | ? [v21] : ? [v22] : ? [v23] : ? [v24] : ((sdtlseqdt0(v22, v23) = v24 & sdtpldt0(v17, v16) = v23 & sdtpldt0(v17, v15) = v22 & aNaturalNumber0(v17) = v21 & ( ~ (v21 = 0) | (v24 = 0 & v20 = 0 & ~ (v23 = v22) & ~ (v19 = v18)))) | (aNaturalNumber0(v16) = v22 & aNaturalNumber0(v15) = v21 & ( ~ (v22 = 0) | ~ (v21 = 0))))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v15 = sz00 | ~ (sdtsldt0(v19, v15) = v20) | ~ (sdtsldt0(v16, v15) = v17) | ~ (sdtasdt0(v18, v16) = v19) | ? [v21] : ? [v22] : ? [v23] : ((doDivides0(v15, v16) = v23 & aNaturalNumber0(v16) = v22 & aNaturalNumber0(v15) = v21 & ( ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0))) | (sdtasdt0(v18, v17) = v22 & aNaturalNumber0(v18) = v21 & ( ~ (v21 = 0) | v22 = v20)))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (sdtasdt0(v15, v17) = v19) | ~ (sdtasdt0(v15, v16) = v18) | ~ (sdtpldt0(v18, v19) = v20) | ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : (sdtasdt0(v24, v15) = v26 & sdtasdt0(v17, v15) = v28 & sdtasdt0(v16, v15) = v27 & sdtasdt0(v15, v24) = v25 & sdtpldt0(v27, v28) = v29 & sdtpldt0(v16, v17) = v24 & aNaturalNumber0(v17) = v23 & aNaturalNumber0(v16) = v22 & aNaturalNumber0(v15) = v21 & ( ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | (v29 = v26 & v25 = v20)))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v19 = 0 | ~ (doDivides0(v15, v18) = v19) | ~ (sdtpldt0(v16, v17) = v18) | ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : (doDivides0(v15, v17) = v24 & doDivides0(v15, v16) = v23 & aNaturalNumber0(v17) = v22 & aNaturalNumber0(v16) = v21 & aNaturalNumber0(v15) = v20 & ( ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0)))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v17 = v16 | v15 = sz00 | ~ (sdtasdt0(v15, v17) = v19) | ~ (sdtasdt0(v15, v16) = v18) | ~ (aNaturalNumber0(v15) = 0) | ? [v20] : ? [v21] : ? [v22] : ? [v23] : (sdtasdt0(v17, v15) = v23 & sdtasdt0(v16, v15) = v22 & aNaturalNumber0(v17) = v21 & aNaturalNumber0(v16) = v20 & ( ~ (v21 = 0) | ~ (v20 = 0) | ( ~ (v23 = v22) & ~ (v19 = v18))))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v17 = v16 | ~ (sdtpldt0(v15, v17) = v19) | ~ (sdtpldt0(v15, v16) = v18) | ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : (sdtpldt0(v17, v15) = v24 & sdtpldt0(v16, v15) = v23 & aNaturalNumber0(v17) = v22 & aNaturalNumber0(v16) = v21 & aNaturalNumber0(v15) = v20 & ( ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ( ~ (v24 = v23) & ~ (v19 = v18))))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (sdtasdt0(v18, v17) = v19) | ~ (sdtasdt0(v15, v16) = v18) | ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : (sdtasdt0(v16, v17) = v23 & sdtasdt0(v15, v23) = v24 & aNaturalNumber0(v17) = v22 & aNaturalNumber0(v16) = v21 & aNaturalNumber0(v15) = v20 & ( ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | v24 = v19))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (sdtpldt0(v18, v17) = v19) | ~ (sdtpldt0(v15, v16) = v18) | ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ? [v34] : (isPrime0(v17) = v23 & doDivides0(v17, v24) = v25 & doDivides0(v17, v16) = v28 & doDivides0(v17, v15) = v27 & iLess0(v19, v1) = v26 & sdtasdt0(v15, v16) = v24 & aNaturalNumber0(v17) = v22 & aNaturalNumber0(v16) = v21 & aNaturalNumber0(v15) = v20 & ( ~ (v26 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | (v31 = v16 & v30 = 0 & v28 = 0 & sdtasdt0(v17, v29) = v16 & aNaturalNumber0(v29) = 0) | (v31 = v15 & v30 = 0 & v27 = 0 & sdtasdt0(v17, v29) = v15 & aNaturalNumber0(v29) = 0) | ( ~ (v25 = 0) & ! [v35] : ( ~ (sdtasdt0(v17, v35) = v24) | ? [v36] : ( ~ (v36 = 0) & aNaturalNumber0(v35) = v36))) | ( ~ (v23 = 0) & (v17 = sz10 | v17 = sz00 | (v34 = v17 & v33 = 0 & v31 = 0 & v30 = 0 & ~ (v29 = v17) & ~ (v29 = sz10) & doDivides0(v29, v17) = 0 & sdtasdt0(v29, v32) = v17 & aNaturalNumber0(v32) = 0 & aNaturalNumber0(v29) = 0)))))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (sdtpldt0(v18, v17) = v19) | ~ (sdtpldt0(v15, v16) = v18) | ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : (sdtpldt0(v16, v17) = v23 & sdtpldt0(v15, v23) = v24 & aNaturalNumber0(v17) = v22 & aNaturalNumber0(v16) = v21 & aNaturalNumber0(v15) = v20 & ( ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | v24 = v19))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = v17 | v15 = sz00 | ~ (sdtsldt0(v16, v15) = v17) | ~ (sdtasdt0(v15, v18) = v16) | ? [v19] : ? [v20] : ? [v21] : (( ~ (v19 = 0) & aNaturalNumber0(v18) = v19) | (doDivides0(v15, v16) = v21 & aNaturalNumber0(v16) = v20 & aNaturalNumber0(v15) = v19 & ( ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0))))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = v17 | ~ (sdtmndt0(v16, v15) = v17) | ~ (sdtpldt0(v15, v18) = v16) | ? [v19] : ? [v20] : ? [v21] : (( ~ (v19 = 0) & aNaturalNumber0(v18) = v19) | (sdtlseqdt0(v15, v16) = v21 & aNaturalNumber0(v16) = v20 & aNaturalNumber0(v15) = v19 & ( ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0))))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = v16 | v15 = sz00 | ~ (sdtsldt0(v16, v15) = v17) | ~ (sdtasdt0(v15, v17) = v18) | ? [v19] : ? [v20] : ? [v21] : (doDivides0(v15, v16) = v21 & aNaturalNumber0(v16) = v20 & aNaturalNumber0(v15) = v19 & ( ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0)))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = v16 | ~ (sdtmndt0(v16, v15) = v17) | ~ (sdtpldt0(v15, v17) = v18) | ? [v19] : ? [v20] : ? [v21] : (sdtlseqdt0(v15, v16) = v21 & aNaturalNumber0(v16) = v20 & aNaturalNumber0(v15) = v19 & ( ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0)))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = 0 | v15 = sz00 | ~ (sdtlseqdt0(v16, v17) = v18) | ~ (sdtasdt0(v16, v15) = v17) | ? [v19] : ? [v20] : (aNaturalNumber0(v16) = v20 & aNaturalNumber0(v15) = v19 & ( ~ (v20 = 0) | ~ (v19 = 0)))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = 0 | ~ (doDivides0(v15, v17) = v18) | ~ (doDivides0(v15, v16) = 0) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : (doDivides0(v16, v17) = v22 & aNaturalNumber0(v17) = v21 & aNaturalNumber0(v16) = v20 & aNaturalNumber0(v15) = v19 & ( ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0)))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = 0 | ~ (sdtlseqdt0(v15, v17) = v18) | ~ (sdtlseqdt0(v15, v16) = 0) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : (sdtlseqdt0(v16, v17) = v22 & aNaturalNumber0(v17) = v21 & aNaturalNumber0(v16) = v20 & aNaturalNumber0(v15) = v19 & ( ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0)))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v17 = 0 | ~ (doDivides0(v15, v16) = v17) | ~ (sdtasdt0(v15, v18) = v16) | ? [v19] : ? [v20] : (( ~ (v19 = 0) & aNaturalNumber0(v18) = v19) | (aNaturalNumber0(v16) = v20 & aNaturalNumber0(v15) = v19 & ( ~ (v20 = 0) | ~ (v19 = 0))))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v17 = 0 | ~ (sdtlseqdt0(v15, v16) = v17) | ~ (sdtpldt0(v15, v18) = v16) | ? [v19] : ? [v20] : (( ~ (v19 = 0) & aNaturalNumber0(v18) = v19) | (aNaturalNumber0(v16) = v20 & aNaturalNumber0(v15) = v19 & ( ~ (v20 = 0) | ~ (v19 = 0))))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v16 = v15 | ~ (sdtsldt0(v18, v17) = v16) | ~ (sdtsldt0(v18, v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v16 = v15 | ~ (doDivides0(v18, v17) = v16) | ~ (doDivides0(v18, v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v16 = v15 | ~ (iLess0(v18, v17) = v16) | ~ (iLess0(v18, v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v16 = v15 | ~ (sdtmndt0(v18, v17) = v16) | ~ (sdtmndt0(v18, v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v16 = v15 | ~ (sdtlseqdt0(v18, v17) = v16) | ~ (sdtlseqdt0(v18, v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v16 = v15 | ~ (sdtasdt0(v18, v17) = v16) | ~ (sdtasdt0(v18, v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v16 = v15 | ~ (sdtpldt0(v18, v17) = v16) | ~ (sdtpldt0(v18, v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v15 = sz00 | ~ (sdtsldt0(v16, v15) = v17) | ~ (sdtasdt0(v15, v17) = v18) | ? [v19] : ? [v20] : ? [v21] : ((v19 = 0 & aNaturalNumber0(v17) = 0) | (doDivides0(v15, v16) = v21 & aNaturalNumber0(v16) = v20 & aNaturalNumber0(v15) = v19 & ( ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0))))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (doDivides0(v15, v18) = 0) | ~ (sdtpldt0(v16, v17) = v18) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : (doDivides0(v15, v17) = v23 & doDivides0(v15, v16) = v22 & aNaturalNumber0(v17) = v21 & aNaturalNumber0(v16) = v20 & aNaturalNumber0(v15) = v19 & ( ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | v23 = 0))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (sdtmndt0(v16, v15) = v17) | ~ (sdtpldt0(v15, v17) = v18) | ? [v19] : ? [v20] : ? [v21] : ((v19 = 0 & aNaturalNumber0(v17) = 0) | (sdtlseqdt0(v15, v16) = v21 & aNaturalNumber0(v16) = v20 & aNaturalNumber0(v15) = v19 & ( ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0))))) & ! [v15] : ! [v16] : ! [v17] : (v17 = 0 | v16 = v15 | ~ (iLess0(v15, v16) = v17) | ? [v18] : ? [v19] : ? [v20] : (sdtlseqdt0(v15, v16) = v20 & aNaturalNumber0(v16) = v19 & aNaturalNumber0(v15) = v18 & ( ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0)))) & ! [v15] : ! [v16] : ! [v17] : (v17 = 0 | ~ (sdtlseqdt0(v15, v16) = v17) | ? [v18] : ? [v19] : ? [v20] : (sdtlseqdt0(v16, v15) = v20 & aNaturalNumber0(v16) = v19 & aNaturalNumber0(v15) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0) | (v20 = 0 & ~ (v16 = v15))))) & ! [v15] : ! [v16] : ! [v17] : (v16 = v15 | ~ (isPrime0(v17) = v16) | ~ (isPrime0(v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : (v16 = v15 | ~ (aNaturalNumber0(v17) = v16) | ~ (aNaturalNumber0(v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : (v15 = xr | v15 = sz10 | ~ (doDivides0(v15, xr) = v16) | ~ (sdtasdt0(v15, v17) = xr) | ? [v18] : (( ~ (v18 = 0) & aNaturalNumber0(v17) = v18) | ( ~ (v18 = 0) & aNaturalNumber0(v15) = v18))) & ! [v15] : ! [v16] : ! [v17] : (v15 = xp | v15 = sz10 | ~ (doDivides0(v15, xp) = v16) | ~ (sdtasdt0(v15, v17) = xp) | ? [v18] : (( ~ (v18 = 0) & aNaturalNumber0(v17) = v18) | ( ~ (v18 = 0) & aNaturalNumber0(v15) = v18))) & ! [v15] : ! [v16] : ! [v17] : ( ~ (sdtasdt0(v15, v16) = v17) | ? [v18] : ? [v19] : ? [v20] : (sdtasdt0(v16, v15) = v20 & aNaturalNumber0(v16) = v19 & aNaturalNumber0(v15) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0) | v20 = v17))) & ! [v15] : ! [v16] : ! [v17] : ( ~ (sdtasdt0(v15, v16) = v17) | ? [v18] : ? [v19] : ? [v20] : (aNaturalNumber0(v17) = v20 & aNaturalNumber0(v16) = v19 & aNaturalNumber0(v15) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0) | v20 = 0))) & ! [v15] : ! [v16] : ! [v17] : ( ~ (sdtpldt0(v15, v16) = v17) | ? [v18] : ? [v19] : ? [v20] : (sdtpldt0(v16, v15) = v20 & aNaturalNumber0(v16) = v19 & aNaturalNumber0(v15) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0) | v20 = v17))) & ! [v15] : ! [v16] : ! [v17] : ( ~ (sdtpldt0(v15, v16) = v17) | ? [v18] : ? [v19] : ? [v20] : (aNaturalNumber0(v17) = v20 & aNaturalNumber0(v16) = v19 & aNaturalNumber0(v15) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0) | v20 = 0))) & ! [v15] : ! [v16] : (v16 = v15 | v16 = sz10 | ~ (isPrime0(v15) = 0) | ~ (doDivides0(v16, v15) = 0) | ? [v17] : (( ~ (v17 = 0) & aNaturalNumber0(v16) = v17) | ( ~ (v17 = 0) & aNaturalNumber0(v15) = v17))) & ! [v15] : ! [v16] : (v16 = v15 | ~ (sdtlseqdt0(v15, v16) = 0) | ? [v17] : ? [v18] : ? [v19] : (sdtlseqdt0(v16, v15) = v19 & aNaturalNumber0(v16) = v18 & aNaturalNumber0(v15) = v17 & ( ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0)))) & ! [v15] : ! [v16] : (v16 = sz00 | v15 = sz00 | ~ (sdtasdt0(v15, v16) = sz00) | ? [v17] : ? [v18] : (aNaturalNumber0(v16) = v18 & aNaturalNumber0(v15) = v17 & ( ~ (v18 = 0) | ~ (v17 = 0)))) & ! [v15] : ! [v16] : (v16 = sz00 | ~ (doDivides0(v15, v16) = 0) | ? [v17] : ? [v18] : ? [v19] : (sdtlseqdt0(v15, v16) = v19 & aNaturalNumber0(v16) = v18 & aNaturalNumber0(v15) = v17 & ( ~ (v18 = 0) | ~ (v17 = 0) | v19 = 0))) & ! [v15] : ! [v16] : (v16 = sz00 | ~ (sdtpldt0(v15, v16) = sz00) | ? [v17] : ? [v18] : (aNaturalNumber0(v16) = v18 & aNaturalNumber0(v15) = v17 & ( ~ (v18 = 0) | ~ (v17 = 0)))) & ! [v15] : ! [v16] : (v16 = 0 | v15 = sz10 | v15 = sz00 | ~ (isPrime0(v15) = v16) | ? [v17] : ? [v18] : ? [v19] : ((v19 = 0 & v18 = 0 & ~ (v17 = v15) & ~ (v17 = sz10) & doDivides0(v17, v15) = 0 & aNaturalNumber0(v17) = 0) | ( ~ (v17 = 0) & aNaturalNumber0(v15) = v17))) & ! [v15] : ! [v16] : (v16 = 0 | v15 = sz10 | v15 = sz00 | ~ (sdtlseqdt0(sz10, v15) = v16) | ? [v17] : ( ~ (v17 = 0) & aNaturalNumber0(v15) = v17)) & ! [v15] : ! [v16] : (v16 = 0 | ~ (sdtlseqdt0(v15, v15) = v16) | ? [v17] : ( ~ (v17 = 0) & aNaturalNumber0(v15) = v17)) & ! [v15] : ! [v16] : (v15 = sz00 | ~ (sdtpldt0(v15, v16) = sz00) | ? [v17] : ? [v18] : (aNaturalNumber0(v16) = v18 & aNaturalNumber0(v15) = v17 & ( ~ (v18 = 0) | ~ (v17 = 0)))) & ! [v15] : ! [v16] : ( ~ (doDivides0(v15, v16) = 0) | ? [v17] : ? [v18] : ? [v19] : ((v19 = v16 & v18 = 0 & sdtasdt0(v15, v17) = v16 & aNaturalNumber0(v17) = 0) | (aNaturalNumber0(v16) = v18 & aNaturalNumber0(v15) = v17 & ( ~ (v18 = 0) | ~ (v17 = 0))))) & ! [v15] : ! [v16] : ( ~ (sdtlseqdt0(v15, v16) = 0) | ? [v17] : ? [v18] : ? [v19] : ((v19 = v16 & v18 = 0 & sdtpldt0(v15, v17) = v16 & aNaturalNumber0(v17) = 0) | (aNaturalNumber0(v16) = v18 & aNaturalNumber0(v15) = v17 & ( ~ (v18 = 0) | ~ (v17 = 0))))) & ! [v15] : ! [v16] : ( ~ (sdtasdt0(sz10, v15) = v16) | ? [v17] : ? [v18] : (sdtasdt0(v15, sz10) = v18 & aNaturalNumber0(v15) = v17 & ( ~ (v17 = 0) | (v18 = v15 & v16 = v15)))) & ! [v15] : ! [v16] : ( ~ (sdtasdt0(sz00, v15) = v16) | ? [v17] : ? [v18] : (sdtasdt0(v15, sz00) = v18 & aNaturalNumber0(v15) = v17 & ( ~ (v17 = 0) | (v18 = sz00 & v16 = sz00)))) & ! [v15] : ! [v16] : ( ~ (sdtpldt0(sz00, v15) = v16) | ? [v17] : ? [v18] : (sdtpldt0(v15, sz00) = v18 & aNaturalNumber0(v15) = v17 & ( ~ (v17 = 0) | (v18 = v15 & v16 = v15)))) & ! [v15] : (v15 = xr | v15 = sz10 | ~ (doDivides0(v15, xr) = 0) | ? [v16] : ( ~ (v16 = 0) & aNaturalNumber0(v15) = v16)) & ! [v15] : (v15 = xp | v15 = sz10 | ~ (doDivides0(v15, xp) = 0) | ? [v16] : ( ~ (v16 = 0) & aNaturalNumber0(v15) = v16)) & ! [v15] : (v15 = sz10 | v15 = sz00 | ~ (aNaturalNumber0(v15) = 0) | ? [v16] : (isPrime0(v16) = 0 & doDivides0(v16, v15) = 0 & aNaturalNumber0(v16) = 0)) & ! [v15] : ( ~ (sdtpldt0(xp, v15) = xm) | ? [v16] : ( ~ (v16 = 0) & aNaturalNumber0(v15) = v16)) & ! [v15] : ( ~ (sdtpldt0(xp, v15) = xn) | ? [v16] : ( ~ (v16 = 0) & aNaturalNumber0(v15) = v16)) & (v5 = v2 | ( ~ (v7 = 0) & ! [v15] : ( ~ (sdtpldt0(v5, v15) = v2) | ? [v16] : ( ~ (v16 = 0) & aNaturalNumber0(v15) = v16))) | ( ~ (v6 = 0) & ! [v15] : ( ~ (sdtpldt0(v2, v15) = v5) | ? [v16] : ( ~ (v16 = 0) & aNaturalNumber0(v15) = v16)))))
% 242.36/186.06 | 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, all_0_12_12, all_0_13_13, all_0_14_14 yields:
% 242.36/186.07 | (1) ~ (all_0_10_10 = 0) & ~ (all_0_11_11 = 0) & ~ (xr = sz10) & ~ (xr = sz00) & ~ (xk = sz10) & ~ (xk = sz00) & ~ (xp = xm) & ~ (xp = xn) & ~ (xp = sz10) & ~ (xp = sz00) & ~ (sz10 = sz00) & isPrime0(xr) = 0 & isPrime0(xp) = 0 & sdtsldt0(all_0_12_12, xp) = xk & doDivides0(xr, all_0_12_12) = 0 & doDivides0(xr, xk) = 0 & doDivides0(xp, all_0_12_12) = 0 & sdtlseqdt0(all_0_9_9, all_0_12_12) = all_0_7_7 & sdtlseqdt0(all_0_12_12, all_0_9_9) = all_0_8_8 & sdtlseqdt0(xp, xk) = 0 & sdtlseqdt0(xp, xm) = all_0_10_10 & sdtlseqdt0(xp, xn) = all_0_11_11 & sdtlseqdt0(xm, xp) = 0 & sdtlseqdt0(xn, xp) = 0 & sdtasdt0(xr, all_0_3_3) = xk & sdtasdt0(xr, all_0_5_5) = all_0_12_12 & sdtasdt0(xp, all_0_0_0) = all_0_12_12 & sdtasdt0(xp, xk) = all_0_12_12 & sdtasdt0(xp, xm) = all_0_9_9 & sdtasdt0(xn, xm) = all_0_12_12 & sdtpldt0(all_0_14_14, xp) = all_0_13_13 & sdtpldt0(xr, all_0_4_4) = xk & sdtpldt0(xp, all_0_6_6) = xk & sdtpldt0(xm, all_0_2_2) = xp & sdtpldt0(xn, all_0_1_1) = xp & sdtpldt0(xn, xm) = all_0_14_14 & aNaturalNumber0(all_0_0_0) = 0 & aNaturalNumber0(all_0_1_1) = 0 & aNaturalNumber0(all_0_2_2) = 0 & aNaturalNumber0(all_0_3_3) = 0 & aNaturalNumber0(all_0_4_4) = 0 & aNaturalNumber0(all_0_5_5) = 0 & aNaturalNumber0(all_0_6_6) = 0 & aNaturalNumber0(xr) = 0 & aNaturalNumber0(xk) = 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] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : (isPrime0(v2) = v8 & doDivides0(v2, v9) = v10 & doDivides0(v2, v1) = v13 & doDivides0(v2, v0) = v12 & iLess0(v4, all_0_13_13) = v11 & sdtasdt0(v0, v1) = v9 & aNaturalNumber0(v2) = v7 & aNaturalNumber0(v1) = v6 & aNaturalNumber0(v0) = v5 & ( ~ (v11 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | (v16 = v1 & v15 = 0 & v13 = 0 & sdtasdt0(v2, v14) = v1 & aNaturalNumber0(v14) = 0) | (v16 = v0 & v15 = 0 & v12 = 0 & sdtasdt0(v2, v14) = v0 & aNaturalNumber0(v14) = 0) | ( ~ (v10 = 0) & ! [v20] : ( ~ (sdtasdt0(v2, v20) = v9) | ? [v21] : ( ~ (v21 = 0) & aNaturalNumber0(v20) = v21))) | ( ~ (v8 = 0) & (v2 = sz10 | v2 = sz00 | (v19 = v2 & v18 = 0 & v16 = 0 & v15 = 0 & ~ (v14 = v2) & ~ (v14 = sz10) & doDivides0(v14, v2) = 0 & sdtasdt0(v14, v17) = v2 & aNaturalNumber0(v17) = 0 & aNaturalNumber0(v14) = 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] : (v0 = xr | v0 = sz10 | ~ (doDivides0(v0, xr) = v1) | ~ (sdtasdt0(v0, v2) = xr) | ? [v3] : (( ~ (v3 = 0) & aNaturalNumber0(v2) = v3) | ( ~ (v3 = 0) & aNaturalNumber0(v0) = v3))) & ! [v0] : ! [v1] : ! [v2] : (v0 = xp | v0 = sz10 | ~ (doDivides0(v0, xp) = v1) | ~ (sdtasdt0(v0, v2) = xp) | ? [v3] : (( ~ (v3 = 0) & aNaturalNumber0(v2) = v3) | ( ~ (v3 = 0) & aNaturalNumber0(v0) = v3))) & ! [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 = xr | v0 = sz10 | ~ (doDivides0(v0, xr) = 0) | ? [v1] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1)) & ! [v0] : (v0 = xp | v0 = sz10 | ~ (doDivides0(v0, xp) = 0) | ? [v1] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1)) & ! [v0] : (v0 = sz10 | v0 = sz00 | ~ (aNaturalNumber0(v0) = 0) | ? [v1] : (isPrime0(v1) = 0 & doDivides0(v1, v0) = 0 & aNaturalNumber0(v1) = 0)) & ! [v0] : ( ~ (sdtpldt0(xp, v0) = xm) | ? [v1] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1)) & ! [v0] : ( ~ (sdtpldt0(xp, v0) = xn) | ? [v1] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1)) & (all_0_9_9 = all_0_12_12 | ( ~ (all_0_7_7 = 0) & ! [v0] : ( ~ (sdtpldt0(all_0_9_9, v0) = all_0_12_12) | ? [v1] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1))) | ( ~ (all_0_8_8 = 0) & ! [v0] : ( ~ (sdtpldt0(all_0_12_12, v0) = all_0_9_9) | ? [v1] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1))))
% 242.70/186.09 |
% 242.70/186.09 | Applying alpha-rule on (1) yields:
% 242.70/186.09 | (2) aNaturalNumber0(xr) = 0
% 242.70/186.09 | (3) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (iLess0(v3, v2) = v1) | ~ (iLess0(v3, v2) = v0))
% 242.70/186.09 | (4) sdtasdt0(xn, xm) = all_0_12_12
% 242.70/186.09 | (5) aNaturalNumber0(all_0_1_1) = 0
% 242.70/186.09 | (6) ! [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))))
% 242.70/186.09 | (7) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtasdt0(v3, v2) = v1) | ~ (sdtasdt0(v3, v2) = v0))
% 242.70/186.09 | (8) ! [v0] : (v0 = sz10 | v0 = sz00 | ~ (aNaturalNumber0(v0) = 0) | ? [v1] : (isPrime0(v1) = 0 & doDivides0(v1, v0) = 0 & aNaturalNumber0(v1) = 0))
% 242.70/186.09 | (9) ! [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)))
% 242.70/186.09 | (10) sdtpldt0(xm, all_0_2_2) = xp
% 242.70/186.09 | (11) aNaturalNumber0(all_0_6_6) = 0
% 242.70/186.09 | (12) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtsldt0(v3, v2) = v1) | ~ (sdtsldt0(v3, v2) = v0))
% 242.70/186.09 | (13) ! [v0] : ! [v1] : (v1 = sz00 | ~ (sdtpldt0(v0, v1) = sz00) | ? [v2] : ? [v3] : (aNaturalNumber0(v1) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 242.70/186.09 | (14) sdtlseqdt0(all_0_12_12, all_0_9_9) = all_0_8_8
% 242.70/186.09 | (15) ! [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))))
% 242.70/186.09 | (16) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtlseqdt0(v3, v2) = v1) | ~ (sdtlseqdt0(v3, v2) = v0))
% 242.80/186.09 | (17) ! [v0] : ! [v1] : (v1 = 0 | v0 = sz10 | v0 = sz00 | ~ (sdtlseqdt0(sz10, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & aNaturalNumber0(v0) = v2))
% 242.80/186.09 | (18) sdtlseqdt0(all_0_9_9, all_0_12_12) = all_0_7_7
% 242.80/186.09 | (19) ! [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)))
% 242.80/186.09 | (20) sdtlseqdt0(xm, xp) = 0
% 242.80/186.09 | (21) ~ (xr = sz10)
% 242.80/186.09 | (22) ! [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)))))
% 242.80/186.09 | (23) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : (isPrime0(v2) = v8 & doDivides0(v2, v9) = v10 & doDivides0(v2, v1) = v13 & doDivides0(v2, v0) = v12 & iLess0(v4, all_0_13_13) = v11 & sdtasdt0(v0, v1) = v9 & aNaturalNumber0(v2) = v7 & aNaturalNumber0(v1) = v6 & aNaturalNumber0(v0) = v5 & ( ~ (v11 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | (v16 = v1 & v15 = 0 & v13 = 0 & sdtasdt0(v2, v14) = v1 & aNaturalNumber0(v14) = 0) | (v16 = v0 & v15 = 0 & v12 = 0 & sdtasdt0(v2, v14) = v0 & aNaturalNumber0(v14) = 0) | ( ~ (v10 = 0) & ! [v20] : ( ~ (sdtasdt0(v2, v20) = v9) | ? [v21] : ( ~ (v21 = 0) & aNaturalNumber0(v20) = v21))) | ( ~ (v8 = 0) & (v2 = sz10 | v2 = sz00 | (v19 = v2 & v18 = 0 & v16 = 0 & v15 = 0 & ~ (v14 = v2) & ~ (v14 = sz10) & doDivides0(v14, v2) = 0 & sdtasdt0(v14, v17) = v2 & aNaturalNumber0(v17) = 0 & aNaturalNumber0(v14) = 0))))))
% 242.80/186.09 | (24) ! [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)))))
% 242.80/186.09 | (25) sdtsldt0(all_0_12_12, xp) = xk
% 242.80/186.09 | (26) sdtlseqdt0(xp, xk) = 0
% 242.80/186.09 | (27) ~ (isPrime0(sz00) = 0)
% 242.80/186.09 | (28) ! [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)))
% 242.80/186.09 | (29) aNaturalNumber0(xm) = 0
% 242.80/186.09 | (30) ! [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)))))
% 242.80/186.09 | (31) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aNaturalNumber0(v2) = v1) | ~ (aNaturalNumber0(v2) = v0))
% 242.80/186.09 | (32) ~ (xp = sz10)
% 242.80/186.09 | (33) ! [v0] : ! [v1] : (v1 = sz00 | v0 = sz00 | ~ (sdtasdt0(v0, v1) = sz00) | ? [v2] : ? [v3] : (aNaturalNumber0(v1) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 242.80/186.09 | (34) ! [v0] : ! [v1] : ! [v2] : (v0 = xr | v0 = sz10 | ~ (doDivides0(v0, xr) = v1) | ~ (sdtasdt0(v0, v2) = xr) | ? [v3] : (( ~ (v3 = 0) & aNaturalNumber0(v2) = v3) | ( ~ (v3 = 0) & aNaturalNumber0(v0) = v3)))
% 242.80/186.10 | (35) sdtasdt0(xp, xm) = all_0_9_9
% 242.80/186.10 | (36) aNaturalNumber0(xk) = 0
% 242.80/186.10 | (37) ! [v0] : ! [v1] : ( ~ (sdtpldt0(sz00, v0) = v1) | ? [v2] : ? [v3] : (sdtpldt0(v0, sz00) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v2 = 0) | (v3 = v0 & v1 = v0))))
% 242.80/186.10 | (38) isPrime0(xr) = 0
% 242.80/186.10 | (39) ~ (isPrime0(sz10) = 0)
% 242.80/186.10 | (40) ~ (xp = sz00)
% 242.80/186.10 | (41) sdtpldt0(xr, all_0_4_4) = xk
% 242.80/186.10 | (42) ~ (all_0_10_10 = 0)
% 242.80/186.10 | (43) ! [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)))))
% 242.80/186.10 | (44) ! [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))))
% 242.80/186.10 | (45) ~ (xr = sz00)
% 242.80/186.10 | (46) sdtpldt0(xn, all_0_1_1) = xp
% 242.80/186.10 | (47) ~ (all_0_11_11 = 0)
% 242.80/186.10 | (48) ~ (xk = sz00)
% 242.80/186.10 | (49) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtmndt0(v3, v2) = v1) | ~ (sdtmndt0(v3, v2) = v0))
% 242.80/186.10 | (50) isPrime0(xp) = 0
% 242.80/186.10 | (51) ! [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)))
% 242.80/186.10 | (52) ! [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)))))
% 242.80/186.10 | (53) ! [v0] : ! [v1] : (v1 = 0 | ~ (sdtlseqdt0(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & aNaturalNumber0(v0) = v2))
% 242.80/186.10 | (54) aNaturalNumber0(xn) = 0
% 242.80/186.10 | (55) ! [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)))))
% 242.80/186.10 | (56) sdtpldt0(xn, xm) = all_0_14_14
% 242.80/186.10 | (57) ! [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))))
% 242.80/186.10 | (58) ! [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))))
% 242.80/186.10 | (59) ! [v0] : (v0 = xp | v0 = sz10 | ~ (doDivides0(v0, xp) = 0) | ? [v1] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1))
% 242.80/186.10 | (60) ! [v0] : ! [v1] : (v0 = sz00 | ~ (sdtpldt0(v0, v1) = sz00) | ? [v2] : ? [v3] : (aNaturalNumber0(v1) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 242.80/186.10 | (61) sdtpldt0(xp, all_0_6_6) = xk
% 242.80/186.10 | (62) ! [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)))))
% 242.80/186.10 | (63) ! [v0] : ! [v1] : (v1 = v0 | v1 = sz10 | ~ (isPrime0(v0) = 0) | ~ (doDivides0(v1, v0) = 0) | ? [v2] : (( ~ (v2 = 0) & aNaturalNumber0(v1) = v2) | ( ~ (v2 = 0) & aNaturalNumber0(v0) = v2)))
% 242.80/186.10 | (64) ! [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)))))
% 242.80/186.10 | (65) sdtlseqdt0(xn, xp) = 0
% 242.80/186.10 | (66) ! [v0] : (v0 = xr | v0 = sz10 | ~ (doDivides0(v0, xr) = 0) | ? [v1] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1))
% 242.80/186.10 | (67) sdtasdt0(xr, all_0_5_5) = all_0_12_12
% 242.80/186.10 | (68) ! [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))))
% 242.80/186.10 | (69) ! [v0] : ! [v1] : ! [v2] : (v0 = xp | v0 = sz10 | ~ (doDivides0(v0, xp) = v1) | ~ (sdtasdt0(v0, v2) = xp) | ? [v3] : (( ~ (v3 = 0) & aNaturalNumber0(v2) = v3) | ( ~ (v3 = 0) & aNaturalNumber0(v0) = v3)))
% 242.80/186.10 | (70) ! [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)))
% 242.80/186.10 | (71) aNaturalNumber0(all_0_3_3) = 0
% 242.80/186.10 | (72) aNaturalNumber0(sz10) = 0
% 242.80/186.10 | (73) ! [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)))
% 242.80/186.10 | (74) ! [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)))))
% 242.80/186.10 | (75) ! [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))))
% 242.80/186.11 | (76) ! [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)))))
% 242.80/186.11 | (77) all_0_9_9 = all_0_12_12 | ( ~ (all_0_7_7 = 0) & ! [v0] : ( ~ (sdtpldt0(all_0_9_9, v0) = all_0_12_12) | ? [v1] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1))) | ( ~ (all_0_8_8 = 0) & ! [v0] : ( ~ (sdtpldt0(all_0_12_12, v0) = all_0_9_9) | ? [v1] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1)))
% 242.80/186.11 | (78) aNaturalNumber0(all_0_4_4) = 0
% 242.80/186.11 | (79) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0))
% 242.80/186.11 | (80) ! [v0] : ! [v1] : ( ~ (sdtasdt0(sz10, v0) = v1) | ? [v2] : ? [v3] : (sdtasdt0(v0, sz10) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v2 = 0) | (v3 = v0 & v1 = v0))))
% 242.80/186.11 | (81) aNaturalNumber0(all_0_0_0) = 0
% 242.80/186.11 | (82) sdtasdt0(xr, all_0_3_3) = xk
% 242.80/186.11 | (83) sdtlseqdt0(xp, xm) = all_0_10_10
% 242.80/186.11 | (84) ! [v0] : ( ~ (sdtpldt0(xp, v0) = xn) | ? [v1] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1))
% 242.80/186.11 | (85) ~ (sz10 = sz00)
% 242.80/186.11 | (86) doDivides0(xp, all_0_12_12) = 0
% 242.80/186.11 | (87) aNaturalNumber0(all_0_2_2) = 0
% 242.80/186.11 | (88) ! [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))))
% 242.80/186.11 | (89) ! [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))))
% 242.80/186.11 | (90) ! [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))))
% 242.80/186.11 | (91) doDivides0(xr, all_0_12_12) = 0
% 242.80/186.11 | (92) ! [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)))))
% 242.80/186.11 | (93) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (isPrime0(v2) = v1) | ~ (isPrime0(v2) = v0))
% 242.80/186.11 | (94) ! [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)))))
% 242.80/186.11 | (95) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sdtmndt0(v1, v0) = v2) | ~ (sdtpldt0(v0, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ((v4 = 0 & aNaturalNumber0(v2) = 0) | (sdtlseqdt0(v0, v1) = v6 & aNaturalNumber0(v1) = v5 & aNaturalNumber0(v0) = v4 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0)))))
% 242.80/186.11 | (96) doDivides0(xr, xk) = 0
% 242.80/186.11 | (97) sdtasdt0(xp, all_0_0_0) = all_0_12_12
% 242.80/186.11 | (98) ! [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)))
% 242.80/186.11 | (99) ! [v0] : ! [v1] : ( ~ (sdtasdt0(sz00, v0) = v1) | ? [v2] : ? [v3] : (sdtasdt0(v0, sz00) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v2 = 0) | (v3 = sz00 & v1 = sz00))))
% 242.80/186.11 | (100) sdtpldt0(all_0_14_14, xp) = all_0_13_13
% 242.80/186.11 | (101) ~ (xp = xn)
% 242.80/186.11 | (102) ~ (xk = sz10)
% 242.80/186.11 | (103) sdtlseqdt0(xp, xn) = all_0_11_11
% 242.80/186.11 | (104) ! [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)))
% 242.80/186.11 | (105) sdtasdt0(xp, xk) = all_0_12_12
% 242.80/186.11 | (106) aNaturalNumber0(xp) = 0
% 242.80/186.11 | (107) aNaturalNumber0(sz00) = 0
% 242.80/186.11 | (108) ! [v0] : ( ~ (sdtpldt0(xp, v0) = xm) | ? [v1] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1))
% 242.80/186.11 | (109) aNaturalNumber0(all_0_5_5) = 0
% 242.80/186.11 | (110) ~ (xp = xm)
% 242.80/186.11 | (111) ! [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)))
% 242.80/186.11 | (112) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (doDivides0(v3, v2) = v1) | ~ (doDivides0(v3, v2) = v0))
% 242.80/186.11 |
% 242.80/186.11 | Instantiating formula (98) with all_0_12_12, xr and discharging atoms doDivides0(xr, all_0_12_12) = 0, yields:
% 242.80/186.11 | (113) all_0_12_12 = sz00 | ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(xr, all_0_12_12) = v2 & aNaturalNumber0(all_0_12_12) = v1 & aNaturalNumber0(xr) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 242.80/186.11 |
% 242.80/186.11 | Instantiating formula (98) with xk, xr and discharging atoms doDivides0(xr, xk) = 0, yields:
% 242.80/186.11 | (114) xk = sz00 | ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(xr, xk) = v2 & aNaturalNumber0(xr) = v0 & aNaturalNumber0(xk) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 242.80/186.11 |
% 242.80/186.11 | Instantiating formula (94) with xk, xr and discharging atoms doDivides0(xr, xk) = 0, yields:
% 242.80/186.11 | (115) ? [v0] : ? [v1] : ? [v2] : ((v2 = xk & v1 = 0 & sdtasdt0(xr, v0) = xk & aNaturalNumber0(v0) = 0) | (aNaturalNumber0(xr) = v0 & aNaturalNumber0(xk) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0))))
% 242.92/186.11 |
% 242.92/186.11 | Instantiating formula (98) with all_0_12_12, xp and discharging atoms doDivides0(xp, all_0_12_12) = 0, yields:
% 242.92/186.11 | (116) all_0_12_12 = sz00 | ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(xp, all_0_12_12) = v2 & aNaturalNumber0(all_0_12_12) = v1 & aNaturalNumber0(xp) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 242.92/186.12 |
% 242.92/186.12 | Instantiating formula (94) with all_0_12_12, xp and discharging atoms doDivides0(xp, all_0_12_12) = 0, yields:
% 242.92/186.12 | (117) ? [v0] : ? [v1] : ? [v2] : ((v2 = all_0_12_12 & v1 = 0 & sdtasdt0(xp, v0) = all_0_12_12 & aNaturalNumber0(v0) = 0) | (aNaturalNumber0(all_0_12_12) = v1 & aNaturalNumber0(xp) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))))
% 242.92/186.12 |
% 242.92/186.12 | Instantiating formula (74) with xk, xp and discharging atoms sdtlseqdt0(xp, xk) = 0, yields:
% 242.92/186.12 | (118) ? [v0] : ? [v1] : ? [v2] : ((v2 = xk & v1 = 0 & sdtpldt0(xp, v0) = xk & aNaturalNumber0(v0) = 0) | (aNaturalNumber0(xk) = v1 & aNaturalNumber0(xp) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))))
% 242.92/186.12 |
% 242.92/186.12 | Instantiating formula (58) with all_0_10_10, xm, xk, xp and discharging atoms sdtlseqdt0(xp, xk) = 0, sdtlseqdt0(xp, xm) = all_0_10_10, yields:
% 242.92/186.12 | (119) all_0_10_10 = 0 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (sdtlseqdt0(xk, xm) = v3 & aNaturalNumber0(xk) = v1 & aNaturalNumber0(xp) = v0 & aNaturalNumber0(xm) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 242.92/186.12 |
% 242.92/186.12 | Instantiating formula (58) with all_0_11_11, xn, xk, xp and discharging atoms sdtlseqdt0(xp, xk) = 0, sdtlseqdt0(xp, xn) = all_0_11_11, yields:
% 242.92/186.12 | (120) all_0_11_11 = 0 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (sdtlseqdt0(xk, xn) = v3 & aNaturalNumber0(xk) = v1 & aNaturalNumber0(xp) = v0 & aNaturalNumber0(xn) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 242.92/186.12 |
% 242.92/186.12 | Instantiating formula (74) with xp, xm and discharging atoms sdtlseqdt0(xm, xp) = 0, yields:
% 242.92/186.12 | (121) ? [v0] : ? [v1] : ? [v2] : ((v2 = xp & v1 = 0 & sdtpldt0(xm, v0) = xp & aNaturalNumber0(v0) = 0) | (aNaturalNumber0(xp) = v1 & aNaturalNumber0(xm) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))))
% 242.92/186.12 |
% 242.92/186.12 | Instantiating formula (74) with xp, xn and discharging atoms sdtlseqdt0(xn, xp) = 0, yields:
% 242.92/186.12 | (122) ? [v0] : ? [v1] : ? [v2] : ((v2 = xp & v1 = 0 & sdtpldt0(xn, v0) = xp & aNaturalNumber0(v0) = 0) | (aNaturalNumber0(xp) = v1 & aNaturalNumber0(xn) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))))
% 242.92/186.12 |
% 242.92/186.12 | Instantiating formula (19) with xk, all_0_3_3, xr and discharging atoms sdtasdt0(xr, all_0_3_3) = xk, yields:
% 242.92/186.12 | (123) ? [v0] : ? [v1] : ? [v2] : (sdtasdt0(all_0_3_3, xr) = v2 & aNaturalNumber0(all_0_3_3) = v1 & aNaturalNumber0(xr) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = xk))
% 242.92/186.12 |
% 242.92/186.12 | Instantiating formula (19) with all_0_12_12, all_0_5_5, xr and discharging atoms sdtasdt0(xr, all_0_5_5) = all_0_12_12, yields:
% 242.92/186.12 | (124) ? [v0] : ? [v1] : ? [v2] : (sdtasdt0(all_0_5_5, xr) = v2 & aNaturalNumber0(all_0_5_5) = v1 & aNaturalNumber0(xr) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_0_12_12))
% 242.92/186.12 |
% 242.92/186.12 | Instantiating formula (70) with all_0_12_12, all_0_5_5, xr and discharging atoms sdtasdt0(xr, all_0_5_5) = all_0_12_12, yields:
% 242.92/186.12 | (125) ? [v0] : ? [v1] : ? [v2] : (aNaturalNumber0(all_0_5_5) = v1 & aNaturalNumber0(all_0_12_12) = v2 & aNaturalNumber0(xr) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 242.92/186.12 |
% 242.92/186.12 | Instantiating formula (24) with all_0_0_0, xk, all_0_12_12, xp and discharging atoms sdtsldt0(all_0_12_12, xp) = xk, sdtasdt0(xp, all_0_0_0) = all_0_12_12, yields:
% 242.92/186.12 | (126) all_0_0_0 = xk | xp = sz00 | ? [v0] : ? [v1] : ? [v2] : (( ~ (v0 = 0) & aNaturalNumber0(all_0_0_0) = v0) | (doDivides0(xp, all_0_12_12) = v2 & aNaturalNumber0(all_0_12_12) = v1 & aNaturalNumber0(xp) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))))
% 242.92/186.12 |
% 242.92/186.12 | Instantiating formula (33) with all_0_0_0, xp yields:
% 242.92/186.12 | (127) all_0_0_0 = sz00 | xp = sz00 | ~ (sdtasdt0(xp, all_0_0_0) = sz00) | ? [v0] : ? [v1] : (aNaturalNumber0(all_0_0_0) = v1 & aNaturalNumber0(xp) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 242.92/186.12 |
% 242.92/186.12 | Instantiating formula (19) with all_0_12_12, all_0_0_0, xp and discharging atoms sdtasdt0(xp, all_0_0_0) = all_0_12_12, yields:
% 242.92/186.12 | (128) ? [v0] : ? [v1] : ? [v2] : (sdtasdt0(all_0_0_0, xp) = v2 & aNaturalNumber0(all_0_0_0) = v1 & aNaturalNumber0(xp) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_0_12_12))
% 242.92/186.12 |
% 242.92/186.12 | Instantiating formula (70) with all_0_12_12, all_0_0_0, xp and discharging atoms sdtasdt0(xp, all_0_0_0) = all_0_12_12, yields:
% 242.92/186.12 | (129) ? [v0] : ? [v1] : ? [v2] : (aNaturalNumber0(all_0_0_0) = v1 & aNaturalNumber0(all_0_12_12) = v2 & aNaturalNumber0(xp) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 242.92/186.12 |
% 242.92/186.12 | Instantiating formula (90) with all_0_10_10, xm, xp, xk and discharging atoms sdtlseqdt0(xp, xm) = all_0_10_10, yields:
% 242.92/186.12 | (130) all_0_10_10 = 0 | xk = sz00 | ~ (sdtasdt0(xp, xk) = xm) | ? [v0] : ? [v1] : (aNaturalNumber0(xk) = v0 & aNaturalNumber0(xp) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 242.92/186.12 |
% 242.92/186.12 | Instantiating formula (33) with xk, xp yields:
% 242.92/186.12 | (131) xk = sz00 | xp = sz00 | ~ (sdtasdt0(xp, xk) = sz00) | ? [v0] : ? [v1] : (aNaturalNumber0(xk) = v1 & aNaturalNumber0(xp) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 242.92/186.12 |
% 242.92/186.12 | Instantiating formula (19) with all_0_12_12, xk, xp and discharging atoms sdtasdt0(xp, xk) = all_0_12_12, yields:
% 242.92/186.12 | (132) ? [v0] : ? [v1] : ? [v2] : (sdtasdt0(xk, xp) = v2 & aNaturalNumber0(xk) = v1 & aNaturalNumber0(xp) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_0_12_12))
% 242.92/186.12 |
% 242.92/186.12 | Instantiating formula (70) with all_0_12_12, xk, xp and discharging atoms sdtasdt0(xp, xk) = all_0_12_12, yields:
% 242.92/186.12 | (133) ? [v0] : ? [v1] : ? [v2] : (aNaturalNumber0(all_0_12_12) = v2 & aNaturalNumber0(xk) = v1 & aNaturalNumber0(xp) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 242.97/186.12 |
% 242.97/186.12 | Instantiating formula (76) with all_0_7_7, all_0_12_12, all_0_9_9, all_0_0_0, xm, xp and discharging atoms sdtlseqdt0(all_0_9_9, all_0_12_12) = all_0_7_7, sdtasdt0(xp, all_0_0_0) = all_0_12_12, sdtasdt0(xp, xm) = all_0_9_9, yields:
% 242.97/186.12 | (134) all_0_0_0 = xm | xp = sz00 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (sdtlseqdt0(v4, v5) = v6 & sdtlseqdt0(xm, all_0_0_0) = v3 & sdtasdt0(all_0_0_0, xp) = v5 & sdtasdt0(xm, xp) = v4 & aNaturalNumber0(all_0_0_0) = v2 & aNaturalNumber0(xp) = v0 & aNaturalNumber0(xm) = v1 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v6 = 0 & all_0_7_7 = 0 & ~ (v5 = v4) & ~ (all_0_9_9 = all_0_12_12))))
% 242.97/186.12 |
% 242.97/186.12 | Instantiating formula (76) with all_0_7_7, all_0_12_12, all_0_9_9, xk, xm, xp and discharging atoms sdtlseqdt0(all_0_9_9, all_0_12_12) = all_0_7_7, sdtasdt0(xp, xk) = all_0_12_12, sdtasdt0(xp, xm) = all_0_9_9, yields:
% 242.97/186.12 | (135) xk = xm | xp = sz00 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (sdtlseqdt0(v4, v5) = v6 & sdtlseqdt0(xm, xk) = v3 & sdtasdt0(xk, xp) = v5 & sdtasdt0(xm, xp) = v4 & aNaturalNumber0(xk) = v2 & aNaturalNumber0(xp) = v0 & aNaturalNumber0(xm) = v1 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v6 = 0 & all_0_7_7 = 0 & ~ (v5 = v4) & ~ (all_0_9_9 = all_0_12_12))))
% 242.97/186.12 |
% 242.97/186.12 | Instantiating formula (19) with all_0_9_9, xm, xp and discharging atoms sdtasdt0(xp, xm) = all_0_9_9, yields:
% 242.97/186.12 | (136) ? [v0] : ? [v1] : ? [v2] : (sdtasdt0(xm, xp) = v2 & aNaturalNumber0(xp) = v0 & aNaturalNumber0(xm) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_0_9_9))
% 242.97/186.12 |
% 242.97/186.12 | Instantiating formula (70) with all_0_9_9, xm, xp and discharging atoms sdtasdt0(xp, xm) = all_0_9_9, yields:
% 242.97/186.12 | (137) ? [v0] : ? [v1] : ? [v2] : (aNaturalNumber0(all_0_9_9) = v2 & aNaturalNumber0(xp) = v0 & aNaturalNumber0(xm) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 242.97/186.12 |
% 242.97/186.12 | Instantiating formula (80) with all_0_12_12, xm yields:
% 242.97/186.12 | (138) ~ (sdtasdt0(sz10, xm) = all_0_12_12) | ? [v0] : ? [v1] : (sdtasdt0(xm, sz10) = v1 & aNaturalNumber0(xm) = v0 & ( ~ (v0 = 0) | (v1 = xm & all_0_12_12 = xm)))
% 242.97/186.12 |
% 242.97/186.12 | Instantiating formula (99) with all_0_12_12, xm yields:
% 242.97/186.12 | (139) ~ (sdtasdt0(sz00, xm) = all_0_12_12) | ? [v0] : ? [v1] : (sdtasdt0(xm, sz00) = v1 & aNaturalNumber0(xm) = v0 & ( ~ (v0 = 0) | (v1 = sz00 & all_0_12_12 = sz00)))
% 242.97/186.12 |
% 242.97/186.12 | Instantiating formula (19) with all_0_12_12, xm, xn and discharging atoms sdtasdt0(xn, xm) = all_0_12_12, yields:
% 242.97/186.13 | (140) ? [v0] : ? [v1] : ? [v2] : (sdtasdt0(xm, xn) = v2 & aNaturalNumber0(xm) = v1 & aNaturalNumber0(xn) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_0_12_12))
% 242.97/186.13 |
% 242.97/186.13 | Instantiating formula (70) with all_0_12_12, xm, xn and discharging atoms sdtasdt0(xn, xm) = all_0_12_12, yields:
% 242.97/186.13 | (141) ? [v0] : ? [v1] : ? [v2] : (aNaturalNumber0(all_0_12_12) = v2 & aNaturalNumber0(xm) = v1 & aNaturalNumber0(xn) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 242.97/186.13 |
% 242.97/186.13 | Instantiating formula (111) with all_0_13_13, xp, all_0_14_14 and discharging atoms sdtpldt0(all_0_14_14, xp) = all_0_13_13, yields:
% 242.97/186.13 | (142) ? [v0] : ? [v1] : ? [v2] : (sdtpldt0(xp, all_0_14_14) = v2 & aNaturalNumber0(all_0_14_14) = v0 & aNaturalNumber0(xp) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_0_13_13))
% 242.97/186.13 |
% 242.97/186.13 | Instantiating formula (28) with all_0_13_13, xp, all_0_14_14 and discharging atoms sdtpldt0(all_0_14_14, xp) = all_0_13_13, yields:
% 242.97/186.13 | (143) ? [v0] : ? [v1] : ? [v2] : (aNaturalNumber0(all_0_13_13) = v2 & aNaturalNumber0(all_0_14_14) = v0 & aNaturalNumber0(xp) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 242.97/186.13 |
% 242.97/186.13 | Instantiating formula (73) with xk, all_0_4_4, xr, xr and discharging atoms doDivides0(xr, xk) = 0, sdtpldt0(xr, all_0_4_4) = xk, yields:
% 242.97/186.13 | (144) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (doDivides0(xr, all_0_4_4) = v4 & doDivides0(xr, xr) = v3 & aNaturalNumber0(all_0_4_4) = v2 & aNaturalNumber0(xr) = v1 & aNaturalNumber0(xr) = v0 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0))
% 242.97/186.13 |
% 242.97/186.13 | Instantiating formula (111) with xk, all_0_4_4, xr and discharging atoms sdtpldt0(xr, all_0_4_4) = xk, yields:
% 242.97/186.13 | (145) ? [v0] : ? [v1] : ? [v2] : (sdtpldt0(all_0_4_4, xr) = v2 & aNaturalNumber0(all_0_4_4) = v1 & aNaturalNumber0(xr) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = xk))
% 242.97/186.13 |
% 242.97/186.13 | Instantiating formula (92) with all_0_6_6, all_0_10_10, xm, xp and discharging atoms sdtlseqdt0(xp, xm) = all_0_10_10, yields:
% 242.97/186.13 | (146) all_0_10_10 = 0 | ~ (sdtpldt0(xp, all_0_6_6) = xm) | ? [v0] : ? [v1] : (( ~ (v0 = 0) & aNaturalNumber0(all_0_6_6) = v0) | (aNaturalNumber0(xp) = v0 & aNaturalNumber0(xm) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0))))
% 242.97/186.13 |
% 242.97/186.13 | Instantiating formula (73) with xk, all_0_6_6, xp, xr and discharging atoms doDivides0(xr, xk) = 0, sdtpldt0(xp, all_0_6_6) = xk, yields:
% 242.97/186.13 | (147) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (doDivides0(xr, all_0_6_6) = v4 & doDivides0(xr, xp) = v3 & aNaturalNumber0(all_0_6_6) = v2 & aNaturalNumber0(xr) = v0 & aNaturalNumber0(xp) = v1 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0))
% 242.97/186.13 |
% 242.97/186.13 | Instantiating formula (108) with all_0_6_6 yields:
% 242.97/186.13 | (148) ~ (sdtpldt0(xp, all_0_6_6) = xm) | ? [v0] : ( ~ (v0 = 0) & aNaturalNumber0(all_0_6_6) = v0)
% 242.97/186.13 |
% 242.97/186.13 | Instantiating formula (111) with xk, all_0_6_6, xp and discharging atoms sdtpldt0(xp, all_0_6_6) = xk, yields:
% 242.97/186.13 | (149) ? [v0] : ? [v1] : ? [v2] : (sdtpldt0(all_0_6_6, xp) = v2 & aNaturalNumber0(all_0_6_6) = v1 & aNaturalNumber0(xp) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = xk))
% 242.97/186.13 |
% 242.97/186.13 | Instantiating formula (23) with xp, xm, all_0_2_2, all_0_6_6, xp and discharging atoms sdtpldt0(xm, all_0_2_2) = xp, yields:
% 242.97/186.13 | (150) ~ (sdtpldt0(xp, all_0_6_6) = xm) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (isPrime0(all_0_2_2) = v3 & doDivides0(all_0_2_2, v4) = v5 & doDivides0(all_0_2_2, all_0_6_6) = v8 & doDivides0(all_0_2_2, xp) = v7 & iLess0(xp, all_0_13_13) = v6 & sdtasdt0(xp, all_0_6_6) = v4 & aNaturalNumber0(all_0_2_2) = v2 & aNaturalNumber0(all_0_6_6) = v1 & aNaturalNumber0(xp) = v0 & ( ~ (v6 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v11 = all_0_6_6 & v10 = 0 & v8 = 0 & sdtasdt0(all_0_2_2, v9) = all_0_6_6 & aNaturalNumber0(v9) = 0) | (v11 = xp & v10 = 0 & v7 = 0 & sdtasdt0(all_0_2_2, v9) = xp & aNaturalNumber0(v9) = 0) | ( ~ (v5 = 0) & ! [v15] : ( ~ (sdtasdt0(all_0_2_2, v15) = v4) | ? [v16] : ( ~ (v16 = 0) & aNaturalNumber0(v15) = v16))) | ( ~ (v3 = 0) & (all_0_2_2 = sz10 | all_0_2_2 = sz00 | (v14 = all_0_2_2 & v13 = 0 & v11 = 0 & v10 = 0 & ~ (v9 = all_0_2_2) & ~ (v9 = sz10) & doDivides0(v9, all_0_2_2) = 0 & sdtasdt0(v9, v12) = all_0_2_2 & aNaturalNumber0(v12) = 0 & aNaturalNumber0(v9) = 0)))))
% 242.97/186.13 |
% 242.97/186.13 | Instantiating formula (9) with xp, xm, all_0_2_2, all_0_6_6, xp and discharging atoms sdtpldt0(xm, all_0_2_2) = xp, yields:
% 242.97/186.13 | (151) ~ (sdtpldt0(xp, all_0_6_6) = xm) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(all_0_6_6, all_0_2_2) = v3 & sdtpldt0(xp, v3) = v4 & aNaturalNumber0(all_0_2_2) = v2 & aNaturalNumber0(all_0_6_6) = v1 & aNaturalNumber0(xp) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = xp))
% 242.97/186.13 |
% 242.97/186.13 | Instantiating formula (23) with xk, xp, all_0_6_6, all_0_2_2, xm and discharging atoms sdtpldt0(xp, all_0_6_6) = xk, sdtpldt0(xm, all_0_2_2) = xp, yields:
% 242.97/186.13 | (152) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (isPrime0(all_0_6_6) = v3 & doDivides0(all_0_6_6, v4) = v5 & doDivides0(all_0_6_6, all_0_2_2) = v8 & doDivides0(all_0_6_6, xm) = v7 & iLess0(xk, all_0_13_13) = v6 & sdtasdt0(xm, all_0_2_2) = v4 & aNaturalNumber0(all_0_2_2) = v1 & aNaturalNumber0(all_0_6_6) = v2 & aNaturalNumber0(xm) = v0 & ( ~ (v6 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v11 = all_0_2_2 & v10 = 0 & v8 = 0 & sdtasdt0(all_0_6_6, v9) = all_0_2_2 & aNaturalNumber0(v9) = 0) | (v11 = xm & v10 = 0 & v7 = 0 & sdtasdt0(all_0_6_6, v9) = xm & aNaturalNumber0(v9) = 0) | ( ~ (v5 = 0) & ! [v15] : ( ~ (sdtasdt0(all_0_6_6, v15) = v4) | ? [v16] : ( ~ (v16 = 0) & aNaturalNumber0(v15) = v16))) | ( ~ (v3 = 0) & (all_0_6_6 = sz10 | all_0_6_6 = sz00 | (v14 = all_0_6_6 & v13 = 0 & v11 = 0 & v10 = 0 & ~ (v9 = all_0_6_6) & ~ (v9 = sz10) & doDivides0(v9, all_0_6_6) = 0 & sdtasdt0(v9, v12) = all_0_6_6 & aNaturalNumber0(v12) = 0 & aNaturalNumber0(v9) = 0)))))
% 242.97/186.13 |
% 242.97/186.13 | Instantiating formula (9) with xk, xp, all_0_6_6, all_0_2_2, xm and discharging atoms sdtpldt0(xp, all_0_6_6) = xk, sdtpldt0(xm, all_0_2_2) = xp, yields:
% 242.97/186.13 | (153) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(all_0_2_2, all_0_6_6) = v3 & sdtpldt0(xm, v3) = v4 & aNaturalNumber0(all_0_2_2) = v1 & aNaturalNumber0(all_0_6_6) = v2 & aNaturalNumber0(xm) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = xk))
% 242.97/186.13 |
% 242.97/186.13 | Instantiating formula (111) with xp, all_0_2_2, xm and discharging atoms sdtpldt0(xm, all_0_2_2) = xp, yields:
% 242.97/186.13 | (154) ? [v0] : ? [v1] : ? [v2] : (sdtpldt0(all_0_2_2, xm) = v2 & aNaturalNumber0(all_0_2_2) = v1 & aNaturalNumber0(xm) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = xp))
% 242.97/186.13 |
% 242.97/186.13 | Instantiating formula (23) with xk, xp, all_0_6_6, all_0_1_1, xn and discharging atoms sdtpldt0(xp, all_0_6_6) = xk, sdtpldt0(xn, all_0_1_1) = xp, yields:
% 242.97/186.13 | (155) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (isPrime0(all_0_6_6) = v3 & doDivides0(all_0_6_6, v4) = v5 & doDivides0(all_0_6_6, all_0_1_1) = v8 & doDivides0(all_0_6_6, xn) = v7 & iLess0(xk, all_0_13_13) = v6 & sdtasdt0(xn, all_0_1_1) = v4 & aNaturalNumber0(all_0_1_1) = v1 & aNaturalNumber0(all_0_6_6) = v2 & aNaturalNumber0(xn) = v0 & ( ~ (v6 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v11 = all_0_1_1 & v10 = 0 & v8 = 0 & sdtasdt0(all_0_6_6, v9) = all_0_1_1 & aNaturalNumber0(v9) = 0) | (v11 = xn & v10 = 0 & v7 = 0 & sdtasdt0(all_0_6_6, v9) = xn & aNaturalNumber0(v9) = 0) | ( ~ (v5 = 0) & ! [v15] : ( ~ (sdtasdt0(all_0_6_6, v15) = v4) | ? [v16] : ( ~ (v16 = 0) & aNaturalNumber0(v15) = v16))) | ( ~ (v3 = 0) & (all_0_6_6 = sz10 | all_0_6_6 = sz00 | (v14 = all_0_6_6 & v13 = 0 & v11 = 0 & v10 = 0 & ~ (v9 = all_0_6_6) & ~ (v9 = sz10) & doDivides0(v9, all_0_6_6) = 0 & sdtasdt0(v9, v12) = all_0_6_6 & aNaturalNumber0(v12) = 0 & aNaturalNumber0(v9) = 0)))))
% 242.97/186.13 |
% 242.97/186.13 | Instantiating formula (9) with xk, xp, all_0_6_6, all_0_1_1, xn and discharging atoms sdtpldt0(xp, all_0_6_6) = xk, sdtpldt0(xn, all_0_1_1) = xp, yields:
% 242.97/186.13 | (156) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(all_0_1_1, all_0_6_6) = v3 & sdtpldt0(xn, v3) = v4 & aNaturalNumber0(all_0_1_1) = v1 & aNaturalNumber0(all_0_6_6) = v2 & aNaturalNumber0(xn) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = xk))
% 242.97/186.13 |
% 242.97/186.13 | Instantiating formula (111) with xp, all_0_1_1, xn and discharging atoms sdtpldt0(xn, all_0_1_1) = xp, yields:
% 242.97/186.13 | (157) ? [v0] : ? [v1] : ? [v2] : (sdtpldt0(all_0_1_1, xn) = v2 & aNaturalNumber0(all_0_1_1) = v1 & aNaturalNumber0(xn) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = xp))
% 242.97/186.14 |
% 242.97/186.14 | Instantiating formula (23) with all_0_13_13, all_0_14_14, xp, xm, xn and discharging atoms sdtpldt0(all_0_14_14, xp) = all_0_13_13, sdtpldt0(xn, xm) = all_0_14_14, yields:
% 242.97/186.14 | (158) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (isPrime0(xp) = v3 & doDivides0(xp, v4) = v5 & doDivides0(xp, xm) = v8 & doDivides0(xp, xn) = v7 & iLess0(all_0_13_13, all_0_13_13) = v6 & sdtasdt0(xn, xm) = v4 & aNaturalNumber0(xp) = v2 & aNaturalNumber0(xm) = v1 & aNaturalNumber0(xn) = v0 & ( ~ (v6 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v11 = xm & v10 = 0 & v8 = 0 & sdtasdt0(xp, v9) = xm & aNaturalNumber0(v9) = 0) | (v11 = xn & v10 = 0 & v7 = 0 & sdtasdt0(xp, v9) = xn & aNaturalNumber0(v9) = 0) | ( ~ (v5 = 0) & ! [v15] : ( ~ (sdtasdt0(xp, v15) = v4) | ? [v16] : ( ~ (v16 = 0) & aNaturalNumber0(v15) = v16))) | ( ~ (v3 = 0) & (xp = sz10 | xp = sz00 | (v14 = xp & v13 = 0 & v11 = 0 & v10 = 0 & ~ (v9 = xp) & ~ (v9 = sz10) & doDivides0(v9, xp) = 0 & sdtasdt0(v9, v12) = xp & aNaturalNumber0(v12) = 0 & aNaturalNumber0(v9) = 0)))))
% 242.97/186.14 |
% 242.97/186.14 | Instantiating formula (9) with all_0_13_13, all_0_14_14, xp, xm, xn and discharging atoms sdtpldt0(all_0_14_14, xp) = all_0_13_13, sdtpldt0(xn, xm) = all_0_14_14, yields:
% 242.97/186.14 | (159) ? [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_13_13))
% 242.97/186.14 |
% 242.97/186.14 | Instantiating formula (111) with all_0_14_14, xm, xn and discharging atoms sdtpldt0(xn, xm) = all_0_14_14, yields:
% 242.97/186.14 | (160) ? [v0] : ? [v1] : ? [v2] : (sdtpldt0(xm, xn) = v2 & aNaturalNumber0(xm) = v1 & aNaturalNumber0(xn) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_0_14_14))
% 242.97/186.14 |
% 242.97/186.14 | Instantiating formula (28) with all_0_14_14, xm, xn and discharging atoms sdtpldt0(xn, xm) = all_0_14_14, yields:
% 242.97/186.14 | (161) ? [v0] : ? [v1] : ? [v2] : (aNaturalNumber0(all_0_14_14) = v2 & aNaturalNumber0(xm) = v1 & aNaturalNumber0(xn) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 242.97/186.14 |
% 242.97/186.14 | Instantiating formula (8) with all_0_0_0 and discharging atoms aNaturalNumber0(all_0_0_0) = 0, yields:
% 242.97/186.14 | (162) all_0_0_0 = sz10 | all_0_0_0 = sz00 | ? [v0] : (isPrime0(v0) = 0 & doDivides0(v0, all_0_0_0) = 0 & aNaturalNumber0(v0) = 0)
% 242.97/186.14 |
% 242.97/186.14 | Instantiating formula (8) with xk and discharging atoms aNaturalNumber0(xk) = 0, yields:
% 242.97/186.14 | (163) xk = sz10 | xk = sz00 | ? [v0] : (isPrime0(v0) = 0 & doDivides0(v0, xk) = 0 & aNaturalNumber0(v0) = 0)
% 242.97/186.14 |
% 242.97/186.14 | Instantiating formula (62) with all_0_12_12, all_0_12_12, all_0_0_0, xk, xp and discharging atoms sdtasdt0(xp, all_0_0_0) = all_0_12_12, sdtasdt0(xp, xk) = all_0_12_12, aNaturalNumber0(xp) = 0, yields:
% 242.97/186.14 | (164) all_0_0_0 = xk | xp = sz00 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (sdtasdt0(all_0_0_0, xp) = v3 & sdtasdt0(xk, xp) = v2 & aNaturalNumber0(all_0_0_0) = v1 & aNaturalNumber0(xk) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 242.97/186.14 |
% 242.97/186.14 | Instantiating formula (62) with all_0_12_12, all_0_9_9, xk, xm, xp and discharging atoms sdtasdt0(xp, xk) = all_0_12_12, sdtasdt0(xp, xm) = all_0_9_9, aNaturalNumber0(xp) = 0, yields:
% 242.97/186.14 | (165) xk = xm | xp = sz00 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (sdtasdt0(xk, xp) = v3 & sdtasdt0(xm, xp) = v2 & aNaturalNumber0(xk) = v1 & aNaturalNumber0(xm) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | ( ~ (v3 = v2) & ~ (all_0_9_9 = all_0_12_12))))
% 242.97/186.14 |
% 242.97/186.14 | Instantiating formula (62) with all_0_9_9, all_0_12_12, xm, all_0_0_0, xp and discharging atoms sdtasdt0(xp, all_0_0_0) = all_0_12_12, sdtasdt0(xp, xm) = all_0_9_9, aNaturalNumber0(xp) = 0, yields:
% 242.97/186.14 | (166) all_0_0_0 = xm | xp = sz00 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (sdtasdt0(all_0_0_0, xp) = v2 & sdtasdt0(xm, xp) = v3 & aNaturalNumber0(all_0_0_0) = v0 & aNaturalNumber0(xm) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | ( ~ (v3 = v2) & ~ (all_0_9_9 = all_0_12_12))))
% 242.97/186.14 |
% 242.97/186.14 | Instantiating formula (62) with all_0_9_9, all_0_12_12, xm, xk, xp and discharging atoms sdtasdt0(xp, xk) = all_0_12_12, sdtasdt0(xp, xm) = all_0_9_9, aNaturalNumber0(xp) = 0, yields:
% 242.97/186.14 | (167) xk = xm | xp = sz00 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (sdtasdt0(xk, xp) = v2 & sdtasdt0(xm, xp) = v3 & aNaturalNumber0(xk) = v0 & aNaturalNumber0(xm) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | ( ~ (v3 = v2) & ~ (all_0_9_9 = all_0_12_12))))
% 242.97/186.14 |
% 242.97/186.14 | Instantiating formula (8) with xp and discharging atoms aNaturalNumber0(xp) = 0, yields:
% 242.97/186.14 | (168) xp = sz10 | xp = sz00 | ? [v0] : (isPrime0(v0) = 0 & doDivides0(v0, xp) = 0 & aNaturalNumber0(v0) = 0)
% 242.97/186.14 |
% 242.97/186.14 | Instantiating formula (8) with xn and discharging atoms aNaturalNumber0(xn) = 0, yields:
% 242.97/186.14 | (169) xn = sz10 | xn = sz00 | ? [v0] : (isPrime0(v0) = 0 & doDivides0(v0, xn) = 0 & aNaturalNumber0(v0) = 0)
% 242.97/186.14 |
% 242.97/186.14 | Instantiating (161) with all_8_0_15, all_8_1_16, all_8_2_17 yields:
% 242.97/186.14 | (170) aNaturalNumber0(all_0_14_14) = all_8_0_15 & aNaturalNumber0(xm) = all_8_1_16 & aNaturalNumber0(xn) = all_8_2_17 & ( ~ (all_8_1_16 = 0) | ~ (all_8_2_17 = 0) | all_8_0_15 = 0)
% 242.97/186.14 |
% 242.97/186.14 | Applying alpha-rule on (170) yields:
% 242.97/186.14 | (171) aNaturalNumber0(all_0_14_14) = all_8_0_15
% 242.97/186.14 | (172) aNaturalNumber0(xm) = all_8_1_16
% 242.97/186.14 | (173) aNaturalNumber0(xn) = all_8_2_17
% 242.97/186.14 | (174) ~ (all_8_1_16 = 0) | ~ (all_8_2_17 = 0) | all_8_0_15 = 0
% 242.97/186.14 |
% 242.97/186.14 | Instantiating (160) with all_10_0_18, all_10_1_19, all_10_2_20 yields:
% 242.97/186.14 | (175) sdtpldt0(xm, xn) = all_10_0_18 & aNaturalNumber0(xm) = all_10_1_19 & aNaturalNumber0(xn) = all_10_2_20 & ( ~ (all_10_1_19 = 0) | ~ (all_10_2_20 = 0) | all_10_0_18 = all_0_14_14)
% 242.97/186.14 |
% 242.97/186.14 | Applying alpha-rule on (175) yields:
% 242.97/186.14 | (176) sdtpldt0(xm, xn) = all_10_0_18
% 242.97/186.14 | (177) aNaturalNumber0(xm) = all_10_1_19
% 242.97/186.14 | (178) aNaturalNumber0(xn) = all_10_2_20
% 242.97/186.14 | (179) ~ (all_10_1_19 = 0) | ~ (all_10_2_20 = 0) | all_10_0_18 = all_0_14_14
% 242.97/186.14 |
% 242.97/186.14 | Instantiating (154) with all_12_0_21, all_12_1_22, all_12_2_23 yields:
% 242.97/186.14 | (180) sdtpldt0(all_0_2_2, xm) = all_12_0_21 & aNaturalNumber0(all_0_2_2) = all_12_1_22 & aNaturalNumber0(xm) = all_12_2_23 & ( ~ (all_12_1_22 = 0) | ~ (all_12_2_23 = 0) | all_12_0_21 = xp)
% 242.97/186.14 |
% 242.97/186.14 | Applying alpha-rule on (180) yields:
% 242.97/186.14 | (181) sdtpldt0(all_0_2_2, xm) = all_12_0_21
% 242.97/186.14 | (182) aNaturalNumber0(all_0_2_2) = all_12_1_22
% 242.97/186.14 | (183) aNaturalNumber0(xm) = all_12_2_23
% 242.97/186.14 | (184) ~ (all_12_1_22 = 0) | ~ (all_12_2_23 = 0) | all_12_0_21 = xp
% 242.97/186.14 |
% 242.97/186.14 | Instantiating (153) with all_14_0_24, all_14_1_25, all_14_2_26, all_14_3_27, all_14_4_28 yields:
% 242.97/186.14 | (185) sdtpldt0(all_0_2_2, all_0_6_6) = all_14_1_25 & sdtpldt0(xm, all_14_1_25) = all_14_0_24 & aNaturalNumber0(all_0_2_2) = all_14_3_27 & aNaturalNumber0(all_0_6_6) = all_14_2_26 & aNaturalNumber0(xm) = all_14_4_28 & ( ~ (all_14_2_26 = 0) | ~ (all_14_3_27 = 0) | ~ (all_14_4_28 = 0) | all_14_0_24 = xk)
% 242.97/186.14 |
% 242.97/186.14 | Applying alpha-rule on (185) yields:
% 242.97/186.14 | (186) sdtpldt0(all_0_2_2, all_0_6_6) = all_14_1_25
% 242.97/186.14 | (187) aNaturalNumber0(all_0_2_2) = all_14_3_27
% 242.97/186.14 | (188) aNaturalNumber0(xm) = all_14_4_28
% 242.97/186.14 | (189) sdtpldt0(xm, all_14_1_25) = all_14_0_24
% 242.97/186.14 | (190) aNaturalNumber0(all_0_6_6) = all_14_2_26
% 242.97/186.14 | (191) ~ (all_14_2_26 = 0) | ~ (all_14_3_27 = 0) | ~ (all_14_4_28 = 0) | all_14_0_24 = xk
% 242.97/186.14 |
% 242.97/186.14 | Instantiating (147) with all_16_0_29, all_16_1_30, all_16_2_31, all_16_3_32, all_16_4_33 yields:
% 242.97/186.14 | (192) doDivides0(xr, all_0_6_6) = all_16_0_29 & doDivides0(xr, xp) = all_16_1_30 & aNaturalNumber0(all_0_6_6) = all_16_2_31 & aNaturalNumber0(xr) = all_16_4_33 & aNaturalNumber0(xp) = all_16_3_32 & ( ~ (all_16_1_30 = 0) | ~ (all_16_2_31 = 0) | ~ (all_16_3_32 = 0) | ~ (all_16_4_33 = 0) | all_16_0_29 = 0)
% 242.97/186.14 |
% 242.97/186.14 | Applying alpha-rule on (192) yields:
% 242.97/186.14 | (193) aNaturalNumber0(xp) = all_16_3_32
% 242.97/186.14 | (194) aNaturalNumber0(all_0_6_6) = all_16_2_31
% 242.97/186.15 | (195) doDivides0(xr, xp) = all_16_1_30
% 242.97/186.15 | (196) aNaturalNumber0(xr) = all_16_4_33
% 242.97/186.15 | (197) doDivides0(xr, all_0_6_6) = all_16_0_29
% 242.97/186.15 | (198) ~ (all_16_1_30 = 0) | ~ (all_16_2_31 = 0) | ~ (all_16_3_32 = 0) | ~ (all_16_4_33 = 0) | all_16_0_29 = 0
% 242.97/186.15 |
% 242.97/186.15 | Instantiating (141) with all_18_0_34, all_18_1_35, all_18_2_36 yields:
% 242.97/186.15 | (199) aNaturalNumber0(all_0_12_12) = all_18_0_34 & aNaturalNumber0(xm) = all_18_1_35 & aNaturalNumber0(xn) = all_18_2_36 & ( ~ (all_18_1_35 = 0) | ~ (all_18_2_36 = 0) | all_18_0_34 = 0)
% 242.97/186.15 |
% 242.97/186.15 | Applying alpha-rule on (199) yields:
% 242.97/186.15 | (200) aNaturalNumber0(all_0_12_12) = all_18_0_34
% 242.97/186.15 | (201) aNaturalNumber0(xm) = all_18_1_35
% 242.97/186.15 | (202) aNaturalNumber0(xn) = all_18_2_36
% 242.97/186.15 | (203) ~ (all_18_1_35 = 0) | ~ (all_18_2_36 = 0) | all_18_0_34 = 0
% 242.97/186.15 |
% 242.97/186.15 | Instantiating (133) with all_20_0_37, all_20_1_38, all_20_2_39 yields:
% 242.97/186.15 | (204) aNaturalNumber0(all_0_12_12) = all_20_0_37 & aNaturalNumber0(xk) = all_20_1_38 & aNaturalNumber0(xp) = all_20_2_39 & ( ~ (all_20_1_38 = 0) | ~ (all_20_2_39 = 0) | all_20_0_37 = 0)
% 242.97/186.15 |
% 242.97/186.15 | Applying alpha-rule on (204) yields:
% 242.97/186.15 | (205) aNaturalNumber0(all_0_12_12) = all_20_0_37
% 242.97/186.15 | (206) aNaturalNumber0(xk) = all_20_1_38
% 242.97/186.15 | (207) aNaturalNumber0(xp) = all_20_2_39
% 242.97/186.15 | (208) ~ (all_20_1_38 = 0) | ~ (all_20_2_39 = 0) | all_20_0_37 = 0
% 242.97/186.15 |
% 242.97/186.15 | Instantiating (140) with all_22_0_40, all_22_1_41, all_22_2_42 yields:
% 242.97/186.15 | (209) sdtasdt0(xm, xn) = all_22_0_40 & aNaturalNumber0(xm) = all_22_1_41 & aNaturalNumber0(xn) = all_22_2_42 & ( ~ (all_22_1_41 = 0) | ~ (all_22_2_42 = 0) | all_22_0_40 = all_0_12_12)
% 242.97/186.15 |
% 242.97/186.15 | Applying alpha-rule on (209) yields:
% 242.97/186.15 | (210) sdtasdt0(xm, xn) = all_22_0_40
% 242.97/186.15 | (211) aNaturalNumber0(xm) = all_22_1_41
% 242.97/186.15 | (212) aNaturalNumber0(xn) = all_22_2_42
% 242.97/186.15 | (213) ~ (all_22_1_41 = 0) | ~ (all_22_2_42 = 0) | all_22_0_40 = all_0_12_12
% 242.97/186.15 |
% 242.97/186.15 | Instantiating (125) with all_24_0_43, all_24_1_44, all_24_2_45 yields:
% 242.97/186.15 | (214) aNaturalNumber0(all_0_5_5) = all_24_1_44 & aNaturalNumber0(all_0_12_12) = all_24_0_43 & aNaturalNumber0(xr) = all_24_2_45 & ( ~ (all_24_1_44 = 0) | ~ (all_24_2_45 = 0) | all_24_0_43 = 0)
% 242.97/186.15 |
% 242.97/186.15 | Applying alpha-rule on (214) yields:
% 242.97/186.15 | (215) aNaturalNumber0(all_0_5_5) = all_24_1_44
% 242.97/186.15 | (216) aNaturalNumber0(all_0_12_12) = all_24_0_43
% 242.97/186.15 | (217) aNaturalNumber0(xr) = all_24_2_45
% 242.97/186.15 | (218) ~ (all_24_1_44 = 0) | ~ (all_24_2_45 = 0) | all_24_0_43 = 0
% 242.97/186.15 |
% 242.97/186.15 | Instantiating (124) with all_26_0_46, all_26_1_47, all_26_2_48 yields:
% 242.97/186.15 | (219) sdtasdt0(all_0_5_5, xr) = all_26_0_46 & aNaturalNumber0(all_0_5_5) = all_26_1_47 & aNaturalNumber0(xr) = all_26_2_48 & ( ~ (all_26_1_47 = 0) | ~ (all_26_2_48 = 0) | all_26_0_46 = all_0_12_12)
% 242.97/186.15 |
% 242.97/186.15 | Applying alpha-rule on (219) yields:
% 242.97/186.15 | (220) sdtasdt0(all_0_5_5, xr) = all_26_0_46
% 242.97/186.15 | (221) aNaturalNumber0(all_0_5_5) = all_26_1_47
% 242.97/186.15 | (222) aNaturalNumber0(xr) = all_26_2_48
% 242.97/186.15 | (223) ~ (all_26_1_47 = 0) | ~ (all_26_2_48 = 0) | all_26_0_46 = all_0_12_12
% 242.97/186.15 |
% 242.97/186.15 | Instantiating (137) with all_28_0_49, all_28_1_50, all_28_2_51 yields:
% 242.97/186.15 | (224) aNaturalNumber0(all_0_9_9) = all_28_0_49 & aNaturalNumber0(xp) = all_28_2_51 & aNaturalNumber0(xm) = all_28_1_50 & ( ~ (all_28_1_50 = 0) | ~ (all_28_2_51 = 0) | all_28_0_49 = 0)
% 242.97/186.15 |
% 242.97/186.15 | Applying alpha-rule on (224) yields:
% 242.97/186.15 | (225) aNaturalNumber0(all_0_9_9) = all_28_0_49
% 242.97/186.15 | (226) aNaturalNumber0(xp) = all_28_2_51
% 242.97/186.15 | (227) aNaturalNumber0(xm) = all_28_1_50
% 242.97/186.15 | (228) ~ (all_28_1_50 = 0) | ~ (all_28_2_51 = 0) | all_28_0_49 = 0
% 242.97/186.15 |
% 242.97/186.15 | Instantiating (145) with all_30_0_52, all_30_1_53, all_30_2_54 yields:
% 242.97/186.15 | (229) sdtpldt0(all_0_4_4, xr) = all_30_0_52 & aNaturalNumber0(all_0_4_4) = all_30_1_53 & aNaturalNumber0(xr) = all_30_2_54 & ( ~ (all_30_1_53 = 0) | ~ (all_30_2_54 = 0) | all_30_0_52 = xk)
% 242.97/186.15 |
% 242.97/186.15 | Applying alpha-rule on (229) yields:
% 242.97/186.15 | (230) sdtpldt0(all_0_4_4, xr) = all_30_0_52
% 242.97/186.15 | (231) aNaturalNumber0(all_0_4_4) = all_30_1_53
% 242.97/186.15 | (232) aNaturalNumber0(xr) = all_30_2_54
% 242.97/186.15 | (233) ~ (all_30_1_53 = 0) | ~ (all_30_2_54 = 0) | all_30_0_52 = xk
% 242.97/186.15 |
% 242.97/186.15 | Instantiating (123) with all_32_0_55, all_32_1_56, all_32_2_57 yields:
% 242.97/186.15 | (234) sdtasdt0(all_0_3_3, xr) = all_32_0_55 & aNaturalNumber0(all_0_3_3) = all_32_1_56 & aNaturalNumber0(xr) = all_32_2_57 & ( ~ (all_32_1_56 = 0) | ~ (all_32_2_57 = 0) | all_32_0_55 = xk)
% 242.97/186.15 |
% 242.97/186.15 | Applying alpha-rule on (234) yields:
% 242.97/186.15 | (235) sdtasdt0(all_0_3_3, xr) = all_32_0_55
% 242.97/186.15 | (236) aNaturalNumber0(all_0_3_3) = all_32_1_56
% 242.97/186.15 | (237) aNaturalNumber0(xr) = all_32_2_57
% 242.97/186.15 | (238) ~ (all_32_1_56 = 0) | ~ (all_32_2_57 = 0) | all_32_0_55 = xk
% 242.97/186.15 |
% 242.97/186.15 | Instantiating (144) with all_34_0_58, all_34_1_59, all_34_2_60, all_34_3_61, all_34_4_62 yields:
% 242.97/186.15 | (239) doDivides0(xr, all_0_4_4) = all_34_0_58 & doDivides0(xr, xr) = all_34_1_59 & aNaturalNumber0(all_0_4_4) = all_34_2_60 & aNaturalNumber0(xr) = all_34_3_61 & aNaturalNumber0(xr) = all_34_4_62 & ( ~ (all_34_1_59 = 0) | ~ (all_34_2_60 = 0) | ~ (all_34_3_61 = 0) | ~ (all_34_4_62 = 0) | all_34_0_58 = 0)
% 242.97/186.15 |
% 242.97/186.15 | Applying alpha-rule on (239) yields:
% 242.97/186.15 | (240) ~ (all_34_1_59 = 0) | ~ (all_34_2_60 = 0) | ~ (all_34_3_61 = 0) | ~ (all_34_4_62 = 0) | all_34_0_58 = 0
% 242.97/186.15 | (241) aNaturalNumber0(all_0_4_4) = all_34_2_60
% 242.97/186.15 | (242) aNaturalNumber0(xr) = all_34_4_62
% 242.97/186.15 | (243) doDivides0(xr, all_0_4_4) = all_34_0_58
% 242.97/186.15 | (244) aNaturalNumber0(xr) = all_34_3_61
% 242.97/186.15 | (245) doDivides0(xr, xr) = all_34_1_59
% 242.97/186.15 |
% 242.97/186.15 | Instantiating (143) with all_36_0_63, all_36_1_64, all_36_2_65 yields:
% 242.97/186.15 | (246) aNaturalNumber0(all_0_13_13) = all_36_0_63 & aNaturalNumber0(all_0_14_14) = all_36_2_65 & aNaturalNumber0(xp) = all_36_1_64 & ( ~ (all_36_1_64 = 0) | ~ (all_36_2_65 = 0) | all_36_0_63 = 0)
% 242.97/186.15 |
% 242.97/186.15 | Applying alpha-rule on (246) yields:
% 242.97/186.15 | (247) aNaturalNumber0(all_0_13_13) = all_36_0_63
% 242.97/186.15 | (248) aNaturalNumber0(all_0_14_14) = all_36_2_65
% 242.97/186.15 | (249) aNaturalNumber0(xp) = all_36_1_64
% 242.97/186.15 | (250) ~ (all_36_1_64 = 0) | ~ (all_36_2_65 = 0) | all_36_0_63 = 0
% 242.97/186.15 |
% 242.97/186.15 | Instantiating (136) with all_38_0_66, all_38_1_67, all_38_2_68 yields:
% 242.97/186.15 | (251) sdtasdt0(xm, xp) = all_38_0_66 & aNaturalNumber0(xp) = all_38_2_68 & aNaturalNumber0(xm) = all_38_1_67 & ( ~ (all_38_1_67 = 0) | ~ (all_38_2_68 = 0) | all_38_0_66 = all_0_9_9)
% 242.97/186.15 |
% 242.97/186.15 | Applying alpha-rule on (251) yields:
% 242.97/186.15 | (252) sdtasdt0(xm, xp) = all_38_0_66
% 242.97/186.15 | (253) aNaturalNumber0(xp) = all_38_2_68
% 242.97/186.15 | (254) aNaturalNumber0(xm) = all_38_1_67
% 242.97/186.15 | (255) ~ (all_38_1_67 = 0) | ~ (all_38_2_68 = 0) | all_38_0_66 = all_0_9_9
% 242.97/186.15 |
% 242.97/186.15 | Instantiating (142) with all_40_0_69, all_40_1_70, all_40_2_71 yields:
% 242.97/186.16 | (256) sdtpldt0(xp, all_0_14_14) = all_40_0_69 & aNaturalNumber0(all_0_14_14) = all_40_2_71 & aNaturalNumber0(xp) = all_40_1_70 & ( ~ (all_40_1_70 = 0) | ~ (all_40_2_71 = 0) | all_40_0_69 = all_0_13_13)
% 242.97/186.16 |
% 242.97/186.16 | Applying alpha-rule on (256) yields:
% 242.97/186.16 | (257) sdtpldt0(xp, all_0_14_14) = all_40_0_69
% 242.97/186.16 | (258) aNaturalNumber0(all_0_14_14) = all_40_2_71
% 242.97/186.16 | (259) aNaturalNumber0(xp) = all_40_1_70
% 242.97/186.16 | (260) ~ (all_40_1_70 = 0) | ~ (all_40_2_71 = 0) | all_40_0_69 = all_0_13_13
% 242.97/186.16 |
% 242.97/186.16 | Instantiating (122) with all_42_0_72, all_42_1_73, all_42_2_74 yields:
% 242.97/186.16 | (261) (all_42_0_72 = xp & all_42_1_73 = 0 & sdtpldt0(xn, all_42_2_74) = xp & aNaturalNumber0(all_42_2_74) = 0) | (aNaturalNumber0(xp) = all_42_1_73 & aNaturalNumber0(xn) = all_42_2_74 & ( ~ (all_42_1_73 = 0) | ~ (all_42_2_74 = 0)))
% 242.97/186.16 |
% 242.97/186.16 | Instantiating (118) with all_43_0_75, all_43_1_76, all_43_2_77 yields:
% 242.97/186.16 | (262) (all_43_0_75 = xk & all_43_1_76 = 0 & sdtpldt0(xp, all_43_2_77) = xk & aNaturalNumber0(all_43_2_77) = 0) | (aNaturalNumber0(xk) = all_43_1_76 & aNaturalNumber0(xp) = all_43_2_77 & ( ~ (all_43_1_76 = 0) | ~ (all_43_2_77 = 0)))
% 242.97/186.16 |
% 242.97/186.16 | Instantiating (117) with all_44_0_78, all_44_1_79, all_44_2_80 yields:
% 242.97/186.16 | (263) (all_44_0_78 = all_0_12_12 & all_44_1_79 = 0 & sdtasdt0(xp, all_44_2_80) = all_0_12_12 & aNaturalNumber0(all_44_2_80) = 0) | (aNaturalNumber0(all_0_12_12) = all_44_1_79 & aNaturalNumber0(xp) = all_44_2_80 & ( ~ (all_44_1_79 = 0) | ~ (all_44_2_80 = 0)))
% 242.97/186.16 |
% 242.97/186.16 | Instantiating (152) with all_45_0_81, all_45_1_82, all_45_2_83, all_45_3_84, all_45_4_85, all_45_5_86, all_45_6_87, all_45_7_88, all_45_8_89, all_45_9_90, all_45_10_91, all_45_11_92, all_45_12_93, all_45_13_94, all_45_14_95 yields:
% 242.97/186.16 | (264) isPrime0(all_0_6_6) = all_45_11_92 & doDivides0(all_0_6_6, all_45_10_91) = all_45_9_90 & doDivides0(all_0_6_6, all_0_2_2) = all_45_6_87 & doDivides0(all_0_6_6, xm) = all_45_7_88 & iLess0(xk, all_0_13_13) = all_45_8_89 & sdtasdt0(xm, all_0_2_2) = all_45_10_91 & aNaturalNumber0(all_0_2_2) = all_45_13_94 & aNaturalNumber0(all_0_6_6) = all_45_12_93 & aNaturalNumber0(xm) = all_45_14_95 & ( ~ (all_45_8_89 = 0) | ~ (all_45_12_93 = 0) | ~ (all_45_13_94 = 0) | ~ (all_45_14_95 = 0) | (all_45_3_84 = all_0_2_2 & all_45_4_85 = 0 & all_45_6_87 = 0 & sdtasdt0(all_0_6_6, all_45_5_86) = all_0_2_2 & aNaturalNumber0(all_45_5_86) = 0) | (all_45_3_84 = xm & all_45_4_85 = 0 & all_45_7_88 = 0 & sdtasdt0(all_0_6_6, all_45_5_86) = xm & aNaturalNumber0(all_45_5_86) = 0) | ( ~ (all_45_9_90 = 0) & ! [v0] : ( ~ (sdtasdt0(all_0_6_6, v0) = all_45_10_91) | ? [v1] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1))) | ( ~ (all_45_11_92 = 0) & (all_0_6_6 = sz10 | all_0_6_6 = sz00 | (all_45_0_81 = all_0_6_6 & all_45_1_82 = 0 & all_45_3_84 = 0 & all_45_4_85 = 0 & ~ (all_45_5_86 = all_0_6_6) & ~ (all_45_5_86 = sz10) & doDivides0(all_45_5_86, all_0_6_6) = 0 & sdtasdt0(all_45_5_86, all_45_2_83) = all_0_6_6 & aNaturalNumber0(all_45_2_83) = 0 & aNaturalNumber0(all_45_5_86) = 0))))
% 242.97/186.16 |
% 242.97/186.16 | Applying alpha-rule on (264) yields:
% 242.97/186.16 | (265) aNaturalNumber0(xm) = all_45_14_95
% 242.97/186.16 | (266) aNaturalNumber0(all_0_6_6) = all_45_12_93
% 242.97/186.16 | (267) iLess0(xk, all_0_13_13) = all_45_8_89
% 242.97/186.16 | (268) aNaturalNumber0(all_0_2_2) = all_45_13_94
% 242.97/186.16 | (269) doDivides0(all_0_6_6, all_0_2_2) = all_45_6_87
% 242.97/186.16 | (270) ~ (all_45_8_89 = 0) | ~ (all_45_12_93 = 0) | ~ (all_45_13_94 = 0) | ~ (all_45_14_95 = 0) | (all_45_3_84 = all_0_2_2 & all_45_4_85 = 0 & all_45_6_87 = 0 & sdtasdt0(all_0_6_6, all_45_5_86) = all_0_2_2 & aNaturalNumber0(all_45_5_86) = 0) | (all_45_3_84 = xm & all_45_4_85 = 0 & all_45_7_88 = 0 & sdtasdt0(all_0_6_6, all_45_5_86) = xm & aNaturalNumber0(all_45_5_86) = 0) | ( ~ (all_45_9_90 = 0) & ! [v0] : ( ~ (sdtasdt0(all_0_6_6, v0) = all_45_10_91) | ? [v1] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1))) | ( ~ (all_45_11_92 = 0) & (all_0_6_6 = sz10 | all_0_6_6 = sz00 | (all_45_0_81 = all_0_6_6 & all_45_1_82 = 0 & all_45_3_84 = 0 & all_45_4_85 = 0 & ~ (all_45_5_86 = all_0_6_6) & ~ (all_45_5_86 = sz10) & doDivides0(all_45_5_86, all_0_6_6) = 0 & sdtasdt0(all_45_5_86, all_45_2_83) = all_0_6_6 & aNaturalNumber0(all_45_2_83) = 0 & aNaturalNumber0(all_45_5_86) = 0)))
% 242.97/186.16 | (271) doDivides0(all_0_6_6, xm) = all_45_7_88
% 242.97/186.16 | (272) doDivides0(all_0_6_6, all_45_10_91) = all_45_9_90
% 242.97/186.16 | (273) isPrime0(all_0_6_6) = all_45_11_92
% 242.97/186.16 | (274) sdtasdt0(xm, all_0_2_2) = all_45_10_91
% 242.97/186.16 |
% 242.97/186.16 | Instantiating (149) with all_47_0_96, all_47_1_97, all_47_2_98 yields:
% 242.97/186.16 | (275) sdtpldt0(all_0_6_6, xp) = all_47_0_96 & aNaturalNumber0(all_0_6_6) = all_47_1_97 & aNaturalNumber0(xp) = all_47_2_98 & ( ~ (all_47_1_97 = 0) | ~ (all_47_2_98 = 0) | all_47_0_96 = xk)
% 242.97/186.16 |
% 242.97/186.16 | Applying alpha-rule on (275) yields:
% 242.97/186.16 | (276) sdtpldt0(all_0_6_6, xp) = all_47_0_96
% 242.97/186.16 | (277) aNaturalNumber0(all_0_6_6) = all_47_1_97
% 242.97/186.16 | (278) aNaturalNumber0(xp) = all_47_2_98
% 242.97/186.16 | (279) ~ (all_47_1_97 = 0) | ~ (all_47_2_98 = 0) | all_47_0_96 = xk
% 242.97/186.16 |
% 242.97/186.16 | Instantiating (159) with all_49_0_99, all_49_1_100, all_49_2_101, all_49_3_102, all_49_4_103 yields:
% 242.97/186.16 | (280) sdtpldt0(xm, xp) = all_49_1_100 & sdtpldt0(xn, all_49_1_100) = all_49_0_99 & aNaturalNumber0(xp) = all_49_2_101 & aNaturalNumber0(xm) = all_49_3_102 & aNaturalNumber0(xn) = all_49_4_103 & ( ~ (all_49_2_101 = 0) | ~ (all_49_3_102 = 0) | ~ (all_49_4_103 = 0) | all_49_0_99 = all_0_13_13)
% 242.97/186.16 |
% 242.97/186.16 | Applying alpha-rule on (280) yields:
% 242.97/186.16 | (281) aNaturalNumber0(xm) = all_49_3_102
% 242.97/186.16 | (282) aNaturalNumber0(xn) = all_49_4_103
% 242.97/186.16 | (283) sdtpldt0(xm, xp) = all_49_1_100
% 242.97/186.16 | (284) sdtpldt0(xn, all_49_1_100) = all_49_0_99
% 242.97/186.16 | (285) ~ (all_49_2_101 = 0) | ~ (all_49_3_102 = 0) | ~ (all_49_4_103 = 0) | all_49_0_99 = all_0_13_13
% 242.97/186.16 | (286) aNaturalNumber0(xp) = all_49_2_101
% 242.97/186.16 |
% 242.97/186.16 | Instantiating (157) with all_51_0_104, all_51_1_105, all_51_2_106 yields:
% 242.97/186.16 | (287) sdtpldt0(all_0_1_1, xn) = all_51_0_104 & aNaturalNumber0(all_0_1_1) = all_51_1_105 & aNaturalNumber0(xn) = all_51_2_106 & ( ~ (all_51_1_105 = 0) | ~ (all_51_2_106 = 0) | all_51_0_104 = xp)
% 242.97/186.16 |
% 242.97/186.16 | Applying alpha-rule on (287) yields:
% 242.97/186.16 | (288) sdtpldt0(all_0_1_1, xn) = all_51_0_104
% 242.97/186.16 | (289) aNaturalNumber0(all_0_1_1) = all_51_1_105
% 242.97/186.16 | (290) aNaturalNumber0(xn) = all_51_2_106
% 242.97/186.16 | (291) ~ (all_51_1_105 = 0) | ~ (all_51_2_106 = 0) | all_51_0_104 = xp
% 242.97/186.16 |
% 242.97/186.16 | Instantiating (115) with all_53_0_107, all_53_1_108, all_53_2_109 yields:
% 242.97/186.16 | (292) (all_53_0_107 = xk & all_53_1_108 = 0 & sdtasdt0(xr, all_53_2_109) = xk & aNaturalNumber0(all_53_2_109) = 0) | (aNaturalNumber0(xr) = all_53_2_109 & aNaturalNumber0(xk) = all_53_1_108 & ( ~ (all_53_1_108 = 0) | ~ (all_53_2_109 = 0)))
% 242.97/186.16 |
% 242.97/186.16 | Instantiating (158) with all_55_0_113, all_55_1_114, all_55_2_115, all_55_3_116, all_55_4_117, all_55_5_118, all_55_6_119, all_55_7_120, all_55_8_121, all_55_9_122, all_55_10_123, all_55_11_124, all_55_12_125, all_55_13_126, all_55_14_127 yields:
% 242.97/186.16 | (293) isPrime0(xp) = all_55_11_124 & doDivides0(xp, all_55_10_123) = all_55_9_122 & doDivides0(xp, xm) = all_55_6_119 & doDivides0(xp, xn) = all_55_7_120 & iLess0(all_0_13_13, all_0_13_13) = all_55_8_121 & sdtasdt0(xn, xm) = all_55_10_123 & aNaturalNumber0(xp) = all_55_12_125 & aNaturalNumber0(xm) = all_55_13_126 & aNaturalNumber0(xn) = all_55_14_127 & ( ~ (all_55_8_121 = 0) | ~ (all_55_12_125 = 0) | ~ (all_55_13_126 = 0) | ~ (all_55_14_127 = 0) | (all_55_3_116 = xm & all_55_4_117 = 0 & all_55_6_119 = 0 & sdtasdt0(xp, all_55_5_118) = xm & aNaturalNumber0(all_55_5_118) = 0) | (all_55_3_116 = xn & all_55_4_117 = 0 & all_55_7_120 = 0 & sdtasdt0(xp, all_55_5_118) = xn & aNaturalNumber0(all_55_5_118) = 0) | ( ~ (all_55_9_122 = 0) & ! [v0] : ( ~ (sdtasdt0(xp, v0) = all_55_10_123) | ? [v1] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1))) | ( ~ (all_55_11_124 = 0) & (xp = sz10 | xp = sz00 | (all_55_0_113 = xp & all_55_1_114 = 0 & all_55_3_116 = 0 & all_55_4_117 = 0 & ~ (all_55_5_118 = xp) & ~ (all_55_5_118 = sz10) & doDivides0(all_55_5_118, xp) = 0 & sdtasdt0(all_55_5_118, all_55_2_115) = xp & aNaturalNumber0(all_55_2_115) = 0 & aNaturalNumber0(all_55_5_118) = 0))))
% 242.97/186.16 |
% 242.97/186.16 | Applying alpha-rule on (293) yields:
% 242.97/186.16 | (294) doDivides0(xp, xn) = all_55_7_120
% 242.97/186.16 | (295) aNaturalNumber0(xm) = all_55_13_126
% 242.97/186.16 | (296) doDivides0(xp, all_55_10_123) = all_55_9_122
% 242.97/186.16 | (297) ~ (all_55_8_121 = 0) | ~ (all_55_12_125 = 0) | ~ (all_55_13_126 = 0) | ~ (all_55_14_127 = 0) | (all_55_3_116 = xm & all_55_4_117 = 0 & all_55_6_119 = 0 & sdtasdt0(xp, all_55_5_118) = xm & aNaturalNumber0(all_55_5_118) = 0) | (all_55_3_116 = xn & all_55_4_117 = 0 & all_55_7_120 = 0 & sdtasdt0(xp, all_55_5_118) = xn & aNaturalNumber0(all_55_5_118) = 0) | ( ~ (all_55_9_122 = 0) & ! [v0] : ( ~ (sdtasdt0(xp, v0) = all_55_10_123) | ? [v1] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1))) | ( ~ (all_55_11_124 = 0) & (xp = sz10 | xp = sz00 | (all_55_0_113 = xp & all_55_1_114 = 0 & all_55_3_116 = 0 & all_55_4_117 = 0 & ~ (all_55_5_118 = xp) & ~ (all_55_5_118 = sz10) & doDivides0(all_55_5_118, xp) = 0 & sdtasdt0(all_55_5_118, all_55_2_115) = xp & aNaturalNumber0(all_55_2_115) = 0 & aNaturalNumber0(all_55_5_118) = 0)))
% 242.97/186.16 | (298) aNaturalNumber0(xp) = all_55_12_125
% 242.97/186.16 | (299) iLess0(all_0_13_13, all_0_13_13) = all_55_8_121
% 242.97/186.16 | (300) doDivides0(xp, xm) = all_55_6_119
% 242.97/186.16 | (301) aNaturalNumber0(xn) = all_55_14_127
% 242.97/186.16 | (302) isPrime0(xp) = all_55_11_124
% 242.97/186.16 | (303) sdtasdt0(xn, xm) = all_55_10_123
% 242.97/186.16 |
% 242.97/186.16 | Instantiating (121) with all_57_0_128, all_57_1_129, all_57_2_130 yields:
% 242.97/186.16 | (304) (all_57_0_128 = xp & all_57_1_129 = 0 & sdtpldt0(xm, all_57_2_130) = xp & aNaturalNumber0(all_57_2_130) = 0) | (aNaturalNumber0(xp) = all_57_1_129 & aNaturalNumber0(xm) = all_57_2_130 & ( ~ (all_57_1_129 = 0) | ~ (all_57_2_130 = 0)))
% 242.97/186.16 |
% 242.97/186.16 | Instantiating (132) with all_58_0_131, all_58_1_132, all_58_2_133 yields:
% 242.97/186.16 | (305) sdtasdt0(xk, xp) = all_58_0_131 & aNaturalNumber0(xk) = all_58_1_132 & aNaturalNumber0(xp) = all_58_2_133 & ( ~ (all_58_1_132 = 0) | ~ (all_58_2_133 = 0) | all_58_0_131 = all_0_12_12)
% 242.97/186.17 |
% 242.97/186.17 | Applying alpha-rule on (305) yields:
% 242.97/186.17 | (306) sdtasdt0(xk, xp) = all_58_0_131
% 242.97/186.17 | (307) aNaturalNumber0(xk) = all_58_1_132
% 242.97/186.17 | (308) aNaturalNumber0(xp) = all_58_2_133
% 242.97/186.17 | (309) ~ (all_58_1_132 = 0) | ~ (all_58_2_133 = 0) | all_58_0_131 = all_0_12_12
% 242.97/186.17 |
% 242.97/186.17 | Instantiating (129) with all_60_0_134, all_60_1_135, all_60_2_136 yields:
% 242.97/186.17 | (310) aNaturalNumber0(all_0_0_0) = all_60_1_135 & aNaturalNumber0(all_0_12_12) = all_60_0_134 & aNaturalNumber0(xp) = all_60_2_136 & ( ~ (all_60_1_135 = 0) | ~ (all_60_2_136 = 0) | all_60_0_134 = 0)
% 242.97/186.17 |
% 242.97/186.17 | Applying alpha-rule on (310) yields:
% 242.97/186.17 | (311) aNaturalNumber0(all_0_0_0) = all_60_1_135
% 242.97/186.17 | (312) aNaturalNumber0(all_0_12_12) = all_60_0_134
% 242.97/186.17 | (313) aNaturalNumber0(xp) = all_60_2_136
% 242.97/186.17 | (314) ~ (all_60_1_135 = 0) | ~ (all_60_2_136 = 0) | all_60_0_134 = 0
% 242.97/186.17 |
% 242.97/186.17 | Instantiating (156) with all_62_0_137, all_62_1_138, all_62_2_139, all_62_3_140, all_62_4_141 yields:
% 242.97/186.17 | (315) sdtpldt0(all_0_1_1, all_0_6_6) = all_62_1_138 & sdtpldt0(xn, all_62_1_138) = all_62_0_137 & aNaturalNumber0(all_0_1_1) = all_62_3_140 & aNaturalNumber0(all_0_6_6) = all_62_2_139 & aNaturalNumber0(xn) = all_62_4_141 & ( ~ (all_62_2_139 = 0) | ~ (all_62_3_140 = 0) | ~ (all_62_4_141 = 0) | all_62_0_137 = xk)
% 242.97/186.17 |
% 242.97/186.17 | Applying alpha-rule on (315) yields:
% 242.97/186.17 | (316) sdtpldt0(all_0_1_1, all_0_6_6) = all_62_1_138
% 242.97/186.17 | (317) aNaturalNumber0(all_0_1_1) = all_62_3_140
% 242.97/186.17 | (318) ~ (all_62_2_139 = 0) | ~ (all_62_3_140 = 0) | ~ (all_62_4_141 = 0) | all_62_0_137 = xk
% 242.97/186.17 | (319) sdtpldt0(xn, all_62_1_138) = all_62_0_137
% 242.97/186.17 | (320) aNaturalNumber0(xn) = all_62_4_141
% 242.97/186.17 | (321) aNaturalNumber0(all_0_6_6) = all_62_2_139
% 242.97/186.17 |
% 242.97/186.17 | Instantiating (128) with all_64_0_142, all_64_1_143, all_64_2_144 yields:
% 242.97/186.17 | (322) sdtasdt0(all_0_0_0, xp) = all_64_0_142 & aNaturalNumber0(all_0_0_0) = all_64_1_143 & aNaturalNumber0(xp) = all_64_2_144 & ( ~ (all_64_1_143 = 0) | ~ (all_64_2_144 = 0) | all_64_0_142 = all_0_12_12)
% 242.97/186.17 |
% 242.97/186.17 | Applying alpha-rule on (322) yields:
% 242.97/186.17 | (323) sdtasdt0(all_0_0_0, xp) = all_64_0_142
% 242.97/186.17 | (324) aNaturalNumber0(all_0_0_0) = all_64_1_143
% 242.97/186.17 | (325) aNaturalNumber0(xp) = all_64_2_144
% 242.97/186.17 | (326) ~ (all_64_1_143 = 0) | ~ (all_64_2_144 = 0) | all_64_0_142 = all_0_12_12
% 242.97/186.17 |
% 242.97/186.17 | Instantiating (155) with all_66_0_145, all_66_1_146, all_66_2_147, all_66_3_148, all_66_4_149, all_66_5_150, all_66_6_151, all_66_7_152, all_66_8_153, all_66_9_154, all_66_10_155, all_66_11_156, all_66_12_157, all_66_13_158, all_66_14_159 yields:
% 242.97/186.17 | (327) isPrime0(all_0_6_6) = all_66_11_156 & doDivides0(all_0_6_6, all_66_10_155) = all_66_9_154 & doDivides0(all_0_6_6, all_0_1_1) = all_66_6_151 & doDivides0(all_0_6_6, xn) = all_66_7_152 & iLess0(xk, all_0_13_13) = all_66_8_153 & sdtasdt0(xn, all_0_1_1) = all_66_10_155 & aNaturalNumber0(all_0_1_1) = all_66_13_158 & aNaturalNumber0(all_0_6_6) = all_66_12_157 & aNaturalNumber0(xn) = all_66_14_159 & ( ~ (all_66_8_153 = 0) | ~ (all_66_12_157 = 0) | ~ (all_66_13_158 = 0) | ~ (all_66_14_159 = 0) | (all_66_3_148 = all_0_1_1 & all_66_4_149 = 0 & all_66_6_151 = 0 & sdtasdt0(all_0_6_6, all_66_5_150) = all_0_1_1 & aNaturalNumber0(all_66_5_150) = 0) | (all_66_3_148 = xn & all_66_4_149 = 0 & all_66_7_152 = 0 & sdtasdt0(all_0_6_6, all_66_5_150) = xn & aNaturalNumber0(all_66_5_150) = 0) | ( ~ (all_66_9_154 = 0) & ! [v0] : ( ~ (sdtasdt0(all_0_6_6, v0) = all_66_10_155) | ? [v1] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1))) | ( ~ (all_66_11_156 = 0) & (all_0_6_6 = sz10 | all_0_6_6 = sz00 | (all_66_0_145 = all_0_6_6 & all_66_1_146 = 0 & all_66_3_148 = 0 & all_66_4_149 = 0 & ~ (all_66_5_150 = all_0_6_6) & ~ (all_66_5_150 = sz10) & doDivides0(all_66_5_150, all_0_6_6) = 0 & sdtasdt0(all_66_5_150, all_66_2_147) = all_0_6_6 & aNaturalNumber0(all_66_2_147) = 0 & aNaturalNumber0(all_66_5_150) = 0))))
% 242.97/186.17 |
% 242.97/186.17 | Applying alpha-rule on (327) yields:
% 242.97/186.17 | (328) aNaturalNumber0(all_0_6_6) = all_66_12_157
% 242.97/186.17 | (329) iLess0(xk, all_0_13_13) = all_66_8_153
% 242.97/186.17 | (330) ~ (all_66_8_153 = 0) | ~ (all_66_12_157 = 0) | ~ (all_66_13_158 = 0) | ~ (all_66_14_159 = 0) | (all_66_3_148 = all_0_1_1 & all_66_4_149 = 0 & all_66_6_151 = 0 & sdtasdt0(all_0_6_6, all_66_5_150) = all_0_1_1 & aNaturalNumber0(all_66_5_150) = 0) | (all_66_3_148 = xn & all_66_4_149 = 0 & all_66_7_152 = 0 & sdtasdt0(all_0_6_6, all_66_5_150) = xn & aNaturalNumber0(all_66_5_150) = 0) | ( ~ (all_66_9_154 = 0) & ! [v0] : ( ~ (sdtasdt0(all_0_6_6, v0) = all_66_10_155) | ? [v1] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1))) | ( ~ (all_66_11_156 = 0) & (all_0_6_6 = sz10 | all_0_6_6 = sz00 | (all_66_0_145 = all_0_6_6 & all_66_1_146 = 0 & all_66_3_148 = 0 & all_66_4_149 = 0 & ~ (all_66_5_150 = all_0_6_6) & ~ (all_66_5_150 = sz10) & doDivides0(all_66_5_150, all_0_6_6) = 0 & sdtasdt0(all_66_5_150, all_66_2_147) = all_0_6_6 & aNaturalNumber0(all_66_2_147) = 0 & aNaturalNumber0(all_66_5_150) = 0)))
% 242.97/186.17 | (331) doDivides0(all_0_6_6, all_66_10_155) = all_66_9_154
% 242.97/186.17 | (332) aNaturalNumber0(all_0_1_1) = all_66_13_158
% 242.97/186.17 | (333) doDivides0(all_0_6_6, xn) = all_66_7_152
% 242.97/186.17 | (334) sdtasdt0(xn, all_0_1_1) = all_66_10_155
% 242.97/186.17 | (335) isPrime0(all_0_6_6) = all_66_11_156
% 242.97/186.17 | (336) aNaturalNumber0(xn) = all_66_14_159
% 242.97/186.17 | (337) doDivides0(all_0_6_6, all_0_1_1) = all_66_6_151
% 242.97/186.17 |
% 242.97/186.17 +-Applying beta-rule and splitting (119), into two cases.
% 242.97/186.17 |-Branch one:
% 242.97/186.17 | (338) all_0_10_10 = 0
% 242.97/186.17 |
% 242.97/186.17 | Equations (338) can reduce 42 to:
% 242.97/186.17 | (339) $false
% 242.97/186.17 |
% 242.97/186.17 |-The branch is then unsatisfiable
% 242.97/186.17 |-Branch two:
% 242.97/186.17 | (42) ~ (all_0_10_10 = 0)
% 242.97/186.17 | (341) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (sdtlseqdt0(xk, xm) = v3 & aNaturalNumber0(xk) = v1 & aNaturalNumber0(xp) = v0 & aNaturalNumber0(xm) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 242.97/186.17 |
% 242.97/186.17 | Instantiating (341) with all_72_0_160, all_72_1_161, all_72_2_162, all_72_3_163 yields:
% 242.97/186.17 | (342) sdtlseqdt0(xk, xm) = all_72_0_160 & aNaturalNumber0(xk) = all_72_2_162 & aNaturalNumber0(xp) = all_72_3_163 & aNaturalNumber0(xm) = all_72_1_161 & ( ~ (all_72_0_160 = 0) | ~ (all_72_1_161 = 0) | ~ (all_72_2_162 = 0) | ~ (all_72_3_163 = 0))
% 242.97/186.17 |
% 242.97/186.17 | Applying alpha-rule on (342) yields:
% 242.97/186.17 | (343) ~ (all_72_0_160 = 0) | ~ (all_72_1_161 = 0) | ~ (all_72_2_162 = 0) | ~ (all_72_3_163 = 0)
% 242.97/186.17 | (344) aNaturalNumber0(xk) = all_72_2_162
% 242.97/186.17 | (345) sdtlseqdt0(xk, xm) = all_72_0_160
% 242.97/186.17 | (346) aNaturalNumber0(xp) = all_72_3_163
% 242.97/186.17 | (347) aNaturalNumber0(xm) = all_72_1_161
% 242.97/186.17 |
% 242.97/186.17 +-Applying beta-rule and splitting (120), into two cases.
% 242.97/186.17 |-Branch one:
% 242.97/186.17 | (348) all_0_11_11 = 0
% 242.97/186.17 |
% 242.97/186.17 | Equations (348) can reduce 47 to:
% 242.97/186.17 | (339) $false
% 242.97/186.17 |
% 242.97/186.17 |-The branch is then unsatisfiable
% 242.97/186.17 |-Branch two:
% 242.97/186.17 | (47) ~ (all_0_11_11 = 0)
% 242.97/186.17 | (351) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (sdtlseqdt0(xk, xn) = v3 & aNaturalNumber0(xk) = v1 & aNaturalNumber0(xp) = v0 & aNaturalNumber0(xn) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 242.97/186.17 |
% 242.97/186.17 | Instantiating (351) with all_77_0_164, all_77_1_165, all_77_2_166, all_77_3_167 yields:
% 242.97/186.17 | (352) sdtlseqdt0(xk, xn) = all_77_0_164 & aNaturalNumber0(xk) = all_77_2_166 & aNaturalNumber0(xp) = all_77_3_167 & aNaturalNumber0(xn) = all_77_1_165 & ( ~ (all_77_0_164 = 0) | ~ (all_77_1_165 = 0) | ~ (all_77_2_166 = 0) | ~ (all_77_3_167 = 0))
% 242.97/186.17 |
% 242.97/186.17 | Applying alpha-rule on (352) yields:
% 242.97/186.17 | (353) aNaturalNumber0(xn) = all_77_1_165
% 242.97/186.17 | (354) sdtlseqdt0(xk, xn) = all_77_0_164
% 242.97/186.17 | (355) ~ (all_77_0_164 = 0) | ~ (all_77_1_165 = 0) | ~ (all_77_2_166 = 0) | ~ (all_77_3_167 = 0)
% 242.97/186.17 | (356) aNaturalNumber0(xp) = all_77_3_167
% 242.97/186.17 | (357) aNaturalNumber0(xk) = all_77_2_166
% 242.97/186.17 |
% 242.97/186.17 +-Applying beta-rule and splitting (114), into two cases.
% 242.97/186.17 |-Branch one:
% 242.97/186.17 | (358) xk = sz00
% 242.97/186.17 |
% 242.97/186.17 | Equations (358) can reduce 48 to:
% 242.97/186.17 | (339) $false
% 242.97/186.17 |
% 242.97/186.17 |-The branch is then unsatisfiable
% 242.97/186.17 |-Branch two:
% 242.97/186.17 | (48) ~ (xk = sz00)
% 242.97/186.17 | (361) ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(xr, xk) = v2 & aNaturalNumber0(xr) = v0 & aNaturalNumber0(xk) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 242.97/186.17 |
% 242.97/186.17 | Instantiating (361) with all_82_0_168, all_82_1_169, all_82_2_170 yields:
% 242.97/186.17 | (362) sdtlseqdt0(xr, xk) = all_82_0_168 & aNaturalNumber0(xr) = all_82_2_170 & aNaturalNumber0(xk) = all_82_1_169 & ( ~ (all_82_1_169 = 0) | ~ (all_82_2_170 = 0) | all_82_0_168 = 0)
% 242.97/186.17 |
% 242.97/186.17 | Applying alpha-rule on (362) yields:
% 242.97/186.17 | (363) sdtlseqdt0(xr, xk) = all_82_0_168
% 242.97/186.17 | (364) aNaturalNumber0(xr) = all_82_2_170
% 242.97/186.17 | (365) aNaturalNumber0(xk) = all_82_1_169
% 242.97/186.17 | (366) ~ (all_82_1_169 = 0) | ~ (all_82_2_170 = 0) | all_82_0_168 = 0
% 242.97/186.17 |
% 242.97/186.17 +-Applying beta-rule and splitting (163), into two cases.
% 242.97/186.17 |-Branch one:
% 242.97/186.17 | (358) xk = sz00
% 242.97/186.17 |
% 242.97/186.17 | Equations (358) can reduce 48 to:
% 242.97/186.17 | (339) $false
% 242.97/186.17 |
% 242.97/186.17 |-The branch is then unsatisfiable
% 242.97/186.17 |-Branch two:
% 242.97/186.17 | (48) ~ (xk = sz00)
% 242.97/186.17 | (370) xk = sz10 | ? [v0] : (isPrime0(v0) = 0 & doDivides0(v0, xk) = 0 & aNaturalNumber0(v0) = 0)
% 242.97/186.17 |
% 242.97/186.17 +-Applying beta-rule and splitting (168), into two cases.
% 242.97/186.17 |-Branch one:
% 242.97/186.17 | (371) xp = sz00
% 242.97/186.17 |
% 242.97/186.17 | Equations (371) can reduce 40 to:
% 242.97/186.17 | (339) $false
% 242.97/186.17 |
% 242.97/186.17 |-The branch is then unsatisfiable
% 242.97/186.17 |-Branch two:
% 242.97/186.17 | (40) ~ (xp = sz00)
% 242.97/186.17 | (374) xp = sz10 | ? [v0] : (isPrime0(v0) = 0 & doDivides0(v0, xp) = 0 & aNaturalNumber0(v0) = 0)
% 242.97/186.17 |
% 242.97/186.17 +-Applying beta-rule and splitting (370), into two cases.
% 242.97/186.17 |-Branch one:
% 242.97/186.17 | (375) xk = sz10
% 242.97/186.17 |
% 242.97/186.17 | Equations (375) can reduce 102 to:
% 242.97/186.17 | (339) $false
% 242.97/186.17 |
% 242.97/186.17 |-The branch is then unsatisfiable
% 242.97/186.17 |-Branch two:
% 242.97/186.17 | (102) ~ (xk = sz10)
% 242.97/186.17 | (378) ? [v0] : (isPrime0(v0) = 0 & doDivides0(v0, xk) = 0 & aNaturalNumber0(v0) = 0)
% 242.97/186.17 |
% 242.97/186.17 | Instantiating (378) with all_102_0_172 yields:
% 242.97/186.17 | (379) isPrime0(all_102_0_172) = 0 & doDivides0(all_102_0_172, xk) = 0 & aNaturalNumber0(all_102_0_172) = 0
% 242.97/186.17 |
% 242.97/186.17 | Applying alpha-rule on (379) yields:
% 242.97/186.17 | (380) isPrime0(all_102_0_172) = 0
% 242.97/186.17 | (381) doDivides0(all_102_0_172, xk) = 0
% 242.97/186.17 | (382) aNaturalNumber0(all_102_0_172) = 0
% 242.97/186.17 |
% 242.97/186.17 +-Applying beta-rule and splitting (374), into two cases.
% 242.97/186.17 |-Branch one:
% 242.97/186.17 | (383) xp = sz10
% 242.97/186.17 |
% 242.97/186.17 | Equations (383) can reduce 32 to:
% 242.97/186.17 | (339) $false
% 242.97/186.17 |
% 242.97/186.17 |-The branch is then unsatisfiable
% 242.97/186.17 |-Branch two:
% 242.97/186.17 | (32) ~ (xp = sz10)
% 242.97/186.17 | (386) ? [v0] : (isPrime0(v0) = 0 & doDivides0(v0, xp) = 0 & aNaturalNumber0(v0) = 0)
% 242.97/186.17 |
% 242.97/186.17 | Instantiating (386) with all_107_0_173 yields:
% 242.97/186.18 | (387) isPrime0(all_107_0_173) = 0 & doDivides0(all_107_0_173, xp) = 0 & aNaturalNumber0(all_107_0_173) = 0
% 242.97/186.18 |
% 242.97/186.18 | Applying alpha-rule on (387) yields:
% 242.97/186.18 | (388) isPrime0(all_107_0_173) = 0
% 242.97/186.18 | (389) doDivides0(all_107_0_173, xp) = 0
% 242.97/186.18 | (390) aNaturalNumber0(all_107_0_173) = 0
% 242.97/186.18 |
% 242.97/186.18 | Using (388) and (39) yields:
% 242.97/186.18 | (391) ~ (all_107_0_173 = sz10)
% 242.97/186.18 |
% 242.97/186.18 | Using (388) and (27) yields:
% 242.97/186.18 | (392) ~ (all_107_0_173 = sz00)
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (93) with xp, all_55_11_124, 0 and discharging atoms isPrime0(xp) = all_55_11_124, isPrime0(xp) = 0, yields:
% 242.97/186.18 | (393) all_55_11_124 = 0
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (112) with xp, all_0_12_12, all_55_9_122, 0 and discharging atoms doDivides0(xp, all_0_12_12) = 0, yields:
% 242.97/186.18 | (394) all_55_9_122 = 0 | ~ (doDivides0(xp, all_0_12_12) = all_55_9_122)
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (7) with xk, xp, all_58_0_131, all_64_0_142 and discharging atoms sdtasdt0(xk, xp) = all_58_0_131, yields:
% 242.97/186.18 | (395) all_64_0_142 = all_58_0_131 | ~ (sdtasdt0(xk, xp) = all_64_0_142)
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (7) with xn, xm, all_55_10_123, all_0_12_12 and discharging atoms sdtasdt0(xn, xm) = all_55_10_123, sdtasdt0(xn, xm) = all_0_12_12, yields:
% 242.97/186.18 | (396) all_55_10_123 = all_0_12_12
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (31) with all_0_0_0, all_64_1_143, 0 and discharging atoms aNaturalNumber0(all_0_0_0) = all_64_1_143, aNaturalNumber0(all_0_0_0) = 0, yields:
% 242.97/186.18 | (397) all_64_1_143 = 0
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (31) with all_0_0_0, all_60_1_135, all_64_1_143 and discharging atoms aNaturalNumber0(all_0_0_0) = all_64_1_143, aNaturalNumber0(all_0_0_0) = all_60_1_135, yields:
% 242.97/186.18 | (398) all_64_1_143 = all_60_1_135
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (31) with all_0_1_1, all_62_3_140, 0 and discharging atoms aNaturalNumber0(all_0_1_1) = all_62_3_140, aNaturalNumber0(all_0_1_1) = 0, yields:
% 242.97/186.18 | (399) all_62_3_140 = 0
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (31) with all_0_1_1, all_62_3_140, all_66_13_158 and discharging atoms aNaturalNumber0(all_0_1_1) = all_66_13_158, aNaturalNumber0(all_0_1_1) = all_62_3_140, yields:
% 242.97/186.18 | (400) all_66_13_158 = all_62_3_140
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (31) with all_0_1_1, all_51_1_105, all_66_13_158 and discharging atoms aNaturalNumber0(all_0_1_1) = all_66_13_158, aNaturalNumber0(all_0_1_1) = all_51_1_105, yields:
% 242.97/186.18 | (401) all_66_13_158 = all_51_1_105
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (31) with all_0_2_2, all_45_13_94, 0 and discharging atoms aNaturalNumber0(all_0_2_2) = all_45_13_94, aNaturalNumber0(all_0_2_2) = 0, yields:
% 242.97/186.18 | (402) all_45_13_94 = 0
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (31) with all_0_2_2, all_14_3_27, all_45_13_94 and discharging atoms aNaturalNumber0(all_0_2_2) = all_45_13_94, aNaturalNumber0(all_0_2_2) = all_14_3_27, yields:
% 242.97/186.18 | (403) all_45_13_94 = all_14_3_27
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (31) with all_0_2_2, all_12_1_22, all_45_13_94 and discharging atoms aNaturalNumber0(all_0_2_2) = all_45_13_94, aNaturalNumber0(all_0_2_2) = all_12_1_22, yields:
% 242.97/186.18 | (404) all_45_13_94 = all_12_1_22
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (31) with all_0_3_3, all_32_1_56, 0 and discharging atoms aNaturalNumber0(all_0_3_3) = all_32_1_56, aNaturalNumber0(all_0_3_3) = 0, yields:
% 242.97/186.18 | (405) all_32_1_56 = 0
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (31) with all_0_6_6, all_62_2_139, all_66_12_157 and discharging atoms aNaturalNumber0(all_0_6_6) = all_66_12_157, aNaturalNumber0(all_0_6_6) = all_62_2_139, yields:
% 242.97/186.18 | (406) all_66_12_157 = all_62_2_139
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (31) with all_0_6_6, all_47_1_97, 0 and discharging atoms aNaturalNumber0(all_0_6_6) = all_47_1_97, aNaturalNumber0(all_0_6_6) = 0, yields:
% 242.97/186.18 | (407) all_47_1_97 = 0
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (31) with all_0_6_6, all_45_12_93, all_62_2_139 and discharging atoms aNaturalNumber0(all_0_6_6) = all_62_2_139, aNaturalNumber0(all_0_6_6) = all_45_12_93, yields:
% 242.97/186.18 | (408) all_62_2_139 = all_45_12_93
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (31) with all_0_6_6, all_16_2_31, all_47_1_97 and discharging atoms aNaturalNumber0(all_0_6_6) = all_47_1_97, aNaturalNumber0(all_0_6_6) = all_16_2_31, yields:
% 242.97/186.18 | (409) all_47_1_97 = all_16_2_31
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (31) with all_0_6_6, all_16_2_31, all_45_12_93 and discharging atoms aNaturalNumber0(all_0_6_6) = all_45_12_93, aNaturalNumber0(all_0_6_6) = all_16_2_31, yields:
% 242.97/186.18 | (410) all_45_12_93 = all_16_2_31
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (31) with all_0_6_6, all_14_2_26, all_66_12_157 and discharging atoms aNaturalNumber0(all_0_6_6) = all_66_12_157, aNaturalNumber0(all_0_6_6) = all_14_2_26, yields:
% 242.97/186.18 | (411) all_66_12_157 = all_14_2_26
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (31) with all_0_12_12, all_24_0_43, all_60_0_134 and discharging atoms aNaturalNumber0(all_0_12_12) = all_60_0_134, aNaturalNumber0(all_0_12_12) = all_24_0_43, yields:
% 242.97/186.18 | (412) all_60_0_134 = all_24_0_43
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (31) with all_0_12_12, all_20_0_37, all_60_0_134 and discharging atoms aNaturalNumber0(all_0_12_12) = all_60_0_134, aNaturalNumber0(all_0_12_12) = all_20_0_37, yields:
% 242.97/186.18 | (413) all_60_0_134 = all_20_0_37
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (31) with all_0_12_12, all_18_0_34, all_24_0_43 and discharging atoms aNaturalNumber0(all_0_12_12) = all_24_0_43, aNaturalNumber0(all_0_12_12) = all_18_0_34, yields:
% 242.97/186.18 | (414) all_24_0_43 = all_18_0_34
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (31) with all_0_14_14, all_36_2_65, all_40_2_71 and discharging atoms aNaturalNumber0(all_0_14_14) = all_40_2_71, aNaturalNumber0(all_0_14_14) = all_36_2_65, yields:
% 242.97/186.18 | (415) all_40_2_71 = all_36_2_65
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (31) with all_0_14_14, all_8_0_15, all_40_2_71 and discharging atoms aNaturalNumber0(all_0_14_14) = all_40_2_71, aNaturalNumber0(all_0_14_14) = all_8_0_15, yields:
% 242.97/186.18 | (416) all_40_2_71 = all_8_0_15
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (31) with xr, all_34_3_61, all_82_2_170 and discharging atoms aNaturalNumber0(xr) = all_82_2_170, aNaturalNumber0(xr) = all_34_3_61, yields:
% 242.97/186.18 | (417) all_82_2_170 = all_34_3_61
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (31) with xr, all_34_4_62, all_82_2_170 and discharging atoms aNaturalNumber0(xr) = all_82_2_170, aNaturalNumber0(xr) = all_34_4_62, yields:
% 242.97/186.18 | (418) all_82_2_170 = all_34_4_62
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (31) with xr, all_32_2_57, all_82_2_170 and discharging atoms aNaturalNumber0(xr) = all_82_2_170, aNaturalNumber0(xr) = all_32_2_57, yields:
% 242.97/186.18 | (419) all_82_2_170 = all_32_2_57
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (31) with xr, all_30_2_54, all_32_2_57 and discharging atoms aNaturalNumber0(xr) = all_32_2_57, aNaturalNumber0(xr) = all_30_2_54, yields:
% 242.97/186.18 | (420) all_32_2_57 = all_30_2_54
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (31) with xr, all_26_2_48, 0 and discharging atoms aNaturalNumber0(xr) = all_26_2_48, aNaturalNumber0(xr) = 0, yields:
% 242.97/186.18 | (421) all_26_2_48 = 0
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (31) with xr, all_26_2_48, all_30_2_54 and discharging atoms aNaturalNumber0(xr) = all_30_2_54, aNaturalNumber0(xr) = all_26_2_48, yields:
% 242.97/186.18 | (422) all_30_2_54 = all_26_2_48
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (31) with xr, all_24_2_45, all_26_2_48 and discharging atoms aNaturalNumber0(xr) = all_26_2_48, aNaturalNumber0(xr) = all_24_2_45, yields:
% 242.97/186.18 | (423) all_26_2_48 = all_24_2_45
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (31) with xr, all_16_4_33, all_82_2_170 and discharging atoms aNaturalNumber0(xr) = all_82_2_170, aNaturalNumber0(xr) = all_16_4_33, yields:
% 242.97/186.18 | (424) all_82_2_170 = all_16_4_33
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (31) with xk, all_72_2_162, 0 and discharging atoms aNaturalNumber0(xk) = all_72_2_162, aNaturalNumber0(xk) = 0, yields:
% 242.97/186.18 | (425) all_72_2_162 = 0
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (31) with xk, all_72_2_162, all_82_1_169 and discharging atoms aNaturalNumber0(xk) = all_82_1_169, aNaturalNumber0(xk) = all_72_2_162, yields:
% 242.97/186.18 | (426) all_82_1_169 = all_72_2_162
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (31) with xk, all_72_2_162, all_77_2_166 and discharging atoms aNaturalNumber0(xk) = all_77_2_166, aNaturalNumber0(xk) = all_72_2_162, yields:
% 242.97/186.18 | (427) all_77_2_166 = all_72_2_162
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (31) with xk, all_58_1_132, all_82_1_169 and discharging atoms aNaturalNumber0(xk) = all_82_1_169, aNaturalNumber0(xk) = all_58_1_132, yields:
% 242.97/186.18 | (428) all_82_1_169 = all_58_1_132
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (31) with xk, all_20_1_38, all_77_2_166 and discharging atoms aNaturalNumber0(xk) = all_77_2_166, aNaturalNumber0(xk) = all_20_1_38, yields:
% 242.97/186.18 | (429) all_77_2_166 = all_20_1_38
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (31) with xp, all_58_2_133, all_77_3_167 and discharging atoms aNaturalNumber0(xp) = all_77_3_167, aNaturalNumber0(xp) = all_58_2_133, yields:
% 242.97/186.18 | (430) all_77_3_167 = all_58_2_133
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (31) with xp, all_58_2_133, all_60_2_136 and discharging atoms aNaturalNumber0(xp) = all_60_2_136, aNaturalNumber0(xp) = all_58_2_133, yields:
% 242.97/186.18 | (431) all_60_2_136 = all_58_2_133
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (31) with xp, all_55_12_125, all_77_3_167 and discharging atoms aNaturalNumber0(xp) = all_77_3_167, aNaturalNumber0(xp) = all_55_12_125, yields:
% 242.97/186.18 | (432) all_77_3_167 = all_55_12_125
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (31) with xp, all_49_2_101, all_77_3_167 and discharging atoms aNaturalNumber0(xp) = all_77_3_167, aNaturalNumber0(xp) = all_49_2_101, yields:
% 242.97/186.18 | (433) all_77_3_167 = all_49_2_101
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (31) with xp, all_49_2_101, all_64_2_144 and discharging atoms aNaturalNumber0(xp) = all_64_2_144, aNaturalNumber0(xp) = all_49_2_101, yields:
% 242.97/186.18 | (434) all_64_2_144 = all_49_2_101
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (31) with xp, all_47_2_98, all_64_2_144 and discharging atoms aNaturalNumber0(xp) = all_64_2_144, aNaturalNumber0(xp) = all_47_2_98, yields:
% 242.97/186.18 | (435) all_64_2_144 = all_47_2_98
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (31) with xp, all_40_1_70, 0 and discharging atoms aNaturalNumber0(xp) = all_40_1_70, aNaturalNumber0(xp) = 0, yields:
% 242.97/186.18 | (436) all_40_1_70 = 0
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (31) with xp, all_40_1_70, all_64_2_144 and discharging atoms aNaturalNumber0(xp) = all_64_2_144, aNaturalNumber0(xp) = all_40_1_70, yields:
% 242.97/186.18 | (437) all_64_2_144 = all_40_1_70
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (31) with xp, all_38_2_68, all_60_2_136 and discharging atoms aNaturalNumber0(xp) = all_60_2_136, aNaturalNumber0(xp) = all_38_2_68, yields:
% 242.97/186.18 | (438) all_60_2_136 = all_38_2_68
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (31) with xp, all_36_1_64, all_72_3_163 and discharging atoms aNaturalNumber0(xp) = all_72_3_163, aNaturalNumber0(xp) = all_36_1_64, yields:
% 242.97/186.18 | (439) all_72_3_163 = all_36_1_64
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (31) with xp, all_36_1_64, all_40_1_70 and discharging atoms aNaturalNumber0(xp) = all_40_1_70, aNaturalNumber0(xp) = all_36_1_64, yields:
% 242.97/186.18 | (440) all_40_1_70 = all_36_1_64
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (31) with xp, all_28_2_51, all_72_3_163 and discharging atoms aNaturalNumber0(xp) = all_72_3_163, aNaturalNumber0(xp) = all_28_2_51, yields:
% 242.97/186.18 | (441) all_72_3_163 = all_28_2_51
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (31) with xp, all_20_2_39, all_72_3_163 and discharging atoms aNaturalNumber0(xp) = all_72_3_163, aNaturalNumber0(xp) = all_20_2_39, yields:
% 242.97/186.18 | (442) all_72_3_163 = all_20_2_39
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (31) with xp, all_16_3_32, all_28_2_51 and discharging atoms aNaturalNumber0(xp) = all_28_2_51, aNaturalNumber0(xp) = all_16_3_32, yields:
% 242.97/186.18 | (443) all_28_2_51 = all_16_3_32
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (31) with xm, all_72_1_161, 0 and discharging atoms aNaturalNumber0(xm) = all_72_1_161, aNaturalNumber0(xm) = 0, yields:
% 242.97/186.18 | (444) all_72_1_161 = 0
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (31) with xm, all_49_3_102, all_55_13_126 and discharging atoms aNaturalNumber0(xm) = all_55_13_126, aNaturalNumber0(xm) = all_49_3_102, yields:
% 242.97/186.18 | (445) all_55_13_126 = all_49_3_102
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (31) with xm, all_45_14_95, all_72_1_161 and discharging atoms aNaturalNumber0(xm) = all_72_1_161, aNaturalNumber0(xm) = all_45_14_95, yields:
% 242.97/186.18 | (446) all_72_1_161 = all_45_14_95
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (31) with xm, all_38_1_67, all_45_14_95 and discharging atoms aNaturalNumber0(xm) = all_45_14_95, aNaturalNumber0(xm) = all_38_1_67, yields:
% 242.97/186.18 | (447) all_45_14_95 = all_38_1_67
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (31) with xm, all_28_1_50, all_49_3_102 and discharging atoms aNaturalNumber0(xm) = all_49_3_102, aNaturalNumber0(xm) = all_28_1_50, yields:
% 242.97/186.18 | (448) all_49_3_102 = all_28_1_50
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (31) with xm, all_22_1_41, all_28_1_50 and discharging atoms aNaturalNumber0(xm) = all_28_1_50, aNaturalNumber0(xm) = all_22_1_41, yields:
% 242.97/186.18 | (449) all_28_1_50 = all_22_1_41
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (31) with xm, all_18_1_35, all_38_1_67 and discharging atoms aNaturalNumber0(xm) = all_38_1_67, aNaturalNumber0(xm) = all_18_1_35, yields:
% 242.97/186.18 | (450) all_38_1_67 = all_18_1_35
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (31) with xm, all_18_1_35, all_22_1_41 and discharging atoms aNaturalNumber0(xm) = all_22_1_41, aNaturalNumber0(xm) = all_18_1_35, yields:
% 242.97/186.18 | (451) all_22_1_41 = all_18_1_35
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (31) with xm, all_14_4_28, all_38_1_67 and discharging atoms aNaturalNumber0(xm) = all_38_1_67, aNaturalNumber0(xm) = all_14_4_28, yields:
% 242.97/186.18 | (452) all_38_1_67 = all_14_4_28
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (31) with xm, all_12_2_23, all_55_13_126 and discharging atoms aNaturalNumber0(xm) = all_55_13_126, aNaturalNumber0(xm) = all_12_2_23, yields:
% 242.97/186.18 | (453) all_55_13_126 = all_12_2_23
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (31) with xm, all_10_1_19, all_18_1_35 and discharging atoms aNaturalNumber0(xm) = all_18_1_35, aNaturalNumber0(xm) = all_10_1_19, yields:
% 242.97/186.18 | (454) all_18_1_35 = all_10_1_19
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (31) with xm, all_8_1_16, all_10_1_19 and discharging atoms aNaturalNumber0(xm) = all_10_1_19, aNaturalNumber0(xm) = all_8_1_16, yields:
% 242.97/186.18 | (455) all_10_1_19 = all_8_1_16
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (31) with xn, all_66_14_159, all_77_1_165 and discharging atoms aNaturalNumber0(xn) = all_77_1_165, aNaturalNumber0(xn) = all_66_14_159, yields:
% 242.97/186.18 | (456) all_77_1_165 = all_66_14_159
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (31) with xn, all_55_14_127, all_66_14_159 and discharging atoms aNaturalNumber0(xn) = all_66_14_159, aNaturalNumber0(xn) = all_55_14_127, yields:
% 242.97/186.18 | (457) all_66_14_159 = all_55_14_127
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (31) with xn, all_55_14_127, all_62_4_141 and discharging atoms aNaturalNumber0(xn) = all_62_4_141, aNaturalNumber0(xn) = all_55_14_127, yields:
% 242.97/186.18 | (458) all_62_4_141 = all_55_14_127
% 242.97/186.18 |
% 242.97/186.18 | Instantiating formula (31) with xn, all_51_2_106, all_77_1_165 and discharging atoms aNaturalNumber0(xn) = all_77_1_165, aNaturalNumber0(xn) = all_51_2_106, yields:
% 242.97/186.19 | (459) all_77_1_165 = all_51_2_106
% 242.97/186.19 |
% 242.97/186.19 | Instantiating formula (31) with xn, all_49_4_103, all_55_14_127 and discharging atoms aNaturalNumber0(xn) = all_55_14_127, aNaturalNumber0(xn) = all_49_4_103, yields:
% 242.97/186.19 | (460) all_55_14_127 = all_49_4_103
% 242.97/186.19 |
% 242.97/186.19 | Instantiating formula (31) with xn, all_22_2_42, 0 and discharging atoms aNaturalNumber0(xn) = all_22_2_42, aNaturalNumber0(xn) = 0, yields:
% 242.97/186.19 | (461) all_22_2_42 = 0
% 242.97/186.19 |
% 242.97/186.19 | Instantiating formula (31) with xn, all_18_2_36, all_49_4_103 and discharging atoms aNaturalNumber0(xn) = all_49_4_103, aNaturalNumber0(xn) = all_18_2_36, yields:
% 242.97/186.19 | (462) all_49_4_103 = all_18_2_36
% 242.97/186.19 |
% 242.97/186.19 | Instantiating formula (31) with xn, all_18_2_36, all_22_2_42 and discharging atoms aNaturalNumber0(xn) = all_22_2_42, aNaturalNumber0(xn) = all_18_2_36, yields:
% 242.97/186.19 | (463) all_22_2_42 = all_18_2_36
% 242.97/186.19 |
% 242.97/186.19 | Instantiating formula (31) with xn, all_10_2_20, all_22_2_42 and discharging atoms aNaturalNumber0(xn) = all_22_2_42, aNaturalNumber0(xn) = all_10_2_20, yields:
% 242.97/186.19 | (464) all_22_2_42 = all_10_2_20
% 242.97/186.19 |
% 242.97/186.19 | Instantiating formula (31) with xn, all_8_2_17, all_62_4_141 and discharging atoms aNaturalNumber0(xn) = all_62_4_141, aNaturalNumber0(xn) = all_8_2_17, yields:
% 242.97/186.19 | (465) all_62_4_141 = all_8_2_17
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (426,428) yields a new equation:
% 242.97/186.19 | (466) all_72_2_162 = all_58_1_132
% 242.97/186.19 |
% 242.97/186.19 | Simplifying 466 yields:
% 242.97/186.19 | (467) all_72_2_162 = all_58_1_132
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (419,417) yields a new equation:
% 242.97/186.19 | (468) all_34_3_61 = all_32_2_57
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (418,417) yields a new equation:
% 242.97/186.19 | (469) all_34_3_61 = all_34_4_62
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (424,417) yields a new equation:
% 242.97/186.19 | (470) all_34_3_61 = all_16_4_33
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (456,459) yields a new equation:
% 242.97/186.19 | (471) all_66_14_159 = all_51_2_106
% 242.97/186.19 |
% 242.97/186.19 | Simplifying 471 yields:
% 242.97/186.19 | (472) all_66_14_159 = all_51_2_106
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (427,429) yields a new equation:
% 242.97/186.19 | (473) all_72_2_162 = all_20_1_38
% 242.97/186.19 |
% 242.97/186.19 | Simplifying 473 yields:
% 242.97/186.19 | (474) all_72_2_162 = all_20_1_38
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (433,432) yields a new equation:
% 242.97/186.19 | (475) all_55_12_125 = all_49_2_101
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (430,432) yields a new equation:
% 242.97/186.19 | (476) all_58_2_133 = all_55_12_125
% 242.97/186.19 |
% 242.97/186.19 | Simplifying 476 yields:
% 242.97/186.19 | (477) all_58_2_133 = all_55_12_125
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (446,444) yields a new equation:
% 242.97/186.19 | (478) all_45_14_95 = 0
% 242.97/186.19 |
% 242.97/186.19 | Simplifying 478 yields:
% 242.97/186.19 | (479) all_45_14_95 = 0
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (474,467) yields a new equation:
% 242.97/186.19 | (480) all_58_1_132 = all_20_1_38
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (425,467) yields a new equation:
% 242.97/186.19 | (481) all_58_1_132 = 0
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (439,442) yields a new equation:
% 242.97/186.19 | (482) all_36_1_64 = all_20_2_39
% 242.97/186.19 |
% 242.97/186.19 | Simplifying 482 yields:
% 242.97/186.19 | (483) all_36_1_64 = all_20_2_39
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (441,442) yields a new equation:
% 242.97/186.19 | (484) all_28_2_51 = all_20_2_39
% 242.97/186.19 |
% 242.97/186.19 | Simplifying 484 yields:
% 242.97/186.19 | (485) all_28_2_51 = all_20_2_39
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (406,411) yields a new equation:
% 242.97/186.19 | (486) all_62_2_139 = all_14_2_26
% 242.97/186.19 |
% 242.97/186.19 | Simplifying 486 yields:
% 242.97/186.19 | (487) all_62_2_139 = all_14_2_26
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (400,401) yields a new equation:
% 242.97/186.19 | (488) all_62_3_140 = all_51_1_105
% 242.97/186.19 |
% 242.97/186.19 | Simplifying 488 yields:
% 242.97/186.19 | (489) all_62_3_140 = all_51_1_105
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (457,472) yields a new equation:
% 242.97/186.19 | (490) all_55_14_127 = all_51_2_106
% 242.97/186.19 |
% 242.97/186.19 | Simplifying 490 yields:
% 242.97/186.19 | (491) all_55_14_127 = all_51_2_106
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (398,397) yields a new equation:
% 242.97/186.19 | (492) all_60_1_135 = 0
% 242.97/186.19 |
% 242.97/186.19 | Simplifying 492 yields:
% 242.97/186.19 | (493) all_60_1_135 = 0
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (437,435) yields a new equation:
% 242.97/186.19 | (494) all_47_2_98 = all_40_1_70
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (434,435) yields a new equation:
% 242.97/186.19 | (495) all_49_2_101 = all_47_2_98
% 242.97/186.19 |
% 242.97/186.19 | Simplifying 495 yields:
% 242.97/186.19 | (496) all_49_2_101 = all_47_2_98
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (408,487) yields a new equation:
% 242.97/186.19 | (497) all_45_12_93 = all_14_2_26
% 242.97/186.19 |
% 242.97/186.19 | Simplifying 497 yields:
% 242.97/186.19 | (498) all_45_12_93 = all_14_2_26
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (399,489) yields a new equation:
% 242.97/186.19 | (499) all_51_1_105 = 0
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (458,465) yields a new equation:
% 242.97/186.19 | (500) all_55_14_127 = all_8_2_17
% 242.97/186.19 |
% 242.97/186.19 | Simplifying 500 yields:
% 242.97/186.19 | (501) all_55_14_127 = all_8_2_17
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (412,413) yields a new equation:
% 242.97/186.19 | (502) all_24_0_43 = all_20_0_37
% 242.97/186.19 |
% 242.97/186.19 | Simplifying 502 yields:
% 242.97/186.19 | (503) all_24_0_43 = all_20_0_37
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (431,438) yields a new equation:
% 242.97/186.19 | (504) all_58_2_133 = all_38_2_68
% 242.97/186.19 |
% 242.97/186.19 | Simplifying 504 yields:
% 242.97/186.19 | (505) all_58_2_133 = all_38_2_68
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (481,480) yields a new equation:
% 242.97/186.19 | (506) all_20_1_38 = 0
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (477,505) yields a new equation:
% 242.97/186.19 | (507) all_55_12_125 = all_38_2_68
% 242.97/186.19 |
% 242.97/186.19 | Simplifying 507 yields:
% 242.97/186.19 | (508) all_55_12_125 = all_38_2_68
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (475,508) yields a new equation:
% 242.97/186.19 | (509) all_49_2_101 = all_38_2_68
% 242.97/186.19 |
% 242.97/186.19 | Simplifying 509 yields:
% 242.97/186.19 | (510) all_49_2_101 = all_38_2_68
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (445,453) yields a new equation:
% 242.97/186.19 | (511) all_49_3_102 = all_12_2_23
% 242.97/186.19 |
% 242.97/186.19 | Simplifying 511 yields:
% 242.97/186.19 | (512) all_49_3_102 = all_12_2_23
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (460,491) yields a new equation:
% 242.97/186.19 | (513) all_51_2_106 = all_49_4_103
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (501,491) yields a new equation:
% 242.97/186.19 | (514) all_51_2_106 = all_8_2_17
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (513,514) yields a new equation:
% 242.97/186.19 | (515) all_49_4_103 = all_8_2_17
% 242.97/186.19 |
% 242.97/186.19 | Simplifying 515 yields:
% 242.97/186.19 | (516) all_49_4_103 = all_8_2_17
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (496,510) yields a new equation:
% 242.97/186.19 | (517) all_47_2_98 = all_38_2_68
% 242.97/186.19 |
% 242.97/186.19 | Simplifying 517 yields:
% 242.97/186.19 | (518) all_47_2_98 = all_38_2_68
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (448,512) yields a new equation:
% 242.97/186.19 | (519) all_28_1_50 = all_12_2_23
% 242.97/186.19 |
% 242.97/186.19 | Simplifying 519 yields:
% 242.97/186.19 | (520) all_28_1_50 = all_12_2_23
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (462,516) yields a new equation:
% 242.97/186.19 | (521) all_18_2_36 = all_8_2_17
% 242.97/186.19 |
% 242.97/186.19 | Simplifying 521 yields:
% 242.97/186.19 | (522) all_18_2_36 = all_8_2_17
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (409,407) yields a new equation:
% 242.97/186.19 | (523) all_16_2_31 = 0
% 242.97/186.19 |
% 242.97/186.19 | Simplifying 523 yields:
% 242.97/186.19 | (524) all_16_2_31 = 0
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (494,518) yields a new equation:
% 242.97/186.19 | (525) all_40_1_70 = all_38_2_68
% 242.97/186.19 |
% 242.97/186.19 | Simplifying 525 yields:
% 242.97/186.19 | (526) all_40_1_70 = all_38_2_68
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (410,498) yields a new equation:
% 242.97/186.19 | (527) all_16_2_31 = all_14_2_26
% 242.97/186.19 |
% 242.97/186.19 | Simplifying 527 yields:
% 242.97/186.19 | (528) all_16_2_31 = all_14_2_26
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (402,403) yields a new equation:
% 242.97/186.19 | (529) all_14_3_27 = 0
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (404,403) yields a new equation:
% 242.97/186.19 | (530) all_14_3_27 = all_12_1_22
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (447,479) yields a new equation:
% 242.97/186.19 | (531) all_38_1_67 = 0
% 242.97/186.19 |
% 242.97/186.19 | Simplifying 531 yields:
% 242.97/186.19 | (532) all_38_1_67 = 0
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (440,526) yields a new equation:
% 242.97/186.19 | (533) all_38_2_68 = all_36_1_64
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (436,526) yields a new equation:
% 242.97/186.19 | (534) all_38_2_68 = 0
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (416,415) yields a new equation:
% 242.97/186.19 | (535) all_36_2_65 = all_8_0_15
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (450,452) yields a new equation:
% 242.97/186.19 | (536) all_18_1_35 = all_14_4_28
% 242.97/186.19 |
% 242.97/186.19 | Simplifying 536 yields:
% 242.97/186.19 | (537) all_18_1_35 = all_14_4_28
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (532,452) yields a new equation:
% 242.97/186.19 | (538) all_14_4_28 = 0
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (533,534) yields a new equation:
% 242.97/186.19 | (539) all_36_1_64 = 0
% 242.97/186.19 |
% 242.97/186.19 | Simplifying 539 yields:
% 242.97/186.19 | (540) all_36_1_64 = 0
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (483,540) yields a new equation:
% 242.97/186.19 | (541) all_20_2_39 = 0
% 242.97/186.19 |
% 242.97/186.19 | Simplifying 541 yields:
% 242.97/186.19 | (542) all_20_2_39 = 0
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (468,469) yields a new equation:
% 242.97/186.19 | (543) all_34_4_62 = all_32_2_57
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (470,469) yields a new equation:
% 242.97/186.19 | (544) all_34_4_62 = all_16_4_33
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (543,544) yields a new equation:
% 242.97/186.19 | (545) all_32_2_57 = all_16_4_33
% 242.97/186.19 |
% 242.97/186.19 | Simplifying 545 yields:
% 242.97/186.19 | (546) all_32_2_57 = all_16_4_33
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (420,546) yields a new equation:
% 242.97/186.19 | (547) all_30_2_54 = all_16_4_33
% 242.97/186.19 |
% 242.97/186.19 | Simplifying 547 yields:
% 242.97/186.19 | (548) all_30_2_54 = all_16_4_33
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (422,548) yields a new equation:
% 242.97/186.19 | (549) all_26_2_48 = all_16_4_33
% 242.97/186.19 |
% 242.97/186.19 | Simplifying 549 yields:
% 242.97/186.19 | (550) all_26_2_48 = all_16_4_33
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (449,520) yields a new equation:
% 242.97/186.19 | (551) all_22_1_41 = all_12_2_23
% 242.97/186.19 |
% 242.97/186.19 | Simplifying 551 yields:
% 242.97/186.19 | (552) all_22_1_41 = all_12_2_23
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (485,443) yields a new equation:
% 242.97/186.19 | (553) all_20_2_39 = all_16_3_32
% 242.97/186.19 |
% 242.97/186.19 | Simplifying 553 yields:
% 242.97/186.19 | (554) all_20_2_39 = all_16_3_32
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (421,423) yields a new equation:
% 242.97/186.19 | (555) all_24_2_45 = 0
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (550,423) yields a new equation:
% 242.97/186.19 | (556) all_24_2_45 = all_16_4_33
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (414,503) yields a new equation:
% 242.97/186.19 | (557) all_20_0_37 = all_18_0_34
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (556,555) yields a new equation:
% 242.97/186.19 | (558) all_16_4_33 = 0
% 242.97/186.19 |
% 242.97/186.19 | Simplifying 558 yields:
% 242.97/186.19 | (559) all_16_4_33 = 0
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (451,552) yields a new equation:
% 242.97/186.19 | (560) all_18_1_35 = all_12_2_23
% 242.97/186.19 |
% 242.97/186.19 | Simplifying 560 yields:
% 242.97/186.19 | (561) all_18_1_35 = all_12_2_23
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (463,464) yields a new equation:
% 242.97/186.19 | (562) all_18_2_36 = all_10_2_20
% 242.97/186.19 |
% 242.97/186.19 | Simplifying 562 yields:
% 242.97/186.19 | (563) all_18_2_36 = all_10_2_20
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (461,464) yields a new equation:
% 242.97/186.19 | (564) all_10_2_20 = 0
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (554,542) yields a new equation:
% 242.97/186.19 | (565) all_16_3_32 = 0
% 242.97/186.19 |
% 242.97/186.19 | Simplifying 565 yields:
% 242.97/186.19 | (566) all_16_3_32 = 0
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (454,561) yields a new equation:
% 242.97/186.19 | (567) all_12_2_23 = all_10_1_19
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (537,561) yields a new equation:
% 242.97/186.19 | (568) all_14_4_28 = all_12_2_23
% 242.97/186.19 |
% 242.97/186.19 | Simplifying 568 yields:
% 242.97/186.19 | (569) all_14_4_28 = all_12_2_23
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (563,522) yields a new equation:
% 242.97/186.19 | (570) all_10_2_20 = all_8_2_17
% 242.97/186.19 |
% 242.97/186.19 | Simplifying 570 yields:
% 242.97/186.19 | (571) all_10_2_20 = all_8_2_17
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (524,528) yields a new equation:
% 242.97/186.19 | (572) all_14_2_26 = 0
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (529,530) yields a new equation:
% 242.97/186.19 | (573) all_12_1_22 = 0
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (569,538) yields a new equation:
% 242.97/186.19 | (574) all_12_2_23 = 0
% 242.97/186.19 |
% 242.97/186.19 | Simplifying 574 yields:
% 242.97/186.19 | (575) all_12_2_23 = 0
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (567,575) yields a new equation:
% 242.97/186.19 | (576) all_10_1_19 = 0
% 242.97/186.19 |
% 242.97/186.19 | Simplifying 576 yields:
% 242.97/186.19 | (577) all_10_1_19 = 0
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (455,577) yields a new equation:
% 242.97/186.19 | (578) all_8_1_16 = 0
% 242.97/186.19 |
% 242.97/186.19 | Simplifying 578 yields:
% 242.97/186.19 | (579) all_8_1_16 = 0
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (564,571) yields a new equation:
% 242.97/186.19 | (580) all_8_2_17 = 0
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (580,571) yields a new equation:
% 242.97/186.19 | (564) all_10_2_20 = 0
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (573,530) yields a new equation:
% 242.97/186.19 | (529) all_14_3_27 = 0
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (564,464) yields a new equation:
% 242.97/186.19 | (461) all_22_2_42 = 0
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (575,552) yields a new equation:
% 242.97/186.19 | (584) all_22_1_41 = 0
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (559,546) yields a new equation:
% 242.97/186.19 | (585) all_32_2_57 = 0
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (538,452) yields a new equation:
% 242.97/186.19 | (532) all_38_1_67 = 0
% 242.97/186.19 |
% 242.97/186.19 | Combining equations (535,415) yields a new equation:
% 242.97/186.19 | (416) all_40_2_71 = all_8_0_15
% 242.97/186.19 |
% 242.97/186.20 | Combining equations (534,526) yields a new equation:
% 242.97/186.20 | (436) all_40_1_70 = 0
% 242.97/186.20 |
% 242.97/186.20 | Combining equations (534,518) yields a new equation:
% 242.97/186.20 | (589) all_47_2_98 = 0
% 242.97/186.20 |
% 242.97/186.20 | Combining equations (580,516) yields a new equation:
% 242.97/186.20 | (590) all_49_4_103 = 0
% 242.97/186.20 |
% 242.97/186.20 | Combining equations (575,512) yields a new equation:
% 242.97/186.20 | (591) all_49_3_102 = 0
% 242.97/186.20 |
% 242.97/186.20 | Combining equations (534,510) yields a new equation:
% 242.97/186.20 | (592) all_49_2_101 = 0
% 242.97/186.20 |
% 242.97/186.20 | Combining equations (580,514) yields a new equation:
% 242.97/186.20 | (593) all_51_2_106 = 0
% 242.97/186.20 |
% 242.97/186.20 | Combining equations (534,508) yields a new equation:
% 242.97/186.20 | (594) all_55_12_125 = 0
% 242.97/186.20 |
% 242.97/186.20 | Combining equations (534,505) yields a new equation:
% 242.97/186.20 | (595) all_58_2_133 = 0
% 242.97/186.20 |
% 242.97/186.20 | Combining equations (506,480) yields a new equation:
% 242.97/186.20 | (481) all_58_1_132 = 0
% 242.97/186.20 |
% 242.97/186.20 | Combining equations (534,438) yields a new equation:
% 242.97/186.20 | (597) all_60_2_136 = 0
% 242.97/186.20 |
% 242.97/186.20 | Combining equations (557,413) yields a new equation:
% 242.97/186.20 | (598) all_60_0_134 = all_18_0_34
% 242.97/186.20 |
% 242.97/186.20 | Combining equations (580,465) yields a new equation:
% 242.97/186.20 | (599) all_62_4_141 = 0
% 242.97/186.20 |
% 242.97/186.20 | Combining equations (499,489) yields a new equation:
% 242.97/186.20 | (399) all_62_3_140 = 0
% 242.97/186.20 |
% 242.97/186.20 | Combining equations (572,487) yields a new equation:
% 242.97/186.20 | (601) all_62_2_139 = 0
% 242.97/186.20 |
% 242.97/186.20 | Combining equations (594,432) yields a new equation:
% 242.97/186.20 | (602) all_77_3_167 = 0
% 242.97/186.20 |
% 242.97/186.20 | Combining equations (506,429) yields a new equation:
% 242.97/186.20 | (603) all_77_2_166 = 0
% 242.97/186.20 |
% 242.97/186.20 | Combining equations (593,459) yields a new equation:
% 242.97/186.20 | (604) all_77_1_165 = 0
% 242.97/186.20 |
% 242.97/186.20 | From (393) and (302) follows:
% 242.97/186.20 | (50) isPrime0(xp) = 0
% 242.97/186.20 |
% 242.97/186.20 | From (396) and (296) follows:
% 242.97/186.20 | (606) doDivides0(xp, all_0_12_12) = all_55_9_122
% 242.97/186.20 |
% 242.97/186.20 | From (396) and (303) follows:
% 242.97/186.20 | (4) sdtasdt0(xn, xm) = all_0_12_12
% 242.97/186.20 |
% 242.97/186.20 | From (493) and (311) follows:
% 242.97/186.20 | (81) aNaturalNumber0(all_0_0_0) = 0
% 242.97/186.20 |
% 242.97/186.20 | From (573) and (182) follows:
% 242.97/186.20 | (87) aNaturalNumber0(all_0_2_2) = 0
% 242.97/186.20 |
% 242.97/186.20 | From (572) and (190) follows:
% 242.97/186.20 | (11) aNaturalNumber0(all_0_6_6) = 0
% 242.97/186.20 |
% 242.97/186.20 | From (557) and (205) follows:
% 242.97/186.20 | (200) aNaturalNumber0(all_0_12_12) = all_18_0_34
% 242.97/186.20 |
% 242.97/186.20 | From (559) and (196) follows:
% 242.97/186.20 | (2) aNaturalNumber0(xr) = 0
% 242.97/186.20 |
% 242.97/186.20 | From (506) and (206) follows:
% 242.97/186.20 | (36) aNaturalNumber0(xk) = 0
% 242.97/186.20 |
% 242.97/186.20 | From (566) and (193) follows:
% 242.97/186.20 | (106) aNaturalNumber0(xp) = 0
% 242.97/186.20 |
% 242.97/186.20 | From (579) and (172) follows:
% 242.97/186.20 | (29) aNaturalNumber0(xm) = 0
% 242.97/186.20 |
% 242.97/186.20 | From (580) and (173) follows:
% 242.97/186.20 | (54) aNaturalNumber0(xn) = 0
% 242.97/186.20 |
% 242.97/186.20 +-Applying beta-rule and splitting (314), into two cases.
% 242.97/186.20 |-Branch one:
% 242.97/186.20 | (617) ~ (all_60_1_135 = 0)
% 242.97/186.20 |
% 242.97/186.20 | Equations (493) can reduce 617 to:
% 242.97/186.20 | (339) $false
% 242.97/186.20 |
% 242.97/186.20 |-The branch is then unsatisfiable
% 242.97/186.20 |-Branch two:
% 242.97/186.20 | (493) all_60_1_135 = 0
% 242.97/186.20 | (620) ~ (all_60_2_136 = 0) | all_60_0_134 = 0
% 242.97/186.20 |
% 242.97/186.20 +-Applying beta-rule and splitting (620), into two cases.
% 242.97/186.20 |-Branch one:
% 242.97/186.20 | (621) ~ (all_60_2_136 = 0)
% 242.97/186.20 |
% 242.97/186.20 | Equations (597) can reduce 621 to:
% 242.97/186.20 | (339) $false
% 242.97/186.20 |
% 242.97/186.20 |-The branch is then unsatisfiable
% 242.97/186.20 |-Branch two:
% 242.97/186.20 | (597) all_60_2_136 = 0
% 242.97/186.20 | (624) all_60_0_134 = 0
% 242.97/186.20 |
% 242.97/186.20 | Combining equations (624,598) yields a new equation:
% 242.97/186.20 | (625) all_18_0_34 = 0
% 242.97/186.20 |
% 242.97/186.20 | From (625) and (200) follows:
% 242.97/186.20 | (626) aNaturalNumber0(all_0_12_12) = 0
% 242.97/186.20 |
% 242.97/186.20 +-Applying beta-rule and splitting (179), into two cases.
% 242.97/186.20 |-Branch one:
% 242.97/186.20 | (627) ~ (all_10_1_19 = 0)
% 242.97/186.20 |
% 242.97/186.20 | Equations (577) can reduce 627 to:
% 242.97/186.20 | (339) $false
% 242.97/186.20 |
% 242.97/186.20 |-The branch is then unsatisfiable
% 242.97/186.20 |-Branch two:
% 242.97/186.20 | (577) all_10_1_19 = 0
% 242.97/186.20 | (630) ~ (all_10_2_20 = 0) | all_10_0_18 = all_0_14_14
% 242.97/186.20 |
% 242.97/186.20 +-Applying beta-rule and splitting (184), into two cases.
% 242.97/186.20 |-Branch one:
% 242.97/186.20 | (631) ~ (all_12_1_22 = 0)
% 242.97/186.20 |
% 242.97/186.20 | Equations (573) can reduce 631 to:
% 242.97/186.20 | (339) $false
% 242.97/186.20 |
% 242.97/186.20 |-The branch is then unsatisfiable
% 242.97/186.20 |-Branch two:
% 242.97/186.20 | (573) all_12_1_22 = 0
% 242.97/186.20 | (634) ~ (all_12_2_23 = 0) | all_12_0_21 = xp
% 242.97/186.20 |
% 242.97/186.20 +-Applying beta-rule and splitting (634), into two cases.
% 242.97/186.20 |-Branch one:
% 242.97/186.20 | (635) ~ (all_12_2_23 = 0)
% 242.97/186.20 |
% 242.97/186.20 | Equations (575) can reduce 635 to:
% 242.97/186.20 | (339) $false
% 242.97/186.20 |
% 242.97/186.20 |-The branch is then unsatisfiable
% 242.97/186.20 |-Branch two:
% 242.97/186.20 | (575) all_12_2_23 = 0
% 242.97/186.20 | (638) all_12_0_21 = xp
% 242.97/186.20 |
% 242.97/186.20 | From (638) and (181) follows:
% 242.97/186.20 | (639) sdtpldt0(all_0_2_2, xm) = xp
% 242.97/186.20 |
% 242.97/186.20 +-Applying beta-rule and splitting (630), into two cases.
% 242.97/186.20 |-Branch one:
% 242.97/186.20 | (640) ~ (all_10_2_20 = 0)
% 242.97/186.20 |
% 242.97/186.20 | Equations (564) can reduce 640 to:
% 242.97/186.20 | (339) $false
% 242.97/186.20 |
% 242.97/186.20 |-The branch is then unsatisfiable
% 242.97/186.20 |-Branch two:
% 242.97/186.20 | (564) all_10_2_20 = 0
% 242.97/186.20 | (643) all_10_0_18 = all_0_14_14
% 242.97/186.20 |
% 242.97/186.20 | From (643) and (176) follows:
% 242.97/186.20 | (644) sdtpldt0(xm, xn) = all_0_14_14
% 242.97/186.20 |
% 242.97/186.20 +-Applying beta-rule and splitting (355), into two cases.
% 242.97/186.20 |-Branch one:
% 242.97/186.20 | (645) ~ (all_77_0_164 = 0)
% 242.97/186.20 |
% 242.97/186.20 +-Applying beta-rule and splitting (285), into two cases.
% 242.97/186.20 |-Branch one:
% 242.97/186.20 | (646) ~ (all_49_2_101 = 0)
% 242.97/186.20 |
% 242.97/186.20 | Equations (592) can reduce 646 to:
% 242.97/186.20 | (339) $false
% 242.97/186.20 |
% 242.97/186.20 |-The branch is then unsatisfiable
% 242.97/186.20 |-Branch two:
% 242.97/186.20 | (592) all_49_2_101 = 0
% 242.97/186.20 | (649) ~ (all_49_3_102 = 0) | ~ (all_49_4_103 = 0) | all_49_0_99 = all_0_13_13
% 242.97/186.20 |
% 242.97/186.20 +-Applying beta-rule and splitting (649), into two cases.
% 242.97/186.20 |-Branch one:
% 242.97/186.20 | (650) ~ (all_49_3_102 = 0)
% 242.97/186.20 |
% 242.97/186.20 | Equations (591) can reduce 650 to:
% 242.97/186.20 | (339) $false
% 242.97/186.20 |
% 242.97/186.20 |-The branch is then unsatisfiable
% 242.97/186.20 |-Branch two:
% 242.97/186.20 | (591) all_49_3_102 = 0
% 242.97/186.20 | (653) ~ (all_49_4_103 = 0) | all_49_0_99 = all_0_13_13
% 242.97/186.20 |
% 242.97/186.20 +-Applying beta-rule and splitting (653), into two cases.
% 242.97/186.20 |-Branch one:
% 242.97/186.20 | (654) ~ (all_49_4_103 = 0)
% 242.97/186.20 |
% 242.97/186.20 | Equations (590) can reduce 654 to:
% 242.97/186.20 | (339) $false
% 242.97/186.20 |
% 242.97/186.20 |-The branch is then unsatisfiable
% 242.97/186.20 |-Branch two:
% 242.97/186.20 | (590) all_49_4_103 = 0
% 242.97/186.20 | (657) all_49_0_99 = all_0_13_13
% 242.97/186.20 |
% 242.97/186.20 | From (657) and (284) follows:
% 242.97/186.20 | (658) sdtpldt0(xn, all_49_1_100) = all_0_13_13
% 242.97/186.20 |
% 242.97/186.20 +-Applying beta-rule and splitting (292), into two cases.
% 242.97/186.20 |-Branch one:
% 242.97/186.20 | (659) all_53_0_107 = xk & all_53_1_108 = 0 & sdtasdt0(xr, all_53_2_109) = xk & aNaturalNumber0(all_53_2_109) = 0
% 242.97/186.20 |
% 242.97/186.20 | Applying alpha-rule on (659) yields:
% 242.97/186.20 | (660) all_53_0_107 = xk
% 242.97/186.20 | (661) all_53_1_108 = 0
% 242.97/186.20 | (662) sdtasdt0(xr, all_53_2_109) = xk
% 242.97/186.20 | (663) aNaturalNumber0(all_53_2_109) = 0
% 242.97/186.20 |
% 242.97/186.20 +-Applying beta-rule and splitting (318), into two cases.
% 242.97/186.20 |-Branch one:
% 242.97/186.20 | (664) ~ (all_62_2_139 = 0)
% 242.97/186.20 |
% 242.97/186.20 | Equations (601) can reduce 664 to:
% 242.97/186.20 | (339) $false
% 242.97/186.20 |
% 242.97/186.20 |-The branch is then unsatisfiable
% 242.97/186.20 |-Branch two:
% 242.97/186.20 | (601) all_62_2_139 = 0
% 242.97/186.20 | (667) ~ (all_62_3_140 = 0) | ~ (all_62_4_141 = 0) | all_62_0_137 = xk
% 242.97/186.20 |
% 242.97/186.20 +-Applying beta-rule and splitting (309), into two cases.
% 242.97/186.20 |-Branch one:
% 242.97/186.20 | (668) ~ (all_58_1_132 = 0)
% 242.97/186.20 |
% 242.97/186.20 | Equations (481) can reduce 668 to:
% 242.97/186.20 | (339) $false
% 242.97/186.20 |
% 242.97/186.20 |-The branch is then unsatisfiable
% 242.97/186.20 |-Branch two:
% 242.97/186.20 | (481) all_58_1_132 = 0
% 242.97/186.20 | (671) ~ (all_58_2_133 = 0) | all_58_0_131 = all_0_12_12
% 242.97/186.20 |
% 242.97/186.20 +-Applying beta-rule and splitting (671), into two cases.
% 242.97/186.20 |-Branch one:
% 242.97/186.20 | (672) ~ (all_58_2_133 = 0)
% 242.97/186.20 |
% 242.97/186.20 | Equations (595) can reduce 672 to:
% 242.97/186.20 | (339) $false
% 242.97/186.20 |
% 242.97/186.20 |-The branch is then unsatisfiable
% 242.97/186.20 |-Branch two:
% 242.97/186.20 | (595) all_58_2_133 = 0
% 242.97/186.20 | (675) all_58_0_131 = all_0_12_12
% 242.97/186.20 |
% 242.97/186.20 +-Applying beta-rule and splitting (279), into two cases.
% 242.97/186.20 |-Branch one:
% 242.97/186.20 | (676) ~ (all_47_1_97 = 0)
% 242.97/186.20 |
% 242.97/186.20 | Equations (407) can reduce 676 to:
% 242.97/186.20 | (339) $false
% 242.97/186.20 |
% 242.97/186.20 |-The branch is then unsatisfiable
% 242.97/186.20 |-Branch two:
% 242.97/186.20 | (407) all_47_1_97 = 0
% 242.97/186.20 | (679) ~ (all_47_2_98 = 0) | all_47_0_96 = xk
% 242.97/186.20 |
% 242.97/186.20 +-Applying beta-rule and splitting (291), into two cases.
% 242.97/186.20 |-Branch one:
% 242.97/186.20 | (680) ~ (all_51_1_105 = 0)
% 242.97/186.20 |
% 242.97/186.20 | Equations (499) can reduce 680 to:
% 242.97/186.20 | (339) $false
% 242.97/186.20 |
% 242.97/186.20 |-The branch is then unsatisfiable
% 242.97/186.20 |-Branch two:
% 242.97/186.20 | (499) all_51_1_105 = 0
% 242.97/186.20 | (683) ~ (all_51_2_106 = 0) | all_51_0_104 = xp
% 242.97/186.20 |
% 242.97/186.20 +-Applying beta-rule and splitting (679), into two cases.
% 242.97/186.20 |-Branch one:
% 242.97/186.20 | (684) ~ (all_47_2_98 = 0)
% 242.97/186.20 |
% 242.97/186.20 | Equations (589) can reduce 684 to:
% 242.97/186.20 | (339) $false
% 242.97/186.20 |
% 242.97/186.20 |-The branch is then unsatisfiable
% 242.97/186.20 |-Branch two:
% 242.97/186.20 | (589) all_47_2_98 = 0
% 242.97/186.20 | (687) all_47_0_96 = xk
% 242.97/186.20 |
% 242.97/186.20 | From (687) and (276) follows:
% 242.97/186.20 | (688) sdtpldt0(all_0_6_6, xp) = xk
% 242.97/186.20 |
% 242.97/186.20 +-Applying beta-rule and splitting (683), into two cases.
% 242.97/186.20 |-Branch one:
% 242.97/186.20 | (689) ~ (all_51_2_106 = 0)
% 242.97/186.20 |
% 242.97/186.20 | Equations (593) can reduce 689 to:
% 242.97/186.20 | (339) $false
% 242.97/186.20 |
% 242.97/186.20 |-The branch is then unsatisfiable
% 242.97/186.20 |-Branch two:
% 242.97/186.20 | (593) all_51_2_106 = 0
% 242.97/186.20 | (692) all_51_0_104 = xp
% 242.97/186.20 |
% 242.97/186.20 | From (692) and (288) follows:
% 242.97/186.20 | (693) sdtpldt0(all_0_1_1, xn) = xp
% 242.97/186.20 |
% 242.97/186.20 +-Applying beta-rule and splitting (667), into two cases.
% 242.97/186.20 |-Branch one:
% 242.97/186.20 | (694) ~ (all_62_3_140 = 0)
% 242.97/186.20 |
% 242.97/186.20 | Equations (399) can reduce 694 to:
% 242.97/186.20 | (339) $false
% 242.97/186.20 |
% 242.97/186.20 |-The branch is then unsatisfiable
% 242.97/186.20 |-Branch two:
% 242.97/186.20 | (399) all_62_3_140 = 0
% 242.97/186.20 | (697) ~ (all_62_4_141 = 0) | all_62_0_137 = xk
% 242.97/186.20 |
% 242.97/186.20 +-Applying beta-rule and splitting (146), into two cases.
% 242.97/186.20 |-Branch one:
% 242.97/186.20 | (698) ~ (sdtpldt0(xp, all_0_6_6) = xm)
% 242.97/186.20 |
% 242.97/186.20 +-Applying beta-rule and splitting (255), into two cases.
% 242.97/186.20 |-Branch one:
% 242.97/186.20 | (699) ~ (all_38_1_67 = 0)
% 242.97/186.20 |
% 242.97/186.20 | Equations (532) can reduce 699 to:
% 242.97/186.20 | (339) $false
% 242.97/186.20 |
% 242.97/186.20 |-The branch is then unsatisfiable
% 242.97/186.20 |-Branch two:
% 242.97/186.20 | (532) all_38_1_67 = 0
% 242.97/186.20 | (702) ~ (all_38_2_68 = 0) | all_38_0_66 = all_0_9_9
% 242.97/186.20 |
% 242.97/186.20 +-Applying beta-rule and splitting (213), into two cases.
% 242.97/186.20 |-Branch one:
% 242.97/186.20 | (703) ~ (all_22_1_41 = 0)
% 242.97/186.20 |
% 242.97/186.20 | Equations (584) can reduce 703 to:
% 242.97/186.20 | (339) $false
% 242.97/186.20 |
% 242.97/186.20 |-The branch is then unsatisfiable
% 242.97/186.20 |-Branch two:
% 242.97/186.20 | (584) all_22_1_41 = 0
% 242.97/186.20 | (706) ~ (all_22_2_42 = 0) | all_22_0_40 = all_0_12_12
% 242.97/186.20 |
% 242.97/186.20 +-Applying beta-rule and splitting (702), into two cases.
% 242.97/186.20 |-Branch one:
% 242.97/186.20 | (707) ~ (all_38_2_68 = 0)
% 242.97/186.20 |
% 242.97/186.20 | Equations (534) can reduce 707 to:
% 242.97/186.20 | (339) $false
% 242.97/186.20 |
% 242.97/186.20 |-The branch is then unsatisfiable
% 242.97/186.20 |-Branch two:
% 242.97/186.20 | (534) all_38_2_68 = 0
% 242.97/186.20 | (710) all_38_0_66 = all_0_9_9
% 242.97/186.20 |
% 242.97/186.20 | From (710) and (252) follows:
% 242.97/186.20 | (711) sdtasdt0(xm, xp) = all_0_9_9
% 242.97/186.20 |
% 242.97/186.20 +-Applying beta-rule and splitting (697), into two cases.
% 242.97/186.20 |-Branch one:
% 242.97/186.20 | (712) ~ (all_62_4_141 = 0)
% 242.97/186.20 |
% 242.97/186.20 | Equations (599) can reduce 712 to:
% 242.97/186.20 | (339) $false
% 242.97/186.20 |
% 242.97/186.20 |-The branch is then unsatisfiable
% 242.97/186.20 |-Branch two:
% 242.97/186.20 | (599) all_62_4_141 = 0
% 242.97/186.20 | (715) all_62_0_137 = xk
% 242.97/186.20 |
% 242.97/186.20 | From (715) and (319) follows:
% 242.97/186.20 | (716) sdtpldt0(xn, all_62_1_138) = xk
% 242.97/186.20 |
% 242.97/186.20 +-Applying beta-rule and splitting (304), into two cases.
% 242.97/186.20 |-Branch one:
% 242.97/186.20 | (717) all_57_0_128 = xp & all_57_1_129 = 0 & sdtpldt0(xm, all_57_2_130) = xp & aNaturalNumber0(all_57_2_130) = 0
% 242.97/186.20 |
% 242.97/186.20 | Applying alpha-rule on (717) yields:
% 242.97/186.20 | (718) all_57_0_128 = xp
% 242.97/186.20 | (719) all_57_1_129 = 0
% 242.97/186.20 | (720) sdtpldt0(xm, all_57_2_130) = xp
% 242.97/186.20 | (721) aNaturalNumber0(all_57_2_130) = 0
% 242.97/186.20 |
% 242.97/186.20 +-Applying beta-rule and splitting (706), into two cases.
% 242.97/186.20 |-Branch one:
% 242.97/186.20 | (722) ~ (all_22_2_42 = 0)
% 242.97/186.20 |
% 242.97/186.20 | Equations (461) can reduce 722 to:
% 242.97/186.20 | (339) $false
% 242.97/186.20 |
% 242.97/186.20 |-The branch is then unsatisfiable
% 242.97/186.20 |-Branch two:
% 242.97/186.20 | (461) all_22_2_42 = 0
% 242.97/186.20 | (725) all_22_0_40 = all_0_12_12
% 242.97/186.20 |
% 242.97/186.20 | From (725) and (210) follows:
% 242.97/186.20 | (726) sdtasdt0(xm, xn) = all_0_12_12
% 242.97/186.20 |
% 242.97/186.20 +-Applying beta-rule and splitting (394), into two cases.
% 242.97/186.20 |-Branch one:
% 242.97/186.20 | (727) ~ (doDivides0(xp, all_0_12_12) = all_55_9_122)
% 242.97/186.20 |
% 242.97/186.20 | Using (606) and (727) yields:
% 242.97/186.20 | (728) $false
% 242.97/186.20 |
% 242.97/186.20 |-The branch is then unsatisfiable
% 242.97/186.20 |-Branch two:
% 242.97/186.20 | (606) doDivides0(xp, all_0_12_12) = all_55_9_122
% 242.97/186.20 | (730) all_55_9_122 = 0
% 242.97/186.20 |
% 242.97/186.20 | From (730) and (606) follows:
% 242.97/186.20 | (86) doDivides0(xp, all_0_12_12) = 0
% 242.97/186.20 |
% 242.97/186.20 +-Applying beta-rule and splitting (238), into two cases.
% 242.97/186.20 |-Branch one:
% 242.97/186.20 | (732) ~ (all_32_1_56 = 0)
% 242.97/186.20 |
% 242.97/186.20 | Equations (405) can reduce 732 to:
% 242.97/186.20 | (339) $false
% 242.97/186.20 |
% 242.97/186.20 |-The branch is then unsatisfiable
% 242.97/186.20 |-Branch two:
% 242.97/186.20 | (405) all_32_1_56 = 0
% 242.97/186.20 | (735) ~ (all_32_2_57 = 0) | all_32_0_55 = xk
% 242.97/186.20 |
% 242.97/186.20 +-Applying beta-rule and splitting (130), into two cases.
% 242.97/186.20 |-Branch one:
% 242.97/186.20 | (736) ~ (sdtasdt0(xp, xk) = xm)
% 242.97/186.20 |
% 242.97/186.20 +-Applying beta-rule and splitting (164), into two cases.
% 242.97/186.20 |-Branch one:
% 242.97/186.20 | (371) xp = sz00
% 242.97/186.20 |
% 242.97/186.20 | Equations (371) can reduce 40 to:
% 242.97/186.20 | (339) $false
% 242.97/186.20 |
% 242.97/186.20 |-The branch is then unsatisfiable
% 242.97/186.20 |-Branch two:
% 242.97/186.20 | (40) ~ (xp = sz00)
% 242.97/186.20 | (740) all_0_0_0 = xk | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (sdtasdt0(all_0_0_0, xp) = v3 & sdtasdt0(xk, xp) = v2 & aNaturalNumber0(all_0_0_0) = v1 & aNaturalNumber0(xk) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 242.97/186.20 |
% 242.97/186.20 +-Applying beta-rule and splitting (740), into two cases.
% 242.97/186.20 |-Branch one:
% 242.97/186.20 | (741) all_0_0_0 = xk
% 242.97/186.20 |
% 242.97/186.20 | From (741) and (323) follows:
% 242.97/186.20 | (742) sdtasdt0(xk, xp) = all_64_0_142
% 242.97/186.20 |
% 242.97/186.20 | From (741) and (97) follows:
% 242.97/186.20 | (105) sdtasdt0(xp, xk) = all_0_12_12
% 242.97/186.20 |
% 242.97/186.20 | From (741) and (81) follows:
% 242.97/186.20 | (36) aNaturalNumber0(xk) = 0
% 242.97/186.20 |
% 242.97/186.20 +-Applying beta-rule and splitting (261), into two cases.
% 242.97/186.20 |-Branch one:
% 242.97/186.20 | (745) all_42_0_72 = xp & all_42_1_73 = 0 & sdtpldt0(xn, all_42_2_74) = xp & aNaturalNumber0(all_42_2_74) = 0
% 243.36/186.20 |
% 243.36/186.20 | Applying alpha-rule on (745) yields:
% 243.36/186.20 | (746) all_42_0_72 = xp
% 243.36/186.20 | (747) all_42_1_73 = 0
% 243.36/186.20 | (748) sdtpldt0(xn, all_42_2_74) = xp
% 243.36/186.20 | (749) aNaturalNumber0(all_42_2_74) = 0
% 243.36/186.20 |
% 243.36/186.20 +-Applying beta-rule and splitting (395), into two cases.
% 243.36/186.20 |-Branch one:
% 243.36/186.20 | (750) ~ (sdtasdt0(xk, xp) = all_64_0_142)
% 243.36/186.20 |
% 243.36/186.20 | Using (742) and (750) yields:
% 243.36/186.20 | (728) $false
% 243.36/186.20 |
% 243.36/186.20 |-The branch is then unsatisfiable
% 243.36/186.20 |-Branch two:
% 243.36/186.20 | (742) sdtasdt0(xk, xp) = all_64_0_142
% 243.36/186.20 | (753) all_64_0_142 = all_58_0_131
% 243.36/186.20 |
% 243.36/186.20 | Combining equations (675,753) yields a new equation:
% 243.36/186.20 | (754) all_64_0_142 = all_0_12_12
% 243.36/186.20 |
% 243.36/186.20 | From (754) and (742) follows:
% 243.36/186.21 | (755) sdtasdt0(xk, xp) = all_0_12_12
% 243.36/186.21 |
% 243.36/186.21 +-Applying beta-rule and splitting (735), into two cases.
% 243.36/186.21 |-Branch one:
% 243.36/186.21 | (756) ~ (all_32_2_57 = 0)
% 243.36/186.21 |
% 243.36/186.21 | Equations (585) can reduce 756 to:
% 243.36/186.21 | (339) $false
% 243.36/186.21 |
% 243.36/186.21 |-The branch is then unsatisfiable
% 243.36/186.21 |-Branch two:
% 243.36/186.21 | (585) all_32_2_57 = 0
% 243.36/186.21 | (759) all_32_0_55 = xk
% 243.36/186.21 |
% 243.36/186.21 | From (759) and (235) follows:
% 243.36/186.21 | (760) sdtasdt0(all_0_3_3, xr) = xk
% 243.36/186.21 |
% 243.36/186.21 +-Applying beta-rule and splitting (131), into two cases.
% 243.36/186.21 |-Branch one:
% 243.36/186.21 | (761) ~ (sdtasdt0(xp, xk) = sz00)
% 243.36/186.21 |
% 243.36/186.21 +-Applying beta-rule and splitting (174), into two cases.
% 243.36/186.21 |-Branch one:
% 243.36/186.21 | (762) ~ (all_8_1_16 = 0)
% 243.36/186.21 |
% 243.36/186.21 | Equations (579) can reduce 762 to:
% 243.36/186.21 | (339) $false
% 243.36/186.21 |
% 243.36/186.21 |-The branch is then unsatisfiable
% 243.36/186.21 |-Branch two:
% 243.36/186.21 | (579) all_8_1_16 = 0
% 243.36/186.21 | (765) ~ (all_8_2_17 = 0) | all_8_0_15 = 0
% 243.36/186.21 |
% 243.36/186.21 +-Applying beta-rule and splitting (162), into two cases.
% 243.36/186.21 |-Branch one:
% 243.36/186.21 | (766) all_0_0_0 = sz00
% 243.36/186.21 |
% 243.36/186.21 | Combining equations (741,766) yields a new equation:
% 243.36/186.21 | (767) xk = sz00
% 243.36/186.21 |
% 243.36/186.21 | Simplifying 767 yields:
% 243.36/186.21 | (358) xk = sz00
% 243.36/186.21 |
% 243.36/186.21 | Equations (358) can reduce 48 to:
% 243.36/186.21 | (339) $false
% 243.36/186.21 |
% 243.36/186.21 |-The branch is then unsatisfiable
% 243.36/186.21 |-Branch two:
% 243.36/186.21 | (770) ~ (all_0_0_0 = sz00)
% 243.36/186.21 | (771) all_0_0_0 = sz10 | ? [v0] : (isPrime0(v0) = 0 & doDivides0(v0, all_0_0_0) = 0 & aNaturalNumber0(v0) = 0)
% 243.36/186.21 |
% 243.36/186.21 | Equations (741) can reduce 770 to:
% 243.36/186.21 | (48) ~ (xk = sz00)
% 243.36/186.21 |
% 243.36/186.21 +-Applying beta-rule and splitting (765), into two cases.
% 243.36/186.21 |-Branch one:
% 243.36/186.21 | (773) ~ (all_8_2_17 = 0)
% 243.36/186.21 |
% 243.36/186.21 | Equations (580) can reduce 773 to:
% 243.36/186.21 | (339) $false
% 243.36/186.21 |
% 243.36/186.21 |-The branch is then unsatisfiable
% 243.36/186.21 |-Branch two:
% 243.36/186.21 | (580) all_8_2_17 = 0
% 243.36/186.21 | (776) all_8_0_15 = 0
% 243.36/186.21 |
% 243.36/186.21 | Combining equations (776,416) yields a new equation:
% 243.36/186.21 | (777) all_40_2_71 = 0
% 243.36/186.21 |
% 243.36/186.21 +-Applying beta-rule and splitting (260), into two cases.
% 243.36/186.21 |-Branch one:
% 243.36/186.21 | (778) ~ (all_40_1_70 = 0)
% 243.36/186.21 |
% 243.36/186.21 | Equations (436) can reduce 778 to:
% 243.36/186.21 | (339) $false
% 243.36/186.21 |
% 243.36/186.21 |-The branch is then unsatisfiable
% 243.36/186.21 |-Branch two:
% 243.36/186.21 | (436) all_40_1_70 = 0
% 243.36/186.21 | (781) ~ (all_40_2_71 = 0) | all_40_0_69 = all_0_13_13
% 243.36/186.21 |
% 243.36/186.21 +-Applying beta-rule and splitting (781), into two cases.
% 243.36/186.21 |-Branch one:
% 243.36/186.21 | (782) ~ (all_40_2_71 = 0)
% 243.36/186.21 |
% 243.36/186.21 | Equations (777) can reduce 782 to:
% 243.36/186.21 | (339) $false
% 243.36/186.21 |
% 243.36/186.21 |-The branch is then unsatisfiable
% 243.36/186.21 |-Branch two:
% 243.36/186.21 | (777) all_40_2_71 = 0
% 243.36/186.21 | (785) all_40_0_69 = all_0_13_13
% 243.36/186.21 |
% 243.36/186.21 | From (785) and (257) follows:
% 243.36/186.21 | (786) sdtpldt0(xp, all_0_14_14) = all_0_13_13
% 243.36/186.21 |
% 243.36/186.21 +-Applying beta-rule and splitting (771), into two cases.
% 243.36/186.21 |-Branch one:
% 243.36/186.21 | (787) all_0_0_0 = sz10
% 243.36/186.21 |
% 243.36/186.21 | Combining equations (787,741) yields a new equation:
% 243.36/186.21 | (375) xk = sz10
% 243.36/186.21 |
% 243.36/186.21 | Equations (375) can reduce 102 to:
% 243.36/186.21 | (339) $false
% 243.36/186.21 |
% 243.36/186.21 |-The branch is then unsatisfiable
% 243.36/186.21 |-Branch two:
% 243.36/186.21 | (790) ~ (all_0_0_0 = sz10)
% 243.36/186.21 | (791) ? [v0] : (isPrime0(v0) = 0 & doDivides0(v0, all_0_0_0) = 0 & aNaturalNumber0(v0) = 0)
% 243.36/186.21 |
% 243.36/186.21 | Instantiating (791) with all_307_0_174 yields:
% 243.36/186.21 | (792) isPrime0(all_307_0_174) = 0 & doDivides0(all_307_0_174, all_0_0_0) = 0 & aNaturalNumber0(all_307_0_174) = 0
% 243.36/186.21 |
% 243.36/186.21 | Applying alpha-rule on (792) yields:
% 243.36/186.21 | (793) isPrime0(all_307_0_174) = 0
% 243.36/186.21 | (794) doDivides0(all_307_0_174, all_0_0_0) = 0
% 243.36/186.21 | (795) aNaturalNumber0(all_307_0_174) = 0
% 243.36/186.21 |
% 243.36/186.21 | From (741) and (794) follows:
% 243.36/186.21 | (796) doDivides0(all_307_0_174, xk) = 0
% 243.36/186.21 |
% 243.36/186.21 +-Applying beta-rule and splitting (191), into two cases.
% 243.36/186.21 |-Branch one:
% 243.36/186.21 | (797) ~ (all_14_2_26 = 0)
% 243.36/186.21 |
% 243.36/186.21 | Equations (572) can reduce 797 to:
% 243.36/186.21 | (339) $false
% 243.36/186.21 |
% 243.36/186.21 |-The branch is then unsatisfiable
% 243.36/186.21 |-Branch two:
% 243.36/186.21 | (572) all_14_2_26 = 0
% 243.36/186.21 | (800) ~ (all_14_3_27 = 0) | ~ (all_14_4_28 = 0) | all_14_0_24 = xk
% 243.36/186.21 |
% 243.36/186.21 +-Applying beta-rule and splitting (263), into two cases.
% 243.36/186.21 |-Branch one:
% 243.36/186.21 | (801) all_44_0_78 = all_0_12_12 & all_44_1_79 = 0 & sdtasdt0(xp, all_44_2_80) = all_0_12_12 & aNaturalNumber0(all_44_2_80) = 0
% 243.36/186.21 |
% 243.36/186.21 | Applying alpha-rule on (801) yields:
% 243.36/186.21 | (802) all_44_0_78 = all_0_12_12
% 243.36/186.21 | (803) all_44_1_79 = 0
% 243.36/186.21 | (804) sdtasdt0(xp, all_44_2_80) = all_0_12_12
% 243.36/186.21 | (805) aNaturalNumber0(all_44_2_80) = 0
% 243.36/186.21 |
% 243.36/186.21 +-Applying beta-rule and splitting (800), into two cases.
% 243.36/186.21 |-Branch one:
% 243.36/186.21 | (806) ~ (all_14_3_27 = 0)
% 243.36/186.21 |
% 243.36/186.21 | Equations (529) can reduce 806 to:
% 243.36/186.21 | (339) $false
% 243.36/186.21 |
% 243.36/186.21 |-The branch is then unsatisfiable
% 243.36/186.21 |-Branch two:
% 243.36/186.21 | (529) all_14_3_27 = 0
% 243.36/186.21 | (809) ~ (all_14_4_28 = 0) | all_14_0_24 = xk
% 243.36/186.21 |
% 243.36/186.21 +-Applying beta-rule and splitting (809), into two cases.
% 243.36/186.21 |-Branch one:
% 243.36/186.21 | (810) ~ (all_14_4_28 = 0)
% 243.36/186.21 |
% 243.36/186.21 | Equations (538) can reduce 810 to:
% 243.36/186.21 | (339) $false
% 243.36/186.21 |
% 243.36/186.21 |-The branch is then unsatisfiable
% 243.36/186.21 |-Branch two:
% 243.36/186.21 | (538) all_14_4_28 = 0
% 243.36/186.21 | (813) all_14_0_24 = xk
% 243.36/186.21 |
% 243.36/186.21 | From (813) and (189) follows:
% 243.36/186.21 | (814) sdtpldt0(xm, all_14_1_25) = xk
% 243.36/186.21 |
% 243.36/186.21 +-Applying beta-rule and splitting (262), into two cases.
% 243.36/186.21 |-Branch one:
% 243.36/186.21 | (815) all_43_0_75 = xk & all_43_1_76 = 0 & sdtpldt0(xp, all_43_2_77) = xk & aNaturalNumber0(all_43_2_77) = 0
% 243.36/186.21 |
% 243.36/186.21 | Applying alpha-rule on (815) yields:
% 243.36/186.21 | (816) all_43_0_75 = xk
% 243.36/186.21 | (817) all_43_1_76 = 0
% 243.36/186.21 | (818) sdtpldt0(xp, all_43_2_77) = xk
% 243.36/186.21 | (819) aNaturalNumber0(all_43_2_77) = 0
% 243.36/186.21 |
% 243.36/186.21 | Using (105) and (736) yields:
% 243.36/186.21 | (820) ~ (all_0_12_12 = xm)
% 243.36/186.21 |
% 243.36/186.21 | Using (105) and (761) yields:
% 243.36/186.21 | (821) ~ (all_0_12_12 = sz00)
% 243.36/186.21 |
% 243.36/186.21 | Using (61) and (698) yields:
% 243.36/186.21 | (822) ~ (xk = xm)
% 243.36/186.21 |
% 243.36/186.21 +-Applying beta-rule and splitting (166), into two cases.
% 243.36/186.21 |-Branch one:
% 243.36/186.21 | (371) xp = sz00
% 243.36/186.21 |
% 243.36/186.21 | Equations (371) can reduce 40 to:
% 243.36/186.21 | (339) $false
% 243.36/186.21 |
% 243.36/186.21 |-The branch is then unsatisfiable
% 243.36/186.21 |-Branch two:
% 243.36/186.21 | (40) ~ (xp = sz00)
% 243.36/186.21 | (826) all_0_0_0 = xm | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (sdtasdt0(all_0_0_0, xp) = v2 & sdtasdt0(xm, xp) = v3 & aNaturalNumber0(all_0_0_0) = v0 & aNaturalNumber0(xm) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | ( ~ (v3 = v2) & ~ (all_0_9_9 = all_0_12_12))))
% 243.36/186.21 |
% 243.36/186.21 +-Applying beta-rule and splitting (165), into two cases.
% 243.36/186.21 |-Branch one:
% 243.36/186.21 | (371) xp = sz00
% 243.36/186.21 |
% 243.36/186.21 | Equations (371) can reduce 40 to:
% 243.36/186.21 | (339) $false
% 243.36/186.21 |
% 243.36/186.21 |-The branch is then unsatisfiable
% 243.36/186.21 |-Branch two:
% 243.36/186.21 | (40) ~ (xp = sz00)
% 243.36/186.21 | (830) xk = xm | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (sdtasdt0(xk, xp) = v3 & sdtasdt0(xm, xp) = v2 & aNaturalNumber0(xk) = v1 & aNaturalNumber0(xm) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | ( ~ (v3 = v2) & ~ (all_0_9_9 = all_0_12_12))))
% 243.36/186.21 |
% 243.36/186.21 +-Applying beta-rule and splitting (830), into two cases.
% 243.36/186.21 |-Branch one:
% 243.36/186.21 | (831) xk = xm
% 243.36/186.21 |
% 243.36/186.21 | Equations (831) can reduce 822 to:
% 243.36/186.21 | (339) $false
% 243.36/186.21 |
% 243.36/186.21 |-The branch is then unsatisfiable
% 243.36/186.21 |-Branch two:
% 243.36/186.21 | (822) ~ (xk = xm)
% 243.36/186.21 | (834) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (sdtasdt0(xk, xp) = v3 & sdtasdt0(xm, xp) = v2 & aNaturalNumber0(xk) = v1 & aNaturalNumber0(xm) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | ( ~ (v3 = v2) & ~ (all_0_9_9 = all_0_12_12))))
% 243.36/186.21 |
% 243.36/186.21 | Instantiating (834) with all_373_0_175, all_373_1_176, all_373_2_177, all_373_3_178 yields:
% 243.36/186.21 | (835) sdtasdt0(xk, xp) = all_373_0_175 & sdtasdt0(xm, xp) = all_373_1_176 & aNaturalNumber0(xk) = all_373_2_177 & aNaturalNumber0(xm) = all_373_3_178 & ( ~ (all_373_2_177 = 0) | ~ (all_373_3_178 = 0) | ( ~ (all_373_0_175 = all_373_1_176) & ~ (all_0_9_9 = all_0_12_12)))
% 243.36/186.21 |
% 243.36/186.21 | Applying alpha-rule on (835) yields:
% 243.36/186.21 | (836) sdtasdt0(xm, xp) = all_373_1_176
% 243.36/186.21 | (837) aNaturalNumber0(xk) = all_373_2_177
% 243.36/186.21 | (838) aNaturalNumber0(xm) = all_373_3_178
% 243.36/186.21 | (839) sdtasdt0(xk, xp) = all_373_0_175
% 243.36/186.21 | (840) ~ (all_373_2_177 = 0) | ~ (all_373_3_178 = 0) | ( ~ (all_373_0_175 = all_373_1_176) & ~ (all_0_9_9 = all_0_12_12))
% 243.36/186.21 |
% 243.36/186.21 +-Applying beta-rule and splitting (116), into two cases.
% 243.36/186.21 |-Branch one:
% 243.36/186.21 | (841) all_0_12_12 = sz00
% 243.36/186.21 |
% 243.36/186.21 | Equations (841) can reduce 821 to:
% 243.36/186.21 | (339) $false
% 243.36/186.21 |
% 243.36/186.21 |-The branch is then unsatisfiable
% 243.36/186.21 |-Branch two:
% 243.36/186.21 | (821) ~ (all_0_12_12 = sz00)
% 243.36/186.21 | (844) ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(xp, all_0_12_12) = v2 & aNaturalNumber0(all_0_12_12) = v1 & aNaturalNumber0(xp) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 243.36/186.21 |
% 243.36/186.21 | Instantiating (844) with all_379_0_179, all_379_1_180, all_379_2_181 yields:
% 243.36/186.21 | (845) sdtlseqdt0(xp, all_0_12_12) = all_379_0_179 & aNaturalNumber0(all_0_12_12) = all_379_1_180 & aNaturalNumber0(xp) = all_379_2_181 & ( ~ (all_379_1_180 = 0) | ~ (all_379_2_181 = 0) | all_379_0_179 = 0)
% 243.36/186.21 |
% 243.36/186.21 | Applying alpha-rule on (845) yields:
% 243.36/186.21 | (846) sdtlseqdt0(xp, all_0_12_12) = all_379_0_179
% 243.36/186.21 | (847) aNaturalNumber0(all_0_12_12) = all_379_1_180
% 243.36/186.21 | (848) aNaturalNumber0(xp) = all_379_2_181
% 243.36/186.21 | (849) ~ (all_379_1_180 = 0) | ~ (all_379_2_181 = 0) | all_379_0_179 = 0
% 243.36/186.21 |
% 243.36/186.21 +-Applying beta-rule and splitting (134), into two cases.
% 243.36/186.21 |-Branch one:
% 243.36/186.21 | (371) xp = sz00
% 243.36/186.21 |
% 243.36/186.21 | Equations (371) can reduce 40 to:
% 243.36/186.21 | (339) $false
% 243.36/186.21 |
% 243.36/186.21 |-The branch is then unsatisfiable
% 243.36/186.21 |-Branch two:
% 243.36/186.21 | (40) ~ (xp = sz00)
% 243.36/186.21 | (853) all_0_0_0 = xm | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (sdtlseqdt0(v4, v5) = v6 & sdtlseqdt0(xm, all_0_0_0) = v3 & sdtasdt0(all_0_0_0, xp) = v5 & sdtasdt0(xm, xp) = v4 & aNaturalNumber0(all_0_0_0) = v2 & aNaturalNumber0(xp) = v0 & aNaturalNumber0(xm) = v1 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v6 = 0 & all_0_7_7 = 0 & ~ (v5 = v4) & ~ (all_0_9_9 = all_0_12_12))))
% 243.36/186.21 |
% 243.36/186.21 +-Applying beta-rule and splitting (135), into two cases.
% 243.36/186.21 |-Branch one:
% 243.36/186.21 | (371) xp = sz00
% 243.36/186.21 |
% 243.36/186.21 | Equations (371) can reduce 40 to:
% 243.36/186.21 | (339) $false
% 243.36/186.21 |
% 243.36/186.21 |-The branch is then unsatisfiable
% 243.36/186.21 |-Branch two:
% 243.36/186.21 | (40) ~ (xp = sz00)
% 243.36/186.21 | (857) xk = xm | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (sdtlseqdt0(v4, v5) = v6 & sdtlseqdt0(xm, xk) = v3 & sdtasdt0(xk, xp) = v5 & sdtasdt0(xm, xp) = v4 & aNaturalNumber0(xk) = v2 & aNaturalNumber0(xp) = v0 & aNaturalNumber0(xm) = v1 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v6 = 0 & all_0_7_7 = 0 & ~ (v5 = v4) & ~ (all_0_9_9 = all_0_12_12))))
% 243.36/186.21 |
% 243.36/186.21 +-Applying beta-rule and splitting (113), into two cases.
% 243.36/186.21 |-Branch one:
% 243.36/186.21 | (841) all_0_12_12 = sz00
% 243.36/186.21 |
% 243.36/186.21 | Equations (841) can reduce 821 to:
% 243.36/186.21 | (339) $false
% 243.36/186.21 |
% 243.36/186.21 |-The branch is then unsatisfiable
% 243.36/186.21 |-Branch two:
% 243.36/186.21 | (821) ~ (all_0_12_12 = sz00)
% 243.36/186.21 | (861) ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(xr, all_0_12_12) = v2 & aNaturalNumber0(all_0_12_12) = v1 & aNaturalNumber0(xr) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 243.36/186.21 |
% 243.36/186.21 | Instantiating (861) with all_391_0_182, all_391_1_183, all_391_2_184 yields:
% 243.36/186.21 | (862) sdtlseqdt0(xr, all_0_12_12) = all_391_0_182 & aNaturalNumber0(all_0_12_12) = all_391_1_183 & aNaturalNumber0(xr) = all_391_2_184 & ( ~ (all_391_1_183 = 0) | ~ (all_391_2_184 = 0) | all_391_0_182 = 0)
% 243.36/186.21 |
% 243.36/186.21 | Applying alpha-rule on (862) yields:
% 243.36/186.21 | (863) sdtlseqdt0(xr, all_0_12_12) = all_391_0_182
% 243.36/186.21 | (864) aNaturalNumber0(all_0_12_12) = all_391_1_183
% 243.36/186.21 | (865) aNaturalNumber0(xr) = all_391_2_184
% 243.36/186.21 | (866) ~ (all_391_1_183 = 0) | ~ (all_391_2_184 = 0) | all_391_0_182 = 0
% 243.36/186.21 |
% 243.36/186.21 +-Applying beta-rule and splitting (853), into two cases.
% 243.36/186.21 |-Branch one:
% 243.36/186.21 | (867) all_0_0_0 = xm
% 243.36/186.21 |
% 243.36/186.21 | Combining equations (741,867) yields a new equation:
% 243.36/186.21 | (868) xk = xm
% 243.36/186.21 |
% 243.36/186.21 | Simplifying 868 yields:
% 243.36/186.21 | (831) xk = xm
% 243.36/186.21 |
% 243.36/186.21 | Equations (831) can reduce 822 to:
% 243.36/186.21 | (339) $false
% 243.36/186.21 |
% 243.36/186.21 |-The branch is then unsatisfiable
% 243.36/186.21 |-Branch two:
% 243.36/186.21 | (871) ~ (all_0_0_0 = xm)
% 243.36/186.21 | (872) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (sdtlseqdt0(v4, v5) = v6 & sdtlseqdt0(xm, all_0_0_0) = v3 & sdtasdt0(all_0_0_0, xp) = v5 & sdtasdt0(xm, xp) = v4 & aNaturalNumber0(all_0_0_0) = v2 & aNaturalNumber0(xp) = v0 & aNaturalNumber0(xm) = v1 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v6 = 0 & all_0_7_7 = 0 & ~ (v5 = v4) & ~ (all_0_9_9 = all_0_12_12))))
% 243.36/186.21 |
% 243.36/186.21 | Instantiating (872) with all_396_0_185, all_396_1_186, all_396_2_187, all_396_3_188, all_396_4_189, all_396_5_190, all_396_6_191 yields:
% 243.36/186.21 | (873) sdtlseqdt0(all_396_2_187, all_396_1_186) = all_396_0_185 & sdtlseqdt0(xm, all_0_0_0) = all_396_3_188 & sdtasdt0(all_0_0_0, xp) = all_396_1_186 & sdtasdt0(xm, xp) = all_396_2_187 & aNaturalNumber0(all_0_0_0) = all_396_4_189 & aNaturalNumber0(xp) = all_396_6_191 & aNaturalNumber0(xm) = all_396_5_190 & ( ~ (all_396_3_188 = 0) | ~ (all_396_4_189 = 0) | ~ (all_396_5_190 = 0) | ~ (all_396_6_191 = 0) | (all_396_0_185 = 0 & all_0_7_7 = 0 & ~ (all_396_1_186 = all_396_2_187) & ~ (all_0_9_9 = all_0_12_12)))
% 243.36/186.21 |
% 243.36/186.21 | Applying alpha-rule on (873) yields:
% 243.36/186.21 | (874) aNaturalNumber0(xp) = all_396_6_191
% 243.36/186.21 | (875) sdtlseqdt0(all_396_2_187, all_396_1_186) = all_396_0_185
% 243.36/186.21 | (876) sdtasdt0(xm, xp) = all_396_2_187
% 243.36/186.21 | (877) aNaturalNumber0(xm) = all_396_5_190
% 243.36/186.21 | (878) sdtlseqdt0(xm, all_0_0_0) = all_396_3_188
% 243.36/186.21 | (879) ~ (all_396_3_188 = 0) | ~ (all_396_4_189 = 0) | ~ (all_396_5_190 = 0) | ~ (all_396_6_191 = 0) | (all_396_0_185 = 0 & all_0_7_7 = 0 & ~ (all_396_1_186 = all_396_2_187) & ~ (all_0_9_9 = all_0_12_12))
% 243.36/186.21 | (880) aNaturalNumber0(all_0_0_0) = all_396_4_189
% 243.36/186.21 | (881) sdtasdt0(all_0_0_0, xp) = all_396_1_186
% 243.36/186.21 |
% 243.36/186.21 | Equations (741) can reduce 871 to:
% 243.36/186.21 | (822) ~ (xk = xm)
% 243.36/186.21 |
% 243.36/186.21 | From (741) and (878) follows:
% 243.36/186.21 | (883) sdtlseqdt0(xm, xk) = all_396_3_188
% 243.36/186.21 |
% 243.36/186.21 | From (741) and (881) follows:
% 243.36/186.22 | (884) sdtasdt0(xk, xp) = all_396_1_186
% 243.36/186.22 |
% 243.36/186.22 | From (741) and (880) follows:
% 243.36/186.22 | (885) aNaturalNumber0(xk) = all_396_4_189
% 243.36/186.22 |
% 243.36/186.22 +-Applying beta-rule and splitting (857), into two cases.
% 243.36/186.22 |-Branch one:
% 243.36/186.22 | (831) xk = xm
% 243.36/186.22 |
% 243.36/186.22 | Equations (831) can reduce 822 to:
% 243.36/186.22 | (339) $false
% 243.36/186.22 |
% 243.36/186.22 |-The branch is then unsatisfiable
% 243.36/186.22 |-Branch two:
% 243.36/186.22 | (822) ~ (xk = xm)
% 243.36/186.22 | (889) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (sdtlseqdt0(v4, v5) = v6 & sdtlseqdt0(xm, xk) = v3 & sdtasdt0(xk, xp) = v5 & sdtasdt0(xm, xp) = v4 & aNaturalNumber0(xk) = v2 & aNaturalNumber0(xp) = v0 & aNaturalNumber0(xm) = v1 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v6 = 0 & all_0_7_7 = 0 & ~ (v5 = v4) & ~ (all_0_9_9 = all_0_12_12))))
% 243.36/186.22 |
% 243.36/186.22 | Instantiating (889) with all_401_0_192, all_401_1_193, all_401_2_194, all_401_3_195, all_401_4_196, all_401_5_197, all_401_6_198 yields:
% 243.36/186.22 | (890) sdtlseqdt0(all_401_2_194, all_401_1_193) = all_401_0_192 & sdtlseqdt0(xm, xk) = all_401_3_195 & sdtasdt0(xk, xp) = all_401_1_193 & sdtasdt0(xm, xp) = all_401_2_194 & aNaturalNumber0(xk) = all_401_4_196 & aNaturalNumber0(xp) = all_401_6_198 & aNaturalNumber0(xm) = all_401_5_197 & ( ~ (all_401_3_195 = 0) | ~ (all_401_4_196 = 0) | ~ (all_401_5_197 = 0) | ~ (all_401_6_198 = 0) | (all_401_0_192 = 0 & all_0_7_7 = 0 & ~ (all_401_1_193 = all_401_2_194) & ~ (all_0_9_9 = all_0_12_12)))
% 243.36/186.22 |
% 243.36/186.22 | Applying alpha-rule on (890) yields:
% 243.36/186.22 | (891) sdtasdt0(xm, xp) = all_401_2_194
% 243.36/186.22 | (892) sdtlseqdt0(all_401_2_194, all_401_1_193) = all_401_0_192
% 243.36/186.22 | (893) aNaturalNumber0(xp) = all_401_6_198
% 243.36/186.22 | (894) aNaturalNumber0(xm) = all_401_5_197
% 243.36/186.22 | (895) sdtlseqdt0(xm, xk) = all_401_3_195
% 243.36/186.22 | (896) aNaturalNumber0(xk) = all_401_4_196
% 243.36/186.22 | (897) sdtasdt0(xk, xp) = all_401_1_193
% 243.36/186.22 | (898) ~ (all_401_3_195 = 0) | ~ (all_401_4_196 = 0) | ~ (all_401_5_197 = 0) | ~ (all_401_6_198 = 0) | (all_401_0_192 = 0 & all_0_7_7 = 0 & ~ (all_401_1_193 = all_401_2_194) & ~ (all_0_9_9 = all_0_12_12))
% 243.36/186.22 |
% 243.36/186.22 | Instantiating formula (16) with xm, xk, all_396_3_188, all_401_3_195 and discharging atoms sdtlseqdt0(xm, xk) = all_401_3_195, sdtlseqdt0(xm, xk) = all_396_3_188, yields:
% 243.36/186.22 | (899) all_401_3_195 = all_396_3_188
% 243.36/186.22 |
% 243.36/186.22 | Instantiating formula (7) with xk, xp, all_396_1_186, all_0_12_12 and discharging atoms sdtasdt0(xk, xp) = all_396_1_186, sdtasdt0(xk, xp) = all_0_12_12, yields:
% 243.36/186.22 | (900) all_396_1_186 = all_0_12_12
% 243.36/186.22 |
% 243.36/186.22 | Instantiating formula (7) with xk, xp, all_396_1_186, all_401_1_193 and discharging atoms sdtasdt0(xk, xp) = all_401_1_193, sdtasdt0(xk, xp) = all_396_1_186, yields:
% 243.36/186.22 | (901) all_401_1_193 = all_396_1_186
% 243.36/186.22 |
% 243.36/186.22 | Instantiating formula (7) with xk, xp, all_373_0_175, all_401_1_193 and discharging atoms sdtasdt0(xk, xp) = all_401_1_193, sdtasdt0(xk, xp) = all_373_0_175, yields:
% 243.36/186.22 | (902) all_401_1_193 = all_373_0_175
% 243.36/186.22 |
% 243.36/186.22 | Instantiating formula (7) with xm, xp, all_401_2_194, all_0_9_9 and discharging atoms sdtasdt0(xm, xp) = all_401_2_194, sdtasdt0(xm, xp) = all_0_9_9, yields:
% 243.36/186.22 | (903) all_401_2_194 = all_0_9_9
% 243.36/186.22 |
% 243.36/186.22 | Instantiating formula (7) with xm, xp, all_396_2_187, all_401_2_194 and discharging atoms sdtasdt0(xm, xp) = all_401_2_194, sdtasdt0(xm, xp) = all_396_2_187, yields:
% 243.36/186.22 | (904) all_401_2_194 = all_396_2_187
% 243.36/186.22 |
% 243.36/186.22 | Instantiating formula (7) with xm, xp, all_373_1_176, all_401_2_194 and discharging atoms sdtasdt0(xm, xp) = all_401_2_194, sdtasdt0(xm, xp) = all_373_1_176, yields:
% 243.36/186.22 | (905) all_401_2_194 = all_373_1_176
% 243.36/186.22 |
% 243.36/186.22 | Instantiating formula (31) with all_0_12_12, all_391_1_183, 0 and discharging atoms aNaturalNumber0(all_0_12_12) = all_391_1_183, aNaturalNumber0(all_0_12_12) = 0, yields:
% 243.36/186.22 | (906) all_391_1_183 = 0
% 243.36/186.22 |
% 243.36/186.22 | Instantiating formula (31) with all_0_12_12, all_379_1_180, all_391_1_183 and discharging atoms aNaturalNumber0(all_0_12_12) = all_391_1_183, aNaturalNumber0(all_0_12_12) = all_379_1_180, yields:
% 243.36/186.22 | (907) all_391_1_183 = all_379_1_180
% 243.36/186.22 |
% 243.36/186.22 | Instantiating formula (31) with xk, all_401_4_196, 0 and discharging atoms aNaturalNumber0(xk) = all_401_4_196, aNaturalNumber0(xk) = 0, yields:
% 243.36/186.22 | (908) all_401_4_196 = 0
% 243.36/186.22 |
% 243.36/186.22 | Instantiating formula (31) with xk, all_396_4_189, all_401_4_196 and discharging atoms aNaturalNumber0(xk) = all_401_4_196, aNaturalNumber0(xk) = all_396_4_189, yields:
% 243.36/186.22 | (909) all_401_4_196 = all_396_4_189
% 243.36/186.22 |
% 243.36/186.22 | Instantiating formula (31) with xk, all_373_2_177, all_396_4_189 and discharging atoms aNaturalNumber0(xk) = all_396_4_189, aNaturalNumber0(xk) = all_373_2_177, yields:
% 243.36/186.22 | (910) all_396_4_189 = all_373_2_177
% 243.36/186.22 |
% 243.36/186.22 | Instantiating formula (31) with xp, all_401_6_198, 0 and discharging atoms aNaturalNumber0(xp) = all_401_6_198, aNaturalNumber0(xp) = 0, yields:
% 243.36/186.22 | (911) all_401_6_198 = 0
% 243.36/186.22 |
% 243.36/186.22 | Instantiating formula (31) with xp, all_396_6_191, all_401_6_198 and discharging atoms aNaturalNumber0(xp) = all_401_6_198, aNaturalNumber0(xp) = all_396_6_191, yields:
% 243.36/186.22 | (912) all_401_6_198 = all_396_6_191
% 243.36/186.22 |
% 243.36/186.22 | Instantiating formula (31) with xp, all_379_2_181, all_401_6_198 and discharging atoms aNaturalNumber0(xp) = all_401_6_198, aNaturalNumber0(xp) = all_379_2_181, yields:
% 243.36/186.22 | (913) all_401_6_198 = all_379_2_181
% 243.36/186.22 |
% 243.36/186.22 | Instantiating formula (31) with xm, all_396_5_190, 0 and discharging atoms aNaturalNumber0(xm) = all_396_5_190, aNaturalNumber0(xm) = 0, yields:
% 243.36/186.22 | (914) all_396_5_190 = 0
% 243.36/186.22 |
% 243.36/186.22 | Instantiating formula (31) with xm, all_396_5_190, all_401_5_197 and discharging atoms aNaturalNumber0(xm) = all_401_5_197, aNaturalNumber0(xm) = all_396_5_190, yields:
% 243.36/186.22 | (915) all_401_5_197 = all_396_5_190
% 243.36/186.22 |
% 243.36/186.22 | Instantiating formula (31) with xm, all_373_3_178, all_401_5_197 and discharging atoms aNaturalNumber0(xm) = all_401_5_197, aNaturalNumber0(xm) = all_373_3_178, yields:
% 243.36/186.22 | (916) all_401_5_197 = all_373_3_178
% 243.36/186.22 |
% 243.36/186.22 | Combining equations (901,902) yields a new equation:
% 243.36/186.22 | (917) all_396_1_186 = all_373_0_175
% 243.36/186.22 |
% 243.36/186.22 | Simplifying 917 yields:
% 243.36/186.22 | (918) all_396_1_186 = all_373_0_175
% 243.36/186.22 |
% 243.36/186.22 | Combining equations (903,904) yields a new equation:
% 243.36/186.22 | (919) all_396_2_187 = all_0_9_9
% 243.36/186.22 |
% 243.36/186.22 | Combining equations (905,904) yields a new equation:
% 243.36/186.22 | (920) all_396_2_187 = all_373_1_176
% 243.36/186.22 |
% 243.36/186.22 | Combining equations (909,908) yields a new equation:
% 243.36/186.22 | (921) all_396_4_189 = 0
% 243.36/186.22 |
% 243.36/186.22 | Simplifying 921 yields:
% 243.36/186.22 | (922) all_396_4_189 = 0
% 243.36/186.22 |
% 243.36/186.22 | Combining equations (915,916) yields a new equation:
% 243.36/186.22 | (923) all_396_5_190 = all_373_3_178
% 243.36/186.22 |
% 243.36/186.22 | Simplifying 923 yields:
% 243.36/186.22 | (924) all_396_5_190 = all_373_3_178
% 243.36/186.22 |
% 243.36/186.22 | Combining equations (911,912) yields a new equation:
% 243.36/186.22 | (925) all_396_6_191 = 0
% 243.36/186.22 |
% 243.36/186.22 | Combining equations (913,912) yields a new equation:
% 243.36/186.22 | (926) all_396_6_191 = all_379_2_181
% 243.36/186.22 |
% 243.36/186.22 | Combining equations (900,918) yields a new equation:
% 243.36/186.22 | (927) all_373_0_175 = all_0_12_12
% 243.36/186.22 |
% 243.36/186.22 | Combining equations (920,919) yields a new equation:
% 243.36/186.22 | (928) all_373_1_176 = all_0_9_9
% 243.36/186.22 |
% 243.36/186.22 | Simplifying 928 yields:
% 243.36/186.22 | (929) all_373_1_176 = all_0_9_9
% 243.36/186.22 |
% 243.36/186.22 | Combining equations (910,922) yields a new equation:
% 243.36/186.22 | (930) all_373_2_177 = 0
% 243.36/186.22 |
% 243.36/186.22 | Simplifying 930 yields:
% 243.36/186.22 | (931) all_373_2_177 = 0
% 243.36/186.22 |
% 243.36/186.22 | Combining equations (924,914) yields a new equation:
% 243.36/186.22 | (932) all_373_3_178 = 0
% 243.36/186.22 |
% 243.36/186.22 | Simplifying 932 yields:
% 243.36/186.22 | (933) all_373_3_178 = 0
% 243.36/186.22 |
% 243.36/186.22 | Combining equations (926,925) yields a new equation:
% 243.36/186.22 | (934) all_379_2_181 = 0
% 243.36/186.22 |
% 243.36/186.22 | Simplifying 934 yields:
% 243.36/186.22 | (935) all_379_2_181 = 0
% 243.36/186.22 |
% 243.36/186.22 | Combining equations (907,906) yields a new equation:
% 243.36/186.22 | (936) all_379_1_180 = 0
% 243.36/186.22 |
% 243.36/186.22 | Simplifying 936 yields:
% 243.36/186.22 | (937) all_379_1_180 = 0
% 243.36/186.22 |
% 243.36/186.22 | Combining equations (927,918) yields a new equation:
% 243.36/186.22 | (900) all_396_1_186 = all_0_12_12
% 243.36/186.22 |
% 243.36/186.22 | Combining equations (919,904) yields a new equation:
% 243.36/186.22 | (903) all_401_2_194 = all_0_9_9
% 243.36/186.22 |
% 243.36/186.22 | Combining equations (927,902) yields a new equation:
% 243.36/186.22 | (940) all_401_1_193 = all_0_12_12
% 243.36/186.22 |
% 243.36/186.22 | From (903)(940) and (892) follows:
% 243.36/186.22 | (941) sdtlseqdt0(all_0_9_9, all_0_12_12) = all_401_0_192
% 243.36/186.22 |
% 243.36/186.22 | From (919)(900) and (875) follows:
% 243.36/186.22 | (942) sdtlseqdt0(all_0_9_9, all_0_12_12) = all_396_0_185
% 243.36/186.22 |
% 243.36/186.22 | From (899) and (895) follows:
% 243.36/186.22 | (883) sdtlseqdt0(xm, xk) = all_396_3_188
% 243.36/186.22 |
% 243.36/186.22 | From (927) and (839) follows:
% 243.36/186.22 | (755) sdtasdt0(xk, xp) = all_0_12_12
% 243.36/186.22 |
% 243.36/186.22 | From (929) and (836) follows:
% 243.36/186.22 | (711) sdtasdt0(xm, xp) = all_0_9_9
% 243.36/186.22 |
% 243.36/186.22 | From (931) and (837) follows:
% 243.36/186.22 | (36) aNaturalNumber0(xk) = 0
% 243.36/186.22 |
% 243.36/186.22 | From (935) and (848) follows:
% 243.36/186.22 | (106) aNaturalNumber0(xp) = 0
% 243.36/186.22 |
% 243.36/186.22 | From (933) and (838) follows:
% 243.36/186.22 | (29) aNaturalNumber0(xm) = 0
% 243.36/186.22 |
% 243.36/186.22 +-Applying beta-rule and splitting (139), into two cases.
% 243.36/186.22 |-Branch one:
% 243.36/186.22 | (949) ~ (sdtasdt0(sz00, xm) = all_0_12_12)
% 243.36/186.22 |
% 243.36/186.22 +-Applying beta-rule and splitting (167), into two cases.
% 243.36/186.22 |-Branch one:
% 243.36/186.22 | (371) xp = sz00
% 243.36/186.22 |
% 243.36/186.22 | Equations (371) can reduce 40 to:
% 243.36/186.22 | (339) $false
% 243.36/186.22 |
% 243.36/186.22 |-The branch is then unsatisfiable
% 243.36/186.22 |-Branch two:
% 243.36/186.22 | (40) ~ (xp = sz00)
% 243.36/186.22 | (953) xk = xm | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (sdtasdt0(xk, xp) = v2 & sdtasdt0(xm, xp) = v3 & aNaturalNumber0(xk) = v0 & aNaturalNumber0(xm) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | ( ~ (v3 = v2) & ~ (all_0_9_9 = all_0_12_12))))
% 243.36/186.22 |
% 243.36/186.22 +-Applying beta-rule and splitting (953), into two cases.
% 243.36/186.22 |-Branch one:
% 243.36/186.22 | (831) xk = xm
% 243.36/186.22 |
% 243.36/186.22 | Equations (831) can reduce 822 to:
% 243.36/186.22 | (339) $false
% 243.36/186.22 |
% 243.36/186.22 |-The branch is then unsatisfiable
% 243.36/186.22 |-Branch two:
% 243.36/186.22 | (822) ~ (xk = xm)
% 243.36/186.22 | (957) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (sdtasdt0(xk, xp) = v2 & sdtasdt0(xm, xp) = v3 & aNaturalNumber0(xk) = v0 & aNaturalNumber0(xm) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | ( ~ (v3 = v2) & ~ (all_0_9_9 = all_0_12_12))))
% 243.36/186.22 |
% 243.36/186.22 | Instantiating (957) with all_427_0_199, all_427_1_200, all_427_2_201, all_427_3_202 yields:
% 243.36/186.22 | (958) sdtasdt0(xk, xp) = all_427_1_200 & sdtasdt0(xm, xp) = all_427_0_199 & aNaturalNumber0(xk) = all_427_3_202 & aNaturalNumber0(xm) = all_427_2_201 & ( ~ (all_427_2_201 = 0) | ~ (all_427_3_202 = 0) | ( ~ (all_427_0_199 = all_427_1_200) & ~ (all_0_9_9 = all_0_12_12)))
% 243.36/186.22 |
% 243.36/186.22 | Applying alpha-rule on (958) yields:
% 243.36/186.22 | (959) aNaturalNumber0(xk) = all_427_3_202
% 243.36/186.22 | (960) ~ (all_427_2_201 = 0) | ~ (all_427_3_202 = 0) | ( ~ (all_427_0_199 = all_427_1_200) & ~ (all_0_9_9 = all_0_12_12))
% 243.36/186.22 | (961) aNaturalNumber0(xm) = all_427_2_201
% 243.36/186.22 | (962) sdtasdt0(xk, xp) = all_427_1_200
% 243.36/186.22 | (963) sdtasdt0(xm, xp) = all_427_0_199
% 243.36/186.22 |
% 243.36/186.22 +-Applying beta-rule and splitting (849), into two cases.
% 243.36/186.22 |-Branch one:
% 243.36/186.22 | (964) ~ (all_379_1_180 = 0)
% 243.36/186.22 |
% 243.36/186.22 | Equations (937) can reduce 964 to:
% 243.36/186.22 | (339) $false
% 243.36/186.22 |
% 243.36/186.22 |-The branch is then unsatisfiable
% 243.36/186.22 |-Branch two:
% 243.36/186.22 | (937) all_379_1_180 = 0
% 243.36/186.22 | (967) ~ (all_379_2_181 = 0) | all_379_0_179 = 0
% 243.36/186.22 |
% 243.36/186.22 +-Applying beta-rule and splitting (967), into two cases.
% 243.36/186.22 |-Branch one:
% 243.36/186.22 | (968) ~ (all_379_2_181 = 0)
% 243.36/186.22 |
% 243.36/186.22 | Equations (935) can reduce 968 to:
% 243.36/186.22 | (339) $false
% 243.36/186.22 |
% 243.36/186.22 |-The branch is then unsatisfiable
% 243.36/186.22 |-Branch two:
% 243.36/186.22 | (935) all_379_2_181 = 0
% 243.36/186.22 | (971) all_379_0_179 = 0
% 243.36/186.22 |
% 243.36/186.22 | From (971) and (846) follows:
% 243.36/186.22 | (972) sdtlseqdt0(xp, all_0_12_12) = 0
% 243.36/186.22 |
% 243.36/186.22 | Instantiating formula (16) with all_0_9_9, all_0_12_12, all_401_0_192, all_0_7_7 and discharging atoms sdtlseqdt0(all_0_9_9, all_0_12_12) = all_401_0_192, sdtlseqdt0(all_0_9_9, all_0_12_12) = all_0_7_7, yields:
% 243.36/186.22 | (973) all_401_0_192 = all_0_7_7
% 243.36/186.22 |
% 243.36/186.22 | Instantiating formula (16) with all_0_9_9, all_0_12_12, all_396_0_185, all_401_0_192 and discharging atoms sdtlseqdt0(all_0_9_9, all_0_12_12) = all_401_0_192, sdtlseqdt0(all_0_9_9, all_0_12_12) = all_396_0_185, yields:
% 243.36/186.22 | (974) all_401_0_192 = all_396_0_185
% 243.36/186.22 |
% 243.36/186.22 | Instantiating formula (7) with xk, xp, all_427_1_200, all_0_12_12 and discharging atoms sdtasdt0(xk, xp) = all_427_1_200, sdtasdt0(xk, xp) = all_0_12_12, yields:
% 243.36/186.22 | (975) all_427_1_200 = all_0_12_12
% 243.36/186.22 |
% 243.36/186.22 | Instantiating formula (7) with xm, xp, all_427_0_199, all_0_9_9 and discharging atoms sdtasdt0(xm, xp) = all_427_0_199, sdtasdt0(xm, xp) = all_0_9_9, yields:
% 243.36/186.22 | (976) all_427_0_199 = all_0_9_9
% 243.36/186.22 |
% 243.36/186.22 | Instantiating formula (31) with xk, all_427_3_202, 0 and discharging atoms aNaturalNumber0(xk) = all_427_3_202, aNaturalNumber0(xk) = 0, yields:
% 243.36/186.22 | (977) all_427_3_202 = 0
% 243.36/186.22 |
% 243.36/186.22 | Instantiating formula (31) with xm, all_427_2_201, 0 and discharging atoms aNaturalNumber0(xm) = all_427_2_201, aNaturalNumber0(xm) = 0, yields:
% 243.36/186.22 | (978) all_427_2_201 = 0
% 243.36/186.22 |
% 243.36/186.22 | Using (4) and (949) yields:
% 243.36/186.22 | (979) ~ (xn = sz00)
% 243.36/186.22 |
% 243.36/186.22 | Combining equations (973,974) yields a new equation:
% 243.36/186.22 | (980) all_396_0_185 = all_0_7_7
% 243.36/186.22 |
% 243.36/186.22 | From (980) and (942) follows:
% 243.36/186.23 | (18) sdtlseqdt0(all_0_9_9, all_0_12_12) = all_0_7_7
% 243.36/186.23 |
% 243.36/186.23 | From (975) and (962) follows:
% 243.36/186.23 | (755) sdtasdt0(xk, xp) = all_0_12_12
% 243.36/186.23 |
% 243.36/186.23 | From (976) and (963) follows:
% 243.36/186.23 | (711) sdtasdt0(xm, xp) = all_0_9_9
% 243.36/186.23 |
% 243.36/186.23 | From (977) and (959) follows:
% 243.36/186.23 | (36) aNaturalNumber0(xk) = 0
% 243.36/186.23 |
% 243.36/186.23 | From (978) and (961) follows:
% 243.36/186.23 | (29) aNaturalNumber0(xm) = 0
% 243.36/186.23 |
% 243.36/186.23 +-Applying beta-rule and splitting (138), into two cases.
% 243.36/186.23 |-Branch one:
% 243.36/186.23 | (986) ~ (sdtasdt0(sz10, xm) = all_0_12_12)
% 243.36/186.23 |
% 243.36/186.23 | Using (4) and (986) yields:
% 243.36/186.23 | (987) ~ (xn = sz10)
% 243.36/186.23 |
% 243.36/186.23 +-Applying beta-rule and splitting (169), into two cases.
% 243.36/186.23 |-Branch one:
% 243.36/186.23 | (988) xn = sz00
% 243.36/186.23 |
% 243.36/186.23 | Equations (988) can reduce 979 to:
% 243.36/186.23 | (339) $false
% 243.36/186.23 |
% 243.36/186.23 |-The branch is then unsatisfiable
% 243.36/186.23 |-Branch two:
% 243.36/186.23 | (979) ~ (xn = sz00)
% 243.36/186.23 | (991) xn = sz10 | ? [v0] : (isPrime0(v0) = 0 & doDivides0(v0, xn) = 0 & aNaturalNumber0(v0) = 0)
% 243.36/186.23 |
% 243.36/186.23 +-Applying beta-rule and splitting (991), into two cases.
% 243.36/186.23 |-Branch one:
% 243.36/186.23 | (992) xn = sz10
% 243.36/186.23 |
% 243.36/186.23 | Equations (992) can reduce 987 to:
% 243.36/186.23 | (339) $false
% 243.36/186.23 |
% 243.36/186.23 |-The branch is then unsatisfiable
% 243.36/186.23 |-Branch two:
% 243.36/186.23 | (987) ~ (xn = sz10)
% 243.36/186.23 | (995) ? [v0] : (isPrime0(v0) = 0 & doDivides0(v0, xn) = 0 & aNaturalNumber0(v0) = 0)
% 243.36/186.23 |
% 243.36/186.23 | Instantiating (995) with all_469_0_203 yields:
% 243.36/186.23 | (996) isPrime0(all_469_0_203) = 0 & doDivides0(all_469_0_203, xn) = 0 & aNaturalNumber0(all_469_0_203) = 0
% 243.36/186.23 |
% 243.36/186.23 | Applying alpha-rule on (996) yields:
% 243.36/186.23 | (997) isPrime0(all_469_0_203) = 0
% 243.36/186.23 | (998) doDivides0(all_469_0_203, xn) = 0
% 243.36/186.23 | (999) aNaturalNumber0(all_469_0_203) = 0
% 243.36/186.23 |
% 243.36/186.23 | Instantiating formula (98) with xn, all_469_0_203 and discharging atoms doDivides0(all_469_0_203, xn) = 0, yields:
% 243.36/186.23 | (1000) xn = sz00 | ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(all_469_0_203, xn) = v2 & aNaturalNumber0(all_469_0_203) = v0 & aNaturalNumber0(xn) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 243.36/186.23 |
% 243.36/186.23 | Instantiating formula (73) with xk, all_0_6_6, xp, all_307_0_174 and discharging atoms doDivides0(all_307_0_174, xk) = 0, sdtpldt0(xp, all_0_6_6) = xk, yields:
% 243.36/186.23 | (1001) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (doDivides0(all_307_0_174, all_0_6_6) = v4 & doDivides0(all_307_0_174, xp) = v3 & aNaturalNumber0(all_307_0_174) = v0 & aNaturalNumber0(all_0_6_6) = v2 & aNaturalNumber0(xp) = v1 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0))
% 243.36/186.23 |
% 243.36/186.23 | Instantiating formula (98) with xk, all_307_0_174 and discharging atoms doDivides0(all_307_0_174, xk) = 0, yields:
% 243.36/186.23 | (1002) xk = sz00 | ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(all_307_0_174, xk) = v2 & aNaturalNumber0(all_307_0_174) = v0 & aNaturalNumber0(xk) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 243.36/186.23 |
% 243.36/186.23 | Instantiating formula (73) with xp, all_0_2_2, xm, all_107_0_173 and discharging atoms doDivides0(all_107_0_173, xp) = 0, sdtpldt0(xm, all_0_2_2) = xp, yields:
% 243.36/186.23 | (1003) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (doDivides0(all_107_0_173, all_0_2_2) = v4 & doDivides0(all_107_0_173, xm) = v3 & aNaturalNumber0(all_107_0_173) = v0 & aNaturalNumber0(all_0_2_2) = v2 & aNaturalNumber0(xm) = v1 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0))
% 243.36/186.23 |
% 243.36/186.23 | Instantiating formula (73) with xp, all_0_1_1, xn, all_107_0_173 and discharging atoms doDivides0(all_107_0_173, xp) = 0, sdtpldt0(xn, all_0_1_1) = xp, yields:
% 243.36/186.23 | (1004) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (doDivides0(all_107_0_173, all_0_1_1) = v4 & doDivides0(all_107_0_173, xn) = v3 & aNaturalNumber0(all_107_0_173) = v0 & aNaturalNumber0(all_0_1_1) = v2 & aNaturalNumber0(xn) = v1 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0))
% 243.36/186.23 |
% 243.36/186.23 | Instantiating formula (63) with all_107_0_173, xp and discharging atoms isPrime0(xp) = 0, doDivides0(all_107_0_173, xp) = 0, yields:
% 243.36/186.23 | (1005) all_107_0_173 = xp | all_107_0_173 = sz10 | ? [v0] : (( ~ (v0 = 0) & aNaturalNumber0(all_107_0_173) = v0) | ( ~ (v0 = 0) & aNaturalNumber0(xp) = v0))
% 243.36/186.23 |
% 243.36/186.23 | Instantiating formula (98) with xp, all_107_0_173 and discharging atoms doDivides0(all_107_0_173, xp) = 0, yields:
% 243.36/186.23 | (1006) xp = sz00 | ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(all_107_0_173, xp) = v2 & aNaturalNumber0(all_107_0_173) = v0 & aNaturalNumber0(xp) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 243.36/186.23 |
% 243.36/186.23 | Instantiating formula (73) with xk, all_0_6_6, xp, all_102_0_172 and discharging atoms doDivides0(all_102_0_172, xk) = 0, sdtpldt0(xp, all_0_6_6) = xk, yields:
% 243.36/186.23 | (1007) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (doDivides0(all_102_0_172, all_0_6_6) = v4 & doDivides0(all_102_0_172, xp) = v3 & aNaturalNumber0(all_102_0_172) = v0 & aNaturalNumber0(all_0_6_6) = v2 & aNaturalNumber0(xp) = v1 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0))
% 243.36/186.23 |
% 243.36/186.23 | Instantiating formula (98) with xk, all_102_0_172 and discharging atoms doDivides0(all_102_0_172, xk) = 0, yields:
% 243.36/186.23 | (1008) xk = sz00 | ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(all_102_0_172, xk) = v2 & aNaturalNumber0(all_102_0_172) = v0 & aNaturalNumber0(xk) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 243.36/186.23 |
% 243.36/186.23 | Instantiating formula (44) with all_55_7_120, xn, all_0_12_12, xp and discharging atoms doDivides0(xp, all_0_12_12) = 0, doDivides0(xp, xn) = all_55_7_120, yields:
% 243.36/186.23 | (1009) all_55_7_120 = 0 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (doDivides0(all_0_12_12, xn) = v3 & aNaturalNumber0(all_0_12_12) = v1 & aNaturalNumber0(xp) = v0 & aNaturalNumber0(xn) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 243.36/186.23 |
% 243.36/186.23 | Instantiating formula (98) with xn, xp yields:
% 243.36/186.23 | (1010) xn = sz00 | ~ (doDivides0(xp, xn) = 0) | ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(xp, xn) = v2 & aNaturalNumber0(xp) = v0 & aNaturalNumber0(xn) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 243.36/186.23 |
% 243.36/186.23 | Instantiating formula (58) with all_0_10_10, xm, all_0_12_12, xp and discharging atoms sdtlseqdt0(xp, all_0_12_12) = 0, sdtlseqdt0(xp, xm) = all_0_10_10, yields:
% 243.36/186.23 | (1011) all_0_10_10 = 0 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (sdtlseqdt0(all_0_12_12, xm) = v3 & aNaturalNumber0(all_0_12_12) = v1 & aNaturalNumber0(xp) = v0 & aNaturalNumber0(xm) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 243.36/186.23 |
% 243.36/186.23 | Instantiating formula (58) with all_0_11_11, xn, all_0_12_12, xp and discharging atoms sdtlseqdt0(xp, all_0_12_12) = 0, sdtlseqdt0(xp, xn) = all_0_11_11, yields:
% 243.36/186.23 | (1012) all_0_11_11 = 0 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (sdtlseqdt0(all_0_12_12, xn) = v3 & aNaturalNumber0(all_0_12_12) = v1 & aNaturalNumber0(xp) = v0 & aNaturalNumber0(xn) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 243.36/186.23 |
% 243.36/186.23 | Instantiating formula (52) with all_77_0_164, xn, xk and discharging atoms sdtlseqdt0(xk, xn) = all_77_0_164, yields:
% 243.36/186.23 | (1013) all_77_0_164 = 0 | ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(xn, xk) = v2 & aNaturalNumber0(xk) = v0 & aNaturalNumber0(xn) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v2 = 0 & ~ (xk = xn))))
% 243.36/186.23 |
% 243.36/186.23 | Instantiating formula (51) with all_0_12_12, xk, xp, all_0_3_3, xr and discharging atoms sdtasdt0(xr, all_0_3_3) = xk, sdtasdt0(xk, xp) = all_0_12_12, yields:
% 243.36/186.23 | (1014) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(all_0_3_3, xp) = v3 & sdtasdt0(xr, v3) = v4 & aNaturalNumber0(all_0_3_3) = v1 & aNaturalNumber0(xr) = v0 & aNaturalNumber0(xp) = v2 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = all_0_12_12))
% 243.36/186.23 |
% 243.36/186.23 | Instantiating formula (51) with all_0_12_12, xk, xp, xr, all_0_3_3 and discharging atoms sdtasdt0(all_0_3_3, xr) = xk, sdtasdt0(xk, xp) = all_0_12_12, yields:
% 243.36/186.23 | (1015) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(all_0_3_3, v3) = v4 & sdtasdt0(xr, xp) = v3 & aNaturalNumber0(all_0_3_3) = v0 & aNaturalNumber0(xr) = v1 & aNaturalNumber0(xp) = v2 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = all_0_12_12))
% 243.36/186.23 |
% 243.36/186.23 | Instantiating formula (51) with all_0_12_12, xk, xp, all_53_2_109, xr and discharging atoms sdtasdt0(xr, all_53_2_109) = xk, sdtasdt0(xk, xp) = all_0_12_12, yields:
% 243.36/186.23 | (1016) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(all_53_2_109, xp) = v3 & sdtasdt0(xr, v3) = v4 & aNaturalNumber0(all_53_2_109) = v1 & aNaturalNumber0(xr) = v0 & aNaturalNumber0(xp) = v2 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = all_0_12_12))
% 243.36/186.23 |
% 243.36/186.23 | Instantiating formula (76) with all_0_7_7, all_0_12_12, all_0_9_9, all_44_2_80, xm, xp and discharging atoms sdtlseqdt0(all_0_9_9, all_0_12_12) = all_0_7_7, sdtasdt0(xp, all_44_2_80) = all_0_12_12, sdtasdt0(xp, xm) = all_0_9_9, yields:
% 243.36/186.23 | (1017) all_44_2_80 = xm | xp = sz00 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (sdtlseqdt0(v4, v5) = v6 & sdtlseqdt0(xm, all_44_2_80) = v3 & sdtasdt0(all_44_2_80, xp) = v5 & sdtasdt0(xm, xp) = v4 & aNaturalNumber0(all_44_2_80) = v2 & aNaturalNumber0(xp) = v0 & aNaturalNumber0(xm) = v1 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v6 = 0 & all_0_7_7 = 0 & ~ (v5 = v4) & ~ (all_0_9_9 = all_0_12_12))))
% 243.36/186.23 |
% 243.36/186.23 | Instantiating formula (76) with all_0_8_8, all_0_9_9, all_0_12_12, xm, all_44_2_80, xp and discharging atoms sdtlseqdt0(all_0_12_12, all_0_9_9) = all_0_8_8, sdtasdt0(xp, all_44_2_80) = all_0_12_12, sdtasdt0(xp, xm) = all_0_9_9, yields:
% 243.36/186.23 | (1018) all_44_2_80 = xm | xp = sz00 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (sdtlseqdt0(v4, v5) = v6 & sdtlseqdt0(all_44_2_80, xm) = v3 & sdtasdt0(all_44_2_80, xp) = v4 & sdtasdt0(xm, xp) = v5 & aNaturalNumber0(all_44_2_80) = v1 & aNaturalNumber0(xp) = v0 & aNaturalNumber0(xm) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v6 = 0 & all_0_8_8 = 0 & ~ (v5 = v4) & ~ (all_0_9_9 = all_0_12_12))))
% 243.36/186.23 |
% 243.36/186.23 | Instantiating formula (24) with all_44_2_80, xk, all_0_12_12, xp and discharging atoms sdtsldt0(all_0_12_12, xp) = xk, sdtasdt0(xp, all_44_2_80) = all_0_12_12, yields:
% 243.36/186.23 | (1019) all_44_2_80 = xk | xp = sz00 | ? [v0] : ? [v1] : ? [v2] : (( ~ (v0 = 0) & aNaturalNumber0(all_44_2_80) = v0) | (doDivides0(xp, all_0_12_12) = v2 & aNaturalNumber0(all_0_12_12) = v1 & aNaturalNumber0(xp) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))))
% 243.36/186.23 |
% 243.36/186.23 | Instantiating formula (62) with all_0_12_12, all_0_12_12, all_44_2_80, xk, xp and discharging atoms sdtasdt0(xp, all_44_2_80) = all_0_12_12, sdtasdt0(xp, xk) = all_0_12_12, aNaturalNumber0(xp) = 0, yields:
% 243.36/186.23 | (1020) all_44_2_80 = xk | xp = sz00 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (sdtasdt0(all_44_2_80, xp) = v3 & sdtasdt0(xk, xp) = v2 & aNaturalNumber0(all_44_2_80) = v1 & aNaturalNumber0(xk) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 243.36/186.23 |
% 243.36/186.23 | Instantiating formula (19) with all_0_12_12, all_44_2_80, xp and discharging atoms sdtasdt0(xp, all_44_2_80) = all_0_12_12, yields:
% 243.36/186.23 | (1021) ? [v0] : ? [v1] : ? [v2] : (sdtasdt0(all_44_2_80, xp) = v2 & aNaturalNumber0(all_44_2_80) = v1 & aNaturalNumber0(xp) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_0_12_12))
% 243.36/186.23 |
% 243.36/186.23 | Instantiating formula (19) with all_45_10_91, all_0_2_2, xm and discharging atoms sdtasdt0(xm, all_0_2_2) = all_45_10_91, yields:
% 243.36/186.23 | (1022) ? [v0] : ? [v1] : ? [v2] : (sdtasdt0(all_0_2_2, xm) = v2 & aNaturalNumber0(all_0_2_2) = v1 & aNaturalNumber0(xm) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_45_10_91))
% 243.36/186.23 |
% 243.36/186.23 | Instantiating formula (70) with all_45_10_91, all_0_2_2, xm and discharging atoms sdtasdt0(xm, all_0_2_2) = all_45_10_91, yields:
% 243.36/186.23 | (1023) ? [v0] : ? [v1] : ? [v2] : (aNaturalNumber0(all_45_10_91) = v2 & aNaturalNumber0(all_0_2_2) = v1 & aNaturalNumber0(xm) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 243.36/186.23 |
% 243.36/186.23 | Instantiating formula (76) with all_0_8_8, all_0_9_9, all_0_12_12, xp, xn, xm and discharging atoms sdtlseqdt0(all_0_12_12, all_0_9_9) = all_0_8_8, sdtasdt0(xm, xp) = all_0_9_9, sdtasdt0(xm, xn) = all_0_12_12, yields:
% 243.36/186.23 | (1024) xp = xn | xm = sz00 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (sdtlseqdt0(v4, v5) = v6 & sdtlseqdt0(xn, xp) = v3 & sdtasdt0(xp, xm) = v5 & sdtasdt0(xn, xm) = v4 & aNaturalNumber0(xp) = v2 & aNaturalNumber0(xm) = v0 & aNaturalNumber0(xn) = v1 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v6 = 0 & all_0_8_8 = 0 & ~ (v5 = v4) & ~ (all_0_9_9 = all_0_12_12))))
% 243.36/186.23 |
% 243.36/186.23 | Instantiating formula (99) with all_0_12_12, xn yields:
% 243.36/186.23 | (1025) ~ (sdtasdt0(sz00, xn) = all_0_12_12) | ? [v0] : ? [v1] : (sdtasdt0(xn, sz00) = v1 & aNaturalNumber0(xn) = v0 & ( ~ (v0 = 0) | (v1 = sz00 & all_0_12_12 = sz00)))
% 243.36/186.23 |
% 243.36/186.23 | Instantiating formula (19) with all_66_10_155, all_0_1_1, xn and discharging atoms sdtasdt0(xn, all_0_1_1) = all_66_10_155, yields:
% 243.36/186.23 | (1026) ? [v0] : ? [v1] : ? [v2] : (sdtasdt0(all_0_1_1, xn) = v2 & aNaturalNumber0(all_0_1_1) = v1 & aNaturalNumber0(xn) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_66_10_155))
% 243.36/186.23 |
% 243.36/186.23 | Instantiating formula (70) with all_66_10_155, all_0_1_1, xn and discharging atoms sdtasdt0(xn, all_0_1_1) = all_66_10_155, yields:
% 243.36/186.23 | (1027) ? [v0] : ? [v1] : ? [v2] : (aNaturalNumber0(all_66_10_155) = v2 & aNaturalNumber0(all_0_1_1) = v1 & aNaturalNumber0(xn) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 243.36/186.23 |
% 243.36/186.23 | Instantiating formula (111) with all_62_1_138, all_0_6_6, all_0_1_1 and discharging atoms sdtpldt0(all_0_1_1, all_0_6_6) = all_62_1_138, yields:
% 243.36/186.23 | (1028) ? [v0] : ? [v1] : ? [v2] : (sdtpldt0(all_0_6_6, all_0_1_1) = v2 & aNaturalNumber0(all_0_1_1) = v0 & aNaturalNumber0(all_0_6_6) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_62_1_138))
% 243.36/186.23 |
% 243.36/186.23 | Instantiating formula (28) with all_62_1_138, all_0_6_6, all_0_1_1 and discharging atoms sdtpldt0(all_0_1_1, all_0_6_6) = all_62_1_138, yields:
% 243.36/186.23 | (1029) ? [v0] : ? [v1] : ? [v2] : (aNaturalNumber0(all_62_1_138) = v2 & aNaturalNumber0(all_0_1_1) = v0 & aNaturalNumber0(all_0_6_6) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 243.36/186.23 |
% 243.36/186.23 | Instantiating formula (73) with xp, xn, all_0_1_1, all_107_0_173 and discharging atoms doDivides0(all_107_0_173, xp) = 0, sdtpldt0(all_0_1_1, xn) = xp, yields:
% 243.36/186.23 | (1030) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (doDivides0(all_107_0_173, all_0_1_1) = v3 & doDivides0(all_107_0_173, xn) = v4 & aNaturalNumber0(all_107_0_173) = v0 & aNaturalNumber0(all_0_1_1) = v1 & aNaturalNumber0(xn) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0))
% 243.36/186.23 |
% 243.36/186.23 | Instantiating formula (23) with xk, xp, all_0_6_6, xn, all_0_1_1 and discharging atoms sdtpldt0(all_0_1_1, xn) = xp, sdtpldt0(xp, all_0_6_6) = xk, yields:
% 243.36/186.23 | (1031) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (isPrime0(all_0_6_6) = v3 & doDivides0(all_0_6_6, v4) = v5 & doDivides0(all_0_6_6, all_0_1_1) = v7 & doDivides0(all_0_6_6, xn) = v8 & iLess0(xk, all_0_13_13) = v6 & sdtasdt0(all_0_1_1, xn) = v4 & aNaturalNumber0(all_0_1_1) = v0 & aNaturalNumber0(all_0_6_6) = v2 & aNaturalNumber0(xn) = v1 & ( ~ (v6 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v11 = all_0_1_1 & v10 = 0 & v7 = 0 & sdtasdt0(all_0_6_6, v9) = all_0_1_1 & aNaturalNumber0(v9) = 0) | (v11 = xn & v10 = 0 & v8 = 0 & sdtasdt0(all_0_6_6, v9) = xn & aNaturalNumber0(v9) = 0) | ( ~ (v5 = 0) & ! [v15] : ( ~ (sdtasdt0(all_0_6_6, v15) = v4) | ? [v16] : ( ~ (v16 = 0) & aNaturalNumber0(v15) = v16))) | ( ~ (v3 = 0) & (all_0_6_6 = sz10 | all_0_6_6 = sz00 | (v14 = all_0_6_6 & v13 = 0 & v11 = 0 & v10 = 0 & ~ (v9 = all_0_6_6) & ~ (v9 = sz10) & doDivides0(v9, all_0_6_6) = 0 & sdtasdt0(v9, v12) = all_0_6_6 & aNaturalNumber0(v12) = 0 & aNaturalNumber0(v9) = 0)))))
% 243.36/186.23 |
% 243.36/186.23 | Instantiating formula (9) with xk, xp, all_0_6_6, xn, all_0_1_1 and discharging atoms sdtpldt0(all_0_1_1, xn) = xp, sdtpldt0(xp, all_0_6_6) = xk, yields:
% 243.36/186.23 | (1032) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(all_0_1_1, v3) = v4 & sdtpldt0(xn, all_0_6_6) = v3 & aNaturalNumber0(all_0_1_1) = v0 & aNaturalNumber0(all_0_6_6) = v2 & aNaturalNumber0(xn) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = xk))
% 243.36/186.23 |
% 243.36/186.23 | Instantiating formula (111) with all_14_1_25, all_0_6_6, all_0_2_2 and discharging atoms sdtpldt0(all_0_2_2, all_0_6_6) = all_14_1_25, yields:
% 243.36/186.23 | (1033) ? [v0] : ? [v1] : ? [v2] : (sdtpldt0(all_0_6_6, all_0_2_2) = v2 & aNaturalNumber0(all_0_2_2) = v0 & aNaturalNumber0(all_0_6_6) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_14_1_25))
% 243.36/186.23 |
% 243.36/186.23 | Instantiating formula (28) with all_14_1_25, all_0_6_6, all_0_2_2 and discharging atoms sdtpldt0(all_0_2_2, all_0_6_6) = all_14_1_25, yields:
% 243.36/186.23 | (1034) ? [v0] : ? [v1] : ? [v2] : (aNaturalNumber0(all_14_1_25) = v2 & aNaturalNumber0(all_0_2_2) = v0 & aNaturalNumber0(all_0_6_6) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 243.36/186.23 |
% 243.36/186.23 | Instantiating formula (73) with xp, xm, all_0_2_2, all_107_0_173 and discharging atoms doDivides0(all_107_0_173, xp) = 0, sdtpldt0(all_0_2_2, xm) = xp, yields:
% 243.36/186.24 | (1035) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (doDivides0(all_107_0_173, all_0_2_2) = v3 & doDivides0(all_107_0_173, xm) = v4 & aNaturalNumber0(all_107_0_173) = v0 & aNaturalNumber0(all_0_2_2) = v1 & aNaturalNumber0(xm) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0))
% 243.36/186.24 |
% 243.36/186.24 | Instantiating formula (23) with xk, xp, all_0_6_6, xm, all_0_2_2 and discharging atoms sdtpldt0(all_0_2_2, xm) = xp, sdtpldt0(xp, all_0_6_6) = xk, yields:
% 243.36/186.24 | (1036) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (isPrime0(all_0_6_6) = v3 & doDivides0(all_0_6_6, v4) = v5 & doDivides0(all_0_6_6, all_0_2_2) = v7 & doDivides0(all_0_6_6, xm) = v8 & iLess0(xk, all_0_13_13) = v6 & sdtasdt0(all_0_2_2, xm) = v4 & aNaturalNumber0(all_0_2_2) = v0 & aNaturalNumber0(all_0_6_6) = v2 & aNaturalNumber0(xm) = v1 & ( ~ (v6 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v11 = all_0_2_2 & v10 = 0 & v7 = 0 & sdtasdt0(all_0_6_6, v9) = all_0_2_2 & aNaturalNumber0(v9) = 0) | (v11 = xm & v10 = 0 & v8 = 0 & sdtasdt0(all_0_6_6, v9) = xm & aNaturalNumber0(v9) = 0) | ( ~ (v5 = 0) & ! [v15] : ( ~ (sdtasdt0(all_0_6_6, v15) = v4) | ? [v16] : ( ~ (v16 = 0) & aNaturalNumber0(v15) = v16))) | ( ~ (v3 = 0) & (all_0_6_6 = sz10 | all_0_6_6 = sz00 | (v14 = all_0_6_6 & v13 = 0 & v11 = 0 & v10 = 0 & ~ (v9 = all_0_6_6) & ~ (v9 = sz10) & doDivides0(v9, all_0_6_6) = 0 & sdtasdt0(v9, v12) = all_0_6_6 & aNaturalNumber0(v12) = 0 & aNaturalNumber0(v9) = 0)))))
% 243.36/186.24 |
% 243.36/186.24 | Instantiating formula (9) with xk, xp, all_0_6_6, xm, all_0_2_2 and discharging atoms sdtpldt0(all_0_2_2, xm) = xp, sdtpldt0(xp, all_0_6_6) = xk, yields:
% 243.36/186.24 | (1037) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(all_0_2_2, v3) = v4 & sdtpldt0(xm, all_0_6_6) = v3 & aNaturalNumber0(all_0_2_2) = v0 & aNaturalNumber0(all_0_6_6) = v2 & aNaturalNumber0(xm) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = xk))
% 243.36/186.24 |
% 243.36/186.24 | Instantiating formula (73) with xk, xp, all_0_6_6, xr and discharging atoms doDivides0(xr, xk) = 0, sdtpldt0(all_0_6_6, xp) = xk, yields:
% 243.36/186.24 | (1038) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (doDivides0(xr, all_0_6_6) = v3 & doDivides0(xr, xp) = v4 & aNaturalNumber0(all_0_6_6) = v1 & aNaturalNumber0(xr) = v0 & aNaturalNumber0(xp) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0))
% 243.36/186.24 |
% 243.36/186.24 | Instantiating formula (73) with xk, xp, all_0_6_6, all_307_0_174 and discharging atoms doDivides0(all_307_0_174, xk) = 0, sdtpldt0(all_0_6_6, xp) = xk, yields:
% 243.36/186.24 | (1039) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (doDivides0(all_307_0_174, all_0_6_6) = v3 & doDivides0(all_307_0_174, xp) = v4 & aNaturalNumber0(all_307_0_174) = v0 & aNaturalNumber0(all_0_6_6) = v1 & aNaturalNumber0(xp) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0))
% 243.36/186.24 |
% 243.36/186.24 | Instantiating formula (73) with xk, xp, all_0_6_6, all_102_0_172 and discharging atoms doDivides0(all_102_0_172, xk) = 0, sdtpldt0(all_0_6_6, xp) = xk, yields:
% 243.36/186.24 | (1040) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (doDivides0(all_102_0_172, all_0_6_6) = v3 & doDivides0(all_102_0_172, xp) = v4 & aNaturalNumber0(all_102_0_172) = v0 & aNaturalNumber0(all_0_6_6) = v1 & aNaturalNumber0(xp) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0))
% 243.36/186.24 |
% 243.36/186.24 | Instantiating formula (73) with xk, all_43_2_77, xp, xr and discharging atoms doDivides0(xr, xk) = 0, sdtpldt0(xp, all_43_2_77) = xk, yields:
% 243.36/186.24 | (1041) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (doDivides0(xr, all_43_2_77) = v4 & doDivides0(xr, xp) = v3 & aNaturalNumber0(all_43_2_77) = v2 & aNaturalNumber0(xr) = v0 & aNaturalNumber0(xp) = v1 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0))
% 243.36/186.24 |
% 243.36/186.24 | Instantiating formula (73) with xk, all_43_2_77, xp, all_307_0_174 and discharging atoms doDivides0(all_307_0_174, xk) = 0, sdtpldt0(xp, all_43_2_77) = xk, yields:
% 243.36/186.24 | (1042) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (doDivides0(all_307_0_174, all_43_2_77) = v4 & doDivides0(all_307_0_174, xp) = v3 & aNaturalNumber0(all_307_0_174) = v0 & aNaturalNumber0(all_43_2_77) = v2 & aNaturalNumber0(xp) = v1 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0))
% 243.36/186.24 |
% 243.36/186.24 | Instantiating formula (73) with xk, all_43_2_77, xp, all_102_0_172 and discharging atoms doDivides0(all_102_0_172, xk) = 0, sdtpldt0(xp, all_43_2_77) = xk, yields:
% 243.36/186.24 | (1043) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (doDivides0(all_102_0_172, all_43_2_77) = v4 & doDivides0(all_102_0_172, xp) = v3 & aNaturalNumber0(all_102_0_172) = v0 & aNaturalNumber0(all_43_2_77) = v2 & aNaturalNumber0(xp) = v1 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0))
% 243.36/186.24 |
% 243.36/186.24 | Instantiating formula (23) with xk, xp, all_43_2_77, all_0_2_2, xm and discharging atoms sdtpldt0(xp, all_43_2_77) = xk, sdtpldt0(xm, all_0_2_2) = xp, yields:
% 243.36/186.24 | (1044) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (isPrime0(all_43_2_77) = v3 & doDivides0(all_43_2_77, v4) = v5 & doDivides0(all_43_2_77, all_0_2_2) = v8 & doDivides0(all_43_2_77, xm) = v7 & iLess0(xk, all_0_13_13) = v6 & sdtasdt0(xm, all_0_2_2) = v4 & aNaturalNumber0(all_43_2_77) = v2 & aNaturalNumber0(all_0_2_2) = v1 & aNaturalNumber0(xm) = v0 & ( ~ (v6 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v11 = all_0_2_2 & v10 = 0 & v8 = 0 & sdtasdt0(all_43_2_77, v9) = all_0_2_2 & aNaturalNumber0(v9) = 0) | (v11 = xm & v10 = 0 & v7 = 0 & sdtasdt0(all_43_2_77, v9) = xm & aNaturalNumber0(v9) = 0) | ( ~ (v5 = 0) & ! [v15] : ( ~ (sdtasdt0(all_43_2_77, v15) = v4) | ? [v16] : ( ~ (v16 = 0) & aNaturalNumber0(v15) = v16))) | ( ~ (v3 = 0) & (all_43_2_77 = sz10 | all_43_2_77 = sz00 | (v14 = all_43_2_77 & v13 = 0 & v11 = 0 & v10 = 0 & ~ (v9 = all_43_2_77) & ~ (v9 = sz10) & doDivides0(v9, all_43_2_77) = 0 & sdtasdt0(v9, v12) = all_43_2_77 & aNaturalNumber0(v12) = 0 & aNaturalNumber0(v9) = 0)))))
% 243.36/186.24 |
% 243.36/186.24 | Instantiating formula (9) with xk, xp, all_43_2_77, all_0_2_2, xm and discharging atoms sdtpldt0(xp, all_43_2_77) = xk, sdtpldt0(xm, all_0_2_2) = xp, yields:
% 243.36/186.24 | (1045) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(all_0_2_2, all_43_2_77) = v3 & sdtpldt0(xm, v3) = v4 & aNaturalNumber0(all_43_2_77) = v2 & aNaturalNumber0(all_0_2_2) = v1 & aNaturalNumber0(xm) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = xk))
% 243.36/186.24 |
% 243.36/186.24 | Instantiating formula (23) with xk, xp, all_43_2_77, all_0_1_1, xn and discharging atoms sdtpldt0(xp, all_43_2_77) = xk, sdtpldt0(xn, all_0_1_1) = xp, yields:
% 243.36/186.24 | (1046) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (isPrime0(all_43_2_77) = v3 & doDivides0(all_43_2_77, v4) = v5 & doDivides0(all_43_2_77, all_0_1_1) = v8 & doDivides0(all_43_2_77, xn) = v7 & iLess0(xk, all_0_13_13) = v6 & sdtasdt0(xn, all_0_1_1) = v4 & aNaturalNumber0(all_43_2_77) = v2 & aNaturalNumber0(all_0_1_1) = v1 & aNaturalNumber0(xn) = v0 & ( ~ (v6 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v11 = all_0_1_1 & v10 = 0 & v8 = 0 & sdtasdt0(all_43_2_77, v9) = all_0_1_1 & aNaturalNumber0(v9) = 0) | (v11 = xn & v10 = 0 & v7 = 0 & sdtasdt0(all_43_2_77, v9) = xn & aNaturalNumber0(v9) = 0) | ( ~ (v5 = 0) & ! [v15] : ( ~ (sdtasdt0(all_43_2_77, v15) = v4) | ? [v16] : ( ~ (v16 = 0) & aNaturalNumber0(v15) = v16))) | ( ~ (v3 = 0) & (all_43_2_77 = sz10 | all_43_2_77 = sz00 | (v14 = all_43_2_77 & v13 = 0 & v11 = 0 & v10 = 0 & ~ (v9 = all_43_2_77) & ~ (v9 = sz10) & doDivides0(v9, all_43_2_77) = 0 & sdtasdt0(v9, v12) = all_43_2_77 & aNaturalNumber0(v12) = 0 & aNaturalNumber0(v9) = 0)))))
% 243.36/186.24 |
% 243.36/186.24 | Instantiating formula (9) with xk, xp, all_43_2_77, all_0_1_1, xn and discharging atoms sdtpldt0(xp, all_43_2_77) = xk, sdtpldt0(xn, all_0_1_1) = xp, yields:
% 243.36/186.24 | (1047) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(all_0_1_1, all_43_2_77) = v3 & sdtpldt0(xn, v3) = v4 & aNaturalNumber0(all_43_2_77) = v2 & aNaturalNumber0(all_0_1_1) = v1 & aNaturalNumber0(xn) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = xk))
% 243.36/186.24 |
% 243.36/186.24 | Instantiating formula (23) with xk, xp, all_43_2_77, xn, all_0_1_1 and discharging atoms sdtpldt0(all_0_1_1, xn) = xp, sdtpldt0(xp, all_43_2_77) = xk, yields:
% 243.36/186.24 | (1048) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (isPrime0(all_43_2_77) = v3 & doDivides0(all_43_2_77, v4) = v5 & doDivides0(all_43_2_77, all_0_1_1) = v7 & doDivides0(all_43_2_77, xn) = v8 & iLess0(xk, all_0_13_13) = v6 & sdtasdt0(all_0_1_1, xn) = v4 & aNaturalNumber0(all_43_2_77) = v2 & aNaturalNumber0(all_0_1_1) = v0 & aNaturalNumber0(xn) = v1 & ( ~ (v6 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v11 = all_0_1_1 & v10 = 0 & v7 = 0 & sdtasdt0(all_43_2_77, v9) = all_0_1_1 & aNaturalNumber0(v9) = 0) | (v11 = xn & v10 = 0 & v8 = 0 & sdtasdt0(all_43_2_77, v9) = xn & aNaturalNumber0(v9) = 0) | ( ~ (v5 = 0) & ! [v15] : ( ~ (sdtasdt0(all_43_2_77, v15) = v4) | ? [v16] : ( ~ (v16 = 0) & aNaturalNumber0(v15) = v16))) | ( ~ (v3 = 0) & (all_43_2_77 = sz10 | all_43_2_77 = sz00 | (v14 = all_43_2_77 & v13 = 0 & v11 = 0 & v10 = 0 & ~ (v9 = all_43_2_77) & ~ (v9 = sz10) & doDivides0(v9, all_43_2_77) = 0 & sdtasdt0(v9, v12) = all_43_2_77 & aNaturalNumber0(v12) = 0 & aNaturalNumber0(v9) = 0)))))
% 243.36/186.24 |
% 243.36/186.24 | Instantiating formula (9) with xk, xp, all_43_2_77, xn, all_0_1_1 and discharging atoms sdtpldt0(all_0_1_1, xn) = xp, sdtpldt0(xp, all_43_2_77) = xk, yields:
% 243.36/186.24 | (1049) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(all_0_1_1, v3) = v4 & sdtpldt0(xn, all_43_2_77) = v3 & aNaturalNumber0(all_43_2_77) = v2 & aNaturalNumber0(all_0_1_1) = v0 & aNaturalNumber0(xn) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = xk))
% 243.36/186.24 |
% 243.36/186.24 | Instantiating formula (23) with xk, xp, all_43_2_77, xm, all_0_2_2 and discharging atoms sdtpldt0(all_0_2_2, xm) = xp, sdtpldt0(xp, all_43_2_77) = xk, yields:
% 243.36/186.24 | (1050) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (isPrime0(all_43_2_77) = v3 & doDivides0(all_43_2_77, v4) = v5 & doDivides0(all_43_2_77, all_0_2_2) = v7 & doDivides0(all_43_2_77, xm) = v8 & iLess0(xk, all_0_13_13) = v6 & sdtasdt0(all_0_2_2, xm) = v4 & aNaturalNumber0(all_43_2_77) = v2 & aNaturalNumber0(all_0_2_2) = v0 & aNaturalNumber0(xm) = v1 & ( ~ (v6 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v11 = all_0_2_2 & v10 = 0 & v7 = 0 & sdtasdt0(all_43_2_77, v9) = all_0_2_2 & aNaturalNumber0(v9) = 0) | (v11 = xm & v10 = 0 & v8 = 0 & sdtasdt0(all_43_2_77, v9) = xm & aNaturalNumber0(v9) = 0) | ( ~ (v5 = 0) & ! [v15] : ( ~ (sdtasdt0(all_43_2_77, v15) = v4) | ? [v16] : ( ~ (v16 = 0) & aNaturalNumber0(v15) = v16))) | ( ~ (v3 = 0) & (all_43_2_77 = sz10 | all_43_2_77 = sz00 | (v14 = all_43_2_77 & v13 = 0 & v11 = 0 & v10 = 0 & ~ (v9 = all_43_2_77) & ~ (v9 = sz10) & doDivides0(v9, all_43_2_77) = 0 & sdtasdt0(v9, v12) = all_43_2_77 & aNaturalNumber0(v12) = 0 & aNaturalNumber0(v9) = 0)))))
% 243.36/186.24 |
% 243.36/186.24 | Instantiating formula (9) with xk, xp, all_43_2_77, xm, all_0_2_2 and discharging atoms sdtpldt0(all_0_2_2, xm) = xp, sdtpldt0(xp, all_43_2_77) = xk, yields:
% 243.36/186.24 | (1051) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(all_0_2_2, v3) = v4 & sdtpldt0(xm, all_43_2_77) = v3 & aNaturalNumber0(all_43_2_77) = v2 & aNaturalNumber0(all_0_2_2) = v0 & aNaturalNumber0(xm) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = xk))
% 243.36/186.24 |
% 243.36/186.24 | Instantiating formula (111) with xk, all_43_2_77, xp and discharging atoms sdtpldt0(xp, all_43_2_77) = xk, yields:
% 243.36/186.24 | (1052) ? [v0] : ? [v1] : ? [v2] : (sdtpldt0(all_43_2_77, xp) = v2 & aNaturalNumber0(all_43_2_77) = v1 & aNaturalNumber0(xp) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = xk))
% 243.36/186.24 |
% 243.36/186.24 | Instantiating formula (23) with all_0_13_13, xp, all_0_14_14, all_0_2_2, xm and discharging atoms sdtpldt0(xp, all_0_14_14) = all_0_13_13, sdtpldt0(xm, all_0_2_2) = xp, yields:
% 243.36/186.24 | (1053) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (isPrime0(all_0_14_14) = v3 & doDivides0(all_0_14_14, v4) = v5 & doDivides0(all_0_14_14, all_0_2_2) = v8 & doDivides0(all_0_14_14, xm) = v7 & iLess0(all_0_13_13, all_0_13_13) = v6 & sdtasdt0(xm, all_0_2_2) = v4 & aNaturalNumber0(all_0_2_2) = v1 & aNaturalNumber0(all_0_14_14) = v2 & aNaturalNumber0(xm) = v0 & ( ~ (v6 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v11 = all_0_2_2 & v10 = 0 & v8 = 0 & sdtasdt0(all_0_14_14, v9) = all_0_2_2 & aNaturalNumber0(v9) = 0) | (v11 = xm & v10 = 0 & v7 = 0 & sdtasdt0(all_0_14_14, v9) = xm & aNaturalNumber0(v9) = 0) | ( ~ (v5 = 0) & ! [v15] : ( ~ (sdtasdt0(all_0_14_14, v15) = v4) | ? [v16] : ( ~ (v16 = 0) & aNaturalNumber0(v15) = v16))) | ( ~ (v3 = 0) & (all_0_14_14 = sz10 | all_0_14_14 = sz00 | (v14 = all_0_14_14 & v13 = 0 & v11 = 0 & v10 = 0 & ~ (v9 = all_0_14_14) & ~ (v9 = sz10) & doDivides0(v9, all_0_14_14) = 0 & sdtasdt0(v9, v12) = all_0_14_14 & aNaturalNumber0(v12) = 0 & aNaturalNumber0(v9) = 0)))))
% 243.36/186.24 |
% 243.36/186.24 | Instantiating formula (9) with all_0_13_13, xp, all_0_14_14, all_0_2_2, xm and discharging atoms sdtpldt0(xp, all_0_14_14) = all_0_13_13, sdtpldt0(xm, all_0_2_2) = xp, yields:
% 243.36/186.24 | (1054) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(all_0_2_2, all_0_14_14) = v3 & sdtpldt0(xm, v3) = v4 & aNaturalNumber0(all_0_2_2) = v1 & aNaturalNumber0(all_0_14_14) = v2 & aNaturalNumber0(xm) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = all_0_13_13))
% 243.36/186.24 |
% 243.36/186.24 | Instantiating formula (23) with all_0_13_13, xp, all_0_14_14, all_0_1_1, xn and discharging atoms sdtpldt0(xp, all_0_14_14) = all_0_13_13, sdtpldt0(xn, all_0_1_1) = xp, yields:
% 243.36/186.24 | (1055) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (isPrime0(all_0_14_14) = v3 & doDivides0(all_0_14_14, v4) = v5 & doDivides0(all_0_14_14, all_0_1_1) = v8 & doDivides0(all_0_14_14, xn) = v7 & iLess0(all_0_13_13, all_0_13_13) = v6 & sdtasdt0(xn, all_0_1_1) = v4 & aNaturalNumber0(all_0_1_1) = v1 & aNaturalNumber0(all_0_14_14) = v2 & aNaturalNumber0(xn) = v0 & ( ~ (v6 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v11 = all_0_1_1 & v10 = 0 & v8 = 0 & sdtasdt0(all_0_14_14, v9) = all_0_1_1 & aNaturalNumber0(v9) = 0) | (v11 = xn & v10 = 0 & v7 = 0 & sdtasdt0(all_0_14_14, v9) = xn & aNaturalNumber0(v9) = 0) | ( ~ (v5 = 0) & ! [v15] : ( ~ (sdtasdt0(all_0_14_14, v15) = v4) | ? [v16] : ( ~ (v16 = 0) & aNaturalNumber0(v15) = v16))) | ( ~ (v3 = 0) & (all_0_14_14 = sz10 | all_0_14_14 = sz00 | (v14 = all_0_14_14 & v13 = 0 & v11 = 0 & v10 = 0 & ~ (v9 = all_0_14_14) & ~ (v9 = sz10) & doDivides0(v9, all_0_14_14) = 0 & sdtasdt0(v9, v12) = all_0_14_14 & aNaturalNumber0(v12) = 0 & aNaturalNumber0(v9) = 0)))))
% 243.36/186.24 |
% 243.36/186.24 | Instantiating formula (9) with all_0_13_13, xp, all_0_14_14, all_0_1_1, xn and discharging atoms sdtpldt0(xp, all_0_14_14) = all_0_13_13, sdtpldt0(xn, all_0_1_1) = xp, yields:
% 243.36/186.24 | (1056) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(all_0_1_1, all_0_14_14) = v3 & sdtpldt0(xn, v3) = v4 & aNaturalNumber0(all_0_1_1) = v1 & aNaturalNumber0(all_0_14_14) = v2 & aNaturalNumber0(xn) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = all_0_13_13))
% 243.36/186.24 |
% 243.36/186.24 | Instantiating formula (23) with all_0_13_13, xp, all_0_14_14, xn, all_0_1_1 and discharging atoms sdtpldt0(all_0_1_1, xn) = xp, sdtpldt0(xp, all_0_14_14) = all_0_13_13, yields:
% 243.36/186.24 | (1057) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (isPrime0(all_0_14_14) = v3 & doDivides0(all_0_14_14, v4) = v5 & doDivides0(all_0_14_14, all_0_1_1) = v7 & doDivides0(all_0_14_14, xn) = v8 & iLess0(all_0_13_13, all_0_13_13) = v6 & sdtasdt0(all_0_1_1, xn) = v4 & aNaturalNumber0(all_0_1_1) = v0 & aNaturalNumber0(all_0_14_14) = v2 & aNaturalNumber0(xn) = v1 & ( ~ (v6 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v11 = all_0_1_1 & v10 = 0 & v7 = 0 & sdtasdt0(all_0_14_14, v9) = all_0_1_1 & aNaturalNumber0(v9) = 0) | (v11 = xn & v10 = 0 & v8 = 0 & sdtasdt0(all_0_14_14, v9) = xn & aNaturalNumber0(v9) = 0) | ( ~ (v5 = 0) & ! [v15] : ( ~ (sdtasdt0(all_0_14_14, v15) = v4) | ? [v16] : ( ~ (v16 = 0) & aNaturalNumber0(v15) = v16))) | ( ~ (v3 = 0) & (all_0_14_14 = sz10 | all_0_14_14 = sz00 | (v14 = all_0_14_14 & v13 = 0 & v11 = 0 & v10 = 0 & ~ (v9 = all_0_14_14) & ~ (v9 = sz10) & doDivides0(v9, all_0_14_14) = 0 & sdtasdt0(v9, v12) = all_0_14_14 & aNaturalNumber0(v12) = 0 & aNaturalNumber0(v9) = 0)))))
% 243.36/186.24 |
% 243.36/186.24 | Instantiating formula (9) with all_0_13_13, xp, all_0_14_14, xn, all_0_1_1 and discharging atoms sdtpldt0(all_0_1_1, xn) = xp, sdtpldt0(xp, all_0_14_14) = all_0_13_13, yields:
% 243.36/186.24 | (1058) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(all_0_1_1, v3) = v4 & sdtpldt0(xn, all_0_14_14) = v3 & aNaturalNumber0(all_0_1_1) = v0 & aNaturalNumber0(all_0_14_14) = v2 & aNaturalNumber0(xn) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = all_0_13_13))
% 243.36/186.24 |
% 243.36/186.24 | Instantiating formula (23) with all_0_13_13, xp, all_0_14_14, xm, all_0_2_2 and discharging atoms sdtpldt0(all_0_2_2, xm) = xp, sdtpldt0(xp, all_0_14_14) = all_0_13_13, yields:
% 243.36/186.24 | (1059) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (isPrime0(all_0_14_14) = v3 & doDivides0(all_0_14_14, v4) = v5 & doDivides0(all_0_14_14, all_0_2_2) = v7 & doDivides0(all_0_14_14, xm) = v8 & iLess0(all_0_13_13, all_0_13_13) = v6 & sdtasdt0(all_0_2_2, xm) = v4 & aNaturalNumber0(all_0_2_2) = v0 & aNaturalNumber0(all_0_14_14) = v2 & aNaturalNumber0(xm) = v1 & ( ~ (v6 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v11 = all_0_2_2 & v10 = 0 & v7 = 0 & sdtasdt0(all_0_14_14, v9) = all_0_2_2 & aNaturalNumber0(v9) = 0) | (v11 = xm & v10 = 0 & v8 = 0 & sdtasdt0(all_0_14_14, v9) = xm & aNaturalNumber0(v9) = 0) | ( ~ (v5 = 0) & ! [v15] : ( ~ (sdtasdt0(all_0_14_14, v15) = v4) | ? [v16] : ( ~ (v16 = 0) & aNaturalNumber0(v15) = v16))) | ( ~ (v3 = 0) & (all_0_14_14 = sz10 | all_0_14_14 = sz00 | (v14 = all_0_14_14 & v13 = 0 & v11 = 0 & v10 = 0 & ~ (v9 = all_0_14_14) & ~ (v9 = sz10) & doDivides0(v9, all_0_14_14) = 0 & sdtasdt0(v9, v12) = all_0_14_14 & aNaturalNumber0(v12) = 0 & aNaturalNumber0(v9) = 0)))))
% 243.36/186.24 |
% 243.36/186.24 | Instantiating formula (9) with all_0_13_13, xp, all_0_14_14, xm, all_0_2_2 and discharging atoms sdtpldt0(all_0_2_2, xm) = xp, sdtpldt0(xp, all_0_14_14) = all_0_13_13, yields:
% 243.36/186.24 | (1060) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(all_0_2_2, v3) = v4 & sdtpldt0(xm, all_0_14_14) = v3 & aNaturalNumber0(all_0_2_2) = v0 & aNaturalNumber0(all_0_14_14) = v2 & aNaturalNumber0(xm) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = all_0_13_13))
% 243.36/186.24 |
% 243.36/186.24 | Instantiating formula (73) with xp, all_57_2_130, xm, all_107_0_173 and discharging atoms doDivides0(all_107_0_173, xp) = 0, sdtpldt0(xm, all_57_2_130) = xp, yields:
% 243.36/186.25 | (1061) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (doDivides0(all_107_0_173, all_57_2_130) = v4 & doDivides0(all_107_0_173, xm) = v3 & aNaturalNumber0(all_107_0_173) = v0 & aNaturalNumber0(all_57_2_130) = v2 & aNaturalNumber0(xm) = v1 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0))
% 243.36/186.25 |
% 243.36/186.25 | Instantiating formula (23) with xk, xp, all_0_6_6, all_57_2_130, xm and discharging atoms sdtpldt0(xp, all_0_6_6) = xk, sdtpldt0(xm, all_57_2_130) = xp, yields:
% 243.36/186.25 | (1062) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (isPrime0(all_0_6_6) = v3 & doDivides0(all_0_6_6, v4) = v5 & doDivides0(all_0_6_6, all_57_2_130) = v8 & doDivides0(all_0_6_6, xm) = v7 & iLess0(xk, all_0_13_13) = v6 & sdtasdt0(xm, all_57_2_130) = v4 & aNaturalNumber0(all_57_2_130) = v1 & aNaturalNumber0(all_0_6_6) = v2 & aNaturalNumber0(xm) = v0 & ( ~ (v6 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v11 = all_57_2_130 & v10 = 0 & v8 = 0 & sdtasdt0(all_0_6_6, v9) = all_57_2_130 & aNaturalNumber0(v9) = 0) | (v11 = xm & v10 = 0 & v7 = 0 & sdtasdt0(all_0_6_6, v9) = xm & aNaturalNumber0(v9) = 0) | ( ~ (v5 = 0) & ! [v15] : ( ~ (sdtasdt0(all_0_6_6, v15) = v4) | ? [v16] : ( ~ (v16 = 0) & aNaturalNumber0(v15) = v16))) | ( ~ (v3 = 0) & (all_0_6_6 = sz10 | all_0_6_6 = sz00 | (v14 = all_0_6_6 & v13 = 0 & v11 = 0 & v10 = 0 & ~ (v9 = all_0_6_6) & ~ (v9 = sz10) & doDivides0(v9, all_0_6_6) = 0 & sdtasdt0(v9, v12) = all_0_6_6 & aNaturalNumber0(v12) = 0 & aNaturalNumber0(v9) = 0)))))
% 243.36/186.25 |
% 243.36/186.25 | Instantiating formula (9) with xk, xp, all_0_6_6, all_57_2_130, xm and discharging atoms sdtpldt0(xp, all_0_6_6) = xk, sdtpldt0(xm, all_57_2_130) = xp, yields:
% 243.36/186.25 | (1063) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(all_57_2_130, all_0_6_6) = v3 & sdtpldt0(xm, v3) = v4 & aNaturalNumber0(all_57_2_130) = v1 & aNaturalNumber0(all_0_6_6) = v2 & aNaturalNumber0(xm) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = xk))
% 243.36/186.25 |
% 243.36/186.25 | Instantiating formula (23) with xk, xp, all_43_2_77, all_57_2_130, xm and discharging atoms sdtpldt0(xp, all_43_2_77) = xk, sdtpldt0(xm, all_57_2_130) = xp, yields:
% 243.36/186.25 | (1064) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (isPrime0(all_43_2_77) = v3 & doDivides0(all_43_2_77, v4) = v5 & doDivides0(all_43_2_77, all_57_2_130) = v8 & doDivides0(all_43_2_77, xm) = v7 & iLess0(xk, all_0_13_13) = v6 & sdtasdt0(xm, all_57_2_130) = v4 & aNaturalNumber0(all_57_2_130) = v1 & aNaturalNumber0(all_43_2_77) = v2 & aNaturalNumber0(xm) = v0 & ( ~ (v6 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v11 = all_57_2_130 & v10 = 0 & v8 = 0 & sdtasdt0(all_43_2_77, v9) = all_57_2_130 & aNaturalNumber0(v9) = 0) | (v11 = xm & v10 = 0 & v7 = 0 & sdtasdt0(all_43_2_77, v9) = xm & aNaturalNumber0(v9) = 0) | ( ~ (v5 = 0) & ! [v15] : ( ~ (sdtasdt0(all_43_2_77, v15) = v4) | ? [v16] : ( ~ (v16 = 0) & aNaturalNumber0(v15) = v16))) | ( ~ (v3 = 0) & (all_43_2_77 = sz10 | all_43_2_77 = sz00 | (v14 = all_43_2_77 & v13 = 0 & v11 = 0 & v10 = 0 & ~ (v9 = all_43_2_77) & ~ (v9 = sz10) & doDivides0(v9, all_43_2_77) = 0 & sdtasdt0(v9, v12) = all_43_2_77 & aNaturalNumber0(v12) = 0 & aNaturalNumber0(v9) = 0)))))
% 243.36/186.25 |
% 243.36/186.25 | Instantiating formula (9) with xk, xp, all_43_2_77, all_57_2_130, xm and discharging atoms sdtpldt0(xp, all_43_2_77) = xk, sdtpldt0(xm, all_57_2_130) = xp, yields:
% 243.36/186.25 | (1065) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(all_57_2_130, all_43_2_77) = v3 & sdtpldt0(xm, v3) = v4 & aNaturalNumber0(all_57_2_130) = v1 & aNaturalNumber0(all_43_2_77) = v2 & aNaturalNumber0(xm) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = xk))
% 243.36/186.25 |
% 243.36/186.25 | Instantiating formula (23) with all_0_13_13, xp, all_0_14_14, all_57_2_130, xm and discharging atoms sdtpldt0(xp, all_0_14_14) = all_0_13_13, sdtpldt0(xm, all_57_2_130) = xp, yields:
% 243.36/186.25 | (1066) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (isPrime0(all_0_14_14) = v3 & doDivides0(all_0_14_14, v4) = v5 & doDivides0(all_0_14_14, all_57_2_130) = v8 & doDivides0(all_0_14_14, xm) = v7 & iLess0(all_0_13_13, all_0_13_13) = v6 & sdtasdt0(xm, all_57_2_130) = v4 & aNaturalNumber0(all_57_2_130) = v1 & aNaturalNumber0(all_0_14_14) = v2 & aNaturalNumber0(xm) = v0 & ( ~ (v6 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v11 = all_57_2_130 & v10 = 0 & v8 = 0 & sdtasdt0(all_0_14_14, v9) = all_57_2_130 & aNaturalNumber0(v9) = 0) | (v11 = xm & v10 = 0 & v7 = 0 & sdtasdt0(all_0_14_14, v9) = xm & aNaturalNumber0(v9) = 0) | ( ~ (v5 = 0) & ! [v15] : ( ~ (sdtasdt0(all_0_14_14, v15) = v4) | ? [v16] : ( ~ (v16 = 0) & aNaturalNumber0(v15) = v16))) | ( ~ (v3 = 0) & (all_0_14_14 = sz10 | all_0_14_14 = sz00 | (v14 = all_0_14_14 & v13 = 0 & v11 = 0 & v10 = 0 & ~ (v9 = all_0_14_14) & ~ (v9 = sz10) & doDivides0(v9, all_0_14_14) = 0 & sdtasdt0(v9, v12) = all_0_14_14 & aNaturalNumber0(v12) = 0 & aNaturalNumber0(v9) = 0)))))
% 243.36/186.25 |
% 243.36/186.25 | Instantiating formula (9) with all_0_13_13, xp, all_0_14_14, all_57_2_130, xm and discharging atoms sdtpldt0(xp, all_0_14_14) = all_0_13_13, sdtpldt0(xm, all_57_2_130) = xp, yields:
% 243.36/186.25 | (1067) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(all_57_2_130, all_0_14_14) = v3 & sdtpldt0(xm, v3) = v4 & aNaturalNumber0(all_57_2_130) = v1 & aNaturalNumber0(all_0_14_14) = v2 & aNaturalNumber0(xm) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = all_0_13_13))
% 243.36/186.25 |
% 243.36/186.25 | Instantiating formula (111) with xp, all_57_2_130, xm and discharging atoms sdtpldt0(xm, all_57_2_130) = xp, yields:
% 243.36/186.25 | (1068) ? [v0] : ? [v1] : ? [v2] : (sdtpldt0(all_57_2_130, xm) = v2 & aNaturalNumber0(all_57_2_130) = v1 & aNaturalNumber0(xm) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = xp))
% 243.36/186.25 |
% 243.36/186.25 | Instantiating formula (92) with all_14_1_25, all_396_3_188, xk, xm and discharging atoms sdtlseqdt0(xm, xk) = all_396_3_188, sdtpldt0(xm, all_14_1_25) = xk, yields:
% 243.36/186.25 | (1069) all_396_3_188 = 0 | ? [v0] : ? [v1] : (( ~ (v0 = 0) & aNaturalNumber0(all_14_1_25) = v0) | (aNaturalNumber0(xk) = v1 & aNaturalNumber0(xm) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))))
% 243.36/186.25 |
% 243.36/186.25 | Instantiating formula (73) with xk, all_14_1_25, xm, xr and discharging atoms doDivides0(xr, xk) = 0, sdtpldt0(xm, all_14_1_25) = xk, yields:
% 243.36/186.25 | (1070) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (doDivides0(xr, all_14_1_25) = v4 & doDivides0(xr, xm) = v3 & aNaturalNumber0(all_14_1_25) = v2 & aNaturalNumber0(xr) = v0 & aNaturalNumber0(xm) = v1 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0))
% 243.36/186.25 |
% 243.36/186.25 | Instantiating formula (73) with xk, all_14_1_25, xm, all_307_0_174 and discharging atoms doDivides0(all_307_0_174, xk) = 0, sdtpldt0(xm, all_14_1_25) = xk, yields:
% 243.36/186.25 | (1071) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (doDivides0(all_307_0_174, all_14_1_25) = v4 & doDivides0(all_307_0_174, xm) = v3 & aNaturalNumber0(all_307_0_174) = v0 & aNaturalNumber0(all_14_1_25) = v2 & aNaturalNumber0(xm) = v1 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0))
% 243.36/186.25 |
% 243.36/186.25 | Instantiating formula (73) with xk, all_14_1_25, xm, all_102_0_172 and discharging atoms doDivides0(all_102_0_172, xk) = 0, sdtpldt0(xm, all_14_1_25) = xk, yields:
% 243.36/186.25 | (1072) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (doDivides0(all_102_0_172, all_14_1_25) = v4 & doDivides0(all_102_0_172, xm) = v3 & aNaturalNumber0(all_102_0_172) = v0 & aNaturalNumber0(all_14_1_25) = v2 & aNaturalNumber0(xm) = v1 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0))
% 243.36/186.25 |
% 243.36/186.25 | Instantiating formula (111) with xk, all_14_1_25, xm and discharging atoms sdtpldt0(xm, all_14_1_25) = xk, yields:
% 243.36/186.25 | (1073) ? [v0] : ? [v1] : ? [v2] : (sdtpldt0(all_14_1_25, xm) = v2 & aNaturalNumber0(all_14_1_25) = v1 & aNaturalNumber0(xm) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = xk))
% 243.36/186.25 |
% 243.36/186.25 | Instantiating formula (28) with xk, all_14_1_25, xm and discharging atoms sdtpldt0(xm, all_14_1_25) = xk, yields:
% 243.36/186.25 | (1074) ? [v0] : ? [v1] : ? [v2] : (aNaturalNumber0(all_14_1_25) = v1 & aNaturalNumber0(xk) = v2 & aNaturalNumber0(xm) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 243.36/186.25 |
% 243.36/186.25 | Instantiating formula (111) with all_49_1_100, xp, xm and discharging atoms sdtpldt0(xm, xp) = all_49_1_100, yields:
% 243.36/186.25 | (1075) ? [v0] : ? [v1] : ? [v2] : (sdtpldt0(xp, xm) = v2 & aNaturalNumber0(xp) = v1 & aNaturalNumber0(xm) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_49_1_100))
% 243.36/186.25 |
% 243.36/186.25 | Instantiating formula (28) with all_49_1_100, xp, xm and discharging atoms sdtpldt0(xm, xp) = all_49_1_100, yields:
% 243.36/186.25 | (1076) ? [v0] : ? [v1] : ? [v2] : (aNaturalNumber0(all_49_1_100) = v2 & aNaturalNumber0(xp) = v1 & aNaturalNumber0(xm) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 243.36/186.25 |
% 243.36/186.25 | Instantiating formula (23) with all_0_13_13, all_0_14_14, xp, xn, xm and discharging atoms sdtpldt0(all_0_14_14, xp) = all_0_13_13, sdtpldt0(xm, xn) = all_0_14_14, yields:
% 243.36/186.25 | (1077) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (isPrime0(xp) = v3 & doDivides0(xp, v4) = v5 & doDivides0(xp, xm) = v7 & doDivides0(xp, xn) = v8 & iLess0(all_0_13_13, all_0_13_13) = v6 & sdtasdt0(xm, xn) = v4 & aNaturalNumber0(xp) = v2 & aNaturalNumber0(xm) = v0 & aNaturalNumber0(xn) = v1 & ( ~ (v6 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v11 = xm & v10 = 0 & v7 = 0 & sdtasdt0(xp, v9) = xm & aNaturalNumber0(v9) = 0) | (v11 = xn & v10 = 0 & v8 = 0 & sdtasdt0(xp, v9) = xn & aNaturalNumber0(v9) = 0) | ( ~ (v5 = 0) & ! [v15] : ( ~ (sdtasdt0(xp, v15) = v4) | ? [v16] : ( ~ (v16 = 0) & aNaturalNumber0(v15) = v16))) | ( ~ (v3 = 0) & (xp = sz10 | xp = sz00 | (v14 = xp & v13 = 0 & v11 = 0 & v10 = 0 & ~ (v9 = xp) & ~ (v9 = sz10) & doDivides0(v9, xp) = 0 & sdtasdt0(v9, v12) = xp & aNaturalNumber0(v12) = 0 & aNaturalNumber0(v9) = 0)))))
% 243.36/186.25 |
% 243.36/186.25 | Instantiating formula (9) with all_0_13_13, all_0_14_14, xp, xn, xm and discharging atoms sdtpldt0(all_0_14_14, xp) = all_0_13_13, sdtpldt0(xm, xn) = all_0_14_14, yields:
% 243.36/186.25 | (1078) ? [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_13_13))
% 243.36/186.25 |
% 243.36/186.25 | Instantiating formula (64) with all_0_14_14, all_49_1_100, xn, xp, xm and discharging atoms sdtpldt0(xm, xp) = all_49_1_100, sdtpldt0(xm, xn) = all_0_14_14, yields:
% 243.36/186.25 | (1079) 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_49_1_100 = all_0_14_14))))
% 243.36/186.25 |
% 243.36/186.25 | Instantiating formula (73) with xk, all_62_1_138, xn, xr and discharging atoms doDivides0(xr, xk) = 0, sdtpldt0(xn, all_62_1_138) = xk, yields:
% 243.36/186.25 | (1080) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (doDivides0(xr, all_62_1_138) = v4 & doDivides0(xr, xn) = v3 & aNaturalNumber0(all_62_1_138) = v2 & aNaturalNumber0(xr) = v0 & aNaturalNumber0(xn) = v1 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0))
% 243.36/186.25 |
% 243.36/186.25 | Instantiating formula (73) with xk, all_62_1_138, xn, all_307_0_174 and discharging atoms doDivides0(all_307_0_174, xk) = 0, sdtpldt0(xn, all_62_1_138) = xk, yields:
% 243.36/186.25 | (1081) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (doDivides0(all_307_0_174, all_62_1_138) = v4 & doDivides0(all_307_0_174, xn) = v3 & aNaturalNumber0(all_307_0_174) = v0 & aNaturalNumber0(all_62_1_138) = v2 & aNaturalNumber0(xn) = v1 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0))
% 243.36/186.25 |
% 243.36/186.25 | Instantiating formula (73) with xk, all_62_1_138, xn, all_102_0_172 and discharging atoms doDivides0(all_102_0_172, xk) = 0, sdtpldt0(xn, all_62_1_138) = xk, yields:
% 243.36/186.25 | (1082) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (doDivides0(all_102_0_172, all_62_1_138) = v4 & doDivides0(all_102_0_172, xn) = v3 & aNaturalNumber0(all_102_0_172) = v0 & aNaturalNumber0(all_62_1_138) = v2 & aNaturalNumber0(xn) = v1 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0))
% 243.36/186.25 |
% 243.36/186.25 | Instantiating formula (111) with xk, all_62_1_138, xn and discharging atoms sdtpldt0(xn, all_62_1_138) = xk, yields:
% 243.36/186.25 | (1083) ? [v0] : ? [v1] : ? [v2] : (sdtpldt0(all_62_1_138, xn) = v2 & aNaturalNumber0(all_62_1_138) = v1 & aNaturalNumber0(xn) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = xk))
% 243.36/186.25 |
% 243.36/186.25 | Instantiating formula (28) with xk, all_62_1_138, xn and discharging atoms sdtpldt0(xn, all_62_1_138) = xk, yields:
% 243.36/186.25 | (1084) ? [v0] : ? [v1] : ? [v2] : (aNaturalNumber0(all_62_1_138) = v1 & aNaturalNumber0(xk) = v2 & aNaturalNumber0(xn) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 243.36/186.25 |
% 243.36/186.25 | Instantiating formula (111) with all_0_13_13, all_49_1_100, xn and discharging atoms sdtpldt0(xn, all_49_1_100) = all_0_13_13, yields:
% 243.36/186.25 | (1085) ? [v0] : ? [v1] : ? [v2] : (sdtpldt0(all_49_1_100, xn) = v2 & aNaturalNumber0(all_49_1_100) = v1 & aNaturalNumber0(xn) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_0_13_13))
% 243.36/186.25 |
% 243.36/186.25 | Instantiating formula (28) with all_0_13_13, all_49_1_100, xn and discharging atoms sdtpldt0(xn, all_49_1_100) = all_0_13_13, yields:
% 243.36/186.25 | (1086) ? [v0] : ? [v1] : ? [v2] : (aNaturalNumber0(all_49_1_100) = v1 & aNaturalNumber0(all_0_13_13) = v2 & aNaturalNumber0(xn) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 243.36/186.25 |
% 243.36/186.25 | Instantiating formula (73) with xp, all_42_2_74, xn, all_107_0_173 and discharging atoms doDivides0(all_107_0_173, xp) = 0, sdtpldt0(xn, all_42_2_74) = xp, yields:
% 243.36/186.25 | (1087) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (doDivides0(all_107_0_173, all_42_2_74) = v4 & doDivides0(all_107_0_173, xn) = v3 & aNaturalNumber0(all_107_0_173) = v0 & aNaturalNumber0(all_42_2_74) = v2 & aNaturalNumber0(xn) = v1 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0))
% 243.36/186.25 |
% 243.36/186.25 | Instantiating formula (23) with xk, xp, all_0_6_6, all_42_2_74, xn and discharging atoms sdtpldt0(xp, all_0_6_6) = xk, sdtpldt0(xn, all_42_2_74) = xp, yields:
% 243.36/186.25 | (1088) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (isPrime0(all_0_6_6) = v3 & doDivides0(all_0_6_6, v4) = v5 & doDivides0(all_0_6_6, all_42_2_74) = v8 & doDivides0(all_0_6_6, xn) = v7 & iLess0(xk, all_0_13_13) = v6 & sdtasdt0(xn, all_42_2_74) = v4 & aNaturalNumber0(all_42_2_74) = v1 & aNaturalNumber0(all_0_6_6) = v2 & aNaturalNumber0(xn) = v0 & ( ~ (v6 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v11 = all_42_2_74 & v10 = 0 & v8 = 0 & sdtasdt0(all_0_6_6, v9) = all_42_2_74 & aNaturalNumber0(v9) = 0) | (v11 = xn & v10 = 0 & v7 = 0 & sdtasdt0(all_0_6_6, v9) = xn & aNaturalNumber0(v9) = 0) | ( ~ (v5 = 0) & ! [v15] : ( ~ (sdtasdt0(all_0_6_6, v15) = v4) | ? [v16] : ( ~ (v16 = 0) & aNaturalNumber0(v15) = v16))) | ( ~ (v3 = 0) & (all_0_6_6 = sz10 | all_0_6_6 = sz00 | (v14 = all_0_6_6 & v13 = 0 & v11 = 0 & v10 = 0 & ~ (v9 = all_0_6_6) & ~ (v9 = sz10) & doDivides0(v9, all_0_6_6) = 0 & sdtasdt0(v9, v12) = all_0_6_6 & aNaturalNumber0(v12) = 0 & aNaturalNumber0(v9) = 0)))))
% 243.36/186.25 |
% 243.36/186.25 | Instantiating formula (9) with xk, xp, all_0_6_6, all_42_2_74, xn and discharging atoms sdtpldt0(xp, all_0_6_6) = xk, sdtpldt0(xn, all_42_2_74) = xp, yields:
% 243.36/186.25 | (1089) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(all_42_2_74, all_0_6_6) = v3 & sdtpldt0(xn, v3) = v4 & aNaturalNumber0(all_42_2_74) = v1 & aNaturalNumber0(all_0_6_6) = v2 & aNaturalNumber0(xn) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = xk))
% 243.36/186.25 |
% 243.36/186.25 | Instantiating formula (23) with xk, xp, all_43_2_77, all_42_2_74, xn and discharging atoms sdtpldt0(xp, all_43_2_77) = xk, sdtpldt0(xn, all_42_2_74) = xp, yields:
% 243.36/186.25 | (1090) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (isPrime0(all_43_2_77) = v3 & doDivides0(all_43_2_77, v4) = v5 & doDivides0(all_43_2_77, all_42_2_74) = v8 & doDivides0(all_43_2_77, xn) = v7 & iLess0(xk, all_0_13_13) = v6 & sdtasdt0(xn, all_42_2_74) = v4 & aNaturalNumber0(all_43_2_77) = v2 & aNaturalNumber0(all_42_2_74) = v1 & aNaturalNumber0(xn) = v0 & ( ~ (v6 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v11 = all_42_2_74 & v10 = 0 & v8 = 0 & sdtasdt0(all_43_2_77, v9) = all_42_2_74 & aNaturalNumber0(v9) = 0) | (v11 = xn & v10 = 0 & v7 = 0 & sdtasdt0(all_43_2_77, v9) = xn & aNaturalNumber0(v9) = 0) | ( ~ (v5 = 0) & ! [v15] : ( ~ (sdtasdt0(all_43_2_77, v15) = v4) | ? [v16] : ( ~ (v16 = 0) & aNaturalNumber0(v15) = v16))) | ( ~ (v3 = 0) & (all_43_2_77 = sz10 | all_43_2_77 = sz00 | (v14 = all_43_2_77 & v13 = 0 & v11 = 0 & v10 = 0 & ~ (v9 = all_43_2_77) & ~ (v9 = sz10) & doDivides0(v9, all_43_2_77) = 0 & sdtasdt0(v9, v12) = all_43_2_77 & aNaturalNumber0(v12) = 0 & aNaturalNumber0(v9) = 0)))))
% 243.36/186.25 |
% 243.36/186.25 | Instantiating formula (9) with xk, xp, all_43_2_77, all_42_2_74, xn and discharging atoms sdtpldt0(xp, all_43_2_77) = xk, sdtpldt0(xn, all_42_2_74) = xp, yields:
% 243.36/186.25 | (1091) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(all_42_2_74, all_43_2_77) = v3 & sdtpldt0(xn, v3) = v4 & aNaturalNumber0(all_43_2_77) = v2 & aNaturalNumber0(all_42_2_74) = v1 & aNaturalNumber0(xn) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = xk))
% 243.36/186.25 |
% 243.36/186.25 | Instantiating formula (23) with all_0_13_13, xp, all_0_14_14, all_42_2_74, xn and discharging atoms sdtpldt0(xp, all_0_14_14) = all_0_13_13, sdtpldt0(xn, all_42_2_74) = xp, yields:
% 243.36/186.25 | (1092) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (isPrime0(all_0_14_14) = v3 & doDivides0(all_0_14_14, v4) = v5 & doDivides0(all_0_14_14, all_42_2_74) = v8 & doDivides0(all_0_14_14, xn) = v7 & iLess0(all_0_13_13, all_0_13_13) = v6 & sdtasdt0(xn, all_42_2_74) = v4 & aNaturalNumber0(all_42_2_74) = v1 & aNaturalNumber0(all_0_14_14) = v2 & aNaturalNumber0(xn) = v0 & ( ~ (v6 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v11 = all_42_2_74 & v10 = 0 & v8 = 0 & sdtasdt0(all_0_14_14, v9) = all_42_2_74 & aNaturalNumber0(v9) = 0) | (v11 = xn & v10 = 0 & v7 = 0 & sdtasdt0(all_0_14_14, v9) = xn & aNaturalNumber0(v9) = 0) | ( ~ (v5 = 0) & ! [v15] : ( ~ (sdtasdt0(all_0_14_14, v15) = v4) | ? [v16] : ( ~ (v16 = 0) & aNaturalNumber0(v15) = v16))) | ( ~ (v3 = 0) & (all_0_14_14 = sz10 | all_0_14_14 = sz00 | (v14 = all_0_14_14 & v13 = 0 & v11 = 0 & v10 = 0 & ~ (v9 = all_0_14_14) & ~ (v9 = sz10) & doDivides0(v9, all_0_14_14) = 0 & sdtasdt0(v9, v12) = all_0_14_14 & aNaturalNumber0(v12) = 0 & aNaturalNumber0(v9) = 0)))))
% 243.36/186.25 |
% 243.36/186.25 | Instantiating formula (9) with all_0_13_13, xp, all_0_14_14, all_42_2_74, xn and discharging atoms sdtpldt0(xp, all_0_14_14) = all_0_13_13, sdtpldt0(xn, all_42_2_74) = xp, yields:
% 243.36/186.25 | (1093) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(all_42_2_74, all_0_14_14) = v3 & sdtpldt0(xn, v3) = v4 & aNaturalNumber0(all_42_2_74) = v1 & aNaturalNumber0(all_0_14_14) = v2 & aNaturalNumber0(xn) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = all_0_13_13))
% 243.36/186.25 |
% 243.36/186.25 | Instantiating formula (111) with xp, all_42_2_74, xn and discharging atoms sdtpldt0(xn, all_42_2_74) = xp, yields:
% 243.36/186.25 | (1094) ? [v0] : ? [v1] : ? [v2] : (sdtpldt0(all_42_2_74, xn) = v2 & aNaturalNumber0(all_42_2_74) = v1 & aNaturalNumber0(xn) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = xp))
% 243.36/186.25 |
% 243.36/186.25 | Instantiating formula (8) with all_107_0_173 and discharging atoms aNaturalNumber0(all_107_0_173) = 0, yields:
% 243.36/186.25 | (1095) all_107_0_173 = sz10 | all_107_0_173 = sz00 | ? [v0] : (isPrime0(v0) = 0 & doDivides0(v0, all_107_0_173) = 0 & aNaturalNumber0(v0) = 0)
% 243.36/186.26 |
% 243.36/186.26 | Instantiating (1094) with all_480_0_204, all_480_1_205, all_480_2_206 yields:
% 243.36/186.26 | (1096) sdtpldt0(all_42_2_74, xn) = all_480_0_204 & aNaturalNumber0(all_42_2_74) = all_480_1_205 & aNaturalNumber0(xn) = all_480_2_206 & ( ~ (all_480_1_205 = 0) | ~ (all_480_2_206 = 0) | all_480_0_204 = xp)
% 243.36/186.26 |
% 243.36/186.26 | Applying alpha-rule on (1096) yields:
% 243.36/186.26 | (1097) sdtpldt0(all_42_2_74, xn) = all_480_0_204
% 243.36/186.26 | (1098) aNaturalNumber0(all_42_2_74) = all_480_1_205
% 243.36/186.26 | (1099) aNaturalNumber0(xn) = all_480_2_206
% 243.36/186.26 | (1100) ~ (all_480_1_205 = 0) | ~ (all_480_2_206 = 0) | all_480_0_204 = xp
% 243.36/186.26 |
% 243.36/186.26 | Instantiating (1093) with all_482_0_207, all_482_1_208, all_482_2_209, all_482_3_210, all_482_4_211 yields:
% 243.36/186.26 | (1101) sdtpldt0(all_42_2_74, all_0_14_14) = all_482_1_208 & sdtpldt0(xn, all_482_1_208) = all_482_0_207 & aNaturalNumber0(all_42_2_74) = all_482_3_210 & aNaturalNumber0(all_0_14_14) = all_482_2_209 & aNaturalNumber0(xn) = all_482_4_211 & ( ~ (all_482_2_209 = 0) | ~ (all_482_3_210 = 0) | ~ (all_482_4_211 = 0) | all_482_0_207 = all_0_13_13)
% 243.36/186.26 |
% 243.36/186.26 | Applying alpha-rule on (1101) yields:
% 243.36/186.26 | (1102) aNaturalNumber0(all_0_14_14) = all_482_2_209
% 243.36/186.26 | (1103) aNaturalNumber0(all_42_2_74) = all_482_3_210
% 243.36/186.26 | (1104) sdtpldt0(xn, all_482_1_208) = all_482_0_207
% 243.36/186.26 | (1105) aNaturalNumber0(xn) = all_482_4_211
% 243.36/186.26 | (1106) ~ (all_482_2_209 = 0) | ~ (all_482_3_210 = 0) | ~ (all_482_4_211 = 0) | all_482_0_207 = all_0_13_13
% 243.36/186.26 | (1107) sdtpldt0(all_42_2_74, all_0_14_14) = all_482_1_208
% 243.36/186.26 |
% 243.36/186.26 | Instantiating (1092) with all_484_0_212, all_484_1_213, all_484_2_214, all_484_3_215, all_484_4_216, all_484_5_217, all_484_6_218, all_484_7_219, all_484_8_220, all_484_9_221, all_484_10_222, all_484_11_223, all_484_12_224, all_484_13_225, all_484_14_226 yields:
% 243.36/186.26 | (1108) isPrime0(all_0_14_14) = all_484_11_223 & doDivides0(all_0_14_14, all_484_10_222) = all_484_9_221 & doDivides0(all_0_14_14, all_42_2_74) = all_484_6_218 & doDivides0(all_0_14_14, xn) = all_484_7_219 & iLess0(all_0_13_13, all_0_13_13) = all_484_8_220 & sdtasdt0(xn, all_42_2_74) = all_484_10_222 & aNaturalNumber0(all_42_2_74) = all_484_13_225 & aNaturalNumber0(all_0_14_14) = all_484_12_224 & aNaturalNumber0(xn) = all_484_14_226 & ( ~ (all_484_8_220 = 0) | ~ (all_484_12_224 = 0) | ~ (all_484_13_225 = 0) | ~ (all_484_14_226 = 0) | (all_484_3_215 = all_42_2_74 & all_484_4_216 = 0 & all_484_6_218 = 0 & sdtasdt0(all_0_14_14, all_484_5_217) = all_42_2_74 & aNaturalNumber0(all_484_5_217) = 0) | (all_484_3_215 = xn & all_484_4_216 = 0 & all_484_7_219 = 0 & sdtasdt0(all_0_14_14, all_484_5_217) = xn & aNaturalNumber0(all_484_5_217) = 0) | ( ~ (all_484_9_221 = 0) & ! [v0] : ( ~ (sdtasdt0(all_0_14_14, v0) = all_484_10_222) | ? [v1] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1))) | ( ~ (all_484_11_223 = 0) & (all_0_14_14 = sz10 | all_0_14_14 = sz00 | (all_484_0_212 = all_0_14_14 & all_484_1_213 = 0 & all_484_3_215 = 0 & all_484_4_216 = 0 & ~ (all_484_5_217 = all_0_14_14) & ~ (all_484_5_217 = sz10) & doDivides0(all_484_5_217, all_0_14_14) = 0 & sdtasdt0(all_484_5_217, all_484_2_214) = all_0_14_14 & aNaturalNumber0(all_484_2_214) = 0 & aNaturalNumber0(all_484_5_217) = 0))))
% 243.36/186.26 |
% 243.36/186.26 | Applying alpha-rule on (1108) yields:
% 243.36/186.26 | (1109) doDivides0(all_0_14_14, all_484_10_222) = all_484_9_221
% 243.36/186.26 | (1110) sdtasdt0(xn, all_42_2_74) = all_484_10_222
% 243.36/186.26 | (1111) isPrime0(all_0_14_14) = all_484_11_223
% 243.36/186.26 | (1112) iLess0(all_0_13_13, all_0_13_13) = all_484_8_220
% 243.36/186.26 | (1113) aNaturalNumber0(all_42_2_74) = all_484_13_225
% 243.36/186.26 | (1114) aNaturalNumber0(all_0_14_14) = all_484_12_224
% 243.36/186.26 | (1115) doDivides0(all_0_14_14, all_42_2_74) = all_484_6_218
% 243.36/186.26 | (1116) aNaturalNumber0(xn) = all_484_14_226
% 243.36/186.26 | (1117) ~ (all_484_8_220 = 0) | ~ (all_484_12_224 = 0) | ~ (all_484_13_225 = 0) | ~ (all_484_14_226 = 0) | (all_484_3_215 = all_42_2_74 & all_484_4_216 = 0 & all_484_6_218 = 0 & sdtasdt0(all_0_14_14, all_484_5_217) = all_42_2_74 & aNaturalNumber0(all_484_5_217) = 0) | (all_484_3_215 = xn & all_484_4_216 = 0 & all_484_7_219 = 0 & sdtasdt0(all_0_14_14, all_484_5_217) = xn & aNaturalNumber0(all_484_5_217) = 0) | ( ~ (all_484_9_221 = 0) & ! [v0] : ( ~ (sdtasdt0(all_0_14_14, v0) = all_484_10_222) | ? [v1] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1))) | ( ~ (all_484_11_223 = 0) & (all_0_14_14 = sz10 | all_0_14_14 = sz00 | (all_484_0_212 = all_0_14_14 & all_484_1_213 = 0 & all_484_3_215 = 0 & all_484_4_216 = 0 & ~ (all_484_5_217 = all_0_14_14) & ~ (all_484_5_217 = sz10) & doDivides0(all_484_5_217, all_0_14_14) = 0 & sdtasdt0(all_484_5_217, all_484_2_214) = all_0_14_14 & aNaturalNumber0(all_484_2_214) = 0 & aNaturalNumber0(all_484_5_217) = 0)))
% 243.36/186.26 | (1118) doDivides0(all_0_14_14, xn) = all_484_7_219
% 243.36/186.26 |
% 243.36/186.26 | Instantiating (1089) with all_486_0_227, all_486_1_228, all_486_2_229, all_486_3_230, all_486_4_231 yields:
% 243.36/186.26 | (1119) sdtpldt0(all_42_2_74, all_0_6_6) = all_486_1_228 & sdtpldt0(xn, all_486_1_228) = all_486_0_227 & aNaturalNumber0(all_42_2_74) = all_486_3_230 & aNaturalNumber0(all_0_6_6) = all_486_2_229 & aNaturalNumber0(xn) = all_486_4_231 & ( ~ (all_486_2_229 = 0) | ~ (all_486_3_230 = 0) | ~ (all_486_4_231 = 0) | all_486_0_227 = xk)
% 243.36/186.26 |
% 243.36/186.26 | Applying alpha-rule on (1119) yields:
% 243.36/186.26 | (1120) sdtpldt0(xn, all_486_1_228) = all_486_0_227
% 243.36/186.26 | (1121) aNaturalNumber0(all_42_2_74) = all_486_3_230
% 243.36/186.26 | (1122) aNaturalNumber0(all_0_6_6) = all_486_2_229
% 243.36/186.26 | (1123) aNaturalNumber0(xn) = all_486_4_231
% 243.36/186.26 | (1124) sdtpldt0(all_42_2_74, all_0_6_6) = all_486_1_228
% 243.36/186.26 | (1125) ~ (all_486_2_229 = 0) | ~ (all_486_3_230 = 0) | ~ (all_486_4_231 = 0) | all_486_0_227 = xk
% 243.36/186.26 |
% 243.36/186.26 | Instantiating (1052) with all_488_0_232, all_488_1_233, all_488_2_234 yields:
% 243.36/186.26 | (1126) sdtpldt0(all_43_2_77, xp) = all_488_0_232 & aNaturalNumber0(all_43_2_77) = all_488_1_233 & aNaturalNumber0(xp) = all_488_2_234 & ( ~ (all_488_1_233 = 0) | ~ (all_488_2_234 = 0) | all_488_0_232 = xk)
% 243.36/186.26 |
% 243.36/186.26 | Applying alpha-rule on (1126) yields:
% 243.36/186.26 | (1127) sdtpldt0(all_43_2_77, xp) = all_488_0_232
% 243.36/186.26 | (1128) aNaturalNumber0(all_43_2_77) = all_488_1_233
% 243.36/186.26 | (1129) aNaturalNumber0(xp) = all_488_2_234
% 243.36/186.26 | (1130) ~ (all_488_1_233 = 0) | ~ (all_488_2_234 = 0) | all_488_0_232 = xk
% 243.36/186.26 |
% 243.36/186.26 | Instantiating (1051) with all_490_0_235, all_490_1_236, all_490_2_237, all_490_3_238, all_490_4_239 yields:
% 243.36/186.26 | (1131) sdtpldt0(all_0_2_2, all_490_1_236) = all_490_0_235 & sdtpldt0(xm, all_43_2_77) = all_490_1_236 & aNaturalNumber0(all_43_2_77) = all_490_2_237 & aNaturalNumber0(all_0_2_2) = all_490_4_239 & aNaturalNumber0(xm) = all_490_3_238 & ( ~ (all_490_2_237 = 0) | ~ (all_490_3_238 = 0) | ~ (all_490_4_239 = 0) | all_490_0_235 = xk)
% 243.36/186.26 |
% 243.36/186.26 | Applying alpha-rule on (1131) yields:
% 243.36/186.26 | (1132) aNaturalNumber0(all_0_2_2) = all_490_4_239
% 243.36/186.26 | (1133) ~ (all_490_2_237 = 0) | ~ (all_490_3_238 = 0) | ~ (all_490_4_239 = 0) | all_490_0_235 = xk
% 243.36/186.26 | (1134) aNaturalNumber0(all_43_2_77) = all_490_2_237
% 243.36/186.26 | (1135) aNaturalNumber0(xm) = all_490_3_238
% 243.36/186.26 | (1136) sdtpldt0(xm, all_43_2_77) = all_490_1_236
% 243.36/186.26 | (1137) sdtpldt0(all_0_2_2, all_490_1_236) = all_490_0_235
% 243.36/186.26 |
% 243.36/186.26 | Instantiating (1047) with all_492_0_240, all_492_1_241, all_492_2_242, all_492_3_243, all_492_4_244 yields:
% 243.36/186.26 | (1138) sdtpldt0(all_0_1_1, all_43_2_77) = all_492_1_241 & sdtpldt0(xn, all_492_1_241) = all_492_0_240 & aNaturalNumber0(all_43_2_77) = all_492_2_242 & aNaturalNumber0(all_0_1_1) = all_492_3_243 & aNaturalNumber0(xn) = all_492_4_244 & ( ~ (all_492_2_242 = 0) | ~ (all_492_3_243 = 0) | ~ (all_492_4_244 = 0) | all_492_0_240 = xk)
% 243.36/186.26 |
% 243.36/186.26 | Applying alpha-rule on (1138) yields:
% 243.36/186.26 | (1139) ~ (all_492_2_242 = 0) | ~ (all_492_3_243 = 0) | ~ (all_492_4_244 = 0) | all_492_0_240 = xk
% 243.36/186.26 | (1140) sdtpldt0(all_0_1_1, all_43_2_77) = all_492_1_241
% 243.36/186.26 | (1141) aNaturalNumber0(all_0_1_1) = all_492_3_243
% 243.36/186.26 | (1142) aNaturalNumber0(xn) = all_492_4_244
% 243.36/186.26 | (1143) sdtpldt0(xn, all_492_1_241) = all_492_0_240
% 243.36/186.26 | (1144) aNaturalNumber0(all_43_2_77) = all_492_2_242
% 243.36/186.26 |
% 243.36/186.26 | Instantiating (1044) with all_494_0_245, all_494_1_246, all_494_2_247, all_494_3_248, all_494_4_249, all_494_5_250, all_494_6_251, all_494_7_252, all_494_8_253, all_494_9_254, all_494_10_255, all_494_11_256, all_494_12_257, all_494_13_258, all_494_14_259 yields:
% 243.36/186.26 | (1145) isPrime0(all_43_2_77) = all_494_11_256 & doDivides0(all_43_2_77, all_494_10_255) = all_494_9_254 & doDivides0(all_43_2_77, all_0_2_2) = all_494_6_251 & doDivides0(all_43_2_77, xm) = all_494_7_252 & iLess0(xk, all_0_13_13) = all_494_8_253 & sdtasdt0(xm, all_0_2_2) = all_494_10_255 & aNaturalNumber0(all_43_2_77) = all_494_12_257 & aNaturalNumber0(all_0_2_2) = all_494_13_258 & aNaturalNumber0(xm) = all_494_14_259 & ( ~ (all_494_8_253 = 0) | ~ (all_494_12_257 = 0) | ~ (all_494_13_258 = 0) | ~ (all_494_14_259 = 0) | (all_494_3_248 = all_0_2_2 & all_494_4_249 = 0 & all_494_6_251 = 0 & sdtasdt0(all_43_2_77, all_494_5_250) = all_0_2_2 & aNaturalNumber0(all_494_5_250) = 0) | (all_494_3_248 = xm & all_494_4_249 = 0 & all_494_7_252 = 0 & sdtasdt0(all_43_2_77, all_494_5_250) = xm & aNaturalNumber0(all_494_5_250) = 0) | ( ~ (all_494_9_254 = 0) & ! [v0] : ( ~ (sdtasdt0(all_43_2_77, v0) = all_494_10_255) | ? [v1] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1))) | ( ~ (all_494_11_256 = 0) & (all_43_2_77 = sz10 | all_43_2_77 = sz00 | (all_494_0_245 = all_43_2_77 & all_494_1_246 = 0 & all_494_3_248 = 0 & all_494_4_249 = 0 & ~ (all_494_5_250 = all_43_2_77) & ~ (all_494_5_250 = sz10) & doDivides0(all_494_5_250, all_43_2_77) = 0 & sdtasdt0(all_494_5_250, all_494_2_247) = all_43_2_77 & aNaturalNumber0(all_494_2_247) = 0 & aNaturalNumber0(all_494_5_250) = 0))))
% 243.36/186.26 |
% 243.36/186.26 | Applying alpha-rule on (1145) yields:
% 243.36/186.26 | (1146) doDivides0(all_43_2_77, all_0_2_2) = all_494_6_251
% 243.36/186.26 | (1147) aNaturalNumber0(all_43_2_77) = all_494_12_257
% 243.36/186.26 | (1148) isPrime0(all_43_2_77) = all_494_11_256
% 243.36/186.26 | (1149) doDivides0(all_43_2_77, all_494_10_255) = all_494_9_254
% 243.36/186.26 | (1150) aNaturalNumber0(xm) = all_494_14_259
% 243.36/186.26 | (1151) doDivides0(all_43_2_77, xm) = all_494_7_252
% 243.36/186.26 | (1152) sdtasdt0(xm, all_0_2_2) = all_494_10_255
% 243.36/186.26 | (1153) aNaturalNumber0(all_0_2_2) = all_494_13_258
% 243.36/186.26 | (1154) iLess0(xk, all_0_13_13) = all_494_8_253
% 243.36/186.26 | (1155) ~ (all_494_8_253 = 0) | ~ (all_494_12_257 = 0) | ~ (all_494_13_258 = 0) | ~ (all_494_14_259 = 0) | (all_494_3_248 = all_0_2_2 & all_494_4_249 = 0 & all_494_6_251 = 0 & sdtasdt0(all_43_2_77, all_494_5_250) = all_0_2_2 & aNaturalNumber0(all_494_5_250) = 0) | (all_494_3_248 = xm & all_494_4_249 = 0 & all_494_7_252 = 0 & sdtasdt0(all_43_2_77, all_494_5_250) = xm & aNaturalNumber0(all_494_5_250) = 0) | ( ~ (all_494_9_254 = 0) & ! [v0] : ( ~ (sdtasdt0(all_43_2_77, v0) = all_494_10_255) | ? [v1] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1))) | ( ~ (all_494_11_256 = 0) & (all_43_2_77 = sz10 | all_43_2_77 = sz00 | (all_494_0_245 = all_43_2_77 & all_494_1_246 = 0 & all_494_3_248 = 0 & all_494_4_249 = 0 & ~ (all_494_5_250 = all_43_2_77) & ~ (all_494_5_250 = sz10) & doDivides0(all_494_5_250, all_43_2_77) = 0 & sdtasdt0(all_494_5_250, all_494_2_247) = all_43_2_77 & aNaturalNumber0(all_494_2_247) = 0 & aNaturalNumber0(all_494_5_250) = 0)))
% 243.36/186.26 |
% 243.36/186.26 | Instantiating (1046) with all_496_0_260, all_496_1_261, all_496_2_262, all_496_3_263, all_496_4_264, all_496_5_265, all_496_6_266, all_496_7_267, all_496_8_268, all_496_9_269, all_496_10_270, all_496_11_271, all_496_12_272, all_496_13_273, all_496_14_274 yields:
% 243.36/186.26 | (1156) isPrime0(all_43_2_77) = all_496_11_271 & doDivides0(all_43_2_77, all_496_10_270) = all_496_9_269 & doDivides0(all_43_2_77, all_0_1_1) = all_496_6_266 & doDivides0(all_43_2_77, xn) = all_496_7_267 & iLess0(xk, all_0_13_13) = all_496_8_268 & sdtasdt0(xn, all_0_1_1) = all_496_10_270 & aNaturalNumber0(all_43_2_77) = all_496_12_272 & aNaturalNumber0(all_0_1_1) = all_496_13_273 & aNaturalNumber0(xn) = all_496_14_274 & ( ~ (all_496_8_268 = 0) | ~ (all_496_12_272 = 0) | ~ (all_496_13_273 = 0) | ~ (all_496_14_274 = 0) | (all_496_3_263 = all_0_1_1 & all_496_4_264 = 0 & all_496_6_266 = 0 & sdtasdt0(all_43_2_77, all_496_5_265) = all_0_1_1 & aNaturalNumber0(all_496_5_265) = 0) | (all_496_3_263 = xn & all_496_4_264 = 0 & all_496_7_267 = 0 & sdtasdt0(all_43_2_77, all_496_5_265) = xn & aNaturalNumber0(all_496_5_265) = 0) | ( ~ (all_496_9_269 = 0) & ! [v0] : ( ~ (sdtasdt0(all_43_2_77, v0) = all_496_10_270) | ? [v1] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1))) | ( ~ (all_496_11_271 = 0) & (all_43_2_77 = sz10 | all_43_2_77 = sz00 | (all_496_0_260 = all_43_2_77 & all_496_1_261 = 0 & all_496_3_263 = 0 & all_496_4_264 = 0 & ~ (all_496_5_265 = all_43_2_77) & ~ (all_496_5_265 = sz10) & doDivides0(all_496_5_265, all_43_2_77) = 0 & sdtasdt0(all_496_5_265, all_496_2_262) = all_43_2_77 & aNaturalNumber0(all_496_2_262) = 0 & aNaturalNumber0(all_496_5_265) = 0))))
% 243.36/186.26 |
% 243.36/186.26 | Applying alpha-rule on (1156) yields:
% 243.36/186.26 | (1157) isPrime0(all_43_2_77) = all_496_11_271
% 243.36/186.26 | (1158) sdtasdt0(xn, all_0_1_1) = all_496_10_270
% 243.36/186.26 | (1159) aNaturalNumber0(all_0_1_1) = all_496_13_273
% 243.36/186.26 | (1160) doDivides0(all_43_2_77, all_496_10_270) = all_496_9_269
% 243.36/186.26 | (1161) aNaturalNumber0(all_43_2_77) = all_496_12_272
% 243.36/186.26 | (1162) aNaturalNumber0(xn) = all_496_14_274
% 243.36/186.26 | (1163) iLess0(xk, all_0_13_13) = all_496_8_268
% 243.36/186.26 | (1164) ~ (all_496_8_268 = 0) | ~ (all_496_12_272 = 0) | ~ (all_496_13_273 = 0) | ~ (all_496_14_274 = 0) | (all_496_3_263 = all_0_1_1 & all_496_4_264 = 0 & all_496_6_266 = 0 & sdtasdt0(all_43_2_77, all_496_5_265) = all_0_1_1 & aNaturalNumber0(all_496_5_265) = 0) | (all_496_3_263 = xn & all_496_4_264 = 0 & all_496_7_267 = 0 & sdtasdt0(all_43_2_77, all_496_5_265) = xn & aNaturalNumber0(all_496_5_265) = 0) | ( ~ (all_496_9_269 = 0) & ! [v0] : ( ~ (sdtasdt0(all_43_2_77, v0) = all_496_10_270) | ? [v1] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1))) | ( ~ (all_496_11_271 = 0) & (all_43_2_77 = sz10 | all_43_2_77 = sz00 | (all_496_0_260 = all_43_2_77 & all_496_1_261 = 0 & all_496_3_263 = 0 & all_496_4_264 = 0 & ~ (all_496_5_265 = all_43_2_77) & ~ (all_496_5_265 = sz10) & doDivides0(all_496_5_265, all_43_2_77) = 0 & sdtasdt0(all_496_5_265, all_496_2_262) = all_43_2_77 & aNaturalNumber0(all_496_2_262) = 0 & aNaturalNumber0(all_496_5_265) = 0)))
% 243.36/186.26 | (1165) doDivides0(all_43_2_77, xn) = all_496_7_267
% 243.36/186.26 | (1166) doDivides0(all_43_2_77, all_0_1_1) = all_496_6_266
% 243.36/186.26 |
% 243.36/186.26 | Instantiating (1050) with all_498_0_275, all_498_1_276, all_498_2_277, all_498_3_278, all_498_4_279, all_498_5_280, all_498_6_281, all_498_7_282, all_498_8_283, all_498_9_284, all_498_10_285, all_498_11_286, all_498_12_287, all_498_13_288, all_498_14_289 yields:
% 243.36/186.26 | (1167) isPrime0(all_43_2_77) = all_498_11_286 & doDivides0(all_43_2_77, all_498_10_285) = all_498_9_284 & doDivides0(all_43_2_77, all_0_2_2) = all_498_7_282 & doDivides0(all_43_2_77, xm) = all_498_6_281 & iLess0(xk, all_0_13_13) = all_498_8_283 & sdtasdt0(all_0_2_2, xm) = all_498_10_285 & aNaturalNumber0(all_43_2_77) = all_498_12_287 & aNaturalNumber0(all_0_2_2) = all_498_14_289 & aNaturalNumber0(xm) = all_498_13_288 & ( ~ (all_498_8_283 = 0) | ~ (all_498_12_287 = 0) | ~ (all_498_13_288 = 0) | ~ (all_498_14_289 = 0) | (all_498_3_278 = all_0_2_2 & all_498_4_279 = 0 & all_498_7_282 = 0 & sdtasdt0(all_43_2_77, all_498_5_280) = all_0_2_2 & aNaturalNumber0(all_498_5_280) = 0) | (all_498_3_278 = xm & all_498_4_279 = 0 & all_498_6_281 = 0 & sdtasdt0(all_43_2_77, all_498_5_280) = xm & aNaturalNumber0(all_498_5_280) = 0) | ( ~ (all_498_9_284 = 0) & ! [v0] : ( ~ (sdtasdt0(all_43_2_77, v0) = all_498_10_285) | ? [v1] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1))) | ( ~ (all_498_11_286 = 0) & (all_43_2_77 = sz10 | all_43_2_77 = sz00 | (all_498_0_275 = all_43_2_77 & all_498_1_276 = 0 & all_498_3_278 = 0 & all_498_4_279 = 0 & ~ (all_498_5_280 = all_43_2_77) & ~ (all_498_5_280 = sz10) & doDivides0(all_498_5_280, all_43_2_77) = 0 & sdtasdt0(all_498_5_280, all_498_2_277) = all_43_2_77 & aNaturalNumber0(all_498_2_277) = 0 & aNaturalNumber0(all_498_5_280) = 0))))
% 243.36/186.26 |
% 243.36/186.26 | Applying alpha-rule on (1167) yields:
% 243.36/186.26 | (1168) iLess0(xk, all_0_13_13) = all_498_8_283
% 243.36/186.26 | (1169) doDivides0(all_43_2_77, xm) = all_498_6_281
% 243.36/186.26 | (1170) aNaturalNumber0(all_0_2_2) = all_498_14_289
% 243.36/186.26 | (1171) ~ (all_498_8_283 = 0) | ~ (all_498_12_287 = 0) | ~ (all_498_13_288 = 0) | ~ (all_498_14_289 = 0) | (all_498_3_278 = all_0_2_2 & all_498_4_279 = 0 & all_498_7_282 = 0 & sdtasdt0(all_43_2_77, all_498_5_280) = all_0_2_2 & aNaturalNumber0(all_498_5_280) = 0) | (all_498_3_278 = xm & all_498_4_279 = 0 & all_498_6_281 = 0 & sdtasdt0(all_43_2_77, all_498_5_280) = xm & aNaturalNumber0(all_498_5_280) = 0) | ( ~ (all_498_9_284 = 0) & ! [v0] : ( ~ (sdtasdt0(all_43_2_77, v0) = all_498_10_285) | ? [v1] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1))) | ( ~ (all_498_11_286 = 0) & (all_43_2_77 = sz10 | all_43_2_77 = sz00 | (all_498_0_275 = all_43_2_77 & all_498_1_276 = 0 & all_498_3_278 = 0 & all_498_4_279 = 0 & ~ (all_498_5_280 = all_43_2_77) & ~ (all_498_5_280 = sz10) & doDivides0(all_498_5_280, all_43_2_77) = 0 & sdtasdt0(all_498_5_280, all_498_2_277) = all_43_2_77 & aNaturalNumber0(all_498_2_277) = 0 & aNaturalNumber0(all_498_5_280) = 0)))
% 243.36/186.26 | (1172) aNaturalNumber0(xm) = all_498_13_288
% 243.36/186.26 | (1173) aNaturalNumber0(all_43_2_77) = all_498_12_287
% 243.36/186.26 | (1174) sdtasdt0(all_0_2_2, xm) = all_498_10_285
% 243.36/186.26 | (1175) doDivides0(all_43_2_77, all_0_2_2) = all_498_7_282
% 243.36/186.26 | (1176) doDivides0(all_43_2_77, all_498_10_285) = all_498_9_284
% 243.36/186.26 | (1177) isPrime0(all_43_2_77) = all_498_11_286
% 243.36/186.26 |
% 243.36/186.26 | Instantiating (1049) with all_500_0_290, all_500_1_291, all_500_2_292, all_500_3_293, all_500_4_294 yields:
% 243.36/186.26 | (1178) sdtpldt0(all_0_1_1, all_500_1_291) = all_500_0_290 & sdtpldt0(xn, all_43_2_77) = all_500_1_291 & aNaturalNumber0(all_43_2_77) = all_500_2_292 & aNaturalNumber0(all_0_1_1) = all_500_4_294 & aNaturalNumber0(xn) = all_500_3_293 & ( ~ (all_500_2_292 = 0) | ~ (all_500_3_293 = 0) | ~ (all_500_4_294 = 0) | all_500_0_290 = xk)
% 243.36/186.26 |
% 243.36/186.26 | Applying alpha-rule on (1178) yields:
% 243.36/186.26 | (1179) sdtpldt0(xn, all_43_2_77) = all_500_1_291
% 243.36/186.26 | (1180) aNaturalNumber0(all_43_2_77) = all_500_2_292
% 243.36/186.27 | (1181) aNaturalNumber0(all_0_1_1) = all_500_4_294
% 243.36/186.27 | (1182) ~ (all_500_2_292 = 0) | ~ (all_500_3_293 = 0) | ~ (all_500_4_294 = 0) | all_500_0_290 = xk
% 243.36/186.27 | (1183) aNaturalNumber0(xn) = all_500_3_293
% 243.36/186.27 | (1184) sdtpldt0(all_0_1_1, all_500_1_291) = all_500_0_290
% 243.36/186.27 |
% 243.36/186.27 | Instantiating (1043) with all_502_0_295, all_502_1_296, all_502_2_297, all_502_3_298, all_502_4_299 yields:
% 243.36/186.27 | (1185) doDivides0(all_102_0_172, all_43_2_77) = all_502_0_295 & doDivides0(all_102_0_172, xp) = all_502_1_296 & aNaturalNumber0(all_102_0_172) = all_502_4_299 & aNaturalNumber0(all_43_2_77) = all_502_2_297 & aNaturalNumber0(xp) = all_502_3_298 & ( ~ (all_502_1_296 = 0) | ~ (all_502_2_297 = 0) | ~ (all_502_3_298 = 0) | ~ (all_502_4_299 = 0) | all_502_0_295 = 0)
% 243.36/186.27 |
% 243.36/186.27 | Applying alpha-rule on (1185) yields:
% 243.36/186.27 | (1186) aNaturalNumber0(all_102_0_172) = all_502_4_299
% 243.36/186.27 | (1187) ~ (all_502_1_296 = 0) | ~ (all_502_2_297 = 0) | ~ (all_502_3_298 = 0) | ~ (all_502_4_299 = 0) | all_502_0_295 = 0
% 243.36/186.27 | (1188) doDivides0(all_102_0_172, all_43_2_77) = all_502_0_295
% 243.36/186.27 | (1189) aNaturalNumber0(xp) = all_502_3_298
% 243.36/186.27 | (1190) doDivides0(all_102_0_172, xp) = all_502_1_296
% 243.36/186.27 | (1191) aNaturalNumber0(all_43_2_77) = all_502_2_297
% 243.36/186.27 |
% 243.36/186.27 | Instantiating (1042) with all_504_0_300, all_504_1_301, all_504_2_302, all_504_3_303, all_504_4_304 yields:
% 243.36/186.27 | (1192) doDivides0(all_307_0_174, all_43_2_77) = all_504_0_300 & doDivides0(all_307_0_174, xp) = all_504_1_301 & aNaturalNumber0(all_307_0_174) = all_504_4_304 & aNaturalNumber0(all_43_2_77) = all_504_2_302 & aNaturalNumber0(xp) = all_504_3_303 & ( ~ (all_504_1_301 = 0) | ~ (all_504_2_302 = 0) | ~ (all_504_3_303 = 0) | ~ (all_504_4_304 = 0) | all_504_0_300 = 0)
% 243.36/186.27 |
% 243.36/186.27 | Applying alpha-rule on (1192) yields:
% 243.36/186.27 | (1193) aNaturalNumber0(all_307_0_174) = all_504_4_304
% 243.36/186.27 | (1194) doDivides0(all_307_0_174, all_43_2_77) = all_504_0_300
% 243.36/186.27 | (1195) doDivides0(all_307_0_174, xp) = all_504_1_301
% 243.36/186.27 | (1196) aNaturalNumber0(xp) = all_504_3_303
% 243.36/186.27 | (1197) aNaturalNumber0(all_43_2_77) = all_504_2_302
% 243.36/186.27 | (1198) ~ (all_504_1_301 = 0) | ~ (all_504_2_302 = 0) | ~ (all_504_3_303 = 0) | ~ (all_504_4_304 = 0) | all_504_0_300 = 0
% 243.36/186.27 |
% 243.36/186.27 | Instantiating (1023) with all_506_0_305, all_506_1_306, all_506_2_307 yields:
% 243.36/186.27 | (1199) aNaturalNumber0(all_45_10_91) = all_506_0_305 & aNaturalNumber0(all_0_2_2) = all_506_1_306 & aNaturalNumber0(xm) = all_506_2_307 & ( ~ (all_506_1_306 = 0) | ~ (all_506_2_307 = 0) | all_506_0_305 = 0)
% 243.36/186.27 |
% 243.36/186.27 | Applying alpha-rule on (1199) yields:
% 243.36/186.27 | (1200) aNaturalNumber0(all_45_10_91) = all_506_0_305
% 243.36/186.27 | (1201) aNaturalNumber0(all_0_2_2) = all_506_1_306
% 243.36/186.27 | (1202) aNaturalNumber0(xm) = all_506_2_307
% 243.36/186.27 | (1203) ~ (all_506_1_306 = 0) | ~ (all_506_2_307 = 0) | all_506_0_305 = 0
% 243.36/186.27 |
% 243.36/186.27 | Instantiating (1022) with all_508_0_308, all_508_1_309, all_508_2_310 yields:
% 243.36/186.27 | (1204) sdtasdt0(all_0_2_2, xm) = all_508_0_308 & aNaturalNumber0(all_0_2_2) = all_508_1_309 & aNaturalNumber0(xm) = all_508_2_310 & ( ~ (all_508_1_309 = 0) | ~ (all_508_2_310 = 0) | all_508_0_308 = all_45_10_91)
% 243.36/186.27 |
% 243.36/186.27 | Applying alpha-rule on (1204) yields:
% 243.36/186.27 | (1205) sdtasdt0(all_0_2_2, xm) = all_508_0_308
% 243.36/186.27 | (1206) aNaturalNumber0(all_0_2_2) = all_508_1_309
% 243.36/186.27 | (1207) aNaturalNumber0(xm) = all_508_2_310
% 243.36/186.27 | (1208) ~ (all_508_1_309 = 0) | ~ (all_508_2_310 = 0) | all_508_0_308 = all_45_10_91
% 243.36/186.27 |
% 243.36/186.27 | Instantiating (1004) with all_513_0_320, all_513_1_321, all_513_2_322, all_513_3_323, all_513_4_324 yields:
% 243.36/186.27 | (1209) doDivides0(all_107_0_173, all_0_1_1) = all_513_0_320 & doDivides0(all_107_0_173, xn) = all_513_1_321 & aNaturalNumber0(all_107_0_173) = all_513_4_324 & aNaturalNumber0(all_0_1_1) = all_513_2_322 & aNaturalNumber0(xn) = all_513_3_323 & ( ~ (all_513_1_321 = 0) | ~ (all_513_2_322 = 0) | ~ (all_513_3_323 = 0) | ~ (all_513_4_324 = 0) | all_513_0_320 = 0)
% 243.36/186.27 |
% 243.36/186.27 | Applying alpha-rule on (1209) yields:
% 243.36/186.27 | (1210) aNaturalNumber0(all_0_1_1) = all_513_2_322
% 243.36/186.27 | (1211) doDivides0(all_107_0_173, all_0_1_1) = all_513_0_320
% 243.36/186.27 | (1212) doDivides0(all_107_0_173, xn) = all_513_1_321
% 243.36/186.27 | (1213) aNaturalNumber0(xn) = all_513_3_323
% 243.36/186.27 | (1214) aNaturalNumber0(all_107_0_173) = all_513_4_324
% 243.36/186.27 | (1215) ~ (all_513_1_321 = 0) | ~ (all_513_2_322 = 0) | ~ (all_513_3_323 = 0) | ~ (all_513_4_324 = 0) | all_513_0_320 = 0
% 243.36/186.27 |
% 243.36/186.27 | Instantiating (1003) with all_515_0_325, all_515_1_326, all_515_2_327, all_515_3_328, all_515_4_329 yields:
% 243.36/186.27 | (1216) doDivides0(all_107_0_173, all_0_2_2) = all_515_0_325 & doDivides0(all_107_0_173, xm) = all_515_1_326 & aNaturalNumber0(all_107_0_173) = all_515_4_329 & aNaturalNumber0(all_0_2_2) = all_515_2_327 & aNaturalNumber0(xm) = all_515_3_328 & ( ~ (all_515_1_326 = 0) | ~ (all_515_2_327 = 0) | ~ (all_515_3_328 = 0) | ~ (all_515_4_329 = 0) | all_515_0_325 = 0)
% 243.36/186.27 |
% 243.36/186.27 | Applying alpha-rule on (1216) yields:
% 243.36/186.27 | (1217) doDivides0(all_107_0_173, xm) = all_515_1_326
% 243.36/186.27 | (1218) ~ (all_515_1_326 = 0) | ~ (all_515_2_327 = 0) | ~ (all_515_3_328 = 0) | ~ (all_515_4_329 = 0) | all_515_0_325 = 0
% 243.36/186.27 | (1219) aNaturalNumber0(all_0_2_2) = all_515_2_327
% 243.36/186.27 | (1220) aNaturalNumber0(xm) = all_515_3_328
% 243.36/186.27 | (1221) aNaturalNumber0(all_107_0_173) = all_515_4_329
% 243.36/186.27 | (1222) doDivides0(all_107_0_173, all_0_2_2) = all_515_0_325
% 243.36/186.27 |
% 243.36/186.27 | Instantiating (1021) with all_518_0_333, all_518_1_334, all_518_2_335 yields:
% 243.36/186.27 | (1223) sdtasdt0(all_44_2_80, xp) = all_518_0_333 & aNaturalNumber0(all_44_2_80) = all_518_1_334 & aNaturalNumber0(xp) = all_518_2_335 & ( ~ (all_518_1_334 = 0) | ~ (all_518_2_335 = 0) | all_518_0_333 = all_0_12_12)
% 243.36/186.27 |
% 243.36/186.27 | Applying alpha-rule on (1223) yields:
% 243.36/186.27 | (1224) sdtasdt0(all_44_2_80, xp) = all_518_0_333
% 243.36/186.27 | (1225) aNaturalNumber0(all_44_2_80) = all_518_1_334
% 243.36/186.27 | (1226) aNaturalNumber0(xp) = all_518_2_335
% 243.36/186.27 | (1227) ~ (all_518_1_334 = 0) | ~ (all_518_2_335 = 0) | all_518_0_333 = all_0_12_12
% 243.36/186.27 |
% 243.36/186.27 | Instantiating (1001) with all_520_0_336, all_520_1_337, all_520_2_338, all_520_3_339, all_520_4_340 yields:
% 243.36/186.27 | (1228) doDivides0(all_307_0_174, all_0_6_6) = all_520_0_336 & doDivides0(all_307_0_174, xp) = all_520_1_337 & aNaturalNumber0(all_307_0_174) = all_520_4_340 & aNaturalNumber0(all_0_6_6) = all_520_2_338 & aNaturalNumber0(xp) = all_520_3_339 & ( ~ (all_520_1_337 = 0) | ~ (all_520_2_338 = 0) | ~ (all_520_3_339 = 0) | ~ (all_520_4_340 = 0) | all_520_0_336 = 0)
% 243.36/186.27 |
% 243.36/186.27 | Applying alpha-rule on (1228) yields:
% 243.36/186.27 | (1229) doDivides0(all_307_0_174, all_0_6_6) = all_520_0_336
% 243.36/186.27 | (1230) aNaturalNumber0(all_0_6_6) = all_520_2_338
% 243.36/186.27 | (1231) aNaturalNumber0(xp) = all_520_3_339
% 243.36/186.27 | (1232) aNaturalNumber0(all_307_0_174) = all_520_4_340
% 243.36/186.27 | (1233) ~ (all_520_1_337 = 0) | ~ (all_520_2_338 = 0) | ~ (all_520_3_339 = 0) | ~ (all_520_4_340 = 0) | all_520_0_336 = 0
% 243.36/186.27 | (1234) doDivides0(all_307_0_174, xp) = all_520_1_337
% 243.36/186.27 |
% 243.36/186.27 | Instantiating (1016) with all_522_0_341, all_522_1_342, all_522_2_343, all_522_3_344, all_522_4_345 yields:
% 243.36/186.27 | (1235) sdtasdt0(all_53_2_109, xp) = all_522_1_342 & sdtasdt0(xr, all_522_1_342) = all_522_0_341 & aNaturalNumber0(all_53_2_109) = all_522_3_344 & aNaturalNumber0(xr) = all_522_4_345 & aNaturalNumber0(xp) = all_522_2_343 & ( ~ (all_522_2_343 = 0) | ~ (all_522_3_344 = 0) | ~ (all_522_4_345 = 0) | all_522_0_341 = all_0_12_12)
% 243.36/186.27 |
% 243.36/186.27 | Applying alpha-rule on (1235) yields:
% 243.36/186.27 | (1236) aNaturalNumber0(all_53_2_109) = all_522_3_344
% 243.36/186.27 | (1237) sdtasdt0(xr, all_522_1_342) = all_522_0_341
% 243.36/186.27 | (1238) aNaturalNumber0(xp) = all_522_2_343
% 243.36/186.27 | (1239) aNaturalNumber0(xr) = all_522_4_345
% 243.36/186.27 | (1240) sdtasdt0(all_53_2_109, xp) = all_522_1_342
% 243.36/186.27 | (1241) ~ (all_522_2_343 = 0) | ~ (all_522_3_344 = 0) | ~ (all_522_4_345 = 0) | all_522_0_341 = all_0_12_12
% 243.36/186.27 |
% 243.36/186.27 | Instantiating (1007) with all_524_0_346, all_524_1_347, all_524_2_348, all_524_3_349, all_524_4_350 yields:
% 243.36/186.27 | (1242) doDivides0(all_102_0_172, all_0_6_6) = all_524_0_346 & doDivides0(all_102_0_172, xp) = all_524_1_347 & aNaturalNumber0(all_102_0_172) = all_524_4_350 & aNaturalNumber0(all_0_6_6) = all_524_2_348 & aNaturalNumber0(xp) = all_524_3_349 & ( ~ (all_524_1_347 = 0) | ~ (all_524_2_348 = 0) | ~ (all_524_3_349 = 0) | ~ (all_524_4_350 = 0) | all_524_0_346 = 0)
% 243.36/186.27 |
% 243.36/186.27 | Applying alpha-rule on (1242) yields:
% 243.36/186.27 | (1243) doDivides0(all_102_0_172, all_0_6_6) = all_524_0_346
% 243.36/186.27 | (1244) aNaturalNumber0(all_0_6_6) = all_524_2_348
% 243.36/186.27 | (1245) ~ (all_524_1_347 = 0) | ~ (all_524_2_348 = 0) | ~ (all_524_3_349 = 0) | ~ (all_524_4_350 = 0) | all_524_0_346 = 0
% 243.36/186.27 | (1246) aNaturalNumber0(all_102_0_172) = all_524_4_350
% 243.36/186.27 | (1247) doDivides0(all_102_0_172, xp) = all_524_1_347
% 243.36/186.27 | (1248) aNaturalNumber0(xp) = all_524_3_349
% 243.36/186.27 |
% 243.36/186.27 | Instantiating (1015) with all_529_0_359, all_529_1_360, all_529_2_361, all_529_3_362, all_529_4_363 yields:
% 243.36/186.27 | (1249) sdtasdt0(all_0_3_3, all_529_1_360) = all_529_0_359 & sdtasdt0(xr, xp) = all_529_1_360 & aNaturalNumber0(all_0_3_3) = all_529_4_363 & aNaturalNumber0(xr) = all_529_3_362 & aNaturalNumber0(xp) = all_529_2_361 & ( ~ (all_529_2_361 = 0) | ~ (all_529_3_362 = 0) | ~ (all_529_4_363 = 0) | all_529_0_359 = all_0_12_12)
% 243.36/186.27 |
% 243.36/186.27 | Applying alpha-rule on (1249) yields:
% 243.36/186.27 | (1250) ~ (all_529_2_361 = 0) | ~ (all_529_3_362 = 0) | ~ (all_529_4_363 = 0) | all_529_0_359 = all_0_12_12
% 243.36/186.27 | (1251) aNaturalNumber0(xr) = all_529_3_362
% 243.36/186.27 | (1252) aNaturalNumber0(all_0_3_3) = all_529_4_363
% 243.36/186.27 | (1253) aNaturalNumber0(xp) = all_529_2_361
% 243.36/186.27 | (1254) sdtasdt0(all_0_3_3, all_529_1_360) = all_529_0_359
% 243.36/186.27 | (1255) sdtasdt0(xr, xp) = all_529_1_360
% 243.36/186.27 |
% 243.36/186.27 | Instantiating (1040) with all_535_0_373, all_535_1_374, all_535_2_375, all_535_3_376, all_535_4_377 yields:
% 243.36/186.27 | (1256) doDivides0(all_102_0_172, all_0_6_6) = all_535_1_374 & doDivides0(all_102_0_172, xp) = all_535_0_373 & aNaturalNumber0(all_102_0_172) = all_535_4_377 & aNaturalNumber0(all_0_6_6) = all_535_3_376 & aNaturalNumber0(xp) = all_535_2_375 & ( ~ (all_535_1_374 = 0) | ~ (all_535_2_375 = 0) | ~ (all_535_3_376 = 0) | ~ (all_535_4_377 = 0) | all_535_0_373 = 0)
% 243.36/186.27 |
% 243.36/186.27 | Applying alpha-rule on (1256) yields:
% 243.36/186.27 | (1257) doDivides0(all_102_0_172, xp) = all_535_0_373
% 243.36/186.27 | (1258) aNaturalNumber0(all_0_6_6) = all_535_3_376
% 243.36/186.27 | (1259) ~ (all_535_1_374 = 0) | ~ (all_535_2_375 = 0) | ~ (all_535_3_376 = 0) | ~ (all_535_4_377 = 0) | all_535_0_373 = 0
% 243.36/186.27 | (1260) aNaturalNumber0(xp) = all_535_2_375
% 243.36/186.27 | (1261) aNaturalNumber0(all_102_0_172) = all_535_4_377
% 243.36/186.27 | (1262) doDivides0(all_102_0_172, all_0_6_6) = all_535_1_374
% 243.36/186.27 |
% 243.36/186.27 | Instantiating (1039) with all_537_0_378, all_537_1_379, all_537_2_380, all_537_3_381, all_537_4_382 yields:
% 243.36/186.27 | (1263) doDivides0(all_307_0_174, all_0_6_6) = all_537_1_379 & doDivides0(all_307_0_174, xp) = all_537_0_378 & aNaturalNumber0(all_307_0_174) = all_537_4_382 & aNaturalNumber0(all_0_6_6) = all_537_3_381 & aNaturalNumber0(xp) = all_537_2_380 & ( ~ (all_537_1_379 = 0) | ~ (all_537_2_380 = 0) | ~ (all_537_3_381 = 0) | ~ (all_537_4_382 = 0) | all_537_0_378 = 0)
% 243.36/186.27 |
% 243.36/186.27 | Applying alpha-rule on (1263) yields:
% 243.36/186.27 | (1264) doDivides0(all_307_0_174, xp) = all_537_0_378
% 243.36/186.27 | (1265) doDivides0(all_307_0_174, all_0_6_6) = all_537_1_379
% 243.36/186.27 | (1266) aNaturalNumber0(all_307_0_174) = all_537_4_382
% 243.36/186.27 | (1267) ~ (all_537_1_379 = 0) | ~ (all_537_2_380 = 0) | ~ (all_537_3_381 = 0) | ~ (all_537_4_382 = 0) | all_537_0_378 = 0
% 243.36/186.27 | (1268) aNaturalNumber0(xp) = all_537_2_380
% 243.36/186.27 | (1269) aNaturalNumber0(all_0_6_6) = all_537_3_381
% 243.36/186.27 |
% 243.36/186.27 | Instantiating (1038) with all_539_0_383, all_539_1_384, all_539_2_385, all_539_3_386, all_539_4_387 yields:
% 243.36/186.27 | (1270) doDivides0(xr, all_0_6_6) = all_539_1_384 & doDivides0(xr, xp) = all_539_0_383 & aNaturalNumber0(all_0_6_6) = all_539_3_386 & aNaturalNumber0(xr) = all_539_4_387 & aNaturalNumber0(xp) = all_539_2_385 & ( ~ (all_539_1_384 = 0) | ~ (all_539_2_385 = 0) | ~ (all_539_3_386 = 0) | ~ (all_539_4_387 = 0) | all_539_0_383 = 0)
% 243.36/186.27 |
% 243.36/186.27 | Applying alpha-rule on (1270) yields:
% 243.36/186.27 | (1271) aNaturalNumber0(xp) = all_539_2_385
% 243.36/186.27 | (1272) aNaturalNumber0(all_0_6_6) = all_539_3_386
% 243.36/186.27 | (1273) aNaturalNumber0(xr) = all_539_4_387
% 243.36/186.27 | (1274) ~ (all_539_1_384 = 0) | ~ (all_539_2_385 = 0) | ~ (all_539_3_386 = 0) | ~ (all_539_4_387 = 0) | all_539_0_383 = 0
% 243.36/186.27 | (1275) doDivides0(xr, xp) = all_539_0_383
% 243.36/186.27 | (1276) doDivides0(xr, all_0_6_6) = all_539_1_384
% 243.36/186.27 |
% 243.36/186.27 | Instantiating (1041) with all_541_0_388, all_541_1_389, all_541_2_390, all_541_3_391, all_541_4_392 yields:
% 243.36/186.27 | (1277) doDivides0(xr, all_43_2_77) = all_541_0_388 & doDivides0(xr, xp) = all_541_1_389 & aNaturalNumber0(all_43_2_77) = all_541_2_390 & aNaturalNumber0(xr) = all_541_4_392 & aNaturalNumber0(xp) = all_541_3_391 & ( ~ (all_541_1_389 = 0) | ~ (all_541_2_390 = 0) | ~ (all_541_3_391 = 0) | ~ (all_541_4_392 = 0) | all_541_0_388 = 0)
% 243.36/186.27 |
% 243.36/186.27 | Applying alpha-rule on (1277) yields:
% 243.36/186.27 | (1278) aNaturalNumber0(xr) = all_541_4_392
% 243.36/186.27 | (1279) aNaturalNumber0(all_43_2_77) = all_541_2_390
% 243.36/186.27 | (1280) doDivides0(xr, all_43_2_77) = all_541_0_388
% 243.36/186.27 | (1281) aNaturalNumber0(xp) = all_541_3_391
% 243.36/186.27 | (1282) ~ (all_541_1_389 = 0) | ~ (all_541_2_390 = 0) | ~ (all_541_3_391 = 0) | ~ (all_541_4_392 = 0) | all_541_0_388 = 0
% 243.36/186.27 | (1283) doDivides0(xr, xp) = all_541_1_389
% 243.36/186.27 |
% 243.36/186.27 | Instantiating (1048) with all_543_0_393, all_543_1_394, all_543_2_395, all_543_3_396, all_543_4_397, all_543_5_398, all_543_6_399, all_543_7_400, all_543_8_401, all_543_9_402, all_543_10_403, all_543_11_404, all_543_12_405, all_543_13_406, all_543_14_407 yields:
% 243.36/186.27 | (1284) isPrime0(all_43_2_77) = all_543_11_404 & doDivides0(all_43_2_77, all_543_10_403) = all_543_9_402 & doDivides0(all_43_2_77, all_0_1_1) = all_543_7_400 & doDivides0(all_43_2_77, xn) = all_543_6_399 & iLess0(xk, all_0_13_13) = all_543_8_401 & sdtasdt0(all_0_1_1, xn) = all_543_10_403 & aNaturalNumber0(all_43_2_77) = all_543_12_405 & aNaturalNumber0(all_0_1_1) = all_543_14_407 & aNaturalNumber0(xn) = all_543_13_406 & ( ~ (all_543_8_401 = 0) | ~ (all_543_12_405 = 0) | ~ (all_543_13_406 = 0) | ~ (all_543_14_407 = 0) | (all_543_3_396 = all_0_1_1 & all_543_4_397 = 0 & all_543_7_400 = 0 & sdtasdt0(all_43_2_77, all_543_5_398) = all_0_1_1 & aNaturalNumber0(all_543_5_398) = 0) | (all_543_3_396 = xn & all_543_4_397 = 0 & all_543_6_399 = 0 & sdtasdt0(all_43_2_77, all_543_5_398) = xn & aNaturalNumber0(all_543_5_398) = 0) | ( ~ (all_543_9_402 = 0) & ! [v0] : ( ~ (sdtasdt0(all_43_2_77, v0) = all_543_10_403) | ? [v1] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1))) | ( ~ (all_543_11_404 = 0) & (all_43_2_77 = sz10 | all_43_2_77 = sz00 | (all_543_0_393 = all_43_2_77 & all_543_1_394 = 0 & all_543_3_396 = 0 & all_543_4_397 = 0 & ~ (all_543_5_398 = all_43_2_77) & ~ (all_543_5_398 = sz10) & doDivides0(all_543_5_398, all_43_2_77) = 0 & sdtasdt0(all_543_5_398, all_543_2_395) = all_43_2_77 & aNaturalNumber0(all_543_2_395) = 0 & aNaturalNumber0(all_543_5_398) = 0))))
% 243.36/186.27 |
% 243.36/186.27 | Applying alpha-rule on (1284) yields:
% 243.36/186.27 | (1285) aNaturalNumber0(xn) = all_543_13_406
% 243.36/186.28 | (1286) iLess0(xk, all_0_13_13) = all_543_8_401
% 243.36/186.28 | (1287) doDivides0(all_43_2_77, all_543_10_403) = all_543_9_402
% 243.36/186.28 | (1288) sdtasdt0(all_0_1_1, xn) = all_543_10_403
% 243.36/186.28 | (1289) doDivides0(all_43_2_77, all_0_1_1) = all_543_7_400
% 243.36/186.28 | (1290) aNaturalNumber0(all_43_2_77) = all_543_12_405
% 243.36/186.28 | (1291) doDivides0(all_43_2_77, xn) = all_543_6_399
% 243.36/186.28 | (1292) ~ (all_543_8_401 = 0) | ~ (all_543_12_405 = 0) | ~ (all_543_13_406 = 0) | ~ (all_543_14_407 = 0) | (all_543_3_396 = all_0_1_1 & all_543_4_397 = 0 & all_543_7_400 = 0 & sdtasdt0(all_43_2_77, all_543_5_398) = all_0_1_1 & aNaturalNumber0(all_543_5_398) = 0) | (all_543_3_396 = xn & all_543_4_397 = 0 & all_543_6_399 = 0 & sdtasdt0(all_43_2_77, all_543_5_398) = xn & aNaturalNumber0(all_543_5_398) = 0) | ( ~ (all_543_9_402 = 0) & ! [v0] : ( ~ (sdtasdt0(all_43_2_77, v0) = all_543_10_403) | ? [v1] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1))) | ( ~ (all_543_11_404 = 0) & (all_43_2_77 = sz10 | all_43_2_77 = sz00 | (all_543_0_393 = all_43_2_77 & all_543_1_394 = 0 & all_543_3_396 = 0 & all_543_4_397 = 0 & ~ (all_543_5_398 = all_43_2_77) & ~ (all_543_5_398 = sz10) & doDivides0(all_543_5_398, all_43_2_77) = 0 & sdtasdt0(all_543_5_398, all_543_2_395) = all_43_2_77 & aNaturalNumber0(all_543_2_395) = 0 & aNaturalNumber0(all_543_5_398) = 0)))
% 243.36/186.28 | (1293) aNaturalNumber0(all_0_1_1) = all_543_14_407
% 243.36/186.28 | (1294) isPrime0(all_43_2_77) = all_543_11_404
% 243.36/186.28 |
% 243.36/186.28 | Instantiating (1088) with all_545_0_408, all_545_1_409, all_545_2_410, all_545_3_411, all_545_4_412, all_545_5_413, all_545_6_414, all_545_7_415, all_545_8_416, all_545_9_417, all_545_10_418, all_545_11_419, all_545_12_420, all_545_13_421, all_545_14_422 yields:
% 243.36/186.28 | (1295) isPrime0(all_0_6_6) = all_545_11_419 & doDivides0(all_0_6_6, all_545_10_418) = all_545_9_417 & doDivides0(all_0_6_6, all_42_2_74) = all_545_6_414 & doDivides0(all_0_6_6, xn) = all_545_7_415 & iLess0(xk, all_0_13_13) = all_545_8_416 & sdtasdt0(xn, all_42_2_74) = all_545_10_418 & aNaturalNumber0(all_42_2_74) = all_545_13_421 & aNaturalNumber0(all_0_6_6) = all_545_12_420 & aNaturalNumber0(xn) = all_545_14_422 & ( ~ (all_545_8_416 = 0) | ~ (all_545_12_420 = 0) | ~ (all_545_13_421 = 0) | ~ (all_545_14_422 = 0) | (all_545_3_411 = all_42_2_74 & all_545_4_412 = 0 & all_545_6_414 = 0 & sdtasdt0(all_0_6_6, all_545_5_413) = all_42_2_74 & aNaturalNumber0(all_545_5_413) = 0) | (all_545_3_411 = xn & all_545_4_412 = 0 & all_545_7_415 = 0 & sdtasdt0(all_0_6_6, all_545_5_413) = xn & aNaturalNumber0(all_545_5_413) = 0) | ( ~ (all_545_9_417 = 0) & ! [v0] : ( ~ (sdtasdt0(all_0_6_6, v0) = all_545_10_418) | ? [v1] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1))) | ( ~ (all_545_11_419 = 0) & (all_0_6_6 = sz10 | all_0_6_6 = sz00 | (all_545_0_408 = all_0_6_6 & all_545_1_409 = 0 & all_545_3_411 = 0 & all_545_4_412 = 0 & ~ (all_545_5_413 = all_0_6_6) & ~ (all_545_5_413 = sz10) & doDivides0(all_545_5_413, all_0_6_6) = 0 & sdtasdt0(all_545_5_413, all_545_2_410) = all_0_6_6 & aNaturalNumber0(all_545_2_410) = 0 & aNaturalNumber0(all_545_5_413) = 0))))
% 243.36/186.28 |
% 243.36/186.28 | Applying alpha-rule on (1295) yields:
% 243.36/186.28 | (1296) doDivides0(all_0_6_6, all_42_2_74) = all_545_6_414
% 243.36/186.28 | (1297) aNaturalNumber0(all_0_6_6) = all_545_12_420
% 243.36/186.28 | (1298) doDivides0(all_0_6_6, all_545_10_418) = all_545_9_417
% 243.36/186.28 | (1299) isPrime0(all_0_6_6) = all_545_11_419
% 243.36/186.28 | (1300) doDivides0(all_0_6_6, xn) = all_545_7_415
% 243.36/186.28 | (1301) sdtasdt0(xn, all_42_2_74) = all_545_10_418
% 243.36/186.28 | (1302) ~ (all_545_8_416 = 0) | ~ (all_545_12_420 = 0) | ~ (all_545_13_421 = 0) | ~ (all_545_14_422 = 0) | (all_545_3_411 = all_42_2_74 & all_545_4_412 = 0 & all_545_6_414 = 0 & sdtasdt0(all_0_6_6, all_545_5_413) = all_42_2_74 & aNaturalNumber0(all_545_5_413) = 0) | (all_545_3_411 = xn & all_545_4_412 = 0 & all_545_7_415 = 0 & sdtasdt0(all_0_6_6, all_545_5_413) = xn & aNaturalNumber0(all_545_5_413) = 0) | ( ~ (all_545_9_417 = 0) & ! [v0] : ( ~ (sdtasdt0(all_0_6_6, v0) = all_545_10_418) | ? [v1] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1))) | ( ~ (all_545_11_419 = 0) & (all_0_6_6 = sz10 | all_0_6_6 = sz00 | (all_545_0_408 = all_0_6_6 & all_545_1_409 = 0 & all_545_3_411 = 0 & all_545_4_412 = 0 & ~ (all_545_5_413 = all_0_6_6) & ~ (all_545_5_413 = sz10) & doDivides0(all_545_5_413, all_0_6_6) = 0 & sdtasdt0(all_545_5_413, all_545_2_410) = all_0_6_6 & aNaturalNumber0(all_545_2_410) = 0 & aNaturalNumber0(all_545_5_413) = 0)))
% 243.36/186.28 | (1303) iLess0(xk, all_0_13_13) = all_545_8_416
% 243.36/186.28 | (1304) aNaturalNumber0(xn) = all_545_14_422
% 243.36/186.28 | (1305) aNaturalNumber0(all_42_2_74) = all_545_13_421
% 243.36/186.28 |
% 243.36/186.28 | Instantiating (1091) with all_547_0_423, all_547_1_424, all_547_2_425, all_547_3_426, all_547_4_427 yields:
% 243.36/186.28 | (1306) sdtpldt0(all_42_2_74, all_43_2_77) = all_547_1_424 & sdtpldt0(xn, all_547_1_424) = all_547_0_423 & aNaturalNumber0(all_43_2_77) = all_547_2_425 & aNaturalNumber0(all_42_2_74) = all_547_3_426 & aNaturalNumber0(xn) = all_547_4_427 & ( ~ (all_547_2_425 = 0) | ~ (all_547_3_426 = 0) | ~ (all_547_4_427 = 0) | all_547_0_423 = xk)
% 243.36/186.28 |
% 243.36/186.28 | Applying alpha-rule on (1306) yields:
% 243.36/186.28 | (1307) aNaturalNumber0(all_42_2_74) = all_547_3_426
% 243.36/186.28 | (1308) aNaturalNumber0(xn) = all_547_4_427
% 243.36/186.28 | (1309) sdtpldt0(xn, all_547_1_424) = all_547_0_423
% 243.36/186.28 | (1310) sdtpldt0(all_42_2_74, all_43_2_77) = all_547_1_424
% 243.36/186.28 | (1311) ~ (all_547_2_425 = 0) | ~ (all_547_3_426 = 0) | ~ (all_547_4_427 = 0) | all_547_0_423 = xk
% 243.36/186.28 | (1312) aNaturalNumber0(all_43_2_77) = all_547_2_425
% 243.36/186.28 |
% 243.36/186.28 | Instantiating (1090) with all_549_0_428, all_549_1_429, all_549_2_430, all_549_3_431, all_549_4_432, all_549_5_433, all_549_6_434, all_549_7_435, all_549_8_436, all_549_9_437, all_549_10_438, all_549_11_439, all_549_12_440, all_549_13_441, all_549_14_442 yields:
% 243.36/186.28 | (1313) isPrime0(all_43_2_77) = all_549_11_439 & doDivides0(all_43_2_77, all_549_10_438) = all_549_9_437 & doDivides0(all_43_2_77, all_42_2_74) = all_549_6_434 & doDivides0(all_43_2_77, xn) = all_549_7_435 & iLess0(xk, all_0_13_13) = all_549_8_436 & sdtasdt0(xn, all_42_2_74) = all_549_10_438 & aNaturalNumber0(all_43_2_77) = all_549_12_440 & aNaturalNumber0(all_42_2_74) = all_549_13_441 & aNaturalNumber0(xn) = all_549_14_442 & ( ~ (all_549_8_436 = 0) | ~ (all_549_12_440 = 0) | ~ (all_549_13_441 = 0) | ~ (all_549_14_442 = 0) | (all_549_3_431 = all_42_2_74 & all_549_4_432 = 0 & all_549_6_434 = 0 & sdtasdt0(all_43_2_77, all_549_5_433) = all_42_2_74 & aNaturalNumber0(all_549_5_433) = 0) | (all_549_3_431 = xn & all_549_4_432 = 0 & all_549_7_435 = 0 & sdtasdt0(all_43_2_77, all_549_5_433) = xn & aNaturalNumber0(all_549_5_433) = 0) | ( ~ (all_549_9_437 = 0) & ! [v0] : ( ~ (sdtasdt0(all_43_2_77, v0) = all_549_10_438) | ? [v1] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1))) | ( ~ (all_549_11_439 = 0) & (all_43_2_77 = sz10 | all_43_2_77 = sz00 | (all_549_0_428 = all_43_2_77 & all_549_1_429 = 0 & all_549_3_431 = 0 & all_549_4_432 = 0 & ~ (all_549_5_433 = all_43_2_77) & ~ (all_549_5_433 = sz10) & doDivides0(all_549_5_433, all_43_2_77) = 0 & sdtasdt0(all_549_5_433, all_549_2_430) = all_43_2_77 & aNaturalNumber0(all_549_2_430) = 0 & aNaturalNumber0(all_549_5_433) = 0))))
% 243.36/186.28 |
% 243.36/186.28 | Applying alpha-rule on (1313) yields:
% 243.36/186.28 | (1314) doDivides0(all_43_2_77, xn) = all_549_7_435
% 243.36/186.28 | (1315) ~ (all_549_8_436 = 0) | ~ (all_549_12_440 = 0) | ~ (all_549_13_441 = 0) | ~ (all_549_14_442 = 0) | (all_549_3_431 = all_42_2_74 & all_549_4_432 = 0 & all_549_6_434 = 0 & sdtasdt0(all_43_2_77, all_549_5_433) = all_42_2_74 & aNaturalNumber0(all_549_5_433) = 0) | (all_549_3_431 = xn & all_549_4_432 = 0 & all_549_7_435 = 0 & sdtasdt0(all_43_2_77, all_549_5_433) = xn & aNaturalNumber0(all_549_5_433) = 0) | ( ~ (all_549_9_437 = 0) & ! [v0] : ( ~ (sdtasdt0(all_43_2_77, v0) = all_549_10_438) | ? [v1] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1))) | ( ~ (all_549_11_439 = 0) & (all_43_2_77 = sz10 | all_43_2_77 = sz00 | (all_549_0_428 = all_43_2_77 & all_549_1_429 = 0 & all_549_3_431 = 0 & all_549_4_432 = 0 & ~ (all_549_5_433 = all_43_2_77) & ~ (all_549_5_433 = sz10) & doDivides0(all_549_5_433, all_43_2_77) = 0 & sdtasdt0(all_549_5_433, all_549_2_430) = all_43_2_77 & aNaturalNumber0(all_549_2_430) = 0 & aNaturalNumber0(all_549_5_433) = 0)))
% 243.36/186.28 | (1316) iLess0(xk, all_0_13_13) = all_549_8_436
% 243.36/186.28 | (1317) aNaturalNumber0(xn) = all_549_14_442
% 243.36/186.28 | (1318) doDivides0(all_43_2_77, all_42_2_74) = all_549_6_434
% 243.36/186.28 | (1319) aNaturalNumber0(all_43_2_77) = all_549_12_440
% 243.36/186.28 | (1320) doDivides0(all_43_2_77, all_549_10_438) = all_549_9_437
% 243.36/186.28 | (1321) aNaturalNumber0(all_42_2_74) = all_549_13_441
% 243.36/186.28 | (1322) sdtasdt0(xn, all_42_2_74) = all_549_10_438
% 243.36/186.28 | (1323) isPrime0(all_43_2_77) = all_549_11_439
% 243.36/186.28 |
% 243.36/186.28 | Instantiating (1084) with all_551_0_443, all_551_1_444, all_551_2_445 yields:
% 243.36/186.28 | (1324) aNaturalNumber0(all_62_1_138) = all_551_1_444 & aNaturalNumber0(xk) = all_551_0_443 & aNaturalNumber0(xn) = all_551_2_445 & ( ~ (all_551_1_444 = 0) | ~ (all_551_2_445 = 0) | all_551_0_443 = 0)
% 243.36/186.28 |
% 243.36/186.28 | Applying alpha-rule on (1324) yields:
% 243.36/186.28 | (1325) aNaturalNumber0(all_62_1_138) = all_551_1_444
% 243.36/186.28 | (1326) aNaturalNumber0(xk) = all_551_0_443
% 243.36/186.28 | (1327) aNaturalNumber0(xn) = all_551_2_445
% 243.36/186.28 | (1328) ~ (all_551_1_444 = 0) | ~ (all_551_2_445 = 0) | all_551_0_443 = 0
% 243.36/186.28 |
% 243.36/186.28 | Instantiating (1078) with all_553_0_446, all_553_1_447, all_553_2_448, all_553_3_449, all_553_4_450 yields:
% 243.36/186.28 | (1329) sdtpldt0(xm, all_553_1_447) = all_553_0_446 & sdtpldt0(xn, xp) = all_553_1_447 & aNaturalNumber0(xp) = all_553_2_448 & aNaturalNumber0(xm) = all_553_4_450 & aNaturalNumber0(xn) = all_553_3_449 & ( ~ (all_553_2_448 = 0) | ~ (all_553_3_449 = 0) | ~ (all_553_4_450 = 0) | all_553_0_446 = all_0_13_13)
% 243.36/186.28 |
% 243.36/186.28 | Applying alpha-rule on (1329) yields:
% 243.36/186.28 | (1330) sdtpldt0(xn, xp) = all_553_1_447
% 243.36/186.28 | (1331) aNaturalNumber0(xp) = all_553_2_448
% 243.36/186.28 | (1332) ~ (all_553_2_448 = 0) | ~ (all_553_3_449 = 0) | ~ (all_553_4_450 = 0) | all_553_0_446 = all_0_13_13
% 243.36/186.28 | (1333) sdtpldt0(xm, all_553_1_447) = all_553_0_446
% 243.36/186.28 | (1334) aNaturalNumber0(xm) = all_553_4_450
% 243.36/186.28 | (1335) aNaturalNumber0(xn) = all_553_3_449
% 243.36/186.28 |
% 243.36/186.28 | Instantiating (1077) with all_555_0_451, all_555_1_452, all_555_2_453, all_555_3_454, all_555_4_455, all_555_5_456, all_555_6_457, all_555_7_458, all_555_8_459, all_555_9_460, all_555_10_461, all_555_11_462, all_555_12_463, all_555_13_464, all_555_14_465 yields:
% 243.36/186.28 | (1336) isPrime0(xp) = all_555_11_462 & doDivides0(xp, all_555_10_461) = all_555_9_460 & doDivides0(xp, xm) = all_555_7_458 & doDivides0(xp, xn) = all_555_6_457 & iLess0(all_0_13_13, all_0_13_13) = all_555_8_459 & sdtasdt0(xm, xn) = all_555_10_461 & aNaturalNumber0(xp) = all_555_12_463 & aNaturalNumber0(xm) = all_555_14_465 & aNaturalNumber0(xn) = all_555_13_464 & ( ~ (all_555_8_459 = 0) | ~ (all_555_12_463 = 0) | ~ (all_555_13_464 = 0) | ~ (all_555_14_465 = 0) | (all_555_3_454 = xm & all_555_4_455 = 0 & all_555_7_458 = 0 & sdtasdt0(xp, all_555_5_456) = xm & aNaturalNumber0(all_555_5_456) = 0) | (all_555_3_454 = xn & all_555_4_455 = 0 & all_555_6_457 = 0 & sdtasdt0(xp, all_555_5_456) = xn & aNaturalNumber0(all_555_5_456) = 0) | ( ~ (all_555_9_460 = 0) & ! [v0] : ( ~ (sdtasdt0(xp, v0) = all_555_10_461) | ? [v1] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1))) | ( ~ (all_555_11_462 = 0) & (xp = sz10 | xp = sz00 | (all_555_0_451 = xp & all_555_1_452 = 0 & all_555_3_454 = 0 & all_555_4_455 = 0 & ~ (all_555_5_456 = xp) & ~ (all_555_5_456 = sz10) & doDivides0(all_555_5_456, xp) = 0 & sdtasdt0(all_555_5_456, all_555_2_453) = xp & aNaturalNumber0(all_555_2_453) = 0 & aNaturalNumber0(all_555_5_456) = 0))))
% 243.36/186.28 |
% 243.36/186.28 | Applying alpha-rule on (1336) yields:
% 243.36/186.28 | (1337) ~ (all_555_8_459 = 0) | ~ (all_555_12_463 = 0) | ~ (all_555_13_464 = 0) | ~ (all_555_14_465 = 0) | (all_555_3_454 = xm & all_555_4_455 = 0 & all_555_7_458 = 0 & sdtasdt0(xp, all_555_5_456) = xm & aNaturalNumber0(all_555_5_456) = 0) | (all_555_3_454 = xn & all_555_4_455 = 0 & all_555_6_457 = 0 & sdtasdt0(xp, all_555_5_456) = xn & aNaturalNumber0(all_555_5_456) = 0) | ( ~ (all_555_9_460 = 0) & ! [v0] : ( ~ (sdtasdt0(xp, v0) = all_555_10_461) | ? [v1] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1))) | ( ~ (all_555_11_462 = 0) & (xp = sz10 | xp = sz00 | (all_555_0_451 = xp & all_555_1_452 = 0 & all_555_3_454 = 0 & all_555_4_455 = 0 & ~ (all_555_5_456 = xp) & ~ (all_555_5_456 = sz10) & doDivides0(all_555_5_456, xp) = 0 & sdtasdt0(all_555_5_456, all_555_2_453) = xp & aNaturalNumber0(all_555_2_453) = 0 & aNaturalNumber0(all_555_5_456) = 0)))
% 243.36/186.28 | (1338) isPrime0(xp) = all_555_11_462
% 243.36/186.28 | (1339) doDivides0(xp, all_555_10_461) = all_555_9_460
% 243.36/186.28 | (1340) sdtasdt0(xm, xn) = all_555_10_461
% 243.36/186.28 | (1341) doDivides0(xp, xm) = all_555_7_458
% 243.36/186.28 | (1342) aNaturalNumber0(xn) = all_555_13_464
% 243.36/186.28 | (1343) iLess0(all_0_13_13, all_0_13_13) = all_555_8_459
% 243.36/186.28 | (1344) doDivides0(xp, xn) = all_555_6_457
% 243.36/186.28 | (1345) aNaturalNumber0(xm) = all_555_14_465
% 243.36/186.28 | (1346) aNaturalNumber0(xp) = all_555_12_463
% 243.36/186.28 |
% 243.36/186.28 | Instantiating (1076) with all_557_0_466, all_557_1_467, all_557_2_468 yields:
% 243.36/186.28 | (1347) aNaturalNumber0(all_49_1_100) = all_557_0_466 & aNaturalNumber0(xp) = all_557_1_467 & aNaturalNumber0(xm) = all_557_2_468 & ( ~ (all_557_1_467 = 0) | ~ (all_557_2_468 = 0) | all_557_0_466 = 0)
% 243.36/186.28 |
% 243.36/186.28 | Applying alpha-rule on (1347) yields:
% 243.36/186.28 | (1348) aNaturalNumber0(all_49_1_100) = all_557_0_466
% 243.36/186.28 | (1349) aNaturalNumber0(xp) = all_557_1_467
% 243.36/186.28 | (1350) aNaturalNumber0(xm) = all_557_2_468
% 243.36/186.28 | (1351) ~ (all_557_1_467 = 0) | ~ (all_557_2_468 = 0) | all_557_0_466 = 0
% 243.36/186.28 |
% 243.36/186.28 | Instantiating (1075) with all_559_0_469, all_559_1_470, all_559_2_471 yields:
% 243.36/186.28 | (1352) sdtpldt0(xp, xm) = all_559_0_469 & aNaturalNumber0(xp) = all_559_1_470 & aNaturalNumber0(xm) = all_559_2_471 & ( ~ (all_559_1_470 = 0) | ~ (all_559_2_471 = 0) | all_559_0_469 = all_49_1_100)
% 243.36/186.28 |
% 243.36/186.28 | Applying alpha-rule on (1352) yields:
% 243.36/186.28 | (1353) sdtpldt0(xp, xm) = all_559_0_469
% 243.36/186.28 | (1354) aNaturalNumber0(xp) = all_559_1_470
% 243.36/186.28 | (1355) aNaturalNumber0(xm) = all_559_2_471
% 243.36/186.28 | (1356) ~ (all_559_1_470 = 0) | ~ (all_559_2_471 = 0) | all_559_0_469 = all_49_1_100
% 243.36/186.28 |
% 243.36/186.28 | Instantiating (1083) with all_561_0_472, all_561_1_473, all_561_2_474 yields:
% 243.36/186.28 | (1357) sdtpldt0(all_62_1_138, xn) = all_561_0_472 & aNaturalNumber0(all_62_1_138) = all_561_1_473 & aNaturalNumber0(xn) = all_561_2_474 & ( ~ (all_561_1_473 = 0) | ~ (all_561_2_474 = 0) | all_561_0_472 = xk)
% 243.36/186.28 |
% 243.36/186.28 | Applying alpha-rule on (1357) yields:
% 243.36/186.28 | (1358) sdtpldt0(all_62_1_138, xn) = all_561_0_472
% 243.36/186.28 | (1359) aNaturalNumber0(all_62_1_138) = all_561_1_473
% 243.36/186.28 | (1360) aNaturalNumber0(xn) = all_561_2_474
% 243.36/186.28 | (1361) ~ (all_561_1_473 = 0) | ~ (all_561_2_474 = 0) | all_561_0_472 = xk
% 243.36/186.28 |
% 243.36/186.28 | Instantiating (1082) with all_563_0_475, all_563_1_476, all_563_2_477, all_563_3_478, all_563_4_479 yields:
% 243.36/186.28 | (1362) doDivides0(all_102_0_172, all_62_1_138) = all_563_0_475 & doDivides0(all_102_0_172, xn) = all_563_1_476 & aNaturalNumber0(all_102_0_172) = all_563_4_479 & aNaturalNumber0(all_62_1_138) = all_563_2_477 & aNaturalNumber0(xn) = all_563_3_478 & ( ~ (all_563_1_476 = 0) | ~ (all_563_2_477 = 0) | ~ (all_563_3_478 = 0) | ~ (all_563_4_479 = 0) | all_563_0_475 = 0)
% 243.36/186.28 |
% 243.36/186.29 | Applying alpha-rule on (1362) yields:
% 243.36/186.29 | (1363) aNaturalNumber0(all_102_0_172) = all_563_4_479
% 243.36/186.29 | (1364) aNaturalNumber0(xn) = all_563_3_478
% 243.36/186.29 | (1365) ~ (all_563_1_476 = 0) | ~ (all_563_2_477 = 0) | ~ (all_563_3_478 = 0) | ~ (all_563_4_479 = 0) | all_563_0_475 = 0
% 243.36/186.29 | (1366) aNaturalNumber0(all_62_1_138) = all_563_2_477
% 243.36/186.29 | (1367) doDivides0(all_102_0_172, all_62_1_138) = all_563_0_475
% 243.36/186.29 | (1368) doDivides0(all_102_0_172, xn) = all_563_1_476
% 243.36/186.29 |
% 243.36/186.29 | Instantiating (1081) with all_565_0_480, all_565_1_481, all_565_2_482, all_565_3_483, all_565_4_484 yields:
% 243.36/186.29 | (1369) doDivides0(all_307_0_174, all_62_1_138) = all_565_0_480 & doDivides0(all_307_0_174, xn) = all_565_1_481 & aNaturalNumber0(all_307_0_174) = all_565_4_484 & aNaturalNumber0(all_62_1_138) = all_565_2_482 & aNaturalNumber0(xn) = all_565_3_483 & ( ~ (all_565_1_481 = 0) | ~ (all_565_2_482 = 0) | ~ (all_565_3_483 = 0) | ~ (all_565_4_484 = 0) | all_565_0_480 = 0)
% 243.36/186.29 |
% 243.36/186.29 | Applying alpha-rule on (1369) yields:
% 243.36/186.29 | (1370) aNaturalNumber0(xn) = all_565_3_483
% 243.36/186.29 | (1371) doDivides0(all_307_0_174, xn) = all_565_1_481
% 243.36/186.29 | (1372) ~ (all_565_1_481 = 0) | ~ (all_565_2_482 = 0) | ~ (all_565_3_483 = 0) | ~ (all_565_4_484 = 0) | all_565_0_480 = 0
% 243.36/186.29 | (1373) aNaturalNumber0(all_62_1_138) = all_565_2_482
% 243.36/186.29 | (1374) aNaturalNumber0(all_307_0_174) = all_565_4_484
% 243.36/186.29 | (1375) doDivides0(all_307_0_174, all_62_1_138) = all_565_0_480
% 243.36/186.29 |
% 243.36/186.29 | Instantiating (1087) with all_567_0_485, all_567_1_486, all_567_2_487, all_567_3_488, all_567_4_489 yields:
% 243.36/186.29 | (1376) doDivides0(all_107_0_173, all_42_2_74) = all_567_0_485 & doDivides0(all_107_0_173, xn) = all_567_1_486 & aNaturalNumber0(all_107_0_173) = all_567_4_489 & aNaturalNumber0(all_42_2_74) = all_567_2_487 & aNaturalNumber0(xn) = all_567_3_488 & ( ~ (all_567_1_486 = 0) | ~ (all_567_2_487 = 0) | ~ (all_567_3_488 = 0) | ~ (all_567_4_489 = 0) | all_567_0_485 = 0)
% 243.36/186.29 |
% 243.36/186.29 | Applying alpha-rule on (1376) yields:
% 243.36/186.29 | (1377) aNaturalNumber0(all_42_2_74) = all_567_2_487
% 243.36/186.29 | (1378) doDivides0(all_107_0_173, all_42_2_74) = all_567_0_485
% 243.36/186.29 | (1379) doDivides0(all_107_0_173, xn) = all_567_1_486
% 243.36/186.29 | (1380) aNaturalNumber0(all_107_0_173) = all_567_4_489
% 243.36/186.29 | (1381) ~ (all_567_1_486 = 0) | ~ (all_567_2_487 = 0) | ~ (all_567_3_488 = 0) | ~ (all_567_4_489 = 0) | all_567_0_485 = 0
% 243.36/186.29 | (1382) aNaturalNumber0(xn) = all_567_3_488
% 243.36/186.29 |
% 243.36/186.29 | Instantiating (1086) with all_569_0_490, all_569_1_491, all_569_2_492 yields:
% 243.36/186.29 | (1383) aNaturalNumber0(all_49_1_100) = all_569_1_491 & aNaturalNumber0(all_0_13_13) = all_569_0_490 & aNaturalNumber0(xn) = all_569_2_492 & ( ~ (all_569_1_491 = 0) | ~ (all_569_2_492 = 0) | all_569_0_490 = 0)
% 243.36/186.29 |
% 243.36/186.29 | Applying alpha-rule on (1383) yields:
% 243.36/186.29 | (1384) aNaturalNumber0(all_49_1_100) = all_569_1_491
% 243.36/186.29 | (1385) aNaturalNumber0(all_0_13_13) = all_569_0_490
% 243.36/186.29 | (1386) aNaturalNumber0(xn) = all_569_2_492
% 243.36/186.29 | (1387) ~ (all_569_1_491 = 0) | ~ (all_569_2_492 = 0) | all_569_0_490 = 0
% 243.36/186.29 |
% 243.36/186.29 | Instantiating (1085) with all_571_0_493, all_571_1_494, all_571_2_495 yields:
% 243.36/186.29 | (1388) sdtpldt0(all_49_1_100, xn) = all_571_0_493 & aNaturalNumber0(all_49_1_100) = all_571_1_494 & aNaturalNumber0(xn) = all_571_2_495 & ( ~ (all_571_1_494 = 0) | ~ (all_571_2_495 = 0) | all_571_0_493 = all_0_13_13)
% 243.36/186.29 |
% 243.36/186.29 | Applying alpha-rule on (1388) yields:
% 243.36/186.29 | (1389) sdtpldt0(all_49_1_100, xn) = all_571_0_493
% 243.36/186.29 | (1390) aNaturalNumber0(all_49_1_100) = all_571_1_494
% 243.36/186.29 | (1391) aNaturalNumber0(xn) = all_571_2_495
% 243.36/186.29 | (1392) ~ (all_571_1_494 = 0) | ~ (all_571_2_495 = 0) | all_571_0_493 = all_0_13_13
% 243.36/186.29 |
% 243.36/186.29 | Instantiating (1045) with all_573_0_496, all_573_1_497, all_573_2_498, all_573_3_499, all_573_4_500 yields:
% 243.36/186.29 | (1393) sdtpldt0(all_0_2_2, all_43_2_77) = all_573_1_497 & sdtpldt0(xm, all_573_1_497) = all_573_0_496 & aNaturalNumber0(all_43_2_77) = all_573_2_498 & aNaturalNumber0(all_0_2_2) = all_573_3_499 & aNaturalNumber0(xm) = all_573_4_500 & ( ~ (all_573_2_498 = 0) | ~ (all_573_3_499 = 0) | ~ (all_573_4_500 = 0) | all_573_0_496 = xk)
% 243.36/186.29 |
% 243.36/186.29 | Applying alpha-rule on (1393) yields:
% 243.36/186.29 | (1394) ~ (all_573_2_498 = 0) | ~ (all_573_3_499 = 0) | ~ (all_573_4_500 = 0) | all_573_0_496 = xk
% 243.36/186.29 | (1395) sdtpldt0(all_0_2_2, all_43_2_77) = all_573_1_497
% 243.36/186.29 | (1396) aNaturalNumber0(xm) = all_573_4_500
% 243.36/186.29 | (1397) aNaturalNumber0(all_43_2_77) = all_573_2_498
% 243.36/186.29 | (1398) sdtpldt0(xm, all_573_1_497) = all_573_0_496
% 243.36/186.29 | (1399) aNaturalNumber0(all_0_2_2) = all_573_3_499
% 243.36/186.29 |
% 243.36/186.29 | Instantiating (1014) with all_577_0_506, all_577_1_507, all_577_2_508, all_577_3_509, all_577_4_510 yields:
% 243.36/186.29 | (1400) sdtasdt0(all_0_3_3, xp) = all_577_1_507 & sdtasdt0(xr, all_577_1_507) = all_577_0_506 & aNaturalNumber0(all_0_3_3) = all_577_3_509 & aNaturalNumber0(xr) = all_577_4_510 & aNaturalNumber0(xp) = all_577_2_508 & ( ~ (all_577_2_508 = 0) | ~ (all_577_3_509 = 0) | ~ (all_577_4_510 = 0) | all_577_0_506 = all_0_12_12)
% 243.36/186.29 |
% 243.36/186.29 | Applying alpha-rule on (1400) yields:
% 243.36/186.29 | (1401) aNaturalNumber0(xp) = all_577_2_508
% 243.36/186.29 | (1402) sdtasdt0(xr, all_577_1_507) = all_577_0_506
% 243.36/186.29 | (1403) aNaturalNumber0(all_0_3_3) = all_577_3_509
% 243.36/186.29 | (1404) ~ (all_577_2_508 = 0) | ~ (all_577_3_509 = 0) | ~ (all_577_4_510 = 0) | all_577_0_506 = all_0_12_12
% 243.36/186.29 | (1405) aNaturalNumber0(xr) = all_577_4_510
% 243.36/186.29 | (1406) sdtasdt0(all_0_3_3, xp) = all_577_1_507
% 243.36/186.29 |
% 243.36/186.29 | Instantiating (1037) with all_579_0_511, all_579_1_512, all_579_2_513, all_579_3_514, all_579_4_515 yields:
% 243.36/186.29 | (1407) sdtpldt0(all_0_2_2, all_579_1_512) = all_579_0_511 & sdtpldt0(xm, all_0_6_6) = all_579_1_512 & aNaturalNumber0(all_0_2_2) = all_579_4_515 & aNaturalNumber0(all_0_6_6) = all_579_2_513 & aNaturalNumber0(xm) = all_579_3_514 & ( ~ (all_579_2_513 = 0) | ~ (all_579_3_514 = 0) | ~ (all_579_4_515 = 0) | all_579_0_511 = xk)
% 243.36/186.29 |
% 243.36/186.29 | Applying alpha-rule on (1407) yields:
% 243.36/186.29 | (1408) sdtpldt0(xm, all_0_6_6) = all_579_1_512
% 243.36/186.29 | (1409) aNaturalNumber0(all_0_2_2) = all_579_4_515
% 243.36/186.29 | (1410) ~ (all_579_2_513 = 0) | ~ (all_579_3_514 = 0) | ~ (all_579_4_515 = 0) | all_579_0_511 = xk
% 243.36/186.29 | (1411) sdtpldt0(all_0_2_2, all_579_1_512) = all_579_0_511
% 243.36/186.29 | (1412) aNaturalNumber0(xm) = all_579_3_514
% 243.36/186.29 | (1413) aNaturalNumber0(all_0_6_6) = all_579_2_513
% 243.36/186.29 |
% 243.36/186.29 | Instantiating (1036) with all_581_0_516, all_581_1_517, all_581_2_518, all_581_3_519, all_581_4_520, all_581_5_521, all_581_6_522, all_581_7_523, all_581_8_524, all_581_9_525, all_581_10_526, all_581_11_527, all_581_12_528, all_581_13_529, all_581_14_530 yields:
% 243.36/186.29 | (1414) isPrime0(all_0_6_6) = all_581_11_527 & doDivides0(all_0_6_6, all_581_10_526) = all_581_9_525 & doDivides0(all_0_6_6, all_0_2_2) = all_581_7_523 & doDivides0(all_0_6_6, xm) = all_581_6_522 & iLess0(xk, all_0_13_13) = all_581_8_524 & sdtasdt0(all_0_2_2, xm) = all_581_10_526 & aNaturalNumber0(all_0_2_2) = all_581_14_530 & aNaturalNumber0(all_0_6_6) = all_581_12_528 & aNaturalNumber0(xm) = all_581_13_529 & ( ~ (all_581_8_524 = 0) | ~ (all_581_12_528 = 0) | ~ (all_581_13_529 = 0) | ~ (all_581_14_530 = 0) | (all_581_3_519 = all_0_2_2 & all_581_4_520 = 0 & all_581_7_523 = 0 & sdtasdt0(all_0_6_6, all_581_5_521) = all_0_2_2 & aNaturalNumber0(all_581_5_521) = 0) | (all_581_3_519 = xm & all_581_4_520 = 0 & all_581_6_522 = 0 & sdtasdt0(all_0_6_6, all_581_5_521) = xm & aNaturalNumber0(all_581_5_521) = 0) | ( ~ (all_581_9_525 = 0) & ! [v0] : ( ~ (sdtasdt0(all_0_6_6, v0) = all_581_10_526) | ? [v1] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1))) | ( ~ (all_581_11_527 = 0) & (all_0_6_6 = sz10 | all_0_6_6 = sz00 | (all_581_0_516 = all_0_6_6 & all_581_1_517 = 0 & all_581_3_519 = 0 & all_581_4_520 = 0 & ~ (all_581_5_521 = all_0_6_6) & ~ (all_581_5_521 = sz10) & doDivides0(all_581_5_521, all_0_6_6) = 0 & sdtasdt0(all_581_5_521, all_581_2_518) = all_0_6_6 & aNaturalNumber0(all_581_2_518) = 0 & aNaturalNumber0(all_581_5_521) = 0))))
% 243.36/186.29 |
% 243.36/186.29 | Applying alpha-rule on (1414) yields:
% 243.36/186.29 | (1415) aNaturalNumber0(xm) = all_581_13_529
% 243.36/186.29 | (1416) iLess0(xk, all_0_13_13) = all_581_8_524
% 243.36/186.29 | (1417) doDivides0(all_0_6_6, all_581_10_526) = all_581_9_525
% 243.36/186.29 | (1418) ~ (all_581_8_524 = 0) | ~ (all_581_12_528 = 0) | ~ (all_581_13_529 = 0) | ~ (all_581_14_530 = 0) | (all_581_3_519 = all_0_2_2 & all_581_4_520 = 0 & all_581_7_523 = 0 & sdtasdt0(all_0_6_6, all_581_5_521) = all_0_2_2 & aNaturalNumber0(all_581_5_521) = 0) | (all_581_3_519 = xm & all_581_4_520 = 0 & all_581_6_522 = 0 & sdtasdt0(all_0_6_6, all_581_5_521) = xm & aNaturalNumber0(all_581_5_521) = 0) | ( ~ (all_581_9_525 = 0) & ! [v0] : ( ~ (sdtasdt0(all_0_6_6, v0) = all_581_10_526) | ? [v1] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1))) | ( ~ (all_581_11_527 = 0) & (all_0_6_6 = sz10 | all_0_6_6 = sz00 | (all_581_0_516 = all_0_6_6 & all_581_1_517 = 0 & all_581_3_519 = 0 & all_581_4_520 = 0 & ~ (all_581_5_521 = all_0_6_6) & ~ (all_581_5_521 = sz10) & doDivides0(all_581_5_521, all_0_6_6) = 0 & sdtasdt0(all_581_5_521, all_581_2_518) = all_0_6_6 & aNaturalNumber0(all_581_2_518) = 0 & aNaturalNumber0(all_581_5_521) = 0)))
% 243.36/186.29 | (1419) aNaturalNumber0(all_0_2_2) = all_581_14_530
% 243.36/186.29 | (1420) isPrime0(all_0_6_6) = all_581_11_527
% 243.36/186.29 | (1421) doDivides0(all_0_6_6, xm) = all_581_6_522
% 243.36/186.29 | (1422) doDivides0(all_0_6_6, all_0_2_2) = all_581_7_523
% 243.36/186.29 | (1423) sdtasdt0(all_0_2_2, xm) = all_581_10_526
% 243.36/186.29 | (1424) aNaturalNumber0(all_0_6_6) = all_581_12_528
% 243.36/186.29 |
% 243.36/186.29 | Instantiating (1080) with all_583_0_531, all_583_1_532, all_583_2_533, all_583_3_534, all_583_4_535 yields:
% 243.36/186.29 | (1425) doDivides0(xr, all_62_1_138) = all_583_0_531 & doDivides0(xr, xn) = all_583_1_532 & aNaturalNumber0(all_62_1_138) = all_583_2_533 & aNaturalNumber0(xr) = all_583_4_535 & aNaturalNumber0(xn) = all_583_3_534 & ( ~ (all_583_1_532 = 0) | ~ (all_583_2_533 = 0) | ~ (all_583_3_534 = 0) | ~ (all_583_4_535 = 0) | all_583_0_531 = 0)
% 243.36/186.29 |
% 243.36/186.29 | Applying alpha-rule on (1425) yields:
% 243.36/186.29 | (1426) doDivides0(xr, all_62_1_138) = all_583_0_531
% 243.36/186.29 | (1427) ~ (all_583_1_532 = 0) | ~ (all_583_2_533 = 0) | ~ (all_583_3_534 = 0) | ~ (all_583_4_535 = 0) | all_583_0_531 = 0
% 243.36/186.29 | (1428) doDivides0(xr, xn) = all_583_1_532
% 243.36/186.29 | (1429) aNaturalNumber0(xr) = all_583_4_535
% 243.36/186.29 | (1430) aNaturalNumber0(xn) = all_583_3_534
% 243.36/186.29 | (1431) aNaturalNumber0(all_62_1_138) = all_583_2_533
% 243.36/186.29 |
% 243.36/186.29 | Instantiating (1074) with all_585_0_536, all_585_1_537, all_585_2_538 yields:
% 243.36/186.29 | (1432) aNaturalNumber0(all_14_1_25) = all_585_1_537 & aNaturalNumber0(xk) = all_585_0_536 & aNaturalNumber0(xm) = all_585_2_538 & ( ~ (all_585_1_537 = 0) | ~ (all_585_2_538 = 0) | all_585_0_536 = 0)
% 243.36/186.29 |
% 243.36/186.29 | Applying alpha-rule on (1432) yields:
% 243.36/186.29 | (1433) aNaturalNumber0(all_14_1_25) = all_585_1_537
% 243.36/186.29 | (1434) aNaturalNumber0(xk) = all_585_0_536
% 243.36/186.29 | (1435) aNaturalNumber0(xm) = all_585_2_538
% 243.36/186.29 | (1436) ~ (all_585_1_537 = 0) | ~ (all_585_2_538 = 0) | all_585_0_536 = 0
% 243.36/186.29 |
% 243.36/186.29 | Instantiating (1063) with all_587_0_539, all_587_1_540, all_587_2_541, all_587_3_542, all_587_4_543 yields:
% 243.36/186.29 | (1437) sdtpldt0(all_57_2_130, all_0_6_6) = all_587_1_540 & sdtpldt0(xm, all_587_1_540) = all_587_0_539 & aNaturalNumber0(all_57_2_130) = all_587_3_542 & aNaturalNumber0(all_0_6_6) = all_587_2_541 & aNaturalNumber0(xm) = all_587_4_543 & ( ~ (all_587_2_541 = 0) | ~ (all_587_3_542 = 0) | ~ (all_587_4_543 = 0) | all_587_0_539 = xk)
% 243.36/186.29 |
% 243.36/186.29 | Applying alpha-rule on (1437) yields:
% 243.36/186.29 | (1438) aNaturalNumber0(all_57_2_130) = all_587_3_542
% 243.36/186.29 | (1439) ~ (all_587_2_541 = 0) | ~ (all_587_3_542 = 0) | ~ (all_587_4_543 = 0) | all_587_0_539 = xk
% 243.36/186.29 | (1440) aNaturalNumber0(all_0_6_6) = all_587_2_541
% 243.36/186.29 | (1441) sdtpldt0(xm, all_587_1_540) = all_587_0_539
% 243.36/186.29 | (1442) aNaturalNumber0(xm) = all_587_4_543
% 243.36/186.29 | (1443) sdtpldt0(all_57_2_130, all_0_6_6) = all_587_1_540
% 243.36/186.29 |
% 243.36/186.29 | Instantiating (1062) with all_589_0_544, all_589_1_545, all_589_2_546, all_589_3_547, all_589_4_548, all_589_5_549, all_589_6_550, all_589_7_551, all_589_8_552, all_589_9_553, all_589_10_554, all_589_11_555, all_589_12_556, all_589_13_557, all_589_14_558 yields:
% 243.36/186.29 | (1444) isPrime0(all_0_6_6) = all_589_11_555 & doDivides0(all_0_6_6, all_589_10_554) = all_589_9_553 & doDivides0(all_0_6_6, all_57_2_130) = all_589_6_550 & doDivides0(all_0_6_6, xm) = all_589_7_551 & iLess0(xk, all_0_13_13) = all_589_8_552 & sdtasdt0(xm, all_57_2_130) = all_589_10_554 & aNaturalNumber0(all_57_2_130) = all_589_13_557 & aNaturalNumber0(all_0_6_6) = all_589_12_556 & aNaturalNumber0(xm) = all_589_14_558 & ( ~ (all_589_8_552 = 0) | ~ (all_589_12_556 = 0) | ~ (all_589_13_557 = 0) | ~ (all_589_14_558 = 0) | (all_589_3_547 = all_57_2_130 & all_589_4_548 = 0 & all_589_6_550 = 0 & sdtasdt0(all_0_6_6, all_589_5_549) = all_57_2_130 & aNaturalNumber0(all_589_5_549) = 0) | (all_589_3_547 = xm & all_589_4_548 = 0 & all_589_7_551 = 0 & sdtasdt0(all_0_6_6, all_589_5_549) = xm & aNaturalNumber0(all_589_5_549) = 0) | ( ~ (all_589_9_553 = 0) & ! [v0] : ( ~ (sdtasdt0(all_0_6_6, v0) = all_589_10_554) | ? [v1] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1))) | ( ~ (all_589_11_555 = 0) & (all_0_6_6 = sz10 | all_0_6_6 = sz00 | (all_589_0_544 = all_0_6_6 & all_589_1_545 = 0 & all_589_3_547 = 0 & all_589_4_548 = 0 & ~ (all_589_5_549 = all_0_6_6) & ~ (all_589_5_549 = sz10) & doDivides0(all_589_5_549, all_0_6_6) = 0 & sdtasdt0(all_589_5_549, all_589_2_546) = all_0_6_6 & aNaturalNumber0(all_589_2_546) = 0 & aNaturalNumber0(all_589_5_549) = 0))))
% 243.36/186.29 |
% 243.36/186.30 | Applying alpha-rule on (1444) yields:
% 243.36/186.30 | (1445) aNaturalNumber0(xm) = all_589_14_558
% 243.36/186.30 | (1446) aNaturalNumber0(all_57_2_130) = all_589_13_557
% 243.36/186.30 | (1447) doDivides0(all_0_6_6, all_589_10_554) = all_589_9_553
% 243.36/186.30 | (1448) isPrime0(all_0_6_6) = all_589_11_555
% 243.36/186.30 | (1449) iLess0(xk, all_0_13_13) = all_589_8_552
% 243.36/186.30 | (1450) aNaturalNumber0(all_0_6_6) = all_589_12_556
% 243.36/186.30 | (1451) doDivides0(all_0_6_6, xm) = all_589_7_551
% 243.36/186.30 | (1452) sdtasdt0(xm, all_57_2_130) = all_589_10_554
% 243.36/186.30 | (1453) ~ (all_589_8_552 = 0) | ~ (all_589_12_556 = 0) | ~ (all_589_13_557 = 0) | ~ (all_589_14_558 = 0) | (all_589_3_547 = all_57_2_130 & all_589_4_548 = 0 & all_589_6_550 = 0 & sdtasdt0(all_0_6_6, all_589_5_549) = all_57_2_130 & aNaturalNumber0(all_589_5_549) = 0) | (all_589_3_547 = xm & all_589_4_548 = 0 & all_589_7_551 = 0 & sdtasdt0(all_0_6_6, all_589_5_549) = xm & aNaturalNumber0(all_589_5_549) = 0) | ( ~ (all_589_9_553 = 0) & ! [v0] : ( ~ (sdtasdt0(all_0_6_6, v0) = all_589_10_554) | ? [v1] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1))) | ( ~ (all_589_11_555 = 0) & (all_0_6_6 = sz10 | all_0_6_6 = sz00 | (all_589_0_544 = all_0_6_6 & all_589_1_545 = 0 & all_589_3_547 = 0 & all_589_4_548 = 0 & ~ (all_589_5_549 = all_0_6_6) & ~ (all_589_5_549 = sz10) & doDivides0(all_589_5_549, all_0_6_6) = 0 & sdtasdt0(all_589_5_549, all_589_2_546) = all_0_6_6 & aNaturalNumber0(all_589_2_546) = 0 & aNaturalNumber0(all_589_5_549) = 0)))
% 243.36/186.30 | (1454) doDivides0(all_0_6_6, all_57_2_130) = all_589_6_550
% 243.36/186.30 |
% 243.36/186.30 | Instantiating (1060) with all_591_0_559, all_591_1_560, all_591_2_561, all_591_3_562, all_591_4_563 yields:
% 243.36/186.30 | (1455) sdtpldt0(all_0_2_2, all_591_1_560) = all_591_0_559 & sdtpldt0(xm, all_0_14_14) = all_591_1_560 & aNaturalNumber0(all_0_2_2) = all_591_4_563 & aNaturalNumber0(all_0_14_14) = all_591_2_561 & aNaturalNumber0(xm) = all_591_3_562 & ( ~ (all_591_2_561 = 0) | ~ (all_591_3_562 = 0) | ~ (all_591_4_563 = 0) | all_591_0_559 = all_0_13_13)
% 243.36/186.30 |
% 243.36/186.30 | Applying alpha-rule on (1455) yields:
% 243.36/186.30 | (1456) aNaturalNumber0(xm) = all_591_3_562
% 243.36/186.30 | (1457) ~ (all_591_2_561 = 0) | ~ (all_591_3_562 = 0) | ~ (all_591_4_563 = 0) | all_591_0_559 = all_0_13_13
% 243.36/186.30 | (1458) aNaturalNumber0(all_0_2_2) = all_591_4_563
% 243.36/186.30 | (1459) sdtpldt0(xm, all_0_14_14) = all_591_1_560
% 243.36/186.30 | (1460) aNaturalNumber0(all_0_14_14) = all_591_2_561
% 243.36/186.30 | (1461) sdtpldt0(all_0_2_2, all_591_1_560) = all_591_0_559
% 243.36/186.30 |
% 243.36/186.30 | Instantiating (1056) with all_593_0_564, all_593_1_565, all_593_2_566, all_593_3_567, all_593_4_568 yields:
% 243.36/186.30 | (1462) sdtpldt0(all_0_1_1, all_0_14_14) = all_593_1_565 & sdtpldt0(xn, all_593_1_565) = all_593_0_564 & aNaturalNumber0(all_0_1_1) = all_593_3_567 & aNaturalNumber0(all_0_14_14) = all_593_2_566 & aNaturalNumber0(xn) = all_593_4_568 & ( ~ (all_593_2_566 = 0) | ~ (all_593_3_567 = 0) | ~ (all_593_4_568 = 0) | all_593_0_564 = all_0_13_13)
% 243.75/186.30 |
% 243.75/186.30 | Applying alpha-rule on (1462) yields:
% 243.75/186.30 | (1463) aNaturalNumber0(all_0_14_14) = all_593_2_566
% 243.75/186.30 | (1464) sdtpldt0(xn, all_593_1_565) = all_593_0_564
% 243.75/186.30 | (1465) ~ (all_593_2_566 = 0) | ~ (all_593_3_567 = 0) | ~ (all_593_4_568 = 0) | all_593_0_564 = all_0_13_13
% 243.75/186.30 | (1466) aNaturalNumber0(all_0_1_1) = all_593_3_567
% 243.75/186.30 | (1467) sdtpldt0(all_0_1_1, all_0_14_14) = all_593_1_565
% 243.75/186.30 | (1468) aNaturalNumber0(xn) = all_593_4_568
% 243.75/186.30 |
% 243.75/186.30 | Instantiating (1059) with all_595_0_569, all_595_1_570, all_595_2_571, all_595_3_572, all_595_4_573, all_595_5_574, all_595_6_575, all_595_7_576, all_595_8_577, all_595_9_578, all_595_10_579, all_595_11_580, all_595_12_581, all_595_13_582, all_595_14_583 yields:
% 243.75/186.30 | (1469) isPrime0(all_0_14_14) = all_595_11_580 & doDivides0(all_0_14_14, all_595_10_579) = all_595_9_578 & doDivides0(all_0_14_14, all_0_2_2) = all_595_7_576 & doDivides0(all_0_14_14, xm) = all_595_6_575 & iLess0(all_0_13_13, all_0_13_13) = all_595_8_577 & sdtasdt0(all_0_2_2, xm) = all_595_10_579 & aNaturalNumber0(all_0_2_2) = all_595_14_583 & aNaturalNumber0(all_0_14_14) = all_595_12_581 & aNaturalNumber0(xm) = all_595_13_582 & ( ~ (all_595_8_577 = 0) | ~ (all_595_12_581 = 0) | ~ (all_595_13_582 = 0) | ~ (all_595_14_583 = 0) | (all_595_3_572 = all_0_2_2 & all_595_4_573 = 0 & all_595_7_576 = 0 & sdtasdt0(all_0_14_14, all_595_5_574) = all_0_2_2 & aNaturalNumber0(all_595_5_574) = 0) | (all_595_3_572 = xm & all_595_4_573 = 0 & all_595_6_575 = 0 & sdtasdt0(all_0_14_14, all_595_5_574) = xm & aNaturalNumber0(all_595_5_574) = 0) | ( ~ (all_595_9_578 = 0) & ! [v0] : ( ~ (sdtasdt0(all_0_14_14, v0) = all_595_10_579) | ? [v1] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1))) | ( ~ (all_595_11_580 = 0) & (all_0_14_14 = sz10 | all_0_14_14 = sz00 | (all_595_0_569 = all_0_14_14 & all_595_1_570 = 0 & all_595_3_572 = 0 & all_595_4_573 = 0 & ~ (all_595_5_574 = all_0_14_14) & ~ (all_595_5_574 = sz10) & doDivides0(all_595_5_574, all_0_14_14) = 0 & sdtasdt0(all_595_5_574, all_595_2_571) = all_0_14_14 & aNaturalNumber0(all_595_2_571) = 0 & aNaturalNumber0(all_595_5_574) = 0))))
% 243.75/186.30 |
% 243.75/186.30 | Applying alpha-rule on (1469) yields:
% 243.75/186.30 | (1470) aNaturalNumber0(all_0_14_14) = all_595_12_581
% 243.75/186.30 | (1471) isPrime0(all_0_14_14) = all_595_11_580
% 243.75/186.30 | (1472) doDivides0(all_0_14_14, all_595_10_579) = all_595_9_578
% 243.75/186.30 | (1473) doDivides0(all_0_14_14, all_0_2_2) = all_595_7_576
% 243.75/186.30 | (1474) iLess0(all_0_13_13, all_0_13_13) = all_595_8_577
% 243.75/186.30 | (1475) sdtasdt0(all_0_2_2, xm) = all_595_10_579
% 243.75/186.30 | (1476) aNaturalNumber0(xm) = all_595_13_582
% 243.75/186.30 | (1477) doDivides0(all_0_14_14, xm) = all_595_6_575
% 243.75/186.30 | (1478) ~ (all_595_8_577 = 0) | ~ (all_595_12_581 = 0) | ~ (all_595_13_582 = 0) | ~ (all_595_14_583 = 0) | (all_595_3_572 = all_0_2_2 & all_595_4_573 = 0 & all_595_7_576 = 0 & sdtasdt0(all_0_14_14, all_595_5_574) = all_0_2_2 & aNaturalNumber0(all_595_5_574) = 0) | (all_595_3_572 = xm & all_595_4_573 = 0 & all_595_6_575 = 0 & sdtasdt0(all_0_14_14, all_595_5_574) = xm & aNaturalNumber0(all_595_5_574) = 0) | ( ~ (all_595_9_578 = 0) & ! [v0] : ( ~ (sdtasdt0(all_0_14_14, v0) = all_595_10_579) | ? [v1] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1))) | ( ~ (all_595_11_580 = 0) & (all_0_14_14 = sz10 | all_0_14_14 = sz00 | (all_595_0_569 = all_0_14_14 & all_595_1_570 = 0 & all_595_3_572 = 0 & all_595_4_573 = 0 & ~ (all_595_5_574 = all_0_14_14) & ~ (all_595_5_574 = sz10) & doDivides0(all_595_5_574, all_0_14_14) = 0 & sdtasdt0(all_595_5_574, all_595_2_571) = all_0_14_14 & aNaturalNumber0(all_595_2_571) = 0 & aNaturalNumber0(all_595_5_574) = 0)))
% 243.75/186.30 | (1479) aNaturalNumber0(all_0_2_2) = all_595_14_583
% 243.75/186.30 |
% 243.75/186.30 | Instantiating (1058) with all_597_0_584, all_597_1_585, all_597_2_586, all_597_3_587, all_597_4_588 yields:
% 243.75/186.30 | (1480) sdtpldt0(all_0_1_1, all_597_1_585) = all_597_0_584 & sdtpldt0(xn, all_0_14_14) = all_597_1_585 & aNaturalNumber0(all_0_1_1) = all_597_4_588 & aNaturalNumber0(all_0_14_14) = all_597_2_586 & aNaturalNumber0(xn) = all_597_3_587 & ( ~ (all_597_2_586 = 0) | ~ (all_597_3_587 = 0) | ~ (all_597_4_588 = 0) | all_597_0_584 = all_0_13_13)
% 243.75/186.30 |
% 243.75/186.30 | Applying alpha-rule on (1480) yields:
% 243.75/186.30 | (1481) aNaturalNumber0(xn) = all_597_3_587
% 243.75/186.30 | (1482) sdtpldt0(all_0_1_1, all_597_1_585) = all_597_0_584
% 243.75/186.30 | (1483) aNaturalNumber0(all_0_1_1) = all_597_4_588
% 243.75/186.30 | (1484) aNaturalNumber0(all_0_14_14) = all_597_2_586
% 243.75/186.30 | (1485) sdtpldt0(xn, all_0_14_14) = all_597_1_585
% 243.75/186.30 | (1486) ~ (all_597_2_586 = 0) | ~ (all_597_3_587 = 0) | ~ (all_597_4_588 = 0) | all_597_0_584 = all_0_13_13
% 243.75/186.30 |
% 243.75/186.30 | Instantiating (1057) with all_599_0_589, all_599_1_590, all_599_2_591, all_599_3_592, all_599_4_593, all_599_5_594, all_599_6_595, all_599_7_596, all_599_8_597, all_599_9_598, all_599_10_599, all_599_11_600, all_599_12_601, all_599_13_602, all_599_14_603 yields:
% 243.75/186.30 | (1487) isPrime0(all_0_14_14) = all_599_11_600 & doDivides0(all_0_14_14, all_599_10_599) = all_599_9_598 & doDivides0(all_0_14_14, all_0_1_1) = all_599_7_596 & doDivides0(all_0_14_14, xn) = all_599_6_595 & iLess0(all_0_13_13, all_0_13_13) = all_599_8_597 & sdtasdt0(all_0_1_1, xn) = all_599_10_599 & aNaturalNumber0(all_0_1_1) = all_599_14_603 & aNaturalNumber0(all_0_14_14) = all_599_12_601 & aNaturalNumber0(xn) = all_599_13_602 & ( ~ (all_599_8_597 = 0) | ~ (all_599_12_601 = 0) | ~ (all_599_13_602 = 0) | ~ (all_599_14_603 = 0) | (all_599_3_592 = all_0_1_1 & all_599_4_593 = 0 & all_599_7_596 = 0 & sdtasdt0(all_0_14_14, all_599_5_594) = all_0_1_1 & aNaturalNumber0(all_599_5_594) = 0) | (all_599_3_592 = xn & all_599_4_593 = 0 & all_599_6_595 = 0 & sdtasdt0(all_0_14_14, all_599_5_594) = xn & aNaturalNumber0(all_599_5_594) = 0) | ( ~ (all_599_9_598 = 0) & ! [v0] : ( ~ (sdtasdt0(all_0_14_14, v0) = all_599_10_599) | ? [v1] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1))) | ( ~ (all_599_11_600 = 0) & (all_0_14_14 = sz10 | all_0_14_14 = sz00 | (all_599_0_589 = all_0_14_14 & all_599_1_590 = 0 & all_599_3_592 = 0 & all_599_4_593 = 0 & ~ (all_599_5_594 = all_0_14_14) & ~ (all_599_5_594 = sz10) & doDivides0(all_599_5_594, all_0_14_14) = 0 & sdtasdt0(all_599_5_594, all_599_2_591) = all_0_14_14 & aNaturalNumber0(all_599_2_591) = 0 & aNaturalNumber0(all_599_5_594) = 0))))
% 243.75/186.30 |
% 243.75/186.30 | Applying alpha-rule on (1487) yields:
% 243.75/186.30 | (1488) iLess0(all_0_13_13, all_0_13_13) = all_599_8_597
% 243.75/186.30 | (1489) aNaturalNumber0(all_0_1_1) = all_599_14_603
% 243.75/186.30 | (1490) doDivides0(all_0_14_14, all_599_10_599) = all_599_9_598
% 243.75/186.30 | (1491) doDivides0(all_0_14_14, xn) = all_599_6_595
% 243.75/186.30 | (1492) doDivides0(all_0_14_14, all_0_1_1) = all_599_7_596
% 243.75/186.30 | (1493) aNaturalNumber0(xn) = all_599_13_602
% 243.75/186.30 | (1494) isPrime0(all_0_14_14) = all_599_11_600
% 243.75/186.30 | (1495) aNaturalNumber0(all_0_14_14) = all_599_12_601
% 243.75/186.30 | (1496) ~ (all_599_8_597 = 0) | ~ (all_599_12_601 = 0) | ~ (all_599_13_602 = 0) | ~ (all_599_14_603 = 0) | (all_599_3_592 = all_0_1_1 & all_599_4_593 = 0 & all_599_7_596 = 0 & sdtasdt0(all_0_14_14, all_599_5_594) = all_0_1_1 & aNaturalNumber0(all_599_5_594) = 0) | (all_599_3_592 = xn & all_599_4_593 = 0 & all_599_6_595 = 0 & sdtasdt0(all_0_14_14, all_599_5_594) = xn & aNaturalNumber0(all_599_5_594) = 0) | ( ~ (all_599_9_598 = 0) & ! [v0] : ( ~ (sdtasdt0(all_0_14_14, v0) = all_599_10_599) | ? [v1] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1))) | ( ~ (all_599_11_600 = 0) & (all_0_14_14 = sz10 | all_0_14_14 = sz00 | (all_599_0_589 = all_0_14_14 & all_599_1_590 = 0 & all_599_3_592 = 0 & all_599_4_593 = 0 & ~ (all_599_5_594 = all_0_14_14) & ~ (all_599_5_594 = sz10) & doDivides0(all_599_5_594, all_0_14_14) = 0 & sdtasdt0(all_599_5_594, all_599_2_591) = all_0_14_14 & aNaturalNumber0(all_599_2_591) = 0 & aNaturalNumber0(all_599_5_594) = 0)))
% 243.75/186.30 | (1497) sdtasdt0(all_0_1_1, xn) = all_599_10_599
% 243.75/186.30 |
% 243.75/186.30 | Instantiating (1061) with all_601_0_604, all_601_1_605, all_601_2_606, all_601_3_607, all_601_4_608 yields:
% 243.75/186.30 | (1498) doDivides0(all_107_0_173, all_57_2_130) = all_601_0_604 & doDivides0(all_107_0_173, xm) = all_601_1_605 & aNaturalNumber0(all_107_0_173) = all_601_4_608 & aNaturalNumber0(all_57_2_130) = all_601_2_606 & aNaturalNumber0(xm) = all_601_3_607 & ( ~ (all_601_1_605 = 0) | ~ (all_601_2_606 = 0) | ~ (all_601_3_607 = 0) | ~ (all_601_4_608 = 0) | all_601_0_604 = 0)
% 243.75/186.30 |
% 243.75/186.30 | Applying alpha-rule on (1498) yields:
% 243.75/186.30 | (1499) aNaturalNumber0(xm) = all_601_3_607
% 243.75/186.30 | (1500) aNaturalNumber0(all_57_2_130) = all_601_2_606
% 243.75/186.30 | (1501) aNaturalNumber0(all_107_0_173) = all_601_4_608
% 243.75/186.30 | (1502) doDivides0(all_107_0_173, all_57_2_130) = all_601_0_604
% 243.75/186.30 | (1503) doDivides0(all_107_0_173, xm) = all_601_1_605
% 243.75/186.30 | (1504) ~ (all_601_1_605 = 0) | ~ (all_601_2_606 = 0) | ~ (all_601_3_607 = 0) | ~ (all_601_4_608 = 0) | all_601_0_604 = 0
% 243.75/186.30 |
% 243.75/186.30 | Instantiating (1073) with all_603_0_609, all_603_1_610, all_603_2_611 yields:
% 243.75/186.30 | (1505) sdtpldt0(all_14_1_25, xm) = all_603_0_609 & aNaturalNumber0(all_14_1_25) = all_603_1_610 & aNaturalNumber0(xm) = all_603_2_611 & ( ~ (all_603_1_610 = 0) | ~ (all_603_2_611 = 0) | all_603_0_609 = xk)
% 243.75/186.30 |
% 243.75/186.30 | Applying alpha-rule on (1505) yields:
% 243.75/186.31 | (1506) sdtpldt0(all_14_1_25, xm) = all_603_0_609
% 243.75/186.31 | (1507) aNaturalNumber0(all_14_1_25) = all_603_1_610
% 243.75/186.31 | (1508) aNaturalNumber0(xm) = all_603_2_611
% 243.75/186.31 | (1509) ~ (all_603_1_610 = 0) | ~ (all_603_2_611 = 0) | all_603_0_609 = xk
% 243.75/186.31 |
% 243.75/186.31 | Instantiating (1055) with all_605_0_612, all_605_1_613, all_605_2_614, all_605_3_615, all_605_4_616, all_605_5_617, all_605_6_618, all_605_7_619, all_605_8_620, all_605_9_621, all_605_10_622, all_605_11_623, all_605_12_624, all_605_13_625, all_605_14_626 yields:
% 243.75/186.31 | (1510) isPrime0(all_0_14_14) = all_605_11_623 & doDivides0(all_0_14_14, all_605_10_622) = all_605_9_621 & doDivides0(all_0_14_14, all_0_1_1) = all_605_6_618 & doDivides0(all_0_14_14, xn) = all_605_7_619 & iLess0(all_0_13_13, all_0_13_13) = all_605_8_620 & sdtasdt0(xn, all_0_1_1) = all_605_10_622 & aNaturalNumber0(all_0_1_1) = all_605_13_625 & aNaturalNumber0(all_0_14_14) = all_605_12_624 & aNaturalNumber0(xn) = all_605_14_626 & ( ~ (all_605_8_620 = 0) | ~ (all_605_12_624 = 0) | ~ (all_605_13_625 = 0) | ~ (all_605_14_626 = 0) | (all_605_3_615 = all_0_1_1 & all_605_4_616 = 0 & all_605_6_618 = 0 & sdtasdt0(all_0_14_14, all_605_5_617) = all_0_1_1 & aNaturalNumber0(all_605_5_617) = 0) | (all_605_3_615 = xn & all_605_4_616 = 0 & all_605_7_619 = 0 & sdtasdt0(all_0_14_14, all_605_5_617) = xn & aNaturalNumber0(all_605_5_617) = 0) | ( ~ (all_605_9_621 = 0) & ! [v0] : ( ~ (sdtasdt0(all_0_14_14, v0) = all_605_10_622) | ? [v1] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1))) | ( ~ (all_605_11_623 = 0) & (all_0_14_14 = sz10 | all_0_14_14 = sz00 | (all_605_0_612 = all_0_14_14 & all_605_1_613 = 0 & all_605_3_615 = 0 & all_605_4_616 = 0 & ~ (all_605_5_617 = all_0_14_14) & ~ (all_605_5_617 = sz10) & doDivides0(all_605_5_617, all_0_14_14) = 0 & sdtasdt0(all_605_5_617, all_605_2_614) = all_0_14_14 & aNaturalNumber0(all_605_2_614) = 0 & aNaturalNumber0(all_605_5_617) = 0))))
% 243.75/186.31 |
% 243.75/186.31 | Applying alpha-rule on (1510) yields:
% 243.75/186.31 | (1511) doDivides0(all_0_14_14, xn) = all_605_7_619
% 243.75/186.31 | (1512) iLess0(all_0_13_13, all_0_13_13) = all_605_8_620
% 243.75/186.31 | (1513) aNaturalNumber0(xn) = all_605_14_626
% 243.75/186.31 | (1514) doDivides0(all_0_14_14, all_605_10_622) = all_605_9_621
% 243.75/186.31 | (1515) sdtasdt0(xn, all_0_1_1) = all_605_10_622
% 243.75/186.31 | (1516) isPrime0(all_0_14_14) = all_605_11_623
% 243.75/186.31 | (1517) aNaturalNumber0(all_0_14_14) = all_605_12_624
% 243.75/186.31 | (1518) ~ (all_605_8_620 = 0) | ~ (all_605_12_624 = 0) | ~ (all_605_13_625 = 0) | ~ (all_605_14_626 = 0) | (all_605_3_615 = all_0_1_1 & all_605_4_616 = 0 & all_605_6_618 = 0 & sdtasdt0(all_0_14_14, all_605_5_617) = all_0_1_1 & aNaturalNumber0(all_605_5_617) = 0) | (all_605_3_615 = xn & all_605_4_616 = 0 & all_605_7_619 = 0 & sdtasdt0(all_0_14_14, all_605_5_617) = xn & aNaturalNumber0(all_605_5_617) = 0) | ( ~ (all_605_9_621 = 0) & ! [v0] : ( ~ (sdtasdt0(all_0_14_14, v0) = all_605_10_622) | ? [v1] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1))) | ( ~ (all_605_11_623 = 0) & (all_0_14_14 = sz10 | all_0_14_14 = sz00 | (all_605_0_612 = all_0_14_14 & all_605_1_613 = 0 & all_605_3_615 = 0 & all_605_4_616 = 0 & ~ (all_605_5_617 = all_0_14_14) & ~ (all_605_5_617 = sz10) & doDivides0(all_605_5_617, all_0_14_14) = 0 & sdtasdt0(all_605_5_617, all_605_2_614) = all_0_14_14 & aNaturalNumber0(all_605_2_614) = 0 & aNaturalNumber0(all_605_5_617) = 0)))
% 243.75/186.31 | (1519) doDivides0(all_0_14_14, all_0_1_1) = all_605_6_618
% 243.75/186.31 | (1520) aNaturalNumber0(all_0_1_1) = all_605_13_625
% 243.75/186.31 |
% 243.75/186.31 | Instantiating (1054) with all_607_0_627, all_607_1_628, all_607_2_629, all_607_3_630, all_607_4_631 yields:
% 243.75/186.31 | (1521) sdtpldt0(all_0_2_2, all_0_14_14) = all_607_1_628 & sdtpldt0(xm, all_607_1_628) = all_607_0_627 & aNaturalNumber0(all_0_2_2) = all_607_3_630 & aNaturalNumber0(all_0_14_14) = all_607_2_629 & aNaturalNumber0(xm) = all_607_4_631 & ( ~ (all_607_2_629 = 0) | ~ (all_607_3_630 = 0) | ~ (all_607_4_631 = 0) | all_607_0_627 = all_0_13_13)
% 243.75/186.31 |
% 243.75/186.31 | Applying alpha-rule on (1521) yields:
% 243.75/186.31 | (1522) aNaturalNumber0(xm) = all_607_4_631
% 243.75/186.31 | (1523) ~ (all_607_2_629 = 0) | ~ (all_607_3_630 = 0) | ~ (all_607_4_631 = 0) | all_607_0_627 = all_0_13_13
% 243.75/186.31 | (1524) sdtpldt0(xm, all_607_1_628) = all_607_0_627
% 243.75/186.31 | (1525) aNaturalNumber0(all_0_14_14) = all_607_2_629
% 243.75/186.31 | (1526) aNaturalNumber0(all_0_2_2) = all_607_3_630
% 243.75/186.31 | (1527) sdtpldt0(all_0_2_2, all_0_14_14) = all_607_1_628
% 243.75/186.31 |
% 243.75/186.31 | Instantiating (1072) with all_609_0_632, all_609_1_633, all_609_2_634, all_609_3_635, all_609_4_636 yields:
% 243.75/186.31 | (1528) doDivides0(all_102_0_172, all_14_1_25) = all_609_0_632 & doDivides0(all_102_0_172, xm) = all_609_1_633 & aNaturalNumber0(all_102_0_172) = all_609_4_636 & aNaturalNumber0(all_14_1_25) = all_609_2_634 & aNaturalNumber0(xm) = all_609_3_635 & ( ~ (all_609_1_633 = 0) | ~ (all_609_2_634 = 0) | ~ (all_609_3_635 = 0) | ~ (all_609_4_636 = 0) | all_609_0_632 = 0)
% 243.75/186.31 |
% 243.75/186.31 | Applying alpha-rule on (1528) yields:
% 243.75/186.31 | (1529) aNaturalNumber0(all_14_1_25) = all_609_2_634
% 243.75/186.31 | (1530) ~ (all_609_1_633 = 0) | ~ (all_609_2_634 = 0) | ~ (all_609_3_635 = 0) | ~ (all_609_4_636 = 0) | all_609_0_632 = 0
% 243.75/186.31 | (1531) aNaturalNumber0(xm) = all_609_3_635
% 243.75/186.31 | (1532) doDivides0(all_102_0_172, xm) = all_609_1_633
% 243.75/186.31 | (1533) doDivides0(all_102_0_172, all_14_1_25) = all_609_0_632
% 243.75/186.31 | (1534) aNaturalNumber0(all_102_0_172) = all_609_4_636
% 243.75/186.31 |
% 243.75/186.31 | Instantiating (1065) with all_611_0_637, all_611_1_638, all_611_2_639, all_611_3_640, all_611_4_641 yields:
% 243.75/186.31 | (1535) sdtpldt0(all_57_2_130, all_43_2_77) = all_611_1_638 & sdtpldt0(xm, all_611_1_638) = all_611_0_637 & aNaturalNumber0(all_57_2_130) = all_611_3_640 & aNaturalNumber0(all_43_2_77) = all_611_2_639 & aNaturalNumber0(xm) = all_611_4_641 & ( ~ (all_611_2_639 = 0) | ~ (all_611_3_640 = 0) | ~ (all_611_4_641 = 0) | all_611_0_637 = xk)
% 243.75/186.31 |
% 243.75/186.31 | Applying alpha-rule on (1535) yields:
% 243.75/186.31 | (1536) aNaturalNumber0(all_43_2_77) = all_611_2_639
% 243.75/186.31 | (1537) aNaturalNumber0(all_57_2_130) = all_611_3_640
% 243.75/186.31 | (1538) sdtpldt0(xm, all_611_1_638) = all_611_0_637
% 243.75/186.31 | (1539) sdtpldt0(all_57_2_130, all_43_2_77) = all_611_1_638
% 243.75/186.31 | (1540) ~ (all_611_2_639 = 0) | ~ (all_611_3_640 = 0) | ~ (all_611_4_641 = 0) | all_611_0_637 = xk
% 243.75/186.31 | (1541) aNaturalNumber0(xm) = all_611_4_641
% 243.75/186.31 |
% 243.75/186.31 | Instantiating (1071) with all_613_0_642, all_613_1_643, all_613_2_644, all_613_3_645, all_613_4_646 yields:
% 243.75/186.31 | (1542) doDivides0(all_307_0_174, all_14_1_25) = all_613_0_642 & doDivides0(all_307_0_174, xm) = all_613_1_643 & aNaturalNumber0(all_307_0_174) = all_613_4_646 & aNaturalNumber0(all_14_1_25) = all_613_2_644 & aNaturalNumber0(xm) = all_613_3_645 & ( ~ (all_613_1_643 = 0) | ~ (all_613_2_644 = 0) | ~ (all_613_3_645 = 0) | ~ (all_613_4_646 = 0) | all_613_0_642 = 0)
% 243.75/186.31 |
% 243.75/186.31 | Applying alpha-rule on (1542) yields:
% 243.75/186.31 | (1543) ~ (all_613_1_643 = 0) | ~ (all_613_2_644 = 0) | ~ (all_613_3_645 = 0) | ~ (all_613_4_646 = 0) | all_613_0_642 = 0
% 243.75/186.31 | (1544) aNaturalNumber0(all_14_1_25) = all_613_2_644
% 243.75/186.31 | (1545) doDivides0(all_307_0_174, all_14_1_25) = all_613_0_642
% 243.75/186.31 | (1546) aNaturalNumber0(all_307_0_174) = all_613_4_646
% 243.75/186.31 | (1547) doDivides0(all_307_0_174, xm) = all_613_1_643
% 243.75/186.31 | (1548) aNaturalNumber0(xm) = all_613_3_645
% 243.75/186.31 |
% 243.75/186.31 | Instantiating (1068) with all_615_0_647, all_615_1_648, all_615_2_649 yields:
% 243.75/186.31 | (1549) sdtpldt0(all_57_2_130, xm) = all_615_0_647 & aNaturalNumber0(all_57_2_130) = all_615_1_648 & aNaturalNumber0(xm) = all_615_2_649 & ( ~ (all_615_1_648 = 0) | ~ (all_615_2_649 = 0) | all_615_0_647 = xp)
% 243.75/186.31 |
% 243.75/186.31 | Applying alpha-rule on (1549) yields:
% 243.75/186.31 | (1550) sdtpldt0(all_57_2_130, xm) = all_615_0_647
% 243.75/186.31 | (1551) aNaturalNumber0(all_57_2_130) = all_615_1_648
% 243.75/186.31 | (1552) aNaturalNumber0(xm) = all_615_2_649
% 243.75/186.31 | (1553) ~ (all_615_1_648 = 0) | ~ (all_615_2_649 = 0) | all_615_0_647 = xp
% 243.75/186.31 |
% 243.75/186.31 | Instantiating (1064) with all_617_0_650, all_617_1_651, all_617_2_652, all_617_3_653, all_617_4_654, all_617_5_655, all_617_6_656, all_617_7_657, all_617_8_658, all_617_9_659, all_617_10_660, all_617_11_661, all_617_12_662, all_617_13_663, all_617_14_664 yields:
% 243.75/186.31 | (1554) isPrime0(all_43_2_77) = all_617_11_661 & doDivides0(all_43_2_77, all_617_10_660) = all_617_9_659 & doDivides0(all_43_2_77, all_57_2_130) = all_617_6_656 & doDivides0(all_43_2_77, xm) = all_617_7_657 & iLess0(xk, all_0_13_13) = all_617_8_658 & sdtasdt0(xm, all_57_2_130) = all_617_10_660 & aNaturalNumber0(all_57_2_130) = all_617_13_663 & aNaturalNumber0(all_43_2_77) = all_617_12_662 & aNaturalNumber0(xm) = all_617_14_664 & ( ~ (all_617_8_658 = 0) | ~ (all_617_12_662 = 0) | ~ (all_617_13_663 = 0) | ~ (all_617_14_664 = 0) | (all_617_3_653 = all_57_2_130 & all_617_4_654 = 0 & all_617_6_656 = 0 & sdtasdt0(all_43_2_77, all_617_5_655) = all_57_2_130 & aNaturalNumber0(all_617_5_655) = 0) | (all_617_3_653 = xm & all_617_4_654 = 0 & all_617_7_657 = 0 & sdtasdt0(all_43_2_77, all_617_5_655) = xm & aNaturalNumber0(all_617_5_655) = 0) | ( ~ (all_617_9_659 = 0) & ! [v0] : ( ~ (sdtasdt0(all_43_2_77, v0) = all_617_10_660) | ? [v1] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1))) | ( ~ (all_617_11_661 = 0) & (all_43_2_77 = sz10 | all_43_2_77 = sz00 | (all_617_0_650 = all_43_2_77 & all_617_1_651 = 0 & all_617_3_653 = 0 & all_617_4_654 = 0 & ~ (all_617_5_655 = all_43_2_77) & ~ (all_617_5_655 = sz10) & doDivides0(all_617_5_655, all_43_2_77) = 0 & sdtasdt0(all_617_5_655, all_617_2_652) = all_43_2_77 & aNaturalNumber0(all_617_2_652) = 0 & aNaturalNumber0(all_617_5_655) = 0))))
% 243.75/186.31 |
% 243.75/186.31 | Applying alpha-rule on (1554) yields:
% 243.75/186.31 | (1555) ~ (all_617_8_658 = 0) | ~ (all_617_12_662 = 0) | ~ (all_617_13_663 = 0) | ~ (all_617_14_664 = 0) | (all_617_3_653 = all_57_2_130 & all_617_4_654 = 0 & all_617_6_656 = 0 & sdtasdt0(all_43_2_77, all_617_5_655) = all_57_2_130 & aNaturalNumber0(all_617_5_655) = 0) | (all_617_3_653 = xm & all_617_4_654 = 0 & all_617_7_657 = 0 & sdtasdt0(all_43_2_77, all_617_5_655) = xm & aNaturalNumber0(all_617_5_655) = 0) | ( ~ (all_617_9_659 = 0) & ! [v0] : ( ~ (sdtasdt0(all_43_2_77, v0) = all_617_10_660) | ? [v1] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1))) | ( ~ (all_617_11_661 = 0) & (all_43_2_77 = sz10 | all_43_2_77 = sz00 | (all_617_0_650 = all_43_2_77 & all_617_1_651 = 0 & all_617_3_653 = 0 & all_617_4_654 = 0 & ~ (all_617_5_655 = all_43_2_77) & ~ (all_617_5_655 = sz10) & doDivides0(all_617_5_655, all_43_2_77) = 0 & sdtasdt0(all_617_5_655, all_617_2_652) = all_43_2_77 & aNaturalNumber0(all_617_2_652) = 0 & aNaturalNumber0(all_617_5_655) = 0)))
% 243.75/186.31 | (1556) doDivides0(all_43_2_77, all_617_10_660) = all_617_9_659
% 243.75/186.31 | (1557) aNaturalNumber0(xm) = all_617_14_664
% 243.75/186.31 | (1558) doDivides0(all_43_2_77, all_57_2_130) = all_617_6_656
% 243.75/186.31 | (1559) doDivides0(all_43_2_77, xm) = all_617_7_657
% 243.75/186.31 | (1560) sdtasdt0(xm, all_57_2_130) = all_617_10_660
% 243.75/186.31 | (1561) aNaturalNumber0(all_43_2_77) = all_617_12_662
% 243.75/186.31 | (1562) aNaturalNumber0(all_57_2_130) = all_617_13_663
% 243.75/186.31 | (1563) isPrime0(all_43_2_77) = all_617_11_661
% 243.75/186.31 | (1564) iLess0(xk, all_0_13_13) = all_617_8_658
% 243.75/186.31 |
% 243.75/186.31 | Instantiating (1067) with all_619_0_665, all_619_1_666, all_619_2_667, all_619_3_668, all_619_4_669 yields:
% 243.75/186.31 | (1565) sdtpldt0(all_57_2_130, all_0_14_14) = all_619_1_666 & sdtpldt0(xm, all_619_1_666) = all_619_0_665 & aNaturalNumber0(all_57_2_130) = all_619_3_668 & aNaturalNumber0(all_0_14_14) = all_619_2_667 & aNaturalNumber0(xm) = all_619_4_669 & ( ~ (all_619_2_667 = 0) | ~ (all_619_3_668 = 0) | ~ (all_619_4_669 = 0) | all_619_0_665 = all_0_13_13)
% 243.75/186.32 |
% 243.75/186.32 | Applying alpha-rule on (1565) yields:
% 243.75/186.32 | (1566) aNaturalNumber0(all_0_14_14) = all_619_2_667
% 243.75/186.32 | (1567) sdtpldt0(xm, all_619_1_666) = all_619_0_665
% 243.75/186.32 | (1568) aNaturalNumber0(xm) = all_619_4_669
% 243.75/186.32 | (1569) ~ (all_619_2_667 = 0) | ~ (all_619_3_668 = 0) | ~ (all_619_4_669 = 0) | all_619_0_665 = all_0_13_13
% 243.75/186.32 | (1570) sdtpldt0(all_57_2_130, all_0_14_14) = all_619_1_666
% 243.75/186.32 | (1571) aNaturalNumber0(all_57_2_130) = all_619_3_668
% 243.75/186.32 |
% 243.75/186.32 | Instantiating (1066) with all_621_0_670, all_621_1_671, all_621_2_672, all_621_3_673, all_621_4_674, all_621_5_675, all_621_6_676, all_621_7_677, all_621_8_678, all_621_9_679, all_621_10_680, all_621_11_681, all_621_12_682, all_621_13_683, all_621_14_684 yields:
% 243.75/186.32 | (1572) isPrime0(all_0_14_14) = all_621_11_681 & doDivides0(all_0_14_14, all_621_10_680) = all_621_9_679 & doDivides0(all_0_14_14, all_57_2_130) = all_621_6_676 & doDivides0(all_0_14_14, xm) = all_621_7_677 & iLess0(all_0_13_13, all_0_13_13) = all_621_8_678 & sdtasdt0(xm, all_57_2_130) = all_621_10_680 & aNaturalNumber0(all_57_2_130) = all_621_13_683 & aNaturalNumber0(all_0_14_14) = all_621_12_682 & aNaturalNumber0(xm) = all_621_14_684 & ( ~ (all_621_8_678 = 0) | ~ (all_621_12_682 = 0) | ~ (all_621_13_683 = 0) | ~ (all_621_14_684 = 0) | (all_621_3_673 = all_57_2_130 & all_621_4_674 = 0 & all_621_6_676 = 0 & sdtasdt0(all_0_14_14, all_621_5_675) = all_57_2_130 & aNaturalNumber0(all_621_5_675) = 0) | (all_621_3_673 = xm & all_621_4_674 = 0 & all_621_7_677 = 0 & sdtasdt0(all_0_14_14, all_621_5_675) = xm & aNaturalNumber0(all_621_5_675) = 0) | ( ~ (all_621_9_679 = 0) & ! [v0] : ( ~ (sdtasdt0(all_0_14_14, v0) = all_621_10_680) | ? [v1] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1))) | ( ~ (all_621_11_681 = 0) & (all_0_14_14 = sz10 | all_0_14_14 = sz00 | (all_621_0_670 = all_0_14_14 & all_621_1_671 = 0 & all_621_3_673 = 0 & all_621_4_674 = 0 & ~ (all_621_5_675 = all_0_14_14) & ~ (all_621_5_675 = sz10) & doDivides0(all_621_5_675, all_0_14_14) = 0 & sdtasdt0(all_621_5_675, all_621_2_672) = all_0_14_14 & aNaturalNumber0(all_621_2_672) = 0 & aNaturalNumber0(all_621_5_675) = 0))))
% 243.75/186.32 |
% 243.75/186.32 | Applying alpha-rule on (1572) yields:
% 243.75/186.32 | (1573) ~ (all_621_8_678 = 0) | ~ (all_621_12_682 = 0) | ~ (all_621_13_683 = 0) | ~ (all_621_14_684 = 0) | (all_621_3_673 = all_57_2_130 & all_621_4_674 = 0 & all_621_6_676 = 0 & sdtasdt0(all_0_14_14, all_621_5_675) = all_57_2_130 & aNaturalNumber0(all_621_5_675) = 0) | (all_621_3_673 = xm & all_621_4_674 = 0 & all_621_7_677 = 0 & sdtasdt0(all_0_14_14, all_621_5_675) = xm & aNaturalNumber0(all_621_5_675) = 0) | ( ~ (all_621_9_679 = 0) & ! [v0] : ( ~ (sdtasdt0(all_0_14_14, v0) = all_621_10_680) | ? [v1] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1))) | ( ~ (all_621_11_681 = 0) & (all_0_14_14 = sz10 | all_0_14_14 = sz00 | (all_621_0_670 = all_0_14_14 & all_621_1_671 = 0 & all_621_3_673 = 0 & all_621_4_674 = 0 & ~ (all_621_5_675 = all_0_14_14) & ~ (all_621_5_675 = sz10) & doDivides0(all_621_5_675, all_0_14_14) = 0 & sdtasdt0(all_621_5_675, all_621_2_672) = all_0_14_14 & aNaturalNumber0(all_621_2_672) = 0 & aNaturalNumber0(all_621_5_675) = 0)))
% 243.75/186.32 | (1574) aNaturalNumber0(xm) = all_621_14_684
% 243.75/186.32 | (1575) doDivides0(all_0_14_14, xm) = all_621_7_677
% 243.75/186.32 | (1576) doDivides0(all_0_14_14, all_57_2_130) = all_621_6_676
% 243.75/186.32 | (1577) aNaturalNumber0(all_0_14_14) = all_621_12_682
% 243.75/186.32 | (1578) doDivides0(all_0_14_14, all_621_10_680) = all_621_9_679
% 243.75/186.32 | (1579) isPrime0(all_0_14_14) = all_621_11_681
% 243.75/186.32 | (1580) aNaturalNumber0(all_57_2_130) = all_621_13_683
% 243.75/186.32 | (1581) sdtasdt0(xm, all_57_2_130) = all_621_10_680
% 243.75/186.32 | (1582) iLess0(all_0_13_13, all_0_13_13) = all_621_8_678
% 243.75/186.32 |
% 243.75/186.32 | Instantiating (1070) with all_623_0_685, all_623_1_686, all_623_2_687, all_623_3_688, all_623_4_689 yields:
% 243.75/186.32 | (1583) doDivides0(xr, all_14_1_25) = all_623_0_685 & doDivides0(xr, xm) = all_623_1_686 & aNaturalNumber0(all_14_1_25) = all_623_2_687 & aNaturalNumber0(xr) = all_623_4_689 & aNaturalNumber0(xm) = all_623_3_688 & ( ~ (all_623_1_686 = 0) | ~ (all_623_2_687 = 0) | ~ (all_623_3_688 = 0) | ~ (all_623_4_689 = 0) | all_623_0_685 = 0)
% 243.75/186.32 |
% 243.75/186.32 | Applying alpha-rule on (1583) yields:
% 243.75/186.32 | (1584) aNaturalNumber0(xr) = all_623_4_689
% 243.75/186.32 | (1585) ~ (all_623_1_686 = 0) | ~ (all_623_2_687 = 0) | ~ (all_623_3_688 = 0) | ~ (all_623_4_689 = 0) | all_623_0_685 = 0
% 243.75/186.32 | (1586) aNaturalNumber0(xm) = all_623_3_688
% 243.75/186.32 | (1587) doDivides0(xr, all_14_1_25) = all_623_0_685
% 243.75/186.32 | (1588) doDivides0(xr, xm) = all_623_1_686
% 243.75/186.32 | (1589) aNaturalNumber0(all_14_1_25) = all_623_2_687
% 243.75/186.32 |
% 243.75/186.32 | Instantiating (1035) with all_625_0_690, all_625_1_691, all_625_2_692, all_625_3_693, all_625_4_694 yields:
% 243.75/186.32 | (1590) doDivides0(all_107_0_173, all_0_2_2) = all_625_1_691 & doDivides0(all_107_0_173, xm) = all_625_0_690 & aNaturalNumber0(all_107_0_173) = all_625_4_694 & aNaturalNumber0(all_0_2_2) = all_625_3_693 & aNaturalNumber0(xm) = all_625_2_692 & ( ~ (all_625_1_691 = 0) | ~ (all_625_2_692 = 0) | ~ (all_625_3_693 = 0) | ~ (all_625_4_694 = 0) | all_625_0_690 = 0)
% 243.75/186.32 |
% 243.75/186.32 | Applying alpha-rule on (1590) yields:
% 243.75/186.32 | (1591) ~ (all_625_1_691 = 0) | ~ (all_625_2_692 = 0) | ~ (all_625_3_693 = 0) | ~ (all_625_4_694 = 0) | all_625_0_690 = 0
% 243.75/186.32 | (1592) aNaturalNumber0(all_107_0_173) = all_625_4_694
% 243.75/186.32 | (1593) aNaturalNumber0(all_0_2_2) = all_625_3_693
% 243.75/186.32 | (1594) doDivides0(all_107_0_173, xm) = all_625_0_690
% 243.75/186.32 | (1595) aNaturalNumber0(xm) = all_625_2_692
% 243.75/186.32 | (1596) doDivides0(all_107_0_173, all_0_2_2) = all_625_1_691
% 243.75/186.32 |
% 243.75/186.32 | Instantiating (1034) with all_627_0_695, all_627_1_696, all_627_2_697 yields:
% 243.75/186.32 | (1597) aNaturalNumber0(all_14_1_25) = all_627_0_695 & aNaturalNumber0(all_0_2_2) = all_627_2_697 & aNaturalNumber0(all_0_6_6) = all_627_1_696 & ( ~ (all_627_1_696 = 0) | ~ (all_627_2_697 = 0) | all_627_0_695 = 0)
% 243.75/186.32 |
% 243.75/186.32 | Applying alpha-rule on (1597) yields:
% 243.75/186.32 | (1598) aNaturalNumber0(all_14_1_25) = all_627_0_695
% 243.75/186.32 | (1599) aNaturalNumber0(all_0_2_2) = all_627_2_697
% 243.75/186.32 | (1600) aNaturalNumber0(all_0_6_6) = all_627_1_696
% 243.75/186.32 | (1601) ~ (all_627_1_696 = 0) | ~ (all_627_2_697 = 0) | all_627_0_695 = 0
% 243.75/186.32 |
% 243.75/186.32 | Instantiating (1033) with all_629_0_698, all_629_1_699, all_629_2_700 yields:
% 243.75/186.32 | (1602) sdtpldt0(all_0_6_6, all_0_2_2) = all_629_0_698 & aNaturalNumber0(all_0_2_2) = all_629_2_700 & aNaturalNumber0(all_0_6_6) = all_629_1_699 & ( ~ (all_629_1_699 = 0) | ~ (all_629_2_700 = 0) | all_629_0_698 = all_14_1_25)
% 243.75/186.32 |
% 243.75/186.32 | Applying alpha-rule on (1602) yields:
% 243.75/186.32 | (1603) sdtpldt0(all_0_6_6, all_0_2_2) = all_629_0_698
% 243.75/186.32 | (1604) aNaturalNumber0(all_0_2_2) = all_629_2_700
% 243.75/186.32 | (1605) aNaturalNumber0(all_0_6_6) = all_629_1_699
% 243.75/186.32 | (1606) ~ (all_629_1_699 = 0) | ~ (all_629_2_700 = 0) | all_629_0_698 = all_14_1_25
% 243.75/186.32 |
% 243.75/186.32 | Instantiating (1032) with all_631_0_701, all_631_1_702, all_631_2_703, all_631_3_704, all_631_4_705 yields:
% 243.75/186.32 | (1607) sdtpldt0(all_0_1_1, all_631_1_702) = all_631_0_701 & sdtpldt0(xn, all_0_6_6) = all_631_1_702 & aNaturalNumber0(all_0_1_1) = all_631_4_705 & aNaturalNumber0(all_0_6_6) = all_631_2_703 & aNaturalNumber0(xn) = all_631_3_704 & ( ~ (all_631_2_703 = 0) | ~ (all_631_3_704 = 0) | ~ (all_631_4_705 = 0) | all_631_0_701 = xk)
% 243.75/186.32 |
% 243.75/186.32 | Applying alpha-rule on (1607) yields:
% 243.75/186.32 | (1608) ~ (all_631_2_703 = 0) | ~ (all_631_3_704 = 0) | ~ (all_631_4_705 = 0) | all_631_0_701 = xk
% 243.75/186.32 | (1609) aNaturalNumber0(xn) = all_631_3_704
% 243.75/186.32 | (1610) aNaturalNumber0(all_0_6_6) = all_631_2_703
% 243.75/186.32 | (1611) sdtpldt0(xn, all_0_6_6) = all_631_1_702
% 243.75/186.32 | (1612) aNaturalNumber0(all_0_1_1) = all_631_4_705
% 243.75/186.32 | (1613) sdtpldt0(all_0_1_1, all_631_1_702) = all_631_0_701
% 243.75/186.32 |
% 243.75/186.32 | Instantiating (1030) with all_633_0_706, all_633_1_707, all_633_2_708, all_633_3_709, all_633_4_710 yields:
% 243.75/186.32 | (1614) doDivides0(all_107_0_173, all_0_1_1) = all_633_1_707 & doDivides0(all_107_0_173, xn) = all_633_0_706 & aNaturalNumber0(all_107_0_173) = all_633_4_710 & aNaturalNumber0(all_0_1_1) = all_633_3_709 & aNaturalNumber0(xn) = all_633_2_708 & ( ~ (all_633_1_707 = 0) | ~ (all_633_2_708 = 0) | ~ (all_633_3_709 = 0) | ~ (all_633_4_710 = 0) | all_633_0_706 = 0)
% 243.75/186.32 |
% 243.75/186.32 | Applying alpha-rule on (1614) yields:
% 243.75/186.32 | (1615) ~ (all_633_1_707 = 0) | ~ (all_633_2_708 = 0) | ~ (all_633_3_709 = 0) | ~ (all_633_4_710 = 0) | all_633_0_706 = 0
% 243.75/186.32 | (1616) doDivides0(all_107_0_173, all_0_1_1) = all_633_1_707
% 243.75/186.32 | (1617) aNaturalNumber0(all_107_0_173) = all_633_4_710
% 243.75/186.32 | (1618) aNaturalNumber0(xn) = all_633_2_708
% 243.75/186.32 | (1619) doDivides0(all_107_0_173, xn) = all_633_0_706
% 243.75/186.32 | (1620) aNaturalNumber0(all_0_1_1) = all_633_3_709
% 243.75/186.32 |
% 243.75/186.32 | Instantiating (1029) with all_639_0_719, all_639_1_720, all_639_2_721 yields:
% 243.75/186.32 | (1621) aNaturalNumber0(all_62_1_138) = all_639_0_719 & aNaturalNumber0(all_0_1_1) = all_639_2_721 & aNaturalNumber0(all_0_6_6) = all_639_1_720 & ( ~ (all_639_1_720 = 0) | ~ (all_639_2_721 = 0) | all_639_0_719 = 0)
% 243.75/186.32 |
% 243.75/186.32 | Applying alpha-rule on (1621) yields:
% 243.75/186.32 | (1622) aNaturalNumber0(all_62_1_138) = all_639_0_719
% 243.75/186.32 | (1623) aNaturalNumber0(all_0_1_1) = all_639_2_721
% 243.75/186.32 | (1624) aNaturalNumber0(all_0_6_6) = all_639_1_720
% 243.75/186.32 | (1625) ~ (all_639_1_720 = 0) | ~ (all_639_2_721 = 0) | all_639_0_719 = 0
% 243.75/186.32 |
% 243.75/186.32 | Instantiating (1028) with all_641_0_722, all_641_1_723, all_641_2_724 yields:
% 243.75/186.32 | (1626) sdtpldt0(all_0_6_6, all_0_1_1) = all_641_0_722 & aNaturalNumber0(all_0_1_1) = all_641_2_724 & aNaturalNumber0(all_0_6_6) = all_641_1_723 & ( ~ (all_641_1_723 = 0) | ~ (all_641_2_724 = 0) | all_641_0_722 = all_62_1_138)
% 243.75/186.32 |
% 243.75/186.32 | Applying alpha-rule on (1626) yields:
% 243.75/186.32 | (1627) sdtpldt0(all_0_6_6, all_0_1_1) = all_641_0_722
% 243.75/186.32 | (1628) aNaturalNumber0(all_0_1_1) = all_641_2_724
% 243.75/186.32 | (1629) aNaturalNumber0(all_0_6_6) = all_641_1_723
% 243.75/186.32 | (1630) ~ (all_641_1_723 = 0) | ~ (all_641_2_724 = 0) | all_641_0_722 = all_62_1_138
% 243.75/186.32 |
% 243.75/186.32 | Instantiating (1031) with all_644_0_728, all_644_1_729, all_644_2_730, all_644_3_731, all_644_4_732, all_644_5_733, all_644_6_734, all_644_7_735, all_644_8_736, all_644_9_737, all_644_10_738, all_644_11_739, all_644_12_740, all_644_13_741, all_644_14_742 yields:
% 243.75/186.32 | (1631) isPrime0(all_0_6_6) = all_644_11_739 & doDivides0(all_0_6_6, all_644_10_738) = all_644_9_737 & doDivides0(all_0_6_6, all_0_1_1) = all_644_7_735 & doDivides0(all_0_6_6, xn) = all_644_6_734 & iLess0(xk, all_0_13_13) = all_644_8_736 & sdtasdt0(all_0_1_1, xn) = all_644_10_738 & aNaturalNumber0(all_0_1_1) = all_644_14_742 & aNaturalNumber0(all_0_6_6) = all_644_12_740 & aNaturalNumber0(xn) = all_644_13_741 & ( ~ (all_644_8_736 = 0) | ~ (all_644_12_740 = 0) | ~ (all_644_13_741 = 0) | ~ (all_644_14_742 = 0) | (all_644_3_731 = all_0_1_1 & all_644_4_732 = 0 & all_644_7_735 = 0 & sdtasdt0(all_0_6_6, all_644_5_733) = all_0_1_1 & aNaturalNumber0(all_644_5_733) = 0) | (all_644_3_731 = xn & all_644_4_732 = 0 & all_644_6_734 = 0 & sdtasdt0(all_0_6_6, all_644_5_733) = xn & aNaturalNumber0(all_644_5_733) = 0) | ( ~ (all_644_9_737 = 0) & ! [v0] : ( ~ (sdtasdt0(all_0_6_6, v0) = all_644_10_738) | ? [v1] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1))) | ( ~ (all_644_11_739 = 0) & (all_0_6_6 = sz10 | all_0_6_6 = sz00 | (all_644_0_728 = all_0_6_6 & all_644_1_729 = 0 & all_644_3_731 = 0 & all_644_4_732 = 0 & ~ (all_644_5_733 = all_0_6_6) & ~ (all_644_5_733 = sz10) & doDivides0(all_644_5_733, all_0_6_6) = 0 & sdtasdt0(all_644_5_733, all_644_2_730) = all_0_6_6 & aNaturalNumber0(all_644_2_730) = 0 & aNaturalNumber0(all_644_5_733) = 0))))
% 243.75/186.33 |
% 243.75/186.33 | Applying alpha-rule on (1631) yields:
% 243.75/186.33 | (1632) doDivides0(all_0_6_6, all_0_1_1) = all_644_7_735
% 243.75/186.33 | (1633) iLess0(xk, all_0_13_13) = all_644_8_736
% 243.75/186.33 | (1634) doDivides0(all_0_6_6, xn) = all_644_6_734
% 243.75/186.33 | (1635) isPrime0(all_0_6_6) = all_644_11_739
% 243.75/186.33 | (1636) aNaturalNumber0(all_0_6_6) = all_644_12_740
% 243.75/186.33 | (1637) ~ (all_644_8_736 = 0) | ~ (all_644_12_740 = 0) | ~ (all_644_13_741 = 0) | ~ (all_644_14_742 = 0) | (all_644_3_731 = all_0_1_1 & all_644_4_732 = 0 & all_644_7_735 = 0 & sdtasdt0(all_0_6_6, all_644_5_733) = all_0_1_1 & aNaturalNumber0(all_644_5_733) = 0) | (all_644_3_731 = xn & all_644_4_732 = 0 & all_644_6_734 = 0 & sdtasdt0(all_0_6_6, all_644_5_733) = xn & aNaturalNumber0(all_644_5_733) = 0) | ( ~ (all_644_9_737 = 0) & ! [v0] : ( ~ (sdtasdt0(all_0_6_6, v0) = all_644_10_738) | ? [v1] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1))) | ( ~ (all_644_11_739 = 0) & (all_0_6_6 = sz10 | all_0_6_6 = sz00 | (all_644_0_728 = all_0_6_6 & all_644_1_729 = 0 & all_644_3_731 = 0 & all_644_4_732 = 0 & ~ (all_644_5_733 = all_0_6_6) & ~ (all_644_5_733 = sz10) & doDivides0(all_644_5_733, all_0_6_6) = 0 & sdtasdt0(all_644_5_733, all_644_2_730) = all_0_6_6 & aNaturalNumber0(all_644_2_730) = 0 & aNaturalNumber0(all_644_5_733) = 0)))
% 243.75/186.33 | (1638) aNaturalNumber0(xn) = all_644_13_741
% 243.75/186.33 | (1639) aNaturalNumber0(all_0_1_1) = all_644_14_742
% 243.75/186.33 | (1640) sdtasdt0(all_0_1_1, xn) = all_644_10_738
% 243.75/186.33 | (1641) doDivides0(all_0_6_6, all_644_10_738) = all_644_9_737
% 243.75/186.33 |
% 243.75/186.33 | Instantiating (1053) with all_646_0_743, all_646_1_744, all_646_2_745, all_646_3_746, all_646_4_747, all_646_5_748, all_646_6_749, all_646_7_750, all_646_8_751, all_646_9_752, all_646_10_753, all_646_11_754, all_646_12_755, all_646_13_756, all_646_14_757 yields:
% 243.75/186.33 | (1642) isPrime0(all_0_14_14) = all_646_11_754 & doDivides0(all_0_14_14, all_646_10_753) = all_646_9_752 & doDivides0(all_0_14_14, all_0_2_2) = all_646_6_749 & doDivides0(all_0_14_14, xm) = all_646_7_750 & iLess0(all_0_13_13, all_0_13_13) = all_646_8_751 & sdtasdt0(xm, all_0_2_2) = all_646_10_753 & aNaturalNumber0(all_0_2_2) = all_646_13_756 & aNaturalNumber0(all_0_14_14) = all_646_12_755 & aNaturalNumber0(xm) = all_646_14_757 & ( ~ (all_646_8_751 = 0) | ~ (all_646_12_755 = 0) | ~ (all_646_13_756 = 0) | ~ (all_646_14_757 = 0) | (all_646_3_746 = all_0_2_2 & all_646_4_747 = 0 & all_646_6_749 = 0 & sdtasdt0(all_0_14_14, all_646_5_748) = all_0_2_2 & aNaturalNumber0(all_646_5_748) = 0) | (all_646_3_746 = xm & all_646_4_747 = 0 & all_646_7_750 = 0 & sdtasdt0(all_0_14_14, all_646_5_748) = xm & aNaturalNumber0(all_646_5_748) = 0) | ( ~ (all_646_9_752 = 0) & ! [v0] : ( ~ (sdtasdt0(all_0_14_14, v0) = all_646_10_753) | ? [v1] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1))) | ( ~ (all_646_11_754 = 0) & (all_0_14_14 = sz10 | all_0_14_14 = sz00 | (all_646_0_743 = all_0_14_14 & all_646_1_744 = 0 & all_646_3_746 = 0 & all_646_4_747 = 0 & ~ (all_646_5_748 = all_0_14_14) & ~ (all_646_5_748 = sz10) & doDivides0(all_646_5_748, all_0_14_14) = 0 & sdtasdt0(all_646_5_748, all_646_2_745) = all_0_14_14 & aNaturalNumber0(all_646_2_745) = 0 & aNaturalNumber0(all_646_5_748) = 0))))
% 243.75/186.33 |
% 243.75/186.33 | Applying alpha-rule on (1642) yields:
% 243.75/186.33 | (1643) doDivides0(all_0_14_14, xm) = all_646_7_750
% 243.75/186.33 | (1644) aNaturalNumber0(xm) = all_646_14_757
% 243.75/186.33 | (1645) doDivides0(all_0_14_14, all_646_10_753) = all_646_9_752
% 243.75/186.33 | (1646) sdtasdt0(xm, all_0_2_2) = all_646_10_753
% 243.75/186.33 | (1647) iLess0(all_0_13_13, all_0_13_13) = all_646_8_751
% 243.75/186.33 | (1648) aNaturalNumber0(all_0_14_14) = all_646_12_755
% 243.75/186.33 | (1649) ~ (all_646_8_751 = 0) | ~ (all_646_12_755 = 0) | ~ (all_646_13_756 = 0) | ~ (all_646_14_757 = 0) | (all_646_3_746 = all_0_2_2 & all_646_4_747 = 0 & all_646_6_749 = 0 & sdtasdt0(all_0_14_14, all_646_5_748) = all_0_2_2 & aNaturalNumber0(all_646_5_748) = 0) | (all_646_3_746 = xm & all_646_4_747 = 0 & all_646_7_750 = 0 & sdtasdt0(all_0_14_14, all_646_5_748) = xm & aNaturalNumber0(all_646_5_748) = 0) | ( ~ (all_646_9_752 = 0) & ! [v0] : ( ~ (sdtasdt0(all_0_14_14, v0) = all_646_10_753) | ? [v1] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1))) | ( ~ (all_646_11_754 = 0) & (all_0_14_14 = sz10 | all_0_14_14 = sz00 | (all_646_0_743 = all_0_14_14 & all_646_1_744 = 0 & all_646_3_746 = 0 & all_646_4_747 = 0 & ~ (all_646_5_748 = all_0_14_14) & ~ (all_646_5_748 = sz10) & doDivides0(all_646_5_748, all_0_14_14) = 0 & sdtasdt0(all_646_5_748, all_646_2_745) = all_0_14_14 & aNaturalNumber0(all_646_2_745) = 0 & aNaturalNumber0(all_646_5_748) = 0)))
% 243.75/186.33 | (1650) doDivides0(all_0_14_14, all_0_2_2) = all_646_6_749
% 243.75/186.33 | (1651) isPrime0(all_0_14_14) = all_646_11_754
% 243.75/186.33 | (1652) aNaturalNumber0(all_0_2_2) = all_646_13_756
% 243.75/186.33 |
% 243.75/186.33 | Instantiating (1027) with all_648_0_758, all_648_1_759, all_648_2_760 yields:
% 243.75/186.33 | (1653) aNaturalNumber0(all_66_10_155) = all_648_0_758 & aNaturalNumber0(all_0_1_1) = all_648_1_759 & aNaturalNumber0(xn) = all_648_2_760 & ( ~ (all_648_1_759 = 0) | ~ (all_648_2_760 = 0) | all_648_0_758 = 0)
% 243.75/186.33 |
% 243.75/186.33 | Applying alpha-rule on (1653) yields:
% 243.75/186.33 | (1654) aNaturalNumber0(all_66_10_155) = all_648_0_758
% 243.75/186.33 | (1655) aNaturalNumber0(all_0_1_1) = all_648_1_759
% 243.75/186.33 | (1656) aNaturalNumber0(xn) = all_648_2_760
% 243.75/186.33 | (1657) ~ (all_648_1_759 = 0) | ~ (all_648_2_760 = 0) | all_648_0_758 = 0
% 243.75/186.33 |
% 243.75/186.33 | Instantiating (1026) with all_650_0_761, all_650_1_762, all_650_2_763 yields:
% 243.75/186.33 | (1658) sdtasdt0(all_0_1_1, xn) = all_650_0_761 & aNaturalNumber0(all_0_1_1) = all_650_1_762 & aNaturalNumber0(xn) = all_650_2_763 & ( ~ (all_650_1_762 = 0) | ~ (all_650_2_763 = 0) | all_650_0_761 = all_66_10_155)
% 243.75/186.33 |
% 243.75/186.33 | Applying alpha-rule on (1658) yields:
% 243.75/186.33 | (1659) sdtasdt0(all_0_1_1, xn) = all_650_0_761
% 243.75/186.33 | (1660) aNaturalNumber0(all_0_1_1) = all_650_1_762
% 243.75/186.33 | (1661) aNaturalNumber0(xn) = all_650_2_763
% 243.75/186.33 | (1662) ~ (all_650_1_762 = 0) | ~ (all_650_2_763 = 0) | all_650_0_761 = all_66_10_155
% 243.75/186.33 |
% 243.75/186.33 +-Applying beta-rule and splitting (1012), into two cases.
% 243.75/186.33 |-Branch one:
% 243.75/186.33 | (348) all_0_11_11 = 0
% 243.75/186.33 |
% 243.75/186.33 | Equations (348) can reduce 47 to:
% 243.75/186.33 | (339) $false
% 243.75/186.33 |
% 243.75/186.33 |-The branch is then unsatisfiable
% 243.75/186.33 |-Branch two:
% 243.75/186.33 | (47) ~ (all_0_11_11 = 0)
% 243.75/186.33 | (1666) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (sdtlseqdt0(all_0_12_12, xn) = v3 & aNaturalNumber0(all_0_12_12) = v1 & aNaturalNumber0(xp) = v0 & aNaturalNumber0(xn) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 243.75/186.33 |
% 243.75/186.33 | Instantiating (1666) with all_668_0_777, all_668_1_778, all_668_2_779, all_668_3_780 yields:
% 243.75/186.33 | (1667) sdtlseqdt0(all_0_12_12, xn) = all_668_0_777 & aNaturalNumber0(all_0_12_12) = all_668_2_779 & aNaturalNumber0(xp) = all_668_3_780 & aNaturalNumber0(xn) = all_668_1_778 & ( ~ (all_668_0_777 = 0) | ~ (all_668_1_778 = 0) | ~ (all_668_2_779 = 0) | ~ (all_668_3_780 = 0))
% 243.75/186.33 |
% 243.75/186.33 | Applying alpha-rule on (1667) yields:
% 243.75/186.33 | (1668) aNaturalNumber0(xn) = all_668_1_778
% 243.75/186.33 | (1669) sdtlseqdt0(all_0_12_12, xn) = all_668_0_777
% 243.75/186.33 | (1670) aNaturalNumber0(xp) = all_668_3_780
% 243.75/186.33 | (1671) aNaturalNumber0(all_0_12_12) = all_668_2_779
% 243.75/186.33 | (1672) ~ (all_668_0_777 = 0) | ~ (all_668_1_778 = 0) | ~ (all_668_2_779 = 0) | ~ (all_668_3_780 = 0)
% 243.75/186.33 |
% 243.75/186.33 +-Applying beta-rule and splitting (1011), into two cases.
% 243.75/186.33 |-Branch one:
% 243.75/186.33 | (338) all_0_10_10 = 0
% 243.75/186.33 |
% 243.75/186.33 | Equations (338) can reduce 42 to:
% 243.75/186.33 | (339) $false
% 243.75/186.33 |
% 243.75/186.33 |-The branch is then unsatisfiable
% 243.75/186.33 |-Branch two:
% 243.75/186.33 | (42) ~ (all_0_10_10 = 0)
% 243.75/186.33 | (1676) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (sdtlseqdt0(all_0_12_12, xm) = v3 & aNaturalNumber0(all_0_12_12) = v1 & aNaturalNumber0(xp) = v0 & aNaturalNumber0(xm) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 243.75/186.33 |
% 243.75/186.33 | Instantiating (1676) with all_673_0_781, all_673_1_782, all_673_2_783, all_673_3_784 yields:
% 243.75/186.33 | (1677) sdtlseqdt0(all_0_12_12, xm) = all_673_0_781 & aNaturalNumber0(all_0_12_12) = all_673_2_783 & aNaturalNumber0(xp) = all_673_3_784 & aNaturalNumber0(xm) = all_673_1_782 & ( ~ (all_673_0_781 = 0) | ~ (all_673_1_782 = 0) | ~ (all_673_2_783 = 0) | ~ (all_673_3_784 = 0))
% 243.75/186.33 |
% 243.75/186.33 | Applying alpha-rule on (1677) yields:
% 243.75/186.33 | (1678) ~ (all_673_0_781 = 0) | ~ (all_673_1_782 = 0) | ~ (all_673_2_783 = 0) | ~ (all_673_3_784 = 0)
% 243.75/186.33 | (1679) aNaturalNumber0(all_0_12_12) = all_673_2_783
% 243.75/186.33 | (1680) sdtlseqdt0(all_0_12_12, xm) = all_673_0_781
% 243.75/186.33 | (1681) aNaturalNumber0(xm) = all_673_1_782
% 243.75/186.33 | (1682) aNaturalNumber0(xp) = all_673_3_784
% 243.75/186.33 |
% 243.75/186.33 +-Applying beta-rule and splitting (1006), into two cases.
% 243.75/186.33 |-Branch one:
% 243.75/186.33 | (371) xp = sz00
% 243.75/186.33 |
% 243.75/186.33 | Equations (371) can reduce 40 to:
% 243.75/186.33 | (339) $false
% 243.75/186.33 |
% 243.75/186.33 |-The branch is then unsatisfiable
% 243.75/186.33 |-Branch two:
% 243.75/186.33 | (40) ~ (xp = sz00)
% 243.75/186.33 | (1686) ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(all_107_0_173, xp) = v2 & aNaturalNumber0(all_107_0_173) = v0 & aNaturalNumber0(xp) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 243.75/186.33 |
% 243.75/186.33 | Instantiating (1686) with all_678_0_785, all_678_1_786, all_678_2_787 yields:
% 243.75/186.33 | (1687) sdtlseqdt0(all_107_0_173, xp) = all_678_0_785 & aNaturalNumber0(all_107_0_173) = all_678_2_787 & aNaturalNumber0(xp) = all_678_1_786 & ( ~ (all_678_1_786 = 0) | ~ (all_678_2_787 = 0) | all_678_0_785 = 0)
% 243.75/186.33 |
% 243.75/186.33 | Applying alpha-rule on (1687) yields:
% 243.75/186.33 | (1688) sdtlseqdt0(all_107_0_173, xp) = all_678_0_785
% 243.75/186.33 | (1689) aNaturalNumber0(all_107_0_173) = all_678_2_787
% 243.75/186.33 | (1690) aNaturalNumber0(xp) = all_678_1_786
% 243.75/186.33 | (1691) ~ (all_678_1_786 = 0) | ~ (all_678_2_787 = 0) | all_678_0_785 = 0
% 243.75/186.33 |
% 243.75/186.33 +-Applying beta-rule and splitting (1002), into two cases.
% 243.75/186.33 |-Branch one:
% 243.75/186.33 | (358) xk = sz00
% 243.75/186.33 |
% 243.75/186.33 | Equations (358) can reduce 48 to:
% 243.75/186.33 | (339) $false
% 243.75/186.33 |
% 243.75/186.33 |-The branch is then unsatisfiable
% 243.75/186.33 |-Branch two:
% 243.75/186.33 | (48) ~ (xk = sz00)
% 243.75/186.33 | (1695) ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(all_307_0_174, xk) = v2 & aNaturalNumber0(all_307_0_174) = v0 & aNaturalNumber0(xk) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 243.75/186.33 |
% 243.75/186.33 | Instantiating (1695) with all_684_0_788, all_684_1_789, all_684_2_790 yields:
% 243.75/186.33 | (1696) sdtlseqdt0(all_307_0_174, xk) = all_684_0_788 & aNaturalNumber0(all_307_0_174) = all_684_2_790 & aNaturalNumber0(xk) = all_684_1_789 & ( ~ (all_684_1_789 = 0) | ~ (all_684_2_790 = 0) | all_684_0_788 = 0)
% 243.75/186.33 |
% 243.75/186.33 | Applying alpha-rule on (1696) yields:
% 243.75/186.33 | (1697) sdtlseqdt0(all_307_0_174, xk) = all_684_0_788
% 243.75/186.33 | (1698) aNaturalNumber0(all_307_0_174) = all_684_2_790
% 243.75/186.34 | (1699) aNaturalNumber0(xk) = all_684_1_789
% 243.75/186.34 | (1700) ~ (all_684_1_789 = 0) | ~ (all_684_2_790 = 0) | all_684_0_788 = 0
% 243.75/186.34 |
% 243.75/186.34 +-Applying beta-rule and splitting (1013), into two cases.
% 243.75/186.34 |-Branch one:
% 243.75/186.34 | (1701) all_77_0_164 = 0
% 243.75/186.34 |
% 243.75/186.34 | Equations (1701) can reduce 645 to:
% 243.75/186.34 | (339) $false
% 243.75/186.34 |
% 243.75/186.34 |-The branch is then unsatisfiable
% 243.75/186.34 |-Branch two:
% 243.75/186.34 | (645) ~ (all_77_0_164 = 0)
% 243.75/186.34 | (1704) ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(xn, xk) = v2 & aNaturalNumber0(xk) = v0 & aNaturalNumber0(xn) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v2 = 0 & ~ (xk = xn))))
% 243.75/186.34 |
% 243.75/186.34 | Instantiating (1704) with all_689_0_791, all_689_1_792, all_689_2_793 yields:
% 243.75/186.34 | (1705) sdtlseqdt0(xn, xk) = all_689_0_791 & aNaturalNumber0(xk) = all_689_2_793 & aNaturalNumber0(xn) = all_689_1_792 & ( ~ (all_689_1_792 = 0) | ~ (all_689_2_793 = 0) | (all_689_0_791 = 0 & ~ (xk = xn)))
% 243.75/186.34 |
% 243.75/186.34 | Applying alpha-rule on (1705) yields:
% 243.75/186.34 | (1706) sdtlseqdt0(xn, xk) = all_689_0_791
% 243.75/186.34 | (1707) aNaturalNumber0(xk) = all_689_2_793
% 243.75/186.34 | (1708) aNaturalNumber0(xn) = all_689_1_792
% 243.75/186.34 | (1709) ~ (all_689_1_792 = 0) | ~ (all_689_2_793 = 0) | (all_689_0_791 = 0 & ~ (xk = xn))
% 243.75/186.34 |
% 243.75/186.34 +-Applying beta-rule and splitting (1008), into two cases.
% 243.75/186.34 |-Branch one:
% 243.75/186.34 | (358) xk = sz00
% 243.75/186.34 |
% 243.75/186.34 | Equations (358) can reduce 48 to:
% 243.75/186.34 | (339) $false
% 243.75/186.34 |
% 243.75/186.34 |-The branch is then unsatisfiable
% 243.75/186.34 |-Branch two:
% 243.75/186.34 | (48) ~ (xk = sz00)
% 243.75/186.34 | (1713) ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(all_102_0_172, xk) = v2 & aNaturalNumber0(all_102_0_172) = v0 & aNaturalNumber0(xk) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 243.75/186.34 |
% 243.75/186.34 | Instantiating (1713) with all_694_0_794, all_694_1_795, all_694_2_796 yields:
% 243.75/186.34 | (1714) sdtlseqdt0(all_102_0_172, xk) = all_694_0_794 & aNaturalNumber0(all_102_0_172) = all_694_2_796 & aNaturalNumber0(xk) = all_694_1_795 & ( ~ (all_694_1_795 = 0) | ~ (all_694_2_796 = 0) | all_694_0_794 = 0)
% 243.75/186.34 |
% 243.75/186.34 | Applying alpha-rule on (1714) yields:
% 243.75/186.34 | (1715) sdtlseqdt0(all_102_0_172, xk) = all_694_0_794
% 243.75/186.34 | (1716) aNaturalNumber0(all_102_0_172) = all_694_2_796
% 243.75/186.34 | (1717) aNaturalNumber0(xk) = all_694_1_795
% 243.75/186.34 | (1718) ~ (all_694_1_795 = 0) | ~ (all_694_2_796 = 0) | all_694_0_794 = 0
% 243.75/186.34 |
% 243.75/186.34 +-Applying beta-rule and splitting (1000), into two cases.
% 243.75/186.34 |-Branch one:
% 243.75/186.34 | (988) xn = sz00
% 243.75/186.34 |
% 243.75/186.34 | Equations (988) can reduce 979 to:
% 243.75/186.34 | (339) $false
% 243.75/186.34 |
% 243.75/186.34 |-The branch is then unsatisfiable
% 243.75/186.34 |-Branch two:
% 243.75/186.34 | (979) ~ (xn = sz00)
% 243.75/186.34 | (1722) ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(all_469_0_203, xn) = v2 & aNaturalNumber0(all_469_0_203) = v0 & aNaturalNumber0(xn) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 243.75/186.34 |
% 243.75/186.34 | Instantiating (1722) with all_699_0_797, all_699_1_798, all_699_2_799 yields:
% 243.75/186.34 | (1723) sdtlseqdt0(all_469_0_203, xn) = all_699_0_797 & aNaturalNumber0(all_469_0_203) = all_699_2_799 & aNaturalNumber0(xn) = all_699_1_798 & ( ~ (all_699_1_798 = 0) | ~ (all_699_2_799 = 0) | all_699_0_797 = 0)
% 243.75/186.34 |
% 243.75/186.34 | Applying alpha-rule on (1723) yields:
% 243.75/186.34 | (1724) sdtlseqdt0(all_469_0_203, xn) = all_699_0_797
% 243.75/186.34 | (1725) aNaturalNumber0(all_469_0_203) = all_699_2_799
% 243.75/186.34 | (1726) aNaturalNumber0(xn) = all_699_1_798
% 243.75/186.34 | (1727) ~ (all_699_1_798 = 0) | ~ (all_699_2_799 = 0) | all_699_0_797 = 0
% 243.75/186.34 |
% 243.75/186.34 +-Applying beta-rule and splitting (1095), into two cases.
% 243.75/186.34 |-Branch one:
% 243.75/186.34 | (1728) all_107_0_173 = sz00
% 243.75/186.34 |
% 243.75/186.34 | Equations (1728) can reduce 392 to:
% 243.75/186.34 | (339) $false
% 243.75/186.34 |
% 243.75/186.34 |-The branch is then unsatisfiable
% 243.75/186.34 |-Branch two:
% 243.75/186.34 | (392) ~ (all_107_0_173 = sz00)
% 243.75/186.34 | (1731) all_107_0_173 = sz10 | ? [v0] : (isPrime0(v0) = 0 & doDivides0(v0, all_107_0_173) = 0 & aNaturalNumber0(v0) = 0)
% 243.75/186.34 |
% 243.75/186.34 +-Applying beta-rule and splitting (1731), into two cases.
% 243.75/186.34 |-Branch one:
% 243.75/186.34 | (1732) all_107_0_173 = sz10
% 243.75/186.34 |
% 243.75/186.34 | Equations (1732) can reduce 391 to:
% 243.75/186.34 | (339) $false
% 243.75/186.34 |
% 243.75/186.34 |-The branch is then unsatisfiable
% 243.75/186.34 |-Branch two:
% 243.75/186.34 | (391) ~ (all_107_0_173 = sz10)
% 243.75/186.34 | (1735) ? [v0] : (isPrime0(v0) = 0 & doDivides0(v0, all_107_0_173) = 0 & aNaturalNumber0(v0) = 0)
% 243.75/186.34 |
% 243.75/186.34 | Instantiating formula (112) with all_107_0_173, xn, all_567_1_486, all_633_0_706 and discharging atoms doDivides0(all_107_0_173, xn) = all_633_0_706, doDivides0(all_107_0_173, xn) = all_567_1_486, yields:
% 243.75/186.34 | (1736) all_633_0_706 = all_567_1_486
% 243.75/186.34 |
% 243.75/186.34 | Instantiating formula (112) with all_107_0_173, xn, all_513_1_321, all_633_0_706 and discharging atoms doDivides0(all_107_0_173, xn) = all_633_0_706, doDivides0(all_107_0_173, xn) = all_513_1_321, yields:
% 243.75/186.34 | (1737) all_633_0_706 = all_513_1_321
% 243.75/186.34 |
% 243.75/186.34 | Instantiating formula (112) with xp, xn, all_555_6_457, all_55_7_120 and discharging atoms doDivides0(xp, xn) = all_555_6_457, doDivides0(xp, xn) = all_55_7_120, yields:
% 243.75/186.34 | (1738) all_555_6_457 = all_55_7_120
% 243.75/186.34 |
% 243.75/186.34 | Instantiating formula (112) with xp, xn, all_555_6_457, all_513_1_321 and discharging atoms doDivides0(xp, xn) = all_555_6_457, yields:
% 243.75/186.34 | (1739) all_555_6_457 = all_513_1_321 | ~ (doDivides0(xp, xn) = all_513_1_321)
% 243.75/186.34 |
% 243.75/186.34 | Instantiating formula (7) with xm, xn, all_555_10_461, all_0_12_12 and discharging atoms sdtasdt0(xm, xn) = all_555_10_461, sdtasdt0(xm, xn) = all_0_12_12, yields:
% 243.75/186.34 | (1740) all_555_10_461 = all_0_12_12
% 243.75/186.34 |
% 243.75/186.34 | Instantiating formula (31) with all_107_0_173, all_633_4_710, all_678_2_787 and discharging atoms aNaturalNumber0(all_107_0_173) = all_678_2_787, aNaturalNumber0(all_107_0_173) = all_633_4_710, yields:
% 243.75/186.34 | (1741) all_678_2_787 = all_633_4_710
% 243.75/186.34 |
% 243.75/186.34 | Instantiating formula (31) with all_107_0_173, all_625_4_694, all_678_2_787 and discharging atoms aNaturalNumber0(all_107_0_173) = all_678_2_787, aNaturalNumber0(all_107_0_173) = all_625_4_694, yields:
% 243.75/186.34 | (1742) all_678_2_787 = all_625_4_694
% 243.75/186.34 |
% 243.75/186.34 | Instantiating formula (31) with all_107_0_173, all_601_4_608, all_678_2_787 and discharging atoms aNaturalNumber0(all_107_0_173) = all_678_2_787, aNaturalNumber0(all_107_0_173) = all_601_4_608, yields:
% 243.75/186.34 | (1743) all_678_2_787 = all_601_4_608
% 243.75/186.34 |
% 243.75/186.34 | Instantiating formula (31) with all_107_0_173, all_567_4_489, 0 and discharging atoms aNaturalNumber0(all_107_0_173) = all_567_4_489, aNaturalNumber0(all_107_0_173) = 0, yields:
% 243.75/186.34 | (1744) all_567_4_489 = 0
% 243.75/186.34 |
% 243.75/186.34 | Instantiating formula (31) with all_107_0_173, all_567_4_489, all_678_2_787 and discharging atoms aNaturalNumber0(all_107_0_173) = all_678_2_787, aNaturalNumber0(all_107_0_173) = all_567_4_489, yields:
% 243.75/186.34 | (1745) all_678_2_787 = all_567_4_489
% 243.75/186.34 |
% 243.75/186.34 | Instantiating formula (31) with all_107_0_173, all_515_4_329, all_625_4_694 and discharging atoms aNaturalNumber0(all_107_0_173) = all_625_4_694, aNaturalNumber0(all_107_0_173) = all_515_4_329, yields:
% 243.75/186.34 | (1746) all_625_4_694 = all_515_4_329
% 243.75/186.34 |
% 243.75/186.34 | Instantiating formula (31) with all_107_0_173, all_513_4_324, all_567_4_489 and discharging atoms aNaturalNumber0(all_107_0_173) = all_567_4_489, aNaturalNumber0(all_107_0_173) = all_513_4_324, yields:
% 243.75/186.34 | (1747) all_567_4_489 = all_513_4_324
% 243.75/186.34 |
% 243.75/186.34 | Instantiating formula (31) with all_44_2_80, all_518_1_334, 0 and discharging atoms aNaturalNumber0(all_44_2_80) = all_518_1_334, aNaturalNumber0(all_44_2_80) = 0, yields:
% 243.75/186.34 | (1748) all_518_1_334 = 0
% 243.75/186.34 |
% 243.75/186.34 | Instantiating formula (31) with all_14_1_25, all_623_2_687, all_627_0_695 and discharging atoms aNaturalNumber0(all_14_1_25) = all_627_0_695, aNaturalNumber0(all_14_1_25) = all_623_2_687, yields:
% 243.75/186.34 | (1749) all_627_0_695 = all_623_2_687
% 243.75/186.34 |
% 243.75/186.34 | Instantiating formula (31) with all_14_1_25, all_613_2_644, all_623_2_687 and discharging atoms aNaturalNumber0(all_14_1_25) = all_623_2_687, aNaturalNumber0(all_14_1_25) = all_613_2_644, yields:
% 243.75/186.34 | (1750) all_623_2_687 = all_613_2_644
% 243.75/186.34 |
% 243.75/186.34 | Instantiating formula (31) with all_14_1_25, all_609_2_634, all_627_0_695 and discharging atoms aNaturalNumber0(all_14_1_25) = all_627_0_695, aNaturalNumber0(all_14_1_25) = all_609_2_634, yields:
% 243.75/186.34 | (1751) all_627_0_695 = all_609_2_634
% 243.75/186.34 |
% 243.75/186.34 | Instantiating formula (31) with all_14_1_25, all_603_1_610, all_623_2_687 and discharging atoms aNaturalNumber0(all_14_1_25) = all_623_2_687, aNaturalNumber0(all_14_1_25) = all_603_1_610, yields:
% 243.75/186.34 | (1752) all_623_2_687 = all_603_1_610
% 243.75/186.34 |
% 243.75/186.34 | Instantiating formula (31) with all_14_1_25, all_585_1_537, all_613_2_644 and discharging atoms aNaturalNumber0(all_14_1_25) = all_613_2_644, aNaturalNumber0(all_14_1_25) = all_585_1_537, yields:
% 243.75/186.34 | (1753) all_613_2_644 = all_585_1_537
% 243.75/186.34 |
% 243.75/186.34 | Instantiating formula (31) with all_0_2_2, all_629_2_700, all_646_13_756 and discharging atoms aNaturalNumber0(all_0_2_2) = all_646_13_756, aNaturalNumber0(all_0_2_2) = all_629_2_700, yields:
% 243.75/186.34 | (1754) all_646_13_756 = all_629_2_700
% 243.75/186.34 |
% 243.75/186.34 | Instantiating formula (31) with all_0_2_2, all_627_2_697, all_629_2_700 and discharging atoms aNaturalNumber0(all_0_2_2) = all_629_2_700, aNaturalNumber0(all_0_2_2) = all_627_2_697, yields:
% 243.75/186.34 | (1755) all_629_2_700 = all_627_2_697
% 243.75/186.34 |
% 243.75/186.34 | Instantiating formula (31) with all_0_2_2, all_625_3_693, all_627_2_697 and discharging atoms aNaturalNumber0(all_0_2_2) = all_627_2_697, aNaturalNumber0(all_0_2_2) = all_625_3_693, yields:
% 243.75/186.34 | (1756) all_627_2_697 = all_625_3_693
% 243.75/186.34 |
% 243.75/186.34 | Instantiating formula (31) with all_0_2_2, all_607_3_630, all_625_3_693 and discharging atoms aNaturalNumber0(all_0_2_2) = all_625_3_693, aNaturalNumber0(all_0_2_2) = all_607_3_630, yields:
% 243.75/186.34 | (1757) all_625_3_693 = all_607_3_630
% 243.75/186.34 |
% 243.75/186.34 | Instantiating formula (31) with all_0_2_2, all_595_14_583, all_607_3_630 and discharging atoms aNaturalNumber0(all_0_2_2) = all_607_3_630, aNaturalNumber0(all_0_2_2) = all_595_14_583, yields:
% 243.75/186.34 | (1758) all_607_3_630 = all_595_14_583
% 243.75/186.34 |
% 243.75/186.34 | Instantiating formula (31) with all_0_2_2, all_591_4_563, all_595_14_583 and discharging atoms aNaturalNumber0(all_0_2_2) = all_595_14_583, aNaturalNumber0(all_0_2_2) = all_591_4_563, yields:
% 243.75/186.34 | (1759) all_595_14_583 = all_591_4_563
% 243.75/186.34 |
% 243.75/186.34 | Instantiating formula (31) with all_0_2_2, all_581_14_530, 0 and discharging atoms aNaturalNumber0(all_0_2_2) = all_581_14_530, aNaturalNumber0(all_0_2_2) = 0, yields:
% 243.75/186.34 | (1760) all_581_14_530 = 0
% 243.75/186.34 |
% 243.75/186.34 | Instantiating formula (31) with all_0_2_2, all_579_4_515, all_591_4_563 and discharging atoms aNaturalNumber0(all_0_2_2) = all_591_4_563, aNaturalNumber0(all_0_2_2) = all_579_4_515, yields:
% 243.75/186.34 | (1761) all_591_4_563 = all_579_4_515
% 243.75/186.34 |
% 243.75/186.34 | Instantiating formula (31) with all_0_2_2, all_573_3_499, all_579_4_515 and discharging atoms aNaturalNumber0(all_0_2_2) = all_579_4_515, aNaturalNumber0(all_0_2_2) = all_573_3_499, yields:
% 243.75/186.34 | (1762) all_579_4_515 = all_573_3_499
% 243.75/186.34 |
% 243.75/186.34 | Instantiating formula (31) with all_0_2_2, all_515_2_327, all_573_3_499 and discharging atoms aNaturalNumber0(all_0_2_2) = all_573_3_499, aNaturalNumber0(all_0_2_2) = all_515_2_327, yields:
% 243.75/186.34 | (1763) all_573_3_499 = all_515_2_327
% 243.75/186.34 |
% 243.75/186.34 | Instantiating formula (31) with all_0_2_2, all_508_1_309, all_515_2_327 and discharging atoms aNaturalNumber0(all_0_2_2) = all_515_2_327, aNaturalNumber0(all_0_2_2) = all_508_1_309, yields:
% 243.75/186.34 | (1764) all_515_2_327 = all_508_1_309
% 243.75/186.34 |
% 243.75/186.34 | Instantiating formula (31) with all_0_2_2, all_506_1_306, all_581_14_530 and discharging atoms aNaturalNumber0(all_0_2_2) = all_581_14_530, aNaturalNumber0(all_0_2_2) = all_506_1_306, yields:
% 243.75/186.34 | (1765) all_581_14_530 = all_506_1_306
% 243.75/186.34 |
% 243.75/186.34 | Instantiating formula (31) with all_0_2_2, all_498_14_289, all_508_1_309 and discharging atoms aNaturalNumber0(all_0_2_2) = all_508_1_309, aNaturalNumber0(all_0_2_2) = all_498_14_289, yields:
% 243.75/186.34 | (1766) all_508_1_309 = all_498_14_289
% 243.75/186.34 |
% 243.75/186.34 | Instantiating formula (31) with all_0_2_2, all_494_13_258, all_506_1_306 and discharging atoms aNaturalNumber0(all_0_2_2) = all_506_1_306, aNaturalNumber0(all_0_2_2) = all_494_13_258, yields:
% 243.75/186.34 | (1767) all_506_1_306 = all_494_13_258
% 243.75/186.34 |
% 243.75/186.34 | Instantiating formula (31) with all_0_2_2, all_494_13_258, all_498_14_289 and discharging atoms aNaturalNumber0(all_0_2_2) = all_498_14_289, aNaturalNumber0(all_0_2_2) = all_494_13_258, yields:
% 243.75/186.34 | (1768) all_498_14_289 = all_494_13_258
% 243.75/186.34 |
% 243.75/186.34 | Instantiating formula (31) with all_0_2_2, all_490_4_239, all_646_13_756 and discharging atoms aNaturalNumber0(all_0_2_2) = all_646_13_756, aNaturalNumber0(all_0_2_2) = all_490_4_239, yields:
% 243.75/186.34 | (1769) all_646_13_756 = all_490_4_239
% 243.75/186.34 |
% 243.75/186.34 | Instantiating formula (31) with all_0_6_6, all_641_1_723, all_644_12_740 and discharging atoms aNaturalNumber0(all_0_6_6) = all_644_12_740, aNaturalNumber0(all_0_6_6) = all_641_1_723, yields:
% 243.75/186.34 | (1770) all_644_12_740 = all_641_1_723
% 243.75/186.34 |
% 243.75/186.34 | Instantiating formula (31) with all_0_6_6, all_627_1_696, all_639_1_720 and discharging atoms aNaturalNumber0(all_0_6_6) = all_639_1_720, aNaturalNumber0(all_0_6_6) = all_627_1_696, yields:
% 243.75/186.34 | (1771) all_639_1_720 = all_627_1_696
% 243.75/186.34 |
% 243.75/186.34 | Instantiating formula (31) with all_0_6_6, all_627_1_696, all_629_1_699 and discharging atoms aNaturalNumber0(all_0_6_6) = all_629_1_699, aNaturalNumber0(all_0_6_6) = all_627_1_696, yields:
% 243.75/186.34 | (1772) all_629_1_699 = all_627_1_696
% 243.75/186.34 |
% 243.75/186.34 | Instantiating formula (31) with all_0_6_6, all_589_12_556, all_629_1_699 and discharging atoms aNaturalNumber0(all_0_6_6) = all_629_1_699, aNaturalNumber0(all_0_6_6) = all_589_12_556, yields:
% 243.75/186.34 | (1773) all_629_1_699 = all_589_12_556
% 243.75/186.34 |
% 243.75/186.34 | Instantiating formula (31) with all_0_6_6, all_587_2_541, all_639_1_720 and discharging atoms aNaturalNumber0(all_0_6_6) = all_639_1_720, aNaturalNumber0(all_0_6_6) = all_587_2_541, yields:
% 243.75/186.34 | (1774) all_639_1_720 = all_587_2_541
% 243.75/186.34 |
% 243.75/186.34 | Instantiating formula (31) with all_0_6_6, all_581_12_528, all_629_1_699 and discharging atoms aNaturalNumber0(all_0_6_6) = all_629_1_699, aNaturalNumber0(all_0_6_6) = all_581_12_528, yields:
% 243.75/186.34 | (1775) all_629_1_699 = all_581_12_528
% 243.75/186.34 |
% 243.75/186.34 | Instantiating formula (31) with all_0_6_6, all_579_2_513, all_631_2_703 and discharging atoms aNaturalNumber0(all_0_6_6) = all_631_2_703, aNaturalNumber0(all_0_6_6) = all_579_2_513, yields:
% 243.75/186.34 | (1776) all_631_2_703 = all_579_2_513
% 243.75/186.34 |
% 243.75/186.34 | Instantiating formula (31) with all_0_6_6, all_545_12_420, all_629_1_699 and discharging atoms aNaturalNumber0(all_0_6_6) = all_629_1_699, aNaturalNumber0(all_0_6_6) = all_545_12_420, yields:
% 243.75/186.34 | (1777) all_629_1_699 = all_545_12_420
% 243.75/186.34 |
% 243.75/186.34 | Instantiating formula (31) with all_0_6_6, all_545_12_420, all_579_2_513 and discharging atoms aNaturalNumber0(all_0_6_6) = all_579_2_513, aNaturalNumber0(all_0_6_6) = all_545_12_420, yields:
% 243.75/186.34 | (1778) all_579_2_513 = all_545_12_420
% 243.75/186.34 |
% 243.75/186.34 | Instantiating formula (31) with all_0_6_6, all_539_3_386, all_644_12_740 and discharging atoms aNaturalNumber0(all_0_6_6) = all_644_12_740, aNaturalNumber0(all_0_6_6) = all_539_3_386, yields:
% 243.75/186.34 | (1779) all_644_12_740 = all_539_3_386
% 243.75/186.34 |
% 243.75/186.34 | Instantiating formula (31) with all_0_6_6, all_537_3_381, all_629_1_699 and discharging atoms aNaturalNumber0(all_0_6_6) = all_629_1_699, aNaturalNumber0(all_0_6_6) = all_537_3_381, yields:
% 243.75/186.34 | (1780) all_629_1_699 = all_537_3_381
% 243.75/186.34 |
% 243.75/186.34 | Instantiating formula (31) with all_0_6_6, all_535_3_376, all_641_1_723 and discharging atoms aNaturalNumber0(all_0_6_6) = all_641_1_723, aNaturalNumber0(all_0_6_6) = all_535_3_376, yields:
% 243.75/186.34 | (1781) all_641_1_723 = all_535_3_376
% 243.75/186.34 |
% 243.75/186.34 | Instantiating formula (31) with all_0_6_6, all_524_2_348, 0 and discharging atoms aNaturalNumber0(all_0_6_6) = all_524_2_348, aNaturalNumber0(all_0_6_6) = 0, yields:
% 243.75/186.34 | (1782) all_524_2_348 = 0
% 243.75/186.34 |
% 243.75/186.34 | Instantiating formula (31) with all_0_6_6, all_524_2_348, all_641_1_723 and discharging atoms aNaturalNumber0(all_0_6_6) = all_641_1_723, aNaturalNumber0(all_0_6_6) = all_524_2_348, yields:
% 243.75/186.34 | (1783) all_641_1_723 = all_524_2_348
% 243.75/186.34 |
% 243.75/186.34 | Instantiating formula (31) with all_0_6_6, all_524_2_348, all_545_12_420 and discharging atoms aNaturalNumber0(all_0_6_6) = all_545_12_420, aNaturalNumber0(all_0_6_6) = all_524_2_348, yields:
% 243.75/186.35 | (1784) all_545_12_420 = all_524_2_348
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with all_0_6_6, all_520_2_338, all_631_2_703 and discharging atoms aNaturalNumber0(all_0_6_6) = all_631_2_703, aNaturalNumber0(all_0_6_6) = all_520_2_338, yields:
% 243.75/186.35 | (1785) all_631_2_703 = all_520_2_338
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with all_0_6_6, all_486_2_229, all_641_1_723 and discharging atoms aNaturalNumber0(all_0_6_6) = all_641_1_723, aNaturalNumber0(all_0_6_6) = all_486_2_229, yields:
% 243.75/186.35 | (1786) all_641_1_723 = all_486_2_229
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xk, all_694_1_795, 0 and discharging atoms aNaturalNumber0(xk) = all_694_1_795, aNaturalNumber0(xk) = 0, yields:
% 243.75/186.35 | (1787) all_694_1_795 = 0
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xk, all_689_2_793, all_694_1_795 and discharging atoms aNaturalNumber0(xk) = all_694_1_795, aNaturalNumber0(xk) = all_689_2_793, yields:
% 243.75/186.35 | (1788) all_694_1_795 = all_689_2_793
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xk, all_684_1_789, all_689_2_793 and discharging atoms aNaturalNumber0(xk) = all_689_2_793, aNaturalNumber0(xk) = all_684_1_789, yields:
% 243.75/186.35 | (1789) all_689_2_793 = all_684_1_789
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xk, all_585_0_536, all_684_1_789 and discharging atoms aNaturalNumber0(xk) = all_684_1_789, aNaturalNumber0(xk) = all_585_0_536, yields:
% 243.75/186.35 | (1790) all_684_1_789 = all_585_0_536
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xk, all_551_0_443, all_684_1_789 and discharging atoms aNaturalNumber0(xk) = all_684_1_789, aNaturalNumber0(xk) = all_551_0_443, yields:
% 243.75/186.35 | (1791) all_684_1_789 = all_551_0_443
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xp, all_673_3_784, all_678_1_786 and discharging atoms aNaturalNumber0(xp) = all_678_1_786, aNaturalNumber0(xp) = all_673_3_784, yields:
% 243.75/186.35 | (1792) all_678_1_786 = all_673_3_784
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xp, all_668_3_780, all_673_3_784 and discharging atoms aNaturalNumber0(xp) = all_673_3_784, aNaturalNumber0(xp) = all_668_3_780, yields:
% 243.75/186.35 | (1793) all_673_3_784 = all_668_3_780
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xp, all_557_1_467, all_577_2_508 and discharging atoms aNaturalNumber0(xp) = all_577_2_508, aNaturalNumber0(xp) = all_557_1_467, yields:
% 243.75/186.35 | (1794) all_577_2_508 = all_557_1_467
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xp, all_557_1_467, all_559_1_470 and discharging atoms aNaturalNumber0(xp) = all_559_1_470, aNaturalNumber0(xp) = all_557_1_467, yields:
% 243.75/186.35 | (1795) all_559_1_470 = all_557_1_467
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xp, all_555_12_463, all_577_2_508 and discharging atoms aNaturalNumber0(xp) = all_577_2_508, aNaturalNumber0(xp) = all_555_12_463, yields:
% 243.75/186.35 | (1796) all_577_2_508 = all_555_12_463
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xp, all_553_2_448, all_577_2_508 and discharging atoms aNaturalNumber0(xp) = all_577_2_508, aNaturalNumber0(xp) = all_553_2_448, yields:
% 243.75/186.35 | (1797) all_577_2_508 = all_553_2_448
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xp, all_541_3_391, all_559_1_470 and discharging atoms aNaturalNumber0(xp) = all_559_1_470, aNaturalNumber0(xp) = all_541_3_391, yields:
% 243.75/186.35 | (1798) all_559_1_470 = all_541_3_391
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xp, all_539_2_385, all_668_3_780 and discharging atoms aNaturalNumber0(xp) = all_668_3_780, aNaturalNumber0(xp) = all_539_2_385, yields:
% 243.75/186.35 | (1799) all_668_3_780 = all_539_2_385
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xp, all_535_2_375, 0 and discharging atoms aNaturalNumber0(xp) = all_535_2_375, aNaturalNumber0(xp) = 0, yields:
% 243.75/186.35 | (1800) all_535_2_375 = 0
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xp, all_529_2_361, all_539_2_385 and discharging atoms aNaturalNumber0(xp) = all_539_2_385, aNaturalNumber0(xp) = all_529_2_361, yields:
% 243.75/186.35 | (1801) all_539_2_385 = all_529_2_361
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xp, all_524_3_349, all_535_2_375 and discharging atoms aNaturalNumber0(xp) = all_535_2_375, aNaturalNumber0(xp) = all_524_3_349, yields:
% 243.75/186.35 | (1802) all_535_2_375 = all_524_3_349
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xp, all_522_2_343, all_535_2_375 and discharging atoms aNaturalNumber0(xp) = all_535_2_375, aNaturalNumber0(xp) = all_522_2_343, yields:
% 243.75/186.35 | (1803) all_535_2_375 = all_522_2_343
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xp, all_520_3_339, all_553_2_448 and discharging atoms aNaturalNumber0(xp) = all_553_2_448, aNaturalNumber0(xp) = all_520_3_339, yields:
% 243.75/186.35 | (1804) all_553_2_448 = all_520_3_339
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xp, all_520_3_339, all_537_2_380 and discharging atoms aNaturalNumber0(xp) = all_537_2_380, aNaturalNumber0(xp) = all_520_3_339, yields:
% 243.75/186.35 | (1805) all_537_2_380 = all_520_3_339
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xp, all_518_2_335, all_529_2_361 and discharging atoms aNaturalNumber0(xp) = all_529_2_361, aNaturalNumber0(xp) = all_518_2_335, yields:
% 243.75/186.35 | (1806) all_529_2_361 = all_518_2_335
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xp, all_518_2_335, all_522_2_343 and discharging atoms aNaturalNumber0(xp) = all_522_2_343, aNaturalNumber0(xp) = all_518_2_335, yields:
% 243.75/186.35 | (1807) all_522_2_343 = all_518_2_335
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xp, all_518_2_335, all_520_3_339 and discharging atoms aNaturalNumber0(xp) = all_520_3_339, aNaturalNumber0(xp) = all_518_2_335, yields:
% 243.75/186.35 | (1808) all_520_3_339 = all_518_2_335
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xp, all_504_3_303, all_678_1_786 and discharging atoms aNaturalNumber0(xp) = all_678_1_786, aNaturalNumber0(xp) = all_504_3_303, yields:
% 243.75/186.35 | (1809) all_678_1_786 = all_504_3_303
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xp, all_502_3_298, all_553_2_448 and discharging atoms aNaturalNumber0(xp) = all_553_2_448, aNaturalNumber0(xp) = all_502_3_298, yields:
% 243.75/186.35 | (1810) all_553_2_448 = all_502_3_298
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xp, all_488_2_234, all_537_2_380 and discharging atoms aNaturalNumber0(xp) = all_537_2_380, aNaturalNumber0(xp) = all_488_2_234, yields:
% 243.75/186.35 | (1811) all_537_2_380 = all_488_2_234
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xm, all_646_14_757, all_673_1_782 and discharging atoms aNaturalNumber0(xm) = all_673_1_782, aNaturalNumber0(xm) = all_646_14_757, yields:
% 243.75/186.35 | (1812) all_673_1_782 = all_646_14_757
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xm, all_623_3_688, all_625_2_692 and discharging atoms aNaturalNumber0(xm) = all_625_2_692, aNaturalNumber0(xm) = all_623_3_688, yields:
% 243.75/186.35 | (1813) all_625_2_692 = all_623_3_688
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xm, all_619_4_669, all_623_3_688 and discharging atoms aNaturalNumber0(xm) = all_623_3_688, aNaturalNumber0(xm) = all_619_4_669, yields:
% 243.75/186.35 | (1814) all_623_3_688 = all_619_4_669
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xm, all_617_14_664, all_621_14_684 and discharging atoms aNaturalNumber0(xm) = all_621_14_684, aNaturalNumber0(xm) = all_617_14_664, yields:
% 243.75/186.35 | (1815) all_621_14_684 = all_617_14_664
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xm, all_615_2_649, all_619_4_669 and discharging atoms aNaturalNumber0(xm) = all_619_4_669, aNaturalNumber0(xm) = all_615_2_649, yields:
% 243.75/186.35 | (1816) all_619_4_669 = all_615_2_649
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xm, all_613_3_645, all_625_2_692 and discharging atoms aNaturalNumber0(xm) = all_625_2_692, aNaturalNumber0(xm) = all_613_3_645, yields:
% 243.75/186.35 | (1817) all_625_2_692 = all_613_3_645
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xm, all_611_4_641, all_617_14_664 and discharging atoms aNaturalNumber0(xm) = all_617_14_664, aNaturalNumber0(xm) = all_611_4_641, yields:
% 243.75/186.35 | (1818) all_617_14_664 = all_611_4_641
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xm, all_609_3_635, all_611_4_641 and discharging atoms aNaturalNumber0(xm) = all_611_4_641, aNaturalNumber0(xm) = all_609_3_635, yields:
% 243.75/186.35 | (1819) all_611_4_641 = all_609_3_635
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xm, all_607_4_631, all_646_14_757 and discharging atoms aNaturalNumber0(xm) = all_646_14_757, aNaturalNumber0(xm) = all_607_4_631, yields:
% 243.75/186.35 | (1820) all_646_14_757 = all_607_4_631
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xm, all_603_2_611, all_607_4_631 and discharging atoms aNaturalNumber0(xm) = all_607_4_631, aNaturalNumber0(xm) = all_603_2_611, yields:
% 243.75/186.35 | (1821) all_607_4_631 = all_603_2_611
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xm, all_601_3_607, all_603_2_611 and discharging atoms aNaturalNumber0(xm) = all_603_2_611, aNaturalNumber0(xm) = all_601_3_607, yields:
% 243.75/186.35 | (1822) all_603_2_611 = all_601_3_607
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xm, all_595_13_582, all_601_3_607 and discharging atoms aNaturalNumber0(xm) = all_601_3_607, aNaturalNumber0(xm) = all_595_13_582, yields:
% 243.75/186.35 | (1823) all_601_3_607 = all_595_13_582
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xm, all_591_3_562, all_615_2_649 and discharging atoms aNaturalNumber0(xm) = all_615_2_649, aNaturalNumber0(xm) = all_591_3_562, yields:
% 243.75/186.35 | (1824) all_615_2_649 = all_591_3_562
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xm, all_589_14_558, all_673_1_782 and discharging atoms aNaturalNumber0(xm) = all_673_1_782, aNaturalNumber0(xm) = all_589_14_558, yields:
% 243.75/186.35 | (1825) all_673_1_782 = all_589_14_558
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xm, all_587_4_543, all_621_14_684 and discharging atoms aNaturalNumber0(xm) = all_621_14_684, aNaturalNumber0(xm) = all_587_4_543, yields:
% 243.75/186.35 | (1826) all_621_14_684 = all_587_4_543
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xm, all_585_2_538, all_591_3_562 and discharging atoms aNaturalNumber0(xm) = all_591_3_562, aNaturalNumber0(xm) = all_585_2_538, yields:
% 243.75/186.35 | (1827) all_591_3_562 = all_585_2_538
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xm, all_581_13_529, 0 and discharging atoms aNaturalNumber0(xm) = all_581_13_529, aNaturalNumber0(xm) = 0, yields:
% 243.75/186.35 | (1828) all_581_13_529 = 0
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xm, all_579_3_514, all_595_13_582 and discharging atoms aNaturalNumber0(xm) = all_595_13_582, aNaturalNumber0(xm) = all_579_3_514, yields:
% 243.75/186.35 | (1829) all_595_13_582 = all_579_3_514
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xm, all_573_4_500, all_579_3_514 and discharging atoms aNaturalNumber0(xm) = all_579_3_514, aNaturalNumber0(xm) = all_573_4_500, yields:
% 243.75/186.35 | (1830) all_579_3_514 = all_573_4_500
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xm, all_559_2_471, all_609_3_635 and discharging atoms aNaturalNumber0(xm) = all_609_3_635, aNaturalNumber0(xm) = all_559_2_471, yields:
% 243.75/186.35 | (1831) all_609_3_635 = all_559_2_471
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xm, all_559_2_471, all_573_4_500 and discharging atoms aNaturalNumber0(xm) = all_573_4_500, aNaturalNumber0(xm) = all_559_2_471, yields:
% 243.75/186.35 | (1832) all_573_4_500 = all_559_2_471
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xm, all_557_2_468, all_591_3_562 and discharging atoms aNaturalNumber0(xm) = all_591_3_562, aNaturalNumber0(xm) = all_557_2_468, yields:
% 243.75/186.35 | (1833) all_591_3_562 = all_557_2_468
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xm, all_555_14_465, all_557_2_468 and discharging atoms aNaturalNumber0(xm) = all_557_2_468, aNaturalNumber0(xm) = all_555_14_465, yields:
% 243.75/186.35 | (1834) all_557_2_468 = all_555_14_465
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xm, all_553_4_450, all_555_14_465 and discharging atoms aNaturalNumber0(xm) = all_555_14_465, aNaturalNumber0(xm) = all_553_4_450, yields:
% 243.75/186.35 | (1835) all_555_14_465 = all_553_4_450
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xm, all_515_3_328, all_609_3_635 and discharging atoms aNaturalNumber0(xm) = all_609_3_635, aNaturalNumber0(xm) = all_515_3_328, yields:
% 243.75/186.35 | (1836) all_609_3_635 = all_515_3_328
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xm, all_515_3_328, all_553_4_450 and discharging atoms aNaturalNumber0(xm) = all_553_4_450, aNaturalNumber0(xm) = all_515_3_328, yields:
% 243.75/186.35 | (1837) all_553_4_450 = all_515_3_328
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xm, all_508_2_310, all_609_3_635 and discharging atoms aNaturalNumber0(xm) = all_609_3_635, aNaturalNumber0(xm) = all_508_2_310, yields:
% 243.75/186.35 | (1838) all_609_3_635 = all_508_2_310
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xm, all_506_2_307, all_615_2_649 and discharging atoms aNaturalNumber0(xm) = all_615_2_649, aNaturalNumber0(xm) = all_506_2_307, yields:
% 243.75/186.35 | (1839) all_615_2_649 = all_506_2_307
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xm, all_498_13_288, all_609_3_635 and discharging atoms aNaturalNumber0(xm) = all_609_3_635, aNaturalNumber0(xm) = all_498_13_288, yields:
% 243.75/186.35 | (1840) all_609_3_635 = all_498_13_288
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xm, all_498_13_288, all_581_13_529 and discharging atoms aNaturalNumber0(xm) = all_581_13_529, aNaturalNumber0(xm) = all_498_13_288, yields:
% 243.75/186.35 | (1841) all_581_13_529 = all_498_13_288
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xm, all_494_14_259, all_595_13_582 and discharging atoms aNaturalNumber0(xm) = all_595_13_582, aNaturalNumber0(xm) = all_494_14_259, yields:
% 243.75/186.35 | (1842) all_595_13_582 = all_494_14_259
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xm, all_490_3_238, all_498_13_288 and discharging atoms aNaturalNumber0(xm) = all_498_13_288, aNaturalNumber0(xm) = all_490_3_238, yields:
% 243.75/186.35 | (1843) all_498_13_288 = all_490_3_238
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xn, all_668_1_778, all_689_1_792 and discharging atoms aNaturalNumber0(xn) = all_689_1_792, aNaturalNumber0(xn) = all_668_1_778, yields:
% 243.75/186.35 | (1844) all_689_1_792 = all_668_1_778
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xn, all_633_2_708, all_648_2_760 and discharging atoms aNaturalNumber0(xn) = all_648_2_760, aNaturalNumber0(xn) = all_633_2_708, yields:
% 243.75/186.35 | (1845) all_648_2_760 = all_633_2_708
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xn, all_631_3_704, all_633_2_708 and discharging atoms aNaturalNumber0(xn) = all_633_2_708, aNaturalNumber0(xn) = all_631_3_704, yields:
% 243.75/186.35 | (1846) all_633_2_708 = all_631_3_704
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xn, all_599_13_602, all_605_14_626 and discharging atoms aNaturalNumber0(xn) = all_605_14_626, aNaturalNumber0(xn) = all_599_13_602, yields:
% 243.75/186.35 | (1847) all_605_14_626 = all_599_13_602
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xn, all_597_3_587, all_631_3_704 and discharging atoms aNaturalNumber0(xn) = all_631_3_704, aNaturalNumber0(xn) = all_597_3_587, yields:
% 243.75/186.35 | (1848) all_631_3_704 = all_597_3_587
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xn, all_593_4_568, all_699_1_798 and discharging atoms aNaturalNumber0(xn) = all_699_1_798, aNaturalNumber0(xn) = all_593_4_568, yields:
% 243.75/186.35 | (1849) all_699_1_798 = all_593_4_568
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xn, all_593_4_568, all_599_13_602 and discharging atoms aNaturalNumber0(xn) = all_599_13_602, aNaturalNumber0(xn) = all_593_4_568, yields:
% 243.75/186.35 | (1850) all_599_13_602 = all_593_4_568
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xn, all_583_3_534, all_650_2_763 and discharging atoms aNaturalNumber0(xn) = all_650_2_763, aNaturalNumber0(xn) = all_583_3_534, yields:
% 243.75/186.35 | (1851) all_650_2_763 = all_583_3_534
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xn, all_571_2_495, all_689_1_792 and discharging atoms aNaturalNumber0(xn) = all_689_1_792, aNaturalNumber0(xn) = all_571_2_495, yields:
% 243.75/186.35 | (1852) all_689_1_792 = all_571_2_495
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xn, all_569_2_492, all_644_13_741 and discharging atoms aNaturalNumber0(xn) = all_644_13_741, aNaturalNumber0(xn) = all_569_2_492, yields:
% 243.75/186.35 | (1853) all_644_13_741 = all_569_2_492
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xn, all_567_3_488, all_571_2_495 and discharging atoms aNaturalNumber0(xn) = all_571_2_495, aNaturalNumber0(xn) = all_567_3_488, yields:
% 243.75/186.35 | (1854) all_571_2_495 = all_567_3_488
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xn, all_565_3_483, all_597_3_587 and discharging atoms aNaturalNumber0(xn) = all_597_3_587, aNaturalNumber0(xn) = all_565_3_483, yields:
% 243.75/186.35 | (1855) all_597_3_587 = all_565_3_483
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xn, all_563_3_478, all_583_3_534 and discharging atoms aNaturalNumber0(xn) = all_583_3_534, aNaturalNumber0(xn) = all_563_3_478, yields:
% 243.75/186.35 | (1856) all_583_3_534 = all_563_3_478
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xn, all_561_2_474, all_563_3_478 and discharging atoms aNaturalNumber0(xn) = all_563_3_478, aNaturalNumber0(xn) = all_561_2_474, yields:
% 243.75/186.35 | (1857) all_563_3_478 = all_561_2_474
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xn, all_555_13_464, all_567_3_488 and discharging atoms aNaturalNumber0(xn) = all_567_3_488, aNaturalNumber0(xn) = all_555_13_464, yields:
% 243.75/186.35 | (1858) all_567_3_488 = all_555_13_464
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xn, all_553_3_449, all_555_13_464 and discharging atoms aNaturalNumber0(xn) = all_555_13_464, aNaturalNumber0(xn) = all_553_3_449, yields:
% 243.75/186.35 | (1859) all_555_13_464 = all_553_3_449
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xn, all_551_2_445, all_593_4_568 and discharging atoms aNaturalNumber0(xn) = all_593_4_568, aNaturalNumber0(xn) = all_551_2_445, yields:
% 243.75/186.35 | (1860) all_593_4_568 = all_551_2_445
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xn, all_551_2_445, all_565_3_483 and discharging atoms aNaturalNumber0(xn) = all_565_3_483, aNaturalNumber0(xn) = all_551_2_445, yields:
% 243.75/186.35 | (1861) all_565_3_483 = all_551_2_445
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xn, all_549_14_442, all_569_2_492 and discharging atoms aNaturalNumber0(xn) = all_569_2_492, aNaturalNumber0(xn) = all_549_14_442, yields:
% 243.75/186.35 | (1862) all_569_2_492 = all_549_14_442
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xn, all_549_14_442, all_551_2_445 and discharging atoms aNaturalNumber0(xn) = all_551_2_445, aNaturalNumber0(xn) = all_549_14_442, yields:
% 243.75/186.35 | (1863) all_551_2_445 = all_549_14_442
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xn, all_547_4_427, all_561_2_474 and discharging atoms aNaturalNumber0(xn) = all_561_2_474, aNaturalNumber0(xn) = all_547_4_427, yields:
% 243.75/186.35 | (1864) all_561_2_474 = all_547_4_427
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xn, all_545_14_422, all_553_3_449 and discharging atoms aNaturalNumber0(xn) = all_553_3_449, aNaturalNumber0(xn) = all_545_14_422, yields:
% 243.75/186.35 | (1865) all_553_3_449 = all_545_14_422
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xn, all_543_13_406, all_547_4_427 and discharging atoms aNaturalNumber0(xn) = all_547_4_427, aNaturalNumber0(xn) = all_543_13_406, yields:
% 243.75/186.35 | (1866) all_547_4_427 = all_543_13_406
% 243.75/186.35 |
% 243.75/186.35 | Instantiating formula (31) with xn, all_543_13_406, all_545_14_422 and discharging atoms aNaturalNumber0(xn) = all_545_14_422, aNaturalNumber0(xn) = all_543_13_406, yields:
% 243.75/186.36 | (1867) all_545_14_422 = all_543_13_406
% 243.75/186.36 |
% 243.75/186.36 | Instantiating formula (31) with xn, all_513_3_323, all_650_2_763 and discharging atoms aNaturalNumber0(xn) = all_650_2_763, aNaturalNumber0(xn) = all_513_3_323, yields:
% 243.75/186.36 | (1868) all_650_2_763 = all_513_3_323
% 243.75/186.36 |
% 243.75/186.36 | Instantiating formula (31) with xn, all_500_3_293, all_593_4_568 and discharging atoms aNaturalNumber0(xn) = all_593_4_568, aNaturalNumber0(xn) = all_500_3_293, yields:
% 243.75/186.36 | (1869) all_593_4_568 = all_500_3_293
% 243.75/186.36 |
% 243.75/186.36 | Instantiating formula (31) with xn, all_500_3_293, all_543_13_406 and discharging atoms aNaturalNumber0(xn) = all_543_13_406, aNaturalNumber0(xn) = all_500_3_293, yields:
% 243.75/186.36 | (1870) all_543_13_406 = all_500_3_293
% 243.75/186.36 |
% 243.75/186.36 | Instantiating formula (31) with xn, all_496_14_274, all_699_1_798 and discharging atoms aNaturalNumber0(xn) = all_699_1_798, aNaturalNumber0(xn) = all_496_14_274, yields:
% 243.75/186.36 | (1871) all_699_1_798 = all_496_14_274
% 243.75/186.36 |
% 243.75/186.36 | Instantiating formula (31) with xn, all_492_4_244, all_648_2_760 and discharging atoms aNaturalNumber0(xn) = all_648_2_760, aNaturalNumber0(xn) = all_492_4_244, yields:
% 243.75/186.36 | (1872) all_648_2_760 = all_492_4_244
% 243.75/186.36 |
% 243.75/186.36 | Instantiating formula (31) with xn, all_486_4_231, all_689_1_792 and discharging atoms aNaturalNumber0(xn) = all_689_1_792, aNaturalNumber0(xn) = all_486_4_231, yields:
% 243.75/186.36 | (1873) all_689_1_792 = all_486_4_231
% 243.75/186.36 |
% 243.75/186.36 | Instantiating formula (31) with xn, all_484_14_226, all_605_14_626 and discharging atoms aNaturalNumber0(xn) = all_605_14_626, aNaturalNumber0(xn) = all_484_14_226, yields:
% 243.75/186.36 | (1874) all_605_14_626 = all_484_14_226
% 243.75/186.36 |
% 243.75/186.36 | Instantiating formula (31) with xn, all_482_4_211, 0 and discharging atoms aNaturalNumber0(xn) = all_482_4_211, aNaturalNumber0(xn) = 0, yields:
% 243.75/186.36 | (1875) all_482_4_211 = 0
% 243.75/186.36 |
% 243.75/186.36 | Instantiating formula (31) with xn, all_482_4_211, all_599_13_602 and discharging atoms aNaturalNumber0(xn) = all_599_13_602, aNaturalNumber0(xn) = all_482_4_211, yields:
% 243.75/186.36 | (1876) all_599_13_602 = all_482_4_211
% 243.75/186.36 |
% 243.75/186.36 | Instantiating formula (31) with xn, all_480_2_206, all_644_13_741 and discharging atoms aNaturalNumber0(xn) = all_644_13_741, aNaturalNumber0(xn) = all_480_2_206, yields:
% 243.75/186.36 | (1877) all_644_13_741 = all_480_2_206
% 243.75/186.36 |
% 243.75/186.36 | Combining equations (1849,1871) yields a new equation:
% 243.75/186.36 | (1878) all_593_4_568 = all_496_14_274
% 243.75/186.36 |
% 243.75/186.36 | Simplifying 1878 yields:
% 243.75/186.36 | (1879) all_593_4_568 = all_496_14_274
% 243.75/186.36 |
% 243.75/186.36 | Combining equations (1788,1787) yields a new equation:
% 243.75/186.36 | (1880) all_689_2_793 = 0
% 243.75/186.36 |
% 243.75/186.36 | Simplifying 1880 yields:
% 243.75/186.36 | (1881) all_689_2_793 = 0
% 243.75/186.36 |
% 243.75/186.36 | Combining equations (1852,1844) yields a new equation:
% 243.75/186.36 | (1882) all_668_1_778 = all_571_2_495
% 243.75/186.36 |
% 243.75/186.36 | Combining equations (1873,1844) yields a new equation:
% 243.75/186.36 | (1883) all_668_1_778 = all_486_4_231
% 243.75/186.36 |
% 243.75/186.36 | Combining equations (1789,1881) yields a new equation:
% 243.75/186.36 | (1884) all_684_1_789 = 0
% 243.75/186.36 |
% 243.75/186.36 | Simplifying 1884 yields:
% 243.75/186.36 | (1885) all_684_1_789 = 0
% 243.75/186.36 |
% 243.75/186.36 | Combining equations (1791,1790) yields a new equation:
% 243.75/186.36 | (1886) all_585_0_536 = all_551_0_443
% 243.75/186.36 |
% 243.75/186.36 | Combining equations (1885,1790) yields a new equation:
% 243.75/186.36 | (1887) all_585_0_536 = 0
% 243.75/186.36 |
% 243.75/186.36 | Combining equations (1792,1809) yields a new equation:
% 243.75/186.36 | (1888) all_673_3_784 = all_504_3_303
% 243.75/186.36 |
% 243.75/186.36 | Simplifying 1888 yields:
% 243.75/186.36 | (1889) all_673_3_784 = all_504_3_303
% 243.75/186.36 |
% 243.75/186.36 | Combining equations (1745,1741) yields a new equation:
% 243.75/186.36 | (1890) all_633_4_710 = all_567_4_489
% 243.75/186.36 |
% 243.75/186.36 | Combining equations (1742,1741) yields a new equation:
% 243.75/186.36 | (1891) all_633_4_710 = all_625_4_694
% 243.75/186.36 |
% 243.75/186.36 | Combining equations (1743,1741) yields a new equation:
% 243.75/186.36 | (1892) all_633_4_710 = all_601_4_608
% 243.75/186.36 |
% 243.75/186.36 | Combining equations (1812,1825) yields a new equation:
% 243.75/186.36 | (1893) all_646_14_757 = all_589_14_558
% 243.75/186.36 |
% 243.75/186.36 | Simplifying 1893 yields:
% 243.75/186.36 | (1894) all_646_14_757 = all_589_14_558
% 243.75/186.36 |
% 243.75/186.36 | Combining equations (1793,1889) yields a new equation:
% 243.75/186.36 | (1895) all_668_3_780 = all_504_3_303
% 243.75/186.36 |
% 243.75/186.36 | Simplifying 1895 yields:
% 243.75/186.36 | (1896) all_668_3_780 = all_504_3_303
% 243.75/186.36 |
% 243.75/186.36 | Combining equations (1882,1883) yields a new equation:
% 243.75/186.36 | (1897) all_571_2_495 = all_486_4_231
% 243.75/186.36 |
% 243.75/186.36 | Simplifying 1897 yields:
% 243.75/186.36 | (1898) all_571_2_495 = all_486_4_231
% 243.75/186.36 |
% 243.75/186.36 | Combining equations (1799,1896) yields a new equation:
% 243.75/186.36 | (1899) all_539_2_385 = all_504_3_303
% 243.75/186.36 |
% 243.75/186.36 | Simplifying 1899 yields:
% 243.75/186.36 | (1900) all_539_2_385 = all_504_3_303
% 243.75/186.36 |
% 243.75/186.36 | Combining equations (1851,1868) yields a new equation:
% 243.75/186.36 | (1901) all_583_3_534 = all_513_3_323
% 243.75/186.36 |
% 243.75/186.36 | Simplifying 1901 yields:
% 243.75/186.36 | (1902) all_583_3_534 = all_513_3_323
% 243.75/186.36 |
% 243.75/186.36 | Combining equations (1845,1872) yields a new equation:
% 243.75/186.36 | (1903) all_633_2_708 = all_492_4_244
% 243.75/186.36 |
% 243.75/186.36 | Simplifying 1903 yields:
% 243.75/186.36 | (1904) all_633_2_708 = all_492_4_244
% 243.75/186.36 |
% 243.75/186.36 | Combining equations (1754,1769) yields a new equation:
% 243.75/186.36 | (1905) all_629_2_700 = all_490_4_239
% 243.75/186.36 |
% 243.75/186.36 | Simplifying 1905 yields:
% 243.75/186.36 | (1906) all_629_2_700 = all_490_4_239
% 243.75/186.36 |
% 243.75/186.36 | Combining equations (1820,1894) yields a new equation:
% 243.75/186.36 | (1907) all_607_4_631 = all_589_14_558
% 243.75/186.36 |
% 243.75/186.36 | Simplifying 1907 yields:
% 243.75/186.36 | (1908) all_607_4_631 = all_589_14_558
% 243.75/186.36 |
% 243.75/186.36 | Combining equations (1770,1779) yields a new equation:
% 243.75/186.36 | (1909) all_641_1_723 = all_539_3_386
% 243.75/186.36 |
% 243.75/186.36 | Simplifying 1909 yields:
% 243.75/186.36 | (1910) all_641_1_723 = all_539_3_386
% 243.75/186.36 |
% 243.75/186.36 | Combining equations (1853,1877) yields a new equation:
% 243.75/186.36 | (1911) all_569_2_492 = all_480_2_206
% 243.75/186.36 |
% 243.75/186.36 | Simplifying 1911 yields:
% 243.75/186.36 | (1912) all_569_2_492 = all_480_2_206
% 243.75/186.36 |
% 243.75/186.36 | Combining equations (1786,1910) yields a new equation:
% 243.75/186.36 | (1913) all_539_3_386 = all_486_2_229
% 243.75/186.36 |
% 243.75/186.36 | Combining equations (1783,1910) yields a new equation:
% 243.75/186.36 | (1914) all_539_3_386 = all_524_2_348
% 243.75/186.36 |
% 243.75/186.36 | Combining equations (1781,1910) yields a new equation:
% 243.75/186.36 | (1915) all_539_3_386 = all_535_3_376
% 243.75/186.36 |
% 243.75/186.36 | Combining equations (1771,1774) yields a new equation:
% 243.75/186.36 | (1916) all_627_1_696 = all_587_2_541
% 243.75/186.36 |
% 243.75/186.36 | Simplifying 1916 yields:
% 243.75/186.36 | (1917) all_627_1_696 = all_587_2_541
% 243.75/186.36 |
% 243.75/186.36 | Combining equations (1737,1736) yields a new equation:
% 243.75/186.36 | (1918) all_567_1_486 = all_513_1_321
% 243.75/186.36 |
% 243.75/186.36 | Combining equations (1846,1904) yields a new equation:
% 243.75/186.36 | (1919) all_631_3_704 = all_492_4_244
% 243.75/186.36 |
% 243.75/186.36 | Simplifying 1919 yields:
% 243.75/186.36 | (1920) all_631_3_704 = all_492_4_244
% 243.75/186.36 |
% 243.75/186.36 | Combining equations (1890,1892) yields a new equation:
% 243.75/186.36 | (1921) all_601_4_608 = all_567_4_489
% 243.75/186.36 |
% 243.75/186.36 | Combining equations (1891,1892) yields a new equation:
% 243.75/186.36 | (1922) all_625_4_694 = all_601_4_608
% 243.75/186.36 |
% 243.75/186.36 | Simplifying 1922 yields:
% 243.75/186.36 | (1923) all_625_4_694 = all_601_4_608
% 243.75/186.36 |
% 243.75/186.36 | Combining equations (1776,1785) yields a new equation:
% 243.75/186.36 | (1924) all_579_2_513 = all_520_2_338
% 243.75/186.36 |
% 243.75/186.36 | Simplifying 1924 yields:
% 243.75/186.36 | (1925) all_579_2_513 = all_520_2_338
% 243.75/186.36 |
% 243.75/186.36 | Combining equations (1848,1920) yields a new equation:
% 243.75/186.36 | (1926) all_597_3_587 = all_492_4_244
% 243.75/186.36 |
% 243.75/186.36 | Simplifying 1926 yields:
% 243.75/186.36 | (1927) all_597_3_587 = all_492_4_244
% 243.75/186.36 |
% 243.75/186.36 | Combining equations (1780,1773) yields a new equation:
% 243.75/186.36 | (1928) all_589_12_556 = all_537_3_381
% 243.75/186.36 |
% 243.75/186.36 | Combining equations (1775,1773) yields a new equation:
% 243.75/186.36 | (1929) all_589_12_556 = all_581_12_528
% 243.75/186.36 |
% 243.75/186.36 | Combining equations (1777,1773) yields a new equation:
% 243.75/186.36 | (1930) all_589_12_556 = all_545_12_420
% 243.75/186.36 |
% 243.75/186.36 | Combining equations (1772,1773) yields a new equation:
% 243.75/186.36 | (1931) all_627_1_696 = all_589_12_556
% 243.75/186.36 |
% 243.75/186.36 | Simplifying 1931 yields:
% 243.75/186.36 | (1932) all_627_1_696 = all_589_12_556
% 243.75/186.36 |
% 243.75/186.36 | Combining equations (1755,1906) yields a new equation:
% 243.75/186.36 | (1933) all_627_2_697 = all_490_4_239
% 243.75/186.36 |
% 243.75/186.36 | Simplifying 1933 yields:
% 243.75/186.36 | (1934) all_627_2_697 = all_490_4_239
% 243.75/186.36 |
% 243.75/186.36 | Combining equations (1749,1751) yields a new equation:
% 243.75/186.36 | (1935) all_623_2_687 = all_609_2_634
% 243.75/186.36 |
% 243.75/186.36 | Simplifying 1935 yields:
% 243.75/186.36 | (1936) all_623_2_687 = all_609_2_634
% 243.75/186.36 |
% 243.75/186.36 | Combining equations (1932,1917) yields a new equation:
% 243.75/186.36 | (1937) all_589_12_556 = all_587_2_541
% 243.75/186.36 |
% 243.75/186.36 | Simplifying 1937 yields:
% 243.75/186.36 | (1938) all_589_12_556 = all_587_2_541
% 243.75/186.36 |
% 243.75/186.36 | Combining equations (1756,1934) yields a new equation:
% 243.75/186.36 | (1939) all_625_3_693 = all_490_4_239
% 243.75/186.36 |
% 243.75/186.36 | Simplifying 1939 yields:
% 243.75/186.36 | (1940) all_625_3_693 = all_490_4_239
% 243.75/186.36 |
% 243.75/186.36 | Combining equations (1813,1817) yields a new equation:
% 243.75/186.36 | (1941) all_623_3_688 = all_613_3_645
% 243.75/186.36 |
% 243.75/186.36 | Simplifying 1941 yields:
% 243.75/186.36 | (1942) all_623_3_688 = all_613_3_645
% 243.75/186.36 |
% 243.75/186.36 | Combining equations (1757,1940) yields a new equation:
% 243.75/186.36 | (1943) all_607_3_630 = all_490_4_239
% 243.75/186.36 |
% 243.75/186.36 | Simplifying 1943 yields:
% 243.75/186.36 | (1944) all_607_3_630 = all_490_4_239
% 243.75/186.36 |
% 243.75/186.36 | Combining equations (1923,1746) yields a new equation:
% 243.75/186.36 | (1945) all_601_4_608 = all_515_4_329
% 243.75/186.37 |
% 243.75/186.37 | Simplifying 1945 yields:
% 243.75/186.37 | (1946) all_601_4_608 = all_515_4_329
% 243.75/186.37 |
% 243.75/186.37 | Combining equations (1750,1936) yields a new equation:
% 243.75/186.37 | (1947) all_613_2_644 = all_609_2_634
% 243.75/186.37 |
% 243.75/186.37 | Simplifying 1947 yields:
% 243.75/186.37 | (1948) all_613_2_644 = all_609_2_634
% 243.75/186.37 |
% 243.75/186.37 | Combining equations (1752,1936) yields a new equation:
% 243.75/186.37 | (1949) all_609_2_634 = all_603_1_610
% 243.75/186.37 |
% 243.75/186.37 | Combining equations (1814,1942) yields a new equation:
% 243.75/186.37 | (1950) all_619_4_669 = all_613_3_645
% 243.75/186.37 |
% 243.75/186.37 | Simplifying 1950 yields:
% 243.75/186.37 | (1951) all_619_4_669 = all_613_3_645
% 243.75/186.37 |
% 243.75/186.37 | Combining equations (1815,1826) yields a new equation:
% 243.75/186.37 | (1952) all_617_14_664 = all_587_4_543
% 243.75/186.37 |
% 243.75/186.37 | Simplifying 1952 yields:
% 243.75/186.37 | (1953) all_617_14_664 = all_587_4_543
% 243.75/186.37 |
% 243.75/186.37 | Combining equations (1816,1951) yields a new equation:
% 243.75/186.37 | (1954) all_615_2_649 = all_613_3_645
% 243.75/186.37 |
% 243.75/186.37 | Simplifying 1954 yields:
% 243.75/186.37 | (1955) all_615_2_649 = all_613_3_645
% 243.75/186.37 |
% 243.75/186.37 | Combining equations (1818,1953) yields a new equation:
% 243.75/186.37 | (1956) all_611_4_641 = all_587_4_543
% 243.75/186.37 |
% 243.75/186.37 | Simplifying 1956 yields:
% 243.75/186.37 | (1957) all_611_4_641 = all_587_4_543
% 243.75/186.37 |
% 243.75/186.37 | Combining equations (1824,1955) yields a new equation:
% 243.75/186.37 | (1958) all_613_3_645 = all_591_3_562
% 243.75/186.37 |
% 243.75/186.37 | Combining equations (1839,1955) yields a new equation:
% 243.75/186.37 | (1959) all_613_3_645 = all_506_2_307
% 243.75/186.37 |
% 243.75/186.37 | Combining equations (1948,1753) yields a new equation:
% 243.75/186.37 | (1960) all_609_2_634 = all_585_1_537
% 243.75/186.37 |
% 243.75/186.37 | Simplifying 1960 yields:
% 243.75/186.37 | (1961) all_609_2_634 = all_585_1_537
% 243.75/186.37 |
% 243.75/186.37 | Combining equations (1958,1959) yields a new equation:
% 243.75/186.37 | (1962) all_591_3_562 = all_506_2_307
% 243.75/186.37 |
% 243.75/186.37 | Simplifying 1962 yields:
% 243.75/186.37 | (1963) all_591_3_562 = all_506_2_307
% 243.75/186.37 |
% 243.75/186.37 | Combining equations (1819,1957) yields a new equation:
% 243.75/186.37 | (1964) all_609_3_635 = all_587_4_543
% 243.75/186.37 |
% 243.75/186.37 | Simplifying 1964 yields:
% 243.75/186.37 | (1965) all_609_3_635 = all_587_4_543
% 243.75/186.37 |
% 243.75/186.37 | Combining equations (1949,1961) yields a new equation:
% 243.75/186.37 | (1966) all_603_1_610 = all_585_1_537
% 243.75/186.37 |
% 243.75/186.37 | Simplifying 1966 yields:
% 243.75/186.37 | (1967) all_603_1_610 = all_585_1_537
% 243.75/186.37 |
% 243.75/186.37 | Combining equations (1831,1965) yields a new equation:
% 243.75/186.37 | (1968) all_587_4_543 = all_559_2_471
% 243.75/186.37 |
% 243.75/186.37 | Combining equations (1840,1965) yields a new equation:
% 243.75/186.37 | (1969) all_587_4_543 = all_498_13_288
% 243.75/186.37 |
% 243.75/186.37 | Combining equations (1836,1965) yields a new equation:
% 243.75/186.37 | (1970) all_587_4_543 = all_515_3_328
% 243.75/186.37 |
% 243.75/186.37 | Combining equations (1838,1965) yields a new equation:
% 243.75/186.37 | (1971) all_587_4_543 = all_508_2_310
% 243.75/186.37 |
% 243.75/186.37 | Combining equations (1758,1944) yields a new equation:
% 243.75/186.37 | (1972) all_595_14_583 = all_490_4_239
% 243.75/186.37 |
% 243.75/186.37 | Simplifying 1972 yields:
% 243.75/186.37 | (1973) all_595_14_583 = all_490_4_239
% 243.75/186.37 |
% 243.75/186.37 | Combining equations (1821,1908) yields a new equation:
% 243.75/186.37 | (1974) all_603_2_611 = all_589_14_558
% 243.75/186.37 |
% 243.75/186.37 | Simplifying 1974 yields:
% 243.75/186.37 | (1975) all_603_2_611 = all_589_14_558
% 243.75/186.37 |
% 243.75/186.37 | Combining equations (1847,1874) yields a new equation:
% 243.75/186.37 | (1976) all_599_13_602 = all_484_14_226
% 243.75/186.37 |
% 243.75/186.37 | Simplifying 1976 yields:
% 243.75/186.37 | (1977) all_599_13_602 = all_484_14_226
% 243.75/186.37 |
% 243.75/186.37 | Combining equations (1822,1975) yields a new equation:
% 243.75/186.37 | (1978) all_601_3_607 = all_589_14_558
% 243.75/186.37 |
% 243.75/186.37 | Simplifying 1978 yields:
% 243.75/186.37 | (1979) all_601_3_607 = all_589_14_558
% 243.75/186.37 |
% 243.75/186.37 | Combining equations (1823,1979) yields a new equation:
% 243.75/186.37 | (1980) all_595_13_582 = all_589_14_558
% 243.75/186.37 |
% 243.75/186.37 | Simplifying 1980 yields:
% 243.75/186.37 | (1981) all_595_13_582 = all_589_14_558
% 243.75/186.37 |
% 243.75/186.37 | Combining equations (1921,1946) yields a new equation:
% 243.75/186.37 | (1982) all_567_4_489 = all_515_4_329
% 243.75/186.37 |
% 243.75/186.37 | Simplifying 1982 yields:
% 243.75/186.37 | (1983) all_567_4_489 = all_515_4_329
% 243.75/186.37 |
% 243.75/186.37 | Combining equations (1876,1977) yields a new equation:
% 243.75/186.37 | (1984) all_484_14_226 = all_482_4_211
% 243.75/186.37 |
% 243.75/186.37 | Combining equations (1850,1977) yields a new equation:
% 243.75/186.37 | (1985) all_593_4_568 = all_484_14_226
% 243.75/186.37 |
% 243.75/186.37 | Simplifying 1985 yields:
% 243.75/186.37 | (1986) all_593_4_568 = all_484_14_226
% 243.75/186.37 |
% 243.75/186.37 | Combining equations (1855,1927) yields a new equation:
% 243.75/186.37 | (1987) all_565_3_483 = all_492_4_244
% 243.75/186.37 |
% 243.75/186.37 | Simplifying 1987 yields:
% 243.75/186.37 | (1988) all_565_3_483 = all_492_4_244
% 243.75/186.37 |
% 243.75/186.37 | Combining equations (1842,1981) yields a new equation:
% 243.75/186.37 | (1989) all_589_14_558 = all_494_14_259
% 243.75/186.37 |
% 243.75/186.37 | Combining equations (1829,1981) yields a new equation:
% 243.75/186.37 | (1990) all_589_14_558 = all_579_3_514
% 243.75/186.37 |
% 243.75/186.37 | Combining equations (1759,1973) yields a new equation:
% 243.75/186.37 | (1991) all_591_4_563 = all_490_4_239
% 243.75/186.37 |
% 243.75/186.37 | Simplifying 1991 yields:
% 243.75/186.37 | (1992) all_591_4_563 = all_490_4_239
% 243.75/186.37 |
% 243.75/186.37 | Combining equations (1869,1879) yields a new equation:
% 243.75/186.37 | (1993) all_500_3_293 = all_496_14_274
% 243.75/186.37 |
% 243.75/186.37 | Simplifying 1993 yields:
% 243.75/186.37 | (1994) all_500_3_293 = all_496_14_274
% 243.75/186.37 |
% 243.75/186.37 | Combining equations (1860,1879) yields a new equation:
% 243.75/186.37 | (1995) all_551_2_445 = all_496_14_274
% 243.75/186.37 |
% 243.75/186.37 | Simplifying 1995 yields:
% 243.75/186.37 | (1996) all_551_2_445 = all_496_14_274
% 243.75/186.37 |
% 243.75/186.37 | Combining equations (1986,1879) yields a new equation:
% 243.75/186.37 | (1997) all_496_14_274 = all_484_14_226
% 243.75/186.37 |
% 243.75/186.37 | Combining equations (1833,1827) yields a new equation:
% 243.75/186.37 | (1998) all_585_2_538 = all_557_2_468
% 243.75/186.37 |
% 243.75/186.37 | Combining equations (1963,1827) yields a new equation:
% 243.75/186.37 | (1999) all_585_2_538 = all_506_2_307
% 243.75/186.37 |
% 243.75/186.37 | Combining equations (1761,1992) yields a new equation:
% 243.75/186.37 | (2000) all_579_4_515 = all_490_4_239
% 243.75/186.37 |
% 243.75/186.37 | Simplifying 2000 yields:
% 243.75/186.37 | (2001) all_579_4_515 = all_490_4_239
% 243.75/186.37 |
% 243.75/186.37 | Combining equations (1929,1938) yields a new equation:
% 243.75/186.37 | (2002) all_587_2_541 = all_581_12_528
% 243.75/186.37 |
% 243.75/186.37 | Combining equations (1930,1938) yields a new equation:
% 243.75/186.37 | (2003) all_587_2_541 = all_545_12_420
% 243.75/186.37 |
% 243.75/186.37 | Combining equations (1928,1938) yields a new equation:
% 243.75/186.37 | (2004) all_587_2_541 = all_537_3_381
% 243.75/186.37 |
% 243.75/186.37 | Combining equations (1990,1989) yields a new equation:
% 243.75/186.37 | (2005) all_579_3_514 = all_494_14_259
% 243.75/186.37 |
% 243.75/186.37 | Simplifying 2005 yields:
% 243.75/186.37 | (2006) all_579_3_514 = all_494_14_259
% 243.75/186.37 |
% 243.75/186.37 | Combining equations (2003,2002) yields a new equation:
% 243.75/186.37 | (2007) all_581_12_528 = all_545_12_420
% 243.75/186.37 |
% 243.75/186.37 | Combining equations (2004,2002) yields a new equation:
% 243.75/186.37 | (2008) all_581_12_528 = all_537_3_381
% 243.75/186.37 |
% 243.75/186.37 | Combining equations (1968,1971) yields a new equation:
% 243.75/186.37 | (2009) all_559_2_471 = all_508_2_310
% 243.75/186.37 |
% 243.75/186.37 | Simplifying 2009 yields:
% 243.75/186.37 | (2010) all_559_2_471 = all_508_2_310
% 243.75/186.37 |
% 243.75/186.37 | Combining equations (1970,1971) yields a new equation:
% 243.75/186.37 | (2011) all_515_3_328 = all_508_2_310
% 243.75/186.37 |
% 243.75/186.37 | Simplifying 2011 yields:
% 243.75/186.37 | (2012) all_515_3_328 = all_508_2_310
% 243.75/186.37 |
% 243.75/186.37 | Combining equations (1969,1971) yields a new equation:
% 243.75/186.37 | (2013) all_508_2_310 = all_498_13_288
% 243.75/186.37 |
% 243.75/186.37 | Combining equations (1886,1887) yields a new equation:
% 243.75/186.37 | (2014) all_551_0_443 = 0
% 243.75/186.37 |
% 243.75/186.37 | Simplifying 2014 yields:
% 243.75/186.37 | (2015) all_551_0_443 = 0
% 243.75/186.37 |
% 243.75/186.37 | Combining equations (1998,1999) yields a new equation:
% 243.75/186.37 | (2016) all_557_2_468 = all_506_2_307
% 243.75/186.37 |
% 243.75/186.37 | Simplifying 2016 yields:
% 243.75/186.37 | (2017) all_557_2_468 = all_506_2_307
% 243.75/186.37 |
% 243.75/186.37 | Combining equations (1856,1902) yields a new equation:
% 243.75/186.37 | (2018) all_563_3_478 = all_513_3_323
% 243.75/186.37 |
% 243.75/186.37 | Simplifying 2018 yields:
% 243.75/186.37 | (2019) all_563_3_478 = all_513_3_323
% 243.75/186.37 |
% 243.75/186.37 | Combining equations (2007,2008) yields a new equation:
% 243.75/186.37 | (2020) all_545_12_420 = all_537_3_381
% 243.75/186.37 |
% 243.75/186.37 | Simplifying 2020 yields:
% 243.75/186.37 | (2021) all_545_12_420 = all_537_3_381
% 243.75/186.37 |
% 243.75/186.37 | Combining equations (1841,1828) yields a new equation:
% 243.75/186.38 | (2022) all_498_13_288 = 0
% 243.75/186.38 |
% 243.75/186.38 | Simplifying 2022 yields:
% 243.75/186.38 | (2023) all_498_13_288 = 0
% 243.75/186.38 |
% 243.75/186.38 | Combining equations (1765,1760) yields a new equation:
% 243.75/186.38 | (2024) all_506_1_306 = 0
% 243.75/186.38 |
% 243.75/186.38 | Simplifying 2024 yields:
% 243.75/186.38 | (2025) all_506_1_306 = 0
% 243.75/186.38 |
% 243.75/186.38 | Combining equations (1778,1925) yields a new equation:
% 243.75/186.38 | (2026) all_545_12_420 = all_520_2_338
% 243.75/186.38 |
% 243.75/186.38 | Simplifying 2026 yields:
% 243.75/186.38 | (2027) all_545_12_420 = all_520_2_338
% 243.75/186.38 |
% 243.75/186.38 | Combining equations (1830,2006) yields a new equation:
% 243.75/186.38 | (2028) all_573_4_500 = all_494_14_259
% 243.75/186.38 |
% 243.75/186.38 | Simplifying 2028 yields:
% 243.75/186.38 | (2029) all_573_4_500 = all_494_14_259
% 243.75/186.38 |
% 243.75/186.38 | Combining equations (1762,2001) yields a new equation:
% 243.75/186.38 | (2030) all_573_3_499 = all_490_4_239
% 243.75/186.38 |
% 243.75/186.38 | Simplifying 2030 yields:
% 243.75/186.38 | (2031) all_573_3_499 = all_490_4_239
% 243.75/186.38 |
% 243.75/186.38 | Combining equations (1797,1796) yields a new equation:
% 243.75/186.38 | (2032) all_555_12_463 = all_553_2_448
% 243.75/186.38 |
% 243.75/186.38 | Combining equations (1794,1796) yields a new equation:
% 243.75/186.38 | (2033) all_557_1_467 = all_555_12_463
% 243.75/186.38 |
% 243.75/186.38 | Simplifying 2033 yields:
% 243.75/186.38 | (2034) all_557_1_467 = all_555_12_463
% 243.75/186.38 |
% 243.75/186.38 | Combining equations (1763,2031) yields a new equation:
% 243.75/186.38 | (2035) all_515_2_327 = all_490_4_239
% 243.75/186.38 |
% 243.75/186.38 | Simplifying 2035 yields:
% 243.75/186.38 | (2036) all_515_2_327 = all_490_4_239
% 243.75/186.38 |
% 243.75/186.38 | Combining equations (1832,2029) yields a new equation:
% 243.75/186.38 | (2037) all_559_2_471 = all_494_14_259
% 243.75/186.38 |
% 243.75/186.38 | Simplifying 2037 yields:
% 243.75/186.38 | (2038) all_559_2_471 = all_494_14_259
% 243.75/186.38 |
% 243.75/186.38 | Combining equations (1854,1898) yields a new equation:
% 243.75/186.38 | (2039) all_567_3_488 = all_486_4_231
% 243.75/186.38 |
% 243.75/186.38 | Simplifying 2039 yields:
% 243.75/186.38 | (2040) all_567_3_488 = all_486_4_231
% 243.75/186.38 |
% 243.75/186.38 | Combining equations (1862,1912) yields a new equation:
% 243.75/186.38 | (2041) all_549_14_442 = all_480_2_206
% 243.75/186.38 |
% 243.75/186.38 | Simplifying 2041 yields:
% 243.75/186.38 | (2042) all_549_14_442 = all_480_2_206
% 243.75/186.38 |
% 243.75/186.38 | Combining equations (1858,2040) yields a new equation:
% 243.75/186.38 | (2043) all_555_13_464 = all_486_4_231
% 243.75/186.38 |
% 243.75/186.38 | Simplifying 2043 yields:
% 243.75/186.38 | (2044) all_555_13_464 = all_486_4_231
% 243.75/186.38 |
% 243.75/186.38 | Combining equations (1747,1983) yields a new equation:
% 243.75/186.38 | (2045) all_515_4_329 = all_513_4_324
% 243.75/186.38 |
% 243.75/186.38 | Combining equations (1744,1983) yields a new equation:
% 243.75/186.38 | (2046) all_515_4_329 = 0
% 243.75/186.38 |
% 243.75/186.38 | Combining equations (1861,1988) yields a new equation:
% 243.75/186.38 | (2047) all_551_2_445 = all_492_4_244
% 243.75/186.38 |
% 243.75/186.38 | Simplifying 2047 yields:
% 243.75/186.38 | (2048) all_551_2_445 = all_492_4_244
% 243.75/186.38 |
% 243.75/186.38 | Combining equations (1857,2019) yields a new equation:
% 243.75/186.38 | (2049) all_561_2_474 = all_513_3_323
% 243.75/186.38 |
% 243.75/186.38 | Simplifying 2049 yields:
% 243.75/186.38 | (2050) all_561_2_474 = all_513_3_323
% 243.75/186.38 |
% 243.75/186.38 | Combining equations (1864,2050) yields a new equation:
% 243.75/186.38 | (2051) all_547_4_427 = all_513_3_323
% 243.75/186.38 |
% 243.75/186.38 | Simplifying 2051 yields:
% 243.75/186.38 | (2052) all_547_4_427 = all_513_3_323
% 243.75/186.38 |
% 243.75/186.38 | Combining equations (1795,1798) yields a new equation:
% 243.75/186.38 | (2053) all_557_1_467 = all_541_3_391
% 243.75/186.38 |
% 243.75/186.38 | Simplifying 2053 yields:
% 243.75/186.38 | (2054) all_557_1_467 = all_541_3_391
% 243.75/186.38 |
% 243.75/186.38 | Combining equations (2010,2038) yields a new equation:
% 243.75/186.38 | (2055) all_508_2_310 = all_494_14_259
% 243.75/186.38 |
% 243.75/186.38 | Simplifying 2055 yields:
% 243.75/186.38 | (2056) all_508_2_310 = all_494_14_259
% 243.75/186.38 |
% 243.75/186.38 | Combining equations (2034,2054) yields a new equation:
% 243.75/186.38 | (2057) all_555_12_463 = all_541_3_391
% 243.75/186.38 |
% 243.75/186.38 | Simplifying 2057 yields:
% 243.75/186.38 | (2058) all_555_12_463 = all_541_3_391
% 243.75/186.38 |
% 243.75/186.38 | Combining equations (1834,2017) yields a new equation:
% 243.75/186.38 | (2059) all_555_14_465 = all_506_2_307
% 243.75/186.38 |
% 243.75/186.38 | Simplifying 2059 yields:
% 243.75/186.38 | (2060) all_555_14_465 = all_506_2_307
% 243.75/186.38 |
% 243.75/186.38 | Combining equations (2032,2058) yields a new equation:
% 243.75/186.38 | (2061) all_553_2_448 = all_541_3_391
% 243.75/186.38 |
% 243.75/186.38 | Simplifying 2061 yields:
% 243.75/186.38 | (2062) all_553_2_448 = all_541_3_391
% 243.75/186.38 |
% 243.75/186.38 | Combining equations (1859,2044) yields a new equation:
% 243.75/186.38 | (2063) all_553_3_449 = all_486_4_231
% 243.75/186.38 |
% 243.75/186.38 | Simplifying 2063 yields:
% 243.75/186.38 | (2064) all_553_3_449 = all_486_4_231
% 243.75/186.38 |
% 243.75/186.38 | Combining equations (1835,2060) yields a new equation:
% 243.75/186.38 | (2065) all_553_4_450 = all_506_2_307
% 243.75/186.38 |
% 243.75/186.38 | Simplifying 2065 yields:
% 243.75/186.38 | (2066) all_553_4_450 = all_506_2_307
% 243.75/186.38 |
% 243.75/186.38 | Combining equations (1804,2062) yields a new equation:
% 243.75/186.38 | (2067) all_541_3_391 = all_520_3_339
% 243.75/186.38 |
% 243.75/186.38 | Combining equations (1810,2062) yields a new equation:
% 243.75/186.38 | (2068) all_541_3_391 = all_502_3_298
% 243.75/186.38 |
% 243.75/186.38 | Combining equations (1865,2064) yields a new equation:
% 243.75/186.38 | (2069) all_545_14_422 = all_486_4_231
% 243.75/186.38 |
% 243.75/186.38 | Simplifying 2069 yields:
% 243.75/186.38 | (2070) all_545_14_422 = all_486_4_231
% 243.75/186.38 |
% 243.75/186.38 | Combining equations (1837,2066) yields a new equation:
% 243.75/186.38 | (2071) all_515_3_328 = all_506_2_307
% 243.75/186.38 |
% 243.75/186.38 | Simplifying 2071 yields:
% 243.75/186.38 | (2072) all_515_3_328 = all_506_2_307
% 243.75/186.38 |
% 243.75/186.38 | Combining equations (1996,2048) yields a new equation:
% 243.75/186.38 | (2073) all_496_14_274 = all_492_4_244
% 243.75/186.38 |
% 243.75/186.38 | Simplifying 2073 yields:
% 243.75/186.38 | (2074) all_496_14_274 = all_492_4_244
% 243.75/186.38 |
% 243.75/186.38 | Combining equations (1863,2048) yields a new equation:
% 243.75/186.38 | (2075) all_549_14_442 = all_492_4_244
% 243.75/186.38 |
% 243.75/186.38 | Simplifying 2075 yields:
% 243.75/186.38 | (2076) all_549_14_442 = all_492_4_244
% 243.75/186.38 |
% 243.75/186.38 | Combining equations (2076,2042) yields a new equation:
% 243.75/186.38 | (2077) all_492_4_244 = all_480_2_206
% 243.75/186.38 |
% 243.75/186.38 | Simplifying 2077 yields:
% 243.75/186.38 | (2078) all_492_4_244 = all_480_2_206
% 243.75/186.38 |
% 243.75/186.38 | Combining equations (1866,2052) yields a new equation:
% 243.75/186.38 | (2079) all_543_13_406 = all_513_3_323
% 243.75/186.38 |
% 243.75/186.38 | Simplifying 2079 yields:
% 243.75/186.38 | (2080) all_543_13_406 = all_513_3_323
% 243.75/186.38 |
% 243.75/186.38 | Combining equations (2027,2021) yields a new equation:
% 243.75/186.38 | (2081) all_537_3_381 = all_520_2_338
% 243.75/186.38 |
% 243.75/186.38 | Combining equations (1784,2021) yields a new equation:
% 243.75/186.38 | (2082) all_537_3_381 = all_524_2_348
% 243.75/186.38 |
% 243.75/186.38 | Combining equations (1867,2070) yields a new equation:
% 243.75/186.38 | (2083) all_543_13_406 = all_486_4_231
% 243.75/186.38 |
% 243.75/186.38 | Simplifying 2083 yields:
% 243.75/186.38 | (2084) all_543_13_406 = all_486_4_231
% 243.75/186.38 |
% 243.75/186.38 | Combining equations (1870,2080) yields a new equation:
% 243.75/186.38 | (2085) all_513_3_323 = all_500_3_293
% 243.75/186.38 |
% 243.75/186.38 | Combining equations (2084,2080) yields a new equation:
% 243.75/186.38 | (2086) all_513_3_323 = all_486_4_231
% 243.75/186.38 |
% 243.75/186.38 | Combining equations (2067,2068) yields a new equation:
% 243.75/186.38 | (2087) all_520_3_339 = all_502_3_298
% 243.75/186.38 |
% 243.75/186.38 | Simplifying 2087 yields:
% 243.75/186.38 | (2088) all_520_3_339 = all_502_3_298
% 243.75/186.38 |
% 243.75/186.38 | Combining equations (1801,1900) yields a new equation:
% 243.75/186.38 | (2089) all_529_2_361 = all_504_3_303
% 243.75/186.38 |
% 243.75/186.38 | Simplifying 2089 yields:
% 243.75/186.38 | (2090) all_529_2_361 = all_504_3_303
% 243.75/186.38 |
% 243.75/186.38 | Combining equations (1914,1915) yields a new equation:
% 243.75/186.38 | (2091) all_535_3_376 = all_524_2_348
% 243.75/186.38 |
% 243.75/186.38 | Combining equations (1913,1915) yields a new equation:
% 243.75/186.38 | (2092) all_535_3_376 = all_486_2_229
% 243.75/186.38 |
% 243.75/186.38 | Combining equations (1805,1811) yields a new equation:
% 243.75/186.38 | (2093) all_520_3_339 = all_488_2_234
% 243.75/186.38 |
% 243.75/186.38 | Simplifying 2093 yields:
% 243.75/186.38 | (2094) all_520_3_339 = all_488_2_234
% 243.75/186.38 |
% 243.75/186.38 | Combining equations (2082,2081) yields a new equation:
% 243.75/186.38 | (2095) all_524_2_348 = all_520_2_338
% 243.75/186.38 |
% 243.75/186.38 | Simplifying 2095 yields:
% 243.75/186.38 | (2096) all_524_2_348 = all_520_2_338
% 243.75/186.38 |
% 243.75/186.38 | Combining equations (1803,1802) yields a new equation:
% 243.75/186.38 | (2097) all_524_3_349 = all_522_2_343
% 243.75/186.38 |
% 243.75/186.39 | Combining equations (1800,1802) yields a new equation:
% 243.75/186.39 | (2098) all_524_3_349 = 0
% 243.75/186.39 |
% 243.75/186.39 | Combining equations (2091,2092) yields a new equation:
% 243.75/186.39 | (2099) all_524_2_348 = all_486_2_229
% 243.75/186.39 |
% 243.75/186.39 | Simplifying 2099 yields:
% 243.75/186.39 | (2100) all_524_2_348 = all_486_2_229
% 243.75/186.39 |
% 243.75/186.39 | Combining equations (1806,2090) yields a new equation:
% 243.75/186.39 | (2101) all_518_2_335 = all_504_3_303
% 243.75/186.39 |
% 243.75/186.39 | Simplifying 2101 yields:
% 243.75/186.39 | (2102) all_518_2_335 = all_504_3_303
% 243.75/186.39 |
% 243.75/186.39 | Combining equations (1782,2096) yields a new equation:
% 243.75/186.39 | (2103) all_520_2_338 = 0
% 243.75/186.39 |
% 243.75/186.39 | Combining equations (2100,2096) yields a new equation:
% 243.75/186.39 | (2104) all_520_2_338 = all_486_2_229
% 243.75/186.39 |
% 243.75/186.39 | Combining equations (2097,2098) yields a new equation:
% 243.75/186.39 | (2105) all_522_2_343 = 0
% 243.75/186.39 |
% 243.75/186.39 | Simplifying 2105 yields:
% 243.75/186.39 | (2106) all_522_2_343 = 0
% 243.75/186.39 |
% 243.75/186.39 | Combining equations (1807,2106) yields a new equation:
% 243.75/186.39 | (2107) all_518_2_335 = 0
% 243.75/186.39 |
% 243.75/186.39 | Simplifying 2107 yields:
% 243.75/186.39 | (2108) all_518_2_335 = 0
% 243.75/186.39 |
% 243.75/186.39 | Combining equations (2103,2104) yields a new equation:
% 243.75/186.39 | (2109) all_486_2_229 = 0
% 243.75/186.39 |
% 243.75/186.39 | Combining equations (2094,2088) yields a new equation:
% 243.75/186.39 | (2110) all_502_3_298 = all_488_2_234
% 243.75/186.39 |
% 243.75/186.39 | Combining equations (1808,2088) yields a new equation:
% 243.75/186.39 | (2111) all_518_2_335 = all_502_3_298
% 243.75/186.39 |
% 243.75/186.39 | Simplifying 2111 yields:
% 243.75/186.39 | (2112) all_518_2_335 = all_502_3_298
% 243.75/186.39 |
% 243.75/186.39 | Combining equations (2108,2102) yields a new equation:
% 243.75/186.39 | (2113) all_504_3_303 = 0
% 243.75/186.39 |
% 243.75/186.39 | Combining equations (2112,2102) yields a new equation:
% 243.75/186.39 | (2114) all_504_3_303 = all_502_3_298
% 243.75/186.39 |
% 243.75/186.39 | Combining equations (1764,2036) yields a new equation:
% 243.75/186.39 | (2115) all_508_1_309 = all_490_4_239
% 243.75/186.39 |
% 243.75/186.39 | Simplifying 2115 yields:
% 243.75/186.39 | (2116) all_508_1_309 = all_490_4_239
% 243.75/186.39 |
% 243.75/186.39 | Combining equations (2012,2072) yields a new equation:
% 243.75/186.39 | (2117) all_508_2_310 = all_506_2_307
% 243.75/186.39 |
% 243.75/186.39 | Simplifying 2117 yields:
% 243.75/186.39 | (2118) all_508_2_310 = all_506_2_307
% 243.75/186.39 |
% 243.75/186.39 | Combining equations (2045,2046) yields a new equation:
% 243.75/186.39 | (2119) all_513_4_324 = 0
% 243.75/186.39 |
% 243.75/186.39 | Simplifying 2119 yields:
% 243.75/186.39 | (2120) all_513_4_324 = 0
% 243.75/186.39 |
% 243.75/186.39 | Combining equations (2085,2086) yields a new equation:
% 243.75/186.39 | (2121) all_500_3_293 = all_486_4_231
% 243.75/186.39 |
% 243.75/186.39 | Simplifying 2121 yields:
% 243.75/186.39 | (2122) all_500_3_293 = all_486_4_231
% 243.75/186.39 |
% 243.75/186.39 | Combining equations (1766,2116) yields a new equation:
% 243.75/186.39 | (2123) all_498_14_289 = all_490_4_239
% 243.75/186.39 |
% 243.75/186.39 | Simplifying 2123 yields:
% 243.75/186.39 | (2124) all_498_14_289 = all_490_4_239
% 243.75/186.39 |
% 243.75/186.39 | Combining equations (2013,2118) yields a new equation:
% 243.75/186.39 | (2125) all_506_2_307 = all_498_13_288
% 243.75/186.39 |
% 243.75/186.39 | Combining equations (2056,2118) yields a new equation:
% 243.75/186.39 | (2126) all_506_2_307 = all_494_14_259
% 243.75/186.39 |
% 243.75/186.39 | Combining equations (1767,2025) yields a new equation:
% 243.75/186.39 | (2127) all_494_13_258 = 0
% 243.75/186.39 |
% 243.75/186.39 | Simplifying 2127 yields:
% 243.75/186.39 | (2128) all_494_13_258 = 0
% 243.75/186.39 |
% 243.75/186.39 | Combining equations (2125,2126) yields a new equation:
% 243.75/186.39 | (2129) all_498_13_288 = all_494_14_259
% 243.75/186.39 |
% 243.75/186.39 | Simplifying 2129 yields:
% 243.75/186.39 | (2130) all_498_13_288 = all_494_14_259
% 243.75/186.39 |
% 243.75/186.39 | Combining equations (2114,2113) yields a new equation:
% 243.75/186.39 | (2131) all_502_3_298 = 0
% 243.75/186.39 |
% 243.75/186.39 | Simplifying 2131 yields:
% 244.13/186.39 | (2132) all_502_3_298 = 0
% 244.13/186.39 |
% 244.13/186.39 | Combining equations (2110,2132) yields a new equation:
% 244.13/186.39 | (2133) all_488_2_234 = 0
% 244.13/186.39 |
% 244.13/186.39 | Simplifying 2133 yields:
% 244.13/186.39 | (2134) all_488_2_234 = 0
% 244.13/186.39 |
% 244.13/186.39 | Combining equations (1994,2122) yields a new equation:
% 244.13/186.39 | (2135) all_496_14_274 = all_486_4_231
% 244.13/186.39 |
% 244.13/186.39 | Simplifying 2135 yields:
% 244.13/186.39 | (2136) all_496_14_274 = all_486_4_231
% 244.13/186.39 |
% 244.13/186.39 | Combining equations (1843,2130) yields a new equation:
% 244.13/186.39 | (2137) all_494_14_259 = all_490_3_238
% 244.13/186.39 |
% 244.13/186.39 | Combining equations (2023,2130) yields a new equation:
% 244.13/186.39 | (2138) all_494_14_259 = 0
% 244.13/186.39 |
% 244.13/186.39 | Combining equations (1768,2124) yields a new equation:
% 244.13/186.39 | (2139) all_494_13_258 = all_490_4_239
% 244.13/186.39 |
% 244.13/186.39 | Simplifying 2139 yields:
% 244.13/186.39 | (2140) all_494_13_258 = all_490_4_239
% 244.13/186.39 |
% 244.13/186.39 | Combining equations (1997,2136) yields a new equation:
% 244.13/186.39 | (2141) all_486_4_231 = all_484_14_226
% 244.13/186.39 |
% 244.13/186.39 | Combining equations (2074,2136) yields a new equation:
% 244.13/186.39 | (2142) all_492_4_244 = all_486_4_231
% 244.13/186.39 |
% 244.13/186.39 | Simplifying 2142 yields:
% 244.13/186.39 | (2143) all_492_4_244 = all_486_4_231
% 244.13/186.39 |
% 244.13/186.39 | Combining equations (2140,2128) yields a new equation:
% 244.13/186.39 | (2144) all_490_4_239 = 0
% 244.13/186.39 |
% 244.13/186.39 | Simplifying 2144 yields:
% 244.13/186.39 | (2145) all_490_4_239 = 0
% 244.13/186.39 |
% 244.13/186.39 | Combining equations (2138,2137) yields a new equation:
% 244.13/186.39 | (2146) all_490_3_238 = 0
% 244.13/186.39 |
% 244.13/186.39 | Combining equations (2143,2078) yields a new equation:
% 244.13/186.39 | (2147) all_486_4_231 = all_480_2_206
% 244.13/186.39 |
% 244.13/186.39 | Simplifying 2147 yields:
% 244.13/186.39 | (2148) all_486_4_231 = all_480_2_206
% 244.13/186.39 |
% 244.13/186.39 | Combining equations (2141,2148) yields a new equation:
% 244.13/186.39 | (2149) all_484_14_226 = all_480_2_206
% 244.13/186.39 |
% 244.13/186.39 | Simplifying 2149 yields:
% 244.13/186.39 | (2150) all_484_14_226 = all_480_2_206
% 244.13/186.39 |
% 244.13/186.39 | Combining equations (1984,2150) yields a new equation:
% 244.13/186.39 | (2151) all_482_4_211 = all_480_2_206
% 244.13/186.39 |
% 244.13/186.39 | Simplifying 2151 yields:
% 244.13/186.39 | (2152) all_482_4_211 = all_480_2_206
% 244.13/186.39 |
% 244.13/186.39 | Combining equations (1875,2152) yields a new equation:
% 244.13/186.39 | (2153) all_480_2_206 = 0
% 244.13/186.39 |
% 244.13/186.39 | Combining equations (2109,2104) yields a new equation:
% 244.13/186.39 | (2103) all_520_2_338 = 0
% 244.13/186.39 |
% 244.13/186.39 | Combining equations (2103,2081) yields a new equation:
% 244.13/186.39 | (2155) all_537_3_381 = 0
% 244.13/186.39 |
% 244.13/186.39 | Combining equations (2155,2008) yields a new equation:
% 244.13/186.39 | (2156) all_581_12_528 = 0
% 244.13/186.39 |
% 244.13/186.39 | Combining equations (2156,2002) yields a new equation:
% 244.13/186.39 | (2157) all_587_2_541 = 0
% 244.13/186.39 |
% 244.13/186.39 | Combining equations (2145,1934) yields a new equation:
% 244.13/186.39 | (2158) all_627_2_697 = 0
% 244.13/186.39 |
% 244.13/186.39 | Combining equations (2157,1917) yields a new equation:
% 244.13/186.39 | (2159) all_627_1_696 = 0
% 244.13/186.39 |
% 244.13/186.39 | Combining equations (1961,1751) yields a new equation:
% 244.13/186.39 | (2160) all_627_0_695 = all_585_1_537
% 244.13/186.39 |
% 244.13/186.39 | From (1918) and (1379) follows:
% 244.13/186.39 | (1212) doDivides0(all_107_0_173, xn) = all_513_1_321
% 244.13/186.39 |
% 244.13/186.39 | From (1740) and (1340) follows:
% 244.13/186.39 | (726) sdtasdt0(xm, xn) = all_0_12_12
% 244.13/186.39 |
% 244.13/186.39 | From (2120) and (1214) follows:
% 244.13/186.39 | (390) aNaturalNumber0(all_107_0_173) = 0
% 244.13/186.39 |
% 244.13/186.39 | From (1748) and (1225) follows:
% 244.13/186.39 | (805) aNaturalNumber0(all_44_2_80) = 0
% 244.13/186.39 |
% 244.13/186.39 | From (1967) and (1507) follows:
% 244.13/186.40 | (1433) aNaturalNumber0(all_14_1_25) = all_585_1_537
% 244.13/186.40 |
% 244.13/186.40 | From (2015) and (1326) follows:
% 244.13/186.40 | (36) aNaturalNumber0(xk) = 0
% 244.13/186.40 |
% 244.13/186.40 | From (2134) and (1129) follows:
% 244.13/186.40 | (106) aNaturalNumber0(xp) = 0
% 244.13/186.40 |
% 244.13/186.40 | From (2146) and (1135) follows:
% 244.13/186.40 | (29) aNaturalNumber0(xm) = 0
% 244.13/186.40 |
% 244.13/186.40 | From (2153) and (1099) follows:
% 244.13/186.40 | (54) aNaturalNumber0(xn) = 0
% 244.13/186.40 |
% 244.13/186.40 +-Applying beta-rule and splitting (1005), into two cases.
% 244.13/186.40 |-Branch one:
% 244.13/186.40 | (2170) all_107_0_173 = xp
% 244.13/186.40 |
% 244.13/186.40 | Equations (2170) can reduce 392 to:
% 244.13/186.40 | (40) ~ (xp = sz00)
% 244.13/186.40 |
% 244.13/186.40 | From (2170) and (1212) follows:
% 244.13/186.40 | (2172) doDivides0(xp, xn) = all_513_1_321
% 244.13/186.40 |
% 244.13/186.40 | From (2170) and (390) follows:
% 244.13/186.40 | (106) aNaturalNumber0(xp) = 0
% 244.13/186.40 |
% 244.13/186.40 +-Applying beta-rule and splitting (1739), into two cases.
% 244.13/186.40 |-Branch one:
% 244.13/186.40 | (2174) ~ (doDivides0(xp, xn) = all_513_1_321)
% 244.13/186.40 |
% 244.13/186.40 | Using (2172) and (2174) yields:
% 244.13/186.40 | (728) $false
% 244.13/186.40 |
% 244.13/186.40 |-The branch is then unsatisfiable
% 244.13/186.40 |-Branch two:
% 244.13/186.40 | (2172) doDivides0(xp, xn) = all_513_1_321
% 244.13/186.40 | (2177) all_555_6_457 = all_513_1_321
% 244.13/186.40 |
% 244.13/186.40 | Combining equations (2177,1738) yields a new equation:
% 244.13/186.40 | (2178) all_513_1_321 = all_55_7_120
% 244.13/186.40 |
% 244.13/186.40 | Simplifying 2178 yields:
% 244.13/186.40 | (2179) all_513_1_321 = all_55_7_120
% 244.13/186.40 |
% 244.13/186.40 | From (2179) and (2172) follows:
% 244.13/186.40 | (294) doDivides0(xp, xn) = all_55_7_120
% 244.13/186.40 |
% 244.13/186.40 +-Applying beta-rule and splitting (1601), into two cases.
% 244.13/186.40 |-Branch one:
% 244.13/186.40 | (2181) ~ (all_627_1_696 = 0)
% 244.13/186.40 |
% 244.13/186.40 | Equations (2159) can reduce 2181 to:
% 244.13/186.40 | (339) $false
% 244.13/186.40 |
% 244.13/186.40 |-The branch is then unsatisfiable
% 244.13/186.40 |-Branch two:
% 244.13/186.40 | (2159) all_627_1_696 = 0
% 244.13/186.40 | (2184) ~ (all_627_2_697 = 0) | all_627_0_695 = 0
% 244.13/186.40 |
% 244.13/186.40 +-Applying beta-rule and splitting (2184), into two cases.
% 244.13/186.40 |-Branch one:
% 244.13/186.40 | (2185) ~ (all_627_2_697 = 0)
% 244.13/186.40 |
% 244.13/186.40 | Equations (2158) can reduce 2185 to:
% 244.13/186.40 | (339) $false
% 244.13/186.40 |
% 244.13/186.40 |-The branch is then unsatisfiable
% 244.13/186.40 |-Branch two:
% 244.13/186.40 | (2158) all_627_2_697 = 0
% 244.13/186.40 | (2188) all_627_0_695 = 0
% 244.13/186.40 |
% 244.13/186.40 | Combining equations (2188,2160) yields a new equation:
% 244.13/186.40 | (2189) all_585_1_537 = 0
% 244.13/186.40 |
% 244.13/186.40 | From (2189) and (1433) follows:
% 244.13/186.40 | (2190) aNaturalNumber0(all_14_1_25) = 0
% 244.13/186.40 |
% 244.13/186.40 +-Applying beta-rule and splitting (1020), into two cases.
% 244.13/186.40 |-Branch one:
% 244.13/186.40 | (371) xp = sz00
% 244.13/186.40 |
% 244.13/186.40 | Equations (371) can reduce 40 to:
% 244.13/186.40 | (339) $false
% 244.13/186.40 |
% 244.13/186.40 |-The branch is then unsatisfiable
% 244.13/186.40 |-Branch two:
% 244.13/186.40 | (40) ~ (xp = sz00)
% 244.13/186.40 | (2194) all_44_2_80 = xk | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (sdtasdt0(all_44_2_80, xp) = v3 & sdtasdt0(xk, xp) = v2 & aNaturalNumber0(all_44_2_80) = v1 & aNaturalNumber0(xk) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 244.13/186.40 |
% 244.13/186.40 +-Applying beta-rule and splitting (1069), into two cases.
% 244.13/186.40 |-Branch one:
% 244.13/186.40 | (2195) all_396_3_188 = 0
% 244.13/186.40 |
% 244.13/186.40 +-Applying beta-rule and splitting (879), into two cases.
% 244.13/186.40 |-Branch one:
% 244.13/186.40 | (2196) ~ (all_396_3_188 = 0)
% 244.13/186.40 |
% 244.13/186.40 | Equations (2195) can reduce 2196 to:
% 244.13/186.40 | (339) $false
% 244.13/186.40 |
% 244.13/186.40 |-The branch is then unsatisfiable
% 244.13/186.40 |-Branch two:
% 244.13/186.40 | (2195) all_396_3_188 = 0
% 244.13/186.40 | (2199) ~ (all_396_4_189 = 0) | ~ (all_396_5_190 = 0) | ~ (all_396_6_191 = 0) | (all_396_0_185 = 0 & all_0_7_7 = 0 & ~ (all_396_1_186 = all_396_2_187) & ~ (all_0_9_9 = all_0_12_12))
% 244.13/186.40 |
% 244.13/186.40 +-Applying beta-rule and splitting (2199), into two cases.
% 244.13/186.40 |-Branch one:
% 244.13/186.40 | (2200) ~ (all_396_4_189 = 0)
% 244.13/186.40 |
% 244.13/186.40 | Equations (922) can reduce 2200 to:
% 244.13/186.40 | (339) $false
% 244.13/186.40 |
% 244.13/186.40 |-The branch is then unsatisfiable
% 244.13/186.40 |-Branch two:
% 244.13/186.40 | (922) all_396_4_189 = 0
% 244.13/186.40 | (2203) ~ (all_396_5_190 = 0) | ~ (all_396_6_191 = 0) | (all_396_0_185 = 0 & all_0_7_7 = 0 & ~ (all_396_1_186 = all_396_2_187) & ~ (all_0_9_9 = all_0_12_12))
% 244.13/186.40 |
% 244.13/186.40 +-Applying beta-rule and splitting (2203), into two cases.
% 244.13/186.40 |-Branch one:
% 244.13/186.40 | (2204) ~ (all_396_5_190 = 0)
% 244.13/186.40 |
% 244.13/186.40 | Equations (914) can reduce 2204 to:
% 244.13/186.40 | (339) $false
% 244.13/186.40 |
% 244.13/186.40 |-The branch is then unsatisfiable
% 244.13/186.40 |-Branch two:
% 244.13/186.40 | (914) all_396_5_190 = 0
% 244.13/186.40 | (2207) ~ (all_396_6_191 = 0) | (all_396_0_185 = 0 & all_0_7_7 = 0 & ~ (all_396_1_186 = all_396_2_187) & ~ (all_0_9_9 = all_0_12_12))
% 244.13/186.40 |
% 244.13/186.40 +-Applying beta-rule and splitting (2207), into two cases.
% 244.13/186.40 |-Branch one:
% 244.13/186.40 | (2208) ~ (all_396_6_191 = 0)
% 244.13/186.40 |
% 244.13/186.40 | Equations (925) can reduce 2208 to:
% 244.13/186.40 | (339) $false
% 244.13/186.40 |
% 244.13/186.40 |-The branch is then unsatisfiable
% 244.13/186.40 |-Branch two:
% 244.13/186.40 | (925) all_396_6_191 = 0
% 244.13/186.40 | (2211) all_396_0_185 = 0 & all_0_7_7 = 0 & ~ (all_396_1_186 = all_396_2_187) & ~ (all_0_9_9 = all_0_12_12)
% 244.13/186.40 |
% 244.13/186.40 | Applying alpha-rule on (2211) yields:
% 244.13/186.40 | (2212) all_396_0_185 = 0
% 244.13/186.40 | (2213) all_0_7_7 = 0
% 244.13/186.40 | (2214) ~ (all_396_1_186 = all_396_2_187)
% 244.13/186.40 | (2215) ~ (all_0_9_9 = all_0_12_12)
% 244.13/186.40 |
% 244.13/186.40 | Combining equations (980,2212) yields a new equation:
% 244.13/186.40 | (2216) all_0_7_7 = 0
% 244.13/186.40 |
% 244.13/186.40 | Simplifying 2216 yields:
% 244.13/186.40 | (2213) all_0_7_7 = 0
% 244.13/186.40 |
% 244.13/186.40 | Equations (900,919) can reduce 2214 to:
% 244.13/186.40 | (2218) ~ (all_0_9_9 = all_0_12_12)
% 244.13/186.40 |
% 244.13/186.40 | Simplifying 2218 yields:
% 244.13/186.40 | (2215) ~ (all_0_9_9 = all_0_12_12)
% 244.13/186.40 |
% 244.13/186.40 +-Applying beta-rule and splitting (77), into two cases.
% 244.13/186.40 |-Branch one:
% 244.13/186.40 | (2220) all_0_9_9 = all_0_12_12
% 244.13/186.40 |
% 244.13/186.40 | Equations (2220) can reduce 2215 to:
% 244.13/186.40 | (339) $false
% 244.13/186.40 |
% 244.13/186.40 |-The branch is then unsatisfiable
% 244.13/186.40 |-Branch two:
% 244.13/186.40 | (2215) ~ (all_0_9_9 = all_0_12_12)
% 244.13/186.40 | (2223) ( ~ (all_0_7_7 = 0) & ! [v0] : ( ~ (sdtpldt0(all_0_9_9, v0) = all_0_12_12) | ? [v1] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1))) | ( ~ (all_0_8_8 = 0) & ! [v0] : ( ~ (sdtpldt0(all_0_12_12, v0) = all_0_9_9) | ? [v1] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1)))
% 244.13/186.40 |
% 244.13/186.40 +-Applying beta-rule and splitting (2223), into two cases.
% 244.13/186.40 |-Branch one:
% 244.13/186.40 | (2224) ~ (all_0_7_7 = 0) & ! [v0] : ( ~ (sdtpldt0(all_0_9_9, v0) = all_0_12_12) | ? [v1] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1))
% 244.13/186.40 |
% 244.13/186.40 | Applying alpha-rule on (2224) yields:
% 244.13/186.40 | (2225) ~ (all_0_7_7 = 0)
% 244.13/186.40 | (2226) ! [v0] : ( ~ (sdtpldt0(all_0_9_9, v0) = all_0_12_12) | ? [v1] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1))
% 244.13/186.40 |
% 244.13/186.40 | Equations (2213) can reduce 2225 to:
% 244.13/186.40 | (339) $false
% 244.13/186.40 |
% 244.13/186.40 |-The branch is then unsatisfiable
% 244.13/186.40 |-Branch two:
% 244.13/186.40 | (2228) ~ (all_0_8_8 = 0) & ! [v0] : ( ~ (sdtpldt0(all_0_12_12, v0) = all_0_9_9) | ? [v1] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1))
% 244.13/186.40 |
% 244.13/186.40 | Applying alpha-rule on (2228) yields:
% 244.13/186.40 | (2229) ~ (all_0_8_8 = 0)
% 244.13/186.40 | (2230) ! [v0] : ( ~ (sdtpldt0(all_0_12_12, v0) = all_0_9_9) | ? [v1] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1))
% 244.13/186.40 |
% 244.13/186.40 +-Applying beta-rule and splitting (1010), into two cases.
% 244.13/186.40 |-Branch one:
% 244.13/186.40 | (2231) ~ (doDivides0(xp, xn) = 0)
% 244.13/186.40 |
% 244.13/186.40 +-Applying beta-rule and splitting (1025), into two cases.
% 244.13/186.40 |-Branch one:
% 244.13/186.40 | (2232) ~ (sdtasdt0(sz00, xn) = all_0_12_12)
% 244.13/186.40 |
% 244.13/186.40 +-Applying beta-rule and splitting (1079), into two cases.
% 244.13/186.40 |-Branch one:
% 244.13/186.40 | (2233) xp = xn
% 244.13/186.40 |
% 244.13/186.40 | Equations (2233) can reduce 101 to:
% 244.13/186.40 | (339) $false
% 244.13/186.40 |
% 244.13/186.40 |-The branch is then unsatisfiable
% 244.13/186.40 |-Branch two:
% 244.13/186.40 | (101) ~ (xp = xn)
% 244.13/186.40 | (2236) ? [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_49_1_100 = all_0_14_14))))
% 244.13/186.40 |
% 244.13/186.40 | Instantiating (2236) with all_1251_0_815, all_1251_1_816, all_1251_2_817, all_1251_3_818, all_1251_4_819 yields:
% 244.13/186.40 | (2237) sdtpldt0(xp, xm) = all_1251_1_816 & sdtpldt0(xn, xm) = all_1251_0_815 & aNaturalNumber0(xp) = all_1251_3_818 & aNaturalNumber0(xm) = all_1251_4_819 & aNaturalNumber0(xn) = all_1251_2_817 & ( ~ (all_1251_2_817 = 0) | ~ (all_1251_3_818 = 0) | ~ (all_1251_4_819 = 0) | ( ~ (all_1251_0_815 = all_1251_1_816) & ~ (all_49_1_100 = all_0_14_14)))
% 244.13/186.41 |
% 244.13/186.41 | Applying alpha-rule on (2237) yields:
% 244.13/186.41 | (2238) sdtpldt0(xn, xm) = all_1251_0_815
% 244.13/186.41 | (2239) sdtpldt0(xp, xm) = all_1251_1_816
% 244.13/186.41 | (2240) ~ (all_1251_2_817 = 0) | ~ (all_1251_3_818 = 0) | ~ (all_1251_4_819 = 0) | ( ~ (all_1251_0_815 = all_1251_1_816) & ~ (all_49_1_100 = all_0_14_14))
% 244.13/186.41 | (2241) aNaturalNumber0(xp) = all_1251_3_818
% 244.13/186.41 | (2242) aNaturalNumber0(xm) = all_1251_4_819
% 244.13/186.41 | (2243) aNaturalNumber0(xn) = all_1251_2_817
% 244.13/186.41 |
% 244.13/186.41 | Instantiating formula (31) with xp, all_1251_3_818, 0 and discharging atoms aNaturalNumber0(xp) = all_1251_3_818, aNaturalNumber0(xp) = 0, yields:
% 244.13/186.41 | (2244) all_1251_3_818 = 0
% 244.13/186.41 |
% 244.13/186.41 | Instantiating formula (31) with xm, all_1251_4_819, 0 and discharging atoms aNaturalNumber0(xm) = all_1251_4_819, aNaturalNumber0(xm) = 0, yields:
% 244.13/186.41 | (2245) all_1251_4_819 = 0
% 244.13/186.41 |
% 244.13/186.41 | Instantiating formula (31) with xn, all_1251_2_817, 0 and discharging atoms aNaturalNumber0(xn) = all_1251_2_817, aNaturalNumber0(xn) = 0, yields:
% 244.13/186.41 | (2246) all_1251_2_817 = 0
% 244.13/186.41 |
% 244.13/186.41 | Using (294) and (2231) yields:
% 244.13/186.41 | (2247) ~ (all_55_7_120 = 0)
% 244.13/186.41 |
% 244.13/186.41 | Using (726) and (2232) yields:
% 244.13/186.41 | (2248) ~ (xm = sz00)
% 244.13/186.41 |
% 244.13/186.41 | From (2244) and (2241) follows:
% 244.13/186.41 | (106) aNaturalNumber0(xp) = 0
% 244.13/186.41 |
% 244.13/186.41 | From (2245) and (2242) follows:
% 244.13/186.41 | (29) aNaturalNumber0(xm) = 0
% 244.13/186.41 |
% 244.13/186.41 | From (2246) and (2243) follows:
% 244.13/186.41 | (54) aNaturalNumber0(xn) = 0
% 244.20/186.41 |
% 244.20/186.41 +-Applying beta-rule and splitting (1024), into two cases.
% 244.20/186.41 |-Branch one:
% 244.20/186.41 | (2252) xm = sz00
% 244.20/186.41 |
% 244.20/186.41 | Equations (2252) can reduce 2248 to:
% 244.20/186.41 | (339) $false
% 244.20/186.41 |
% 244.20/186.41 |-The branch is then unsatisfiable
% 244.20/186.41 |-Branch two:
% 244.20/186.41 | (2248) ~ (xm = sz00)
% 244.20/186.41 | (2255) xp = xn | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (sdtlseqdt0(v4, v5) = v6 & sdtlseqdt0(xn, xp) = v3 & sdtasdt0(xp, xm) = v5 & sdtasdt0(xn, xm) = v4 & aNaturalNumber0(xp) = v2 & aNaturalNumber0(xm) = v0 & aNaturalNumber0(xn) = v1 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v6 = 0 & all_0_8_8 = 0 & ~ (v5 = v4) & ~ (all_0_9_9 = all_0_12_12))))
% 244.20/186.41 |
% 244.20/186.41 +-Applying beta-rule and splitting (2255), into two cases.
% 244.20/186.41 |-Branch one:
% 244.20/186.41 | (2233) xp = xn
% 244.20/186.41 |
% 244.20/186.41 | Equations (2233) can reduce 101 to:
% 244.20/186.41 | (339) $false
% 244.20/186.41 |
% 244.20/186.41 |-The branch is then unsatisfiable
% 244.20/186.41 |-Branch two:
% 244.20/186.41 | (101) ~ (xp = xn)
% 244.20/186.41 | (2259) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (sdtlseqdt0(v4, v5) = v6 & sdtlseqdt0(xn, xp) = v3 & sdtasdt0(xp, xm) = v5 & sdtasdt0(xn, xm) = v4 & aNaturalNumber0(xp) = v2 & aNaturalNumber0(xm) = v0 & aNaturalNumber0(xn) = v1 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v6 = 0 & all_0_8_8 = 0 & ~ (v5 = v4) & ~ (all_0_9_9 = all_0_12_12))))
% 244.20/186.41 |
% 244.20/186.41 | Instantiating (2259) with all_1543_0_826, all_1543_1_827, all_1543_2_828, all_1543_3_829, all_1543_4_830, all_1543_5_831, all_1543_6_832 yields:
% 244.20/186.41 | (2260) sdtlseqdt0(all_1543_2_828, all_1543_1_827) = all_1543_0_826 & sdtlseqdt0(xn, xp) = all_1543_3_829 & sdtasdt0(xp, xm) = all_1543_1_827 & sdtasdt0(xn, xm) = all_1543_2_828 & aNaturalNumber0(xp) = all_1543_4_830 & aNaturalNumber0(xm) = all_1543_6_832 & aNaturalNumber0(xn) = all_1543_5_831 & ( ~ (all_1543_3_829 = 0) | ~ (all_1543_4_830 = 0) | ~ (all_1543_5_831 = 0) | ~ (all_1543_6_832 = 0) | (all_1543_0_826 = 0 & all_0_8_8 = 0 & ~ (all_1543_1_827 = all_1543_2_828) & ~ (all_0_9_9 = all_0_12_12)))
% 244.20/186.41 |
% 244.20/186.41 | Applying alpha-rule on (2260) yields:
% 244.20/186.41 | (2261) sdtlseqdt0(all_1543_2_828, all_1543_1_827) = all_1543_0_826
% 244.20/186.41 | (2262) sdtasdt0(xn, xm) = all_1543_2_828
% 244.20/186.41 | (2263) aNaturalNumber0(xm) = all_1543_6_832
% 244.20/186.41 | (2264) sdtasdt0(xp, xm) = all_1543_1_827
% 244.20/186.41 | (2265) aNaturalNumber0(xn) = all_1543_5_831
% 244.20/186.41 | (2266) ~ (all_1543_3_829 = 0) | ~ (all_1543_4_830 = 0) | ~ (all_1543_5_831 = 0) | ~ (all_1543_6_832 = 0) | (all_1543_0_826 = 0 & all_0_8_8 = 0 & ~ (all_1543_1_827 = all_1543_2_828) & ~ (all_0_9_9 = all_0_12_12))
% 244.20/186.41 | (2267) sdtlseqdt0(xn, xp) = all_1543_3_829
% 244.20/186.41 | (2268) aNaturalNumber0(xp) = all_1543_4_830
% 244.20/186.41 |
% 244.20/186.41 +-Applying beta-rule and splitting (1009), into two cases.
% 244.20/186.41 |-Branch one:
% 244.20/186.41 | (2269) all_55_7_120 = 0
% 244.20/186.41 |
% 244.20/186.41 | Equations (2269) can reduce 2247 to:
% 244.20/186.41 | (339) $false
% 244.20/186.41 |
% 244.20/186.41 |-The branch is then unsatisfiable
% 244.20/186.41 |-Branch two:
% 244.20/186.41 | (2247) ~ (all_55_7_120 = 0)
% 244.20/186.41 | (2272) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (doDivides0(all_0_12_12, xn) = v3 & aNaturalNumber0(all_0_12_12) = v1 & aNaturalNumber0(xp) = v0 & aNaturalNumber0(xn) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 244.20/186.41 |
% 244.20/186.41 | Instantiating (2272) with all_1596_0_833, all_1596_1_834, all_1596_2_835, all_1596_3_836 yields:
% 244.20/186.41 | (2273) doDivides0(all_0_12_12, xn) = all_1596_0_833 & aNaturalNumber0(all_0_12_12) = all_1596_2_835 & aNaturalNumber0(xp) = all_1596_3_836 & aNaturalNumber0(xn) = all_1596_1_834 & ( ~ (all_1596_0_833 = 0) | ~ (all_1596_1_834 = 0) | ~ (all_1596_2_835 = 0) | ~ (all_1596_3_836 = 0))
% 244.20/186.41 |
% 244.20/186.41 | Applying alpha-rule on (2273) yields:
% 244.20/186.41 | (2274) aNaturalNumber0(xn) = all_1596_1_834
% 244.20/186.41 | (2275) ~ (all_1596_0_833 = 0) | ~ (all_1596_1_834 = 0) | ~ (all_1596_2_835 = 0) | ~ (all_1596_3_836 = 0)
% 244.20/186.41 | (2276) aNaturalNumber0(xp) = all_1596_3_836
% 244.20/186.41 | (2277) aNaturalNumber0(all_0_12_12) = all_1596_2_835
% 244.20/186.41 | (2278) doDivides0(all_0_12_12, xn) = all_1596_0_833
% 244.20/186.41 |
% 244.20/186.41 | Instantiating formula (16) with xn, xp, all_1543_3_829, 0 and discharging atoms sdtlseqdt0(xn, xp) = all_1543_3_829, sdtlseqdt0(xn, xp) = 0, yields:
% 244.20/186.41 | (2279) all_1543_3_829 = 0
% 244.20/186.41 |
% 244.20/186.41 | Instantiating formula (31) with xp, all_1596_3_836, 0 and discharging atoms aNaturalNumber0(xp) = all_1596_3_836, aNaturalNumber0(xp) = 0, yields:
% 244.20/186.41 | (2280) all_1596_3_836 = 0
% 244.20/186.41 |
% 244.20/186.41 | Instantiating formula (31) with xp, all_1543_4_830, all_1596_3_836 and discharging atoms aNaturalNumber0(xp) = all_1596_3_836, aNaturalNumber0(xp) = all_1543_4_830, yields:
% 244.20/186.41 | (2281) all_1596_3_836 = all_1543_4_830
% 244.20/186.41 |
% 244.20/186.41 | Instantiating formula (31) with xm, all_1543_6_832, 0 and discharging atoms aNaturalNumber0(xm) = all_1543_6_832, aNaturalNumber0(xm) = 0, yields:
% 244.20/186.41 | (2282) all_1543_6_832 = 0
% 244.20/186.41 |
% 244.20/186.41 | Instantiating formula (31) with xn, all_1596_1_834, 0 and discharging atoms aNaturalNumber0(xn) = all_1596_1_834, aNaturalNumber0(xn) = 0, yields:
% 244.20/186.41 | (2283) all_1596_1_834 = 0
% 244.20/186.41 |
% 244.20/186.41 | Instantiating formula (31) with xn, all_1543_5_831, all_1596_1_834 and discharging atoms aNaturalNumber0(xn) = all_1596_1_834, aNaturalNumber0(xn) = all_1543_5_831, yields:
% 244.20/186.41 | (2284) all_1596_1_834 = all_1543_5_831
% 244.20/186.41 |
% 244.20/186.41 | Combining equations (2283,2284) yields a new equation:
% 244.20/186.41 | (2285) all_1543_5_831 = 0
% 244.20/186.41 |
% 244.20/186.41 | Combining equations (2280,2281) yields a new equation:
% 244.20/186.41 | (2286) all_1543_4_830 = 0
% 244.20/186.41 |
% 244.20/186.41 +-Applying beta-rule and splitting (2266), into two cases.
% 244.20/186.41 |-Branch one:
% 244.20/186.41 | (2287) ~ (all_1543_3_829 = 0)
% 244.20/186.41 |
% 244.20/186.41 | Equations (2279) can reduce 2287 to:
% 244.20/186.41 | (339) $false
% 244.20/186.41 |
% 244.20/186.41 |-The branch is then unsatisfiable
% 244.20/186.41 |-Branch two:
% 244.23/186.41 | (2279) all_1543_3_829 = 0
% 244.23/186.41 | (2290) ~ (all_1543_4_830 = 0) | ~ (all_1543_5_831 = 0) | ~ (all_1543_6_832 = 0) | (all_1543_0_826 = 0 & all_0_8_8 = 0 & ~ (all_1543_1_827 = all_1543_2_828) & ~ (all_0_9_9 = all_0_12_12))
% 244.23/186.41 |
% 244.23/186.41 +-Applying beta-rule and splitting (2290), into two cases.
% 244.23/186.41 |-Branch one:
% 244.23/186.41 | (2291) ~ (all_1543_4_830 = 0)
% 244.23/186.41 |
% 244.23/186.41 | Equations (2286) can reduce 2291 to:
% 244.23/186.41 | (339) $false
% 244.23/186.41 |
% 244.23/186.41 |-The branch is then unsatisfiable
% 244.23/186.41 |-Branch two:
% 244.23/186.42 | (2286) all_1543_4_830 = 0
% 244.23/186.42 | (2294) ~ (all_1543_5_831 = 0) | ~ (all_1543_6_832 = 0) | (all_1543_0_826 = 0 & all_0_8_8 = 0 & ~ (all_1543_1_827 = all_1543_2_828) & ~ (all_0_9_9 = all_0_12_12))
% 244.23/186.42 |
% 244.23/186.42 +-Applying beta-rule and splitting (2294), into two cases.
% 244.23/186.42 |-Branch one:
% 244.23/186.42 | (2295) ~ (all_1543_5_831 = 0)
% 244.23/186.42 |
% 244.23/186.42 | Equations (2285) can reduce 2295 to:
% 244.23/186.42 | (339) $false
% 244.23/186.42 |
% 244.23/186.42 |-The branch is then unsatisfiable
% 244.23/186.42 |-Branch two:
% 244.23/186.42 | (2285) all_1543_5_831 = 0
% 244.23/186.42 | (2298) ~ (all_1543_6_832 = 0) | (all_1543_0_826 = 0 & all_0_8_8 = 0 & ~ (all_1543_1_827 = all_1543_2_828) & ~ (all_0_9_9 = all_0_12_12))
% 244.23/186.42 |
% 244.23/186.42 +-Applying beta-rule and splitting (2298), into two cases.
% 244.23/186.42 |-Branch one:
% 244.23/186.42 | (2299) ~ (all_1543_6_832 = 0)
% 244.23/186.42 |
% 244.23/186.42 | Equations (2282) can reduce 2299 to:
% 244.23/186.42 | (339) $false
% 244.23/186.42 |
% 244.23/186.42 |-The branch is then unsatisfiable
% 244.23/186.42 |-Branch two:
% 244.23/186.42 | (2282) all_1543_6_832 = 0
% 244.23/186.42 | (2302) all_1543_0_826 = 0 & all_0_8_8 = 0 & ~ (all_1543_1_827 = all_1543_2_828) & ~ (all_0_9_9 = all_0_12_12)
% 244.23/186.42 |
% 244.23/186.42 | Applying alpha-rule on (2302) yields:
% 244.23/186.42 | (2303) all_1543_0_826 = 0
% 244.23/186.42 | (2304) all_0_8_8 = 0
% 244.23/186.42 | (2305) ~ (all_1543_1_827 = all_1543_2_828)
% 244.23/186.42 | (2215) ~ (all_0_9_9 = all_0_12_12)
% 244.23/186.42 |
% 244.23/186.42 | Equations (2304) can reduce 2229 to:
% 244.23/186.42 | (339) $false
% 244.23/186.42 |
% 244.23/186.42 |-The branch is then unsatisfiable
% 244.23/186.42 |-Branch two:
% 244.23/186.42 | (2308) sdtasdt0(sz00, xn) = all_0_12_12
% 244.23/186.42 | (2309) ? [v0] : ? [v1] : (sdtasdt0(xn, sz00) = v1 & aNaturalNumber0(xn) = v0 & ( ~ (v0 = 0) | (v1 = sz00 & all_0_12_12 = sz00)))
% 244.23/186.42 |
% 244.23/186.42 | Instantiating (2309) with all_1167_0_837, all_1167_1_838 yields:
% 244.23/186.42 | (2310) sdtasdt0(xn, sz00) = all_1167_0_837 & aNaturalNumber0(xn) = all_1167_1_838 & ( ~ (all_1167_1_838 = 0) | (all_1167_0_837 = sz00 & all_0_12_12 = sz00))
% 244.23/186.42 |
% 244.23/186.42 | Applying alpha-rule on (2310) yields:
% 244.23/186.42 | (2311) sdtasdt0(xn, sz00) = all_1167_0_837
% 244.23/186.42 | (2312) aNaturalNumber0(xn) = all_1167_1_838
% 244.23/186.42 | (2313) ~ (all_1167_1_838 = 0) | (all_1167_0_837 = sz00 & all_0_12_12 = sz00)
% 244.23/186.42 |
% 244.23/186.42 +-Applying beta-rule and splitting (2313), into two cases.
% 244.23/186.42 |-Branch one:
% 244.23/186.42 | (2314) ~ (all_1167_1_838 = 0)
% 244.23/186.42 |
% 244.23/186.42 | Instantiating formula (31) with xn, all_1167_1_838, 0 and discharging atoms aNaturalNumber0(xn) = all_1167_1_838, aNaturalNumber0(xn) = 0, yields:
% 244.23/186.42 | (2315) all_1167_1_838 = 0
% 244.23/186.42 |
% 244.23/186.42 | Equations (2315) can reduce 2314 to:
% 244.23/186.42 | (339) $false
% 244.23/186.42 |
% 244.23/186.42 |-The branch is then unsatisfiable
% 244.23/186.42 |-Branch two:
% 244.23/186.42 | (2315) all_1167_1_838 = 0
% 244.23/186.42 | (2318) all_1167_0_837 = sz00 & all_0_12_12 = sz00
% 244.23/186.42 |
% 244.23/186.42 | Applying alpha-rule on (2318) yields:
% 244.23/186.42 | (2319) all_1167_0_837 = sz00
% 244.23/186.42 | (841) all_0_12_12 = sz00
% 244.23/186.42 |
% 244.23/186.42 | Equations (841) can reduce 821 to:
% 244.23/186.42 | (339) $false
% 244.23/186.42 |
% 244.23/186.42 |-The branch is then unsatisfiable
% 244.23/186.42 |-Branch two:
% 244.23/186.42 | (2322) doDivides0(xp, xn) = 0
% 244.23/186.42 | (2323) xn = sz00 | ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(xp, xn) = v2 & aNaturalNumber0(xp) = v0 & aNaturalNumber0(xn) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 244.23/186.42 |
% 244.23/186.42 +-Applying beta-rule and splitting (2323), into two cases.
% 244.23/186.42 |-Branch one:
% 244.23/186.42 | (988) xn = sz00
% 244.23/186.42 |
% 244.23/186.42 | Equations (988) can reduce 979 to:
% 244.23/186.42 | (339) $false
% 244.23/186.42 |
% 244.23/186.42 |-The branch is then unsatisfiable
% 244.23/186.42 |-Branch two:
% 244.23/186.42 | (979) ~ (xn = sz00)
% 244.23/186.42 | (2327) ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(xp, xn) = v2 & aNaturalNumber0(xp) = v0 & aNaturalNumber0(xn) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 244.23/186.42 |
% 244.23/186.42 | Instantiating (2327) with all_1039_0_845, all_1039_1_846, all_1039_2_847 yields:
% 244.23/186.42 | (2328) sdtlseqdt0(xp, xn) = all_1039_0_845 & aNaturalNumber0(xp) = all_1039_2_847 & aNaturalNumber0(xn) = all_1039_1_846 & ( ~ (all_1039_1_846 = 0) | ~ (all_1039_2_847 = 0) | all_1039_0_845 = 0)
% 244.23/186.42 |
% 244.23/186.42 | Applying alpha-rule on (2328) yields:
% 244.23/186.42 | (2329) sdtlseqdt0(xp, xn) = all_1039_0_845
% 244.23/186.42 | (2330) aNaturalNumber0(xp) = all_1039_2_847
% 244.23/186.42 | (2331) aNaturalNumber0(xn) = all_1039_1_846
% 244.23/186.42 | (2332) ~ (all_1039_1_846 = 0) | ~ (all_1039_2_847 = 0) | all_1039_0_845 = 0
% 244.23/186.42 |
% 244.23/186.42 | Instantiating formula (16) with xp, xn, all_1039_0_845, all_0_11_11 and discharging atoms sdtlseqdt0(xp, xn) = all_1039_0_845, sdtlseqdt0(xp, xn) = all_0_11_11, yields:
% 244.23/186.42 | (2333) all_1039_0_845 = all_0_11_11
% 244.23/186.42 |
% 244.23/186.42 | Instantiating formula (31) with xp, all_1039_2_847, 0 and discharging atoms aNaturalNumber0(xp) = all_1039_2_847, aNaturalNumber0(xp) = 0, yields:
% 244.23/186.42 | (2334) all_1039_2_847 = 0
% 244.23/186.42 |
% 244.23/186.42 | Instantiating formula (31) with xn, all_1039_1_846, 0 and discharging atoms aNaturalNumber0(xn) = all_1039_1_846, aNaturalNumber0(xn) = 0, yields:
% 244.23/186.42 | (2335) all_1039_1_846 = 0
% 244.23/186.42 |
% 244.23/186.42 +-Applying beta-rule and splitting (2332), into two cases.
% 244.23/186.42 |-Branch one:
% 244.23/186.42 | (2336) ~ (all_1039_1_846 = 0)
% 244.23/186.42 |
% 244.23/186.42 | Equations (2335) can reduce 2336 to:
% 244.23/186.42 | (339) $false
% 244.23/186.42 |
% 244.23/186.42 |-The branch is then unsatisfiable
% 244.23/186.42 |-Branch two:
% 244.23/186.42 | (2335) all_1039_1_846 = 0
% 244.23/186.42 | (2339) ~ (all_1039_2_847 = 0) | all_1039_0_845 = 0
% 244.23/186.42 |
% 244.23/186.42 +-Applying beta-rule and splitting (2339), into two cases.
% 244.23/186.42 |-Branch one:
% 244.23/186.42 | (2340) ~ (all_1039_2_847 = 0)
% 244.23/186.42 |
% 244.23/186.42 | Equations (2334) can reduce 2340 to:
% 244.23/186.42 | (339) $false
% 244.23/186.42 |
% 244.23/186.42 |-The branch is then unsatisfiable
% 244.23/186.42 |-Branch two:
% 244.23/186.42 | (2334) all_1039_2_847 = 0
% 244.23/186.42 | (2343) all_1039_0_845 = 0
% 244.23/186.42 |
% 244.23/186.42 | Combining equations (2343,2333) yields a new equation:
% 244.23/186.42 | (348) all_0_11_11 = 0
% 244.23/186.42 |
% 244.23/186.42 | Equations (348) can reduce 47 to:
% 244.23/186.42 | (339) $false
% 244.23/186.42 |
% 244.23/186.42 |-The branch is then unsatisfiable
% 244.23/186.42 |-Branch two:
% 244.23/186.42 | (2196) ~ (all_396_3_188 = 0)
% 244.23/186.42 | (2347) ? [v0] : ? [v1] : (( ~ (v0 = 0) & aNaturalNumber0(all_14_1_25) = v0) | (aNaturalNumber0(xk) = v1 & aNaturalNumber0(xm) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))))
% 244.23/186.42 |
% 244.23/186.42 | Instantiating (2347) with all_938_0_866, all_938_1_867 yields:
% 244.23/186.42 | (2348) ( ~ (all_938_1_867 = 0) & aNaturalNumber0(all_14_1_25) = all_938_1_867) | (aNaturalNumber0(xk) = all_938_0_866 & aNaturalNumber0(xm) = all_938_1_867 & ( ~ (all_938_0_866 = 0) | ~ (all_938_1_867 = 0)))
% 244.23/186.42 |
% 244.23/186.42 +-Applying beta-rule and splitting (2348), into two cases.
% 244.23/186.42 |-Branch one:
% 244.23/186.43 | (2349) ~ (all_938_1_867 = 0) & aNaturalNumber0(all_14_1_25) = all_938_1_867
% 244.23/186.43 |
% 244.23/186.43 | Applying alpha-rule on (2349) yields:
% 244.23/186.43 | (2350) ~ (all_938_1_867 = 0)
% 244.23/186.43 | (2351) aNaturalNumber0(all_14_1_25) = all_938_1_867
% 244.23/186.43 |
% 244.23/186.43 | Instantiating formula (31) with all_14_1_25, all_938_1_867, 0 and discharging atoms aNaturalNumber0(all_14_1_25) = all_938_1_867, aNaturalNumber0(all_14_1_25) = 0, yields:
% 244.23/186.43 | (2352) all_938_1_867 = 0
% 244.23/186.43 |
% 244.23/186.43 | Equations (2352) can reduce 2350 to:
% 244.23/186.43 | (339) $false
% 244.23/186.43 |
% 244.23/186.43 |-The branch is then unsatisfiable
% 244.23/186.43 |-Branch two:
% 244.23/186.43 | (2354) aNaturalNumber0(xk) = all_938_0_866 & aNaturalNumber0(xm) = all_938_1_867 & ( ~ (all_938_0_866 = 0) | ~ (all_938_1_867 = 0))
% 244.23/186.43 |
% 244.23/186.43 | Applying alpha-rule on (2354) yields:
% 244.23/186.43 | (2355) aNaturalNumber0(xk) = all_938_0_866
% 244.23/186.43 | (2356) aNaturalNumber0(xm) = all_938_1_867
% 244.23/186.43 | (2357) ~ (all_938_0_866 = 0) | ~ (all_938_1_867 = 0)
% 244.23/186.43 |
% 244.23/186.43 +-Applying beta-rule and splitting (1019), into two cases.
% 244.23/186.43 |-Branch one:
% 244.23/186.43 | (371) xp = sz00
% 244.23/186.43 |
% 244.23/186.43 | Equations (371) can reduce 40 to:
% 244.23/186.43 | (339) $false
% 244.23/186.43 |
% 244.23/186.43 |-The branch is then unsatisfiable
% 244.23/186.43 |-Branch two:
% 244.23/186.43 | (40) ~ (xp = sz00)
% 244.23/186.43 | (2361) all_44_2_80 = xk | ? [v0] : ? [v1] : ? [v2] : (( ~ (v0 = 0) & aNaturalNumber0(all_44_2_80) = v0) | (doDivides0(xp, all_0_12_12) = v2 & aNaturalNumber0(all_0_12_12) = v1 & aNaturalNumber0(xp) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))))
% 244.23/186.43 |
% 244.23/186.43 +-Applying beta-rule and splitting (2361), into two cases.
% 244.23/186.43 |-Branch one:
% 244.23/186.43 | (2362) all_44_2_80 = xk
% 244.23/186.43 |
% 244.23/186.43 | From (2362) and (805) follows:
% 244.23/186.43 | (36) aNaturalNumber0(xk) = 0
% 244.23/186.43 |
% 244.23/186.43 +-Applying beta-rule and splitting (1018), into two cases.
% 244.23/186.43 |-Branch one:
% 244.23/186.43 | (371) xp = sz00
% 244.23/186.43 |
% 244.23/186.43 | Equations (371) can reduce 40 to:
% 244.23/186.43 | (339) $false
% 244.23/186.43 |
% 244.23/186.43 |-The branch is then unsatisfiable
% 244.23/186.43 |-Branch two:
% 244.23/186.43 | (40) ~ (xp = sz00)
% 244.23/186.43 | (2367) all_44_2_80 = xm | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (sdtlseqdt0(v4, v5) = v6 & sdtlseqdt0(all_44_2_80, xm) = v3 & sdtasdt0(all_44_2_80, xp) = v4 & sdtasdt0(xm, xp) = v5 & aNaturalNumber0(all_44_2_80) = v1 & aNaturalNumber0(xp) = v0 & aNaturalNumber0(xm) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v6 = 0 & all_0_8_8 = 0 & ~ (v5 = v4) & ~ (all_0_9_9 = all_0_12_12))))
% 244.23/186.43 |
% 244.23/186.43 +-Applying beta-rule and splitting (1017), into two cases.
% 244.23/186.43 |-Branch one:
% 244.23/186.43 | (371) xp = sz00
% 244.23/186.43 |
% 244.23/186.43 | Equations (371) can reduce 40 to:
% 244.23/186.43 | (339) $false
% 244.23/186.43 |
% 244.23/186.43 |-The branch is then unsatisfiable
% 244.23/186.43 |-Branch two:
% 244.23/186.43 | (40) ~ (xp = sz00)
% 244.23/186.43 | (2371) all_44_2_80 = xm | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (sdtlseqdt0(v4, v5) = v6 & sdtlseqdt0(xm, all_44_2_80) = v3 & sdtasdt0(all_44_2_80, xp) = v5 & sdtasdt0(xm, xp) = v4 & aNaturalNumber0(all_44_2_80) = v2 & aNaturalNumber0(xp) = v0 & aNaturalNumber0(xm) = v1 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v6 = 0 & all_0_7_7 = 0 & ~ (v5 = v4) & ~ (all_0_9_9 = all_0_12_12))))
% 244.23/186.43 |
% 244.23/186.43 +-Applying beta-rule and splitting (2367), into two cases.
% 244.23/186.43 |-Branch one:
% 244.23/186.43 | (2372) all_44_2_80 = xm
% 244.23/186.43 |
% 244.23/186.43 | Combining equations (2362,2372) yields a new equation:
% 244.23/186.43 | (868) xk = xm
% 244.23/186.43 |
% 244.23/186.43 | Simplifying 868 yields:
% 244.23/186.43 | (831) xk = xm
% 244.23/186.43 |
% 244.23/186.43 | Equations (831) can reduce 822 to:
% 244.23/186.43 | (339) $false
% 244.23/186.43 |
% 244.23/186.43 |-The branch is then unsatisfiable
% 244.23/186.43 |-Branch two:
% 244.23/186.43 | (2376) ~ (all_44_2_80 = xm)
% 244.23/186.43 | (2377) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (sdtlseqdt0(v4, v5) = v6 & sdtlseqdt0(all_44_2_80, xm) = v3 & sdtasdt0(all_44_2_80, xp) = v4 & sdtasdt0(xm, xp) = v5 & aNaturalNumber0(all_44_2_80) = v1 & aNaturalNumber0(xp) = v0 & aNaturalNumber0(xm) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v6 = 0 & all_0_8_8 = 0 & ~ (v5 = v4) & ~ (all_0_9_9 = all_0_12_12))))
% 244.23/186.43 |
% 244.23/186.43 | Instantiating (2377) with all_1345_0_884, all_1345_1_885, all_1345_2_886, all_1345_3_887, all_1345_4_888, all_1345_5_889, all_1345_6_890 yields:
% 244.23/186.43 | (2378) sdtlseqdt0(all_1345_2_886, all_1345_1_885) = all_1345_0_884 & sdtlseqdt0(all_44_2_80, xm) = all_1345_3_887 & sdtasdt0(all_44_2_80, xp) = all_1345_2_886 & sdtasdt0(xm, xp) = all_1345_1_885 & aNaturalNumber0(all_44_2_80) = all_1345_5_889 & aNaturalNumber0(xp) = all_1345_6_890 & aNaturalNumber0(xm) = all_1345_4_888 & ( ~ (all_1345_3_887 = 0) | ~ (all_1345_4_888 = 0) | ~ (all_1345_5_889 = 0) | ~ (all_1345_6_890 = 0) | (all_1345_0_884 = 0 & all_0_8_8 = 0 & ~ (all_1345_1_885 = all_1345_2_886) & ~ (all_0_9_9 = all_0_12_12)))
% 244.23/186.43 |
% 244.23/186.43 | Applying alpha-rule on (2378) yields:
% 244.23/186.43 | (2379) sdtasdt0(xm, xp) = all_1345_1_885
% 244.23/186.43 | (2380) sdtasdt0(all_44_2_80, xp) = all_1345_2_886
% 244.23/186.43 | (2381) sdtlseqdt0(all_44_2_80, xm) = all_1345_3_887
% 244.23/186.43 | (2382) aNaturalNumber0(xm) = all_1345_4_888
% 244.23/186.43 | (2383) sdtlseqdt0(all_1345_2_886, all_1345_1_885) = all_1345_0_884
% 244.23/186.43 | (2384) aNaturalNumber0(all_44_2_80) = all_1345_5_889
% 244.23/186.43 | (2385) ~ (all_1345_3_887 = 0) | ~ (all_1345_4_888 = 0) | ~ (all_1345_5_889 = 0) | ~ (all_1345_6_890 = 0) | (all_1345_0_884 = 0 & all_0_8_8 = 0 & ~ (all_1345_1_885 = all_1345_2_886) & ~ (all_0_9_9 = all_0_12_12))
% 244.23/186.43 | (2386) aNaturalNumber0(xp) = all_1345_6_890
% 244.23/186.43 |
% 244.23/186.43 | Equations (2362) can reduce 2376 to:
% 244.23/186.43 | (822) ~ (xk = xm)
% 244.23/186.43 |
% 244.23/186.43 | From (2362) and (2384) follows:
% 244.23/186.43 | (2388) aNaturalNumber0(xk) = all_1345_5_889
% 244.23/186.43 |
% 244.23/186.43 +-Applying beta-rule and splitting (2371), into two cases.
% 244.23/186.43 |-Branch one:
% 244.23/186.43 | (2372) all_44_2_80 = xm
% 244.23/186.43 |
% 244.23/186.43 | Combining equations (2362,2372) yields a new equation:
% 244.23/186.43 | (868) xk = xm
% 244.23/186.43 |
% 244.23/186.43 | Simplifying 868 yields:
% 244.23/186.43 | (831) xk = xm
% 244.23/186.43 |
% 244.23/186.43 | Equations (831) can reduce 822 to:
% 244.23/186.43 | (339) $false
% 244.23/186.43 |
% 244.23/186.43 |-The branch is then unsatisfiable
% 244.23/186.43 |-Branch two:
% 244.23/186.43 | (2376) ~ (all_44_2_80 = xm)
% 244.23/186.43 | (2394) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (sdtlseqdt0(v4, v5) = v6 & sdtlseqdt0(xm, all_44_2_80) = v3 & sdtasdt0(all_44_2_80, xp) = v5 & sdtasdt0(xm, xp) = v4 & aNaturalNumber0(all_44_2_80) = v2 & aNaturalNumber0(xp) = v0 & aNaturalNumber0(xm) = v1 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v6 = 0 & all_0_7_7 = 0 & ~ (v5 = v4) & ~ (all_0_9_9 = all_0_12_12))))
% 244.23/186.43 |
% 244.23/186.43 | Instantiating (2394) with all_1363_0_892, all_1363_1_893, all_1363_2_894, all_1363_3_895, all_1363_4_896, all_1363_5_897, all_1363_6_898 yields:
% 244.23/186.43 | (2395) sdtlseqdt0(all_1363_2_894, all_1363_1_893) = all_1363_0_892 & sdtlseqdt0(xm, all_44_2_80) = all_1363_3_895 & sdtasdt0(all_44_2_80, xp) = all_1363_1_893 & sdtasdt0(xm, xp) = all_1363_2_894 & aNaturalNumber0(all_44_2_80) = all_1363_4_896 & aNaturalNumber0(xp) = all_1363_6_898 & aNaturalNumber0(xm) = all_1363_5_897 & ( ~ (all_1363_3_895 = 0) | ~ (all_1363_4_896 = 0) | ~ (all_1363_5_897 = 0) | ~ (all_1363_6_898 = 0) | (all_1363_0_892 = 0 & all_0_7_7 = 0 & ~ (all_1363_1_893 = all_1363_2_894) & ~ (all_0_9_9 = all_0_12_12)))
% 244.23/186.43 |
% 244.23/186.43 | Applying alpha-rule on (2395) yields:
% 244.23/186.43 | (2396) sdtasdt0(xm, xp) = all_1363_2_894
% 244.23/186.43 | (2397) sdtasdt0(all_44_2_80, xp) = all_1363_1_893
% 244.23/186.43 | (2398) aNaturalNumber0(xp) = all_1363_6_898
% 244.23/186.43 | (2399) aNaturalNumber0(all_44_2_80) = all_1363_4_896
% 244.23/186.43 | (2400) sdtlseqdt0(xm, all_44_2_80) = all_1363_3_895
% 244.23/186.43 | (2401) ~ (all_1363_3_895 = 0) | ~ (all_1363_4_896 = 0) | ~ (all_1363_5_897 = 0) | ~ (all_1363_6_898 = 0) | (all_1363_0_892 = 0 & all_0_7_7 = 0 & ~ (all_1363_1_893 = all_1363_2_894) & ~ (all_0_9_9 = all_0_12_12))
% 244.23/186.43 | (2402) aNaturalNumber0(xm) = all_1363_5_897
% 244.23/186.43 | (2403) sdtlseqdt0(all_1363_2_894, all_1363_1_893) = all_1363_0_892
% 244.23/186.43 |
% 244.23/186.43 | From (2362) and (2399) follows:
% 244.23/186.43 | (2404) aNaturalNumber0(xk) = all_1363_4_896
% 244.23/186.43 |
% 244.23/186.43 | Instantiating formula (31) with xk, all_1363_4_896, 0 and discharging atoms aNaturalNumber0(xk) = all_1363_4_896, aNaturalNumber0(xk) = 0, yields:
% 244.23/186.44 | (2405) all_1363_4_896 = 0
% 244.23/186.44 |
% 244.23/186.44 | Instantiating formula (31) with xk, all_1345_5_889, all_1363_4_896 and discharging atoms aNaturalNumber0(xk) = all_1363_4_896, aNaturalNumber0(xk) = all_1345_5_889, yields:
% 244.23/186.44 | (2406) all_1363_4_896 = all_1345_5_889
% 244.23/186.44 |
% 244.23/186.44 | Instantiating formula (31) with xk, all_938_0_866, all_1363_4_896 and discharging atoms aNaturalNumber0(xk) = all_1363_4_896, aNaturalNumber0(xk) = all_938_0_866, yields:
% 244.23/186.44 | (2407) all_1363_4_896 = all_938_0_866
% 244.23/186.44 |
% 244.23/186.44 | Instantiating formula (31) with xm, all_1363_5_897, 0 and discharging atoms aNaturalNumber0(xm) = all_1363_5_897, aNaturalNumber0(xm) = 0, yields:
% 244.23/186.44 | (2408) all_1363_5_897 = 0
% 244.23/186.44 |
% 244.23/186.44 | Instantiating formula (31) with xm, all_1345_4_888, all_1363_5_897 and discharging atoms aNaturalNumber0(xm) = all_1363_5_897, aNaturalNumber0(xm) = all_1345_4_888, yields:
% 244.23/186.44 | (2409) all_1363_5_897 = all_1345_4_888
% 244.23/186.44 |
% 244.23/186.44 | Instantiating formula (31) with xm, all_938_1_867, all_1363_5_897 and discharging atoms aNaturalNumber0(xm) = all_1363_5_897, aNaturalNumber0(xm) = all_938_1_867, yields:
% 244.23/186.44 | (2410) all_1363_5_897 = all_938_1_867
% 244.23/186.44 |
% 244.23/186.44 | Combining equations (2407,2406) yields a new equation:
% 244.23/186.44 | (2411) all_1345_5_889 = all_938_0_866
% 244.23/186.44 |
% 244.23/186.44 | Combining equations (2405,2406) yields a new equation:
% 244.23/186.44 | (2412) all_1345_5_889 = 0
% 244.23/186.44 |
% 244.23/186.44 | Combining equations (2410,2409) yields a new equation:
% 244.23/186.44 | (2413) all_1345_4_888 = all_938_1_867
% 244.23/186.44 |
% 244.23/186.44 | Combining equations (2408,2409) yields a new equation:
% 244.23/186.44 | (2414) all_1345_4_888 = 0
% 244.23/186.44 |
% 244.23/186.44 | Combining equations (2414,2413) yields a new equation:
% 244.23/186.44 | (2352) all_938_1_867 = 0
% 244.23/186.44 |
% 244.23/186.44 | Combining equations (2412,2411) yields a new equation:
% 244.23/186.44 | (2416) all_938_0_866 = 0
% 244.23/186.44 |
% 244.23/186.44 +-Applying beta-rule and splitting (2357), into two cases.
% 244.23/186.44 |-Branch one:
% 244.23/186.44 | (2417) ~ (all_938_0_866 = 0)
% 244.23/186.44 |
% 244.23/186.44 | Equations (2416) can reduce 2417 to:
% 244.23/186.44 | (339) $false
% 244.23/186.44 |
% 244.23/186.44 |-The branch is then unsatisfiable
% 244.23/186.44 |-Branch two:
% 244.23/186.44 | (2416) all_938_0_866 = 0
% 244.23/186.44 | (2350) ~ (all_938_1_867 = 0)
% 244.23/186.44 |
% 244.23/186.44 | Equations (2352) can reduce 2350 to:
% 244.23/186.44 | (339) $false
% 244.23/186.44 |
% 244.23/186.44 |-The branch is then unsatisfiable
% 244.23/186.44 |-Branch two:
% 244.23/186.44 | (2422) ~ (all_44_2_80 = xk)
% 244.23/186.44 | (2423) ? [v0] : ? [v1] : ? [v2] : (( ~ (v0 = 0) & aNaturalNumber0(all_44_2_80) = v0) | (doDivides0(xp, all_0_12_12) = v2 & aNaturalNumber0(all_0_12_12) = v1 & aNaturalNumber0(xp) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))))
% 244.23/186.44 |
% 244.23/186.44 +-Applying beta-rule and splitting (2194), into two cases.
% 244.23/186.44 |-Branch one:
% 244.23/186.44 | (2362) all_44_2_80 = xk
% 244.23/186.44 |
% 244.23/186.44 | Equations (2362) can reduce 2422 to:
% 244.23/186.44 | (339) $false
% 244.23/186.44 |
% 244.23/186.44 |-The branch is then unsatisfiable
% 244.23/186.44 |-Branch two:
% 244.23/186.44 | (2422) ~ (all_44_2_80 = xk)
% 244.23/186.44 | (2427) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (sdtasdt0(all_44_2_80, xp) = v3 & sdtasdt0(xk, xp) = v2 & aNaturalNumber0(all_44_2_80) = v1 & aNaturalNumber0(xk) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 244.23/186.44 |
% 244.23/186.44 | Instantiating (2427) with all_1334_0_907, all_1334_1_908, all_1334_2_909, all_1334_3_910 yields:
% 244.23/186.44 | (2428) sdtasdt0(all_44_2_80, xp) = all_1334_0_907 & sdtasdt0(xk, xp) = all_1334_1_908 & aNaturalNumber0(all_44_2_80) = all_1334_2_909 & aNaturalNumber0(xk) = all_1334_3_910 & ( ~ (all_1334_2_909 = 0) | ~ (all_1334_3_910 = 0))
% 244.23/186.44 |
% 244.23/186.44 | Applying alpha-rule on (2428) yields:
% 244.23/186.44 | (2429) sdtasdt0(all_44_2_80, xp) = all_1334_0_907
% 244.23/186.44 | (2430) sdtasdt0(xk, xp) = all_1334_1_908
% 244.23/186.44 | (2431) ~ (all_1334_2_909 = 0) | ~ (all_1334_3_910 = 0)
% 244.23/186.44 | (2432) aNaturalNumber0(all_44_2_80) = all_1334_2_909
% 244.23/186.44 | (2433) aNaturalNumber0(xk) = all_1334_3_910
% 244.23/186.44 |
% 244.23/186.44 | Instantiating formula (31) with all_44_2_80, all_1334_2_909, 0 and discharging atoms aNaturalNumber0(all_44_2_80) = all_1334_2_909, aNaturalNumber0(all_44_2_80) = 0, yields:
% 244.23/186.44 | (2434) all_1334_2_909 = 0
% 244.23/186.44 |
% 244.23/186.44 | Instantiating formula (31) with xk, all_1334_3_910, 0 and discharging atoms aNaturalNumber0(xk) = all_1334_3_910, aNaturalNumber0(xk) = 0, yields:
% 244.23/186.44 | (2435) all_1334_3_910 = 0
% 244.23/186.44 |
% 244.23/186.44 +-Applying beta-rule and splitting (2431), into two cases.
% 244.23/186.44 |-Branch one:
% 244.23/186.44 | (2436) ~ (all_1334_2_909 = 0)
% 244.23/186.44 |
% 244.23/186.44 | Equations (2434) can reduce 2436 to:
% 244.23/186.44 | (339) $false
% 244.23/186.44 |
% 244.23/186.44 |-The branch is then unsatisfiable
% 244.23/186.44 |-Branch two:
% 244.23/186.44 | (2434) all_1334_2_909 = 0
% 244.23/186.44 | (2439) ~ (all_1334_3_910 = 0)
% 244.23/186.44 |
% 244.23/186.44 | Equations (2435) can reduce 2439 to:
% 244.23/186.44 | (339) $false
% 244.23/186.44 |
% 244.23/186.44 |-The branch is then unsatisfiable
% 244.23/186.44 |-Branch two:
% 244.23/186.44 | (2441) ~ (all_107_0_173 = xp)
% 244.23/186.44 | (2442) all_107_0_173 = sz10 | ? [v0] : (( ~ (v0 = 0) & aNaturalNumber0(all_107_0_173) = v0) | ( ~ (v0 = 0) & aNaturalNumber0(xp) = v0))
% 244.23/186.44 |
% 244.23/186.44 +-Applying beta-rule and splitting (2442), into two cases.
% 244.23/186.44 |-Branch one:
% 244.23/186.44 | (1732) all_107_0_173 = sz10
% 244.23/186.44 |
% 244.23/186.44 | Equations (1732) can reduce 391 to:
% 244.23/186.44 | (339) $false
% 244.23/186.44 |
% 244.23/186.44 |-The branch is then unsatisfiable
% 244.23/186.44 |-Branch two:
% 244.23/186.44 | (391) ~ (all_107_0_173 = sz10)
% 244.23/186.44 | (2446) ? [v0] : (( ~ (v0 = 0) & aNaturalNumber0(all_107_0_173) = v0) | ( ~ (v0 = 0) & aNaturalNumber0(xp) = v0))
% 244.23/186.44 |
% 244.23/186.44 | Instantiating (2446) with all_766_0_917 yields:
% 244.23/186.44 | (2447) ( ~ (all_766_0_917 = 0) & aNaturalNumber0(all_107_0_173) = all_766_0_917) | ( ~ (all_766_0_917 = 0) & aNaturalNumber0(xp) = all_766_0_917)
% 244.23/186.44 |
% 244.23/186.44 +-Applying beta-rule and splitting (2447), into two cases.
% 244.23/186.44 |-Branch one:
% 244.23/186.44 | (2448) ~ (all_766_0_917 = 0) & aNaturalNumber0(all_107_0_173) = all_766_0_917
% 244.23/186.44 |
% 244.23/186.44 | Applying alpha-rule on (2448) yields:
% 244.23/186.44 | (2449) ~ (all_766_0_917 = 0)
% 244.23/186.44 | (2450) aNaturalNumber0(all_107_0_173) = all_766_0_917
% 244.23/186.44 |
% 244.23/186.44 | Instantiating formula (31) with all_107_0_173, all_766_0_917, 0 and discharging atoms aNaturalNumber0(all_107_0_173) = all_766_0_917, aNaturalNumber0(all_107_0_173) = 0, yields:
% 244.23/186.44 | (2451) all_766_0_917 = 0
% 244.23/186.44 |
% 244.23/186.44 | Equations (2451) can reduce 2449 to:
% 244.23/186.44 | (339) $false
% 244.23/186.44 |
% 244.23/186.44 |-The branch is then unsatisfiable
% 244.23/186.44 |-Branch two:
% 244.23/186.44 | (2453) ~ (all_766_0_917 = 0) & aNaturalNumber0(xp) = all_766_0_917
% 244.23/186.44 |
% 244.23/186.44 | Applying alpha-rule on (2453) yields:
% 244.23/186.44 | (2449) ~ (all_766_0_917 = 0)
% 244.23/186.44 | (2455) aNaturalNumber0(xp) = all_766_0_917
% 244.23/186.44 |
% 244.23/186.44 | Instantiating formula (31) with xp, all_766_0_917, 0 and discharging atoms aNaturalNumber0(xp) = all_766_0_917, aNaturalNumber0(xp) = 0, yields:
% 244.23/186.44 | (2451) all_766_0_917 = 0
% 244.23/186.44 |
% 244.23/186.44 | Equations (2451) can reduce 2449 to:
% 244.23/186.44 | (339) $false
% 244.23/186.44 |
% 244.23/186.44 |-The branch is then unsatisfiable
% 244.23/186.45 |-Branch two:
% 244.23/186.45 | (2458) sdtasdt0(sz10, xm) = all_0_12_12
% 244.23/186.45 | (2459) ? [v0] : ? [v1] : (sdtasdt0(xm, sz10) = v1 & aNaturalNumber0(xm) = v0 & ( ~ (v0 = 0) | (v1 = xm & all_0_12_12 = xm)))
% 244.23/186.45 |
% 244.23/186.45 | Instantiating (2459) with all_453_0_989, all_453_1_990 yields:
% 244.23/186.45 | (2460) sdtasdt0(xm, sz10) = all_453_0_989 & aNaturalNumber0(xm) = all_453_1_990 & ( ~ (all_453_1_990 = 0) | (all_453_0_989 = xm & all_0_12_12 = xm))
% 244.23/186.45 |
% 244.23/186.45 | Applying alpha-rule on (2460) yields:
% 244.23/186.45 | (2461) sdtasdt0(xm, sz10) = all_453_0_989
% 244.23/186.45 | (2462) aNaturalNumber0(xm) = all_453_1_990
% 244.23/186.45 | (2463) ~ (all_453_1_990 = 0) | (all_453_0_989 = xm & all_0_12_12 = xm)
% 244.23/186.45 |
% 244.23/186.45 +-Applying beta-rule and splitting (2463), into two cases.
% 244.23/186.45 |-Branch one:
% 244.23/186.45 | (2464) ~ (all_453_1_990 = 0)
% 244.23/186.45 |
% 244.23/186.45 | Instantiating formula (31) with xm, all_453_1_990, 0 and discharging atoms aNaturalNumber0(xm) = all_453_1_990, aNaturalNumber0(xm) = 0, yields:
% 244.23/186.45 | (2465) all_453_1_990 = 0
% 244.23/186.45 |
% 244.23/186.45 | Equations (2465) can reduce 2464 to:
% 244.23/186.45 | (339) $false
% 244.23/186.45 |
% 244.23/186.45 |-The branch is then unsatisfiable
% 244.23/186.45 |-Branch two:
% 244.23/186.45 | (2465) all_453_1_990 = 0
% 244.23/186.45 | (2468) all_453_0_989 = xm & all_0_12_12 = xm
% 244.23/186.45 |
% 244.23/186.45 | Applying alpha-rule on (2468) yields:
% 244.23/186.45 | (2469) all_453_0_989 = xm
% 244.23/186.45 | (2470) all_0_12_12 = xm
% 244.23/186.45 |
% 244.23/186.45 | Equations (2470) can reduce 820 to:
% 244.23/186.45 | (339) $false
% 244.23/186.45 |
% 244.23/186.45 |-The branch is then unsatisfiable
% 244.23/186.45 |-Branch two:
% 244.23/186.45 | (2472) sdtasdt0(sz00, xm) = all_0_12_12
% 244.23/186.45 | (2473) ? [v0] : ? [v1] : (sdtasdt0(xm, sz00) = v1 & aNaturalNumber0(xm) = v0 & ( ~ (v0 = 0) | (v1 = sz00 & all_0_12_12 = sz00)))
% 244.23/186.45 |
% 244.23/186.45 | Instantiating (2473) with all_411_0_991, all_411_1_992 yields:
% 244.23/186.45 | (2474) sdtasdt0(xm, sz00) = all_411_0_991 & aNaturalNumber0(xm) = all_411_1_992 & ( ~ (all_411_1_992 = 0) | (all_411_0_991 = sz00 & all_0_12_12 = sz00))
% 244.23/186.45 |
% 244.23/186.45 | Applying alpha-rule on (2474) yields:
% 244.23/186.45 | (2475) sdtasdt0(xm, sz00) = all_411_0_991
% 244.23/186.45 | (2476) aNaturalNumber0(xm) = all_411_1_992
% 244.23/186.45 | (2477) ~ (all_411_1_992 = 0) | (all_411_0_991 = sz00 & all_0_12_12 = sz00)
% 244.23/186.45 |
% 244.23/186.45 +-Applying beta-rule and splitting (2477), into two cases.
% 244.23/186.45 |-Branch one:
% 244.23/186.45 | (2478) ~ (all_411_1_992 = 0)
% 244.23/186.45 |
% 244.23/186.45 | Instantiating formula (31) with xm, all_411_1_992, 0 and discharging atoms aNaturalNumber0(xm) = all_411_1_992, aNaturalNumber0(xm) = 0, yields:
% 244.23/186.45 | (2479) all_411_1_992 = 0
% 244.23/186.45 |
% 244.23/186.45 | Equations (2479) can reduce 2478 to:
% 244.23/186.45 | (339) $false
% 244.23/186.45 |
% 244.23/186.45 |-The branch is then unsatisfiable
% 244.23/186.45 |-Branch two:
% 244.23/186.45 | (2479) all_411_1_992 = 0
% 244.23/186.45 | (2482) all_411_0_991 = sz00 & all_0_12_12 = sz00
% 244.23/186.45 |
% 244.23/186.45 | Applying alpha-rule on (2482) yields:
% 244.23/186.45 | (2483) all_411_0_991 = sz00
% 244.23/186.45 | (841) all_0_12_12 = sz00
% 244.23/186.45 |
% 244.23/186.45 | Equations (841) can reduce 821 to:
% 244.23/186.45 | (339) $false
% 244.23/186.45 |
% 244.23/186.45 |-The branch is then unsatisfiable
% 244.23/186.45 |-Branch two:
% 244.23/186.45 | (2486) aNaturalNumber0(xk) = all_43_1_76 & aNaturalNumber0(xp) = all_43_2_77 & ( ~ (all_43_1_76 = 0) | ~ (all_43_2_77 = 0))
% 244.23/186.45 |
% 244.23/186.45 | Applying alpha-rule on (2486) yields:
% 244.23/186.45 | (2487) aNaturalNumber0(xk) = all_43_1_76
% 244.23/186.45 | (2488) aNaturalNumber0(xp) = all_43_2_77
% 244.23/186.45 | (2489) ~ (all_43_1_76 = 0) | ~ (all_43_2_77 = 0)
% 244.23/186.45 |
% 244.23/186.45 | Instantiating formula (31) with xk, all_43_1_76, 0 and discharging atoms aNaturalNumber0(xk) = all_43_1_76, aNaturalNumber0(xk) = 0, yields:
% 244.23/186.45 | (817) all_43_1_76 = 0
% 244.23/186.45 |
% 244.23/186.45 | Instantiating formula (31) with xp, all_43_2_77, 0 and discharging atoms aNaturalNumber0(xp) = all_43_2_77, aNaturalNumber0(xp) = 0, yields:
% 244.23/186.45 | (2491) all_43_2_77 = 0
% 244.23/186.45 |
% 244.23/186.45 +-Applying beta-rule and splitting (2489), into two cases.
% 244.23/186.45 |-Branch one:
% 244.23/186.45 | (2492) ~ (all_43_1_76 = 0)
% 244.23/186.45 |
% 244.23/186.45 | Equations (817) can reduce 2492 to:
% 244.23/186.45 | (339) $false
% 244.23/186.45 |
% 244.23/186.45 |-The branch is then unsatisfiable
% 244.23/186.45 |-Branch two:
% 244.23/186.45 | (817) all_43_1_76 = 0
% 244.23/186.45 | (2495) ~ (all_43_2_77 = 0)
% 244.23/186.45 |
% 244.23/186.45 | Equations (2491) can reduce 2495 to:
% 244.23/186.45 | (339) $false
% 244.23/186.45 |
% 244.23/186.45 |-The branch is then unsatisfiable
% 244.23/186.45 |-Branch two:
% 244.23/186.45 | (2497) aNaturalNumber0(all_0_12_12) = all_44_1_79 & aNaturalNumber0(xp) = all_44_2_80 & ( ~ (all_44_1_79 = 0) | ~ (all_44_2_80 = 0))
% 244.23/186.45 |
% 244.23/186.45 | Applying alpha-rule on (2497) yields:
% 244.23/186.45 | (2498) aNaturalNumber0(all_0_12_12) = all_44_1_79
% 244.23/186.45 | (2499) aNaturalNumber0(xp) = all_44_2_80
% 244.23/186.45 | (2500) ~ (all_44_1_79 = 0) | ~ (all_44_2_80 = 0)
% 244.23/186.45 |
% 244.23/186.45 | Instantiating formula (31) with all_0_12_12, all_44_1_79, 0 and discharging atoms aNaturalNumber0(all_0_12_12) = all_44_1_79, aNaturalNumber0(all_0_12_12) = 0, yields:
% 244.23/186.45 | (803) all_44_1_79 = 0
% 244.23/186.45 |
% 244.23/186.45 | Instantiating formula (31) with xp, all_44_2_80, 0 and discharging atoms aNaturalNumber0(xp) = all_44_2_80, aNaturalNumber0(xp) = 0, yields:
% 244.23/186.45 | (2502) all_44_2_80 = 0
% 244.23/186.45 |
% 244.23/186.45 +-Applying beta-rule and splitting (2500), into two cases.
% 244.23/186.45 |-Branch one:
% 244.23/186.45 | (2503) ~ (all_44_1_79 = 0)
% 244.23/186.45 |
% 244.23/186.45 | Equations (803) can reduce 2503 to:
% 244.23/186.45 | (339) $false
% 244.23/186.45 |
% 244.23/186.45 |-The branch is then unsatisfiable
% 244.23/186.45 |-Branch two:
% 244.23/186.45 | (803) all_44_1_79 = 0
% 244.23/186.45 | (2506) ~ (all_44_2_80 = 0)
% 244.23/186.45 |
% 244.23/186.45 | Equations (2502) can reduce 2506 to:
% 244.23/186.45 | (339) $false
% 244.23/186.45 |
% 244.23/186.45 |-The branch is then unsatisfiable
% 244.23/186.45 |-Branch two:
% 244.23/186.45 | (2508) sdtasdt0(xp, xk) = sz00
% 244.23/186.45 | (2509) xk = sz00 | xp = sz00 | ? [v0] : ? [v1] : (aNaturalNumber0(xk) = v1 & aNaturalNumber0(xp) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 244.23/186.45 |
% 244.23/186.45 +-Applying beta-rule and splitting (127), into two cases.
% 244.23/186.45 |-Branch one:
% 244.23/186.45 | (2510) ~ (sdtasdt0(xp, all_0_0_0) = sz00)
% 244.23/186.45 |
% 244.23/186.45 | From (741) and (2510) follows:
% 244.23/186.45 | (761) ~ (sdtasdt0(xp, xk) = sz00)
% 244.23/186.45 |
% 244.23/186.45 | Using (2508) and (761) yields:
% 244.23/186.45 | (728) $false
% 244.23/186.45 |
% 244.23/186.45 |-The branch is then unsatisfiable
% 244.23/186.45 |-Branch two:
% 244.23/186.45 | (2513) sdtasdt0(xp, all_0_0_0) = sz00
% 244.23/186.45 | (2514) all_0_0_0 = sz00 | xp = sz00 | ? [v0] : ? [v1] : (aNaturalNumber0(all_0_0_0) = v1 & aNaturalNumber0(xp) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 244.23/186.45 |
% 244.23/186.45 +-Applying beta-rule and splitting (162), into two cases.
% 244.23/186.45 |-Branch one:
% 244.23/186.45 | (766) all_0_0_0 = sz00
% 244.23/186.45 |
% 244.23/186.45 | Combining equations (741,766) yields a new equation:
% 244.23/186.45 | (767) xk = sz00
% 244.23/186.45 |
% 244.23/186.45 | Simplifying 767 yields:
% 244.23/186.45 | (358) xk = sz00
% 244.23/186.45 |
% 244.23/186.45 | Equations (358) can reduce 48 to:
% 244.23/186.45 | (339) $false
% 244.23/186.45 |
% 244.23/186.45 |-The branch is then unsatisfiable
% 244.23/186.45 |-Branch two:
% 244.23/186.45 | (770) ~ (all_0_0_0 = sz00)
% 244.23/186.45 | (771) all_0_0_0 = sz10 | ? [v0] : (isPrime0(v0) = 0 & doDivides0(v0, all_0_0_0) = 0 & aNaturalNumber0(v0) = 0)
% 244.23/186.45 |
% 244.23/186.45 | Equations (741) can reduce 770 to:
% 244.23/186.45 | (48) ~ (xk = sz00)
% 244.23/186.45 |
% 244.23/186.45 +-Applying beta-rule and splitting (2514), into two cases.
% 244.23/186.45 |-Branch one:
% 244.23/186.45 | (766) all_0_0_0 = sz00
% 244.23/186.45 |
% 244.23/186.45 | Combining equations (741,766) yields a new equation:
% 244.23/186.45 | (767) xk = sz00
% 244.23/186.45 |
% 244.23/186.45 | Simplifying 767 yields:
% 244.23/186.45 | (358) xk = sz00
% 244.23/186.45 |
% 244.23/186.45 | Equations (358) can reduce 48 to:
% 244.23/186.45 | (339) $false
% 244.23/186.45 |
% 244.23/186.45 |-The branch is then unsatisfiable
% 244.23/186.45 |-Branch two:
% 244.23/186.45 | (770) ~ (all_0_0_0 = sz00)
% 244.23/186.46 | (2527) xp = sz00 | ? [v0] : ? [v1] : (aNaturalNumber0(all_0_0_0) = v1 & aNaturalNumber0(xp) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 244.23/186.46 |
% 244.23/186.46 +-Applying beta-rule and splitting (2527), into two cases.
% 244.23/186.46 |-Branch one:
% 244.23/186.46 | (371) xp = sz00
% 244.23/186.46 |
% 244.23/186.46 | Equations (371) can reduce 40 to:
% 244.23/186.46 | (339) $false
% 244.23/186.46 |
% 244.23/186.46 |-The branch is then unsatisfiable
% 244.23/186.46 |-Branch two:
% 244.23/186.46 | (40) ~ (xp = sz00)
% 244.23/186.46 | (2531) ? [v0] : ? [v1] : (aNaturalNumber0(all_0_0_0) = v1 & aNaturalNumber0(xp) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 244.23/186.46 |
% 244.23/186.46 | Instantiating (2531) with all_292_0_1014, all_292_1_1015 yields:
% 244.23/186.46 | (2532) aNaturalNumber0(all_0_0_0) = all_292_0_1014 & aNaturalNumber0(xp) = all_292_1_1015 & ( ~ (all_292_0_1014 = 0) | ~ (all_292_1_1015 = 0))
% 244.23/186.46 |
% 244.23/186.46 | Applying alpha-rule on (2532) yields:
% 244.23/186.46 | (2533) aNaturalNumber0(all_0_0_0) = all_292_0_1014
% 244.23/186.46 | (2534) aNaturalNumber0(xp) = all_292_1_1015
% 244.23/186.46 | (2535) ~ (all_292_0_1014 = 0) | ~ (all_292_1_1015 = 0)
% 244.23/186.46 |
% 244.23/186.46 | From (741) and (2533) follows:
% 244.23/186.46 | (2536) aNaturalNumber0(xk) = all_292_0_1014
% 244.23/186.46 |
% 244.23/186.46 | Instantiating formula (31) with xk, all_292_0_1014, 0 and discharging atoms aNaturalNumber0(xk) = all_292_0_1014, aNaturalNumber0(xk) = 0, yields:
% 244.23/186.46 | (2537) all_292_0_1014 = 0
% 244.23/186.46 |
% 244.23/186.46 | Instantiating formula (31) with xp, all_292_1_1015, 0 and discharging atoms aNaturalNumber0(xp) = all_292_1_1015, aNaturalNumber0(xp) = 0, yields:
% 244.23/186.46 | (2538) all_292_1_1015 = 0
% 244.23/186.46 |
% 244.23/186.46 +-Applying beta-rule and splitting (2535), into two cases.
% 244.23/186.46 |-Branch one:
% 244.23/186.46 | (2539) ~ (all_292_0_1014 = 0)
% 244.23/186.46 |
% 244.23/186.46 | Equations (2537) can reduce 2539 to:
% 244.23/186.46 | (339) $false
% 244.23/186.46 |
% 244.23/186.46 |-The branch is then unsatisfiable
% 244.23/186.46 |-Branch two:
% 244.23/186.46 | (2537) all_292_0_1014 = 0
% 244.23/186.46 | (2542) ~ (all_292_1_1015 = 0)
% 244.23/186.46 |
% 244.23/186.46 | Equations (2538) can reduce 2542 to:
% 244.23/186.46 | (339) $false
% 244.23/186.46 |
% 244.23/186.46 |-The branch is then unsatisfiable
% 244.23/186.46 |-Branch two:
% 244.23/186.46 | (2544) aNaturalNumber0(xp) = all_42_1_73 & aNaturalNumber0(xn) = all_42_2_74 & ( ~ (all_42_1_73 = 0) | ~ (all_42_2_74 = 0))
% 244.23/186.46 |
% 244.23/186.46 | Applying alpha-rule on (2544) yields:
% 244.23/186.46 | (2545) aNaturalNumber0(xp) = all_42_1_73
% 244.23/186.46 | (2546) aNaturalNumber0(xn) = all_42_2_74
% 244.23/186.46 | (2547) ~ (all_42_1_73 = 0) | ~ (all_42_2_74 = 0)
% 244.23/186.46 |
% 244.23/186.46 | Instantiating formula (31) with xp, all_42_1_73, 0 and discharging atoms aNaturalNumber0(xp) = all_42_1_73, aNaturalNumber0(xp) = 0, yields:
% 244.23/186.46 | (747) all_42_1_73 = 0
% 244.23/186.46 |
% 244.23/186.46 | Instantiating formula (31) with xn, all_42_2_74, 0 and discharging atoms aNaturalNumber0(xn) = all_42_2_74, aNaturalNumber0(xn) = 0, yields:
% 244.23/186.46 | (2549) all_42_2_74 = 0
% 244.23/186.46 |
% 244.23/186.46 +-Applying beta-rule and splitting (2547), into two cases.
% 244.23/186.46 |-Branch one:
% 244.23/186.46 | (2550) ~ (all_42_1_73 = 0)
% 244.23/186.46 |
% 244.23/186.46 | Equations (747) can reduce 2550 to:
% 244.23/186.46 | (339) $false
% 244.23/186.46 |
% 244.23/186.46 |-The branch is then unsatisfiable
% 244.23/186.46 |-Branch two:
% 244.23/186.46 | (747) all_42_1_73 = 0
% 244.23/186.46 | (2553) ~ (all_42_2_74 = 0)
% 244.23/186.46 |
% 244.23/186.46 | Equations (2549) can reduce 2553 to:
% 244.23/186.46 | (339) $false
% 244.23/186.46 |
% 244.23/186.46 |-The branch is then unsatisfiable
% 244.23/186.46 |-Branch two:
% 244.23/186.46 | (2555) ~ (all_0_0_0 = xk)
% 244.23/186.46 | (2556) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (sdtasdt0(all_0_0_0, xp) = v3 & sdtasdt0(xk, xp) = v2 & aNaturalNumber0(all_0_0_0) = v1 & aNaturalNumber0(xk) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 244.23/186.46 |
% 244.23/186.46 | Instantiating (2556) with all_261_0_1028, all_261_1_1029, all_261_2_1030, all_261_3_1031 yields:
% 244.23/186.46 | (2557) sdtasdt0(all_0_0_0, xp) = all_261_0_1028 & sdtasdt0(xk, xp) = all_261_1_1029 & aNaturalNumber0(all_0_0_0) = all_261_2_1030 & aNaturalNumber0(xk) = all_261_3_1031 & ( ~ (all_261_2_1030 = 0) | ~ (all_261_3_1031 = 0))
% 244.23/186.46 |
% 244.23/186.46 | Applying alpha-rule on (2557) yields:
% 244.23/186.46 | (2558) aNaturalNumber0(xk) = all_261_3_1031
% 244.23/186.46 | (2559) ~ (all_261_2_1030 = 0) | ~ (all_261_3_1031 = 0)
% 244.23/186.46 | (2560) aNaturalNumber0(all_0_0_0) = all_261_2_1030
% 244.23/186.46 | (2561) sdtasdt0(xk, xp) = all_261_1_1029
% 244.23/186.46 | (2562) sdtasdt0(all_0_0_0, xp) = all_261_0_1028
% 244.23/186.46 |
% 244.23/186.46 | Instantiating formula (31) with all_0_0_0, all_261_2_1030, 0 and discharging atoms aNaturalNumber0(all_0_0_0) = all_261_2_1030, aNaturalNumber0(all_0_0_0) = 0, yields:
% 244.23/186.46 | (2563) all_261_2_1030 = 0
% 244.23/186.46 |
% 244.23/186.46 | Instantiating formula (31) with xk, all_261_3_1031, 0 and discharging atoms aNaturalNumber0(xk) = all_261_3_1031, aNaturalNumber0(xk) = 0, yields:
% 244.23/186.46 | (2564) all_261_3_1031 = 0
% 244.23/186.46 |
% 244.23/186.46 +-Applying beta-rule and splitting (2559), into two cases.
% 244.23/186.46 |-Branch one:
% 244.23/186.46 | (2565) ~ (all_261_2_1030 = 0)
% 244.23/186.46 |
% 244.23/186.46 | Equations (2563) can reduce 2565 to:
% 244.23/186.46 | (339) $false
% 244.23/186.46 |
% 244.23/186.46 |-The branch is then unsatisfiable
% 244.23/186.46 |-Branch two:
% 244.23/186.46 | (2563) all_261_2_1030 = 0
% 244.23/186.46 | (2568) ~ (all_261_3_1031 = 0)
% 244.23/186.46 |
% 244.23/186.46 | Equations (2564) can reduce 2568 to:
% 244.23/186.46 | (339) $false
% 244.23/186.46 |
% 244.23/186.46 |-The branch is then unsatisfiable
% 244.23/186.46 |-Branch two:
% 244.23/186.46 | (2570) sdtasdt0(xp, xk) = xm
% 244.23/186.46 | (2571) all_0_10_10 = 0 | xk = sz00 | ? [v0] : ? [v1] : (aNaturalNumber0(xk) = v0 & aNaturalNumber0(xp) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 244.23/186.46 |
% 244.23/186.46 +-Applying beta-rule and splitting (2571), into two cases.
% 244.23/186.46 |-Branch one:
% 244.23/186.46 | (358) xk = sz00
% 244.23/186.46 |
% 244.23/186.46 | Equations (358) can reduce 48 to:
% 244.23/186.46 | (339) $false
% 244.23/186.46 |
% 244.23/186.46 |-The branch is then unsatisfiable
% 244.23/186.46 |-Branch two:
% 244.23/186.46 | (48) ~ (xk = sz00)
% 244.23/186.46 | (2575) all_0_10_10 = 0 | ? [v0] : ? [v1] : (aNaturalNumber0(xk) = v0 & aNaturalNumber0(xp) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 244.23/186.46 |
% 244.23/186.46 +-Applying beta-rule and splitting (2575), into two cases.
% 244.23/186.46 |-Branch one:
% 244.23/186.46 | (338) all_0_10_10 = 0
% 244.23/186.46 |
% 244.23/186.46 | Equations (338) can reduce 42 to:
% 244.23/186.46 | (339) $false
% 244.23/186.46 |
% 244.23/186.46 |-The branch is then unsatisfiable
% 244.23/186.46 |-Branch two:
% 244.23/186.46 | (42) ~ (all_0_10_10 = 0)
% 244.23/186.46 | (2579) ? [v0] : ? [v1] : (aNaturalNumber0(xk) = v0 & aNaturalNumber0(xp) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 244.23/186.46 |
% 244.23/186.46 | Instantiating (2579) with all_265_0_1039, all_265_1_1040 yields:
% 244.23/186.46 | (2580) aNaturalNumber0(xk) = all_265_1_1040 & aNaturalNumber0(xp) = all_265_0_1039 & ( ~ (all_265_0_1039 = 0) | ~ (all_265_1_1040 = 0))
% 244.23/186.46 |
% 244.23/186.46 | Applying alpha-rule on (2580) yields:
% 244.23/186.46 | (2581) aNaturalNumber0(xk) = all_265_1_1040
% 244.23/186.46 | (2582) aNaturalNumber0(xp) = all_265_0_1039
% 244.23/186.46 | (2583) ~ (all_265_0_1039 = 0) | ~ (all_265_1_1040 = 0)
% 244.23/186.46 |
% 244.23/186.46 | Instantiating formula (31) with xk, all_265_1_1040, 0 and discharging atoms aNaturalNumber0(xk) = all_265_1_1040, aNaturalNumber0(xk) = 0, yields:
% 244.23/186.46 | (2584) all_265_1_1040 = 0
% 244.23/186.46 |
% 244.23/186.46 | Instantiating formula (31) with xp, all_265_0_1039, 0 and discharging atoms aNaturalNumber0(xp) = all_265_0_1039, aNaturalNumber0(xp) = 0, yields:
% 244.23/186.46 | (2585) all_265_0_1039 = 0
% 244.23/186.46 |
% 244.23/186.46 +-Applying beta-rule and splitting (2583), into two cases.
% 244.23/186.46 |-Branch one:
% 244.23/186.46 | (2586) ~ (all_265_0_1039 = 0)
% 244.23/186.46 |
% 244.23/186.47 | Equations (2585) can reduce 2586 to:
% 244.23/186.47 | (339) $false
% 244.23/186.47 |
% 244.23/186.47 |-The branch is then unsatisfiable
% 244.23/186.47 |-Branch two:
% 244.23/186.47 | (2585) all_265_0_1039 = 0
% 244.23/186.47 | (2589) ~ (all_265_1_1040 = 0)
% 244.23/186.47 |
% 244.23/186.47 | Equations (2584) can reduce 2589 to:
% 244.23/186.47 | (339) $false
% 244.23/186.47 |
% 244.23/186.47 |-The branch is then unsatisfiable
% 244.23/186.47 |-Branch two:
% 244.23/186.47 | (2591) aNaturalNumber0(xp) = all_57_1_129 & aNaturalNumber0(xm) = all_57_2_130 & ( ~ (all_57_1_129 = 0) | ~ (all_57_2_130 = 0))
% 244.23/186.47 |
% 244.23/186.47 | Applying alpha-rule on (2591) yields:
% 244.23/186.47 | (2592) aNaturalNumber0(xp) = all_57_1_129
% 244.23/186.47 | (2593) aNaturalNumber0(xm) = all_57_2_130
% 244.23/186.47 | (2594) ~ (all_57_1_129 = 0) | ~ (all_57_2_130 = 0)
% 244.23/186.47 |
% 244.23/186.47 | Instantiating formula (31) with xp, all_57_1_129, 0 and discharging atoms aNaturalNumber0(xp) = all_57_1_129, aNaturalNumber0(xp) = 0, yields:
% 244.23/186.47 | (719) all_57_1_129 = 0
% 244.23/186.47 |
% 244.23/186.47 | Instantiating formula (31) with xm, all_57_2_130, 0 and discharging atoms aNaturalNumber0(xm) = all_57_2_130, aNaturalNumber0(xm) = 0, yields:
% 244.23/186.47 | (2596) all_57_2_130 = 0
% 244.23/186.47 |
% 244.23/186.47 +-Applying beta-rule and splitting (2594), into two cases.
% 244.23/186.47 |-Branch one:
% 244.23/186.47 | (2597) ~ (all_57_1_129 = 0)
% 244.23/186.47 |
% 244.23/186.47 | Equations (719) can reduce 2597 to:
% 244.23/186.47 | (339) $false
% 244.23/186.47 |
% 244.23/186.47 |-The branch is then unsatisfiable
% 244.23/186.47 |-Branch two:
% 244.23/186.47 | (719) all_57_1_129 = 0
% 244.23/186.47 | (2600) ~ (all_57_2_130 = 0)
% 244.23/186.47 |
% 244.23/186.47 | Equations (2596) can reduce 2600 to:
% 244.23/186.47 | (339) $false
% 244.23/186.47 |
% 244.23/186.47 |-The branch is then unsatisfiable
% 244.23/186.47 |-Branch two:
% 244.23/186.47 | (2602) sdtpldt0(xp, all_0_6_6) = xm
% 244.23/186.47 | (2603) all_0_10_10 = 0 | ? [v0] : ? [v1] : (( ~ (v0 = 0) & aNaturalNumber0(all_0_6_6) = v0) | (aNaturalNumber0(xp) = v0 & aNaturalNumber0(xm) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0))))
% 244.23/186.47 |
% 244.23/186.47 +-Applying beta-rule and splitting (151), into two cases.
% 244.23/186.47 |-Branch one:
% 244.23/186.47 | (698) ~ (sdtpldt0(xp, all_0_6_6) = xm)
% 244.23/186.47 |
% 244.23/186.47 | Using (2602) and (698) yields:
% 244.23/186.47 | (728) $false
% 244.23/186.47 |
% 244.23/186.47 |-The branch is then unsatisfiable
% 244.23/186.47 |-Branch two:
% 244.23/186.47 | (2602) sdtpldt0(xp, all_0_6_6) = xm
% 244.23/186.47 | (2607) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(all_0_6_6, all_0_2_2) = v3 & sdtpldt0(xp, v3) = v4 & aNaturalNumber0(all_0_2_2) = v2 & aNaturalNumber0(all_0_6_6) = v1 & aNaturalNumber0(xp) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = xp))
% 244.23/186.47 |
% 244.23/186.47 | Instantiating (2607) with all_289_0_1074, all_289_1_1075, all_289_2_1076, all_289_3_1077, all_289_4_1078 yields:
% 244.23/186.47 | (2608) sdtpldt0(all_0_6_6, all_0_2_2) = all_289_1_1075 & sdtpldt0(xp, all_289_1_1075) = all_289_0_1074 & aNaturalNumber0(all_0_2_2) = all_289_2_1076 & aNaturalNumber0(all_0_6_6) = all_289_3_1077 & aNaturalNumber0(xp) = all_289_4_1078 & ( ~ (all_289_2_1076 = 0) | ~ (all_289_3_1077 = 0) | ~ (all_289_4_1078 = 0) | all_289_0_1074 = xp)
% 244.23/186.47 |
% 244.23/186.47 | Applying alpha-rule on (2608) yields:
% 244.23/186.47 | (2609) sdtpldt0(all_0_6_6, all_0_2_2) = all_289_1_1075
% 244.23/186.47 | (2610) aNaturalNumber0(all_0_2_2) = all_289_2_1076
% 244.23/186.47 | (2611) ~ (all_289_2_1076 = 0) | ~ (all_289_3_1077 = 0) | ~ (all_289_4_1078 = 0) | all_289_0_1074 = xp
% 244.23/186.47 | (2612) aNaturalNumber0(all_0_6_6) = all_289_3_1077
% 244.23/186.47 | (2613) sdtpldt0(xp, all_289_1_1075) = all_289_0_1074
% 244.23/186.47 | (2614) aNaturalNumber0(xp) = all_289_4_1078
% 244.23/186.47 |
% 244.23/186.47 +-Applying beta-rule and splitting (150), into two cases.
% 244.23/186.47 |-Branch one:
% 244.23/186.47 | (698) ~ (sdtpldt0(xp, all_0_6_6) = xm)
% 244.23/186.47 |
% 244.23/186.47 | Using (2602) and (698) yields:
% 244.23/186.47 | (728) $false
% 244.23/186.47 |
% 244.23/186.47 |-The branch is then unsatisfiable
% 244.23/186.47 |-Branch two:
% 244.23/186.47 | (2602) sdtpldt0(xp, all_0_6_6) = xm
% 244.23/186.47 | (2618) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (isPrime0(all_0_2_2) = v3 & doDivides0(all_0_2_2, v4) = v5 & doDivides0(all_0_2_2, all_0_6_6) = v8 & doDivides0(all_0_2_2, xp) = v7 & iLess0(xp, all_0_13_13) = v6 & sdtasdt0(xp, all_0_6_6) = v4 & aNaturalNumber0(all_0_2_2) = v2 & aNaturalNumber0(all_0_6_6) = v1 & aNaturalNumber0(xp) = v0 & ( ~ (v6 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v11 = all_0_6_6 & v10 = 0 & v8 = 0 & sdtasdt0(all_0_2_2, v9) = all_0_6_6 & aNaturalNumber0(v9) = 0) | (v11 = xp & v10 = 0 & v7 = 0 & sdtasdt0(all_0_2_2, v9) = xp & aNaturalNumber0(v9) = 0) | ( ~ (v5 = 0) & ! [v15] : ( ~ (sdtasdt0(all_0_2_2, v15) = v4) | ? [v16] : ( ~ (v16 = 0) & aNaturalNumber0(v15) = v16))) | ( ~ (v3 = 0) & (all_0_2_2 = sz10 | all_0_2_2 = sz00 | (v14 = all_0_2_2 & v13 = 0 & v11 = 0 & v10 = 0 & ~ (v9 = all_0_2_2) & ~ (v9 = sz10) & doDivides0(v9, all_0_2_2) = 0 & sdtasdt0(v9, v12) = all_0_2_2 & aNaturalNumber0(v12) = 0 & aNaturalNumber0(v9) = 0)))))
% 244.23/186.47 |
% 244.23/186.47 | Instantiating (2618) with all_298_0_1079, all_298_1_1080, all_298_2_1081, all_298_3_1082, all_298_4_1083, all_298_5_1084, all_298_6_1085, all_298_7_1086, all_298_8_1087, all_298_9_1088, all_298_10_1089, all_298_11_1090, all_298_12_1091, all_298_13_1092, all_298_14_1093 yields:
% 244.23/186.47 | (2619) isPrime0(all_0_2_2) = all_298_11_1090 & doDivides0(all_0_2_2, all_298_10_1089) = all_298_9_1088 & doDivides0(all_0_2_2, all_0_6_6) = all_298_6_1085 & doDivides0(all_0_2_2, xp) = all_298_7_1086 & iLess0(xp, all_0_13_13) = all_298_8_1087 & sdtasdt0(xp, all_0_6_6) = all_298_10_1089 & aNaturalNumber0(all_0_2_2) = all_298_12_1091 & aNaturalNumber0(all_0_6_6) = all_298_13_1092 & aNaturalNumber0(xp) = all_298_14_1093 & ( ~ (all_298_8_1087 = 0) | ~ (all_298_12_1091 = 0) | ~ (all_298_13_1092 = 0) | ~ (all_298_14_1093 = 0) | (all_298_3_1082 = all_0_6_6 & all_298_4_1083 = 0 & all_298_6_1085 = 0 & sdtasdt0(all_0_2_2, all_298_5_1084) = all_0_6_6 & aNaturalNumber0(all_298_5_1084) = 0) | (all_298_3_1082 = xp & all_298_4_1083 = 0 & all_298_7_1086 = 0 & sdtasdt0(all_0_2_2, all_298_5_1084) = xp & aNaturalNumber0(all_298_5_1084) = 0) | ( ~ (all_298_9_1088 = 0) & ! [v0] : ( ~ (sdtasdt0(all_0_2_2, v0) = all_298_10_1089) | ? [v1] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1))) | ( ~ (all_298_11_1090 = 0) & (all_0_2_2 = sz10 | all_0_2_2 = sz00 | (all_298_0_1079 = all_0_2_2 & all_298_1_1080 = 0 & all_298_3_1082 = 0 & all_298_4_1083 = 0 & ~ (all_298_5_1084 = all_0_2_2) & ~ (all_298_5_1084 = sz10) & doDivides0(all_298_5_1084, all_0_2_2) = 0 & sdtasdt0(all_298_5_1084, all_298_2_1081) = all_0_2_2 & aNaturalNumber0(all_298_2_1081) = 0 & aNaturalNumber0(all_298_5_1084) = 0))))
% 244.23/186.47 |
% 244.23/186.47 | Applying alpha-rule on (2619) yields:
% 244.23/186.47 | (2620) aNaturalNumber0(all_0_2_2) = all_298_12_1091
% 244.23/186.47 | (2621) doDivides0(all_0_2_2, xp) = all_298_7_1086
% 244.23/186.47 | (2622) isPrime0(all_0_2_2) = all_298_11_1090
% 244.23/186.47 | (2623) iLess0(xp, all_0_13_13) = all_298_8_1087
% 244.23/186.47 | (2624) sdtasdt0(xp, all_0_6_6) = all_298_10_1089
% 244.23/186.47 | (2625) doDivides0(all_0_2_2, all_298_10_1089) = all_298_9_1088
% 244.23/186.47 | (2626) ~ (all_298_8_1087 = 0) | ~ (all_298_12_1091 = 0) | ~ (all_298_13_1092 = 0) | ~ (all_298_14_1093 = 0) | (all_298_3_1082 = all_0_6_6 & all_298_4_1083 = 0 & all_298_6_1085 = 0 & sdtasdt0(all_0_2_2, all_298_5_1084) = all_0_6_6 & aNaturalNumber0(all_298_5_1084) = 0) | (all_298_3_1082 = xp & all_298_4_1083 = 0 & all_298_7_1086 = 0 & sdtasdt0(all_0_2_2, all_298_5_1084) = xp & aNaturalNumber0(all_298_5_1084) = 0) | ( ~ (all_298_9_1088 = 0) & ! [v0] : ( ~ (sdtasdt0(all_0_2_2, v0) = all_298_10_1089) | ? [v1] : ( ~ (v1 = 0) & aNaturalNumber0(v0) = v1))) | ( ~ (all_298_11_1090 = 0) & (all_0_2_2 = sz10 | all_0_2_2 = sz00 | (all_298_0_1079 = all_0_2_2 & all_298_1_1080 = 0 & all_298_3_1082 = 0 & all_298_4_1083 = 0 & ~ (all_298_5_1084 = all_0_2_2) & ~ (all_298_5_1084 = sz10) & doDivides0(all_298_5_1084, all_0_2_2) = 0 & sdtasdt0(all_298_5_1084, all_298_2_1081) = all_0_2_2 & aNaturalNumber0(all_298_2_1081) = 0 & aNaturalNumber0(all_298_5_1084) = 0)))
% 244.23/186.47 | (2627) doDivides0(all_0_2_2, all_0_6_6) = all_298_6_1085
% 244.23/186.47 | (2628) aNaturalNumber0(xp) = all_298_14_1093
% 244.23/186.47 | (2629) aNaturalNumber0(all_0_6_6) = all_298_13_1092
% 244.23/186.47 |
% 244.23/186.47 +-Applying beta-rule and splitting (148), into two cases.
% 244.23/186.47 |-Branch one:
% 244.23/186.47 | (698) ~ (sdtpldt0(xp, all_0_6_6) = xm)
% 244.23/186.47 |
% 244.23/186.47 | Using (2602) and (698) yields:
% 244.23/186.47 | (728) $false
% 244.23/186.47 |
% 244.23/186.47 |-The branch is then unsatisfiable
% 244.23/186.47 |-Branch two:
% 244.23/186.47 | (2602) sdtpldt0(xp, all_0_6_6) = xm
% 244.23/186.47 | (2633) ? [v0] : ( ~ (v0 = 0) & aNaturalNumber0(all_0_6_6) = v0)
% 244.23/186.48 |
% 244.23/186.48 | Instantiating (2633) with all_340_0_1095 yields:
% 244.23/186.48 | (2634) ~ (all_340_0_1095 = 0) & aNaturalNumber0(all_0_6_6) = all_340_0_1095
% 244.23/186.48 |
% 244.23/186.48 | Applying alpha-rule on (2634) yields:
% 244.23/186.48 | (2635) ~ (all_340_0_1095 = 0)
% 244.23/186.48 | (2636) aNaturalNumber0(all_0_6_6) = all_340_0_1095
% 244.23/186.48 |
% 244.23/186.48 | Instantiating formula (31) with all_0_6_6, all_298_13_1092, 0 and discharging atoms aNaturalNumber0(all_0_6_6) = all_298_13_1092, aNaturalNumber0(all_0_6_6) = 0, yields:
% 244.23/186.48 | (2637) all_298_13_1092 = 0
% 244.23/186.48 |
% 244.23/186.48 | Instantiating formula (31) with all_0_6_6, all_298_13_1092, all_340_0_1095 and discharging atoms aNaturalNumber0(all_0_6_6) = all_340_0_1095, aNaturalNumber0(all_0_6_6) = all_298_13_1092, yields:
% 244.23/186.48 | (2638) all_340_0_1095 = all_298_13_1092
% 244.23/186.48 |
% 244.23/186.48 | Instantiating formula (31) with all_0_6_6, all_289_3_1077, all_340_0_1095 and discharging atoms aNaturalNumber0(all_0_6_6) = all_340_0_1095, aNaturalNumber0(all_0_6_6) = all_289_3_1077, yields:
% 244.23/186.48 | (2639) all_340_0_1095 = all_289_3_1077
% 244.23/186.48 |
% 244.23/186.48 | Combining equations (2638,2639) yields a new equation:
% 244.23/186.48 | (2640) all_298_13_1092 = all_289_3_1077
% 244.23/186.48 |
% 244.23/186.48 | Simplifying 2640 yields:
% 244.23/186.48 | (2641) all_298_13_1092 = all_289_3_1077
% 244.23/186.48 |
% 244.23/186.48 | Combining equations (2637,2641) yields a new equation:
% 244.23/186.48 | (2642) all_289_3_1077 = 0
% 244.23/186.48 |
% 244.23/186.48 | Combining equations (2642,2639) yields a new equation:
% 244.23/186.48 | (2643) all_340_0_1095 = 0
% 244.23/186.48 |
% 244.23/186.48 | Equations (2643) can reduce 2635 to:
% 244.23/186.48 | (339) $false
% 244.23/186.48 |
% 244.23/186.48 |-The branch is then unsatisfiable
% 244.23/186.48 |-Branch two:
% 244.23/186.48 | (2645) aNaturalNumber0(xr) = all_53_2_109 & aNaturalNumber0(xk) = all_53_1_108 & ( ~ (all_53_1_108 = 0) | ~ (all_53_2_109 = 0))
% 244.23/186.48 |
% 244.23/186.48 | Applying alpha-rule on (2645) yields:
% 244.23/186.48 | (2646) aNaturalNumber0(xr) = all_53_2_109
% 244.23/186.48 | (2647) aNaturalNumber0(xk) = all_53_1_108
% 244.23/186.48 | (2648) ~ (all_53_1_108 = 0) | ~ (all_53_2_109 = 0)
% 244.23/186.48 |
% 244.23/186.48 +-Applying beta-rule and splitting (394), into two cases.
% 244.23/186.48 |-Branch one:
% 244.23/186.48 | (727) ~ (doDivides0(xp, all_0_12_12) = all_55_9_122)
% 244.23/186.48 |
% 244.23/186.48 | Using (606) and (727) yields:
% 244.23/186.48 | (728) $false
% 244.23/186.48 |
% 244.23/186.48 |-The branch is then unsatisfiable
% 244.23/186.48 |-Branch two:
% 244.23/186.48 | (606) doDivides0(xp, all_0_12_12) = all_55_9_122
% 244.23/186.48 | (730) all_55_9_122 = 0
% 244.23/186.48 |
% 244.23/186.48 | From (730) and (606) follows:
% 244.23/186.48 | (86) doDivides0(xp, all_0_12_12) = 0
% 244.23/186.48 |
% 244.23/186.48 +-Applying beta-rule and splitting (126), into two cases.
% 244.23/186.48 |-Branch one:
% 244.23/186.48 | (371) xp = sz00
% 244.23/186.48 |
% 244.23/186.48 | Equations (371) can reduce 40 to:
% 244.23/186.48 | (339) $false
% 244.23/186.48 |
% 244.23/186.48 |-The branch is then unsatisfiable
% 244.23/186.48 |-Branch two:
% 244.23/186.48 | (40) ~ (xp = sz00)
% 244.23/186.48 | (2657) all_0_0_0 = xk | ? [v0] : ? [v1] : ? [v2] : (( ~ (v0 = 0) & aNaturalNumber0(all_0_0_0) = v0) | (doDivides0(xp, all_0_12_12) = v2 & aNaturalNumber0(all_0_12_12) = v1 & aNaturalNumber0(xp) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))))
% 244.23/186.48 |
% 244.23/186.48 +-Applying beta-rule and splitting (2657), into two cases.
% 244.23/186.48 |-Branch one:
% 244.23/186.48 | (741) all_0_0_0 = xk
% 244.23/186.48 |
% 244.23/186.48 | From (741) and (81) follows:
% 244.23/186.48 | (36) aNaturalNumber0(xk) = 0
% 244.23/186.48 |
% 244.23/186.48 | Instantiating formula (31) with xr, all_53_2_109, 0 and discharging atoms aNaturalNumber0(xr) = all_53_2_109, aNaturalNumber0(xr) = 0, yields:
% 244.23/186.48 | (2660) all_53_2_109 = 0
% 244.23/186.48 |
% 244.23/186.48 | Instantiating formula (31) with xk, all_53_1_108, 0 and discharging atoms aNaturalNumber0(xk) = all_53_1_108, aNaturalNumber0(xk) = 0, yields:
% 244.23/186.48 | (661) all_53_1_108 = 0
% 244.23/186.48 |
% 244.23/186.48 +-Applying beta-rule and splitting (2648), into two cases.
% 244.23/186.48 |-Branch one:
% 244.23/186.48 | (2662) ~ (all_53_1_108 = 0)
% 244.23/186.48 |
% 244.23/186.48 | Equations (661) can reduce 2662 to:
% 244.23/186.48 | (339) $false
% 244.23/186.48 |
% 244.23/186.48 |-The branch is then unsatisfiable
% 244.23/186.48 |-Branch two:
% 244.23/186.48 | (661) all_53_1_108 = 0
% 244.23/186.48 | (2665) ~ (all_53_2_109 = 0)
% 244.23/186.48 |
% 244.23/186.48 | Equations (2660) can reduce 2665 to:
% 244.23/186.48 | (339) $false
% 244.23/186.48 |
% 244.23/186.48 |-The branch is then unsatisfiable
% 244.23/186.48 |-Branch two:
% 244.23/186.48 | (2555) ~ (all_0_0_0 = xk)
% 244.23/186.48 | (2668) ? [v0] : ? [v1] : ? [v2] : (( ~ (v0 = 0) & aNaturalNumber0(all_0_0_0) = v0) | (doDivides0(xp, all_0_12_12) = v2 & aNaturalNumber0(all_0_12_12) = v1 & aNaturalNumber0(xp) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))))
% 244.23/186.48 |
% 244.23/186.48 | Instantiating (2668) with all_333_0_1101, all_333_1_1102, all_333_2_1103 yields:
% 244.23/186.48 | (2669) ( ~ (all_333_2_1103 = 0) & aNaturalNumber0(all_0_0_0) = all_333_2_1103) | (doDivides0(xp, all_0_12_12) = all_333_0_1101 & aNaturalNumber0(all_0_12_12) = all_333_1_1102 & aNaturalNumber0(xp) = all_333_2_1103 & ( ~ (all_333_0_1101 = 0) | ~ (all_333_1_1102 = 0) | ~ (all_333_2_1103 = 0)))
% 244.23/186.48 |
% 244.23/186.48 +-Applying beta-rule and splitting (2669), into two cases.
% 244.23/186.48 |-Branch one:
% 244.23/186.48 | (2670) ~ (all_333_2_1103 = 0) & aNaturalNumber0(all_0_0_0) = all_333_2_1103
% 244.23/186.48 |
% 244.23/186.48 | Applying alpha-rule on (2670) yields:
% 244.23/186.48 | (2671) ~ (all_333_2_1103 = 0)
% 244.23/186.48 | (2672) aNaturalNumber0(all_0_0_0) = all_333_2_1103
% 244.23/186.48 |
% 244.23/186.48 | Instantiating formula (31) with all_0_0_0, all_333_2_1103, 0 and discharging atoms aNaturalNumber0(all_0_0_0) = all_333_2_1103, aNaturalNumber0(all_0_0_0) = 0, yields:
% 244.23/186.48 | (2673) all_333_2_1103 = 0
% 244.23/186.48 |
% 244.23/186.48 | Equations (2673) can reduce 2671 to:
% 244.23/186.48 | (339) $false
% 244.23/186.48 |
% 244.23/186.48 |-The branch is then unsatisfiable
% 244.23/186.48 |-Branch two:
% 244.23/186.48 | (2675) doDivides0(xp, all_0_12_12) = all_333_0_1101 & aNaturalNumber0(all_0_12_12) = all_333_1_1102 & aNaturalNumber0(xp) = all_333_2_1103 & ( ~ (all_333_0_1101 = 0) | ~ (all_333_1_1102 = 0) | ~ (all_333_2_1103 = 0))
% 244.23/186.48 |
% 244.23/186.48 | Applying alpha-rule on (2675) yields:
% 244.23/186.48 | (2676) doDivides0(xp, all_0_12_12) = all_333_0_1101
% 244.23/186.48 | (2677) aNaturalNumber0(all_0_12_12) = all_333_1_1102
% 244.23/186.48 | (2678) aNaturalNumber0(xp) = all_333_2_1103
% 244.23/186.48 | (2679) ~ (all_333_0_1101 = 0) | ~ (all_333_1_1102 = 0) | ~ (all_333_2_1103 = 0)
% 244.23/186.48 |
% 244.23/186.48 | Instantiating formula (112) with xp, all_0_12_12, all_333_0_1101, 0 and discharging atoms doDivides0(xp, all_0_12_12) = all_333_0_1101, doDivides0(xp, all_0_12_12) = 0, yields:
% 244.23/186.48 | (2680) all_333_0_1101 = 0
% 244.23/186.48 |
% 244.23/186.48 | Instantiating formula (31) with all_0_12_12, all_333_1_1102, 0 and discharging atoms aNaturalNumber0(all_0_12_12) = all_333_1_1102, aNaturalNumber0(all_0_12_12) = 0, yields:
% 244.23/186.48 | (2681) all_333_1_1102 = 0
% 244.23/186.48 |
% 244.23/186.48 | Instantiating formula (31) with xp, all_333_2_1103, 0 and discharging atoms aNaturalNumber0(xp) = all_333_2_1103, aNaturalNumber0(xp) = 0, yields:
% 244.23/186.48 | (2673) all_333_2_1103 = 0
% 244.23/186.48 |
% 244.23/186.48 +-Applying beta-rule and splitting (2679), into two cases.
% 244.23/186.48 |-Branch one:
% 244.23/186.48 | (2683) ~ (all_333_0_1101 = 0)
% 244.23/186.48 |
% 244.23/186.48 | Equations (2680) can reduce 2683 to:
% 244.23/186.48 | (339) $false
% 244.23/186.48 |
% 244.23/186.48 |-The branch is then unsatisfiable
% 244.23/186.48 |-Branch two:
% 244.23/186.48 | (2680) all_333_0_1101 = 0
% 244.23/186.48 | (2686) ~ (all_333_1_1102 = 0) | ~ (all_333_2_1103 = 0)
% 244.23/186.48 |
% 244.23/186.48 +-Applying beta-rule and splitting (2686), into two cases.
% 244.23/186.48 |-Branch one:
% 244.23/186.48 | (2687) ~ (all_333_1_1102 = 0)
% 244.23/186.48 |
% 244.23/186.48 | Equations (2681) can reduce 2687 to:
% 244.23/186.48 | (339) $false
% 244.23/186.48 |
% 244.23/186.48 |-The branch is then unsatisfiable
% 244.23/186.48 |-Branch two:
% 244.23/186.48 | (2681) all_333_1_1102 = 0
% 244.23/186.48 | (2671) ~ (all_333_2_1103 = 0)
% 244.23/186.48 |
% 244.23/186.48 | Equations (2673) can reduce 2671 to:
% 244.23/186.48 | (339) $false
% 244.23/186.48 |
% 244.23/186.48 |-The branch is then unsatisfiable
% 244.23/186.48 |-Branch two:
% 244.23/186.48 | (1701) all_77_0_164 = 0
% 244.23/186.48 | (2693) ~ (all_77_1_165 = 0) | ~ (all_77_2_166 = 0) | ~ (all_77_3_167 = 0)
% 244.23/186.48 |
% 244.23/186.48 +-Applying beta-rule and splitting (2693), into two cases.
% 244.23/186.48 |-Branch one:
% 244.23/186.48 | (2694) ~ (all_77_1_165 = 0)
% 244.23/186.48 |
% 244.23/186.49 | Equations (604) can reduce 2694 to:
% 244.23/186.49 | (339) $false
% 244.23/186.49 |
% 244.23/186.49 |-The branch is then unsatisfiable
% 244.23/186.49 |-Branch two:
% 244.23/186.49 | (604) all_77_1_165 = 0
% 244.23/186.49 | (2697) ~ (all_77_2_166 = 0) | ~ (all_77_3_167 = 0)
% 244.23/186.49 |
% 244.23/186.49 +-Applying beta-rule and splitting (2697), into two cases.
% 244.23/186.49 |-Branch one:
% 244.23/186.49 | (2698) ~ (all_77_2_166 = 0)
% 244.23/186.49 |
% 244.23/186.49 | Equations (603) can reduce 2698 to:
% 244.23/186.49 | (339) $false
% 244.23/186.49 |
% 244.23/186.49 |-The branch is then unsatisfiable
% 244.23/186.49 |-Branch two:
% 244.23/186.49 | (603) all_77_2_166 = 0
% 244.23/186.49 | (2701) ~ (all_77_3_167 = 0)
% 244.23/186.49 |
% 244.23/186.49 | Equations (602) can reduce 2701 to:
% 244.23/186.49 | (339) $false
% 244.23/186.49 |
% 244.23/186.49 |-The branch is then unsatisfiable
% 244.23/186.49 % SZS output end Proof for theBenchmark
% 244.23/186.49
% 244.23/186.49 185880ms
%------------------------------------------------------------------------------