TSTP Solution File: RNG073+2 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : RNG073+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 20:25:16 EDT 2022
% Result : Theorem 16.50s 6.42s
% Output : Proof 29.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : RNG073+2 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n017.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 16:32:40 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.58 ____ _
% 0.18/0.58 ___ / __ \_____(_)___ ________ __________
% 0.18/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.18/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.18/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.18/0.58
% 0.18/0.58 A Theorem Prover for First-Order Logic
% 0.18/0.58 (ePrincess v.1.0)
% 0.18/0.58
% 0.18/0.58 (c) Philipp Rümmer, 2009-2015
% 0.18/0.58 (c) Peter Backeman, 2014-2015
% 0.18/0.58 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.18/0.58 Free software under GNU Lesser General Public License (LGPL).
% 0.18/0.58 Bug reports to peter@backeman.se
% 0.18/0.58
% 0.18/0.58 For more information, visit http://user.uu.se/~petba168/breu/
% 0.18/0.58
% 0.18/0.58 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.75/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.85/0.98 Prover 0: Preprocessing ...
% 3.90/1.49 Prover 0: Constructing countermodel ...
% 14.17/5.92 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 14.64/6.03 Prover 1: Preprocessing ...
% 15.13/6.18 Prover 1: Constructing countermodel ...
% 16.50/6.42 Prover 1: proved (495ms)
% 16.50/6.42 Prover 0: stopped
% 16.50/6.42
% 16.50/6.42 No countermodel exists, formula is valid
% 16.50/6.42 % SZS status Theorem for theBenchmark
% 16.50/6.42
% 16.50/6.42 Generating proof ... found it (size 229)
% 28.24/9.26
% 28.24/9.26 % SZS output start Proof for theBenchmark
% 28.24/9.26 Assumed formulas after preprocessing and simplification:
% 28.24/9.26 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ( ~ (v15 = 0) & ~ (v13 = v11) & ~ (v1 = sz00) & sdtasasdt0(xq, xq) = xD & sdtasasdt0(xp, xq) = xE & sdtasasdt0(xp, xp) = xC & sziznziztdt0(xt) = xq & sziznziztdt0(xs) = xp & sdtlbdtrb0(xt, v1) = xB & sdtlbdtrb0(xs, v1) = xA & aVector0(xq) = 0 & aVector0(xp) = 0 & aVector0(xt) = 0 & aVector0(xs) = 0 & aDimensionOf0(xq) = v3 & aDimensionOf0(xp) = v2 & aDimensionOf0(xt) = v1 & aDimensionOf0(xs) = v1 & sdtlseqdt0(v14, v12) = 0 & sdtlseqdt0(v13, v11) = 0 & sdtlseqdt0(v12, v14) = 0 & sdtlseqdt0(v11, v13) = v15 & sdtlseqdt0(v7, v10) = 0 & sdtlseqdt0(v6, xN) = 0 & sdtlseqdt0(v4, v5) = 0 & sdtlseqdt0(sz0z00, v13) = 0 & sdtlseqdt0(sz0z00, v11) = 0 & smndt0(sz0z00) = v0 & sdtasdt0(v13, v13) = v14 & sdtasdt0(v11, v11) = v12 & sdtasdt0(xS, xS) = v9 & sdtasdt0(xP, xP) = v6 & sdtasdt0(xR, xS) = xN & sdtasdt0(xR, xR) = v8 & sdtasdt0(xF, xD) = xS & sdtasdt0(xE, xH) = xP & sdtasdt0(xE, xE) = v4 & sdtasdt0(xC, xG) = xR & sdtasdt0(xC, xD) = v5 & sdtasdt0(xB, xB) = xG & sdtasdt0(xA, xB) = xH & sdtasdt0(xA, xA) = xF & sdtpldt0(v8, v9) = v10 & sdtpldt0(v6, v6) = v7 & sdtpldt0(xP, xP) = v11 & sdtpldt0(xR, xS) = v13 & aScalar0(xN) = 0 & aScalar0(xS) = 0 & aScalar0(xP) = 0 & aScalar0(xR) = 0 & aScalar0(xH) = 0 & aScalar0(xG) = 0 & aScalar0(xF) = 0 & aScalar0(xE) = 0 & aScalar0(xD) = 0 & aScalar0(xC) = 0 & aScalar0(xB) = 0 & aScalar0(xA) = 0 & aScalar0(sz0z00) = 0 & szszuzczcdt0(v3) = v1 & szszuzczcdt0(v2) = v1 & aNaturalNumber0(sz00) = 0 & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (sdtasdt0(v17, v19) = v24) | ~ (sdtasdt0(v17, v18) = v23) | ~ (sdtasdt0(v16, v19) = v21) | ~ (sdtasdt0(v16, v18) = v20) | ~ (sdtpldt0(v23, v24) = v25) | ~ (sdtpldt0(v22, v25) = v26) | ~ (sdtpldt0(v20, v21) = v22) | ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : (sdtasdt0(v31, v32) = v33 & sdtpldt0(v18, v19) = v32 & sdtpldt0(v16, v17) = v31 & aScalar0(v19) = v30 & aScalar0(v18) = v29 & aScalar0(v17) = v28 & aScalar0(v16) = v27 & ( ~ (v30 = 0) | ~ (v29 = 0) | ~ (v28 = 0) | ~ (v27 = 0) | v33 = v26))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v18 = sz00 | ~ (sdtasasdt0(v19, v20) = v21) | ~ (sziznziztdt0(v17) = v20) | ~ (sziznziztdt0(v16) = v19) | ~ (sdtlbdtrb0(v17, v18) = v23) | ~ (sdtlbdtrb0(v16, v18) = v22) | ~ (aDimensionOf0(v17) = v18) | ~ (aDimensionOf0(v16) = v18) | ~ (sdtasdt0(v22, v23) = v24) | ~ (sdtpldt0(v21, v24) = v25) | ? [v26] : ? [v27] : ? [v28] : (sdtasasdt0(v16, v17) = v28 & aVector0(v17) = v27 & aVector0(v16) = v26 & ( ~ (v27 = 0) | ~ (v26 = 0) | v28 = v25))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = 0 | ~ (sdtasasdt0(v17, v17) = v21) | ~ (sdtasasdt0(v16, v17) = v18) | ~ (sdtasasdt0(v16, v16) = v20) | ~ (sdtlseqdt0(v19, v22) = v23) | ~ (sdtasdt0(v20, v21) = v22) | ~ (sdtasdt0(v18, v18) = v19) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (aVector0(v17) = v25 & aVector0(v16) = v24 & aDimensionOf0(v17) = v27 & aDimensionOf0(v16) = v26 & iLess0(v26, v1) = v28 & ( ~ (v28 = 0) | ~ (v27 = v26) | ~ (v25 = 0) | ~ (v24 = 0)))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = 0 | ~ (sdtlseqdt0(v20, v21) = v22) | ~ (sdtasdt0(v17, v19) = v21) | ~ (sdtasdt0(v16, v18) = v20) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : (sdtlseqdt0(v18, v19) = v29 & sdtlseqdt0(v16, v17) = v27 & sdtlseqdt0(sz0z00, v18) = v28 & aScalar0(v19) = v26 & aScalar0(v18) = v25 & aScalar0(v17) = v24 & aScalar0(v16) = v23 & ( ~ (v29 = 0) | ~ (v28 = 0) | ~ (v27 = 0) | ~ (v26 = 0) | ~ (v25 = 0) | ~ (v24 = 0) | ~ (v23 = 0)))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = 0 | ~ (sdtlseqdt0(v20, v21) = v22) | ~ (sdtpldt0(v17, v19) = v21) | ~ (sdtpldt0(v16, v18) = v20) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (sdtlseqdt0(v18, v19) = v28 & sdtlseqdt0(v16, v17) = v27 & aScalar0(v19) = v26 & aScalar0(v18) = v25 & aScalar0(v17) = v24 & aScalar0(v16) = v23 & ( ~ (v28 = 0) | ~ (v27 = 0) | ~ (v26 = 0) | ~ (v25 = 0) | ~ (v24 = 0) | ~ (v23 = 0)))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (sdtasdt0(v16, v18) = v20) | ~ (sdtasdt0(v16, v17) = v19) | ~ (sdtpldt0(v19, v20) = v21) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : (sdtasdt0(v27, v18) = v28 & sdtasdt0(v17, v18) = v29 & sdtasdt0(v16, v25) = v26 & sdtpldt0(v20, v29) = v30 & sdtpldt0(v17, v18) = v25 & sdtpldt0(v16, v17) = v27 & aScalar0(v18) = v24 & aScalar0(v17) = v23 & aScalar0(v16) = v22 & ( ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | (v30 = v28 & v26 = v21)))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (smndt0(v17) = v19) | ~ (smndt0(v16) = v18) | ~ (sdtasdt0(v18, v19) = v20) | ? [v21] : ? [v22] : ? [v23] : (sdtasdt0(v16, v17) = v23 & aScalar0(v17) = v22 & aScalar0(v16) = v21 & ( ~ (v22 = 0) | ~ (v21 = 0) | v23 = v20))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (sdtpldt0(v19, v18) = v20) | ~ (sdtpldt0(v16, v17) = v19) | ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : (sdtasdt0(v27, v18) = v28 & sdtasdt0(v17, v18) = v29 & sdtasdt0(v17, v16) = v31 & sdtasdt0(v16, v29) = v30 & sdtasdt0(v16, v17) = v27 & sdtpldt0(v17, v18) = v24 & sdtpldt0(v17, v16) = v26 & sdtpldt0(v16, v24) = v25 & aScalar0(v18) = v23 & aScalar0(v17) = v22 & aScalar0(v16) = v21 & ( ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | (v31 = v27 & v30 = v28 & v26 = v19 & v25 = v20)))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v19 = 0 | ~ (sdtlseqdt0(v16, v18) = v19) | ~ (sdtlseqdt0(v16, v17) = 0) | ? [v20] : ? [v21] : ? [v22] : ? [v23] : (sdtlseqdt0(v17, v18) = v23 & aScalar0(v18) = v22 & aScalar0(v17) = v21 & aScalar0(v16) = v20 & ( ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0)))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v17 = v16 | ~ (sdtasasdt0(v19, v18) = v17) | ~ (sdtasasdt0(v19, v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v17 = v16 | ~ (sdtlbdtrb0(v19, v18) = v17) | ~ (sdtlbdtrb0(v19, v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v17 = v16 | ~ (sdtlseqdt0(v19, v18) = v17) | ~ (sdtlseqdt0(v19, v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v17 = v16 | ~ (sdtasdt0(v19, v18) = v17) | ~ (sdtasdt0(v19, v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v17 = v16 | ~ (sdtpldt0(v19, v18) = v17) | ~ (sdtpldt0(v19, v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v17 = v16 | ~ (iLess0(v19, v18) = v17) | ~ (iLess0(v19, v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (sziznziztdt0(v17) = v19) | ~ (sziznziztdt0(v16) = v18) | ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : (aVector0(v17) = v21 & aVector0(v16) = v20 & aDimensionOf0(v19) = v25 & aDimensionOf0(v18) = v24 & aDimensionOf0(v17) = v23 & aDimensionOf0(v16) = v22 & ( ~ (v23 = v22) | ~ (v21 = 0) | ~ (v20 = 0) | v25 = v24 | v22 = sz00))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (smndt0(v16) = v18) | ~ (sdtasdt0(v18, v17) = v19) | ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : (smndt0(v24) = v25 & smndt0(v17) = v22 & sdtasdt0(v16, v22) = v23 & sdtasdt0(v16, v17) = v24 & aScalar0(v17) = v21 & aScalar0(v16) = v20 & ( ~ (v21 = 0) | ~ (v20 = 0) | (v25 = v19 & v23 = v19)))) & ! [v16] : ! [v17] : ! [v18] : (v18 = sz0z00 | ~ (sdtasasdt0(v16, v17) = v18) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : (aVector0(v17) = v20 & aVector0(v16) = v19 & aDimensionOf0(v17) = v22 & aDimensionOf0(v16) = v21 & ( ~ (v22 = sz00) | ~ (v21 = sz00) | ~ (v20 = 0) | ~ (v19 = 0)))) & ! [v16] : ! [v17] : ! [v18] : (v18 = 0 | ~ (sdtlseqdt0(v16, v17) = v18) | ? [v19] : ? [v20] : ? [v21] : (sdtlseqdt0(v17, v16) = v21 & aScalar0(v17) = v20 & aScalar0(v16) = v19 & ( ~ (v20 = 0) | ~ (v19 = 0) | v21 = 0))) & ! [v16] : ! [v17] : ! [v18] : (v18 = 0 | ~ (iLess0(v16, v17) = v18) | ~ (szszuzczcdt0(v16) = v17) | ? [v19] : ( ~ (v19 = 0) & aNaturalNumber0(v16) = v19)) & ! [v16] : ! [v17] : ! [v18] : (v17 = v16 | ~ (sziznziztdt0(v18) = v17) | ~ (sziznziztdt0(v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : (v17 = v16 | ~ (aVector0(v18) = v17) | ~ (aVector0(v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : (v17 = v16 | ~ (aDimensionOf0(v18) = v17) | ~ (aDimensionOf0(v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : (v17 = v16 | ~ (smndt0(v18) = v17) | ~ (smndt0(v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : (v17 = v16 | ~ (aScalar0(v18) = v17) | ~ (aScalar0(v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : (v17 = v16 | ~ (szszuzczcdt0(v18) = v17) | ~ (szszuzczcdt0(v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : (v17 = v16 | ~ (szszuzczcdt0(v17) = v18) | ~ (szszuzczcdt0(v16) = v18) | ? [v19] : ? [v20] : (aNaturalNumber0(v17) = v20 & aNaturalNumber0(v16) = v19 & ( ~ (v20 = 0) | ~ (v19 = 0)))) & ! [v16] : ! [v17] : ! [v18] : (v17 = v16 | ~ (aNaturalNumber0(v18) = v17) | ~ (aNaturalNumber0(v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : ( ~ (sdtasasdt0(v16, v17) = v18) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : (aVector0(v17) = v20 & aVector0(v16) = v19 & aDimensionOf0(v17) = v22 & aDimensionOf0(v16) = v21 & aScalar0(v18) = v23 & ( ~ (v22 = v21) | ~ (v20 = 0) | ~ (v19 = 0) | v23 = 0))) & ! [v16] : ! [v17] : ! [v18] : ( ~ (sdtlbdtrb0(v16, v17) = v18) | ? [v19] : ? [v20] : ? [v21] : (aVector0(v16) = v19 & aScalar0(v18) = v21 & aNaturalNumber0(v17) = v20 & ( ~ (v20 = 0) | ~ (v19 = 0) | v21 = 0))) & ! [v16] : ! [v17] : ! [v18] : ( ~ (smndt0(v16) = v17) | ~ (sdtpldt0(v17, v16) = v18) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : (smndt0(v17) = v25 & sdtasdt0(v16, sz0z00) = v22 & sdtasdt0(sz0z00, v16) = v23 & sdtpldt0(v16, v17) = v24 & sdtpldt0(v16, sz0z00) = v20 & sdtpldt0(sz0z00, v16) = v21 & aScalar0(v16) = v19 & ( ~ (v19 = 0) | (v25 = v16 & v24 = sz0z00 & v23 = sz0z00 & v22 = sz0z00 & v21 = v16 & v20 = v16 & v18 = sz0z00 & v0 = sz0z00)))) & ! [v16] : ! [v17] : ! [v18] : ( ~ (sdtasdt0(v16, v17) = v18) | ? [v19] : ? [v20] : ? [v21] : (aScalar0(v18) = v21 & aScalar0(v17) = v20 & aScalar0(v16) = v19 & ( ~ (v20 = 0) | ~ (v19 = 0) | v21 = 0))) & ! [v16] : ! [v17] : ! [v18] : ( ~ (sdtpldt0(v16, v17) = v18) | ? [v19] : ? [v20] : ? [v21] : (aScalar0(v18) = v21 & aScalar0(v17) = v20 & aScalar0(v16) = v19 & ( ~ (v20 = 0) | ~ (v19 = 0) | v21 = 0))) & ! [v16] : ! [v17] : (v17 = v16 | ~ (sdtlseqdt0(v16, v17) = 0) | ? [v18] : ? [v19] : ? [v20] : (sdtlseqdt0(v17, v16) = v20 & aScalar0(v17) = v19 & aScalar0(v16) = v18 & ( ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0)))) & ! [v16] : ! [v17] : (v17 = v16 | ~ (sdtlseqdt0(sz0z00, v17) = 0) | ~ (sdtlseqdt0(sz0z00, v16) = 0) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : (sdtasdt0(v17, v17) = v21 & sdtasdt0(v16, v16) = v20 & aScalar0(v17) = v19 & aScalar0(v16) = v18 & ( ~ (v21 = v20) | ~ (v19 = 0) | ~ (v18 = 0)))) & ! [v16] : ! [v17] : (v17 = 0 | ~ (sdtlseqdt0(v16, v16) = v17) | ? [v18] : ( ~ (v18 = 0) & aScalar0(v16) = v18)) & ! [v16] : ! [v17] : ( ~ (sdtasasdt0(v16, v16) = v17) | ? [v18] : ? [v19] : (aVector0(v16) = v18 & sdtlseqdt0(sz0z00, v17) = v19 & ( ~ (v18 = 0) | v19 = 0))) & ! [v16] : ! [v17] : ( ~ (sziznziztdt0(v16) = v17) | ? [v18] : ? [v19] : (aVector0(v16) = v18 & aDimensionOf0(v16) = v19 & ( ~ (v18 = 0) | v19 = sz00 | ( ! [v20] : ! [v21] : ! [v22] : ( ~ (sdtlbdtrb0(v16, v21) = v22) | ~ (aVector0(v17) = v20) | ? [v23] : ? [v24] : (sdtlbdtrb0(v17, v21) = v24 & aNaturalNumber0(v21) = v23 & ( ~ (v23 = 0) | v24 = v22))) & ! [v20] : (v20 = v17 | ~ (aVector0(v20) = 0) | ? [v21] : ? [v22] : ? [v23] : ? [v24] : ((v22 = 0 & ~ (v24 = v23) & sdtlbdtrb0(v20, v21) = v23 & sdtlbdtrb0(v16, v21) = v24 & aNaturalNumber0(v21) = 0) | ( ~ (v22 = v19) & aDimensionOf0(v20) = v21 & szszuzczcdt0(v21) = v22))) & ! [v20] : (v20 = 0 | ~ (aVector0(v17) = v20)) & ! [v20] : ( ~ (aVector0(v17) = v20) | ? [v21] : (aDimensionOf0(v17) = v21 & szszuzczcdt0(v21) = v19)))))) & ! [v16] : ! [v17] : ( ~ (sdtlbdtrb0(xp, v16) = v17) | ? [v18] : ? [v19] : (sdtlbdtrb0(xs, v16) = v19 & aNaturalNumber0(v16) = v18 & ( ~ (v18 = 0) | v19 = v17))) & ! [v16] : ! [v17] : ( ~ (sdtlbdtrb0(xt, v16) = v17) | ? [v18] : ? [v19] : (sdtlbdtrb0(xq, v16) = v19 & aNaturalNumber0(v16) = v18 & ( ~ (v18 = 0) | v19 = v17))) & ! [v16] : ! [v17] : ( ~ (sdtlseqdt0(sz0z00, v17) = 0) | ~ (sdtlseqdt0(sz0z00, v16) = 0) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : (sdtlseqdt0(sz0z00, v22) = v23 & sdtlseqdt0(sz0z00, v20) = v21 & sdtasdt0(v16, v17) = v22 & sdtpldt0(v16, v17) = v20 & aScalar0(v17) = v19 & aScalar0(v16) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0) | (v23 = 0 & v21 = 0)))) & ! [v16] : ! [v17] : ( ~ (smndt0(v16) = v17) | ? [v18] : ? [v19] : (aScalar0(v17) = v19 & aScalar0(v16) = v18 & ( ~ (v18 = 0) | v19 = 0))) & ! [v16] : ! [v17] : ( ~ (sdtasdt0(v16, v16) = v17) | ? [v18] : ? [v19] : (sdtlseqdt0(sz0z00, v17) = v19 & aScalar0(v16) = v18 & ( ~ (v18 = 0) | v19 = 0))) & ! [v16] : ! [v17] : ( ~ (szszuzczcdt0(v16) = v17) | ? [v18] : ? [v19] : (aNaturalNumber0(v17) = v19 & aNaturalNumber0(v16) = v18 & ( ~ (v18 = 0) | (v19 = 0 & ~ (v17 = sz00))))) & ! [v16] : (v16 = sz00 | ~ (aNaturalNumber0(v16) = 0) | ? [v17] : (szszuzczcdt0(v17) = v16 & aNaturalNumber0(v17) = 0)) & ! [v16] : ( ~ (aVector0(v16) = 0) | ? [v17] : (aDimensionOf0(v16) = v17 & aNaturalNumber0(v17) = 0)))
% 28.61/9.32 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10, all_0_11_11, all_0_12_12, all_0_13_13, all_0_14_14, all_0_15_15 yields:
% 28.61/9.32 | (1) ~ (all_0_0_0 = 0) & ~ (all_0_2_2 = all_0_4_4) & ~ (all_0_14_14 = sz00) & sdtasasdt0(xq, xq) = xD & sdtasasdt0(xp, xq) = xE & sdtasasdt0(xp, xp) = xC & sziznziztdt0(xt) = xq & sziznziztdt0(xs) = xp & sdtlbdtrb0(xt, all_0_14_14) = xB & sdtlbdtrb0(xs, all_0_14_14) = xA & aVector0(xq) = 0 & aVector0(xp) = 0 & aVector0(xt) = 0 & aVector0(xs) = 0 & aDimensionOf0(xq) = all_0_12_12 & aDimensionOf0(xp) = all_0_13_13 & aDimensionOf0(xt) = all_0_14_14 & aDimensionOf0(xs) = all_0_14_14 & sdtlseqdt0(all_0_1_1, all_0_3_3) = 0 & sdtlseqdt0(all_0_2_2, all_0_4_4) = 0 & sdtlseqdt0(all_0_3_3, all_0_1_1) = 0 & sdtlseqdt0(all_0_4_4, all_0_2_2) = all_0_0_0 & sdtlseqdt0(all_0_8_8, all_0_5_5) = 0 & sdtlseqdt0(all_0_9_9, xN) = 0 & sdtlseqdt0(all_0_11_11, all_0_10_10) = 0 & sdtlseqdt0(sz0z00, all_0_2_2) = 0 & sdtlseqdt0(sz0z00, all_0_4_4) = 0 & smndt0(sz0z00) = all_0_15_15 & sdtasdt0(all_0_2_2, all_0_2_2) = all_0_1_1 & sdtasdt0(all_0_4_4, all_0_4_4) = all_0_3_3 & sdtasdt0(xS, xS) = all_0_6_6 & sdtasdt0(xP, xP) = all_0_9_9 & sdtasdt0(xR, xS) = xN & sdtasdt0(xR, xR) = all_0_7_7 & sdtasdt0(xF, xD) = xS & sdtasdt0(xE, xH) = xP & sdtasdt0(xE, xE) = all_0_11_11 & sdtasdt0(xC, xG) = xR & sdtasdt0(xC, xD) = all_0_10_10 & sdtasdt0(xB, xB) = xG & sdtasdt0(xA, xB) = xH & sdtasdt0(xA, xA) = xF & sdtpldt0(all_0_7_7, all_0_6_6) = all_0_5_5 & sdtpldt0(all_0_9_9, all_0_9_9) = all_0_8_8 & sdtpldt0(xP, xP) = all_0_4_4 & sdtpldt0(xR, xS) = all_0_2_2 & aScalar0(xN) = 0 & aScalar0(xS) = 0 & aScalar0(xP) = 0 & aScalar0(xR) = 0 & aScalar0(xH) = 0 & aScalar0(xG) = 0 & aScalar0(xF) = 0 & aScalar0(xE) = 0 & aScalar0(xD) = 0 & aScalar0(xC) = 0 & aScalar0(xB) = 0 & aScalar0(xA) = 0 & aScalar0(sz0z00) = 0 & szszuzczcdt0(all_0_12_12) = all_0_14_14 & szszuzczcdt0(all_0_13_13) = all_0_14_14 & 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_14_14) = 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_15_15 = sz0z00)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasdt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (aScalar0(v2) = v5 & aScalar0(v1) = v4 & aScalar0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (aScalar0(v2) = v5 & aScalar0(v1) = v4 & aScalar0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (sdtlseqdt0(v0, v1) = 0) | ? [v2] : ? [v3] : ? [v4] : (sdtlseqdt0(v1, v0) = v4 & aScalar0(v1) = v3 & aScalar0(v0) = v2 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (sdtlseqdt0(sz0z00, v1) = 0) | ~ (sdtlseqdt0(sz0z00, v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (sdtasdt0(v1, v1) = v5 & sdtasdt0(v0, v0) = v4 & aScalar0(v1) = v3 & aScalar0(v0) = v2 & ( ~ (v5 = v4) | ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (sdtlseqdt0(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & aScalar0(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (sdtasasdt0(v0, v0) = v1) | ? [v2] : ? [v3] : (aVector0(v0) = v2 & sdtlseqdt0(sz0z00, v1) = v3 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (sziznziztdt0(v0) = v1) | ? [v2] : ? [v3] : (aVector0(v0) = v2 & aDimensionOf0(v0) = v3 & ( ~ (v2 = 0) | v3 = sz00 | ( ! [v4] : ! [v5] : ! [v6] : ( ~ (sdtlbdtrb0(v0, v5) = v6) | ~ (aVector0(v1) = v4) | ? [v7] : ? [v8] : (sdtlbdtrb0(v1, v5) = v8 & aNaturalNumber0(v5) = v7 & ( ~ (v7 = 0) | v8 = v6))) & ! [v4] : (v4 = v1 | ~ (aVector0(v4) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ((v6 = 0 & ~ (v8 = v7) & sdtlbdtrb0(v4, v5) = v7 & sdtlbdtrb0(v0, v5) = v8 & aNaturalNumber0(v5) = 0) | ( ~ (v6 = v3) & aDimensionOf0(v4) = v5 & szszuzczcdt0(v5) = v6))) & ! [v4] : (v4 = 0 | ~ (aVector0(v1) = v4)) & ! [v4] : ( ~ (aVector0(v1) = v4) | ? [v5] : (aDimensionOf0(v1) = v5 & szszuzczcdt0(v5) = v3)))))) & ! [v0] : ! [v1] : ( ~ (sdtlbdtrb0(xp, v0) = v1) | ? [v2] : ? [v3] : (sdtlbdtrb0(xs, v0) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v2 = 0) | v3 = v1))) & ! [v0] : ! [v1] : ( ~ (sdtlbdtrb0(xt, v0) = v1) | ? [v2] : ? [v3] : (sdtlbdtrb0(xq, v0) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v2 = 0) | v3 = v1))) & ! [v0] : ! [v1] : ( ~ (sdtlseqdt0(sz0z00, v1) = 0) | ~ (sdtlseqdt0(sz0z00, v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (sdtlseqdt0(sz0z00, v6) = v7 & sdtlseqdt0(sz0z00, v4) = v5 & sdtasdt0(v0, v1) = v6 & sdtpldt0(v0, v1) = v4 & aScalar0(v1) = v3 & aScalar0(v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | (v7 = 0 & v5 = 0)))) & ! [v0] : ! [v1] : ( ~ (smndt0(v0) = v1) | ? [v2] : ? [v3] : (aScalar0(v1) = v3 & aScalar0(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (sdtasdt0(v0, v0) = v1) | ? [v2] : ? [v3] : (sdtlseqdt0(sz0z00, v1) = v3 & aScalar0(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (szszuzczcdt0(v0) = v1) | ? [v2] : ? [v3] : (aNaturalNumber0(v1) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v2 = 0) | (v3 = 0 & ~ (v1 = sz00))))) & ! [v0] : (v0 = sz00 | ~ (aNaturalNumber0(v0) = 0) | ? [v1] : (szszuzczcdt0(v1) = v0 & aNaturalNumber0(v1) = 0)) & ! [v0] : ( ~ (aVector0(v0) = 0) | ? [v1] : (aDimensionOf0(v0) = v1 & aNaturalNumber0(v1) = 0))
% 28.61/9.34 |
% 28.61/9.34 | Applying alpha-rule on (1) yields:
% 28.61/9.34 | (2) ! [v0] : ! [v1] : ( ~ (smndt0(v0) = v1) | ? [v2] : ? [v3] : (aScalar0(v1) = v3 & aScalar0(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 28.61/9.34 | (3) aScalar0(xG) = 0
% 28.61/9.34 | (4) ! [v0] : ( ~ (aVector0(v0) = 0) | ? [v1] : (aDimensionOf0(v0) = v1 & aNaturalNumber0(v1) = 0))
% 28.61/9.34 | (5) ! [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)))
% 28.61/9.34 | (6) ! [v0] : (v0 = sz00 | ~ (aNaturalNumber0(v0) = 0) | ? [v1] : (szszuzczcdt0(v1) = v0 & aNaturalNumber0(v1) = 0))
% 28.61/9.34 | (7) ! [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))))
% 28.61/9.34 | (8) ! [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_14_14) = v12 & ( ~ (v12 = 0) | ~ (v11 = v10) | ~ (v9 = 0) | ~ (v8 = 0))))
% 28.61/9.34 | (9) aScalar0(xD) = 0
% 28.61/9.34 | (10) aScalar0(xA) = 0
% 28.61/9.34 | (11) sdtlseqdt0(all_0_1_1, all_0_3_3) = 0
% 28.61/9.34 | (12) sdtasasdt0(xq, xq) = xD
% 28.61/9.34 | (13) aScalar0(xH) = 0
% 28.61/9.34 | (14) sdtasdt0(xA, xB) = xH
% 28.61/9.34 | (15) ! [v0] : ! [v1] : (v1 = 0 | ~ (sdtlseqdt0(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & aScalar0(v0) = v2))
% 28.61/9.34 | (16) ! [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))))
% 28.61/9.34 | (17) sdtlseqdt0(all_0_8_8, all_0_5_5) = 0
% 28.61/9.34 | (18) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aVector0(v2) = v1) | ~ (aVector0(v2) = v0))
% 28.61/9.34 | (19) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtlbdtrb0(v3, v2) = v1) | ~ (sdtlbdtrb0(v3, v2) = v0))
% 28.61/9.34 | (20) ! [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)))
% 28.61/9.34 | (21) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (szszuzczcdt0(v2) = v1) | ~ (szszuzczcdt0(v2) = v0))
% 28.61/9.34 | (22) sdtasdt0(all_0_4_4, all_0_4_4) = all_0_3_3
% 28.61/9.34 | (23) sziznziztdt0(xs) = xp
% 28.61/9.34 | (24) aVector0(xp) = 0
% 28.61/9.34 | (25) aScalar0(xB) = 0
% 28.61/9.34 | (26) aScalar0(xS) = 0
% 28.61/9.34 | (27) sdtlseqdt0(all_0_3_3, all_0_1_1) = 0
% 28.61/9.34 | (28) sdtasdt0(xS, xS) = all_0_6_6
% 28.61/9.34 | (29) aScalar0(xF) = 0
% 28.61/9.34 | (30) ! [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)))
% 28.61/9.34 | (31) ~ (all_0_0_0 = 0)
% 28.61/9.34 | (32) ! [v0] : ! [v1] : ( ~ (sdtlbdtrb0(xt, v0) = v1) | ? [v2] : ? [v3] : (sdtlbdtrb0(xq, v0) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v2 = 0) | v3 = v1)))
% 28.61/9.34 | (33) ! [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)))
% 28.61/9.35 | (34) aVector0(xt) = 0
% 28.61/9.35 | (35) szszuzczcdt0(all_0_12_12) = all_0_14_14
% 28.61/9.35 | (36) ! [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)))
% 28.61/9.35 | (37) ! [v0] : ! [v1] : ( ~ (szszuzczcdt0(v0) = v1) | ? [v2] : ? [v3] : (aNaturalNumber0(v1) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v2 = 0) | (v3 = 0 & ~ (v1 = sz00)))))
% 28.61/9.35 | (38) sdtlseqdt0(all_0_2_2, all_0_4_4) = 0
% 28.61/9.35 | (39) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtasasdt0(v3, v2) = v1) | ~ (sdtasasdt0(v3, v2) = v0))
% 28.61/9.35 | (40) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aNaturalNumber0(v2) = v1) | ~ (aNaturalNumber0(v2) = v0))
% 28.61/9.35 | (41) sdtlbdtrb0(xt, all_0_14_14) = xB
% 28.61/9.35 | (42) aScalar0(sz0z00) = 0
% 28.61/9.35 | (43) ! [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))))
% 28.61/9.35 | (44) ! [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))))
% 28.61/9.35 | (45) ! [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_15_15 = sz0z00))))
% 28.61/9.35 | (46) ! [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))))
% 28.61/9.35 | (47) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0))
% 28.61/9.35 | (48) sdtasdt0(xF, xD) = xS
% 28.61/9.35 | (49) sdtlbdtrb0(xs, all_0_14_14) = xA
% 28.61/9.35 | (50) sdtasdt0(xB, xB) = xG
% 28.61/9.35 | (51) ~ (all_0_14_14 = sz00)
% 28.61/9.35 | (52) aScalar0(xP) = 0
% 28.61/9.35 | (53) sdtasasdt0(xp, xq) = xE
% 28.61/9.35 | (54) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aScalar0(v2) = v1) | ~ (aScalar0(v2) = v0))
% 28.61/9.35 | (55) ! [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)))
% 28.61/9.35 | (56) ! [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)))
% 28.61/9.35 | (57) ! [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))))
% 28.61/9.35 | (58) sdtasasdt0(xp, xp) = xC
% 28.61/9.35 | (59) aScalar0(xC) = 0
% 28.61/9.35 | (60) szszuzczcdt0(all_0_13_13) = all_0_14_14
% 28.61/9.35 | (61) sdtasdt0(xC, xG) = xR
% 28.61/9.35 | (62) sdtpldt0(xP, xP) = all_0_4_4
% 28.61/9.35 | (63) sdtpldt0(all_0_9_9, all_0_9_9) = all_0_8_8
% 28.61/9.35 | (64) aDimensionOf0(xt) = all_0_14_14
% 28.61/9.35 | (65) sdtpldt0(xR, xS) = all_0_2_2
% 28.61/9.35 | (66) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aDimensionOf0(v2) = v1) | ~ (aDimensionOf0(v2) = v0))
% 28.61/9.35 | (67) sdtasdt0(xR, xS) = xN
% 28.61/9.35 | (68) sdtasdt0(xR, xR) = all_0_7_7
% 28.61/9.35 | (69) ! [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))))
% 28.61/9.35 | (70) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (szszuzczcdt0(v1) = v2) | ~ (szszuzczcdt0(v0) = v2) | ? [v3] : ? [v4] : (aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0))))
% 28.61/9.35 | (71) sdtlseqdt0(sz0z00, all_0_4_4) = 0
% 28.61/9.35 | (72) sdtasdt0(all_0_2_2, all_0_2_2) = all_0_1_1
% 28.61/9.35 | (73) sdtasdt0(xE, xE) = all_0_11_11
% 28.61/9.35 | (74) ~ (all_0_2_2 = all_0_4_4)
% 28.61/9.35 | (75) ! [v0] : ! [v1] : ( ~ (sdtasasdt0(v0, v0) = v1) | ? [v2] : ? [v3] : (aVector0(v0) = v2 & sdtlseqdt0(sz0z00, v1) = v3 & ( ~ (v2 = 0) | v3 = 0)))
% 28.61/9.35 | (76) ! [v0] : ! [v1] : ( ~ (sdtasdt0(v0, v0) = v1) | ? [v2] : ? [v3] : (sdtlseqdt0(sz0z00, v1) = v3 & aScalar0(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 28.61/9.35 | (77) ! [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))))
% 28.61/9.36 | (78) smndt0(sz0z00) = all_0_15_15
% 28.61/9.36 | (79) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (iLess0(v0, v1) = v2) | ~ (szszuzczcdt0(v0) = v1) | ? [v3] : ( ~ (v3 = 0) & aNaturalNumber0(v0) = v3))
% 28.61/9.36 | (80) ! [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))))
% 28.61/9.36 | (81) aScalar0(xE) = 0
% 28.61/9.36 | (82) sdtlseqdt0(sz0z00, all_0_2_2) = 0
% 28.61/9.36 | (83) sdtlseqdt0(all_0_4_4, all_0_2_2) = all_0_0_0
% 28.61/9.36 | (84) ! [v0] : ! [v1] : ( ~ (sdtlbdtrb0(xp, v0) = v1) | ? [v2] : ? [v3] : (sdtlbdtrb0(xs, v0) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v2 = 0) | v3 = v1)))
% 28.61/9.36 | (85) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtlseqdt0(v3, v2) = v1) | ~ (sdtlseqdt0(v3, v2) = v0))
% 28.61/9.36 | (86) sziznziztdt0(xt) = xq
% 28.61/9.36 | (87) aNaturalNumber0(sz00) = 0
% 28.61/9.36 | (88) sdtasdt0(xE, xH) = xP
% 28.61/9.36 | (89) sdtasdt0(xC, xD) = all_0_10_10
% 28.61/9.36 | (90) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtasdt0(v3, v2) = v1) | ~ (sdtasdt0(v3, v2) = v0))
% 28.61/9.36 | (91) aDimensionOf0(xp) = all_0_13_13
% 28.61/9.36 | (92) aScalar0(xR) = 0
% 28.61/9.36 | (93) sdtlseqdt0(all_0_11_11, all_0_10_10) = 0
% 28.61/9.36 | (94) ! [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)))
% 28.61/9.36 | (95) aDimensionOf0(xs) = all_0_14_14
% 28.61/9.36 | (96) sdtpldt0(all_0_7_7, all_0_6_6) = all_0_5_5
% 28.61/9.36 | (97) aScalar0(xN) = 0
% 28.61/9.36 | (98) sdtasdt0(xP, xP) = all_0_9_9
% 28.61/9.36 | (99) aVector0(xs) = 0
% 28.61/9.36 | (100) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (smndt0(v2) = v1) | ~ (smndt0(v2) = v0))
% 28.61/9.36 | (101) sdtlseqdt0(all_0_9_9, xN) = 0
% 28.61/9.36 | (102) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (sziznziztdt0(v2) = v1) | ~ (sziznziztdt0(v2) = v0))
% 28.61/9.36 | (103) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (iLess0(v3, v2) = v1) | ~ (iLess0(v3, v2) = v0))
% 28.61/9.36 | (104) ! [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))))))
% 28.61/9.36 | (105) aVector0(xq) = 0
% 28.61/9.36 | (106) ! [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)))
% 28.61/9.36 | (107) sdtasdt0(xA, xA) = xF
% 28.61/9.36 | (108) aDimensionOf0(xq) = all_0_12_12
% 28.61/9.36 | (109) ! [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))))
% 28.61/9.36 |
% 28.61/9.36 | Instantiating formula (16) with all_0_1_1, all_0_3_3 and discharging atoms sdtlseqdt0(all_0_3_3, all_0_1_1) = 0, yields:
% 28.61/9.36 | (110) all_0_1_1 = all_0_3_3 | ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(all_0_1_1, all_0_3_3) = v2 & aScalar0(all_0_1_1) = v1 & aScalar0(all_0_3_3) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 28.61/9.36 |
% 28.61/9.36 | Instantiating formula (43) with all_0_2_2, all_0_2_2 and discharging atoms sdtlseqdt0(sz0z00, all_0_2_2) = 0, yields:
% 28.61/9.36 | (111) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (sdtlseqdt0(sz0z00, v4) = v5 & sdtlseqdt0(sz0z00, v2) = v3 & sdtasdt0(all_0_2_2, all_0_2_2) = v4 & sdtpldt0(all_0_2_2, all_0_2_2) = v2 & aScalar0(all_0_2_2) = v1 & aScalar0(all_0_2_2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v5 = 0 & v3 = 0)))
% 28.61/9.36 |
% 28.61/9.36 | Instantiating formula (7) with all_0_2_2, all_0_4_4 and discharging atoms sdtlseqdt0(sz0z00, all_0_2_2) = 0, sdtlseqdt0(sz0z00, all_0_4_4) = 0, yields:
% 28.61/9.36 | (112) all_0_2_2 = all_0_4_4 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (sdtasdt0(all_0_2_2, all_0_2_2) = v3 & sdtasdt0(all_0_4_4, all_0_4_4) = v2 & aScalar0(all_0_2_2) = v1 & aScalar0(all_0_4_4) = v0 & ( ~ (v3 = v2) | ~ (v1 = 0) | ~ (v0 = 0)))
% 28.61/9.36 |
% 28.61/9.36 | Instantiating formula (43) with all_0_4_4, all_0_2_2 and discharging atoms sdtlseqdt0(sz0z00, all_0_2_2) = 0, sdtlseqdt0(sz0z00, all_0_4_4) = 0, yields:
% 28.61/9.37 | (113) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (sdtlseqdt0(sz0z00, v4) = v5 & sdtlseqdt0(sz0z00, v2) = v3 & sdtasdt0(all_0_2_2, all_0_4_4) = v4 & sdtpldt0(all_0_2_2, all_0_4_4) = v2 & aScalar0(all_0_2_2) = v0 & aScalar0(all_0_4_4) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v5 = 0 & v3 = 0)))
% 28.61/9.37 |
% 28.61/9.37 | Instantiating formula (43) with all_0_2_2, all_0_4_4 and discharging atoms sdtlseqdt0(sz0z00, all_0_2_2) = 0, sdtlseqdt0(sz0z00, all_0_4_4) = 0, yields:
% 28.61/9.37 | (114) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (sdtlseqdt0(sz0z00, v4) = v5 & sdtlseqdt0(sz0z00, v2) = v3 & sdtasdt0(all_0_4_4, all_0_2_2) = v4 & sdtpldt0(all_0_4_4, all_0_2_2) = v2 & aScalar0(all_0_2_2) = v1 & aScalar0(all_0_4_4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v5 = 0 & v3 = 0)))
% 28.61/9.37 |
% 28.61/9.37 | Instantiating formula (43) with all_0_4_4, all_0_4_4 and discharging atoms sdtlseqdt0(sz0z00, all_0_4_4) = 0, yields:
% 28.61/9.37 | (115) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (sdtlseqdt0(sz0z00, v4) = v5 & sdtlseqdt0(sz0z00, v2) = v3 & sdtasdt0(all_0_4_4, all_0_4_4) = v4 & sdtpldt0(all_0_4_4, all_0_4_4) = v2 & aScalar0(all_0_4_4) = v1 & aScalar0(all_0_4_4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v5 = 0 & v3 = 0)))
% 28.61/9.37 |
% 28.61/9.37 | Instantiating formula (76) with all_0_1_1, all_0_2_2 and discharging atoms sdtasdt0(all_0_2_2, all_0_2_2) = all_0_1_1, yields:
% 28.61/9.37 | (116) ? [v0] : ? [v1] : (sdtlseqdt0(sz0z00, all_0_1_1) = v1 & aScalar0(all_0_2_2) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 28.61/9.37 |
% 28.61/9.37 | Instantiating formula (56) with all_0_1_1, all_0_2_2, all_0_2_2 and discharging atoms sdtasdt0(all_0_2_2, all_0_2_2) = all_0_1_1, yields:
% 28.61/9.37 | (117) ? [v0] : ? [v1] : ? [v2] : (aScalar0(all_0_1_1) = v2 & aScalar0(all_0_2_2) = v1 & aScalar0(all_0_2_2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 28.61/9.37 |
% 28.61/9.37 | Instantiating formula (76) with all_0_3_3, all_0_4_4 and discharging atoms sdtasdt0(all_0_4_4, all_0_4_4) = all_0_3_3, yields:
% 28.61/9.37 | (118) ? [v0] : ? [v1] : (sdtlseqdt0(sz0z00, all_0_3_3) = v1 & aScalar0(all_0_4_4) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 28.61/9.37 |
% 28.61/9.37 | Instantiating formula (56) with all_0_3_3, all_0_4_4, all_0_4_4 and discharging atoms sdtasdt0(all_0_4_4, all_0_4_4) = all_0_3_3, yields:
% 28.61/9.37 | (119) ? [v0] : ? [v1] : ? [v2] : (aScalar0(all_0_3_3) = v2 & aScalar0(all_0_4_4) = v1 & aScalar0(all_0_4_4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 28.61/9.37 |
% 28.61/9.37 | Instantiating formula (76) with all_0_6_6, xS and discharging atoms sdtasdt0(xS, xS) = all_0_6_6, yields:
% 28.61/9.37 | (120) ? [v0] : ? [v1] : (sdtlseqdt0(sz0z00, all_0_6_6) = v1 & aScalar0(xS) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 28.61/9.37 |
% 28.61/9.37 | Instantiating formula (56) with all_0_6_6, xS, xS and discharging atoms sdtasdt0(xS, xS) = all_0_6_6, yields:
% 28.61/9.37 | (121) ? [v0] : ? [v1] : ? [v2] : (aScalar0(all_0_6_6) = v2 & aScalar0(xS) = v1 & aScalar0(xS) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 28.61/9.37 |
% 28.61/9.37 | Instantiating formula (76) with all_0_9_9, xP and discharging atoms sdtasdt0(xP, xP) = all_0_9_9, yields:
% 28.61/9.37 | (122) ? [v0] : ? [v1] : (sdtlseqdt0(sz0z00, all_0_9_9) = v1 & aScalar0(xP) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 28.61/9.37 |
% 28.61/9.37 | Instantiating formula (56) with all_0_9_9, xP, xP and discharging atoms sdtasdt0(xP, xP) = all_0_9_9, yields:
% 28.61/9.37 | (123) ? [v0] : ? [v1] : ? [v2] : (aScalar0(all_0_9_9) = v2 & aScalar0(xP) = v1 & aScalar0(xP) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 28.61/9.37 |
% 28.61/9.37 | Instantiating formula (76) with all_0_7_7, xR and discharging atoms sdtasdt0(xR, xR) = all_0_7_7, yields:
% 28.61/9.37 | (124) ? [v0] : ? [v1] : (sdtlseqdt0(sz0z00, all_0_7_7) = v1 & aScalar0(xR) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 28.61/9.37 |
% 28.61/9.37 | Instantiating formula (56) with all_0_7_7, xR, xR and discharging atoms sdtasdt0(xR, xR) = all_0_7_7, yields:
% 28.61/9.37 | (125) ? [v0] : ? [v1] : ? [v2] : (aScalar0(all_0_7_7) = v2 & aScalar0(xR) = v1 & aScalar0(xR) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 28.61/9.37 |
% 28.61/9.37 | Instantiating formula (80) with all_0_8_8, all_0_9_9, all_0_9_9, xP, xP, xP and discharging atoms sdtasdt0(xP, xP) = all_0_9_9, sdtpldt0(all_0_9_9, all_0_9_9) = all_0_8_8, yields:
% 28.61/9.37 | (126) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (sdtasdt0(v5, xP) = v6 & sdtasdt0(xP, v3) = v4 & sdtasdt0(xP, xP) = v7 & sdtpldt0(all_0_9_9, v7) = v8 & sdtpldt0(xP, xP) = v5 & sdtpldt0(xP, xP) = v3 & aScalar0(xP) = v2 & aScalar0(xP) = v1 & aScalar0(xP) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v8 = v6 & v4 = all_0_8_8)))
% 28.61/9.37 |
% 28.61/9.37 | Instantiating formula (20) with all_0_4_4, xP, xP and discharging atoms sdtpldt0(xP, xP) = all_0_4_4, yields:
% 28.61/9.37 | (127) ? [v0] : ? [v1] : ? [v2] : (aScalar0(all_0_4_4) = v2 & aScalar0(xP) = v1 & aScalar0(xP) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 28.61/9.37 |
% 28.61/9.37 | Instantiating formula (77) with all_0_0_0, all_0_2_2, all_0_4_4, xS, xP, xR, xP and discharging atoms sdtlseqdt0(all_0_4_4, all_0_2_2) = all_0_0_0, sdtpldt0(xP, xP) = all_0_4_4, sdtpldt0(xR, xS) = all_0_2_2, yields:
% 28.61/9.37 | (128) all_0_0_0 = 0 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (sdtlseqdt0(xP, xS) = v5 & sdtlseqdt0(xP, xR) = v4 & aScalar0(xS) = v3 & aScalar0(xP) = v2 & aScalar0(xP) = v0 & aScalar0(xR) = v1 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 28.61/9.37 |
% 28.61/9.37 | Instantiating formula (20) with all_0_2_2, xS, xR and discharging atoms sdtpldt0(xR, xS) = all_0_2_2, yields:
% 28.61/9.37 | (129) ? [v0] : ? [v1] : ? [v2] : (aScalar0(all_0_2_2) = v2 & aScalar0(xS) = v1 & aScalar0(xR) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 28.61/9.37 |
% 28.61/9.37 | Instantiating (127) with all_10_0_18, all_10_1_19, all_10_2_20 yields:
% 28.61/9.37 | (130) aScalar0(all_0_4_4) = all_10_0_18 & aScalar0(xP) = all_10_1_19 & aScalar0(xP) = all_10_2_20 & ( ~ (all_10_1_19 = 0) | ~ (all_10_2_20 = 0) | all_10_0_18 = 0)
% 28.61/9.37 |
% 28.61/9.37 | Applying alpha-rule on (130) yields:
% 28.61/9.37 | (131) aScalar0(all_0_4_4) = all_10_0_18
% 28.61/9.37 | (132) aScalar0(xP) = all_10_1_19
% 28.61/9.37 | (133) aScalar0(xP) = all_10_2_20
% 28.61/9.37 | (134) ~ (all_10_1_19 = 0) | ~ (all_10_2_20 = 0) | all_10_0_18 = 0
% 28.61/9.37 |
% 28.61/9.37 | Instantiating (126) with all_22_0_39, all_22_1_40, all_22_2_41, all_22_3_42, all_22_4_43, all_22_5_44, all_22_6_45, all_22_7_46, all_22_8_47 yields:
% 28.61/9.37 | (135) sdtasdt0(all_22_3_42, xP) = all_22_2_41 & sdtasdt0(xP, all_22_5_44) = all_22_4_43 & sdtasdt0(xP, xP) = all_22_1_40 & sdtpldt0(all_0_9_9, all_22_1_40) = all_22_0_39 & sdtpldt0(xP, xP) = all_22_3_42 & sdtpldt0(xP, xP) = all_22_5_44 & aScalar0(xP) = all_22_6_45 & aScalar0(xP) = all_22_7_46 & aScalar0(xP) = all_22_8_47 & ( ~ (all_22_6_45 = 0) | ~ (all_22_7_46 = 0) | ~ (all_22_8_47 = 0) | (all_22_0_39 = all_22_2_41 & all_22_4_43 = all_0_8_8))
% 28.61/9.37 |
% 28.61/9.37 | Applying alpha-rule on (135) yields:
% 28.61/9.37 | (136) aScalar0(xP) = all_22_6_45
% 28.61/9.37 | (137) sdtasdt0(xP, all_22_5_44) = all_22_4_43
% 28.61/9.37 | (138) sdtpldt0(all_0_9_9, all_22_1_40) = all_22_0_39
% 28.61/9.37 | (139) sdtasdt0(xP, xP) = all_22_1_40
% 28.61/9.37 | (140) sdtasdt0(all_22_3_42, xP) = all_22_2_41
% 28.61/9.37 | (141) aScalar0(xP) = all_22_7_46
% 28.61/9.37 | (142) aScalar0(xP) = all_22_8_47
% 28.61/9.37 | (143) sdtpldt0(xP, xP) = all_22_5_44
% 28.61/9.37 | (144) sdtpldt0(xP, xP) = all_22_3_42
% 28.61/9.37 | (145) ~ (all_22_6_45 = 0) | ~ (all_22_7_46 = 0) | ~ (all_22_8_47 = 0) | (all_22_0_39 = all_22_2_41 & all_22_4_43 = all_0_8_8)
% 28.61/9.38 |
% 28.61/9.38 | Instantiating (129) with all_26_0_51, all_26_1_52, all_26_2_53 yields:
% 28.61/9.38 | (146) aScalar0(all_0_2_2) = all_26_0_51 & aScalar0(xS) = all_26_1_52 & aScalar0(xR) = all_26_2_53 & ( ~ (all_26_1_52 = 0) | ~ (all_26_2_53 = 0) | all_26_0_51 = 0)
% 28.61/9.38 |
% 28.61/9.38 | Applying alpha-rule on (146) yields:
% 28.61/9.38 | (147) aScalar0(all_0_2_2) = all_26_0_51
% 28.61/9.38 | (148) aScalar0(xS) = all_26_1_52
% 28.61/9.38 | (149) aScalar0(xR) = all_26_2_53
% 28.61/9.38 | (150) ~ (all_26_1_52 = 0) | ~ (all_26_2_53 = 0) | all_26_0_51 = 0
% 28.61/9.38 |
% 28.61/9.38 | Instantiating (125) with all_28_0_54, all_28_1_55, all_28_2_56 yields:
% 28.61/9.38 | (151) aScalar0(all_0_7_7) = all_28_0_54 & aScalar0(xR) = all_28_1_55 & aScalar0(xR) = all_28_2_56 & ( ~ (all_28_1_55 = 0) | ~ (all_28_2_56 = 0) | all_28_0_54 = 0)
% 28.61/9.38 |
% 28.61/9.38 | Applying alpha-rule on (151) yields:
% 28.61/9.38 | (152) aScalar0(all_0_7_7) = all_28_0_54
% 28.61/9.38 | (153) aScalar0(xR) = all_28_1_55
% 28.61/9.38 | (154) aScalar0(xR) = all_28_2_56
% 28.61/9.38 | (155) ~ (all_28_1_55 = 0) | ~ (all_28_2_56 = 0) | all_28_0_54 = 0
% 28.61/9.38 |
% 28.61/9.38 | Instantiating (123) with all_30_0_57, all_30_1_58, all_30_2_59 yields:
% 28.61/9.38 | (156) aScalar0(all_0_9_9) = all_30_0_57 & aScalar0(xP) = all_30_1_58 & aScalar0(xP) = all_30_2_59 & ( ~ (all_30_1_58 = 0) | ~ (all_30_2_59 = 0) | all_30_0_57 = 0)
% 28.61/9.38 |
% 28.61/9.38 | Applying alpha-rule on (156) yields:
% 28.61/9.38 | (157) aScalar0(all_0_9_9) = all_30_0_57
% 28.61/9.38 | (158) aScalar0(xP) = all_30_1_58
% 28.61/9.38 | (159) aScalar0(xP) = all_30_2_59
% 28.61/9.38 | (160) ~ (all_30_1_58 = 0) | ~ (all_30_2_59 = 0) | all_30_0_57 = 0
% 28.61/9.38 |
% 28.61/9.38 | Instantiating (122) with all_32_0_60, all_32_1_61 yields:
% 28.61/9.38 | (161) sdtlseqdt0(sz0z00, all_0_9_9) = all_32_0_60 & aScalar0(xP) = all_32_1_61 & ( ~ (all_32_1_61 = 0) | all_32_0_60 = 0)
% 28.61/9.38 |
% 28.61/9.38 | Applying alpha-rule on (161) yields:
% 28.61/9.38 | (162) sdtlseqdt0(sz0z00, all_0_9_9) = all_32_0_60
% 28.61/9.38 | (163) aScalar0(xP) = all_32_1_61
% 28.61/9.38 | (164) ~ (all_32_1_61 = 0) | all_32_0_60 = 0
% 28.61/9.38 |
% 28.61/9.38 | Instantiating (121) with all_34_0_62, all_34_1_63, all_34_2_64 yields:
% 28.61/9.38 | (165) aScalar0(all_0_6_6) = all_34_0_62 & aScalar0(xS) = all_34_1_63 & aScalar0(xS) = all_34_2_64 & ( ~ (all_34_1_63 = 0) | ~ (all_34_2_64 = 0) | all_34_0_62 = 0)
% 28.61/9.38 |
% 28.61/9.38 | Applying alpha-rule on (165) yields:
% 28.61/9.38 | (166) aScalar0(all_0_6_6) = all_34_0_62
% 28.61/9.38 | (167) aScalar0(xS) = all_34_1_63
% 28.61/9.38 | (168) aScalar0(xS) = all_34_2_64
% 28.61/9.38 | (169) ~ (all_34_1_63 = 0) | ~ (all_34_2_64 = 0) | all_34_0_62 = 0
% 28.61/9.38 |
% 28.61/9.38 | Instantiating (119) with all_36_0_65, all_36_1_66, all_36_2_67 yields:
% 28.61/9.38 | (170) aScalar0(all_0_3_3) = all_36_0_65 & aScalar0(all_0_4_4) = all_36_1_66 & aScalar0(all_0_4_4) = all_36_2_67 & ( ~ (all_36_1_66 = 0) | ~ (all_36_2_67 = 0) | all_36_0_65 = 0)
% 28.61/9.38 |
% 28.61/9.38 | Applying alpha-rule on (170) yields:
% 28.61/9.38 | (171) aScalar0(all_0_3_3) = all_36_0_65
% 28.61/9.38 | (172) aScalar0(all_0_4_4) = all_36_1_66
% 28.61/9.38 | (173) aScalar0(all_0_4_4) = all_36_2_67
% 28.61/9.38 | (174) ~ (all_36_1_66 = 0) | ~ (all_36_2_67 = 0) | all_36_0_65 = 0
% 28.61/9.38 |
% 28.61/9.39 | Instantiating (124) with all_38_0_68, all_38_1_69 yields:
% 28.61/9.39 | (175) sdtlseqdt0(sz0z00, all_0_7_7) = all_38_0_68 & aScalar0(xR) = all_38_1_69 & ( ~ (all_38_1_69 = 0) | all_38_0_68 = 0)
% 28.61/9.39 |
% 28.61/9.39 | Applying alpha-rule on (175) yields:
% 28.61/9.39 | (176) sdtlseqdt0(sz0z00, all_0_7_7) = all_38_0_68
% 28.61/9.39 | (177) aScalar0(xR) = all_38_1_69
% 28.61/9.39 | (178) ~ (all_38_1_69 = 0) | all_38_0_68 = 0
% 28.61/9.39 |
% 28.61/9.39 | Instantiating (118) with all_40_0_70, all_40_1_71 yields:
% 28.61/9.39 | (179) sdtlseqdt0(sz0z00, all_0_3_3) = all_40_0_70 & aScalar0(all_0_4_4) = all_40_1_71 & ( ~ (all_40_1_71 = 0) | all_40_0_70 = 0)
% 28.61/9.39 |
% 28.61/9.39 | Applying alpha-rule on (179) yields:
% 28.61/9.39 | (180) sdtlseqdt0(sz0z00, all_0_3_3) = all_40_0_70
% 28.61/9.39 | (181) aScalar0(all_0_4_4) = all_40_1_71
% 28.61/9.39 | (182) ~ (all_40_1_71 = 0) | all_40_0_70 = 0
% 28.61/9.39 |
% 28.61/9.39 | Instantiating (117) with all_42_0_72, all_42_1_73, all_42_2_74 yields:
% 28.61/9.39 | (183) aScalar0(all_0_1_1) = all_42_0_72 & aScalar0(all_0_2_2) = all_42_1_73 & aScalar0(all_0_2_2) = all_42_2_74 & ( ~ (all_42_1_73 = 0) | ~ (all_42_2_74 = 0) | all_42_0_72 = 0)
% 28.61/9.39 |
% 28.61/9.39 | Applying alpha-rule on (183) yields:
% 28.61/9.39 | (184) aScalar0(all_0_1_1) = all_42_0_72
% 28.61/9.39 | (185) aScalar0(all_0_2_2) = all_42_1_73
% 28.61/9.39 | (186) aScalar0(all_0_2_2) = all_42_2_74
% 28.61/9.39 | (187) ~ (all_42_1_73 = 0) | ~ (all_42_2_74 = 0) | all_42_0_72 = 0
% 28.61/9.39 |
% 28.61/9.39 | Instantiating (114) with all_44_0_75, all_44_1_76, all_44_2_77, all_44_3_78, all_44_4_79, all_44_5_80 yields:
% 28.61/9.39 | (188) sdtlseqdt0(sz0z00, all_44_1_76) = all_44_0_75 & sdtlseqdt0(sz0z00, all_44_3_78) = all_44_2_77 & sdtasdt0(all_0_4_4, all_0_2_2) = all_44_1_76 & sdtpldt0(all_0_4_4, all_0_2_2) = all_44_3_78 & aScalar0(all_0_2_2) = all_44_4_79 & aScalar0(all_0_4_4) = all_44_5_80 & ( ~ (all_44_4_79 = 0) | ~ (all_44_5_80 = 0) | (all_44_0_75 = 0 & all_44_2_77 = 0))
% 28.61/9.39 |
% 28.61/9.39 | Applying alpha-rule on (188) yields:
% 28.61/9.39 | (189) aScalar0(all_0_2_2) = all_44_4_79
% 28.61/9.39 | (190) ~ (all_44_4_79 = 0) | ~ (all_44_5_80 = 0) | (all_44_0_75 = 0 & all_44_2_77 = 0)
% 28.61/9.39 | (191) sdtasdt0(all_0_4_4, all_0_2_2) = all_44_1_76
% 28.61/9.39 | (192) sdtlseqdt0(sz0z00, all_44_1_76) = all_44_0_75
% 28.61/9.39 | (193) sdtpldt0(all_0_4_4, all_0_2_2) = all_44_3_78
% 28.61/9.39 | (194) aScalar0(all_0_4_4) = all_44_5_80
% 28.61/9.39 | (195) sdtlseqdt0(sz0z00, all_44_3_78) = all_44_2_77
% 28.61/9.39 |
% 28.61/9.39 | Instantiating (116) with all_46_0_81, all_46_1_82 yields:
% 28.61/9.39 | (196) sdtlseqdt0(sz0z00, all_0_1_1) = all_46_0_81 & aScalar0(all_0_2_2) = all_46_1_82 & ( ~ (all_46_1_82 = 0) | all_46_0_81 = 0)
% 28.61/9.39 |
% 28.61/9.39 | Applying alpha-rule on (196) yields:
% 28.61/9.39 | (197) sdtlseqdt0(sz0z00, all_0_1_1) = all_46_0_81
% 28.61/9.39 | (198) aScalar0(all_0_2_2) = all_46_1_82
% 28.61/9.39 | (199) ~ (all_46_1_82 = 0) | all_46_0_81 = 0
% 28.61/9.39 |
% 28.61/9.39 | Instantiating (120) with all_50_0_85, all_50_1_86 yields:
% 28.61/9.39 | (200) sdtlseqdt0(sz0z00, all_0_6_6) = all_50_0_85 & aScalar0(xS) = all_50_1_86 & ( ~ (all_50_1_86 = 0) | all_50_0_85 = 0)
% 28.61/9.39 |
% 28.61/9.39 | Applying alpha-rule on (200) yields:
% 28.61/9.39 | (201) sdtlseqdt0(sz0z00, all_0_6_6) = all_50_0_85
% 28.61/9.39 | (202) aScalar0(xS) = all_50_1_86
% 28.61/9.39 | (203) ~ (all_50_1_86 = 0) | all_50_0_85 = 0
% 28.61/9.39 |
% 28.61/9.39 | Instantiating (113) with all_52_0_87, all_52_1_88, all_52_2_89, all_52_3_90, all_52_4_91, all_52_5_92 yields:
% 28.61/9.39 | (204) sdtlseqdt0(sz0z00, all_52_1_88) = all_52_0_87 & sdtlseqdt0(sz0z00, all_52_3_90) = all_52_2_89 & sdtasdt0(all_0_2_2, all_0_4_4) = all_52_1_88 & sdtpldt0(all_0_2_2, all_0_4_4) = all_52_3_90 & aScalar0(all_0_2_2) = all_52_5_92 & aScalar0(all_0_4_4) = all_52_4_91 & ( ~ (all_52_4_91 = 0) | ~ (all_52_5_92 = 0) | (all_52_0_87 = 0 & all_52_2_89 = 0))
% 28.61/9.39 |
% 28.61/9.39 | Applying alpha-rule on (204) yields:
% 28.61/9.39 | (205) sdtasdt0(all_0_2_2, all_0_4_4) = all_52_1_88
% 28.61/9.39 | (206) sdtpldt0(all_0_2_2, all_0_4_4) = all_52_3_90
% 28.61/9.39 | (207) sdtlseqdt0(sz0z00, all_52_3_90) = all_52_2_89
% 28.61/9.39 | (208) aScalar0(all_0_2_2) = all_52_5_92
% 28.61/9.39 | (209) aScalar0(all_0_4_4) = all_52_4_91
% 28.61/9.39 | (210) sdtlseqdt0(sz0z00, all_52_1_88) = all_52_0_87
% 28.61/9.39 | (211) ~ (all_52_4_91 = 0) | ~ (all_52_5_92 = 0) | (all_52_0_87 = 0 & all_52_2_89 = 0)
% 28.61/9.39 |
% 28.61/9.39 | Instantiating (115) with all_54_0_93, all_54_1_94, all_54_2_95, all_54_3_96, all_54_4_97, all_54_5_98 yields:
% 28.61/9.39 | (212) sdtlseqdt0(sz0z00, all_54_1_94) = all_54_0_93 & sdtlseqdt0(sz0z00, all_54_3_96) = all_54_2_95 & sdtasdt0(all_0_4_4, all_0_4_4) = all_54_1_94 & sdtpldt0(all_0_4_4, all_0_4_4) = all_54_3_96 & aScalar0(all_0_4_4) = all_54_4_97 & aScalar0(all_0_4_4) = all_54_5_98 & ( ~ (all_54_4_97 = 0) | ~ (all_54_5_98 = 0) | (all_54_0_93 = 0 & all_54_2_95 = 0))
% 28.61/9.39 |
% 28.61/9.39 | Applying alpha-rule on (212) yields:
% 28.61/9.39 | (213) sdtpldt0(all_0_4_4, all_0_4_4) = all_54_3_96
% 28.61/9.39 | (214) sdtasdt0(all_0_4_4, all_0_4_4) = all_54_1_94
% 28.61/9.39 | (215) sdtlseqdt0(sz0z00, all_54_1_94) = all_54_0_93
% 28.61/9.39 | (216) aScalar0(all_0_4_4) = all_54_4_97
% 28.61/9.39 | (217) sdtlseqdt0(sz0z00, all_54_3_96) = all_54_2_95
% 28.61/9.39 | (218) aScalar0(all_0_4_4) = all_54_5_98
% 28.61/9.39 | (219) ~ (all_54_4_97 = 0) | ~ (all_54_5_98 = 0) | (all_54_0_93 = 0 & all_54_2_95 = 0)
% 28.61/9.39 |
% 28.61/9.39 | Instantiating (111) with all_58_0_102, all_58_1_103, all_58_2_104, all_58_3_105, all_58_4_106, all_58_5_107 yields:
% 28.61/9.39 | (220) sdtlseqdt0(sz0z00, all_58_1_103) = all_58_0_102 & sdtlseqdt0(sz0z00, all_58_3_105) = all_58_2_104 & sdtasdt0(all_0_2_2, all_0_2_2) = all_58_1_103 & sdtpldt0(all_0_2_2, all_0_2_2) = all_58_3_105 & aScalar0(all_0_2_2) = all_58_4_106 & aScalar0(all_0_2_2) = all_58_5_107 & ( ~ (all_58_4_106 = 0) | ~ (all_58_5_107 = 0) | (all_58_0_102 = 0 & all_58_2_104 = 0))
% 28.61/9.39 |
% 28.61/9.39 | Applying alpha-rule on (220) yields:
% 28.61/9.39 | (221) sdtlseqdt0(sz0z00, all_58_1_103) = all_58_0_102
% 28.61/9.39 | (222) ~ (all_58_4_106 = 0) | ~ (all_58_5_107 = 0) | (all_58_0_102 = 0 & all_58_2_104 = 0)
% 28.61/9.39 | (223) aScalar0(all_0_2_2) = all_58_5_107
% 28.61/9.39 | (224) sdtlseqdt0(sz0z00, all_58_3_105) = all_58_2_104
% 28.61/9.39 | (225) aScalar0(all_0_2_2) = all_58_4_106
% 28.61/9.39 | (226) sdtasdt0(all_0_2_2, all_0_2_2) = all_58_1_103
% 28.61/9.39 | (227) sdtpldt0(all_0_2_2, all_0_2_2) = all_58_3_105
% 28.61/9.39 |
% 28.61/9.39 +-Applying beta-rule and splitting (128), into two cases.
% 28.61/9.39 |-Branch one:
% 28.61/9.39 | (228) all_0_0_0 = 0
% 28.61/9.39 |
% 28.61/9.39 | Equations (228) can reduce 31 to:
% 28.61/9.39 | (229) $false
% 28.61/9.39 |
% 28.61/9.39 |-The branch is then unsatisfiable
% 28.61/9.39 |-Branch two:
% 28.61/9.39 | (31) ~ (all_0_0_0 = 0)
% 28.61/9.39 | (231) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (sdtlseqdt0(xP, xS) = v5 & sdtlseqdt0(xP, xR) = v4 & aScalar0(xS) = v3 & aScalar0(xP) = v2 & aScalar0(xP) = v0 & aScalar0(xR) = v1 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 29.01/9.39 |
% 29.01/9.39 | Instantiating (231) with all_94_0_145, all_94_1_146, all_94_2_147, all_94_3_148, all_94_4_149, all_94_5_150 yields:
% 29.01/9.39 | (232) sdtlseqdt0(xP, xS) = all_94_0_145 & sdtlseqdt0(xP, xR) = all_94_1_146 & aScalar0(xS) = all_94_2_147 & aScalar0(xP) = all_94_3_148 & aScalar0(xP) = all_94_5_150 & aScalar0(xR) = all_94_4_149 & ( ~ (all_94_0_145 = 0) | ~ (all_94_1_146 = 0) | ~ (all_94_2_147 = 0) | ~ (all_94_3_148 = 0) | ~ (all_94_4_149 = 0) | ~ (all_94_5_150 = 0))
% 29.01/9.39 |
% 29.01/9.39 | Applying alpha-rule on (232) yields:
% 29.01/9.39 | (233) aScalar0(xP) = all_94_3_148
% 29.01/9.39 | (234) aScalar0(xR) = all_94_4_149
% 29.01/9.39 | (235) aScalar0(xP) = all_94_5_150
% 29.01/9.39 | (236) aScalar0(xS) = all_94_2_147
% 29.01/9.39 | (237) sdtlseqdt0(xP, xR) = all_94_1_146
% 29.01/9.39 | (238) ~ (all_94_0_145 = 0) | ~ (all_94_1_146 = 0) | ~ (all_94_2_147 = 0) | ~ (all_94_3_148 = 0) | ~ (all_94_4_149 = 0) | ~ (all_94_5_150 = 0)
% 29.01/9.39 | (239) sdtlseqdt0(xP, xS) = all_94_0_145
% 29.01/9.39 |
% 29.01/9.39 | Instantiating formula (90) with all_0_2_2, all_0_2_2, all_58_1_103, all_0_1_1 and discharging atoms sdtasdt0(all_0_2_2, all_0_2_2) = all_58_1_103, sdtasdt0(all_0_2_2, all_0_2_2) = all_0_1_1, yields:
% 29.01/9.39 | (240) all_58_1_103 = all_0_1_1
% 29.01/9.39 |
% 29.01/9.39 | Instantiating formula (90) with all_0_4_4, all_0_4_4, all_54_1_94, all_0_3_3 and discharging atoms sdtasdt0(all_0_4_4, all_0_4_4) = all_54_1_94, sdtasdt0(all_0_4_4, all_0_4_4) = all_0_3_3, yields:
% 29.01/9.39 | (241) all_54_1_94 = all_0_3_3
% 29.01/9.39 |
% 29.01/9.39 | Instantiating formula (54) with all_0_2_2, all_58_5_107, all_58_4_106 and discharging atoms aScalar0(all_0_2_2) = all_58_4_106, aScalar0(all_0_2_2) = all_58_5_107, yields:
% 29.01/9.39 | (242) all_58_4_106 = all_58_5_107
% 29.01/9.39 |
% 29.01/9.39 | Instantiating formula (54) with all_0_2_2, all_52_5_92, all_58_5_107 and discharging atoms aScalar0(all_0_2_2) = all_58_5_107, aScalar0(all_0_2_2) = all_52_5_92, yields:
% 29.01/9.39 | (243) all_58_5_107 = all_52_5_92
% 29.01/9.39 |
% 29.01/9.39 | Instantiating formula (54) with all_0_2_2, all_46_1_82, all_58_5_107 and discharging atoms aScalar0(all_0_2_2) = all_58_5_107, aScalar0(all_0_2_2) = all_46_1_82, yields:
% 29.01/9.39 | (244) all_58_5_107 = all_46_1_82
% 29.01/9.39 |
% 29.01/9.39 | Instantiating formula (54) with all_0_2_2, all_44_4_79, all_58_4_106 and discharging atoms aScalar0(all_0_2_2) = all_58_4_106, aScalar0(all_0_2_2) = all_44_4_79, yields:
% 29.01/9.40 | (245) all_58_4_106 = all_44_4_79
% 29.01/9.40 |
% 29.01/9.40 | Instantiating formula (54) with all_0_2_2, all_42_1_73, all_46_1_82 and discharging atoms aScalar0(all_0_2_2) = all_46_1_82, aScalar0(all_0_2_2) = all_42_1_73, yields:
% 29.01/9.40 | (246) all_46_1_82 = all_42_1_73
% 29.01/9.40 |
% 29.01/9.40 | Instantiating formula (54) with all_0_2_2, all_42_2_74, all_46_1_82 and discharging atoms aScalar0(all_0_2_2) = all_46_1_82, aScalar0(all_0_2_2) = all_42_2_74, yields:
% 29.01/9.40 | (247) all_46_1_82 = all_42_2_74
% 29.01/9.40 |
% 29.01/9.40 | Instantiating formula (54) with all_0_2_2, all_26_0_51, all_42_1_73 and discharging atoms aScalar0(all_0_2_2) = all_42_1_73, aScalar0(all_0_2_2) = all_26_0_51, yields:
% 29.01/9.40 | (248) all_42_1_73 = all_26_0_51
% 29.01/9.40 |
% 29.01/9.40 | Instantiating formula (54) with all_0_4_4, all_52_4_91, all_54_4_97 and discharging atoms aScalar0(all_0_4_4) = all_54_4_97, aScalar0(all_0_4_4) = all_52_4_91, yields:
% 29.01/9.40 | (249) all_54_4_97 = all_52_4_91
% 29.01/9.40 |
% 29.01/9.40 | Instantiating formula (54) with all_0_4_4, all_44_5_80, all_54_4_97 and discharging atoms aScalar0(all_0_4_4) = all_54_4_97, aScalar0(all_0_4_4) = all_44_5_80, yields:
% 29.01/9.40 | (250) all_54_4_97 = all_44_5_80
% 29.01/9.40 |
% 29.01/9.40 | Instantiating formula (54) with all_0_4_4, all_40_1_71, all_54_4_97 and discharging atoms aScalar0(all_0_4_4) = all_54_4_97, aScalar0(all_0_4_4) = all_40_1_71, yields:
% 29.01/9.40 | (251) all_54_4_97 = all_40_1_71
% 29.01/9.40 |
% 29.01/9.40 | Instantiating formula (54) with all_0_4_4, all_40_1_71, all_54_5_98 and discharging atoms aScalar0(all_0_4_4) = all_54_5_98, aScalar0(all_0_4_4) = all_40_1_71, yields:
% 29.01/9.40 | (252) all_54_5_98 = all_40_1_71
% 29.01/9.40 |
% 29.01/9.40 | Instantiating formula (54) with all_0_4_4, all_36_1_66, all_54_4_97 and discharging atoms aScalar0(all_0_4_4) = all_54_4_97, aScalar0(all_0_4_4) = all_36_1_66, yields:
% 29.01/9.40 | (253) all_54_4_97 = all_36_1_66
% 29.01/9.40 |
% 29.01/9.40 | Instantiating formula (54) with all_0_4_4, all_36_2_67, all_54_4_97 and discharging atoms aScalar0(all_0_4_4) = all_54_4_97, aScalar0(all_0_4_4) = all_36_2_67, yields:
% 29.01/9.40 | (254) all_54_4_97 = all_36_2_67
% 29.01/9.40 |
% 29.01/9.40 | Instantiating formula (54) with all_0_4_4, all_10_0_18, all_54_5_98 and discharging atoms aScalar0(all_0_4_4) = all_54_5_98, aScalar0(all_0_4_4) = all_10_0_18, yields:
% 29.01/9.40 | (255) all_54_5_98 = all_10_0_18
% 29.01/9.40 |
% 29.01/9.40 | Instantiating formula (54) with xS, all_50_1_86, all_94_2_147 and discharging atoms aScalar0(xS) = all_94_2_147, aScalar0(xS) = all_50_1_86, yields:
% 29.01/9.40 | (256) all_94_2_147 = all_50_1_86
% 29.01/9.40 |
% 29.01/9.40 | Instantiating formula (54) with xS, all_34_1_63, 0 and discharging atoms aScalar0(xS) = all_34_1_63, aScalar0(xS) = 0, yields:
% 29.01/9.40 | (257) all_34_1_63 = 0
% 29.01/9.40 |
% 29.01/9.40 | Instantiating formula (54) with xS, all_34_1_63, all_94_2_147 and discharging atoms aScalar0(xS) = all_94_2_147, aScalar0(xS) = all_34_1_63, yields:
% 29.01/9.40 | (258) all_94_2_147 = all_34_1_63
% 29.01/9.40 |
% 29.01/9.40 | Instantiating formula (54) with xS, all_34_2_64, all_94_2_147 and discharging atoms aScalar0(xS) = all_94_2_147, aScalar0(xS) = all_34_2_64, yields:
% 29.01/9.40 | (259) all_94_2_147 = all_34_2_64
% 29.01/9.40 |
% 29.01/9.40 | Instantiating formula (54) with xS, all_26_1_52, all_50_1_86 and discharging atoms aScalar0(xS) = all_50_1_86, aScalar0(xS) = all_26_1_52, yields:
% 29.01/9.40 | (260) all_50_1_86 = all_26_1_52
% 29.01/9.40 |
% 29.01/9.40 | Instantiating formula (54) with xP, all_94_5_150, 0 and discharging atoms aScalar0(xP) = all_94_5_150, aScalar0(xP) = 0, yields:
% 29.01/9.40 | (261) all_94_5_150 = 0
% 29.01/9.40 |
% 29.01/9.40 | Instantiating formula (54) with xP, all_32_1_61, all_94_3_148 and discharging atoms aScalar0(xP) = all_94_3_148, aScalar0(xP) = all_32_1_61, yields:
% 29.01/9.40 | (262) all_94_3_148 = all_32_1_61
% 29.01/9.40 |
% 29.01/9.40 | Instantiating formula (54) with xP, all_30_1_58, all_94_3_148 and discharging atoms aScalar0(xP) = all_94_3_148, aScalar0(xP) = all_30_1_58, yields:
% 29.01/9.40 | (263) all_94_3_148 = all_30_1_58
% 29.01/9.40 |
% 29.01/9.40 | Instantiating formula (54) with xP, all_30_2_59, all_94_3_148 and discharging atoms aScalar0(xP) = all_94_3_148, aScalar0(xP) = all_30_2_59, yields:
% 29.01/9.40 | (264) all_94_3_148 = all_30_2_59
% 29.01/9.40 |
% 29.01/9.40 | Instantiating formula (54) with xP, all_22_6_45, all_94_5_150 and discharging atoms aScalar0(xP) = all_94_5_150, aScalar0(xP) = all_22_6_45, yields:
% 29.01/9.40 | (265) all_94_5_150 = all_22_6_45
% 29.01/9.40 |
% 29.01/9.40 | Instantiating formula (54) with xP, all_22_6_45, all_30_1_58 and discharging atoms aScalar0(xP) = all_30_1_58, aScalar0(xP) = all_22_6_45, yields:
% 29.01/9.40 | (266) all_30_1_58 = all_22_6_45
% 29.01/9.40 |
% 29.01/9.40 | Instantiating formula (54) with xP, all_22_7_46, all_30_1_58 and discharging atoms aScalar0(xP) = all_30_1_58, aScalar0(xP) = all_22_7_46, yields:
% 29.01/9.40 | (267) all_30_1_58 = all_22_7_46
% 29.01/9.40 |
% 29.01/9.40 | Instantiating formula (54) with xP, all_22_8_47, all_22_6_45 and discharging atoms aScalar0(xP) = all_22_6_45, aScalar0(xP) = all_22_8_47, yields:
% 29.01/9.40 | (268) all_22_6_45 = all_22_8_47
% 29.01/9.40 |
% 29.01/9.40 | Instantiating formula (54) with xP, all_10_1_19, all_22_6_45 and discharging atoms aScalar0(xP) = all_22_6_45, aScalar0(xP) = all_10_1_19, yields:
% 29.01/9.40 | (269) all_22_6_45 = all_10_1_19
% 29.01/9.40 |
% 29.01/9.40 | Instantiating formula (54) with xP, all_10_2_20, all_10_1_19 and discharging atoms aScalar0(xP) = all_10_1_19, aScalar0(xP) = all_10_2_20, yields:
% 29.01/9.40 | (270) all_10_1_19 = all_10_2_20
% 29.01/9.40 |
% 29.01/9.40 | Instantiating formula (54) with xR, all_94_4_149, 0 and discharging atoms aScalar0(xR) = all_94_4_149, aScalar0(xR) = 0, yields:
% 29.01/9.40 | (271) all_94_4_149 = 0
% 29.01/9.40 |
% 29.01/9.40 | Instantiating formula (54) with xR, all_38_1_69, all_94_4_149 and discharging atoms aScalar0(xR) = all_94_4_149, aScalar0(xR) = all_38_1_69, yields:
% 29.01/9.40 | (272) all_94_4_149 = all_38_1_69
% 29.01/9.40 |
% 29.01/9.40 | Instantiating formula (54) with xR, all_28_1_55, all_38_1_69 and discharging atoms aScalar0(xR) = all_38_1_69, aScalar0(xR) = all_28_1_55, yields:
% 29.01/9.40 | (273) all_38_1_69 = all_28_1_55
% 29.01/9.40 |
% 29.01/9.40 | Instantiating formula (54) with xR, all_28_2_56, all_28_1_55 and discharging atoms aScalar0(xR) = all_28_1_55, aScalar0(xR) = all_28_2_56, yields:
% 29.01/9.40 | (274) all_28_1_55 = all_28_2_56
% 29.01/9.40 |
% 29.01/9.40 | Instantiating formula (54) with xR, all_26_2_53, all_28_2_56 and discharging atoms aScalar0(xR) = all_28_2_56, aScalar0(xR) = all_26_2_53, yields:
% 29.01/9.40 | (275) all_28_2_56 = all_26_2_53
% 29.01/9.40 |
% 29.01/9.40 | Combining equations (256,259) yields a new equation:
% 29.01/9.40 | (276) all_50_1_86 = all_34_2_64
% 29.01/9.40 |
% 29.01/9.40 | Simplifying 276 yields:
% 29.01/9.40 | (277) all_50_1_86 = all_34_2_64
% 29.01/9.40 |
% 29.01/9.40 | Combining equations (258,259) yields a new equation:
% 29.01/9.40 | (278) all_34_1_63 = all_34_2_64
% 29.01/9.40 |
% 29.01/9.40 | Simplifying 278 yields:
% 29.01/9.40 | (279) all_34_1_63 = all_34_2_64
% 29.01/9.40 |
% 29.01/9.41 | Combining equations (264,262) yields a new equation:
% 29.01/9.41 | (280) all_32_1_61 = all_30_2_59
% 29.01/9.41 |
% 29.01/9.41 | Combining equations (263,262) yields a new equation:
% 29.01/9.41 | (281) all_32_1_61 = all_30_1_58
% 29.01/9.41 |
% 29.01/9.41 | Combining equations (272,271) yields a new equation:
% 29.01/9.41 | (282) all_38_1_69 = 0
% 29.01/9.41 |
% 29.01/9.41 | Simplifying 282 yields:
% 29.01/9.41 | (283) all_38_1_69 = 0
% 29.01/9.41 |
% 29.01/9.41 | Combining equations (265,261) yields a new equation:
% 29.01/9.41 | (284) all_22_6_45 = 0
% 29.01/9.41 |
% 29.01/9.41 | Simplifying 284 yields:
% 29.01/9.41 | (285) all_22_6_45 = 0
% 29.01/9.41 |
% 29.01/9.41 | Combining equations (242,245) yields a new equation:
% 29.01/9.41 | (286) all_58_5_107 = all_44_4_79
% 29.01/9.41 |
% 29.01/9.41 | Simplifying 286 yields:
% 29.01/9.41 | (287) all_58_5_107 = all_44_4_79
% 29.01/9.41 |
% 29.01/9.41 | Combining equations (244,243) yields a new equation:
% 29.01/9.41 | (288) all_52_5_92 = all_46_1_82
% 29.01/9.41 |
% 29.01/9.41 | Combining equations (287,243) yields a new equation:
% 29.01/9.41 | (289) all_52_5_92 = all_44_4_79
% 29.01/9.41 |
% 29.01/9.41 | Combining equations (254,249) yields a new equation:
% 29.01/9.41 | (290) all_52_4_91 = all_36_2_67
% 29.01/9.41 |
% 29.01/9.41 | Combining equations (253,249) yields a new equation:
% 29.01/9.41 | (291) all_52_4_91 = all_36_1_66
% 29.01/9.41 |
% 29.01/9.41 | Combining equations (251,249) yields a new equation:
% 29.01/9.41 | (292) all_52_4_91 = all_40_1_71
% 29.01/9.41 |
% 29.01/9.41 | Combining equations (250,249) yields a new equation:
% 29.01/9.41 | (293) all_52_4_91 = all_44_5_80
% 29.01/9.41 |
% 29.01/9.41 | Combining equations (252,255) yields a new equation:
% 29.01/9.41 | (294) all_40_1_71 = all_10_0_18
% 29.01/9.41 |
% 29.01/9.41 | Simplifying 294 yields:
% 29.01/9.41 | (295) all_40_1_71 = all_10_0_18
% 29.01/9.41 |
% 29.01/9.41 | Combining equations (290,293) yields a new equation:
% 29.01/9.41 | (296) all_44_5_80 = all_36_2_67
% 29.01/9.41 |
% 29.01/9.41 | Combining equations (291,293) yields a new equation:
% 29.01/9.41 | (297) all_44_5_80 = all_36_1_66
% 29.01/9.41 |
% 29.01/9.41 | Combining equations (292,293) yields a new equation:
% 29.01/9.41 | (298) all_44_5_80 = all_40_1_71
% 29.01/9.41 |
% 29.01/9.41 | Combining equations (288,289) yields a new equation:
% 29.01/9.41 | (299) all_46_1_82 = all_44_4_79
% 29.01/9.41 |
% 29.01/9.41 | Simplifying 299 yields:
% 29.01/9.41 | (300) all_46_1_82 = all_44_4_79
% 29.01/9.41 |
% 29.01/9.41 | Combining equations (277,260) yields a new equation:
% 29.01/9.41 | (301) all_34_2_64 = all_26_1_52
% 29.01/9.41 |
% 29.01/9.41 | Simplifying 301 yields:
% 29.01/9.41 | (302) all_34_2_64 = all_26_1_52
% 29.01/9.41 |
% 29.01/9.41 | Combining equations (246,300) yields a new equation:
% 29.01/9.41 | (303) all_44_4_79 = all_42_1_73
% 29.01/9.41 |
% 29.01/9.41 | Combining equations (247,300) yields a new equation:
% 29.01/9.41 | (304) all_44_4_79 = all_42_2_74
% 29.01/9.41 |
% 29.01/9.41 | Combining equations (303,304) yields a new equation:
% 29.01/9.41 | (305) all_42_1_73 = all_42_2_74
% 29.01/9.41 |
% 29.01/9.41 | Simplifying 305 yields:
% 29.01/9.41 | (306) all_42_1_73 = all_42_2_74
% 29.01/9.41 |
% 29.01/9.41 | Combining equations (296,297) yields a new equation:
% 29.01/9.41 | (307) all_36_1_66 = all_36_2_67
% 29.01/9.41 |
% 29.01/9.41 | Combining equations (298,297) yields a new equation:
% 29.01/9.41 | (308) all_40_1_71 = all_36_1_66
% 29.01/9.41 |
% 29.01/9.41 | Simplifying 308 yields:
% 29.01/9.41 | (309) all_40_1_71 = all_36_1_66
% 29.01/9.41 |
% 29.01/9.41 | Combining equations (248,306) yields a new equation:
% 29.01/9.41 | (310) all_42_2_74 = all_26_0_51
% 29.01/9.41 |
% 29.01/9.41 | Combining equations (309,295) yields a new equation:
% 29.01/9.41 | (311) all_36_1_66 = all_10_0_18
% 29.01/9.41 |
% 29.01/9.41 | Simplifying 311 yields:
% 29.01/9.41 | (312) all_36_1_66 = all_10_0_18
% 29.01/9.41 |
% 29.01/9.41 | Combining equations (273,283) yields a new equation:
% 29.01/9.41 | (313) all_28_1_55 = 0
% 29.01/9.41 |
% 29.01/9.41 | Simplifying 313 yields:
% 29.01/9.41 | (314) all_28_1_55 = 0
% 29.01/9.41 |
% 29.01/9.41 | Combining equations (307,312) yields a new equation:
% 29.01/9.41 | (315) all_36_2_67 = all_10_0_18
% 29.01/9.41 |
% 29.01/9.41 | Simplifying 315 yields:
% 29.01/9.41 | (316) all_36_2_67 = all_10_0_18
% 29.01/9.41 |
% 29.01/9.41 | Combining equations (279,257) yields a new equation:
% 29.01/9.41 | (317) all_34_2_64 = 0
% 29.01/9.41 |
% 29.01/9.41 | Simplifying 317 yields:
% 29.01/9.41 | (318) all_34_2_64 = 0
% 29.01/9.41 |
% 29.01/9.41 | Combining equations (318,302) yields a new equation:
% 29.01/9.41 | (319) all_26_1_52 = 0
% 29.01/9.41 |
% 29.01/9.41 | Combining equations (281,280) yields a new equation:
% 29.01/9.41 | (320) all_30_1_58 = all_30_2_59
% 29.01/9.41 |
% 29.01/9.41 | Simplifying 320 yields:
% 29.01/9.41 | (321) all_30_1_58 = all_30_2_59
% 29.01/9.41 |
% 29.01/9.41 | Combining equations (266,321) yields a new equation:
% 29.01/9.41 | (322) all_30_2_59 = all_22_6_45
% 29.01/9.41 |
% 29.01/9.41 | Combining equations (267,321) yields a new equation:
% 29.01/9.41 | (323) all_30_2_59 = all_22_7_46
% 29.01/9.41 |
% 29.01/9.41 | Combining equations (322,323) yields a new equation:
% 29.01/9.41 | (324) all_22_6_45 = all_22_7_46
% 29.01/9.41 |
% 29.01/9.41 | Simplifying 324 yields:
% 29.01/9.41 | (325) all_22_6_45 = all_22_7_46
% 29.01/9.41 |
% 29.01/9.41 | Combining equations (274,314) yields a new equation:
% 29.01/9.41 | (326) all_28_2_56 = 0
% 29.01/9.41 |
% 29.01/9.41 | Simplifying 326 yields:
% 29.01/9.41 | (327) all_28_2_56 = 0
% 29.01/9.41 |
% 29.01/9.41 | Combining equations (275,327) yields a new equation:
% 29.01/9.41 | (328) all_26_2_53 = 0
% 29.01/9.41 |
% 29.01/9.41 | Simplifying 328 yields:
% 29.01/9.41 | (329) all_26_2_53 = 0
% 29.01/9.41 |
% 29.01/9.41 | Combining equations (269,325) yields a new equation:
% 29.01/9.41 | (330) all_22_7_46 = all_10_1_19
% 29.01/9.41 |
% 29.01/9.41 | Combining equations (268,325) yields a new equation:
% 29.01/9.41 | (331) all_22_7_46 = all_22_8_47
% 29.01/9.41 |
% 29.01/9.41 | Combining equations (285,325) yields a new equation:
% 29.01/9.41 | (332) all_22_7_46 = 0
% 29.01/9.41 |
% 29.01/9.41 | Combining equations (332,331) yields a new equation:
% 29.01/9.41 | (333) all_22_8_47 = 0
% 29.01/9.41 |
% 29.01/9.41 | Combining equations (330,331) yields a new equation:
% 29.01/9.41 | (334) all_22_8_47 = all_10_1_19
% 29.01/9.41 |
% 29.01/9.41 | Combining equations (334,333) yields a new equation:
% 29.01/9.41 | (335) all_10_1_19 = 0
% 29.01/9.41 |
% 29.01/9.41 | Simplifying 335 yields:
% 29.01/9.41 | (336) all_10_1_19 = 0
% 29.01/9.41 |
% 29.01/9.41 | Combining equations (270,336) yields a new equation:
% 29.01/9.41 | (337) all_10_2_20 = 0
% 29.01/9.41 |
% 29.01/9.41 | Simplifying 337 yields:
% 29.01/9.42 | (338) all_10_2_20 = 0
% 29.01/9.42 |
% 29.01/9.42 | Combining equations (310,306) yields a new equation:
% 29.01/9.42 | (248) all_42_1_73 = all_26_0_51
% 29.01/9.42 |
% 29.01/9.42 | From (240) and (226) follows:
% 29.01/9.42 | (72) sdtasdt0(all_0_2_2, all_0_2_2) = all_0_1_1
% 29.01/9.42 |
% 29.01/9.42 | From (241) and (214) follows:
% 29.01/9.42 | (22) sdtasdt0(all_0_4_4, all_0_4_4) = all_0_3_3
% 29.01/9.42 |
% 29.01/9.42 | From (310) and (186) follows:
% 29.01/9.42 | (147) aScalar0(all_0_2_2) = all_26_0_51
% 29.01/9.42 |
% 29.01/9.42 | From (316) and (173) follows:
% 29.01/9.42 | (131) aScalar0(all_0_4_4) = all_10_0_18
% 29.01/9.42 |
% 29.01/9.42 +-Applying beta-rule and splitting (134), into two cases.
% 29.01/9.42 |-Branch one:
% 29.01/9.42 | (344) ~ (all_10_1_19 = 0)
% 29.01/9.42 |
% 29.01/9.42 | Equations (336) can reduce 344 to:
% 29.01/9.42 | (229) $false
% 29.01/9.42 |
% 29.01/9.42 |-The branch is then unsatisfiable
% 29.01/9.42 |-Branch two:
% 29.01/9.42 | (336) all_10_1_19 = 0
% 29.01/9.42 | (347) ~ (all_10_2_20 = 0) | all_10_0_18 = 0
% 29.01/9.42 |
% 29.01/9.42 +-Applying beta-rule and splitting (347), into two cases.
% 29.01/9.42 |-Branch one:
% 29.01/9.42 | (348) ~ (all_10_2_20 = 0)
% 29.01/9.42 |
% 29.01/9.42 | Equations (338) can reduce 348 to:
% 29.01/9.42 | (229) $false
% 29.01/9.42 |
% 29.01/9.42 |-The branch is then unsatisfiable
% 29.01/9.42 |-Branch two:
% 29.01/9.42 | (338) all_10_2_20 = 0
% 29.01/9.42 | (351) all_10_0_18 = 0
% 29.01/9.42 |
% 29.01/9.42 | Combining equations (351,316) yields a new equation:
% 29.01/9.42 | (352) all_36_2_67 = 0
% 29.01/9.42 |
% 29.01/9.42 | Combining equations (351,312) yields a new equation:
% 29.01/9.42 | (353) all_36_1_66 = 0
% 29.01/9.42 |
% 29.01/9.42 | From (351) and (131) follows:
% 29.01/9.42 | (354) aScalar0(all_0_4_4) = 0
% 29.01/9.42 |
% 29.01/9.42 +-Applying beta-rule and splitting (174), into two cases.
% 29.01/9.42 |-Branch one:
% 29.01/9.42 | (355) ~ (all_36_1_66 = 0)
% 29.01/9.42 |
% 29.01/9.42 | Equations (353) can reduce 355 to:
% 29.01/9.42 | (229) $false
% 29.01/9.42 |
% 29.01/9.42 |-The branch is then unsatisfiable
% 29.01/9.42 |-Branch two:
% 29.01/9.42 | (353) all_36_1_66 = 0
% 29.01/9.42 | (358) ~ (all_36_2_67 = 0) | all_36_0_65 = 0
% 29.01/9.42 |
% 29.01/9.42 +-Applying beta-rule and splitting (150), into two cases.
% 29.01/9.42 |-Branch one:
% 29.01/9.42 | (359) ~ (all_26_1_52 = 0)
% 29.01/9.42 |
% 29.01/9.42 | Equations (319) can reduce 359 to:
% 29.01/9.42 | (229) $false
% 29.01/9.42 |
% 29.01/9.42 |-The branch is then unsatisfiable
% 29.01/9.42 |-Branch two:
% 29.01/9.42 | (319) all_26_1_52 = 0
% 29.01/9.42 | (362) ~ (all_26_2_53 = 0) | all_26_0_51 = 0
% 29.01/9.42 |
% 29.01/9.42 +-Applying beta-rule and splitting (362), into two cases.
% 29.01/9.42 |-Branch one:
% 29.01/9.42 | (363) ~ (all_26_2_53 = 0)
% 29.01/9.42 |
% 29.01/9.42 | Equations (329) can reduce 363 to:
% 29.01/9.42 | (229) $false
% 29.01/9.42 |
% 29.01/9.42 |-The branch is then unsatisfiable
% 29.01/9.42 |-Branch two:
% 29.01/9.42 | (329) all_26_2_53 = 0
% 29.01/9.42 | (366) all_26_0_51 = 0
% 29.01/9.42 |
% 29.01/9.42 | Combining equations (366,310) yields a new equation:
% 29.01/9.42 | (367) all_42_2_74 = 0
% 29.01/9.42 |
% 29.01/9.42 | Combining equations (366,248) yields a new equation:
% 29.01/9.42 | (368) all_42_1_73 = 0
% 29.01/9.42 |
% 29.01/9.42 | From (366) and (147) follows:
% 29.01/9.42 | (369) aScalar0(all_0_2_2) = 0
% 29.01/9.42 |
% 29.01/9.42 +-Applying beta-rule and splitting (112), into two cases.
% 29.01/9.42 |-Branch one:
% 29.01/9.42 | (370) all_0_2_2 = all_0_4_4
% 29.01/9.42 |
% 29.01/9.42 | Equations (370) can reduce 74 to:
% 29.01/9.42 | (229) $false
% 29.01/9.42 |
% 29.01/9.42 |-The branch is then unsatisfiable
% 29.01/9.42 |-Branch two:
% 29.01/9.42 | (74) ~ (all_0_2_2 = all_0_4_4)
% 29.01/9.42 | (373) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (sdtasdt0(all_0_2_2, all_0_2_2) = v3 & sdtasdt0(all_0_4_4, all_0_4_4) = v2 & aScalar0(all_0_2_2) = v1 & aScalar0(all_0_4_4) = v0 & ( ~ (v3 = v2) | ~ (v1 = 0) | ~ (v0 = 0)))
% 29.01/9.42 |
% 29.01/9.42 | Instantiating (373) with all_298_0_157, all_298_1_158, all_298_2_159, all_298_3_160 yields:
% 29.01/9.42 | (374) sdtasdt0(all_0_2_2, all_0_2_2) = all_298_0_157 & sdtasdt0(all_0_4_4, all_0_4_4) = all_298_1_158 & aScalar0(all_0_2_2) = all_298_2_159 & aScalar0(all_0_4_4) = all_298_3_160 & ( ~ (all_298_0_157 = all_298_1_158) | ~ (all_298_2_159 = 0) | ~ (all_298_3_160 = 0))
% 29.01/9.42 |
% 29.01/9.42 | Applying alpha-rule on (374) yields:
% 29.01/9.42 | (375) sdtasdt0(all_0_2_2, all_0_2_2) = all_298_0_157
% 29.01/9.42 | (376) aScalar0(all_0_2_2) = all_298_2_159
% 29.01/9.42 | (377) sdtasdt0(all_0_4_4, all_0_4_4) = all_298_1_158
% 29.01/9.42 | (378) aScalar0(all_0_4_4) = all_298_3_160
% 29.01/9.42 | (379) ~ (all_298_0_157 = all_298_1_158) | ~ (all_298_2_159 = 0) | ~ (all_298_3_160 = 0)
% 29.01/9.42 |
% 29.01/9.42 +-Applying beta-rule and splitting (187), into two cases.
% 29.01/9.42 |-Branch one:
% 29.01/9.42 | (380) ~ (all_42_1_73 = 0)
% 29.01/9.42 |
% 29.01/9.42 | Equations (368) can reduce 380 to:
% 29.01/9.42 | (229) $false
% 29.01/9.42 |
% 29.01/9.42 |-The branch is then unsatisfiable
% 29.01/9.42 |-Branch two:
% 29.01/9.42 | (368) all_42_1_73 = 0
% 29.01/9.42 | (383) ~ (all_42_2_74 = 0) | all_42_0_72 = 0
% 29.01/9.42 |
% 29.01/9.42 +-Applying beta-rule and splitting (358), into two cases.
% 29.01/9.42 |-Branch one:
% 29.01/9.42 | (384) ~ (all_36_2_67 = 0)
% 29.01/9.42 |
% 29.01/9.42 | Equations (352) can reduce 384 to:
% 29.01/9.42 | (229) $false
% 29.01/9.42 |
% 29.01/9.42 |-The branch is then unsatisfiable
% 29.01/9.42 |-Branch two:
% 29.01/9.42 | (352) all_36_2_67 = 0
% 29.01/9.42 | (387) all_36_0_65 = 0
% 29.01/9.42 |
% 29.01/9.42 | From (387) and (171) follows:
% 29.01/9.42 | (388) aScalar0(all_0_3_3) = 0
% 29.01/9.42 |
% 29.01/9.42 +-Applying beta-rule and splitting (383), into two cases.
% 29.01/9.42 |-Branch one:
% 29.01/9.42 | (389) ~ (all_42_2_74 = 0)
% 29.01/9.42 |
% 29.01/9.42 | Equations (367) can reduce 389 to:
% 29.01/9.42 | (229) $false
% 29.01/9.42 |
% 29.01/9.42 |-The branch is then unsatisfiable
% 29.01/9.42 |-Branch two:
% 29.01/9.42 | (367) all_42_2_74 = 0
% 29.01/9.42 | (392) all_42_0_72 = 0
% 29.01/9.42 |
% 29.01/9.42 | From (392) and (184) follows:
% 29.01/9.42 | (393) aScalar0(all_0_1_1) = 0
% 29.01/9.42 |
% 29.01/9.42 +-Applying beta-rule and splitting (110), into two cases.
% 29.01/9.42 |-Branch one:
% 29.01/9.42 | (394) all_0_1_1 = all_0_3_3
% 29.01/9.42 |
% 29.01/9.42 | From (394) and (72) follows:
% 29.01/9.42 | (395) sdtasdt0(all_0_2_2, all_0_2_2) = all_0_3_3
% 29.01/9.42 |
% 29.01/9.42 | Instantiating formula (90) with all_0_2_2, all_0_2_2, all_0_3_3, all_298_0_157 and discharging atoms sdtasdt0(all_0_2_2, all_0_2_2) = all_298_0_157, sdtasdt0(all_0_2_2, all_0_2_2) = all_0_3_3, yields:
% 29.01/9.42 | (396) all_298_0_157 = all_0_3_3
% 29.01/9.42 |
% 29.01/9.42 | Instantiating formula (90) with all_0_4_4, all_0_4_4, all_298_1_158, all_0_3_3 and discharging atoms sdtasdt0(all_0_4_4, all_0_4_4) = all_298_1_158, sdtasdt0(all_0_4_4, all_0_4_4) = all_0_3_3, yields:
% 29.01/9.42 | (397) all_298_1_158 = all_0_3_3
% 29.01/9.42 |
% 29.01/9.42 | Instantiating formula (54) with all_0_2_2, 0, all_298_2_159 and discharging atoms aScalar0(all_0_2_2) = all_298_2_159, aScalar0(all_0_2_2) = 0, yields:
% 29.01/9.42 | (398) all_298_2_159 = 0
% 29.01/9.42 |
% 29.01/9.42 | Instantiating formula (54) with all_0_4_4, all_298_3_160, 0 and discharging atoms aScalar0(all_0_4_4) = all_298_3_160, aScalar0(all_0_4_4) = 0, yields:
% 29.01/9.42 | (399) all_298_3_160 = 0
% 29.01/9.42 |
% 29.01/9.42 +-Applying beta-rule and splitting (379), into two cases.
% 29.01/9.42 |-Branch one:
% 29.01/9.42 | (400) ~ (all_298_2_159 = 0)
% 29.01/9.42 |
% 29.01/9.42 | Equations (398) can reduce 400 to:
% 29.01/9.42 | (229) $false
% 29.01/9.42 |
% 29.01/9.42 |-The branch is then unsatisfiable
% 29.01/9.42 |-Branch two:
% 29.01/9.42 | (398) all_298_2_159 = 0
% 29.01/9.42 | (403) ~ (all_298_0_157 = all_298_1_158) | ~ (all_298_3_160 = 0)
% 29.01/9.42 |
% 29.01/9.42 +-Applying beta-rule and splitting (403), into two cases.
% 29.01/9.42 |-Branch one:
% 29.01/9.42 | (404) ~ (all_298_3_160 = 0)
% 29.01/9.42 |
% 29.01/9.42 | Equations (399) can reduce 404 to:
% 29.01/9.42 | (229) $false
% 29.01/9.42 |
% 29.01/9.42 |-The branch is then unsatisfiable
% 29.01/9.42 |-Branch two:
% 29.01/9.42 | (399) all_298_3_160 = 0
% 29.01/9.42 | (407) ~ (all_298_0_157 = all_298_1_158)
% 29.01/9.42 |
% 29.01/9.42 | Equations (396,397) can reduce 407 to:
% 29.01/9.42 | (229) $false
% 29.01/9.42 |
% 29.01/9.42 |-The branch is then unsatisfiable
% 29.01/9.42 |-Branch two:
% 29.01/9.42 | (409) ~ (all_0_1_1 = all_0_3_3)
% 29.01/9.42 | (410) ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(all_0_1_1, all_0_3_3) = v2 & aScalar0(all_0_1_1) = v1 & aScalar0(all_0_3_3) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 29.01/9.43 |
% 29.01/9.43 | Instantiating (410) with all_336_0_165, all_336_1_166, all_336_2_167 yields:
% 29.01/9.43 | (411) sdtlseqdt0(all_0_1_1, all_0_3_3) = all_336_0_165 & aScalar0(all_0_1_1) = all_336_1_166 & aScalar0(all_0_3_3) = all_336_2_167 & ( ~ (all_336_0_165 = 0) | ~ (all_336_1_166 = 0) | ~ (all_336_2_167 = 0))
% 29.01/9.43 |
% 29.01/9.43 | Applying alpha-rule on (411) yields:
% 29.01/9.43 | (412) sdtlseqdt0(all_0_1_1, all_0_3_3) = all_336_0_165
% 29.01/9.43 | (413) aScalar0(all_0_1_1) = all_336_1_166
% 29.01/9.43 | (414) aScalar0(all_0_3_3) = all_336_2_167
% 29.01/9.43 | (415) ~ (all_336_0_165 = 0) | ~ (all_336_1_166 = 0) | ~ (all_336_2_167 = 0)
% 29.01/9.43 |
% 29.01/9.43 | Instantiating formula (85) with all_0_1_1, all_0_3_3, all_336_0_165, 0 and discharging atoms sdtlseqdt0(all_0_1_1, all_0_3_3) = all_336_0_165, sdtlseqdt0(all_0_1_1, all_0_3_3) = 0, yields:
% 29.01/9.43 | (416) all_336_0_165 = 0
% 29.01/9.43 |
% 29.01/9.43 | Instantiating formula (54) with all_0_1_1, 0, all_336_1_166 and discharging atoms aScalar0(all_0_1_1) = all_336_1_166, aScalar0(all_0_1_1) = 0, yields:
% 29.01/9.43 | (417) all_336_1_166 = 0
% 29.01/9.43 |
% 29.01/9.43 | Instantiating formula (54) with all_0_3_3, all_336_2_167, 0 and discharging atoms aScalar0(all_0_3_3) = all_336_2_167, aScalar0(all_0_3_3) = 0, yields:
% 29.01/9.43 | (418) all_336_2_167 = 0
% 29.01/9.43 |
% 29.01/9.43 +-Applying beta-rule and splitting (415), into two cases.
% 29.01/9.43 |-Branch one:
% 29.01/9.43 | (419) ~ (all_336_0_165 = 0)
% 29.01/9.43 |
% 29.01/9.43 | Equations (416) can reduce 419 to:
% 29.01/9.43 | (229) $false
% 29.01/9.43 |
% 29.01/9.43 |-The branch is then unsatisfiable
% 29.01/9.43 |-Branch two:
% 29.01/9.43 | (416) all_336_0_165 = 0
% 29.01/9.43 | (422) ~ (all_336_1_166 = 0) | ~ (all_336_2_167 = 0)
% 29.01/9.43 |
% 29.01/9.43 +-Applying beta-rule and splitting (422), into two cases.
% 29.01/9.43 |-Branch one:
% 29.01/9.43 | (423) ~ (all_336_1_166 = 0)
% 29.01/9.43 |
% 29.01/9.43 | Equations (417) can reduce 423 to:
% 29.01/9.43 | (229) $false
% 29.01/9.43 |
% 29.01/9.43 |-The branch is then unsatisfiable
% 29.01/9.43 |-Branch two:
% 29.01/9.43 | (417) all_336_1_166 = 0
% 29.01/9.43 | (426) ~ (all_336_2_167 = 0)
% 29.01/9.43 |
% 29.01/9.43 | Equations (418) can reduce 426 to:
% 29.01/9.43 | (229) $false
% 29.01/9.43 |
% 29.01/9.43 |-The branch is then unsatisfiable
% 29.01/9.43 % SZS output end Proof for theBenchmark
% 29.01/9.43
% 29.01/9.43 8838ms
%------------------------------------------------------------------------------