TSTP Solution File: NUM516+3 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : NUM516+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 08:45:22 EDT 2022
% Result : Theorem 11.59s 3.35s
% Output : Proof 171.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM516+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jul 5 14:46:45 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.61/0.60 ____ _
% 0.61/0.60 ___ / __ \_____(_)___ ________ __________
% 0.61/0.60 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.61/0.60 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.61/0.60 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.61/0.60
% 0.61/0.60 A Theorem Prover for First-Order Logic
% 0.61/0.60 (ePrincess v.1.0)
% 0.61/0.60
% 0.61/0.60 (c) Philipp Rümmer, 2009-2015
% 0.61/0.60 (c) Peter Backeman, 2014-2015
% 0.61/0.60 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.61/0.60 Free software under GNU Lesser General Public License (LGPL).
% 0.61/0.60 Bug reports to peter@backeman.se
% 0.61/0.60
% 0.61/0.60 For more information, visit http://user.uu.se/~petba168/breu/
% 0.61/0.60
% 0.61/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.69/0.68 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.93/1.08 Prover 0: Preprocessing ...
% 4.01/1.60 Prover 0: Constructing countermodel ...
% 11.59/3.34 Prover 0: proved (2663ms)
% 11.59/3.35
% 11.59/3.35 No countermodel exists, formula is valid
% 11.59/3.35 % SZS status Theorem for theBenchmark
% 11.59/3.35
% 11.59/3.35 Generating proof ... found it (size 816)
% 170.48/143.89
% 170.48/143.89 % SZS output start Proof for theBenchmark
% 170.48/143.89 Assumed formulas after preprocessing and simplification:
% 170.48/143.89 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ( ~ (v3 = xn) & ~ (xr = sz10) & ~ (xr = sz00) & ~ (xk = xp) & ~ (xk = sz10) & ~ (xk = sz00) & ~ (xp = xm) & ~ (xp = xn) & ~ (xp = sz10) & ~ (xp = sz00) & ~ (sz10 = sz00) & sdtsldt0(v2, xp) = xk & sdtsldt0(xn, xr) = v3 & sdtasdt0(v3, xm) = v4 & sdtasdt0(xr, v15) = xk & sdtasdt0(xr, v13) = v2 & sdtasdt0(xr, v9) = xn & sdtasdt0(xr, v3) = xn & sdtasdt0(xp, v18) = v2 & sdtasdt0(xp, v7) = v4 & sdtasdt0(xp, xk) = v2 & sdtasdt0(xn, xm) = v2 & sdtpldt0(v5, xp) = v6 & sdtpldt0(v3, v8) = xn & sdtpldt0(v3, xm) = v5 & sdtpldt0(v0, xp) = v1 & sdtpldt0(xr, v14) = xk & sdtpldt0(xk, v12) = xp & sdtpldt0(xm, v16) = xp & sdtpldt0(xn, v17) = xp & sdtpldt0(xn, xm) = v0 & isPrime0(xr) & isPrime0(xp) & doDivides0(xr, v2) & doDivides0(xr, xk) & doDivides0(xr, xn) & doDivides0(xp, v4) & doDivides0(xp, v2) & sdtlseqdt0(v3, xn) & sdtlseqdt0(xk, xp) & sdtlseqdt0(xm, xp) & sdtlseqdt0(xn, xp) & aNaturalNumber0(v18) & aNaturalNumber0(v17) & aNaturalNumber0(v16) & aNaturalNumber0(v15) & aNaturalNumber0(v14) & aNaturalNumber0(v13) & aNaturalNumber0(v12) & aNaturalNumber0(v9) & aNaturalNumber0(v8) & aNaturalNumber0(v7) & aNaturalNumber0(v3) & aNaturalNumber0(xr) & aNaturalNumber0(xk) & aNaturalNumber0(xp) & aNaturalNumber0(xm) & aNaturalNumber0(xn) & aNaturalNumber0(sz10) & aNaturalNumber0(sz00) & ~ isPrime0(sz10) & ~ isPrime0(sz00) & ~ sdtlseqdt0(xp, xm) & ~ sdtlseqdt0(xp, xn) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v19 = sz00 | ~ (sdtsldt0(v23, v19) = v24) | ~ (sdtsldt0(v20, v19) = v21) | ~ (sdtasdt0(v22, v20) = v23) | ~ doDivides0(v19, v20) | ~ aNaturalNumber0(v22) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19) | sdtasdt0(v22, v21) = v24) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (sdtasdt0(v21, v19) = v23) | ~ (sdtasdt0(v20, v19) = v22) | ~ (sdtpldt0(v22, v23) = v24) | ~ aNaturalNumber0(v21) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19) | ? [v25] : ? [v26] : ? [v27] : ? [v28] : (sdtasdt0(v25, v19) = v24 & sdtasdt0(v19, v25) = v26 & sdtasdt0(v19, v21) = v28 & sdtasdt0(v19, v20) = v27 & sdtpldt0(v27, v28) = v26 & sdtpldt0(v20, v21) = v25)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (sdtasdt0(v19, v21) = v23) | ~ (sdtasdt0(v19, v20) = v22) | ~ (sdtpldt0(v22, v23) = v24) | ~ aNaturalNumber0(v21) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19) | ? [v25] : ? [v26] : ? [v27] : ? [v28] : (sdtasdt0(v25, v19) = v26 & sdtasdt0(v21, v19) = v28 & sdtasdt0(v20, v19) = v27 & sdtasdt0(v19, v25) = v24 & sdtpldt0(v27, v28) = v26 & sdtpldt0(v20, v21) = v25)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v20 | v19 = sz00 | ~ (sdtasdt0(v21, v19) = v23) | ~ (sdtasdt0(v20, v19) = v22) | ~ sdtlseqdt0(v20, v21) | ~ aNaturalNumber0(v21) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19) | sdtlseqdt0(v22, v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v20 | v19 = sz00 | ~ (sdtasdt0(v21, v19) = v23) | ~ (sdtasdt0(v20, v19) = v22) | ~ sdtlseqdt0(v20, v21) | ~ aNaturalNumber0(v21) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19) | ? [v24] : ? [v25] : ( ~ (v25 = v24) & sdtasdt0(v19, v21) = v25 & sdtasdt0(v19, v20) = v24 & sdtlseqdt0(v24, v25))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v20 | v19 = sz00 | ~ (sdtasdt0(v21, v19) = v23) | ~ (sdtasdt0(v20, v19) = v22) | ~ aNaturalNumber0(v21) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19) | ? [v24] : ? [v25] : ( ~ (v25 = v24) & sdtasdt0(v19, v21) = v25 & sdtasdt0(v19, v20) = v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v20 | v19 = sz00 | ~ (sdtasdt0(v21, v19) = v23) | ~ (sdtasdt0(v19, v20) = v22) | ~ sdtlseqdt0(v20, v21) | ~ aNaturalNumber0(v21) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19) | ? [v24] : ? [v25] : ( ~ (v25 = v23) & ~ (v24 = v22) & sdtasdt0(v20, v19) = v25 & sdtasdt0(v19, v21) = v24 & sdtlseqdt0(v25, v23) & sdtlseqdt0(v22, v24))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v20 | v19 = sz00 | ~ (sdtasdt0(v21, v19) = v23) | ~ (sdtasdt0(v19, v20) = v22) | ~ aNaturalNumber0(v21) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19) | ? [v24] : ? [v25] : ( ~ (v25 = v23) & ~ (v24 = v22) & sdtasdt0(v20, v19) = v25 & sdtasdt0(v19, v21) = v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v20 | v19 = sz00 | ~ (sdtasdt0(v20, v19) = v23) | ~ (sdtasdt0(v19, v21) = v22) | ~ sdtlseqdt0(v20, v21) | ~ aNaturalNumber0(v21) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19) | ? [v24] : ? [v25] : ( ~ (v25 = v23) & ~ (v24 = v22) & sdtasdt0(v21, v19) = v25 & sdtasdt0(v19, v20) = v24 & sdtlseqdt0(v24, v22) & sdtlseqdt0(v23, v25))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v20 | v19 = sz00 | ~ (sdtasdt0(v20, v19) = v23) | ~ (sdtasdt0(v19, v21) = v22) | ~ aNaturalNumber0(v21) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19) | ? [v24] : ? [v25] : ( ~ (v25 = v23) & ~ (v24 = v22) & sdtasdt0(v21, v19) = v25 & sdtasdt0(v19, v20) = v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v20 | v19 = sz00 | ~ (sdtasdt0(v19, v21) = v23) | ~ (sdtasdt0(v19, v20) = v22) | ~ sdtlseqdt0(v20, v21) | ~ aNaturalNumber0(v21) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19) | sdtlseqdt0(v22, v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v20 | v19 = sz00 | ~ (sdtasdt0(v19, v21) = v23) | ~ (sdtasdt0(v19, v20) = v22) | ~ sdtlseqdt0(v20, v21) | ~ aNaturalNumber0(v21) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19) | ? [v24] : ? [v25] : ( ~ (v25 = v24) & sdtasdt0(v21, v19) = v25 & sdtasdt0(v20, v19) = v24 & sdtlseqdt0(v24, v25))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v20 | v19 = sz00 | ~ (sdtasdt0(v19, v21) = v23) | ~ (sdtasdt0(v19, v20) = v22) | ~ aNaturalNumber0(v21) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19) | ? [v24] : ? [v25] : ( ~ (v25 = v24) & sdtasdt0(v21, v19) = v25 & sdtasdt0(v20, v19) = v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v20 | ~ (sdtpldt0(v21, v19) = v23) | ~ (sdtpldt0(v20, v19) = v22) | ~ aNaturalNumber0(v21) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19) | ? [v24] : ? [v25] : ( ~ (v25 = v24) & sdtpldt0(v19, v21) = v25 & sdtpldt0(v19, v20) = v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v20 | ~ (sdtpldt0(v21, v19) = v23) | ~ (sdtpldt0(v19, v20) = v22) | ~ aNaturalNumber0(v21) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19) | ? [v24] : ? [v25] : ( ~ (v25 = v23) & ~ (v24 = v22) & sdtpldt0(v20, v19) = v25 & sdtpldt0(v19, v21) = v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v20 | ~ (sdtpldt0(v20, v19) = v23) | ~ (sdtpldt0(v19, v21) = v22) | ~ aNaturalNumber0(v21) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19) | ? [v24] : ? [v25] : ( ~ (v25 = v23) & ~ (v24 = v22) & sdtpldt0(v21, v19) = v25 & sdtpldt0(v19, v20) = v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v20 | ~ (sdtpldt0(v19, v21) = v23) | ~ (sdtpldt0(v19, v20) = v22) | ~ aNaturalNumber0(v21) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19) | ? [v24] : ? [v25] : ( ~ (v25 = v24) & sdtpldt0(v21, v19) = v25 & sdtpldt0(v20, v19) = v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = sz10 | v21 = sz00 | ~ (sdtpldt0(v22, v21) = v23) | ~ (sdtpldt0(v19, v20) = v22) | ~ iLess0(v23, v1) | ~ aNaturalNumber0(v21) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19) | doDivides0(v21, v20) | doDivides0(v21, v19) | ? [v24] : ? [v25] : ? [v26] : ((v26 = v21 & ~ (v24 = v21) & ~ (v24 = sz10) & sdtasdt0(v24, v25) = v21 & doDivides0(v24, v21) & aNaturalNumber0(v25) & aNaturalNumber0(v24)) | (sdtasdt0(v19, v20) = v24 & ~ doDivides0(v21, v24) & ! [v27] : ( ~ (sdtasdt0(v21, v27) = v24) | ~ aNaturalNumber0(v27))))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = sz10 | v21 = sz00 | ~ (sdtpldt0(v22, v21) = v23) | ~ (sdtpldt0(v19, v20) = v22) | ~ iLess0(v23, v1) | ~ aNaturalNumber0(v21) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19) | doDivides0(v21, v20) | ? [v24] : ? [v25] : ? [v26] : ((v26 = v21 & ~ (v24 = v21) & ~ (v24 = sz10) & sdtasdt0(v24, v25) = v21 & doDivides0(v24, v21) & aNaturalNumber0(v25) & aNaturalNumber0(v24)) | (v25 = v19 & sdtasdt0(v21, v24) = v19 & aNaturalNumber0(v24)) | (sdtasdt0(v19, v20) = v24 & ~ doDivides0(v21, v24) & ! [v27] : ( ~ (sdtasdt0(v21, v27) = v24) | ~ aNaturalNumber0(v27))))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = sz10 | v21 = sz00 | ~ (sdtpldt0(v22, v21) = v23) | ~ (sdtpldt0(v19, v20) = v22) | ~ iLess0(v23, v1) | ~ aNaturalNumber0(v21) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19) | doDivides0(v21, v19) | ? [v24] : ? [v25] : ? [v26] : ((v26 = v21 & ~ (v24 = v21) & ~ (v24 = sz10) & sdtasdt0(v24, v25) = v21 & doDivides0(v24, v21) & aNaturalNumber0(v25) & aNaturalNumber0(v24)) | (v25 = v20 & sdtasdt0(v21, v24) = v20 & aNaturalNumber0(v24)) | (sdtasdt0(v19, v20) = v24 & ~ doDivides0(v21, v24) & ! [v27] : ( ~ (sdtasdt0(v21, v27) = v24) | ~ aNaturalNumber0(v27))))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = sz10 | v21 = sz00 | ~ (sdtpldt0(v22, v21) = v23) | ~ (sdtpldt0(v19, v20) = v22) | ~ iLess0(v23, v1) | ~ aNaturalNumber0(v21) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19) | ? [v24] : ? [v25] : ? [v26] : ((v26 = v21 & ~ (v24 = v21) & ~ (v24 = sz10) & sdtasdt0(v24, v25) = v21 & doDivides0(v24, v21) & aNaturalNumber0(v25) & aNaturalNumber0(v24)) | (v25 = v20 & sdtasdt0(v21, v24) = v20 & aNaturalNumber0(v24)) | (v25 = v19 & sdtasdt0(v21, v24) = v19 & aNaturalNumber0(v24)) | (sdtasdt0(v19, v20) = v24 & ~ doDivides0(v21, v24) & ! [v27] : ( ~ (sdtasdt0(v21, v27) = v24) | ~ aNaturalNumber0(v27))))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v19 = sz00 | ~ (sdtsldt0(v20, v19) = v21) | ~ (sdtasdt0(v22, v21) = v23) | ~ doDivides0(v19, v20) | ~ aNaturalNumber0(v22) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19) | ? [v24] : (sdtsldt0(v24, v19) = v23 & sdtasdt0(v22, v20) = v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (sdtasdt0(v22, v21) = v23) | ~ (sdtasdt0(v19, v20) = v22) | ~ aNaturalNumber0(v21) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19) | ? [v24] : (sdtasdt0(v20, v21) = v24 & sdtasdt0(v19, v24) = v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (sdtasdt0(v22, v19) = v23) | ~ (sdtpldt0(v20, v21) = v22) | ~ aNaturalNumber0(v21) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (sdtasdt0(v21, v19) = v28 & sdtasdt0(v20, v19) = v27 & sdtasdt0(v19, v22) = v24 & sdtasdt0(v19, v21) = v26 & sdtasdt0(v19, v20) = v25 & sdtpldt0(v27, v28) = v23 & sdtpldt0(v25, v26) = v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (sdtasdt0(v20, v21) = v22) | ~ (sdtasdt0(v19, v22) = v23) | ~ aNaturalNumber0(v21) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19) | ? [v24] : (sdtasdt0(v24, v21) = v23 & sdtasdt0(v19, v20) = v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (sdtasdt0(v19, v22) = v23) | ~ (sdtpldt0(v20, v21) = v22) | ~ aNaturalNumber0(v21) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (sdtasdt0(v22, v19) = v26 & sdtasdt0(v21, v19) = v28 & sdtasdt0(v20, v19) = v27 & sdtasdt0(v19, v21) = v25 & sdtasdt0(v19, v20) = v24 & sdtpldt0(v27, v28) = v26 & sdtpldt0(v24, v25) = v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (sdtpldt0(v22, v21) = v23) | ~ (sdtpldt0(v19, v20) = v22) | ~ isPrime0(v21) | ~ iLess0(v23, v1) | ~ aNaturalNumber0(v21) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19) | doDivides0(v21, v20) | doDivides0(v21, v19) | ? [v24] : (sdtasdt0(v19, v20) = v24 & ~ doDivides0(v21, v24) & ! [v25] : ( ~ (sdtasdt0(v21, v25) = v24) | ~ aNaturalNumber0(v25)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (sdtpldt0(v22, v21) = v23) | ~ (sdtpldt0(v19, v20) = v22) | ~ isPrime0(v21) | ~ iLess0(v23, v1) | ~ aNaturalNumber0(v21) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19) | doDivides0(v21, v20) | ? [v24] : ? [v25] : ((v25 = v19 & sdtasdt0(v21, v24) = v19 & aNaturalNumber0(v24)) | (sdtasdt0(v19, v20) = v24 & ~ doDivides0(v21, v24) & ! [v26] : ( ~ (sdtasdt0(v21, v26) = v24) | ~ aNaturalNumber0(v26))))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (sdtpldt0(v22, v21) = v23) | ~ (sdtpldt0(v19, v20) = v22) | ~ isPrime0(v21) | ~ iLess0(v23, v1) | ~ aNaturalNumber0(v21) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19) | doDivides0(v21, v19) | ? [v24] : ? [v25] : ((v25 = v20 & sdtasdt0(v21, v24) = v20 & aNaturalNumber0(v24)) | (sdtasdt0(v19, v20) = v24 & ~ doDivides0(v21, v24) & ! [v26] : ( ~ (sdtasdt0(v21, v26) = v24) | ~ aNaturalNumber0(v26))))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (sdtpldt0(v22, v21) = v23) | ~ (sdtpldt0(v19, v20) = v22) | ~ isPrime0(v21) | ~ iLess0(v23, v1) | ~ aNaturalNumber0(v21) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19) | ? [v24] : ? [v25] : ((v25 = v20 & sdtasdt0(v21, v24) = v20 & aNaturalNumber0(v24)) | (v25 = v19 & sdtasdt0(v21, v24) = v19 & aNaturalNumber0(v24)) | (sdtasdt0(v19, v20) = v24 & ~ doDivides0(v21, v24) & ! [v26] : ( ~ (sdtasdt0(v21, v26) = v24) | ~ aNaturalNumber0(v26))))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (sdtpldt0(v22, v21) = v23) | ~ (sdtpldt0(v19, v20) = v22) | ~ aNaturalNumber0(v21) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19) | ? [v24] : (sdtpldt0(v20, v21) = v24 & sdtpldt0(v19, v24) = v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (sdtpldt0(v20, v21) = v22) | ~ (sdtpldt0(v19, v22) = v23) | ~ aNaturalNumber0(v21) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19) | ? [v24] : (sdtpldt0(v24, v21) = v23 & sdtpldt0(v19, v20) = v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v21 | v19 = sz00 | ~ (sdtsldt0(v20, v19) = v21) | ~ (sdtasdt0(v19, v22) = v20) | ~ doDivides0(v19, v20) | ~ aNaturalNumber0(v22) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v21 | ~ (sdtmndt0(v20, v19) = v21) | ~ (sdtpldt0(v19, v22) = v20) | ~ sdtlseqdt0(v19, v20) | ~ aNaturalNumber0(v22) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v20 | v19 = sz00 | ~ (sdtsldt0(v20, v19) = v21) | ~ (sdtasdt0(v19, v21) = v22) | ~ doDivides0(v19, v20) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v20 | ~ (sdtmndt0(v20, v19) = v21) | ~ (sdtpldt0(v19, v21) = v22) | ~ sdtlseqdt0(v19, v20) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v21 = v20 | v19 = sz00 | ~ (sdtasdt0(v21, v19) = v22) | ~ (sdtasdt0(v20, v19) = v22) | ~ sdtlseqdt0(v20, v21) | ~ aNaturalNumber0(v21) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v21 = v20 | v19 = sz00 | ~ (sdtasdt0(v21, v19) = v22) | ~ (sdtasdt0(v20, v19) = v22) | ~ aNaturalNumber0(v21) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v21 = v20 | v19 = sz00 | ~ (sdtasdt0(v19, v21) = v22) | ~ (sdtasdt0(v19, v20) = v22) | ~ sdtlseqdt0(v20, v21) | ~ aNaturalNumber0(v21) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v21 = v20 | v19 = sz00 | ~ (sdtasdt0(v19, v21) = v22) | ~ (sdtasdt0(v19, v20) = v22) | ~ aNaturalNumber0(v21) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v21 = v20 | ~ (sdtpldt0(v21, v19) = v22) | ~ (sdtpldt0(v20, v19) = v22) | ~ aNaturalNumber0(v21) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v21 = v20 | ~ (sdtpldt0(v19, v21) = v22) | ~ (sdtpldt0(v19, v20) = v22) | ~ aNaturalNumber0(v21) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v20 = v19 | ~ (sdtsldt0(v22, v21) = v20) | ~ (sdtsldt0(v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v20 = v19 | ~ (sdtmndt0(v22, v21) = v20) | ~ (sdtmndt0(v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v20 = v19 | ~ (sdtasdt0(v22, v21) = v20) | ~ (sdtasdt0(v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v20 = v19 | ~ (sdtpldt0(v22, v21) = v20) | ~ (sdtpldt0(v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v20 = v19 | ~ (sdtpldt0(v21, v20) = v22) | ~ sdtlseqdt0(v19, v20) | ~ aNaturalNumber0(v21) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19) | ? [v23] : ? [v24] : ? [v25] : ( ~ (v25 = v24) & ~ (v23 = v22) & sdtpldt0(v21, v19) = v23 & sdtpldt0(v20, v21) = v25 & sdtpldt0(v19, v21) = v24 & sdtlseqdt0(v24, v25) & sdtlseqdt0(v23, v22))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v20 = v19 | ~ (sdtpldt0(v21, v19) = v22) | ~ sdtlseqdt0(v19, v20) | ~ aNaturalNumber0(v21) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19) | ? [v23] : ? [v24] : ? [v25] : ( ~ (v25 = v24) & ~ (v23 = v22) & sdtpldt0(v21, v20) = v23 & sdtpldt0(v20, v21) = v25 & sdtpldt0(v19, v21) = v24 & sdtlseqdt0(v24, v25) & sdtlseqdt0(v22, v23))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v20 = v19 | ~ (sdtpldt0(v20, v21) = v22) | ~ sdtlseqdt0(v19, v20) | ~ aNaturalNumber0(v21) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19) | ? [v23] : ? [v24] : ? [v25] : ( ~ (v25 = v22) & ~ (v24 = v23) & sdtpldt0(v21, v20) = v24 & sdtpldt0(v21, v19) = v23 & sdtpldt0(v19, v21) = v25 & sdtlseqdt0(v25, v22) & sdtlseqdt0(v23, v24))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v20 = v19 | ~ (sdtpldt0(v19, v21) = v22) | ~ sdtlseqdt0(v19, v20) | ~ aNaturalNumber0(v21) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19) | ? [v23] : ? [v24] : ? [v25] : ( ~ (v25 = v22) & ~ (v24 = v23) & sdtpldt0(v21, v20) = v24 & sdtpldt0(v21, v19) = v23 & sdtpldt0(v20, v21) = v25 & sdtlseqdt0(v23, v24) & sdtlseqdt0(v22, v25))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v19 = sz00 | ~ (sdtsldt0(v20, v19) = v21) | ~ (sdtasdt0(v19, v21) = v22) | ~ doDivides0(v19, v20) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19) | aNaturalNumber0(v21)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (sdtmndt0(v20, v19) = v21) | ~ (sdtpldt0(v19, v21) = v22) | ~ sdtlseqdt0(v19, v20) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19) | aNaturalNumber0(v21)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (sdtpldt0(v20, v21) = v22) | ~ doDivides0(v19, v22) | ~ doDivides0(v19, v20) | ~ aNaturalNumber0(v21) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19) | doDivides0(v19, v21)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (sdtpldt0(v20, v21) = v22) | ~ doDivides0(v19, v21) | ~ doDivides0(v19, v20) | ~ aNaturalNumber0(v21) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19) | doDivides0(v19, v22)) & ! [v19] : ! [v20] : ! [v21] : (v19 = sz00 | ~ (sdtasdt0(v20, v19) = v21) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19) | sdtlseqdt0(v20, v21)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (sdtasdt0(v20, v19) = v21) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19) | sdtasdt0(v19, v20) = v21) & ! [v19] : ! [v20] : ! [v21] : ( ~ (sdtasdt0(v19, v21) = v20) | ~ aNaturalNumber0(v21) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19) | doDivides0(v19, v20)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (sdtasdt0(v19, v20) = v21) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19) | sdtasdt0(v20, v19) = v21) & ! [v19] : ! [v20] : ! [v21] : ( ~ (sdtasdt0(v19, v20) = v21) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19) | aNaturalNumber0(v21)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (sdtpldt0(v20, v19) = v21) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19) | sdtpldt0(v19, v20) = v21) & ! [v19] : ! [v20] : ! [v21] : ( ~ (sdtpldt0(v19, v21) = v20) | ~ aNaturalNumber0(v21) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19) | sdtlseqdt0(v19, v20)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (sdtpldt0(v19, v20) = v21) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19) | sdtpldt0(v20, v19) = v21) & ! [v19] : ! [v20] : ! [v21] : ( ~ (sdtpldt0(v19, v20) = v21) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19) | aNaturalNumber0(v21)) & ! [v19] : ! [v20] : ! [v21] : ( ~ doDivides0(v20, v21) | ~ doDivides0(v19, v20) | ~ aNaturalNumber0(v21) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19) | doDivides0(v19, v21)) & ! [v19] : ! [v20] : ! [v21] : ( ~ sdtlseqdt0(v20, v21) | ~ sdtlseqdt0(v19, v20) | ~ aNaturalNumber0(v21) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19) | sdtlseqdt0(v19, v21)) & ! [v19] : ! [v20] : (v20 = v19 | v20 = sz10 | ~ isPrime0(v19) | ~ doDivides0(v20, v19) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19)) & ! [v19] : ! [v20] : (v20 = v19 | ~ (sdtasdt0(v19, sz10) = v20) | ~ aNaturalNumber0(v19)) & ! [v19] : ! [v20] : (v20 = v19 | ~ (sdtasdt0(sz10, v19) = v20) | ~ aNaturalNumber0(v19)) & ! [v19] : ! [v20] : (v20 = v19 | ~ (sdtpldt0(v19, sz00) = v20) | ~ aNaturalNumber0(v19)) & ! [v19] : ! [v20] : (v20 = v19 | ~ (sdtpldt0(sz00, v19) = v20) | ~ aNaturalNumber0(v19)) & ! [v19] : ! [v20] : (v20 = v19 | ~ sdtlseqdt0(v20, v19) | ~ sdtlseqdt0(v19, v20) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19)) & ! [v19] : ! [v20] : (v20 = v19 | ~ sdtlseqdt0(v19, v20) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19) | iLess0(v19, v20)) & ! [v19] : ! [v20] : (v20 = sz00 | v19 = sz00 | ~ (sdtasdt0(v19, v20) = sz00) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19)) & ! [v19] : ! [v20] : (v20 = sz00 | ~ (sdtasdt0(v19, sz00) = v20) | ~ aNaturalNumber0(v19)) & ! [v19] : ! [v20] : (v20 = sz00 | ~ (sdtasdt0(sz00, v19) = v20) | ~ aNaturalNumber0(v19)) & ! [v19] : ! [v20] : (v20 = sz00 | ~ (sdtpldt0(v19, v20) = sz00) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19)) & ! [v19] : ! [v20] : (v20 = sz00 | ~ doDivides0(v19, v20) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19) | sdtlseqdt0(v19, v20)) & ! [v19] : ! [v20] : (v19 = xr | v19 = sz10 | ~ (sdtasdt0(v19, v20) = xr) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19)) & ! [v19] : ! [v20] : (v19 = xp | v19 = sz10 | ~ (sdtasdt0(v19, v20) = xp) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19)) & ! [v19] : ! [v20] : (v19 = sz00 | ~ (sdtpldt0(v19, v20) = sz00) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19)) & ! [v19] : ! [v20] : ( ~ (sdtasdt0(v19, sz10) = v20) | ~ aNaturalNumber0(v19) | sdtasdt0(sz10, v19) = v19) & ! [v19] : ! [v20] : ( ~ (sdtasdt0(v19, sz00) = v20) | ~ aNaturalNumber0(v19) | sdtasdt0(sz00, v19) = sz00) & ! [v19] : ! [v20] : ( ~ (sdtasdt0(sz10, v19) = v20) | ~ aNaturalNumber0(v19) | sdtasdt0(v19, sz10) = v19) & ! [v19] : ! [v20] : ( ~ (sdtasdt0(sz00, v19) = v20) | ~ aNaturalNumber0(v19) | sdtasdt0(v19, sz00) = sz00) & ! [v19] : ! [v20] : ( ~ (sdtpldt0(v19, sz00) = v20) | ~ aNaturalNumber0(v19) | sdtpldt0(sz00, v19) = v19) & ! [v19] : ! [v20] : ( ~ (sdtpldt0(sz00, v19) = v20) | ~ aNaturalNumber0(v19) | sdtpldt0(v19, sz00) = v19) & ! [v19] : ! [v20] : ( ~ doDivides0(v19, v20) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19) | ? [v21] : (sdtasdt0(v19, v21) = v20 & aNaturalNumber0(v21))) & ! [v19] : ! [v20] : ( ~ sdtlseqdt0(v19, v20) | ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19) | ? [v21] : (sdtpldt0(v19, v21) = v20 & aNaturalNumber0(v21))) & ! [v19] : ! [v20] : ( ~ aNaturalNumber0(v20) | ~ aNaturalNumber0(v19) | sdtlseqdt0(v20, v19) | sdtlseqdt0(v19, v20)) & ! [v19] : (v19 = xr | v19 = sz10 | ~ doDivides0(v19, xr) | ~ aNaturalNumber0(v19)) & ! [v19] : (v19 = xp | v19 = sz10 | ~ doDivides0(v19, xp) | ~ aNaturalNumber0(v19)) & ! [v19] : (v19 = sz10 | v19 = sz00 | ~ aNaturalNumber0(v19) | isPrime0(v19) | ? [v20] : ( ~ (v20 = v19) & ~ (v20 = sz10) & doDivides0(v20, v19) & aNaturalNumber0(v20))) & ! [v19] : (v19 = sz10 | v19 = sz00 | ~ aNaturalNumber0(v19) | sdtlseqdt0(sz10, v19)) & ! [v19] : (v19 = sz10 | v19 = sz00 | ~ aNaturalNumber0(v19) | ? [v20] : (isPrime0(v20) & doDivides0(v20, v19) & aNaturalNumber0(v20))) & ! [v19] : ( ~ (sdtpldt0(xp, v19) = xm) | ~ aNaturalNumber0(v19)) & ! [v19] : ( ~ (sdtpldt0(xp, v19) = xn) | ~ aNaturalNumber0(v19)) & ! [v19] : ( ~ aNaturalNumber0(v19) | sdtlseqdt0(v19, v19)) & (v6 = v1 | ( ~ sdtlseqdt0(v6, v1) & ! [v19] : ( ~ aNaturalNumber0(v19) | ? [v20] : ( ~ (v20 = v1) & sdtpldt0(v6, v19) = v20)))) & ((v11 = xm & sdtasdt0(xr, v10) = xm & doDivides0(xr, xm) & aNaturalNumber0(v10)) | (v11 = xn & sdtasdt0(xr, v10) = xn & aNaturalNumber0(v10))))
% 170.48/143.96 | 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, all_0_15_15, all_0_16_16, all_0_17_17, all_0_18_18 yields:
% 170.48/143.96 | (1) ~ (all_0_15_15 = xn) & ~ (xr = sz10) & ~ (xr = sz00) & ~ (xk = xp) & ~ (xk = sz10) & ~ (xk = sz00) & ~ (xp = xm) & ~ (xp = xn) & ~ (xp = sz10) & ~ (xp = sz00) & ~ (sz10 = sz00) & sdtsldt0(all_0_16_16, xp) = xk & sdtsldt0(xn, xr) = all_0_15_15 & sdtasdt0(all_0_15_15, xm) = all_0_14_14 & sdtasdt0(xr, all_0_3_3) = xk & sdtasdt0(xr, all_0_5_5) = all_0_16_16 & sdtasdt0(xr, all_0_9_9) = xn & sdtasdt0(xr, all_0_15_15) = xn & sdtasdt0(xp, all_0_0_0) = all_0_16_16 & sdtasdt0(xp, all_0_11_11) = all_0_14_14 & sdtasdt0(xp, xk) = all_0_16_16 & sdtasdt0(xn, xm) = all_0_16_16 & sdtpldt0(all_0_13_13, xp) = all_0_12_12 & sdtpldt0(all_0_15_15, all_0_10_10) = xn & sdtpldt0(all_0_15_15, xm) = all_0_13_13 & sdtpldt0(all_0_18_18, xp) = all_0_17_17 & sdtpldt0(xr, all_0_4_4) = xk & sdtpldt0(xk, all_0_6_6) = xp & sdtpldt0(xm, all_0_2_2) = xp & sdtpldt0(xn, all_0_1_1) = xp & sdtpldt0(xn, xm) = all_0_18_18 & isPrime0(xr) & isPrime0(xp) & doDivides0(xr, all_0_16_16) & doDivides0(xr, xk) & doDivides0(xr, xn) & doDivides0(xp, all_0_14_14) & doDivides0(xp, all_0_16_16) & sdtlseqdt0(all_0_15_15, xn) & sdtlseqdt0(xk, xp) & sdtlseqdt0(xm, xp) & sdtlseqdt0(xn, xp) & aNaturalNumber0(all_0_0_0) & aNaturalNumber0(all_0_1_1) & aNaturalNumber0(all_0_2_2) & aNaturalNumber0(all_0_3_3) & aNaturalNumber0(all_0_4_4) & aNaturalNumber0(all_0_5_5) & aNaturalNumber0(all_0_6_6) & aNaturalNumber0(all_0_9_9) & aNaturalNumber0(all_0_10_10) & aNaturalNumber0(all_0_11_11) & aNaturalNumber0(all_0_15_15) & aNaturalNumber0(xr) & aNaturalNumber0(xk) & aNaturalNumber0(xp) & aNaturalNumber0(xm) & aNaturalNumber0(xn) & aNaturalNumber0(sz10) & aNaturalNumber0(sz00) & ~ isPrime0(sz10) & ~ isPrime0(sz00) & ~ sdtlseqdt0(xp, xm) & ~ sdtlseqdt0(xp, xn) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v0 = sz00 | ~ (sdtsldt0(v4, v0) = v5) | ~ (sdtsldt0(v1, v0) = v2) | ~ (sdtasdt0(v3, v1) = v4) | ~ doDivides0(v0, v1) | ~ aNaturalNumber0(v3) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | sdtasdt0(v3, v2) = v5) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (sdtasdt0(v2, v0) = v4) | ~ (sdtasdt0(v1, v0) = v3) | ~ (sdtpldt0(v3, v4) = v5) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (sdtasdt0(v6, v0) = v5 & sdtasdt0(v0, v6) = v7 & sdtasdt0(v0, v2) = v9 & sdtasdt0(v0, v1) = v8 & sdtpldt0(v8, v9) = v7 & sdtpldt0(v1, v2) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (sdtasdt0(v0, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ (sdtpldt0(v3, v4) = v5) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (sdtasdt0(v6, v0) = v7 & sdtasdt0(v2, v0) = v9 & sdtasdt0(v1, v0) = v8 & sdtasdt0(v0, v6) = v5 & sdtpldt0(v8, v9) = v7 & sdtpldt0(v1, v2) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | v0 = sz00 | ~ (sdtasdt0(v2, v0) = v4) | ~ (sdtasdt0(v1, v0) = v3) | ~ sdtlseqdt0(v1, v2) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | sdtlseqdt0(v3, v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | v0 = sz00 | ~ (sdtasdt0(v2, v0) = v4) | ~ (sdtasdt0(v1, v0) = v3) | ~ sdtlseqdt0(v1, v2) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : ? [v6] : ( ~ (v6 = v5) & sdtasdt0(v0, v2) = v6 & sdtasdt0(v0, v1) = v5 & sdtlseqdt0(v5, v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | v0 = sz00 | ~ (sdtasdt0(v2, v0) = v4) | ~ (sdtasdt0(v1, v0) = v3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : ? [v6] : ( ~ (v6 = v5) & sdtasdt0(v0, v2) = v6 & sdtasdt0(v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | v0 = sz00 | ~ (sdtasdt0(v2, v0) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ sdtlseqdt0(v1, v2) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : ? [v6] : ( ~ (v6 = v4) & ~ (v5 = v3) & sdtasdt0(v1, v0) = v6 & sdtasdt0(v0, v2) = v5 & sdtlseqdt0(v6, v4) & sdtlseqdt0(v3, v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | v0 = sz00 | ~ (sdtasdt0(v2, v0) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : ? [v6] : ( ~ (v6 = v4) & ~ (v5 = v3) & sdtasdt0(v1, v0) = v6 & sdtasdt0(v0, v2) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | v0 = sz00 | ~ (sdtasdt0(v1, v0) = v4) | ~ (sdtasdt0(v0, v2) = v3) | ~ sdtlseqdt0(v1, v2) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : ? [v6] : ( ~ (v6 = v4) & ~ (v5 = v3) & sdtasdt0(v2, v0) = v6 & sdtasdt0(v0, v1) = v5 & sdtlseqdt0(v5, v3) & sdtlseqdt0(v4, v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | v0 = sz00 | ~ (sdtasdt0(v1, v0) = v4) | ~ (sdtasdt0(v0, v2) = v3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : ? [v6] : ( ~ (v6 = v4) & ~ (v5 = v3) & sdtasdt0(v2, v0) = v6 & sdtasdt0(v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | v0 = sz00 | ~ (sdtasdt0(v0, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ sdtlseqdt0(v1, v2) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | sdtlseqdt0(v3, v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | v0 = sz00 | ~ (sdtasdt0(v0, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ sdtlseqdt0(v1, v2) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : ? [v6] : ( ~ (v6 = v5) & sdtasdt0(v2, v0) = v6 & sdtasdt0(v1, v0) = v5 & sdtlseqdt0(v5, v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | v0 = sz00 | ~ (sdtasdt0(v0, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : ? [v6] : ( ~ (v6 = v5) & sdtasdt0(v2, v0) = v6 & sdtasdt0(v1, v0) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | ~ (sdtpldt0(v2, v0) = v4) | ~ (sdtpldt0(v1, v0) = v3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : ? [v6] : ( ~ (v6 = v5) & sdtpldt0(v0, v2) = v6 & sdtpldt0(v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | ~ (sdtpldt0(v2, v0) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : ? [v6] : ( ~ (v6 = v4) & ~ (v5 = v3) & sdtpldt0(v1, v0) = v6 & sdtpldt0(v0, v2) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | ~ (sdtpldt0(v1, v0) = v4) | ~ (sdtpldt0(v0, v2) = v3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : ? [v6] : ( ~ (v6 = v4) & ~ (v5 = v3) & sdtpldt0(v2, v0) = v6 & sdtpldt0(v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | ~ (sdtpldt0(v0, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : ? [v6] : ( ~ (v6 = v5) & sdtpldt0(v2, v0) = v6 & sdtpldt0(v1, v0) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = sz10 | v2 = sz00 | ~ (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ iLess0(v4, all_0_17_17) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | doDivides0(v2, v1) | doDivides0(v2, v0) | ? [v5] : ? [v6] : ? [v7] : ((v7 = v2 & ~ (v5 = v2) & ~ (v5 = sz10) & sdtasdt0(v5, v6) = v2 & doDivides0(v5, v2) & aNaturalNumber0(v6) & aNaturalNumber0(v5)) | (sdtasdt0(v0, v1) = v5 & ~ doDivides0(v2, v5) & ! [v8] : ( ~ (sdtasdt0(v2, v8) = v5) | ~ aNaturalNumber0(v8))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = sz10 | v2 = sz00 | ~ (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ iLess0(v4, all_0_17_17) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | doDivides0(v2, v1) | ? [v5] : ? [v6] : ? [v7] : ((v7 = v2 & ~ (v5 = v2) & ~ (v5 = sz10) & sdtasdt0(v5, v6) = v2 & doDivides0(v5, v2) & aNaturalNumber0(v6) & aNaturalNumber0(v5)) | (v6 = v0 & sdtasdt0(v2, v5) = v0 & aNaturalNumber0(v5)) | (sdtasdt0(v0, v1) = v5 & ~ doDivides0(v2, v5) & ! [v8] : ( ~ (sdtasdt0(v2, v8) = v5) | ~ aNaturalNumber0(v8))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = sz10 | v2 = sz00 | ~ (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ iLess0(v4, all_0_17_17) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | doDivides0(v2, v0) | ? [v5] : ? [v6] : ? [v7] : ((v7 = v2 & ~ (v5 = v2) & ~ (v5 = sz10) & sdtasdt0(v5, v6) = v2 & doDivides0(v5, v2) & aNaturalNumber0(v6) & aNaturalNumber0(v5)) | (v6 = v1 & sdtasdt0(v2, v5) = v1 & aNaturalNumber0(v5)) | (sdtasdt0(v0, v1) = v5 & ~ doDivides0(v2, v5) & ! [v8] : ( ~ (sdtasdt0(v2, v8) = v5) | ~ aNaturalNumber0(v8))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = sz10 | v2 = sz00 | ~ (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ iLess0(v4, all_0_17_17) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : ? [v6] : ? [v7] : ((v7 = v2 & ~ (v5 = v2) & ~ (v5 = sz10) & sdtasdt0(v5, v6) = v2 & doDivides0(v5, v2) & aNaturalNumber0(v6) & aNaturalNumber0(v5)) | (v6 = v1 & sdtasdt0(v2, v5) = v1 & aNaturalNumber0(v5)) | (v6 = v0 & sdtasdt0(v2, v5) = v0 & aNaturalNumber0(v5)) | (sdtasdt0(v0, v1) = v5 & ~ doDivides0(v2, v5) & ! [v8] : ( ~ (sdtasdt0(v2, v8) = v5) | ~ aNaturalNumber0(v8))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v0 = sz00 | ~ (sdtsldt0(v1, v0) = v2) | ~ (sdtasdt0(v3, v2) = v4) | ~ doDivides0(v0, v1) | ~ aNaturalNumber0(v3) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : (sdtsldt0(v5, v0) = v4 & sdtasdt0(v3, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtasdt0(v3, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : (sdtasdt0(v1, v2) = v5 & sdtasdt0(v0, v5) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtasdt0(v3, v0) = v4) | ~ (sdtpldt0(v1, v2) = v3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (sdtasdt0(v2, v0) = v9 & sdtasdt0(v1, v0) = v8 & sdtasdt0(v0, v3) = v5 & sdtasdt0(v0, v2) = v7 & sdtasdt0(v0, v1) = v6 & sdtpldt0(v8, v9) = v4 & sdtpldt0(v6, v7) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtasdt0(v1, v2) = v3) | ~ (sdtasdt0(v0, v3) = v4) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : (sdtasdt0(v5, v2) = v4 & sdtasdt0(v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtasdt0(v0, v3) = v4) | ~ (sdtpldt0(v1, v2) = v3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (sdtasdt0(v3, v0) = v7 & sdtasdt0(v2, v0) = v9 & sdtasdt0(v1, v0) = v8 & sdtasdt0(v0, v2) = v6 & sdtasdt0(v0, v1) = v5 & sdtpldt0(v8, v9) = v7 & sdtpldt0(v5, v6) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ isPrime0(v2) | ~ iLess0(v4, all_0_17_17) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | doDivides0(v2, v1) | doDivides0(v2, v0) | ? [v5] : (sdtasdt0(v0, v1) = v5 & ~ doDivides0(v2, v5) & ! [v6] : ( ~ (sdtasdt0(v2, v6) = v5) | ~ aNaturalNumber0(v6)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ isPrime0(v2) | ~ iLess0(v4, all_0_17_17) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | doDivides0(v2, v1) | ? [v5] : ? [v6] : ((v6 = v0 & sdtasdt0(v2, v5) = v0 & aNaturalNumber0(v5)) | (sdtasdt0(v0, v1) = v5 & ~ doDivides0(v2, v5) & ! [v7] : ( ~ (sdtasdt0(v2, v7) = v5) | ~ aNaturalNumber0(v7))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ isPrime0(v2) | ~ iLess0(v4, all_0_17_17) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | doDivides0(v2, v0) | ? [v5] : ? [v6] : ((v6 = v1 & sdtasdt0(v2, v5) = v1 & aNaturalNumber0(v5)) | (sdtasdt0(v0, v1) = v5 & ~ doDivides0(v2, v5) & ! [v7] : ( ~ (sdtasdt0(v2, v7) = v5) | ~ aNaturalNumber0(v7))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ isPrime0(v2) | ~ iLess0(v4, all_0_17_17) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : ? [v6] : ((v6 = v1 & sdtasdt0(v2, v5) = v1 & aNaturalNumber0(v5)) | (v6 = v0 & sdtasdt0(v2, v5) = v0 & aNaturalNumber0(v5)) | (sdtasdt0(v0, v1) = v5 & ~ doDivides0(v2, v5) & ! [v7] : ( ~ (sdtasdt0(v2, v7) = v5) | ~ aNaturalNumber0(v7))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : (sdtpldt0(v1, v2) = v5 & sdtpldt0(v0, v5) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt0(v1, v2) = v3) | ~ (sdtpldt0(v0, v3) = v4) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : (sdtpldt0(v5, v2) = v4 & sdtpldt0(v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | v0 = sz00 | ~ (sdtsldt0(v1, v0) = v2) | ~ (sdtasdt0(v0, v3) = v1) | ~ doDivides0(v0, v1) | ~ aNaturalNumber0(v3) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (sdtmndt0(v1, v0) = v2) | ~ (sdtpldt0(v0, v3) = v1) | ~ sdtlseqdt0(v0, v1) | ~ aNaturalNumber0(v3) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | v0 = sz00 | ~ (sdtsldt0(v1, v0) = v2) | ~ (sdtasdt0(v0, v2) = v3) | ~ doDivides0(v0, v1) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | ~ (sdtmndt0(v1, v0) = v2) | ~ (sdtpldt0(v0, v2) = v3) | ~ sdtlseqdt0(v0, v1) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | v0 = sz00 | ~ (sdtasdt0(v2, v0) = v3) | ~ (sdtasdt0(v1, v0) = v3) | ~ sdtlseqdt0(v1, v2) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | v0 = sz00 | ~ (sdtasdt0(v2, v0) = v3) | ~ (sdtasdt0(v1, v0) = v3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | v0 = sz00 | ~ (sdtasdt0(v0, v2) = v3) | ~ (sdtasdt0(v0, v1) = v3) | ~ sdtlseqdt0(v1, v2) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | v0 = sz00 | ~ (sdtasdt0(v0, v2) = v3) | ~ (sdtasdt0(v0, v1) = v3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | ~ (sdtpldt0(v2, v0) = v3) | ~ (sdtpldt0(v1, v0) = v3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | ~ (sdtpldt0(v0, v2) = v3) | ~ (sdtpldt0(v0, v1) = v3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtsldt0(v3, v2) = v1) | ~ (sdtsldt0(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtmndt0(v3, v2) = v1) | ~ (sdtmndt0(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] : (v1 = v0 | ~ (sdtpldt0(v2, v1) = v3) | ~ sdtlseqdt0(v0, v1) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v4] : ? [v5] : ? [v6] : ( ~ (v6 = v5) & ~ (v4 = v3) & sdtpldt0(v2, v0) = v4 & sdtpldt0(v1, v2) = v6 & sdtpldt0(v0, v2) = v5 & sdtlseqdt0(v5, v6) & sdtlseqdt0(v4, v3))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtpldt0(v2, v0) = v3) | ~ sdtlseqdt0(v0, v1) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v4] : ? [v5] : ? [v6] : ( ~ (v6 = v5) & ~ (v4 = v3) & sdtpldt0(v2, v1) = v4 & sdtpldt0(v1, v2) = v6 & sdtpldt0(v0, v2) = v5 & sdtlseqdt0(v5, v6) & sdtlseqdt0(v3, v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtpldt0(v1, v2) = v3) | ~ sdtlseqdt0(v0, v1) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v4] : ? [v5] : ? [v6] : ( ~ (v6 = v3) & ~ (v5 = v4) & sdtpldt0(v2, v1) = v5 & sdtpldt0(v2, v0) = v4 & sdtpldt0(v0, v2) = v6 & sdtlseqdt0(v6, v3) & sdtlseqdt0(v4, v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtpldt0(v0, v2) = v3) | ~ sdtlseqdt0(v0, v1) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v4] : ? [v5] : ? [v6] : ( ~ (v6 = v3) & ~ (v5 = v4) & sdtpldt0(v2, v1) = v5 & sdtpldt0(v2, v0) = v4 & sdtpldt0(v1, v2) = v6 & sdtlseqdt0(v4, v5) & sdtlseqdt0(v3, v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v0 = sz00 | ~ (sdtsldt0(v1, v0) = v2) | ~ (sdtasdt0(v0, v2) = v3) | ~ doDivides0(v0, v1) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | aNaturalNumber0(v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sdtmndt0(v1, v0) = v2) | ~ (sdtpldt0(v0, v2) = v3) | ~ sdtlseqdt0(v0, v1) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | aNaturalNumber0(v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sdtpldt0(v1, v2) = v3) | ~ doDivides0(v0, v3) | ~ doDivides0(v0, v1) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | doDivides0(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sdtpldt0(v1, v2) = v3) | ~ doDivides0(v0, v2) | ~ doDivides0(v0, v1) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | doDivides0(v0, v3)) & ! [v0] : ! [v1] : ! [v2] : (v0 = sz00 | ~ (sdtasdt0(v1, v0) = v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | sdtlseqdt0(v1, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasdt0(v1, v0) = v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | sdtasdt0(v0, v1) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasdt0(v0, v2) = v1) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | doDivides0(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasdt0(v0, v1) = v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | sdtasdt0(v1, v0) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasdt0(v0, v1) = v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | aNaturalNumber0(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v1, v0) = v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | sdtpldt0(v0, v1) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v2) = v1) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | sdtlseqdt0(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | sdtpldt0(v1, v0) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | aNaturalNumber0(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ doDivides0(v1, v2) | ~ doDivides0(v0, v1) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | doDivides0(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ sdtlseqdt0(v1, v2) | ~ sdtlseqdt0(v0, v1) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | sdtlseqdt0(v0, v2)) & ! [v0] : ! [v1] : (v1 = v0 | v1 = sz10 | ~ isPrime0(v0) | ~ doDivides0(v1, v0) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (sdtasdt0(v0, sz10) = v1) | ~ aNaturalNumber0(v0)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (sdtasdt0(sz10, v0) = v1) | ~ aNaturalNumber0(v0)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (sdtpldt0(v0, sz00) = v1) | ~ aNaturalNumber0(v0)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (sdtpldt0(sz00, v0) = v1) | ~ aNaturalNumber0(v0)) & ! [v0] : ! [v1] : (v1 = v0 | ~ sdtlseqdt0(v1, v0) | ~ sdtlseqdt0(v0, v1) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0)) & ! [v0] : ! [v1] : (v1 = v0 | ~ sdtlseqdt0(v0, v1) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | iLess0(v0, v1)) & ! [v0] : ! [v1] : (v1 = sz00 | v0 = sz00 | ~ (sdtasdt0(v0, v1) = sz00) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0)) & ! [v0] : ! [v1] : (v1 = sz00 | ~ (sdtasdt0(v0, sz00) = v1) | ~ aNaturalNumber0(v0)) & ! [v0] : ! [v1] : (v1 = sz00 | ~ (sdtasdt0(sz00, v0) = v1) | ~ aNaturalNumber0(v0)) & ! [v0] : ! [v1] : (v1 = sz00 | ~ (sdtpldt0(v0, v1) = sz00) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0)) & ! [v0] : ! [v1] : (v1 = sz00 | ~ doDivides0(v0, v1) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | sdtlseqdt0(v0, v1)) & ! [v0] : ! [v1] : (v0 = xr | v0 = sz10 | ~ (sdtasdt0(v0, v1) = xr) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0)) & ! [v0] : ! [v1] : (v0 = xp | v0 = sz10 | ~ (sdtasdt0(v0, v1) = xp) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0)) & ! [v0] : ! [v1] : (v0 = sz00 | ~ (sdtpldt0(v0, v1) = sz00) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0)) & ! [v0] : ! [v1] : ( ~ (sdtasdt0(v0, sz10) = v1) | ~ aNaturalNumber0(v0) | sdtasdt0(sz10, v0) = v0) & ! [v0] : ! [v1] : ( ~ (sdtasdt0(v0, sz00) = v1) | ~ aNaturalNumber0(v0) | sdtasdt0(sz00, v0) = sz00) & ! [v0] : ! [v1] : ( ~ (sdtasdt0(sz10, v0) = v1) | ~ aNaturalNumber0(v0) | sdtasdt0(v0, sz10) = v0) & ! [v0] : ! [v1] : ( ~ (sdtasdt0(sz00, v0) = v1) | ~ aNaturalNumber0(v0) | sdtasdt0(v0, sz00) = sz00) & ! [v0] : ! [v1] : ( ~ (sdtpldt0(v0, sz00) = v1) | ~ aNaturalNumber0(v0) | sdtpldt0(sz00, v0) = v0) & ! [v0] : ! [v1] : ( ~ (sdtpldt0(sz00, v0) = v1) | ~ aNaturalNumber0(v0) | sdtpldt0(v0, sz00) = v0) & ! [v0] : ! [v1] : ( ~ doDivides0(v0, v1) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v2] : (sdtasdt0(v0, v2) = v1 & aNaturalNumber0(v2))) & ! [v0] : ! [v1] : ( ~ sdtlseqdt0(v0, v1) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v2] : (sdtpldt0(v0, v2) = v1 & aNaturalNumber0(v2))) & ! [v0] : ! [v1] : ( ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | sdtlseqdt0(v1, v0) | sdtlseqdt0(v0, v1)) & ! [v0] : (v0 = xr | v0 = sz10 | ~ doDivides0(v0, xr) | ~ aNaturalNumber0(v0)) & ! [v0] : (v0 = xp | v0 = sz10 | ~ doDivides0(v0, xp) | ~ aNaturalNumber0(v0)) & ! [v0] : (v0 = sz10 | v0 = sz00 | ~ aNaturalNumber0(v0) | isPrime0(v0) | ? [v1] : ( ~ (v1 = v0) & ~ (v1 = sz10) & doDivides0(v1, v0) & aNaturalNumber0(v1))) & ! [v0] : (v0 = sz10 | v0 = sz00 | ~ aNaturalNumber0(v0) | sdtlseqdt0(sz10, v0)) & ! [v0] : (v0 = sz10 | v0 = sz00 | ~ aNaturalNumber0(v0) | ? [v1] : (isPrime0(v1) & doDivides0(v1, v0) & aNaturalNumber0(v1))) & ! [v0] : ( ~ (sdtpldt0(xp, v0) = xm) | ~ aNaturalNumber0(v0)) & ! [v0] : ( ~ (sdtpldt0(xp, v0) = xn) | ~ aNaturalNumber0(v0)) & ! [v0] : ( ~ aNaturalNumber0(v0) | sdtlseqdt0(v0, v0)) & (all_0_12_12 = all_0_17_17 | ( ~ sdtlseqdt0(all_0_12_12, all_0_17_17) & ! [v0] : ( ~ aNaturalNumber0(v0) | ? [v1] : ( ~ (v1 = all_0_17_17) & sdtpldt0(all_0_12_12, v0) = v1)))) & ((all_0_7_7 = xm & sdtasdt0(xr, all_0_8_8) = xm & doDivides0(xr, xm) & aNaturalNumber0(all_0_8_8)) | (all_0_7_7 = xn & sdtasdt0(xr, all_0_8_8) = xn & aNaturalNumber0(all_0_8_8)))
% 171.06/144.00 |
% 171.06/144.00 | Applying alpha-rule on (1) yields:
% 171.06/144.00 | (2) (all_0_7_7 = xm & sdtasdt0(xr, all_0_8_8) = xm & doDivides0(xr, xm) & aNaturalNumber0(all_0_8_8)) | (all_0_7_7 = xn & sdtasdt0(xr, all_0_8_8) = xn & aNaturalNumber0(all_0_8_8))
% 171.06/144.00 | (3) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasdt0(v1, v0) = v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | sdtasdt0(v0, v1) = v2)
% 171.06/144.00 | (4) aNaturalNumber0(all_0_2_2)
% 171.06/144.00 | (5) sdtasdt0(xp, all_0_0_0) = all_0_16_16
% 171.06/144.00 | (6) ! [v0] : (v0 = sz10 | v0 = sz00 | ~ aNaturalNumber0(v0) | isPrime0(v0) | ? [v1] : ( ~ (v1 = v0) & ~ (v1 = sz10) & doDivides0(v1, v0) & aNaturalNumber0(v1)))
% 171.06/144.00 | (7) sdtpldt0(xn, all_0_1_1) = xp
% 171.06/144.00 | (8) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | v0 = sz00 | ~ (sdtasdt0(v2, v0) = v4) | ~ (sdtasdt0(v1, v0) = v3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : ? [v6] : ( ~ (v6 = v5) & sdtasdt0(v0, v2) = v6 & sdtasdt0(v0, v1) = v5))
% 171.06/144.00 | (9) ! [v0] : ! [v1] : (v0 = xr | v0 = sz10 | ~ (sdtasdt0(v0, v1) = xr) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0))
% 171.06/144.00 | (10) aNaturalNumber0(all_0_6_6)
% 171.06/144.00 | (11) ! [v0] : ! [v1] : (v1 = v0 | ~ (sdtasdt0(v0, sz10) = v1) | ~ aNaturalNumber0(v0))
% 171.06/144.00 | (12) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtasdt0(v3, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : (sdtasdt0(v1, v2) = v5 & sdtasdt0(v0, v5) = v4))
% 171.06/144.00 | (13) sdtpldt0(xm, all_0_2_2) = xp
% 171.06/144.00 | (14) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | v0 = sz00 | ~ (sdtasdt0(v0, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ sdtlseqdt0(v1, v2) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : ? [v6] : ( ~ (v6 = v5) & sdtasdt0(v2, v0) = v6 & sdtasdt0(v1, v0) = v5 & sdtlseqdt0(v5, v6)))
% 171.06/144.00 | (15) ! [v0] : ! [v1] : (v1 = sz00 | ~ (sdtasdt0(sz00, v0) = v1) | ~ aNaturalNumber0(v0))
% 171.06/144.00 | (16) ! [v0] : ! [v1] : (v1 = sz00 | ~ (sdtasdt0(v0, sz00) = v1) | ~ aNaturalNumber0(v0))
% 171.06/144.00 | (17) ! [v0] : ! [v1] : ! [v2] : (v0 = sz00 | ~ (sdtasdt0(v1, v0) = v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | sdtlseqdt0(v1, v2))
% 171.06/144.00 | (18) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | v0 = sz00 | ~ (sdtasdt0(v0, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : ? [v6] : ( ~ (v6 = v5) & sdtasdt0(v2, v0) = v6 & sdtasdt0(v1, v0) = v5))
% 171.06/144.00 | (19) ! [v0] : ! [v1] : ( ~ (sdtpldt0(sz00, v0) = v1) | ~ aNaturalNumber0(v0) | sdtpldt0(v0, sz00) = v0)
% 171.06/144.00 | (20) sdtsldt0(all_0_16_16, xp) = xk
% 171.06/144.00 | (21) aNaturalNumber0(xr)
% 171.06/144.00 | (22) sdtasdt0(xr, all_0_3_3) = xk
% 171.06/144.00 | (23) aNaturalNumber0(all_0_1_1)
% 171.06/144.00 | (24) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sdtpldt0(v1, v2) = v3) | ~ doDivides0(v0, v3) | ~ doDivides0(v0, v1) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | doDivides0(v0, v2))
% 171.06/144.00 | (25) aNaturalNumber0(all_0_5_5)
% 171.06/144.00 | (26) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = sz10 | v2 = sz00 | ~ (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ iLess0(v4, all_0_17_17) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | doDivides0(v2, v1) | ? [v5] : ? [v6] : ? [v7] : ((v7 = v2 & ~ (v5 = v2) & ~ (v5 = sz10) & sdtasdt0(v5, v6) = v2 & doDivides0(v5, v2) & aNaturalNumber0(v6) & aNaturalNumber0(v5)) | (v6 = v0 & sdtasdt0(v2, v5) = v0 & aNaturalNumber0(v5)) | (sdtasdt0(v0, v1) = v5 & ~ doDivides0(v2, v5) & ! [v8] : ( ~ (sdtasdt0(v2, v8) = v5) | ~ aNaturalNumber0(v8)))))
% 171.06/144.00 | (27) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ isPrime0(v2) | ~ iLess0(v4, all_0_17_17) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : ? [v6] : ((v6 = v1 & sdtasdt0(v2, v5) = v1 & aNaturalNumber0(v5)) | (v6 = v0 & sdtasdt0(v2, v5) = v0 & aNaturalNumber0(v5)) | (sdtasdt0(v0, v1) = v5 & ~ doDivides0(v2, v5) & ! [v7] : ( ~ (sdtasdt0(v2, v7) = v5) | ~ aNaturalNumber0(v7)))))
% 171.06/144.00 | (28) aNaturalNumber0(all_0_10_10)
% 171.06/144.00 | (29) doDivides0(xp, all_0_16_16)
% 171.06/144.00 | (30) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ isPrime0(v2) | ~ iLess0(v4, all_0_17_17) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | doDivides0(v2, v1) | doDivides0(v2, v0) | ? [v5] : (sdtasdt0(v0, v1) = v5 & ~ doDivides0(v2, v5) & ! [v6] : ( ~ (sdtasdt0(v2, v6) = v5) | ~ aNaturalNumber0(v6))))
% 171.06/144.00 | (31) ~ (xp = sz10)
% 171.06/144.00 | (32) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ isPrime0(v2) | ~ iLess0(v4, all_0_17_17) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | doDivides0(v2, v0) | ? [v5] : ? [v6] : ((v6 = v1 & sdtasdt0(v2, v5) = v1 & aNaturalNumber0(v5)) | (sdtasdt0(v0, v1) = v5 & ~ doDivides0(v2, v5) & ! [v7] : ( ~ (sdtasdt0(v2, v7) = v5) | ~ aNaturalNumber0(v7)))))
% 171.06/144.00 | (33) ! [v0] : ! [v1] : (v1 = v0 | ~ (sdtpldt0(sz00, v0) = v1) | ~ aNaturalNumber0(v0))
% 171.06/144.00 | (34) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ isPrime0(v2) | ~ iLess0(v4, all_0_17_17) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | doDivides0(v2, v1) | ? [v5] : ? [v6] : ((v6 = v0 & sdtasdt0(v2, v5) = v0 & aNaturalNumber0(v5)) | (sdtasdt0(v0, v1) = v5 & ~ doDivides0(v2, v5) & ! [v7] : ( ~ (sdtasdt0(v2, v7) = v5) | ~ aNaturalNumber0(v7)))))
% 171.06/144.00 | (35) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtpldt0(v1, v2) = v3) | ~ sdtlseqdt0(v0, v1) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v4] : ? [v5] : ? [v6] : ( ~ (v6 = v3) & ~ (v5 = v4) & sdtpldt0(v2, v1) = v5 & sdtpldt0(v2, v0) = v4 & sdtpldt0(v0, v2) = v6 & sdtlseqdt0(v6, v3) & sdtlseqdt0(v4, v5)))
% 171.06/144.01 | (36) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | ~ (sdtmndt0(v1, v0) = v2) | ~ (sdtpldt0(v0, v2) = v3) | ~ sdtlseqdt0(v0, v1) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0))
% 171.06/144.01 | (37) isPrime0(xr)
% 171.06/144.01 | (38) sdtlseqdt0(xn, xp)
% 171.06/144.01 | (39) ! [v0] : ! [v1] : ! [v2] : ( ~ doDivides0(v1, v2) | ~ doDivides0(v0, v1) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | doDivides0(v0, v2))
% 171.06/144.01 | (40) ~ (xp = sz00)
% 171.06/144.01 | (41) sdtasdt0(xr, all_0_15_15) = xn
% 171.06/144.01 | (42) sdtsldt0(xn, xr) = all_0_15_15
% 171.06/144.01 | (43) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | aNaturalNumber0(v2))
% 171.06/144.01 | (44) aNaturalNumber0(all_0_15_15)
% 171.06/144.01 | (45) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | v0 = sz00 | ~ (sdtasdt0(v2, v0) = v4) | ~ (sdtasdt0(v1, v0) = v3) | ~ sdtlseqdt0(v1, v2) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | sdtlseqdt0(v3, v4))
% 171.06/144.01 | (46) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtasdt0(v3, v0) = v4) | ~ (sdtpldt0(v1, v2) = v3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (sdtasdt0(v2, v0) = v9 & sdtasdt0(v1, v0) = v8 & sdtasdt0(v0, v3) = v5 & sdtasdt0(v0, v2) = v7 & sdtasdt0(v0, v1) = v6 & sdtpldt0(v8, v9) = v4 & sdtpldt0(v6, v7) = v5))
% 171.06/144.01 | (47) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v1, v0) = v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | sdtpldt0(v0, v1) = v2)
% 171.06/144.01 | (48) ! [v0] : ! [v1] : (v1 = sz00 | v0 = sz00 | ~ (sdtasdt0(v0, v1) = sz00) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0))
% 171.06/144.01 | (49) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | ~ (sdtpldt0(v0, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : ? [v6] : ( ~ (v6 = v5) & sdtpldt0(v2, v0) = v6 & sdtpldt0(v1, v0) = v5))
% 171.06/144.01 | (50) ! [v0] : ! [v1] : ( ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | sdtlseqdt0(v1, v0) | sdtlseqdt0(v0, v1))
% 171.06/144.01 | (51) ~ isPrime0(sz00)
% 171.06/144.01 | (52) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | ~ (sdtpldt0(v2, v0) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : ? [v6] : ( ~ (v6 = v4) & ~ (v5 = v3) & sdtpldt0(v1, v0) = v6 & sdtpldt0(v0, v2) = v5))
% 171.06/144.01 | (53) ! [v0] : ! [v1] : ( ~ (sdtasdt0(sz00, v0) = v1) | ~ aNaturalNumber0(v0) | sdtasdt0(v0, sz00) = sz00)
% 171.06/144.01 | (54) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v2) = v1) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | sdtlseqdt0(v0, v1))
% 171.06/144.01 | (55) ! [v0] : ! [v1] : (v1 = v0 | v1 = sz10 | ~ isPrime0(v0) | ~ doDivides0(v1, v0) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0))
% 171.06/144.01 | (56) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtsldt0(v3, v2) = v1) | ~ (sdtsldt0(v3, v2) = v0))
% 171.06/144.01 | (57) sdtpldt0(all_0_13_13, xp) = all_0_12_12
% 171.06/144.01 | (58) ~ (xk = sz00)
% 171.06/144.01 | (59) ! [v0] : ! [v1] : (v1 = v0 | ~ sdtlseqdt0(v0, v1) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | iLess0(v0, v1))
% 171.06/144.01 | (60) sdtasdt0(xn, xm) = all_0_16_16
% 171.06/144.01 | (61) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = sz10 | v2 = sz00 | ~ (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ iLess0(v4, all_0_17_17) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | doDivides0(v2, v0) | ? [v5] : ? [v6] : ? [v7] : ((v7 = v2 & ~ (v5 = v2) & ~ (v5 = sz10) & sdtasdt0(v5, v6) = v2 & doDivides0(v5, v2) & aNaturalNumber0(v6) & aNaturalNumber0(v5)) | (v6 = v1 & sdtasdt0(v2, v5) = v1 & aNaturalNumber0(v5)) | (sdtasdt0(v0, v1) = v5 & ~ doDivides0(v2, v5) & ! [v8] : ( ~ (sdtasdt0(v2, v8) = v5) | ~ aNaturalNumber0(v8)))))
% 171.06/144.01 | (62) sdtasdt0(xr, all_0_5_5) = all_0_16_16
% 171.06/144.01 | (63) ! [v0] : ! [v1] : ( ~ sdtlseqdt0(v0, v1) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v2] : (sdtpldt0(v0, v2) = v1 & aNaturalNumber0(v2)))
% 171.06/144.01 | (64) ~ (xr = sz10)
% 171.06/144.01 | (65) ~ sdtlseqdt0(xp, xm)
% 171.06/144.01 | (66) sdtpldt0(all_0_15_15, all_0_10_10) = xn
% 171.06/144.01 | (67) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sdtmndt0(v1, v0) = v2) | ~ (sdtpldt0(v0, v2) = v3) | ~ sdtlseqdt0(v0, v1) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | aNaturalNumber0(v2))
% 171.06/144.01 | (68) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | v0 = sz00 | ~ (sdtsldt0(v1, v0) = v2) | ~ (sdtasdt0(v0, v2) = v3) | ~ doDivides0(v0, v1) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0))
% 171.06/144.01 | (69) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | v0 = sz00 | ~ (sdtasdt0(v2, v0) = v3) | ~ (sdtasdt0(v1, v0) = v3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0))
% 171.06/144.01 | (70) sdtpldt0(all_0_18_18, xp) = all_0_17_17
% 171.06/144.01 | (71) aNaturalNumber0(all_0_0_0)
% 171.06/144.01 | (72) doDivides0(xr, xk)
% 171.06/144.01 | (73) aNaturalNumber0(xp)
% 171.06/144.01 | (74) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | v0 = sz00 | ~ (sdtasdt0(v0, v2) = v3) | ~ (sdtasdt0(v0, v1) = v3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0))
% 171.06/144.01 | (75) sdtlseqdt0(xm, xp)
% 171.06/144.01 | (76) ! [v0] : ! [v1] : (v1 = v0 | ~ (sdtpldt0(v0, sz00) = v1) | ~ aNaturalNumber0(v0))
% 171.06/144.01 | (77) ! [v0] : ! [v1] : (v0 = xp | v0 = sz10 | ~ (sdtasdt0(v0, v1) = xp) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0))
% 171.06/144.01 | (78) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtpldt0(v0, v2) = v3) | ~ sdtlseqdt0(v0, v1) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v4] : ? [v5] : ? [v6] : ( ~ (v6 = v3) & ~ (v5 = v4) & sdtpldt0(v2, v1) = v5 & sdtpldt0(v2, v0) = v4 & sdtpldt0(v1, v2) = v6 & sdtlseqdt0(v4, v5) & sdtlseqdt0(v3, v6)))
% 171.06/144.01 | (79) ! [v0] : ! [v1] : (v1 = sz00 | ~ doDivides0(v0, v1) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | sdtlseqdt0(v0, v1))
% 171.06/144.01 | (80) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt0(v1, v2) = v3) | ~ (sdtpldt0(v0, v3) = v4) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : (sdtpldt0(v5, v2) = v4 & sdtpldt0(v0, v1) = v5))
% 171.06/144.01 | (81) sdtpldt0(xr, all_0_4_4) = xk
% 171.06/144.01 | (82) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = sz10 | v2 = sz00 | ~ (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ iLess0(v4, all_0_17_17) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : ? [v6] : ? [v7] : ((v7 = v2 & ~ (v5 = v2) & ~ (v5 = sz10) & sdtasdt0(v5, v6) = v2 & doDivides0(v5, v2) & aNaturalNumber0(v6) & aNaturalNumber0(v5)) | (v6 = v1 & sdtasdt0(v2, v5) = v1 & aNaturalNumber0(v5)) | (v6 = v0 & sdtasdt0(v2, v5) = v0 & aNaturalNumber0(v5)) | (sdtasdt0(v0, v1) = v5 & ~ doDivides0(v2, v5) & ! [v8] : ( ~ (sdtasdt0(v2, v8) = v5) | ~ aNaturalNumber0(v8)))))
% 171.06/144.01 | (83) ! [v0] : ( ~ (sdtpldt0(xp, v0) = xn) | ~ aNaturalNumber0(v0))
% 171.06/144.01 | (84) all_0_12_12 = all_0_17_17 | ( ~ sdtlseqdt0(all_0_12_12, all_0_17_17) & ! [v0] : ( ~ aNaturalNumber0(v0) | ? [v1] : ( ~ (v1 = all_0_17_17) & sdtpldt0(all_0_12_12, v0) = v1)))
% 171.06/144.01 | (85) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | sdtpldt0(v1, v0) = v2)
% 171.06/144.01 | (86) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtasdt0(v1, v2) = v3) | ~ (sdtasdt0(v0, v3) = v4) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : (sdtasdt0(v5, v2) = v4 & sdtasdt0(v0, v1) = v5))
% 171.06/144.01 | (87) ! [v0] : ! [v1] : ( ~ (sdtasdt0(v0, sz10) = v1) | ~ aNaturalNumber0(v0) | sdtasdt0(sz10, v0) = v0)
% 171.06/144.01 | (88) ! [v0] : ( ~ (sdtpldt0(xp, v0) = xm) | ~ aNaturalNumber0(v0))
% 171.06/144.01 | (89) ! [v0] : (v0 = xp | v0 = sz10 | ~ doDivides0(v0, xp) | ~ aNaturalNumber0(v0))
% 171.06/144.01 | (90) ~ sdtlseqdt0(xp, xn)
% 171.06/144.02 | (91) aNaturalNumber0(sz00)
% 171.06/144.02 | (92) doDivides0(xr, all_0_16_16)
% 171.06/144.02 | (93) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (sdtasdt0(v0, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ (sdtpldt0(v3, v4) = v5) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (sdtasdt0(v6, v0) = v7 & sdtasdt0(v2, v0) = v9 & sdtasdt0(v1, v0) = v8 & sdtasdt0(v0, v6) = v5 & sdtpldt0(v8, v9) = v7 & sdtpldt0(v1, v2) = v6))
% 171.06/144.02 | (94) sdtpldt0(xn, xm) = all_0_18_18
% 171.06/144.02 | (95) sdtlseqdt0(all_0_15_15, xn)
% 171.06/144.02 | (96) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasdt0(v0, v2) = v1) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | doDivides0(v0, v1))
% 171.06/144.02 | (97) aNaturalNumber0(all_0_9_9)
% 171.06/144.02 | (98) sdtpldt0(all_0_15_15, xm) = all_0_13_13
% 171.06/144.02 | (99) ~ (xk = xp)
% 171.06/144.02 | (100) aNaturalNumber0(xk)
% 171.06/144.02 | (101) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | v0 = sz00 | ~ (sdtasdt0(v2, v0) = v4) | ~ (sdtasdt0(v1, v0) = v3) | ~ sdtlseqdt0(v1, v2) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : ? [v6] : ( ~ (v6 = v5) & sdtasdt0(v0, v2) = v6 & sdtasdt0(v0, v1) = v5 & sdtlseqdt0(v5, v6)))
% 171.06/144.02 | (102) aNaturalNumber0(xn)
% 171.06/144.02 | (103) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : (sdtpldt0(v1, v2) = v5 & sdtpldt0(v0, v5) = v4))
% 171.06/144.02 | (104) ~ (xp = xm)
% 171.06/144.02 | (105) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | ~ (sdtpldt0(v2, v0) = v3) | ~ (sdtpldt0(v1, v0) = v3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0))
% 171.06/144.02 | (106) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasdt0(v0, v1) = v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | sdtasdt0(v1, v0) = v2)
% 171.06/144.02 | (107) ! [v0] : ! [v1] : (v1 = sz00 | ~ (sdtpldt0(v0, v1) = sz00) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0))
% 171.06/144.02 | (108) ! [v0] : ! [v1] : ( ~ doDivides0(v0, v1) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v2] : (sdtasdt0(v0, v2) = v1 & aNaturalNumber0(v2)))
% 171.06/144.02 | (109) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | v0 = sz00 | ~ (sdtasdt0(v1, v0) = v4) | ~ (sdtasdt0(v0, v2) = v3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : ? [v6] : ( ~ (v6 = v4) & ~ (v5 = v3) & sdtasdt0(v2, v0) = v6 & sdtasdt0(v0, v1) = v5))
% 171.06/144.02 | (110) ! [v0] : ! [v1] : ( ~ (sdtasdt0(sz10, v0) = v1) | ~ aNaturalNumber0(v0) | sdtasdt0(v0, sz10) = v0)
% 171.06/144.02 | (111) ~ (sz10 = sz00)
% 171.06/144.02 | (112) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | v0 = sz00 | ~ (sdtasdt0(v2, v0) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : ? [v6] : ( ~ (v6 = v4) & ~ (v5 = v3) & sdtasdt0(v1, v0) = v6 & sdtasdt0(v0, v2) = v5))
% 171.06/144.02 | (113) sdtasdt0(xp, all_0_11_11) = all_0_14_14
% 171.06/144.02 | (114) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtpldt0(v2, v1) = v3) | ~ sdtlseqdt0(v0, v1) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v4] : ? [v5] : ? [v6] : ( ~ (v6 = v5) & ~ (v4 = v3) & sdtpldt0(v2, v0) = v4 & sdtpldt0(v1, v2) = v6 & sdtpldt0(v0, v2) = v5 & sdtlseqdt0(v5, v6) & sdtlseqdt0(v4, v3)))
% 171.06/144.02 | (115) ! [v0] : (v0 = sz10 | v0 = sz00 | ~ aNaturalNumber0(v0) | ? [v1] : (isPrime0(v1) & doDivides0(v1, v0) & aNaturalNumber0(v1)))
% 171.06/144.02 | (116) isPrime0(xp)
% 171.06/144.02 | (117) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | ~ (sdtpldt0(v0, v2) = v3) | ~ (sdtpldt0(v0, v1) = v3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0))
% 171.06/144.02 | (118) ! [v0] : (v0 = sz10 | v0 = sz00 | ~ aNaturalNumber0(v0) | sdtlseqdt0(sz10, v0))
% 171.06/144.02 | (119) aNaturalNumber0(all_0_4_4)
% 171.06/144.02 | (120) ~ isPrime0(sz10)
% 171.06/144.02 | (121) ! [v0] : ! [v1] : (v0 = sz00 | ~ (sdtpldt0(v0, v1) = sz00) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0))
% 171.06/144.02 | (122) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | ~ (sdtpldt0(v1, v0) = v4) | ~ (sdtpldt0(v0, v2) = v3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : ? [v6] : ( ~ (v6 = v4) & ~ (v5 = v3) & sdtpldt0(v2, v0) = v6 & sdtpldt0(v0, v1) = v5))
% 171.06/144.02 | (123) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (sdtasdt0(v2, v0) = v4) | ~ (sdtasdt0(v1, v0) = v3) | ~ (sdtpldt0(v3, v4) = v5) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (sdtasdt0(v6, v0) = v5 & sdtasdt0(v0, v6) = v7 & sdtasdt0(v0, v2) = v9 & sdtasdt0(v0, v1) = v8 & sdtpldt0(v8, v9) = v7 & sdtpldt0(v1, v2) = v6))
% 171.06/144.02 | (124) ! [v0] : ! [v1] : (v1 = v0 | ~ (sdtasdt0(sz10, v0) = v1) | ~ aNaturalNumber0(v0))
% 171.06/144.02 | (125) sdtasdt0(xp, xk) = all_0_16_16
% 171.06/144.02 | (126) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasdt0(v0, v1) = v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | aNaturalNumber0(v2))
% 171.06/144.02 | (127) aNaturalNumber0(all_0_11_11)
% 171.06/144.02 | (128) sdtasdt0(all_0_15_15, xm) = all_0_14_14
% 171.06/144.02 | (129) doDivides0(xp, all_0_14_14)
% 171.06/144.02 | (130) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v0 = sz00 | ~ (sdtsldt0(v1, v0) = v2) | ~ (sdtasdt0(v0, v2) = v3) | ~ doDivides0(v0, v1) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | aNaturalNumber0(v2))
% 171.06/144.02 | (131) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0))
% 171.06/144.02 | (132) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | v0 = sz00 | ~ (sdtasdt0(v0, v2) = v3) | ~ (sdtasdt0(v0, v1) = v3) | ~ sdtlseqdt0(v1, v2) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0))
% 171.06/144.02 | (133) aNaturalNumber0(sz10)
% 171.06/144.02 | (134) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sdtpldt0(v1, v2) = v3) | ~ doDivides0(v0, v2) | ~ doDivides0(v0, v1) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | doDivides0(v0, v3))
% 171.06/144.02 | (135) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtasdt0(v3, v2) = v1) | ~ (sdtasdt0(v3, v2) = v0))
% 171.06/144.02 | (136) ! [v0] : ( ~ aNaturalNumber0(v0) | sdtlseqdt0(v0, v0))
% 171.06/144.02 | (137) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | v0 = sz00 | ~ (sdtasdt0(v2, v0) = v3) | ~ (sdtasdt0(v1, v0) = v3) | ~ sdtlseqdt0(v1, v2) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0))
% 171.21/144.02 | (138) ~ (all_0_15_15 = xn)
% 171.21/144.02 | (139) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = sz10 | v2 = sz00 | ~ (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ iLess0(v4, all_0_17_17) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | doDivides0(v2, v1) | doDivides0(v2, v0) | ? [v5] : ? [v6] : ? [v7] : ((v7 = v2 & ~ (v5 = v2) & ~ (v5 = sz10) & sdtasdt0(v5, v6) = v2 & doDivides0(v5, v2) & aNaturalNumber0(v6) & aNaturalNumber0(v5)) | (sdtasdt0(v0, v1) = v5 & ~ doDivides0(v2, v5) & ! [v8] : ( ~ (sdtasdt0(v2, v8) = v5) | ~ aNaturalNumber0(v8)))))
% 171.21/144.02 | (140) ! [v0] : ! [v1] : ! [v2] : ( ~ sdtlseqdt0(v1, v2) | ~ sdtlseqdt0(v0, v1) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | sdtlseqdt0(v0, v2))
% 171.21/144.02 | (141) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v0 = sz00 | ~ (sdtsldt0(v4, v0) = v5) | ~ (sdtsldt0(v1, v0) = v2) | ~ (sdtasdt0(v3, v1) = v4) | ~ doDivides0(v0, v1) | ~ aNaturalNumber0(v3) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | sdtasdt0(v3, v2) = v5)
% 171.21/144.02 | (142) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtasdt0(v0, v3) = v4) | ~ (sdtpldt0(v1, v2) = v3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (sdtasdt0(v3, v0) = v7 & sdtasdt0(v2, v0) = v9 & sdtasdt0(v1, v0) = v8 & sdtasdt0(v0, v2) = v6 & sdtasdt0(v0, v1) = v5 & sdtpldt0(v8, v9) = v7 & sdtpldt0(v5, v6) = v4))
% 171.21/144.02 | (143) sdtlseqdt0(xk, xp)
% 171.21/144.02 | (144) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v0 = sz00 | ~ (sdtsldt0(v1, v0) = v2) | ~ (sdtasdt0(v3, v2) = v4) | ~ doDivides0(v0, v1) | ~ aNaturalNumber0(v3) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : (sdtsldt0(v5, v0) = v4 & sdtasdt0(v3, v1) = v5))
% 171.21/144.02 | (145) sdtasdt0(xr, all_0_9_9) = xn
% 171.21/144.02 | (146) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | v0 = sz00 | ~ (sdtsldt0(v1, v0) = v2) | ~ (sdtasdt0(v0, v3) = v1) | ~ doDivides0(v0, v1) | ~ aNaturalNumber0(v3) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0))
% 171.21/144.02 | (147) doDivides0(xr, xn)
% 171.21/144.02 | (148) aNaturalNumber0(all_0_3_3)
% 171.21/144.02 | (149) ! [v0] : ! [v1] : ( ~ (sdtasdt0(v0, sz00) = v1) | ~ aNaturalNumber0(v0) | sdtasdt0(sz00, v0) = sz00)
% 171.21/144.03 | (150) ! [v0] : ! [v1] : ( ~ (sdtpldt0(v0, sz00) = v1) | ~ aNaturalNumber0(v0) | sdtpldt0(sz00, v0) = v0)
% 171.21/144.03 | (151) ~ (xr = sz00)
% 171.21/144.03 | (152) ~ (xk = sz10)
% 171.21/144.03 | (153) aNaturalNumber0(xm)
% 171.21/144.03 | (154) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtpldt0(v2, v0) = v3) | ~ sdtlseqdt0(v0, v1) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v4] : ? [v5] : ? [v6] : ( ~ (v6 = v5) & ~ (v4 = v3) & sdtpldt0(v2, v1) = v4 & sdtpldt0(v1, v2) = v6 & sdtpldt0(v0, v2) = v5 & sdtlseqdt0(v5, v6) & sdtlseqdt0(v3, v4)))
% 171.21/144.03 | (155) sdtpldt0(xk, all_0_6_6) = xp
% 171.21/144.03 | (156) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | v0 = sz00 | ~ (sdtasdt0(v2, v0) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ sdtlseqdt0(v1, v2) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : ? [v6] : ( ~ (v6 = v4) & ~ (v5 = v3) & sdtasdt0(v1, v0) = v6 & sdtasdt0(v0, v2) = v5 & sdtlseqdt0(v6, v4) & sdtlseqdt0(v3, v5)))
% 171.21/144.03 | (157) ~ (xp = xn)
% 171.21/144.03 | (158) ! [v0] : ! [v1] : (v1 = v0 | ~ sdtlseqdt0(v1, v0) | ~ sdtlseqdt0(v0, v1) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0))
% 171.21/144.03 | (159) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | v0 = sz00 | ~ (sdtasdt0(v1, v0) = v4) | ~ (sdtasdt0(v0, v2) = v3) | ~ sdtlseqdt0(v1, v2) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : ? [v6] : ( ~ (v6 = v4) & ~ (v5 = v3) & sdtasdt0(v2, v0) = v6 & sdtasdt0(v0, v1) = v5 & sdtlseqdt0(v5, v3) & sdtlseqdt0(v4, v6)))
% 171.21/144.03 | (160) ! [v0] : (v0 = xr | v0 = sz10 | ~ doDivides0(v0, xr) | ~ aNaturalNumber0(v0))
% 171.21/144.03 | (161) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | ~ (sdtpldt0(v2, v0) = v4) | ~ (sdtpldt0(v1, v0) = v3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : ? [v6] : ( ~ (v6 = v5) & sdtpldt0(v0, v2) = v6 & sdtpldt0(v0, v1) = v5))
% 171.21/144.03 | (162) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | v0 = sz00 | ~ (sdtasdt0(v0, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ sdtlseqdt0(v1, v2) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | sdtlseqdt0(v3, v4))
% 171.21/144.03 | (163) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtmndt0(v3, v2) = v1) | ~ (sdtmndt0(v3, v2) = v0))
% 171.23/144.03 | (164) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (sdtmndt0(v1, v0) = v2) | ~ (sdtpldt0(v0, v3) = v1) | ~ sdtlseqdt0(v0, v1) | ~ aNaturalNumber0(v3) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0))
% 171.23/144.03 |
% 171.23/144.03 | Instantiating formula (74) with all_0_16_16, all_0_0_0, xk, xp and discharging atoms sdtasdt0(xp, all_0_0_0) = all_0_16_16, sdtasdt0(xp, xk) = all_0_16_16, aNaturalNumber0(all_0_0_0), aNaturalNumber0(xk), aNaturalNumber0(xp), yields:
% 171.23/144.03 | (165) all_0_0_0 = xk | xp = sz00
% 171.23/144.03 |
% 171.23/144.03 | Instantiating formula (146) with all_0_9_9, all_0_15_15, xn, xr and discharging atoms sdtsldt0(xn, xr) = all_0_15_15, sdtasdt0(xr, all_0_9_9) = xn, doDivides0(xr, xn), aNaturalNumber0(all_0_9_9), aNaturalNumber0(xr), aNaturalNumber0(xn), yields:
% 171.23/144.03 | (166) all_0_9_9 = all_0_15_15 | xr = sz00
% 171.23/144.03 |
% 171.23/144.03 | Instantiating formula (115) with all_0_0_0 and discharging atoms aNaturalNumber0(all_0_0_0), yields:
% 171.23/144.03 | (167) all_0_0_0 = sz10 | all_0_0_0 = sz00 | ? [v0] : (isPrime0(v0) & doDivides0(v0, all_0_0_0) & aNaturalNumber0(v0))
% 171.23/144.03 |
% 171.23/144.03 | Instantiating formula (3) with all_0_16_16, xr, all_0_5_5 and discharging atoms sdtasdt0(xr, all_0_5_5) = all_0_16_16, aNaturalNumber0(all_0_5_5), aNaturalNumber0(xr), yields:
% 171.23/144.03 | (168) sdtasdt0(all_0_5_5, xr) = all_0_16_16
% 171.23/144.03 |
% 171.23/144.03 | Instantiating formula (3) with xn, xr, all_0_9_9 and discharging atoms sdtasdt0(xr, all_0_9_9) = xn, aNaturalNumber0(all_0_9_9), aNaturalNumber0(xr), yields:
% 171.23/144.03 | (169) sdtasdt0(all_0_9_9, xr) = xn
% 171.23/144.03 |
% 171.23/144.03 | Instantiating formula (18) with xn, xn, all_0_15_15, all_0_9_9, xr and discharging atoms sdtasdt0(xr, all_0_9_9) = xn, sdtasdt0(xr, all_0_15_15) = xn, aNaturalNumber0(all_0_9_9), aNaturalNumber0(all_0_15_15), aNaturalNumber0(xr), yields:
% 171.23/144.03 | (170) all_0_9_9 = all_0_15_15 | xr = sz00 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(all_0_9_9, xr) = v0 & sdtasdt0(all_0_15_15, xr) = v1)
% 171.23/144.03 |
% 171.23/144.03 | Instantiating formula (115) with xr and discharging atoms aNaturalNumber0(xr), yields:
% 171.23/144.03 | (171) xr = sz10 | xr = sz00 | ? [v0] : (isPrime0(v0) & doDivides0(v0, xr) & aNaturalNumber0(v0))
% 171.23/144.03 |
% 171.23/144.03 | Instantiating formula (46) with all_0_16_16, xp, all_0_6_6, xk, all_0_0_0 and discharging atoms sdtasdt0(xp, all_0_0_0) = all_0_16_16, sdtpldt0(xk, all_0_6_6) = xp, aNaturalNumber0(all_0_0_0), aNaturalNumber0(all_0_6_6), aNaturalNumber0(xk), yields:
% 171.23/144.03 | (172) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(all_0_0_0, all_0_6_6) = v2 & sdtasdt0(all_0_0_0, xk) = v1 & sdtasdt0(all_0_0_0, xp) = v0 & sdtasdt0(all_0_6_6, all_0_0_0) = v4 & sdtasdt0(xk, all_0_0_0) = v3 & sdtpldt0(v3, v4) = all_0_16_16 & sdtpldt0(v1, v2) = v0)
% 171.23/144.03 |
% 171.23/144.03 | Instantiating formula (46) with all_0_16_16, xp, all_0_6_6, xk, xk and discharging atoms sdtasdt0(xp, xk) = all_0_16_16, sdtpldt0(xk, all_0_6_6) = xp, aNaturalNumber0(all_0_6_6), aNaturalNumber0(xk), yields:
% 171.23/144.03 | (173) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(all_0_6_6, xk) = v4 & sdtasdt0(xk, all_0_6_6) = v2 & sdtasdt0(xk, xk) = v3 & sdtasdt0(xk, xk) = v1 & sdtasdt0(xk, xp) = v0 & sdtpldt0(v3, v4) = all_0_16_16 & sdtpldt0(v1, v2) = v0)
% 171.23/144.03 |
% 171.23/144.03 | Instantiating formula (108) with xk, xr and discharging atoms doDivides0(xr, xk), aNaturalNumber0(xr), aNaturalNumber0(xk), yields:
% 171.23/144.03 | (174) ? [v0] : (sdtasdt0(xr, v0) = xk & aNaturalNumber0(v0))
% 171.23/144.03 |
% 171.23/144.03 | Instantiating formula (115) with xk and discharging atoms aNaturalNumber0(xk), yields:
% 171.23/144.03 | (175) xk = sz10 | xk = sz00 | ? [v0] : (isPrime0(v0) & doDivides0(v0, xk) & aNaturalNumber0(v0))
% 171.23/144.03 |
% 171.23/144.03 | Instantiating formula (86) with all_0_16_16, xk, all_0_3_3, xr, xp and discharging atoms sdtasdt0(xr, all_0_3_3) = xk, sdtasdt0(xp, xk) = all_0_16_16, aNaturalNumber0(all_0_3_3), aNaturalNumber0(xr), aNaturalNumber0(xp), yields:
% 171.23/144.03 | (176) ? [v0] : (sdtasdt0(v0, all_0_3_3) = all_0_16_16 & sdtasdt0(xp, xr) = v0)
% 171.23/144.03 |
% 171.23/144.03 | Instantiating formula (3) with all_0_16_16, xp, all_0_0_0 and discharging atoms sdtasdt0(xp, all_0_0_0) = all_0_16_16, aNaturalNumber0(all_0_0_0), aNaturalNumber0(xp), yields:
% 171.23/144.03 | (177) sdtasdt0(all_0_0_0, xp) = all_0_16_16
% 171.23/144.03 |
% 171.23/144.03 | Instantiating formula (142) with all_0_16_16, xk, all_0_4_4, xr, xp and discharging atoms sdtasdt0(xp, xk) = all_0_16_16, sdtpldt0(xr, all_0_4_4) = xk, aNaturalNumber0(all_0_4_4), aNaturalNumber0(xr), aNaturalNumber0(xp), yields:
% 171.23/144.03 | (178) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(all_0_4_4, xp) = v4 & sdtasdt0(xr, xp) = v3 & sdtasdt0(xk, xp) = v2 & sdtasdt0(xp, all_0_4_4) = v1 & sdtasdt0(xp, xr) = v0 & sdtpldt0(v3, v4) = v2 & sdtpldt0(v0, v1) = all_0_16_16)
% 171.23/144.03 |
% 171.23/144.03 | Instantiating formula (78) with xp, all_0_6_6, xp, xk and discharging atoms sdtpldt0(xk, all_0_6_6) = xp, sdtlseqdt0(xk, xp), aNaturalNumber0(all_0_6_6), aNaturalNumber0(xk), aNaturalNumber0(xp), yields:
% 171.23/144.03 | (179) xk = xp | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = xp) & ~ (v1 = v0) & sdtpldt0(all_0_6_6, xk) = v0 & sdtpldt0(all_0_6_6, xp) = v1 & sdtpldt0(xp, all_0_6_6) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(xp, v2))
% 171.23/144.03 |
% 171.23/144.03 | Instantiating formula (63) with xp, xk and discharging atoms sdtlseqdt0(xk, xp), aNaturalNumber0(xk), aNaturalNumber0(xp), yields:
% 171.23/144.03 | (180) ? [v0] : (sdtpldt0(xk, v0) = xp & aNaturalNumber0(v0))
% 171.23/144.03 |
% 171.23/144.03 | Instantiating formula (118) with xp and discharging atoms aNaturalNumber0(xp), yields:
% 171.23/144.03 | (181) xp = sz10 | xp = sz00 | sdtlseqdt0(sz10, xp)
% 171.23/144.03 |
% 171.23/144.03 | Instantiating formula (115) with xp and discharging atoms aNaturalNumber0(xp), yields:
% 171.23/144.03 | (182) xp = sz10 | xp = sz00 | ? [v0] : (isPrime0(v0) & doDivides0(v0, xp) & aNaturalNumber0(v0))
% 171.23/144.03 |
% 171.23/144.03 | Instantiating formula (3) with all_0_14_14, all_0_15_15, xm and discharging atoms sdtasdt0(all_0_15_15, xm) = all_0_14_14, aNaturalNumber0(all_0_15_15), aNaturalNumber0(xm), yields:
% 171.23/144.03 | (183) sdtasdt0(xm, all_0_15_15) = all_0_14_14
% 171.23/144.03 |
% 171.23/144.03 | Instantiating formula (126) with all_0_14_14, xm, all_0_15_15 and discharging atoms sdtasdt0(all_0_15_15, xm) = all_0_14_14, aNaturalNumber0(all_0_15_15), aNaturalNumber0(xm), yields:
% 171.23/144.03 | (184) aNaturalNumber0(all_0_14_14)
% 171.23/144.03 |
% 171.23/144.03 | Instantiating formula (46) with all_0_16_16, xp, all_0_2_2, xm, all_0_0_0 and discharging atoms sdtasdt0(xp, all_0_0_0) = all_0_16_16, sdtpldt0(xm, all_0_2_2) = xp, aNaturalNumber0(all_0_0_0), aNaturalNumber0(all_0_2_2), aNaturalNumber0(xm), yields:
% 171.23/144.03 | (185) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(all_0_0_0, all_0_2_2) = v2 & sdtasdt0(all_0_0_0, xp) = v0 & sdtasdt0(all_0_0_0, xm) = v1 & sdtasdt0(all_0_2_2, all_0_0_0) = v4 & sdtasdt0(xm, all_0_0_0) = v3 & sdtpldt0(v3, v4) = all_0_16_16 & sdtpldt0(v1, v2) = v0)
% 171.23/144.03 |
% 171.23/144.03 | Instantiating formula (46) with all_0_16_16, xp, all_0_2_2, xm, xk and discharging atoms sdtasdt0(xp, xk) = all_0_16_16, sdtpldt0(xm, all_0_2_2) = xp, aNaturalNumber0(all_0_2_2), aNaturalNumber0(xk), aNaturalNumber0(xm), yields:
% 171.23/144.03 | (186) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(all_0_2_2, xk) = v4 & sdtasdt0(xk, all_0_2_2) = v2 & sdtasdt0(xk, xp) = v0 & sdtasdt0(xk, xm) = v1 & sdtasdt0(xm, xk) = v3 & sdtpldt0(v3, v4) = all_0_16_16 & sdtpldt0(v1, v2) = v0)
% 171.23/144.03 |
% 171.23/144.04 | Instantiating formula (12) with all_0_16_16, xn, xm, all_0_9_9, xr and discharging atoms sdtasdt0(xr, all_0_9_9) = xn, sdtasdt0(xn, xm) = all_0_16_16, aNaturalNumber0(all_0_9_9), aNaturalNumber0(xr), aNaturalNumber0(xm), yields:
% 171.23/144.04 | (187) ? [v0] : (sdtasdt0(all_0_9_9, xm) = v0 & sdtasdt0(xr, v0) = all_0_16_16)
% 171.23/144.04 |
% 171.23/144.04 | Instantiating formula (12) with all_0_16_16, xn, xm, all_0_15_15, xr and discharging atoms sdtasdt0(xr, all_0_15_15) = xn, sdtasdt0(xn, xm) = all_0_16_16, aNaturalNumber0(all_0_15_15), aNaturalNumber0(xr), aNaturalNumber0(xm), yields:
% 171.23/144.04 | (188) ? [v0] : (sdtasdt0(all_0_15_15, xm) = v0 & sdtasdt0(xr, v0) = all_0_16_16)
% 171.23/144.04 |
% 171.23/144.04 | Instantiating formula (46) with all_0_16_16, xn, all_0_10_10, all_0_15_15, xm and discharging atoms sdtasdt0(xn, xm) = all_0_16_16, sdtpldt0(all_0_15_15, all_0_10_10) = xn, aNaturalNumber0(all_0_10_10), aNaturalNumber0(all_0_15_15), aNaturalNumber0(xm), yields:
% 171.23/144.04 | (189) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(all_0_10_10, xm) = v4 & sdtasdt0(all_0_15_15, xm) = v3 & sdtasdt0(xm, all_0_10_10) = v2 & sdtasdt0(xm, all_0_15_15) = v1 & sdtasdt0(xm, xn) = v0 & sdtpldt0(v3, v4) = all_0_16_16 & sdtpldt0(v1, v2) = v0)
% 171.23/144.04 |
% 171.23/144.04 | Instantiating formula (103) with all_0_12_12, all_0_13_13, xp, xm, all_0_15_15 and discharging atoms sdtpldt0(all_0_13_13, xp) = all_0_12_12, sdtpldt0(all_0_15_15, xm) = all_0_13_13, aNaturalNumber0(all_0_15_15), aNaturalNumber0(xp), aNaturalNumber0(xm), yields:
% 171.23/144.04 | (190) ? [v0] : (sdtpldt0(all_0_15_15, v0) = all_0_12_12 & sdtpldt0(xm, xp) = v0)
% 171.23/144.04 |
% 171.23/144.04 | Instantiating formula (154) with all_0_13_13, all_0_15_15, xp, xm and discharging atoms sdtpldt0(all_0_15_15, xm) = all_0_13_13, sdtlseqdt0(xm, xp), aNaturalNumber0(all_0_15_15), aNaturalNumber0(xp), aNaturalNumber0(xm), yields:
% 171.23/144.04 | (191) xp = xm | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_0_13_13) & sdtpldt0(all_0_15_15, xp) = v0 & sdtpldt0(xp, all_0_15_15) = v2 & sdtpldt0(xm, all_0_15_15) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_0_13_13, v0))
% 171.23/144.04 |
% 171.23/144.04 | Instantiating formula (47) with all_0_13_13, all_0_15_15, xm and discharging atoms sdtpldt0(all_0_15_15, xm) = all_0_13_13, aNaturalNumber0(all_0_15_15), aNaturalNumber0(xm), yields:
% 171.23/144.04 | (192) sdtpldt0(xm, all_0_15_15) = all_0_13_13
% 171.23/144.04 |
% 171.23/144.04 | Instantiating formula (43) with all_0_13_13, xm, all_0_15_15 and discharging atoms sdtpldt0(all_0_15_15, xm) = all_0_13_13, aNaturalNumber0(all_0_15_15), aNaturalNumber0(xm), yields:
% 171.23/144.04 | (193) aNaturalNumber0(all_0_13_13)
% 171.23/144.04 |
% 171.23/144.04 | Instantiating formula (78) with xp, all_0_2_2, xp, xm and discharging atoms sdtpldt0(xm, all_0_2_2) = xp, sdtlseqdt0(xm, xp), aNaturalNumber0(all_0_2_2), aNaturalNumber0(xp), aNaturalNumber0(xm), yields:
% 171.23/144.04 | (194) xp = xm | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = xp) & ~ (v1 = v0) & sdtpldt0(all_0_2_2, xp) = v1 & sdtpldt0(all_0_2_2, xm) = v0 & sdtpldt0(xp, all_0_2_2) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(xp, v2))
% 171.23/144.04 |
% 171.23/144.04 | Instantiating formula (103) with all_0_18_18, xn, xm, all_0_10_10, all_0_15_15 and discharging atoms sdtpldt0(all_0_15_15, all_0_10_10) = xn, sdtpldt0(xn, xm) = all_0_18_18, aNaturalNumber0(all_0_10_10), aNaturalNumber0(all_0_15_15), aNaturalNumber0(xm), yields:
% 171.23/144.04 | (195) ? [v0] : (sdtpldt0(all_0_10_10, xm) = v0 & sdtpldt0(all_0_15_15, v0) = all_0_18_18)
% 171.23/144.04 |
% 171.23/144.04 | Instantiating formula (63) with xp, xm and discharging atoms sdtlseqdt0(xm, xp), aNaturalNumber0(xp), aNaturalNumber0(xm), yields:
% 171.23/144.04 | (196) ? [v0] : (sdtpldt0(xm, v0) = xp & aNaturalNumber0(v0))
% 171.23/144.04 |
% 171.23/144.04 | Instantiating formula (144) with xn, xr, all_0_15_15, xn, xr and discharging atoms sdtsldt0(xn, xr) = all_0_15_15, sdtasdt0(xr, all_0_15_15) = xn, doDivides0(xr, xn), aNaturalNumber0(xr), aNaturalNumber0(xn), yields:
% 171.23/144.04 | (197) xr = sz00 | ? [v0] : (sdtsldt0(v0, xr) = xn & sdtasdt0(xr, xn) = v0)
% 171.23/144.04 |
% 171.23/144.04 | Instantiating formula (46) with all_0_16_16, xp, all_0_1_1, xn, all_0_0_0 and discharging atoms sdtasdt0(xp, all_0_0_0) = all_0_16_16, sdtpldt0(xn, all_0_1_1) = xp, aNaturalNumber0(all_0_0_0), aNaturalNumber0(all_0_1_1), aNaturalNumber0(xn), yields:
% 171.23/144.04 | (198) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(all_0_0_0, all_0_1_1) = v2 & sdtasdt0(all_0_0_0, xp) = v0 & sdtasdt0(all_0_0_0, xn) = v1 & sdtasdt0(all_0_1_1, all_0_0_0) = v4 & sdtasdt0(xn, all_0_0_0) = v3 & sdtpldt0(v3, v4) = all_0_16_16 & sdtpldt0(v1, v2) = v0)
% 171.23/144.04 |
% 171.23/144.04 | Instantiating formula (46) with all_0_16_16, xp, all_0_1_1, xn, xk and discharging atoms sdtasdt0(xp, xk) = all_0_16_16, sdtpldt0(xn, all_0_1_1) = xp, aNaturalNumber0(all_0_1_1), aNaturalNumber0(xk), aNaturalNumber0(xn), yields:
% 171.23/144.04 | (199) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(all_0_1_1, xk) = v4 & sdtasdt0(xk, all_0_1_1) = v2 & sdtasdt0(xk, xp) = v0 & sdtasdt0(xk, xn) = v1 & sdtasdt0(xn, xk) = v3 & sdtpldt0(v3, v4) = all_0_16_16 & sdtpldt0(v1, v2) = v0)
% 171.23/144.04 |
% 171.23/144.04 | Instantiating formula (78) with xn, all_0_10_10, xn, all_0_15_15 and discharging atoms sdtpldt0(all_0_15_15, all_0_10_10) = xn, sdtlseqdt0(all_0_15_15, xn), aNaturalNumber0(all_0_10_10), aNaturalNumber0(all_0_15_15), aNaturalNumber0(xn), yields:
% 171.23/144.04 | (200) all_0_15_15 = xn | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = xn) & ~ (v1 = v0) & sdtpldt0(all_0_10_10, all_0_15_15) = v0 & sdtpldt0(all_0_10_10, xn) = v1 & sdtpldt0(xn, all_0_10_10) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(xn, v2))
% 171.23/144.04 |
% 171.23/144.04 | Instantiating formula (161) with all_0_13_13, all_0_18_18, all_0_15_15, xn, xm and discharging atoms sdtpldt0(all_0_15_15, xm) = all_0_13_13, sdtpldt0(xn, xm) = all_0_18_18, aNaturalNumber0(all_0_15_15), aNaturalNumber0(xm), aNaturalNumber0(xn), yields:
% 171.23/144.04 | (201) all_0_15_15 = xn | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xm, all_0_15_15) = v1 & sdtpldt0(xm, xn) = v0)
% 171.23/144.04 |
% 171.23/144.04 | Instantiating formula (78) with all_0_13_13, xm, xn, all_0_15_15 and discharging atoms sdtpldt0(all_0_15_15, xm) = all_0_13_13, sdtlseqdt0(all_0_15_15, xn), aNaturalNumber0(all_0_15_15), aNaturalNumber0(xm), aNaturalNumber0(xn), yields:
% 171.23/144.04 | (202) all_0_15_15 = xn | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_0_13_13) & ~ (v1 = v0) & sdtpldt0(xm, all_0_15_15) = v0 & sdtpldt0(xm, xn) = v1 & sdtpldt0(xn, xm) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_0_13_13, v2))
% 171.23/144.04 |
% 171.23/144.04 | Instantiating formula (103) with all_0_17_17, all_0_18_18, xp, xm, xn and discharging atoms sdtpldt0(all_0_18_18, xp) = all_0_17_17, sdtpldt0(xn, xm) = all_0_18_18, aNaturalNumber0(xp), aNaturalNumber0(xm), aNaturalNumber0(xn), yields:
% 171.23/144.04 | (203) ? [v0] : (sdtpldt0(xm, xp) = v0 & sdtpldt0(xn, v0) = all_0_17_17)
% 171.23/144.04 |
% 171.23/144.04 | Instantiating formula (35) with xp, all_0_1_1, xn, all_0_15_15 and discharging atoms sdtpldt0(xn, all_0_1_1) = xp, sdtlseqdt0(all_0_15_15, xn), aNaturalNumber0(all_0_1_1), aNaturalNumber0(all_0_15_15), aNaturalNumber0(xn), yields:
% 171.23/144.04 | (204) all_0_15_15 = xn | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = xp) & ~ (v1 = v0) & sdtpldt0(all_0_1_1, all_0_15_15) = v0 & sdtpldt0(all_0_1_1, xn) = v1 & sdtpldt0(all_0_15_15, all_0_1_1) = v2 & sdtlseqdt0(v2, xp) & sdtlseqdt0(v0, v1))
% 171.23/144.04 |
% 171.23/144.04 | Instantiating formula (78) with xp, all_0_1_1, xp, xn and discharging atoms sdtpldt0(xn, all_0_1_1) = xp, sdtlseqdt0(xn, xp), aNaturalNumber0(all_0_1_1), aNaturalNumber0(xp), aNaturalNumber0(xn), yields:
% 171.23/144.04 | (205) xp = xn | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = xp) & ~ (v1 = v0) & sdtpldt0(all_0_1_1, xp) = v1 & sdtpldt0(all_0_1_1, xn) = v0 & sdtpldt0(xp, all_0_1_1) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(xp, v2))
% 171.23/144.04 |
% 171.23/144.04 | Instantiating formula (161) with all_0_18_18, all_0_13_13, xn, all_0_15_15, xm and discharging atoms sdtpldt0(all_0_15_15, xm) = all_0_13_13, sdtpldt0(xn, xm) = all_0_18_18, aNaturalNumber0(all_0_15_15), aNaturalNumber0(xm), aNaturalNumber0(xn), yields:
% 171.23/144.04 | (206) all_0_15_15 = xn | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xm, all_0_15_15) = v0 & sdtpldt0(xm, xn) = v1)
% 171.23/144.04 |
% 171.23/144.04 | Instantiating formula (35) with all_0_18_18, xm, xn, all_0_15_15 and discharging atoms sdtpldt0(xn, xm) = all_0_18_18, sdtlseqdt0(all_0_15_15, xn), aNaturalNumber0(all_0_15_15), aNaturalNumber0(xm), aNaturalNumber0(xn), yields:
% 171.23/144.04 | (207) all_0_15_15 = xn | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_0_18_18) & ~ (v1 = v0) & sdtpldt0(all_0_15_15, xm) = v2 & sdtpldt0(xm, all_0_15_15) = v0 & sdtpldt0(xm, xn) = v1 & sdtlseqdt0(v2, all_0_18_18) & sdtlseqdt0(v0, v1))
% 171.23/144.04 |
% 171.23/144.04 | Instantiating formula (154) with all_0_18_18, xn, xp, xm and discharging atoms sdtpldt0(xn, xm) = all_0_18_18, sdtlseqdt0(xm, xp), aNaturalNumber0(xp), aNaturalNumber0(xm), aNaturalNumber0(xn), yields:
% 171.23/144.04 | (208) xp = xm | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_0_18_18) & sdtpldt0(xp, xn) = v2 & sdtpldt0(xm, xn) = v1 & sdtpldt0(xn, xp) = v0 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_0_18_18, v0))
% 171.23/144.04 |
% 171.23/144.04 | Instantiating formula (78) with all_0_18_18, xm, xp, xn and discharging atoms sdtpldt0(xn, xm) = all_0_18_18, sdtlseqdt0(xn, xp), aNaturalNumber0(xp), aNaturalNumber0(xm), aNaturalNumber0(xn), yields:
% 171.23/144.04 | (209) xp = xn | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_0_18_18) & ~ (v1 = v0) & sdtpldt0(xp, xm) = v2 & sdtpldt0(xm, xp) = v1 & sdtpldt0(xm, xn) = v0 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_0_18_18, v2))
% 171.23/144.04 |
% 171.23/144.04 | Instantiating formula (47) with all_0_18_18, xn, xm and discharging atoms sdtpldt0(xn, xm) = all_0_18_18, aNaturalNumber0(xm), aNaturalNumber0(xn), yields:
% 171.23/144.04 | (210) sdtpldt0(xm, xn) = all_0_18_18
% 171.23/144.04 |
% 171.23/144.04 | Instantiating formula (43) with all_0_18_18, xm, xn and discharging atoms sdtpldt0(xn, xm) = all_0_18_18, aNaturalNumber0(xm), aNaturalNumber0(xn), yields:
% 171.23/144.04 | (211) aNaturalNumber0(all_0_18_18)
% 171.23/144.04 |
% 171.23/144.04 | Instantiating formula (108) with xn, xr and discharging atoms doDivides0(xr, xn), aNaturalNumber0(xr), aNaturalNumber0(xn), yields:
% 171.23/144.04 | (212) ? [v0] : (sdtasdt0(xr, v0) = xn & aNaturalNumber0(v0))
% 171.23/144.04 |
% 171.23/144.04 | Instantiating formula (63) with xn, all_0_15_15 and discharging atoms sdtlseqdt0(all_0_15_15, xn), aNaturalNumber0(all_0_15_15), aNaturalNumber0(xn), yields:
% 171.23/144.04 | (213) ? [v0] : (sdtpldt0(all_0_15_15, v0) = xn & aNaturalNumber0(v0))
% 171.23/144.04 |
% 171.23/144.04 | Instantiating formula (63) with xp, xn and discharging atoms sdtlseqdt0(xn, xp), aNaturalNumber0(xp), aNaturalNumber0(xn), yields:
% 171.23/144.04 | (214) ? [v0] : (sdtpldt0(xn, v0) = xp & aNaturalNumber0(v0))
% 171.23/144.04 |
% 171.23/144.04 | Instantiating (174) with all_9_0_19 yields:
% 171.23/144.04 | (215) sdtasdt0(xr, all_9_0_19) = xk & aNaturalNumber0(all_9_0_19)
% 171.23/144.04 |
% 171.23/144.04 | Applying alpha-rule on (215) yields:
% 171.23/144.04 | (216) sdtasdt0(xr, all_9_0_19) = xk
% 171.23/144.04 | (217) aNaturalNumber0(all_9_0_19)
% 171.23/144.04 |
% 171.23/144.04 | Instantiating (196) with all_11_0_20 yields:
% 171.23/144.04 | (218) sdtpldt0(xm, all_11_0_20) = xp & aNaturalNumber0(all_11_0_20)
% 171.23/144.04 |
% 171.23/144.04 | Applying alpha-rule on (218) yields:
% 171.23/144.04 | (219) sdtpldt0(xm, all_11_0_20) = xp
% 171.23/144.04 | (220) aNaturalNumber0(all_11_0_20)
% 171.23/144.04 |
% 171.23/144.04 | Instantiating (195) with all_13_0_21 yields:
% 171.23/144.04 | (221) sdtpldt0(all_0_10_10, xm) = all_13_0_21 & sdtpldt0(all_0_15_15, all_13_0_21) = all_0_18_18
% 171.23/144.04 |
% 171.23/144.04 | Applying alpha-rule on (221) yields:
% 171.23/144.04 | (222) sdtpldt0(all_0_10_10, xm) = all_13_0_21
% 171.23/144.04 | (223) sdtpldt0(all_0_15_15, all_13_0_21) = all_0_18_18
% 171.23/144.04 |
% 171.23/144.04 | Instantiating (172) with all_17_0_27, all_17_1_28, all_17_2_29, all_17_3_30, all_17_4_31 yields:
% 171.23/144.04 | (224) sdtasdt0(all_0_0_0, all_0_6_6) = all_17_2_29 & sdtasdt0(all_0_0_0, xk) = all_17_3_30 & sdtasdt0(all_0_0_0, xp) = all_17_4_31 & sdtasdt0(all_0_6_6, all_0_0_0) = all_17_0_27 & sdtasdt0(xk, all_0_0_0) = all_17_1_28 & sdtpldt0(all_17_1_28, all_17_0_27) = all_0_16_16 & sdtpldt0(all_17_3_30, all_17_2_29) = all_17_4_31
% 171.23/144.05 |
% 171.23/144.05 | Applying alpha-rule on (224) yields:
% 171.23/144.05 | (225) sdtasdt0(all_0_0_0, all_0_6_6) = all_17_2_29
% 171.23/144.05 | (226) sdtasdt0(all_0_0_0, xp) = all_17_4_31
% 171.23/144.05 | (227) sdtpldt0(all_17_1_28, all_17_0_27) = all_0_16_16
% 171.23/144.05 | (228) sdtasdt0(xk, all_0_0_0) = all_17_1_28
% 171.23/144.05 | (229) sdtasdt0(all_0_0_0, xk) = all_17_3_30
% 171.23/144.05 | (230) sdtpldt0(all_17_3_30, all_17_2_29) = all_17_4_31
% 171.23/144.05 | (231) sdtasdt0(all_0_6_6, all_0_0_0) = all_17_0_27
% 171.23/144.05 |
% 171.23/144.05 | Instantiating (214) with all_19_0_32 yields:
% 171.23/144.05 | (232) sdtpldt0(xn, all_19_0_32) = xp & aNaturalNumber0(all_19_0_32)
% 171.23/144.05 |
% 171.23/144.05 | Applying alpha-rule on (232) yields:
% 171.23/144.05 | (233) sdtpldt0(xn, all_19_0_32) = xp
% 171.23/144.05 | (234) aNaturalNumber0(all_19_0_32)
% 171.23/144.05 |
% 171.23/144.05 | Instantiating (178) with all_23_0_34, all_23_1_35, all_23_2_36, all_23_3_37, all_23_4_38 yields:
% 171.23/144.05 | (235) sdtasdt0(all_0_4_4, xp) = all_23_0_34 & sdtasdt0(xr, xp) = all_23_1_35 & sdtasdt0(xk, xp) = all_23_2_36 & sdtasdt0(xp, all_0_4_4) = all_23_3_37 & sdtasdt0(xp, xr) = all_23_4_38 & sdtpldt0(all_23_1_35, all_23_0_34) = all_23_2_36 & sdtpldt0(all_23_4_38, all_23_3_37) = all_0_16_16
% 171.23/144.05 |
% 171.23/144.05 | Applying alpha-rule on (235) yields:
% 171.23/144.05 | (236) sdtpldt0(all_23_1_35, all_23_0_34) = all_23_2_36
% 171.23/144.05 | (237) sdtpldt0(all_23_4_38, all_23_3_37) = all_0_16_16
% 171.23/144.05 | (238) sdtasdt0(xp, xr) = all_23_4_38
% 171.23/144.05 | (239) sdtasdt0(xp, all_0_4_4) = all_23_3_37
% 171.23/144.05 | (240) sdtasdt0(all_0_4_4, xp) = all_23_0_34
% 171.23/144.05 | (241) sdtasdt0(xk, xp) = all_23_2_36
% 171.23/144.05 | (242) sdtasdt0(xr, xp) = all_23_1_35
% 171.23/144.05 |
% 171.23/144.05 | Instantiating (199) with all_25_0_39, all_25_1_40, all_25_2_41, all_25_3_42, all_25_4_43 yields:
% 171.23/144.05 | (243) sdtasdt0(all_0_1_1, xk) = all_25_0_39 & sdtasdt0(xk, all_0_1_1) = all_25_2_41 & sdtasdt0(xk, xp) = all_25_4_43 & sdtasdt0(xk, xn) = all_25_3_42 & sdtasdt0(xn, xk) = all_25_1_40 & sdtpldt0(all_25_1_40, all_25_0_39) = all_0_16_16 & sdtpldt0(all_25_3_42, all_25_2_41) = all_25_4_43
% 171.23/144.05 |
% 171.23/144.05 | Applying alpha-rule on (243) yields:
% 171.23/144.05 | (244) sdtpldt0(all_25_1_40, all_25_0_39) = all_0_16_16
% 171.23/144.05 | (245) sdtasdt0(xk, all_0_1_1) = all_25_2_41
% 171.23/144.05 | (246) sdtasdt0(all_0_1_1, xk) = all_25_0_39
% 171.23/144.05 | (247) sdtpldt0(all_25_3_42, all_25_2_41) = all_25_4_43
% 171.23/144.05 | (248) sdtasdt0(xk, xn) = all_25_3_42
% 171.23/144.05 | (249) sdtasdt0(xk, xp) = all_25_4_43
% 171.23/144.05 | (250) sdtasdt0(xn, xk) = all_25_1_40
% 171.23/144.05 |
% 171.23/144.05 | Instantiating (173) with all_27_0_44, all_27_1_45, all_27_2_46, all_27_3_47, all_27_4_48 yields:
% 171.23/144.05 | (251) sdtasdt0(all_0_6_6, xk) = all_27_0_44 & sdtasdt0(xk, all_0_6_6) = all_27_2_46 & sdtasdt0(xk, xk) = all_27_1_45 & sdtasdt0(xk, xk) = all_27_3_47 & sdtasdt0(xk, xp) = all_27_4_48 & sdtpldt0(all_27_1_45, all_27_0_44) = all_0_16_16 & sdtpldt0(all_27_3_47, all_27_2_46) = all_27_4_48
% 171.23/144.05 |
% 171.23/144.05 | Applying alpha-rule on (251) yields:
% 171.23/144.05 | (252) sdtasdt0(xk, xk) = all_27_1_45
% 171.23/144.05 | (253) sdtasdt0(all_0_6_6, xk) = all_27_0_44
% 171.23/144.05 | (254) sdtasdt0(xk, xp) = all_27_4_48
% 171.23/144.05 | (255) sdtasdt0(xk, xk) = all_27_3_47
% 171.23/144.05 | (256) sdtpldt0(all_27_3_47, all_27_2_46) = all_27_4_48
% 171.23/144.05 | (257) sdtasdt0(xk, all_0_6_6) = all_27_2_46
% 171.23/144.05 | (258) sdtpldt0(all_27_1_45, all_27_0_44) = all_0_16_16
% 171.23/144.05 |
% 171.23/144.05 | Instantiating (176) with all_29_0_49 yields:
% 171.23/144.05 | (259) sdtasdt0(all_29_0_49, all_0_3_3) = all_0_16_16 & sdtasdt0(xp, xr) = all_29_0_49
% 171.23/144.05 |
% 171.23/144.05 | Applying alpha-rule on (259) yields:
% 171.23/144.05 | (260) sdtasdt0(all_29_0_49, all_0_3_3) = all_0_16_16
% 171.23/144.05 | (261) sdtasdt0(xp, xr) = all_29_0_49
% 171.23/144.05 |
% 171.23/144.05 | Instantiating (203) with all_31_0_50 yields:
% 171.23/144.05 | (262) sdtpldt0(xm, xp) = all_31_0_50 & sdtpldt0(xn, all_31_0_50) = all_0_17_17
% 171.23/144.05 |
% 171.23/144.05 | Applying alpha-rule on (262) yields:
% 171.23/144.05 | (263) sdtpldt0(xm, xp) = all_31_0_50
% 171.23/144.05 | (264) sdtpldt0(xn, all_31_0_50) = all_0_17_17
% 171.23/144.05 |
% 171.23/144.05 | Instantiating (180) with all_33_0_51 yields:
% 171.23/144.05 | (265) sdtpldt0(xk, all_33_0_51) = xp & aNaturalNumber0(all_33_0_51)
% 171.23/144.05 |
% 171.23/144.05 | Applying alpha-rule on (265) yields:
% 171.23/144.05 | (266) sdtpldt0(xk, all_33_0_51) = xp
% 171.23/144.05 | (267) aNaturalNumber0(all_33_0_51)
% 171.23/144.05 |
% 171.23/144.05 | Instantiating (198) with all_39_0_58, all_39_1_59, all_39_2_60, all_39_3_61, all_39_4_62 yields:
% 171.23/144.05 | (268) sdtasdt0(all_0_0_0, all_0_1_1) = all_39_2_60 & sdtasdt0(all_0_0_0, xp) = all_39_4_62 & sdtasdt0(all_0_0_0, xn) = all_39_3_61 & sdtasdt0(all_0_1_1, all_0_0_0) = all_39_0_58 & sdtasdt0(xn, all_0_0_0) = all_39_1_59 & sdtpldt0(all_39_1_59, all_39_0_58) = all_0_16_16 & sdtpldt0(all_39_3_61, all_39_2_60) = all_39_4_62
% 171.23/144.05 |
% 171.23/144.05 | Applying alpha-rule on (268) yields:
% 171.23/144.05 | (269) sdtasdt0(all_0_0_0, all_0_1_1) = all_39_2_60
% 171.23/144.05 | (270) sdtasdt0(xn, all_0_0_0) = all_39_1_59
% 171.23/144.05 | (271) sdtasdt0(all_0_0_0, xn) = all_39_3_61
% 171.23/144.05 | (272) sdtpldt0(all_39_3_61, all_39_2_60) = all_39_4_62
% 171.23/144.05 | (273) sdtpldt0(all_39_1_59, all_39_0_58) = all_0_16_16
% 171.23/144.05 | (274) sdtasdt0(all_0_0_0, xp) = all_39_4_62
% 171.23/144.05 | (275) sdtasdt0(all_0_1_1, all_0_0_0) = all_39_0_58
% 171.23/144.05 |
% 171.23/144.05 | Instantiating (190) with all_41_0_63 yields:
% 171.23/144.05 | (276) sdtpldt0(all_0_15_15, all_41_0_63) = all_0_12_12 & sdtpldt0(xm, xp) = all_41_0_63
% 171.23/144.05 |
% 171.23/144.05 | Applying alpha-rule on (276) yields:
% 171.23/144.05 | (277) sdtpldt0(all_0_15_15, all_41_0_63) = all_0_12_12
% 171.23/144.05 | (278) sdtpldt0(xm, xp) = all_41_0_63
% 171.23/144.05 |
% 171.23/144.05 | Instantiating (188) with all_43_0_64 yields:
% 171.23/144.05 | (279) sdtasdt0(all_0_15_15, xm) = all_43_0_64 & sdtasdt0(xr, all_43_0_64) = all_0_16_16
% 171.23/144.05 |
% 171.23/144.05 | Applying alpha-rule on (279) yields:
% 171.23/144.05 | (280) sdtasdt0(all_0_15_15, xm) = all_43_0_64
% 171.23/144.05 | (281) sdtasdt0(xr, all_43_0_64) = all_0_16_16
% 171.23/144.05 |
% 171.23/144.05 | Instantiating (189) with all_45_0_65, all_45_1_66, all_45_2_67, all_45_3_68, all_45_4_69 yields:
% 171.23/144.05 | (282) sdtasdt0(all_0_10_10, xm) = all_45_0_65 & sdtasdt0(all_0_15_15, xm) = all_45_1_66 & sdtasdt0(xm, all_0_10_10) = all_45_2_67 & sdtasdt0(xm, all_0_15_15) = all_45_3_68 & sdtasdt0(xm, xn) = all_45_4_69 & sdtpldt0(all_45_1_66, all_45_0_65) = all_0_16_16 & sdtpldt0(all_45_3_68, all_45_2_67) = all_45_4_69
% 171.23/144.05 |
% 171.23/144.05 | Applying alpha-rule on (282) yields:
% 171.23/144.05 | (283) sdtpldt0(all_45_1_66, all_45_0_65) = all_0_16_16
% 171.23/144.05 | (284) sdtasdt0(xm, all_0_15_15) = all_45_3_68
% 171.23/144.05 | (285) sdtasdt0(all_0_15_15, xm) = all_45_1_66
% 171.23/144.05 | (286) sdtasdt0(xm, all_0_10_10) = all_45_2_67
% 171.23/144.05 | (287) sdtpldt0(all_45_3_68, all_45_2_67) = all_45_4_69
% 171.23/144.05 | (288) sdtasdt0(all_0_10_10, xm) = all_45_0_65
% 171.23/144.05 | (289) sdtasdt0(xm, xn) = all_45_4_69
% 171.23/144.05 |
% 171.23/144.05 | Instantiating (187) with all_47_0_70 yields:
% 171.23/144.05 | (290) sdtasdt0(all_0_9_9, xm) = all_47_0_70 & sdtasdt0(xr, all_47_0_70) = all_0_16_16
% 171.23/144.05 |
% 171.23/144.05 | Applying alpha-rule on (290) yields:
% 171.23/144.05 | (291) sdtasdt0(all_0_9_9, xm) = all_47_0_70
% 171.23/144.05 | (292) sdtasdt0(xr, all_47_0_70) = all_0_16_16
% 171.23/144.05 |
% 171.23/144.05 | Instantiating (186) with all_49_0_71, all_49_1_72, all_49_2_73, all_49_3_74, all_49_4_75 yields:
% 171.23/144.05 | (293) sdtasdt0(all_0_2_2, xk) = all_49_0_71 & sdtasdt0(xk, all_0_2_2) = all_49_2_73 & sdtasdt0(xk, xp) = all_49_4_75 & sdtasdt0(xk, xm) = all_49_3_74 & sdtasdt0(xm, xk) = all_49_1_72 & sdtpldt0(all_49_1_72, all_49_0_71) = all_0_16_16 & sdtpldt0(all_49_3_74, all_49_2_73) = all_49_4_75
% 171.23/144.05 |
% 171.23/144.05 | Applying alpha-rule on (293) yields:
% 171.23/144.05 | (294) sdtpldt0(all_49_1_72, all_49_0_71) = all_0_16_16
% 171.23/144.05 | (295) sdtasdt0(xk, xp) = all_49_4_75
% 171.23/144.05 | (296) sdtasdt0(all_0_2_2, xk) = all_49_0_71
% 171.23/144.05 | (297) sdtasdt0(xk, all_0_2_2) = all_49_2_73
% 171.23/144.05 | (298) sdtasdt0(xm, xk) = all_49_1_72
% 171.23/144.05 | (299) sdtasdt0(xk, xm) = all_49_3_74
% 171.23/144.05 | (300) sdtpldt0(all_49_3_74, all_49_2_73) = all_49_4_75
% 171.23/144.05 |
% 171.23/144.05 | Instantiating (185) with all_53_0_81, all_53_1_82, all_53_2_83, all_53_3_84, all_53_4_85 yields:
% 171.23/144.05 | (301) sdtasdt0(all_0_0_0, all_0_2_2) = all_53_2_83 & sdtasdt0(all_0_0_0, xp) = all_53_4_85 & sdtasdt0(all_0_0_0, xm) = all_53_3_84 & sdtasdt0(all_0_2_2, all_0_0_0) = all_53_0_81 & sdtasdt0(xm, all_0_0_0) = all_53_1_82 & sdtpldt0(all_53_1_82, all_53_0_81) = all_0_16_16 & sdtpldt0(all_53_3_84, all_53_2_83) = all_53_4_85
% 171.23/144.05 |
% 171.23/144.05 | Applying alpha-rule on (301) yields:
% 171.23/144.05 | (302) sdtasdt0(xm, all_0_0_0) = all_53_1_82
% 171.23/144.05 | (303) sdtasdt0(all_0_2_2, all_0_0_0) = all_53_0_81
% 171.23/144.05 | (304) sdtasdt0(all_0_0_0, xm) = all_53_3_84
% 171.23/144.05 | (305) sdtasdt0(all_0_0_0, xp) = all_53_4_85
% 171.23/144.05 | (306) sdtpldt0(all_53_1_82, all_53_0_81) = all_0_16_16
% 171.23/144.05 | (307) sdtasdt0(all_0_0_0, all_0_2_2) = all_53_2_83
% 171.23/144.05 | (308) sdtpldt0(all_53_3_84, all_53_2_83) = all_53_4_85
% 171.23/144.05 |
% 171.23/144.05 | Instantiating (213) with all_55_0_86 yields:
% 171.23/144.05 | (309) sdtpldt0(all_0_15_15, all_55_0_86) = xn & aNaturalNumber0(all_55_0_86)
% 171.23/144.05 |
% 171.23/144.05 | Applying alpha-rule on (309) yields:
% 171.23/144.05 | (310) sdtpldt0(all_0_15_15, all_55_0_86) = xn
% 171.23/144.05 | (311) aNaturalNumber0(all_55_0_86)
% 171.23/144.05 |
% 171.23/144.05 | Instantiating (212) with all_57_0_87 yields:
% 171.23/144.05 | (312) sdtasdt0(xr, all_57_0_87) = xn & aNaturalNumber0(all_57_0_87)
% 171.23/144.05 |
% 171.23/144.05 | Applying alpha-rule on (312) yields:
% 171.23/144.05 | (313) sdtasdt0(xr, all_57_0_87) = xn
% 171.23/144.05 | (314) aNaturalNumber0(all_57_0_87)
% 171.23/144.05 |
% 171.23/144.05 +-Applying beta-rule and splitting (175), into two cases.
% 171.23/144.05 |-Branch one:
% 171.23/144.05 | (315) xk = sz00
% 171.23/144.05 |
% 171.23/144.05 | Equations (315) can reduce 58 to:
% 171.23/144.05 | (316) $false
% 171.23/144.05 |
% 171.23/144.06 |-The branch is then unsatisfiable
% 171.23/144.06 |-Branch two:
% 171.23/144.06 | (58) ~ (xk = sz00)
% 171.23/144.06 | (318) xk = sz10 | ? [v0] : (isPrime0(v0) & doDivides0(v0, xk) & aNaturalNumber0(v0))
% 171.23/144.06 |
% 171.23/144.06 +-Applying beta-rule and splitting (207), into two cases.
% 171.23/144.06 |-Branch one:
% 171.23/144.06 | (319) all_0_15_15 = xn
% 171.23/144.06 |
% 171.23/144.06 | Equations (319) can reduce 138 to:
% 171.23/144.06 | (316) $false
% 171.23/144.06 |
% 171.23/144.06 |-The branch is then unsatisfiable
% 171.23/144.06 |-Branch two:
% 171.23/144.06 | (138) ~ (all_0_15_15 = xn)
% 171.23/144.06 | (322) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_0_18_18) & ~ (v1 = v0) & sdtpldt0(all_0_15_15, xm) = v2 & sdtpldt0(xm, all_0_15_15) = v0 & sdtpldt0(xm, xn) = v1 & sdtlseqdt0(v2, all_0_18_18) & sdtlseqdt0(v0, v1))
% 171.23/144.06 |
% 171.23/144.06 | Instantiating (322) with all_83_0_89, all_83_1_90, all_83_2_91 yields:
% 171.23/144.06 | (323) ~ (all_83_0_89 = all_0_18_18) & ~ (all_83_1_90 = all_83_2_91) & sdtpldt0(all_0_15_15, xm) = all_83_0_89 & sdtpldt0(xm, all_0_15_15) = all_83_2_91 & sdtpldt0(xm, xn) = all_83_1_90 & sdtlseqdt0(all_83_0_89, all_0_18_18) & sdtlseqdt0(all_83_2_91, all_83_1_90)
% 171.23/144.06 |
% 171.23/144.06 | Applying alpha-rule on (323) yields:
% 171.23/144.06 | (324) sdtlseqdt0(all_83_2_91, all_83_1_90)
% 171.23/144.06 | (325) sdtpldt0(all_0_15_15, xm) = all_83_0_89
% 171.23/144.06 | (326) sdtpldt0(xm, xn) = all_83_1_90
% 171.23/144.06 | (327) sdtlseqdt0(all_83_0_89, all_0_18_18)
% 171.23/144.06 | (328) ~ (all_83_1_90 = all_83_2_91)
% 171.23/144.06 | (329) ~ (all_83_0_89 = all_0_18_18)
% 171.23/144.06 | (330) sdtpldt0(xm, all_0_15_15) = all_83_2_91
% 171.23/144.06 |
% 171.23/144.06 +-Applying beta-rule and splitting (208), into two cases.
% 171.23/144.06 |-Branch one:
% 171.23/144.06 | (331) xp = xm
% 171.23/144.06 |
% 171.23/144.06 | Equations (331) can reduce 104 to:
% 171.23/144.06 | (316) $false
% 171.23/144.06 |
% 171.23/144.06 |-The branch is then unsatisfiable
% 171.23/144.06 |-Branch two:
% 171.23/144.06 | (104) ~ (xp = xm)
% 171.23/144.06 | (334) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_0_18_18) & sdtpldt0(xp, xn) = v2 & sdtpldt0(xm, xn) = v1 & sdtpldt0(xn, xp) = v0 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_0_18_18, v0))
% 171.23/144.06 |
% 171.23/144.06 | Instantiating (334) with all_88_0_92, all_88_1_93, all_88_2_94 yields:
% 171.23/144.06 | (335) ~ (all_88_0_92 = all_88_1_93) & ~ (all_88_2_94 = all_0_18_18) & sdtpldt0(xp, xn) = all_88_0_92 & sdtpldt0(xm, xn) = all_88_1_93 & sdtpldt0(xn, xp) = all_88_2_94 & sdtlseqdt0(all_88_1_93, all_88_0_92) & sdtlseqdt0(all_0_18_18, all_88_2_94)
% 171.23/144.06 |
% 171.23/144.06 | Applying alpha-rule on (335) yields:
% 171.23/144.06 | (336) ~ (all_88_0_92 = all_88_1_93)
% 171.23/144.06 | (337) ~ (all_88_2_94 = all_0_18_18)
% 171.23/144.06 | (338) sdtlseqdt0(all_88_1_93, all_88_0_92)
% 171.23/144.06 | (339) sdtpldt0(xm, xn) = all_88_1_93
% 171.23/144.06 | (340) sdtlseqdt0(all_0_18_18, all_88_2_94)
% 171.23/144.06 | (341) sdtpldt0(xn, xp) = all_88_2_94
% 171.23/144.06 | (342) sdtpldt0(xp, xn) = all_88_0_92
% 171.23/144.06 |
% 171.23/144.06 +-Applying beta-rule and splitting (209), into two cases.
% 171.23/144.06 |-Branch one:
% 171.23/144.06 | (343) xp = xn
% 171.23/144.06 |
% 171.23/144.06 | Equations (343) can reduce 157 to:
% 171.23/144.06 | (316) $false
% 171.23/144.06 |
% 171.23/144.06 |-The branch is then unsatisfiable
% 171.23/144.06 |-Branch two:
% 171.23/144.06 | (157) ~ (xp = xn)
% 171.23/144.06 | (346) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_0_18_18) & ~ (v1 = v0) & sdtpldt0(xp, xm) = v2 & sdtpldt0(xm, xp) = v1 & sdtpldt0(xm, xn) = v0 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_0_18_18, v2))
% 171.23/144.06 |
% 171.23/144.06 | Instantiating (346) with all_93_0_95, all_93_1_96, all_93_2_97 yields:
% 171.23/144.06 | (347) ~ (all_93_0_95 = all_0_18_18) & ~ (all_93_1_96 = all_93_2_97) & sdtpldt0(xp, xm) = all_93_0_95 & sdtpldt0(xm, xp) = all_93_1_96 & sdtpldt0(xm, xn) = all_93_2_97 & sdtlseqdt0(all_93_2_97, all_93_1_96) & sdtlseqdt0(all_0_18_18, all_93_0_95)
% 171.23/144.06 |
% 171.23/144.06 | Applying alpha-rule on (347) yields:
% 171.23/144.06 | (348) ~ (all_93_0_95 = all_0_18_18)
% 171.23/144.06 | (349) sdtpldt0(xm, xp) = all_93_1_96
% 171.23/144.06 | (350) sdtpldt0(xm, xn) = all_93_2_97
% 171.23/144.06 | (351) ~ (all_93_1_96 = all_93_2_97)
% 171.23/144.06 | (352) sdtlseqdt0(all_0_18_18, all_93_0_95)
% 171.23/144.06 | (353) sdtlseqdt0(all_93_2_97, all_93_1_96)
% 171.23/144.06 | (354) sdtpldt0(xp, xm) = all_93_0_95
% 171.23/144.06 |
% 171.23/144.06 +-Applying beta-rule and splitting (206), into two cases.
% 171.23/144.06 |-Branch one:
% 171.23/144.06 | (319) all_0_15_15 = xn
% 171.23/144.06 |
% 171.23/144.06 | Equations (319) can reduce 138 to:
% 171.23/144.06 | (316) $false
% 171.23/144.06 |
% 171.23/144.06 |-The branch is then unsatisfiable
% 171.23/144.06 |-Branch two:
% 171.23/144.06 | (138) ~ (all_0_15_15 = xn)
% 171.23/144.06 | (358) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xm, all_0_15_15) = v0 & sdtpldt0(xm, xn) = v1)
% 171.23/144.06 |
% 171.23/144.06 | Instantiating (358) with all_99_0_98, all_99_1_99 yields:
% 171.23/144.06 | (359) ~ (all_99_0_98 = all_99_1_99) & sdtpldt0(xm, all_0_15_15) = all_99_1_99 & sdtpldt0(xm, xn) = all_99_0_98
% 171.23/144.06 |
% 171.23/144.06 | Applying alpha-rule on (359) yields:
% 171.23/144.06 | (360) ~ (all_99_0_98 = all_99_1_99)
% 171.23/144.06 | (361) sdtpldt0(xm, all_0_15_15) = all_99_1_99
% 171.23/144.06 | (362) sdtpldt0(xm, xn) = all_99_0_98
% 171.23/144.06 |
% 171.23/144.06 +-Applying beta-rule and splitting (202), into two cases.
% 171.23/144.06 |-Branch one:
% 171.23/144.06 | (319) all_0_15_15 = xn
% 171.23/144.06 |
% 171.23/144.06 | Equations (319) can reduce 138 to:
% 171.23/144.06 | (316) $false
% 171.23/144.06 |
% 171.23/144.06 |-The branch is then unsatisfiable
% 171.23/144.06 |-Branch two:
% 171.23/144.06 | (138) ~ (all_0_15_15 = xn)
% 171.23/144.06 | (366) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_0_13_13) & ~ (v1 = v0) & sdtpldt0(xm, all_0_15_15) = v0 & sdtpldt0(xm, xn) = v1 & sdtpldt0(xn, xm) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_0_13_13, v2))
% 171.23/144.06 |
% 171.23/144.06 | Instantiating (366) with all_105_0_100, all_105_1_101, all_105_2_102 yields:
% 171.23/144.06 | (367) ~ (all_105_0_100 = all_0_13_13) & ~ (all_105_1_101 = all_105_2_102) & sdtpldt0(xm, all_0_15_15) = all_105_2_102 & sdtpldt0(xm, xn) = all_105_1_101 & sdtpldt0(xn, xm) = all_105_0_100 & sdtlseqdt0(all_105_2_102, all_105_1_101) & sdtlseqdt0(all_0_13_13, all_105_0_100)
% 171.23/144.06 |
% 171.23/144.06 | Applying alpha-rule on (367) yields:
% 171.23/144.06 | (368) ~ (all_105_1_101 = all_105_2_102)
% 171.23/144.06 | (369) ~ (all_105_0_100 = all_0_13_13)
% 171.23/144.06 | (370) sdtlseqdt0(all_105_2_102, all_105_1_101)
% 171.23/144.06 | (371) sdtpldt0(xn, xm) = all_105_0_100
% 171.23/144.06 | (372) sdtlseqdt0(all_0_13_13, all_105_0_100)
% 171.23/144.06 | (373) sdtpldt0(xm, xn) = all_105_1_101
% 171.23/144.06 | (374) sdtpldt0(xm, all_0_15_15) = all_105_2_102
% 171.23/144.06 |
% 171.23/144.06 +-Applying beta-rule and splitting (197), into two cases.
% 171.23/144.06 |-Branch one:
% 171.23/144.06 | (375) xr = sz00
% 171.23/144.06 |
% 171.23/144.06 | Equations (375) can reduce 151 to:
% 171.23/144.06 | (316) $false
% 171.23/144.06 |
% 171.23/144.06 |-The branch is then unsatisfiable
% 171.23/144.06 |-Branch two:
% 171.23/144.06 | (151) ~ (xr = sz00)
% 171.23/144.06 | (378) ? [v0] : (sdtsldt0(v0, xr) = xn & sdtasdt0(xr, xn) = v0)
% 171.23/144.06 |
% 171.23/144.06 | Instantiating (378) with all_110_0_103 yields:
% 171.23/144.06 | (379) sdtsldt0(all_110_0_103, xr) = xn & sdtasdt0(xr, xn) = all_110_0_103
% 171.23/144.06 |
% 171.23/144.06 | Applying alpha-rule on (379) yields:
% 171.23/144.06 | (380) sdtsldt0(all_110_0_103, xr) = xn
% 171.23/144.06 | (381) sdtasdt0(xr, xn) = all_110_0_103
% 171.23/144.06 |
% 171.23/144.06 +-Applying beta-rule and splitting (205), into two cases.
% 171.23/144.06 |-Branch one:
% 171.23/144.06 | (343) xp = xn
% 171.23/144.06 |
% 171.23/144.06 | Equations (343) can reduce 157 to:
% 171.23/144.06 | (316) $false
% 171.23/144.06 |
% 171.23/144.06 |-The branch is then unsatisfiable
% 171.23/144.06 |-Branch two:
% 171.23/144.06 | (157) ~ (xp = xn)
% 171.23/144.06 | (385) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = xp) & ~ (v1 = v0) & sdtpldt0(all_0_1_1, xp) = v1 & sdtpldt0(all_0_1_1, xn) = v0 & sdtpldt0(xp, all_0_1_1) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(xp, v2))
% 171.23/144.06 |
% 171.23/144.06 | Instantiating (385) with all_115_0_104, all_115_1_105, all_115_2_106 yields:
% 171.23/144.06 | (386) ~ (all_115_0_104 = xp) & ~ (all_115_1_105 = all_115_2_106) & sdtpldt0(all_0_1_1, xp) = all_115_1_105 & sdtpldt0(all_0_1_1, xn) = all_115_2_106 & sdtpldt0(xp, all_0_1_1) = all_115_0_104 & sdtlseqdt0(all_115_2_106, all_115_1_105) & sdtlseqdt0(xp, all_115_0_104)
% 171.23/144.06 |
% 171.23/144.06 | Applying alpha-rule on (386) yields:
% 171.23/144.06 | (387) sdtpldt0(xp, all_0_1_1) = all_115_0_104
% 171.23/144.06 | (388) sdtpldt0(all_0_1_1, xp) = all_115_1_105
% 171.23/144.06 | (389) ~ (all_115_0_104 = xp)
% 171.23/144.06 | (390) sdtlseqdt0(all_115_2_106, all_115_1_105)
% 171.23/144.06 | (391) sdtlseqdt0(xp, all_115_0_104)
% 171.23/144.06 | (392) sdtpldt0(all_0_1_1, xn) = all_115_2_106
% 171.23/144.06 | (393) ~ (all_115_1_105 = all_115_2_106)
% 171.23/144.06 |
% 171.23/144.06 +-Applying beta-rule and splitting (191), into two cases.
% 171.23/144.06 |-Branch one:
% 171.23/144.06 | (331) xp = xm
% 171.23/144.06 |
% 171.23/144.06 | Equations (331) can reduce 104 to:
% 171.23/144.06 | (316) $false
% 171.23/144.06 |
% 171.23/144.06 |-The branch is then unsatisfiable
% 171.23/144.06 |-Branch two:
% 171.23/144.06 | (104) ~ (xp = xm)
% 171.23/144.06 | (397) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_0_13_13) & sdtpldt0(all_0_15_15, xp) = v0 & sdtpldt0(xp, all_0_15_15) = v2 & sdtpldt0(xm, all_0_15_15) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_0_13_13, v0))
% 171.23/144.06 |
% 171.23/144.06 | Instantiating (397) with all_120_0_107, all_120_1_108, all_120_2_109 yields:
% 171.23/144.06 | (398) ~ (all_120_0_107 = all_120_1_108) & ~ (all_120_2_109 = all_0_13_13) & sdtpldt0(all_0_15_15, xp) = all_120_2_109 & sdtpldt0(xp, all_0_15_15) = all_120_0_107 & sdtpldt0(xm, all_0_15_15) = all_120_1_108 & sdtlseqdt0(all_120_1_108, all_120_0_107) & sdtlseqdt0(all_0_13_13, all_120_2_109)
% 171.23/144.06 |
% 171.23/144.06 | Applying alpha-rule on (398) yields:
% 171.23/144.06 | (399) sdtpldt0(all_0_15_15, xp) = all_120_2_109
% 171.23/144.06 | (400) sdtlseqdt0(all_120_1_108, all_120_0_107)
% 171.23/144.06 | (401) sdtpldt0(xm, all_0_15_15) = all_120_1_108
% 171.23/144.06 | (402) sdtpldt0(xp, all_0_15_15) = all_120_0_107
% 171.23/144.06 | (403) ~ (all_120_2_109 = all_0_13_13)
% 171.23/144.06 | (404) sdtlseqdt0(all_0_13_13, all_120_2_109)
% 171.23/144.06 | (405) ~ (all_120_0_107 = all_120_1_108)
% 171.23/144.06 |
% 171.23/144.06 +-Applying beta-rule and splitting (194), into two cases.
% 171.23/144.06 |-Branch one:
% 171.23/144.06 | (331) xp = xm
% 171.23/144.07 |
% 171.23/144.07 | Equations (331) can reduce 104 to:
% 171.23/144.07 | (316) $false
% 171.23/144.07 |
% 171.23/144.07 |-The branch is then unsatisfiable
% 171.23/144.07 |-Branch two:
% 171.23/144.07 | (104) ~ (xp = xm)
% 171.23/144.07 | (409) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = xp) & ~ (v1 = v0) & sdtpldt0(all_0_2_2, xp) = v1 & sdtpldt0(all_0_2_2, xm) = v0 & sdtpldt0(xp, all_0_2_2) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(xp, v2))
% 171.23/144.07 |
% 171.23/144.07 | Instantiating (409) with all_125_0_110, all_125_1_111, all_125_2_112 yields:
% 171.23/144.07 | (410) ~ (all_125_0_110 = xp) & ~ (all_125_1_111 = all_125_2_112) & sdtpldt0(all_0_2_2, xp) = all_125_1_111 & sdtpldt0(all_0_2_2, xm) = all_125_2_112 & sdtpldt0(xp, all_0_2_2) = all_125_0_110 & sdtlseqdt0(all_125_2_112, all_125_1_111) & sdtlseqdt0(xp, all_125_0_110)
% 171.23/144.07 |
% 171.23/144.07 | Applying alpha-rule on (410) yields:
% 171.23/144.07 | (411) ~ (all_125_1_111 = all_125_2_112)
% 171.23/144.07 | (412) sdtpldt0(all_0_2_2, xp) = all_125_1_111
% 171.23/144.07 | (413) sdtlseqdt0(all_125_2_112, all_125_1_111)
% 171.23/144.07 | (414) sdtpldt0(xp, all_0_2_2) = all_125_0_110
% 171.23/144.07 | (415) sdtlseqdt0(xp, all_125_0_110)
% 171.23/144.07 | (416) ~ (all_125_0_110 = xp)
% 171.23/144.07 | (417) sdtpldt0(all_0_2_2, xm) = all_125_2_112
% 171.23/144.07 |
% 171.23/144.07 +-Applying beta-rule and splitting (179), into two cases.
% 171.23/144.07 |-Branch one:
% 171.23/144.07 | (418) xk = xp
% 171.23/144.07 |
% 171.23/144.07 | Equations (418) can reduce 99 to:
% 171.23/144.07 | (316) $false
% 171.23/144.07 |
% 171.23/144.07 |-The branch is then unsatisfiable
% 171.23/144.07 |-Branch two:
% 171.23/144.07 | (99) ~ (xk = xp)
% 171.23/144.07 | (421) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = xp) & ~ (v1 = v0) & sdtpldt0(all_0_6_6, xk) = v0 & sdtpldt0(all_0_6_6, xp) = v1 & sdtpldt0(xp, all_0_6_6) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(xp, v2))
% 171.23/144.07 |
% 171.23/144.07 | Instantiating (421) with all_130_0_113, all_130_1_114, all_130_2_115 yields:
% 171.23/144.07 | (422) ~ (all_130_0_113 = xp) & ~ (all_130_1_114 = all_130_2_115) & sdtpldt0(all_0_6_6, xk) = all_130_2_115 & sdtpldt0(all_0_6_6, xp) = all_130_1_114 & sdtpldt0(xp, all_0_6_6) = all_130_0_113 & sdtlseqdt0(all_130_2_115, all_130_1_114) & sdtlseqdt0(xp, all_130_0_113)
% 171.23/144.07 |
% 171.23/144.07 | Applying alpha-rule on (422) yields:
% 171.23/144.07 | (423) ~ (all_130_0_113 = xp)
% 171.23/144.07 | (424) sdtpldt0(xp, all_0_6_6) = all_130_0_113
% 171.23/144.07 | (425) sdtlseqdt0(all_130_2_115, all_130_1_114)
% 171.23/144.07 | (426) sdtpldt0(all_0_6_6, xk) = all_130_2_115
% 171.23/144.07 | (427) sdtlseqdt0(xp, all_130_0_113)
% 171.23/144.07 | (428) ~ (all_130_1_114 = all_130_2_115)
% 171.23/144.07 | (429) sdtpldt0(all_0_6_6, xp) = all_130_1_114
% 171.23/144.07 |
% 171.23/144.07 +-Applying beta-rule and splitting (201), into two cases.
% 171.23/144.07 |-Branch one:
% 171.23/144.07 | (319) all_0_15_15 = xn
% 171.23/144.07 |
% 171.23/144.07 | Equations (319) can reduce 138 to:
% 171.23/144.07 | (316) $false
% 171.23/144.07 |
% 171.23/144.07 |-The branch is then unsatisfiable
% 171.23/144.07 |-Branch two:
% 171.23/144.07 | (138) ~ (all_0_15_15 = xn)
% 171.23/144.07 | (433) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xm, all_0_15_15) = v1 & sdtpldt0(xm, xn) = v0)
% 171.23/144.07 |
% 171.23/144.07 | Instantiating (433) with all_140_0_116, all_140_1_117 yields:
% 171.23/144.07 | (434) ~ (all_140_0_116 = all_140_1_117) & sdtpldt0(xm, all_0_15_15) = all_140_0_116 & sdtpldt0(xm, xn) = all_140_1_117
% 171.23/144.07 |
% 171.23/144.07 | Applying alpha-rule on (434) yields:
% 171.23/144.07 | (435) ~ (all_140_0_116 = all_140_1_117)
% 171.23/144.07 | (436) sdtpldt0(xm, all_0_15_15) = all_140_0_116
% 171.23/144.07 | (437) sdtpldt0(xm, xn) = all_140_1_117
% 171.23/144.07 |
% 171.23/144.07 +-Applying beta-rule and splitting (204), into two cases.
% 171.23/144.07 |-Branch one:
% 171.23/144.07 | (319) all_0_15_15 = xn
% 171.23/144.07 |
% 171.23/144.07 | Equations (319) can reduce 138 to:
% 171.23/144.07 | (316) $false
% 171.23/144.07 |
% 171.23/144.07 |-The branch is then unsatisfiable
% 171.23/144.07 |-Branch two:
% 171.23/144.07 | (138) ~ (all_0_15_15 = xn)
% 171.23/144.07 | (441) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = xp) & ~ (v1 = v0) & sdtpldt0(all_0_1_1, all_0_15_15) = v0 & sdtpldt0(all_0_1_1, xn) = v1 & sdtpldt0(all_0_15_15, all_0_1_1) = v2 & sdtlseqdt0(v2, xp) & sdtlseqdt0(v0, v1))
% 171.23/144.07 |
% 171.23/144.07 +-Applying beta-rule and splitting (170), into two cases.
% 171.23/144.07 |-Branch one:
% 171.23/144.07 | (375) xr = sz00
% 171.23/144.07 |
% 171.23/144.07 | Equations (375) can reduce 151 to:
% 171.23/144.07 | (316) $false
% 171.23/144.07 |
% 171.23/144.07 |-The branch is then unsatisfiable
% 171.23/144.07 |-Branch two:
% 171.23/144.07 | (151) ~ (xr = sz00)
% 171.23/144.07 | (445) all_0_9_9 = all_0_15_15 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(all_0_9_9, xr) = v0 & sdtasdt0(all_0_15_15, xr) = v1)
% 171.23/144.07 |
% 171.23/144.07 +-Applying beta-rule and splitting (445), into two cases.
% 171.23/144.07 |-Branch one:
% 171.23/144.07 | (446) all_0_9_9 = all_0_15_15
% 171.23/144.07 |
% 171.23/144.07 | From (446) and (169) follows:
% 171.23/144.07 | (447) sdtasdt0(all_0_15_15, xr) = xn
% 171.23/144.07 |
% 171.23/144.07 | From (446) and (291) follows:
% 171.23/144.07 | (448) sdtasdt0(all_0_15_15, xm) = all_47_0_70
% 171.23/144.07 |
% 171.23/144.07 | From (446) and (145) follows:
% 171.23/144.07 | (41) sdtasdt0(xr, all_0_15_15) = xn
% 171.23/144.07 |
% 171.23/144.07 | From (446) and (97) follows:
% 171.23/144.07 | (44) aNaturalNumber0(all_0_15_15)
% 171.23/144.07 |
% 171.23/144.07 +-Applying beta-rule and splitting (165), into two cases.
% 171.23/144.07 |-Branch one:
% 171.23/144.07 | (451) xp = sz00
% 171.23/144.07 |
% 171.23/144.07 | Equations (451) can reduce 40 to:
% 171.23/144.07 | (316) $false
% 171.23/144.07 |
% 171.23/144.07 |-The branch is then unsatisfiable
% 171.23/144.07 |-Branch two:
% 171.23/144.07 | (40) ~ (xp = sz00)
% 171.23/144.07 | (454) all_0_0_0 = xk
% 171.23/144.07 |
% 171.23/144.07 | From (454) and (229) follows:
% 171.23/144.07 | (455) sdtasdt0(xk, xk) = all_17_3_30
% 171.23/144.07 |
% 171.23/144.07 | From (454) and (305) follows:
% 171.23/144.07 | (456) sdtasdt0(xk, xp) = all_53_4_85
% 171.23/144.07 |
% 171.23/144.07 | From (454) and (274) follows:
% 171.23/144.07 | (457) sdtasdt0(xk, xp) = all_39_4_62
% 171.23/144.07 |
% 171.23/144.07 | From (454) and (226) follows:
% 171.23/144.07 | (458) sdtasdt0(xk, xp) = all_17_4_31
% 171.23/144.07 |
% 171.23/144.07 | From (454) and (177) follows:
% 171.23/144.07 | (459) sdtasdt0(xk, xp) = all_0_16_16
% 171.23/144.07 |
% 171.23/144.07 | From (454) and (304) follows:
% 171.23/144.07 | (460) sdtasdt0(xk, xm) = all_53_3_84
% 171.23/144.07 |
% 171.23/144.07 | From (454) and (271) follows:
% 171.23/144.07 | (461) sdtasdt0(xk, xn) = all_39_3_61
% 171.23/144.07 |
% 171.23/144.07 | From (454) and (228) follows:
% 171.23/144.07 | (462) sdtasdt0(xk, xk) = all_17_1_28
% 171.23/144.07 |
% 171.23/144.07 | From (454) and (5) follows:
% 171.23/144.07 | (125) sdtasdt0(xp, xk) = all_0_16_16
% 171.23/144.07 |
% 171.23/144.07 | From (454) and (302) follows:
% 171.23/144.07 | (464) sdtasdt0(xm, xk) = all_53_1_82
% 171.23/144.07 |
% 171.23/144.07 | From (454) and (270) follows:
% 171.23/144.07 | (465) sdtasdt0(xn, xk) = all_39_1_59
% 171.23/144.07 |
% 171.23/144.07 | From (454) and (71) follows:
% 171.23/144.07 | (100) aNaturalNumber0(xk)
% 171.23/144.07 |
% 171.23/144.07 +-Applying beta-rule and splitting (171), into two cases.
% 171.23/144.07 |-Branch one:
% 171.23/144.07 | (375) xr = sz00
% 171.23/144.07 |
% 171.23/144.07 | Equations (375) can reduce 151 to:
% 171.23/144.07 | (316) $false
% 171.23/144.07 |
% 171.23/144.07 |-The branch is then unsatisfiable
% 171.23/144.07 |-Branch two:
% 171.23/144.07 | (151) ~ (xr = sz00)
% 171.23/144.07 | (470) xr = sz10 | ? [v0] : (isPrime0(v0) & doDivides0(v0, xr) & aNaturalNumber0(v0))
% 171.23/144.07 |
% 171.23/144.07 +-Applying beta-rule and splitting (181), into two cases.
% 171.23/144.07 |-Branch one:
% 171.23/144.07 | (471) sdtlseqdt0(sz10, xp)
% 171.23/144.07 |
% 171.23/144.07 +-Applying beta-rule and splitting (200), into two cases.
% 171.23/144.07 |-Branch one:
% 171.23/144.07 | (319) all_0_15_15 = xn
% 171.23/144.07 |
% 171.23/144.07 | Equations (319) can reduce 138 to:
% 171.23/144.07 | (316) $false
% 171.23/144.07 |
% 171.23/144.07 |-The branch is then unsatisfiable
% 171.23/144.07 |-Branch two:
% 171.23/144.07 | (138) ~ (all_0_15_15 = xn)
% 171.23/144.07 | (475) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = xn) & ~ (v1 = v0) & sdtpldt0(all_0_10_10, all_0_15_15) = v0 & sdtpldt0(all_0_10_10, xn) = v1 & sdtpldt0(xn, all_0_10_10) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(xn, v2))
% 171.23/144.07 |
% 171.23/144.07 | Instantiating (475) with all_181_0_121, all_181_1_122, all_181_2_123 yields:
% 171.23/144.07 | (476) ~ (all_181_0_121 = xn) & ~ (all_181_1_122 = all_181_2_123) & sdtpldt0(all_0_10_10, all_0_15_15) = all_181_2_123 & sdtpldt0(all_0_10_10, xn) = all_181_1_122 & sdtpldt0(xn, all_0_10_10) = all_181_0_121 & sdtlseqdt0(all_181_2_123, all_181_1_122) & sdtlseqdt0(xn, all_181_0_121)
% 171.23/144.07 |
% 171.23/144.07 | Applying alpha-rule on (476) yields:
% 171.23/144.07 | (477) ~ (all_181_1_122 = all_181_2_123)
% 171.23/144.07 | (478) sdtlseqdt0(xn, all_181_0_121)
% 171.23/144.07 | (479) sdtpldt0(all_0_10_10, xn) = all_181_1_122
% 171.23/144.07 | (480) sdtlseqdt0(all_181_2_123, all_181_1_122)
% 171.23/144.07 | (481) sdtpldt0(xn, all_0_10_10) = all_181_0_121
% 171.23/144.07 | (482) ~ (all_181_0_121 = xn)
% 171.23/144.07 | (483) sdtpldt0(all_0_10_10, all_0_15_15) = all_181_2_123
% 171.23/144.07 |
% 171.23/144.07 +-Applying beta-rule and splitting (182), into two cases.
% 171.23/144.07 |-Branch one:
% 171.23/144.07 | (451) xp = sz00
% 171.23/144.07 |
% 171.23/144.07 | Equations (451) can reduce 40 to:
% 171.23/144.07 | (316) $false
% 171.23/144.07 |
% 171.23/144.07 |-The branch is then unsatisfiable
% 171.23/144.07 |-Branch two:
% 171.23/144.07 | (40) ~ (xp = sz00)
% 171.23/144.07 | (487) xp = sz10 | ? [v0] : (isPrime0(v0) & doDivides0(v0, xp) & aNaturalNumber0(v0))
% 171.23/144.07 |
% 171.23/144.07 +-Applying beta-rule and splitting (167), into two cases.
% 171.23/144.07 |-Branch one:
% 171.23/144.07 | (488) all_0_0_0 = sz00
% 171.23/144.07 |
% 171.23/144.08 | Combining equations (488,454) yields a new equation:
% 171.23/144.08 | (315) xk = sz00
% 171.23/144.08 |
% 171.23/144.08 | Equations (315) can reduce 58 to:
% 171.23/144.08 | (316) $false
% 171.23/144.08 |
% 171.23/144.08 |-The branch is then unsatisfiable
% 171.23/144.08 |-Branch two:
% 171.23/144.08 | (491) ~ (all_0_0_0 = sz00)
% 171.23/144.08 | (492) all_0_0_0 = sz10 | ? [v0] : (isPrime0(v0) & doDivides0(v0, all_0_0_0) & aNaturalNumber0(v0))
% 171.23/144.08 |
% 171.23/144.08 | Equations (454) can reduce 491 to:
% 171.23/144.08 | (58) ~ (xk = sz00)
% 171.23/144.08 |
% 171.23/144.08 +-Applying beta-rule and splitting (487), into two cases.
% 171.23/144.08 |-Branch one:
% 171.23/144.08 | (494) xp = sz10
% 171.23/144.08 |
% 171.23/144.08 | Equations (494) can reduce 31 to:
% 171.23/144.08 | (316) $false
% 171.23/144.08 |
% 171.23/144.08 |-The branch is then unsatisfiable
% 171.23/144.08 |-Branch two:
% 171.23/144.08 | (31) ~ (xp = sz10)
% 171.23/144.08 | (497) ? [v0] : (isPrime0(v0) & doDivides0(v0, xp) & aNaturalNumber0(v0))
% 171.23/144.08 |
% 171.23/144.08 | Instantiating formula (135) with all_0_15_15, xm, all_45_1_66, all_0_14_14 and discharging atoms sdtasdt0(all_0_15_15, xm) = all_45_1_66, sdtasdt0(all_0_15_15, xm) = all_0_14_14, yields:
% 171.23/144.08 | (498) all_45_1_66 = all_0_14_14
% 171.23/144.08 |
% 171.23/144.08 | Instantiating formula (135) with all_0_15_15, xm, all_45_1_66, all_47_0_70 and discharging atoms sdtasdt0(all_0_15_15, xm) = all_47_0_70, sdtasdt0(all_0_15_15, xm) = all_45_1_66, yields:
% 171.23/144.08 | (499) all_47_0_70 = all_45_1_66
% 171.23/144.08 |
% 171.23/144.08 | Instantiating formula (135) with all_0_15_15, xm, all_43_0_64, all_47_0_70 and discharging atoms sdtasdt0(all_0_15_15, xm) = all_47_0_70, sdtasdt0(all_0_15_15, xm) = all_43_0_64, yields:
% 171.23/144.08 | (500) all_47_0_70 = all_43_0_64
% 171.23/144.08 |
% 171.23/144.08 | Instantiating formula (135) with xk, xk, all_27_3_47, all_27_1_45 and discharging atoms sdtasdt0(xk, xk) = all_27_1_45, sdtasdt0(xk, xk) = all_27_3_47, yields:
% 171.23/144.08 | (501) all_27_1_45 = all_27_3_47
% 171.23/144.08 |
% 171.23/144.08 | Instantiating formula (135) with xk, xk, all_17_1_28, all_27_1_45 and discharging atoms sdtasdt0(xk, xk) = all_27_1_45, sdtasdt0(xk, xk) = all_17_1_28, yields:
% 171.23/144.08 | (502) all_27_1_45 = all_17_1_28
% 171.23/144.08 |
% 171.23/144.08 | Instantiating formula (135) with xk, xk, all_17_3_30, all_27_3_47 and discharging atoms sdtasdt0(xk, xk) = all_27_3_47, sdtasdt0(xk, xk) = all_17_3_30, yields:
% 171.23/144.08 | (503) all_27_3_47 = all_17_3_30
% 171.23/144.08 |
% 171.23/144.08 | Instantiating formula (135) with xk, xp, all_39_4_62, all_49_4_75 and discharging atoms sdtasdt0(xk, xp) = all_49_4_75, sdtasdt0(xk, xp) = all_39_4_62, yields:
% 171.23/144.08 | (504) all_49_4_75 = all_39_4_62
% 171.23/144.08 |
% 171.23/144.08 | Instantiating formula (135) with xk, xp, all_27_4_48, all_39_4_62 and discharging atoms sdtasdt0(xk, xp) = all_39_4_62, sdtasdt0(xk, xp) = all_27_4_48, yields:
% 171.23/144.08 | (505) all_39_4_62 = all_27_4_48
% 171.23/144.08 |
% 171.23/144.08 | Instantiating formula (135) with xk, xp, all_25_4_43, all_53_4_85 and discharging atoms sdtasdt0(xk, xp) = all_53_4_85, sdtasdt0(xk, xp) = all_25_4_43, yields:
% 171.23/144.08 | (506) all_53_4_85 = all_25_4_43
% 171.23/144.08 |
% 171.23/144.08 | Instantiating formula (135) with xk, xp, all_23_2_36, all_53_4_85 and discharging atoms sdtasdt0(xk, xp) = all_53_4_85, sdtasdt0(xk, xp) = all_23_2_36, yields:
% 171.23/144.08 | (507) all_53_4_85 = all_23_2_36
% 171.23/144.08 |
% 171.23/144.08 | Instantiating formula (135) with xk, xp, all_23_2_36, all_27_4_48 and discharging atoms sdtasdt0(xk, xp) = all_27_4_48, sdtasdt0(xk, xp) = all_23_2_36, yields:
% 171.23/144.08 | (508) all_27_4_48 = all_23_2_36
% 171.23/144.08 |
% 171.23/144.08 | Instantiating formula (135) with xk, xp, all_17_4_31, all_53_4_85 and discharging atoms sdtasdt0(xk, xp) = all_53_4_85, sdtasdt0(xk, xp) = all_17_4_31, yields:
% 171.23/144.08 | (509) all_53_4_85 = all_17_4_31
% 171.23/144.08 |
% 171.23/144.08 | Instantiating formula (135) with xk, xp, all_0_16_16, all_49_4_75 and discharging atoms sdtasdt0(xk, xp) = all_49_4_75, sdtasdt0(xk, xp) = all_0_16_16, yields:
% 171.23/144.08 | (510) all_49_4_75 = all_0_16_16
% 171.23/144.08 |
% 171.23/144.08 | Instantiating formula (135) with xk, xm, all_49_3_74, all_53_3_84 and discharging atoms sdtasdt0(xk, xm) = all_53_3_84, sdtasdt0(xk, xm) = all_49_3_74, yields:
% 171.23/144.08 | (511) all_53_3_84 = all_49_3_74
% 171.23/144.08 |
% 171.23/144.08 | Instantiating formula (135) with xk, xn, all_25_3_42, all_39_3_61 and discharging atoms sdtasdt0(xk, xn) = all_39_3_61, sdtasdt0(xk, xn) = all_25_3_42, yields:
% 171.23/144.08 | (512) all_39_3_61 = all_25_3_42
% 171.23/144.08 |
% 171.23/144.08 | Instantiating formula (135) with xp, xr, all_23_4_38, all_29_0_49 and discharging atoms sdtasdt0(xp, xr) = all_29_0_49, sdtasdt0(xp, xr) = all_23_4_38, yields:
% 171.23/144.08 | (513) all_29_0_49 = all_23_4_38
% 171.23/144.08 |
% 171.23/144.08 | Instantiating formula (135) with xm, all_0_15_15, all_0_14_14, all_45_3_68 and discharging atoms sdtasdt0(xm, all_0_15_15) = all_45_3_68, sdtasdt0(xm, all_0_15_15) = all_0_14_14, yields:
% 171.23/144.08 | (514) all_45_3_68 = all_0_14_14
% 171.23/144.08 |
% 171.23/144.08 | Instantiating formula (135) with xm, xk, all_49_1_72, all_53_1_82 and discharging atoms sdtasdt0(xm, xk) = all_53_1_82, sdtasdt0(xm, xk) = all_49_1_72, yields:
% 171.23/144.08 | (515) all_53_1_82 = all_49_1_72
% 171.23/144.08 |
% 171.23/144.08 | Instantiating formula (135) with xn, xk, all_25_1_40, all_39_1_59 and discharging atoms sdtasdt0(xn, xk) = all_39_1_59, sdtasdt0(xn, xk) = all_25_1_40, yields:
% 171.23/144.08 | (516) all_39_1_59 = all_25_1_40
% 171.23/144.08 |
% 171.23/144.08 | Instantiating formula (131) with xm, all_0_15_15, all_120_1_108, all_140_0_116 and discharging atoms sdtpldt0(xm, all_0_15_15) = all_140_0_116, sdtpldt0(xm, all_0_15_15) = all_120_1_108, yields:
% 171.23/144.08 | (517) all_140_0_116 = all_120_1_108
% 171.23/144.08 |
% 171.23/144.08 | Instantiating formula (131) with xm, all_0_15_15, all_99_1_99, all_120_1_108 and discharging atoms sdtpldt0(xm, all_0_15_15) = all_120_1_108, sdtpldt0(xm, all_0_15_15) = all_99_1_99, yields:
% 171.23/144.08 | (518) all_120_1_108 = all_99_1_99
% 171.23/144.08 |
% 171.23/144.08 | Instantiating formula (131) with xm, all_0_15_15, all_99_1_99, all_105_2_102 and discharging atoms sdtpldt0(xm, all_0_15_15) = all_105_2_102, sdtpldt0(xm, all_0_15_15) = all_99_1_99, yields:
% 171.23/144.08 | (519) all_105_2_102 = all_99_1_99
% 171.23/144.08 |
% 171.23/144.08 | Instantiating formula (131) with xm, all_0_15_15, all_83_2_91, all_105_2_102 and discharging atoms sdtpldt0(xm, all_0_15_15) = all_105_2_102, sdtpldt0(xm, all_0_15_15) = all_83_2_91, yields:
% 171.23/144.08 | (520) all_105_2_102 = all_83_2_91
% 171.23/144.08 |
% 171.23/144.08 | Instantiating formula (131) with xm, all_0_15_15, all_0_13_13, all_140_0_116 and discharging atoms sdtpldt0(xm, all_0_15_15) = all_140_0_116, sdtpldt0(xm, all_0_15_15) = all_0_13_13, yields:
% 171.23/144.08 | (521) all_140_0_116 = all_0_13_13
% 171.23/144.08 |
% 171.23/144.08 | Instantiating formula (131) with xm, xp, all_41_0_63, all_93_1_96 and discharging atoms sdtpldt0(xm, xp) = all_93_1_96, sdtpldt0(xm, xp) = all_41_0_63, yields:
% 171.23/144.08 | (522) all_93_1_96 = all_41_0_63
% 171.23/144.08 |
% 171.23/144.08 | Instantiating formula (131) with xm, xp, all_31_0_50, all_93_1_96 and discharging atoms sdtpldt0(xm, xp) = all_93_1_96, sdtpldt0(xm, xp) = all_31_0_50, yields:
% 171.23/144.08 | (523) all_93_1_96 = all_31_0_50
% 171.23/144.08 |
% 171.23/144.08 | Instantiating formula (131) with xm, xn, all_105_1_101, all_140_1_117 and discharging atoms sdtpldt0(xm, xn) = all_140_1_117, sdtpldt0(xm, xn) = all_105_1_101, yields:
% 171.23/144.08 | (524) all_140_1_117 = all_105_1_101
% 171.23/144.08 |
% 171.23/144.08 | Instantiating formula (131) with xm, xn, all_99_0_98, all_105_1_101 and discharging atoms sdtpldt0(xm, xn) = all_105_1_101, sdtpldt0(xm, xn) = all_99_0_98, yields:
% 171.23/144.08 | (525) all_105_1_101 = all_99_0_98
% 171.23/144.08 |
% 171.23/144.08 | Instantiating formula (131) with xm, xn, all_93_2_97, all_99_0_98 and discharging atoms sdtpldt0(xm, xn) = all_99_0_98, sdtpldt0(xm, xn) = all_93_2_97, yields:
% 171.23/144.08 | (526) all_99_0_98 = all_93_2_97
% 171.23/144.08 |
% 171.23/144.08 | Instantiating formula (131) with xm, xn, all_88_1_93, all_93_2_97 and discharging atoms sdtpldt0(xm, xn) = all_93_2_97, sdtpldt0(xm, xn) = all_88_1_93, yields:
% 171.23/144.08 | (527) all_93_2_97 = all_88_1_93
% 171.23/144.08 |
% 171.23/144.08 | Instantiating formula (131) with xm, xn, all_83_1_90, all_140_1_117 and discharging atoms sdtpldt0(xm, xn) = all_140_1_117, sdtpldt0(xm, xn) = all_83_1_90, yields:
% 171.23/144.08 | (528) all_140_1_117 = all_83_1_90
% 171.23/144.08 |
% 171.23/144.08 | Instantiating formula (131) with xm, xn, all_0_18_18, all_93_2_97 and discharging atoms sdtpldt0(xm, xn) = all_93_2_97, sdtpldt0(xm, xn) = all_0_18_18, yields:
% 171.23/144.08 | (529) all_93_2_97 = all_0_18_18
% 171.23/144.08 |
% 171.23/144.08 | Instantiating formula (131) with xn, xm, all_105_0_100, all_0_18_18 and discharging atoms sdtpldt0(xn, xm) = all_105_0_100, sdtpldt0(xn, xm) = all_0_18_18, yields:
% 171.23/144.08 | (530) all_105_0_100 = all_0_18_18
% 171.23/144.08 |
% 171.23/144.08 | Instantiating formula (74) with xn, all_0_15_15, all_57_0_87, xr and discharging atoms sdtasdt0(xr, all_57_0_87) = xn, sdtasdt0(xr, all_0_15_15) = xn, aNaturalNumber0(all_57_0_87), aNaturalNumber0(all_0_15_15), aNaturalNumber0(xr), yields:
% 171.23/144.08 | (531) all_57_0_87 = all_0_15_15 | xr = sz00
% 171.23/144.08 |
% 171.23/144.08 | Instantiating formula (117) with xn, all_0_10_10, all_55_0_86, all_0_15_15 and discharging atoms sdtpldt0(all_0_15_15, all_55_0_86) = xn, sdtpldt0(all_0_15_15, all_0_10_10) = xn, aNaturalNumber0(all_55_0_86), aNaturalNumber0(all_0_10_10), aNaturalNumber0(all_0_15_15), yields:
% 171.23/144.08 | (532) all_55_0_86 = all_0_10_10
% 171.23/144.08 |
% 171.23/144.08 | Instantiating formula (117) with xp, all_0_6_6, all_33_0_51, xk and discharging atoms sdtpldt0(xk, all_33_0_51) = xp, sdtpldt0(xk, all_0_6_6) = xp, aNaturalNumber0(all_33_0_51), aNaturalNumber0(all_0_6_6), aNaturalNumber0(xk), yields:
% 171.23/144.08 | (533) all_33_0_51 = all_0_6_6
% 171.23/144.08 |
% 171.23/144.08 | Instantiating formula (117) with xp, all_0_1_1, all_19_0_32, xn and discharging atoms sdtpldt0(xn, all_19_0_32) = xp, sdtpldt0(xn, all_0_1_1) = xp, aNaturalNumber0(all_19_0_32), aNaturalNumber0(all_0_1_1), aNaturalNumber0(xn), yields:
% 171.23/144.08 | (534) all_19_0_32 = all_0_1_1
% 171.23/144.08 |
% 171.23/144.08 | Instantiating formula (117) with xp, all_0_2_2, all_11_0_20, xm and discharging atoms sdtpldt0(xm, all_11_0_20) = xp, sdtpldt0(xm, all_0_2_2) = xp, aNaturalNumber0(all_11_0_20), aNaturalNumber0(all_0_2_2), aNaturalNumber0(xm), yields:
% 171.23/144.08 | (535) all_11_0_20 = all_0_2_2
% 171.23/144.08 |
% 171.23/144.08 | Instantiating formula (74) with xk, all_0_3_3, all_9_0_19, xr and discharging atoms sdtasdt0(xr, all_9_0_19) = xk, sdtasdt0(xr, all_0_3_3) = xk, aNaturalNumber0(all_9_0_19), aNaturalNumber0(all_0_3_3), aNaturalNumber0(xr), yields:
% 171.23/144.08 | (536) all_9_0_19 = all_0_3_3 | xr = sz00
% 171.23/144.08 |
% 171.23/144.08 | Combining equations (517,521) yields a new equation:
% 171.23/144.08 | (537) all_120_1_108 = all_0_13_13
% 171.23/144.08 |
% 171.23/144.08 | Simplifying 537 yields:
% 171.23/144.08 | (538) all_120_1_108 = all_0_13_13
% 171.23/144.08 |
% 171.23/144.08 | Combining equations (524,528) yields a new equation:
% 171.23/144.08 | (539) all_105_1_101 = all_83_1_90
% 171.23/144.08 |
% 171.23/144.08 | Simplifying 539 yields:
% 171.23/144.08 | (540) all_105_1_101 = all_83_1_90
% 171.23/144.08 |
% 171.23/144.08 | Combining equations (518,538) yields a new equation:
% 171.23/144.08 | (541) all_99_1_99 = all_0_13_13
% 171.23/144.08 |
% 171.23/144.08 | Simplifying 541 yields:
% 171.23/144.08 | (542) all_99_1_99 = all_0_13_13
% 171.23/144.08 |
% 171.23/144.08 | Combining equations (525,540) yields a new equation:
% 171.23/144.08 | (543) all_99_0_98 = all_83_1_90
% 171.23/144.08 |
% 171.23/144.08 | Simplifying 543 yields:
% 171.23/144.08 | (544) all_99_0_98 = all_83_1_90
% 171.23/144.08 |
% 171.23/144.08 | Combining equations (519,520) yields a new equation:
% 171.23/144.08 | (545) all_99_1_99 = all_83_2_91
% 171.23/144.08 |
% 171.23/144.08 | Simplifying 545 yields:
% 171.23/144.08 | (546) all_99_1_99 = all_83_2_91
% 171.23/144.08 |
% 171.23/144.08 | Combining equations (526,544) yields a new equation:
% 171.23/144.08 | (547) all_93_2_97 = all_83_1_90
% 171.23/144.08 |
% 171.23/144.08 | Simplifying 547 yields:
% 171.23/144.08 | (548) all_93_2_97 = all_83_1_90
% 171.23/144.08 |
% 171.23/144.08 | Combining equations (546,542) yields a new equation:
% 171.23/144.08 | (549) all_83_2_91 = all_0_13_13
% 171.23/144.08 |
% 171.23/144.08 | Simplifying 549 yields:
% 171.23/144.09 | (550) all_83_2_91 = all_0_13_13
% 171.23/144.09 |
% 171.23/144.09 | Combining equations (523,522) yields a new equation:
% 171.23/144.09 | (551) all_41_0_63 = all_31_0_50
% 171.23/144.09 |
% 171.23/144.09 | Combining equations (529,527) yields a new equation:
% 171.23/144.09 | (552) all_88_1_93 = all_0_18_18
% 171.23/144.09 |
% 171.23/144.09 | Combining equations (548,527) yields a new equation:
% 171.23/144.09 | (553) all_88_1_93 = all_83_1_90
% 171.23/144.09 |
% 171.23/144.09 | Combining equations (552,553) yields a new equation:
% 171.23/144.09 | (554) all_83_1_90 = all_0_18_18
% 171.23/144.09 |
% 171.23/144.09 | Combining equations (509,506) yields a new equation:
% 171.23/144.09 | (555) all_25_4_43 = all_17_4_31
% 171.23/144.09 |
% 171.23/144.09 | Combining equations (507,506) yields a new equation:
% 171.23/144.09 | (556) all_25_4_43 = all_23_2_36
% 171.23/144.09 |
% 171.23/144.09 | Combining equations (504,510) yields a new equation:
% 171.23/144.09 | (557) all_39_4_62 = all_0_16_16
% 171.23/144.09 |
% 171.23/144.09 | Simplifying 557 yields:
% 171.23/144.09 | (558) all_39_4_62 = all_0_16_16
% 171.23/144.09 |
% 171.23/144.09 | Combining equations (499,500) yields a new equation:
% 171.23/144.09 | (559) all_45_1_66 = all_43_0_64
% 171.23/144.09 |
% 171.23/144.09 | Simplifying 559 yields:
% 171.23/144.09 | (560) all_45_1_66 = all_43_0_64
% 171.23/144.09 |
% 171.23/144.09 | Combining equations (498,560) yields a new equation:
% 171.23/144.09 | (561) all_43_0_64 = all_0_14_14
% 171.23/144.09 |
% 171.23/144.09 | Combining equations (505,558) yields a new equation:
% 171.23/144.09 | (562) all_27_4_48 = all_0_16_16
% 171.23/144.09 |
% 171.23/144.09 | Simplifying 562 yields:
% 171.23/144.09 | (563) all_27_4_48 = all_0_16_16
% 171.23/144.09 |
% 171.23/144.09 | Combining equations (501,502) yields a new equation:
% 171.23/144.09 | (564) all_27_3_47 = all_17_1_28
% 171.23/144.09 |
% 171.23/144.09 | Simplifying 564 yields:
% 171.23/144.09 | (565) all_27_3_47 = all_17_1_28
% 171.23/144.09 |
% 171.23/144.09 | Combining equations (565,503) yields a new equation:
% 171.23/144.09 | (566) all_17_1_28 = all_17_3_30
% 171.23/144.09 |
% 171.23/144.09 | Simplifying 566 yields:
% 171.23/144.09 | (567) all_17_1_28 = all_17_3_30
% 171.23/144.09 |
% 171.23/144.09 | Combining equations (508,563) yields a new equation:
% 171.23/144.09 | (568) all_23_2_36 = all_0_16_16
% 171.23/144.09 |
% 171.23/144.09 | Simplifying 568 yields:
% 171.23/144.09 | (569) all_23_2_36 = all_0_16_16
% 171.23/144.09 |
% 171.23/144.09 | Combining equations (556,555) yields a new equation:
% 171.23/144.09 | (570) all_23_2_36 = all_17_4_31
% 171.23/144.09 |
% 171.23/144.09 | Simplifying 570 yields:
% 171.23/144.09 | (571) all_23_2_36 = all_17_4_31
% 171.23/144.09 |
% 171.23/144.09 | Combining equations (571,569) yields a new equation:
% 171.23/144.09 | (572) all_17_4_31 = all_0_16_16
% 171.23/144.09 |
% 171.23/144.09 | Simplifying 572 yields:
% 171.23/144.09 | (573) all_17_4_31 = all_0_16_16
% 171.23/144.09 |
% 171.23/144.09 | Equations (554,550) can reduce 328 to:
% 171.23/144.09 | (574) ~ (all_0_13_13 = all_0_18_18)
% 171.23/144.09 |
% 171.23/144.09 | Simplifying 574 yields:
% 171.23/144.09 | (575) ~ (all_0_13_13 = all_0_18_18)
% 171.23/144.09 |
% 171.23/144.09 | From (561) and (281) follows:
% 171.23/144.09 | (576) sdtasdt0(xr, all_0_14_14) = all_0_16_16
% 171.23/144.09 |
% 171.23/144.09 | From (567) and (462) follows:
% 171.23/144.09 | (455) sdtasdt0(xk, xk) = all_17_3_30
% 171.23/144.09 |
% 171.23/144.09 | From (573) and (458) follows:
% 171.23/144.09 | (459) sdtasdt0(xk, xp) = all_0_16_16
% 171.23/144.09 |
% 171.23/144.09 | From (511) and (460) follows:
% 171.23/144.09 | (299) sdtasdt0(xk, xm) = all_49_3_74
% 171.23/144.09 |
% 171.23/144.09 | From (512) and (461) follows:
% 171.23/144.09 | (248) sdtasdt0(xk, xn) = all_25_3_42
% 171.23/144.09 |
% 171.23/144.09 | From (513) and (261) follows:
% 171.23/144.09 | (238) sdtasdt0(xp, xr) = all_23_4_38
% 171.23/144.09 |
% 171.23/144.09 | From (514) and (284) follows:
% 171.23/144.09 | (183) sdtasdt0(xm, all_0_15_15) = all_0_14_14
% 171.23/144.09 |
% 171.23/144.09 | From (515) and (464) follows:
% 171.23/144.09 | (298) sdtasdt0(xm, xk) = all_49_1_72
% 171.23/144.09 |
% 171.23/144.09 | From (516) and (465) follows:
% 171.23/144.09 | (250) sdtasdt0(xn, xk) = all_25_1_40
% 171.23/144.09 |
% 171.23/144.09 | From (551) and (278) follows:
% 171.23/144.09 | (263) sdtpldt0(xm, xp) = all_31_0_50
% 171.23/144.09 |
% 171.23/144.09 | From (530) and (372) follows:
% 171.23/144.09 | (586) sdtlseqdt0(all_0_13_13, all_0_18_18)
% 171.23/144.09 |
% 171.23/144.09 | From (532) and (311) follows:
% 171.23/144.09 | (28) aNaturalNumber0(all_0_10_10)
% 171.23/144.09 |
% 171.23/144.09 | From (533) and (267) follows:
% 171.23/144.09 | (10) aNaturalNumber0(all_0_6_6)
% 171.23/144.09 |
% 171.23/144.09 | From (534) and (234) follows:
% 171.23/144.09 | (23) aNaturalNumber0(all_0_1_1)
% 171.23/144.09 |
% 171.23/144.09 | From (535) and (220) follows:
% 171.23/144.09 | (4) aNaturalNumber0(all_0_2_2)
% 171.23/144.09 |
% 171.23/144.09 +-Applying beta-rule and splitting (531), into two cases.
% 171.23/144.09 |-Branch one:
% 171.23/144.09 | (375) xr = sz00
% 171.23/144.09 |
% 171.23/144.09 | Equations (375) can reduce 151 to:
% 171.23/144.09 | (316) $false
% 171.23/144.09 |
% 171.23/144.09 |-The branch is then unsatisfiable
% 171.23/144.09 |-Branch two:
% 171.23/144.09 | (151) ~ (xr = sz00)
% 171.23/144.09 | (594) all_57_0_87 = all_0_15_15
% 171.23/144.09 |
% 171.23/144.09 | From (594) and (313) follows:
% 171.23/144.09 | (41) sdtasdt0(xr, all_0_15_15) = xn
% 171.23/144.09 |
% 171.23/144.09 | From (594) and (314) follows:
% 171.23/144.09 | (44) aNaturalNumber0(all_0_15_15)
% 171.23/144.09 |
% 171.23/144.09 +-Applying beta-rule and splitting (536), into two cases.
% 171.23/144.09 |-Branch one:
% 171.23/144.09 | (375) xr = sz00
% 171.23/144.09 |
% 171.23/144.09 | Equations (375) can reduce 151 to:
% 171.23/144.09 | (316) $false
% 171.23/144.09 |
% 171.23/144.09 |-The branch is then unsatisfiable
% 171.23/144.09 |-Branch two:
% 171.23/144.09 | (151) ~ (xr = sz00)
% 171.23/144.09 | (600) all_9_0_19 = all_0_3_3
% 171.23/144.09 |
% 171.23/144.09 | Instantiating formula (14) with all_110_0_103, xn, xn, all_0_15_15, xr and discharging atoms sdtasdt0(xr, all_0_15_15) = xn, sdtasdt0(xr, xn) = all_110_0_103, sdtlseqdt0(all_0_15_15, xn), aNaturalNumber0(all_0_15_15), aNaturalNumber0(xr), aNaturalNumber0(xn), yields:
% 171.23/144.09 | (601) all_0_15_15 = xn | xr = sz00 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(all_0_15_15, xr) = v0 & sdtasdt0(xn, xr) = v1 & sdtlseqdt0(v0, v1))
% 171.23/144.09 |
% 171.23/144.09 | Instantiating formula (159) with xn, all_110_0_103, xn, all_0_15_15, xr and discharging atoms sdtasdt0(all_0_15_15, xr) = xn, sdtasdt0(xr, xn) = all_110_0_103, sdtlseqdt0(all_0_15_15, xn), aNaturalNumber0(all_0_15_15), aNaturalNumber0(xr), aNaturalNumber0(xn), yields:
% 171.23/144.09 | (602) all_0_15_15 = xn | xr = sz00 | ? [v0] : ? [v1] : ( ~ (v1 = xn) & ~ (v0 = all_110_0_103) & sdtasdt0(xr, all_0_15_15) = v0 & sdtasdt0(xn, xr) = v1 & sdtlseqdt0(v0, all_110_0_103) & sdtlseqdt0(xn, v1))
% 171.23/144.09 |
% 171.23/144.09 | Instantiating formula (112) with xn, all_110_0_103, all_0_15_15, xn, xr and discharging atoms sdtasdt0(all_0_15_15, xr) = xn, sdtasdt0(xr, xn) = all_110_0_103, aNaturalNumber0(all_0_15_15), aNaturalNumber0(xr), aNaturalNumber0(xn), yields:
% 171.23/144.09 | (603) all_0_15_15 = xn | xr = sz00 | ? [v0] : ? [v1] : ( ~ (v1 = xn) & ~ (v0 = all_110_0_103) & sdtasdt0(xr, all_0_15_15) = v0 & sdtasdt0(xn, xr) = v1)
% 171.23/144.09 |
% 171.23/144.09 | Instantiating formula (14) with all_23_1_35, all_110_0_103, xp, xn, xr and discharging atoms sdtasdt0(xr, xp) = all_23_1_35, sdtasdt0(xr, xn) = all_110_0_103, sdtlseqdt0(xn, xp), aNaturalNumber0(xr), aNaturalNumber0(xp), aNaturalNumber0(xn), yields:
% 171.23/144.09 | (604) xr = sz00 | xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xp, xr) = v1 & sdtasdt0(xn, xr) = v0 & sdtlseqdt0(v0, v1))
% 171.23/144.09 |
% 171.23/144.09 | Instantiating formula (18) with all_23_1_35, all_110_0_103, xp, xn, xr and discharging atoms sdtasdt0(xr, xp) = all_23_1_35, sdtasdt0(xr, xn) = all_110_0_103, aNaturalNumber0(xr), aNaturalNumber0(xp), aNaturalNumber0(xn), yields:
% 171.23/144.09 | (605) xr = sz00 | xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xp, xr) = v1 & sdtasdt0(xn, xr) = v0)
% 171.23/144.09 |
% 171.23/144.09 | Instantiating formula (18) with all_110_0_103, all_23_1_35, xn, xp, xr and discharging atoms sdtasdt0(xr, xp) = all_23_1_35, sdtasdt0(xr, xn) = all_110_0_103, aNaturalNumber0(xr), aNaturalNumber0(xp), aNaturalNumber0(xn), yields:
% 171.23/144.09 | (606) xr = sz00 | xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xp, xr) = v0 & sdtasdt0(xn, xr) = v1)
% 171.23/144.09 |
% 171.23/144.09 | Instantiating formula (101) with all_0_16_16, all_17_3_30, xp, xk, xk and discharging atoms sdtasdt0(xk, xk) = all_17_3_30, sdtasdt0(xp, xk) = all_0_16_16, sdtlseqdt0(xk, xp), aNaturalNumber0(xk), aNaturalNumber0(xp), yields:
% 171.23/144.09 | (607) xk = xp | xk = sz00 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xk, xk) = v0 & sdtasdt0(xk, xp) = v1 & sdtlseqdt0(v0, v1))
% 171.23/144.09 |
% 171.23/144.09 | Instantiating formula (8) with all_17_3_30, all_0_16_16, xk, xp, xk and discharging atoms sdtasdt0(xk, xk) = all_17_3_30, sdtasdt0(xp, xk) = all_0_16_16, aNaturalNumber0(xk), aNaturalNumber0(xp), yields:
% 171.23/144.09 | (608) xk = xp | xk = sz00 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xk, xk) = v1 & sdtasdt0(xk, xp) = v0)
% 171.23/144.09 |
% 171.23/144.09 | Instantiating formula (8) with all_0_16_16, all_17_3_30, xp, xk, xk and discharging atoms sdtasdt0(xk, xk) = all_17_3_30, sdtasdt0(xp, xk) = all_0_16_16, aNaturalNumber0(xk), aNaturalNumber0(xp), yields:
% 171.23/144.09 | (609) xk = xp | xk = sz00 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xk, xk) = v0 & sdtasdt0(xk, xp) = v1)
% 171.23/144.09 |
% 171.23/144.10 | Instantiating formula (156) with all_0_16_16, all_17_3_30, xp, xk, xk and discharging atoms sdtasdt0(xk, xk) = all_17_3_30, sdtasdt0(xp, xk) = all_0_16_16, sdtlseqdt0(xk, xp), aNaturalNumber0(xk), aNaturalNumber0(xp), yields:
% 171.23/144.10 | (610) xk = xp | xk = sz00 | ? [v0] : ? [v1] : ( ~ (v1 = all_0_16_16) & ~ (v0 = all_17_3_30) & sdtasdt0(xk, xk) = v1 & sdtasdt0(xk, xp) = v0 & sdtlseqdt0(v1, all_0_16_16) & sdtlseqdt0(all_17_3_30, v0))
% 171.23/144.10 |
% 171.23/144.10 | Instantiating formula (109) with all_0_16_16, all_17_3_30, xk, xp, xk and discharging atoms sdtasdt0(xk, xk) = all_17_3_30, sdtasdt0(xp, xk) = all_0_16_16, aNaturalNumber0(xk), aNaturalNumber0(xp), yields:
% 171.23/144.10 | (611) xk = xp | xk = sz00 | ? [v0] : ? [v1] : ( ~ (v1 = all_0_16_16) & ~ (v0 = all_17_3_30) & sdtasdt0(xk, xk) = v1 & sdtasdt0(xk, xp) = v0)
% 171.23/144.10 |
% 171.23/144.10 | Instantiating formula (14) with all_0_16_16, all_17_3_30, xp, xk, xk and discharging atoms sdtasdt0(xk, xk) = all_17_3_30, sdtasdt0(xk, xp) = all_0_16_16, sdtlseqdt0(xk, xp), aNaturalNumber0(xk), aNaturalNumber0(xp), yields:
% 171.23/144.10 | (612) xk = xp | xk = sz00 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xk, xk) = v0 & sdtasdt0(xp, xk) = v1 & sdtlseqdt0(v0, v1))
% 171.23/144.10 |
% 171.23/144.10 | Instantiating formula (18) with all_17_3_30, all_0_16_16, xk, xp, xk and discharging atoms sdtasdt0(xk, xk) = all_17_3_30, sdtasdt0(xk, xp) = all_0_16_16, aNaturalNumber0(xk), aNaturalNumber0(xp), yields:
% 171.23/144.10 | (613) xk = xp | xk = sz00 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xk, xk) = v1 & sdtasdt0(xp, xk) = v0)
% 171.23/144.10 |
% 171.23/144.10 | Instantiating formula (159) with all_17_3_30, all_0_16_16, xp, xk, xk and discharging atoms sdtasdt0(xk, xk) = all_17_3_30, sdtasdt0(xk, xp) = all_0_16_16, sdtlseqdt0(xk, xp), aNaturalNumber0(xk), aNaturalNumber0(xp), yields:
% 171.23/144.10 | (614) xk = xp | xk = sz00 | ? [v0] : ? [v1] : ( ~ (v1 = all_17_3_30) & ~ (v0 = all_0_16_16) & sdtasdt0(xk, xk) = v0 & sdtasdt0(xp, xk) = v1 & sdtlseqdt0(v0, all_0_16_16) & sdtlseqdt0(all_17_3_30, v1))
% 171.23/144.10 |
% 171.23/144.10 | Instantiating formula (156) with all_0_16_16, all_49_3_74, xp, xm, xk and discharging atoms sdtasdt0(xk, xm) = all_49_3_74, sdtasdt0(xp, xk) = all_0_16_16, sdtlseqdt0(xm, xp), aNaturalNumber0(xk), aNaturalNumber0(xp), aNaturalNumber0(xm), yields:
% 171.23/144.10 | (615) xk = sz00 | xp = xm | ? [v0] : ? [v1] : ( ~ (v1 = all_0_16_16) & ~ (v0 = all_49_3_74) & sdtasdt0(xk, xp) = v0 & sdtasdt0(xm, xk) = v1 & sdtlseqdt0(v1, all_0_16_16) & sdtlseqdt0(all_49_3_74, v0))
% 171.23/144.10 |
% 171.23/144.10 | Instantiating formula (112) with all_0_16_16, all_49_3_74, xp, xm, xk and discharging atoms sdtasdt0(xk, xm) = all_49_3_74, sdtasdt0(xp, xk) = all_0_16_16, aNaturalNumber0(xk), aNaturalNumber0(xp), aNaturalNumber0(xm), yields:
% 171.23/144.10 | (616) xk = sz00 | xp = xm | ? [v0] : ? [v1] : ( ~ (v1 = all_0_16_16) & ~ (v0 = all_49_3_74) & sdtasdt0(xk, xp) = v0 & sdtasdt0(xm, xk) = v1)
% 171.23/144.10 |
% 171.23/144.10 | Instantiating formula (14) with all_0_16_16, all_49_3_74, xp, xm, xk and discharging atoms sdtasdt0(xk, xp) = all_0_16_16, sdtasdt0(xk, xm) = all_49_3_74, sdtlseqdt0(xm, xp), aNaturalNumber0(xk), aNaturalNumber0(xp), aNaturalNumber0(xm), yields:
% 171.23/144.10 | (617) xk = sz00 | xp = xm | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xp, xk) = v1 & sdtasdt0(xm, xk) = v0 & sdtlseqdt0(v0, v1))
% 171.23/144.10 |
% 171.23/144.10 | Instantiating formula (18) with all_0_16_16, all_49_3_74, xp, xm, xk and discharging atoms sdtasdt0(xk, xp) = all_0_16_16, sdtasdt0(xk, xm) = all_49_3_74, aNaturalNumber0(xk), aNaturalNumber0(xp), aNaturalNumber0(xm), yields:
% 171.23/144.10 | (618) xk = sz00 | xp = xm | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xp, xk) = v1 & sdtasdt0(xm, xk) = v0)
% 171.23/144.10 |
% 171.23/144.10 | Instantiating formula (156) with all_0_16_16, all_25_3_42, xp, xn, xk and discharging atoms sdtasdt0(xk, xn) = all_25_3_42, sdtasdt0(xp, xk) = all_0_16_16, sdtlseqdt0(xn, xp), aNaturalNumber0(xk), aNaturalNumber0(xp), aNaturalNumber0(xn), yields:
% 171.23/144.10 | (619) xk = sz00 | xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = all_0_16_16) & ~ (v0 = all_25_3_42) & sdtasdt0(xk, xp) = v0 & sdtasdt0(xn, xk) = v1 & sdtlseqdt0(v1, all_0_16_16) & sdtlseqdt0(all_25_3_42, v0))
% 171.23/144.10 |
% 171.23/144.10 | Instantiating formula (112) with all_0_16_16, all_25_3_42, xp, xn, xk and discharging atoms sdtasdt0(xk, xn) = all_25_3_42, sdtasdt0(xp, xk) = all_0_16_16, aNaturalNumber0(xk), aNaturalNumber0(xp), aNaturalNumber0(xn), yields:
% 171.23/144.10 | (620) xk = sz00 | xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = all_0_16_16) & ~ (v0 = all_25_3_42) & sdtasdt0(xk, xp) = v0 & sdtasdt0(xn, xk) = v1)
% 171.23/144.10 |
% 171.23/144.10 | Instantiating formula (14) with all_0_16_16, all_25_3_42, xp, xn, xk and discharging atoms sdtasdt0(xk, xp) = all_0_16_16, sdtasdt0(xk, xn) = all_25_3_42, sdtlseqdt0(xn, xp), aNaturalNumber0(xk), aNaturalNumber0(xp), aNaturalNumber0(xn), yields:
% 171.23/144.10 | (621) xk = sz00 | xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xp, xk) = v1 & sdtasdt0(xn, xk) = v0 & sdtlseqdt0(v0, v1))
% 171.23/144.10 |
% 171.23/144.10 | Instantiating formula (18) with all_0_16_16, all_25_3_42, xp, xn, xk and discharging atoms sdtasdt0(xk, xp) = all_0_16_16, sdtasdt0(xk, xn) = all_25_3_42, aNaturalNumber0(xk), aNaturalNumber0(xp), aNaturalNumber0(xn), yields:
% 171.23/144.10 | (622) xk = sz00 | xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xp, xk) = v1 & sdtasdt0(xn, xk) = v0)
% 171.23/144.10 |
% 171.23/144.10 | Instantiating formula (18) with all_25_3_42, all_0_16_16, xn, xp, xk and discharging atoms sdtasdt0(xk, xp) = all_0_16_16, sdtasdt0(xk, xn) = all_25_3_42, aNaturalNumber0(xk), aNaturalNumber0(xp), aNaturalNumber0(xn), yields:
% 171.23/144.10 | (623) xk = sz00 | xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xp, xk) = v0 & sdtasdt0(xn, xk) = v1)
% 171.23/144.10 |
% 171.23/144.10 | Instantiating formula (156) with all_23_4_38, all_110_0_103, xp, xn, xr and discharging atoms sdtasdt0(xr, xn) = all_110_0_103, sdtasdt0(xp, xr) = all_23_4_38, sdtlseqdt0(xn, xp), aNaturalNumber0(xr), aNaturalNumber0(xp), aNaturalNumber0(xn), yields:
% 171.23/144.10 | (624) xr = sz00 | xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = all_23_4_38) & ~ (v0 = all_110_0_103) & sdtasdt0(xr, xp) = v0 & sdtasdt0(xn, xr) = v1 & sdtlseqdt0(v1, all_23_4_38) & sdtlseqdt0(all_110_0_103, v0))
% 171.23/144.10 |
% 171.23/144.10 | Instantiating formula (112) with all_23_4_38, all_110_0_103, xp, xn, xr and discharging atoms sdtasdt0(xr, xn) = all_110_0_103, sdtasdt0(xp, xr) = all_23_4_38, aNaturalNumber0(xr), aNaturalNumber0(xp), aNaturalNumber0(xn), yields:
% 171.23/144.10 | (625) xr = sz00 | xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = all_23_4_38) & ~ (v0 = all_110_0_103) & sdtasdt0(xr, xp) = v0 & sdtasdt0(xn, xr) = v1)
% 171.23/144.10 |
% 171.23/144.10 | Instantiating formula (144) with all_0_14_14, xm, all_0_15_15, xn, xr and discharging atoms sdtsldt0(xn, xr) = all_0_15_15, sdtasdt0(xm, all_0_15_15) = all_0_14_14, doDivides0(xr, xn), aNaturalNumber0(xr), aNaturalNumber0(xm), aNaturalNumber0(xn), yields:
% 171.56/144.10 | (626) xr = sz00 | ? [v0] : (sdtsldt0(v0, xr) = all_0_14_14 & sdtasdt0(xm, xn) = v0)
% 171.56/144.10 |
% 171.56/144.10 | Instantiating formula (101) with all_0_16_16, all_49_1_72, xp, xm, xk and discharging atoms sdtasdt0(xp, xk) = all_0_16_16, sdtasdt0(xm, xk) = all_49_1_72, sdtlseqdt0(xm, xp), aNaturalNumber0(xk), aNaturalNumber0(xp), aNaturalNumber0(xm), yields:
% 171.56/144.10 | (627) xk = sz00 | xp = xm | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xk, xp) = v1 & sdtasdt0(xk, xm) = v0 & sdtlseqdt0(v0, v1))
% 171.56/144.10 |
% 171.56/144.10 | Instantiating formula (8) with all_0_16_16, all_49_1_72, xp, xm, xk and discharging atoms sdtasdt0(xp, xk) = all_0_16_16, sdtasdt0(xm, xk) = all_49_1_72, aNaturalNumber0(xk), aNaturalNumber0(xp), aNaturalNumber0(xm), yields:
% 171.56/144.10 | (628) xk = sz00 | xp = xm | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xk, xp) = v1 & sdtasdt0(xk, xm) = v0)
% 171.56/144.10 |
% 171.56/144.10 | Instantiating formula (8) with all_49_1_72, all_0_16_16, xm, xp, xk and discharging atoms sdtasdt0(xp, xk) = all_0_16_16, sdtasdt0(xm, xk) = all_49_1_72, aNaturalNumber0(xk), aNaturalNumber0(xp), aNaturalNumber0(xm), yields:
% 171.56/144.10 | (629) xk = sz00 | xp = xm | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xk, xp) = v0 & sdtasdt0(xk, xm) = v1)
% 171.56/144.10 |
% 171.56/144.10 | Instantiating formula (159) with all_49_1_72, all_0_16_16, xp, xm, xk and discharging atoms sdtasdt0(xk, xp) = all_0_16_16, sdtasdt0(xm, xk) = all_49_1_72, sdtlseqdt0(xm, xp), aNaturalNumber0(xk), aNaturalNumber0(xp), aNaturalNumber0(xm), yields:
% 171.56/144.10 | (630) xk = sz00 | xp = xm | ? [v0] : ? [v1] : ( ~ (v1 = all_49_1_72) & ~ (v0 = all_0_16_16) & sdtasdt0(xk, xm) = v0 & sdtasdt0(xp, xk) = v1 & sdtlseqdt0(v0, all_0_16_16) & sdtlseqdt0(all_49_1_72, v1))
% 171.56/144.10 |
% 171.56/144.10 | Instantiating formula (109) with all_49_1_72, all_0_16_16, xp, xm, xk and discharging atoms sdtasdt0(xk, xp) = all_0_16_16, sdtasdt0(xm, xk) = all_49_1_72, aNaturalNumber0(xk), aNaturalNumber0(xp), aNaturalNumber0(xm), yields:
% 171.56/144.10 | (631) xk = sz00 | xp = xm | ? [v0] : ? [v1] : ( ~ (v1 = all_49_1_72) & ~ (v0 = all_0_16_16) & sdtasdt0(xk, xm) = v0 & sdtasdt0(xp, xk) = v1)
% 171.56/144.10 |
% 171.56/144.10 | Instantiating formula (101) with all_0_16_16, all_25_1_40, xp, xn, xk and discharging atoms sdtasdt0(xp, xk) = all_0_16_16, sdtasdt0(xn, xk) = all_25_1_40, sdtlseqdt0(xn, xp), aNaturalNumber0(xk), aNaturalNumber0(xp), aNaturalNumber0(xn), yields:
% 171.56/144.10 | (632) xk = sz00 | xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xk, xp) = v1 & sdtasdt0(xk, xn) = v0 & sdtlseqdt0(v0, v1))
% 171.56/144.10 |
% 171.56/144.10 | Instantiating formula (8) with all_0_16_16, all_25_1_40, xp, xn, xk and discharging atoms sdtasdt0(xp, xk) = all_0_16_16, sdtasdt0(xn, xk) = all_25_1_40, aNaturalNumber0(xk), aNaturalNumber0(xp), aNaturalNumber0(xn), yields:
% 171.56/144.10 | (633) xk = sz00 | xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xk, xp) = v1 & sdtasdt0(xk, xn) = v0)
% 171.56/144.10 |
% 171.56/144.10 | Instantiating formula (8) with all_25_1_40, all_0_16_16, xn, xp, xk and discharging atoms sdtasdt0(xp, xk) = all_0_16_16, sdtasdt0(xn, xk) = all_25_1_40, aNaturalNumber0(xk), aNaturalNumber0(xp), aNaturalNumber0(xn), yields:
% 171.56/144.10 | (634) xk = sz00 | xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xk, xp) = v0 & sdtasdt0(xk, xn) = v1)
% 171.56/144.10 |
% 171.56/144.10 | Instantiating formula (159) with all_25_1_40, all_0_16_16, xp, xn, xk and discharging atoms sdtasdt0(xk, xp) = all_0_16_16, sdtasdt0(xn, xk) = all_25_1_40, sdtlseqdt0(xn, xp), aNaturalNumber0(xk), aNaturalNumber0(xp), aNaturalNumber0(xn), yields:
% 171.56/144.10 | (635) xk = sz00 | xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = all_25_1_40) & ~ (v0 = all_0_16_16) & sdtasdt0(xk, xn) = v0 & sdtasdt0(xp, xk) = v1 & sdtlseqdt0(v0, all_0_16_16) & sdtlseqdt0(all_25_1_40, v1))
% 171.56/144.10 |
% 171.56/144.10 | Instantiating formula (109) with all_25_1_40, all_0_16_16, xp, xn, xk and discharging atoms sdtasdt0(xk, xp) = all_0_16_16, sdtasdt0(xn, xk) = all_25_1_40, aNaturalNumber0(xk), aNaturalNumber0(xp), aNaturalNumber0(xn), yields:
% 171.56/144.10 | (636) xk = sz00 | xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = all_25_1_40) & ~ (v0 = all_0_16_16) & sdtasdt0(xk, xn) = v0 & sdtasdt0(xp, xk) = v1)
% 171.56/144.11 |
% 171.56/144.11 | Instantiating formula (114) with all_115_1_105, all_0_1_1, xp, xk and discharging atoms sdtpldt0(all_0_1_1, xp) = all_115_1_105, sdtlseqdt0(xk, xp), aNaturalNumber0(all_0_1_1), aNaturalNumber0(xk), aNaturalNumber0(xp), yields:
% 171.56/144.11 | (637) xk = xp | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_115_1_105) & sdtpldt0(all_0_1_1, xk) = v0 & sdtpldt0(xk, all_0_1_1) = v1 & sdtpldt0(xp, all_0_1_1) = v2 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_115_1_105))
% 171.56/144.11 |
% 171.56/144.11 | Instantiating formula (114) with all_115_1_105, all_0_1_1, xp, xm and discharging atoms sdtpldt0(all_0_1_1, xp) = all_115_1_105, sdtlseqdt0(xm, xp), aNaturalNumber0(all_0_1_1), aNaturalNumber0(xp), aNaturalNumber0(xm), yields:
% 171.56/144.11 | (638) xp = xm | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_115_1_105) & sdtpldt0(all_0_1_1, xm) = v0 & sdtpldt0(xp, all_0_1_1) = v2 & sdtpldt0(xm, all_0_1_1) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_115_1_105))
% 171.56/144.11 |
% 171.56/144.11 | Instantiating formula (114) with all_125_1_111, all_0_2_2, xp, xk and discharging atoms sdtpldt0(all_0_2_2, xp) = all_125_1_111, sdtlseqdt0(xk, xp), aNaturalNumber0(all_0_2_2), aNaturalNumber0(xk), aNaturalNumber0(xp), yields:
% 171.56/144.11 | (639) xk = xp | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_125_1_111) & sdtpldt0(all_0_2_2, xk) = v0 & sdtpldt0(xk, all_0_2_2) = v1 & sdtpldt0(xp, all_0_2_2) = v2 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_125_1_111))
% 171.56/144.11 |
% 171.56/144.11 | Instantiating formula (114) with all_125_1_111, all_0_2_2, xp, xn and discharging atoms sdtpldt0(all_0_2_2, xp) = all_125_1_111, sdtlseqdt0(xn, xp), aNaturalNumber0(all_0_2_2), aNaturalNumber0(xp), aNaturalNumber0(xn), yields:
% 171.56/144.11 | (640) xp = xn | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_125_1_111) & sdtpldt0(all_0_2_2, xn) = v0 & sdtpldt0(xp, all_0_2_2) = v2 & sdtpldt0(xn, all_0_2_2) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_125_1_111))
% 171.56/144.11 |
% 171.56/144.11 | Instantiating formula (114) with all_130_1_114, all_0_6_6, xp, xm and discharging atoms sdtpldt0(all_0_6_6, xp) = all_130_1_114, sdtlseqdt0(xm, xp), aNaturalNumber0(all_0_6_6), aNaturalNumber0(xp), aNaturalNumber0(xm), yields:
% 171.56/144.11 | (641) xp = xm | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_130_1_114) & sdtpldt0(all_0_6_6, xm) = v0 & sdtpldt0(xp, all_0_6_6) = v2 & sdtpldt0(xm, all_0_6_6) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_130_1_114))
% 171.56/144.11 |
% 171.56/144.11 | Instantiating formula (114) with all_130_1_114, all_0_6_6, xp, xn and discharging atoms sdtpldt0(all_0_6_6, xp) = all_130_1_114, sdtlseqdt0(xn, xp), aNaturalNumber0(all_0_6_6), aNaturalNumber0(xp), aNaturalNumber0(xn), yields:
% 171.56/144.11 | (642) xp = xn | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_130_1_114) & sdtpldt0(all_0_6_6, xn) = v0 & sdtpldt0(xp, all_0_6_6) = v2 & sdtpldt0(xn, all_0_6_6) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_130_1_114))
% 171.56/144.11 |
% 171.56/144.11 | Instantiating formula (154) with all_13_0_21, all_0_10_10, xp, xm and discharging atoms sdtpldt0(all_0_10_10, xm) = all_13_0_21, sdtlseqdt0(xm, xp), aNaturalNumber0(all_0_10_10), aNaturalNumber0(xp), aNaturalNumber0(xm), yields:
% 171.56/144.11 | (643) xp = xm | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_13_0_21) & sdtpldt0(all_0_10_10, xp) = v0 & sdtpldt0(xp, all_0_10_10) = v2 & sdtpldt0(xm, all_0_10_10) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_13_0_21, v0))
% 171.56/144.11 |
% 171.56/144.11 | Instantiating formula (154) with all_181_1_122, all_0_10_10, xp, xn and discharging atoms sdtpldt0(all_0_10_10, xn) = all_181_1_122, sdtlseqdt0(xn, xp), aNaturalNumber0(all_0_10_10), aNaturalNumber0(xp), aNaturalNumber0(xn), yields:
% 171.56/144.11 | (644) xp = xn | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_181_1_122) & sdtpldt0(all_0_10_10, xp) = v0 & sdtpldt0(xp, all_0_10_10) = v2 & sdtpldt0(xn, all_0_10_10) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_181_1_122, v0))
% 171.56/144.11 |
% 171.56/144.11 | Instantiating formula (114) with all_120_2_109, all_0_15_15, xp, xn and discharging atoms sdtpldt0(all_0_15_15, xp) = all_120_2_109, sdtlseqdt0(xn, xp), aNaturalNumber0(all_0_15_15), aNaturalNumber0(xp), aNaturalNumber0(xn), yields:
% 171.56/144.11 | (645) xp = xn | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_120_2_109) & sdtpldt0(all_0_15_15, xn) = v0 & sdtpldt0(xp, all_0_15_15) = v2 & sdtpldt0(xn, all_0_15_15) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_120_2_109))
% 171.56/144.11 |
% 171.56/144.11 | Instantiating formula (35) with all_125_0_110, all_0_2_2, xp, xk and discharging atoms sdtpldt0(xp, all_0_2_2) = all_125_0_110, sdtlseqdt0(xk, xp), aNaturalNumber0(all_0_2_2), aNaturalNumber0(xk), aNaturalNumber0(xp), yields:
% 171.56/144.11 | (646) xk = xp | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_125_0_110) & ~ (v1 = v0) & sdtpldt0(all_0_2_2, xk) = v0 & sdtpldt0(all_0_2_2, xp) = v1 & sdtpldt0(xk, all_0_2_2) = v2 & sdtlseqdt0(v2, all_125_0_110) & sdtlseqdt0(v0, v1))
% 171.56/144.11 |
% 171.56/144.11 | Instantiating formula (35) with all_125_0_110, all_0_2_2, xp, xn and discharging atoms sdtpldt0(xp, all_0_2_2) = all_125_0_110, sdtlseqdt0(xn, xp), aNaturalNumber0(all_0_2_2), aNaturalNumber0(xp), aNaturalNumber0(xn), yields:
% 171.56/144.11 | (647) xp = xn | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_125_0_110) & ~ (v1 = v0) & sdtpldt0(all_0_2_2, xp) = v1 & sdtpldt0(all_0_2_2, xn) = v0 & sdtpldt0(xn, all_0_2_2) = v2 & sdtlseqdt0(v2, all_125_0_110) & sdtlseqdt0(v0, v1))
% 171.56/144.11 |
% 171.56/144.11 | Instantiating formula (35) with all_130_0_113, all_0_6_6, xp, xm and discharging atoms sdtpldt0(xp, all_0_6_6) = all_130_0_113, sdtlseqdt0(xm, xp), aNaturalNumber0(all_0_6_6), aNaturalNumber0(xp), aNaturalNumber0(xm), yields:
% 171.56/144.11 | (648) xp = xm | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_130_0_113) & ~ (v1 = v0) & sdtpldt0(all_0_6_6, xp) = v1 & sdtpldt0(all_0_6_6, xm) = v0 & sdtpldt0(xm, all_0_6_6) = v2 & sdtlseqdt0(v2, all_130_0_113) & sdtlseqdt0(v0, v1))
% 171.56/144.11 |
% 171.56/144.11 | Instantiating formula (35) with all_130_0_113, all_0_6_6, xp, xn and discharging atoms sdtpldt0(xp, all_0_6_6) = all_130_0_113, sdtlseqdt0(xn, xp), aNaturalNumber0(all_0_6_6), aNaturalNumber0(xp), aNaturalNumber0(xn), yields:
% 171.56/144.11 | (649) xp = xn | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_130_0_113) & ~ (v1 = v0) & sdtpldt0(all_0_6_6, xp) = v1 & sdtpldt0(all_0_6_6, xn) = v0 & sdtpldt0(xn, all_0_6_6) = v2 & sdtlseqdt0(v2, all_130_0_113) & sdtlseqdt0(v0, v1))
% 171.56/144.11 |
% 171.56/144.11 | Instantiating formula (35) with all_120_0_107, all_0_15_15, xp, xn and discharging atoms sdtpldt0(xp, all_0_15_15) = all_120_0_107, sdtlseqdt0(xn, xp), aNaturalNumber0(all_0_15_15), aNaturalNumber0(xp), aNaturalNumber0(xn), yields:
% 171.56/144.11 | (650) xp = xn | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_120_0_107) & ~ (v1 = v0) & sdtpldt0(all_0_15_15, xp) = v1 & sdtpldt0(all_0_15_15, xn) = v0 & sdtpldt0(xn, all_0_15_15) = v2 & sdtlseqdt0(v2, all_120_0_107) & sdtlseqdt0(v0, v1))
% 171.56/144.11 |
% 171.56/144.11 | Instantiating formula (154) with all_93_0_95, xp, xp, xm and discharging atoms sdtpldt0(xp, xm) = all_93_0_95, sdtlseqdt0(xm, xp), aNaturalNumber0(xp), aNaturalNumber0(xm), yields:
% 171.56/144.11 | (651) xp = xm | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_93_0_95) & sdtpldt0(xp, xp) = v2 & sdtpldt0(xp, xp) = v0 & sdtpldt0(xm, xp) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_93_0_95, v0))
% 171.56/144.11 |
% 171.56/144.11 | Instantiating formula (35) with all_93_0_95, xm, xp, xm and discharging atoms sdtpldt0(xp, xm) = all_93_0_95, sdtlseqdt0(xm, xp), aNaturalNumber0(xp), aNaturalNumber0(xm), yields:
% 171.56/144.11 | (652) xp = xm | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_93_0_95) & ~ (v1 = v0) & sdtpldt0(xm, xp) = v1 & sdtpldt0(xm, xm) = v2 & sdtpldt0(xm, xm) = v0 & sdtlseqdt0(v2, all_93_0_95) & sdtlseqdt0(v0, v1))
% 171.56/144.11 |
% 171.56/144.11 | Instantiating formula (35) with all_88_0_92, xn, xp, xk and discharging atoms sdtpldt0(xp, xn) = all_88_0_92, sdtlseqdt0(xk, xp), aNaturalNumber0(xk), aNaturalNumber0(xp), aNaturalNumber0(xn), yields:
% 171.56/144.11 | (653) xk = xp | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_88_0_92) & ~ (v1 = v0) & sdtpldt0(xk, xn) = v2 & sdtpldt0(xn, xk) = v0 & sdtpldt0(xn, xp) = v1 & sdtlseqdt0(v2, all_88_0_92) & sdtlseqdt0(v0, v1))
% 171.56/144.11 |
% 171.56/144.11 | Instantiating formula (154) with all_88_0_92, xp, xp, xn and discharging atoms sdtpldt0(xp, xn) = all_88_0_92, sdtlseqdt0(xn, xp), aNaturalNumber0(xp), aNaturalNumber0(xn), yields:
% 171.56/144.11 | (654) xp = xn | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_88_0_92) & sdtpldt0(xp, xp) = v2 & sdtpldt0(xp, xp) = v0 & sdtpldt0(xn, xp) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_88_0_92, v0))
% 171.56/144.11 |
% 171.56/144.11 | Instantiating formula (35) with all_88_0_92, xn, xp, xn and discharging atoms sdtpldt0(xp, xn) = all_88_0_92, sdtlseqdt0(xn, xp), aNaturalNumber0(xp), aNaturalNumber0(xn), yields:
% 171.56/144.11 | (655) xp = xn | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_88_0_92) & ~ (v1 = v0) & sdtpldt0(xn, xp) = v1 & sdtpldt0(xn, xn) = v2 & sdtpldt0(xn, xn) = v0 & sdtlseqdt0(v2, all_88_0_92) & sdtlseqdt0(v0, v1))
% 171.56/144.11 |
% 171.56/144.11 | Instantiating formula (114) with all_31_0_50, xm, xp, xk and discharging atoms sdtpldt0(xm, xp) = all_31_0_50, sdtlseqdt0(xk, xp), aNaturalNumber0(xk), aNaturalNumber0(xp), aNaturalNumber0(xm), yields:
% 171.56/144.11 | (656) xk = xp | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_31_0_50) & sdtpldt0(xk, xm) = v1 & sdtpldt0(xp, xm) = v2 & sdtpldt0(xm, xk) = v0 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_31_0_50))
% 171.56/144.11 |
% 171.56/144.11 | Instantiating formula (114) with all_31_0_50, xm, xp, xm and discharging atoms sdtpldt0(xm, xp) = all_31_0_50, sdtlseqdt0(xm, xp), aNaturalNumber0(xp), aNaturalNumber0(xm), yields:
% 171.56/144.11 | (657) xp = xm | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_31_0_50) & sdtpldt0(xp, xm) = v2 & sdtpldt0(xm, xm) = v1 & sdtpldt0(xm, xm) = v0 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_31_0_50))
% 171.56/144.11 |
% 171.56/144.11 | Instantiating formula (78) with all_31_0_50, xp, xp, xm and discharging atoms sdtpldt0(xm, xp) = all_31_0_50, sdtlseqdt0(xm, xp), aNaturalNumber0(xp), aNaturalNumber0(xm), yields:
% 171.56/144.11 | (658) xp = xm | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_31_0_50) & ~ (v1 = v0) & sdtpldt0(xp, xp) = v2 & sdtpldt0(xp, xp) = v1 & sdtpldt0(xp, xm) = v0 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_31_0_50, v2))
% 171.56/144.11 |
% 171.56/144.11 | Instantiating formula (78) with all_181_0_121, all_0_10_10, xp, xn and discharging atoms sdtpldt0(xn, all_0_10_10) = all_181_0_121, sdtlseqdt0(xn, xp), aNaturalNumber0(all_0_10_10), aNaturalNumber0(xp), aNaturalNumber0(xn), yields:
% 171.56/144.11 | (659) xp = xn | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_181_0_121) & ~ (v1 = v0) & sdtpldt0(all_0_10_10, xp) = v1 & sdtpldt0(all_0_10_10, xn) = v0 & sdtpldt0(xp, all_0_10_10) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_181_0_121, v2))
% 171.56/144.11 |
% 171.56/144.11 | Instantiating formula (114) with all_88_2_94, xn, xp, xn and discharging atoms sdtpldt0(xn, xp) = all_88_2_94, sdtlseqdt0(xn, xp), aNaturalNumber0(xp), aNaturalNumber0(xn), yields:
% 171.56/144.11 | (660) xp = xn | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_88_2_94) & sdtpldt0(xp, xn) = v2 & sdtpldt0(xn, xn) = v1 & sdtpldt0(xn, xn) = v0 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_88_2_94))
% 171.56/144.11 |
% 171.56/144.11 | Instantiating formula (78) with all_88_2_94, xp, xp, xn and discharging atoms sdtpldt0(xn, xp) = all_88_2_94, sdtlseqdt0(xn, xp), aNaturalNumber0(xp), aNaturalNumber0(xn), yields:
% 171.56/144.12 | (661) xp = xn | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_88_2_94) & ~ (v1 = v0) & sdtpldt0(xp, xp) = v2 & sdtpldt0(xp, xp) = v1 & sdtpldt0(xp, xn) = v0 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_88_2_94, v2))
% 171.56/144.12 |
% 171.56/144.12 | Instantiating formula (114) with all_115_1_105, all_0_1_1, xp, sz10 and discharging atoms sdtpldt0(all_0_1_1, xp) = all_115_1_105, sdtlseqdt0(sz10, xp), aNaturalNumber0(all_0_1_1), aNaturalNumber0(xp), aNaturalNumber0(sz10), yields:
% 171.56/144.12 | (662) xp = sz10 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_115_1_105) & sdtpldt0(all_0_1_1, sz10) = v0 & sdtpldt0(xp, all_0_1_1) = v2 & sdtpldt0(sz10, all_0_1_1) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_115_1_105))
% 171.56/144.12 |
% 171.56/144.12 | Instantiating formula (114) with all_125_1_111, all_0_2_2, xp, sz10 and discharging atoms sdtpldt0(all_0_2_2, xp) = all_125_1_111, sdtlseqdt0(sz10, xp), aNaturalNumber0(all_0_2_2), aNaturalNumber0(xp), aNaturalNumber0(sz10), yields:
% 171.56/144.12 | (663) xp = sz10 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_125_1_111) & sdtpldt0(all_0_2_2, sz10) = v0 & sdtpldt0(xp, all_0_2_2) = v2 & sdtpldt0(sz10, all_0_2_2) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_125_1_111))
% 171.56/144.12 |
% 171.56/144.12 | Instantiating formula (114) with all_130_1_114, all_0_6_6, xp, sz10 and discharging atoms sdtpldt0(all_0_6_6, xp) = all_130_1_114, sdtlseqdt0(sz10, xp), aNaturalNumber0(all_0_6_6), aNaturalNumber0(xp), aNaturalNumber0(sz10), yields:
% 171.56/144.12 | (664) xp = sz10 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_130_1_114) & sdtpldt0(all_0_6_6, sz10) = v0 & sdtpldt0(xp, all_0_6_6) = v2 & sdtpldt0(sz10, all_0_6_6) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_130_1_114))
% 171.56/144.12 |
% 171.56/144.12 | Instantiating formula (114) with all_120_2_109, all_0_15_15, xp, sz10 and discharging atoms sdtpldt0(all_0_15_15, xp) = all_120_2_109, sdtlseqdt0(sz10, xp), aNaturalNumber0(all_0_15_15), aNaturalNumber0(xp), aNaturalNumber0(sz10), yields:
% 171.56/144.12 | (665) xp = sz10 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_120_2_109) & sdtpldt0(all_0_15_15, sz10) = v0 & sdtpldt0(xp, all_0_15_15) = v2 & sdtpldt0(sz10, all_0_15_15) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_120_2_109))
% 171.56/144.12 |
% 171.56/144.12 | Instantiating formula (35) with all_115_0_104, all_0_1_1, xp, sz10 and discharging atoms sdtpldt0(xp, all_0_1_1) = all_115_0_104, sdtlseqdt0(sz10, xp), aNaturalNumber0(all_0_1_1), aNaturalNumber0(xp), aNaturalNumber0(sz10), yields:
% 171.56/144.12 | (666) xp = sz10 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_115_0_104) & ~ (v1 = v0) & sdtpldt0(all_0_1_1, xp) = v1 & sdtpldt0(all_0_1_1, sz10) = v0 & sdtpldt0(sz10, all_0_1_1) = v2 & sdtlseqdt0(v2, all_115_0_104) & sdtlseqdt0(v0, v1))
% 171.56/144.12 |
% 171.56/144.12 | Instantiating formula (35) with all_125_0_110, all_0_2_2, xp, sz10 and discharging atoms sdtpldt0(xp, all_0_2_2) = all_125_0_110, sdtlseqdt0(sz10, xp), aNaturalNumber0(all_0_2_2), aNaturalNumber0(xp), aNaturalNumber0(sz10), yields:
% 171.56/144.12 | (667) xp = sz10 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_125_0_110) & ~ (v1 = v0) & sdtpldt0(all_0_2_2, xp) = v1 & sdtpldt0(all_0_2_2, sz10) = v0 & sdtpldt0(sz10, all_0_2_2) = v2 & sdtlseqdt0(v2, all_125_0_110) & sdtlseqdt0(v0, v1))
% 171.56/144.12 |
% 171.56/144.12 | Instantiating formula (35) with all_130_0_113, all_0_6_6, xp, sz10 and discharging atoms sdtpldt0(xp, all_0_6_6) = all_130_0_113, sdtlseqdt0(sz10, xp), aNaturalNumber0(all_0_6_6), aNaturalNumber0(xp), aNaturalNumber0(sz10), yields:
% 171.56/144.12 | (668) xp = sz10 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_130_0_113) & ~ (v1 = v0) & sdtpldt0(all_0_6_6, xp) = v1 & sdtpldt0(all_0_6_6, sz10) = v0 & sdtpldt0(sz10, all_0_6_6) = v2 & sdtlseqdt0(v2, all_130_0_113) & sdtlseqdt0(v0, v1))
% 171.56/144.12 |
% 171.56/144.12 | Instantiating formula (35) with all_120_0_107, all_0_15_15, xp, sz10 and discharging atoms sdtpldt0(xp, all_0_15_15) = all_120_0_107, sdtlseqdt0(sz10, xp), aNaturalNumber0(all_0_15_15), aNaturalNumber0(xp), aNaturalNumber0(sz10), yields:
% 171.56/144.12 | (669) xp = sz10 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_120_0_107) & ~ (v1 = v0) & sdtpldt0(all_0_15_15, xp) = v1 & sdtpldt0(all_0_15_15, sz10) = v0 & sdtpldt0(sz10, all_0_15_15) = v2 & sdtlseqdt0(v2, all_120_0_107) & sdtlseqdt0(v0, v1))
% 171.56/144.12 |
% 171.56/144.12 | Instantiating formula (35) with all_93_0_95, xm, xp, sz10 and discharging atoms sdtpldt0(xp, xm) = all_93_0_95, sdtlseqdt0(sz10, xp), aNaturalNumber0(xp), aNaturalNumber0(xm), aNaturalNumber0(sz10), yields:
% 171.56/144.12 | (670) xp = sz10 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_93_0_95) & ~ (v1 = v0) & sdtpldt0(xm, xp) = v1 & sdtpldt0(xm, sz10) = v0 & sdtpldt0(sz10, xm) = v2 & sdtlseqdt0(v2, all_93_0_95) & sdtlseqdt0(v0, v1))
% 171.56/144.12 |
% 171.56/144.12 | Instantiating formula (35) with all_88_0_92, xn, xp, sz10 and discharging atoms sdtpldt0(xp, xn) = all_88_0_92, sdtlseqdt0(sz10, xp), aNaturalNumber0(xp), aNaturalNumber0(xn), aNaturalNumber0(sz10), yields:
% 171.56/144.12 | (671) xp = sz10 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_88_0_92) & ~ (v1 = v0) & sdtpldt0(xn, xp) = v1 & sdtpldt0(xn, sz10) = v0 & sdtpldt0(sz10, xn) = v2 & sdtlseqdt0(v2, all_88_0_92) & sdtlseqdt0(v0, v1))
% 171.56/144.12 |
% 171.56/144.12 | Instantiating formula (114) with all_31_0_50, xm, xp, sz10 and discharging atoms sdtpldt0(xm, xp) = all_31_0_50, sdtlseqdt0(sz10, xp), aNaturalNumber0(xp), aNaturalNumber0(xm), aNaturalNumber0(sz10), yields:
% 171.56/144.12 | (672) xp = sz10 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_31_0_50) & sdtpldt0(xp, xm) = v2 & sdtpldt0(xm, sz10) = v0 & sdtpldt0(sz10, xm) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_31_0_50))
% 171.56/144.12 |
% 171.56/144.12 | Instantiating formula (114) with all_88_2_94, xn, xp, sz10 and discharging atoms sdtpldt0(xn, xp) = all_88_2_94, sdtlseqdt0(sz10, xp), aNaturalNumber0(xp), aNaturalNumber0(xn), aNaturalNumber0(sz10), yields:
% 171.56/144.12 | (673) xp = sz10 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_88_2_94) & sdtpldt0(xp, xn) = v2 & sdtpldt0(xn, sz10) = v0 & sdtpldt0(sz10, xn) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_88_2_94))
% 171.56/144.12 |
% 171.56/144.12 | Instantiating formula (114) with all_0_12_12, all_0_13_13, xp, xk and discharging atoms sdtpldt0(all_0_13_13, xp) = all_0_12_12, sdtlseqdt0(xk, xp), aNaturalNumber0(all_0_13_13), aNaturalNumber0(xk), aNaturalNumber0(xp), yields:
% 171.56/144.12 | (674) xk = xp | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_0_12_12) & sdtpldt0(all_0_13_13, xk) = v0 & sdtpldt0(xk, all_0_13_13) = v1 & sdtpldt0(xp, all_0_13_13) = v2 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_0_12_12))
% 171.56/144.12 |
% 171.56/144.12 | Instantiating formula (114) with all_0_12_12, all_0_13_13, xp, xm and discharging atoms sdtpldt0(all_0_13_13, xp) = all_0_12_12, sdtlseqdt0(xm, xp), aNaturalNumber0(all_0_13_13), aNaturalNumber0(xp), aNaturalNumber0(xm), yields:
% 171.56/144.12 | (675) xp = xm | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_0_12_12) & sdtpldt0(all_0_13_13, xm) = v0 & sdtpldt0(xp, all_0_13_13) = v2 & sdtpldt0(xm, all_0_13_13) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_0_12_12))
% 171.56/144.12 |
% 171.56/144.12 | Instantiating formula (114) with all_0_12_12, all_0_13_13, xp, xn and discharging atoms sdtpldt0(all_0_13_13, xp) = all_0_12_12, sdtlseqdt0(xn, xp), aNaturalNumber0(all_0_13_13), aNaturalNumber0(xp), aNaturalNumber0(xn), yields:
% 171.56/144.12 | (676) xp = xn | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_0_12_12) & sdtpldt0(all_0_13_13, xn) = v0 & sdtpldt0(xp, all_0_13_13) = v2 & sdtpldt0(xn, all_0_13_13) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_0_12_12))
% 171.56/144.12 |
% 171.56/144.12 | Instantiating formula (114) with all_0_12_12, all_0_13_13, xp, sz10 and discharging atoms sdtpldt0(all_0_13_13, xp) = all_0_12_12, sdtlseqdt0(sz10, xp), aNaturalNumber0(all_0_13_13), aNaturalNumber0(xp), aNaturalNumber0(sz10), yields:
% 171.56/144.12 | (677) xp = sz10 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_0_12_12) & sdtpldt0(all_0_13_13, sz10) = v0 & sdtpldt0(xp, all_0_13_13) = v2 & sdtpldt0(sz10, all_0_13_13) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_0_12_12))
% 171.56/144.12 |
% 171.56/144.12 | Instantiating formula (47) with all_0_12_12, all_0_13_13, xp and discharging atoms sdtpldt0(all_0_13_13, xp) = all_0_12_12, aNaturalNumber0(all_0_13_13), aNaturalNumber0(xp), yields:
% 171.56/144.12 | (678) sdtpldt0(xp, all_0_13_13) = all_0_12_12
% 171.56/144.12 |
% 171.56/144.12 | Instantiating formula (112) with all_0_16_16, all_0_16_16, all_0_5_5, all_0_14_14, xr and discharging atoms sdtasdt0(all_0_5_5, xr) = all_0_16_16, sdtasdt0(xr, all_0_14_14) = all_0_16_16, aNaturalNumber0(all_0_5_5), aNaturalNumber0(all_0_14_14), aNaturalNumber0(xr), yields:
% 171.56/144.12 | (679) all_0_5_5 = all_0_14_14 | xr = sz00 | ? [v0] : ? [v1] : ( ~ (v1 = all_0_16_16) & ~ (v0 = all_0_16_16) & sdtasdt0(all_0_14_14, xr) = v1 & sdtasdt0(xr, all_0_5_5) = v0)
% 171.56/144.12 |
% 171.56/144.12 | Instantiating formula (18) with all_0_16_16, all_0_16_16, all_0_14_14, all_0_5_5, xr and discharging atoms sdtasdt0(xr, all_0_5_5) = all_0_16_16, sdtasdt0(xr, all_0_14_14) = all_0_16_16, aNaturalNumber0(all_0_5_5), aNaturalNumber0(all_0_14_14), aNaturalNumber0(xr), yields:
% 171.56/144.12 | (680) all_0_5_5 = all_0_14_14 | xr = sz00 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(all_0_5_5, xr) = v0 & sdtasdt0(all_0_14_14, xr) = v1)
% 171.56/144.12 |
% 171.56/144.12 | Instantiating formula (161) with all_0_12_12, all_0_17_17, all_0_13_13, all_0_18_18, xp and discharging atoms sdtpldt0(all_0_13_13, xp) = all_0_12_12, sdtpldt0(all_0_18_18, xp) = all_0_17_17, aNaturalNumber0(all_0_13_13), aNaturalNumber0(all_0_18_18), aNaturalNumber0(xp), yields:
% 171.56/144.12 | (681) all_0_13_13 = all_0_18_18 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xp, all_0_13_13) = v1 & sdtpldt0(xp, all_0_18_18) = v0)
% 171.56/144.12 |
% 171.56/144.12 | Instantiating formula (78) with all_0_12_12, xp, all_0_18_18, all_0_13_13 and discharging atoms sdtpldt0(all_0_13_13, xp) = all_0_12_12, sdtlseqdt0(all_0_13_13, all_0_18_18), aNaturalNumber0(all_0_13_13), aNaturalNumber0(all_0_18_18), aNaturalNumber0(xp), yields:
% 171.56/144.12 | (682) all_0_13_13 = all_0_18_18 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_0_12_12) & ~ (v1 = v0) & sdtpldt0(all_0_18_18, xp) = v2 & sdtpldt0(xp, all_0_13_13) = v0 & sdtpldt0(xp, all_0_18_18) = v1 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_0_12_12, v2))
% 171.56/144.12 |
% 171.56/144.12 | Instantiating formula (161) with all_0_17_17, all_0_12_12, all_0_18_18, all_0_13_13, xp and discharging atoms sdtpldt0(all_0_13_13, xp) = all_0_12_12, sdtpldt0(all_0_18_18, xp) = all_0_17_17, aNaturalNumber0(all_0_13_13), aNaturalNumber0(all_0_18_18), aNaturalNumber0(xp), yields:
% 171.56/144.12 | (683) all_0_13_13 = all_0_18_18 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xp, all_0_13_13) = v0 & sdtpldt0(xp, all_0_18_18) = v1)
% 171.56/144.12 |
% 171.56/144.12 | Instantiating formula (114) with all_0_17_17, all_0_18_18, xp, xk and discharging atoms sdtpldt0(all_0_18_18, xp) = all_0_17_17, sdtlseqdt0(xk, xp), aNaturalNumber0(all_0_18_18), aNaturalNumber0(xk), aNaturalNumber0(xp), yields:
% 171.56/144.12 | (684) xk = xp | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_0_17_17) & sdtpldt0(all_0_18_18, xk) = v0 & sdtpldt0(xk, all_0_18_18) = v1 & sdtpldt0(xp, all_0_18_18) = v2 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_0_17_17))
% 171.56/144.12 |
% 171.56/144.12 | Instantiating formula (114) with all_0_17_17, all_0_18_18, xp, xm and discharging atoms sdtpldt0(all_0_18_18, xp) = all_0_17_17, sdtlseqdt0(xm, xp), aNaturalNumber0(all_0_18_18), aNaturalNumber0(xp), aNaturalNumber0(xm), yields:
% 171.56/144.12 | (685) xp = xm | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_0_17_17) & sdtpldt0(all_0_18_18, xm) = v0 & sdtpldt0(xp, all_0_18_18) = v2 & sdtpldt0(xm, all_0_18_18) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_0_17_17))
% 171.56/144.12 |
% 171.56/144.12 | Instantiating formula (114) with all_0_17_17, all_0_18_18, xp, xn and discharging atoms sdtpldt0(all_0_18_18, xp) = all_0_17_17, sdtlseqdt0(xn, xp), aNaturalNumber0(all_0_18_18), aNaturalNumber0(xp), aNaturalNumber0(xn), yields:
% 171.56/144.13 | (686) xp = xn | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_0_17_17) & sdtpldt0(all_0_18_18, xn) = v0 & sdtpldt0(xp, all_0_18_18) = v2 & sdtpldt0(xn, all_0_18_18) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_0_17_17))
% 171.56/144.13 |
% 171.56/144.13 | Instantiating formula (35) with all_0_17_17, xp, all_0_18_18, all_0_13_13 and discharging atoms sdtpldt0(all_0_18_18, xp) = all_0_17_17, sdtlseqdt0(all_0_13_13, all_0_18_18), aNaturalNumber0(all_0_13_13), aNaturalNumber0(all_0_18_18), aNaturalNumber0(xp), yields:
% 171.56/144.13 | (687) all_0_13_13 = all_0_18_18 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_0_17_17) & ~ (v1 = v0) & sdtpldt0(all_0_13_13, xp) = v2 & sdtpldt0(xp, all_0_13_13) = v0 & sdtpldt0(xp, all_0_18_18) = v1 & sdtlseqdt0(v2, all_0_17_17) & sdtlseqdt0(v0, v1))
% 171.56/144.13 |
% 171.56/144.13 | Instantiating formula (114) with all_0_17_17, all_0_18_18, xp, sz10 and discharging atoms sdtpldt0(all_0_18_18, xp) = all_0_17_17, sdtlseqdt0(sz10, xp), aNaturalNumber0(all_0_18_18), aNaturalNumber0(xp), aNaturalNumber0(sz10), yields:
% 171.56/144.13 | (688) xp = sz10 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_0_17_17) & sdtpldt0(all_0_18_18, sz10) = v0 & sdtpldt0(xp, all_0_18_18) = v2 & sdtpldt0(sz10, all_0_18_18) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_0_17_17))
% 171.56/144.13 |
% 171.56/144.13 | Instantiating formula (47) with all_0_17_17, all_0_18_18, xp and discharging atoms sdtpldt0(all_0_18_18, xp) = all_0_17_17, aNaturalNumber0(all_0_18_18), aNaturalNumber0(xp), yields:
% 171.56/144.13 | (689) sdtpldt0(xp, all_0_18_18) = all_0_17_17
% 171.56/144.13 |
% 171.56/144.13 +-Applying beta-rule and splitting (633), into two cases.
% 171.56/144.13 |-Branch one:
% 171.56/144.13 | (315) xk = sz00
% 171.56/144.13 |
% 171.56/144.13 | Equations (315) can reduce 58 to:
% 171.56/144.13 | (316) $false
% 171.56/144.13 |
% 171.56/144.13 |-The branch is then unsatisfiable
% 171.56/144.13 |-Branch two:
% 171.56/144.13 | (58) ~ (xk = sz00)
% 171.56/144.13 | (693) xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xk, xp) = v1 & sdtasdt0(xk, xn) = v0)
% 171.56/144.13 |
% 171.56/144.13 +-Applying beta-rule and splitting (634), into two cases.
% 171.56/144.13 |-Branch one:
% 171.56/144.13 | (315) xk = sz00
% 171.56/144.13 |
% 171.56/144.13 | Equations (315) can reduce 58 to:
% 171.56/144.13 | (316) $false
% 171.56/144.13 |
% 171.56/144.13 |-The branch is then unsatisfiable
% 171.56/144.13 |-Branch two:
% 171.56/144.13 | (58) ~ (xk = sz00)
% 171.56/144.13 | (697) xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xk, xp) = v0 & sdtasdt0(xk, xn) = v1)
% 171.56/144.13 |
% 171.56/144.13 +-Applying beta-rule and splitting (697), into two cases.
% 171.56/144.13 |-Branch one:
% 171.56/144.13 | (343) xp = xn
% 171.56/144.13 |
% 171.56/144.13 | Equations (343) can reduce 157 to:
% 171.56/144.13 | (316) $false
% 171.56/144.13 |
% 171.56/144.13 |-The branch is then unsatisfiable
% 171.56/144.13 |-Branch two:
% 171.56/144.13 | (157) ~ (xp = xn)
% 171.56/144.13 | (701) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xk, xp) = v0 & sdtasdt0(xk, xn) = v1)
% 171.56/144.13 |
% 171.56/144.13 +-Applying beta-rule and splitting (683), into two cases.
% 171.56/144.13 |-Branch one:
% 171.56/144.13 | (702) all_0_13_13 = all_0_18_18
% 171.56/144.13 |
% 171.56/144.13 | Equations (702) can reduce 575 to:
% 171.56/144.13 | (316) $false
% 171.56/144.13 |
% 171.56/144.13 |-The branch is then unsatisfiable
% 171.56/144.13 |-Branch two:
% 171.56/144.13 | (575) ~ (all_0_13_13 = all_0_18_18)
% 171.56/144.13 | (705) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xp, all_0_13_13) = v0 & sdtpldt0(xp, all_0_18_18) = v1)
% 171.56/144.13 |
% 171.56/144.13 | Instantiating (705) with all_758_0_699, all_758_1_700 yields:
% 171.56/144.13 | (706) ~ (all_758_0_699 = all_758_1_700) & sdtpldt0(xp, all_0_13_13) = all_758_1_700 & sdtpldt0(xp, all_0_18_18) = all_758_0_699
% 171.56/144.13 |
% 171.56/144.13 | Applying alpha-rule on (706) yields:
% 171.56/144.13 | (707) ~ (all_758_0_699 = all_758_1_700)
% 171.56/144.13 | (708) sdtpldt0(xp, all_0_13_13) = all_758_1_700
% 171.56/144.13 | (709) sdtpldt0(xp, all_0_18_18) = all_758_0_699
% 171.56/144.13 |
% 171.56/144.13 +-Applying beta-rule and splitting (682), into two cases.
% 171.56/144.13 |-Branch one:
% 171.56/144.13 | (702) all_0_13_13 = all_0_18_18
% 171.56/144.13 |
% 171.56/144.13 | Equations (702) can reduce 575 to:
% 171.56/144.13 | (316) $false
% 171.56/144.13 |
% 171.56/144.13 |-The branch is then unsatisfiable
% 171.56/144.13 |-Branch two:
% 171.56/144.13 | (575) ~ (all_0_13_13 = all_0_18_18)
% 171.56/144.13 | (713) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_0_12_12) & ~ (v1 = v0) & sdtpldt0(all_0_18_18, xp) = v2 & sdtpldt0(xp, all_0_13_13) = v0 & sdtpldt0(xp, all_0_18_18) = v1 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_0_12_12, v2))
% 171.56/144.13 |
% 171.56/144.13 | Instantiating (713) with all_768_0_701, all_768_1_702, all_768_2_703 yields:
% 171.56/144.13 | (714) ~ (all_768_0_701 = all_0_12_12) & ~ (all_768_1_702 = all_768_2_703) & sdtpldt0(all_0_18_18, xp) = all_768_0_701 & sdtpldt0(xp, all_0_13_13) = all_768_2_703 & sdtpldt0(xp, all_0_18_18) = all_768_1_702 & sdtlseqdt0(all_768_2_703, all_768_1_702) & sdtlseqdt0(all_0_12_12, all_768_0_701)
% 171.56/144.13 |
% 171.56/144.13 | Applying alpha-rule on (714) yields:
% 171.56/144.13 | (715) ~ (all_768_1_702 = all_768_2_703)
% 171.56/144.13 | (716) ~ (all_768_0_701 = all_0_12_12)
% 171.56/144.13 | (717) sdtlseqdt0(all_0_12_12, all_768_0_701)
% 171.56/144.13 | (718) sdtpldt0(xp, all_0_18_18) = all_768_1_702
% 171.56/144.13 | (719) sdtlseqdt0(all_768_2_703, all_768_1_702)
% 171.56/144.13 | (720) sdtpldt0(xp, all_0_13_13) = all_768_2_703
% 171.56/144.13 | (721) sdtpldt0(all_0_18_18, xp) = all_768_0_701
% 171.56/144.13 |
% 171.56/144.13 +-Applying beta-rule and splitting (680), into two cases.
% 171.56/144.13 |-Branch one:
% 171.56/144.13 | (375) xr = sz00
% 171.56/144.13 |
% 171.56/144.13 | Equations (375) can reduce 151 to:
% 171.56/144.13 | (316) $false
% 171.56/144.13 |
% 171.56/144.13 |-The branch is then unsatisfiable
% 171.56/144.13 |-Branch two:
% 171.56/144.13 | (151) ~ (xr = sz00)
% 171.56/144.13 | (725) all_0_5_5 = all_0_14_14 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(all_0_5_5, xr) = v0 & sdtasdt0(all_0_14_14, xr) = v1)
% 171.56/144.13 |
% 171.56/144.13 +-Applying beta-rule and splitting (657), into two cases.
% 171.56/144.13 |-Branch one:
% 171.56/144.13 | (331) xp = xm
% 171.56/144.13 |
% 171.56/144.13 | Equations (331) can reduce 104 to:
% 171.56/144.13 | (316) $false
% 171.56/144.13 |
% 171.56/144.13 |-The branch is then unsatisfiable
% 171.56/144.13 |-Branch two:
% 171.56/144.13 | (104) ~ (xp = xm)
% 171.56/144.13 | (729) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_31_0_50) & sdtpldt0(xp, xm) = v2 & sdtpldt0(xm, xm) = v1 & sdtpldt0(xm, xm) = v0 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_31_0_50))
% 171.56/144.13 |
% 171.56/144.13 +-Applying beta-rule and splitting (658), into two cases.
% 171.56/144.13 |-Branch one:
% 171.56/144.13 | (331) xp = xm
% 171.56/144.13 |
% 171.56/144.13 | Equations (331) can reduce 104 to:
% 171.56/144.13 | (316) $false
% 171.56/144.13 |
% 171.56/144.13 |-The branch is then unsatisfiable
% 171.56/144.13 |-Branch two:
% 171.56/144.13 | (104) ~ (xp = xm)
% 171.56/144.13 | (733) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_31_0_50) & ~ (v1 = v0) & sdtpldt0(xp, xp) = v2 & sdtpldt0(xp, xp) = v1 & sdtpldt0(xp, xm) = v0 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_31_0_50, v2))
% 171.56/144.13 |
% 171.56/144.13 +-Applying beta-rule and splitting (663), into two cases.
% 171.56/144.13 |-Branch one:
% 171.56/144.13 | (494) xp = sz10
% 171.56/144.13 |
% 171.56/144.13 | Equations (494) can reduce 31 to:
% 171.56/144.13 | (316) $false
% 171.56/144.13 |
% 171.56/144.13 |-The branch is then unsatisfiable
% 171.56/144.13 |-Branch two:
% 171.56/144.13 | (31) ~ (xp = sz10)
% 171.56/144.13 | (737) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_125_1_111) & sdtpldt0(all_0_2_2, sz10) = v0 & sdtpldt0(xp, all_0_2_2) = v2 & sdtpldt0(sz10, all_0_2_2) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_125_1_111))
% 171.56/144.13 |
% 171.56/144.13 +-Applying beta-rule and splitting (664), into two cases.
% 171.56/144.13 |-Branch one:
% 171.56/144.13 | (494) xp = sz10
% 171.56/144.13 |
% 171.56/144.13 | Equations (494) can reduce 31 to:
% 171.56/144.13 | (316) $false
% 171.56/144.13 |
% 171.56/144.13 |-The branch is then unsatisfiable
% 171.56/144.13 |-Branch two:
% 171.56/144.13 | (31) ~ (xp = sz10)
% 171.56/144.13 | (741) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_130_1_114) & sdtpldt0(all_0_6_6, sz10) = v0 & sdtpldt0(xp, all_0_6_6) = v2 & sdtpldt0(sz10, all_0_6_6) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_130_1_114))
% 171.56/144.13 |
% 171.56/144.13 +-Applying beta-rule and splitting (665), into two cases.
% 171.56/144.13 |-Branch one:
% 171.56/144.13 | (494) xp = sz10
% 171.56/144.13 |
% 171.56/144.13 | Equations (494) can reduce 31 to:
% 171.56/144.13 | (316) $false
% 171.56/144.13 |
% 171.56/144.13 |-The branch is then unsatisfiable
% 171.56/144.13 |-Branch two:
% 171.56/144.13 | (31) ~ (xp = sz10)
% 171.56/144.13 | (745) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_120_2_109) & sdtpldt0(all_0_15_15, sz10) = v0 & sdtpldt0(xp, all_0_15_15) = v2 & sdtpldt0(sz10, all_0_15_15) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_120_2_109))
% 171.56/144.13 |
% 171.56/144.13 +-Applying beta-rule and splitting (666), into two cases.
% 171.56/144.13 |-Branch one:
% 171.56/144.13 | (494) xp = sz10
% 171.56/144.13 |
% 171.56/144.13 | Equations (494) can reduce 31 to:
% 171.56/144.13 | (316) $false
% 171.56/144.13 |
% 171.56/144.13 |-The branch is then unsatisfiable
% 171.56/144.13 |-Branch two:
% 171.56/144.13 | (31) ~ (xp = sz10)
% 171.56/144.13 | (749) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_115_0_104) & ~ (v1 = v0) & sdtpldt0(all_0_1_1, xp) = v1 & sdtpldt0(all_0_1_1, sz10) = v0 & sdtpldt0(sz10, all_0_1_1) = v2 & sdtlseqdt0(v2, all_115_0_104) & sdtlseqdt0(v0, v1))
% 171.56/144.13 |
% 171.56/144.13 +-Applying beta-rule and splitting (669), into two cases.
% 171.56/144.13 |-Branch one:
% 171.56/144.13 | (494) xp = sz10
% 171.56/144.13 |
% 171.56/144.13 | Equations (494) can reduce 31 to:
% 171.56/144.13 | (316) $false
% 171.56/144.13 |
% 171.56/144.13 |-The branch is then unsatisfiable
% 171.56/144.13 |-Branch two:
% 171.56/144.13 | (31) ~ (xp = sz10)
% 171.56/144.13 | (753) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_120_0_107) & ~ (v1 = v0) & sdtpldt0(all_0_15_15, xp) = v1 & sdtpldt0(all_0_15_15, sz10) = v0 & sdtpldt0(sz10, all_0_15_15) = v2 & sdtlseqdt0(v2, all_120_0_107) & sdtlseqdt0(v0, v1))
% 171.56/144.13 |
% 171.56/144.13 +-Applying beta-rule and splitting (667), into two cases.
% 171.56/144.13 |-Branch one:
% 171.56/144.13 | (494) xp = sz10
% 171.56/144.13 |
% 171.56/144.13 | Equations (494) can reduce 31 to:
% 171.56/144.13 | (316) $false
% 171.56/144.13 |
% 171.56/144.13 |-The branch is then unsatisfiable
% 171.56/144.13 |-Branch two:
% 171.56/144.14 | (31) ~ (xp = sz10)
% 171.56/144.14 | (757) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_125_0_110) & ~ (v1 = v0) & sdtpldt0(all_0_2_2, xp) = v1 & sdtpldt0(all_0_2_2, sz10) = v0 & sdtpldt0(sz10, all_0_2_2) = v2 & sdtlseqdt0(v2, all_125_0_110) & sdtlseqdt0(v0, v1))
% 171.56/144.14 |
% 171.56/144.14 +-Applying beta-rule and splitting (668), into two cases.
% 171.56/144.14 |-Branch one:
% 171.56/144.14 | (494) xp = sz10
% 171.56/144.14 |
% 171.56/144.14 | Equations (494) can reduce 31 to:
% 171.56/144.14 | (316) $false
% 171.56/144.14 |
% 171.56/144.14 |-The branch is then unsatisfiable
% 171.56/144.14 |-Branch two:
% 171.56/144.14 | (31) ~ (xp = sz10)
% 171.56/144.14 | (761) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_130_0_113) & ~ (v1 = v0) & sdtpldt0(all_0_6_6, xp) = v1 & sdtpldt0(all_0_6_6, sz10) = v0 & sdtpldt0(sz10, all_0_6_6) = v2 & sdtlseqdt0(v2, all_130_0_113) & sdtlseqdt0(v0, v1))
% 171.56/144.14 |
% 171.56/144.14 +-Applying beta-rule and splitting (670), into two cases.
% 171.56/144.14 |-Branch one:
% 171.56/144.14 | (494) xp = sz10
% 171.56/144.14 |
% 171.56/144.14 | Equations (494) can reduce 31 to:
% 171.56/144.14 | (316) $false
% 171.56/144.14 |
% 171.56/144.14 |-The branch is then unsatisfiable
% 171.56/144.14 |-Branch two:
% 171.56/144.14 | (31) ~ (xp = sz10)
% 171.56/144.14 | (765) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_93_0_95) & ~ (v1 = v0) & sdtpldt0(xm, xp) = v1 & sdtpldt0(xm, sz10) = v0 & sdtpldt0(sz10, xm) = v2 & sdtlseqdt0(v2, all_93_0_95) & sdtlseqdt0(v0, v1))
% 171.56/144.14 |
% 171.56/144.14 +-Applying beta-rule and splitting (679), into two cases.
% 171.56/144.14 |-Branch one:
% 171.56/144.14 | (375) xr = sz00
% 171.56/144.14 |
% 171.56/144.14 | Equations (375) can reduce 151 to:
% 171.56/144.14 | (316) $false
% 171.56/144.14 |
% 171.56/144.14 |-The branch is then unsatisfiable
% 171.56/144.14 |-Branch two:
% 171.56/144.14 | (151) ~ (xr = sz00)
% 171.56/144.14 | (769) all_0_5_5 = all_0_14_14 | ? [v0] : ? [v1] : ( ~ (v1 = all_0_16_16) & ~ (v0 = all_0_16_16) & sdtasdt0(all_0_14_14, xr) = v1 & sdtasdt0(xr, all_0_5_5) = v0)
% 171.56/144.14 |
% 171.56/144.14 +-Applying beta-rule and splitting (638), into two cases.
% 171.56/144.14 |-Branch one:
% 171.56/144.14 | (331) xp = xm
% 171.56/144.14 |
% 171.56/144.14 | Equations (331) can reduce 104 to:
% 171.56/144.14 | (316) $false
% 171.56/144.14 |
% 171.56/144.14 |-The branch is then unsatisfiable
% 171.56/144.14 |-Branch two:
% 171.56/144.14 | (104) ~ (xp = xm)
% 171.56/144.14 | (773) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_115_1_105) & sdtpldt0(all_0_1_1, xm) = v0 & sdtpldt0(xp, all_0_1_1) = v2 & sdtpldt0(xm, all_0_1_1) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_115_1_105))
% 171.56/144.14 |
% 171.56/144.14 +-Applying beta-rule and splitting (632), into two cases.
% 171.56/144.14 |-Branch one:
% 171.56/144.14 | (315) xk = sz00
% 171.56/144.14 |
% 171.56/144.14 | Equations (315) can reduce 58 to:
% 171.56/144.14 | (316) $false
% 171.56/144.14 |
% 171.56/144.14 |-The branch is then unsatisfiable
% 171.56/144.14 |-Branch two:
% 171.56/144.14 | (58) ~ (xk = sz00)
% 171.56/144.14 | (777) xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xk, xp) = v1 & sdtasdt0(xk, xn) = v0 & sdtlseqdt0(v0, v1))
% 171.56/144.14 |
% 171.56/144.14 +-Applying beta-rule and splitting (661), into two cases.
% 171.56/144.14 |-Branch one:
% 171.56/144.14 | (343) xp = xn
% 171.56/144.14 |
% 171.56/144.14 | Equations (343) can reduce 157 to:
% 171.56/144.14 | (316) $false
% 171.56/144.14 |
% 171.56/144.14 |-The branch is then unsatisfiable
% 171.56/144.14 |-Branch two:
% 171.56/144.14 | (157) ~ (xp = xn)
% 171.56/144.14 | (781) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_88_2_94) & ~ (v1 = v0) & sdtpldt0(xp, xp) = v2 & sdtpldt0(xp, xp) = v1 & sdtpldt0(xp, xn) = v0 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_88_2_94, v2))
% 171.56/144.14 |
% 171.56/144.14 +-Applying beta-rule and splitting (777), into two cases.
% 171.56/144.14 |-Branch one:
% 171.56/144.14 | (343) xp = xn
% 171.56/144.14 |
% 171.56/144.14 | Equations (343) can reduce 157 to:
% 171.56/144.14 | (316) $false
% 171.56/144.14 |
% 171.56/144.14 |-The branch is then unsatisfiable
% 171.56/144.14 |-Branch two:
% 171.56/144.14 | (157) ~ (xp = xn)
% 171.56/144.14 | (785) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xk, xp) = v1 & sdtasdt0(xk, xn) = v0 & sdtlseqdt0(v0, v1))
% 171.56/144.14 |
% 171.56/144.14 +-Applying beta-rule and splitting (674), into two cases.
% 171.56/144.14 |-Branch one:
% 171.56/144.14 | (418) xk = xp
% 171.56/144.14 |
% 171.56/144.14 | Equations (418) can reduce 99 to:
% 171.56/144.14 | (316) $false
% 171.56/144.14 |
% 171.56/144.14 |-The branch is then unsatisfiable
% 171.56/144.14 |-Branch two:
% 171.56/144.14 | (99) ~ (xk = xp)
% 171.56/144.14 | (789) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_0_12_12) & sdtpldt0(all_0_13_13, xk) = v0 & sdtpldt0(xk, all_0_13_13) = v1 & sdtpldt0(xp, all_0_13_13) = v2 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_0_12_12))
% 171.56/144.14 |
% 171.56/144.14 | Instantiating (789) with all_883_0_743, all_883_1_744, all_883_2_745 yields:
% 171.56/144.14 | (790) ~ (all_883_0_743 = all_883_1_744) & ~ (all_883_2_745 = all_0_12_12) & sdtpldt0(all_0_13_13, xk) = all_883_2_745 & sdtpldt0(xk, all_0_13_13) = all_883_1_744 & sdtpldt0(xp, all_0_13_13) = all_883_0_743 & sdtlseqdt0(all_883_1_744, all_883_0_743) & sdtlseqdt0(all_883_2_745, all_0_12_12)
% 171.56/144.14 |
% 171.56/144.14 | Applying alpha-rule on (790) yields:
% 171.56/144.14 | (791) sdtpldt0(xk, all_0_13_13) = all_883_1_744
% 171.56/144.14 | (792) ~ (all_883_0_743 = all_883_1_744)
% 171.56/144.14 | (793) sdtpldt0(all_0_13_13, xk) = all_883_2_745
% 171.56/144.14 | (794) sdtpldt0(xp, all_0_13_13) = all_883_0_743
% 171.56/144.14 | (795) sdtlseqdt0(all_883_1_744, all_883_0_743)
% 171.56/144.14 | (796) sdtlseqdt0(all_883_2_745, all_0_12_12)
% 171.56/144.14 | (797) ~ (all_883_2_745 = all_0_12_12)
% 171.56/144.14 |
% 171.56/144.14 +-Applying beta-rule and splitting (646), into two cases.
% 171.56/144.14 |-Branch one:
% 171.56/144.14 | (418) xk = xp
% 171.56/144.14 |
% 171.56/144.14 | Equations (418) can reduce 99 to:
% 171.56/144.14 | (316) $false
% 171.56/144.14 |
% 171.56/144.14 |-The branch is then unsatisfiable
% 171.56/144.14 |-Branch two:
% 171.56/144.14 | (99) ~ (xk = xp)
% 171.56/144.14 | (801) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_125_0_110) & ~ (v1 = v0) & sdtpldt0(all_0_2_2, xk) = v0 & sdtpldt0(all_0_2_2, xp) = v1 & sdtpldt0(xk, all_0_2_2) = v2 & sdtlseqdt0(v2, all_125_0_110) & sdtlseqdt0(v0, v1))
% 171.56/144.14 |
% 171.56/144.14 +-Applying beta-rule and splitting (640), into two cases.
% 171.56/144.14 |-Branch one:
% 171.56/144.14 | (343) xp = xn
% 171.56/144.14 |
% 171.56/144.14 | Equations (343) can reduce 157 to:
% 171.56/144.14 | (316) $false
% 171.56/144.14 |
% 171.56/144.14 |-The branch is then unsatisfiable
% 171.56/144.14 |-Branch two:
% 171.56/144.14 | (157) ~ (xp = xn)
% 171.56/144.14 | (805) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_125_1_111) & sdtpldt0(all_0_2_2, xn) = v0 & sdtpldt0(xp, all_0_2_2) = v2 & sdtpldt0(xn, all_0_2_2) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_125_1_111))
% 171.56/144.14 |
% 171.56/144.14 +-Applying beta-rule and splitting (654), into two cases.
% 171.56/144.14 |-Branch one:
% 171.56/144.14 | (343) xp = xn
% 171.56/144.14 |
% 171.56/144.14 | Equations (343) can reduce 157 to:
% 171.56/144.14 | (316) $false
% 171.56/144.14 |
% 171.56/144.14 |-The branch is then unsatisfiable
% 171.56/144.14 |-Branch two:
% 171.56/144.14 | (157) ~ (xp = xn)
% 171.56/144.14 | (809) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_88_0_92) & sdtpldt0(xp, xp) = v2 & sdtpldt0(xp, xp) = v0 & sdtpldt0(xn, xp) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_88_0_92, v0))
% 171.56/144.14 |
% 171.56/144.14 +-Applying beta-rule and splitting (687), into two cases.
% 171.56/144.14 |-Branch one:
% 171.56/144.14 | (702) all_0_13_13 = all_0_18_18
% 171.56/144.14 |
% 171.56/144.14 | Equations (702) can reduce 575 to:
% 171.56/144.14 | (316) $false
% 171.56/144.14 |
% 171.56/144.14 |-The branch is then unsatisfiable
% 171.56/144.14 |-Branch two:
% 171.56/144.14 | (575) ~ (all_0_13_13 = all_0_18_18)
% 171.56/144.14 | (813) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_0_17_17) & ~ (v1 = v0) & sdtpldt0(all_0_13_13, xp) = v2 & sdtpldt0(xp, all_0_13_13) = v0 & sdtpldt0(xp, all_0_18_18) = v1 & sdtlseqdt0(v2, all_0_17_17) & sdtlseqdt0(v0, v1))
% 171.56/144.14 |
% 171.56/144.14 | Instantiating (813) with all_956_0_760, all_956_1_761, all_956_2_762 yields:
% 171.56/144.14 | (814) ~ (all_956_0_760 = all_0_17_17) & ~ (all_956_1_761 = all_956_2_762) & sdtpldt0(all_0_13_13, xp) = all_956_0_760 & sdtpldt0(xp, all_0_13_13) = all_956_2_762 & sdtpldt0(xp, all_0_18_18) = all_956_1_761 & sdtlseqdt0(all_956_0_760, all_0_17_17) & sdtlseqdt0(all_956_2_762, all_956_1_761)
% 171.56/144.14 |
% 171.56/144.14 | Applying alpha-rule on (814) yields:
% 171.56/144.14 | (815) sdtlseqdt0(all_956_2_762, all_956_1_761)
% 171.56/144.14 | (816) sdtlseqdt0(all_956_0_760, all_0_17_17)
% 171.56/144.14 | (817) sdtpldt0(all_0_13_13, xp) = all_956_0_760
% 171.56/144.14 | (818) sdtpldt0(xp, all_0_13_13) = all_956_2_762
% 171.56/144.14 | (819) ~ (all_956_0_760 = all_0_17_17)
% 171.56/144.14 | (820) sdtpldt0(xp, all_0_18_18) = all_956_1_761
% 171.56/144.14 | (821) ~ (all_956_1_761 = all_956_2_762)
% 171.56/144.14 |
% 171.56/144.14 +-Applying beta-rule and splitting (688), into two cases.
% 171.56/144.14 |-Branch one:
% 171.56/144.14 | (494) xp = sz10
% 171.56/144.14 |
% 171.56/144.14 | Equations (494) can reduce 31 to:
% 171.56/144.14 | (316) $false
% 171.56/144.14 |
% 171.56/144.14 |-The branch is then unsatisfiable
% 171.56/144.14 |-Branch two:
% 171.56/144.14 | (31) ~ (xp = sz10)
% 171.56/144.14 | (825) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_0_17_17) & sdtpldt0(all_0_18_18, sz10) = v0 & sdtpldt0(xp, all_0_18_18) = v2 & sdtpldt0(sz10, all_0_18_18) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_0_17_17))
% 171.56/144.14 |
% 171.56/144.14 | Instantiating (825) with all_961_0_763, all_961_1_764, all_961_2_765 yields:
% 171.56/144.14 | (826) ~ (all_961_0_763 = all_961_1_764) & ~ (all_961_2_765 = all_0_17_17) & sdtpldt0(all_0_18_18, sz10) = all_961_2_765 & sdtpldt0(xp, all_0_18_18) = all_961_0_763 & sdtpldt0(sz10, all_0_18_18) = all_961_1_764 & sdtlseqdt0(all_961_1_764, all_961_0_763) & sdtlseqdt0(all_961_2_765, all_0_17_17)
% 171.56/144.14 |
% 171.56/144.14 | Applying alpha-rule on (826) yields:
% 171.56/144.14 | (827) ~ (all_961_0_763 = all_961_1_764)
% 171.56/144.14 | (828) sdtlseqdt0(all_961_2_765, all_0_17_17)
% 171.56/144.15 | (829) sdtpldt0(xp, all_0_18_18) = all_961_0_763
% 171.56/144.15 | (830) sdtpldt0(sz10, all_0_18_18) = all_961_1_764
% 171.56/144.15 | (831) sdtpldt0(all_0_18_18, sz10) = all_961_2_765
% 171.56/144.15 | (832) sdtlseqdt0(all_961_1_764, all_961_0_763)
% 171.56/144.15 | (833) ~ (all_961_2_765 = all_0_17_17)
% 171.56/144.15 |
% 171.56/144.15 +-Applying beta-rule and splitting (642), into two cases.
% 171.56/144.15 |-Branch one:
% 171.56/144.15 | (343) xp = xn
% 171.56/144.15 |
% 171.56/144.15 | Equations (343) can reduce 157 to:
% 171.56/144.15 | (316) $false
% 171.56/144.15 |
% 171.56/144.15 |-The branch is then unsatisfiable
% 171.56/144.15 |-Branch two:
% 171.56/144.15 | (157) ~ (xp = xn)
% 171.56/144.15 | (837) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_130_1_114) & sdtpldt0(all_0_6_6, xn) = v0 & sdtpldt0(xp, all_0_6_6) = v2 & sdtpldt0(xn, all_0_6_6) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_130_1_114))
% 171.56/144.15 |
% 171.56/144.15 +-Applying beta-rule and splitting (639), into two cases.
% 171.56/144.15 |-Branch one:
% 171.56/144.15 | (418) xk = xp
% 171.56/144.15 |
% 171.56/144.15 | Equations (418) can reduce 99 to:
% 171.56/144.15 | (316) $false
% 171.56/144.15 |
% 171.56/144.15 |-The branch is then unsatisfiable
% 171.56/144.15 |-Branch two:
% 171.56/144.15 | (99) ~ (xk = xp)
% 171.56/144.15 | (841) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_125_1_111) & sdtpldt0(all_0_2_2, xk) = v0 & sdtpldt0(xk, all_0_2_2) = v1 & sdtpldt0(xp, all_0_2_2) = v2 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_125_1_111))
% 171.56/144.15 |
% 171.56/144.15 +-Applying beta-rule and splitting (681), into two cases.
% 171.56/144.15 |-Branch one:
% 171.56/144.15 | (702) all_0_13_13 = all_0_18_18
% 171.56/144.15 |
% 171.56/144.15 | Equations (702) can reduce 575 to:
% 171.56/144.15 | (316) $false
% 171.56/144.15 |
% 171.56/144.15 |-The branch is then unsatisfiable
% 171.56/144.15 |-Branch two:
% 171.56/144.15 | (575) ~ (all_0_13_13 = all_0_18_18)
% 171.56/144.15 | (845) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xp, all_0_13_13) = v1 & sdtpldt0(xp, all_0_18_18) = v0)
% 171.56/144.15 |
% 171.56/144.15 | Instantiating (845) with all_983_0_772, all_983_1_773 yields:
% 171.56/144.15 | (846) ~ (all_983_0_772 = all_983_1_773) & sdtpldt0(xp, all_0_13_13) = all_983_0_772 & sdtpldt0(xp, all_0_18_18) = all_983_1_773
% 171.56/144.15 |
% 171.56/144.15 | Applying alpha-rule on (846) yields:
% 171.56/144.15 | (847) ~ (all_983_0_772 = all_983_1_773)
% 171.56/144.15 | (848) sdtpldt0(xp, all_0_13_13) = all_983_0_772
% 171.56/144.15 | (849) sdtpldt0(xp, all_0_18_18) = all_983_1_773
% 171.56/144.15 |
% 171.56/144.15 +-Applying beta-rule and splitting (608), into two cases.
% 171.56/144.15 |-Branch one:
% 171.56/144.15 | (315) xk = sz00
% 171.56/144.15 |
% 171.56/144.15 | Equations (315) can reduce 58 to:
% 171.56/144.15 | (316) $false
% 171.56/144.15 |
% 171.56/144.15 |-The branch is then unsatisfiable
% 171.56/144.15 |-Branch two:
% 171.56/144.15 | (58) ~ (xk = sz00)
% 171.56/144.15 | (853) xk = xp | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xk, xk) = v1 & sdtasdt0(xk, xp) = v0)
% 171.56/144.15 |
% 171.56/144.15 +-Applying beta-rule and splitting (637), into two cases.
% 171.56/144.15 |-Branch one:
% 171.56/144.15 | (418) xk = xp
% 171.56/144.15 |
% 171.56/144.15 | Equations (418) can reduce 99 to:
% 171.56/144.15 | (316) $false
% 171.56/144.15 |
% 171.56/144.15 |-The branch is then unsatisfiable
% 171.56/144.15 |-Branch two:
% 171.56/144.15 | (99) ~ (xk = xp)
% 171.56/144.15 | (857) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_115_1_105) & sdtpldt0(all_0_1_1, xk) = v0 & sdtpldt0(xk, all_0_1_1) = v1 & sdtpldt0(xp, all_0_1_1) = v2 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_115_1_105))
% 171.56/144.15 |
% 171.56/144.15 +-Applying beta-rule and splitting (672), into two cases.
% 171.56/144.15 |-Branch one:
% 171.56/144.15 | (494) xp = sz10
% 171.56/144.15 |
% 171.56/144.15 | Equations (494) can reduce 31 to:
% 171.56/144.15 | (316) $false
% 171.56/144.15 |
% 171.56/144.15 |-The branch is then unsatisfiable
% 171.56/144.15 |-Branch two:
% 171.56/144.15 | (31) ~ (xp = sz10)
% 171.56/144.15 | (861) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_31_0_50) & sdtpldt0(xp, xm) = v2 & sdtpldt0(xm, sz10) = v0 & sdtpldt0(sz10, xm) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_31_0_50))
% 171.56/144.15 |
% 171.56/144.15 +-Applying beta-rule and splitting (631), into two cases.
% 171.56/144.15 |-Branch one:
% 171.56/144.15 | (315) xk = sz00
% 171.56/144.15 |
% 171.56/144.15 | Equations (315) can reduce 58 to:
% 171.56/144.15 | (316) $false
% 171.56/144.15 |
% 171.56/144.15 |-The branch is then unsatisfiable
% 171.56/144.15 |-Branch two:
% 171.56/144.15 | (58) ~ (xk = sz00)
% 171.56/144.15 | (865) xp = xm | ? [v0] : ? [v1] : ( ~ (v1 = all_49_1_72) & ~ (v0 = all_0_16_16) & sdtasdt0(xk, xm) = v0 & sdtasdt0(xp, xk) = v1)
% 171.56/144.15 |
% 171.56/144.15 +-Applying beta-rule and splitting (673), into two cases.
% 171.56/144.15 |-Branch one:
% 171.56/144.15 | (494) xp = sz10
% 171.56/144.15 |
% 171.56/144.15 | Equations (494) can reduce 31 to:
% 171.56/144.15 | (316) $false
% 171.56/144.15 |
% 171.56/144.15 |-The branch is then unsatisfiable
% 171.56/144.15 |-Branch two:
% 171.56/144.15 | (31) ~ (xp = sz10)
% 171.56/144.15 | (869) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_88_2_94) & sdtpldt0(xp, xn) = v2 & sdtpldt0(xn, sz10) = v0 & sdtpldt0(sz10, xn) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_88_2_94))
% 171.56/144.15 |
% 171.56/144.15 +-Applying beta-rule and splitting (671), into two cases.
% 171.56/144.15 |-Branch one:
% 171.56/144.15 | (494) xp = sz10
% 171.56/144.15 |
% 171.56/144.15 | Equations (494) can reduce 31 to:
% 171.56/144.15 | (316) $false
% 171.56/144.15 |
% 171.56/144.15 |-The branch is then unsatisfiable
% 171.56/144.15 |-Branch two:
% 171.56/144.15 | (31) ~ (xp = sz10)
% 171.56/144.15 | (873) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_88_0_92) & ~ (v1 = v0) & sdtpldt0(xn, xp) = v1 & sdtpldt0(xn, sz10) = v0 & sdtpldt0(sz10, xn) = v2 & sdtlseqdt0(v2, all_88_0_92) & sdtlseqdt0(v0, v1))
% 171.56/144.15 |
% 171.56/144.15 +-Applying beta-rule and splitting (853), into two cases.
% 171.56/144.15 |-Branch one:
% 171.56/144.15 | (418) xk = xp
% 171.56/144.15 |
% 171.56/144.15 | Equations (418) can reduce 99 to:
% 171.56/144.15 | (316) $false
% 171.56/144.15 |
% 171.56/144.15 |-The branch is then unsatisfiable
% 171.56/144.15 |-Branch two:
% 171.56/144.15 | (99) ~ (xk = xp)
% 171.56/144.15 | (877) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xk, xk) = v1 & sdtasdt0(xk, xp) = v0)
% 171.56/144.15 |
% 171.56/144.15 +-Applying beta-rule and splitting (601), into two cases.
% 171.56/144.15 |-Branch one:
% 171.56/144.15 | (375) xr = sz00
% 171.56/144.15 |
% 171.56/144.15 | Equations (375) can reduce 151 to:
% 171.56/144.15 | (316) $false
% 171.56/144.15 |
% 171.56/144.15 |-The branch is then unsatisfiable
% 171.56/144.15 |-Branch two:
% 171.56/144.15 | (151) ~ (xr = sz00)
% 171.56/144.15 | (881) all_0_15_15 = xn | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(all_0_15_15, xr) = v0 & sdtasdt0(xn, xr) = v1 & sdtlseqdt0(v0, v1))
% 171.56/144.15 |
% 171.56/144.15 +-Applying beta-rule and splitting (686), into two cases.
% 171.56/144.15 |-Branch one:
% 171.56/144.15 | (343) xp = xn
% 171.56/144.15 |
% 171.56/144.15 | Equations (343) can reduce 157 to:
% 171.56/144.15 | (316) $false
% 171.56/144.15 |
% 171.56/144.15 |-The branch is then unsatisfiable
% 171.56/144.15 |-Branch two:
% 171.56/144.15 | (157) ~ (xp = xn)
% 171.56/144.15 | (885) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_0_17_17) & sdtpldt0(all_0_18_18, xn) = v0 & sdtpldt0(xp, all_0_18_18) = v2 & sdtpldt0(xn, all_0_18_18) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_0_17_17))
% 171.56/144.15 |
% 171.56/144.15 | Instantiating (885) with all_1049_0_796, all_1049_1_797, all_1049_2_798 yields:
% 171.56/144.15 | (886) ~ (all_1049_0_796 = all_1049_1_797) & ~ (all_1049_2_798 = all_0_17_17) & sdtpldt0(all_0_18_18, xn) = all_1049_2_798 & sdtpldt0(xp, all_0_18_18) = all_1049_0_796 & sdtpldt0(xn, all_0_18_18) = all_1049_1_797 & sdtlseqdt0(all_1049_1_797, all_1049_0_796) & sdtlseqdt0(all_1049_2_798, all_0_17_17)
% 171.56/144.15 |
% 171.56/144.15 | Applying alpha-rule on (886) yields:
% 171.56/144.15 | (887) ~ (all_1049_0_796 = all_1049_1_797)
% 171.56/144.15 | (888) sdtpldt0(all_0_18_18, xn) = all_1049_2_798
% 171.56/144.15 | (889) sdtpldt0(xp, all_0_18_18) = all_1049_0_796
% 171.56/144.15 | (890) sdtlseqdt0(all_1049_1_797, all_1049_0_796)
% 171.56/144.15 | (891) ~ (all_1049_2_798 = all_0_17_17)
% 171.56/144.15 | (892) sdtpldt0(xn, all_0_18_18) = all_1049_1_797
% 171.56/144.15 | (893) sdtlseqdt0(all_1049_2_798, all_0_17_17)
% 171.56/144.15 |
% 171.56/144.15 +-Applying beta-rule and splitting (607), into two cases.
% 171.56/144.15 |-Branch one:
% 171.56/144.15 | (315) xk = sz00
% 171.56/144.15 |
% 171.56/144.15 | Equations (315) can reduce 58 to:
% 171.56/144.15 | (316) $false
% 171.56/144.15 |
% 171.56/144.15 |-The branch is then unsatisfiable
% 171.56/144.15 |-Branch two:
% 171.56/144.15 | (58) ~ (xk = sz00)
% 171.56/144.15 | (897) xk = xp | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xk, xk) = v0 & sdtasdt0(xk, xp) = v1 & sdtlseqdt0(v0, v1))
% 171.56/144.15 |
% 171.56/144.15 +-Applying beta-rule and splitting (897), into two cases.
% 171.56/144.15 |-Branch one:
% 171.56/144.15 | (418) xk = xp
% 171.56/144.15 |
% 171.56/144.15 | Equations (418) can reduce 99 to:
% 171.56/144.15 | (316) $false
% 171.56/144.15 |
% 171.56/144.15 |-The branch is then unsatisfiable
% 171.56/144.15 |-Branch two:
% 171.56/144.15 | (99) ~ (xk = xp)
% 171.56/144.15 | (901) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xk, xk) = v0 & sdtasdt0(xk, xp) = v1 & sdtlseqdt0(v0, v1))
% 171.56/144.15 |
% 171.56/144.15 +-Applying beta-rule and splitting (626), into two cases.
% 171.56/144.15 |-Branch one:
% 171.56/144.15 | (375) xr = sz00
% 171.56/144.15 |
% 171.56/144.15 | Equations (375) can reduce 151 to:
% 171.56/144.15 | (316) $false
% 171.56/144.15 |
% 171.56/144.15 |-The branch is then unsatisfiable
% 171.56/144.15 |-Branch two:
% 171.56/144.15 | (151) ~ (xr = sz00)
% 171.56/144.15 | (905) ? [v0] : (sdtsldt0(v0, xr) = all_0_14_14 & sdtasdt0(xm, xn) = v0)
% 171.56/144.15 |
% 171.56/144.15 +-Applying beta-rule and splitting (653), into two cases.
% 171.56/144.15 |-Branch one:
% 171.56/144.15 | (418) xk = xp
% 171.56/144.15 |
% 171.56/144.15 | Equations (418) can reduce 99 to:
% 171.56/144.15 | (316) $false
% 171.56/144.15 |
% 171.56/144.16 |-The branch is then unsatisfiable
% 171.56/144.16 |-Branch two:
% 171.56/144.16 | (99) ~ (xk = xp)
% 171.56/144.16 | (909) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_88_0_92) & ~ (v1 = v0) & sdtpldt0(xk, xn) = v2 & sdtpldt0(xn, xk) = v0 & sdtpldt0(xn, xp) = v1 & sdtlseqdt0(v2, all_88_0_92) & sdtlseqdt0(v0, v1))
% 171.56/144.16 |
% 171.56/144.16 +-Applying beta-rule and splitting (636), into two cases.
% 171.56/144.16 |-Branch one:
% 171.56/144.16 | (315) xk = sz00
% 171.56/144.16 |
% 171.56/144.16 | Equations (315) can reduce 58 to:
% 171.56/144.16 | (316) $false
% 171.56/144.16 |
% 171.56/144.16 |-The branch is then unsatisfiable
% 171.56/144.16 |-Branch two:
% 171.56/144.16 | (58) ~ (xk = sz00)
% 171.56/144.16 | (913) xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = all_25_1_40) & ~ (v0 = all_0_16_16) & sdtasdt0(xk, xn) = v0 & sdtasdt0(xp, xk) = v1)
% 171.56/144.16 |
% 171.56/144.16 +-Applying beta-rule and splitting (635), into two cases.
% 171.56/144.16 |-Branch one:
% 171.56/144.16 | (315) xk = sz00
% 171.56/144.16 |
% 171.56/144.16 | Equations (315) can reduce 58 to:
% 171.56/144.16 | (316) $false
% 171.56/144.16 |
% 171.56/144.16 |-The branch is then unsatisfiable
% 171.56/144.16 |-Branch two:
% 171.56/144.16 | (58) ~ (xk = sz00)
% 171.56/144.16 | (917) xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = all_25_1_40) & ~ (v0 = all_0_16_16) & sdtasdt0(xk, xn) = v0 & sdtasdt0(xp, xk) = v1 & sdtlseqdt0(v0, all_0_16_16) & sdtlseqdt0(all_25_1_40, v1))
% 171.56/144.16 |
% 171.56/144.16 +-Applying beta-rule and splitting (649), into two cases.
% 171.56/144.16 |-Branch one:
% 171.56/144.16 | (343) xp = xn
% 171.56/144.16 |
% 171.56/144.16 | Equations (343) can reduce 157 to:
% 171.56/144.16 | (316) $false
% 171.56/144.16 |
% 171.56/144.16 |-The branch is then unsatisfiable
% 171.56/144.16 |-Branch two:
% 171.56/144.16 | (157) ~ (xp = xn)
% 171.56/144.16 | (921) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_130_0_113) & ~ (v1 = v0) & sdtpldt0(all_0_6_6, xp) = v1 & sdtpldt0(all_0_6_6, xn) = v0 & sdtpldt0(xn, all_0_6_6) = v2 & sdtlseqdt0(v2, all_130_0_113) & sdtlseqdt0(v0, v1))
% 171.56/144.16 |
% 171.56/144.16 +-Applying beta-rule and splitting (913), into two cases.
% 171.56/144.16 |-Branch one:
% 171.56/144.16 | (343) xp = xn
% 171.56/144.16 |
% 171.56/144.16 | Equations (343) can reduce 157 to:
% 171.56/144.16 | (316) $false
% 171.56/144.16 |
% 171.56/144.16 |-The branch is then unsatisfiable
% 171.56/144.16 |-Branch two:
% 171.56/144.16 | (157) ~ (xp = xn)
% 171.56/144.16 | (925) ? [v0] : ? [v1] : ( ~ (v1 = all_25_1_40) & ~ (v0 = all_0_16_16) & sdtasdt0(xk, xn) = v0 & sdtasdt0(xp, xk) = v1)
% 171.56/144.16 |
% 171.56/144.16 +-Applying beta-rule and splitting (630), into two cases.
% 171.56/144.16 |-Branch one:
% 171.56/144.16 | (315) xk = sz00
% 171.56/144.16 |
% 171.56/144.16 | Equations (315) can reduce 58 to:
% 171.56/144.16 | (316) $false
% 171.56/144.16 |
% 171.56/144.16 |-The branch is then unsatisfiable
% 171.56/144.16 |-Branch two:
% 171.56/144.16 | (58) ~ (xk = sz00)
% 171.56/144.16 | (929) xp = xm | ? [v0] : ? [v1] : ( ~ (v1 = all_49_1_72) & ~ (v0 = all_0_16_16) & sdtasdt0(xk, xm) = v0 & sdtasdt0(xp, xk) = v1 & sdtlseqdt0(v0, all_0_16_16) & sdtlseqdt0(all_49_1_72, v1))
% 171.56/144.16 |
% 171.56/144.16 +-Applying beta-rule and splitting (648), into two cases.
% 171.56/144.16 |-Branch one:
% 171.56/144.16 | (331) xp = xm
% 171.56/144.16 |
% 171.56/144.16 | Equations (331) can reduce 104 to:
% 171.56/144.16 | (316) $false
% 171.56/144.16 |
% 171.56/144.16 |-The branch is then unsatisfiable
% 171.56/144.16 |-Branch two:
% 171.56/144.16 | (104) ~ (xp = xm)
% 171.56/144.16 | (933) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_130_0_113) & ~ (v1 = v0) & sdtpldt0(all_0_6_6, xp) = v1 & sdtpldt0(all_0_6_6, xm) = v0 & sdtpldt0(xm, all_0_6_6) = v2 & sdtlseqdt0(v2, all_130_0_113) & sdtlseqdt0(v0, v1))
% 171.56/144.16 |
% 171.56/144.16 +-Applying beta-rule and splitting (929), into two cases.
% 171.56/144.16 |-Branch one:
% 171.56/144.16 | (331) xp = xm
% 171.56/144.16 |
% 171.56/144.16 | Equations (331) can reduce 104 to:
% 171.56/144.16 | (316) $false
% 171.56/144.16 |
% 171.56/144.16 |-The branch is then unsatisfiable
% 171.56/144.16 |-Branch two:
% 171.56/144.16 | (104) ~ (xp = xm)
% 171.56/144.16 | (937) ? [v0] : ? [v1] : ( ~ (v1 = all_49_1_72) & ~ (v0 = all_0_16_16) & sdtasdt0(xk, xm) = v0 & sdtasdt0(xp, xk) = v1 & sdtlseqdt0(v0, all_0_16_16) & sdtlseqdt0(all_49_1_72, v1))
% 171.56/144.16 |
% 171.56/144.16 +-Applying beta-rule and splitting (644), into two cases.
% 171.56/144.16 |-Branch one:
% 171.56/144.16 | (343) xp = xn
% 171.56/144.16 |
% 171.56/144.16 | Equations (343) can reduce 157 to:
% 171.56/144.16 | (316) $false
% 171.56/144.16 |
% 171.56/144.16 |-The branch is then unsatisfiable
% 171.56/144.16 |-Branch two:
% 171.56/144.16 | (157) ~ (xp = xn)
% 171.56/144.16 | (941) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_181_1_122) & sdtpldt0(all_0_10_10, xp) = v0 & sdtpldt0(xp, all_0_10_10) = v2 & sdtpldt0(xn, all_0_10_10) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_181_1_122, v0))
% 171.56/144.16 |
% 171.56/144.16 +-Applying beta-rule and splitting (603), into two cases.
% 171.56/144.16 |-Branch one:
% 171.56/144.16 | (375) xr = sz00
% 171.56/144.16 |
% 171.56/144.16 | Equations (375) can reduce 151 to:
% 171.56/144.16 | (316) $false
% 171.56/144.16 |
% 171.56/144.16 |-The branch is then unsatisfiable
% 171.56/144.16 |-Branch two:
% 171.56/144.16 | (151) ~ (xr = sz00)
% 171.56/144.16 | (945) all_0_15_15 = xn | ? [v0] : ? [v1] : ( ~ (v1 = xn) & ~ (v0 = all_110_0_103) & sdtasdt0(xr, all_0_15_15) = v0 & sdtasdt0(xn, xr) = v1)
% 171.56/144.16 |
% 171.56/144.16 +-Applying beta-rule and splitting (662), into two cases.
% 171.56/144.16 |-Branch one:
% 171.56/144.16 | (494) xp = sz10
% 171.56/144.16 |
% 171.56/144.16 | Equations (494) can reduce 31 to:
% 171.56/144.16 | (316) $false
% 171.56/144.16 |
% 171.56/144.16 |-The branch is then unsatisfiable
% 171.56/144.16 |-Branch two:
% 171.56/144.16 | (31) ~ (xp = sz10)
% 171.56/144.16 | (949) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_115_1_105) & sdtpldt0(all_0_1_1, sz10) = v0 & sdtpldt0(xp, all_0_1_1) = v2 & sdtpldt0(sz10, all_0_1_1) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_115_1_105))
% 171.56/144.16 |
% 171.56/144.16 +-Applying beta-rule and splitting (917), into two cases.
% 171.56/144.16 |-Branch one:
% 171.56/144.16 | (343) xp = xn
% 171.56/144.16 |
% 171.56/144.16 | Equations (343) can reduce 157 to:
% 171.56/144.16 | (316) $false
% 171.56/144.16 |
% 171.56/144.16 |-The branch is then unsatisfiable
% 171.56/144.16 |-Branch two:
% 171.56/144.16 | (157) ~ (xp = xn)
% 171.56/144.16 | (953) ? [v0] : ? [v1] : ( ~ (v1 = all_25_1_40) & ~ (v0 = all_0_16_16) & sdtasdt0(xk, xn) = v0 & sdtasdt0(xp, xk) = v1 & sdtlseqdt0(v0, all_0_16_16) & sdtlseqdt0(all_25_1_40, v1))
% 171.56/144.16 |
% 171.56/144.16 +-Applying beta-rule and splitting (659), into two cases.
% 171.56/144.16 |-Branch one:
% 171.56/144.16 | (343) xp = xn
% 171.56/144.16 |
% 171.56/144.16 | Equations (343) can reduce 157 to:
% 171.56/144.16 | (316) $false
% 171.56/144.16 |
% 171.56/144.16 |-The branch is then unsatisfiable
% 171.56/144.16 |-Branch two:
% 171.56/144.16 | (157) ~ (xp = xn)
% 171.56/144.16 | (957) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_181_0_121) & ~ (v1 = v0) & sdtpldt0(all_0_10_10, xp) = v1 & sdtpldt0(all_0_10_10, xn) = v0 & sdtpldt0(xp, all_0_10_10) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_181_0_121, v2))
% 171.56/144.16 |
% 171.56/144.16 +-Applying beta-rule and splitting (605), into two cases.
% 171.56/144.16 |-Branch one:
% 171.56/144.16 | (375) xr = sz00
% 171.56/144.16 |
% 171.56/144.16 | Equations (375) can reduce 151 to:
% 171.56/144.16 | (316) $false
% 171.56/144.16 |
% 171.56/144.16 |-The branch is then unsatisfiable
% 171.56/144.16 |-Branch two:
% 171.56/144.16 | (151) ~ (xr = sz00)
% 171.56/144.16 | (961) xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xp, xr) = v1 & sdtasdt0(xn, xr) = v0)
% 171.56/144.16 |
% 171.56/144.16 +-Applying beta-rule and splitting (615), into two cases.
% 171.56/144.16 |-Branch one:
% 171.56/144.16 | (315) xk = sz00
% 171.56/144.16 |
% 171.56/144.16 | Equations (315) can reduce 58 to:
% 171.56/144.16 | (316) $false
% 171.56/144.16 |
% 171.56/144.16 |-The branch is then unsatisfiable
% 171.56/144.16 |-Branch two:
% 171.56/144.16 | (58) ~ (xk = sz00)
% 171.56/144.16 | (965) xp = xm | ? [v0] : ? [v1] : ( ~ (v1 = all_0_16_16) & ~ (v0 = all_49_3_74) & sdtasdt0(xk, xp) = v0 & sdtasdt0(xm, xk) = v1 & sdtlseqdt0(v1, all_0_16_16) & sdtlseqdt0(all_49_3_74, v0))
% 171.56/144.16 |
% 171.56/144.16 +-Applying beta-rule and splitting (614), into two cases.
% 171.56/144.16 |-Branch one:
% 171.56/144.16 | (315) xk = sz00
% 171.56/144.16 |
% 171.56/144.16 | Equations (315) can reduce 58 to:
% 171.56/144.16 | (316) $false
% 171.56/144.16 |
% 171.56/144.16 |-The branch is then unsatisfiable
% 171.56/144.16 |-Branch two:
% 171.56/144.16 | (58) ~ (xk = sz00)
% 171.56/144.16 | (969) xk = xp | ? [v0] : ? [v1] : ( ~ (v1 = all_17_3_30) & ~ (v0 = all_0_16_16) & sdtasdt0(xk, xk) = v0 & sdtasdt0(xp, xk) = v1 & sdtlseqdt0(v0, all_0_16_16) & sdtlseqdt0(all_17_3_30, v1))
% 171.56/144.16 |
% 171.56/144.16 +-Applying beta-rule and splitting (969), into two cases.
% 171.56/144.16 |-Branch one:
% 171.56/144.16 | (418) xk = xp
% 171.56/144.16 |
% 171.56/144.16 | Equations (418) can reduce 99 to:
% 171.56/144.16 | (316) $false
% 171.56/144.16 |
% 171.56/144.16 |-The branch is then unsatisfiable
% 171.56/144.16 |-Branch two:
% 171.56/144.16 | (99) ~ (xk = xp)
% 171.56/144.16 | (973) ? [v0] : ? [v1] : ( ~ (v1 = all_17_3_30) & ~ (v0 = all_0_16_16) & sdtasdt0(xk, xk) = v0 & sdtasdt0(xp, xk) = v1 & sdtlseqdt0(v0, all_0_16_16) & sdtlseqdt0(all_17_3_30, v1))
% 171.56/144.16 |
% 171.56/144.16 +-Applying beta-rule and splitting (965), into two cases.
% 171.56/144.16 |-Branch one:
% 171.56/144.16 | (331) xp = xm
% 171.56/144.16 |
% 171.56/144.16 | Equations (331) can reduce 104 to:
% 171.56/144.16 | (316) $false
% 171.56/144.16 |
% 171.56/144.16 |-The branch is then unsatisfiable
% 171.56/144.16 |-Branch two:
% 171.56/144.16 | (104) ~ (xp = xm)
% 171.56/144.16 | (977) ? [v0] : ? [v1] : ( ~ (v1 = all_0_16_16) & ~ (v0 = all_49_3_74) & sdtasdt0(xk, xp) = v0 & sdtasdt0(xm, xk) = v1 & sdtlseqdt0(v1, all_0_16_16) & sdtlseqdt0(all_49_3_74, v0))
% 171.56/144.16 |
% 171.56/144.16 +-Applying beta-rule and splitting (961), into two cases.
% 171.56/144.16 |-Branch one:
% 171.56/144.16 | (343) xp = xn
% 171.56/144.16 |
% 171.56/144.16 | Equations (343) can reduce 157 to:
% 171.56/144.16 | (316) $false
% 171.56/144.16 |
% 171.56/144.16 |-The branch is then unsatisfiable
% 171.56/144.16 |-Branch two:
% 171.56/144.16 | (157) ~ (xp = xn)
% 171.56/144.16 | (981) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xp, xr) = v1 & sdtasdt0(xn, xr) = v0)
% 171.56/144.16 |
% 171.56/144.16 +-Applying beta-rule and splitting (618), into two cases.
% 171.56/144.16 |-Branch one:
% 171.56/144.16 | (315) xk = sz00
% 171.56/144.16 |
% 171.56/144.16 | Equations (315) can reduce 58 to:
% 171.56/144.16 | (316) $false
% 171.56/144.16 |
% 171.56/144.16 |-The branch is then unsatisfiable
% 171.56/144.16 |-Branch two:
% 171.56/144.16 | (58) ~ (xk = sz00)
% 171.56/144.16 | (985) xp = xm | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xp, xk) = v1 & sdtasdt0(xm, xk) = v0)
% 171.56/144.16 |
% 171.56/144.17 +-Applying beta-rule and splitting (985), into two cases.
% 171.56/144.17 |-Branch one:
% 171.56/144.17 | (331) xp = xm
% 171.56/144.17 |
% 171.56/144.17 | Equations (331) can reduce 104 to:
% 171.56/144.17 | (316) $false
% 171.56/144.17 |
% 171.56/144.17 |-The branch is then unsatisfiable
% 171.56/144.17 |-Branch two:
% 171.56/144.17 | (104) ~ (xp = xm)
% 171.56/144.17 | (989) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xp, xk) = v1 & sdtasdt0(xm, xk) = v0)
% 171.56/144.17 |
% 171.56/144.17 +-Applying beta-rule and splitting (650), into two cases.
% 171.56/144.17 |-Branch one:
% 171.56/144.17 | (343) xp = xn
% 171.56/144.17 |
% 171.56/144.17 | Equations (343) can reduce 157 to:
% 171.56/144.17 | (316) $false
% 171.56/144.17 |
% 171.56/144.17 |-The branch is then unsatisfiable
% 171.56/144.17 |-Branch two:
% 171.56/144.17 | (157) ~ (xp = xn)
% 171.56/144.17 | (993) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_120_0_107) & ~ (v1 = v0) & sdtpldt0(all_0_15_15, xp) = v1 & sdtpldt0(all_0_15_15, xn) = v0 & sdtpldt0(xn, all_0_15_15) = v2 & sdtlseqdt0(v2, all_120_0_107) & sdtlseqdt0(v0, v1))
% 171.56/144.17 |
% 171.56/144.17 +-Applying beta-rule and splitting (643), into two cases.
% 171.56/144.17 |-Branch one:
% 171.56/144.17 | (331) xp = xm
% 171.56/144.17 |
% 171.56/144.17 | Equations (331) can reduce 104 to:
% 171.56/144.17 | (316) $false
% 171.56/144.17 |
% 171.56/144.17 |-The branch is then unsatisfiable
% 171.56/144.17 |-Branch two:
% 171.56/144.17 | (104) ~ (xp = xm)
% 171.56/144.17 | (997) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_13_0_21) & sdtpldt0(all_0_10_10, xp) = v0 & sdtpldt0(xp, all_0_10_10) = v2 & sdtpldt0(xm, all_0_10_10) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_13_0_21, v0))
% 171.56/144.17 |
% 171.56/144.17 +-Applying beta-rule and splitting (602), into two cases.
% 171.56/144.17 |-Branch one:
% 171.56/144.17 | (375) xr = sz00
% 171.56/144.17 |
% 171.56/144.17 | Equations (375) can reduce 151 to:
% 171.56/144.17 | (316) $false
% 171.56/144.17 |
% 171.56/144.17 |-The branch is then unsatisfiable
% 171.56/144.17 |-Branch two:
% 171.56/144.17 | (151) ~ (xr = sz00)
% 171.56/144.17 | (1001) all_0_15_15 = xn | ? [v0] : ? [v1] : ( ~ (v1 = xn) & ~ (v0 = all_110_0_103) & sdtasdt0(xr, all_0_15_15) = v0 & sdtasdt0(xn, xr) = v1 & sdtlseqdt0(v0, all_110_0_103) & sdtlseqdt0(xn, v1))
% 171.56/144.17 |
% 171.56/144.17 +-Applying beta-rule and splitting (611), into two cases.
% 171.56/144.17 |-Branch one:
% 171.56/144.17 | (315) xk = sz00
% 171.56/144.17 |
% 171.56/144.17 | Equations (315) can reduce 58 to:
% 171.56/144.17 | (316) $false
% 171.56/144.17 |
% 171.56/144.17 |-The branch is then unsatisfiable
% 171.56/144.17 |-Branch two:
% 171.56/144.17 | (58) ~ (xk = sz00)
% 171.56/144.17 | (1005) xk = xp | ? [v0] : ? [v1] : ( ~ (v1 = all_0_16_16) & ~ (v0 = all_17_3_30) & sdtasdt0(xk, xk) = v1 & sdtasdt0(xk, xp) = v0)
% 171.56/144.17 |
% 171.56/144.17 +-Applying beta-rule and splitting (1005), into two cases.
% 171.56/144.17 |-Branch one:
% 171.56/144.17 | (418) xk = xp
% 171.56/144.17 |
% 171.56/144.17 | Equations (418) can reduce 99 to:
% 171.56/144.17 | (316) $false
% 171.56/144.17 |
% 171.56/144.17 |-The branch is then unsatisfiable
% 171.56/144.17 |-Branch two:
% 171.56/144.17 | (99) ~ (xk = xp)
% 171.56/144.17 | (1009) ? [v0] : ? [v1] : ( ~ (v1 = all_0_16_16) & ~ (v0 = all_17_3_30) & sdtasdt0(xk, xk) = v1 & sdtasdt0(xk, xp) = v0)
% 171.56/144.17 |
% 171.56/144.17 +-Applying beta-rule and splitting (652), into two cases.
% 171.56/144.17 |-Branch one:
% 171.56/144.17 | (331) xp = xm
% 171.56/144.17 |
% 171.56/144.17 | Equations (331) can reduce 104 to:
% 171.56/144.17 | (316) $false
% 171.56/144.17 |
% 171.56/144.17 |-The branch is then unsatisfiable
% 171.56/144.17 |-Branch two:
% 171.56/144.17 | (104) ~ (xp = xm)
% 171.56/144.17 | (1013) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_93_0_95) & ~ (v1 = v0) & sdtpldt0(xm, xp) = v1 & sdtpldt0(xm, xm) = v2 & sdtpldt0(xm, xm) = v0 & sdtlseqdt0(v2, all_93_0_95) & sdtlseqdt0(v0, v1))
% 171.56/144.17 |
% 171.56/144.17 +-Applying beta-rule and splitting (651), into two cases.
% 171.56/144.17 |-Branch one:
% 171.56/144.17 | (331) xp = xm
% 171.56/144.17 |
% 171.56/144.17 | Equations (331) can reduce 104 to:
% 171.56/144.17 | (316) $false
% 171.56/144.17 |
% 171.56/144.17 |-The branch is then unsatisfiable
% 171.56/144.17 |-Branch two:
% 171.56/144.17 | (104) ~ (xp = xm)
% 171.56/144.17 | (1017) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_93_0_95) & sdtpldt0(xp, xp) = v2 & sdtpldt0(xp, xp) = v0 & sdtpldt0(xm, xp) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_93_0_95, v0))
% 171.56/144.17 |
% 171.56/144.17 +-Applying beta-rule and splitting (656), into two cases.
% 171.56/144.17 |-Branch one:
% 171.56/144.17 | (418) xk = xp
% 171.56/144.17 |
% 171.56/144.17 | Equations (418) can reduce 99 to:
% 171.56/144.17 | (316) $false
% 171.56/144.17 |
% 171.56/144.17 |-The branch is then unsatisfiable
% 171.56/144.17 |-Branch two:
% 171.56/144.17 | (99) ~ (xk = xp)
% 171.56/144.17 | (1021) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_31_0_50) & sdtpldt0(xk, xm) = v1 & sdtpldt0(xp, xm) = v2 & sdtpldt0(xm, xk) = v0 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_31_0_50))
% 171.56/144.17 |
% 171.56/144.17 +-Applying beta-rule and splitting (684), into two cases.
% 171.56/144.17 |-Branch one:
% 171.56/144.17 | (418) xk = xp
% 171.56/144.17 |
% 171.56/144.17 | Equations (418) can reduce 99 to:
% 171.56/144.17 | (316) $false
% 171.56/144.17 |
% 171.56/144.17 |-The branch is then unsatisfiable
% 171.56/144.17 |-Branch two:
% 171.56/144.17 | (99) ~ (xk = xp)
% 171.56/144.17 | (1025) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_0_17_17) & sdtpldt0(all_0_18_18, xk) = v0 & sdtpldt0(xk, all_0_18_18) = v1 & sdtpldt0(xp, all_0_18_18) = v2 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_0_17_17))
% 171.56/144.17 |
% 171.56/144.17 | Instantiating (1025) with all_1322_0_869, all_1322_1_870, all_1322_2_871 yields:
% 171.56/144.17 | (1026) ~ (all_1322_0_869 = all_1322_1_870) & ~ (all_1322_2_871 = all_0_17_17) & sdtpldt0(all_0_18_18, xk) = all_1322_2_871 & sdtpldt0(xk, all_0_18_18) = all_1322_1_870 & sdtpldt0(xp, all_0_18_18) = all_1322_0_869 & sdtlseqdt0(all_1322_1_870, all_1322_0_869) & sdtlseqdt0(all_1322_2_871, all_0_17_17)
% 171.56/144.17 |
% 171.56/144.17 | Applying alpha-rule on (1026) yields:
% 171.56/144.17 | (1027) sdtpldt0(all_0_18_18, xk) = all_1322_2_871
% 171.56/144.17 | (1028) sdtpldt0(xp, all_0_18_18) = all_1322_0_869
% 171.56/144.17 | (1029) sdtlseqdt0(all_1322_1_870, all_1322_0_869)
% 171.56/144.17 | (1030) sdtpldt0(xk, all_0_18_18) = all_1322_1_870
% 171.56/144.17 | (1031) ~ (all_1322_0_869 = all_1322_1_870)
% 171.56/144.17 | (1032) ~ (all_1322_2_871 = all_0_17_17)
% 171.56/144.17 | (1033) sdtlseqdt0(all_1322_2_871, all_0_17_17)
% 171.56/144.17 |
% 171.56/144.17 +-Applying beta-rule and splitting (685), into two cases.
% 171.56/144.17 |-Branch one:
% 171.56/144.17 | (331) xp = xm
% 171.56/144.17 |
% 171.56/144.17 | Equations (331) can reduce 104 to:
% 171.56/144.17 | (316) $false
% 171.56/144.17 |
% 171.56/144.17 |-The branch is then unsatisfiable
% 171.56/144.17 |-Branch two:
% 171.56/144.17 | (104) ~ (xp = xm)
% 171.56/144.17 | (1037) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_0_17_17) & sdtpldt0(all_0_18_18, xm) = v0 & sdtpldt0(xp, all_0_18_18) = v2 & sdtpldt0(xm, all_0_18_18) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_0_17_17))
% 171.56/144.17 |
% 171.56/144.17 | Instantiating (1037) with all_1327_0_872, all_1327_1_873, all_1327_2_874 yields:
% 171.56/144.17 | (1038) ~ (all_1327_0_872 = all_1327_1_873) & ~ (all_1327_2_874 = all_0_17_17) & sdtpldt0(all_0_18_18, xm) = all_1327_2_874 & sdtpldt0(xp, all_0_18_18) = all_1327_0_872 & sdtpldt0(xm, all_0_18_18) = all_1327_1_873 & sdtlseqdt0(all_1327_1_873, all_1327_0_872) & sdtlseqdt0(all_1327_2_874, all_0_17_17)
% 171.56/144.17 |
% 171.56/144.17 | Applying alpha-rule on (1038) yields:
% 171.56/144.17 | (1039) ~ (all_1327_2_874 = all_0_17_17)
% 171.56/144.17 | (1040) sdtpldt0(xp, all_0_18_18) = all_1327_0_872
% 171.56/144.17 | (1041) sdtpldt0(xm, all_0_18_18) = all_1327_1_873
% 171.56/144.17 | (1042) sdtpldt0(all_0_18_18, xm) = all_1327_2_874
% 171.56/144.17 | (1043) ~ (all_1327_0_872 = all_1327_1_873)
% 171.56/144.17 | (1044) sdtlseqdt0(all_1327_2_874, all_0_17_17)
% 171.56/144.17 | (1045) sdtlseqdt0(all_1327_1_873, all_1327_0_872)
% 171.56/144.17 |
% 171.56/144.17 +-Applying beta-rule and splitting (622), into two cases.
% 171.56/144.17 |-Branch one:
% 171.56/144.17 | (315) xk = sz00
% 171.56/144.17 |
% 171.56/144.17 | Equations (315) can reduce 58 to:
% 171.56/144.17 | (316) $false
% 171.56/144.17 |
% 171.56/144.17 |-The branch is then unsatisfiable
% 171.56/144.17 |-Branch two:
% 171.56/144.17 | (58) ~ (xk = sz00)
% 171.56/144.17 | (1049) xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xp, xk) = v1 & sdtasdt0(xn, xk) = v0)
% 171.56/144.17 |
% 171.56/144.17 +-Applying beta-rule and splitting (1049), into two cases.
% 171.56/144.17 |-Branch one:
% 171.56/144.17 | (343) xp = xn
% 171.56/144.17 |
% 171.56/144.17 | Equations (343) can reduce 157 to:
% 171.56/144.17 | (316) $false
% 171.56/144.17 |
% 171.56/144.17 |-The branch is then unsatisfiable
% 171.56/144.17 |-Branch two:
% 171.56/144.17 | (157) ~ (xp = xn)
% 171.56/144.17 | (1053) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xp, xk) = v1 & sdtasdt0(xn, xk) = v0)
% 171.56/144.17 |
% 171.56/144.17 +-Applying beta-rule and splitting (606), into two cases.
% 171.56/144.17 |-Branch one:
% 171.56/144.17 | (375) xr = sz00
% 171.56/144.17 |
% 171.56/144.17 | Equations (375) can reduce 151 to:
% 171.56/144.17 | (316) $false
% 171.56/144.17 |
% 171.56/144.17 |-The branch is then unsatisfiable
% 171.56/144.17 |-Branch two:
% 171.56/144.17 | (151) ~ (xr = sz00)
% 171.56/144.17 | (1057) xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xp, xr) = v0 & sdtasdt0(xn, xr) = v1)
% 171.56/144.17 |
% 171.56/144.18 +-Applying beta-rule and splitting (1057), into two cases.
% 171.56/144.18 |-Branch one:
% 171.56/144.18 | (343) xp = xn
% 171.56/144.18 |
% 171.56/144.18 | Equations (343) can reduce 157 to:
% 171.56/144.18 | (316) $false
% 171.56/144.18 |
% 171.56/144.18 |-The branch is then unsatisfiable
% 171.56/144.18 |-Branch two:
% 171.56/144.18 | (157) ~ (xp = xn)
% 171.56/144.18 | (1061) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xp, xr) = v0 & sdtasdt0(xn, xr) = v1)
% 171.56/144.18 |
% 171.56/144.18 +-Applying beta-rule and splitting (610), into two cases.
% 171.56/144.18 |-Branch one:
% 171.56/144.18 | (315) xk = sz00
% 171.56/144.18 |
% 171.56/144.18 | Equations (315) can reduce 58 to:
% 171.56/144.18 | (316) $false
% 171.56/144.18 |
% 171.56/144.18 |-The branch is then unsatisfiable
% 171.56/144.18 |-Branch two:
% 171.56/144.18 | (58) ~ (xk = sz00)
% 171.56/144.18 | (1065) xk = xp | ? [v0] : ? [v1] : ( ~ (v1 = all_0_16_16) & ~ (v0 = all_17_3_30) & sdtasdt0(xk, xk) = v1 & sdtasdt0(xk, xp) = v0 & sdtlseqdt0(v1, all_0_16_16) & sdtlseqdt0(all_17_3_30, v0))
% 171.56/144.18 |
% 171.56/144.18 +-Applying beta-rule and splitting (619), into two cases.
% 171.56/144.18 |-Branch one:
% 171.56/144.18 | (315) xk = sz00
% 171.56/144.18 |
% 171.56/144.18 | Equations (315) can reduce 58 to:
% 171.56/144.18 | (316) $false
% 171.56/144.18 |
% 171.56/144.18 |-The branch is then unsatisfiable
% 171.56/144.18 |-Branch two:
% 171.56/144.18 | (58) ~ (xk = sz00)
% 171.56/144.18 | (1069) xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = all_0_16_16) & ~ (v0 = all_25_3_42) & sdtasdt0(xk, xp) = v0 & sdtasdt0(xn, xk) = v1 & sdtlseqdt0(v1, all_0_16_16) & sdtlseqdt0(all_25_3_42, v0))
% 171.56/144.18 |
% 171.56/144.18 +-Applying beta-rule and splitting (647), into two cases.
% 171.56/144.18 |-Branch one:
% 171.56/144.18 | (343) xp = xn
% 171.56/144.18 |
% 171.56/144.18 | Equations (343) can reduce 157 to:
% 171.56/144.18 | (316) $false
% 171.56/144.18 |
% 171.56/144.18 |-The branch is then unsatisfiable
% 171.56/144.18 |-Branch two:
% 171.56/144.18 | (157) ~ (xp = xn)
% 171.56/144.18 | (1073) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_125_0_110) & ~ (v1 = v0) & sdtpldt0(all_0_2_2, xp) = v1 & sdtpldt0(all_0_2_2, xn) = v0 & sdtpldt0(xn, all_0_2_2) = v2 & sdtlseqdt0(v2, all_125_0_110) & sdtlseqdt0(v0, v1))
% 171.56/144.18 |
% 171.56/144.18 +-Applying beta-rule and splitting (621), into two cases.
% 171.56/144.18 |-Branch one:
% 171.56/144.18 | (315) xk = sz00
% 171.56/144.18 |
% 171.56/144.18 | Equations (315) can reduce 58 to:
% 171.56/144.18 | (316) $false
% 171.56/144.18 |
% 171.56/144.18 |-The branch is then unsatisfiable
% 171.56/144.18 |-Branch two:
% 171.56/144.18 | (58) ~ (xk = sz00)
% 171.56/144.18 | (1077) xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xp, xk) = v1 & sdtasdt0(xn, xk) = v0 & sdtlseqdt0(v0, v1))
% 171.56/144.18 |
% 171.56/144.18 +-Applying beta-rule and splitting (620), into two cases.
% 171.56/144.18 |-Branch one:
% 171.56/144.18 | (315) xk = sz00
% 171.56/144.18 |
% 171.56/144.18 | Equations (315) can reduce 58 to:
% 171.56/144.18 | (316) $false
% 171.56/144.18 |
% 171.56/144.18 |-The branch is then unsatisfiable
% 171.56/144.18 |-Branch two:
% 171.56/144.18 | (58) ~ (xk = sz00)
% 171.56/144.18 | (1081) xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = all_0_16_16) & ~ (v0 = all_25_3_42) & sdtasdt0(xk, xp) = v0 & sdtasdt0(xn, xk) = v1)
% 171.56/144.18 |
% 171.56/144.18 +-Applying beta-rule and splitting (1077), into two cases.
% 171.56/144.18 |-Branch one:
% 171.56/144.18 | (343) xp = xn
% 171.56/144.18 |
% 171.56/144.18 | Equations (343) can reduce 157 to:
% 171.56/144.18 | (316) $false
% 171.56/144.18 |
% 171.56/144.18 |-The branch is then unsatisfiable
% 171.56/144.18 |-Branch two:
% 171.56/144.18 | (157) ~ (xp = xn)
% 171.56/144.18 | (1085) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xp, xk) = v1 & sdtasdt0(xn, xk) = v0 & sdtlseqdt0(v0, v1))
% 171.56/144.18 |
% 171.56/144.18 +-Applying beta-rule and splitting (1081), into two cases.
% 171.56/144.18 |-Branch one:
% 171.56/144.18 | (343) xp = xn
% 171.56/144.18 |
% 171.56/144.18 | Equations (343) can reduce 157 to:
% 171.56/144.18 | (316) $false
% 171.56/144.18 |
% 171.56/144.18 |-The branch is then unsatisfiable
% 171.56/144.18 |-Branch two:
% 171.56/144.18 | (157) ~ (xp = xn)
% 171.56/144.18 | (1089) ? [v0] : ? [v1] : ( ~ (v1 = all_0_16_16) & ~ (v0 = all_25_3_42) & sdtasdt0(xk, xp) = v0 & sdtasdt0(xn, xk) = v1)
% 171.56/144.18 |
% 171.56/144.18 +-Applying beta-rule and splitting (1069), into two cases.
% 171.56/144.18 |-Branch one:
% 171.56/144.18 | (343) xp = xn
% 171.56/144.18 |
% 171.56/144.18 | Equations (343) can reduce 157 to:
% 171.56/144.18 | (316) $false
% 171.56/144.18 |
% 171.56/144.18 |-The branch is then unsatisfiable
% 171.56/144.18 |-Branch two:
% 171.56/144.18 | (157) ~ (xp = xn)
% 171.56/144.18 | (1093) ? [v0] : ? [v1] : ( ~ (v1 = all_0_16_16) & ~ (v0 = all_25_3_42) & sdtasdt0(xk, xp) = v0 & sdtasdt0(xn, xk) = v1 & sdtlseqdt0(v1, all_0_16_16) & sdtlseqdt0(all_25_3_42, v0))
% 171.56/144.18 |
% 171.56/144.18 +-Applying beta-rule and splitting (609), into two cases.
% 171.56/144.18 |-Branch one:
% 171.56/144.18 | (315) xk = sz00
% 171.56/144.18 |
% 171.56/144.18 | Equations (315) can reduce 58 to:
% 171.56/144.18 | (316) $false
% 171.56/144.18 |
% 171.56/144.18 |-The branch is then unsatisfiable
% 171.56/144.18 |-Branch two:
% 171.56/144.18 | (58) ~ (xk = sz00)
% 171.56/144.18 | (1097) xk = xp | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xk, xk) = v0 & sdtasdt0(xk, xp) = v1)
% 171.56/144.18 |
% 171.56/144.18 +-Applying beta-rule and splitting (616), into two cases.
% 171.56/144.18 |-Branch one:
% 171.56/144.18 | (315) xk = sz00
% 171.56/144.18 |
% 171.56/144.18 | Equations (315) can reduce 58 to:
% 171.56/144.18 | (316) $false
% 171.56/144.18 |
% 171.56/144.18 |-The branch is then unsatisfiable
% 171.56/144.18 |-Branch two:
% 171.56/144.18 | (58) ~ (xk = sz00)
% 171.88/144.18 | (1101) xp = xm | ? [v0] : ? [v1] : ( ~ (v1 = all_0_16_16) & ~ (v0 = all_49_3_74) & sdtasdt0(xk, xp) = v0 & sdtasdt0(xm, xk) = v1)
% 171.88/144.18 |
% 171.88/144.18 +-Applying beta-rule and splitting (1101), into two cases.
% 171.88/144.18 |-Branch one:
% 171.88/144.18 | (331) xp = xm
% 171.88/144.18 |
% 171.88/144.18 | Equations (331) can reduce 104 to:
% 171.88/144.18 | (316) $false
% 171.88/144.18 |
% 171.88/144.18 |-The branch is then unsatisfiable
% 171.88/144.18 |-Branch two:
% 171.88/144.18 | (104) ~ (xp = xm)
% 171.88/144.18 | (1105) ? [v0] : ? [v1] : ( ~ (v1 = all_0_16_16) & ~ (v0 = all_49_3_74) & sdtasdt0(xk, xp) = v0 & sdtasdt0(xm, xk) = v1)
% 171.88/144.18 |
% 171.88/144.18 +-Applying beta-rule and splitting (617), into two cases.
% 171.88/144.18 |-Branch one:
% 171.88/144.18 | (315) xk = sz00
% 171.88/144.18 |
% 171.88/144.18 | Equations (315) can reduce 58 to:
% 171.88/144.18 | (316) $false
% 171.88/144.18 |
% 171.88/144.18 |-The branch is then unsatisfiable
% 171.88/144.18 |-Branch two:
% 171.88/144.18 | (58) ~ (xk = sz00)
% 171.88/144.18 | (1109) xp = xm | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xp, xk) = v1 & sdtasdt0(xm, xk) = v0 & sdtlseqdt0(v0, v1))
% 171.88/144.18 |
% 171.88/144.18 +-Applying beta-rule and splitting (1109), into two cases.
% 171.88/144.18 |-Branch one:
% 171.88/144.18 | (331) xp = xm
% 171.88/144.18 |
% 171.88/144.18 | Equations (331) can reduce 104 to:
% 171.88/144.18 | (316) $false
% 171.88/144.18 |
% 171.88/144.18 |-The branch is then unsatisfiable
% 171.88/144.18 |-Branch two:
% 171.88/144.18 | (104) ~ (xp = xm)
% 171.88/144.18 | (1113) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xp, xk) = v1 & sdtasdt0(xm, xk) = v0 & sdtlseqdt0(v0, v1))
% 171.88/144.18 |
% 171.88/144.18 +-Applying beta-rule and splitting (613), into two cases.
% 171.88/144.18 |-Branch one:
% 171.88/144.18 | (315) xk = sz00
% 171.88/144.18 |
% 171.88/144.18 | Equations (315) can reduce 58 to:
% 171.88/144.18 | (316) $false
% 171.88/144.18 |
% 171.88/144.18 |-The branch is then unsatisfiable
% 171.88/144.18 |-Branch two:
% 171.88/144.18 | (58) ~ (xk = sz00)
% 171.88/144.18 | (1117) xk = xp | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xk, xk) = v1 & sdtasdt0(xp, xk) = v0)
% 171.88/144.18 |
% 171.88/144.18 +-Applying beta-rule and splitting (865), into two cases.
% 171.88/144.18 |-Branch one:
% 171.88/144.18 | (331) xp = xm
% 171.88/144.18 |
% 171.88/144.18 | Equations (331) can reduce 104 to:
% 171.88/144.18 | (316) $false
% 171.88/144.18 |
% 171.88/144.18 |-The branch is then unsatisfiable
% 171.88/144.18 |-Branch two:
% 171.88/144.18 | (104) ~ (xp = xm)
% 171.88/144.18 | (1121) ? [v0] : ? [v1] : ( ~ (v1 = all_49_1_72) & ~ (v0 = all_0_16_16) & sdtasdt0(xk, xm) = v0 & sdtasdt0(xp, xk) = v1)
% 171.88/144.18 |
% 171.88/144.18 +-Applying beta-rule and splitting (612), into two cases.
% 171.88/144.18 |-Branch one:
% 171.88/144.18 | (315) xk = sz00
% 171.88/144.18 |
% 171.88/144.18 | Equations (315) can reduce 58 to:
% 171.88/144.18 | (316) $false
% 171.88/144.18 |
% 171.88/144.18 |-The branch is then unsatisfiable
% 171.88/144.18 |-Branch two:
% 171.88/144.18 | (58) ~ (xk = sz00)
% 171.88/144.18 | (1125) xk = xp | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xk, xk) = v0 & sdtasdt0(xp, xk) = v1 & sdtlseqdt0(v0, v1))
% 171.88/144.18 |
% 171.88/144.19 +-Applying beta-rule and splitting (604), into two cases.
% 171.88/144.19 |-Branch one:
% 171.88/144.19 | (375) xr = sz00
% 171.88/144.19 |
% 171.88/144.19 | Equations (375) can reduce 151 to:
% 171.88/144.19 | (316) $false
% 171.88/144.19 |
% 171.88/144.19 |-The branch is then unsatisfiable
% 171.88/144.19 |-Branch two:
% 171.88/144.19 | (151) ~ (xr = sz00)
% 171.88/144.19 | (1129) xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xp, xr) = v1 & sdtasdt0(xn, xr) = v0 & sdtlseqdt0(v0, v1))
% 171.88/144.19 |
% 171.88/144.19 +-Applying beta-rule and splitting (623), into two cases.
% 171.88/144.19 |-Branch one:
% 171.88/144.19 | (315) xk = sz00
% 171.88/144.19 |
% 171.88/144.19 | Equations (315) can reduce 58 to:
% 171.88/144.19 | (316) $false
% 171.88/144.19 |
% 171.88/144.19 |-The branch is then unsatisfiable
% 171.88/144.19 |-Branch two:
% 171.88/144.19 | (58) ~ (xk = sz00)
% 171.88/144.19 | (1133) xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xp, xk) = v0 & sdtasdt0(xn, xk) = v1)
% 171.88/144.19 |
% 171.88/144.19 +-Applying beta-rule and splitting (629), into two cases.
% 171.88/144.19 |-Branch one:
% 171.88/144.19 | (315) xk = sz00
% 171.88/144.19 |
% 171.88/144.19 | Equations (315) can reduce 58 to:
% 171.88/144.19 | (316) $false
% 171.88/144.19 |
% 171.88/144.19 |-The branch is then unsatisfiable
% 171.88/144.19 |-Branch two:
% 171.88/144.19 | (58) ~ (xk = sz00)
% 171.88/144.19 | (1137) xp = xm | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xk, xp) = v0 & sdtasdt0(xk, xm) = v1)
% 171.88/144.19 |
% 171.88/144.19 +-Applying beta-rule and splitting (645), into two cases.
% 171.88/144.19 |-Branch one:
% 171.88/144.19 | (343) xp = xn
% 171.88/144.19 |
% 171.88/144.19 | Equations (343) can reduce 157 to:
% 171.88/144.19 | (316) $false
% 171.88/144.19 |
% 171.88/144.19 |-The branch is then unsatisfiable
% 171.88/144.19 |-Branch two:
% 171.88/144.19 | (157) ~ (xp = xn)
% 171.88/144.19 | (1141) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_120_2_109) & sdtpldt0(all_0_15_15, xn) = v0 & sdtpldt0(xp, all_0_15_15) = v2 & sdtpldt0(xn, all_0_15_15) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_120_2_109))
% 171.88/144.19 |
% 171.88/144.19 +-Applying beta-rule and splitting (628), into two cases.
% 171.88/144.19 |-Branch one:
% 171.88/144.19 | (315) xk = sz00
% 171.88/144.19 |
% 171.88/144.19 | Equations (315) can reduce 58 to:
% 171.88/144.19 | (316) $false
% 171.88/144.19 |
% 171.88/144.19 |-The branch is then unsatisfiable
% 171.88/144.19 |-Branch two:
% 171.88/144.19 | (58) ~ (xk = sz00)
% 171.88/144.19 | (1145) xp = xm | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xk, xp) = v1 & sdtasdt0(xk, xm) = v0)
% 171.88/144.19 |
% 171.88/144.19 +-Applying beta-rule and splitting (1145), into two cases.
% 171.88/144.19 |-Branch one:
% 171.88/144.19 | (331) xp = xm
% 171.88/144.19 |
% 171.88/144.19 | Equations (331) can reduce 104 to:
% 171.88/144.19 | (316) $false
% 171.88/144.19 |
% 171.88/144.19 |-The branch is then unsatisfiable
% 171.88/144.19 |-Branch two:
% 171.88/144.19 | (104) ~ (xp = xm)
% 171.88/144.19 | (1149) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xk, xp) = v1 & sdtasdt0(xk, xm) = v0)
% 171.88/144.19 |
% 171.88/144.19 +-Applying beta-rule and splitting (1133), into two cases.
% 171.88/144.19 |-Branch one:
% 171.88/144.19 | (343) xp = xn
% 171.88/144.19 |
% 171.88/144.19 | Equations (343) can reduce 157 to:
% 171.88/144.19 | (316) $false
% 171.88/144.19 |
% 171.88/144.19 |-The branch is then unsatisfiable
% 171.88/144.19 |-Branch two:
% 171.88/144.19 | (157) ~ (xp = xn)
% 171.88/144.19 | (1153) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xp, xk) = v0 & sdtasdt0(xn, xk) = v1)
% 171.88/144.19 |
% 171.88/144.19 +-Applying beta-rule and splitting (1129), into two cases.
% 171.88/144.19 |-Branch one:
% 171.88/144.19 | (343) xp = xn
% 171.88/144.19 |
% 171.88/144.19 | Equations (343) can reduce 157 to:
% 171.88/144.19 | (316) $false
% 171.88/144.19 |
% 171.88/144.19 |-The branch is then unsatisfiable
% 171.88/144.19 |-Branch two:
% 171.88/144.19 | (157) ~ (xp = xn)
% 171.88/144.19 | (1157) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xp, xr) = v1 & sdtasdt0(xn, xr) = v0 & sdtlseqdt0(v0, v1))
% 171.88/144.19 |
% 171.88/144.19 +-Applying beta-rule and splitting (655), into two cases.
% 171.88/144.19 |-Branch one:
% 171.88/144.19 | (343) xp = xn
% 171.88/144.19 |
% 171.88/144.19 | Equations (343) can reduce 157 to:
% 171.88/144.19 | (316) $false
% 171.88/144.19 |
% 171.88/144.19 |-The branch is then unsatisfiable
% 171.88/144.19 |-Branch two:
% 171.88/144.19 | (157) ~ (xp = xn)
% 171.88/144.19 | (1161) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_88_0_92) & ~ (v1 = v0) & sdtpldt0(xn, xp) = v1 & sdtpldt0(xn, xn) = v2 & sdtpldt0(xn, xn) = v0 & sdtlseqdt0(v2, all_88_0_92) & sdtlseqdt0(v0, v1))
% 171.88/144.19 |
% 171.88/144.19 +-Applying beta-rule and splitting (627), into two cases.
% 171.88/144.19 |-Branch one:
% 171.88/144.19 | (315) xk = sz00
% 171.88/144.19 |
% 171.88/144.19 | Equations (315) can reduce 58 to:
% 171.88/144.19 | (316) $false
% 171.88/144.19 |
% 171.88/144.19 |-The branch is then unsatisfiable
% 171.88/144.19 |-Branch two:
% 171.88/144.19 | (58) ~ (xk = sz00)
% 171.88/144.19 | (1165) xp = xm | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xk, xp) = v1 & sdtasdt0(xk, xm) = v0 & sdtlseqdt0(v0, v1))
% 171.88/144.19 |
% 171.88/144.19 +-Applying beta-rule and splitting (660), into two cases.
% 171.88/144.19 |-Branch one:
% 171.88/144.19 | (343) xp = xn
% 171.88/144.19 |
% 171.88/144.19 | Equations (343) can reduce 157 to:
% 171.88/144.19 | (316) $false
% 171.88/144.19 |
% 171.88/144.19 |-The branch is then unsatisfiable
% 171.88/144.19 |-Branch two:
% 171.88/144.19 | (157) ~ (xp = xn)
% 171.88/144.19 | (1169) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_88_2_94) & sdtpldt0(xp, xn) = v2 & sdtpldt0(xn, xn) = v1 & sdtpldt0(xn, xn) = v0 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_88_2_94))
% 171.88/144.19 |
% 171.88/144.19 +-Applying beta-rule and splitting (1165), into two cases.
% 171.88/144.19 |-Branch one:
% 171.88/144.19 | (331) xp = xm
% 171.88/144.19 |
% 171.88/144.19 | Equations (331) can reduce 104 to:
% 171.88/144.19 | (316) $false
% 171.88/144.19 |
% 171.88/144.19 |-The branch is then unsatisfiable
% 171.88/144.19 |-Branch two:
% 171.88/144.19 | (104) ~ (xp = xm)
% 171.88/144.19 | (1173) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xk, xp) = v1 & sdtasdt0(xk, xm) = v0 & sdtlseqdt0(v0, v1))
% 171.88/144.19 |
% 171.88/144.19 +-Applying beta-rule and splitting (625), into two cases.
% 171.88/144.19 |-Branch one:
% 171.88/144.19 | (375) xr = sz00
% 171.88/144.19 |
% 171.88/144.19 | Equations (375) can reduce 151 to:
% 171.88/144.19 | (316) $false
% 171.88/144.19 |
% 171.88/144.19 |-The branch is then unsatisfiable
% 171.88/144.19 |-Branch two:
% 171.88/144.19 | (151) ~ (xr = sz00)
% 171.88/144.19 | (1177) xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = all_23_4_38) & ~ (v0 = all_110_0_103) & sdtasdt0(xr, xp) = v0 & sdtasdt0(xn, xr) = v1)
% 171.88/144.19 |
% 171.88/144.19 +-Applying beta-rule and splitting (1177), into two cases.
% 171.88/144.19 |-Branch one:
% 171.88/144.19 | (343) xp = xn
% 171.88/144.19 |
% 171.88/144.19 | Equations (343) can reduce 157 to:
% 171.88/144.19 | (316) $false
% 171.88/144.19 |
% 171.88/144.19 |-The branch is then unsatisfiable
% 171.88/144.19 |-Branch two:
% 171.88/144.19 | (157) ~ (xp = xn)
% 171.88/144.19 | (1181) ? [v0] : ? [v1] : ( ~ (v1 = all_23_4_38) & ~ (v0 = all_110_0_103) & sdtasdt0(xr, xp) = v0 & sdtasdt0(xn, xr) = v1)
% 171.88/144.19 |
% 171.88/144.19 +-Applying beta-rule and splitting (624), into two cases.
% 171.88/144.19 |-Branch one:
% 171.88/144.19 | (375) xr = sz00
% 171.88/144.19 |
% 171.88/144.19 | Equations (375) can reduce 151 to:
% 171.88/144.19 | (316) $false
% 171.88/144.19 |
% 171.88/144.19 |-The branch is then unsatisfiable
% 171.88/144.19 |-Branch two:
% 171.88/144.19 | (151) ~ (xr = sz00)
% 171.88/144.19 | (1185) xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = all_23_4_38) & ~ (v0 = all_110_0_103) & sdtasdt0(xr, xp) = v0 & sdtasdt0(xn, xr) = v1 & sdtlseqdt0(v1, all_23_4_38) & sdtlseqdt0(all_110_0_103, v0))
% 171.88/144.19 |
% 171.88/144.19 +-Applying beta-rule and splitting (1185), into two cases.
% 171.88/144.19 |-Branch one:
% 171.88/144.19 | (343) xp = xn
% 171.88/144.19 |
% 171.88/144.19 | Equations (343) can reduce 157 to:
% 171.88/144.19 | (316) $false
% 171.88/144.19 |
% 171.88/144.19 |-The branch is then unsatisfiable
% 171.88/144.19 |-Branch two:
% 171.88/144.19 | (157) ~ (xp = xn)
% 171.88/144.19 | (1189) ? [v0] : ? [v1] : ( ~ (v1 = all_23_4_38) & ~ (v0 = all_110_0_103) & sdtasdt0(xr, xp) = v0 & sdtasdt0(xn, xr) = v1 & sdtlseqdt0(v1, all_23_4_38) & sdtlseqdt0(all_110_0_103, v0))
% 171.88/144.19 |
% 171.88/144.19 +-Applying beta-rule and splitting (641), into two cases.
% 171.88/144.19 |-Branch one:
% 171.88/144.19 | (331) xp = xm
% 171.88/144.19 |
% 171.88/144.19 | Equations (331) can reduce 104 to:
% 171.88/144.19 | (316) $false
% 171.88/144.19 |
% 171.88/144.19 |-The branch is then unsatisfiable
% 171.88/144.19 |-Branch two:
% 171.88/144.19 | (104) ~ (xp = xm)
% 171.88/144.19 | (1193) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_130_1_114) & sdtpldt0(all_0_6_6, xm) = v0 & sdtpldt0(xp, all_0_6_6) = v2 & sdtpldt0(xm, all_0_6_6) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_130_1_114))
% 171.88/144.19 |
% 171.88/144.19 +-Applying beta-rule and splitting (675), into two cases.
% 171.88/144.19 |-Branch one:
% 171.88/144.19 | (331) xp = xm
% 171.88/144.19 |
% 171.88/144.19 | Equations (331) can reduce 104 to:
% 171.88/144.19 | (316) $false
% 171.88/144.19 |
% 171.88/144.19 |-The branch is then unsatisfiable
% 171.88/144.19 |-Branch two:
% 171.88/144.20 | (104) ~ (xp = xm)
% 171.88/144.20 | (1197) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_0_12_12) & sdtpldt0(all_0_13_13, xm) = v0 & sdtpldt0(xp, all_0_13_13) = v2 & sdtpldt0(xm, all_0_13_13) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_0_12_12))
% 171.88/144.20 |
% 171.88/144.20 | Instantiating (1197) with all_1606_0_952, all_1606_1_953, all_1606_2_954 yields:
% 171.88/144.20 | (1198) ~ (all_1606_0_952 = all_1606_1_953) & ~ (all_1606_2_954 = all_0_12_12) & sdtpldt0(all_0_13_13, xm) = all_1606_2_954 & sdtpldt0(xp, all_0_13_13) = all_1606_0_952 & sdtpldt0(xm, all_0_13_13) = all_1606_1_953 & sdtlseqdt0(all_1606_1_953, all_1606_0_952) & sdtlseqdt0(all_1606_2_954, all_0_12_12)
% 171.88/144.20 |
% 171.88/144.20 | Applying alpha-rule on (1198) yields:
% 171.88/144.20 | (1199) sdtlseqdt0(all_1606_2_954, all_0_12_12)
% 171.88/144.20 | (1200) sdtpldt0(xp, all_0_13_13) = all_1606_0_952
% 171.88/144.20 | (1201) sdtpldt0(all_0_13_13, xm) = all_1606_2_954
% 171.88/144.20 | (1202) sdtpldt0(xm, all_0_13_13) = all_1606_1_953
% 171.88/144.20 | (1203) ~ (all_1606_2_954 = all_0_12_12)
% 171.88/144.20 | (1204) sdtlseqdt0(all_1606_1_953, all_1606_0_952)
% 171.88/144.20 | (1205) ~ (all_1606_0_952 = all_1606_1_953)
% 171.88/144.20 |
% 171.88/144.20 +-Applying beta-rule and splitting (676), into two cases.
% 171.88/144.20 |-Branch one:
% 171.88/144.20 | (343) xp = xn
% 171.88/144.20 |
% 171.88/144.20 | Equations (343) can reduce 157 to:
% 171.88/144.20 | (316) $false
% 171.88/144.20 |
% 171.88/144.20 |-The branch is then unsatisfiable
% 171.88/144.20 |-Branch two:
% 171.88/144.20 | (157) ~ (xp = xn)
% 171.88/144.20 | (1209) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_0_12_12) & sdtpldt0(all_0_13_13, xn) = v0 & sdtpldt0(xp, all_0_13_13) = v2 & sdtpldt0(xn, all_0_13_13) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_0_12_12))
% 171.88/144.20 |
% 171.88/144.20 | Instantiating (1209) with all_1611_0_955, all_1611_1_956, all_1611_2_957 yields:
% 171.88/144.20 | (1210) ~ (all_1611_0_955 = all_1611_1_956) & ~ (all_1611_2_957 = all_0_12_12) & sdtpldt0(all_0_13_13, xn) = all_1611_2_957 & sdtpldt0(xp, all_0_13_13) = all_1611_0_955 & sdtpldt0(xn, all_0_13_13) = all_1611_1_956 & sdtlseqdt0(all_1611_1_956, all_1611_0_955) & sdtlseqdt0(all_1611_2_957, all_0_12_12)
% 171.88/144.20 |
% 171.88/144.20 | Applying alpha-rule on (1210) yields:
% 171.88/144.20 | (1211) sdtpldt0(xp, all_0_13_13) = all_1611_0_955
% 171.88/144.20 | (1212) sdtpldt0(all_0_13_13, xn) = all_1611_2_957
% 171.88/144.20 | (1213) sdtpldt0(xn, all_0_13_13) = all_1611_1_956
% 171.88/144.20 | (1214) sdtlseqdt0(all_1611_2_957, all_0_12_12)
% 171.88/144.20 | (1215) ~ (all_1611_2_957 = all_0_12_12)
% 171.88/144.20 | (1216) sdtlseqdt0(all_1611_1_956, all_1611_0_955)
% 171.88/144.20 | (1217) ~ (all_1611_0_955 = all_1611_1_956)
% 171.88/144.20 |
% 171.88/144.20 +-Applying beta-rule and splitting (677), into two cases.
% 171.88/144.20 |-Branch one:
% 171.88/144.20 | (494) xp = sz10
% 171.88/144.20 |
% 171.88/144.20 | Equations (494) can reduce 31 to:
% 171.88/144.20 | (316) $false
% 171.88/144.20 |
% 171.88/144.20 |-The branch is then unsatisfiable
% 171.88/144.20 |-Branch two:
% 171.88/144.20 | (31) ~ (xp = sz10)
% 171.88/144.20 | (1221) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_0_12_12) & sdtpldt0(all_0_13_13, sz10) = v0 & sdtpldt0(xp, all_0_13_13) = v2 & sdtpldt0(sz10, all_0_13_13) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_0_12_12))
% 171.88/144.20 |
% 171.88/144.20 | Instantiating (1221) with all_1616_0_958, all_1616_1_959, all_1616_2_960 yields:
% 171.88/144.20 | (1222) ~ (all_1616_0_958 = all_1616_1_959) & ~ (all_1616_2_960 = all_0_12_12) & sdtpldt0(all_0_13_13, sz10) = all_1616_2_960 & sdtpldt0(xp, all_0_13_13) = all_1616_0_958 & sdtpldt0(sz10, all_0_13_13) = all_1616_1_959 & sdtlseqdt0(all_1616_1_959, all_1616_0_958) & sdtlseqdt0(all_1616_2_960, all_0_12_12)
% 171.88/144.20 |
% 171.88/144.20 | Applying alpha-rule on (1222) yields:
% 171.88/144.20 | (1223) sdtpldt0(all_0_13_13, sz10) = all_1616_2_960
% 171.88/144.20 | (1224) sdtlseqdt0(all_1616_1_959, all_1616_0_958)
% 171.88/144.20 | (1225) sdtpldt0(sz10, all_0_13_13) = all_1616_1_959
% 171.88/144.20 | (1226) sdtpldt0(xp, all_0_13_13) = all_1616_0_958
% 171.88/144.20 | (1227) ~ (all_1616_0_958 = all_1616_1_959)
% 171.88/144.20 | (1228) sdtlseqdt0(all_1616_2_960, all_0_12_12)
% 171.88/144.20 | (1229) ~ (all_1616_2_960 = all_0_12_12)
% 171.88/144.20 |
% 171.88/144.20 | Instantiating formula (131) with all_0_18_18, xp, all_768_0_701, all_0_17_17 and discharging atoms sdtpldt0(all_0_18_18, xp) = all_768_0_701, sdtpldt0(all_0_18_18, xp) = all_0_17_17, yields:
% 171.88/144.20 | (1230) all_768_0_701 = all_0_17_17
% 171.88/144.20 |
% 171.88/144.20 | Instantiating formula (131) with xp, all_0_13_13, all_1606_0_952, all_1616_0_958 and discharging atoms sdtpldt0(xp, all_0_13_13) = all_1616_0_958, sdtpldt0(xp, all_0_13_13) = all_1606_0_952, yields:
% 171.88/144.20 | (1231) all_1616_0_958 = all_1606_0_952
% 171.88/144.20 |
% 171.88/144.20 | Instantiating formula (131) with xp, all_0_13_13, all_983_0_772, all_1616_0_958 and discharging atoms sdtpldt0(xp, all_0_13_13) = all_1616_0_958, sdtpldt0(xp, all_0_13_13) = all_983_0_772, yields:
% 171.88/144.20 | (1232) all_1616_0_958 = all_983_0_772
% 171.88/144.20 |
% 171.88/144.20 | Instantiating formula (131) with xp, all_0_13_13, all_956_2_762, all_1611_0_955 and discharging atoms sdtpldt0(xp, all_0_13_13) = all_1611_0_955, sdtpldt0(xp, all_0_13_13) = all_956_2_762, yields:
% 171.88/144.20 | (1233) all_1611_0_955 = all_956_2_762
% 171.88/144.20 |
% 171.88/144.20 | Instantiating formula (131) with xp, all_0_13_13, all_956_2_762, all_983_0_772 and discharging atoms sdtpldt0(xp, all_0_13_13) = all_983_0_772, sdtpldt0(xp, all_0_13_13) = all_956_2_762, yields:
% 171.88/144.20 | (1234) all_983_0_772 = all_956_2_762
% 171.88/144.20 |
% 171.88/144.20 | Instantiating formula (131) with xp, all_0_13_13, all_883_0_743, all_1611_0_955 and discharging atoms sdtpldt0(xp, all_0_13_13) = all_1611_0_955, sdtpldt0(xp, all_0_13_13) = all_883_0_743, yields:
% 171.88/144.20 | (1235) all_1611_0_955 = all_883_0_743
% 171.88/144.20 |
% 171.88/144.20 | Instantiating formula (131) with xp, all_0_13_13, all_768_2_703, all_1611_0_955 and discharging atoms sdtpldt0(xp, all_0_13_13) = all_1611_0_955, sdtpldt0(xp, all_0_13_13) = all_768_2_703, yields:
% 171.88/144.20 | (1236) all_1611_0_955 = all_768_2_703
% 171.88/144.20 |
% 171.88/144.20 | Instantiating formula (131) with xp, all_0_13_13, all_758_1_700, all_1616_0_958 and discharging atoms sdtpldt0(xp, all_0_13_13) = all_1616_0_958, sdtpldt0(xp, all_0_13_13) = all_758_1_700, yields:
% 171.88/144.20 | (1237) all_1616_0_958 = all_758_1_700
% 171.88/144.20 |
% 171.88/144.20 | Instantiating formula (131) with xp, all_0_13_13, all_0_12_12, all_768_2_703 and discharging atoms sdtpldt0(xp, all_0_13_13) = all_768_2_703, sdtpldt0(xp, all_0_13_13) = all_0_12_12, yields:
% 171.88/144.20 | (1238) all_768_2_703 = all_0_12_12
% 171.88/144.20 |
% 171.88/144.20 | Instantiating formula (131) with xp, all_0_18_18, all_1322_0_869, all_1327_0_872 and discharging atoms sdtpldt0(xp, all_0_18_18) = all_1327_0_872, sdtpldt0(xp, all_0_18_18) = all_1322_0_869, yields:
% 171.88/144.20 | (1239) all_1327_0_872 = all_1322_0_869
% 171.88/144.20 |
% 171.88/144.20 | Instantiating formula (131) with xp, all_0_18_18, all_1049_0_796, all_1322_0_869 and discharging atoms sdtpldt0(xp, all_0_18_18) = all_1322_0_869, sdtpldt0(xp, all_0_18_18) = all_1049_0_796, yields:
% 171.88/144.20 | (1240) all_1322_0_869 = all_1049_0_796
% 171.88/144.20 |
% 171.88/144.20 | Instantiating formula (131) with xp, all_0_18_18, all_983_1_773, all_1049_0_796 and discharging atoms sdtpldt0(xp, all_0_18_18) = all_1049_0_796, sdtpldt0(xp, all_0_18_18) = all_983_1_773, yields:
% 171.88/144.20 | (1241) all_1049_0_796 = all_983_1_773
% 171.88/144.20 |
% 171.88/144.20 | Instantiating formula (131) with xp, all_0_18_18, all_961_0_763, all_1327_0_872 and discharging atoms sdtpldt0(xp, all_0_18_18) = all_1327_0_872, sdtpldt0(xp, all_0_18_18) = all_961_0_763, yields:
% 171.88/144.20 | (1242) all_1327_0_872 = all_961_0_763
% 171.88/144.20 |
% 171.88/144.20 | Instantiating formula (131) with xp, all_0_18_18, all_956_1_761, all_983_1_773 and discharging atoms sdtpldt0(xp, all_0_18_18) = all_983_1_773, sdtpldt0(xp, all_0_18_18) = all_956_1_761, yields:
% 171.88/144.20 | (1243) all_983_1_773 = all_956_1_761
% 171.88/144.20 |
% 171.88/144.20 | Instantiating formula (131) with xp, all_0_18_18, all_768_1_702, all_956_1_761 and discharging atoms sdtpldt0(xp, all_0_18_18) = all_956_1_761, sdtpldt0(xp, all_0_18_18) = all_768_1_702, yields:
% 171.88/144.20 | (1244) all_956_1_761 = all_768_1_702
% 171.88/144.20 |
% 171.88/144.20 | Instantiating formula (131) with xp, all_0_18_18, all_758_0_699, all_768_1_702 and discharging atoms sdtpldt0(xp, all_0_18_18) = all_768_1_702, sdtpldt0(xp, all_0_18_18) = all_758_0_699, yields:
% 171.88/144.20 | (1245) all_768_1_702 = all_758_0_699
% 171.88/144.20 |
% 171.88/144.20 | Instantiating formula (131) with xp, all_0_18_18, all_0_17_17, all_983_1_773 and discharging atoms sdtpldt0(xp, all_0_18_18) = all_983_1_773, sdtpldt0(xp, all_0_18_18) = all_0_17_17, yields:
% 171.88/144.20 | (1246) all_983_1_773 = all_0_17_17
% 171.88/144.20 |
% 171.88/144.20 | Combining equations (1237,1231) yields a new equation:
% 171.88/144.20 | (1247) all_1606_0_952 = all_758_1_700
% 171.88/144.20 |
% 171.88/144.20 | Combining equations (1232,1231) yields a new equation:
% 171.88/144.20 | (1248) all_1606_0_952 = all_983_0_772
% 171.88/144.20 |
% 171.88/144.20 | Combining equations (1236,1235) yields a new equation:
% 171.88/144.20 | (1249) all_883_0_743 = all_768_2_703
% 171.88/144.20 |
% 171.88/144.20 | Combining equations (1233,1235) yields a new equation:
% 171.88/144.20 | (1250) all_956_2_762 = all_883_0_743
% 171.88/144.20 |
% 171.88/144.20 | Simplifying 1250 yields:
% 171.88/144.20 | (1251) all_956_2_762 = all_883_0_743
% 171.88/144.20 |
% 171.88/144.20 | Combining equations (1248,1247) yields a new equation:
% 171.88/144.20 | (1252) all_983_0_772 = all_758_1_700
% 171.88/144.20 |
% 171.88/144.20 | Simplifying 1252 yields:
% 171.88/144.20 | (1253) all_983_0_772 = all_758_1_700
% 171.88/144.20 |
% 171.88/144.20 | Combining equations (1239,1242) yields a new equation:
% 171.88/144.20 | (1254) all_1322_0_869 = all_961_0_763
% 171.88/144.20 |
% 171.88/144.20 | Simplifying 1254 yields:
% 171.88/144.20 | (1255) all_1322_0_869 = all_961_0_763
% 171.88/144.20 |
% 171.88/144.20 | Combining equations (1240,1255) yields a new equation:
% 171.88/144.20 | (1256) all_1049_0_796 = all_961_0_763
% 171.88/144.20 |
% 171.88/144.20 | Simplifying 1256 yields:
% 171.88/144.20 | (1257) all_1049_0_796 = all_961_0_763
% 171.88/144.20 |
% 171.88/144.20 | Combining equations (1241,1257) yields a new equation:
% 171.88/144.20 | (1258) all_983_1_773 = all_961_0_763
% 171.88/144.20 |
% 171.88/144.20 | Simplifying 1258 yields:
% 171.88/144.20 | (1259) all_983_1_773 = all_961_0_763
% 171.88/144.20 |
% 171.88/144.20 | Combining equations (1234,1253) yields a new equation:
% 171.88/144.20 | (1260) all_956_2_762 = all_758_1_700
% 171.88/144.20 |
% 171.88/144.20 | Simplifying 1260 yields:
% 171.88/144.20 | (1261) all_956_2_762 = all_758_1_700
% 171.88/144.20 |
% 171.88/144.20 | Combining equations (1246,1259) yields a new equation:
% 171.88/144.20 | (1262) all_961_0_763 = all_0_17_17
% 171.88/144.20 |
% 171.88/144.20 | Combining equations (1243,1259) yields a new equation:
% 171.88/144.20 | (1263) all_961_0_763 = all_956_1_761
% 171.88/144.20 |
% 171.88/144.20 | Combining equations (1263,1262) yields a new equation:
% 171.88/144.20 | (1264) all_956_1_761 = all_0_17_17
% 171.88/144.20 |
% 171.88/144.20 | Simplifying 1264 yields:
% 171.88/144.20 | (1265) all_956_1_761 = all_0_17_17
% 171.88/144.20 |
% 171.88/144.20 | Combining equations (1244,1265) yields a new equation:
% 171.88/144.20 | (1266) all_768_1_702 = all_0_17_17
% 171.88/144.20 |
% 171.88/144.20 | Simplifying 1266 yields:
% 171.88/144.20 | (1267) all_768_1_702 = all_0_17_17
% 171.88/144.20 |
% 171.88/144.21 | Combining equations (1251,1261) yields a new equation:
% 171.88/144.21 | (1268) all_883_0_743 = all_758_1_700
% 171.88/144.21 |
% 171.88/144.21 | Simplifying 1268 yields:
% 171.88/144.21 | (1269) all_883_0_743 = all_758_1_700
% 171.88/144.21 |
% 171.88/144.21 | Combining equations (1249,1269) yields a new equation:
% 171.88/144.21 | (1270) all_768_2_703 = all_758_1_700
% 171.88/144.21 |
% 171.88/144.21 | Simplifying 1270 yields:
% 171.88/144.21 | (1271) all_768_2_703 = all_758_1_700
% 171.88/144.21 |
% 171.88/144.21 | Combining equations (1245,1267) yields a new equation:
% 171.88/144.21 | (1272) all_758_0_699 = all_0_17_17
% 171.88/144.21 |
% 171.88/144.21 | Simplifying 1272 yields:
% 171.88/144.21 | (1273) all_758_0_699 = all_0_17_17
% 171.88/144.21 |
% 171.88/144.21 | Combining equations (1238,1271) yields a new equation:
% 171.88/144.21 | (1274) all_758_1_700 = all_0_12_12
% 171.88/144.21 |
% 171.88/144.21 | Equations (1273,1274) can reduce 707 to:
% 171.88/144.21 | (1275) ~ (all_0_12_12 = all_0_17_17)
% 171.88/144.21 |
% 171.88/144.21 | Simplifying 1275 yields:
% 171.88/144.21 | (1276) ~ (all_0_12_12 = all_0_17_17)
% 171.88/144.21 |
% 171.88/144.21 | From (1230) and (717) follows:
% 171.88/144.21 | (1277) sdtlseqdt0(all_0_12_12, all_0_17_17)
% 171.88/144.21 |
% 171.88/144.21 +-Applying beta-rule and splitting (84), into two cases.
% 171.88/144.21 |-Branch one:
% 171.88/144.21 | (1278) all_0_12_12 = all_0_17_17
% 171.88/144.21 |
% 171.88/144.21 | Equations (1278) can reduce 1276 to:
% 171.88/144.21 | (316) $false
% 171.88/144.21 |
% 171.88/144.21 |-The branch is then unsatisfiable
% 171.88/144.21 |-Branch two:
% 171.88/144.21 | (1276) ~ (all_0_12_12 = all_0_17_17)
% 171.88/144.21 | (1281) ~ sdtlseqdt0(all_0_12_12, all_0_17_17) & ! [v0] : ( ~ aNaturalNumber0(v0) | ? [v1] : ( ~ (v1 = all_0_17_17) & sdtpldt0(all_0_12_12, v0) = v1))
% 171.88/144.21 |
% 171.88/144.21 | Applying alpha-rule on (1281) yields:
% 171.88/144.21 | (1282) ~ sdtlseqdt0(all_0_12_12, all_0_17_17)
% 171.88/144.21 | (1283) ! [v0] : ( ~ aNaturalNumber0(v0) | ? [v1] : ( ~ (v1 = all_0_17_17) & sdtpldt0(all_0_12_12, v0) = v1))
% 171.88/144.21 |
% 171.88/144.21 | Using (1277) and (1282) yields:
% 171.88/144.21 | (1284) $false
% 171.88/144.21 |
% 171.88/144.21 |-The branch is then unsatisfiable
% 171.88/144.21 |-Branch two:
% 171.88/144.21 | (1285) ~ sdtlseqdt0(sz10, xp)
% 171.88/144.21 | (1286) xp = sz10 | xp = sz00
% 171.88/144.21 |
% 171.88/144.21 +-Applying beta-rule and splitting (1286), into two cases.
% 171.88/144.21 |-Branch one:
% 171.88/144.21 | (451) xp = sz00
% 171.88/144.21 |
% 171.88/144.21 | Equations (451) can reduce 40 to:
% 171.88/144.21 | (316) $false
% 171.88/144.21 |
% 171.88/144.21 |-The branch is then unsatisfiable
% 171.88/144.21 |-Branch two:
% 171.88/144.21 | (40) ~ (xp = sz00)
% 171.88/144.21 | (494) xp = sz10
% 171.88/144.21 |
% 171.88/144.21 | Equations (494) can reduce 31 to:
% 171.88/144.21 | (316) $false
% 171.88/144.21 |
% 171.88/144.21 |-The branch is then unsatisfiable
% 171.88/144.21 |-Branch two:
% 171.88/144.21 | (1292) ~ (all_0_9_9 = all_0_15_15)
% 171.88/144.21 | (1293) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(all_0_9_9, xr) = v0 & sdtasdt0(all_0_15_15, xr) = v1)
% 171.88/144.21 |
% 171.88/144.21 +-Applying beta-rule and splitting (171), into two cases.
% 171.88/144.21 |-Branch one:
% 171.88/144.21 | (375) xr = sz00
% 171.88/144.21 |
% 171.88/144.21 | Equations (375) can reduce 151 to:
% 171.88/144.21 | (316) $false
% 171.88/144.21 |
% 171.88/144.21 |-The branch is then unsatisfiable
% 171.88/144.21 |-Branch two:
% 171.88/144.21 | (151) ~ (xr = sz00)
% 171.88/144.21 | (470) xr = sz10 | ? [v0] : (isPrime0(v0) & doDivides0(v0, xr) & aNaturalNumber0(v0))
% 171.88/144.21 |
% 171.88/144.21 +-Applying beta-rule and splitting (166), into two cases.
% 171.88/144.21 |-Branch one:
% 171.88/144.21 | (375) xr = sz00
% 171.88/144.21 |
% 171.88/144.21 | Equations (375) can reduce 151 to:
% 171.88/144.21 | (316) $false
% 171.88/144.21 |
% 171.88/144.21 |-The branch is then unsatisfiable
% 171.88/144.21 |-Branch two:
% 171.88/144.21 | (151) ~ (xr = sz00)
% 171.88/144.21 | (446) all_0_9_9 = all_0_15_15
% 171.88/144.21 |
% 171.88/144.21 | Equations (446) can reduce 1292 to:
% 171.88/144.21 | (316) $false
% 171.88/144.21 |
% 171.88/144.21 |-The branch is then unsatisfiable
% 171.88/144.21 % SZS output end Proof for theBenchmark
% 171.88/144.21
% 171.88/144.21 143594ms
%------------------------------------------------------------------------------