TSTP Solution File: RNG057+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : RNG057+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n027.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 19.52s 6.42s
% Output : Proof 37.01s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : RNG057+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon May 30 14:55:31 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.56/0.57 ____ _
% 0.56/0.57 ___ / __ \_____(_)___ ________ __________
% 0.56/0.57 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.56/0.57 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.56/0.57 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.56/0.57
% 0.56/0.57 A Theorem Prover for First-Order Logic
% 0.56/0.57 (ePrincess v.1.0)
% 0.56/0.57
% 0.56/0.57 (c) Philipp Rümmer, 2009-2015
% 0.56/0.57 (c) Peter Backeman, 2014-2015
% 0.56/0.57 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.56/0.58 Free software under GNU Lesser General Public License (LGPL).
% 0.56/0.58 Bug reports to peter@backeman.se
% 0.56/0.58
% 0.56/0.58 For more information, visit http://user.uu.se/~petba168/breu/
% 0.56/0.58
% 0.56/0.58 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.61/0.62 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.75/0.98 Prover 0: Preprocessing ...
% 3.66/1.47 Prover 0: Constructing countermodel ...
% 17.43/5.91 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 17.53/5.97 Prover 1: Preprocessing ...
% 18.31/6.08 Prover 1: Constructing countermodel ...
% 19.52/6.42 Prover 1: proved (506ms)
% 19.52/6.42 Prover 0: stopped
% 19.52/6.42
% 19.52/6.42 No countermodel exists, formula is valid
% 19.52/6.42 % SZS status Theorem for theBenchmark
% 19.52/6.42
% 19.52/6.42 Generating proof ... found it (size 369)
% 36.31/11.54
% 36.31/11.54 % SZS output start Proof for theBenchmark
% 36.31/11.54 Assumed formulas after preprocessing and simplification:
% 36.31/11.54 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ( ~ (v6 = 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(xt) = v1 & aDimensionOf0(xs) = v1 & sdtlseqdt0(v4, xN) = v6 & sdtlseqdt0(v2, v3) = 0 & smndt0(sz0z00) = v0 & sdtasdt0(v5, v3) = xN & sdtasdt0(v5, v2) = v4 & sdtasdt0(xP, xP) = v4 & sdtasdt0(xR, xS) = xN & sdtasdt0(xH, xH) = v5 & sdtasdt0(xF, xD) = xS & sdtasdt0(xE, xH) = xP & sdtasdt0(xE, xE) = v2 & sdtasdt0(xC, xG) = xR & sdtasdt0(xC, xD) = v3 & 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 & aNaturalNumber0(sz00) = 0 & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (sdtasdt0(v8, v10) = v15) | ~ (sdtasdt0(v8, v9) = v14) | ~ (sdtasdt0(v7, v10) = v12) | ~ (sdtasdt0(v7, v9) = v11) | ~ (sdtpldt0(v14, v15) = v16) | ~ (sdtpldt0(v13, v16) = v17) | ~ (sdtpldt0(v11, v12) = v13) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : (sdtasdt0(v22, v23) = v24 & sdtpldt0(v9, v10) = v23 & sdtpldt0(v7, v8) = v22 & aScalar0(v10) = v21 & aScalar0(v9) = v20 & aScalar0(v8) = v19 & aScalar0(v7) = v18 & ( ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | v24 = v17))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v9 = sz00 | ~ (sdtasasdt0(v10, v11) = v12) | ~ (sziznziztdt0(v8) = v11) | ~ (sziznziztdt0(v7) = v10) | ~ (sdtlbdtrb0(v8, v9) = v14) | ~ (sdtlbdtrb0(v7, v9) = v13) | ~ (aDimensionOf0(v8) = v9) | ~ (aDimensionOf0(v7) = v9) | ~ (sdtasdt0(v13, v14) = v15) | ~ (sdtpldt0(v12, v15) = v16) | ? [v17] : ? [v18] : ? [v19] : (sdtasasdt0(v7, v8) = v19 & aVector0(v8) = v18 & aVector0(v7) = v17 & ( ~ (v18 = 0) | ~ (v17 = 0) | v19 = v16))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (sdtasasdt0(v8, v8) = v12) | ~ (sdtasasdt0(v7, v8) = v9) | ~ (sdtasasdt0(v7, v7) = v11) | ~ (sdtlseqdt0(v10, v13) = v14) | ~ (sdtasdt0(v11, v12) = v13) | ~ (sdtasdt0(v9, v9) = v10) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : (aVector0(v8) = v16 & aVector0(v7) = v15 & aDimensionOf0(v8) = v18 & aDimensionOf0(v7) = v17 & iLess0(v17, v1) = v19 & ( ~ (v19 = 0) | ~ (v18 = v17) | ~ (v16 = 0) | ~ (v15 = 0)))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (sdtlseqdt0(v11, v12) = v13) | ~ (sdtasdt0(v8, v10) = v12) | ~ (sdtasdt0(v7, v9) = v11) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : (sdtlseqdt0(v9, v10) = v20 & sdtlseqdt0(v7, v8) = v18 & sdtlseqdt0(sz0z00, v9) = v19 & aScalar0(v10) = v17 & aScalar0(v9) = v16 & aScalar0(v8) = v15 & aScalar0(v7) = v14 & ( ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0) | ~ (v14 = 0)))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (sdtlseqdt0(v11, v12) = v13) | ~ (sdtpldt0(v8, v10) = v12) | ~ (sdtpldt0(v7, v9) = v11) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : (sdtlseqdt0(v9, v10) = v19 & sdtlseqdt0(v7, v8) = v18 & aScalar0(v10) = v17 & aScalar0(v9) = v16 & aScalar0(v8) = v15 & aScalar0(v7) = v14 & ( ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0) | ~ (v14 = 0)))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (sdtasdt0(v7, v9) = v11) | ~ (sdtasdt0(v7, v8) = v10) | ~ (sdtpldt0(v10, v11) = v12) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : (sdtasdt0(v18, v9) = v19 & sdtasdt0(v8, v9) = v20 & sdtasdt0(v7, v16) = v17 & sdtpldt0(v11, v20) = v21 & sdtpldt0(v8, v9) = v16 & sdtpldt0(v7, v8) = v18 & aScalar0(v9) = v15 & aScalar0(v8) = v14 & aScalar0(v7) = v13 & ( ~ (v15 = 0) | ~ (v14 = 0) | ~ (v13 = 0) | (v21 = v19 & v17 = v12)))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (smndt0(v8) = v10) | ~ (smndt0(v7) = v9) | ~ (sdtasdt0(v9, v10) = v11) | ? [v12] : ? [v13] : ? [v14] : (sdtasdt0(v7, v8) = v14 & aScalar0(v8) = v13 & aScalar0(v7) = v12 & ( ~ (v13 = 0) | ~ (v12 = 0) | v14 = v11))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (sdtpldt0(v10, v9) = v11) | ~ (sdtpldt0(v7, v8) = v10) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : (sdtasdt0(v18, v9) = v19 & sdtasdt0(v8, v9) = v20 & sdtasdt0(v8, v7) = v22 & sdtasdt0(v7, v20) = v21 & sdtasdt0(v7, v8) = v18 & sdtpldt0(v8, v9) = v15 & sdtpldt0(v8, v7) = v17 & sdtpldt0(v7, v15) = v16 & aScalar0(v9) = v14 & aScalar0(v8) = v13 & aScalar0(v7) = v12 & ( ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | (v22 = v18 & v21 = v19 & v17 = v10 & v16 = v11)))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | ~ (sdtlseqdt0(v7, v9) = v10) | ~ (sdtlseqdt0(v7, v8) = 0) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : (sdtlseqdt0(v8, v9) = v14 & aScalar0(v9) = v13 & aScalar0(v8) = v12 & aScalar0(v7) = v11 & ( ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0)))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v8 = v7 | ~ (sdtasasdt0(v10, v9) = v8) | ~ (sdtasasdt0(v10, v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v8 = v7 | ~ (sdtlbdtrb0(v10, v9) = v8) | ~ (sdtlbdtrb0(v10, v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v8 = v7 | ~ (sdtlseqdt0(v10, v9) = v8) | ~ (sdtlseqdt0(v10, v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v8 = v7 | ~ (sdtasdt0(v10, v9) = v8) | ~ (sdtasdt0(v10, v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v8 = v7 | ~ (sdtpldt0(v10, v9) = v8) | ~ (sdtpldt0(v10, v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v8 = v7 | ~ (iLess0(v10, v9) = v8) | ~ (iLess0(v10, v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (sziznziztdt0(v8) = v10) | ~ (sziznziztdt0(v7) = v9) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : (aVector0(v8) = v12 & aVector0(v7) = v11 & aDimensionOf0(v10) = v16 & aDimensionOf0(v9) = v15 & aDimensionOf0(v8) = v14 & aDimensionOf0(v7) = v13 & ( ~ (v14 = v13) | ~ (v12 = 0) | ~ (v11 = 0) | v16 = v15 | v13 = sz00))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (smndt0(v7) = v9) | ~ (sdtasdt0(v9, v8) = v10) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : (smndt0(v15) = v16 & smndt0(v8) = v13 & sdtasdt0(v7, v13) = v14 & sdtasdt0(v7, v8) = v15 & aScalar0(v8) = v12 & aScalar0(v7) = v11 & ( ~ (v12 = 0) | ~ (v11 = 0) | (v16 = v10 & v14 = v10)))) & ! [v7] : ! [v8] : ! [v9] : (v9 = sz0z00 | ~ (sdtasasdt0(v7, v8) = v9) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : (aVector0(v8) = v11 & aVector0(v7) = v10 & aDimensionOf0(v8) = v13 & aDimensionOf0(v7) = v12 & ( ~ (v13 = sz00) | ~ (v12 = sz00) | ~ (v11 = 0) | ~ (v10 = 0)))) & ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (sdtlseqdt0(v7, v8) = v9) | ? [v10] : ? [v11] : ? [v12] : (sdtlseqdt0(v8, v7) = v12 & aScalar0(v8) = v11 & aScalar0(v7) = v10 & ( ~ (v11 = 0) | ~ (v10 = 0) | v12 = 0))) & ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (iLess0(v7, v8) = v9) | ~ (szszuzczcdt0(v7) = v8) | ? [v10] : ( ~ (v10 = 0) & aNaturalNumber0(v7) = v10)) & ! [v7] : ! [v8] : ! [v9] : (v8 = v7 | ~ (sziznziztdt0(v9) = v8) | ~ (sziznziztdt0(v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : (v8 = v7 | ~ (aVector0(v9) = v8) | ~ (aVector0(v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : (v8 = v7 | ~ (aDimensionOf0(v9) = v8) | ~ (aDimensionOf0(v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : (v8 = v7 | ~ (smndt0(v9) = v8) | ~ (smndt0(v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : (v8 = v7 | ~ (aScalar0(v9) = v8) | ~ (aScalar0(v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : (v8 = v7 | ~ (szszuzczcdt0(v9) = v8) | ~ (szszuzczcdt0(v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : (v8 = v7 | ~ (szszuzczcdt0(v8) = v9) | ~ (szszuzczcdt0(v7) = v9) | ? [v10] : ? [v11] : (aNaturalNumber0(v8) = v11 & aNaturalNumber0(v7) = v10 & ( ~ (v11 = 0) | ~ (v10 = 0)))) & ! [v7] : ! [v8] : ! [v9] : (v8 = v7 | ~ (aNaturalNumber0(v9) = v8) | ~ (aNaturalNumber0(v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ( ~ (sdtasasdt0(v7, v8) = v9) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (aVector0(v8) = v11 & aVector0(v7) = v10 & aDimensionOf0(v8) = v13 & aDimensionOf0(v7) = v12 & aScalar0(v9) = v14 & ( ~ (v13 = v12) | ~ (v11 = 0) | ~ (v10 = 0) | v14 = 0))) & ! [v7] : ! [v8] : ! [v9] : ( ~ (sdtlbdtrb0(v7, v8) = v9) | ? [v10] : ? [v11] : ? [v12] : (aVector0(v7) = v10 & aScalar0(v9) = v12 & aNaturalNumber0(v8) = v11 & ( ~ (v11 = 0) | ~ (v10 = 0) | v12 = 0))) & ! [v7] : ! [v8] : ! [v9] : ( ~ (smndt0(v7) = v8) | ~ (sdtpldt0(v8, v7) = v9) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : (smndt0(v8) = v16 & sdtasdt0(v7, sz0z00) = v13 & sdtasdt0(sz0z00, v7) = v14 & sdtpldt0(v7, v8) = v15 & sdtpldt0(v7, sz0z00) = v11 & sdtpldt0(sz0z00, v7) = v12 & aScalar0(v7) = v10 & ( ~ (v10 = 0) | (v16 = v7 & v15 = sz0z00 & v14 = sz0z00 & v13 = sz0z00 & v12 = v7 & v11 = v7 & v9 = sz0z00 & v0 = sz0z00)))) & ! [v7] : ! [v8] : ! [v9] : ( ~ (sdtasdt0(v7, v8) = v9) | ? [v10] : ? [v11] : ? [v12] : (aScalar0(v9) = v12 & aScalar0(v8) = v11 & aScalar0(v7) = v10 & ( ~ (v11 = 0) | ~ (v10 = 0) | v12 = 0))) & ! [v7] : ! [v8] : ! [v9] : ( ~ (sdtpldt0(v7, v8) = v9) | ? [v10] : ? [v11] : ? [v12] : (aScalar0(v9) = v12 & aScalar0(v8) = v11 & aScalar0(v7) = v10 & ( ~ (v11 = 0) | ~ (v10 = 0) | v12 = 0))) & ! [v7] : ! [v8] : (v8 = v7 | ~ (sdtlseqdt0(v7, v8) = 0) | ? [v9] : ? [v10] : ? [v11] : (sdtlseqdt0(v8, v7) = v11 & aScalar0(v8) = v10 & aScalar0(v7) = v9 & ( ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0)))) & ! [v7] : ! [v8] : (v8 = v7 | ~ (sdtlseqdt0(sz0z00, v8) = 0) | ~ (sdtlseqdt0(sz0z00, v7) = 0) | ? [v9] : ? [v10] : ? [v11] : ? [v12] : (sdtasdt0(v8, v8) = v12 & sdtasdt0(v7, v7) = v11 & aScalar0(v8) = v10 & aScalar0(v7) = v9 & ( ~ (v12 = v11) | ~ (v10 = 0) | ~ (v9 = 0)))) & ! [v7] : ! [v8] : (v8 = 0 | ~ (sdtlseqdt0(v7, v7) = v8) | ? [v9] : ( ~ (v9 = 0) & aScalar0(v7) = v9)) & ! [v7] : ! [v8] : ( ~ (sdtasasdt0(v7, v7) = v8) | ? [v9] : ? [v10] : (aVector0(v7) = v9 & sdtlseqdt0(sz0z00, v8) = v10 & ( ~ (v9 = 0) | v10 = 0))) & ! [v7] : ! [v8] : ( ~ (sziznziztdt0(v7) = v8) | ? [v9] : ? [v10] : (aVector0(v7) = v9 & aDimensionOf0(v7) = v10 & ( ~ (v9 = 0) | v10 = sz00 | ( ! [v11] : ! [v12] : ! [v13] : ( ~ (sdtlbdtrb0(v7, v12) = v13) | ~ (aVector0(v8) = v11) | ? [v14] : ? [v15] : (sdtlbdtrb0(v8, v12) = v15 & aNaturalNumber0(v12) = v14 & ( ~ (v14 = 0) | v15 = v13))) & ! [v11] : (v11 = v8 | ~ (aVector0(v11) = 0) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : ((v13 = 0 & ~ (v15 = v14) & sdtlbdtrb0(v11, v12) = v14 & sdtlbdtrb0(v7, v12) = v15 & aNaturalNumber0(v12) = 0) | ( ~ (v13 = v10) & aDimensionOf0(v11) = v12 & szszuzczcdt0(v12) = v13))) & ! [v11] : (v11 = 0 | ~ (aVector0(v8) = v11)) & ! [v11] : ( ~ (aVector0(v8) = v11) | ? [v12] : (aDimensionOf0(v8) = v12 & szszuzczcdt0(v12) = v10)))))) & ! [v7] : ! [v8] : ( ~ (sdtlseqdt0(sz0z00, v8) = 0) | ~ (sdtlseqdt0(sz0z00, v7) = 0) | ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (sdtlseqdt0(sz0z00, v13) = v14 & sdtlseqdt0(sz0z00, v11) = v12 & sdtasdt0(v7, v8) = v13 & sdtpldt0(v7, v8) = v11 & aScalar0(v8) = v10 & aScalar0(v7) = v9 & ( ~ (v10 = 0) | ~ (v9 = 0) | (v14 = 0 & v12 = 0)))) & ! [v7] : ! [v8] : ( ~ (smndt0(v7) = v8) | ? [v9] : ? [v10] : (aScalar0(v8) = v10 & aScalar0(v7) = v9 & ( ~ (v9 = 0) | v10 = 0))) & ! [v7] : ! [v8] : ( ~ (sdtasdt0(v7, v7) = v8) | ? [v9] : ? [v10] : (sdtlseqdt0(sz0z00, v8) = v10 & aScalar0(v7) = v9 & ( ~ (v9 = 0) | v10 = 0))) & ! [v7] : ! [v8] : ( ~ (szszuzczcdt0(v7) = v8) | ? [v9] : ? [v10] : (aNaturalNumber0(v8) = v10 & aNaturalNumber0(v7) = v9 & ( ~ (v9 = 0) | (v10 = 0 & ~ (v8 = sz00))))) & ! [v7] : (v7 = sz00 | ~ (aNaturalNumber0(v7) = 0) | ? [v8] : (szszuzczcdt0(v8) = v7 & aNaturalNumber0(v8) = 0)) & ! [v7] : ( ~ (aVector0(v7) = 0) | ? [v8] : (aDimensionOf0(v7) = v8 & aNaturalNumber0(v8) = 0)))
% 36.66/11.61 | 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 yields:
% 36.66/11.61 | (1) ~ (all_0_0_0 = 0) & ~ (all_0_5_5 = sz00) & sdtasasdt0(xq, xq) = xD & sdtasasdt0(xp, xq) = xE & sdtasasdt0(xp, xp) = xC & sziznziztdt0(xt) = xq & sziznziztdt0(xs) = xp & sdtlbdtrb0(xt, all_0_5_5) = xB & sdtlbdtrb0(xs, all_0_5_5) = xA & aVector0(xq) = 0 & aVector0(xp) = 0 & aVector0(xt) = 0 & aVector0(xs) = 0 & aDimensionOf0(xt) = all_0_5_5 & aDimensionOf0(xs) = all_0_5_5 & sdtlseqdt0(all_0_2_2, xN) = all_0_0_0 & sdtlseqdt0(all_0_4_4, all_0_3_3) = 0 & smndt0(sz0z00) = all_0_6_6 & 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 & 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_5_5) = 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_6_6 = 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] : ( ~ (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))
% 36.66/11.63 |
% 36.66/11.63 | Applying alpha-rule on (1) yields:
% 36.66/11.63 | (2) sdtasdt0(xR, xS) = xN
% 36.66/11.63 | (3) ! [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)))
% 36.66/11.63 | (4) sdtasdt0(xA, xB) = xH
% 36.66/11.63 | (5) sdtlseqdt0(all_0_2_2, xN) = all_0_0_0
% 36.66/11.63 | (6) ! [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))))
% 36.66/11.63 | (7) aScalar0(xD) = 0
% 36.66/11.63 | (8) ! [v0] : ( ~ (aVector0(v0) = 0) | ? [v1] : (aDimensionOf0(v0) = v1 & aNaturalNumber0(v1) = 0))
% 36.66/11.63 | (9) sziznziztdt0(xs) = xp
% 36.66/11.63 | (10) ! [v0] : ! [v1] : ( ~ (szszuzczcdt0(v0) = v1) | ? [v2] : ? [v3] : (aNaturalNumber0(v1) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v2 = 0) | (v3 = 0 & ~ (v1 = sz00)))))
% 36.66/11.64 | (11) aVector0(xq) = 0
% 36.66/11.64 | (12) aScalar0(xR) = 0
% 36.66/11.64 | (13) sziznziztdt0(xt) = xq
% 36.66/11.64 | (14) sdtasdt0(xE, xH) = xP
% 36.66/11.64 | (15) ! [v0] : ! [v1] : (v1 = 0 | ~ (sdtlseqdt0(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & aScalar0(v0) = v2))
% 36.66/11.64 | (16) ! [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_6_6 = sz0z00))))
% 36.66/11.64 | (17) aScalar0(xF) = 0
% 36.66/11.64 | (18) ! [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))))
% 36.66/11.64 | (19) aDimensionOf0(xs) = all_0_5_5
% 36.66/11.64 | (20) ! [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)))
% 36.66/11.64 | (21) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtasdt0(v3, v2) = v1) | ~ (sdtasdt0(v3, v2) = v0))
% 36.66/11.64 | (22) ! [v0] : ! [v1] : ( ~ (sdtasasdt0(v0, v0) = v1) | ? [v2] : ? [v3] : (aVector0(v0) = v2 & sdtlseqdt0(sz0z00, v1) = v3 & ( ~ (v2 = 0) | v3 = 0)))
% 36.66/11.64 | (23) ! [v0] : (v0 = sz00 | ~ (aNaturalNumber0(v0) = 0) | ? [v1] : (szszuzczcdt0(v1) = v0 & aNaturalNumber0(v1) = 0))
% 36.66/11.64 | (24) sdtasdt0(xH, xH) = all_0_1_1
% 36.66/11.64 | (25) ! [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)))
% 36.66/11.64 | (26) ! [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))))
% 36.66/11.64 | (27) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (smndt0(v2) = v1) | ~ (smndt0(v2) = v0))
% 36.66/11.64 | (28) aVector0(xp) = 0
% 36.66/11.64 | (29) ! [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_5_5) = v12 & ( ~ (v12 = 0) | ~ (v11 = v10) | ~ (v9 = 0) | ~ (v8 = 0))))
% 36.66/11.64 | (30) aScalar0(xH) = 0
% 36.66/11.64 | (31) ! [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))))
% 36.66/11.64 | (32) ! [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))))
% 36.66/11.64 | (33) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (iLess0(v3, v2) = v1) | ~ (iLess0(v3, v2) = v0))
% 36.66/11.64 | (34) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (iLess0(v0, v1) = v2) | ~ (szszuzczcdt0(v0) = v1) | ? [v3] : ( ~ (v3 = 0) & aNaturalNumber0(v0) = v3))
% 36.66/11.64 | (35) aScalar0(xE) = 0
% 36.66/11.64 | (36) aVector0(xs) = 0
% 36.66/11.64 | (37) sdtlbdtrb0(xt, all_0_5_5) = xB
% 36.66/11.64 | (38) ! [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)))
% 36.66/11.65 | (39) aScalar0(xN) = 0
% 36.66/11.65 | (40) ! [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))))
% 36.66/11.65 | (41) sdtasdt0(xF, xD) = xS
% 36.66/11.65 | (42) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (sziznziztdt0(v2) = v1) | ~ (sziznziztdt0(v2) = v0))
% 36.66/11.65 | (43) ! [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)))
% 36.66/11.65 | (44) sdtasdt0(xP, xP) = all_0_2_2
% 36.66/11.65 | (45) ~ (all_0_0_0 = 0)
% 36.66/11.65 | (46) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aScalar0(v2) = v1) | ~ (aScalar0(v2) = v0))
% 36.66/11.65 | (47) ! [v0] : ! [v1] : ( ~ (smndt0(v0) = v1) | ? [v2] : ? [v3] : (aScalar0(v1) = v3 & aScalar0(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 36.66/11.65 | (48) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtasasdt0(v3, v2) = v1) | ~ (sdtasasdt0(v3, v2) = v0))
% 36.66/11.65 | (49) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aVector0(v2) = v1) | ~ (aVector0(v2) = v0))
% 36.66/11.65 | (50) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0))
% 36.66/11.65 | (51) ! [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))))
% 36.66/11.65 | (52) ! [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)))
% 36.66/11.65 | (53) ! [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)))
% 36.66/11.65 | (54) sdtlbdtrb0(xs, all_0_5_5) = xA
% 36.66/11.65 | (55) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (szszuzczcdt0(v2) = v1) | ~ (szszuzczcdt0(v2) = v0))
% 36.66/11.65 | (56) sdtasdt0(xB, xB) = xG
% 36.66/11.65 | (57) aScalar0(sz0z00) = 0
% 36.66/11.65 | (58) aScalar0(xC) = 0
% 36.66/11.65 | (59) ! [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))))
% 36.66/11.65 | (60) aScalar0(xP) = 0
% 36.66/11.65 | (61) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtlbdtrb0(v3, v2) = v1) | ~ (sdtlbdtrb0(v3, v2) = v0))
% 36.66/11.65 | (62) aScalar0(xB) = 0
% 36.66/11.65 | (63) sdtasasdt0(xp, xq) = xE
% 36.66/11.65 | (64) ! [v0] : ! [v1] : ( ~ (sdtasdt0(v0, v0) = v1) | ? [v2] : ? [v3] : (sdtlseqdt0(sz0z00, v1) = v3 & aScalar0(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 36.66/11.65 | (65) aVector0(xt) = 0
% 36.66/11.65 | (66) ! [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))))
% 36.66/11.66 | (67) sdtasdt0(xC, xG) = xR
% 36.66/11.66 | (68) aDimensionOf0(xt) = all_0_5_5
% 36.66/11.66 | (69) ! [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))))
% 36.66/11.66 | (70) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtlseqdt0(v3, v2) = v1) | ~ (sdtlseqdt0(v3, v2) = v0))
% 36.66/11.66 | (71) ! [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)))
% 36.66/11.66 | (72) sdtasdt0(xE, xE) = all_0_4_4
% 36.66/11.66 | (73) sdtasdt0(xA, xA) = xF
% 36.66/11.66 | (74) sdtasasdt0(xq, xq) = xD
% 36.66/11.66 | (75) sdtlseqdt0(all_0_4_4, all_0_3_3) = 0
% 36.66/11.66 | (76) sdtasdt0(xC, xD) = all_0_3_3
% 36.66/11.66 | (77) ~ (all_0_5_5 = sz00)
% 36.66/11.66 | (78) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (szszuzczcdt0(v1) = v2) | ~ (szszuzczcdt0(v0) = v2) | ? [v3] : ? [v4] : (aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0))))
% 36.66/11.66 | (79) aScalar0(xS) = 0
% 36.66/11.66 | (80) aScalar0(xA) = 0
% 36.66/11.66 | (81) sdtasasdt0(xp, xp) = xC
% 36.66/11.66 | (82) ! [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))))))
% 36.66/11.66 | (83) smndt0(sz0z00) = all_0_6_6
% 36.66/11.66 | (84) aNaturalNumber0(sz00) = 0
% 36.66/11.66 | (85) sdtasdt0(all_0_1_1, all_0_4_4) = all_0_2_2
% 36.66/11.66 | (86) aScalar0(xG) = 0
% 36.66/11.66 | (87) sdtasdt0(all_0_1_1, all_0_3_3) = xN
% 36.66/11.66 | (88) ! [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)))
% 36.66/11.66 | (89) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aDimensionOf0(v2) = v1) | ~ (aDimensionOf0(v2) = v0))
% 36.66/11.66 | (90) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aNaturalNumber0(v2) = v1) | ~ (aNaturalNumber0(v2) = v0))
% 36.66/11.66 |
% 36.66/11.66 | Instantiating formula (22) with xD, xq and discharging atoms sdtasasdt0(xq, xq) = xD, yields:
% 36.66/11.66 | (91) ? [v0] : ? [v1] : (aVector0(xq) = v0 & sdtlseqdt0(sz0z00, xD) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 36.66/11.66 |
% 36.66/11.66 | Instantiating formula (43) with xD, xq, xq and discharging atoms sdtasasdt0(xq, xq) = xD, yields:
% 36.66/11.66 | (92) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (aVector0(xq) = v1 & aVector0(xq) = v0 & aDimensionOf0(xq) = v3 & aDimensionOf0(xq) = v2 & aScalar0(xD) = v4 & ( ~ (v3 = v2) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0))
% 36.66/11.66 |
% 36.66/11.66 | Instantiating formula (43) with xE, xq, xp and discharging atoms sdtasasdt0(xp, xq) = xE, yields:
% 36.66/11.66 | (93) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (aVector0(xq) = v1 & aVector0(xp) = v0 & aDimensionOf0(xq) = v3 & aDimensionOf0(xp) = v2 & aScalar0(xE) = v4 & ( ~ (v3 = v2) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0))
% 36.66/11.66 |
% 36.66/11.66 | Instantiating formula (22) with xC, xp and discharging atoms sdtasasdt0(xp, xp) = xC, yields:
% 36.66/11.66 | (94) ? [v0] : ? [v1] : (aVector0(xp) = v0 & sdtlseqdt0(sz0z00, xC) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 36.66/11.66 |
% 36.66/11.66 | Instantiating formula (43) with xC, xp, xp and discharging atoms sdtasasdt0(xp, xp) = xC, yields:
% 36.66/11.66 | (95) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (aVector0(xp) = v1 & aVector0(xp) = v0 & aDimensionOf0(xp) = v3 & aDimensionOf0(xp) = v2 & aScalar0(xC) = v4 & ( ~ (v3 = v2) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0))
% 36.66/11.67 |
% 36.66/11.67 | Instantiating formula (3) with xB, all_0_5_5, xt and discharging atoms sdtlbdtrb0(xt, all_0_5_5) = xB, yields:
% 36.66/11.67 | (96) ? [v0] : ? [v1] : ? [v2] : (aVector0(xt) = v0 & aScalar0(xB) = v2 & aNaturalNumber0(all_0_5_5) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 36.66/11.67 |
% 36.66/11.67 | Instantiating formula (3) with xA, all_0_5_5, xs and discharging atoms sdtlbdtrb0(xs, all_0_5_5) = xA, yields:
% 36.66/11.67 | (97) ? [v0] : ? [v1] : ? [v2] : (aVector0(xs) = v0 & aScalar0(xA) = v2 & aNaturalNumber0(all_0_5_5) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 36.66/11.67 |
% 36.66/11.67 | Instantiating formula (20) with all_0_0_0, xN, all_0_2_2 and discharging atoms sdtlseqdt0(all_0_2_2, xN) = all_0_0_0, yields:
% 36.66/11.67 | (98) 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))
% 36.66/11.67 |
% 36.66/11.67 | Instantiating formula (52) with xN, all_0_3_3, all_0_1_1 and discharging atoms sdtasdt0(all_0_1_1, all_0_3_3) = xN, yields:
% 36.66/11.67 | (99) ? [v0] : ? [v1] : ? [v2] : (aScalar0(all_0_1_1) = v0 & aScalar0(all_0_3_3) = v1 & aScalar0(xN) = v2 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 36.66/11.67 |
% 36.66/11.67 | Instantiating formula (66) 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:
% 36.66/11.67 | (100) 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)))
% 37.01/11.67 |
% 37.01/11.67 | Instantiating formula (52) 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:
% 37.01/11.67 | (101) ? [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))
% 37.01/11.67 |
% 37.01/11.67 | Instantiating formula (66) 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:
% 37.01/11.67 | (102) 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)))
% 37.01/11.67 |
% 37.01/11.67 | Instantiating formula (64) with all_0_2_2, xP and discharging atoms sdtasdt0(xP, xP) = all_0_2_2, yields:
% 37.01/11.67 | (103) ? [v0] : ? [v1] : (sdtlseqdt0(sz0z00, all_0_2_2) = v1 & aScalar0(xP) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 37.01/11.67 |
% 37.01/11.67 | Instantiating formula (52) with all_0_2_2, xP, xP and discharging atoms sdtasdt0(xP, xP) = all_0_2_2, yields:
% 37.01/11.67 | (104) ? [v0] : ? [v1] : ? [v2] : (aScalar0(all_0_2_2) = v2 & aScalar0(xP) = v1 & aScalar0(xP) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 37.01/11.67 |
% 37.01/11.67 | Instantiating formula (66) 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:
% 37.01/11.67 | (105) 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)))
% 37.01/11.67 |
% 37.01/11.67 | Instantiating formula (66) 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:
% 37.01/11.67 | (106) 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)))
% 37.01/11.67 |
% 37.01/11.67 | Instantiating formula (64) with all_0_1_1, xH and discharging atoms sdtasdt0(xH, xH) = all_0_1_1, yields:
% 37.01/11.67 | (107) ? [v0] : ? [v1] : (sdtlseqdt0(sz0z00, all_0_1_1) = v1 & aScalar0(xH) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 37.01/11.67 |
% 37.01/11.67 | Instantiating formula (52) with all_0_1_1, xH, xH and discharging atoms sdtasdt0(xH, xH) = all_0_1_1, yields:
% 37.01/11.67 | (108) ? [v0] : ? [v1] : ? [v2] : (aScalar0(all_0_1_1) = v2 & aScalar0(xH) = v1 & aScalar0(xH) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 37.01/11.67 |
% 37.01/11.67 | Instantiating formula (64) with all_0_4_4, xE and discharging atoms sdtasdt0(xE, xE) = all_0_4_4, yields:
% 37.01/11.67 | (109) ? [v0] : ? [v1] : (sdtlseqdt0(sz0z00, all_0_4_4) = v1 & aScalar0(xE) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 37.01/11.67 |
% 37.01/11.67 | Instantiating formula (52) with all_0_4_4, xE, xE and discharging atoms sdtasdt0(xE, xE) = all_0_4_4, yields:
% 37.01/11.67 | (110) ? [v0] : ? [v1] : ? [v2] : (aScalar0(all_0_4_4) = v2 & aScalar0(xE) = v1 & aScalar0(xE) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 37.01/11.67 |
% 37.01/11.68 | Instantiating formula (52) with all_0_3_3, xD, xC and discharging atoms sdtasdt0(xC, xD) = all_0_3_3, yields:
% 37.01/11.68 | (111) ? [v0] : ? [v1] : ? [v2] : (aScalar0(all_0_3_3) = v2 & aScalar0(xD) = v1 & aScalar0(xC) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 37.01/11.68 |
% 37.01/11.68 | Instantiating formula (64) with xG, xB and discharging atoms sdtasdt0(xB, xB) = xG, yields:
% 37.01/11.68 | (112) ? [v0] : ? [v1] : (sdtlseqdt0(sz0z00, xG) = v1 & aScalar0(xB) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 37.01/11.68 |
% 37.01/11.68 | Instantiating formula (64) with xF, xA and discharging atoms sdtasdt0(xA, xA) = xF, yields:
% 37.01/11.68 | (113) ? [v0] : ? [v1] : (sdtlseqdt0(sz0z00, xF) = v1 & aScalar0(xA) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 37.01/11.68 |
% 37.01/11.68 | Instantiating (113) with all_8_0_7, all_8_1_8 yields:
% 37.01/11.68 | (114) sdtlseqdt0(sz0z00, xF) = all_8_0_7 & aScalar0(xA) = all_8_1_8 & ( ~ (all_8_1_8 = 0) | all_8_0_7 = 0)
% 37.01/11.68 |
% 37.01/11.68 | Applying alpha-rule on (114) yields:
% 37.01/11.68 | (115) sdtlseqdt0(sz0z00, xF) = all_8_0_7
% 37.01/11.68 | (116) aScalar0(xA) = all_8_1_8
% 37.01/11.68 | (117) ~ (all_8_1_8 = 0) | all_8_0_7 = 0
% 37.01/11.68 |
% 37.01/11.68 | Instantiating (110) with all_10_0_9, all_10_1_10, all_10_2_11 yields:
% 37.01/11.68 | (118) aScalar0(all_0_4_4) = all_10_0_9 & aScalar0(xE) = all_10_1_10 & aScalar0(xE) = all_10_2_11 & ( ~ (all_10_1_10 = 0) | ~ (all_10_2_11 = 0) | all_10_0_9 = 0)
% 37.01/11.68 |
% 37.01/11.68 | Applying alpha-rule on (118) yields:
% 37.01/11.68 | (119) aScalar0(all_0_4_4) = all_10_0_9
% 37.01/11.68 | (120) aScalar0(xE) = all_10_1_10
% 37.01/11.68 | (121) aScalar0(xE) = all_10_2_11
% 37.01/11.68 | (122) ~ (all_10_1_10 = 0) | ~ (all_10_2_11 = 0) | all_10_0_9 = 0
% 37.01/11.68 |
% 37.01/11.68 | Instantiating (108) with all_12_0_12, all_12_1_13, all_12_2_14 yields:
% 37.01/11.68 | (123) aScalar0(all_0_1_1) = all_12_0_12 & aScalar0(xH) = all_12_1_13 & aScalar0(xH) = all_12_2_14 & ( ~ (all_12_1_13 = 0) | ~ (all_12_2_14 = 0) | all_12_0_12 = 0)
% 37.01/11.68 |
% 37.01/11.68 | Applying alpha-rule on (123) yields:
% 37.01/11.68 | (124) aScalar0(all_0_1_1) = all_12_0_12
% 37.01/11.68 | (125) aScalar0(xH) = all_12_1_13
% 37.01/11.68 | (126) aScalar0(xH) = all_12_2_14
% 37.01/11.68 | (127) ~ (all_12_1_13 = 0) | ~ (all_12_2_14 = 0) | all_12_0_12 = 0
% 37.01/11.68 |
% 37.01/11.68 | Instantiating (112) with all_14_0_15, all_14_1_16 yields:
% 37.01/11.68 | (128) sdtlseqdt0(sz0z00, xG) = all_14_0_15 & aScalar0(xB) = all_14_1_16 & ( ~ (all_14_1_16 = 0) | all_14_0_15 = 0)
% 37.01/11.68 |
% 37.01/11.68 | Applying alpha-rule on (128) yields:
% 37.01/11.68 | (129) sdtlseqdt0(sz0z00, xG) = all_14_0_15
% 37.01/11.68 | (130) aScalar0(xB) = all_14_1_16
% 37.01/11.68 | (131) ~ (all_14_1_16 = 0) | all_14_0_15 = 0
% 37.01/11.68 |
% 37.01/11.68 | Instantiating (104) with all_16_0_17, all_16_1_18, all_16_2_19 yields:
% 37.01/11.68 | (132) aScalar0(all_0_2_2) = all_16_0_17 & aScalar0(xP) = all_16_1_18 & aScalar0(xP) = all_16_2_19 & ( ~ (all_16_1_18 = 0) | ~ (all_16_2_19 = 0) | all_16_0_17 = 0)
% 37.01/11.68 |
% 37.01/11.68 | Applying alpha-rule on (132) yields:
% 37.01/11.68 | (133) aScalar0(all_0_2_2) = all_16_0_17
% 37.01/11.68 | (134) aScalar0(xP) = all_16_1_18
% 37.01/11.68 | (135) aScalar0(xP) = all_16_2_19
% 37.01/11.68 | (136) ~ (all_16_1_18 = 0) | ~ (all_16_2_19 = 0) | all_16_0_17 = 0
% 37.01/11.68 |
% 37.01/11.68 | Instantiating (103) with all_18_0_20, all_18_1_21 yields:
% 37.01/11.68 | (137) sdtlseqdt0(sz0z00, all_0_2_2) = all_18_0_20 & aScalar0(xP) = all_18_1_21 & ( ~ (all_18_1_21 = 0) | all_18_0_20 = 0)
% 37.01/11.68 |
% 37.01/11.68 | Applying alpha-rule on (137) yields:
% 37.01/11.68 | (138) sdtlseqdt0(sz0z00, all_0_2_2) = all_18_0_20
% 37.01/11.68 | (139) aScalar0(xP) = all_18_1_21
% 37.01/11.68 | (140) ~ (all_18_1_21 = 0) | all_18_0_20 = 0
% 37.01/11.68 |
% 37.01/11.68 | Instantiating (99) with all_20_0_22, all_20_1_23, all_20_2_24 yields:
% 37.01/11.68 | (141) aScalar0(all_0_1_1) = all_20_2_24 & aScalar0(all_0_3_3) = all_20_1_23 & aScalar0(xN) = all_20_0_22 & ( ~ (all_20_1_23 = 0) | ~ (all_20_2_24 = 0) | all_20_0_22 = 0)
% 37.01/11.68 |
% 37.01/11.68 | Applying alpha-rule on (141) yields:
% 37.01/11.68 | (142) aScalar0(all_0_1_1) = all_20_2_24
% 37.01/11.68 | (143) aScalar0(all_0_3_3) = all_20_1_23
% 37.01/11.68 | (144) aScalar0(xN) = all_20_0_22
% 37.01/11.68 | (145) ~ (all_20_1_23 = 0) | ~ (all_20_2_24 = 0) | all_20_0_22 = 0
% 37.01/11.68 |
% 37.01/11.68 | Instantiating (101) with all_24_0_27, all_24_1_28, all_24_2_29 yields:
% 37.01/11.68 | (146) aScalar0(all_0_1_1) = all_24_2_29 & aScalar0(all_0_2_2) = all_24_0_27 & aScalar0(all_0_4_4) = all_24_1_28 & ( ~ (all_24_1_28 = 0) | ~ (all_24_2_29 = 0) | all_24_0_27 = 0)
% 37.01/11.68 |
% 37.01/11.68 | Applying alpha-rule on (146) yields:
% 37.01/11.68 | (147) aScalar0(all_0_1_1) = all_24_2_29
% 37.01/11.68 | (148) aScalar0(all_0_2_2) = all_24_0_27
% 37.01/11.68 | (149) aScalar0(all_0_4_4) = all_24_1_28
% 37.01/11.68 | (150) ~ (all_24_1_28 = 0) | ~ (all_24_2_29 = 0) | all_24_0_27 = 0
% 37.01/11.68 |
% 37.01/11.68 | Instantiating (96) with all_26_0_30, all_26_1_31, all_26_2_32 yields:
% 37.01/11.68 | (151) aVector0(xt) = all_26_2_32 & aScalar0(xB) = all_26_0_30 & aNaturalNumber0(all_0_5_5) = all_26_1_31 & ( ~ (all_26_1_31 = 0) | ~ (all_26_2_32 = 0) | all_26_0_30 = 0)
% 37.01/11.68 |
% 37.01/11.68 | Applying alpha-rule on (151) yields:
% 37.01/11.68 | (152) aVector0(xt) = all_26_2_32
% 37.01/11.68 | (153) aScalar0(xB) = all_26_0_30
% 37.01/11.68 | (154) aNaturalNumber0(all_0_5_5) = all_26_1_31
% 37.01/11.68 | (155) ~ (all_26_1_31 = 0) | ~ (all_26_2_32 = 0) | all_26_0_30 = 0
% 37.01/11.68 |
% 37.01/11.68 | Instantiating (94) with all_30_0_39, all_30_1_40 yields:
% 37.01/11.68 | (156) aVector0(xp) = all_30_1_40 & sdtlseqdt0(sz0z00, xC) = all_30_0_39 & ( ~ (all_30_1_40 = 0) | all_30_0_39 = 0)
% 37.01/11.68 |
% 37.01/11.68 | Applying alpha-rule on (156) yields:
% 37.01/11.68 | (157) aVector0(xp) = all_30_1_40
% 37.01/11.68 | (158) sdtlseqdt0(sz0z00, xC) = all_30_0_39
% 37.01/11.69 | (159) ~ (all_30_1_40 = 0) | all_30_0_39 = 0
% 37.01/11.69 |
% 37.01/11.69 | Instantiating (92) with all_32_0_41, all_32_1_42, all_32_2_43, all_32_3_44, all_32_4_45 yields:
% 37.01/11.69 | (160) aVector0(xq) = all_32_3_44 & aVector0(xq) = all_32_4_45 & aDimensionOf0(xq) = all_32_1_42 & aDimensionOf0(xq) = all_32_2_43 & aScalar0(xD) = all_32_0_41 & ( ~ (all_32_1_42 = all_32_2_43) | ~ (all_32_3_44 = 0) | ~ (all_32_4_45 = 0) | all_32_0_41 = 0)
% 37.01/11.69 |
% 37.01/11.69 | Applying alpha-rule on (160) yields:
% 37.01/11.69 | (161) aScalar0(xD) = all_32_0_41
% 37.01/11.69 | (162) ~ (all_32_1_42 = all_32_2_43) | ~ (all_32_3_44 = 0) | ~ (all_32_4_45 = 0) | all_32_0_41 = 0
% 37.01/11.69 | (163) aVector0(xq) = all_32_3_44
% 37.01/11.69 | (164) aDimensionOf0(xq) = all_32_2_43
% 37.01/11.69 | (165) aVector0(xq) = all_32_4_45
% 37.01/11.69 | (166) aDimensionOf0(xq) = all_32_1_42
% 37.01/11.69 |
% 37.01/11.69 | Instantiating (91) with all_34_0_46, all_34_1_47 yields:
% 37.01/11.69 | (167) aVector0(xq) = all_34_1_47 & sdtlseqdt0(sz0z00, xD) = all_34_0_46 & ( ~ (all_34_1_47 = 0) | all_34_0_46 = 0)
% 37.01/11.69 |
% 37.01/11.69 | Applying alpha-rule on (167) yields:
% 37.01/11.69 | (168) aVector0(xq) = all_34_1_47
% 37.01/11.69 | (169) sdtlseqdt0(sz0z00, xD) = all_34_0_46
% 37.01/11.69 | (170) ~ (all_34_1_47 = 0) | all_34_0_46 = 0
% 37.01/11.69 |
% 37.01/11.69 | Instantiating (93) with all_36_0_48, all_36_1_49, all_36_2_50, all_36_3_51, all_36_4_52 yields:
% 37.01/11.69 | (171) aVector0(xq) = all_36_3_51 & aVector0(xp) = all_36_4_52 & aDimensionOf0(xq) = all_36_1_49 & aDimensionOf0(xp) = all_36_2_50 & aScalar0(xE) = all_36_0_48 & ( ~ (all_36_1_49 = all_36_2_50) | ~ (all_36_3_51 = 0) | ~ (all_36_4_52 = 0) | all_36_0_48 = 0)
% 37.01/11.69 |
% 37.01/11.69 | Applying alpha-rule on (171) yields:
% 37.01/11.69 | (172) aVector0(xp) = all_36_4_52
% 37.01/11.69 | (173) aVector0(xq) = all_36_3_51
% 37.01/11.69 | (174) aScalar0(xE) = all_36_0_48
% 37.01/11.69 | (175) aDimensionOf0(xq) = all_36_1_49
% 37.01/11.69 | (176) ~ (all_36_1_49 = all_36_2_50) | ~ (all_36_3_51 = 0) | ~ (all_36_4_52 = 0) | all_36_0_48 = 0
% 37.01/11.69 | (177) aDimensionOf0(xp) = all_36_2_50
% 37.01/11.69 |
% 37.01/11.69 | Instantiating (95) with all_50_0_76, all_50_1_77, all_50_2_78, all_50_3_79, all_50_4_80 yields:
% 37.01/11.69 | (178) aVector0(xp) = all_50_3_79 & aVector0(xp) = all_50_4_80 & aDimensionOf0(xp) = all_50_1_77 & aDimensionOf0(xp) = all_50_2_78 & aScalar0(xC) = all_50_0_76 & ( ~ (all_50_1_77 = all_50_2_78) | ~ (all_50_3_79 = 0) | ~ (all_50_4_80 = 0) | all_50_0_76 = 0)
% 37.01/11.69 |
% 37.01/11.69 | Applying alpha-rule on (178) yields:
% 37.01/11.69 | (179) aVector0(xp) = all_50_3_79
% 37.01/11.69 | (180) aScalar0(xC) = all_50_0_76
% 37.01/11.69 | (181) aVector0(xp) = all_50_4_80
% 37.01/11.69 | (182) aDimensionOf0(xp) = all_50_2_78
% 37.01/11.69 | (183) aDimensionOf0(xp) = all_50_1_77
% 37.01/11.69 | (184) ~ (all_50_1_77 = all_50_2_78) | ~ (all_50_3_79 = 0) | ~ (all_50_4_80 = 0) | all_50_0_76 = 0
% 37.01/11.69 |
% 37.01/11.69 | Instantiating (97) with all_58_0_84, all_58_1_85, all_58_2_86 yields:
% 37.01/11.69 | (185) aVector0(xs) = all_58_2_86 & aScalar0(xA) = all_58_0_84 & aNaturalNumber0(all_0_5_5) = all_58_1_85 & ( ~ (all_58_1_85 = 0) | ~ (all_58_2_86 = 0) | all_58_0_84 = 0)
% 37.01/11.69 |
% 37.01/11.69 | Applying alpha-rule on (185) yields:
% 37.01/11.69 | (186) aVector0(xs) = all_58_2_86
% 37.01/11.69 | (187) aScalar0(xA) = all_58_0_84
% 37.01/11.69 | (188) aNaturalNumber0(all_0_5_5) = all_58_1_85
% 37.01/11.69 | (189) ~ (all_58_1_85 = 0) | ~ (all_58_2_86 = 0) | all_58_0_84 = 0
% 37.01/11.69 |
% 37.01/11.69 | Instantiating (111) with all_60_0_87, all_60_1_88, all_60_2_89 yields:
% 37.01/11.69 | (190) aScalar0(all_0_3_3) = all_60_0_87 & aScalar0(xD) = all_60_1_88 & aScalar0(xC) = all_60_2_89 & ( ~ (all_60_1_88 = 0) | ~ (all_60_2_89 = 0) | all_60_0_87 = 0)
% 37.01/11.69 |
% 37.01/11.69 | Applying alpha-rule on (190) yields:
% 37.01/11.69 | (191) aScalar0(all_0_3_3) = all_60_0_87
% 37.01/11.69 | (192) aScalar0(xD) = all_60_1_88
% 37.01/11.69 | (193) aScalar0(xC) = all_60_2_89
% 37.01/11.69 | (194) ~ (all_60_1_88 = 0) | ~ (all_60_2_89 = 0) | all_60_0_87 = 0
% 37.01/11.69 |
% 37.01/11.69 | Instantiating (107) with all_62_0_90, all_62_1_91 yields:
% 37.01/11.69 | (195) sdtlseqdt0(sz0z00, all_0_1_1) = all_62_0_90 & aScalar0(xH) = all_62_1_91 & ( ~ (all_62_1_91 = 0) | all_62_0_90 = 0)
% 37.01/11.69 |
% 37.01/11.69 | Applying alpha-rule on (195) yields:
% 37.01/11.69 | (196) sdtlseqdt0(sz0z00, all_0_1_1) = all_62_0_90
% 37.01/11.69 | (197) aScalar0(xH) = all_62_1_91
% 37.01/11.69 | (198) ~ (all_62_1_91 = 0) | all_62_0_90 = 0
% 37.01/11.69 |
% 37.01/11.69 | Instantiating (109) with all_64_0_92, all_64_1_93 yields:
% 37.01/11.69 | (199) sdtlseqdt0(sz0z00, all_0_4_4) = all_64_0_92 & aScalar0(xE) = all_64_1_93 & ( ~ (all_64_1_93 = 0) | all_64_0_92 = 0)
% 37.01/11.69 |
% 37.01/11.69 | Applying alpha-rule on (199) yields:
% 37.01/11.69 | (200) sdtlseqdt0(sz0z00, all_0_4_4) = all_64_0_92
% 37.01/11.69 | (201) aScalar0(xE) = all_64_1_93
% 37.01/11.69 | (202) ~ (all_64_1_93 = 0) | all_64_0_92 = 0
% 37.01/11.69 |
% 37.01/11.69 +-Applying beta-rule and splitting (98), into two cases.
% 37.01/11.69 |-Branch one:
% 37.01/11.69 | (203) all_0_0_0 = 0
% 37.01/11.69 |
% 37.01/11.70 | Equations (203) can reduce 45 to:
% 37.01/11.70 | (204) $false
% 37.01/11.70 |
% 37.01/11.70 |-The branch is then unsatisfiable
% 37.01/11.70 |-Branch two:
% 37.01/11.70 | (45) ~ (all_0_0_0 = 0)
% 37.01/11.70 | (206) ? [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))
% 37.01/11.70 |
% 37.01/11.70 +-Applying beta-rule and splitting (100), into two cases.
% 37.01/11.70 |-Branch one:
% 37.01/11.70 | (203) all_0_0_0 = 0
% 37.01/11.70 |
% 37.01/11.70 | Equations (203) can reduce 45 to:
% 37.01/11.70 | (204) $false
% 37.01/11.70 |
% 37.01/11.70 |-The branch is then unsatisfiable
% 37.01/11.70 |-Branch two:
% 37.01/11.70 | (45) ~ (all_0_0_0 = 0)
% 37.01/11.70 | (210) ? [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)))
% 37.01/11.70 |
% 37.01/11.70 | Instantiating (210) with all_75_0_97, all_75_1_98, all_75_2_99, all_75_3_100, all_75_4_101, all_75_5_102, all_75_6_103 yields:
% 37.01/11.70 | (211) sdtlseqdt0(all_0_1_1, all_0_1_1) = all_75_2_99 & sdtlseqdt0(all_0_4_4, all_0_3_3) = all_75_0_97 & sdtlseqdt0(sz0z00, all_0_4_4) = all_75_1_98 & aScalar0(all_0_1_1) = all_75_5_102 & aScalar0(all_0_1_1) = all_75_6_103 & aScalar0(all_0_3_3) = all_75_3_100 & aScalar0(all_0_4_4) = all_75_4_101 & ( ~ (all_75_0_97 = 0) | ~ (all_75_1_98 = 0) | ~ (all_75_2_99 = 0) | ~ (all_75_3_100 = 0) | ~ (all_75_4_101 = 0) | ~ (all_75_5_102 = 0) | ~ (all_75_6_103 = 0))
% 37.01/11.70 |
% 37.01/11.70 | Applying alpha-rule on (211) yields:
% 37.01/11.70 | (212) ~ (all_75_0_97 = 0) | ~ (all_75_1_98 = 0) | ~ (all_75_2_99 = 0) | ~ (all_75_3_100 = 0) | ~ (all_75_4_101 = 0) | ~ (all_75_5_102 = 0) | ~ (all_75_6_103 = 0)
% 37.01/11.70 | (213) sdtlseqdt0(sz0z00, all_0_4_4) = all_75_1_98
% 37.01/11.70 | (214) aScalar0(all_0_1_1) = all_75_6_103
% 37.01/11.70 | (215) aScalar0(all_0_1_1) = all_75_5_102
% 37.01/11.70 | (216) sdtlseqdt0(all_0_1_1, all_0_1_1) = all_75_2_99
% 37.01/11.70 | (217) aScalar0(all_0_4_4) = all_75_4_101
% 37.01/11.70 | (218) sdtlseqdt0(all_0_4_4, all_0_3_3) = all_75_0_97
% 37.01/11.70 | (219) aScalar0(all_0_3_3) = all_75_3_100
% 37.01/11.70 |
% 37.01/11.70 +-Applying beta-rule and splitting (102), into two cases.
% 37.01/11.70 |-Branch one:
% 37.01/11.70 | (203) all_0_0_0 = 0
% 37.01/11.70 |
% 37.01/11.70 | Equations (203) can reduce 45 to:
% 37.01/11.70 | (204) $false
% 37.01/11.70 |
% 37.01/11.70 |-The branch is then unsatisfiable
% 37.01/11.70 |-Branch two:
% 37.01/11.70 | (45) ~ (all_0_0_0 = 0)
% 37.01/11.70 | (223) ? [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)))
% 37.01/11.70 |
% 37.01/11.70 | Instantiating (223) with all_80_0_104, all_80_1_105, all_80_2_106, all_80_3_107, all_80_4_108, all_80_5_109, all_80_6_110 yields:
% 37.01/11.70 | (224) sdtlseqdt0(xP, all_0_1_1) = all_80_2_106 & sdtlseqdt0(xP, all_0_3_3) = all_80_0_104 & sdtlseqdt0(sz0z00, xP) = all_80_1_105 & aScalar0(all_0_1_1) = all_80_5_109 & aScalar0(all_0_3_3) = all_80_3_107 & aScalar0(xP) = all_80_4_108 & aScalar0(xP) = all_80_6_110 & ( ~ (all_80_0_104 = 0) | ~ (all_80_1_105 = 0) | ~ (all_80_2_106 = 0) | ~ (all_80_3_107 = 0) | ~ (all_80_4_108 = 0) | ~ (all_80_5_109 = 0) | ~ (all_80_6_110 = 0))
% 37.01/11.70 |
% 37.01/11.70 | Applying alpha-rule on (224) yields:
% 37.01/11.70 | (225) sdtlseqdt0(xP, all_0_1_1) = all_80_2_106
% 37.01/11.70 | (226) aScalar0(xP) = all_80_6_110
% 37.01/11.70 | (227) sdtlseqdt0(xP, all_0_3_3) = all_80_0_104
% 37.01/11.70 | (228) aScalar0(xP) = all_80_4_108
% 37.01/11.70 | (229) aScalar0(all_0_3_3) = all_80_3_107
% 37.01/11.70 | (230) aScalar0(all_0_1_1) = all_80_5_109
% 37.01/11.70 | (231) sdtlseqdt0(sz0z00, xP) = all_80_1_105
% 37.01/11.70 | (232) ~ (all_80_0_104 = 0) | ~ (all_80_1_105 = 0) | ~ (all_80_2_106 = 0) | ~ (all_80_3_107 = 0) | ~ (all_80_4_108 = 0) | ~ (all_80_5_109 = 0) | ~ (all_80_6_110 = 0)
% 37.01/11.70 |
% 37.01/11.70 +-Applying beta-rule and splitting (105), into two cases.
% 37.01/11.70 |-Branch one:
% 37.01/11.70 | (203) all_0_0_0 = 0
% 37.01/11.70 |
% 37.01/11.70 | Equations (203) can reduce 45 to:
% 37.01/11.70 | (204) $false
% 37.01/11.70 |
% 37.01/11.70 |-The branch is then unsatisfiable
% 37.01/11.70 |-Branch two:
% 37.01/11.70 | (45) ~ (all_0_0_0 = 0)
% 37.01/11.70 | (236) ? [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)))
% 37.01/11.70 |
% 37.01/11.70 | Instantiating (236) with all_85_0_111, all_85_1_112, all_85_2_113, all_85_3_114, all_85_4_115, all_85_5_116, all_85_6_117 yields:
% 37.01/11.70 | (237) sdtlseqdt0(all_0_1_1, xR) = all_85_2_113 & sdtlseqdt0(all_0_4_4, xS) = all_85_0_111 & sdtlseqdt0(sz0z00, all_0_4_4) = all_85_1_112 & aScalar0(all_0_1_1) = all_85_6_117 & aScalar0(all_0_4_4) = all_85_4_115 & aScalar0(xS) = all_85_3_114 & aScalar0(xR) = all_85_5_116 & ( ~ (all_85_0_111 = 0) | ~ (all_85_1_112 = 0) | ~ (all_85_2_113 = 0) | ~ (all_85_3_114 = 0) | ~ (all_85_4_115 = 0) | ~ (all_85_5_116 = 0) | ~ (all_85_6_117 = 0))
% 37.01/11.70 |
% 37.01/11.70 | Applying alpha-rule on (237) yields:
% 37.01/11.70 | (238) sdtlseqdt0(sz0z00, all_0_4_4) = all_85_1_112
% 37.01/11.71 | (239) aScalar0(xR) = all_85_5_116
% 37.01/11.71 | (240) aScalar0(all_0_4_4) = all_85_4_115
% 37.01/11.71 | (241) sdtlseqdt0(all_0_1_1, xR) = all_85_2_113
% 37.01/11.71 | (242) sdtlseqdt0(all_0_4_4, xS) = all_85_0_111
% 37.01/11.71 | (243) aScalar0(all_0_1_1) = all_85_6_117
% 37.01/11.71 | (244) ~ (all_85_0_111 = 0) | ~ (all_85_1_112 = 0) | ~ (all_85_2_113 = 0) | ~ (all_85_3_114 = 0) | ~ (all_85_4_115 = 0) | ~ (all_85_5_116 = 0) | ~ (all_85_6_117 = 0)
% 37.01/11.71 | (245) aScalar0(xS) = all_85_3_114
% 37.01/11.71 |
% 37.01/11.71 +-Applying beta-rule and splitting (106), into two cases.
% 37.01/11.71 |-Branch one:
% 37.01/11.71 | (203) all_0_0_0 = 0
% 37.01/11.71 |
% 37.01/11.71 | Equations (203) can reduce 45 to:
% 37.01/11.71 | (204) $false
% 37.01/11.71 |
% 37.01/11.71 |-The branch is then unsatisfiable
% 37.01/11.71 |-Branch two:
% 37.01/11.71 | (45) ~ (all_0_0_0 = 0)
% 37.01/11.71 | (249) ? [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)))
% 37.01/11.71 |
% 37.01/11.71 | Instantiating (249) with all_90_0_118, all_90_1_119, all_90_2_120, all_90_3_121, all_90_4_122, all_90_5_123, all_90_6_124 yields:
% 37.01/11.71 | (250) sdtlseqdt0(xP, xS) = all_90_0_118 & sdtlseqdt0(xP, xR) = all_90_2_120 & sdtlseqdt0(sz0z00, xP) = all_90_1_119 & aScalar0(xS) = all_90_3_121 & aScalar0(xP) = all_90_4_122 & aScalar0(xP) = all_90_6_124 & aScalar0(xR) = all_90_5_123 & ( ~ (all_90_0_118 = 0) | ~ (all_90_1_119 = 0) | ~ (all_90_2_120 = 0) | ~ (all_90_3_121 = 0) | ~ (all_90_4_122 = 0) | ~ (all_90_5_123 = 0) | ~ (all_90_6_124 = 0))
% 37.01/11.71 |
% 37.01/11.71 | Applying alpha-rule on (250) yields:
% 37.01/11.71 | (251) aScalar0(xP) = all_90_6_124
% 37.01/11.71 | (252) aScalar0(xS) = all_90_3_121
% 37.01/11.71 | (253) aScalar0(xP) = all_90_4_122
% 37.01/11.71 | (254) aScalar0(xR) = all_90_5_123
% 37.01/11.71 | (255) sdtlseqdt0(xP, xS) = all_90_0_118
% 37.01/11.71 | (256) ~ (all_90_0_118 = 0) | ~ (all_90_1_119 = 0) | ~ (all_90_2_120 = 0) | ~ (all_90_3_121 = 0) | ~ (all_90_4_122 = 0) | ~ (all_90_5_123 = 0) | ~ (all_90_6_124 = 0)
% 37.01/11.71 | (257) sdtlseqdt0(xP, xR) = all_90_2_120
% 37.01/11.71 | (258) sdtlseqdt0(sz0z00, xP) = all_90_1_119
% 37.01/11.71 |
% 37.01/11.71 | Instantiating formula (49) with xq, all_34_1_47, all_36_3_51 and discharging atoms aVector0(xq) = all_36_3_51, aVector0(xq) = all_34_1_47, yields:
% 37.01/11.71 | (259) all_36_3_51 = all_34_1_47
% 37.01/11.71 |
% 37.01/11.71 | Instantiating formula (49) with xq, all_32_3_44, 0 and discharging atoms aVector0(xq) = all_32_3_44, aVector0(xq) = 0, yields:
% 37.01/11.71 | (260) all_32_3_44 = 0
% 37.01/11.71 |
% 37.01/11.71 | Instantiating formula (49) with xq, all_32_3_44, all_34_1_47 and discharging atoms aVector0(xq) = all_34_1_47, aVector0(xq) = all_32_3_44, yields:
% 37.01/11.71 | (261) all_34_1_47 = all_32_3_44
% 37.01/11.71 |
% 37.01/11.71 | Instantiating formula (49) with xq, all_32_4_45, all_36_3_51 and discharging atoms aVector0(xq) = all_36_3_51, aVector0(xq) = all_32_4_45, yields:
% 37.01/11.71 | (262) all_36_3_51 = all_32_4_45
% 37.01/11.71 |
% 37.01/11.71 | Instantiating formula (49) with xp, all_50_3_79, 0 and discharging atoms aVector0(xp) = all_50_3_79, aVector0(xp) = 0, yields:
% 37.01/11.71 | (263) all_50_3_79 = 0
% 37.01/11.71 |
% 37.01/11.71 | Instantiating formula (49) with xp, all_50_4_80, all_50_3_79 and discharging atoms aVector0(xp) = all_50_3_79, aVector0(xp) = all_50_4_80, yields:
% 37.01/11.71 | (264) all_50_3_79 = all_50_4_80
% 37.01/11.71 |
% 37.01/11.71 | Instantiating formula (49) with xp, all_36_4_52, all_50_3_79 and discharging atoms aVector0(xp) = all_50_3_79, aVector0(xp) = all_36_4_52, yields:
% 37.01/11.71 | (265) all_50_3_79 = all_36_4_52
% 37.01/11.71 |
% 37.01/11.71 | Instantiating formula (49) with xp, all_30_1_40, all_50_3_79 and discharging atoms aVector0(xp) = all_50_3_79, aVector0(xp) = all_30_1_40, yields:
% 37.01/11.71 | (266) all_50_3_79 = all_30_1_40
% 37.01/11.71 |
% 37.01/11.71 | Instantiating formula (70) with all_0_4_4, all_0_3_3, all_75_0_97, 0 and discharging atoms sdtlseqdt0(all_0_4_4, all_0_3_3) = all_75_0_97, sdtlseqdt0(all_0_4_4, all_0_3_3) = 0, yields:
% 37.01/11.71 | (267) all_75_0_97 = 0
% 37.01/11.71 |
% 37.01/11.71 | Instantiating formula (70) with sz0z00, all_0_4_4, all_75_1_98, all_85_1_112 and discharging atoms sdtlseqdt0(sz0z00, all_0_4_4) = all_85_1_112, sdtlseqdt0(sz0z00, all_0_4_4) = all_75_1_98, yields:
% 37.01/11.71 | (268) all_85_1_112 = all_75_1_98
% 37.01/11.71 |
% 37.01/11.71 | Instantiating formula (70) with sz0z00, all_0_4_4, all_64_0_92, all_85_1_112 and discharging atoms sdtlseqdt0(sz0z00, all_0_4_4) = all_85_1_112, sdtlseqdt0(sz0z00, all_0_4_4) = all_64_0_92, yields:
% 37.01/11.71 | (269) all_85_1_112 = all_64_0_92
% 37.01/11.71 |
% 37.01/11.71 | Instantiating formula (46) with all_0_1_1, all_80_5_109, all_85_6_117 and discharging atoms aScalar0(all_0_1_1) = all_85_6_117, aScalar0(all_0_1_1) = all_80_5_109, yields:
% 37.01/11.71 | (270) all_85_6_117 = all_80_5_109
% 37.01/11.71 |
% 37.01/11.71 | Instantiating formula (46) with all_0_1_1, all_75_6_103, all_80_5_109 and discharging atoms aScalar0(all_0_1_1) = all_80_5_109, aScalar0(all_0_1_1) = all_75_6_103, yields:
% 37.01/11.71 | (271) all_80_5_109 = all_75_6_103
% 37.01/11.71 |
% 37.01/11.71 | Instantiating formula (46) with all_0_1_1, all_24_2_29, all_80_5_109 and discharging atoms aScalar0(all_0_1_1) = all_80_5_109, aScalar0(all_0_1_1) = all_24_2_29, yields:
% 37.01/11.71 | (272) all_80_5_109 = all_24_2_29
% 37.01/11.71 |
% 37.01/11.71 | Instantiating formula (46) with all_0_1_1, all_24_2_29, all_75_5_102 and discharging atoms aScalar0(all_0_1_1) = all_75_5_102, aScalar0(all_0_1_1) = all_24_2_29, yields:
% 37.01/11.71 | (273) all_75_5_102 = all_24_2_29
% 37.01/11.71 |
% 37.01/11.71 | Instantiating formula (46) with all_0_1_1, all_20_2_24, all_75_5_102 and discharging atoms aScalar0(all_0_1_1) = all_75_5_102, aScalar0(all_0_1_1) = all_20_2_24, yields:
% 37.01/11.71 | (274) all_75_5_102 = all_20_2_24
% 37.01/11.71 |
% 37.01/11.71 | Instantiating formula (46) with all_0_1_1, all_12_0_12, all_85_6_117 and discharging atoms aScalar0(all_0_1_1) = all_85_6_117, aScalar0(all_0_1_1) = all_12_0_12, yields:
% 37.01/11.71 | (275) all_85_6_117 = all_12_0_12
% 37.01/11.71 |
% 37.01/11.71 | Instantiating formula (46) with all_0_3_3, all_75_3_100, all_80_3_107 and discharging atoms aScalar0(all_0_3_3) = all_80_3_107, aScalar0(all_0_3_3) = all_75_3_100, yields:
% 37.01/11.71 | (276) all_80_3_107 = all_75_3_100
% 37.01/11.71 |
% 37.01/11.71 | Instantiating formula (46) with all_0_3_3, all_60_0_87, all_80_3_107 and discharging atoms aScalar0(all_0_3_3) = all_80_3_107, aScalar0(all_0_3_3) = all_60_0_87, yields:
% 37.01/11.71 | (277) all_80_3_107 = all_60_0_87
% 37.01/11.71 |
% 37.01/11.71 | Instantiating formula (46) with all_0_3_3, all_20_1_23, all_80_3_107 and discharging atoms aScalar0(all_0_3_3) = all_80_3_107, aScalar0(all_0_3_3) = all_20_1_23, yields:
% 37.01/11.71 | (278) all_80_3_107 = all_20_1_23
% 37.01/11.71 |
% 37.01/11.71 | Instantiating formula (46) with all_0_4_4, all_75_4_101, all_85_4_115 and discharging atoms aScalar0(all_0_4_4) = all_85_4_115, aScalar0(all_0_4_4) = all_75_4_101, yields:
% 37.01/11.71 | (279) all_85_4_115 = all_75_4_101
% 37.01/11.71 |
% 37.01/11.71 | Instantiating formula (46) with all_0_4_4, all_10_0_9, all_85_4_115 and discharging atoms aScalar0(all_0_4_4) = all_85_4_115, aScalar0(all_0_4_4) = all_10_0_9, yields:
% 37.01/11.71 | (280) all_85_4_115 = all_10_0_9
% 37.01/11.72 |
% 37.01/11.72 | Instantiating formula (46) with xP, all_80_4_108, all_90_4_122 and discharging atoms aScalar0(xP) = all_90_4_122, aScalar0(xP) = all_80_4_108, yields:
% 37.01/11.72 | (281) all_90_4_122 = all_80_4_108
% 37.01/11.72 |
% 37.01/11.72 | Instantiating formula (46) with xP, all_80_6_110, 0 and discharging atoms aScalar0(xP) = all_80_6_110, aScalar0(xP) = 0, yields:
% 37.01/11.72 | (282) all_80_6_110 = 0
% 37.01/11.72 |
% 37.01/11.72 | Instantiating formula (46) with xP, all_80_6_110, all_90_6_124 and discharging atoms aScalar0(xP) = all_90_6_124, aScalar0(xP) = all_80_6_110, yields:
% 37.01/11.72 | (283) all_90_6_124 = all_80_6_110
% 37.01/11.72 |
% 37.01/11.72 | Instantiating formula (46) with xP, all_80_6_110, all_80_4_108 and discharging atoms aScalar0(xP) = all_80_4_108, aScalar0(xP) = all_80_6_110, yields:
% 37.01/11.72 | (284) all_80_4_108 = all_80_6_110
% 37.01/11.72 |
% 37.01/11.72 | Instantiating formula (46) with xP, all_18_1_21, all_90_4_122 and discharging atoms aScalar0(xP) = all_90_4_122, aScalar0(xP) = all_18_1_21, yields:
% 37.01/11.72 | (285) all_90_4_122 = all_18_1_21
% 37.01/11.72 |
% 37.01/11.72 | Instantiating formula (46) with xP, all_16_1_18, all_90_6_124 and discharging atoms aScalar0(xP) = all_90_6_124, aScalar0(xP) = all_16_1_18, yields:
% 37.01/11.72 | (286) all_90_6_124 = all_16_1_18
% 37.01/11.72 |
% 37.01/11.72 | Instantiating formula (46) with xP, all_16_2_19, all_80_4_108 and discharging atoms aScalar0(xP) = all_80_4_108, aScalar0(xP) = all_16_2_19, yields:
% 37.01/11.72 | (287) all_80_4_108 = all_16_2_19
% 37.01/11.72 |
% 37.01/11.72 | Instantiating formula (46) with xH, all_62_1_91, 0 and discharging atoms aScalar0(xH) = all_62_1_91, aScalar0(xH) = 0, yields:
% 37.01/11.72 | (288) all_62_1_91 = 0
% 37.01/11.72 |
% 37.01/11.72 | Instantiating formula (46) with xH, all_12_1_13, all_62_1_91 and discharging atoms aScalar0(xH) = all_62_1_91, aScalar0(xH) = all_12_1_13, yields:
% 37.01/11.72 | (289) all_62_1_91 = all_12_1_13
% 37.01/11.72 |
% 37.01/11.72 | Instantiating formula (46) with xH, all_12_2_14, all_12_1_13 and discharging atoms aScalar0(xH) = all_12_1_13, aScalar0(xH) = all_12_2_14, yields:
% 37.01/11.72 | (290) all_12_1_13 = all_12_2_14
% 37.01/11.72 |
% 37.01/11.72 | Instantiating formula (46) with xE, all_36_0_48, 0 and discharging atoms aScalar0(xE) = all_36_0_48, aScalar0(xE) = 0, yields:
% 37.01/11.72 | (291) all_36_0_48 = 0
% 37.01/11.72 |
% 37.01/11.72 | Instantiating formula (46) with xE, all_36_0_48, all_64_1_93 and discharging atoms aScalar0(xE) = all_64_1_93, aScalar0(xE) = all_36_0_48, yields:
% 37.01/11.72 | (292) all_64_1_93 = all_36_0_48
% 37.01/11.72 |
% 37.01/11.72 | Instantiating formula (46) with xE, all_10_1_10, all_64_1_93 and discharging atoms aScalar0(xE) = all_64_1_93, aScalar0(xE) = all_10_1_10, yields:
% 37.01/11.72 | (293) all_64_1_93 = all_10_1_10
% 37.01/11.72 |
% 37.01/11.72 | Instantiating formula (46) with xE, all_10_2_11, all_64_1_93 and discharging atoms aScalar0(xE) = all_64_1_93, aScalar0(xE) = all_10_2_11, yields:
% 37.01/11.72 | (294) all_64_1_93 = all_10_2_11
% 37.01/11.72 |
% 37.01/11.72 | Instantiating formula (46) with xD, all_60_1_88, 0 and discharging atoms aScalar0(xD) = all_60_1_88, aScalar0(xD) = 0, yields:
% 37.01/11.72 | (295) all_60_1_88 = 0
% 37.01/11.72 |
% 37.01/11.72 | Instantiating formula (46) with xD, all_32_0_41, all_60_1_88 and discharging atoms aScalar0(xD) = all_60_1_88, aScalar0(xD) = all_32_0_41, yields:
% 37.01/11.72 | (296) all_60_1_88 = all_32_0_41
% 37.01/11.72 |
% 37.01/11.72 | Instantiating formula (46) with xC, all_60_2_89, 0 and discharging atoms aScalar0(xC) = all_60_2_89, aScalar0(xC) = 0, yields:
% 37.01/11.72 | (297) all_60_2_89 = 0
% 37.01/11.72 |
% 37.01/11.72 | Instantiating formula (46) with xB, all_26_0_30, 0 and discharging atoms aScalar0(xB) = all_26_0_30, aScalar0(xB) = 0, yields:
% 37.01/11.72 | (298) all_26_0_30 = 0
% 37.01/11.72 |
% 37.01/11.72 | Instantiating formula (46) with xB, all_14_1_16, all_26_0_30 and discharging atoms aScalar0(xB) = all_26_0_30, aScalar0(xB) = all_14_1_16, yields:
% 37.01/11.72 | (299) all_26_0_30 = all_14_1_16
% 37.01/11.72 |
% 37.01/11.72 | Instantiating formula (46) with xA, all_58_0_84, 0 and discharging atoms aScalar0(xA) = all_58_0_84, aScalar0(xA) = 0, yields:
% 37.01/11.72 | (300) all_58_0_84 = 0
% 37.01/11.72 |
% 37.01/11.72 | Instantiating formula (46) with xA, all_8_1_8, all_58_0_84 and discharging atoms aScalar0(xA) = all_58_0_84, aScalar0(xA) = all_8_1_8, yields:
% 37.01/11.72 | (301) all_58_0_84 = all_8_1_8
% 37.01/11.72 |
% 37.01/11.72 | Combining equations (281,285) yields a new equation:
% 37.01/11.72 | (302) all_80_4_108 = all_18_1_21
% 37.01/11.72 |
% 37.01/11.72 | Simplifying 302 yields:
% 37.01/11.72 | (303) all_80_4_108 = all_18_1_21
% 37.01/11.72 |
% 37.01/11.72 | Combining equations (283,286) yields a new equation:
% 37.01/11.72 | (304) all_80_6_110 = all_16_1_18
% 37.01/11.72 |
% 37.01/11.72 | Simplifying 304 yields:
% 37.01/11.72 | (305) all_80_6_110 = all_16_1_18
% 37.01/11.72 |
% 37.01/11.72 | Combining equations (269,268) yields a new equation:
% 37.01/11.72 | (306) all_75_1_98 = all_64_0_92
% 37.01/11.72 |
% 37.01/11.72 | Combining equations (279,280) yields a new equation:
% 37.01/11.72 | (307) all_75_4_101 = all_10_0_9
% 37.01/11.72 |
% 37.01/11.72 | Simplifying 307 yields:
% 37.01/11.72 | (308) all_75_4_101 = all_10_0_9
% 37.01/11.72 |
% 37.01/11.72 | Combining equations (270,275) yields a new equation:
% 37.01/11.72 | (309) all_80_5_109 = all_12_0_12
% 37.01/11.72 |
% 37.01/11.72 | Simplifying 309 yields:
% 37.01/11.72 | (310) all_80_5_109 = all_12_0_12
% 37.01/11.72 |
% 37.01/11.72 | Combining equations (278,276) yields a new equation:
% 37.01/11.72 | (311) all_75_3_100 = all_20_1_23
% 37.01/11.72 |
% 37.01/11.72 | Combining equations (277,276) yields a new equation:
% 37.01/11.72 | (312) all_75_3_100 = all_60_0_87
% 37.01/11.72 |
% 37.01/11.72 | Combining equations (284,303) yields a new equation:
% 37.01/11.72 | (313) all_80_6_110 = all_18_1_21
% 37.01/11.72 |
% 37.01/11.72 | Simplifying 313 yields:
% 37.01/11.72 | (314) all_80_6_110 = all_18_1_21
% 37.01/11.72 |
% 37.01/11.72 | Combining equations (287,303) yields a new equation:
% 37.01/11.72 | (315) all_18_1_21 = all_16_2_19
% 37.01/11.72 |
% 37.01/11.72 | Combining equations (272,271) yields a new equation:
% 37.01/11.72 | (316) all_75_6_103 = all_24_2_29
% 37.01/11.72 |
% 37.01/11.72 | Combining equations (310,271) yields a new equation:
% 37.01/11.72 | (317) all_75_6_103 = all_12_0_12
% 37.01/11.72 |
% 37.01/11.72 | Combining equations (282,305) yields a new equation:
% 37.01/11.72 | (318) all_16_1_18 = 0
% 37.01/11.72 |
% 37.01/11.72 | Combining equations (314,305) yields a new equation:
% 37.01/11.72 | (319) all_18_1_21 = all_16_1_18
% 37.01/11.72 |
% 37.01/11.72 | Simplifying 319 yields:
% 37.01/11.72 | (320) all_18_1_21 = all_16_1_18
% 37.01/11.72 |
% 37.01/11.72 | Combining equations (311,312) yields a new equation:
% 37.01/11.72 | (321) all_60_0_87 = all_20_1_23
% 37.01/11.72 |
% 37.01/11.72 | Combining equations (273,274) yields a new equation:
% 37.01/11.72 | (322) all_24_2_29 = all_20_2_24
% 37.01/11.72 |
% 37.01/11.72 | Simplifying 322 yields:
% 37.01/11.72 | (323) all_24_2_29 = all_20_2_24
% 37.01/11.72 |
% 37.01/11.72 | Combining equations (316,317) yields a new equation:
% 37.01/11.72 | (324) all_24_2_29 = all_12_0_12
% 37.01/11.72 |
% 37.01/11.72 | Simplifying 324 yields:
% 37.01/11.72 | (325) all_24_2_29 = all_12_0_12
% 37.01/11.72 |
% 37.01/11.72 | Combining equations (292,293) yields a new equation:
% 37.01/11.72 | (326) all_36_0_48 = all_10_1_10
% 37.01/11.72 |
% 37.01/11.72 | Simplifying 326 yields:
% 37.01/11.72 | (327) all_36_0_48 = all_10_1_10
% 37.01/11.72 |
% 37.01/11.72 | Combining equations (294,293) yields a new equation:
% 37.01/11.72 | (328) all_10_1_10 = all_10_2_11
% 37.01/11.72 |
% 37.01/11.72 | Combining equations (289,288) yields a new equation:
% 37.01/11.72 | (329) all_12_1_13 = 0
% 37.01/11.72 |
% 37.01/11.72 | Simplifying 329 yields:
% 37.01/11.72 | (330) all_12_1_13 = 0
% 37.01/11.72 |
% 37.01/11.72 | Combining equations (295,296) yields a new equation:
% 37.01/11.72 | (331) all_32_0_41 = 0
% 37.01/11.72 |
% 37.01/11.72 | Combining equations (300,301) yields a new equation:
% 37.01/11.72 | (332) all_8_1_8 = 0
% 37.01/11.72 |
% 37.01/11.72 | Combining equations (265,264) yields a new equation:
% 37.01/11.72 | (333) all_50_4_80 = all_36_4_52
% 37.01/11.72 |
% 37.01/11.72 | Combining equations (266,264) yields a new equation:
% 37.01/11.72 | (334) all_50_4_80 = all_30_1_40
% 37.01/11.72 |
% 37.01/11.72 | Combining equations (263,264) yields a new equation:
% 37.01/11.72 | (335) all_50_4_80 = 0
% 37.01/11.72 |
% 37.01/11.72 | Combining equations (334,333) yields a new equation:
% 37.01/11.72 | (336) all_36_4_52 = all_30_1_40
% 37.01/11.72 |
% 37.01/11.72 | Combining equations (335,333) yields a new equation:
% 37.01/11.72 | (337) all_36_4_52 = 0
% 37.01/11.72 |
% 37.01/11.72 | Combining equations (327,291) yields a new equation:
% 37.01/11.72 | (338) all_10_1_10 = 0
% 37.01/11.72 |
% 37.01/11.72 | Simplifying 338 yields:
% 37.01/11.72 | (339) all_10_1_10 = 0
% 37.01/11.72 |
% 37.01/11.72 | Combining equations (259,262) yields a new equation:
% 37.01/11.72 | (340) all_34_1_47 = all_32_4_45
% 37.01/11.72 |
% 37.01/11.72 | Simplifying 340 yields:
% 37.01/11.72 | (341) all_34_1_47 = all_32_4_45
% 37.01/11.72 |
% 37.01/11.72 | Combining equations (337,336) yields a new equation:
% 37.01/11.72 | (342) all_30_1_40 = 0
% 37.01/11.72 |
% 37.01/11.72 | Combining equations (261,341) yields a new equation:
% 37.01/11.72 | (343) all_32_3_44 = all_32_4_45
% 37.01/11.72 |
% 37.01/11.72 | Simplifying 343 yields:
% 37.01/11.72 | (344) all_32_3_44 = all_32_4_45
% 37.01/11.72 |
% 37.01/11.72 | Combining equations (260,344) yields a new equation:
% 37.01/11.72 | (345) all_32_4_45 = 0
% 37.01/11.72 |
% 37.01/11.72 | Combining equations (299,298) yields a new equation:
% 37.01/11.72 | (346) all_14_1_16 = 0
% 37.01/11.72 |
% 37.01/11.72 | Simplifying 346 yields:
% 37.01/11.72 | (347) all_14_1_16 = 0
% 37.01/11.72 |
% 37.01/11.72 | Combining equations (325,323) yields a new equation:
% 37.01/11.72 | (348) all_20_2_24 = all_12_0_12
% 37.01/11.72 |
% 37.01/11.72 | Combining equations (320,315) yields a new equation:
% 37.01/11.72 | (349) all_16_1_18 = all_16_2_19
% 37.01/11.72 |
% 37.01/11.72 | Simplifying 349 yields:
% 37.01/11.72 | (350) all_16_1_18 = all_16_2_19
% 37.01/11.72 |
% 37.01/11.72 | Combining equations (350,318) yields a new equation:
% 37.01/11.72 | (351) all_16_2_19 = 0
% 37.01/11.72 |
% 37.01/11.72 | Simplifying 351 yields:
% 37.01/11.72 | (352) all_16_2_19 = 0
% 37.01/11.72 |
% 37.01/11.72 | Combining equations (290,330) yields a new equation:
% 37.01/11.72 | (353) all_12_2_14 = 0
% 37.01/11.72 |
% 37.01/11.72 | Simplifying 353 yields:
% 37.01/11.72 | (354) all_12_2_14 = 0
% 37.01/11.72 |
% 37.01/11.72 | Combining equations (328,339) yields a new equation:
% 37.01/11.72 | (355) all_10_2_11 = 0
% 37.01/11.72 |
% 37.01/11.72 | Simplifying 355 yields:
% 37.01/11.72 | (356) all_10_2_11 = 0
% 37.01/11.72 |
% 37.01/11.72 | Combining equations (352,315) yields a new equation:
% 37.01/11.72 | (357) all_18_1_21 = 0
% 37.01/11.72 |
% 37.01/11.73 | Combining equations (345,341) yields a new equation:
% 37.01/11.73 | (358) all_34_1_47 = 0
% 37.01/11.73 |
% 37.01/11.73 | Combining equations (331,296) yields a new equation:
% 37.01/11.73 | (295) all_60_1_88 = 0
% 37.01/11.73 |
% 37.01/11.73 | Combining equations (339,293) yields a new equation:
% 37.01/11.73 | (360) all_64_1_93 = 0
% 37.01/11.73 |
% 37.01/11.73 | Combining equations (348,274) yields a new equation:
% 37.01/11.73 | (361) all_75_5_102 = all_12_0_12
% 37.01/11.73 |
% 37.01/11.73 | Combining equations (321,312) yields a new equation:
% 37.01/11.73 | (311) all_75_3_100 = all_20_1_23
% 37.01/11.73 |
% 37.01/11.73 | From (306) and (213) follows:
% 37.01/11.73 | (200) sdtlseqdt0(sz0z00, all_0_4_4) = all_64_0_92
% 37.01/11.73 |
% 37.01/11.73 | From (348) and (142) follows:
% 37.01/11.73 | (124) aScalar0(all_0_1_1) = all_12_0_12
% 37.01/11.73 |
% 37.01/11.73 +-Applying beta-rule and splitting (140), into two cases.
% 37.01/11.73 |-Branch one:
% 37.01/11.73 | (365) ~ (all_18_1_21 = 0)
% 37.01/11.73 |
% 37.01/11.73 | Equations (357) can reduce 365 to:
% 37.01/11.73 | (204) $false
% 37.01/11.73 |
% 37.01/11.73 |-The branch is then unsatisfiable
% 37.01/11.73 |-Branch two:
% 37.01/11.73 | (357) all_18_1_21 = 0
% 37.01/11.73 | (368) all_18_0_20 = 0
% 37.01/11.73 |
% 37.01/11.73 | From (368) and (138) follows:
% 37.01/11.73 | (369) sdtlseqdt0(sz0z00, all_0_2_2) = 0
% 37.01/11.73 |
% 37.01/11.73 +-Applying beta-rule and splitting (131), into two cases.
% 37.01/11.73 |-Branch one:
% 37.01/11.73 | (370) ~ (all_14_1_16 = 0)
% 37.01/11.73 |
% 37.01/11.73 | Equations (347) can reduce 370 to:
% 37.01/11.73 | (204) $false
% 37.01/11.73 |
% 37.01/11.73 |-The branch is then unsatisfiable
% 37.01/11.73 |-Branch two:
% 37.01/11.73 | (347) all_14_1_16 = 0
% 37.01/11.73 | (373) all_14_0_15 = 0
% 37.01/11.73 |
% 37.01/11.73 | From (373) and (129) follows:
% 37.01/11.73 | (374) sdtlseqdt0(sz0z00, xG) = 0
% 37.01/11.73 |
% 37.01/11.73 +-Applying beta-rule and splitting (127), into two cases.
% 37.01/11.73 |-Branch one:
% 37.01/11.73 | (375) ~ (all_12_1_13 = 0)
% 37.01/11.73 |
% 37.01/11.73 | Equations (330) can reduce 375 to:
% 37.01/11.73 | (204) $false
% 37.01/11.73 |
% 37.01/11.73 |-The branch is then unsatisfiable
% 37.01/11.73 |-Branch two:
% 37.01/11.73 | (330) all_12_1_13 = 0
% 37.01/11.73 | (378) ~ (all_12_2_14 = 0) | all_12_0_12 = 0
% 37.01/11.73 |
% 37.01/11.73 +-Applying beta-rule and splitting (159), into two cases.
% 37.01/11.73 |-Branch one:
% 37.01/11.73 | (379) ~ (all_30_1_40 = 0)
% 37.01/11.73 |
% 37.01/11.73 | Equations (342) can reduce 379 to:
% 37.01/11.73 | (204) $false
% 37.01/11.73 |
% 37.01/11.73 |-The branch is then unsatisfiable
% 37.01/11.73 |-Branch two:
% 37.01/11.73 | (342) all_30_1_40 = 0
% 37.01/11.73 | (382) all_30_0_39 = 0
% 37.01/11.73 |
% 37.01/11.73 | From (382) and (158) follows:
% 37.01/11.73 | (383) sdtlseqdt0(sz0z00, xC) = 0
% 37.01/11.73 |
% 37.01/11.73 +-Applying beta-rule and splitting (198), into two cases.
% 37.01/11.73 |-Branch one:
% 37.01/11.73 | (384) ~ (all_62_1_91 = 0)
% 37.01/11.73 |
% 37.01/11.73 | Equations (288) can reduce 384 to:
% 37.01/11.73 | (204) $false
% 37.01/11.73 |
% 37.01/11.73 |-The branch is then unsatisfiable
% 37.01/11.73 |-Branch two:
% 37.01/11.73 | (288) all_62_1_91 = 0
% 37.01/11.73 | (387) all_62_0_90 = 0
% 37.01/11.73 |
% 37.01/11.73 | From (387) and (196) follows:
% 37.01/11.73 | (388) sdtlseqdt0(sz0z00, all_0_1_1) = 0
% 37.01/11.73 |
% 37.01/11.73 +-Applying beta-rule and splitting (194), into two cases.
% 37.01/11.73 |-Branch one:
% 37.01/11.73 | (389) ~ (all_60_1_88 = 0)
% 37.01/11.73 |
% 37.01/11.73 | Equations (295) can reduce 389 to:
% 37.01/11.73 | (204) $false
% 37.01/11.73 |
% 37.01/11.73 |-The branch is then unsatisfiable
% 37.01/11.73 |-Branch two:
% 37.01/11.73 | (295) all_60_1_88 = 0
% 37.01/11.73 | (392) ~ (all_60_2_89 = 0) | all_60_0_87 = 0
% 37.01/11.73 |
% 37.01/11.73 +-Applying beta-rule and splitting (392), into two cases.
% 37.01/11.73 |-Branch one:
% 37.01/11.73 | (393) ~ (all_60_2_89 = 0)
% 37.01/11.73 |
% 37.01/11.73 | Equations (297) can reduce 393 to:
% 37.01/11.73 | (204) $false
% 37.01/11.73 |
% 37.01/11.73 |-The branch is then unsatisfiable
% 37.01/11.73 |-Branch two:
% 37.01/11.73 | (297) all_60_2_89 = 0
% 37.01/11.73 | (396) all_60_0_87 = 0
% 37.01/11.73 |
% 37.01/11.73 | Combining equations (321,396) yields a new equation:
% 37.01/11.73 | (397) all_20_1_23 = 0
% 37.01/11.73 |
% 37.01/11.73 | Simplifying 397 yields:
% 37.01/11.73 | (398) all_20_1_23 = 0
% 37.01/11.73 |
% 37.01/11.73 | Combining equations (398,311) yields a new equation:
% 37.01/11.73 | (399) all_75_3_100 = 0
% 37.01/11.73 |
% 37.01/11.73 +-Applying beta-rule and splitting (378), into two cases.
% 37.01/11.73 |-Branch one:
% 37.01/11.73 | (400) ~ (all_12_2_14 = 0)
% 37.01/11.73 |
% 37.01/11.73 | Equations (354) can reduce 400 to:
% 37.01/11.73 | (204) $false
% 37.01/11.73 |
% 37.01/11.73 |-The branch is then unsatisfiable
% 37.01/11.73 |-Branch two:
% 37.01/11.73 | (354) all_12_2_14 = 0
% 37.01/11.73 | (403) all_12_0_12 = 0
% 37.01/11.73 |
% 37.01/11.73 | Combining equations (403,317) yields a new equation:
% 37.01/11.73 | (404) all_75_6_103 = 0
% 37.01/11.73 |
% 37.01/11.73 | Combining equations (403,361) yields a new equation:
% 37.01/11.73 | (405) all_75_5_102 = 0
% 37.01/11.73 |
% 37.01/11.73 | From (403) and (124) follows:
% 37.01/11.73 | (406) aScalar0(all_0_1_1) = 0
% 37.01/11.73 |
% 37.01/11.73 +-Applying beta-rule and splitting (202), into two cases.
% 37.01/11.73 |-Branch one:
% 37.01/11.73 | (407) ~ (all_64_1_93 = 0)
% 37.01/11.73 |
% 37.01/11.73 | Equations (360) can reduce 407 to:
% 37.01/11.73 | (204) $false
% 37.01/11.73 |
% 37.01/11.73 |-The branch is then unsatisfiable
% 37.01/11.73 |-Branch two:
% 37.01/11.73 | (360) all_64_1_93 = 0
% 37.01/11.73 | (410) all_64_0_92 = 0
% 37.01/11.73 |
% 37.01/11.73 | Combining equations (410,306) yields a new equation:
% 37.01/11.73 | (411) all_75_1_98 = 0
% 37.01/11.73 |
% 37.01/11.73 | From (410) and (200) follows:
% 37.01/11.73 | (412) sdtlseqdt0(sz0z00, all_0_4_4) = 0
% 37.01/11.73 |
% 37.01/11.73 +-Applying beta-rule and splitting (122), into two cases.
% 37.01/11.73 |-Branch one:
% 37.01/11.73 | (413) ~ (all_10_1_10 = 0)
% 37.01/11.73 |
% 37.01/11.73 | Equations (339) can reduce 413 to:
% 37.01/11.73 | (204) $false
% 37.01/11.73 |
% 37.01/11.73 |-The branch is then unsatisfiable
% 37.01/11.73 |-Branch two:
% 37.01/11.73 | (339) all_10_1_10 = 0
% 37.01/11.73 | (416) ~ (all_10_2_11 = 0) | all_10_0_9 = 0
% 37.01/11.73 |
% 37.01/11.73 +-Applying beta-rule and splitting (416), into two cases.
% 37.01/11.73 |-Branch one:
% 37.01/11.73 | (417) ~ (all_10_2_11 = 0)
% 37.01/11.73 |
% 37.01/11.73 | Equations (356) can reduce 417 to:
% 37.01/11.73 | (204) $false
% 37.01/11.73 |
% 37.01/11.73 |-The branch is then unsatisfiable
% 37.01/11.73 |-Branch two:
% 37.01/11.73 | (356) all_10_2_11 = 0
% 37.01/11.73 | (420) all_10_0_9 = 0
% 37.01/11.73 |
% 37.01/11.73 | Combining equations (420,308) yields a new equation:
% 37.01/11.73 | (421) all_75_4_101 = 0
% 37.01/11.73 |
% 37.01/11.73 +-Applying beta-rule and splitting (117), into two cases.
% 37.01/11.73 |-Branch one:
% 37.01/11.73 | (422) ~ (all_8_1_8 = 0)
% 37.01/11.73 |
% 37.01/11.73 | Equations (332) can reduce 422 to:
% 37.01/11.73 | (204) $false
% 37.01/11.73 |
% 37.01/11.73 |-The branch is then unsatisfiable
% 37.01/11.73 |-Branch two:
% 37.01/11.73 | (332) all_8_1_8 = 0
% 37.01/11.73 | (425) all_8_0_7 = 0
% 37.01/11.73 |
% 37.01/11.73 | From (425) and (115) follows:
% 37.01/11.73 | (426) sdtlseqdt0(sz0z00, xF) = 0
% 37.01/11.73 |
% 37.01/11.73 +-Applying beta-rule and splitting (170), into two cases.
% 37.01/11.73 |-Branch one:
% 37.01/11.73 | (427) ~ (all_34_1_47 = 0)
% 37.01/11.73 |
% 37.01/11.73 | Equations (358) can reduce 427 to:
% 37.01/11.73 | (204) $false
% 37.01/11.73 |
% 37.01/11.73 |-The branch is then unsatisfiable
% 37.01/11.73 |-Branch two:
% 37.01/11.73 | (358) all_34_1_47 = 0
% 37.01/11.73 | (430) all_34_0_46 = 0
% 37.01/11.73 |
% 37.01/11.73 | From (430) and (169) follows:
% 37.01/11.73 | (431) sdtlseqdt0(sz0z00, xD) = 0
% 37.01/11.73 |
% 37.01/11.73 +-Applying beta-rule and splitting (212), into two cases.
% 37.01/11.73 |-Branch one:
% 37.01/11.73 | (432) ~ (all_75_0_97 = 0)
% 37.01/11.73 |
% 37.01/11.73 | Equations (267) can reduce 432 to:
% 37.01/11.73 | (204) $false
% 37.01/11.73 |
% 37.01/11.73 |-The branch is then unsatisfiable
% 37.01/11.73 |-Branch two:
% 37.01/11.73 | (267) all_75_0_97 = 0
% 37.01/11.73 | (435) ~ (all_75_1_98 = 0) | ~ (all_75_2_99 = 0) | ~ (all_75_3_100 = 0) | ~ (all_75_4_101 = 0) | ~ (all_75_5_102 = 0) | ~ (all_75_6_103 = 0)
% 37.01/11.73 |
% 37.01/11.73 +-Applying beta-rule and splitting (435), into two cases.
% 37.01/11.73 |-Branch one:
% 37.01/11.73 | (436) ~ (all_75_1_98 = 0)
% 37.01/11.73 |
% 37.01/11.73 | Equations (411) can reduce 436 to:
% 37.01/11.73 | (204) $false
% 37.01/11.73 |
% 37.01/11.73 |-The branch is then unsatisfiable
% 37.01/11.73 |-Branch two:
% 37.01/11.73 | (411) all_75_1_98 = 0
% 37.01/11.73 | (439) ~ (all_75_2_99 = 0) | ~ (all_75_3_100 = 0) | ~ (all_75_4_101 = 0) | ~ (all_75_5_102 = 0) | ~ (all_75_6_103 = 0)
% 37.01/11.73 |
% 37.01/11.73 +-Applying beta-rule and splitting (439), into two cases.
% 37.01/11.73 |-Branch one:
% 37.01/11.73 | (440) ~ (all_75_2_99 = 0)
% 37.01/11.73 |
% 37.01/11.73 | Instantiating formula (15) with all_75_2_99, all_0_1_1 and discharging atoms sdtlseqdt0(all_0_1_1, all_0_1_1) = all_75_2_99, yields:
% 37.01/11.73 | (441) all_75_2_99 = 0 | ? [v0] : ( ~ (v0 = 0) & aScalar0(all_0_1_1) = v0)
% 37.01/11.73 |
% 37.01/11.73 | Instantiating formula (20) with all_75_2_99, all_0_1_1, all_0_1_1 and discharging atoms sdtlseqdt0(all_0_1_1, all_0_1_1) = all_75_2_99, yields:
% 37.01/11.73 | (442) all_75_2_99 = 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))
% 37.01/11.73 |
% 37.01/11.73 | Instantiating formula (69) with all_0_1_1, all_0_1_1 and discharging atoms sdtlseqdt0(sz0z00, all_0_1_1) = 0, yields:
% 37.01/11.73 | (443) ? [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)))
% 37.01/11.73 |
% 37.01/11.73 | Instantiating formula (69) 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:
% 37.01/11.73 | (444) ? [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)))
% 37.01/11.74 |
% 37.01/11.74 | Instantiating formula (69) 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:
% 37.01/11.74 | (445) ? [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)))
% 37.01/11.74 |
% 37.01/11.74 | Instantiating formula (69) 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:
% 37.01/11.74 | (446) ? [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)))
% 37.01/11.74 |
% 37.01/11.74 | Instantiating formula (69) 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:
% 37.01/11.74 | (447) ? [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)))
% 37.01/11.74 |
% 37.01/11.74 | Instantiating formula (69) with xG, all_0_1_1 and discharging atoms sdtlseqdt0(sz0z00, all_0_1_1) = 0, sdtlseqdt0(sz0z00, xG) = 0, yields:
% 37.01/11.74 | (448) ? [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)))
% 37.01/11.74 |
% 37.01/11.74 | Instantiating formula (69) with all_0_1_1, xG and discharging atoms sdtlseqdt0(sz0z00, all_0_1_1) = 0, sdtlseqdt0(sz0z00, xG) = 0, yields:
% 37.01/11.74 | (449) ? [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)))
% 37.01/11.74 |
% 37.01/11.74 | Instantiating formula (69) with xF, all_0_1_1 and discharging atoms sdtlseqdt0(sz0z00, all_0_1_1) = 0, sdtlseqdt0(sz0z00, xF) = 0, yields:
% 37.01/11.74 | (450) ? [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)))
% 37.01/11.74 |
% 37.01/11.74 | Instantiating formula (69) with all_0_1_1, xF and discharging atoms sdtlseqdt0(sz0z00, all_0_1_1) = 0, sdtlseqdt0(sz0z00, xF) = 0, yields:
% 37.01/11.74 | (451) ? [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)))
% 37.01/11.74 |
% 37.01/11.74 | Instantiating formula (69) with xD, all_0_1_1 and discharging atoms sdtlseqdt0(sz0z00, all_0_1_1) = 0, sdtlseqdt0(sz0z00, xD) = 0, yields:
% 37.01/11.74 | (452) ? [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)))
% 37.01/11.74 |
% 37.01/11.74 | Instantiating formula (69) with all_0_1_1, xD and discharging atoms sdtlseqdt0(sz0z00, all_0_1_1) = 0, sdtlseqdt0(sz0z00, xD) = 0, yields:
% 37.01/11.74 | (453) ? [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)))
% 37.01/11.74 |
% 37.01/11.74 | Instantiating formula (69) with xC, all_0_1_1 and discharging atoms sdtlseqdt0(sz0z00, all_0_1_1) = 0, sdtlseqdt0(sz0z00, xC) = 0, yields:
% 37.01/11.74 | (454) ? [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)))
% 37.01/11.74 |
% 37.01/11.74 | Instantiating formula (69) with all_0_1_1, xC and discharging atoms sdtlseqdt0(sz0z00, all_0_1_1) = 0, sdtlseqdt0(sz0z00, xC) = 0, yields:
% 37.01/11.74 | (455) ? [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)))
% 37.01/11.74 |
% 37.01/11.74 | Instantiating (451) with all_259_0_155, all_259_1_156, all_259_2_157, all_259_3_158, all_259_4_159, all_259_5_160 yields:
% 37.01/11.74 | (456) sdtlseqdt0(sz0z00, all_259_1_156) = all_259_0_155 & sdtlseqdt0(sz0z00, all_259_3_158) = all_259_2_157 & sdtasdt0(xF, all_0_1_1) = all_259_1_156 & sdtpldt0(xF, all_0_1_1) = all_259_3_158 & aScalar0(all_0_1_1) = all_259_4_159 & aScalar0(xF) = all_259_5_160 & ( ~ (all_259_4_159 = 0) | ~ (all_259_5_160 = 0) | (all_259_0_155 = 0 & all_259_2_157 = 0))
% 37.01/11.74 |
% 37.01/11.74 | Applying alpha-rule on (456) yields:
% 37.01/11.74 | (457) aScalar0(all_0_1_1) = all_259_4_159
% 37.01/11.74 | (458) sdtasdt0(xF, all_0_1_1) = all_259_1_156
% 37.01/11.74 | (459) sdtpldt0(xF, all_0_1_1) = all_259_3_158
% 37.01/11.74 | (460) ~ (all_259_4_159 = 0) | ~ (all_259_5_160 = 0) | (all_259_0_155 = 0 & all_259_2_157 = 0)
% 37.01/11.74 | (461) sdtlseqdt0(sz0z00, all_259_1_156) = all_259_0_155
% 37.01/11.74 | (462) sdtlseqdt0(sz0z00, all_259_3_158) = all_259_2_157
% 37.01/11.74 | (463) aScalar0(xF) = all_259_5_160
% 37.01/11.74 |
% 37.01/11.74 | Instantiating (455) with all_265_0_173, all_265_1_174, all_265_2_175, all_265_3_176, all_265_4_177, all_265_5_178 yields:
% 37.01/11.74 | (464) sdtlseqdt0(sz0z00, all_265_1_174) = all_265_0_173 & sdtlseqdt0(sz0z00, all_265_3_176) = all_265_2_175 & sdtasdt0(xC, all_0_1_1) = all_265_1_174 & sdtpldt0(xC, all_0_1_1) = all_265_3_176 & aScalar0(all_0_1_1) = all_265_4_177 & aScalar0(xC) = all_265_5_178 & ( ~ (all_265_4_177 = 0) | ~ (all_265_5_178 = 0) | (all_265_0_173 = 0 & all_265_2_175 = 0))
% 37.01/11.74 |
% 37.01/11.74 | Applying alpha-rule on (464) yields:
% 37.01/11.74 | (465) aScalar0(all_0_1_1) = all_265_4_177
% 37.01/11.74 | (466) sdtlseqdt0(sz0z00, all_265_1_174) = all_265_0_173
% 37.01/11.74 | (467) sdtasdt0(xC, all_0_1_1) = all_265_1_174
% 37.01/11.74 | (468) ~ (all_265_4_177 = 0) | ~ (all_265_5_178 = 0) | (all_265_0_173 = 0 & all_265_2_175 = 0)
% 37.01/11.74 | (469) sdtlseqdt0(sz0z00, all_265_3_176) = all_265_2_175
% 37.01/11.74 | (470) sdtpldt0(xC, all_0_1_1) = all_265_3_176
% 37.01/11.74 | (471) aScalar0(xC) = all_265_5_178
% 37.01/11.74 |
% 37.01/11.74 | Instantiating (446) with all_283_0_227, all_283_1_228, all_283_2_229, all_283_3_230, all_283_4_231, all_283_5_232 yields:
% 37.01/11.74 | (472) sdtlseqdt0(sz0z00, all_283_1_228) = all_283_0_227 & sdtlseqdt0(sz0z00, all_283_3_230) = all_283_2_229 & sdtasdt0(all_0_1_1, all_0_4_4) = all_283_1_228 & sdtpldt0(all_0_1_1, all_0_4_4) = all_283_3_230 & aScalar0(all_0_1_1) = all_283_5_232 & aScalar0(all_0_4_4) = all_283_4_231 & ( ~ (all_283_4_231 = 0) | ~ (all_283_5_232 = 0) | (all_283_0_227 = 0 & all_283_2_229 = 0))
% 37.01/11.74 |
% 37.01/11.74 | Applying alpha-rule on (472) yields:
% 37.01/11.74 | (473) ~ (all_283_4_231 = 0) | ~ (all_283_5_232 = 0) | (all_283_0_227 = 0 & all_283_2_229 = 0)
% 37.01/11.74 | (474) aScalar0(all_0_1_1) = all_283_5_232
% 37.01/11.74 | (475) sdtpldt0(all_0_1_1, all_0_4_4) = all_283_3_230
% 37.01/11.74 | (476) sdtlseqdt0(sz0z00, all_283_3_230) = all_283_2_229
% 37.01/11.74 | (477) sdtasdt0(all_0_1_1, all_0_4_4) = all_283_1_228
% 37.01/11.74 | (478) sdtlseqdt0(sz0z00, all_283_1_228) = all_283_0_227
% 37.01/11.74 | (479) aScalar0(all_0_4_4) = all_283_4_231
% 37.01/11.74 |
% 37.01/11.74 | Instantiating (444) with all_287_0_239, all_287_1_240, all_287_2_241, all_287_3_242, all_287_4_243, all_287_5_244 yields:
% 37.01/11.74 | (480) sdtlseqdt0(sz0z00, all_287_1_240) = all_287_0_239 & sdtlseqdt0(sz0z00, all_287_3_242) = all_287_2_241 & sdtasdt0(all_0_1_1, all_0_2_2) = all_287_1_240 & sdtpldt0(all_0_1_1, all_0_2_2) = all_287_3_242 & aScalar0(all_0_1_1) = all_287_5_244 & aScalar0(all_0_2_2) = all_287_4_243 & ( ~ (all_287_4_243 = 0) | ~ (all_287_5_244 = 0) | (all_287_0_239 = 0 & all_287_2_241 = 0))
% 37.01/11.74 |
% 37.01/11.74 | Applying alpha-rule on (480) yields:
% 37.01/11.74 | (481) aScalar0(all_0_1_1) = all_287_5_244
% 37.01/11.74 | (482) ~ (all_287_4_243 = 0) | ~ (all_287_5_244 = 0) | (all_287_0_239 = 0 & all_287_2_241 = 0)
% 37.01/11.74 | (483) aScalar0(all_0_2_2) = all_287_4_243
% 37.01/11.74 | (484) sdtpldt0(all_0_1_1, all_0_2_2) = all_287_3_242
% 37.01/11.74 | (485) sdtlseqdt0(sz0z00, all_287_1_240) = all_287_0_239
% 37.01/11.74 | (486) sdtasdt0(all_0_1_1, all_0_2_2) = all_287_1_240
% 37.01/11.74 | (487) sdtlseqdt0(sz0z00, all_287_3_242) = all_287_2_241
% 37.01/11.74 |
% 37.01/11.74 | Instantiating (443) with all_289_0_245, all_289_1_246, all_289_2_247, all_289_3_248, all_289_4_249, all_289_5_250 yields:
% 37.01/11.74 | (488) sdtlseqdt0(sz0z00, all_289_1_246) = all_289_0_245 & sdtlseqdt0(sz0z00, all_289_3_248) = all_289_2_247 & sdtasdt0(all_0_1_1, all_0_1_1) = all_289_1_246 & sdtpldt0(all_0_1_1, all_0_1_1) = all_289_3_248 & aScalar0(all_0_1_1) = all_289_4_249 & aScalar0(all_0_1_1) = all_289_5_250 & ( ~ (all_289_4_249 = 0) | ~ (all_289_5_250 = 0) | (all_289_0_245 = 0 & all_289_2_247 = 0))
% 37.01/11.74 |
% 37.01/11.74 | Applying alpha-rule on (488) yields:
% 37.01/11.74 | (489) aScalar0(all_0_1_1) = all_289_4_249
% 37.01/11.74 | (490) ~ (all_289_4_249 = 0) | ~ (all_289_5_250 = 0) | (all_289_0_245 = 0 & all_289_2_247 = 0)
% 37.01/11.74 | (491) sdtlseqdt0(sz0z00, all_289_1_246) = all_289_0_245
% 37.01/11.74 | (492) sdtpldt0(all_0_1_1, all_0_1_1) = all_289_3_248
% 37.01/11.74 | (493) aScalar0(all_0_1_1) = all_289_5_250
% 37.01/11.74 | (494) sdtasdt0(all_0_1_1, all_0_1_1) = all_289_1_246
% 37.01/11.74 | (495) sdtlseqdt0(sz0z00, all_289_3_248) = all_289_2_247
% 37.01/11.74 |
% 37.01/11.74 | Instantiating (449) with all_293_0_257, all_293_1_258, all_293_2_259, all_293_3_260, all_293_4_261, all_293_5_262 yields:
% 37.01/11.74 | (496) sdtlseqdt0(sz0z00, all_293_1_258) = all_293_0_257 & sdtlseqdt0(sz0z00, all_293_3_260) = all_293_2_259 & sdtasdt0(xG, all_0_1_1) = all_293_1_258 & sdtpldt0(xG, all_0_1_1) = all_293_3_260 & aScalar0(all_0_1_1) = all_293_4_261 & aScalar0(xG) = all_293_5_262 & ( ~ (all_293_4_261 = 0) | ~ (all_293_5_262 = 0) | (all_293_0_257 = 0 & all_293_2_259 = 0))
% 37.01/11.74 |
% 37.01/11.74 | Applying alpha-rule on (496) yields:
% 37.01/11.74 | (497) sdtlseqdt0(sz0z00, all_293_3_260) = all_293_2_259
% 37.01/11.74 | (498) aScalar0(all_0_1_1) = all_293_4_261
% 37.01/11.74 | (499) ~ (all_293_4_261 = 0) | ~ (all_293_5_262 = 0) | (all_293_0_257 = 0 & all_293_2_259 = 0)
% 37.01/11.74 | (500) sdtasdt0(xG, all_0_1_1) = all_293_1_258
% 37.01/11.74 | (501) sdtpldt0(xG, all_0_1_1) = all_293_3_260
% 37.01/11.74 | (502) aScalar0(xG) = all_293_5_262
% 37.01/11.74 | (503) sdtlseqdt0(sz0z00, all_293_1_258) = all_293_0_257
% 37.01/11.74 |
% 37.01/11.74 | Instantiating (448) with all_295_0_263, all_295_1_264, all_295_2_265, all_295_3_266, all_295_4_267, all_295_5_268 yields:
% 37.01/11.74 | (504) sdtlseqdt0(sz0z00, all_295_1_264) = all_295_0_263 & sdtlseqdt0(sz0z00, all_295_3_266) = all_295_2_265 & sdtasdt0(all_0_1_1, xG) = all_295_1_264 & sdtpldt0(all_0_1_1, xG) = all_295_3_266 & aScalar0(all_0_1_1) = all_295_5_268 & aScalar0(xG) = all_295_4_267 & ( ~ (all_295_4_267 = 0) | ~ (all_295_5_268 = 0) | (all_295_0_263 = 0 & all_295_2_265 = 0))
% 37.01/11.74 |
% 37.01/11.74 | Applying alpha-rule on (504) yields:
% 37.01/11.75 | (505) aScalar0(xG) = all_295_4_267
% 37.01/11.75 | (506) aScalar0(all_0_1_1) = all_295_5_268
% 37.01/11.75 | (507) sdtlseqdt0(sz0z00, all_295_1_264) = all_295_0_263
% 37.01/11.75 | (508) sdtpldt0(all_0_1_1, xG) = all_295_3_266
% 37.01/11.75 | (509) ~ (all_295_4_267 = 0) | ~ (all_295_5_268 = 0) | (all_295_0_263 = 0 & all_295_2_265 = 0)
% 37.01/11.75 | (510) sdtlseqdt0(sz0z00, all_295_3_266) = all_295_2_265
% 37.01/11.75 | (511) sdtasdt0(all_0_1_1, xG) = all_295_1_264
% 37.01/11.75 |
% 37.01/11.75 | Instantiating (445) with all_297_0_269, all_297_1_270, all_297_2_271, all_297_3_272, all_297_4_273, all_297_5_274 yields:
% 37.01/11.75 | (512) sdtlseqdt0(sz0z00, all_297_1_270) = all_297_0_269 & sdtlseqdt0(sz0z00, all_297_3_272) = all_297_2_271 & sdtasdt0(all_0_2_2, all_0_1_1) = all_297_1_270 & sdtpldt0(all_0_2_2, all_0_1_1) = all_297_3_272 & aScalar0(all_0_1_1) = all_297_4_273 & aScalar0(all_0_2_2) = all_297_5_274 & ( ~ (all_297_4_273 = 0) | ~ (all_297_5_274 = 0) | (all_297_0_269 = 0 & all_297_2_271 = 0))
% 37.01/11.75 |
% 37.01/11.75 | Applying alpha-rule on (512) yields:
% 37.01/11.75 | (513) ~ (all_297_4_273 = 0) | ~ (all_297_5_274 = 0) | (all_297_0_269 = 0 & all_297_2_271 = 0)
% 37.01/11.75 | (514) sdtasdt0(all_0_2_2, all_0_1_1) = all_297_1_270
% 37.01/11.75 | (515) sdtpldt0(all_0_2_2, all_0_1_1) = all_297_3_272
% 37.01/11.75 | (516) aScalar0(all_0_1_1) = all_297_4_273
% 37.01/11.75 | (517) sdtlseqdt0(sz0z00, all_297_3_272) = all_297_2_271
% 37.01/11.75 | (518) sdtlseqdt0(sz0z00, all_297_1_270) = all_297_0_269
% 37.01/11.75 | (519) aScalar0(all_0_2_2) = all_297_5_274
% 37.01/11.75 |
% 37.01/11.75 | Instantiating (450) with all_299_0_275, all_299_1_276, all_299_2_277, all_299_3_278, all_299_4_279, all_299_5_280 yields:
% 37.01/11.75 | (520) sdtlseqdt0(sz0z00, all_299_1_276) = all_299_0_275 & sdtlseqdt0(sz0z00, all_299_3_278) = all_299_2_277 & sdtasdt0(all_0_1_1, xF) = all_299_1_276 & sdtpldt0(all_0_1_1, xF) = all_299_3_278 & aScalar0(all_0_1_1) = all_299_5_280 & aScalar0(xF) = all_299_4_279 & ( ~ (all_299_4_279 = 0) | ~ (all_299_5_280 = 0) | (all_299_0_275 = 0 & all_299_2_277 = 0))
% 37.01/11.75 |
% 37.01/11.75 | Applying alpha-rule on (520) yields:
% 37.01/11.75 | (521) aScalar0(all_0_1_1) = all_299_5_280
% 37.01/11.75 | (522) ~ (all_299_4_279 = 0) | ~ (all_299_5_280 = 0) | (all_299_0_275 = 0 & all_299_2_277 = 0)
% 37.01/11.75 | (523) sdtlseqdt0(sz0z00, all_299_1_276) = all_299_0_275
% 37.01/11.75 | (524) sdtpldt0(all_0_1_1, xF) = all_299_3_278
% 37.01/11.75 | (525) aScalar0(xF) = all_299_4_279
% 37.01/11.75 | (526) sdtlseqdt0(sz0z00, all_299_3_278) = all_299_2_277
% 37.01/11.75 | (527) sdtasdt0(all_0_1_1, xF) = all_299_1_276
% 37.01/11.75 |
% 37.01/11.75 | Instantiating (454) with all_317_0_329, all_317_1_330, all_317_2_331, all_317_3_332, all_317_4_333, all_317_5_334 yields:
% 37.01/11.75 | (528) sdtlseqdt0(sz0z00, all_317_1_330) = all_317_0_329 & sdtlseqdt0(sz0z00, all_317_3_332) = all_317_2_331 & sdtasdt0(all_0_1_1, xC) = all_317_1_330 & sdtpldt0(all_0_1_1, xC) = all_317_3_332 & aScalar0(all_0_1_1) = all_317_5_334 & aScalar0(xC) = all_317_4_333 & ( ~ (all_317_4_333 = 0) | ~ (all_317_5_334 = 0) | (all_317_0_329 = 0 & all_317_2_331 = 0))
% 37.01/11.75 |
% 37.01/11.75 | Applying alpha-rule on (528) yields:
% 37.01/11.75 | (529) sdtpldt0(all_0_1_1, xC) = all_317_3_332
% 37.01/11.75 | (530) ~ (all_317_4_333 = 0) | ~ (all_317_5_334 = 0) | (all_317_0_329 = 0 & all_317_2_331 = 0)
% 37.01/11.75 | (531) sdtasdt0(all_0_1_1, xC) = all_317_1_330
% 37.01/11.75 | (532) aScalar0(all_0_1_1) = all_317_5_334
% 37.01/11.75 | (533) sdtlseqdt0(sz0z00, all_317_1_330) = all_317_0_329
% 37.01/11.75 | (534) aScalar0(xC) = all_317_4_333
% 37.01/11.75 | (535) sdtlseqdt0(sz0z00, all_317_3_332) = all_317_2_331
% 37.01/11.75 |
% 37.01/11.75 | Instantiating (453) with all_321_0_341, all_321_1_342, all_321_2_343, all_321_3_344, all_321_4_345, all_321_5_346 yields:
% 37.01/11.75 | (536) sdtlseqdt0(sz0z00, all_321_1_342) = all_321_0_341 & sdtlseqdt0(sz0z00, all_321_3_344) = all_321_2_343 & sdtasdt0(xD, all_0_1_1) = all_321_1_342 & sdtpldt0(xD, all_0_1_1) = all_321_3_344 & aScalar0(all_0_1_1) = all_321_4_345 & aScalar0(xD) = all_321_5_346 & ( ~ (all_321_4_345 = 0) | ~ (all_321_5_346 = 0) | (all_321_0_341 = 0 & all_321_2_343 = 0))
% 37.01/11.75 |
% 37.01/11.75 | Applying alpha-rule on (536) yields:
% 37.01/11.75 | (537) sdtlseqdt0(sz0z00, all_321_3_344) = all_321_2_343
% 37.01/11.75 | (538) sdtasdt0(xD, all_0_1_1) = all_321_1_342
% 37.01/11.75 | (539) sdtpldt0(xD, all_0_1_1) = all_321_3_344
% 37.01/11.75 | (540) ~ (all_321_4_345 = 0) | ~ (all_321_5_346 = 0) | (all_321_0_341 = 0 & all_321_2_343 = 0)
% 37.01/11.75 | (541) sdtlseqdt0(sz0z00, all_321_1_342) = all_321_0_341
% 37.01/11.75 | (542) aScalar0(all_0_1_1) = all_321_4_345
% 37.01/11.75 | (543) aScalar0(xD) = all_321_5_346
% 37.01/11.75 |
% 37.01/11.75 | Instantiating (452) with all_323_0_347, all_323_1_348, all_323_2_349, all_323_3_350, all_323_4_351, all_323_5_352 yields:
% 37.01/11.75 | (544) sdtlseqdt0(sz0z00, all_323_1_348) = all_323_0_347 & sdtlseqdt0(sz0z00, all_323_3_350) = all_323_2_349 & sdtasdt0(all_0_1_1, xD) = all_323_1_348 & sdtpldt0(all_0_1_1, xD) = all_323_3_350 & aScalar0(all_0_1_1) = all_323_5_352 & aScalar0(xD) = all_323_4_351 & ( ~ (all_323_4_351 = 0) | ~ (all_323_5_352 = 0) | (all_323_0_347 = 0 & all_323_2_349 = 0))
% 37.01/11.75 |
% 37.01/11.75 | Applying alpha-rule on (544) yields:
% 37.01/11.75 | (545) aScalar0(xD) = all_323_4_351
% 37.01/11.75 | (546) sdtlseqdt0(sz0z00, all_323_3_350) = all_323_2_349
% 37.01/11.75 | (547) sdtasdt0(all_0_1_1, xD) = all_323_1_348
% 37.01/11.75 | (548) sdtpldt0(all_0_1_1, xD) = all_323_3_350
% 37.01/11.75 | (549) sdtlseqdt0(sz0z00, all_323_1_348) = all_323_0_347
% 37.01/11.75 | (550) ~ (all_323_4_351 = 0) | ~ (all_323_5_352 = 0) | (all_323_0_347 = 0 & all_323_2_349 = 0)
% 37.01/11.75 | (551) aScalar0(all_0_1_1) = all_323_5_352
% 37.01/11.75 |
% 37.01/11.75 | Instantiating (447) with all_343_0_407, all_343_1_408, all_343_2_409, all_343_3_410, all_343_4_411, all_343_5_412 yields:
% 37.01/11.75 | (552) sdtlseqdt0(sz0z00, all_343_1_408) = all_343_0_407 & sdtlseqdt0(sz0z00, all_343_3_410) = all_343_2_409 & sdtasdt0(all_0_4_4, all_0_1_1) = all_343_1_408 & sdtpldt0(all_0_4_4, all_0_1_1) = all_343_3_410 & aScalar0(all_0_1_1) = all_343_4_411 & aScalar0(all_0_4_4) = all_343_5_412 & ( ~ (all_343_4_411 = 0) | ~ (all_343_5_412 = 0) | (all_343_0_407 = 0 & all_343_2_409 = 0))
% 37.01/11.75 |
% 37.01/11.75 | Applying alpha-rule on (552) yields:
% 37.01/11.75 | (553) sdtasdt0(all_0_4_4, all_0_1_1) = all_343_1_408
% 37.01/11.75 | (554) aScalar0(all_0_4_4) = all_343_5_412
% 37.01/11.75 | (555) sdtpldt0(all_0_4_4, all_0_1_1) = all_343_3_410
% 37.01/11.75 | (556) aScalar0(all_0_1_1) = all_343_4_411
% 37.01/11.75 | (557) sdtlseqdt0(sz0z00, all_343_3_410) = all_343_2_409
% 37.01/11.75 | (558) sdtlseqdt0(sz0z00, all_343_1_408) = all_343_0_407
% 37.01/11.75 | (559) ~ (all_343_4_411 = 0) | ~ (all_343_5_412 = 0) | (all_343_0_407 = 0 & all_343_2_409 = 0)
% 37.01/11.75 |
% 37.01/11.75 +-Applying beta-rule and splitting (442), into two cases.
% 37.01/11.75 |-Branch one:
% 37.01/11.75 | (560) all_75_2_99 = 0
% 37.01/11.75 |
% 37.01/11.75 | Equations (560) can reduce 440 to:
% 37.01/11.75 | (204) $false
% 37.01/11.75 |
% 37.01/11.75 |-The branch is then unsatisfiable
% 37.01/11.75 |-Branch two:
% 37.01/11.75 | (440) ~ (all_75_2_99 = 0)
% 37.01/11.75 | (563) ? [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))
% 37.01/11.75 |
% 37.01/11.75 | Instantiating (563) with all_353_0_425, all_353_1_426, all_353_2_427 yields:
% 37.01/11.75 | (564) sdtlseqdt0(all_0_1_1, all_0_1_1) = all_353_0_425 & aScalar0(all_0_1_1) = all_353_1_426 & aScalar0(all_0_1_1) = all_353_2_427 & ( ~ (all_353_1_426 = 0) | ~ (all_353_2_427 = 0) | all_353_0_425 = 0)
% 37.01/11.75 |
% 37.01/11.75 | Applying alpha-rule on (564) yields:
% 37.01/11.75 | (565) sdtlseqdt0(all_0_1_1, all_0_1_1) = all_353_0_425
% 37.01/11.75 | (566) aScalar0(all_0_1_1) = all_353_1_426
% 37.01/11.75 | (567) aScalar0(all_0_1_1) = all_353_2_427
% 37.01/11.75 | (568) ~ (all_353_1_426 = 0) | ~ (all_353_2_427 = 0) | all_353_0_425 = 0
% 37.01/11.75 |
% 37.01/11.75 +-Applying beta-rule and splitting (441), into two cases.
% 37.01/11.75 |-Branch one:
% 37.01/11.75 | (560) all_75_2_99 = 0
% 37.01/11.75 |
% 37.01/11.75 | Equations (560) can reduce 440 to:
% 37.01/11.75 | (204) $false
% 37.01/11.75 |
% 37.01/11.75 |-The branch is then unsatisfiable
% 37.01/11.75 |-Branch two:
% 37.01/11.75 | (440) ~ (all_75_2_99 = 0)
% 37.01/11.75 | (572) ? [v0] : ( ~ (v0 = 0) & aScalar0(all_0_1_1) = v0)
% 37.01/11.75 |
% 37.01/11.75 | Instantiating (572) with all_364_0_429 yields:
% 37.01/11.75 | (573) ~ (all_364_0_429 = 0) & aScalar0(all_0_1_1) = all_364_0_429
% 37.01/11.75 |
% 37.01/11.75 | Applying alpha-rule on (573) yields:
% 37.01/11.75 | (574) ~ (all_364_0_429 = 0)
% 37.01/11.75 | (575) aScalar0(all_0_1_1) = all_364_0_429
% 37.01/11.75 |
% 37.01/11.75 | Instantiating formula (46) with all_0_1_1, all_353_1_426, all_364_0_429 and discharging atoms aScalar0(all_0_1_1) = all_364_0_429, aScalar0(all_0_1_1) = all_353_1_426, yields:
% 37.01/11.75 | (576) all_364_0_429 = all_353_1_426
% 37.01/11.75 |
% 37.01/11.75 | Instantiating formula (46) with all_0_1_1, all_323_5_352, all_343_4_411 and discharging atoms aScalar0(all_0_1_1) = all_343_4_411, aScalar0(all_0_1_1) = all_323_5_352, yields:
% 37.01/11.75 | (577) all_343_4_411 = all_323_5_352
% 37.01/11.75 |
% 37.01/11.75 | Instantiating formula (46) with all_0_1_1, all_321_4_345, all_323_5_352 and discharging atoms aScalar0(all_0_1_1) = all_323_5_352, aScalar0(all_0_1_1) = all_321_4_345, yields:
% 37.01/11.75 | (578) all_323_5_352 = all_321_4_345
% 37.01/11.75 |
% 37.01/11.75 | Instantiating formula (46) with all_0_1_1, all_317_5_334, all_321_4_345 and discharging atoms aScalar0(all_0_1_1) = all_321_4_345, aScalar0(all_0_1_1) = all_317_5_334, yields:
% 37.01/11.75 | (579) all_321_4_345 = all_317_5_334
% 37.01/11.75 |
% 37.01/11.75 | Instantiating formula (46) with all_0_1_1, all_299_5_280, all_353_1_426 and discharging atoms aScalar0(all_0_1_1) = all_353_1_426, aScalar0(all_0_1_1) = all_299_5_280, yields:
% 37.01/11.75 | (580) all_353_1_426 = all_299_5_280
% 37.01/11.75 |
% 37.01/11.75 | Instantiating formula (46) with all_0_1_1, all_299_5_280, all_353_2_427 and discharging atoms aScalar0(all_0_1_1) = all_353_2_427, aScalar0(all_0_1_1) = all_299_5_280, yields:
% 37.01/11.75 | (581) all_353_2_427 = all_299_5_280
% 37.01/11.75 |
% 37.01/11.75 | Instantiating formula (46) with all_0_1_1, all_299_5_280, all_317_5_334 and discharging atoms aScalar0(all_0_1_1) = all_317_5_334, aScalar0(all_0_1_1) = all_299_5_280, yields:
% 37.01/11.75 | (582) all_317_5_334 = all_299_5_280
% 37.01/11.75 |
% 37.01/11.75 | Instantiating formula (46) with all_0_1_1, all_297_4_273, all_299_5_280 and discharging atoms aScalar0(all_0_1_1) = all_299_5_280, aScalar0(all_0_1_1) = all_297_4_273, yields:
% 37.01/11.75 | (583) all_299_5_280 = all_297_4_273
% 37.01/11.75 |
% 37.01/11.75 | Instantiating formula (46) with all_0_1_1, all_293_4_261, all_295_5_268 and discharging atoms aScalar0(all_0_1_1) = all_295_5_268, aScalar0(all_0_1_1) = all_293_4_261, yields:
% 37.01/11.75 | (584) all_295_5_268 = all_293_4_261
% 37.01/11.75 |
% 37.01/11.75 | Instantiating formula (46) with all_0_1_1, all_289_4_249, all_364_0_429 and discharging atoms aScalar0(all_0_1_1) = all_364_0_429, aScalar0(all_0_1_1) = all_289_4_249, yields:
% 37.01/11.75 | (585) all_364_0_429 = all_289_4_249
% 37.01/11.75 |
% 37.01/11.75 | Instantiating formula (46) with all_0_1_1, all_289_5_250, 0 and discharging atoms aScalar0(all_0_1_1) = all_289_5_250, aScalar0(all_0_1_1) = 0, yields:
% 37.01/11.76 | (586) all_289_5_250 = 0
% 37.01/11.76 |
% 37.01/11.76 | Instantiating formula (46) with all_0_1_1, all_289_5_250, all_293_4_261 and discharging atoms aScalar0(all_0_1_1) = all_293_4_261, aScalar0(all_0_1_1) = all_289_5_250, yields:
% 37.01/11.76 | (587) all_293_4_261 = all_289_5_250
% 37.01/11.76 |
% 37.01/11.76 | Instantiating formula (46) with all_0_1_1, all_287_5_244, all_295_5_268 and discharging atoms aScalar0(all_0_1_1) = all_295_5_268, aScalar0(all_0_1_1) = all_287_5_244, yields:
% 37.01/11.76 | (588) all_295_5_268 = all_287_5_244
% 37.01/11.76 |
% 37.01/11.76 | Instantiating formula (46) with all_0_1_1, all_283_5_232, all_353_2_427 and discharging atoms aScalar0(all_0_1_1) = all_353_2_427, aScalar0(all_0_1_1) = all_283_5_232, yields:
% 37.01/11.76 | (589) all_353_2_427 = all_283_5_232
% 37.01/11.76 |
% 37.01/11.76 | Instantiating formula (46) with all_0_1_1, all_283_5_232, all_293_4_261 and discharging atoms aScalar0(all_0_1_1) = all_293_4_261, aScalar0(all_0_1_1) = all_283_5_232, yields:
% 37.01/11.76 | (590) all_293_4_261 = all_283_5_232
% 37.01/11.76 |
% 37.01/11.76 | Instantiating formula (46) with all_0_1_1, all_265_4_177, all_353_2_427 and discharging atoms aScalar0(all_0_1_1) = all_353_2_427, aScalar0(all_0_1_1) = all_265_4_177, yields:
% 37.01/11.76 | (591) all_353_2_427 = all_265_4_177
% 37.01/11.76 |
% 37.01/11.76 | Instantiating formula (46) with all_0_1_1, all_259_4_159, all_343_4_411 and discharging atoms aScalar0(all_0_1_1) = all_343_4_411, aScalar0(all_0_1_1) = all_259_4_159, yields:
% 37.01/11.76 | (592) all_343_4_411 = all_259_4_159
% 37.01/11.76 |
% 37.01/11.76 | Combining equations (576,585) yields a new equation:
% 37.01/11.76 | (593) all_353_1_426 = all_289_4_249
% 37.01/11.76 |
% 37.01/11.76 | Simplifying 593 yields:
% 37.01/11.76 | (594) all_353_1_426 = all_289_4_249
% 37.01/11.76 |
% 37.01/11.76 | Combining equations (580,594) yields a new equation:
% 37.01/11.76 | (595) all_299_5_280 = all_289_4_249
% 37.01/11.76 |
% 37.01/11.76 | Simplifying 595 yields:
% 37.01/11.76 | (596) all_299_5_280 = all_289_4_249
% 37.01/11.76 |
% 37.01/11.76 | Combining equations (589,591) yields a new equation:
% 37.01/11.76 | (597) all_283_5_232 = all_265_4_177
% 37.01/11.76 |
% 37.01/11.76 | Simplifying 597 yields:
% 37.01/11.76 | (598) all_283_5_232 = all_265_4_177
% 37.01/11.76 |
% 37.01/11.76 | Combining equations (581,591) yields a new equation:
% 37.01/11.76 | (599) all_299_5_280 = all_265_4_177
% 37.01/11.76 |
% 37.01/11.76 | Simplifying 599 yields:
% 37.01/11.76 | (600) all_299_5_280 = all_265_4_177
% 37.01/11.76 |
% 37.01/11.76 | Combining equations (577,592) yields a new equation:
% 37.01/11.76 | (601) all_323_5_352 = all_259_4_159
% 37.01/11.76 |
% 37.01/11.76 | Simplifying 601 yields:
% 37.01/11.76 | (602) all_323_5_352 = all_259_4_159
% 37.01/11.76 |
% 37.01/11.76 | Combining equations (578,602) yields a new equation:
% 37.01/11.76 | (603) all_321_4_345 = all_259_4_159
% 37.01/11.76 |
% 37.01/11.76 | Simplifying 603 yields:
% 37.01/11.76 | (604) all_321_4_345 = all_259_4_159
% 37.01/11.76 |
% 37.01/11.76 | Combining equations (579,604) yields a new equation:
% 37.01/11.76 | (605) all_317_5_334 = all_259_4_159
% 37.01/11.76 |
% 37.01/11.76 | Simplifying 605 yields:
% 37.01/11.76 | (606) all_317_5_334 = all_259_4_159
% 37.01/11.76 |
% 37.01/11.76 | Combining equations (582,606) yields a new equation:
% 37.01/11.76 | (607) all_299_5_280 = all_259_4_159
% 37.01/11.76 |
% 37.01/11.76 | Simplifying 607 yields:
% 37.01/11.76 | (608) all_299_5_280 = all_259_4_159
% 37.01/11.76 |
% 37.01/11.76 | Combining equations (596,583) yields a new equation:
% 37.01/11.76 | (609) all_297_4_273 = all_289_4_249
% 37.01/11.76 |
% 37.01/11.76 | Combining equations (600,583) yields a new equation:
% 37.01/11.76 | (610) all_297_4_273 = all_265_4_177
% 37.01/11.76 |
% 37.01/11.76 | Combining equations (608,583) yields a new equation:
% 37.01/11.76 | (611) all_297_4_273 = all_259_4_159
% 37.01/11.76 |
% 37.01/11.76 | Combining equations (611,609) yields a new equation:
% 37.01/11.76 | (612) all_289_4_249 = all_259_4_159
% 37.01/11.76 |
% 37.01/11.76 | Combining equations (610,609) yields a new equation:
% 37.01/11.76 | (613) all_289_4_249 = all_265_4_177
% 37.01/11.76 |
% 37.01/11.76 | Combining equations (584,588) yields a new equation:
% 37.01/11.76 | (614) all_293_4_261 = all_287_5_244
% 37.01/11.76 |
% 37.01/11.76 | Simplifying 614 yields:
% 37.01/11.76 | (615) all_293_4_261 = all_287_5_244
% 37.01/11.76 |
% 37.01/11.76 | Combining equations (590,615) yields a new equation:
% 37.01/11.76 | (616) all_287_5_244 = all_283_5_232
% 37.01/11.76 |
% 37.01/11.76 | Combining equations (587,615) yields a new equation:
% 37.01/11.76 | (617) all_289_5_250 = all_287_5_244
% 37.01/11.76 |
% 37.01/11.76 | Simplifying 617 yields:
% 37.01/11.76 | (618) all_289_5_250 = all_287_5_244
% 37.01/11.76 |
% 37.01/11.76 | Combining equations (613,612) yields a new equation:
% 37.01/11.76 | (619) all_265_4_177 = all_259_4_159
% 37.01/11.76 |
% 37.01/11.76 | Simplifying 619 yields:
% 37.01/11.76 | (620) all_265_4_177 = all_259_4_159
% 37.01/11.76 |
% 37.01/11.76 | Combining equations (618,586) yields a new equation:
% 37.01/11.76 | (621) all_287_5_244 = 0
% 37.01/11.76 |
% 37.01/11.76 | Simplifying 621 yields:
% 37.01/11.76 | (622) all_287_5_244 = 0
% 37.01/11.76 |
% 37.01/11.76 | Combining equations (616,622) yields a new equation:
% 37.01/11.76 | (623) all_283_5_232 = 0
% 37.01/11.76 |
% 37.01/11.76 | Simplifying 623 yields:
% 37.01/11.76 | (624) all_283_5_232 = 0
% 37.01/11.76 |
% 37.01/11.76 | Combining equations (598,624) yields a new equation:
% 37.01/11.76 | (625) all_265_4_177 = 0
% 37.01/11.76 |
% 37.01/11.76 | Simplifying 625 yields:
% 37.01/11.76 | (626) all_265_4_177 = 0
% 37.01/11.76 |
% 37.01/11.76 | Combining equations (626,620) yields a new equation:
% 37.01/11.76 | (627) all_259_4_159 = 0
% 37.01/11.76 |
% 37.01/11.76 | Combining equations (627,612) yields a new equation:
% 37.01/11.76 | (628) all_289_4_249 = 0
% 37.01/11.76 |
% 37.01/11.76 | Combining equations (628,585) yields a new equation:
% 37.01/11.76 | (629) all_364_0_429 = 0
% 37.01/11.76 |
% 37.01/11.76 | Equations (629) can reduce 574 to:
% 37.01/11.76 | (204) $false
% 37.01/11.76 |
% 37.01/11.76 |-The branch is then unsatisfiable
% 37.01/11.76 |-Branch two:
% 37.01/11.76 | (560) all_75_2_99 = 0
% 37.01/11.76 | (632) ~ (all_75_3_100 = 0) | ~ (all_75_4_101 = 0) | ~ (all_75_5_102 = 0) | ~ (all_75_6_103 = 0)
% 37.01/11.76 |
% 37.01/11.76 +-Applying beta-rule and splitting (632), into two cases.
% 37.01/11.76 |-Branch one:
% 37.01/11.76 | (633) ~ (all_75_3_100 = 0)
% 37.01/11.76 |
% 37.01/11.76 | Equations (399) can reduce 633 to:
% 37.01/11.76 | (204) $false
% 37.01/11.76 |
% 37.01/11.76 |-The branch is then unsatisfiable
% 37.01/11.76 |-Branch two:
% 37.01/11.76 | (399) all_75_3_100 = 0
% 37.01/11.76 | (636) ~ (all_75_4_101 = 0) | ~ (all_75_5_102 = 0) | ~ (all_75_6_103 = 0)
% 37.01/11.76 |
% 37.01/11.76 +-Applying beta-rule and splitting (636), into two cases.
% 37.01/11.76 |-Branch one:
% 37.01/11.76 | (637) ~ (all_75_4_101 = 0)
% 37.01/11.76 |
% 37.01/11.76 | Equations (421) can reduce 637 to:
% 37.01/11.76 | (204) $false
% 37.01/11.76 |
% 37.01/11.76 |-The branch is then unsatisfiable
% 37.01/11.76 |-Branch two:
% 37.01/11.76 | (421) all_75_4_101 = 0
% 37.01/11.76 | (640) ~ (all_75_5_102 = 0) | ~ (all_75_6_103 = 0)
% 37.01/11.76 |
% 37.01/11.76 +-Applying beta-rule and splitting (640), into two cases.
% 37.01/11.76 |-Branch one:
% 37.01/11.76 | (641) ~ (all_75_5_102 = 0)
% 37.01/11.76 |
% 37.01/11.76 | Equations (405) can reduce 641 to:
% 37.01/11.76 | (204) $false
% 37.01/11.76 |
% 37.01/11.76 |-The branch is then unsatisfiable
% 37.01/11.76 |-Branch two:
% 37.01/11.76 | (405) all_75_5_102 = 0
% 37.01/11.76 | (644) ~ (all_75_6_103 = 0)
% 37.01/11.76 |
% 37.01/11.76 | Equations (404) can reduce 644 to:
% 37.01/11.76 | (204) $false
% 37.01/11.76 |
% 37.01/11.76 |-The branch is then unsatisfiable
% 37.01/11.76 % SZS output end Proof for theBenchmark
% 37.01/11.76
% 37.01/11.76 11179ms
%------------------------------------------------------------------------------