TSTP Solution File: RNG072+2 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : RNG072+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n021.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 20:25:15 EDT 2022
% Result : Theorem 17.38s 6.42s
% Output : Proof 30.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG072+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.33 % Computer : n021.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon May 30 08:13:28 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.54/0.57 ____ _
% 0.54/0.57 ___ / __ \_____(_)___ ________ __________
% 0.54/0.57 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.54/0.57 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.54/0.57 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.54/0.57
% 0.54/0.57 A Theorem Prover for First-Order Logic
% 0.59/0.57 (ePrincess v.1.0)
% 0.59/0.57
% 0.59/0.57 (c) Philipp Rümmer, 2009-2015
% 0.59/0.57 (c) Peter Backeman, 2014-2015
% 0.59/0.57 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.59/0.57 Free software under GNU Lesser General Public License (LGPL).
% 0.59/0.57 Bug reports to peter@backeman.se
% 0.59/0.57
% 0.59/0.57 For more information, visit http://user.uu.se/~petba168/breu/
% 0.59/0.57
% 0.59/0.57 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.59/0.62 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.81/1.00 Prover 0: Preprocessing ...
% 3.80/1.51 Prover 0: Constructing countermodel ...
% 15.17/5.91 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 15.46/6.02 Prover 1: Preprocessing ...
% 16.23/6.17 Prover 1: Constructing countermodel ...
% 17.38/6.42 Prover 1: proved (509ms)
% 17.38/6.42 Prover 0: stopped
% 17.38/6.42
% 17.38/6.42 No countermodel exists, formula is valid
% 17.38/6.42 % SZS status Theorem for theBenchmark
% 17.38/6.42
% 17.38/6.42 Generating proof ... found it (size 208)
% 30.31/9.51
% 30.31/9.51 % SZS output start Proof for theBenchmark
% 30.31/9.51 Assumed formulas after preprocessing and simplification:
% 30.31/9.51 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ( ~ (v16 = 0) & ~ (v15 = 0) & ~ (v1 = sz00) & sdtasasdt0(xq, xq) = xD & sdtasasdt0(xp, xq) = xE & sdtasasdt0(xp, xp) = xC & sziznziztdt0(xt) = xq & sziznziztdt0(xs) = xp & sdtlbdtrb0(xt, v1) = xB & sdtlbdtrb0(xs, v1) = xA & aVector0(xq) = 0 & aVector0(xp) = 0 & aVector0(xt) = 0 & aVector0(xs) = 0 & aDimensionOf0(xq) = v3 & aDimensionOf0(xp) = v2 & aDimensionOf0(xt) = v1 & aDimensionOf0(xs) = v1 & sdtlseqdt0(v14, v12) = v16 & 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 & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (sdtasdt0(v18, v20) = v25) | ~ (sdtasdt0(v18, v19) = v24) | ~ (sdtasdt0(v17, v20) = v22) | ~ (sdtasdt0(v17, v19) = v21) | ~ (sdtpldt0(v24, v25) = v26) | ~ (sdtpldt0(v23, v26) = v27) | ~ (sdtpldt0(v21, v22) = v23) | ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ? [v34] : (sdtasdt0(v32, v33) = v34 & sdtpldt0(v19, v20) = v33 & sdtpldt0(v17, v18) = v32 & aScalar0(v20) = v31 & aScalar0(v19) = v30 & aScalar0(v18) = v29 & aScalar0(v17) = v28 & ( ~ (v31 = 0) | ~ (v30 = 0) | ~ (v29 = 0) | ~ (v28 = 0) | v34 = v27))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : (v19 = sz00 | ~ (sdtasasdt0(v20, v21) = v22) | ~ (sziznziztdt0(v18) = v21) | ~ (sziznziztdt0(v17) = v20) | ~ (sdtlbdtrb0(v18, v19) = v24) | ~ (sdtlbdtrb0(v17, v19) = v23) | ~ (aDimensionOf0(v18) = v19) | ~ (aDimensionOf0(v17) = v19) | ~ (sdtasdt0(v23, v24) = v25) | ~ (sdtpldt0(v22, v25) = v26) | ? [v27] : ? [v28] : ? [v29] : (sdtasasdt0(v17, v18) = v29 & aVector0(v18) = v28 & aVector0(v17) = v27 & ( ~ (v28 = 0) | ~ (v27 = 0) | v29 = v26))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v24 = 0 | ~ (sdtasasdt0(v18, v18) = v22) | ~ (sdtasasdt0(v17, v18) = v19) | ~ (sdtasasdt0(v17, v17) = v21) | ~ (sdtlseqdt0(v20, v23) = v24) | ~ (sdtasdt0(v21, v22) = v23) | ~ (sdtasdt0(v19, v19) = v20) | ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : (aVector0(v18) = v26 & aVector0(v17) = v25 & aDimensionOf0(v18) = v28 & aDimensionOf0(v17) = v27 & iLess0(v27, v1) = v29 & ( ~ (v29 = 0) | ~ (v28 = v27) | ~ (v26 = 0) | ~ (v25 = 0)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = 0 | ~ (sdtlseqdt0(v21, v22) = v23) | ~ (sdtasdt0(v18, v20) = v22) | ~ (sdtasdt0(v17, v19) = v21) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : (sdtlseqdt0(v19, v20) = v30 & sdtlseqdt0(v17, v18) = v28 & sdtlseqdt0(sz0z00, v19) = v29 & aScalar0(v20) = v27 & aScalar0(v19) = v26 & aScalar0(v18) = v25 & aScalar0(v17) = v24 & ( ~ (v30 = 0) | ~ (v29 = 0) | ~ (v28 = 0) | ~ (v27 = 0) | ~ (v26 = 0) | ~ (v25 = 0) | ~ (v24 = 0)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = 0 | ~ (sdtlseqdt0(v21, v22) = v23) | ~ (sdtpldt0(v18, v20) = v22) | ~ (sdtpldt0(v17, v19) = v21) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : (sdtlseqdt0(v19, v20) = v29 & sdtlseqdt0(v17, v18) = v28 & aScalar0(v20) = v27 & aScalar0(v19) = v26 & aScalar0(v18) = v25 & aScalar0(v17) = v24 & ( ~ (v29 = 0) | ~ (v28 = 0) | ~ (v27 = 0) | ~ (v26 = 0) | ~ (v25 = 0) | ~ (v24 = 0)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (sdtasdt0(v17, v19) = v21) | ~ (sdtasdt0(v17, v18) = v20) | ~ (sdtpldt0(v20, v21) = v22) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : (sdtasdt0(v28, v19) = v29 & sdtasdt0(v18, v19) = v30 & sdtasdt0(v17, v26) = v27 & sdtpldt0(v21, v30) = v31 & sdtpldt0(v18, v19) = v26 & sdtpldt0(v17, v18) = v28 & aScalar0(v19) = v25 & aScalar0(v18) = v24 & aScalar0(v17) = v23 & ( ~ (v25 = 0) | ~ (v24 = 0) | ~ (v23 = 0) | (v31 = v29 & v27 = v22)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (smndt0(v18) = v20) | ~ (smndt0(v17) = v19) | ~ (sdtasdt0(v19, v20) = v21) | ? [v22] : ? [v23] : ? [v24] : (sdtasdt0(v17, v18) = v24 & aScalar0(v18) = v23 & aScalar0(v17) = v22 & ( ~ (v23 = 0) | ~ (v22 = 0) | v24 = v21))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (sdtpldt0(v20, v19) = v21) | ~ (sdtpldt0(v17, v18) = v20) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : (sdtasdt0(v28, v19) = v29 & sdtasdt0(v18, v19) = v30 & sdtasdt0(v18, v17) = v32 & sdtasdt0(v17, v30) = v31 & sdtasdt0(v17, v18) = v28 & sdtpldt0(v18, v19) = v25 & sdtpldt0(v18, v17) = v27 & sdtpldt0(v17, v25) = v26 & aScalar0(v19) = v24 & aScalar0(v18) = v23 & aScalar0(v17) = v22 & ( ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | (v32 = v28 & v31 = v29 & v27 = v20 & v26 = v21)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = 0 | ~ (sdtlseqdt0(v17, v19) = v20) | ~ (sdtlseqdt0(v17, v18) = 0) | ? [v21] : ? [v22] : ? [v23] : ? [v24] : (sdtlseqdt0(v18, v19) = v24 & aScalar0(v19) = v23 & aScalar0(v18) = v22 & aScalar0(v17) = v21 & ( ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0)))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (sdtasasdt0(v20, v19) = v18) | ~ (sdtasasdt0(v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (sdtlbdtrb0(v20, v19) = v18) | ~ (sdtlbdtrb0(v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (sdtlseqdt0(v20, v19) = v18) | ~ (sdtlseqdt0(v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (sdtasdt0(v20, v19) = v18) | ~ (sdtasdt0(v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (sdtpldt0(v20, v19) = v18) | ~ (sdtpldt0(v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (iLess0(v20, v19) = v18) | ~ (iLess0(v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (sziznziztdt0(v18) = v20) | ~ (sziznziztdt0(v17) = v19) | ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : (aVector0(v18) = v22 & aVector0(v17) = v21 & aDimensionOf0(v20) = v26 & aDimensionOf0(v19) = v25 & aDimensionOf0(v18) = v24 & aDimensionOf0(v17) = v23 & ( ~ (v24 = v23) | ~ (v22 = 0) | ~ (v21 = 0) | v26 = v25 | v23 = sz00))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (smndt0(v17) = v19) | ~ (sdtasdt0(v19, v18) = v20) | ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : (smndt0(v25) = v26 & smndt0(v18) = v23 & sdtasdt0(v17, v23) = v24 & sdtasdt0(v17, v18) = v25 & aScalar0(v18) = v22 & aScalar0(v17) = v21 & ( ~ (v22 = 0) | ~ (v21 = 0) | (v26 = v20 & v24 = v20)))) & ! [v17] : ! [v18] : ! [v19] : (v19 = sz0z00 | ~ (sdtasasdt0(v17, v18) = v19) | ? [v20] : ? [v21] : ? [v22] : ? [v23] : (aVector0(v18) = v21 & aVector0(v17) = v20 & aDimensionOf0(v18) = v23 & aDimensionOf0(v17) = v22 & ( ~ (v23 = sz00) | ~ (v22 = sz00) | ~ (v21 = 0) | ~ (v20 = 0)))) & ! [v17] : ! [v18] : ! [v19] : (v19 = 0 | ~ (sdtlseqdt0(v17, v18) = v19) | ? [v20] : ? [v21] : ? [v22] : (sdtlseqdt0(v18, v17) = v22 & aScalar0(v18) = v21 & aScalar0(v17) = v20 & ( ~ (v21 = 0) | ~ (v20 = 0) | v22 = 0))) & ! [v17] : ! [v18] : ! [v19] : (v19 = 0 | ~ (iLess0(v17, v18) = v19) | ~ (szszuzczcdt0(v17) = v18) | ? [v20] : ( ~ (v20 = 0) & aNaturalNumber0(v17) = v20)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v17 | ~ (sziznziztdt0(v19) = v18) | ~ (sziznziztdt0(v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v17 | ~ (aVector0(v19) = v18) | ~ (aVector0(v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v17 | ~ (aDimensionOf0(v19) = v18) | ~ (aDimensionOf0(v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v17 | ~ (smndt0(v19) = v18) | ~ (smndt0(v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v17 | ~ (aScalar0(v19) = v18) | ~ (aScalar0(v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v17 | ~ (szszuzczcdt0(v19) = v18) | ~ (szszuzczcdt0(v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v17 | ~ (szszuzczcdt0(v18) = v19) | ~ (szszuzczcdt0(v17) = v19) | ? [v20] : ? [v21] : (aNaturalNumber0(v18) = v21 & aNaturalNumber0(v17) = v20 & ( ~ (v21 = 0) | ~ (v20 = 0)))) & ! [v17] : ! [v18] : ! [v19] : (v18 = v17 | ~ (aNaturalNumber0(v19) = v18) | ~ (aNaturalNumber0(v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (sdtasasdt0(v17, v18) = v19) | ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : (aVector0(v18) = v21 & aVector0(v17) = v20 & aDimensionOf0(v18) = v23 & aDimensionOf0(v17) = v22 & aScalar0(v19) = v24 & ( ~ (v23 = v22) | ~ (v21 = 0) | ~ (v20 = 0) | v24 = 0))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (sdtlbdtrb0(v17, v18) = v19) | ? [v20] : ? [v21] : ? [v22] : (aVector0(v17) = v20 & aScalar0(v19) = v22 & aNaturalNumber0(v18) = v21 & ( ~ (v21 = 0) | ~ (v20 = 0) | v22 = 0))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (smndt0(v17) = v18) | ~ (sdtpldt0(v18, v17) = v19) | ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : (smndt0(v18) = v26 & sdtasdt0(v17, sz0z00) = v23 & sdtasdt0(sz0z00, v17) = v24 & sdtpldt0(v17, v18) = v25 & sdtpldt0(v17, sz0z00) = v21 & sdtpldt0(sz0z00, v17) = v22 & aScalar0(v17) = v20 & ( ~ (v20 = 0) | (v26 = v17 & v25 = sz0z00 & v24 = sz0z00 & v23 = sz0z00 & v22 = v17 & v21 = v17 & v19 = sz0z00 & v0 = sz0z00)))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (sdtasdt0(v17, v18) = v19) | ? [v20] : ? [v21] : ? [v22] : (aScalar0(v19) = v22 & aScalar0(v18) = v21 & aScalar0(v17) = v20 & ( ~ (v21 = 0) | ~ (v20 = 0) | v22 = 0))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (sdtpldt0(v17, v18) = v19) | ? [v20] : ? [v21] : ? [v22] : (aScalar0(v19) = v22 & aScalar0(v18) = v21 & aScalar0(v17) = v20 & ( ~ (v21 = 0) | ~ (v20 = 0) | v22 = 0))) & ! [v17] : ! [v18] : (v18 = v17 | ~ (sdtlseqdt0(v17, v18) = 0) | ? [v19] : ? [v20] : ? [v21] : (sdtlseqdt0(v18, v17) = v21 & aScalar0(v18) = v20 & aScalar0(v17) = v19 & ( ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0)))) & ! [v17] : ! [v18] : (v18 = v17 | ~ (sdtlseqdt0(sz0z00, v18) = 0) | ~ (sdtlseqdt0(sz0z00, v17) = 0) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : (sdtasdt0(v18, v18) = v22 & sdtasdt0(v17, v17) = v21 & aScalar0(v18) = v20 & aScalar0(v17) = v19 & ( ~ (v22 = v21) | ~ (v20 = 0) | ~ (v19 = 0)))) & ! [v17] : ! [v18] : (v18 = 0 | ~ (sdtlseqdt0(v17, v17) = v18) | ? [v19] : ( ~ (v19 = 0) & aScalar0(v17) = v19)) & ! [v17] : ! [v18] : ( ~ (sdtasasdt0(v17, v17) = v18) | ? [v19] : ? [v20] : (aVector0(v17) = v19 & sdtlseqdt0(sz0z00, v18) = v20 & ( ~ (v19 = 0) | v20 = 0))) & ! [v17] : ! [v18] : ( ~ (sziznziztdt0(v17) = v18) | ? [v19] : ? [v20] : (aVector0(v17) = v19 & aDimensionOf0(v17) = v20 & ( ~ (v19 = 0) | v20 = sz00 | ( ! [v21] : ! [v22] : ! [v23] : ( ~ (sdtlbdtrb0(v17, v22) = v23) | ~ (aVector0(v18) = v21) | ? [v24] : ? [v25] : (sdtlbdtrb0(v18, v22) = v25 & aNaturalNumber0(v22) = v24 & ( ~ (v24 = 0) | v25 = v23))) & ! [v21] : (v21 = v18 | ~ (aVector0(v21) = 0) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : ((v23 = 0 & ~ (v25 = v24) & sdtlbdtrb0(v21, v22) = v24 & sdtlbdtrb0(v17, v22) = v25 & aNaturalNumber0(v22) = 0) | ( ~ (v23 = v20) & aDimensionOf0(v21) = v22 & szszuzczcdt0(v22) = v23))) & ! [v21] : (v21 = 0 | ~ (aVector0(v18) = v21)) & ! [v21] : ( ~ (aVector0(v18) = v21) | ? [v22] : (aDimensionOf0(v18) = v22 & szszuzczcdt0(v22) = v20)))))) & ! [v17] : ! [v18] : ( ~ (sdtlbdtrb0(xp, v17) = v18) | ? [v19] : ? [v20] : (sdtlbdtrb0(xs, v17) = v20 & aNaturalNumber0(v17) = v19 & ( ~ (v19 = 0) | v20 = v18))) & ! [v17] : ! [v18] : ( ~ (sdtlbdtrb0(xt, v17) = v18) | ? [v19] : ? [v20] : (sdtlbdtrb0(xq, v17) = v20 & aNaturalNumber0(v17) = v19 & ( ~ (v19 = 0) | v20 = v18))) & ! [v17] : ! [v18] : ( ~ (sdtlseqdt0(sz0z00, v18) = 0) | ~ (sdtlseqdt0(sz0z00, v17) = 0) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : (sdtlseqdt0(sz0z00, v23) = v24 & sdtlseqdt0(sz0z00, v21) = v22 & sdtasdt0(v17, v18) = v23 & sdtpldt0(v17, v18) = v21 & aScalar0(v18) = v20 & aScalar0(v17) = v19 & ( ~ (v20 = 0) | ~ (v19 = 0) | (v24 = 0 & v22 = 0)))) & ! [v17] : ! [v18] : ( ~ (smndt0(v17) = v18) | ? [v19] : ? [v20] : (aScalar0(v18) = v20 & aScalar0(v17) = v19 & ( ~ (v19 = 0) | v20 = 0))) & ! [v17] : ! [v18] : ( ~ (sdtasdt0(v17, v17) = v18) | ? [v19] : ? [v20] : (sdtlseqdt0(sz0z00, v18) = v20 & aScalar0(v17) = v19 & ( ~ (v19 = 0) | v20 = 0))) & ! [v17] : ! [v18] : ( ~ (szszuzczcdt0(v17) = v18) | ? [v19] : ? [v20] : (aNaturalNumber0(v18) = v20 & aNaturalNumber0(v17) = v19 & ( ~ (v19 = 0) | (v20 = 0 & ~ (v18 = sz00))))) & ! [v17] : (v17 = sz00 | ~ (aNaturalNumber0(v17) = 0) | ? [v18] : (szszuzczcdt0(v18) = v17 & aNaturalNumber0(v18) = 0)) & ! [v17] : ( ~ (aVector0(v17) = 0) | ? [v18] : (aDimensionOf0(v17) = v18 & aNaturalNumber0(v18) = 0)))
% 30.39/9.58 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10, all_0_11_11, all_0_12_12, all_0_13_13, all_0_14_14, all_0_15_15, all_0_16_16 yields:
% 30.39/9.58 | (1) ~ (all_0_0_0 = 0) & ~ (all_0_1_1 = 0) & ~ (all_0_15_15 = sz00) & sdtasasdt0(xq, xq) = xD & sdtasasdt0(xp, xq) = xE & sdtasasdt0(xp, xp) = xC & sziznziztdt0(xt) = xq & sziznziztdt0(xs) = xp & sdtlbdtrb0(xt, all_0_15_15) = xB & sdtlbdtrb0(xs, all_0_15_15) = xA & aVector0(xq) = 0 & aVector0(xp) = 0 & aVector0(xt) = 0 & aVector0(xs) = 0 & aDimensionOf0(xq) = all_0_13_13 & aDimensionOf0(xp) = all_0_14_14 & aDimensionOf0(xt) = all_0_15_15 & aDimensionOf0(xs) = all_0_15_15 & sdtlseqdt0(all_0_2_2, all_0_4_4) = all_0_0_0 & sdtlseqdt0(all_0_3_3, all_0_5_5) = 0 & sdtlseqdt0(all_0_4_4, all_0_2_2) = 0 & sdtlseqdt0(all_0_5_5, all_0_3_3) = all_0_1_1 & sdtlseqdt0(all_0_9_9, all_0_6_6) = 0 & sdtlseqdt0(all_0_10_10, xN) = 0 & sdtlseqdt0(all_0_12_12, all_0_11_11) = 0 & sdtlseqdt0(sz0z00, all_0_3_3) = 0 & sdtlseqdt0(sz0z00, all_0_5_5) = 0 & smndt0(sz0z00) = all_0_16_16 & sdtasdt0(all_0_3_3, all_0_3_3) = all_0_2_2 & sdtasdt0(all_0_5_5, all_0_5_5) = all_0_4_4 & sdtasdt0(xS, xS) = all_0_7_7 & sdtasdt0(xP, xP) = all_0_10_10 & sdtasdt0(xR, xS) = xN & sdtasdt0(xR, xR) = all_0_8_8 & sdtasdt0(xF, xD) = xS & sdtasdt0(xE, xH) = xP & sdtasdt0(xE, xE) = all_0_12_12 & sdtasdt0(xC, xG) = xR & sdtasdt0(xC, xD) = all_0_11_11 & sdtasdt0(xB, xB) = xG & sdtasdt0(xA, xB) = xH & sdtasdt0(xA, xA) = xF & sdtpldt0(all_0_8_8, all_0_7_7) = all_0_6_6 & sdtpldt0(all_0_10_10, all_0_10_10) = all_0_9_9 & sdtpldt0(xP, xP) = all_0_5_5 & sdtpldt0(xR, xS) = all_0_3_3 & 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_13_13) = all_0_15_15 & szszuzczcdt0(all_0_14_14) = all_0_15_15 & 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_15_15) = 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_16_16 = 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))
% 30.39/9.60 |
% 30.39/9.60 | Applying alpha-rule on (1) yields:
% 30.39/9.60 | (2) aScalar0(xF) = 0
% 30.39/9.60 | (3) sdtasdt0(xR, xS) = xN
% 30.39/9.60 | (4) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (smndt0(v2) = v1) | ~ (smndt0(v2) = v0))
% 30.39/9.60 | (5) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (iLess0(v0, v1) = v2) | ~ (szszuzczcdt0(v0) = v1) | ? [v3] : ( ~ (v3 = 0) & aNaturalNumber0(v0) = v3))
% 30.39/9.60 | (6) ! [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))))
% 30.39/9.60 | (7) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (szszuzczcdt0(v1) = v2) | ~ (szszuzczcdt0(v0) = v2) | ? [v3] : ? [v4] : (aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0))))
% 30.39/9.60 | (8) szszuzczcdt0(all_0_14_14) = all_0_15_15
% 30.39/9.60 | (9) aScalar0(xR) = 0
% 30.39/9.60 | (10) sdtlbdtrb0(xt, all_0_15_15) = xB
% 30.39/9.60 | (11) ! [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))))
% 30.39/9.60 | (12) aNaturalNumber0(sz00) = 0
% 30.39/9.60 | (13) sdtasasdt0(xp, xp) = xC
% 30.39/9.60 | (14) ~ (all_0_15_15 = sz00)
% 30.39/9.60 | (15) aScalar0(xP) = 0
% 30.39/9.60 | (16) aDimensionOf0(xp) = all_0_14_14
% 30.39/9.60 | (17) sdtasdt0(all_0_3_3, all_0_3_3) = all_0_2_2
% 30.39/9.60 | (18) smndt0(sz0z00) = all_0_16_16
% 30.39/9.60 | (19) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aDimensionOf0(v2) = v1) | ~ (aDimensionOf0(v2) = v0))
% 30.39/9.60 | (20) sdtpldt0(xR, xS) = all_0_3_3
% 30.39/9.60 | (21) aDimensionOf0(xq) = all_0_13_13
% 30.39/9.60 | (22) ! [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))))
% 30.39/9.61 | (23) sdtasdt0(xP, xP) = all_0_10_10
% 30.39/9.61 | (24) ! [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))))
% 30.39/9.61 | (25) sdtpldt0(all_0_10_10, all_0_10_10) = all_0_9_9
% 30.39/9.61 | (26) ! [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))))
% 30.39/9.61 | (27) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtasdt0(v3, v2) = v1) | ~ (sdtasdt0(v3, v2) = v0))
% 30.39/9.61 | (28) sdtasdt0(xS, xS) = all_0_7_7
% 30.39/9.61 | (29) sdtasdt0(xA, xB) = xH
% 30.39/9.61 | (30) ! [v0] : ! [v1] : ( ~ (sdtasdt0(v0, v0) = v1) | ? [v2] : ? [v3] : (sdtlseqdt0(sz0z00, v1) = v3 & aScalar0(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 30.39/9.61 | (31) sziznziztdt0(xs) = xp
% 30.39/9.61 | (32) sdtasdt0(xR, xR) = all_0_8_8
% 30.39/9.61 | (33) ! [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))))
% 30.39/9.61 | (34) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (szszuzczcdt0(v2) = v1) | ~ (szszuzczcdt0(v2) = v0))
% 30.39/9.61 | (35) ! [v0] : ! [v1] : (v1 = 0 | ~ (sdtlseqdt0(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & aScalar0(v0) = v2))
% 30.39/9.61 | (36) aVector0(xp) = 0
% 30.39/9.61 | (37) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aNaturalNumber0(v2) = v1) | ~ (aNaturalNumber0(v2) = v0))
% 30.39/9.61 | (38) sdtasasdt0(xp, xq) = xE
% 30.39/9.61 | (39) ! [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)))
% 30.86/9.61 | (40) aScalar0(xB) = 0
% 30.86/9.61 | (41) aScalar0(xH) = 0
% 30.86/9.61 | (42) sdtasdt0(xA, xA) = xF
% 30.86/9.61 | (43) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (sziznziztdt0(v2) = v1) | ~ (sziznziztdt0(v2) = v0))
% 30.86/9.61 | (44) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aVector0(v2) = v1) | ~ (aVector0(v2) = v0))
% 30.86/9.61 | (45) sdtasdt0(xE, xE) = all_0_12_12
% 30.86/9.61 | (46) aScalar0(xN) = 0
% 30.86/9.61 | (47) aScalar0(xC) = 0
% 30.86/9.61 | (48) ! [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_16_16 = sz0z00))))
% 30.86/9.61 | (49) ! [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)))
% 30.86/9.61 | (50) sdtasdt0(all_0_5_5, all_0_5_5) = all_0_4_4
% 30.86/9.61 | (51) ! [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)))
% 30.86/9.61 | (52) ! [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_15_15) = v12 & ( ~ (v12 = 0) | ~ (v11 = v10) | ~ (v9 = 0) | ~ (v8 = 0))))
% 30.86/9.61 | (53) aScalar0(xD) = 0
% 30.86/9.61 | (54) ! [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)))
% 30.86/9.62 | (55) sdtlseqdt0(all_0_10_10, xN) = 0
% 30.86/9.62 | (56) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (iLess0(v3, v2) = v1) | ~ (iLess0(v3, v2) = v0))
% 30.86/9.62 | (57) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtlseqdt0(v3, v2) = v1) | ~ (sdtlseqdt0(v3, v2) = v0))
% 30.86/9.62 | (58) ! [v0] : ! [v1] : ( ~ (sdtlbdtrb0(xp, v0) = v1) | ? [v2] : ? [v3] : (sdtlbdtrb0(xs, v0) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v2 = 0) | v3 = v1)))
% 30.86/9.62 | (59) ! [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))))
% 30.86/9.62 | (60) sdtlseqdt0(all_0_5_5, all_0_3_3) = all_0_1_1
% 30.86/9.62 | (61) ! [v0] : ! [v1] : ( ~ (smndt0(v0) = v1) | ? [v2] : ? [v3] : (aScalar0(v1) = v3 & aScalar0(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 30.86/9.62 | (62) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0))
% 30.86/9.62 | (63) sdtlseqdt0(all_0_2_2, all_0_4_4) = all_0_0_0
% 30.86/9.62 | (64) sdtlseqdt0(all_0_9_9, all_0_6_6) = 0
% 30.86/9.62 | (65) sdtasdt0(xE, xH) = xP
% 30.86/9.62 | (66) ! [v0] : ! [v1] : ( ~ (sdtlbdtrb0(xt, v0) = v1) | ? [v2] : ? [v3] : (sdtlbdtrb0(xq, v0) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v2 = 0) | v3 = v1)))
% 30.86/9.62 | (67) aVector0(xs) = 0
% 30.86/9.62 | (68) sdtasasdt0(xq, xq) = xD
% 30.86/9.62 | (69) sdtasdt0(xF, xD) = xS
% 30.86/9.62 | (70) ! [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)))
% 30.86/9.62 | (71) ! [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)))
% 30.86/9.62 | (72) aDimensionOf0(xt) = all_0_15_15
% 30.86/9.62 | (73) sdtasdt0(xC, xG) = xR
% 30.86/9.62 | (74) ! [v0] : ! [v1] : ( ~ (sdtasasdt0(v0, v0) = v1) | ? [v2] : ? [v3] : (aVector0(v0) = v2 & sdtlseqdt0(sz0z00, v1) = v3 & ( ~ (v2 = 0) | v3 = 0)))
% 30.86/9.62 | (75) sdtlbdtrb0(xs, all_0_15_15) = xA
% 30.86/9.62 | (76) ! [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))))
% 30.86/9.62 | (77) sdtlseqdt0(sz0z00, all_0_3_3) = 0
% 30.86/9.62 | (78) sdtpldt0(xP, xP) = all_0_5_5
% 30.86/9.62 | (79) ! [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)))
% 30.86/9.62 | (80) aScalar0(xE) = 0
% 30.86/9.62 | (81) aVector0(xt) = 0
% 30.86/9.62 | (82) ! [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)))
% 30.86/9.62 | (83) szszuzczcdt0(all_0_13_13) = all_0_15_15
% 30.86/9.62 | (84) sdtlseqdt0(sz0z00, all_0_5_5) = 0
% 30.86/9.62 | (85) ! [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)))
% 30.86/9.62 | (86) aScalar0(xA) = 0
% 30.86/9.62 | (87) sdtasdt0(xB, xB) = xG
% 30.86/9.62 | (88) aScalar0(xS) = 0
% 30.86/9.62 | (89) sdtlseqdt0(all_0_3_3, all_0_5_5) = 0
% 30.86/9.62 | (90) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtasasdt0(v3, v2) = v1) | ~ (sdtasasdt0(v3, v2) = v0))
% 30.86/9.62 | (91) ! [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))))))
% 30.86/9.63 | (92) ~ (all_0_1_1 = 0)
% 30.86/9.63 | (93) sdtlseqdt0(all_0_4_4, all_0_2_2) = 0
% 30.86/9.63 | (94) aDimensionOf0(xs) = all_0_15_15
% 30.86/9.63 | (95) sziznziztdt0(xt) = xq
% 30.86/9.63 | (96) ~ (all_0_0_0 = 0)
% 30.86/9.63 | (97) ! [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))))
% 30.86/9.63 | (98) ! [v0] : (v0 = sz00 | ~ (aNaturalNumber0(v0) = 0) | ? [v1] : (szszuzczcdt0(v1) = v0 & aNaturalNumber0(v1) = 0))
% 30.86/9.63 | (99) sdtlseqdt0(all_0_12_12, all_0_11_11) = 0
% 30.86/9.63 | (100) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtlbdtrb0(v3, v2) = v1) | ~ (sdtlbdtrb0(v3, v2) = v0))
% 30.86/9.63 | (101) ! [v0] : ( ~ (aVector0(v0) = 0) | ? [v1] : (aDimensionOf0(v0) = v1 & aNaturalNumber0(v1) = 0))
% 30.86/9.63 | (102) ! [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))))
% 30.86/9.63 | (103) aScalar0(sz0z00) = 0
% 30.86/9.63 | (104) aScalar0(xG) = 0
% 30.86/9.63 | (105) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aScalar0(v2) = v1) | ~ (aScalar0(v2) = v0))
% 30.86/9.63 | (106) ! [v0] : ! [v1] : ( ~ (szszuzczcdt0(v0) = v1) | ? [v2] : ? [v3] : (aNaturalNumber0(v1) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v2 = 0) | (v3 = 0 & ~ (v1 = sz00)))))
% 30.86/9.63 | (107) aVector0(xq) = 0
% 30.86/9.63 | (108) sdtasdt0(xC, xD) = all_0_11_11
% 30.86/9.63 | (109) sdtpldt0(all_0_8_8, all_0_7_7) = all_0_6_6
% 30.86/9.63 |
% 30.86/9.63 | Instantiating formula (6) with all_0_3_3, all_0_3_3 and discharging atoms sdtlseqdt0(sz0z00, all_0_3_3) = 0, yields:
% 30.86/9.63 | (110) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (sdtlseqdt0(sz0z00, v4) = v5 & sdtlseqdt0(sz0z00, v2) = v3 & sdtasdt0(all_0_3_3, all_0_3_3) = v4 & sdtpldt0(all_0_3_3, all_0_3_3) = v2 & aScalar0(all_0_3_3) = v1 & aScalar0(all_0_3_3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v5 = 0 & v3 = 0)))
% 30.86/9.63 |
% 30.86/9.63 | Instantiating formula (6) with all_0_5_5, all_0_3_3 and discharging atoms sdtlseqdt0(sz0z00, all_0_3_3) = 0, sdtlseqdt0(sz0z00, all_0_5_5) = 0, yields:
% 30.86/9.63 | (111) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (sdtlseqdt0(sz0z00, v4) = v5 & sdtlseqdt0(sz0z00, v2) = v3 & sdtasdt0(all_0_3_3, all_0_5_5) = v4 & sdtpldt0(all_0_3_3, all_0_5_5) = v2 & aScalar0(all_0_3_3) = v0 & aScalar0(all_0_5_5) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v5 = 0 & v3 = 0)))
% 30.86/9.63 |
% 30.86/9.63 | Instantiating formula (6) with all_0_3_3, all_0_5_5 and discharging atoms sdtlseqdt0(sz0z00, all_0_3_3) = 0, sdtlseqdt0(sz0z00, all_0_5_5) = 0, yields:
% 30.86/9.63 | (112) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (sdtlseqdt0(sz0z00, v4) = v5 & sdtlseqdt0(sz0z00, v2) = v3 & sdtasdt0(all_0_5_5, all_0_3_3) = v4 & sdtpldt0(all_0_5_5, all_0_3_3) = v2 & aScalar0(all_0_3_3) = v1 & aScalar0(all_0_5_5) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v5 = 0 & v3 = 0)))
% 30.86/9.63 |
% 30.86/9.63 | Instantiating formula (6) with all_0_5_5, all_0_5_5 and discharging atoms sdtlseqdt0(sz0z00, all_0_5_5) = 0, yields:
% 30.86/9.63 | (113) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (sdtlseqdt0(sz0z00, v4) = v5 & sdtlseqdt0(sz0z00, v2) = v3 & sdtasdt0(all_0_5_5, all_0_5_5) = v4 & sdtpldt0(all_0_5_5, all_0_5_5) = v2 & aScalar0(all_0_5_5) = v1 & aScalar0(all_0_5_5) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v5 = 0 & v3 = 0)))
% 30.86/9.63 |
% 30.86/9.63 | Instantiating formula (30) with all_0_2_2, all_0_3_3 and discharging atoms sdtasdt0(all_0_3_3, all_0_3_3) = all_0_2_2, yields:
% 30.86/9.63 | (114) ? [v0] : ? [v1] : (sdtlseqdt0(sz0z00, all_0_2_2) = v1 & aScalar0(all_0_3_3) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 30.86/9.63 |
% 30.86/9.63 | Instantiating formula (85) with all_0_2_2, all_0_3_3, all_0_3_3 and discharging atoms sdtasdt0(all_0_3_3, all_0_3_3) = all_0_2_2, yields:
% 30.86/9.63 | (115) ? [v0] : ? [v1] : ? [v2] : (aScalar0(all_0_2_2) = v2 & aScalar0(all_0_3_3) = v1 & aScalar0(all_0_3_3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 30.86/9.63 |
% 30.86/9.63 | Instantiating formula (22) with all_0_0_0, all_0_4_4, all_0_2_2, all_0_5_5, all_0_3_3, all_0_5_5, all_0_3_3 and discharging atoms sdtlseqdt0(all_0_2_2, all_0_4_4) = all_0_0_0, sdtasdt0(all_0_3_3, all_0_3_3) = all_0_2_2, sdtasdt0(all_0_5_5, all_0_5_5) = all_0_4_4, yields:
% 30.86/9.63 | (116) all_0_0_0 = 0 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (sdtlseqdt0(all_0_3_3, all_0_5_5) = v6 & sdtlseqdt0(all_0_3_3, all_0_5_5) = v4 & sdtlseqdt0(sz0z00, all_0_3_3) = v5 & aScalar0(all_0_3_3) = v2 & aScalar0(all_0_3_3) = v0 & aScalar0(all_0_5_5) = v3 & aScalar0(all_0_5_5) = v1 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 30.86/9.64 |
% 30.86/9.64 | Instantiating formula (30) with all_0_4_4, all_0_5_5 and discharging atoms sdtasdt0(all_0_5_5, all_0_5_5) = all_0_4_4, yields:
% 30.86/9.64 | (117) ? [v0] : ? [v1] : (sdtlseqdt0(sz0z00, all_0_4_4) = v1 & aScalar0(all_0_5_5) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 30.86/9.64 |
% 30.86/9.64 | Instantiating formula (85) with all_0_4_4, all_0_5_5, all_0_5_5 and discharging atoms sdtasdt0(all_0_5_5, all_0_5_5) = all_0_4_4, yields:
% 30.86/9.64 | (118) ? [v0] : ? [v1] : ? [v2] : (aScalar0(all_0_4_4) = v2 & aScalar0(all_0_5_5) = v1 & aScalar0(all_0_5_5) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 30.86/9.64 |
% 30.86/9.64 | Instantiating formula (30) with all_0_7_7, xS and discharging atoms sdtasdt0(xS, xS) = all_0_7_7, yields:
% 30.86/9.64 | (119) ? [v0] : ? [v1] : (sdtlseqdt0(sz0z00, all_0_7_7) = v1 & aScalar0(xS) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 30.86/9.64 |
% 30.86/9.64 | Instantiating formula (85) with all_0_7_7, xS, xS and discharging atoms sdtasdt0(xS, xS) = all_0_7_7, yields:
% 30.86/9.64 | (120) ? [v0] : ? [v1] : ? [v2] : (aScalar0(all_0_7_7) = v2 & aScalar0(xS) = v1 & aScalar0(xS) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 30.86/9.64 |
% 30.86/9.64 | Instantiating formula (30) with all_0_10_10, xP and discharging atoms sdtasdt0(xP, xP) = all_0_10_10, yields:
% 30.86/9.64 | (121) ? [v0] : ? [v1] : (sdtlseqdt0(sz0z00, all_0_10_10) = v1 & aScalar0(xP) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 30.86/9.64 |
% 30.86/9.64 | Instantiating formula (85) with all_0_10_10, xP, xP and discharging atoms sdtasdt0(xP, xP) = all_0_10_10, yields:
% 30.86/9.64 | (122) ? [v0] : ? [v1] : ? [v2] : (aScalar0(all_0_10_10) = v2 & aScalar0(xP) = v1 & aScalar0(xP) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 30.86/9.64 |
% 30.86/9.64 | Instantiating formula (30) with all_0_8_8, xR and discharging atoms sdtasdt0(xR, xR) = all_0_8_8, yields:
% 30.86/9.64 | (123) ? [v0] : ? [v1] : (sdtlseqdt0(sz0z00, all_0_8_8) = v1 & aScalar0(xR) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 30.86/9.64 |
% 30.86/9.64 | Instantiating formula (24) with all_0_9_9, all_0_10_10, all_0_10_10, xP, xP, xP and discharging atoms sdtasdt0(xP, xP) = all_0_10_10, sdtpldt0(all_0_10_10, all_0_10_10) = all_0_9_9, yields:
% 30.86/9.64 | (124) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (sdtasdt0(v5, xP) = v6 & sdtasdt0(xP, v3) = v4 & sdtasdt0(xP, xP) = v7 & sdtpldt0(all_0_10_10, 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_9_9)))
% 30.86/9.64 |
% 30.86/9.64 | Instantiating formula (51) with all_0_5_5, xP, xP and discharging atoms sdtpldt0(xP, xP) = all_0_5_5, yields:
% 30.86/9.64 | (125) ? [v0] : ? [v1] : ? [v2] : (aScalar0(all_0_5_5) = v2 & aScalar0(xP) = v1 & aScalar0(xP) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 30.86/9.64 |
% 30.86/9.64 | Instantiating formula (33) with all_0_1_1, all_0_3_3, all_0_5_5, xS, xP, xR, xP and discharging atoms sdtlseqdt0(all_0_5_5, all_0_3_3) = all_0_1_1, sdtpldt0(xP, xP) = all_0_5_5, sdtpldt0(xR, xS) = all_0_3_3, yields:
% 30.86/9.64 | (126) all_0_1_1 = 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)))
% 30.86/9.64 |
% 30.86/9.64 | Instantiating formula (51) with all_0_3_3, xS, xR and discharging atoms sdtpldt0(xR, xS) = all_0_3_3, yields:
% 30.86/9.64 | (127) ? [v0] : ? [v1] : ? [v2] : (aScalar0(all_0_3_3) = v2 & aScalar0(xS) = v1 & aScalar0(xR) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 30.86/9.64 |
% 30.86/9.64 | Instantiating (123) with all_18_0_29, all_18_1_30 yields:
% 30.86/9.64 | (128) sdtlseqdt0(sz0z00, all_0_8_8) = all_18_0_29 & aScalar0(xR) = all_18_1_30 & ( ~ (all_18_1_30 = 0) | all_18_0_29 = 0)
% 30.86/9.64 |
% 30.86/9.64 | Applying alpha-rule on (128) yields:
% 30.86/9.64 | (129) sdtlseqdt0(sz0z00, all_0_8_8) = all_18_0_29
% 30.86/9.64 | (130) aScalar0(xR) = all_18_1_30
% 30.86/9.64 | (131) ~ (all_18_1_30 = 0) | all_18_0_29 = 0
% 30.86/9.64 |
% 30.86/9.64 | Instantiating (118) with all_24_0_33, all_24_1_34, all_24_2_35 yields:
% 30.86/9.64 | (132) aScalar0(all_0_4_4) = all_24_0_33 & aScalar0(all_0_5_5) = all_24_1_34 & aScalar0(all_0_5_5) = all_24_2_35 & ( ~ (all_24_1_34 = 0) | ~ (all_24_2_35 = 0) | all_24_0_33 = 0)
% 30.86/9.64 |
% 30.86/9.64 | Applying alpha-rule on (132) yields:
% 30.86/9.64 | (133) aScalar0(all_0_4_4) = all_24_0_33
% 30.86/9.64 | (134) aScalar0(all_0_5_5) = all_24_1_34
% 30.86/9.64 | (135) aScalar0(all_0_5_5) = all_24_2_35
% 30.86/9.64 | (136) ~ (all_24_1_34 = 0) | ~ (all_24_2_35 = 0) | all_24_0_33 = 0
% 30.86/9.64 |
% 30.86/9.64 | Instantiating (115) with all_26_0_36, all_26_1_37, all_26_2_38 yields:
% 30.86/9.64 | (137) aScalar0(all_0_2_2) = all_26_0_36 & aScalar0(all_0_3_3) = all_26_1_37 & aScalar0(all_0_3_3) = all_26_2_38 & ( ~ (all_26_1_37 = 0) | ~ (all_26_2_38 = 0) | all_26_0_36 = 0)
% 30.86/9.64 |
% 30.86/9.64 | Applying alpha-rule on (137) yields:
% 30.86/9.64 | (138) aScalar0(all_0_2_2) = all_26_0_36
% 30.86/9.64 | (139) aScalar0(all_0_3_3) = all_26_1_37
% 30.86/9.64 | (140) aScalar0(all_0_3_3) = all_26_2_38
% 30.86/9.64 | (141) ~ (all_26_1_37 = 0) | ~ (all_26_2_38 = 0) | all_26_0_36 = 0
% 30.86/9.64 |
% 30.86/9.64 | Instantiating (125) with all_36_0_48, all_36_1_49, all_36_2_50 yields:
% 30.86/9.64 | (142) aScalar0(all_0_5_5) = all_36_0_48 & aScalar0(xP) = all_36_1_49 & aScalar0(xP) = all_36_2_50 & ( ~ (all_36_1_49 = 0) | ~ (all_36_2_50 = 0) | all_36_0_48 = 0)
% 30.86/9.64 |
% 30.86/9.64 | Applying alpha-rule on (142) yields:
% 30.86/9.64 | (143) aScalar0(all_0_5_5) = all_36_0_48
% 30.86/9.64 | (144) aScalar0(xP) = all_36_1_49
% 30.86/9.64 | (145) aScalar0(xP) = all_36_2_50
% 30.86/9.64 | (146) ~ (all_36_1_49 = 0) | ~ (all_36_2_50 = 0) | all_36_0_48 = 0
% 30.86/9.64 |
% 30.86/9.64 | Instantiating (122) with all_38_0_51, all_38_1_52, all_38_2_53 yields:
% 30.86/9.64 | (147) aScalar0(all_0_10_10) = all_38_0_51 & aScalar0(xP) = all_38_1_52 & aScalar0(xP) = all_38_2_53 & ( ~ (all_38_1_52 = 0) | ~ (all_38_2_53 = 0) | all_38_0_51 = 0)
% 30.86/9.64 |
% 30.86/9.64 | Applying alpha-rule on (147) yields:
% 30.86/9.64 | (148) aScalar0(all_0_10_10) = all_38_0_51
% 30.86/9.64 | (149) aScalar0(xP) = all_38_1_52
% 30.86/9.64 | (150) aScalar0(xP) = all_38_2_53
% 30.86/9.64 | (151) ~ (all_38_1_52 = 0) | ~ (all_38_2_53 = 0) | all_38_0_51 = 0
% 30.86/9.64 |
% 30.86/9.64 | Instantiating (121) with all_40_0_54, all_40_1_55 yields:
% 30.86/9.64 | (152) sdtlseqdt0(sz0z00, all_0_10_10) = all_40_0_54 & aScalar0(xP) = all_40_1_55 & ( ~ (all_40_1_55 = 0) | all_40_0_54 = 0)
% 30.86/9.64 |
% 30.86/9.64 | Applying alpha-rule on (152) yields:
% 30.86/9.64 | (153) sdtlseqdt0(sz0z00, all_0_10_10) = all_40_0_54
% 30.86/9.65 | (154) aScalar0(xP) = all_40_1_55
% 30.86/9.65 | (155) ~ (all_40_1_55 = 0) | all_40_0_54 = 0
% 30.86/9.65 |
% 30.86/9.65 | Instantiating (114) with all_50_0_67, all_50_1_68 yields:
% 30.86/9.65 | (156) sdtlseqdt0(sz0z00, all_0_2_2) = all_50_0_67 & aScalar0(all_0_3_3) = all_50_1_68 & ( ~ (all_50_1_68 = 0) | all_50_0_67 = 0)
% 30.86/9.65 |
% 30.86/9.65 | Applying alpha-rule on (156) yields:
% 30.86/9.65 | (157) sdtlseqdt0(sz0z00, all_0_2_2) = all_50_0_67
% 30.86/9.65 | (158) aScalar0(all_0_3_3) = all_50_1_68
% 30.86/9.65 | (159) ~ (all_50_1_68 = 0) | all_50_0_67 = 0
% 30.86/9.65 |
% 30.86/9.65 | Instantiating (117) with all_54_0_71, all_54_1_72 yields:
% 30.86/9.65 | (160) sdtlseqdt0(sz0z00, all_0_4_4) = all_54_0_71 & aScalar0(all_0_5_5) = all_54_1_72 & ( ~ (all_54_1_72 = 0) | all_54_0_71 = 0)
% 30.86/9.65 |
% 30.86/9.65 | Applying alpha-rule on (160) yields:
% 30.86/9.65 | (161) sdtlseqdt0(sz0z00, all_0_4_4) = all_54_0_71
% 30.86/9.65 | (162) aScalar0(all_0_5_5) = all_54_1_72
% 30.86/9.65 | (163) ~ (all_54_1_72 = 0) | all_54_0_71 = 0
% 30.86/9.65 |
% 30.86/9.65 | Instantiating (111) with all_56_0_73, all_56_1_74, all_56_2_75, all_56_3_76, all_56_4_77, all_56_5_78 yields:
% 30.86/9.65 | (164) sdtlseqdt0(sz0z00, all_56_1_74) = all_56_0_73 & sdtlseqdt0(sz0z00, all_56_3_76) = all_56_2_75 & sdtasdt0(all_0_3_3, all_0_5_5) = all_56_1_74 & sdtpldt0(all_0_3_3, all_0_5_5) = all_56_3_76 & aScalar0(all_0_3_3) = all_56_5_78 & aScalar0(all_0_5_5) = all_56_4_77 & ( ~ (all_56_4_77 = 0) | ~ (all_56_5_78 = 0) | (all_56_0_73 = 0 & all_56_2_75 = 0))
% 30.86/9.65 |
% 30.86/9.65 | Applying alpha-rule on (164) yields:
% 30.86/9.65 | (165) sdtpldt0(all_0_3_3, all_0_5_5) = all_56_3_76
% 30.86/9.65 | (166) aScalar0(all_0_5_5) = all_56_4_77
% 30.86/9.65 | (167) sdtlseqdt0(sz0z00, all_56_3_76) = all_56_2_75
% 30.86/9.65 | (168) sdtlseqdt0(sz0z00, all_56_1_74) = all_56_0_73
% 30.86/9.65 | (169) aScalar0(all_0_3_3) = all_56_5_78
% 30.86/9.65 | (170) sdtasdt0(all_0_3_3, all_0_5_5) = all_56_1_74
% 30.86/9.65 | (171) ~ (all_56_4_77 = 0) | ~ (all_56_5_78 = 0) | (all_56_0_73 = 0 & all_56_2_75 = 0)
% 30.86/9.65 |
% 30.86/9.65 | Instantiating (113) with all_58_0_79, all_58_1_80, all_58_2_81, all_58_3_82, all_58_4_83, all_58_5_84 yields:
% 30.86/9.65 | (172) sdtlseqdt0(sz0z00, all_58_1_80) = all_58_0_79 & sdtlseqdt0(sz0z00, all_58_3_82) = all_58_2_81 & sdtasdt0(all_0_5_5, all_0_5_5) = all_58_1_80 & sdtpldt0(all_0_5_5, all_0_5_5) = all_58_3_82 & aScalar0(all_0_5_5) = all_58_4_83 & aScalar0(all_0_5_5) = all_58_5_84 & ( ~ (all_58_4_83 = 0) | ~ (all_58_5_84 = 0) | (all_58_0_79 = 0 & all_58_2_81 = 0))
% 30.86/9.65 |
% 30.86/9.65 | Applying alpha-rule on (172) yields:
% 30.86/9.65 | (173) sdtlseqdt0(sz0z00, all_58_1_80) = all_58_0_79
% 30.86/9.65 | (174) sdtasdt0(all_0_5_5, all_0_5_5) = all_58_1_80
% 30.86/9.65 | (175) aScalar0(all_0_5_5) = all_58_4_83
% 30.86/9.65 | (176) sdtpldt0(all_0_5_5, all_0_5_5) = all_58_3_82
% 30.86/9.65 | (177) aScalar0(all_0_5_5) = all_58_5_84
% 30.86/9.65 | (178) sdtlseqdt0(sz0z00, all_58_3_82) = all_58_2_81
% 30.86/9.65 | (179) ~ (all_58_4_83 = 0) | ~ (all_58_5_84 = 0) | (all_58_0_79 = 0 & all_58_2_81 = 0)
% 30.86/9.65 |
% 30.86/9.65 | Instantiating (112) with all_60_0_85, all_60_1_86, all_60_2_87, all_60_3_88, all_60_4_89, all_60_5_90 yields:
% 30.86/9.65 | (180) sdtlseqdt0(sz0z00, all_60_1_86) = all_60_0_85 & sdtlseqdt0(sz0z00, all_60_3_88) = all_60_2_87 & sdtasdt0(all_0_5_5, all_0_3_3) = all_60_1_86 & sdtpldt0(all_0_5_5, all_0_3_3) = all_60_3_88 & aScalar0(all_0_3_3) = all_60_4_89 & aScalar0(all_0_5_5) = all_60_5_90 & ( ~ (all_60_4_89 = 0) | ~ (all_60_5_90 = 0) | (all_60_0_85 = 0 & all_60_2_87 = 0))
% 30.86/9.65 |
% 30.86/9.65 | Applying alpha-rule on (180) yields:
% 30.86/9.65 | (181) sdtlseqdt0(sz0z00, all_60_1_86) = all_60_0_85
% 30.86/9.65 | (182) aScalar0(all_0_5_5) = all_60_5_90
% 30.86/9.65 | (183) sdtpldt0(all_0_5_5, all_0_3_3) = all_60_3_88
% 30.86/9.65 | (184) sdtasdt0(all_0_5_5, all_0_3_3) = all_60_1_86
% 30.86/9.65 | (185) sdtlseqdt0(sz0z00, all_60_3_88) = all_60_2_87
% 30.86/9.65 | (186) aScalar0(all_0_3_3) = all_60_4_89
% 30.86/9.65 | (187) ~ (all_60_4_89 = 0) | ~ (all_60_5_90 = 0) | (all_60_0_85 = 0 & all_60_2_87 = 0)
% 30.86/9.65 |
% 30.86/9.65 | Instantiating (120) with all_64_0_93, all_64_1_94, all_64_2_95 yields:
% 30.86/9.65 | (188) aScalar0(all_0_7_7) = all_64_0_93 & aScalar0(xS) = all_64_1_94 & aScalar0(xS) = all_64_2_95 & ( ~ (all_64_1_94 = 0) | ~ (all_64_2_95 = 0) | all_64_0_93 = 0)
% 30.86/9.65 |
% 30.86/9.65 | Applying alpha-rule on (188) yields:
% 30.86/9.65 | (189) aScalar0(all_0_7_7) = all_64_0_93
% 30.86/9.65 | (190) aScalar0(xS) = all_64_1_94
% 30.86/9.65 | (191) aScalar0(xS) = all_64_2_95
% 30.86/9.65 | (192) ~ (all_64_1_94 = 0) | ~ (all_64_2_95 = 0) | all_64_0_93 = 0
% 30.86/9.65 |
% 30.86/9.65 | Instantiating (127) with all_66_0_96, all_66_1_97, all_66_2_98 yields:
% 30.86/9.65 | (193) aScalar0(all_0_3_3) = all_66_0_96 & aScalar0(xS) = all_66_1_97 & aScalar0(xR) = all_66_2_98 & ( ~ (all_66_1_97 = 0) | ~ (all_66_2_98 = 0) | all_66_0_96 = 0)
% 30.86/9.65 |
% 30.86/9.65 | Applying alpha-rule on (193) yields:
% 30.86/9.65 | (194) aScalar0(all_0_3_3) = all_66_0_96
% 30.86/9.65 | (195) aScalar0(xS) = all_66_1_97
% 30.86/9.65 | (196) aScalar0(xR) = all_66_2_98
% 30.86/9.65 | (197) ~ (all_66_1_97 = 0) | ~ (all_66_2_98 = 0) | all_66_0_96 = 0
% 30.86/9.65 |
% 30.86/9.65 | Instantiating (110) with all_72_0_107, all_72_1_108, all_72_2_109, all_72_3_110, all_72_4_111, all_72_5_112 yields:
% 30.86/9.65 | (198) sdtlseqdt0(sz0z00, all_72_1_108) = all_72_0_107 & sdtlseqdt0(sz0z00, all_72_3_110) = all_72_2_109 & sdtasdt0(all_0_3_3, all_0_3_3) = all_72_1_108 & sdtpldt0(all_0_3_3, all_0_3_3) = all_72_3_110 & aScalar0(all_0_3_3) = all_72_4_111 & aScalar0(all_0_3_3) = all_72_5_112 & ( ~ (all_72_4_111 = 0) | ~ (all_72_5_112 = 0) | (all_72_0_107 = 0 & all_72_2_109 = 0))
% 30.86/9.65 |
% 30.86/9.65 | Applying alpha-rule on (198) yields:
% 30.86/9.65 | (199) aScalar0(all_0_3_3) = all_72_5_112
% 30.86/9.65 | (200) ~ (all_72_4_111 = 0) | ~ (all_72_5_112 = 0) | (all_72_0_107 = 0 & all_72_2_109 = 0)
% 30.86/9.65 | (201) sdtpldt0(all_0_3_3, all_0_3_3) = all_72_3_110
% 30.86/9.65 | (202) aScalar0(all_0_3_3) = all_72_4_111
% 30.86/9.65 | (203) sdtasdt0(all_0_3_3, all_0_3_3) = all_72_1_108
% 30.86/9.65 | (204) sdtlseqdt0(sz0z00, all_72_1_108) = all_72_0_107
% 30.86/9.65 | (205) sdtlseqdt0(sz0z00, all_72_3_110) = all_72_2_109
% 30.86/9.65 |
% 30.86/9.65 | Instantiating (124) with all_78_0_125, all_78_1_126, all_78_2_127, all_78_3_128, all_78_4_129, all_78_5_130, all_78_6_131, all_78_7_132, all_78_8_133 yields:
% 30.86/9.65 | (206) sdtasdt0(all_78_3_128, xP) = all_78_2_127 & sdtasdt0(xP, all_78_5_130) = all_78_4_129 & sdtasdt0(xP, xP) = all_78_1_126 & sdtpldt0(all_0_10_10, all_78_1_126) = all_78_0_125 & sdtpldt0(xP, xP) = all_78_3_128 & sdtpldt0(xP, xP) = all_78_5_130 & aScalar0(xP) = all_78_6_131 & aScalar0(xP) = all_78_7_132 & aScalar0(xP) = all_78_8_133 & ( ~ (all_78_6_131 = 0) | ~ (all_78_7_132 = 0) | ~ (all_78_8_133 = 0) | (all_78_0_125 = all_78_2_127 & all_78_4_129 = all_0_9_9))
% 30.86/9.65 |
% 30.86/9.65 | Applying alpha-rule on (206) yields:
% 30.86/9.65 | (207) aScalar0(xP) = all_78_7_132
% 30.86/9.65 | (208) aScalar0(xP) = all_78_8_133
% 30.86/9.65 | (209) aScalar0(xP) = all_78_6_131
% 30.86/9.65 | (210) sdtasdt0(xP, all_78_5_130) = all_78_4_129
% 30.86/9.65 | (211) sdtasdt0(xP, xP) = all_78_1_126
% 30.86/9.65 | (212) sdtpldt0(xP, xP) = all_78_5_130
% 30.86/9.65 | (213) sdtpldt0(xP, xP) = all_78_3_128
% 30.86/9.65 | (214) sdtasdt0(all_78_3_128, xP) = all_78_2_127
% 30.86/9.65 | (215) sdtpldt0(all_0_10_10, all_78_1_126) = all_78_0_125
% 30.86/9.65 | (216) ~ (all_78_6_131 = 0) | ~ (all_78_7_132 = 0) | ~ (all_78_8_133 = 0) | (all_78_0_125 = all_78_2_127 & all_78_4_129 = all_0_9_9)
% 30.86/9.65 |
% 30.86/9.65 | Instantiating (119) with all_84_0_139, all_84_1_140 yields:
% 30.86/9.65 | (217) sdtlseqdt0(sz0z00, all_0_7_7) = all_84_0_139 & aScalar0(xS) = all_84_1_140 & ( ~ (all_84_1_140 = 0) | all_84_0_139 = 0)
% 30.86/9.65 |
% 30.86/9.65 | Applying alpha-rule on (217) yields:
% 30.86/9.65 | (218) sdtlseqdt0(sz0z00, all_0_7_7) = all_84_0_139
% 30.86/9.65 | (219) aScalar0(xS) = all_84_1_140
% 30.86/9.65 | (220) ~ (all_84_1_140 = 0) | all_84_0_139 = 0
% 30.86/9.65 |
% 30.86/9.65 +-Applying beta-rule and splitting (126), into two cases.
% 30.86/9.65 |-Branch one:
% 30.86/9.65 | (221) all_0_1_1 = 0
% 30.86/9.65 |
% 30.86/9.66 | Equations (221) can reduce 92 to:
% 30.86/9.66 | (222) $false
% 30.86/9.66 |
% 30.86/9.66 |-The branch is then unsatisfiable
% 30.86/9.66 |-Branch two:
% 30.86/9.66 | (92) ~ (all_0_1_1 = 0)
% 30.86/9.66 | (224) ? [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)))
% 30.86/9.66 |
% 30.86/9.66 | Instantiating (224) with all_94_0_146, all_94_1_147, all_94_2_148, all_94_3_149, all_94_4_150, all_94_5_151 yields:
% 30.86/9.66 | (225) sdtlseqdt0(xP, xS) = all_94_0_146 & sdtlseqdt0(xP, xR) = all_94_1_147 & aScalar0(xS) = all_94_2_148 & aScalar0(xP) = all_94_3_149 & aScalar0(xP) = all_94_5_151 & aScalar0(xR) = all_94_4_150 & ( ~ (all_94_0_146 = 0) | ~ (all_94_1_147 = 0) | ~ (all_94_2_148 = 0) | ~ (all_94_3_149 = 0) | ~ (all_94_4_150 = 0) | ~ (all_94_5_151 = 0))
% 30.86/9.66 |
% 30.86/9.66 | Applying alpha-rule on (225) yields:
% 30.86/9.66 | (226) sdtlseqdt0(xP, xS) = all_94_0_146
% 30.86/9.66 | (227) aScalar0(xP) = all_94_3_149
% 30.86/9.66 | (228) sdtlseqdt0(xP, xR) = all_94_1_147
% 30.86/9.66 | (229) aScalar0(xP) = all_94_5_151
% 30.86/9.66 | (230) aScalar0(xR) = all_94_4_150
% 30.86/9.66 | (231) ~ (all_94_0_146 = 0) | ~ (all_94_1_147 = 0) | ~ (all_94_2_148 = 0) | ~ (all_94_3_149 = 0) | ~ (all_94_4_150 = 0) | ~ (all_94_5_151 = 0)
% 30.86/9.66 | (232) aScalar0(xS) = all_94_2_148
% 30.86/9.66 |
% 30.86/9.66 | Instantiating formula (105) with all_0_3_3, all_72_5_112, all_72_4_111 and discharging atoms aScalar0(all_0_3_3) = all_72_4_111, aScalar0(all_0_3_3) = all_72_5_112, yields:
% 30.86/9.66 | (233) all_72_4_111 = all_72_5_112
% 30.86/9.66 |
% 30.86/9.66 | Instantiating formula (105) with all_0_3_3, all_66_0_96, all_72_5_112 and discharging atoms aScalar0(all_0_3_3) = all_72_5_112, aScalar0(all_0_3_3) = all_66_0_96, yields:
% 30.86/9.66 | (234) all_72_5_112 = all_66_0_96
% 30.86/9.66 |
% 30.86/9.66 | Instantiating formula (105) with all_0_3_3, all_60_4_89, all_66_0_96 and discharging atoms aScalar0(all_0_3_3) = all_66_0_96, aScalar0(all_0_3_3) = all_60_4_89, yields:
% 30.86/9.66 | (235) all_66_0_96 = all_60_4_89
% 30.86/9.66 |
% 30.86/9.66 | Instantiating formula (105) with all_0_3_3, all_56_5_78, all_60_4_89 and discharging atoms aScalar0(all_0_3_3) = all_60_4_89, aScalar0(all_0_3_3) = all_56_5_78, yields:
% 30.86/9.66 | (236) all_60_4_89 = all_56_5_78
% 30.86/9.66 |
% 30.86/9.66 | Instantiating formula (105) with all_0_3_3, all_50_1_68, all_56_5_78 and discharging atoms aScalar0(all_0_3_3) = all_56_5_78, aScalar0(all_0_3_3) = all_50_1_68, yields:
% 30.86/9.66 | (237) all_56_5_78 = all_50_1_68
% 30.86/9.66 |
% 30.86/9.66 | Instantiating formula (105) with all_0_3_3, all_26_1_37, all_50_1_68 and discharging atoms aScalar0(all_0_3_3) = all_50_1_68, aScalar0(all_0_3_3) = all_26_1_37, yields:
% 30.86/9.66 | (238) all_50_1_68 = all_26_1_37
% 30.86/9.66 |
% 30.86/9.66 | Instantiating formula (105) with all_0_3_3, all_26_2_38, all_72_4_111 and discharging atoms aScalar0(all_0_3_3) = all_72_4_111, aScalar0(all_0_3_3) = all_26_2_38, yields:
% 30.86/9.66 | (239) all_72_4_111 = all_26_2_38
% 30.86/9.66 |
% 30.86/9.66 | Instantiating formula (105) with all_0_5_5, all_58_4_83, all_60_5_90 and discharging atoms aScalar0(all_0_5_5) = all_60_5_90, aScalar0(all_0_5_5) = all_58_4_83, yields:
% 30.86/9.66 | (240) all_60_5_90 = all_58_4_83
% 30.86/9.66 |
% 30.86/9.66 | Instantiating formula (105) with all_0_5_5, all_58_5_84, all_60_5_90 and discharging atoms aScalar0(all_0_5_5) = all_60_5_90, aScalar0(all_0_5_5) = all_58_5_84, yields:
% 30.86/9.66 | (241) all_60_5_90 = all_58_5_84
% 30.86/9.66 |
% 30.86/9.66 | Instantiating formula (105) with all_0_5_5, all_56_4_77, all_60_5_90 and discharging atoms aScalar0(all_0_5_5) = all_60_5_90, aScalar0(all_0_5_5) = all_56_4_77, yields:
% 30.86/9.66 | (242) all_60_5_90 = all_56_4_77
% 30.86/9.66 |
% 30.86/9.66 | Instantiating formula (105) with all_0_5_5, all_54_1_72, all_58_4_83 and discharging atoms aScalar0(all_0_5_5) = all_58_4_83, aScalar0(all_0_5_5) = all_54_1_72, yields:
% 30.86/9.66 | (243) all_58_4_83 = all_54_1_72
% 30.86/9.66 |
% 30.86/9.66 | Instantiating formula (105) with all_0_5_5, all_36_0_48, all_56_4_77 and discharging atoms aScalar0(all_0_5_5) = all_56_4_77, aScalar0(all_0_5_5) = all_36_0_48, yields:
% 30.86/9.66 | (244) all_56_4_77 = all_36_0_48
% 30.86/9.66 |
% 30.86/9.66 | Instantiating formula (105) with all_0_5_5, all_24_1_34, all_60_5_90 and discharging atoms aScalar0(all_0_5_5) = all_60_5_90, aScalar0(all_0_5_5) = all_24_1_34, yields:
% 30.86/9.66 | (245) all_60_5_90 = all_24_1_34
% 30.86/9.66 |
% 30.86/9.66 | Instantiating formula (105) with all_0_5_5, all_24_2_35, all_60_5_90 and discharging atoms aScalar0(all_0_5_5) = all_60_5_90, aScalar0(all_0_5_5) = all_24_2_35, yields:
% 30.86/9.66 | (246) all_60_5_90 = all_24_2_35
% 30.86/9.66 |
% 30.86/9.66 | Instantiating formula (105) with xS, all_94_2_148, 0 and discharging atoms aScalar0(xS) = all_94_2_148, aScalar0(xS) = 0, yields:
% 30.86/9.66 | (247) all_94_2_148 = 0
% 30.86/9.66 |
% 30.86/9.66 | Instantiating formula (105) with xS, all_66_1_97, all_94_2_148 and discharging atoms aScalar0(xS) = all_94_2_148, aScalar0(xS) = all_66_1_97, yields:
% 30.86/9.66 | (248) all_94_2_148 = all_66_1_97
% 30.86/9.66 |
% 30.86/9.66 | Instantiating formula (105) with xS, all_66_1_97, all_84_1_140 and discharging atoms aScalar0(xS) = all_84_1_140, aScalar0(xS) = all_66_1_97, yields:
% 30.86/9.66 | (249) all_84_1_140 = all_66_1_97
% 30.86/9.66 |
% 30.86/9.66 | Instantiating formula (105) with xS, all_64_1_94, all_66_1_97 and discharging atoms aScalar0(xS) = all_66_1_97, aScalar0(xS) = all_64_1_94, yields:
% 30.86/9.66 | (250) all_66_1_97 = all_64_1_94
% 30.86/9.66 |
% 30.86/9.66 | Instantiating formula (105) with xS, all_64_2_95, all_84_1_140 and discharging atoms aScalar0(xS) = all_84_1_140, aScalar0(xS) = all_64_2_95, yields:
% 30.86/9.66 | (251) all_84_1_140 = all_64_2_95
% 30.86/9.66 |
% 30.86/9.66 | Instantiating formula (105) with xP, all_78_6_131, all_94_3_149 and discharging atoms aScalar0(xP) = all_94_3_149, aScalar0(xP) = all_78_6_131, yields:
% 30.86/9.66 | (252) all_94_3_149 = all_78_6_131
% 30.86/9.66 |
% 30.86/9.66 | Instantiating formula (105) with xP, all_78_7_132, all_94_5_151 and discharging atoms aScalar0(xP) = all_94_5_151, aScalar0(xP) = all_78_7_132, yields:
% 30.86/9.66 | (253) all_94_5_151 = all_78_7_132
% 30.86/9.66 |
% 30.86/9.66 | Instantiating formula (105) with xP, all_78_8_133, all_78_7_132 and discharging atoms aScalar0(xP) = all_78_7_132, aScalar0(xP) = all_78_8_133, yields:
% 30.86/9.66 | (254) all_78_7_132 = all_78_8_133
% 30.86/9.66 |
% 30.86/9.66 | Instantiating formula (105) with xP, all_40_1_55, all_78_6_131 and discharging atoms aScalar0(xP) = all_78_6_131, aScalar0(xP) = all_40_1_55, yields:
% 30.86/9.66 | (255) all_78_6_131 = all_40_1_55
% 30.86/9.66 |
% 30.86/9.66 | Instantiating formula (105) with xP, all_40_1_55, all_78_8_133 and discharging atoms aScalar0(xP) = all_78_8_133, aScalar0(xP) = all_40_1_55, yields:
% 30.86/9.66 | (256) all_78_8_133 = all_40_1_55
% 30.86/9.66 |
% 30.86/9.66 | Instantiating formula (105) with xP, all_38_1_52, 0 and discharging atoms aScalar0(xP) = all_38_1_52, aScalar0(xP) = 0, yields:
% 30.86/9.66 | (257) all_38_1_52 = 0
% 30.86/9.66 |
% 30.86/9.66 | Instantiating formula (105) with xP, all_38_1_52, all_78_8_133 and discharging atoms aScalar0(xP) = all_78_8_133, aScalar0(xP) = all_38_1_52, yields:
% 30.86/9.66 | (258) all_78_8_133 = all_38_1_52
% 30.86/9.66 |
% 30.86/9.66 | Instantiating formula (105) with xP, all_38_2_53, all_78_8_133 and discharging atoms aScalar0(xP) = all_78_8_133, aScalar0(xP) = all_38_2_53, yields:
% 30.86/9.66 | (259) all_78_8_133 = all_38_2_53
% 30.86/9.66 |
% 30.86/9.66 | Instantiating formula (105) with xP, all_36_1_49, all_94_5_151 and discharging atoms aScalar0(xP) = all_94_5_151, aScalar0(xP) = all_36_1_49, yields:
% 30.86/9.66 | (260) all_94_5_151 = all_36_1_49
% 30.86/9.66 |
% 30.86/9.66 | Instantiating formula (105) with xP, all_36_2_50, all_94_3_149 and discharging atoms aScalar0(xP) = all_94_3_149, aScalar0(xP) = all_36_2_50, yields:
% 30.86/9.66 | (261) all_94_3_149 = all_36_2_50
% 30.86/9.66 |
% 30.86/9.66 | Instantiating formula (105) with xR, all_66_2_98, 0 and discharging atoms aScalar0(xR) = all_66_2_98, aScalar0(xR) = 0, yields:
% 30.86/9.66 | (262) all_66_2_98 = 0
% 30.86/9.66 |
% 30.86/9.66 | Instantiating formula (105) with xR, all_66_2_98, all_94_4_150 and discharging atoms aScalar0(xR) = all_94_4_150, aScalar0(xR) = all_66_2_98, yields:
% 30.86/9.66 | (263) all_94_4_150 = all_66_2_98
% 30.86/9.66 |
% 30.86/9.66 | Instantiating formula (105) with xR, all_18_1_30, all_94_4_150 and discharging atoms aScalar0(xR) = all_94_4_150, aScalar0(xR) = all_18_1_30, yields:
% 30.86/9.66 | (264) all_94_4_150 = all_18_1_30
% 30.86/9.66 |
% 30.86/9.66 | Combining equations (248,247) yields a new equation:
% 30.86/9.66 | (265) all_66_1_97 = 0
% 30.86/9.66 |
% 30.86/9.66 | Simplifying 265 yields:
% 30.86/9.66 | (266) all_66_1_97 = 0
% 30.86/9.66 |
% 30.86/9.66 | Combining equations (252,261) yields a new equation:
% 30.86/9.66 | (267) all_78_6_131 = all_36_2_50
% 30.86/9.66 |
% 30.86/9.66 | Simplifying 267 yields:
% 30.86/9.66 | (268) all_78_6_131 = all_36_2_50
% 30.86/9.66 |
% 30.86/9.66 | Combining equations (263,264) yields a new equation:
% 30.86/9.66 | (269) all_66_2_98 = all_18_1_30
% 30.86/9.66 |
% 30.86/9.66 | Simplifying 269 yields:
% 30.86/9.66 | (270) all_66_2_98 = all_18_1_30
% 30.86/9.66 |
% 30.86/9.66 | Combining equations (253,260) yields a new equation:
% 30.86/9.66 | (271) all_78_7_132 = all_36_1_49
% 30.86/9.66 |
% 30.86/9.66 | Simplifying 271 yields:
% 30.86/9.66 | (272) all_78_7_132 = all_36_1_49
% 30.86/9.66 |
% 30.86/9.66 | Combining equations (249,251) yields a new equation:
% 30.86/9.66 | (273) all_66_1_97 = all_64_2_95
% 30.86/9.66 |
% 30.86/9.66 | Simplifying 273 yields:
% 30.86/9.66 | (274) all_66_1_97 = all_64_2_95
% 30.86/9.66 |
% 30.86/9.66 | Combining equations (255,268) yields a new equation:
% 30.86/9.66 | (275) all_40_1_55 = all_36_2_50
% 30.86/9.66 |
% 30.86/9.66 | Simplifying 275 yields:
% 30.86/9.66 | (276) all_40_1_55 = all_36_2_50
% 30.86/9.66 |
% 30.86/9.66 | Combining equations (254,272) yields a new equation:
% 30.86/9.66 | (277) all_78_8_133 = all_36_1_49
% 30.86/9.66 |
% 30.86/9.66 | Simplifying 277 yields:
% 30.86/9.66 | (278) all_78_8_133 = all_36_1_49
% 30.86/9.67 |
% 30.86/9.67 | Combining equations (258,259) yields a new equation:
% 30.86/9.67 | (279) all_38_1_52 = all_38_2_53
% 30.86/9.67 |
% 30.86/9.67 | Simplifying 279 yields:
% 30.86/9.67 | (280) all_38_1_52 = all_38_2_53
% 30.86/9.67 |
% 30.86/9.67 | Combining equations (256,259) yields a new equation:
% 30.86/9.67 | (281) all_40_1_55 = all_38_2_53
% 30.86/9.67 |
% 30.86/9.67 | Simplifying 281 yields:
% 30.86/9.67 | (282) all_40_1_55 = all_38_2_53
% 30.86/9.67 |
% 30.86/9.67 | Combining equations (278,259) yields a new equation:
% 30.86/9.67 | (283) all_38_2_53 = all_36_1_49
% 30.86/9.67 |
% 30.86/9.67 | Combining equations (233,239) yields a new equation:
% 30.86/9.67 | (284) all_72_5_112 = all_26_2_38
% 30.86/9.67 |
% 30.86/9.67 | Simplifying 284 yields:
% 30.86/9.67 | (285) all_72_5_112 = all_26_2_38
% 30.86/9.67 |
% 30.86/9.67 | Combining equations (234,285) yields a new equation:
% 30.86/9.67 | (286) all_66_0_96 = all_26_2_38
% 30.86/9.67 |
% 30.86/9.67 | Simplifying 286 yields:
% 30.86/9.67 | (287) all_66_0_96 = all_26_2_38
% 30.86/9.67 |
% 30.86/9.67 | Combining equations (235,287) yields a new equation:
% 30.86/9.67 | (288) all_60_4_89 = all_26_2_38
% 30.86/9.67 |
% 30.86/9.67 | Simplifying 288 yields:
% 30.86/9.67 | (289) all_60_4_89 = all_26_2_38
% 30.86/9.67 |
% 30.86/9.67 | Combining equations (266,250) yields a new equation:
% 30.86/9.67 | (290) all_64_1_94 = 0
% 30.86/9.67 |
% 30.86/9.67 | Combining equations (274,250) yields a new equation:
% 30.86/9.67 | (291) all_64_1_94 = all_64_2_95
% 30.86/9.67 |
% 30.86/9.67 | Combining equations (262,270) yields a new equation:
% 30.86/9.67 | (292) all_18_1_30 = 0
% 30.86/9.67 |
% 30.86/9.67 | Combining equations (290,291) yields a new equation:
% 30.86/9.67 | (293) all_64_2_95 = 0
% 30.86/9.67 |
% 30.86/9.67 | Combining equations (236,289) yields a new equation:
% 30.86/9.67 | (294) all_56_5_78 = all_26_2_38
% 30.86/9.67 |
% 30.86/9.67 | Simplifying 294 yields:
% 30.86/9.67 | (295) all_56_5_78 = all_26_2_38
% 30.86/9.67 |
% 30.86/9.67 | Combining equations (242,241) yields a new equation:
% 30.86/9.67 | (296) all_58_5_84 = all_56_4_77
% 30.86/9.67 |
% 30.86/9.67 | Combining equations (246,241) yields a new equation:
% 30.86/9.67 | (297) all_58_5_84 = all_24_2_35
% 30.86/9.67 |
% 30.86/9.67 | Combining equations (245,241) yields a new equation:
% 30.86/9.67 | (298) all_58_5_84 = all_24_1_34
% 30.86/9.67 |
% 30.86/9.67 | Combining equations (240,241) yields a new equation:
% 30.86/9.67 | (299) all_58_4_83 = all_58_5_84
% 30.86/9.67 |
% 30.86/9.67 | Simplifying 299 yields:
% 30.86/9.67 | (300) all_58_4_83 = all_58_5_84
% 30.86/9.67 |
% 30.86/9.67 | Combining equations (300,243) yields a new equation:
% 30.86/9.67 | (301) all_58_5_84 = all_54_1_72
% 30.86/9.67 |
% 30.86/9.67 | Simplifying 301 yields:
% 30.86/9.67 | (302) all_58_5_84 = all_54_1_72
% 30.86/9.67 |
% 30.86/9.67 | Combining equations (297,302) yields a new equation:
% 30.86/9.67 | (303) all_54_1_72 = all_24_2_35
% 30.86/9.67 |
% 30.86/9.67 | Combining equations (298,302) yields a new equation:
% 30.86/9.67 | (304) all_54_1_72 = all_24_1_34
% 30.86/9.67 |
% 30.86/9.67 | Combining equations (296,302) yields a new equation:
% 30.86/9.67 | (305) all_56_4_77 = all_54_1_72
% 30.86/9.67 |
% 30.86/9.67 | Simplifying 305 yields:
% 30.86/9.67 | (306) all_56_4_77 = all_54_1_72
% 30.86/9.67 |
% 30.86/9.67 | Combining equations (306,244) yields a new equation:
% 30.86/9.67 | (307) all_54_1_72 = all_36_0_48
% 30.86/9.67 |
% 30.86/9.67 | Simplifying 307 yields:
% 30.86/9.67 | (308) all_54_1_72 = all_36_0_48
% 30.86/9.67 |
% 30.86/9.67 | Combining equations (237,295) yields a new equation:
% 30.86/9.67 | (309) all_50_1_68 = all_26_2_38
% 30.86/9.67 |
% 30.86/9.67 | Simplifying 309 yields:
% 30.86/9.67 | (310) all_50_1_68 = all_26_2_38
% 30.86/9.67 |
% 30.86/9.67 | Combining equations (303,308) yields a new equation:
% 30.86/9.67 | (311) all_36_0_48 = all_24_2_35
% 30.86/9.67 |
% 30.86/9.67 | Combining equations (304,308) yields a new equation:
% 30.86/9.67 | (312) all_36_0_48 = all_24_1_34
% 30.86/9.67 |
% 30.86/9.67 | Combining equations (310,238) yields a new equation:
% 30.86/9.67 | (313) all_26_1_37 = all_26_2_38
% 30.86/9.67 |
% 30.86/9.67 | Combining equations (282,276) yields a new equation:
% 30.86/9.67 | (314) all_38_2_53 = all_36_2_50
% 30.86/9.67 |
% 30.86/9.67 | Simplifying 314 yields:
% 30.86/9.67 | (315) all_38_2_53 = all_36_2_50
% 30.86/9.67 |
% 30.86/9.67 | Combining equations (280,257) yields a new equation:
% 30.86/9.67 | (316) all_38_2_53 = 0
% 30.86/9.67 |
% 30.86/9.67 | Simplifying 316 yields:
% 30.86/9.67 | (317) all_38_2_53 = 0
% 30.86/9.67 |
% 30.86/9.67 | Combining equations (317,283) yields a new equation:
% 30.86/9.67 | (318) all_36_1_49 = 0
% 30.86/9.67 |
% 30.86/9.67 | Combining equations (315,283) yields a new equation:
% 30.86/9.67 | (319) all_36_1_49 = all_36_2_50
% 30.86/9.67 |
% 30.86/9.67 | Combining equations (311,312) yields a new equation:
% 30.86/9.67 | (320) all_24_1_34 = all_24_2_35
% 30.86/9.67 |
% 30.86/9.67 | Combining equations (319,318) yields a new equation:
% 30.86/9.67 | (321) all_36_2_50 = 0
% 30.86/9.67 |
% 30.86/9.67 | Simplifying 321 yields:
% 30.86/9.67 | (322) all_36_2_50 = 0
% 30.86/9.67 |
% 30.86/9.67 | Combining equations (320,312) yields a new equation:
% 30.86/9.67 | (311) all_36_0_48 = all_24_2_35
% 30.86/9.67 |
% 30.86/9.67 | Combining equations (293,291) yields a new equation:
% 30.86/9.67 | (290) all_64_1_94 = 0
% 30.86/9.67 |
% 30.86/9.67 | Combining equations (292,270) yields a new equation:
% 30.86/9.67 | (262) all_66_2_98 = 0
% 30.86/9.67 |
% 30.86/9.67 | Combining equations (290,250) yields a new equation:
% 30.86/9.67 | (266) all_66_1_97 = 0
% 30.86/9.67 |
% 30.86/9.67 | From (313) and (139) follows:
% 30.86/9.67 | (140) aScalar0(all_0_3_3) = all_26_2_38
% 30.86/9.67 |
% 30.86/9.67 | From (320) and (134) follows:
% 30.86/9.67 | (135) aScalar0(all_0_5_5) = all_24_2_35
% 30.86/9.67 |
% 30.86/9.67 +-Applying beta-rule and splitting (146), into two cases.
% 30.86/9.67 |-Branch one:
% 30.86/9.67 | (329) ~ (all_36_1_49 = 0)
% 30.86/9.67 |
% 30.86/9.67 | Equations (318) can reduce 329 to:
% 30.86/9.67 | (222) $false
% 30.86/9.67 |
% 30.86/9.67 |-The branch is then unsatisfiable
% 30.86/9.67 |-Branch two:
% 30.86/9.67 | (318) all_36_1_49 = 0
% 30.86/9.67 | (332) ~ (all_36_2_50 = 0) | all_36_0_48 = 0
% 30.86/9.67 |
% 30.86/9.67 +-Applying beta-rule and splitting (197), into two cases.
% 30.86/9.67 |-Branch one:
% 30.86/9.67 | (333) ~ (all_66_1_97 = 0)
% 30.86/9.67 |
% 30.86/9.67 | Equations (266) can reduce 333 to:
% 30.86/9.67 | (222) $false
% 30.86/9.67 |
% 30.86/9.67 |-The branch is then unsatisfiable
% 30.86/9.67 |-Branch two:
% 30.86/9.67 | (266) all_66_1_97 = 0
% 30.86/9.67 | (336) ~ (all_66_2_98 = 0) | all_66_0_96 = 0
% 30.86/9.67 |
% 30.86/9.67 +-Applying beta-rule and splitting (336), into two cases.
% 30.86/9.67 |-Branch one:
% 30.86/9.67 | (337) ~ (all_66_2_98 = 0)
% 30.86/9.67 |
% 30.86/9.67 | Equations (262) can reduce 337 to:
% 30.86/9.67 | (222) $false
% 30.86/9.67 |
% 30.86/9.67 |-The branch is then unsatisfiable
% 30.86/9.67 |-Branch two:
% 30.86/9.67 | (262) all_66_2_98 = 0
% 30.86/9.67 | (340) all_66_0_96 = 0
% 30.86/9.67 |
% 30.86/9.67 | Combining equations (340,287) yields a new equation:
% 30.86/9.67 | (341) all_26_2_38 = 0
% 30.86/9.67 |
% 30.86/9.67 | From (341) and (140) follows:
% 30.86/9.67 | (342) aScalar0(all_0_3_3) = 0
% 30.86/9.67 |
% 30.86/9.67 +-Applying beta-rule and splitting (116), into two cases.
% 30.86/9.67 |-Branch one:
% 30.86/9.67 | (343) all_0_0_0 = 0
% 30.86/9.67 |
% 30.86/9.67 | Equations (343) can reduce 96 to:
% 30.86/9.67 | (222) $false
% 30.86/9.67 |
% 30.86/9.67 |-The branch is then unsatisfiable
% 30.86/9.67 |-Branch two:
% 30.86/9.67 | (96) ~ (all_0_0_0 = 0)
% 30.86/9.67 | (346) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (sdtlseqdt0(all_0_3_3, all_0_5_5) = v6 & sdtlseqdt0(all_0_3_3, all_0_5_5) = v4 & sdtlseqdt0(sz0z00, all_0_3_3) = v5 & aScalar0(all_0_3_3) = v2 & aScalar0(all_0_3_3) = v0 & aScalar0(all_0_5_5) = v3 & aScalar0(all_0_5_5) = v1 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 30.86/9.67 |
% 30.86/9.67 | Instantiating (346) with all_250_0_158, all_250_1_159, all_250_2_160, all_250_3_161, all_250_4_162, all_250_5_163, all_250_6_164 yields:
% 30.86/9.67 | (347) sdtlseqdt0(all_0_3_3, all_0_5_5) = all_250_0_158 & sdtlseqdt0(all_0_3_3, all_0_5_5) = all_250_2_160 & sdtlseqdt0(sz0z00, all_0_3_3) = all_250_1_159 & aScalar0(all_0_3_3) = all_250_4_162 & aScalar0(all_0_3_3) = all_250_6_164 & aScalar0(all_0_5_5) = all_250_3_161 & aScalar0(all_0_5_5) = all_250_5_163 & ( ~ (all_250_0_158 = 0) | ~ (all_250_1_159 = 0) | ~ (all_250_2_160 = 0) | ~ (all_250_3_161 = 0) | ~ (all_250_4_162 = 0) | ~ (all_250_5_163 = 0) | ~ (all_250_6_164 = 0))
% 30.86/9.67 |
% 30.86/9.67 | Applying alpha-rule on (347) yields:
% 30.86/9.67 | (348) sdtlseqdt0(all_0_3_3, all_0_5_5) = all_250_0_158
% 30.86/9.67 | (349) aScalar0(all_0_3_3) = all_250_4_162
% 30.86/9.67 | (350) aScalar0(all_0_5_5) = all_250_3_161
% 30.86/9.67 | (351) ~ (all_250_0_158 = 0) | ~ (all_250_1_159 = 0) | ~ (all_250_2_160 = 0) | ~ (all_250_3_161 = 0) | ~ (all_250_4_162 = 0) | ~ (all_250_5_163 = 0) | ~ (all_250_6_164 = 0)
% 30.86/9.67 | (352) aScalar0(all_0_3_3) = all_250_6_164
% 30.86/9.67 | (353) aScalar0(all_0_5_5) = all_250_5_163
% 30.86/9.67 | (354) sdtlseqdt0(all_0_3_3, all_0_5_5) = all_250_2_160
% 30.86/9.67 | (355) sdtlseqdt0(sz0z00, all_0_3_3) = all_250_1_159
% 30.86/9.67 |
% 30.86/9.67 +-Applying beta-rule and splitting (332), into two cases.
% 30.86/9.67 |-Branch one:
% 30.86/9.67 | (356) ~ (all_36_2_50 = 0)
% 30.86/9.67 |
% 30.86/9.67 | Equations (322) can reduce 356 to:
% 30.86/9.67 | (222) $false
% 30.86/9.67 |
% 30.86/9.67 |-The branch is then unsatisfiable
% 30.86/9.67 |-Branch two:
% 30.86/9.67 | (322) all_36_2_50 = 0
% 30.86/9.67 | (359) all_36_0_48 = 0
% 30.86/9.67 |
% 30.86/9.67 | Combining equations (311,359) yields a new equation:
% 30.86/9.67 | (360) all_24_2_35 = 0
% 30.86/9.67 |
% 30.86/9.67 | Simplifying 360 yields:
% 30.86/9.67 | (361) all_24_2_35 = 0
% 30.86/9.67 |
% 30.86/9.67 | From (361) and (135) follows:
% 30.86/9.67 | (362) aScalar0(all_0_5_5) = 0
% 30.86/9.67 |
% 30.86/9.67 | Instantiating formula (57) with all_0_3_3, all_0_5_5, all_250_0_158, 0 and discharging atoms sdtlseqdt0(all_0_3_3, all_0_5_5) = all_250_0_158, sdtlseqdt0(all_0_3_3, all_0_5_5) = 0, yields:
% 30.86/9.68 | (363) all_250_0_158 = 0
% 30.86/9.68 |
% 30.86/9.68 | Instantiating formula (57) with all_0_3_3, all_0_5_5, all_250_2_160, all_250_0_158 and discharging atoms sdtlseqdt0(all_0_3_3, all_0_5_5) = all_250_0_158, sdtlseqdt0(all_0_3_3, all_0_5_5) = all_250_2_160, yields:
% 30.86/9.68 | (364) all_250_0_158 = all_250_2_160
% 30.86/9.68 |
% 30.86/9.68 | Instantiating formula (57) with sz0z00, all_0_3_3, all_250_1_159, 0 and discharging atoms sdtlseqdt0(sz0z00, all_0_3_3) = all_250_1_159, sdtlseqdt0(sz0z00, all_0_3_3) = 0, yields:
% 30.86/9.68 | (365) all_250_1_159 = 0
% 30.86/9.68 |
% 30.86/9.68 | Instantiating formula (105) with all_0_3_3, all_250_4_162, 0 and discharging atoms aScalar0(all_0_3_3) = all_250_4_162, aScalar0(all_0_3_3) = 0, yields:
% 30.86/9.68 | (366) all_250_4_162 = 0
% 30.86/9.68 |
% 30.86/9.68 | Instantiating formula (105) with all_0_3_3, all_250_6_164, all_250_4_162 and discharging atoms aScalar0(all_0_3_3) = all_250_4_162, aScalar0(all_0_3_3) = all_250_6_164, yields:
% 30.86/9.68 | (367) all_250_4_162 = all_250_6_164
% 30.86/9.68 |
% 30.86/9.68 | Instantiating formula (105) with all_0_5_5, all_250_3_161, 0 and discharging atoms aScalar0(all_0_5_5) = all_250_3_161, aScalar0(all_0_5_5) = 0, yields:
% 30.86/9.68 | (368) all_250_3_161 = 0
% 30.86/9.68 |
% 30.86/9.68 | Instantiating formula (105) with all_0_5_5, all_250_5_163, all_250_3_161 and discharging atoms aScalar0(all_0_5_5) = all_250_3_161, aScalar0(all_0_5_5) = all_250_5_163, yields:
% 30.86/9.68 | (369) all_250_3_161 = all_250_5_163
% 30.86/9.68 |
% 30.86/9.68 | Combining equations (363,364) yields a new equation:
% 30.86/9.68 | (370) all_250_2_160 = 0
% 30.86/9.68 |
% 30.86/9.68 | Combining equations (368,369) yields a new equation:
% 30.86/9.68 | (371) all_250_5_163 = 0
% 30.86/9.68 |
% 30.86/9.68 | Combining equations (366,367) yields a new equation:
% 30.86/9.68 | (372) all_250_6_164 = 0
% 30.86/9.68 |
% 30.86/9.68 | Combining equations (372,367) yields a new equation:
% 30.86/9.68 | (366) all_250_4_162 = 0
% 30.86/9.68 |
% 30.86/9.68 | Combining equations (371,369) yields a new equation:
% 30.86/9.68 | (368) all_250_3_161 = 0
% 30.86/9.68 |
% 30.86/9.68 | Combining equations (370,364) yields a new equation:
% 30.86/9.68 | (363) all_250_0_158 = 0
% 30.86/9.68 |
% 30.86/9.68 +-Applying beta-rule and splitting (351), into two cases.
% 30.86/9.68 |-Branch one:
% 30.86/9.68 | (376) ~ (all_250_0_158 = 0)
% 30.86/9.68 |
% 30.86/9.68 | Equations (363) can reduce 376 to:
% 30.86/9.68 | (222) $false
% 30.86/9.68 |
% 30.86/9.68 |-The branch is then unsatisfiable
% 30.86/9.68 |-Branch two:
% 30.86/9.68 | (363) all_250_0_158 = 0
% 30.86/9.68 | (379) ~ (all_250_1_159 = 0) | ~ (all_250_2_160 = 0) | ~ (all_250_3_161 = 0) | ~ (all_250_4_162 = 0) | ~ (all_250_5_163 = 0) | ~ (all_250_6_164 = 0)
% 30.86/9.68 |
% 30.86/9.68 +-Applying beta-rule and splitting (379), into two cases.
% 30.86/9.68 |-Branch one:
% 30.86/9.68 | (380) ~ (all_250_1_159 = 0)
% 30.86/9.68 |
% 30.86/9.68 | Equations (365) can reduce 380 to:
% 30.86/9.68 | (222) $false
% 30.86/9.68 |
% 30.86/9.68 |-The branch is then unsatisfiable
% 30.86/9.68 |-Branch two:
% 30.86/9.68 | (365) all_250_1_159 = 0
% 30.86/9.68 | (383) ~ (all_250_2_160 = 0) | ~ (all_250_3_161 = 0) | ~ (all_250_4_162 = 0) | ~ (all_250_5_163 = 0) | ~ (all_250_6_164 = 0)
% 30.86/9.68 |
% 30.86/9.68 +-Applying beta-rule and splitting (383), into two cases.
% 30.86/9.68 |-Branch one:
% 30.86/9.68 | (384) ~ (all_250_2_160 = 0)
% 30.86/9.68 |
% 30.86/9.68 | Equations (370) can reduce 384 to:
% 30.86/9.68 | (222) $false
% 30.86/9.68 |
% 30.86/9.68 |-The branch is then unsatisfiable
% 30.86/9.68 |-Branch two:
% 30.86/9.68 | (370) all_250_2_160 = 0
% 30.86/9.68 | (387) ~ (all_250_3_161 = 0) | ~ (all_250_4_162 = 0) | ~ (all_250_5_163 = 0) | ~ (all_250_6_164 = 0)
% 30.86/9.68 |
% 30.86/9.68 +-Applying beta-rule and splitting (387), into two cases.
% 30.86/9.68 |-Branch one:
% 30.86/9.68 | (388) ~ (all_250_3_161 = 0)
% 30.86/9.68 |
% 30.86/9.68 | Equations (368) can reduce 388 to:
% 30.86/9.68 | (222) $false
% 30.86/9.68 |
% 30.86/9.68 |-The branch is then unsatisfiable
% 30.86/9.68 |-Branch two:
% 30.86/9.68 | (368) all_250_3_161 = 0
% 30.86/9.68 | (391) ~ (all_250_4_162 = 0) | ~ (all_250_5_163 = 0) | ~ (all_250_6_164 = 0)
% 30.86/9.68 |
% 30.86/9.68 +-Applying beta-rule and splitting (391), into two cases.
% 30.86/9.68 |-Branch one:
% 30.86/9.68 | (392) ~ (all_250_4_162 = 0)
% 30.86/9.68 |
% 30.86/9.68 | Equations (366) can reduce 392 to:
% 30.86/9.68 | (222) $false
% 30.86/9.68 |
% 30.86/9.68 |-The branch is then unsatisfiable
% 30.86/9.68 |-Branch two:
% 30.86/9.68 | (366) all_250_4_162 = 0
% 30.86/9.68 | (395) ~ (all_250_5_163 = 0) | ~ (all_250_6_164 = 0)
% 30.86/9.68 |
% 30.86/9.68 +-Applying beta-rule and splitting (395), into two cases.
% 30.86/9.68 |-Branch one:
% 30.86/9.68 | (396) ~ (all_250_5_163 = 0)
% 30.86/9.68 |
% 30.86/9.68 | Equations (371) can reduce 396 to:
% 30.86/9.68 | (222) $false
% 30.86/9.68 |
% 30.86/9.68 |-The branch is then unsatisfiable
% 30.86/9.68 |-Branch two:
% 30.86/9.68 | (371) all_250_5_163 = 0
% 30.86/9.68 | (399) ~ (all_250_6_164 = 0)
% 30.86/9.68 |
% 30.86/9.68 | Equations (372) can reduce 399 to:
% 30.86/9.68 | (222) $false
% 30.86/9.68 |
% 30.86/9.68 |-The branch is then unsatisfiable
% 30.86/9.68 % SZS output end Proof for theBenchmark
% 30.86/9.68
% 30.86/9.68 9098ms
%------------------------------------------------------------------------------