TSTP Solution File: RNG070+2 by ePrincess---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : RNG070+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 20:25:15 EDT 2022
% Result : Theorem 16.41s 6.37s
% Output : Proof 27.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : RNG070+2 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon May 30 08:40:01 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.56/0.59 ____ _
% 0.56/0.59 ___ / __ \_____(_)___ ________ __________
% 0.56/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.56/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.56/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.56/0.59
% 0.56/0.59 A Theorem Prover for First-Order Logic
% 0.56/0.59 (ePrincess v.1.0)
% 0.56/0.59
% 0.56/0.59 (c) Philipp Rümmer, 2009-2015
% 0.56/0.59 (c) Peter Backeman, 2014-2015
% 0.56/0.59 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.56/0.59 Free software under GNU Lesser General Public License (LGPL).
% 0.56/0.59 Bug reports to peter@backeman.se
% 0.56/0.59
% 0.56/0.59 For more information, visit http://user.uu.se/~petba168/breu/
% 0.56/0.59
% 0.56/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.72/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.97/1.02 Prover 0: Preprocessing ...
% 3.91/1.55 Prover 0: Constructing countermodel ...
% 14.39/5.94 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 14.59/6.06 Prover 1: Preprocessing ...
% 15.36/6.19 Prover 1: Constructing countermodel ...
% 16.41/6.37 Prover 1: proved (433ms)
% 16.41/6.37 Prover 0: stopped
% 16.41/6.37
% 16.41/6.37 No countermodel exists, formula is valid
% 16.41/6.37 % SZS status Theorem for theBenchmark
% 16.41/6.37
% 16.41/6.37 Generating proof ... found it (size 177)
% 26.98/8.94
% 26.98/8.94 % SZS output start Proof for theBenchmark
% 26.98/8.94 Assumed formulas after preprocessing and simplification:
% 26.98/8.94 | (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(v13, v11) = v16 & sdtlseqdt0(v12, v14) = 0 & sdtlseqdt0(v11, v13) = v15 & sdtlseqdt0(v7, v10) = 0 & sdtlseqdt0(v6, xN) = 0 & sdtlseqdt0(v4, v5) = 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)))
% 27.40/9.00 | 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:
% 27.40/9.00 | (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_3_3, all_0_5_5) = all_0_0_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 & 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))
% 27.54/9.01 |
% 27.54/9.01 | Applying alpha-rule on (1) yields:
% 27.54/9.01 | (2) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (iLess0(v3, v2) = v1) | ~ (iLess0(v3, v2) = v0))
% 27.54/9.01 | (3) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (szszuzczcdt0(v1) = v2) | ~ (szszuzczcdt0(v0) = v2) | ? [v3] : ? [v4] : (aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0))))
% 27.54/9.02 | (4) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtasdt0(v3, v2) = v1) | ~ (sdtasdt0(v3, v2) = v0))
% 27.54/9.02 | (5) ! [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))))
% 27.54/9.02 | (6) smndt0(sz0z00) = all_0_16_16
% 27.54/9.02 | (7) aScalar0(xC) = 0
% 27.54/9.02 | (8) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0))
% 27.54/9.02 | (9) ! [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)))
% 27.54/9.02 | (10) ! [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)))
% 27.54/9.02 | (11) aNaturalNumber0(sz00) = 0
% 27.54/9.02 | (12) sdtasdt0(xB, xB) = xG
% 27.54/9.02 | (13) ~ (all_0_1_1 = 0)
% 27.54/9.02 | (14) aScalar0(xP) = 0
% 27.54/9.02 | (15) ! [v0] : ! [v1] : ( ~ (szszuzczcdt0(v0) = v1) | ? [v2] : ? [v3] : (aNaturalNumber0(v1) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v2 = 0) | (v3 = 0 & ~ (v1 = sz00)))))
% 27.54/9.02 | (16) ! [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)))
% 27.54/9.02 | (17) ! [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))))
% 27.54/9.02 | (18) sdtlseqdt0(all_0_5_5, all_0_3_3) = all_0_1_1
% 27.54/9.02 | (19) ! [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))))
% 27.54/9.02 | (20) aScalar0(xR) = 0
% 27.54/9.02 | (21) ! [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)))
% 27.54/9.02 | (22) aDimensionOf0(xp) = all_0_14_14
% 27.54/9.02 | (23) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (iLess0(v0, v1) = v2) | ~ (szszuzczcdt0(v0) = v1) | ? [v3] : ( ~ (v3 = 0) & aNaturalNumber0(v0) = v3))
% 27.54/9.02 | (24) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (szszuzczcdt0(v2) = v1) | ~ (szszuzczcdt0(v2) = v0))
% 27.54/9.02 | (25) aScalar0(xE) = 0
% 27.54/9.02 | (26) sdtasasdt0(xp, xp) = xC
% 27.54/9.02 | (27) ! [v0] : ! [v1] : ( ~ (smndt0(v0) = v1) | ? [v2] : ? [v3] : (aScalar0(v1) = v3 & aScalar0(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 27.54/9.02 | (28) ! [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))))
% 27.54/9.02 | (29) ! [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))))
% 27.54/9.02 | (30) ! [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)))
% 27.54/9.02 | (31) sdtpldt0(xR, xS) = all_0_3_3
% 27.54/9.02 | (32) sdtpldt0(xP, xP) = all_0_5_5
% 27.54/9.02 | (33) ! [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)))
% 27.54/9.02 | (34) szszuzczcdt0(all_0_13_13) = all_0_15_15
% 27.54/9.02 | (35) ~ (all_0_15_15 = sz00)
% 27.54/9.02 | (36) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aNaturalNumber0(v2) = v1) | ~ (aNaturalNumber0(v2) = v0))
% 27.54/9.02 | (37) ! [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))))))
% 27.54/9.02 | (38) ! [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))))
% 27.54/9.02 | (39) sdtasdt0(xE, xH) = xP
% 27.54/9.02 | (40) sdtasdt0(xC, xG) = xR
% 27.54/9.03 | (41) ! [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))))
% 27.54/9.03 | (42) sdtasdt0(xE, xE) = all_0_12_12
% 27.54/9.03 | (43) sdtasasdt0(xq, xq) = xD
% 27.65/9.03 | (44) aScalar0(xG) = 0
% 27.65/9.03 | (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_16_16 = sz0z00))))
% 27.65/9.03 | (46) aScalar0(xB) = 0
% 27.65/9.03 | (47) sziznziztdt0(xt) = xq
% 27.65/9.03 | (48) ! [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)))
% 27.65/9.03 | (49) ! [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))))
% 27.65/9.03 | (50) szszuzczcdt0(all_0_14_14) = all_0_15_15
% 27.65/9.03 | (51) ! [v0] : ( ~ (aVector0(v0) = 0) | ? [v1] : (aDimensionOf0(v0) = v1 & aNaturalNumber0(v1) = 0))
% 27.65/9.03 | (52) aDimensionOf0(xs) = all_0_15_15
% 27.65/9.03 | (53) sdtasdt0(xR, xS) = xN
% 27.65/9.03 | (54) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtasasdt0(v3, v2) = v1) | ~ (sdtasasdt0(v3, v2) = v0))
% 27.65/9.03 | (55) ~ (all_0_0_0 = 0)
% 27.65/9.03 | (56) ! [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))))
% 27.65/9.03 | (57) aScalar0(xA) = 0
% 27.65/9.03 | (58) aVector0(xt) = 0
% 27.65/9.03 | (59) sdtlbdtrb0(xs, all_0_15_15) = xA
% 27.65/9.03 | (60) sdtasdt0(xA, xA) = xF
% 27.65/9.03 | (61) sdtasdt0(all_0_5_5, all_0_5_5) = all_0_4_4
% 27.65/9.03 | (62) aScalar0(xS) = 0
% 27.65/9.03 | (63) aScalar0(sz0z00) = 0
% 27.65/9.03 | (64) aDimensionOf0(xt) = all_0_15_15
% 27.65/9.03 | (65) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aDimensionOf0(v2) = v1) | ~ (aDimensionOf0(v2) = v0))
% 27.65/9.03 | (66) sdtasdt0(xS, xS) = all_0_7_7
% 27.65/9.03 | (67) aDimensionOf0(xq) = all_0_13_13
% 27.65/9.03 | (68) sdtasdt0(all_0_3_3, all_0_3_3) = all_0_2_2
% 27.65/9.03 | (69) ! [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)))
% 27.65/9.03 | (70) aScalar0(xF) = 0
% 27.65/9.03 | (71) aVector0(xq) = 0
% 27.65/9.03 | (72) sdtlseqdt0(all_0_10_10, xN) = 0
% 27.65/9.03 | (73) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtlbdtrb0(v3, v2) = v1) | ~ (sdtlbdtrb0(v3, v2) = v0))
% 27.65/9.03 | (74) sdtpldt0(all_0_8_8, all_0_7_7) = all_0_6_6
% 27.65/9.03 | (75) aScalar0(xH) = 0
% 27.65/9.03 | (76) sdtlbdtrb0(xt, all_0_15_15) = xB
% 27.68/9.03 | (77) aVector0(xp) = 0
% 27.68/9.03 | (78) sdtasdt0(xF, xD) = xS
% 27.68/9.03 | (79) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aVector0(v2) = v1) | ~ (aVector0(v2) = v0))
% 27.68/9.03 | (80) ! [v0] : ! [v1] : ( ~ (sdtlbdtrb0(xt, v0) = v1) | ? [v2] : ? [v3] : (sdtlbdtrb0(xq, v0) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v2 = 0) | v3 = v1)))
% 27.68/9.03 | (81) ! [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)))
% 27.68/9.03 | (82) sdtasdt0(xA, xB) = xH
% 27.68/9.03 | (83) sdtasdt0(xC, xD) = all_0_11_11
% 27.68/9.03 | (84) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (sziznziztdt0(v2) = v1) | ~ (sziznziztdt0(v2) = v0))
% 27.68/9.03 | (85) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (smndt0(v2) = v1) | ~ (smndt0(v2) = v0))
% 27.68/9.03 | (86) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtlseqdt0(v3, v2) = v1) | ~ (sdtlseqdt0(v3, v2) = v0))
% 27.68/9.03 | (87) aScalar0(xD) = 0
% 27.68/9.03 | (88) sdtpldt0(all_0_10_10, all_0_10_10) = all_0_9_9
% 27.68/9.03 | (89) sdtasdt0(xP, xP) = all_0_10_10
% 27.68/9.04 | (90) sdtlseqdt0(all_0_4_4, all_0_2_2) = 0
% 27.68/9.04 | (91) ! [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))))
% 27.68/9.04 | (92) ! [v0] : ! [v1] : ( ~ (sdtlbdtrb0(xp, v0) = v1) | ? [v2] : ? [v3] : (sdtlbdtrb0(xs, v0) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v2 = 0) | v3 = v1)))
% 27.68/9.04 | (93) ! [v0] : (v0 = sz00 | ~ (aNaturalNumber0(v0) = 0) | ? [v1] : (szszuzczcdt0(v1) = v0 & aNaturalNumber0(v1) = 0))
% 27.68/9.04 | (94) sdtlseqdt0(all_0_3_3, all_0_5_5) = all_0_0_0
% 27.68/9.04 | (95) aVector0(xs) = 0
% 27.68/9.04 | (96) sdtasdt0(xR, xR) = all_0_8_8
% 27.68/9.04 | (97) sdtlseqdt0(all_0_12_12, all_0_11_11) = 0
% 27.68/9.04 | (98) aScalar0(xN) = 0
% 27.68/9.04 | (99) sdtasasdt0(xp, xq) = xE
% 27.68/9.04 | (100) ! [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))))
% 27.68/9.04 | (101) ! [v0] : ! [v1] : ( ~ (sdtasasdt0(v0, v0) = v1) | ? [v2] : ? [v3] : (aVector0(v0) = v2 & sdtlseqdt0(sz0z00, v1) = v3 & ( ~ (v2 = 0) | v3 = 0)))
% 27.68/9.04 | (102) sziznziztdt0(xs) = xp
% 27.68/9.04 | (103) ! [v0] : ! [v1] : ( ~ (sdtasdt0(v0, v0) = v1) | ? [v2] : ? [v3] : (sdtlseqdt0(sz0z00, v1) = v3 & aScalar0(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 27.68/9.04 | (104) ! [v0] : ! [v1] : (v1 = 0 | ~ (sdtlseqdt0(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & aScalar0(v0) = v2))
% 27.68/9.04 | (105) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aScalar0(v2) = v1) | ~ (aScalar0(v2) = v0))
% 27.68/9.04 | (106) sdtlseqdt0(all_0_9_9, all_0_6_6) = 0
% 27.68/9.04 |
% 27.68/9.04 | Instantiating formula (69) with all_0_0_0, all_0_5_5, all_0_3_3 and discharging atoms sdtlseqdt0(all_0_3_3, all_0_5_5) = all_0_0_0, yields:
% 27.68/9.04 | (107) all_0_0_0 = 0 | ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(all_0_5_5, all_0_3_3) = v2 & aScalar0(all_0_3_3) = v0 & aScalar0(all_0_5_5) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 27.68/9.04 |
% 27.68/9.04 | Instantiating formula (103) 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:
% 27.68/9.04 | (108) ? [v0] : ? [v1] : (sdtlseqdt0(sz0z00, all_0_2_2) = v1 & aScalar0(all_0_3_3) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 27.68/9.04 |
% 27.68/9.04 | Instantiating formula (21) 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:
% 27.68/9.04 | (109) ? [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))
% 27.68/9.04 |
% 27.68/9.04 | Instantiating formula (103) 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:
% 27.68/9.04 | (110) ? [v0] : ? [v1] : (sdtlseqdt0(sz0z00, all_0_4_4) = v1 & aScalar0(all_0_5_5) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 27.68/9.04 |
% 27.68/9.04 | Instantiating formula (21) 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:
% 27.68/9.04 | (111) ? [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))
% 27.68/9.04 |
% 27.68/9.04 | Instantiating formula (103) with all_0_7_7, xS and discharging atoms sdtasdt0(xS, xS) = all_0_7_7, yields:
% 27.68/9.04 | (112) ? [v0] : ? [v1] : (sdtlseqdt0(sz0z00, all_0_7_7) = v1 & aScalar0(xS) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 27.68/9.04 |
% 27.68/9.04 | Instantiating formula (21) with all_0_7_7, xS, xS and discharging atoms sdtasdt0(xS, xS) = all_0_7_7, yields:
% 27.68/9.04 | (113) ? [v0] : ? [v1] : ? [v2] : (aScalar0(all_0_7_7) = v2 & aScalar0(xS) = v1 & aScalar0(xS) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 27.68/9.04 |
% 27.68/9.04 | Instantiating formula (103) with all_0_10_10, xP and discharging atoms sdtasdt0(xP, xP) = all_0_10_10, yields:
% 27.68/9.04 | (114) ? [v0] : ? [v1] : (sdtlseqdt0(sz0z00, all_0_10_10) = v1 & aScalar0(xP) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 27.68/9.04 |
% 27.68/9.04 | Instantiating formula (21) with all_0_10_10, xP, xP and discharging atoms sdtasdt0(xP, xP) = all_0_10_10, yields:
% 27.68/9.04 | (115) ? [v0] : ? [v1] : ? [v2] : (aScalar0(all_0_10_10) = v2 & aScalar0(xP) = v1 & aScalar0(xP) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 27.68/9.04 |
% 27.68/9.04 | Instantiating formula (103) with all_0_8_8, xR and discharging atoms sdtasdt0(xR, xR) = all_0_8_8, yields:
% 27.68/9.04 | (116) ? [v0] : ? [v1] : (sdtlseqdt0(sz0z00, all_0_8_8) = v1 & aScalar0(xR) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 27.68/9.04 |
% 27.68/9.04 | Instantiating formula (21) with all_0_8_8, xR, xR and discharging atoms sdtasdt0(xR, xR) = all_0_8_8, yields:
% 27.68/9.04 | (117) ? [v0] : ? [v1] : ? [v2] : (aScalar0(all_0_8_8) = v2 & aScalar0(xR) = v1 & aScalar0(xR) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 27.68/9.04 |
% 27.68/9.04 | Instantiating formula (100) 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:
% 27.68/9.04 | (118) ? [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)))
% 27.68/9.04 |
% 27.68/9.04 | Instantiating formula (30) with all_0_5_5, xP, xP and discharging atoms sdtpldt0(xP, xP) = all_0_5_5, yields:
% 27.68/9.05 | (119) ? [v0] : ? [v1] : ? [v2] : (aScalar0(all_0_5_5) = v2 & aScalar0(xP) = v1 & aScalar0(xP) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 27.68/9.05 |
% 27.68/9.05 | Instantiating formula (28) with all_0_0_0, all_0_5_5, all_0_3_3, xP, xS, xP, xR and discharging atoms sdtlseqdt0(all_0_3_3, all_0_5_5) = all_0_0_0, sdtpldt0(xP, xP) = all_0_5_5, sdtpldt0(xR, xS) = all_0_3_3, yields:
% 27.68/9.05 | (120) all_0_0_0 = 0 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (sdtlseqdt0(xS, xP) = v5 & sdtlseqdt0(xR, xP) = v4 & aScalar0(xS) = v2 & aScalar0(xP) = v3 & aScalar0(xP) = v1 & aScalar0(xR) = v0 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 27.68/9.05 |
% 27.68/9.05 | Instantiating formula (28) 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:
% 27.68/9.05 | (121) 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)))
% 27.68/9.05 |
% 27.68/9.05 | Instantiating formula (30) with all_0_3_3, xS, xR and discharging atoms sdtpldt0(xR, xS) = all_0_3_3, yields:
% 27.68/9.05 | (122) ? [v0] : ? [v1] : ? [v2] : (aScalar0(all_0_3_3) = v2 & aScalar0(xS) = v1 & aScalar0(xR) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 27.68/9.05 |
% 27.68/9.05 | Instantiating (119) with all_10_0_19, all_10_1_20, all_10_2_21 yields:
% 27.68/9.05 | (123) aScalar0(all_0_5_5) = all_10_0_19 & aScalar0(xP) = all_10_1_20 & aScalar0(xP) = all_10_2_21 & ( ~ (all_10_1_20 = 0) | ~ (all_10_2_21 = 0) | all_10_0_19 = 0)
% 27.68/9.05 |
% 27.68/9.05 | Applying alpha-rule on (123) yields:
% 27.68/9.05 | (124) aScalar0(all_0_5_5) = all_10_0_19
% 27.68/9.05 | (125) aScalar0(xP) = all_10_1_20
% 27.68/9.05 | (126) aScalar0(xP) = all_10_2_21
% 27.68/9.05 | (127) ~ (all_10_1_20 = 0) | ~ (all_10_2_21 = 0) | all_10_0_19 = 0
% 27.68/9.05 |
% 27.68/9.05 | Instantiating (118) with all_12_0_22, all_12_1_23, all_12_2_24, all_12_3_25, all_12_4_26, all_12_5_27, all_12_6_28, all_12_7_29, all_12_8_30 yields:
% 27.68/9.05 | (128) sdtasdt0(all_12_3_25, xP) = all_12_2_24 & sdtasdt0(xP, all_12_5_27) = all_12_4_26 & sdtasdt0(xP, xP) = all_12_1_23 & sdtpldt0(all_0_10_10, all_12_1_23) = all_12_0_22 & sdtpldt0(xP, xP) = all_12_3_25 & sdtpldt0(xP, xP) = all_12_5_27 & aScalar0(xP) = all_12_6_28 & aScalar0(xP) = all_12_7_29 & aScalar0(xP) = all_12_8_30 & ( ~ (all_12_6_28 = 0) | ~ (all_12_7_29 = 0) | ~ (all_12_8_30 = 0) | (all_12_0_22 = all_12_2_24 & all_12_4_26 = all_0_9_9))
% 27.68/9.05 |
% 27.68/9.05 | Applying alpha-rule on (128) yields:
% 27.68/9.05 | (129) sdtasdt0(all_12_3_25, xP) = all_12_2_24
% 27.68/9.05 | (130) sdtasdt0(xP, all_12_5_27) = all_12_4_26
% 27.68/9.05 | (131) sdtpldt0(all_0_10_10, all_12_1_23) = all_12_0_22
% 27.68/9.05 | (132) aScalar0(xP) = all_12_8_30
% 27.68/9.05 | (133) sdtasdt0(xP, xP) = all_12_1_23
% 27.68/9.05 | (134) sdtpldt0(xP, xP) = all_12_3_25
% 27.68/9.05 | (135) ~ (all_12_6_28 = 0) | ~ (all_12_7_29 = 0) | ~ (all_12_8_30 = 0) | (all_12_0_22 = all_12_2_24 & all_12_4_26 = all_0_9_9)
% 27.68/9.05 | (136) sdtpldt0(xP, xP) = all_12_5_27
% 27.68/9.05 | (137) aScalar0(xP) = all_12_7_29
% 27.68/9.05 | (138) aScalar0(xP) = all_12_6_28
% 27.68/9.05 |
% 27.68/9.05 | Instantiating (117) with all_18_0_37, all_18_1_38, all_18_2_39 yields:
% 27.68/9.05 | (139) aScalar0(all_0_8_8) = all_18_0_37 & aScalar0(xR) = all_18_1_38 & aScalar0(xR) = all_18_2_39 & ( ~ (all_18_1_38 = 0) | ~ (all_18_2_39 = 0) | all_18_0_37 = 0)
% 27.68/9.05 |
% 27.68/9.05 | Applying alpha-rule on (139) yields:
% 27.68/9.05 | (140) aScalar0(all_0_8_8) = all_18_0_37
% 27.68/9.05 | (141) aScalar0(xR) = all_18_1_38
% 27.68/9.05 | (142) aScalar0(xR) = all_18_2_39
% 27.68/9.05 | (143) ~ (all_18_1_38 = 0) | ~ (all_18_2_39 = 0) | all_18_0_37 = 0
% 27.68/9.05 |
% 27.68/9.05 | Instantiating (116) with all_28_0_56, all_28_1_57 yields:
% 27.68/9.05 | (144) sdtlseqdt0(sz0z00, all_0_8_8) = all_28_0_56 & aScalar0(xR) = all_28_1_57 & ( ~ (all_28_1_57 = 0) | all_28_0_56 = 0)
% 27.68/9.05 |
% 27.68/9.05 | Applying alpha-rule on (144) yields:
% 27.68/9.05 | (145) sdtlseqdt0(sz0z00, all_0_8_8) = all_28_0_56
% 27.68/9.05 | (146) aScalar0(xR) = all_28_1_57
% 27.68/9.05 | (147) ~ (all_28_1_57 = 0) | all_28_0_56 = 0
% 27.68/9.05 |
% 27.68/9.05 | Instantiating (115) with all_30_0_58, all_30_1_59, all_30_2_60 yields:
% 27.68/9.05 | (148) aScalar0(all_0_10_10) = all_30_0_58 & aScalar0(xP) = all_30_1_59 & aScalar0(xP) = all_30_2_60 & ( ~ (all_30_1_59 = 0) | ~ (all_30_2_60 = 0) | all_30_0_58 = 0)
% 27.68/9.05 |
% 27.68/9.05 | Applying alpha-rule on (148) yields:
% 27.68/9.05 | (149) aScalar0(all_0_10_10) = all_30_0_58
% 27.68/9.05 | (150) aScalar0(xP) = all_30_1_59
% 27.68/9.05 | (151) aScalar0(xP) = all_30_2_60
% 27.68/9.05 | (152) ~ (all_30_1_59 = 0) | ~ (all_30_2_60 = 0) | all_30_0_58 = 0
% 27.68/9.05 |
% 27.68/9.05 | Instantiating (114) with all_38_0_68, all_38_1_69 yields:
% 27.68/9.05 | (153) sdtlseqdt0(sz0z00, all_0_10_10) = all_38_0_68 & aScalar0(xP) = all_38_1_69 & ( ~ (all_38_1_69 = 0) | all_38_0_68 = 0)
% 27.68/9.05 |
% 27.68/9.05 | Applying alpha-rule on (153) yields:
% 27.68/9.05 | (154) sdtlseqdt0(sz0z00, all_0_10_10) = all_38_0_68
% 27.68/9.05 | (155) aScalar0(xP) = all_38_1_69
% 27.68/9.05 | (156) ~ (all_38_1_69 = 0) | all_38_0_68 = 0
% 27.68/9.05 |
% 27.68/9.05 | Instantiating (111) with all_40_0_70, all_40_1_71, all_40_2_72 yields:
% 27.68/9.05 | (157) aScalar0(all_0_4_4) = all_40_0_70 & aScalar0(all_0_5_5) = all_40_1_71 & aScalar0(all_0_5_5) = all_40_2_72 & ( ~ (all_40_1_71 = 0) | ~ (all_40_2_72 = 0) | all_40_0_70 = 0)
% 27.68/9.05 |
% 27.68/9.05 | Applying alpha-rule on (157) yields:
% 27.68/9.05 | (158) aScalar0(all_0_4_4) = all_40_0_70
% 27.68/9.05 | (159) aScalar0(all_0_5_5) = all_40_1_71
% 27.68/9.05 | (160) aScalar0(all_0_5_5) = all_40_2_72
% 27.68/9.05 | (161) ~ (all_40_1_71 = 0) | ~ (all_40_2_72 = 0) | all_40_0_70 = 0
% 27.68/9.05 |
% 27.68/9.05 | Instantiating (110) with all_42_0_73, all_42_1_74 yields:
% 27.68/9.05 | (162) sdtlseqdt0(sz0z00, all_0_4_4) = all_42_0_73 & aScalar0(all_0_5_5) = all_42_1_74 & ( ~ (all_42_1_74 = 0) | all_42_0_73 = 0)
% 27.68/9.05 |
% 27.68/9.05 | Applying alpha-rule on (162) yields:
% 27.68/9.05 | (163) sdtlseqdt0(sz0z00, all_0_4_4) = all_42_0_73
% 27.68/9.05 | (164) aScalar0(all_0_5_5) = all_42_1_74
% 27.68/9.05 | (165) ~ (all_42_1_74 = 0) | all_42_0_73 = 0
% 27.68/9.05 |
% 27.68/9.05 | Instantiating (113) with all_48_0_77, all_48_1_78, all_48_2_79 yields:
% 27.68/9.05 | (166) aScalar0(all_0_7_7) = all_48_0_77 & aScalar0(xS) = all_48_1_78 & aScalar0(xS) = all_48_2_79 & ( ~ (all_48_1_78 = 0) | ~ (all_48_2_79 = 0) | all_48_0_77 = 0)
% 27.68/9.05 |
% 27.68/9.05 | Applying alpha-rule on (166) yields:
% 27.68/9.05 | (167) aScalar0(all_0_7_7) = all_48_0_77
% 27.68/9.05 | (168) aScalar0(xS) = all_48_1_78
% 27.68/9.05 | (169) aScalar0(xS) = all_48_2_79
% 27.68/9.05 | (170) ~ (all_48_1_78 = 0) | ~ (all_48_2_79 = 0) | all_48_0_77 = 0
% 27.68/9.05 |
% 27.68/9.05 | Instantiating (112) with all_50_0_80, all_50_1_81 yields:
% 27.68/9.05 | (171) sdtlseqdt0(sz0z00, all_0_7_7) = all_50_0_80 & aScalar0(xS) = all_50_1_81 & ( ~ (all_50_1_81 = 0) | all_50_0_80 = 0)
% 27.68/9.06 |
% 27.68/9.06 | Applying alpha-rule on (171) yields:
% 27.68/9.06 | (172) sdtlseqdt0(sz0z00, all_0_7_7) = all_50_0_80
% 27.68/9.06 | (173) aScalar0(xS) = all_50_1_81
% 27.68/9.06 | (174) ~ (all_50_1_81 = 0) | all_50_0_80 = 0
% 27.68/9.06 |
% 27.68/9.06 | Instantiating (109) with all_60_0_90, all_60_1_91, all_60_2_92 yields:
% 27.68/9.06 | (175) aScalar0(all_0_2_2) = all_60_0_90 & aScalar0(all_0_3_3) = all_60_1_91 & aScalar0(all_0_3_3) = all_60_2_92 & ( ~ (all_60_1_91 = 0) | ~ (all_60_2_92 = 0) | all_60_0_90 = 0)
% 27.68/9.06 |
% 27.68/9.06 | Applying alpha-rule on (175) yields:
% 27.68/9.06 | (176) aScalar0(all_0_2_2) = all_60_0_90
% 27.68/9.06 | (177) aScalar0(all_0_3_3) = all_60_1_91
% 27.68/9.06 | (178) aScalar0(all_0_3_3) = all_60_2_92
% 27.68/9.06 | (179) ~ (all_60_1_91 = 0) | ~ (all_60_2_92 = 0) | all_60_0_90 = 0
% 27.68/9.06 |
% 27.68/9.06 | Instantiating (108) with all_72_0_107, all_72_1_108 yields:
% 27.68/9.06 | (180) sdtlseqdt0(sz0z00, all_0_2_2) = all_72_0_107 & aScalar0(all_0_3_3) = all_72_1_108 & ( ~ (all_72_1_108 = 0) | all_72_0_107 = 0)
% 27.68/9.06 |
% 27.68/9.06 | Applying alpha-rule on (180) yields:
% 27.68/9.06 | (181) sdtlseqdt0(sz0z00, all_0_2_2) = all_72_0_107
% 27.68/9.06 | (182) aScalar0(all_0_3_3) = all_72_1_108
% 27.68/9.06 | (183) ~ (all_72_1_108 = 0) | all_72_0_107 = 0
% 27.68/9.06 |
% 27.68/9.06 | Instantiating (122) with all_74_0_109, all_74_1_110, all_74_2_111 yields:
% 27.68/9.06 | (184) aScalar0(all_0_3_3) = all_74_0_109 & aScalar0(xS) = all_74_1_110 & aScalar0(xR) = all_74_2_111 & ( ~ (all_74_1_110 = 0) | ~ (all_74_2_111 = 0) | all_74_0_109 = 0)
% 27.68/9.06 |
% 27.68/9.06 | Applying alpha-rule on (184) yields:
% 27.68/9.06 | (185) aScalar0(all_0_3_3) = all_74_0_109
% 27.68/9.06 | (186) aScalar0(xS) = all_74_1_110
% 27.68/9.06 | (187) aScalar0(xR) = all_74_2_111
% 27.68/9.06 | (188) ~ (all_74_1_110 = 0) | ~ (all_74_2_111 = 0) | all_74_0_109 = 0
% 27.68/9.06 |
% 27.68/9.06 +-Applying beta-rule and splitting (120), into two cases.
% 27.68/9.06 |-Branch one:
% 27.68/9.06 | (189) all_0_0_0 = 0
% 27.68/9.06 |
% 27.68/9.06 | Equations (189) can reduce 55 to:
% 27.68/9.06 | (190) $false
% 27.68/9.06 |
% 27.68/9.06 |-The branch is then unsatisfiable
% 27.68/9.06 |-Branch two:
% 27.68/9.06 | (55) ~ (all_0_0_0 = 0)
% 27.68/9.06 | (192) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (sdtlseqdt0(xS, xP) = v5 & sdtlseqdt0(xR, xP) = v4 & aScalar0(xS) = v2 & aScalar0(xP) = v3 & aScalar0(xP) = v1 & aScalar0(xR) = v0 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 27.68/9.06 |
% 27.68/9.06 | Instantiating (192) with all_86_0_122, all_86_1_123, all_86_2_124, all_86_3_125, all_86_4_126, all_86_5_127 yields:
% 27.68/9.06 | (193) sdtlseqdt0(xS, xP) = all_86_0_122 & sdtlseqdt0(xR, xP) = all_86_1_123 & aScalar0(xS) = all_86_3_125 & aScalar0(xP) = all_86_2_124 & aScalar0(xP) = all_86_4_126 & aScalar0(xR) = all_86_5_127 & ( ~ (all_86_0_122 = 0) | ~ (all_86_1_123 = 0) | ~ (all_86_2_124 = 0) | ~ (all_86_3_125 = 0) | ~ (all_86_4_126 = 0) | ~ (all_86_5_127 = 0))
% 27.68/9.06 |
% 27.68/9.06 | Applying alpha-rule on (193) yields:
% 27.68/9.06 | (194) sdtlseqdt0(xR, xP) = all_86_1_123
% 27.68/9.06 | (195) aScalar0(xS) = all_86_3_125
% 27.68/9.06 | (196) aScalar0(xR) = all_86_5_127
% 27.68/9.06 | (197) aScalar0(xP) = all_86_4_126
% 27.68/9.06 | (198) ~ (all_86_0_122 = 0) | ~ (all_86_1_123 = 0) | ~ (all_86_2_124 = 0) | ~ (all_86_3_125 = 0) | ~ (all_86_4_126 = 0) | ~ (all_86_5_127 = 0)
% 27.68/9.06 | (199) aScalar0(xP) = all_86_2_124
% 27.68/9.06 | (200) sdtlseqdt0(xS, xP) = all_86_0_122
% 27.68/9.06 |
% 27.68/9.06 +-Applying beta-rule and splitting (121), into two cases.
% 27.68/9.06 |-Branch one:
% 27.68/9.06 | (201) all_0_1_1 = 0
% 27.68/9.06 |
% 27.68/9.06 | Equations (201) can reduce 13 to:
% 27.68/9.06 | (190) $false
% 27.68/9.06 |
% 27.68/9.06 |-The branch is then unsatisfiable
% 27.68/9.06 |-Branch two:
% 27.68/9.06 | (13) ~ (all_0_1_1 = 0)
% 27.68/9.06 | (204) ? [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)))
% 27.68/9.06 |
% 27.68/9.06 | Instantiating (204) with all_91_0_128, all_91_1_129, all_91_2_130, all_91_3_131, all_91_4_132, all_91_5_133 yields:
% 27.68/9.06 | (205) sdtlseqdt0(xP, xS) = all_91_0_128 & sdtlseqdt0(xP, xR) = all_91_1_129 & aScalar0(xS) = all_91_2_130 & aScalar0(xP) = all_91_3_131 & aScalar0(xP) = all_91_5_133 & aScalar0(xR) = all_91_4_132 & ( ~ (all_91_0_128 = 0) | ~ (all_91_1_129 = 0) | ~ (all_91_2_130 = 0) | ~ (all_91_3_131 = 0) | ~ (all_91_4_132 = 0) | ~ (all_91_5_133 = 0))
% 27.68/9.06 |
% 27.68/9.06 | Applying alpha-rule on (205) yields:
% 27.68/9.06 | (206) sdtlseqdt0(xP, xS) = all_91_0_128
% 27.68/9.06 | (207) sdtlseqdt0(xP, xR) = all_91_1_129
% 27.68/9.06 | (208) ~ (all_91_0_128 = 0) | ~ (all_91_1_129 = 0) | ~ (all_91_2_130 = 0) | ~ (all_91_3_131 = 0) | ~ (all_91_4_132 = 0) | ~ (all_91_5_133 = 0)
% 27.68/9.06 | (209) aScalar0(xP) = all_91_5_133
% 27.68/9.06 | (210) aScalar0(xP) = all_91_3_131
% 27.68/9.06 | (211) aScalar0(xS) = all_91_2_130
% 27.68/9.06 | (212) aScalar0(xR) = all_91_4_132
% 27.68/9.06 |
% 27.68/9.06 | Instantiating formula (105) with all_0_3_3, all_72_1_108, all_74_0_109 and discharging atoms aScalar0(all_0_3_3) = all_74_0_109, aScalar0(all_0_3_3) = all_72_1_108, yields:
% 27.68/9.06 | (213) all_74_0_109 = all_72_1_108
% 27.68/9.06 |
% 27.68/9.06 | Instantiating formula (105) with all_0_3_3, all_60_1_91, all_74_0_109 and discharging atoms aScalar0(all_0_3_3) = all_74_0_109, aScalar0(all_0_3_3) = all_60_1_91, yields:
% 27.68/9.06 | (214) all_74_0_109 = all_60_1_91
% 27.68/9.06 |
% 27.68/9.06 | Instantiating formula (105) with all_0_3_3, all_60_2_92, all_74_0_109 and discharging atoms aScalar0(all_0_3_3) = all_74_0_109, aScalar0(all_0_3_3) = all_60_2_92, yields:
% 27.68/9.06 | (215) all_74_0_109 = all_60_2_92
% 27.68/9.06 |
% 27.68/9.06 | Instantiating formula (105) with all_0_5_5, all_40_1_71, all_42_1_74 and discharging atoms aScalar0(all_0_5_5) = all_42_1_74, aScalar0(all_0_5_5) = all_40_1_71, yields:
% 27.68/9.06 | (216) all_42_1_74 = all_40_1_71
% 27.68/9.06 |
% 27.68/9.06 | Instantiating formula (105) with all_0_5_5, all_40_2_72, all_42_1_74 and discharging atoms aScalar0(all_0_5_5) = all_42_1_74, aScalar0(all_0_5_5) = all_40_2_72, yields:
% 27.68/9.06 | (217) all_42_1_74 = all_40_2_72
% 27.68/9.06 |
% 27.68/9.06 | Instantiating formula (105) with all_0_5_5, all_10_0_19, all_42_1_74 and discharging atoms aScalar0(all_0_5_5) = all_42_1_74, aScalar0(all_0_5_5) = all_10_0_19, yields:
% 27.68/9.06 | (218) all_42_1_74 = all_10_0_19
% 27.68/9.06 |
% 27.68/9.06 | Instantiating formula (105) with xS, all_91_2_130, 0 and discharging atoms aScalar0(xS) = all_91_2_130, aScalar0(xS) = 0, yields:
% 27.68/9.07 | (219) all_91_2_130 = 0
% 27.68/9.07 |
% 27.68/9.07 | Instantiating formula (105) with xS, all_74_1_110, all_91_2_130 and discharging atoms aScalar0(xS) = all_91_2_130, aScalar0(xS) = all_74_1_110, yields:
% 27.68/9.07 | (220) all_91_2_130 = all_74_1_110
% 27.68/9.07 |
% 27.68/9.07 | Instantiating formula (105) with xS, all_74_1_110, all_86_3_125 and discharging atoms aScalar0(xS) = all_86_3_125, aScalar0(xS) = all_74_1_110, yields:
% 27.68/9.07 | (221) all_86_3_125 = all_74_1_110
% 27.68/9.07 |
% 27.68/9.07 | Instantiating formula (105) with xS, all_50_1_81, all_91_2_130 and discharging atoms aScalar0(xS) = all_91_2_130, aScalar0(xS) = all_50_1_81, yields:
% 27.68/9.07 | (222) all_91_2_130 = all_50_1_81
% 27.68/9.07 |
% 27.68/9.07 | Instantiating formula (105) with xS, all_48_1_78, all_91_2_130 and discharging atoms aScalar0(xS) = all_91_2_130, aScalar0(xS) = all_48_1_78, yields:
% 27.68/9.07 | (223) all_91_2_130 = all_48_1_78
% 27.68/9.07 |
% 27.68/9.07 | Instantiating formula (105) with xS, all_48_2_79, all_86_3_125 and discharging atoms aScalar0(xS) = all_86_3_125, aScalar0(xS) = all_48_2_79, yields:
% 27.68/9.07 | (224) all_86_3_125 = all_48_2_79
% 27.68/9.07 |
% 27.68/9.07 | Instantiating formula (105) with xP, all_91_5_133, 0 and discharging atoms aScalar0(xP) = all_91_5_133, aScalar0(xP) = 0, yields:
% 27.68/9.07 | (225) all_91_5_133 = 0
% 27.68/9.07 |
% 27.68/9.07 | Instantiating formula (105) with xP, all_86_2_124, all_91_5_133 and discharging atoms aScalar0(xP) = all_91_5_133, aScalar0(xP) = all_86_2_124, yields:
% 27.68/9.07 | (226) all_91_5_133 = all_86_2_124
% 27.68/9.07 |
% 27.68/9.07 | Instantiating formula (105) with xP, all_86_4_126, all_91_3_131 and discharging atoms aScalar0(xP) = all_91_3_131, aScalar0(xP) = all_86_4_126, yields:
% 27.68/9.07 | (227) all_91_3_131 = all_86_4_126
% 27.68/9.07 |
% 27.68/9.07 | Instantiating formula (105) with xP, all_86_4_126, all_91_5_133 and discharging atoms aScalar0(xP) = all_91_5_133, aScalar0(xP) = all_86_4_126, yields:
% 27.68/9.07 | (228) all_91_5_133 = all_86_4_126
% 27.68/9.07 |
% 27.68/9.07 | Instantiating formula (105) with xP, all_30_1_59, all_91_3_131 and discharging atoms aScalar0(xP) = all_91_3_131, aScalar0(xP) = all_30_1_59, yields:
% 27.68/9.07 | (229) all_91_3_131 = all_30_1_59
% 27.68/9.07 |
% 27.68/9.07 | Instantiating formula (105) with xP, all_30_2_60, all_38_1_69 and discharging atoms aScalar0(xP) = all_38_1_69, aScalar0(xP) = all_30_2_60, yields:
% 27.68/9.07 | (230) all_38_1_69 = all_30_2_60
% 27.68/9.07 |
% 27.68/9.07 | Instantiating formula (105) with xP, all_12_6_28, all_38_1_69 and discharging atoms aScalar0(xP) = all_38_1_69, aScalar0(xP) = all_12_6_28, yields:
% 27.68/9.07 | (231) all_38_1_69 = all_12_6_28
% 27.68/9.07 |
% 27.68/9.07 | Instantiating formula (105) with xP, all_12_7_29, all_91_3_131 and discharging atoms aScalar0(xP) = all_91_3_131, aScalar0(xP) = all_12_7_29, yields:
% 27.68/9.07 | (232) all_91_3_131 = all_12_7_29
% 27.68/9.07 |
% 27.68/9.07 | Instantiating formula (105) with xP, all_12_7_29, all_30_2_60 and discharging atoms aScalar0(xP) = all_30_2_60, aScalar0(xP) = all_12_7_29, yields:
% 27.68/9.07 | (233) all_30_2_60 = all_12_7_29
% 27.68/9.07 |
% 27.68/9.07 | Instantiating formula (105) with xP, all_12_8_30, all_30_2_60 and discharging atoms aScalar0(xP) = all_30_2_60, aScalar0(xP) = all_12_8_30, yields:
% 27.68/9.07 | (234) all_30_2_60 = all_12_8_30
% 27.68/9.07 |
% 27.68/9.07 | Instantiating formula (105) with xP, all_10_1_20, all_38_1_69 and discharging atoms aScalar0(xP) = all_38_1_69, aScalar0(xP) = all_10_1_20, yields:
% 27.68/9.07 | (235) all_38_1_69 = all_10_1_20
% 27.68/9.07 |
% 27.68/9.07 | Instantiating formula (105) with xP, all_10_2_21, all_12_6_28 and discharging atoms aScalar0(xP) = all_12_6_28, aScalar0(xP) = all_10_2_21, yields:
% 27.68/9.07 | (236) all_12_6_28 = all_10_2_21
% 27.68/9.07 |
% 27.68/9.07 | Instantiating formula (105) with xR, all_86_5_127, all_91_4_132 and discharging atoms aScalar0(xR) = all_91_4_132, aScalar0(xR) = all_86_5_127, yields:
% 27.68/9.07 | (237) all_91_4_132 = all_86_5_127
% 27.68/9.07 |
% 27.68/9.07 | Instantiating formula (105) with xR, all_74_2_111, all_86_5_127 and discharging atoms aScalar0(xR) = all_86_5_127, aScalar0(xR) = all_74_2_111, yields:
% 27.68/9.07 | (238) all_86_5_127 = all_74_2_111
% 27.68/9.07 |
% 27.68/9.07 | Instantiating formula (105) with xR, all_28_1_57, all_91_4_132 and discharging atoms aScalar0(xR) = all_91_4_132, aScalar0(xR) = all_28_1_57, yields:
% 27.68/9.07 | (239) all_91_4_132 = all_28_1_57
% 27.68/9.07 |
% 27.68/9.07 | Instantiating formula (105) with xR, all_18_1_38, 0 and discharging atoms aScalar0(xR) = all_18_1_38, aScalar0(xR) = 0, yields:
% 27.68/9.07 | (240) all_18_1_38 = 0
% 27.68/9.07 |
% 27.68/9.07 | Instantiating formula (105) with xR, all_18_1_38, all_74_2_111 and discharging atoms aScalar0(xR) = all_74_2_111, aScalar0(xR) = all_18_1_38, yields:
% 27.68/9.07 | (241) all_74_2_111 = all_18_1_38
% 27.68/9.07 |
% 27.68/9.07 | Instantiating formula (105) with xR, all_18_2_39, all_74_2_111 and discharging atoms aScalar0(xR) = all_74_2_111, aScalar0(xR) = all_18_2_39, yields:
% 27.68/9.07 | (242) all_74_2_111 = all_18_2_39
% 27.68/9.07 |
% 27.68/9.07 | Combining equations (223,222) yields a new equation:
% 27.68/9.07 | (243) all_50_1_81 = all_48_1_78
% 27.68/9.07 |
% 27.68/9.07 | Combining equations (220,222) yields a new equation:
% 27.68/9.07 | (244) all_74_1_110 = all_50_1_81
% 27.68/9.07 |
% 27.68/9.07 | Simplifying 244 yields:
% 27.68/9.07 | (245) all_74_1_110 = all_50_1_81
% 27.68/9.07 |
% 27.68/9.07 | Combining equations (219,222) yields a new equation:
% 27.68/9.07 | (246) all_50_1_81 = 0
% 27.68/9.07 |
% 27.68/9.07 | Combining equations (227,229) yields a new equation:
% 27.68/9.07 | (247) all_86_4_126 = all_30_1_59
% 27.68/9.07 |
% 27.68/9.07 | Simplifying 247 yields:
% 27.68/9.07 | (248) all_86_4_126 = all_30_1_59
% 27.68/9.07 |
% 27.68/9.07 | Combining equations (232,229) yields a new equation:
% 27.68/9.07 | (249) all_30_1_59 = all_12_7_29
% 27.68/9.07 |
% 27.68/9.07 | Combining equations (237,239) yields a new equation:
% 27.68/9.07 | (250) all_86_5_127 = all_28_1_57
% 27.68/9.07 |
% 27.68/9.07 | Simplifying 250 yields:
% 27.68/9.07 | (251) all_86_5_127 = all_28_1_57
% 27.68/9.07 |
% 27.68/9.07 | Combining equations (225,226) yields a new equation:
% 27.68/9.07 | (252) all_86_2_124 = 0
% 27.68/9.07 |
% 27.68/9.07 | Combining equations (228,226) yields a new equation:
% 27.68/9.07 | (253) all_86_2_124 = all_86_4_126
% 27.68/9.07 |
% 27.68/9.07 | Combining equations (253,252) yields a new equation:
% 27.68/9.07 | (254) all_86_4_126 = 0
% 27.68/9.07 |
% 27.68/9.07 | Simplifying 254 yields:
% 27.68/9.07 | (255) all_86_4_126 = 0
% 27.68/9.07 |
% 27.68/9.07 | Combining equations (221,224) yields a new equation:
% 27.68/9.07 | (256) all_74_1_110 = all_48_2_79
% 27.68/9.07 |
% 27.68/9.07 | Simplifying 256 yields:
% 27.68/9.07 | (257) all_74_1_110 = all_48_2_79
% 27.68/9.07 |
% 27.68/9.07 | Combining equations (248,255) yields a new equation:
% 27.68/9.07 | (258) all_30_1_59 = 0
% 27.68/9.07 |
% 27.68/9.07 | Simplifying 258 yields:
% 27.68/9.07 | (259) all_30_1_59 = 0
% 27.68/9.07 |
% 27.68/9.07 | Combining equations (238,251) yields a new equation:
% 27.68/9.07 | (260) all_74_2_111 = all_28_1_57
% 27.68/9.07 |
% 27.68/9.07 | Simplifying 260 yields:
% 27.68/9.07 | (261) all_74_2_111 = all_28_1_57
% 27.68/9.07 |
% 27.68/9.07 | Combining equations (214,213) yields a new equation:
% 27.68/9.07 | (262) all_72_1_108 = all_60_1_91
% 27.68/9.07 |
% 27.68/9.07 | Combining equations (215,213) yields a new equation:
% 27.68/9.07 | (263) all_72_1_108 = all_60_2_92
% 27.68/9.07 |
% 27.68/9.07 | Combining equations (245,257) yields a new equation:
% 27.68/9.07 | (264) all_50_1_81 = all_48_2_79
% 27.68/9.07 |
% 27.68/9.07 | Simplifying 264 yields:
% 27.68/9.07 | (265) all_50_1_81 = all_48_2_79
% 27.68/9.07 |
% 27.68/9.07 | Combining equations (241,261) yields a new equation:
% 27.68/9.07 | (266) all_28_1_57 = all_18_1_38
% 27.68/9.07 |
% 27.68/9.07 | Combining equations (242,261) yields a new equation:
% 27.68/9.07 | (267) all_28_1_57 = all_18_2_39
% 27.68/9.07 |
% 27.68/9.07 | Combining equations (263,262) yields a new equation:
% 27.68/9.07 | (268) all_60_1_91 = all_60_2_92
% 27.68/9.07 |
% 27.68/9.07 | Combining equations (246,243) yields a new equation:
% 27.68/9.07 | (269) all_48_1_78 = 0
% 27.68/9.07 |
% 27.68/9.07 | Combining equations (265,243) yields a new equation:
% 27.68/9.07 | (270) all_48_1_78 = all_48_2_79
% 27.68/9.07 |
% 27.68/9.07 | Combining equations (270,269) yields a new equation:
% 27.68/9.07 | (271) all_48_2_79 = 0
% 27.68/9.07 |
% 27.68/9.07 | Simplifying 271 yields:
% 27.68/9.07 | (272) all_48_2_79 = 0
% 27.68/9.07 |
% 27.68/9.08 | Combining equations (218,216) yields a new equation:
% 27.68/9.08 | (273) all_40_1_71 = all_10_0_19
% 27.68/9.08 |
% 27.68/9.08 | Combining equations (217,216) yields a new equation:
% 27.68/9.08 | (274) all_40_1_71 = all_40_2_72
% 27.68/9.08 |
% 27.68/9.08 | Combining equations (274,273) yields a new equation:
% 27.68/9.08 | (275) all_40_2_72 = all_10_0_19
% 27.68/9.08 |
% 27.68/9.08 | Simplifying 275 yields:
% 27.68/9.08 | (276) all_40_2_72 = all_10_0_19
% 27.68/9.08 |
% 27.68/9.08 | Combining equations (231,235) yields a new equation:
% 27.68/9.08 | (277) all_12_6_28 = all_10_1_20
% 27.68/9.08 |
% 27.68/9.08 | Simplifying 277 yields:
% 27.68/9.08 | (278) all_12_6_28 = all_10_1_20
% 27.68/9.08 |
% 27.68/9.08 | Combining equations (230,235) yields a new equation:
% 27.68/9.08 | (279) all_30_2_60 = all_10_1_20
% 27.68/9.08 |
% 27.68/9.08 | Simplifying 279 yields:
% 27.68/9.08 | (280) all_30_2_60 = all_10_1_20
% 27.68/9.08 |
% 27.68/9.08 | Combining equations (249,259) yields a new equation:
% 27.68/9.08 | (281) all_12_7_29 = 0
% 27.68/9.08 |
% 27.68/9.08 | Simplifying 281 yields:
% 27.68/9.08 | (282) all_12_7_29 = 0
% 27.68/9.08 |
% 27.68/9.08 | Combining equations (233,234) yields a new equation:
% 27.68/9.08 | (283) all_12_7_29 = all_12_8_30
% 27.68/9.08 |
% 27.68/9.08 | Simplifying 283 yields:
% 27.68/9.08 | (284) all_12_7_29 = all_12_8_30
% 27.68/9.08 |
% 27.68/9.08 | Combining equations (280,234) yields a new equation:
% 27.68/9.08 | (285) all_12_8_30 = all_10_1_20
% 27.68/9.08 |
% 27.68/9.08 | Combining equations (266,267) yields a new equation:
% 27.68/9.08 | (286) all_18_1_38 = all_18_2_39
% 27.68/9.08 |
% 27.68/9.08 | Simplifying 286 yields:
% 27.68/9.08 | (287) all_18_1_38 = all_18_2_39
% 27.68/9.08 |
% 27.68/9.08 | Combining equations (240,287) yields a new equation:
% 27.68/9.08 | (288) all_18_2_39 = 0
% 27.68/9.08 |
% 27.68/9.08 | Combining equations (278,236) yields a new equation:
% 27.68/9.08 | (289) all_10_1_20 = all_10_2_21
% 27.68/9.08 |
% 27.68/9.08 | Simplifying 289 yields:
% 27.68/9.08 | (290) all_10_1_20 = all_10_2_21
% 27.68/9.08 |
% 27.68/9.08 | Combining equations (284,282) yields a new equation:
% 27.68/9.08 | (291) all_12_8_30 = 0
% 27.68/9.08 |
% 27.68/9.08 | Simplifying 291 yields:
% 27.68/9.08 | (292) all_12_8_30 = 0
% 27.68/9.08 |
% 27.68/9.08 | Combining equations (285,292) yields a new equation:
% 27.68/9.08 | (293) all_10_1_20 = 0
% 27.68/9.08 |
% 27.68/9.08 | Simplifying 293 yields:
% 27.68/9.08 | (294) all_10_1_20 = 0
% 27.68/9.08 |
% 27.68/9.08 | Combining equations (294,290) yields a new equation:
% 27.68/9.08 | (295) all_10_2_21 = 0
% 27.68/9.08 |
% 27.68/9.08 | Combining equations (295,290) yields a new equation:
% 27.68/9.08 | (294) all_10_1_20 = 0
% 27.68/9.08 |
% 27.68/9.08 | Combining equations (288,267) yields a new equation:
% 27.68/9.08 | (297) all_28_1_57 = 0
% 27.68/9.08 |
% 27.68/9.08 | Combining equations (268,262) yields a new equation:
% 27.68/9.08 | (263) all_72_1_108 = all_60_2_92
% 27.68/9.08 |
% 27.68/9.08 | Combining equations (297,261) yields a new equation:
% 27.68/9.08 | (299) all_74_2_111 = 0
% 27.68/9.08 |
% 27.68/9.08 | Combining equations (272,257) yields a new equation:
% 27.68/9.08 | (300) all_74_1_110 = 0
% 27.68/9.08 |
% 27.68/9.08 | Combining equations (263,213) yields a new equation:
% 27.68/9.08 | (215) all_74_0_109 = all_60_2_92
% 27.68/9.08 |
% 27.68/9.08 | From (268) and (177) follows:
% 27.68/9.08 | (178) aScalar0(all_0_3_3) = all_60_2_92
% 27.68/9.08 |
% 27.68/9.08 | From (276) and (160) follows:
% 27.68/9.08 | (124) aScalar0(all_0_5_5) = all_10_0_19
% 27.68/9.08 |
% 27.68/9.08 +-Applying beta-rule and splitting (127), into two cases.
% 27.68/9.08 |-Branch one:
% 27.68/9.08 | (304) ~ (all_10_1_20 = 0)
% 27.68/9.08 |
% 27.68/9.08 | Equations (294) can reduce 304 to:
% 27.68/9.08 | (190) $false
% 27.68/9.08 |
% 27.68/9.08 |-The branch is then unsatisfiable
% 27.68/9.08 |-Branch two:
% 27.68/9.08 | (294) all_10_1_20 = 0
% 27.68/9.08 | (307) ~ (all_10_2_21 = 0) | all_10_0_19 = 0
% 27.68/9.08 |
% 27.68/9.08 +-Applying beta-rule and splitting (307), into two cases.
% 27.68/9.08 |-Branch one:
% 27.68/9.08 | (308) ~ (all_10_2_21 = 0)
% 27.68/9.08 |
% 27.68/9.08 | Equations (295) can reduce 308 to:
% 27.68/9.08 | (190) $false
% 27.68/9.08 |
% 27.68/9.08 |-The branch is then unsatisfiable
% 27.68/9.08 |-Branch two:
% 27.68/9.08 | (295) all_10_2_21 = 0
% 27.68/9.08 | (311) all_10_0_19 = 0
% 27.68/9.08 |
% 27.68/9.08 | From (311) and (124) follows:
% 27.68/9.08 | (312) aScalar0(all_0_5_5) = 0
% 27.68/9.08 |
% 27.68/9.08 +-Applying beta-rule and splitting (107), into two cases.
% 27.68/9.08 |-Branch one:
% 27.68/9.08 | (189) all_0_0_0 = 0
% 27.68/9.08 |
% 27.68/9.08 | Equations (189) can reduce 55 to:
% 27.68/9.08 | (190) $false
% 27.68/9.08 |
% 27.68/9.08 |-The branch is then unsatisfiable
% 27.68/9.08 |-Branch two:
% 27.68/9.08 | (55) ~ (all_0_0_0 = 0)
% 27.68/9.08 | (316) ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(all_0_5_5, all_0_3_3) = v2 & aScalar0(all_0_3_3) = v0 & aScalar0(all_0_5_5) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 27.68/9.08 |
% 27.68/9.08 | Instantiating (316) with all_224_0_134, all_224_1_135, all_224_2_136 yields:
% 27.68/9.08 | (317) sdtlseqdt0(all_0_5_5, all_0_3_3) = all_224_0_134 & aScalar0(all_0_3_3) = all_224_2_136 & aScalar0(all_0_5_5) = all_224_1_135 & ( ~ (all_224_1_135 = 0) | ~ (all_224_2_136 = 0) | all_224_0_134 = 0)
% 27.68/9.08 |
% 27.68/9.08 | Applying alpha-rule on (317) yields:
% 27.68/9.08 | (318) sdtlseqdt0(all_0_5_5, all_0_3_3) = all_224_0_134
% 27.68/9.08 | (319) aScalar0(all_0_3_3) = all_224_2_136
% 27.68/9.08 | (320) aScalar0(all_0_5_5) = all_224_1_135
% 27.68/9.08 | (321) ~ (all_224_1_135 = 0) | ~ (all_224_2_136 = 0) | all_224_0_134 = 0
% 27.68/9.08 |
% 27.68/9.08 +-Applying beta-rule and splitting (188), into two cases.
% 27.68/9.08 |-Branch one:
% 27.68/9.08 | (322) ~ (all_74_1_110 = 0)
% 27.68/9.08 |
% 27.68/9.08 | Equations (300) can reduce 322 to:
% 27.68/9.08 | (190) $false
% 27.68/9.08 |
% 27.68/9.08 |-The branch is then unsatisfiable
% 27.68/9.08 |-Branch two:
% 27.68/9.08 | (300) all_74_1_110 = 0
% 27.68/9.08 | (325) ~ (all_74_2_111 = 0) | all_74_0_109 = 0
% 27.68/9.08 |
% 27.68/9.08 +-Applying beta-rule and splitting (325), into two cases.
% 27.68/9.08 |-Branch one:
% 27.68/9.08 | (326) ~ (all_74_2_111 = 0)
% 27.68/9.08 |
% 27.68/9.08 | Equations (299) can reduce 326 to:
% 27.68/9.08 | (190) $false
% 27.68/9.08 |
% 27.68/9.08 |-The branch is then unsatisfiable
% 27.68/9.08 |-Branch two:
% 27.68/9.08 | (299) all_74_2_111 = 0
% 27.68/9.08 | (329) all_74_0_109 = 0
% 27.68/9.08 |
% 27.68/9.08 | Combining equations (329,215) yields a new equation:
% 27.68/9.08 | (330) all_60_2_92 = 0
% 27.68/9.08 |
% 27.68/9.08 | From (330) and (178) follows:
% 27.68/9.08 | (331) aScalar0(all_0_3_3) = 0
% 27.68/9.08 |
% 27.68/9.08 | Instantiating formula (86) with all_0_5_5, all_0_3_3, all_224_0_134, all_0_1_1 and discharging atoms sdtlseqdt0(all_0_5_5, all_0_3_3) = all_224_0_134, sdtlseqdt0(all_0_5_5, all_0_3_3) = all_0_1_1, yields:
% 27.68/9.08 | (332) all_224_0_134 = all_0_1_1
% 27.68/9.08 |
% 27.68/9.08 | Instantiating formula (105) with all_0_3_3, all_224_2_136, 0 and discharging atoms aScalar0(all_0_3_3) = all_224_2_136, aScalar0(all_0_3_3) = 0, yields:
% 27.68/9.08 | (333) all_224_2_136 = 0
% 27.68/9.08 |
% 27.68/9.08 | Instantiating formula (105) with all_0_5_5, all_224_1_135, 0 and discharging atoms aScalar0(all_0_5_5) = all_224_1_135, aScalar0(all_0_5_5) = 0, yields:
% 27.68/9.08 | (334) all_224_1_135 = 0
% 27.68/9.08 |
% 27.68/9.08 +-Applying beta-rule and splitting (321), into two cases.
% 27.68/9.08 |-Branch one:
% 27.68/9.08 | (335) ~ (all_224_1_135 = 0)
% 27.68/9.08 |
% 27.68/9.08 | Equations (334) can reduce 335 to:
% 27.68/9.08 | (190) $false
% 27.68/9.08 |
% 27.68/9.08 |-The branch is then unsatisfiable
% 27.68/9.08 |-Branch two:
% 27.68/9.08 | (334) all_224_1_135 = 0
% 27.68/9.08 | (338) ~ (all_224_2_136 = 0) | all_224_0_134 = 0
% 27.68/9.08 |
% 27.68/9.08 +-Applying beta-rule and splitting (338), into two cases.
% 27.68/9.08 |-Branch one:
% 27.68/9.08 | (339) ~ (all_224_2_136 = 0)
% 27.68/9.08 |
% 27.68/9.08 | Equations (333) can reduce 339 to:
% 27.68/9.08 | (190) $false
% 27.68/9.08 |
% 27.68/9.08 |-The branch is then unsatisfiable
% 27.68/9.08 |-Branch two:
% 27.68/9.08 | (333) all_224_2_136 = 0
% 27.68/9.08 | (342) all_224_0_134 = 0
% 27.68/9.08 |
% 27.68/9.08 | Combining equations (342,332) yields a new equation:
% 27.68/9.08 | (201) all_0_1_1 = 0
% 27.68/9.08 |
% 27.68/9.08 | Equations (201) can reduce 13 to:
% 27.68/9.08 | (190) $false
% 27.68/9.08 |
% 27.68/9.08 |-The branch is then unsatisfiable
% 27.68/9.08 % SZS output end Proof for theBenchmark
% 27.68/9.08
% 27.68/9.08 8478ms
%------------------------------------------------------------------------------