TSTP Solution File: RNG057+2 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : RNG057+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 20:25:13 EDT 2022
% Result : Theorem 20.03s 6.58s
% Output : Proof 37.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG057+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon May 30 09:48:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.59 ____ _
% 0.20/0.59 ___ / __ \_____(_)___ ________ __________
% 0.20/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.20/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.20/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.20/0.59
% 0.20/0.59 A Theorem Prover for First-Order Logic
% 0.20/0.59 (ePrincess v.1.0)
% 0.20/0.59
% 0.20/0.59 (c) Philipp Rümmer, 2009-2015
% 0.20/0.59 (c) Peter Backeman, 2014-2015
% 0.20/0.59 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.20/0.59 Free software under GNU Lesser General Public License (LGPL).
% 0.20/0.59 Bug reports to peter@backeman.se
% 0.20/0.59
% 0.20/0.59 For more information, visit http://user.uu.se/~petba168/breu/
% 0.20/0.59
% 0.20/0.59 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.20/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.89/1.02 Prover 0: Preprocessing ...
% 3.77/1.54 Prover 0: Constructing countermodel ...
% 17.28/5.93 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 17.73/6.04 Prover 1: Preprocessing ...
% 18.50/6.21 Prover 1: Constructing countermodel ...
% 20.03/6.58 Prover 1: proved (642ms)
% 20.03/6.58 Prover 0: stopped
% 20.03/6.58
% 20.03/6.58 No countermodel exists, formula is valid
% 20.03/6.58 % SZS status Theorem for theBenchmark
% 20.03/6.58
% 20.03/6.58 Generating proof ... found it (size 319)
% 35.99/11.40
% 35.99/11.40 % SZS output start Proof for theBenchmark
% 35.99/11.40 Assumed formulas after preprocessing and simplification:
% 35.99/11.40 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ( ~ (v8 = 0) & ~ (v1 = sz00) & sdtasasdt0(xq, xq) = xD & sdtasasdt0(xp, xq) = xE & sdtasasdt0(xp, xp) = xC & sziznziztdt0(xt) = xq & sziznziztdt0(xs) = xp & sdtlbdtrb0(xt, v1) = xB & sdtlbdtrb0(xs, v1) = xA & aVector0(xq) = 0 & aVector0(xp) = 0 & aVector0(xt) = 0 & aVector0(xs) = 0 & aDimensionOf0(xq) = v3 & aDimensionOf0(xp) = v2 & aDimensionOf0(xt) = v1 & aDimensionOf0(xs) = v1 & sdtlseqdt0(v6, xN) = v8 & sdtlseqdt0(v4, v5) = 0 & smndt0(sz0z00) = v0 & sdtasdt0(v7, v5) = xN & sdtasdt0(v7, v4) = v6 & sdtasdt0(xP, xP) = v6 & sdtasdt0(xR, xS) = xN & sdtasdt0(xH, xH) = v7 & sdtasdt0(xF, xD) = xS & sdtasdt0(xE, xH) = xP & sdtasdt0(xE, xE) = v4 & sdtasdt0(xC, xG) = xR & sdtasdt0(xC, xD) = v5 & sdtasdt0(xB, xB) = xG & sdtasdt0(xA, xB) = xH & sdtasdt0(xA, xA) = xF & aScalar0(xN) = 0 & aScalar0(xS) = 0 & aScalar0(xP) = 0 & aScalar0(xR) = 0 & aScalar0(xH) = 0 & aScalar0(xG) = 0 & aScalar0(xF) = 0 & aScalar0(xE) = 0 & aScalar0(xD) = 0 & aScalar0(xC) = 0 & aScalar0(xB) = 0 & aScalar0(xA) = 0 & aScalar0(sz0z00) = 0 & szszuzczcdt0(v3) = v1 & szszuzczcdt0(v2) = v1 & aNaturalNumber0(sz00) = 0 & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (sdtasdt0(v10, v12) = v17) | ~ (sdtasdt0(v10, v11) = v16) | ~ (sdtasdt0(v9, v12) = v14) | ~ (sdtasdt0(v9, v11) = v13) | ~ (sdtpldt0(v16, v17) = v18) | ~ (sdtpldt0(v15, v18) = v19) | ~ (sdtpldt0(v13, v14) = v15) | ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : (sdtasdt0(v24, v25) = v26 & sdtpldt0(v11, v12) = v25 & sdtpldt0(v9, v10) = v24 & aScalar0(v12) = v23 & aScalar0(v11) = v22 & aScalar0(v10) = v21 & aScalar0(v9) = v20 & ( ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | v26 = v19))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v11 = sz00 | ~ (sdtasasdt0(v12, v13) = v14) | ~ (sziznziztdt0(v10) = v13) | ~ (sziznziztdt0(v9) = v12) | ~ (sdtlbdtrb0(v10, v11) = v16) | ~ (sdtlbdtrb0(v9, v11) = v15) | ~ (aDimensionOf0(v10) = v11) | ~ (aDimensionOf0(v9) = v11) | ~ (sdtasdt0(v15, v16) = v17) | ~ (sdtpldt0(v14, v17) = v18) | ? [v19] : ? [v20] : ? [v21] : (sdtasasdt0(v9, v10) = v21 & aVector0(v10) = v20 & aVector0(v9) = v19 & ( ~ (v20 = 0) | ~ (v19 = 0) | v21 = v18))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | ~ (sdtasasdt0(v10, v10) = v14) | ~ (sdtasasdt0(v9, v10) = v11) | ~ (sdtasasdt0(v9, v9) = v13) | ~ (sdtlseqdt0(v12, v15) = v16) | ~ (sdtasdt0(v13, v14) = v15) | ~ (sdtasdt0(v11, v11) = v12) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : (aVector0(v10) = v18 & aVector0(v9) = v17 & aDimensionOf0(v10) = v20 & aDimensionOf0(v9) = v19 & iLess0(v19, v1) = v21 & ( ~ (v21 = 0) | ~ (v20 = v19) | ~ (v18 = 0) | ~ (v17 = 0)))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (sdtlseqdt0(v13, v14) = v15) | ~ (sdtasdt0(v10, v12) = v14) | ~ (sdtasdt0(v9, v11) = v13) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : (sdtlseqdt0(v11, v12) = v22 & sdtlseqdt0(v9, v10) = v20 & sdtlseqdt0(sz0z00, v11) = v21 & aScalar0(v12) = v19 & aScalar0(v11) = v18 & aScalar0(v10) = v17 & aScalar0(v9) = v16 & ( ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0)))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (sdtlseqdt0(v13, v14) = v15) | ~ (sdtpldt0(v10, v12) = v14) | ~ (sdtpldt0(v9, v11) = v13) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : (sdtlseqdt0(v11, v12) = v21 & sdtlseqdt0(v9, v10) = v20 & aScalar0(v12) = v19 & aScalar0(v11) = v18 & aScalar0(v10) = v17 & aScalar0(v9) = v16 & ( ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0)))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (sdtasdt0(v9, v11) = v13) | ~ (sdtasdt0(v9, v10) = v12) | ~ (sdtpldt0(v12, v13) = v14) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : (sdtasdt0(v20, v11) = v21 & sdtasdt0(v10, v11) = v22 & sdtasdt0(v9, v18) = v19 & sdtpldt0(v13, v22) = v23 & sdtpldt0(v10, v11) = v18 & sdtpldt0(v9, v10) = v20 & aScalar0(v11) = v17 & aScalar0(v10) = v16 & aScalar0(v9) = v15 & ( ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0) | (v23 = v21 & v19 = v14)))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (smndt0(v10) = v12) | ~ (smndt0(v9) = v11) | ~ (sdtasdt0(v11, v12) = v13) | ? [v14] : ? [v15] : ? [v16] : (sdtasdt0(v9, v10) = v16 & aScalar0(v10) = v15 & aScalar0(v9) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0) | v16 = v13))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (sdtpldt0(v12, v11) = v13) | ~ (sdtpldt0(v9, v10) = v12) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : (sdtasdt0(v20, v11) = v21 & sdtasdt0(v10, v11) = v22 & sdtasdt0(v10, v9) = v24 & sdtasdt0(v9, v22) = v23 & sdtasdt0(v9, v10) = v20 & sdtpldt0(v10, v11) = v17 & sdtpldt0(v10, v9) = v19 & sdtpldt0(v9, v17) = v18 & aScalar0(v11) = v16 & aScalar0(v10) = v15 & aScalar0(v9) = v14 & ( ~ (v16 = 0) | ~ (v15 = 0) | ~ (v14 = 0) | (v24 = v20 & v23 = v21 & v19 = v12 & v18 = v13)))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (sdtlseqdt0(v9, v11) = v12) | ~ (sdtlseqdt0(v9, v10) = 0) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : (sdtlseqdt0(v10, v11) = v16 & aScalar0(v11) = v15 & aScalar0(v10) = v14 & aScalar0(v9) = v13 & ( ~ (v16 = 0) | ~ (v15 = 0) | ~ (v14 = 0) | ~ (v13 = 0)))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (sdtasasdt0(v12, v11) = v10) | ~ (sdtasasdt0(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (sdtlbdtrb0(v12, v11) = v10) | ~ (sdtlbdtrb0(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (sdtlseqdt0(v12, v11) = v10) | ~ (sdtlseqdt0(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (sdtasdt0(v12, v11) = v10) | ~ (sdtasdt0(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (sdtpldt0(v12, v11) = v10) | ~ (sdtpldt0(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (iLess0(v12, v11) = v10) | ~ (iLess0(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (sziznziztdt0(v10) = v12) | ~ (sziznziztdt0(v9) = v11) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : (aVector0(v10) = v14 & aVector0(v9) = v13 & aDimensionOf0(v12) = v18 & aDimensionOf0(v11) = v17 & aDimensionOf0(v10) = v16 & aDimensionOf0(v9) = v15 & ( ~ (v16 = v15) | ~ (v14 = 0) | ~ (v13 = 0) | v18 = v17 | v15 = sz00))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (smndt0(v9) = v11) | ~ (sdtasdt0(v11, v10) = v12) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : (smndt0(v17) = v18 & smndt0(v10) = v15 & sdtasdt0(v9, v15) = v16 & sdtasdt0(v9, v10) = v17 & aScalar0(v10) = v14 & aScalar0(v9) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0) | (v18 = v12 & v16 = v12)))) & ! [v9] : ! [v10] : ! [v11] : (v11 = sz0z00 | ~ (sdtasasdt0(v9, v10) = v11) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : (aVector0(v10) = v13 & aVector0(v9) = v12 & aDimensionOf0(v10) = v15 & aDimensionOf0(v9) = v14 & ( ~ (v15 = sz00) | ~ (v14 = sz00) | ~ (v13 = 0) | ~ (v12 = 0)))) & ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | ~ (sdtlseqdt0(v9, v10) = v11) | ? [v12] : ? [v13] : ? [v14] : (sdtlseqdt0(v10, v9) = v14 & aScalar0(v10) = v13 & aScalar0(v9) = v12 & ( ~ (v13 = 0) | ~ (v12 = 0) | v14 = 0))) & ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | ~ (iLess0(v9, v10) = v11) | ~ (szszuzczcdt0(v9) = v10) | ? [v12] : ( ~ (v12 = 0) & aNaturalNumber0(v9) = v12)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (sziznziztdt0(v11) = v10) | ~ (sziznziztdt0(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (aVector0(v11) = v10) | ~ (aVector0(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (aDimensionOf0(v11) = v10) | ~ (aDimensionOf0(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (smndt0(v11) = v10) | ~ (smndt0(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (aScalar0(v11) = v10) | ~ (aScalar0(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (szszuzczcdt0(v11) = v10) | ~ (szszuzczcdt0(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (szszuzczcdt0(v10) = v11) | ~ (szszuzczcdt0(v9) = v11) | ? [v12] : ? [v13] : (aNaturalNumber0(v10) = v13 & aNaturalNumber0(v9) = v12 & ( ~ (v13 = 0) | ~ (v12 = 0)))) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (aNaturalNumber0(v11) = v10) | ~ (aNaturalNumber0(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ( ~ (sdtasasdt0(v9, v10) = v11) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : (aVector0(v10) = v13 & aVector0(v9) = v12 & aDimensionOf0(v10) = v15 & aDimensionOf0(v9) = v14 & aScalar0(v11) = v16 & ( ~ (v15 = v14) | ~ (v13 = 0) | ~ (v12 = 0) | v16 = 0))) & ! [v9] : ! [v10] : ! [v11] : ( ~ (sdtlbdtrb0(v9, v10) = v11) | ? [v12] : ? [v13] : ? [v14] : (aVector0(v9) = v12 & aScalar0(v11) = v14 & aNaturalNumber0(v10) = v13 & ( ~ (v13 = 0) | ~ (v12 = 0) | v14 = 0))) & ! [v9] : ! [v10] : ! [v11] : ( ~ (smndt0(v9) = v10) | ~ (sdtpldt0(v10, v9) = v11) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : (smndt0(v10) = v18 & sdtasdt0(v9, sz0z00) = v15 & sdtasdt0(sz0z00, v9) = v16 & sdtpldt0(v9, v10) = v17 & sdtpldt0(v9, sz0z00) = v13 & sdtpldt0(sz0z00, v9) = v14 & aScalar0(v9) = v12 & ( ~ (v12 = 0) | (v18 = v9 & v17 = sz0z00 & v16 = sz0z00 & v15 = sz0z00 & v14 = v9 & v13 = v9 & v11 = sz0z00 & v0 = sz0z00)))) & ! [v9] : ! [v10] : ! [v11] : ( ~ (sdtasdt0(v9, v10) = v11) | ? [v12] : ? [v13] : ? [v14] : (aScalar0(v11) = v14 & aScalar0(v10) = v13 & aScalar0(v9) = v12 & ( ~ (v13 = 0) | ~ (v12 = 0) | v14 = 0))) & ! [v9] : ! [v10] : ! [v11] : ( ~ (sdtpldt0(v9, v10) = v11) | ? [v12] : ? [v13] : ? [v14] : (aScalar0(v11) = v14 & aScalar0(v10) = v13 & aScalar0(v9) = v12 & ( ~ (v13 = 0) | ~ (v12 = 0) | v14 = 0))) & ! [v9] : ! [v10] : (v10 = v9 | ~ (sdtlseqdt0(v9, v10) = 0) | ? [v11] : ? [v12] : ? [v13] : (sdtlseqdt0(v10, v9) = v13 & aScalar0(v10) = v12 & aScalar0(v9) = v11 & ( ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0)))) & ! [v9] : ! [v10] : (v10 = v9 | ~ (sdtlseqdt0(sz0z00, v10) = 0) | ~ (sdtlseqdt0(sz0z00, v9) = 0) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : (sdtasdt0(v10, v10) = v14 & sdtasdt0(v9, v9) = v13 & aScalar0(v10) = v12 & aScalar0(v9) = v11 & ( ~ (v14 = v13) | ~ (v12 = 0) | ~ (v11 = 0)))) & ! [v9] : ! [v10] : (v10 = 0 | ~ (sdtlseqdt0(v9, v9) = v10) | ? [v11] : ( ~ (v11 = 0) & aScalar0(v9) = v11)) & ! [v9] : ! [v10] : ( ~ (sdtasasdt0(v9, v9) = v10) | ? [v11] : ? [v12] : (aVector0(v9) = v11 & sdtlseqdt0(sz0z00, v10) = v12 & ( ~ (v11 = 0) | v12 = 0))) & ! [v9] : ! [v10] : ( ~ (sziznziztdt0(v9) = v10) | ? [v11] : ? [v12] : (aVector0(v9) = v11 & aDimensionOf0(v9) = v12 & ( ~ (v11 = 0) | v12 = sz00 | ( ! [v13] : ! [v14] : ! [v15] : ( ~ (sdtlbdtrb0(v9, v14) = v15) | ~ (aVector0(v10) = v13) | ? [v16] : ? [v17] : (sdtlbdtrb0(v10, v14) = v17 & aNaturalNumber0(v14) = v16 & ( ~ (v16 = 0) | v17 = v15))) & ! [v13] : (v13 = v10 | ~ (aVector0(v13) = 0) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v15 = 0 & ~ (v17 = v16) & sdtlbdtrb0(v13, v14) = v16 & sdtlbdtrb0(v9, v14) = v17 & aNaturalNumber0(v14) = 0) | ( ~ (v15 = v12) & aDimensionOf0(v13) = v14 & szszuzczcdt0(v14) = v15))) & ! [v13] : (v13 = 0 | ~ (aVector0(v10) = v13)) & ! [v13] : ( ~ (aVector0(v10) = v13) | ? [v14] : (aDimensionOf0(v10) = v14 & szszuzczcdt0(v14) = v12)))))) & ! [v9] : ! [v10] : ( ~ (sdtlbdtrb0(xp, v9) = v10) | ? [v11] : ? [v12] : (sdtlbdtrb0(xs, v9) = v12 & aNaturalNumber0(v9) = v11 & ( ~ (v11 = 0) | v12 = v10))) & ! [v9] : ! [v10] : ( ~ (sdtlbdtrb0(xt, v9) = v10) | ? [v11] : ? [v12] : (sdtlbdtrb0(xq, v9) = v12 & aNaturalNumber0(v9) = v11 & ( ~ (v11 = 0) | v12 = v10))) & ! [v9] : ! [v10] : ( ~ (sdtlseqdt0(sz0z00, v10) = 0) | ~ (sdtlseqdt0(sz0z00, v9) = 0) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : (sdtlseqdt0(sz0z00, v15) = v16 & sdtlseqdt0(sz0z00, v13) = v14 & sdtasdt0(v9, v10) = v15 & sdtpldt0(v9, v10) = v13 & aScalar0(v10) = v12 & aScalar0(v9) = v11 & ( ~ (v12 = 0) | ~ (v11 = 0) | (v16 = 0 & v14 = 0)))) & ! [v9] : ! [v10] : ( ~ (smndt0(v9) = v10) | ? [v11] : ? [v12] : (aScalar0(v10) = v12 & aScalar0(v9) = v11 & ( ~ (v11 = 0) | v12 = 0))) & ! [v9] : ! [v10] : ( ~ (sdtasdt0(v9, v9) = v10) | ? [v11] : ? [v12] : (sdtlseqdt0(sz0z00, v10) = v12 & aScalar0(v9) = v11 & ( ~ (v11 = 0) | v12 = 0))) & ! [v9] : ! [v10] : ( ~ (szszuzczcdt0(v9) = v10) | ? [v11] : ? [v12] : (aNaturalNumber0(v10) = v12 & aNaturalNumber0(v9) = v11 & ( ~ (v11 = 0) | (v12 = 0 & ~ (v10 = sz00))))) & ! [v9] : (v9 = sz00 | ~ (aNaturalNumber0(v9) = 0) | ? [v10] : (szszuzczcdt0(v10) = v9 & aNaturalNumber0(v10) = 0)) & ! [v9] : ( ~ (aVector0(v9) = 0) | ? [v10] : (aDimensionOf0(v9) = v10 & aNaturalNumber0(v10) = 0)))
% 36.39/11.47 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8 yields:
% 36.39/11.47 | (1) ~ (all_0_0_0 = 0) & ~ (all_0_7_7 = sz00) & sdtasasdt0(xq, xq) = xD & sdtasasdt0(xp, xq) = xE & sdtasasdt0(xp, xp) = xC & sziznziztdt0(xt) = xq & sziznziztdt0(xs) = xp & sdtlbdtrb0(xt, all_0_7_7) = xB & sdtlbdtrb0(xs, all_0_7_7) = xA & aVector0(xq) = 0 & aVector0(xp) = 0 & aVector0(xt) = 0 & aVector0(xs) = 0 & aDimensionOf0(xq) = all_0_5_5 & aDimensionOf0(xp) = all_0_6_6 & aDimensionOf0(xt) = all_0_7_7 & aDimensionOf0(xs) = all_0_7_7 & sdtlseqdt0(all_0_2_2, xN) = all_0_0_0 & sdtlseqdt0(all_0_4_4, all_0_3_3) = 0 & smndt0(sz0z00) = all_0_8_8 & sdtasdt0(all_0_1_1, all_0_3_3) = xN & sdtasdt0(all_0_1_1, all_0_4_4) = all_0_2_2 & sdtasdt0(xP, xP) = all_0_2_2 & sdtasdt0(xR, xS) = xN & sdtasdt0(xH, xH) = all_0_1_1 & sdtasdt0(xF, xD) = xS & sdtasdt0(xE, xH) = xP & sdtasdt0(xE, xE) = all_0_4_4 & sdtasdt0(xC, xG) = xR & sdtasdt0(xC, xD) = all_0_3_3 & sdtasdt0(xB, xB) = xG & sdtasdt0(xA, xB) = xH & sdtasdt0(xA, xA) = xF & aScalar0(xN) = 0 & aScalar0(xS) = 0 & aScalar0(xP) = 0 & aScalar0(xR) = 0 & aScalar0(xH) = 0 & aScalar0(xG) = 0 & aScalar0(xF) = 0 & aScalar0(xE) = 0 & aScalar0(xD) = 0 & aScalar0(xC) = 0 & aScalar0(xB) = 0 & aScalar0(xA) = 0 & aScalar0(sz0z00) = 0 & szszuzczcdt0(all_0_5_5) = all_0_7_7 & szszuzczcdt0(all_0_6_6) = all_0_7_7 & aNaturalNumber0(sz00) = 0 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (sdtasdt0(v1, v3) = v8) | ~ (sdtasdt0(v1, v2) = v7) | ~ (sdtasdt0(v0, v3) = v5) | ~ (sdtasdt0(v0, v2) = v4) | ~ (sdtpldt0(v7, v8) = v9) | ~ (sdtpldt0(v6, v9) = v10) | ~ (sdtpldt0(v4, v5) = v6) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : (sdtasdt0(v15, v16) = v17 & sdtpldt0(v2, v3) = v16 & sdtpldt0(v0, v1) = v15 & aScalar0(v3) = v14 & aScalar0(v2) = v13 & aScalar0(v1) = v12 & aScalar0(v0) = v11 & ( ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | v17 = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v2 = sz00 | ~ (sdtasasdt0(v3, v4) = v5) | ~ (sziznziztdt0(v1) = v4) | ~ (sziznziztdt0(v0) = v3) | ~ (sdtlbdtrb0(v1, v2) = v7) | ~ (sdtlbdtrb0(v0, v2) = v6) | ~ (aDimensionOf0(v1) = v2) | ~ (aDimensionOf0(v0) = v2) | ~ (sdtasdt0(v6, v7) = v8) | ~ (sdtpldt0(v5, v8) = v9) | ? [v10] : ? [v11] : ? [v12] : (sdtasasdt0(v0, v1) = v12 & aVector0(v1) = v11 & aVector0(v0) = v10 & ( ~ (v11 = 0) | ~ (v10 = 0) | v12 = v9))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = 0 | ~ (sdtasasdt0(v1, v1) = v5) | ~ (sdtasasdt0(v0, v1) = v2) | ~ (sdtasasdt0(v0, v0) = v4) | ~ (sdtlseqdt0(v3, v6) = v7) | ~ (sdtasdt0(v4, v5) = v6) | ~ (sdtasdt0(v2, v2) = v3) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (aVector0(v1) = v9 & aVector0(v0) = v8 & aDimensionOf0(v1) = v11 & aDimensionOf0(v0) = v10 & iLess0(v10, all_0_7_7) = v12 & ( ~ (v12 = 0) | ~ (v11 = v10) | ~ (v9 = 0) | ~ (v8 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (sdtlseqdt0(v4, v5) = v6) | ~ (sdtasdt0(v1, v3) = v5) | ~ (sdtasdt0(v0, v2) = v4) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (sdtlseqdt0(v2, v3) = v13 & sdtlseqdt0(v0, v1) = v11 & sdtlseqdt0(sz0z00, v2) = v12 & aScalar0(v3) = v10 & aScalar0(v2) = v9 & aScalar0(v1) = v8 & aScalar0(v0) = v7 & ( ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (sdtlseqdt0(v4, v5) = v6) | ~ (sdtpldt0(v1, v3) = v5) | ~ (sdtpldt0(v0, v2) = v4) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (sdtlseqdt0(v2, v3) = v12 & sdtlseqdt0(v0, v1) = v11 & aScalar0(v3) = v10 & aScalar0(v2) = v9 & aScalar0(v1) = v8 & aScalar0(v0) = v7 & ( ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (sdtasdt0(v0, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ (sdtpldt0(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (sdtasdt0(v11, v2) = v12 & sdtasdt0(v1, v2) = v13 & sdtasdt0(v0, v9) = v10 & sdtpldt0(v4, v13) = v14 & sdtpldt0(v1, v2) = v9 & sdtpldt0(v0, v1) = v11 & aScalar0(v2) = v8 & aScalar0(v1) = v7 & aScalar0(v0) = v6 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | (v14 = v12 & v10 = v5)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (smndt0(v1) = v3) | ~ (smndt0(v0) = v2) | ~ (sdtasdt0(v2, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : (sdtasdt0(v0, v1) = v7 & aScalar0(v1) = v6 & aScalar0(v0) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0) | v7 = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (sdtasdt0(v11, v2) = v12 & sdtasdt0(v1, v2) = v13 & sdtasdt0(v1, v0) = v15 & sdtasdt0(v0, v13) = v14 & sdtasdt0(v0, v1) = v11 & sdtpldt0(v1, v2) = v8 & sdtpldt0(v1, v0) = v10 & sdtpldt0(v0, v8) = v9 & aScalar0(v2) = v7 & aScalar0(v1) = v6 & aScalar0(v0) = v5 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | (v15 = v11 & v14 = v12 & v10 = v3 & v9 = v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (sdtlseqdt0(v0, v2) = v3) | ~ (sdtlseqdt0(v0, v1) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (sdtlseqdt0(v1, v2) = v7 & aScalar0(v2) = v6 & aScalar0(v1) = v5 & aScalar0(v0) = v4 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtasasdt0(v3, v2) = v1) | ~ (sdtasasdt0(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtlbdtrb0(v3, v2) = v1) | ~ (sdtlbdtrb0(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtlseqdt0(v3, v2) = v1) | ~ (sdtlseqdt0(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtasdt0(v3, v2) = v1) | ~ (sdtasdt0(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (iLess0(v3, v2) = v1) | ~ (iLess0(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sziznziztdt0(v1) = v3) | ~ (sziznziztdt0(v0) = v2) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (aVector0(v1) = v5 & aVector0(v0) = v4 & aDimensionOf0(v3) = v9 & aDimensionOf0(v2) = v8 & aDimensionOf0(v1) = v7 & aDimensionOf0(v0) = v6 & ( ~ (v7 = v6) | ~ (v5 = 0) | ~ (v4 = 0) | v9 = v8 | v6 = sz00))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (smndt0(v0) = v2) | ~ (sdtasdt0(v2, v1) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (smndt0(v8) = v9 & smndt0(v1) = v6 & sdtasdt0(v0, v6) = v7 & sdtasdt0(v0, v1) = v8 & aScalar0(v1) = v5 & aScalar0(v0) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0) | (v9 = v3 & v7 = v3)))) & ! [v0] : ! [v1] : ! [v2] : (v2 = sz0z00 | ~ (sdtasasdt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (aVector0(v1) = v4 & aVector0(v0) = v3 & aDimensionOf0(v1) = v6 & aDimensionOf0(v0) = v5 & ( ~ (v6 = sz00) | ~ (v5 = sz00) | ~ (v4 = 0) | ~ (v3 = 0)))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (sdtlseqdt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (sdtlseqdt0(v1, v0) = v5 & aScalar0(v1) = v4 & aScalar0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (iLess0(v0, v1) = v2) | ~ (szszuzczcdt0(v0) = v1) | ? [v3] : ( ~ (v3 = 0) & aNaturalNumber0(v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (sziznziztdt0(v2) = v1) | ~ (sziznziztdt0(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aVector0(v2) = v1) | ~ (aVector0(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aDimensionOf0(v2) = v1) | ~ (aDimensionOf0(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (smndt0(v2) = v1) | ~ (smndt0(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aScalar0(v2) = v1) | ~ (aScalar0(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (szszuzczcdt0(v2) = v1) | ~ (szszuzczcdt0(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (szszuzczcdt0(v1) = v2) | ~ (szszuzczcdt0(v0) = v2) | ? [v3] : ? [v4] : (aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0)))) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aNaturalNumber0(v2) = v1) | ~ (aNaturalNumber0(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasasdt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (aVector0(v1) = v4 & aVector0(v0) = v3 & aDimensionOf0(v1) = v6 & aDimensionOf0(v0) = v5 & aScalar0(v2) = v7 & ( ~ (v6 = v5) | ~ (v4 = 0) | ~ (v3 = 0) | v7 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtlbdtrb0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (aVector0(v0) = v3 & aScalar0(v2) = v5 & aNaturalNumber0(v1) = v4 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (smndt0(v0) = v1) | ~ (sdtpldt0(v1, v0) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (smndt0(v1) = v9 & sdtasdt0(v0, sz0z00) = v6 & sdtasdt0(sz0z00, v0) = v7 & sdtpldt0(v0, v1) = v8 & sdtpldt0(v0, sz0z00) = v4 & sdtpldt0(sz0z00, v0) = v5 & aScalar0(v0) = v3 & ( ~ (v3 = 0) | (v9 = v0 & v8 = sz0z00 & v7 = sz0z00 & v6 = sz0z00 & v5 = v0 & v4 = v0 & v2 = sz0z00 & all_0_8_8 = sz0z00)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasdt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (aScalar0(v2) = v5 & aScalar0(v1) = v4 & aScalar0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (aScalar0(v2) = v5 & aScalar0(v1) = v4 & aScalar0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (sdtlseqdt0(v0, v1) = 0) | ? [v2] : ? [v3] : ? [v4] : (sdtlseqdt0(v1, v0) = v4 & aScalar0(v1) = v3 & aScalar0(v0) = v2 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (sdtlseqdt0(sz0z00, v1) = 0) | ~ (sdtlseqdt0(sz0z00, v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (sdtasdt0(v1, v1) = v5 & sdtasdt0(v0, v0) = v4 & aScalar0(v1) = v3 & aScalar0(v0) = v2 & ( ~ (v5 = v4) | ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (sdtlseqdt0(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & aScalar0(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (sdtasasdt0(v0, v0) = v1) | ? [v2] : ? [v3] : (aVector0(v0) = v2 & sdtlseqdt0(sz0z00, v1) = v3 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (sziznziztdt0(v0) = v1) | ? [v2] : ? [v3] : (aVector0(v0) = v2 & aDimensionOf0(v0) = v3 & ( ~ (v2 = 0) | v3 = sz00 | ( ! [v4] : ! [v5] : ! [v6] : ( ~ (sdtlbdtrb0(v0, v5) = v6) | ~ (aVector0(v1) = v4) | ? [v7] : ? [v8] : (sdtlbdtrb0(v1, v5) = v8 & aNaturalNumber0(v5) = v7 & ( ~ (v7 = 0) | v8 = v6))) & ! [v4] : (v4 = v1 | ~ (aVector0(v4) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ((v6 = 0 & ~ (v8 = v7) & sdtlbdtrb0(v4, v5) = v7 & sdtlbdtrb0(v0, v5) = v8 & aNaturalNumber0(v5) = 0) | ( ~ (v6 = v3) & aDimensionOf0(v4) = v5 & szszuzczcdt0(v5) = v6))) & ! [v4] : (v4 = 0 | ~ (aVector0(v1) = v4)) & ! [v4] : ( ~ (aVector0(v1) = v4) | ? [v5] : (aDimensionOf0(v1) = v5 & szszuzczcdt0(v5) = v3)))))) & ! [v0] : ! [v1] : ( ~ (sdtlbdtrb0(xp, v0) = v1) | ? [v2] : ? [v3] : (sdtlbdtrb0(xs, v0) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v2 = 0) | v3 = v1))) & ! [v0] : ! [v1] : ( ~ (sdtlbdtrb0(xt, v0) = v1) | ? [v2] : ? [v3] : (sdtlbdtrb0(xq, v0) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v2 = 0) | v3 = v1))) & ! [v0] : ! [v1] : ( ~ (sdtlseqdt0(sz0z00, v1) = 0) | ~ (sdtlseqdt0(sz0z00, v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (sdtlseqdt0(sz0z00, v6) = v7 & sdtlseqdt0(sz0z00, v4) = v5 & sdtasdt0(v0, v1) = v6 & sdtpldt0(v0, v1) = v4 & aScalar0(v1) = v3 & aScalar0(v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | (v7 = 0 & v5 = 0)))) & ! [v0] : ! [v1] : ( ~ (smndt0(v0) = v1) | ? [v2] : ? [v3] : (aScalar0(v1) = v3 & aScalar0(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (sdtasdt0(v0, v0) = v1) | ? [v2] : ? [v3] : (sdtlseqdt0(sz0z00, v1) = v3 & aScalar0(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (szszuzczcdt0(v0) = v1) | ? [v2] : ? [v3] : (aNaturalNumber0(v1) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v2 = 0) | (v3 = 0 & ~ (v1 = sz00))))) & ! [v0] : (v0 = sz00 | ~ (aNaturalNumber0(v0) = 0) | ? [v1] : (szszuzczcdt0(v1) = v0 & aNaturalNumber0(v1) = 0)) & ! [v0] : ( ~ (aVector0(v0) = 0) | ? [v1] : (aDimensionOf0(v0) = v1 & aNaturalNumber0(v1) = 0))
% 36.39/11.49 |
% 36.39/11.49 | Applying alpha-rule on (1) yields:
% 36.39/11.49 | (2) aScalar0(xN) = 0
% 36.39/11.49 | (3) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sziznziztdt0(v1) = v3) | ~ (sziznziztdt0(v0) = v2) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (aVector0(v1) = v5 & aVector0(v0) = v4 & aDimensionOf0(v3) = v9 & aDimensionOf0(v2) = v8 & aDimensionOf0(v1) = v7 & aDimensionOf0(v0) = v6 & ( ~ (v7 = v6) | ~ (v5 = 0) | ~ (v4 = 0) | v9 = v8 | v6 = sz00)))
% 36.39/11.49 | (4) aScalar0(xH) = 0
% 36.39/11.49 | (5) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (sdtasdt0(v0, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ (sdtpldt0(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (sdtasdt0(v11, v2) = v12 & sdtasdt0(v1, v2) = v13 & sdtasdt0(v0, v9) = v10 & sdtpldt0(v4, v13) = v14 & sdtpldt0(v1, v2) = v9 & sdtpldt0(v0, v1) = v11 & aScalar0(v2) = v8 & aScalar0(v1) = v7 & aScalar0(v0) = v6 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | (v14 = v12 & v10 = v5))))
% 36.48/11.49 | (6) sdtasdt0(xE, xH) = xP
% 36.48/11.49 | (7) aDimensionOf0(xs) = all_0_7_7
% 36.48/11.50 | (8) aScalar0(xA) = 0
% 36.48/11.50 | (9) aNaturalNumber0(sz00) = 0
% 36.48/11.50 | (10) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0))
% 36.48/11.50 | (11) sdtlseqdt0(all_0_4_4, all_0_3_3) = 0
% 36.48/11.50 | (12) sdtlseqdt0(all_0_2_2, xN) = all_0_0_0
% 36.48/11.50 | (13) ! [v0] : ! [v1] : ( ~ (sdtlbdtrb0(xp, v0) = v1) | ? [v2] : ? [v3] : (sdtlbdtrb0(xs, v0) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v2 = 0) | v3 = v1)))
% 36.48/11.50 | (14) ! [v0] : (v0 = sz00 | ~ (aNaturalNumber0(v0) = 0) | ? [v1] : (szszuzczcdt0(v1) = v0 & aNaturalNumber0(v1) = 0))
% 36.48/11.50 | (15) ! [v0] : ! [v1] : (v1 = v0 | ~ (sdtlseqdt0(sz0z00, v1) = 0) | ~ (sdtlseqdt0(sz0z00, v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (sdtasdt0(v1, v1) = v5 & sdtasdt0(v0, v0) = v4 & aScalar0(v1) = v3 & aScalar0(v0) = v2 & ( ~ (v5 = v4) | ~ (v3 = 0) | ~ (v2 = 0))))
% 36.48/11.50 | (16) ! [v0] : ! [v1] : ( ~ (sdtlseqdt0(sz0z00, v1) = 0) | ~ (sdtlseqdt0(sz0z00, v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (sdtlseqdt0(sz0z00, v6) = v7 & sdtlseqdt0(sz0z00, v4) = v5 & sdtasdt0(v0, v1) = v6 & sdtpldt0(v0, v1) = v4 & aScalar0(v1) = v3 & aScalar0(v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | (v7 = 0 & v5 = 0))))
% 36.48/11.50 | (17) ! [v0] : ! [v1] : ( ~ (sdtasdt0(v0, v0) = v1) | ? [v2] : ? [v3] : (sdtlseqdt0(sz0z00, v1) = v3 & aScalar0(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 36.48/11.50 | (18) aVector0(xp) = 0
% 36.48/11.50 | (19) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasdt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (aScalar0(v2) = v5 & aScalar0(v1) = v4 & aScalar0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0)))
% 36.48/11.50 | (20) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (sdtlseqdt0(v4, v5) = v6) | ~ (sdtpldt0(v1, v3) = v5) | ~ (sdtpldt0(v0, v2) = v4) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (sdtlseqdt0(v2, v3) = v12 & sdtlseqdt0(v0, v1) = v11 & aScalar0(v3) = v10 & aScalar0(v2) = v9 & aScalar0(v1) = v8 & aScalar0(v0) = v7 & ( ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0))))
% 36.48/11.50 | (21) ! [v0] : ! [v1] : ( ~ (szszuzczcdt0(v0) = v1) | ? [v2] : ? [v3] : (aNaturalNumber0(v1) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v2 = 0) | (v3 = 0 & ~ (v1 = sz00)))))
% 36.48/11.50 | (22) aDimensionOf0(xp) = all_0_6_6
% 36.48/11.50 | (23) ! [v0] : ! [v1] : ( ~ (sziznziztdt0(v0) = v1) | ? [v2] : ? [v3] : (aVector0(v0) = v2 & aDimensionOf0(v0) = v3 & ( ~ (v2 = 0) | v3 = sz00 | ( ! [v4] : ! [v5] : ! [v6] : ( ~ (sdtlbdtrb0(v0, v5) = v6) | ~ (aVector0(v1) = v4) | ? [v7] : ? [v8] : (sdtlbdtrb0(v1, v5) = v8 & aNaturalNumber0(v5) = v7 & ( ~ (v7 = 0) | v8 = v6))) & ! [v4] : (v4 = v1 | ~ (aVector0(v4) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ((v6 = 0 & ~ (v8 = v7) & sdtlbdtrb0(v4, v5) = v7 & sdtlbdtrb0(v0, v5) = v8 & aNaturalNumber0(v5) = 0) | ( ~ (v6 = v3) & aDimensionOf0(v4) = v5 & szszuzczcdt0(v5) = v6))) & ! [v4] : (v4 = 0 | ~ (aVector0(v1) = v4)) & ! [v4] : ( ~ (aVector0(v1) = v4) | ? [v5] : (aDimensionOf0(v1) = v5 & szszuzczcdt0(v5) = v3))))))
% 36.48/11.50 | (24) aScalar0(xR) = 0
% 36.48/11.50 | (25) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtasdt0(v3, v2) = v1) | ~ (sdtasdt0(v3, v2) = v0))
% 36.48/11.50 | (26) aVector0(xq) = 0
% 36.48/11.50 | (27) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (sdtlseqdt0(v0, v2) = v3) | ~ (sdtlseqdt0(v0, v1) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (sdtlseqdt0(v1, v2) = v7 & aScalar0(v2) = v6 & aScalar0(v1) = v5 & aScalar0(v0) = v4 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0))))
% 36.48/11.50 | (28) aScalar0(xD) = 0
% 36.48/11.50 | (29) aScalar0(xF) = 0
% 36.48/11.50 | (30) aDimensionOf0(xq) = all_0_5_5
% 36.48/11.50 | (31) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (iLess0(v3, v2) = v1) | ~ (iLess0(v3, v2) = v0))
% 36.48/11.50 | (32) sdtasdt0(xH, xH) = all_0_1_1
% 36.48/11.50 | (33) sdtasdt0(all_0_1_1, all_0_4_4) = all_0_2_2
% 36.48/11.50 | (34) aScalar0(xG) = 0
% 36.48/11.50 | (35) sdtasdt0(all_0_1_1, all_0_3_3) = xN
% 36.48/11.50 | (36) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aVector0(v2) = v1) | ~ (aVector0(v2) = v0))
% 36.48/11.50 | (37) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (sdtasdt0(v1, v3) = v8) | ~ (sdtasdt0(v1, v2) = v7) | ~ (sdtasdt0(v0, v3) = v5) | ~ (sdtasdt0(v0, v2) = v4) | ~ (sdtpldt0(v7, v8) = v9) | ~ (sdtpldt0(v6, v9) = v10) | ~ (sdtpldt0(v4, v5) = v6) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : (sdtasdt0(v15, v16) = v17 & sdtpldt0(v2, v3) = v16 & sdtpldt0(v0, v1) = v15 & aScalar0(v3) = v14 & aScalar0(v2) = v13 & aScalar0(v1) = v12 & aScalar0(v0) = v11 & ( ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | v17 = v10)))
% 36.48/11.50 | (38) sdtasdt0(xA, xA) = xF
% 36.48/11.50 | (39) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (aScalar0(v2) = v5 & aScalar0(v1) = v4 & aScalar0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0)))
% 36.48/11.50 | (40) ! [v0] : ! [v1] : ( ~ (smndt0(v0) = v1) | ? [v2] : ? [v3] : (aScalar0(v1) = v3 & aScalar0(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 36.48/11.50 | (41) szszuzczcdt0(all_0_5_5) = all_0_7_7
% 36.48/11.50 | (42) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v2 = sz00 | ~ (sdtasasdt0(v3, v4) = v5) | ~ (sziznziztdt0(v1) = v4) | ~ (sziznziztdt0(v0) = v3) | ~ (sdtlbdtrb0(v1, v2) = v7) | ~ (sdtlbdtrb0(v0, v2) = v6) | ~ (aDimensionOf0(v1) = v2) | ~ (aDimensionOf0(v0) = v2) | ~ (sdtasdt0(v6, v7) = v8) | ~ (sdtpldt0(v5, v8) = v9) | ? [v10] : ? [v11] : ? [v12] : (sdtasasdt0(v0, v1) = v12 & aVector0(v1) = v11 & aVector0(v0) = v10 & ( ~ (v11 = 0) | ~ (v10 = 0) | v12 = v9)))
% 36.48/11.51 | (43) sziznziztdt0(xs) = xp
% 36.48/11.51 | (44) aScalar0(xP) = 0
% 36.48/11.51 | (45) sdtasasdt0(xq, xq) = xD
% 36.48/11.51 | (46) ~ (all_0_7_7 = sz00)
% 36.48/11.51 | (47) sdtasdt0(xF, xD) = xS
% 36.48/11.51 | (48) ! [v0] : ! [v1] : ( ~ (sdtasasdt0(v0, v0) = v1) | ? [v2] : ? [v3] : (aVector0(v0) = v2 & sdtlseqdt0(sz0z00, v1) = v3 & ( ~ (v2 = 0) | v3 = 0)))
% 36.48/11.51 | (49) aScalar0(xC) = 0
% 36.48/11.51 | (50) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtasasdt0(v3, v2) = v1) | ~ (sdtasasdt0(v3, v2) = v0))
% 36.48/11.51 | (51) sdtasdt0(xC, xG) = xR
% 36.48/11.51 | (52) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasasdt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (aVector0(v1) = v4 & aVector0(v0) = v3 & aDimensionOf0(v1) = v6 & aDimensionOf0(v0) = v5 & aScalar0(v2) = v7 & ( ~ (v6 = v5) | ~ (v4 = 0) | ~ (v3 = 0) | v7 = 0)))
% 36.48/11.51 | (53) aScalar0(xB) = 0
% 36.48/11.51 | (54) aVector0(xt) = 0
% 36.48/11.51 | (55) sdtasdt0(xA, xB) = xH
% 36.48/11.51 | (56) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (iLess0(v0, v1) = v2) | ~ (szszuzczcdt0(v0) = v1) | ? [v3] : ( ~ (v3 = 0) & aNaturalNumber0(v0) = v3))
% 36.48/11.51 | (57) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aScalar0(v2) = v1) | ~ (aScalar0(v2) = v0))
% 36.48/11.51 | (58) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtlseqdt0(v3, v2) = v1) | ~ (sdtlseqdt0(v3, v2) = v0))
% 36.48/11.51 | (59) sziznziztdt0(xt) = xq
% 36.48/11.51 | (60) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aDimensionOf0(v2) = v1) | ~ (aDimensionOf0(v2) = v0))
% 36.48/11.51 | (61) sdtasdt0(xB, xB) = xG
% 36.48/11.51 | (62) ! [v0] : ! [v1] : (v1 = 0 | ~ (sdtlseqdt0(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & aScalar0(v0) = v2))
% 36.48/11.51 | (63) ! [v0] : ( ~ (aVector0(v0) = 0) | ? [v1] : (aDimensionOf0(v0) = v1 & aNaturalNumber0(v1) = 0))
% 36.48/11.51 | (64) aScalar0(sz0z00) = 0
% 36.48/11.51 | (65) sdtlbdtrb0(xs, all_0_7_7) = xA
% 36.48/11.51 | (66) aScalar0(xE) = 0
% 36.48/11.51 | (67) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (smndt0(v1) = v3) | ~ (smndt0(v0) = v2) | ~ (sdtasdt0(v2, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : (sdtasdt0(v0, v1) = v7 & aScalar0(v1) = v6 & aScalar0(v0) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0) | v7 = v4)))
% 36.48/11.51 | (68) sdtasdt0(xC, xD) = all_0_3_3
% 36.48/11.51 | (69) sdtasasdt0(xp, xp) = xC
% 36.48/11.51 | (70) ! [v0] : ! [v1] : ! [v2] : (v2 = sz0z00 | ~ (sdtasasdt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (aVector0(v1) = v4 & aVector0(v0) = v3 & aDimensionOf0(v1) = v6 & aDimensionOf0(v0) = v5 & ( ~ (v6 = sz00) | ~ (v5 = sz00) | ~ (v4 = 0) | ~ (v3 = 0))))
% 36.48/11.51 | (71) aScalar0(xS) = 0
% 36.48/11.51 | (72) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (sdtasdt0(v11, v2) = v12 & sdtasdt0(v1, v2) = v13 & sdtasdt0(v1, v0) = v15 & sdtasdt0(v0, v13) = v14 & sdtasdt0(v0, v1) = v11 & sdtpldt0(v1, v2) = v8 & sdtpldt0(v1, v0) = v10 & sdtpldt0(v0, v8) = v9 & aScalar0(v2) = v7 & aScalar0(v1) = v6 & aScalar0(v0) = v5 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | (v15 = v11 & v14 = v12 & v10 = v3 & v9 = v4))))
% 36.48/11.51 | (73) sdtasasdt0(xp, xq) = xE
% 36.48/11.51 | (74) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = 0 | ~ (sdtasasdt0(v1, v1) = v5) | ~ (sdtasasdt0(v0, v1) = v2) | ~ (sdtasasdt0(v0, v0) = v4) | ~ (sdtlseqdt0(v3, v6) = v7) | ~ (sdtasdt0(v4, v5) = v6) | ~ (sdtasdt0(v2, v2) = v3) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (aVector0(v1) = v9 & aVector0(v0) = v8 & aDimensionOf0(v1) = v11 & aDimensionOf0(v0) = v10 & iLess0(v10, all_0_7_7) = v12 & ( ~ (v12 = 0) | ~ (v11 = v10) | ~ (v9 = 0) | ~ (v8 = 0))))
% 36.48/11.51 | (75) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (smndt0(v0) = v2) | ~ (sdtasdt0(v2, v1) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (smndt0(v8) = v9 & smndt0(v1) = v6 & sdtasdt0(v0, v6) = v7 & sdtasdt0(v0, v1) = v8 & aScalar0(v1) = v5 & aScalar0(v0) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0) | (v9 = v3 & v7 = v3))))
% 36.48/11.51 | (76) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (szszuzczcdt0(v1) = v2) | ~ (szszuzczcdt0(v0) = v2) | ? [v3] : ? [v4] : (aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0))))
% 36.48/11.51 | (77) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (sziznziztdt0(v2) = v1) | ~ (sziznziztdt0(v2) = v0))
% 36.48/11.51 | (78) aVector0(xs) = 0
% 36.48/11.51 | (79) ! [v0] : ! [v1] : (v1 = v0 | ~ (sdtlseqdt0(v0, v1) = 0) | ? [v2] : ? [v3] : ? [v4] : (sdtlseqdt0(v1, v0) = v4 & aScalar0(v1) = v3 & aScalar0(v0) = v2 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0))))
% 36.48/11.51 | (80) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtlbdtrb0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (aVector0(v0) = v3 & aScalar0(v2) = v5 & aNaturalNumber0(v1) = v4 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0)))
% 36.48/11.51 | (81) sdtasdt0(xR, xS) = xN
% 36.48/11.51 | (82) ! [v0] : ! [v1] : ( ~ (sdtlbdtrb0(xt, v0) = v1) | ? [v2] : ? [v3] : (sdtlbdtrb0(xq, v0) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v2 = 0) | v3 = v1)))
% 36.48/11.51 | (83) sdtlbdtrb0(xt, all_0_7_7) = xB
% 36.48/11.51 | (84) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (sdtlseqdt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (sdtlseqdt0(v1, v0) = v5 & aScalar0(v1) = v4 & aScalar0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0)))
% 36.48/11.51 | (85) ~ (all_0_0_0 = 0)
% 36.48/11.51 | (86) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (sdtlseqdt0(v4, v5) = v6) | ~ (sdtasdt0(v1, v3) = v5) | ~ (sdtasdt0(v0, v2) = v4) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (sdtlseqdt0(v2, v3) = v13 & sdtlseqdt0(v0, v1) = v11 & sdtlseqdt0(sz0z00, v2) = v12 & aScalar0(v3) = v10 & aScalar0(v2) = v9 & aScalar0(v1) = v8 & aScalar0(v0) = v7 & ( ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0))))
% 36.48/11.52 | (87) smndt0(sz0z00) = all_0_8_8
% 36.48/11.52 | (88) ! [v0] : ! [v1] : ! [v2] : ( ~ (smndt0(v0) = v1) | ~ (sdtpldt0(v1, v0) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (smndt0(v1) = v9 & sdtasdt0(v0, sz0z00) = v6 & sdtasdt0(sz0z00, v0) = v7 & sdtpldt0(v0, v1) = v8 & sdtpldt0(v0, sz0z00) = v4 & sdtpldt0(sz0z00, v0) = v5 & aScalar0(v0) = v3 & ( ~ (v3 = 0) | (v9 = v0 & v8 = sz0z00 & v7 = sz0z00 & v6 = sz0z00 & v5 = v0 & v4 = v0 & v2 = sz0z00 & all_0_8_8 = sz0z00))))
% 36.48/11.52 | (89) szszuzczcdt0(all_0_6_6) = all_0_7_7
% 36.48/11.52 | (90) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtlbdtrb0(v3, v2) = v1) | ~ (sdtlbdtrb0(v3, v2) = v0))
% 36.48/11.52 | (91) sdtasdt0(xE, xE) = all_0_4_4
% 36.48/11.52 | (92) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aNaturalNumber0(v2) = v1) | ~ (aNaturalNumber0(v2) = v0))
% 36.48/11.52 | (93) sdtasdt0(xP, xP) = all_0_2_2
% 36.48/11.52 | (94) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (smndt0(v2) = v1) | ~ (smndt0(v2) = v0))
% 36.48/11.52 | (95) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (szszuzczcdt0(v2) = v1) | ~ (szszuzczcdt0(v2) = v0))
% 36.48/11.52 | (96) aDimensionOf0(xt) = all_0_7_7
% 36.48/11.52 |
% 36.48/11.52 | Instantiating formula (48) with xD, xq and discharging atoms sdtasasdt0(xq, xq) = xD, yields:
% 36.48/11.52 | (97) ? [v0] : ? [v1] : (aVector0(xq) = v0 & sdtlseqdt0(sz0z00, xD) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 36.48/11.52 |
% 36.48/11.52 | Instantiating formula (48) with xC, xp and discharging atoms sdtasasdt0(xp, xp) = xC, yields:
% 36.48/11.52 | (98) ? [v0] : ? [v1] : (aVector0(xp) = v0 & sdtlseqdt0(sz0z00, xC) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 36.48/11.52 |
% 36.48/11.52 | Instantiating formula (80) with xB, all_0_7_7, xt and discharging atoms sdtlbdtrb0(xt, all_0_7_7) = xB, yields:
% 36.48/11.52 | (99) ? [v0] : ? [v1] : ? [v2] : (aVector0(xt) = v0 & aScalar0(xB) = v2 & aNaturalNumber0(all_0_7_7) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 36.48/11.52 |
% 36.48/11.52 | Instantiating formula (80) with xA, all_0_7_7, xs and discharging atoms sdtlbdtrb0(xs, all_0_7_7) = xA, yields:
% 36.48/11.52 | (100) ? [v0] : ? [v1] : ? [v2] : (aVector0(xs) = v0 & aScalar0(xA) = v2 & aNaturalNumber0(all_0_7_7) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 36.48/11.52 |
% 36.48/11.52 | Instantiating formula (84) with all_0_0_0, xN, all_0_2_2 and discharging atoms sdtlseqdt0(all_0_2_2, xN) = all_0_0_0, yields:
% 36.48/11.52 | (101) all_0_0_0 = 0 | ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(xN, all_0_2_2) = v2 & aScalar0(all_0_2_2) = v0 & aScalar0(xN) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 36.48/11.52 |
% 36.48/11.52 | Instantiating formula (19) with xN, all_0_3_3, all_0_1_1 and discharging atoms sdtasdt0(all_0_1_1, all_0_3_3) = xN, yields:
% 36.48/11.52 | (102) ? [v0] : ? [v1] : ? [v2] : (aScalar0(all_0_1_1) = v0 & aScalar0(all_0_3_3) = v1 & aScalar0(xN) = v2 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 36.48/11.52 |
% 36.48/11.52 | Instantiating formula (86) with all_0_0_0, xN, all_0_2_2, all_0_3_3, all_0_4_4, all_0_1_1, all_0_1_1 and discharging atoms sdtlseqdt0(all_0_2_2, xN) = all_0_0_0, sdtasdt0(all_0_1_1, all_0_3_3) = xN, sdtasdt0(all_0_1_1, all_0_4_4) = all_0_2_2, yields:
% 36.48/11.52 | (103) all_0_0_0 = 0 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (sdtlseqdt0(all_0_1_1, all_0_1_1) = v4 & sdtlseqdt0(all_0_4_4, all_0_3_3) = v6 & sdtlseqdt0(sz0z00, all_0_4_4) = v5 & aScalar0(all_0_1_1) = v1 & aScalar0(all_0_1_1) = v0 & aScalar0(all_0_3_3) = v3 & aScalar0(all_0_4_4) = v2 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 36.48/11.52 |
% 36.48/11.52 | Instantiating formula (19) with all_0_2_2, all_0_4_4, all_0_1_1 and discharging atoms sdtasdt0(all_0_1_1, all_0_4_4) = all_0_2_2, yields:
% 36.48/11.52 | (104) ? [v0] : ? [v1] : ? [v2] : (aScalar0(all_0_1_1) = v0 & aScalar0(all_0_2_2) = v2 & aScalar0(all_0_4_4) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 36.48/11.52 |
% 36.48/11.52 | Instantiating formula (86) with all_0_0_0, xN, all_0_2_2, all_0_3_3, xP, all_0_1_1, xP and discharging atoms sdtlseqdt0(all_0_2_2, xN) = all_0_0_0, sdtasdt0(all_0_1_1, all_0_3_3) = xN, sdtasdt0(xP, xP) = all_0_2_2, yields:
% 36.48/11.52 | (105) all_0_0_0 = 0 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (sdtlseqdt0(xP, all_0_1_1) = v4 & sdtlseqdt0(xP, all_0_3_3) = v6 & sdtlseqdt0(sz0z00, xP) = v5 & aScalar0(all_0_1_1) = v1 & aScalar0(all_0_3_3) = v3 & aScalar0(xP) = v2 & aScalar0(xP) = v0 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 36.48/11.52 |
% 36.48/11.52 | Instantiating formula (17) with all_0_2_2, xP and discharging atoms sdtasdt0(xP, xP) = all_0_2_2, yields:
% 36.48/11.52 | (106) ? [v0] : ? [v1] : (sdtlseqdt0(sz0z00, all_0_2_2) = v1 & aScalar0(xP) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 36.63/11.52 |
% 36.63/11.52 | Instantiating formula (86) with all_0_0_0, xN, all_0_2_2, xS, all_0_4_4, xR, all_0_1_1 and discharging atoms sdtlseqdt0(all_0_2_2, xN) = all_0_0_0, sdtasdt0(all_0_1_1, all_0_4_4) = all_0_2_2, sdtasdt0(xR, xS) = xN, yields:
% 36.63/11.52 | (107) all_0_0_0 = 0 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (sdtlseqdt0(all_0_1_1, xR) = v4 & sdtlseqdt0(all_0_4_4, xS) = v6 & sdtlseqdt0(sz0z00, all_0_4_4) = v5 & aScalar0(all_0_1_1) = v0 & aScalar0(all_0_4_4) = v2 & aScalar0(xS) = v3 & aScalar0(xR) = v1 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 36.63/11.52 |
% 36.63/11.52 | Instantiating formula (86) with all_0_0_0, xN, all_0_2_2, xS, xP, xR, xP and discharging atoms sdtlseqdt0(all_0_2_2, xN) = all_0_0_0, sdtasdt0(xP, xP) = all_0_2_2, sdtasdt0(xR, xS) = xN, yields:
% 36.63/11.52 | (108) all_0_0_0 = 0 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (sdtlseqdt0(xP, xS) = v6 & sdtlseqdt0(xP, xR) = v4 & sdtlseqdt0(sz0z00, xP) = v5 & aScalar0(xS) = v3 & aScalar0(xP) = v2 & aScalar0(xP) = v0 & aScalar0(xR) = v1 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 36.63/11.52 |
% 36.63/11.52 | Instantiating formula (17) with all_0_1_1, xH and discharging atoms sdtasdt0(xH, xH) = all_0_1_1, yields:
% 36.63/11.53 | (109) ? [v0] : ? [v1] : (sdtlseqdt0(sz0z00, all_0_1_1) = v1 & aScalar0(xH) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 36.63/11.53 |
% 36.63/11.53 | Instantiating formula (19) with all_0_1_1, xH, xH and discharging atoms sdtasdt0(xH, xH) = all_0_1_1, yields:
% 36.63/11.53 | (110) ? [v0] : ? [v1] : ? [v2] : (aScalar0(all_0_1_1) = v2 & aScalar0(xH) = v1 & aScalar0(xH) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 36.63/11.53 |
% 36.63/11.53 | Instantiating formula (17) with all_0_4_4, xE and discharging atoms sdtasdt0(xE, xE) = all_0_4_4, yields:
% 36.63/11.53 | (111) ? [v0] : ? [v1] : (sdtlseqdt0(sz0z00, all_0_4_4) = v1 & aScalar0(xE) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 36.63/11.53 |
% 36.63/11.53 | Instantiating formula (19) with all_0_4_4, xE, xE and discharging atoms sdtasdt0(xE, xE) = all_0_4_4, yields:
% 36.63/11.53 | (112) ? [v0] : ? [v1] : ? [v2] : (aScalar0(all_0_4_4) = v2 & aScalar0(xE) = v1 & aScalar0(xE) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 36.63/11.53 |
% 36.63/11.53 | Instantiating formula (19) with all_0_3_3, xD, xC and discharging atoms sdtasdt0(xC, xD) = all_0_3_3, yields:
% 36.63/11.53 | (113) ? [v0] : ? [v1] : ? [v2] : (aScalar0(all_0_3_3) = v2 & aScalar0(xD) = v1 & aScalar0(xC) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 36.63/11.53 |
% 36.63/11.53 | Instantiating formula (17) with xG, xB and discharging atoms sdtasdt0(xB, xB) = xG, yields:
% 36.63/11.53 | (114) ? [v0] : ? [v1] : (sdtlseqdt0(sz0z00, xG) = v1 & aScalar0(xB) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 36.63/11.53 |
% 36.63/11.53 | Instantiating formula (17) with xF, xA and discharging atoms sdtasdt0(xA, xA) = xF, yields:
% 36.63/11.53 | (115) ? [v0] : ? [v1] : (sdtlseqdt0(sz0z00, xF) = v1 & aScalar0(xA) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 36.63/11.53 |
% 36.63/11.53 | Instantiating (112) with all_10_0_11, all_10_1_12, all_10_2_13 yields:
% 36.63/11.53 | (116) aScalar0(all_0_4_4) = all_10_0_11 & aScalar0(xE) = all_10_1_12 & aScalar0(xE) = all_10_2_13 & ( ~ (all_10_1_12 = 0) | ~ (all_10_2_13 = 0) | all_10_0_11 = 0)
% 36.63/11.53 |
% 36.63/11.53 | Applying alpha-rule on (116) yields:
% 36.63/11.53 | (117) aScalar0(all_0_4_4) = all_10_0_11
% 36.63/11.53 | (118) aScalar0(xE) = all_10_1_12
% 36.63/11.53 | (119) aScalar0(xE) = all_10_2_13
% 36.63/11.53 | (120) ~ (all_10_1_12 = 0) | ~ (all_10_2_13 = 0) | all_10_0_11 = 0
% 36.63/11.53 |
% 36.63/11.53 | Instantiating (111) with all_12_0_14, all_12_1_15 yields:
% 36.63/11.53 | (121) sdtlseqdt0(sz0z00, all_0_4_4) = all_12_0_14 & aScalar0(xE) = all_12_1_15 & ( ~ (all_12_1_15 = 0) | all_12_0_14 = 0)
% 36.63/11.53 |
% 36.63/11.53 | Applying alpha-rule on (121) yields:
% 36.63/11.53 | (122) sdtlseqdt0(sz0z00, all_0_4_4) = all_12_0_14
% 36.63/11.53 | (123) aScalar0(xE) = all_12_1_15
% 36.63/11.53 | (124) ~ (all_12_1_15 = 0) | all_12_0_14 = 0
% 36.63/11.53 |
% 36.63/11.53 | Instantiating (102) with all_18_0_21, all_18_1_22, all_18_2_23 yields:
% 36.63/11.53 | (125) aScalar0(all_0_1_1) = all_18_2_23 & aScalar0(all_0_3_3) = all_18_1_22 & aScalar0(xN) = all_18_0_21 & ( ~ (all_18_1_22 = 0) | ~ (all_18_2_23 = 0) | all_18_0_21 = 0)
% 36.63/11.53 |
% 36.63/11.53 | Applying alpha-rule on (125) yields:
% 36.63/11.53 | (126) aScalar0(all_0_1_1) = all_18_2_23
% 36.63/11.53 | (127) aScalar0(all_0_3_3) = all_18_1_22
% 36.63/11.53 | (128) aScalar0(xN) = all_18_0_21
% 36.63/11.53 | (129) ~ (all_18_1_22 = 0) | ~ (all_18_2_23 = 0) | all_18_0_21 = 0
% 36.63/11.53 |
% 36.63/11.53 | Instantiating (115) with all_22_0_26, all_22_1_27 yields:
% 36.63/11.53 | (130) sdtlseqdt0(sz0z00, xF) = all_22_0_26 & aScalar0(xA) = all_22_1_27 & ( ~ (all_22_1_27 = 0) | all_22_0_26 = 0)
% 36.63/11.53 |
% 36.63/11.53 | Applying alpha-rule on (130) yields:
% 36.63/11.53 | (131) sdtlseqdt0(sz0z00, xF) = all_22_0_26
% 36.63/11.53 | (132) aScalar0(xA) = all_22_1_27
% 36.63/11.53 | (133) ~ (all_22_1_27 = 0) | all_22_0_26 = 0
% 36.63/11.53 |
% 36.63/11.53 | Instantiating (110) with all_24_0_28, all_24_1_29, all_24_2_30 yields:
% 36.63/11.53 | (134) aScalar0(all_0_1_1) = all_24_0_28 & aScalar0(xH) = all_24_1_29 & aScalar0(xH) = all_24_2_30 & ( ~ (all_24_1_29 = 0) | ~ (all_24_2_30 = 0) | all_24_0_28 = 0)
% 36.63/11.53 |
% 36.63/11.53 | Applying alpha-rule on (134) yields:
% 36.63/11.53 | (135) aScalar0(all_0_1_1) = all_24_0_28
% 36.63/11.53 | (136) aScalar0(xH) = all_24_1_29
% 36.63/11.53 | (137) aScalar0(xH) = all_24_2_30
% 36.63/11.53 | (138) ~ (all_24_1_29 = 0) | ~ (all_24_2_30 = 0) | all_24_0_28 = 0
% 36.63/11.53 |
% 36.63/11.53 | Instantiating (109) with all_26_0_31, all_26_1_32 yields:
% 36.63/11.53 | (139) sdtlseqdt0(sz0z00, all_0_1_1) = all_26_0_31 & aScalar0(xH) = all_26_1_32 & ( ~ (all_26_1_32 = 0) | all_26_0_31 = 0)
% 36.63/11.53 |
% 36.63/11.53 | Applying alpha-rule on (139) yields:
% 36.63/11.53 | (140) sdtlseqdt0(sz0z00, all_0_1_1) = all_26_0_31
% 36.63/11.53 | (141) aScalar0(xH) = all_26_1_32
% 36.63/11.53 | (142) ~ (all_26_1_32 = 0) | all_26_0_31 = 0
% 36.63/11.53 |
% 36.63/11.53 | Instantiating (106) with all_36_0_37, all_36_1_38 yields:
% 36.63/11.53 | (143) sdtlseqdt0(sz0z00, all_0_2_2) = all_36_0_37 & aScalar0(xP) = all_36_1_38 & ( ~ (all_36_1_38 = 0) | all_36_0_37 = 0)
% 36.63/11.53 |
% 36.63/11.53 | Applying alpha-rule on (143) yields:
% 36.63/11.53 | (144) sdtlseqdt0(sz0z00, all_0_2_2) = all_36_0_37
% 36.63/11.53 | (145) aScalar0(xP) = all_36_1_38
% 36.63/11.53 | (146) ~ (all_36_1_38 = 0) | all_36_0_37 = 0
% 36.63/11.53 |
% 36.63/11.53 | Instantiating (114) with all_38_0_39, all_38_1_40 yields:
% 36.63/11.53 | (147) sdtlseqdt0(sz0z00, xG) = all_38_0_39 & aScalar0(xB) = all_38_1_40 & ( ~ (all_38_1_40 = 0) | all_38_0_39 = 0)
% 36.63/11.53 |
% 36.63/11.53 | Applying alpha-rule on (147) yields:
% 36.63/11.53 | (148) sdtlseqdt0(sz0z00, xG) = all_38_0_39
% 36.63/11.53 | (149) aScalar0(xB) = all_38_1_40
% 36.63/11.53 | (150) ~ (all_38_1_40 = 0) | all_38_0_39 = 0
% 36.63/11.53 |
% 36.63/11.53 | Instantiating (113) with all_40_0_41, all_40_1_42, all_40_2_43 yields:
% 36.63/11.53 | (151) aScalar0(all_0_3_3) = all_40_0_41 & aScalar0(xD) = all_40_1_42 & aScalar0(xC) = all_40_2_43 & ( ~ (all_40_1_42 = 0) | ~ (all_40_2_43 = 0) | all_40_0_41 = 0)
% 36.63/11.53 |
% 36.63/11.53 | Applying alpha-rule on (151) yields:
% 36.63/11.53 | (152) aScalar0(all_0_3_3) = all_40_0_41
% 36.63/11.53 | (153) aScalar0(xD) = all_40_1_42
% 36.63/11.53 | (154) aScalar0(xC) = all_40_2_43
% 36.63/11.53 | (155) ~ (all_40_1_42 = 0) | ~ (all_40_2_43 = 0) | all_40_0_41 = 0
% 36.63/11.53 |
% 36.63/11.53 | Instantiating (104) with all_42_0_44, all_42_1_45, all_42_2_46 yields:
% 36.63/11.53 | (156) aScalar0(all_0_1_1) = all_42_2_46 & aScalar0(all_0_2_2) = all_42_0_44 & aScalar0(all_0_4_4) = all_42_1_45 & ( ~ (all_42_1_45 = 0) | ~ (all_42_2_46 = 0) | all_42_0_44 = 0)
% 36.63/11.53 |
% 36.63/11.53 | Applying alpha-rule on (156) yields:
% 36.63/11.53 | (157) aScalar0(all_0_1_1) = all_42_2_46
% 36.63/11.53 | (158) aScalar0(all_0_2_2) = all_42_0_44
% 36.63/11.53 | (159) aScalar0(all_0_4_4) = all_42_1_45
% 36.63/11.54 | (160) ~ (all_42_1_45 = 0) | ~ (all_42_2_46 = 0) | all_42_0_44 = 0
% 36.63/11.54 |
% 36.63/11.54 | Instantiating (100) with all_44_0_47, all_44_1_48, all_44_2_49 yields:
% 36.63/11.54 | (161) aVector0(xs) = all_44_2_49 & aScalar0(xA) = all_44_0_47 & aNaturalNumber0(all_0_7_7) = all_44_1_48 & ( ~ (all_44_1_48 = 0) | ~ (all_44_2_49 = 0) | all_44_0_47 = 0)
% 36.63/11.54 |
% 36.63/11.54 | Applying alpha-rule on (161) yields:
% 36.63/11.54 | (162) aVector0(xs) = all_44_2_49
% 36.63/11.54 | (163) aScalar0(xA) = all_44_0_47
% 36.63/11.54 | (164) aNaturalNumber0(all_0_7_7) = all_44_1_48
% 36.63/11.54 | (165) ~ (all_44_1_48 = 0) | ~ (all_44_2_49 = 0) | all_44_0_47 = 0
% 36.63/11.54 |
% 36.63/11.54 | Instantiating (99) with all_46_0_50, all_46_1_51, all_46_2_52 yields:
% 36.63/11.54 | (166) aVector0(xt) = all_46_2_52 & aScalar0(xB) = all_46_0_50 & aNaturalNumber0(all_0_7_7) = all_46_1_51 & ( ~ (all_46_1_51 = 0) | ~ (all_46_2_52 = 0) | all_46_0_50 = 0)
% 36.63/11.54 |
% 36.63/11.54 | Applying alpha-rule on (166) yields:
% 36.63/11.54 | (167) aVector0(xt) = all_46_2_52
% 36.63/11.54 | (168) aScalar0(xB) = all_46_0_50
% 36.63/11.54 | (169) aNaturalNumber0(all_0_7_7) = all_46_1_51
% 36.63/11.54 | (170) ~ (all_46_1_51 = 0) | ~ (all_46_2_52 = 0) | all_46_0_50 = 0
% 36.63/11.54 |
% 36.63/11.54 | Instantiating (97) with all_52_0_61, all_52_1_62 yields:
% 36.63/11.54 | (171) aVector0(xq) = all_52_1_62 & sdtlseqdt0(sz0z00, xD) = all_52_0_61 & ( ~ (all_52_1_62 = 0) | all_52_0_61 = 0)
% 36.63/11.54 |
% 36.63/11.54 | Applying alpha-rule on (171) yields:
% 36.63/11.54 | (172) aVector0(xq) = all_52_1_62
% 36.63/11.54 | (173) sdtlseqdt0(sz0z00, xD) = all_52_0_61
% 36.63/11.54 | (174) ~ (all_52_1_62 = 0) | all_52_0_61 = 0
% 36.63/11.54 |
% 36.63/11.54 | Instantiating (98) with all_54_0_63, all_54_1_64 yields:
% 36.63/11.54 | (175) aVector0(xp) = all_54_1_64 & sdtlseqdt0(sz0z00, xC) = all_54_0_63 & ( ~ (all_54_1_64 = 0) | all_54_0_63 = 0)
% 36.63/11.54 |
% 36.63/11.54 | Applying alpha-rule on (175) yields:
% 36.63/11.54 | (176) aVector0(xp) = all_54_1_64
% 36.63/11.54 | (177) sdtlseqdt0(sz0z00, xC) = all_54_0_63
% 36.71/11.54 | (178) ~ (all_54_1_64 = 0) | all_54_0_63 = 0
% 36.71/11.54 |
% 36.71/11.54 +-Applying beta-rule and splitting (107), into two cases.
% 36.71/11.54 |-Branch one:
% 36.71/11.54 | (179) all_0_0_0 = 0
% 36.71/11.54 |
% 36.71/11.54 | Equations (179) can reduce 85 to:
% 36.71/11.54 | (180) $false
% 36.71/11.54 |
% 36.71/11.54 |-The branch is then unsatisfiable
% 36.71/11.54 |-Branch two:
% 36.71/11.54 | (85) ~ (all_0_0_0 = 0)
% 36.71/11.54 | (182) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (sdtlseqdt0(all_0_1_1, xR) = v4 & sdtlseqdt0(all_0_4_4, xS) = v6 & sdtlseqdt0(sz0z00, all_0_4_4) = v5 & aScalar0(all_0_1_1) = v0 & aScalar0(all_0_4_4) = v2 & aScalar0(xS) = v3 & aScalar0(xR) = v1 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 36.71/11.54 |
% 36.71/11.54 | Instantiating (182) with all_66_0_75, all_66_1_76, all_66_2_77, all_66_3_78, all_66_4_79, all_66_5_80, all_66_6_81 yields:
% 36.71/11.54 | (183) sdtlseqdt0(all_0_1_1, xR) = all_66_2_77 & sdtlseqdt0(all_0_4_4, xS) = all_66_0_75 & sdtlseqdt0(sz0z00, all_0_4_4) = all_66_1_76 & aScalar0(all_0_1_1) = all_66_6_81 & aScalar0(all_0_4_4) = all_66_4_79 & aScalar0(xS) = all_66_3_78 & aScalar0(xR) = all_66_5_80 & ( ~ (all_66_0_75 = 0) | ~ (all_66_1_76 = 0) | ~ (all_66_2_77 = 0) | ~ (all_66_3_78 = 0) | ~ (all_66_4_79 = 0) | ~ (all_66_5_80 = 0) | ~ (all_66_6_81 = 0))
% 36.71/11.54 |
% 36.71/11.54 | Applying alpha-rule on (183) yields:
% 36.71/11.54 | (184) sdtlseqdt0(all_0_1_1, xR) = all_66_2_77
% 36.71/11.54 | (185) sdtlseqdt0(all_0_4_4, xS) = all_66_0_75
% 36.71/11.54 | (186) ~ (all_66_0_75 = 0) | ~ (all_66_1_76 = 0) | ~ (all_66_2_77 = 0) | ~ (all_66_3_78 = 0) | ~ (all_66_4_79 = 0) | ~ (all_66_5_80 = 0) | ~ (all_66_6_81 = 0)
% 36.71/11.54 | (187) aScalar0(xS) = all_66_3_78
% 36.71/11.54 | (188) sdtlseqdt0(sz0z00, all_0_4_4) = all_66_1_76
% 36.71/11.54 | (189) aScalar0(xR) = all_66_5_80
% 36.71/11.54 | (190) aScalar0(all_0_4_4) = all_66_4_79
% 36.71/11.54 | (191) aScalar0(all_0_1_1) = all_66_6_81
% 36.71/11.54 |
% 36.71/11.54 +-Applying beta-rule and splitting (105), into two cases.
% 36.71/11.54 |-Branch one:
% 36.71/11.54 | (179) all_0_0_0 = 0
% 36.71/11.54 |
% 36.71/11.54 | Equations (179) can reduce 85 to:
% 36.71/11.54 | (180) $false
% 36.71/11.54 |
% 36.71/11.54 |-The branch is then unsatisfiable
% 36.71/11.54 |-Branch two:
% 36.71/11.54 | (85) ~ (all_0_0_0 = 0)
% 36.71/11.54 | (195) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (sdtlseqdt0(xP, all_0_1_1) = v4 & sdtlseqdt0(xP, all_0_3_3) = v6 & sdtlseqdt0(sz0z00, xP) = v5 & aScalar0(all_0_1_1) = v1 & aScalar0(all_0_3_3) = v3 & aScalar0(xP) = v2 & aScalar0(xP) = v0 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 36.71/11.54 |
% 36.71/11.54 | Instantiating (195) with all_71_0_82, all_71_1_83, all_71_2_84, all_71_3_85, all_71_4_86, all_71_5_87, all_71_6_88 yields:
% 36.71/11.54 | (196) sdtlseqdt0(xP, all_0_1_1) = all_71_2_84 & sdtlseqdt0(xP, all_0_3_3) = all_71_0_82 & sdtlseqdt0(sz0z00, xP) = all_71_1_83 & aScalar0(all_0_1_1) = all_71_5_87 & aScalar0(all_0_3_3) = all_71_3_85 & aScalar0(xP) = all_71_4_86 & aScalar0(xP) = all_71_6_88 & ( ~ (all_71_0_82 = 0) | ~ (all_71_1_83 = 0) | ~ (all_71_2_84 = 0) | ~ (all_71_3_85 = 0) | ~ (all_71_4_86 = 0) | ~ (all_71_5_87 = 0) | ~ (all_71_6_88 = 0))
% 36.71/11.54 |
% 36.71/11.54 | Applying alpha-rule on (196) yields:
% 36.71/11.54 | (197) sdtlseqdt0(xP, all_0_3_3) = all_71_0_82
% 36.71/11.54 | (198) sdtlseqdt0(xP, all_0_1_1) = all_71_2_84
% 36.71/11.54 | (199) aScalar0(all_0_3_3) = all_71_3_85
% 36.71/11.54 | (200) aScalar0(all_0_1_1) = all_71_5_87
% 36.71/11.54 | (201) aScalar0(xP) = all_71_4_86
% 36.71/11.54 | (202) ~ (all_71_0_82 = 0) | ~ (all_71_1_83 = 0) | ~ (all_71_2_84 = 0) | ~ (all_71_3_85 = 0) | ~ (all_71_4_86 = 0) | ~ (all_71_5_87 = 0) | ~ (all_71_6_88 = 0)
% 36.71/11.55 | (203) sdtlseqdt0(sz0z00, xP) = all_71_1_83
% 36.71/11.55 | (204) aScalar0(xP) = all_71_6_88
% 36.71/11.55 |
% 36.71/11.55 +-Applying beta-rule and splitting (108), into two cases.
% 36.71/11.55 |-Branch one:
% 36.71/11.55 | (179) all_0_0_0 = 0
% 36.71/11.55 |
% 36.71/11.55 | Equations (179) can reduce 85 to:
% 36.71/11.55 | (180) $false
% 36.71/11.55 |
% 36.71/11.55 |-The branch is then unsatisfiable
% 36.71/11.55 |-Branch two:
% 36.71/11.55 | (85) ~ (all_0_0_0 = 0)
% 36.71/11.55 | (208) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (sdtlseqdt0(xP, xS) = v6 & sdtlseqdt0(xP, xR) = v4 & sdtlseqdt0(sz0z00, xP) = v5 & aScalar0(xS) = v3 & aScalar0(xP) = v2 & aScalar0(xP) = v0 & aScalar0(xR) = v1 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 36.71/11.55 |
% 36.71/11.55 | Instantiating (208) with all_76_0_89, all_76_1_90, all_76_2_91, all_76_3_92, all_76_4_93, all_76_5_94, all_76_6_95 yields:
% 36.71/11.55 | (209) sdtlseqdt0(xP, xS) = all_76_0_89 & sdtlseqdt0(xP, xR) = all_76_2_91 & sdtlseqdt0(sz0z00, xP) = all_76_1_90 & aScalar0(xS) = all_76_3_92 & aScalar0(xP) = all_76_4_93 & aScalar0(xP) = all_76_6_95 & aScalar0(xR) = all_76_5_94 & ( ~ (all_76_0_89 = 0) | ~ (all_76_1_90 = 0) | ~ (all_76_2_91 = 0) | ~ (all_76_3_92 = 0) | ~ (all_76_4_93 = 0) | ~ (all_76_5_94 = 0) | ~ (all_76_6_95 = 0))
% 36.71/11.55 |
% 36.71/11.55 | Applying alpha-rule on (209) yields:
% 36.71/11.55 | (210) aScalar0(xP) = all_76_6_95
% 36.71/11.55 | (211) sdtlseqdt0(sz0z00, xP) = all_76_1_90
% 36.71/11.55 | (212) sdtlseqdt0(xP, xS) = all_76_0_89
% 36.71/11.55 | (213) aScalar0(xP) = all_76_4_93
% 36.71/11.55 | (214) ~ (all_76_0_89 = 0) | ~ (all_76_1_90 = 0) | ~ (all_76_2_91 = 0) | ~ (all_76_3_92 = 0) | ~ (all_76_4_93 = 0) | ~ (all_76_5_94 = 0) | ~ (all_76_6_95 = 0)
% 36.71/11.55 | (215) aScalar0(xR) = all_76_5_94
% 36.71/11.55 | (216) aScalar0(xS) = all_76_3_92
% 36.71/11.55 | (217) sdtlseqdt0(xP, xR) = all_76_2_91
% 36.71/11.55 |
% 36.71/11.55 +-Applying beta-rule and splitting (101), into two cases.
% 36.71/11.55 |-Branch one:
% 36.71/11.55 | (179) all_0_0_0 = 0
% 36.71/11.55 |
% 36.71/11.55 | Equations (179) can reduce 85 to:
% 36.71/11.55 | (180) $false
% 36.71/11.55 |
% 36.71/11.55 |-The branch is then unsatisfiable
% 36.71/11.55 |-Branch two:
% 36.71/11.55 | (85) ~ (all_0_0_0 = 0)
% 36.71/11.55 | (221) ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(xN, all_0_2_2) = v2 & aScalar0(all_0_2_2) = v0 & aScalar0(xN) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 36.71/11.55 |
% 36.71/11.55 +-Applying beta-rule and splitting (103), into two cases.
% 36.71/11.55 |-Branch one:
% 36.71/11.55 | (179) all_0_0_0 = 0
% 36.71/11.55 |
% 36.71/11.55 | Equations (179) can reduce 85 to:
% 36.71/11.55 | (180) $false
% 36.71/11.55 |
% 36.71/11.55 |-The branch is then unsatisfiable
% 36.71/11.55 |-Branch two:
% 36.71/11.55 | (85) ~ (all_0_0_0 = 0)
% 36.71/11.55 | (225) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (sdtlseqdt0(all_0_1_1, all_0_1_1) = v4 & sdtlseqdt0(all_0_4_4, all_0_3_3) = v6 & sdtlseqdt0(sz0z00, all_0_4_4) = v5 & aScalar0(all_0_1_1) = v1 & aScalar0(all_0_1_1) = v0 & aScalar0(all_0_3_3) = v3 & aScalar0(all_0_4_4) = v2 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 36.71/11.55 |
% 36.71/11.55 | Instantiating (225) with all_86_0_99, all_86_1_100, all_86_2_101, all_86_3_102, all_86_4_103, all_86_5_104, all_86_6_105 yields:
% 36.71/11.55 | (226) sdtlseqdt0(all_0_1_1, all_0_1_1) = all_86_2_101 & sdtlseqdt0(all_0_4_4, all_0_3_3) = all_86_0_99 & sdtlseqdt0(sz0z00, all_0_4_4) = all_86_1_100 & aScalar0(all_0_1_1) = all_86_5_104 & aScalar0(all_0_1_1) = all_86_6_105 & aScalar0(all_0_3_3) = all_86_3_102 & aScalar0(all_0_4_4) = all_86_4_103 & ( ~ (all_86_0_99 = 0) | ~ (all_86_1_100 = 0) | ~ (all_86_2_101 = 0) | ~ (all_86_3_102 = 0) | ~ (all_86_4_103 = 0) | ~ (all_86_5_104 = 0) | ~ (all_86_6_105 = 0))
% 36.71/11.55 |
% 36.71/11.55 | Applying alpha-rule on (226) yields:
% 36.71/11.55 | (227) aScalar0(all_0_1_1) = all_86_6_105
% 36.71/11.55 | (228) aScalar0(all_0_1_1) = all_86_5_104
% 36.71/11.55 | (229) ~ (all_86_0_99 = 0) | ~ (all_86_1_100 = 0) | ~ (all_86_2_101 = 0) | ~ (all_86_3_102 = 0) | ~ (all_86_4_103 = 0) | ~ (all_86_5_104 = 0) | ~ (all_86_6_105 = 0)
% 36.71/11.55 | (230) aScalar0(all_0_4_4) = all_86_4_103
% 36.71/11.55 | (231) sdtlseqdt0(all_0_1_1, all_0_1_1) = all_86_2_101
% 36.71/11.55 | (232) sdtlseqdt0(sz0z00, all_0_4_4) = all_86_1_100
% 36.71/11.55 | (233) sdtlseqdt0(all_0_4_4, all_0_3_3) = all_86_0_99
% 36.71/11.55 | (234) aScalar0(all_0_3_3) = all_86_3_102
% 36.71/11.55 |
% 36.71/11.55 | Instantiating formula (36) with xq, all_52_1_62, 0 and discharging atoms aVector0(xq) = all_52_1_62, aVector0(xq) = 0, yields:
% 36.71/11.55 | (235) all_52_1_62 = 0
% 36.71/11.55 |
% 36.71/11.55 | Instantiating formula (36) with xp, all_54_1_64, 0 and discharging atoms aVector0(xp) = all_54_1_64, aVector0(xp) = 0, yields:
% 36.71/11.55 | (236) all_54_1_64 = 0
% 36.71/11.55 |
% 36.71/11.55 | Instantiating formula (58) with all_0_4_4, all_0_3_3, all_86_0_99, 0 and discharging atoms sdtlseqdt0(all_0_4_4, all_0_3_3) = all_86_0_99, sdtlseqdt0(all_0_4_4, all_0_3_3) = 0, yields:
% 36.71/11.55 | (237) all_86_0_99 = 0
% 36.71/11.55 |
% 36.71/11.55 | Instantiating formula (58) with sz0z00, all_0_4_4, all_66_1_76, all_86_1_100 and discharging atoms sdtlseqdt0(sz0z00, all_0_4_4) = all_86_1_100, sdtlseqdt0(sz0z00, all_0_4_4) = all_66_1_76, yields:
% 36.71/11.55 | (238) all_86_1_100 = all_66_1_76
% 36.71/11.55 |
% 36.71/11.55 | Instantiating formula (58) with sz0z00, all_0_4_4, all_12_0_14, all_86_1_100 and discharging atoms sdtlseqdt0(sz0z00, all_0_4_4) = all_86_1_100, sdtlseqdt0(sz0z00, all_0_4_4) = all_12_0_14, yields:
% 36.71/11.55 | (239) all_86_1_100 = all_12_0_14
% 36.71/11.55 |
% 36.71/11.55 | Instantiating formula (57) with all_0_1_1, all_86_6_105, all_86_5_104 and discharging atoms aScalar0(all_0_1_1) = all_86_5_104, aScalar0(all_0_1_1) = all_86_6_105, yields:
% 36.71/11.55 | (240) all_86_5_104 = all_86_6_105
% 36.71/11.55 |
% 36.71/11.55 | Instantiating formula (57) with all_0_1_1, all_66_6_81, all_71_5_87 and discharging atoms aScalar0(all_0_1_1) = all_71_5_87, aScalar0(all_0_1_1) = all_66_6_81, yields:
% 36.71/11.55 | (241) all_71_5_87 = all_66_6_81
% 36.71/11.55 |
% 36.71/11.55 | Instantiating formula (57) with all_0_1_1, all_42_2_46, all_86_6_105 and discharging atoms aScalar0(all_0_1_1) = all_86_6_105, aScalar0(all_0_1_1) = all_42_2_46, yields:
% 36.71/11.55 | (242) all_86_6_105 = all_42_2_46
% 36.71/11.55 |
% 36.71/11.55 | Instantiating formula (57) with all_0_1_1, all_42_2_46, all_66_6_81 and discharging atoms aScalar0(all_0_1_1) = all_66_6_81, aScalar0(all_0_1_1) = all_42_2_46, yields:
% 36.71/11.55 | (243) all_66_6_81 = all_42_2_46
% 36.71/11.55 |
% 36.71/11.55 | Instantiating formula (57) with all_0_1_1, all_24_0_28, all_86_5_104 and discharging atoms aScalar0(all_0_1_1) = all_86_5_104, aScalar0(all_0_1_1) = all_24_0_28, yields:
% 36.71/11.55 | (244) all_86_5_104 = all_24_0_28
% 36.71/11.55 |
% 36.71/11.55 | Instantiating formula (57) with all_0_1_1, all_18_2_23, all_71_5_87 and discharging atoms aScalar0(all_0_1_1) = all_71_5_87, aScalar0(all_0_1_1) = all_18_2_23, yields:
% 36.71/11.56 | (245) all_71_5_87 = all_18_2_23
% 36.71/11.56 |
% 36.71/11.56 | Instantiating formula (57) with all_0_3_3, all_71_3_85, all_86_3_102 and discharging atoms aScalar0(all_0_3_3) = all_86_3_102, aScalar0(all_0_3_3) = all_71_3_85, yields:
% 36.71/11.56 | (246) all_86_3_102 = all_71_3_85
% 36.71/11.56 |
% 36.71/11.56 | Instantiating formula (57) with all_0_3_3, all_40_0_41, all_71_3_85 and discharging atoms aScalar0(all_0_3_3) = all_71_3_85, aScalar0(all_0_3_3) = all_40_0_41, yields:
% 36.71/11.56 | (247) all_71_3_85 = all_40_0_41
% 36.71/11.56 |
% 36.71/11.56 | Instantiating formula (57) with all_0_3_3, all_18_1_22, all_86_3_102 and discharging atoms aScalar0(all_0_3_3) = all_86_3_102, aScalar0(all_0_3_3) = all_18_1_22, yields:
% 36.71/11.56 | (248) all_86_3_102 = all_18_1_22
% 36.71/11.56 |
% 36.71/11.56 | Instantiating formula (57) with all_0_4_4, all_10_0_11, all_86_4_103 and discharging atoms aScalar0(all_0_4_4) = all_86_4_103, aScalar0(all_0_4_4) = all_10_0_11, yields:
% 36.71/11.56 | (249) all_86_4_103 = all_10_0_11
% 36.71/11.56 |
% 36.71/11.56 | Instantiating formula (57) with xP, all_76_6_95, 0 and discharging atoms aScalar0(xP) = all_76_6_95, aScalar0(xP) = 0, yields:
% 36.71/11.56 | (250) all_76_6_95 = 0
% 36.71/11.56 |
% 36.71/11.56 | Instantiating formula (57) with xP, all_76_6_95, all_76_4_93 and discharging atoms aScalar0(xP) = all_76_4_93, aScalar0(xP) = all_76_6_95, yields:
% 36.71/11.56 | (251) all_76_4_93 = all_76_6_95
% 36.71/11.56 |
% 36.71/11.56 | Instantiating formula (57) with xP, all_71_4_86, all_76_4_93 and discharging atoms aScalar0(xP) = all_76_4_93, aScalar0(xP) = all_71_4_86, yields:
% 36.71/11.56 | (252) all_76_4_93 = all_71_4_86
% 36.71/11.56 |
% 36.71/11.56 | Instantiating formula (57) with xP, all_71_6_88, all_76_6_95 and discharging atoms aScalar0(xP) = all_76_6_95, aScalar0(xP) = all_71_6_88, yields:
% 36.71/11.56 | (253) all_76_6_95 = all_71_6_88
% 36.71/11.56 |
% 36.71/11.56 | Instantiating formula (57) with xP, all_36_1_38, all_71_6_88 and discharging atoms aScalar0(xP) = all_71_6_88, aScalar0(xP) = all_36_1_38, yields:
% 36.71/11.56 | (254) all_71_6_88 = all_36_1_38
% 36.71/11.56 |
% 36.71/11.56 | Instantiating formula (57) with xH, all_26_1_32, 0 and discharging atoms aScalar0(xH) = all_26_1_32, aScalar0(xH) = 0, yields:
% 36.71/11.56 | (255) all_26_1_32 = 0
% 36.71/11.56 |
% 36.71/11.56 | Instantiating formula (57) with xH, all_24_1_29, all_26_1_32 and discharging atoms aScalar0(xH) = all_26_1_32, aScalar0(xH) = all_24_1_29, yields:
% 36.71/11.56 | (256) all_26_1_32 = all_24_1_29
% 36.71/11.56 |
% 36.71/11.56 | Instantiating formula (57) with xH, all_24_2_30, all_24_1_29 and discharging atoms aScalar0(xH) = all_24_1_29, aScalar0(xH) = all_24_2_30, yields:
% 36.71/11.56 | (257) all_24_1_29 = all_24_2_30
% 36.71/11.56 |
% 36.71/11.56 | Instantiating formula (57) with xE, all_12_1_15, 0 and discharging atoms aScalar0(xE) = all_12_1_15, aScalar0(xE) = 0, yields:
% 36.71/11.56 | (258) all_12_1_15 = 0
% 36.71/11.56 |
% 36.71/11.56 | Instantiating formula (57) with xE, all_10_1_12, all_12_1_15 and discharging atoms aScalar0(xE) = all_12_1_15, aScalar0(xE) = all_10_1_12, yields:
% 36.71/11.56 | (259) all_12_1_15 = all_10_1_12
% 36.71/11.56 |
% 36.71/11.56 | Instantiating formula (57) with xE, all_10_2_13, all_10_1_12 and discharging atoms aScalar0(xE) = all_10_1_12, aScalar0(xE) = all_10_2_13, yields:
% 36.71/11.56 | (260) all_10_1_12 = all_10_2_13
% 36.71/11.56 |
% 36.71/11.56 | Instantiating formula (57) with xD, all_40_1_42, 0 and discharging atoms aScalar0(xD) = all_40_1_42, aScalar0(xD) = 0, yields:
% 36.71/11.56 | (261) all_40_1_42 = 0
% 36.71/11.56 |
% 36.71/11.56 | Instantiating formula (57) with xC, all_40_2_43, 0 and discharging atoms aScalar0(xC) = all_40_2_43, aScalar0(xC) = 0, yields:
% 36.71/11.56 | (262) all_40_2_43 = 0
% 36.71/11.56 |
% 36.71/11.56 | Instantiating formula (57) with xB, all_46_0_50, 0 and discharging atoms aScalar0(xB) = all_46_0_50, aScalar0(xB) = 0, yields:
% 36.71/11.56 | (263) all_46_0_50 = 0
% 36.71/11.56 |
% 36.71/11.56 | Instantiating formula (57) with xB, all_38_1_40, all_46_0_50 and discharging atoms aScalar0(xB) = all_46_0_50, aScalar0(xB) = all_38_1_40, yields:
% 36.71/11.56 | (264) all_46_0_50 = all_38_1_40
% 36.71/11.56 |
% 36.71/11.56 | Instantiating formula (57) with xA, all_44_0_47, 0 and discharging atoms aScalar0(xA) = all_44_0_47, aScalar0(xA) = 0, yields:
% 36.71/11.56 | (265) all_44_0_47 = 0
% 36.71/11.56 |
% 36.71/11.56 | Instantiating formula (57) with xA, all_22_1_27, all_44_0_47 and discharging atoms aScalar0(xA) = all_44_0_47, aScalar0(xA) = all_22_1_27, yields:
% 36.71/11.56 | (266) all_44_0_47 = all_22_1_27
% 36.71/11.56 |
% 36.71/11.56 | Combining equations (238,239) yields a new equation:
% 36.71/11.56 | (267) all_66_1_76 = all_12_0_14
% 36.71/11.56 |
% 36.71/11.56 | Simplifying 267 yields:
% 36.71/11.56 | (268) all_66_1_76 = all_12_0_14
% 36.71/11.56 |
% 36.71/11.56 | Combining equations (246,248) yields a new equation:
% 36.71/11.56 | (269) all_71_3_85 = all_18_1_22
% 36.71/11.56 |
% 36.71/11.56 | Simplifying 269 yields:
% 36.71/11.56 | (270) all_71_3_85 = all_18_1_22
% 36.71/11.56 |
% 36.71/11.56 | Combining equations (240,244) yields a new equation:
% 36.71/11.56 | (271) all_86_6_105 = all_24_0_28
% 36.71/11.56 |
% 36.71/11.56 | Simplifying 271 yields:
% 36.71/11.56 | (272) all_86_6_105 = all_24_0_28
% 36.71/11.56 |
% 36.71/11.56 | Combining equations (242,272) yields a new equation:
% 36.71/11.56 | (273) all_42_2_46 = all_24_0_28
% 36.71/11.56 |
% 36.71/11.56 | Simplifying 273 yields:
% 36.71/11.56 | (274) all_42_2_46 = all_24_0_28
% 36.71/11.56 |
% 36.71/11.56 | Combining equations (251,252) yields a new equation:
% 36.71/11.56 | (275) all_76_6_95 = all_71_4_86
% 36.71/11.56 |
% 36.71/11.56 | Simplifying 275 yields:
% 36.71/11.56 | (276) all_76_6_95 = all_71_4_86
% 36.71/11.56 |
% 36.71/11.56 | Combining equations (253,276) yields a new equation:
% 36.71/11.56 | (277) all_71_4_86 = all_71_6_88
% 36.71/11.56 |
% 36.71/11.56 | Combining equations (250,276) yields a new equation:
% 36.71/11.56 | (278) all_71_4_86 = 0
% 36.71/11.56 |
% 36.71/11.56 | Combining equations (247,270) yields a new equation:
% 36.71/11.56 | (279) all_40_0_41 = all_18_1_22
% 36.71/11.56 |
% 36.71/11.56 | Simplifying 279 yields:
% 36.71/11.56 | (280) all_40_0_41 = all_18_1_22
% 36.71/11.56 |
% 36.71/11.56 | Combining equations (277,278) yields a new equation:
% 36.71/11.56 | (281) all_71_6_88 = 0
% 36.71/11.56 |
% 36.71/11.56 | Simplifying 281 yields:
% 36.71/11.56 | (282) all_71_6_88 = 0
% 36.71/11.56 |
% 36.71/11.56 | Combining equations (241,245) yields a new equation:
% 36.71/11.56 | (283) all_66_6_81 = all_18_2_23
% 36.71/11.56 |
% 36.71/11.57 | Simplifying 283 yields:
% 36.71/11.57 | (284) all_66_6_81 = all_18_2_23
% 36.71/11.57 |
% 36.71/11.57 | Combining equations (254,282) yields a new equation:
% 36.71/11.57 | (285) all_36_1_38 = 0
% 36.71/11.57 |
% 36.71/11.57 | Simplifying 285 yields:
% 36.71/11.57 | (286) all_36_1_38 = 0
% 36.71/11.57 |
% 36.71/11.57 | Combining equations (243,284) yields a new equation:
% 36.71/11.57 | (287) all_42_2_46 = all_18_2_23
% 36.71/11.57 |
% 36.71/11.57 | Simplifying 287 yields:
% 36.71/11.57 | (288) all_42_2_46 = all_18_2_23
% 36.71/11.57 |
% 36.71/11.57 | Combining equations (264,263) yields a new equation:
% 36.71/11.57 | (289) all_38_1_40 = 0
% 36.71/11.57 |
% 36.71/11.57 | Simplifying 289 yields:
% 36.71/11.57 | (290) all_38_1_40 = 0
% 36.71/11.57 |
% 36.71/11.57 | Combining equations (265,266) yields a new equation:
% 36.71/11.57 | (291) all_22_1_27 = 0
% 36.71/11.57 |
% 36.71/11.57 | Combining equations (288,274) yields a new equation:
% 36.71/11.57 | (292) all_24_0_28 = all_18_2_23
% 36.71/11.57 |
% 36.71/11.57 | Combining equations (256,255) yields a new equation:
% 36.71/11.57 | (293) all_24_1_29 = 0
% 36.71/11.57 |
% 36.71/11.57 | Simplifying 293 yields:
% 36.71/11.57 | (294) all_24_1_29 = 0
% 36.71/11.57 |
% 36.71/11.57 | Combining equations (257,294) yields a new equation:
% 36.71/11.57 | (295) all_24_2_30 = 0
% 36.71/11.57 |
% 36.71/11.57 | Simplifying 295 yields:
% 36.71/11.57 | (296) all_24_2_30 = 0
% 36.71/11.57 |
% 36.71/11.57 | Combining equations (259,258) yields a new equation:
% 36.71/11.57 | (297) all_10_1_12 = 0
% 36.71/11.57 |
% 36.71/11.57 | Simplifying 297 yields:
% 36.71/11.57 | (298) all_10_1_12 = 0
% 36.71/11.57 |
% 36.71/11.57 | Combining equations (298,260) yields a new equation:
% 36.71/11.57 | (299) all_10_2_13 = 0
% 36.71/11.57 |
% 36.71/11.57 | Combining equations (299,260) yields a new equation:
% 36.71/11.57 | (298) all_10_1_12 = 0
% 36.71/11.57 |
% 36.71/11.57 | Combining equations (292,272) yields a new equation:
% 36.71/11.57 | (301) all_86_6_105 = all_18_2_23
% 36.71/11.57 |
% 36.71/11.57 | Combining equations (292,244) yields a new equation:
% 36.71/11.57 | (302) all_86_5_104 = all_18_2_23
% 36.71/11.57 |
% 36.71/11.57 | From (268) and (188) follows:
% 36.71/11.57 | (122) sdtlseqdt0(sz0z00, all_0_4_4) = all_12_0_14
% 36.71/11.57 |
% 36.71/11.57 | From (292) and (135) follows:
% 36.71/11.57 | (126) aScalar0(all_0_1_1) = all_18_2_23
% 36.71/11.57 |
% 36.71/11.57 +-Applying beta-rule and splitting (124), into two cases.
% 36.71/11.57 |-Branch one:
% 36.71/11.57 | (305) ~ (all_12_1_15 = 0)
% 36.71/11.57 |
% 36.71/11.57 | Equations (258) can reduce 305 to:
% 36.71/11.57 | (180) $false
% 36.71/11.57 |
% 36.71/11.57 |-The branch is then unsatisfiable
% 36.71/11.57 |-Branch two:
% 36.71/11.57 | (258) all_12_1_15 = 0
% 36.71/11.57 | (308) all_12_0_14 = 0
% 36.71/11.57 |
% 36.71/11.57 | Combining equations (308,239) yields a new equation:
% 36.71/11.57 | (309) all_86_1_100 = 0
% 36.71/11.57 |
% 36.71/11.57 | From (308) and (122) follows:
% 36.71/11.57 | (310) sdtlseqdt0(sz0z00, all_0_4_4) = 0
% 36.71/11.57 |
% 36.71/11.57 +-Applying beta-rule and splitting (155), into two cases.
% 36.71/11.57 |-Branch one:
% 36.71/11.57 | (311) ~ (all_40_1_42 = 0)
% 36.71/11.57 |
% 36.71/11.57 | Equations (261) can reduce 311 to:
% 36.71/11.57 | (180) $false
% 36.71/11.57 |
% 36.71/11.57 |-The branch is then unsatisfiable
% 36.71/11.57 |-Branch two:
% 36.71/11.57 | (261) all_40_1_42 = 0
% 36.71/11.57 | (314) ~ (all_40_2_43 = 0) | all_40_0_41 = 0
% 36.71/11.57 |
% 36.71/11.57 +-Applying beta-rule and splitting (174), into two cases.
% 36.71/11.57 |-Branch one:
% 36.71/11.57 | (315) ~ (all_52_1_62 = 0)
% 36.71/11.57 |
% 36.71/11.57 | Equations (235) can reduce 315 to:
% 36.71/11.57 | (180) $false
% 36.71/11.57 |
% 36.71/11.57 |-The branch is then unsatisfiable
% 36.71/11.57 |-Branch two:
% 36.71/11.57 | (235) all_52_1_62 = 0
% 36.71/11.57 | (318) all_52_0_61 = 0
% 36.71/11.57 |
% 36.71/11.57 | From (318) and (173) follows:
% 36.71/11.57 | (319) sdtlseqdt0(sz0z00, xD) = 0
% 36.71/11.57 |
% 36.71/11.57 +-Applying beta-rule and splitting (142), into two cases.
% 36.71/11.57 |-Branch one:
% 36.71/11.57 | (320) ~ (all_26_1_32 = 0)
% 36.71/11.57 |
% 36.71/11.57 | Equations (255) can reduce 320 to:
% 36.71/11.57 | (180) $false
% 36.71/11.57 |
% 36.71/11.57 |-The branch is then unsatisfiable
% 36.71/11.57 |-Branch two:
% 36.71/11.57 | (255) all_26_1_32 = 0
% 36.71/11.57 | (323) all_26_0_31 = 0
% 36.71/11.57 |
% 36.71/11.57 | From (323) and (140) follows:
% 36.71/11.57 | (324) sdtlseqdt0(sz0z00, all_0_1_1) = 0
% 36.71/11.57 |
% 36.71/11.57 +-Applying beta-rule and splitting (138), into two cases.
% 36.71/11.57 |-Branch one:
% 36.71/11.57 | (325) ~ (all_24_1_29 = 0)
% 36.71/11.57 |
% 36.71/11.57 | Equations (294) can reduce 325 to:
% 36.71/11.57 | (180) $false
% 36.71/11.57 |
% 36.71/11.57 |-The branch is then unsatisfiable
% 36.71/11.57 |-Branch two:
% 36.71/11.57 | (294) all_24_1_29 = 0
% 36.71/11.57 | (328) ~ (all_24_2_30 = 0) | all_24_0_28 = 0
% 36.71/11.57 |
% 36.71/11.57 +-Applying beta-rule and splitting (178), into two cases.
% 36.71/11.57 |-Branch one:
% 36.71/11.57 | (329) ~ (all_54_1_64 = 0)
% 36.71/11.57 |
% 36.71/11.58 | Equations (236) can reduce 329 to:
% 36.71/11.58 | (180) $false
% 36.71/11.58 |
% 36.71/11.58 |-The branch is then unsatisfiable
% 36.71/11.58 |-Branch two:
% 36.71/11.58 | (236) all_54_1_64 = 0
% 36.71/11.58 | (332) all_54_0_63 = 0
% 36.71/11.58 |
% 36.71/11.58 | From (332) and (177) follows:
% 36.71/11.58 | (333) sdtlseqdt0(sz0z00, xC) = 0
% 36.71/11.58 |
% 36.71/11.58 +-Applying beta-rule and splitting (328), into two cases.
% 36.71/11.58 |-Branch one:
% 36.71/11.58 | (334) ~ (all_24_2_30 = 0)
% 36.71/11.58 |
% 36.71/11.58 | Equations (296) can reduce 334 to:
% 36.71/11.58 | (180) $false
% 36.71/11.58 |
% 36.71/11.58 |-The branch is then unsatisfiable
% 36.71/11.58 |-Branch two:
% 36.71/11.58 | (296) all_24_2_30 = 0
% 36.71/11.58 | (337) all_24_0_28 = 0
% 36.71/11.58 |
% 36.71/11.58 | Combining equations (337,292) yields a new equation:
% 36.71/11.58 | (338) all_18_2_23 = 0
% 36.71/11.58 |
% 36.71/11.58 | Combining equations (338,301) yields a new equation:
% 36.71/11.58 | (339) all_86_6_105 = 0
% 36.71/11.58 |
% 36.71/11.58 | Combining equations (338,302) yields a new equation:
% 36.71/11.58 | (340) all_86_5_104 = 0
% 36.71/11.58 |
% 36.71/11.58 | From (338) and (126) follows:
% 36.71/11.58 | (341) aScalar0(all_0_1_1) = 0
% 36.71/11.58 |
% 36.71/11.58 +-Applying beta-rule and splitting (314), into two cases.
% 36.71/11.58 |-Branch one:
% 36.71/11.58 | (342) ~ (all_40_2_43 = 0)
% 36.71/11.58 |
% 36.71/11.58 | Equations (262) can reduce 342 to:
% 36.71/11.58 | (180) $false
% 36.71/11.58 |
% 36.71/11.58 |-The branch is then unsatisfiable
% 36.71/11.58 |-Branch two:
% 36.71/11.58 | (262) all_40_2_43 = 0
% 36.71/11.58 | (345) all_40_0_41 = 0
% 36.71/11.58 |
% 36.71/11.58 | Combining equations (280,345) yields a new equation:
% 36.71/11.58 | (346) all_18_1_22 = 0
% 36.71/11.58 |
% 36.71/11.58 | Simplifying 346 yields:
% 36.71/11.58 | (347) all_18_1_22 = 0
% 36.71/11.58 |
% 36.71/11.58 | Combining equations (347,248) yields a new equation:
% 36.71/11.58 | (348) all_86_3_102 = 0
% 36.71/11.58 |
% 36.71/11.58 +-Applying beta-rule and splitting (120), into two cases.
% 36.71/11.58 |-Branch one:
% 36.71/11.58 | (349) ~ (all_10_1_12 = 0)
% 36.71/11.58 |
% 36.71/11.58 | Equations (298) can reduce 349 to:
% 36.71/11.58 | (180) $false
% 36.71/11.58 |
% 36.71/11.58 |-The branch is then unsatisfiable
% 36.71/11.58 |-Branch two:
% 36.71/11.58 | (298) all_10_1_12 = 0
% 36.71/11.58 | (352) ~ (all_10_2_13 = 0) | all_10_0_11 = 0
% 36.71/11.58 |
% 36.71/11.58 +-Applying beta-rule and splitting (133), into two cases.
% 36.71/11.58 |-Branch one:
% 36.71/11.58 | (353) ~ (all_22_1_27 = 0)
% 36.71/11.58 |
% 36.71/11.58 | Equations (291) can reduce 353 to:
% 36.71/11.58 | (180) $false
% 36.71/11.58 |
% 36.71/11.58 |-The branch is then unsatisfiable
% 36.71/11.58 |-Branch two:
% 36.71/11.58 | (291) all_22_1_27 = 0
% 36.71/11.58 | (356) all_22_0_26 = 0
% 36.71/11.58 |
% 36.71/11.58 | From (356) and (131) follows:
% 36.71/11.58 | (357) sdtlseqdt0(sz0z00, xF) = 0
% 36.71/11.58 |
% 36.71/11.58 +-Applying beta-rule and splitting (352), into two cases.
% 36.71/11.58 |-Branch one:
% 36.71/11.58 | (358) ~ (all_10_2_13 = 0)
% 36.71/11.58 |
% 36.71/11.58 | Equations (299) can reduce 358 to:
% 36.71/11.58 | (180) $false
% 36.71/11.58 |
% 36.71/11.58 |-The branch is then unsatisfiable
% 36.71/11.58 |-Branch two:
% 36.71/11.58 | (299) all_10_2_13 = 0
% 36.71/11.58 | (361) all_10_0_11 = 0
% 36.71/11.58 |
% 36.71/11.58 | Combining equations (361,249) yields a new equation:
% 36.71/11.58 | (362) all_86_4_103 = 0
% 36.71/11.58 |
% 36.71/11.58 +-Applying beta-rule and splitting (146), into two cases.
% 36.71/11.58 |-Branch one:
% 36.71/11.58 | (363) ~ (all_36_1_38 = 0)
% 36.71/11.58 |
% 36.71/11.58 | Equations (286) can reduce 363 to:
% 36.71/11.58 | (180) $false
% 36.71/11.58 |
% 36.71/11.58 |-The branch is then unsatisfiable
% 36.71/11.58 |-Branch two:
% 36.71/11.58 | (286) all_36_1_38 = 0
% 36.71/11.58 | (366) all_36_0_37 = 0
% 36.71/11.58 |
% 36.71/11.58 | From (366) and (144) follows:
% 36.71/11.58 | (367) sdtlseqdt0(sz0z00, all_0_2_2) = 0
% 36.71/11.58 |
% 36.71/11.58 +-Applying beta-rule and splitting (229), into two cases.
% 36.71/11.58 |-Branch one:
% 36.71/11.58 | (368) ~ (all_86_0_99 = 0)
% 36.71/11.59 |
% 36.71/11.59 | Equations (237) can reduce 368 to:
% 36.71/11.59 | (180) $false
% 36.71/11.59 |
% 36.71/11.59 |-The branch is then unsatisfiable
% 36.71/11.59 |-Branch two:
% 36.71/11.59 | (237) all_86_0_99 = 0
% 36.71/11.59 | (371) ~ (all_86_1_100 = 0) | ~ (all_86_2_101 = 0) | ~ (all_86_3_102 = 0) | ~ (all_86_4_103 = 0) | ~ (all_86_5_104 = 0) | ~ (all_86_6_105 = 0)
% 36.71/11.59 |
% 36.71/11.59 +-Applying beta-rule and splitting (371), into two cases.
% 36.71/11.59 |-Branch one:
% 36.71/11.59 | (372) ~ (all_86_1_100 = 0)
% 36.71/11.59 |
% 36.71/11.59 | Equations (309) can reduce 372 to:
% 36.71/11.59 | (180) $false
% 36.71/11.59 |
% 36.71/11.59 |-The branch is then unsatisfiable
% 36.71/11.59 |-Branch two:
% 36.71/11.59 | (309) all_86_1_100 = 0
% 36.71/11.59 | (375) ~ (all_86_2_101 = 0) | ~ (all_86_3_102 = 0) | ~ (all_86_4_103 = 0) | ~ (all_86_5_104 = 0) | ~ (all_86_6_105 = 0)
% 36.71/11.59 |
% 36.71/11.59 +-Applying beta-rule and splitting (375), into two cases.
% 36.71/11.59 |-Branch one:
% 36.71/11.59 | (376) ~ (all_86_2_101 = 0)
% 36.71/11.59 |
% 36.71/11.59 +-Applying beta-rule and splitting (150), into two cases.
% 36.71/11.59 |-Branch one:
% 36.71/11.59 | (377) ~ (all_38_1_40 = 0)
% 36.71/11.59 |
% 36.71/11.59 | Equations (290) can reduce 377 to:
% 36.71/11.59 | (180) $false
% 36.71/11.59 |
% 36.71/11.59 |-The branch is then unsatisfiable
% 36.71/11.59 |-Branch two:
% 36.71/11.59 | (290) all_38_1_40 = 0
% 36.71/11.59 | (380) all_38_0_39 = 0
% 36.71/11.59 |
% 36.71/11.59 | From (380) and (148) follows:
% 36.71/11.59 | (381) sdtlseqdt0(sz0z00, xG) = 0
% 36.71/11.59 |
% 36.71/11.59 | Instantiating formula (62) with all_86_2_101, all_0_1_1 and discharging atoms sdtlseqdt0(all_0_1_1, all_0_1_1) = all_86_2_101, yields:
% 36.71/11.59 | (382) all_86_2_101 = 0 | ? [v0] : ( ~ (v0 = 0) & aScalar0(all_0_1_1) = v0)
% 36.71/11.59 |
% 36.71/11.59 | Instantiating formula (84) with all_86_2_101, all_0_1_1, all_0_1_1 and discharging atoms sdtlseqdt0(all_0_1_1, all_0_1_1) = all_86_2_101, yields:
% 36.71/11.59 | (383) all_86_2_101 = 0 | ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(all_0_1_1, all_0_1_1) = v2 & aScalar0(all_0_1_1) = v1 & aScalar0(all_0_1_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 36.71/11.59 |
% 36.71/11.59 | Instantiating formula (16) with all_0_1_1, all_0_1_1 and discharging atoms sdtlseqdt0(sz0z00, all_0_1_1) = 0, yields:
% 36.71/11.59 | (384) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (sdtlseqdt0(sz0z00, v4) = v5 & sdtlseqdt0(sz0z00, v2) = v3 & sdtasdt0(all_0_1_1, all_0_1_1) = v4 & sdtpldt0(all_0_1_1, all_0_1_1) = v2 & aScalar0(all_0_1_1) = v1 & aScalar0(all_0_1_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v5 = 0 & v3 = 0)))
% 36.71/11.59 |
% 36.71/11.59 | Instantiating formula (16) with all_0_2_2, all_0_1_1 and discharging atoms sdtlseqdt0(sz0z00, all_0_1_1) = 0, sdtlseqdt0(sz0z00, all_0_2_2) = 0, yields:
% 36.71/11.59 | (385) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (sdtlseqdt0(sz0z00, v4) = v5 & sdtlseqdt0(sz0z00, v2) = v3 & sdtasdt0(all_0_1_1, all_0_2_2) = v4 & sdtpldt0(all_0_1_1, all_0_2_2) = v2 & aScalar0(all_0_1_1) = v0 & aScalar0(all_0_2_2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v5 = 0 & v3 = 0)))
% 36.71/11.59 |
% 36.71/11.59 | Instantiating formula (16) with all_0_1_1, all_0_2_2 and discharging atoms sdtlseqdt0(sz0z00, all_0_1_1) = 0, sdtlseqdt0(sz0z00, all_0_2_2) = 0, yields:
% 36.71/11.59 | (386) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (sdtlseqdt0(sz0z00, v4) = v5 & sdtlseqdt0(sz0z00, v2) = v3 & sdtasdt0(all_0_2_2, all_0_1_1) = v4 & sdtpldt0(all_0_2_2, all_0_1_1) = v2 & aScalar0(all_0_1_1) = v1 & aScalar0(all_0_2_2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v5 = 0 & v3 = 0)))
% 36.71/11.59 |
% 36.71/11.59 | Instantiating formula (16) with all_0_4_4, all_0_1_1 and discharging atoms sdtlseqdt0(sz0z00, all_0_1_1) = 0, sdtlseqdt0(sz0z00, all_0_4_4) = 0, yields:
% 36.71/11.59 | (387) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (sdtlseqdt0(sz0z00, v4) = v5 & sdtlseqdt0(sz0z00, v2) = v3 & sdtasdt0(all_0_1_1, all_0_4_4) = v4 & sdtpldt0(all_0_1_1, all_0_4_4) = v2 & aScalar0(all_0_1_1) = v0 & aScalar0(all_0_4_4) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v5 = 0 & v3 = 0)))
% 36.71/11.59 |
% 36.71/11.59 | Instantiating formula (16) with all_0_1_1, all_0_4_4 and discharging atoms sdtlseqdt0(sz0z00, all_0_1_1) = 0, sdtlseqdt0(sz0z00, all_0_4_4) = 0, yields:
% 36.71/11.59 | (388) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (sdtlseqdt0(sz0z00, v4) = v5 & sdtlseqdt0(sz0z00, v2) = v3 & sdtasdt0(all_0_4_4, all_0_1_1) = v4 & sdtpldt0(all_0_4_4, all_0_1_1) = v2 & aScalar0(all_0_1_1) = v1 & aScalar0(all_0_4_4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v5 = 0 & v3 = 0)))
% 36.71/11.59 |
% 36.71/11.59 | Instantiating formula (16) with xG, all_0_1_1 and discharging atoms sdtlseqdt0(sz0z00, all_0_1_1) = 0, sdtlseqdt0(sz0z00, xG) = 0, yields:
% 36.71/11.59 | (389) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (sdtlseqdt0(sz0z00, v4) = v5 & sdtlseqdt0(sz0z00, v2) = v3 & sdtasdt0(all_0_1_1, xG) = v4 & sdtpldt0(all_0_1_1, xG) = v2 & aScalar0(all_0_1_1) = v0 & aScalar0(xG) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v5 = 0 & v3 = 0)))
% 36.71/11.59 |
% 36.71/11.59 | Instantiating formula (16) with all_0_1_1, xG and discharging atoms sdtlseqdt0(sz0z00, all_0_1_1) = 0, sdtlseqdt0(sz0z00, xG) = 0, yields:
% 36.71/11.59 | (390) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (sdtlseqdt0(sz0z00, v4) = v5 & sdtlseqdt0(sz0z00, v2) = v3 & sdtasdt0(xG, all_0_1_1) = v4 & sdtpldt0(xG, all_0_1_1) = v2 & aScalar0(all_0_1_1) = v1 & aScalar0(xG) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v5 = 0 & v3 = 0)))
% 36.71/11.59 |
% 36.71/11.59 | Instantiating formula (16) with xF, all_0_1_1 and discharging atoms sdtlseqdt0(sz0z00, all_0_1_1) = 0, sdtlseqdt0(sz0z00, xF) = 0, yields:
% 36.71/11.59 | (391) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (sdtlseqdt0(sz0z00, v4) = v5 & sdtlseqdt0(sz0z00, v2) = v3 & sdtasdt0(all_0_1_1, xF) = v4 & sdtpldt0(all_0_1_1, xF) = v2 & aScalar0(all_0_1_1) = v0 & aScalar0(xF) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v5 = 0 & v3 = 0)))
% 36.71/11.59 |
% 36.71/11.59 | Instantiating formula (16) with all_0_1_1, xF and discharging atoms sdtlseqdt0(sz0z00, all_0_1_1) = 0, sdtlseqdt0(sz0z00, xF) = 0, yields:
% 36.71/11.59 | (392) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (sdtlseqdt0(sz0z00, v4) = v5 & sdtlseqdt0(sz0z00, v2) = v3 & sdtasdt0(xF, all_0_1_1) = v4 & sdtpldt0(xF, all_0_1_1) = v2 & aScalar0(all_0_1_1) = v1 & aScalar0(xF) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v5 = 0 & v3 = 0)))
% 36.71/11.59 |
% 36.71/11.59 | Instantiating formula (16) with xD, all_0_1_1 and discharging atoms sdtlseqdt0(sz0z00, all_0_1_1) = 0, sdtlseqdt0(sz0z00, xD) = 0, yields:
% 36.71/11.59 | (393) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (sdtlseqdt0(sz0z00, v4) = v5 & sdtlseqdt0(sz0z00, v2) = v3 & sdtasdt0(all_0_1_1, xD) = v4 & sdtpldt0(all_0_1_1, xD) = v2 & aScalar0(all_0_1_1) = v0 & aScalar0(xD) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v5 = 0 & v3 = 0)))
% 36.71/11.59 |
% 36.71/11.59 | Instantiating formula (16) with all_0_1_1, xD and discharging atoms sdtlseqdt0(sz0z00, all_0_1_1) = 0, sdtlseqdt0(sz0z00, xD) = 0, yields:
% 36.71/11.60 | (394) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (sdtlseqdt0(sz0z00, v4) = v5 & sdtlseqdt0(sz0z00, v2) = v3 & sdtasdt0(xD, all_0_1_1) = v4 & sdtpldt0(xD, all_0_1_1) = v2 & aScalar0(all_0_1_1) = v1 & aScalar0(xD) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v5 = 0 & v3 = 0)))
% 36.71/11.60 |
% 36.71/11.60 | Instantiating formula (16) with xC, all_0_1_1 and discharging atoms sdtlseqdt0(sz0z00, all_0_1_1) = 0, sdtlseqdt0(sz0z00, xC) = 0, yields:
% 36.71/11.60 | (395) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (sdtlseqdt0(sz0z00, v4) = v5 & sdtlseqdt0(sz0z00, v2) = v3 & sdtasdt0(all_0_1_1, xC) = v4 & sdtpldt0(all_0_1_1, xC) = v2 & aScalar0(all_0_1_1) = v0 & aScalar0(xC) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v5 = 0 & v3 = 0)))
% 36.71/11.60 |
% 36.71/11.60 | Instantiating formula (16) with all_0_1_1, xC and discharging atoms sdtlseqdt0(sz0z00, all_0_1_1) = 0, sdtlseqdt0(sz0z00, xC) = 0, yields:
% 36.71/11.60 | (396) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (sdtlseqdt0(sz0z00, v4) = v5 & sdtlseqdt0(sz0z00, v2) = v3 & sdtasdt0(xC, all_0_1_1) = v4 & sdtpldt0(xC, all_0_1_1) = v2 & aScalar0(all_0_1_1) = v1 & aScalar0(xC) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v5 = 0 & v3 = 0)))
% 36.71/11.60 |
% 36.71/11.60 | Instantiating (392) with all_259_0_136, all_259_1_137, all_259_2_138, all_259_3_139, all_259_4_140, all_259_5_141 yields:
% 36.71/11.60 | (397) sdtlseqdt0(sz0z00, all_259_1_137) = all_259_0_136 & sdtlseqdt0(sz0z00, all_259_3_139) = all_259_2_138 & sdtasdt0(xF, all_0_1_1) = all_259_1_137 & sdtpldt0(xF, all_0_1_1) = all_259_3_139 & aScalar0(all_0_1_1) = all_259_4_140 & aScalar0(xF) = all_259_5_141 & ( ~ (all_259_4_140 = 0) | ~ (all_259_5_141 = 0) | (all_259_0_136 = 0 & all_259_2_138 = 0))
% 36.71/11.60 |
% 36.71/11.60 | Applying alpha-rule on (397) yields:
% 36.71/11.60 | (398) sdtlseqdt0(sz0z00, all_259_1_137) = all_259_0_136
% 36.71/11.60 | (399) sdtasdt0(xF, all_0_1_1) = all_259_1_137
% 36.71/11.60 | (400) sdtpldt0(xF, all_0_1_1) = all_259_3_139
% 36.71/11.60 | (401) sdtlseqdt0(sz0z00, all_259_3_139) = all_259_2_138
% 36.71/11.60 | (402) aScalar0(xF) = all_259_5_141
% 36.71/11.60 | (403) aScalar0(all_0_1_1) = all_259_4_140
% 36.71/11.60 | (404) ~ (all_259_4_140 = 0) | ~ (all_259_5_141 = 0) | (all_259_0_136 = 0 & all_259_2_138 = 0)
% 36.71/11.60 |
% 36.71/11.60 | Instantiating (396) with all_265_0_154, all_265_1_155, all_265_2_156, all_265_3_157, all_265_4_158, all_265_5_159 yields:
% 36.71/11.60 | (405) sdtlseqdt0(sz0z00, all_265_1_155) = all_265_0_154 & sdtlseqdt0(sz0z00, all_265_3_157) = all_265_2_156 & sdtasdt0(xC, all_0_1_1) = all_265_1_155 & sdtpldt0(xC, all_0_1_1) = all_265_3_157 & aScalar0(all_0_1_1) = all_265_4_158 & aScalar0(xC) = all_265_5_159 & ( ~ (all_265_4_158 = 0) | ~ (all_265_5_159 = 0) | (all_265_0_154 = 0 & all_265_2_156 = 0))
% 36.71/11.60 |
% 36.71/11.60 | Applying alpha-rule on (405) yields:
% 36.71/11.60 | (406) aScalar0(all_0_1_1) = all_265_4_158
% 36.71/11.60 | (407) aScalar0(xC) = all_265_5_159
% 36.71/11.60 | (408) sdtpldt0(xC, all_0_1_1) = all_265_3_157
% 36.71/11.60 | (409) ~ (all_265_4_158 = 0) | ~ (all_265_5_159 = 0) | (all_265_0_154 = 0 & all_265_2_156 = 0)
% 36.71/11.60 | (410) sdtlseqdt0(sz0z00, all_265_3_157) = all_265_2_156
% 36.71/11.60 | (411) sdtasdt0(xC, all_0_1_1) = all_265_1_155
% 36.71/11.60 | (412) sdtlseqdt0(sz0z00, all_265_1_155) = all_265_0_154
% 36.71/11.60 |
% 36.71/11.60 | Instantiating (387) with all_283_0_208, all_283_1_209, all_283_2_210, all_283_3_211, all_283_4_212, all_283_5_213 yields:
% 36.71/11.60 | (413) sdtlseqdt0(sz0z00, all_283_1_209) = all_283_0_208 & sdtlseqdt0(sz0z00, all_283_3_211) = all_283_2_210 & sdtasdt0(all_0_1_1, all_0_4_4) = all_283_1_209 & sdtpldt0(all_0_1_1, all_0_4_4) = all_283_3_211 & aScalar0(all_0_1_1) = all_283_5_213 & aScalar0(all_0_4_4) = all_283_4_212 & ( ~ (all_283_4_212 = 0) | ~ (all_283_5_213 = 0) | (all_283_0_208 = 0 & all_283_2_210 = 0))
% 36.71/11.60 |
% 36.71/11.60 | Applying alpha-rule on (413) yields:
% 36.71/11.60 | (414) sdtlseqdt0(sz0z00, all_283_3_211) = all_283_2_210
% 36.71/11.60 | (415) aScalar0(all_0_4_4) = all_283_4_212
% 36.71/11.60 | (416) ~ (all_283_4_212 = 0) | ~ (all_283_5_213 = 0) | (all_283_0_208 = 0 & all_283_2_210 = 0)
% 36.71/11.60 | (417) aScalar0(all_0_1_1) = all_283_5_213
% 36.71/11.60 | (418) sdtlseqdt0(sz0z00, all_283_1_209) = all_283_0_208
% 36.71/11.60 | (419) sdtasdt0(all_0_1_1, all_0_4_4) = all_283_1_209
% 36.71/11.60 | (420) sdtpldt0(all_0_1_1, all_0_4_4) = all_283_3_211
% 36.71/11.60 |
% 36.71/11.60 | Instantiating (385) with all_287_0_220, all_287_1_221, all_287_2_222, all_287_3_223, all_287_4_224, all_287_5_225 yields:
% 36.71/11.60 | (421) sdtlseqdt0(sz0z00, all_287_1_221) = all_287_0_220 & sdtlseqdt0(sz0z00, all_287_3_223) = all_287_2_222 & sdtasdt0(all_0_1_1, all_0_2_2) = all_287_1_221 & sdtpldt0(all_0_1_1, all_0_2_2) = all_287_3_223 & aScalar0(all_0_1_1) = all_287_5_225 & aScalar0(all_0_2_2) = all_287_4_224 & ( ~ (all_287_4_224 = 0) | ~ (all_287_5_225 = 0) | (all_287_0_220 = 0 & all_287_2_222 = 0))
% 36.71/11.60 |
% 36.71/11.60 | Applying alpha-rule on (421) yields:
% 36.71/11.60 | (422) sdtasdt0(all_0_1_1, all_0_2_2) = all_287_1_221
% 36.71/11.60 | (423) sdtlseqdt0(sz0z00, all_287_3_223) = all_287_2_222
% 36.71/11.60 | (424) aScalar0(all_0_2_2) = all_287_4_224
% 36.71/11.60 | (425) aScalar0(all_0_1_1) = all_287_5_225
% 36.71/11.60 | (426) sdtlseqdt0(sz0z00, all_287_1_221) = all_287_0_220
% 36.71/11.60 | (427) ~ (all_287_4_224 = 0) | ~ (all_287_5_225 = 0) | (all_287_0_220 = 0 & all_287_2_222 = 0)
% 36.71/11.60 | (428) sdtpldt0(all_0_1_1, all_0_2_2) = all_287_3_223
% 36.71/11.60 |
% 36.71/11.60 | Instantiating (384) with all_289_0_226, all_289_1_227, all_289_2_228, all_289_3_229, all_289_4_230, all_289_5_231 yields:
% 36.71/11.60 | (429) sdtlseqdt0(sz0z00, all_289_1_227) = all_289_0_226 & sdtlseqdt0(sz0z00, all_289_3_229) = all_289_2_228 & sdtasdt0(all_0_1_1, all_0_1_1) = all_289_1_227 & sdtpldt0(all_0_1_1, all_0_1_1) = all_289_3_229 & aScalar0(all_0_1_1) = all_289_4_230 & aScalar0(all_0_1_1) = all_289_5_231 & ( ~ (all_289_4_230 = 0) | ~ (all_289_5_231 = 0) | (all_289_0_226 = 0 & all_289_2_228 = 0))
% 36.71/11.60 |
% 36.71/11.60 | Applying alpha-rule on (429) yields:
% 36.71/11.60 | (430) aScalar0(all_0_1_1) = all_289_4_230
% 36.71/11.60 | (431) sdtlseqdt0(sz0z00, all_289_1_227) = all_289_0_226
% 36.71/11.60 | (432) ~ (all_289_4_230 = 0) | ~ (all_289_5_231 = 0) | (all_289_0_226 = 0 & all_289_2_228 = 0)
% 36.71/11.61 | (433) sdtasdt0(all_0_1_1, all_0_1_1) = all_289_1_227
% 36.71/11.61 | (434) sdtpldt0(all_0_1_1, all_0_1_1) = all_289_3_229
% 36.71/11.61 | (435) sdtlseqdt0(sz0z00, all_289_3_229) = all_289_2_228
% 36.71/11.61 | (436) aScalar0(all_0_1_1) = all_289_5_231
% 36.71/11.61 |
% 36.71/11.61 | Instantiating (390) with all_293_0_238, all_293_1_239, all_293_2_240, all_293_3_241, all_293_4_242, all_293_5_243 yields:
% 36.71/11.61 | (437) sdtlseqdt0(sz0z00, all_293_1_239) = all_293_0_238 & sdtlseqdt0(sz0z00, all_293_3_241) = all_293_2_240 & sdtasdt0(xG, all_0_1_1) = all_293_1_239 & sdtpldt0(xG, all_0_1_1) = all_293_3_241 & aScalar0(all_0_1_1) = all_293_4_242 & aScalar0(xG) = all_293_5_243 & ( ~ (all_293_4_242 = 0) | ~ (all_293_5_243 = 0) | (all_293_0_238 = 0 & all_293_2_240 = 0))
% 36.71/11.61 |
% 36.71/11.61 | Applying alpha-rule on (437) yields:
% 36.71/11.61 | (438) aScalar0(xG) = all_293_5_243
% 36.71/11.61 | (439) sdtpldt0(xG, all_0_1_1) = all_293_3_241
% 36.71/11.61 | (440) sdtlseqdt0(sz0z00, all_293_3_241) = all_293_2_240
% 36.71/11.61 | (441) sdtlseqdt0(sz0z00, all_293_1_239) = all_293_0_238
% 36.71/11.61 | (442) ~ (all_293_4_242 = 0) | ~ (all_293_5_243 = 0) | (all_293_0_238 = 0 & all_293_2_240 = 0)
% 36.71/11.61 | (443) aScalar0(all_0_1_1) = all_293_4_242
% 36.71/11.61 | (444) sdtasdt0(xG, all_0_1_1) = all_293_1_239
% 36.71/11.61 |
% 36.71/11.61 | Instantiating (389) with all_295_0_244, all_295_1_245, all_295_2_246, all_295_3_247, all_295_4_248, all_295_5_249 yields:
% 36.71/11.61 | (445) sdtlseqdt0(sz0z00, all_295_1_245) = all_295_0_244 & sdtlseqdt0(sz0z00, all_295_3_247) = all_295_2_246 & sdtasdt0(all_0_1_1, xG) = all_295_1_245 & sdtpldt0(all_0_1_1, xG) = all_295_3_247 & aScalar0(all_0_1_1) = all_295_5_249 & aScalar0(xG) = all_295_4_248 & ( ~ (all_295_4_248 = 0) | ~ (all_295_5_249 = 0) | (all_295_0_244 = 0 & all_295_2_246 = 0))
% 36.71/11.61 |
% 36.71/11.61 | Applying alpha-rule on (445) yields:
% 36.71/11.61 | (446) ~ (all_295_4_248 = 0) | ~ (all_295_5_249 = 0) | (all_295_0_244 = 0 & all_295_2_246 = 0)
% 36.71/11.61 | (447) aScalar0(all_0_1_1) = all_295_5_249
% 36.71/11.61 | (448) sdtlseqdt0(sz0z00, all_295_3_247) = all_295_2_246
% 36.71/11.61 | (449) sdtpldt0(all_0_1_1, xG) = all_295_3_247
% 36.71/11.61 | (450) sdtlseqdt0(sz0z00, all_295_1_245) = all_295_0_244
% 36.71/11.61 | (451) sdtasdt0(all_0_1_1, xG) = all_295_1_245
% 36.71/11.61 | (452) aScalar0(xG) = all_295_4_248
% 36.71/11.61 |
% 36.71/11.61 | Instantiating (386) with all_297_0_250, all_297_1_251, all_297_2_252, all_297_3_253, all_297_4_254, all_297_5_255 yields:
% 36.71/11.61 | (453) sdtlseqdt0(sz0z00, all_297_1_251) = all_297_0_250 & sdtlseqdt0(sz0z00, all_297_3_253) = all_297_2_252 & sdtasdt0(all_0_2_2, all_0_1_1) = all_297_1_251 & sdtpldt0(all_0_2_2, all_0_1_1) = all_297_3_253 & aScalar0(all_0_1_1) = all_297_4_254 & aScalar0(all_0_2_2) = all_297_5_255 & ( ~ (all_297_4_254 = 0) | ~ (all_297_5_255 = 0) | (all_297_0_250 = 0 & all_297_2_252 = 0))
% 36.71/11.61 |
% 36.71/11.61 | Applying alpha-rule on (453) yields:
% 36.71/11.61 | (454) aScalar0(all_0_2_2) = all_297_5_255
% 36.71/11.61 | (455) sdtlseqdt0(sz0z00, all_297_1_251) = all_297_0_250
% 36.71/11.61 | (456) sdtlseqdt0(sz0z00, all_297_3_253) = all_297_2_252
% 36.71/11.61 | (457) ~ (all_297_4_254 = 0) | ~ (all_297_5_255 = 0) | (all_297_0_250 = 0 & all_297_2_252 = 0)
% 36.71/11.61 | (458) aScalar0(all_0_1_1) = all_297_4_254
% 36.71/11.61 | (459) sdtasdt0(all_0_2_2, all_0_1_1) = all_297_1_251
% 36.71/11.61 | (460) sdtpldt0(all_0_2_2, all_0_1_1) = all_297_3_253
% 36.71/11.61 |
% 36.71/11.61 | Instantiating (391) with all_299_0_256, all_299_1_257, all_299_2_258, all_299_3_259, all_299_4_260, all_299_5_261 yields:
% 36.71/11.61 | (461) sdtlseqdt0(sz0z00, all_299_1_257) = all_299_0_256 & sdtlseqdt0(sz0z00, all_299_3_259) = all_299_2_258 & sdtasdt0(all_0_1_1, xF) = all_299_1_257 & sdtpldt0(all_0_1_1, xF) = all_299_3_259 & aScalar0(all_0_1_1) = all_299_5_261 & aScalar0(xF) = all_299_4_260 & ( ~ (all_299_4_260 = 0) | ~ (all_299_5_261 = 0) | (all_299_0_256 = 0 & all_299_2_258 = 0))
% 36.71/11.61 |
% 36.71/11.61 | Applying alpha-rule on (461) yields:
% 36.71/11.61 | (462) aScalar0(all_0_1_1) = all_299_5_261
% 36.71/11.61 | (463) sdtasdt0(all_0_1_1, xF) = all_299_1_257
% 36.71/11.61 | (464) aScalar0(xF) = all_299_4_260
% 36.71/11.61 | (465) sdtpldt0(all_0_1_1, xF) = all_299_3_259
% 36.71/11.61 | (466) sdtlseqdt0(sz0z00, all_299_1_257) = all_299_0_256
% 37.08/11.61 | (467) sdtlseqdt0(sz0z00, all_299_3_259) = all_299_2_258
% 37.08/11.61 | (468) ~ (all_299_4_260 = 0) | ~ (all_299_5_261 = 0) | (all_299_0_256 = 0 & all_299_2_258 = 0)
% 37.08/11.61 |
% 37.08/11.61 | Instantiating (395) with all_317_0_310, all_317_1_311, all_317_2_312, all_317_3_313, all_317_4_314, all_317_5_315 yields:
% 37.08/11.61 | (469) sdtlseqdt0(sz0z00, all_317_1_311) = all_317_0_310 & sdtlseqdt0(sz0z00, all_317_3_313) = all_317_2_312 & sdtasdt0(all_0_1_1, xC) = all_317_1_311 & sdtpldt0(all_0_1_1, xC) = all_317_3_313 & aScalar0(all_0_1_1) = all_317_5_315 & aScalar0(xC) = all_317_4_314 & ( ~ (all_317_4_314 = 0) | ~ (all_317_5_315 = 0) | (all_317_0_310 = 0 & all_317_2_312 = 0))
% 37.08/11.61 |
% 37.08/11.61 | Applying alpha-rule on (469) yields:
% 37.08/11.61 | (470) sdtlseqdt0(sz0z00, all_317_1_311) = all_317_0_310
% 37.08/11.61 | (471) aScalar0(xC) = all_317_4_314
% 37.08/11.61 | (472) aScalar0(all_0_1_1) = all_317_5_315
% 37.08/11.61 | (473) sdtlseqdt0(sz0z00, all_317_3_313) = all_317_2_312
% 37.08/11.61 | (474) sdtpldt0(all_0_1_1, xC) = all_317_3_313
% 37.08/11.61 | (475) ~ (all_317_4_314 = 0) | ~ (all_317_5_315 = 0) | (all_317_0_310 = 0 & all_317_2_312 = 0)
% 37.08/11.61 | (476) sdtasdt0(all_0_1_1, xC) = all_317_1_311
% 37.08/11.61 |
% 37.08/11.61 | Instantiating (394) with all_321_0_322, all_321_1_323, all_321_2_324, all_321_3_325, all_321_4_326, all_321_5_327 yields:
% 37.08/11.61 | (477) sdtlseqdt0(sz0z00, all_321_1_323) = all_321_0_322 & sdtlseqdt0(sz0z00, all_321_3_325) = all_321_2_324 & sdtasdt0(xD, all_0_1_1) = all_321_1_323 & sdtpldt0(xD, all_0_1_1) = all_321_3_325 & aScalar0(all_0_1_1) = all_321_4_326 & aScalar0(xD) = all_321_5_327 & ( ~ (all_321_4_326 = 0) | ~ (all_321_5_327 = 0) | (all_321_0_322 = 0 & all_321_2_324 = 0))
% 37.08/11.61 |
% 37.08/11.61 | Applying alpha-rule on (477) yields:
% 37.08/11.61 | (478) sdtpldt0(xD, all_0_1_1) = all_321_3_325
% 37.08/11.61 | (479) ~ (all_321_4_326 = 0) | ~ (all_321_5_327 = 0) | (all_321_0_322 = 0 & all_321_2_324 = 0)
% 37.08/11.61 | (480) aScalar0(all_0_1_1) = all_321_4_326
% 37.08/11.61 | (481) sdtlseqdt0(sz0z00, all_321_1_323) = all_321_0_322
% 37.08/11.62 | (482) sdtlseqdt0(sz0z00, all_321_3_325) = all_321_2_324
% 37.08/11.62 | (483) aScalar0(xD) = all_321_5_327
% 37.08/11.62 | (484) sdtasdt0(xD, all_0_1_1) = all_321_1_323
% 37.08/11.62 |
% 37.08/11.62 | Instantiating (393) with all_323_0_328, all_323_1_329, all_323_2_330, all_323_3_331, all_323_4_332, all_323_5_333 yields:
% 37.08/11.62 | (485) sdtlseqdt0(sz0z00, all_323_1_329) = all_323_0_328 & sdtlseqdt0(sz0z00, all_323_3_331) = all_323_2_330 & sdtasdt0(all_0_1_1, xD) = all_323_1_329 & sdtpldt0(all_0_1_1, xD) = all_323_3_331 & aScalar0(all_0_1_1) = all_323_5_333 & aScalar0(xD) = all_323_4_332 & ( ~ (all_323_4_332 = 0) | ~ (all_323_5_333 = 0) | (all_323_0_328 = 0 & all_323_2_330 = 0))
% 37.08/11.62 |
% 37.08/11.62 | Applying alpha-rule on (485) yields:
% 37.08/11.62 | (486) sdtasdt0(all_0_1_1, xD) = all_323_1_329
% 37.08/11.62 | (487) sdtpldt0(all_0_1_1, xD) = all_323_3_331
% 37.08/11.62 | (488) aScalar0(all_0_1_1) = all_323_5_333
% 37.08/11.62 | (489) sdtlseqdt0(sz0z00, all_323_3_331) = all_323_2_330
% 37.08/11.62 | (490) sdtlseqdt0(sz0z00, all_323_1_329) = all_323_0_328
% 37.08/11.62 | (491) ~ (all_323_4_332 = 0) | ~ (all_323_5_333 = 0) | (all_323_0_328 = 0 & all_323_2_330 = 0)
% 37.08/11.62 | (492) aScalar0(xD) = all_323_4_332
% 37.08/11.62 |
% 37.08/11.62 | Instantiating (388) with all_343_0_388, all_343_1_389, all_343_2_390, all_343_3_391, all_343_4_392, all_343_5_393 yields:
% 37.08/11.62 | (493) sdtlseqdt0(sz0z00, all_343_1_389) = all_343_0_388 & sdtlseqdt0(sz0z00, all_343_3_391) = all_343_2_390 & sdtasdt0(all_0_4_4, all_0_1_1) = all_343_1_389 & sdtpldt0(all_0_4_4, all_0_1_1) = all_343_3_391 & aScalar0(all_0_1_1) = all_343_4_392 & aScalar0(all_0_4_4) = all_343_5_393 & ( ~ (all_343_4_392 = 0) | ~ (all_343_5_393 = 0) | (all_343_0_388 = 0 & all_343_2_390 = 0))
% 37.08/11.62 |
% 37.08/11.62 | Applying alpha-rule on (493) yields:
% 37.08/11.62 | (494) sdtlseqdt0(sz0z00, all_343_3_391) = all_343_2_390
% 37.08/11.62 | (495) sdtlseqdt0(sz0z00, all_343_1_389) = all_343_0_388
% 37.08/11.62 | (496) ~ (all_343_4_392 = 0) | ~ (all_343_5_393 = 0) | (all_343_0_388 = 0 & all_343_2_390 = 0)
% 37.08/11.62 | (497) aScalar0(all_0_4_4) = all_343_5_393
% 37.08/11.62 | (498) aScalar0(all_0_1_1) = all_343_4_392
% 37.08/11.62 | (499) sdtpldt0(all_0_4_4, all_0_1_1) = all_343_3_391
% 37.08/11.62 | (500) sdtasdt0(all_0_4_4, all_0_1_1) = all_343_1_389
% 37.08/11.62 |
% 37.08/11.62 +-Applying beta-rule and splitting (383), into two cases.
% 37.08/11.62 |-Branch one:
% 37.08/11.62 | (501) all_86_2_101 = 0
% 37.08/11.62 |
% 37.08/11.62 | Equations (501) can reduce 376 to:
% 37.08/11.62 | (180) $false
% 37.08/11.62 |
% 37.08/11.62 |-The branch is then unsatisfiable
% 37.08/11.62 |-Branch two:
% 37.08/11.62 | (376) ~ (all_86_2_101 = 0)
% 37.08/11.62 | (504) ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(all_0_1_1, all_0_1_1) = v2 & aScalar0(all_0_1_1) = v1 & aScalar0(all_0_1_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 37.08/11.62 |
% 37.08/11.62 | Instantiating (504) with all_353_0_406, all_353_1_407, all_353_2_408 yields:
% 37.08/11.62 | (505) sdtlseqdt0(all_0_1_1, all_0_1_1) = all_353_0_406 & aScalar0(all_0_1_1) = all_353_1_407 & aScalar0(all_0_1_1) = all_353_2_408 & ( ~ (all_353_1_407 = 0) | ~ (all_353_2_408 = 0) | all_353_0_406 = 0)
% 37.08/11.62 |
% 37.08/11.62 | Applying alpha-rule on (505) yields:
% 37.08/11.62 | (506) sdtlseqdt0(all_0_1_1, all_0_1_1) = all_353_0_406
% 37.08/11.62 | (507) aScalar0(all_0_1_1) = all_353_1_407
% 37.08/11.62 | (508) aScalar0(all_0_1_1) = all_353_2_408
% 37.08/11.62 | (509) ~ (all_353_1_407 = 0) | ~ (all_353_2_408 = 0) | all_353_0_406 = 0
% 37.08/11.62 |
% 37.08/11.62 +-Applying beta-rule and splitting (382), into two cases.
% 37.08/11.62 |-Branch one:
% 37.08/11.62 | (501) all_86_2_101 = 0
% 37.08/11.62 |
% 37.08/11.62 | Equations (501) can reduce 376 to:
% 37.08/11.62 | (180) $false
% 37.08/11.62 |
% 37.08/11.62 |-The branch is then unsatisfiable
% 37.08/11.62 |-Branch two:
% 37.08/11.62 | (376) ~ (all_86_2_101 = 0)
% 37.08/11.62 | (513) ? [v0] : ( ~ (v0 = 0) & aScalar0(all_0_1_1) = v0)
% 37.08/11.62 |
% 37.08/11.62 | Instantiating (513) with all_364_0_410 yields:
% 37.08/11.62 | (514) ~ (all_364_0_410 = 0) & aScalar0(all_0_1_1) = all_364_0_410
% 37.08/11.62 |
% 37.08/11.62 | Applying alpha-rule on (514) yields:
% 37.08/11.62 | (515) ~ (all_364_0_410 = 0)
% 37.08/11.62 | (516) aScalar0(all_0_1_1) = all_364_0_410
% 37.08/11.62 |
% 37.08/11.62 | Instantiating formula (57) with all_0_1_1, all_353_1_407, all_364_0_410 and discharging atoms aScalar0(all_0_1_1) = all_364_0_410, aScalar0(all_0_1_1) = all_353_1_407, yields:
% 37.08/11.62 | (517) all_364_0_410 = all_353_1_407
% 37.08/11.62 |
% 37.08/11.62 | Instantiating formula (57) with all_0_1_1, all_323_5_333, all_343_4_392 and discharging atoms aScalar0(all_0_1_1) = all_343_4_392, aScalar0(all_0_1_1) = all_323_5_333, yields:
% 37.08/11.62 | (518) all_343_4_392 = all_323_5_333
% 37.08/11.62 |
% 37.08/11.62 | Instantiating formula (57) with all_0_1_1, all_321_4_326, all_353_2_408 and discharging atoms aScalar0(all_0_1_1) = all_353_2_408, aScalar0(all_0_1_1) = all_321_4_326, yields:
% 37.08/11.62 | (519) all_353_2_408 = all_321_4_326
% 37.08/11.62 |
% 37.08/11.62 | Instantiating formula (57) with all_0_1_1, all_317_5_315, all_353_1_407 and discharging atoms aScalar0(all_0_1_1) = all_353_1_407, aScalar0(all_0_1_1) = all_317_5_315, yields:
% 37.08/11.62 | (520) all_353_1_407 = all_317_5_315
% 37.08/11.62 |
% 37.08/11.62 | Instantiating formula (57) with all_0_1_1, all_299_5_261, all_317_5_315 and discharging atoms aScalar0(all_0_1_1) = all_317_5_315, aScalar0(all_0_1_1) = all_299_5_261, yields:
% 37.08/11.62 | (521) all_317_5_315 = all_299_5_261
% 37.08/11.62 |
% 37.08/11.62 | Instantiating formula (57) with all_0_1_1, all_297_4_254, all_299_5_261 and discharging atoms aScalar0(all_0_1_1) = all_299_5_261, aScalar0(all_0_1_1) = all_297_4_254, yields:
% 37.08/11.62 | (522) all_299_5_261 = all_297_4_254
% 37.08/11.62 |
% 37.08/11.62 | Instantiating formula (57) with all_0_1_1, all_295_5_249, all_297_4_254 and discharging atoms aScalar0(all_0_1_1) = all_297_4_254, aScalar0(all_0_1_1) = all_295_5_249, yields:
% 37.08/11.62 | (523) all_297_4_254 = all_295_5_249
% 37.08/11.62 |
% 37.08/11.62 | Instantiating formula (57) with all_0_1_1, all_293_4_242, all_323_5_333 and discharging atoms aScalar0(all_0_1_1) = all_323_5_333, aScalar0(all_0_1_1) = all_293_4_242, yields:
% 37.08/11.62 | (524) all_323_5_333 = all_293_4_242
% 37.08/11.62 |
% 37.08/11.62 | Instantiating formula (57) with all_0_1_1, all_293_4_242, all_295_5_249 and discharging atoms aScalar0(all_0_1_1) = all_295_5_249, aScalar0(all_0_1_1) = all_293_4_242, yields:
% 37.08/11.62 | (525) all_295_5_249 = all_293_4_242
% 37.08/11.62 |
% 37.08/11.62 | Instantiating formula (57) with all_0_1_1, all_289_4_230, all_364_0_410 and discharging atoms aScalar0(all_0_1_1) = all_364_0_410, aScalar0(all_0_1_1) = all_289_4_230, yields:
% 37.08/11.62 | (526) all_364_0_410 = all_289_4_230
% 37.08/11.62 |
% 37.08/11.62 | Instantiating formula (57) with all_0_1_1, all_289_5_231, 0 and discharging atoms aScalar0(all_0_1_1) = all_289_5_231, aScalar0(all_0_1_1) = 0, yields:
% 37.08/11.63 | (527) all_289_5_231 = 0
% 37.08/11.63 |
% 37.08/11.63 | Instantiating formula (57) with all_0_1_1, all_287_5_225, all_321_4_326 and discharging atoms aScalar0(all_0_1_1) = all_321_4_326, aScalar0(all_0_1_1) = all_287_5_225, yields:
% 37.08/11.63 | (528) all_321_4_326 = all_287_5_225
% 37.08/11.63 |
% 37.08/11.63 | Instantiating formula (57) with all_0_1_1, all_287_5_225, all_289_5_231 and discharging atoms aScalar0(all_0_1_1) = all_289_5_231, aScalar0(all_0_1_1) = all_287_5_225, yields:
% 37.08/11.63 | (529) all_289_5_231 = all_287_5_225
% 37.08/11.63 |
% 37.08/11.63 | Instantiating formula (57) with all_0_1_1, all_283_5_213, all_293_4_242 and discharging atoms aScalar0(all_0_1_1) = all_293_4_242, aScalar0(all_0_1_1) = all_283_5_213, yields:
% 37.08/11.63 | (530) all_293_4_242 = all_283_5_213
% 37.08/11.63 |
% 37.08/11.63 | Instantiating formula (57) with all_0_1_1, all_283_5_213, all_287_5_225 and discharging atoms aScalar0(all_0_1_1) = all_287_5_225, aScalar0(all_0_1_1) = all_283_5_213, yields:
% 37.08/11.63 | (531) all_287_5_225 = all_283_5_213
% 37.08/11.63 |
% 37.08/11.63 | Instantiating formula (57) with all_0_1_1, all_265_4_158, all_353_2_408 and discharging atoms aScalar0(all_0_1_1) = all_353_2_408, aScalar0(all_0_1_1) = all_265_4_158, yields:
% 37.08/11.63 | (532) all_353_2_408 = all_265_4_158
% 37.08/11.63 |
% 37.08/11.63 | Instantiating formula (57) with all_0_1_1, all_259_4_140, all_343_4_392 and discharging atoms aScalar0(all_0_1_1) = all_343_4_392, aScalar0(all_0_1_1) = all_259_4_140, yields:
% 37.08/11.63 | (533) all_343_4_392 = all_259_4_140
% 37.08/11.63 |
% 37.08/11.63 | Combining equations (517,526) yields a new equation:
% 37.08/11.63 | (534) all_353_1_407 = all_289_4_230
% 37.08/11.63 |
% 37.08/11.63 | Simplifying 534 yields:
% 37.08/11.63 | (535) all_353_1_407 = all_289_4_230
% 37.08/11.63 |
% 37.08/11.63 | Combining equations (520,535) yields a new equation:
% 37.08/11.63 | (536) all_317_5_315 = all_289_4_230
% 37.08/11.63 |
% 37.08/11.63 | Simplifying 536 yields:
% 37.08/11.63 | (537) all_317_5_315 = all_289_4_230
% 37.08/11.63 |
% 37.08/11.63 | Combining equations (519,532) yields a new equation:
% 37.08/11.63 | (538) all_321_4_326 = all_265_4_158
% 37.08/11.63 |
% 37.08/11.63 | Simplifying 538 yields:
% 37.08/11.63 | (539) all_321_4_326 = all_265_4_158
% 37.08/11.63 |
% 37.08/11.63 | Combining equations (518,533) yields a new equation:
% 37.08/11.63 | (540) all_323_5_333 = all_259_4_140
% 37.08/11.63 |
% 37.08/11.63 | Simplifying 540 yields:
% 37.08/11.63 | (541) all_323_5_333 = all_259_4_140
% 37.08/11.63 |
% 37.08/11.63 | Combining equations (524,541) yields a new equation:
% 37.08/11.63 | (542) all_293_4_242 = all_259_4_140
% 37.08/11.63 |
% 37.08/11.63 | Simplifying 542 yields:
% 37.08/11.63 | (543) all_293_4_242 = all_259_4_140
% 37.08/11.63 |
% 37.08/11.63 | Combining equations (528,539) yields a new equation:
% 37.08/11.63 | (544) all_287_5_225 = all_265_4_158
% 37.08/11.63 |
% 37.08/11.63 | Simplifying 544 yields:
% 37.08/11.63 | (545) all_287_5_225 = all_265_4_158
% 37.08/11.63 |
% 37.08/11.63 | Combining equations (521,537) yields a new equation:
% 37.08/11.63 | (546) all_299_5_261 = all_289_4_230
% 37.08/11.63 |
% 37.08/11.63 | Simplifying 546 yields:
% 37.08/11.63 | (547) all_299_5_261 = all_289_4_230
% 37.08/11.63 |
% 37.08/11.63 | Combining equations (522,547) yields a new equation:
% 37.08/11.63 | (548) all_297_4_254 = all_289_4_230
% 37.08/11.63 |
% 37.08/11.63 | Simplifying 548 yields:
% 37.08/11.63 | (549) all_297_4_254 = all_289_4_230
% 37.08/11.63 |
% 37.08/11.63 | Combining equations (523,549) yields a new equation:
% 37.08/11.63 | (550) all_295_5_249 = all_289_4_230
% 37.08/11.63 |
% 37.08/11.63 | Simplifying 550 yields:
% 37.08/11.63 | (551) all_295_5_249 = all_289_4_230
% 37.08/11.63 |
% 37.08/11.63 | Combining equations (525,551) yields a new equation:
% 37.08/11.63 | (552) all_293_4_242 = all_289_4_230
% 37.08/11.63 |
% 37.08/11.63 | Simplifying 552 yields:
% 37.08/11.63 | (553) all_293_4_242 = all_289_4_230
% 37.08/11.63 |
% 37.08/11.63 | Combining equations (530,553) yields a new equation:
% 37.08/11.63 | (554) all_289_4_230 = all_283_5_213
% 37.08/11.63 |
% 37.08/11.63 | Combining equations (543,553) yields a new equation:
% 37.08/11.63 | (555) all_289_4_230 = all_259_4_140
% 37.08/11.63 |
% 37.08/11.63 | Combining equations (554,555) yields a new equation:
% 37.08/11.63 | (556) all_283_5_213 = all_259_4_140
% 37.08/11.63 |
% 37.08/11.63 | Simplifying 556 yields:
% 37.08/11.63 | (557) all_283_5_213 = all_259_4_140
% 37.08/11.63 |
% 37.08/11.63 | Combining equations (529,527) yields a new equation:
% 37.08/11.63 | (558) all_287_5_225 = 0
% 37.08/11.63 |
% 37.08/11.63 | Simplifying 558 yields:
% 37.08/11.63 | (559) all_287_5_225 = 0
% 37.08/11.63 |
% 37.08/11.63 | Combining equations (531,545) yields a new equation:
% 37.08/11.63 | (560) all_283_5_213 = all_265_4_158
% 37.08/11.63 |
% 37.08/11.63 | Simplifying 560 yields:
% 37.08/11.63 | (561) all_283_5_213 = all_265_4_158
% 37.08/11.63 |
% 37.08/11.63 | Combining equations (559,545) yields a new equation:
% 37.08/11.63 | (562) all_265_4_158 = 0
% 37.08/11.63 |
% 37.08/11.63 | Combining equations (561,557) yields a new equation:
% 37.08/11.63 | (563) all_265_4_158 = all_259_4_140
% 37.08/11.63 |
% 37.08/11.63 | Simplifying 563 yields:
% 37.08/11.63 | (564) all_265_4_158 = all_259_4_140
% 37.08/11.63 |
% 37.08/11.63 | Combining equations (562,564) yields a new equation:
% 37.08/11.63 | (565) all_259_4_140 = 0
% 37.08/11.63 |
% 37.08/11.63 | Combining equations (565,555) yields a new equation:
% 37.08/11.63 | (566) all_289_4_230 = 0
% 37.08/11.63 |
% 37.08/11.63 | Combining equations (566,526) yields a new equation:
% 37.08/11.63 | (567) all_364_0_410 = 0
% 37.08/11.63 |
% 37.08/11.63 | Equations (567) can reduce 515 to:
% 37.08/11.63 | (180) $false
% 37.08/11.63 |
% 37.08/11.63 |-The branch is then unsatisfiable
% 37.08/11.63 |-Branch two:
% 37.08/11.63 | (501) all_86_2_101 = 0
% 37.08/11.63 | (570) ~ (all_86_3_102 = 0) | ~ (all_86_4_103 = 0) | ~ (all_86_5_104 = 0) | ~ (all_86_6_105 = 0)
% 37.08/11.63 |
% 37.08/11.63 +-Applying beta-rule and splitting (570), into two cases.
% 37.08/11.63 |-Branch one:
% 37.08/11.63 | (571) ~ (all_86_3_102 = 0)
% 37.08/11.63 |
% 37.08/11.63 | Equations (348) can reduce 571 to:
% 37.08/11.63 | (180) $false
% 37.08/11.63 |
% 37.08/11.63 |-The branch is then unsatisfiable
% 37.08/11.63 |-Branch two:
% 37.08/11.63 | (348) all_86_3_102 = 0
% 37.08/11.63 | (574) ~ (all_86_4_103 = 0) | ~ (all_86_5_104 = 0) | ~ (all_86_6_105 = 0)
% 37.08/11.63 |
% 37.08/11.63 +-Applying beta-rule and splitting (574), into two cases.
% 37.08/11.63 |-Branch one:
% 37.08/11.63 | (575) ~ (all_86_4_103 = 0)
% 37.08/11.63 |
% 37.08/11.64 | Equations (362) can reduce 575 to:
% 37.08/11.64 | (180) $false
% 37.08/11.64 |
% 37.08/11.64 |-The branch is then unsatisfiable
% 37.08/11.64 |-Branch two:
% 37.08/11.64 | (362) all_86_4_103 = 0
% 37.08/11.64 | (578) ~ (all_86_5_104 = 0) | ~ (all_86_6_105 = 0)
% 37.08/11.64 |
% 37.08/11.64 +-Applying beta-rule and splitting (578), into two cases.
% 37.08/11.64 |-Branch one:
% 37.08/11.64 | (579) ~ (all_86_5_104 = 0)
% 37.08/11.64 |
% 37.08/11.64 | Equations (340) can reduce 579 to:
% 37.08/11.64 | (180) $false
% 37.08/11.64 |
% 37.08/11.64 |-The branch is then unsatisfiable
% 37.08/11.64 |-Branch two:
% 37.08/11.64 | (340) all_86_5_104 = 0
% 37.08/11.64 | (582) ~ (all_86_6_105 = 0)
% 37.08/11.64 |
% 37.08/11.64 | Equations (339) can reduce 582 to:
% 37.08/11.64 | (180) $false
% 37.08/11.64 |
% 37.08/11.64 |-The branch is then unsatisfiable
% 37.08/11.64 % SZS output end Proof for theBenchmark
% 37.08/11.64
% 37.08/11.64 11033ms
%------------------------------------------------------------------------------