TSTP Solution File: RNG070+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : RNG070+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n018.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 16.60s 6.42s
% Output : Proof 28.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : RNG070+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon May 30 12:07:12 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.57/0.58 ____ _
% 0.57/0.58 ___ / __ \_____(_)___ ________ __________
% 0.57/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.57/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.57/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.57/0.58
% 0.57/0.58 A Theorem Prover for First-Order Logic
% 0.57/0.59 (ePrincess v.1.0)
% 0.57/0.59
% 0.57/0.59 (c) Philipp Rümmer, 2009-2015
% 0.57/0.59 (c) Peter Backeman, 2014-2015
% 0.57/0.59 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.57/0.59 Free software under GNU Lesser General Public License (LGPL).
% 0.57/0.59 Bug reports to peter@backeman.se
% 0.57/0.59
% 0.57/0.59 For more information, visit http://user.uu.se/~petba168/breu/
% 0.57/0.59
% 0.57/0.59 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.73/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.86/1.01 Prover 0: Preprocessing ...
% 3.83/1.52 Prover 0: Constructing countermodel ...
% 14.48/5.93 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 14.80/6.05 Prover 1: Preprocessing ...
% 15.66/6.19 Prover 1: Constructing countermodel ...
% 16.60/6.42 Prover 1: proved (493ms)
% 16.60/6.42 Prover 0: stopped
% 16.60/6.42
% 16.60/6.42 No countermodel exists, formula is valid
% 16.60/6.42 % SZS status Theorem for theBenchmark
% 16.60/6.42
% 16.60/6.42 Generating proof ... found it (size 174)
% 27.57/9.01
% 27.57/9.01 % SZS output start Proof for theBenchmark
% 27.57/9.01 Assumed formulas after preprocessing and simplification:
% 27.57/9.01 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ( ~ (v14 = 0) & ~ (v13 = 0) & ~ (v1 = sz00) & sdtasasdt0(xq, xq) = xD & sdtasasdt0(xp, xq) = xE & sdtasasdt0(xp, xp) = xC & sziznziztdt0(xt) = xq & sziznziztdt0(xs) = xp & sdtlbdtrb0(xt, v1) = xB & sdtlbdtrb0(xs, v1) = xA & aVector0(xq) = 0 & aVector0(xp) = 0 & aVector0(xt) = 0 & aVector0(xs) = 0 & aDimensionOf0(xt) = v1 & aDimensionOf0(xs) = v1 & sdtlseqdt0(v11, v9) = v14 & sdtlseqdt0(v10, v12) = 0 & sdtlseqdt0(v9, v11) = v13 & sdtlseqdt0(v5, v8) = 0 & sdtlseqdt0(v4, xN) = 0 & sdtlseqdt0(v2, v3) = 0 & smndt0(sz0z00) = v0 & sdtasdt0(v11, v11) = v12 & sdtasdt0(v9, v9) = v10 & sdtasdt0(xS, xS) = v7 & sdtasdt0(xP, xP) = v4 & sdtasdt0(xR, xS) = xN & sdtasdt0(xR, xR) = v6 & sdtasdt0(xF, xD) = xS & sdtasdt0(xE, xH) = xP & sdtasdt0(xE, xE) = v2 & sdtasdt0(xC, xG) = xR & sdtasdt0(xC, xD) = v3 & sdtasdt0(xB, xB) = xG & sdtasdt0(xA, xB) = xH & sdtasdt0(xA, xA) = xF & sdtpldt0(v6, v7) = v8 & sdtpldt0(v4, v4) = v5 & sdtpldt0(xP, xP) = v9 & sdtpldt0(xR, xS) = v11 & aScalar0(xN) = 0 & aScalar0(xS) = 0 & aScalar0(xP) = 0 & aScalar0(xR) = 0 & aScalar0(xH) = 0 & aScalar0(xG) = 0 & aScalar0(xF) = 0 & aScalar0(xE) = 0 & aScalar0(xD) = 0 & aScalar0(xC) = 0 & aScalar0(xB) = 0 & aScalar0(xA) = 0 & aScalar0(sz0z00) = 0 & aNaturalNumber0(sz00) = 0 & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (sdtasdt0(v16, v18) = v23) | ~ (sdtasdt0(v16, v17) = v22) | ~ (sdtasdt0(v15, v18) = v20) | ~ (sdtasdt0(v15, v17) = v19) | ~ (sdtpldt0(v22, v23) = v24) | ~ (sdtpldt0(v21, v24) = v25) | ~ (sdtpldt0(v19, v20) = v21) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : (sdtasdt0(v30, v31) = v32 & sdtpldt0(v17, v18) = v31 & sdtpldt0(v15, v16) = v30 & aScalar0(v18) = v29 & aScalar0(v17) = v28 & aScalar0(v16) = v27 & aScalar0(v15) = v26 & ( ~ (v29 = 0) | ~ (v28 = 0) | ~ (v27 = 0) | ~ (v26 = 0) | v32 = v25))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v17 = sz00 | ~ (sdtasasdt0(v18, v19) = v20) | ~ (sziznziztdt0(v16) = v19) | ~ (sziznziztdt0(v15) = v18) | ~ (sdtlbdtrb0(v16, v17) = v22) | ~ (sdtlbdtrb0(v15, v17) = v21) | ~ (aDimensionOf0(v16) = v17) | ~ (aDimensionOf0(v15) = v17) | ~ (sdtasdt0(v21, v22) = v23) | ~ (sdtpldt0(v20, v23) = v24) | ? [v25] : ? [v26] : ? [v27] : (sdtasasdt0(v15, v16) = v27 & aVector0(v16) = v26 & aVector0(v15) = v25 & ( ~ (v26 = 0) | ~ (v25 = 0) | v27 = v24))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = 0 | ~ (sdtasasdt0(v16, v16) = v20) | ~ (sdtasasdt0(v15, v16) = v17) | ~ (sdtasasdt0(v15, v15) = v19) | ~ (sdtlseqdt0(v18, v21) = v22) | ~ (sdtasdt0(v19, v20) = v21) | ~ (sdtasdt0(v17, v17) = v18) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : (aVector0(v16) = v24 & aVector0(v15) = v23 & aDimensionOf0(v16) = v26 & aDimensionOf0(v15) = v25 & iLess0(v25, v1) = v27 & ( ~ (v27 = 0) | ~ (v26 = v25) | ~ (v24 = 0) | ~ (v23 = 0)))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v21 = 0 | ~ (sdtlseqdt0(v19, v20) = v21) | ~ (sdtasdt0(v16, v18) = v20) | ~ (sdtasdt0(v15, v17) = v19) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (sdtlseqdt0(v17, v18) = v28 & sdtlseqdt0(v15, v16) = v26 & sdtlseqdt0(sz0z00, v17) = v27 & aScalar0(v18) = v25 & aScalar0(v17) = v24 & aScalar0(v16) = v23 & aScalar0(v15) = v22 & ( ~ (v28 = 0) | ~ (v27 = 0) | ~ (v26 = 0) | ~ (v25 = 0) | ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0)))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v21 = 0 | ~ (sdtlseqdt0(v19, v20) = v21) | ~ (sdtpldt0(v16, v18) = v20) | ~ (sdtpldt0(v15, v17) = v19) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : (sdtlseqdt0(v17, v18) = v27 & sdtlseqdt0(v15, v16) = v26 & aScalar0(v18) = v25 & aScalar0(v17) = v24 & aScalar0(v16) = v23 & aScalar0(v15) = v22 & ( ~ (v27 = 0) | ~ (v26 = 0) | ~ (v25 = 0) | ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0)))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (sdtasdt0(v15, v17) = v19) | ~ (sdtasdt0(v15, v16) = v18) | ~ (sdtpldt0(v18, v19) = v20) | ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : (sdtasdt0(v26, v17) = v27 & sdtasdt0(v16, v17) = v28 & sdtasdt0(v15, v24) = v25 & sdtpldt0(v19, v28) = v29 & sdtpldt0(v16, v17) = v24 & sdtpldt0(v15, v16) = v26 & aScalar0(v17) = v23 & aScalar0(v16) = v22 & aScalar0(v15) = v21 & ( ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | (v29 = v27 & v25 = v20)))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (smndt0(v16) = v18) | ~ (smndt0(v15) = v17) | ~ (sdtasdt0(v17, v18) = v19) | ? [v20] : ? [v21] : ? [v22] : (sdtasdt0(v15, v16) = v22 & aScalar0(v16) = v21 & aScalar0(v15) = v20 & ( ~ (v21 = 0) | ~ (v20 = 0) | v22 = v19))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (sdtpldt0(v18, v17) = v19) | ~ (sdtpldt0(v15, v16) = v18) | ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : (sdtasdt0(v26, v17) = v27 & sdtasdt0(v16, v17) = v28 & sdtasdt0(v16, v15) = v30 & sdtasdt0(v15, v28) = v29 & sdtasdt0(v15, v16) = v26 & sdtpldt0(v16, v17) = v23 & sdtpldt0(v16, v15) = v25 & sdtpldt0(v15, v23) = v24 & aScalar0(v17) = v22 & aScalar0(v16) = v21 & aScalar0(v15) = v20 & ( ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | (v30 = v26 & v29 = v27 & v25 = v18 & v24 = v19)))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = 0 | ~ (sdtlseqdt0(v15, v17) = v18) | ~ (sdtlseqdt0(v15, v16) = 0) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : (sdtlseqdt0(v16, v17) = v22 & aScalar0(v17) = v21 & aScalar0(v16) = v20 & aScalar0(v15) = v19 & ( ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0)))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v16 = v15 | ~ (sdtasasdt0(v18, v17) = v16) | ~ (sdtasasdt0(v18, v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v16 = v15 | ~ (sdtlbdtrb0(v18, v17) = v16) | ~ (sdtlbdtrb0(v18, v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v16 = v15 | ~ (sdtlseqdt0(v18, v17) = v16) | ~ (sdtlseqdt0(v18, v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v16 = v15 | ~ (sdtasdt0(v18, v17) = v16) | ~ (sdtasdt0(v18, v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v16 = v15 | ~ (sdtpldt0(v18, v17) = v16) | ~ (sdtpldt0(v18, v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v16 = v15 | ~ (iLess0(v18, v17) = v16) | ~ (iLess0(v18, v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (sziznziztdt0(v16) = v18) | ~ (sziznziztdt0(v15) = v17) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : (aVector0(v16) = v20 & aVector0(v15) = v19 & aDimensionOf0(v18) = v24 & aDimensionOf0(v17) = v23 & aDimensionOf0(v16) = v22 & aDimensionOf0(v15) = v21 & ( ~ (v22 = v21) | ~ (v20 = 0) | ~ (v19 = 0) | v24 = v23 | v21 = sz00))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (smndt0(v15) = v17) | ~ (sdtasdt0(v17, v16) = v18) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : (smndt0(v23) = v24 & smndt0(v16) = v21 & sdtasdt0(v15, v21) = v22 & sdtasdt0(v15, v16) = v23 & aScalar0(v16) = v20 & aScalar0(v15) = v19 & ( ~ (v20 = 0) | ~ (v19 = 0) | (v24 = v18 & v22 = v18)))) & ! [v15] : ! [v16] : ! [v17] : (v17 = sz0z00 | ~ (sdtasasdt0(v15, v16) = v17) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : (aVector0(v16) = v19 & aVector0(v15) = v18 & aDimensionOf0(v16) = v21 & aDimensionOf0(v15) = v20 & ( ~ (v21 = sz00) | ~ (v20 = sz00) | ~ (v19 = 0) | ~ (v18 = 0)))) & ! [v15] : ! [v16] : ! [v17] : (v17 = 0 | ~ (sdtlseqdt0(v15, v16) = v17) | ? [v18] : ? [v19] : ? [v20] : (sdtlseqdt0(v16, v15) = v20 & aScalar0(v16) = v19 & aScalar0(v15) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0) | v20 = 0))) & ! [v15] : ! [v16] : ! [v17] : (v17 = 0 | ~ (iLess0(v15, v16) = v17) | ~ (szszuzczcdt0(v15) = v16) | ? [v18] : ( ~ (v18 = 0) & aNaturalNumber0(v15) = v18)) & ! [v15] : ! [v16] : ! [v17] : (v16 = v15 | ~ (sziznziztdt0(v17) = v16) | ~ (sziznziztdt0(v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : (v16 = v15 | ~ (aVector0(v17) = v16) | ~ (aVector0(v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : (v16 = v15 | ~ (aDimensionOf0(v17) = v16) | ~ (aDimensionOf0(v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : (v16 = v15 | ~ (smndt0(v17) = v16) | ~ (smndt0(v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : (v16 = v15 | ~ (aScalar0(v17) = v16) | ~ (aScalar0(v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : (v16 = v15 | ~ (szszuzczcdt0(v17) = v16) | ~ (szszuzczcdt0(v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : (v16 = v15 | ~ (szszuzczcdt0(v16) = v17) | ~ (szszuzczcdt0(v15) = v17) | ? [v18] : ? [v19] : (aNaturalNumber0(v16) = v19 & aNaturalNumber0(v15) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0)))) & ! [v15] : ! [v16] : ! [v17] : (v16 = v15 | ~ (aNaturalNumber0(v17) = v16) | ~ (aNaturalNumber0(v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : ( ~ (sdtasasdt0(v15, v16) = v17) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : (aVector0(v16) = v19 & aVector0(v15) = v18 & aDimensionOf0(v16) = v21 & aDimensionOf0(v15) = v20 & aScalar0(v17) = v22 & ( ~ (v21 = v20) | ~ (v19 = 0) | ~ (v18 = 0) | v22 = 0))) & ! [v15] : ! [v16] : ! [v17] : ( ~ (sdtlbdtrb0(v15, v16) = v17) | ? [v18] : ? [v19] : ? [v20] : (aVector0(v15) = v18 & aScalar0(v17) = v20 & aNaturalNumber0(v16) = v19 & ( ~ (v19 = 0) | ~ (v18 = 0) | v20 = 0))) & ! [v15] : ! [v16] : ! [v17] : ( ~ (smndt0(v15) = v16) | ~ (sdtpldt0(v16, v15) = v17) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : (smndt0(v16) = v24 & sdtasdt0(v15, sz0z00) = v21 & sdtasdt0(sz0z00, v15) = v22 & sdtpldt0(v15, v16) = v23 & sdtpldt0(v15, sz0z00) = v19 & sdtpldt0(sz0z00, v15) = v20 & aScalar0(v15) = v18 & ( ~ (v18 = 0) | (v24 = v15 & v23 = sz0z00 & v22 = sz0z00 & v21 = sz0z00 & v20 = v15 & v19 = v15 & v17 = sz0z00 & v0 = sz0z00)))) & ! [v15] : ! [v16] : ! [v17] : ( ~ (sdtasdt0(v15, v16) = v17) | ? [v18] : ? [v19] : ? [v20] : (aScalar0(v17) = v20 & aScalar0(v16) = v19 & aScalar0(v15) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0) | v20 = 0))) & ! [v15] : ! [v16] : ! [v17] : ( ~ (sdtpldt0(v15, v16) = v17) | ? [v18] : ? [v19] : ? [v20] : (aScalar0(v17) = v20 & aScalar0(v16) = v19 & aScalar0(v15) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0) | v20 = 0))) & ! [v15] : ! [v16] : (v16 = v15 | ~ (sdtlseqdt0(v15, v16) = 0) | ? [v17] : ? [v18] : ? [v19] : (sdtlseqdt0(v16, v15) = v19 & aScalar0(v16) = v18 & aScalar0(v15) = v17 & ( ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0)))) & ! [v15] : ! [v16] : (v16 = v15 | ~ (sdtlseqdt0(sz0z00, v16) = 0) | ~ (sdtlseqdt0(sz0z00, v15) = 0) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : (sdtasdt0(v16, v16) = v20 & sdtasdt0(v15, v15) = v19 & aScalar0(v16) = v18 & aScalar0(v15) = v17 & ( ~ (v20 = v19) | ~ (v18 = 0) | ~ (v17 = 0)))) & ! [v15] : ! [v16] : (v16 = 0 | ~ (sdtlseqdt0(v15, v15) = v16) | ? [v17] : ( ~ (v17 = 0) & aScalar0(v15) = v17)) & ! [v15] : ! [v16] : ( ~ (sdtasasdt0(v15, v15) = v16) | ? [v17] : ? [v18] : (aVector0(v15) = v17 & sdtlseqdt0(sz0z00, v16) = v18 & ( ~ (v17 = 0) | v18 = 0))) & ! [v15] : ! [v16] : ( ~ (sziznziztdt0(v15) = v16) | ? [v17] : ? [v18] : (aVector0(v15) = v17 & aDimensionOf0(v15) = v18 & ( ~ (v17 = 0) | v18 = sz00 | ( ! [v19] : ! [v20] : ! [v21] : ( ~ (sdtlbdtrb0(v15, v20) = v21) | ~ (aVector0(v16) = v19) | ? [v22] : ? [v23] : (sdtlbdtrb0(v16, v20) = v23 & aNaturalNumber0(v20) = v22 & ( ~ (v22 = 0) | v23 = v21))) & ! [v19] : (v19 = v16 | ~ (aVector0(v19) = 0) | ? [v20] : ? [v21] : ? [v22] : ? [v23] : ((v21 = 0 & ~ (v23 = v22) & sdtlbdtrb0(v19, v20) = v22 & sdtlbdtrb0(v15, v20) = v23 & aNaturalNumber0(v20) = 0) | ( ~ (v21 = v18) & aDimensionOf0(v19) = v20 & szszuzczcdt0(v20) = v21))) & ! [v19] : (v19 = 0 | ~ (aVector0(v16) = v19)) & ! [v19] : ( ~ (aVector0(v16) = v19) | ? [v20] : (aDimensionOf0(v16) = v20 & szszuzczcdt0(v20) = v18)))))) & ! [v15] : ! [v16] : ( ~ (sdtlseqdt0(sz0z00, v16) = 0) | ~ (sdtlseqdt0(sz0z00, v15) = 0) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : (sdtlseqdt0(sz0z00, v21) = v22 & sdtlseqdt0(sz0z00, v19) = v20 & sdtasdt0(v15, v16) = v21 & sdtpldt0(v15, v16) = v19 & aScalar0(v16) = v18 & aScalar0(v15) = v17 & ( ~ (v18 = 0) | ~ (v17 = 0) | (v22 = 0 & v20 = 0)))) & ! [v15] : ! [v16] : ( ~ (smndt0(v15) = v16) | ? [v17] : ? [v18] : (aScalar0(v16) = v18 & aScalar0(v15) = v17 & ( ~ (v17 = 0) | v18 = 0))) & ! [v15] : ! [v16] : ( ~ (sdtasdt0(v15, v15) = v16) | ? [v17] : ? [v18] : (sdtlseqdt0(sz0z00, v16) = v18 & aScalar0(v15) = v17 & ( ~ (v17 = 0) | v18 = 0))) & ! [v15] : ! [v16] : ( ~ (szszuzczcdt0(v15) = v16) | ? [v17] : ? [v18] : (aNaturalNumber0(v16) = v18 & aNaturalNumber0(v15) = v17 & ( ~ (v17 = 0) | (v18 = 0 & ~ (v16 = sz00))))) & ! [v15] : (v15 = sz00 | ~ (aNaturalNumber0(v15) = 0) | ? [v16] : (szszuzczcdt0(v16) = v15 & aNaturalNumber0(v16) = 0)) & ! [v15] : ( ~ (aVector0(v15) = 0) | ? [v16] : (aDimensionOf0(v15) = v16 & aNaturalNumber0(v16) = 0)))
% 27.85/9.06 | 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 yields:
% 27.85/9.06 | (1) ~ (all_0_0_0 = 0) & ~ (all_0_1_1 = 0) & ~ (all_0_13_13 = sz00) & sdtasasdt0(xq, xq) = xD & sdtasasdt0(xp, xq) = xE & sdtasasdt0(xp, xp) = xC & sziznziztdt0(xt) = xq & sziznziztdt0(xs) = xp & sdtlbdtrb0(xt, all_0_13_13) = xB & sdtlbdtrb0(xs, all_0_13_13) = xA & aVector0(xq) = 0 & aVector0(xp) = 0 & aVector0(xt) = 0 & aVector0(xs) = 0 & aDimensionOf0(xt) = all_0_13_13 & aDimensionOf0(xs) = all_0_13_13 & 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_14_14 & 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 & 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_13_13) = 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_14_14 = sz0z00)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasdt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (aScalar0(v2) = v5 & aScalar0(v1) = v4 & aScalar0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (aScalar0(v2) = v5 & aScalar0(v1) = v4 & aScalar0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (sdtlseqdt0(v0, v1) = 0) | ? [v2] : ? [v3] : ? [v4] : (sdtlseqdt0(v1, v0) = v4 & aScalar0(v1) = v3 & aScalar0(v0) = v2 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (sdtlseqdt0(sz0z00, v1) = 0) | ~ (sdtlseqdt0(sz0z00, v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (sdtasdt0(v1, v1) = v5 & sdtasdt0(v0, v0) = v4 & aScalar0(v1) = v3 & aScalar0(v0) = v2 & ( ~ (v5 = v4) | ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (sdtlseqdt0(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & aScalar0(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (sdtasasdt0(v0, v0) = v1) | ? [v2] : ? [v3] : (aVector0(v0) = v2 & sdtlseqdt0(sz0z00, v1) = v3 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (sziznziztdt0(v0) = v1) | ? [v2] : ? [v3] : (aVector0(v0) = v2 & aDimensionOf0(v0) = v3 & ( ~ (v2 = 0) | v3 = sz00 | ( ! [v4] : ! [v5] : ! [v6] : ( ~ (sdtlbdtrb0(v0, v5) = v6) | ~ (aVector0(v1) = v4) | ? [v7] : ? [v8] : (sdtlbdtrb0(v1, v5) = v8 & aNaturalNumber0(v5) = v7 & ( ~ (v7 = 0) | v8 = v6))) & ! [v4] : (v4 = v1 | ~ (aVector0(v4) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ((v6 = 0 & ~ (v8 = v7) & sdtlbdtrb0(v4, v5) = v7 & sdtlbdtrb0(v0, v5) = v8 & aNaturalNumber0(v5) = 0) | ( ~ (v6 = v3) & aDimensionOf0(v4) = v5 & szszuzczcdt0(v5) = v6))) & ! [v4] : (v4 = 0 | ~ (aVector0(v1) = v4)) & ! [v4] : ( ~ (aVector0(v1) = v4) | ? [v5] : (aDimensionOf0(v1) = v5 & szszuzczcdt0(v5) = v3)))))) & ! [v0] : ! [v1] : ( ~ (sdtlseqdt0(sz0z00, v1) = 0) | ~ (sdtlseqdt0(sz0z00, v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (sdtlseqdt0(sz0z00, v6) = v7 & sdtlseqdt0(sz0z00, v4) = v5 & sdtasdt0(v0, v1) = v6 & sdtpldt0(v0, v1) = v4 & aScalar0(v1) = v3 & aScalar0(v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | (v7 = 0 & v5 = 0)))) & ! [v0] : ! [v1] : ( ~ (smndt0(v0) = v1) | ? [v2] : ? [v3] : (aScalar0(v1) = v3 & aScalar0(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (sdtasdt0(v0, v0) = v1) | ? [v2] : ? [v3] : (sdtlseqdt0(sz0z00, v1) = v3 & aScalar0(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (szszuzczcdt0(v0) = v1) | ? [v2] : ? [v3] : (aNaturalNumber0(v1) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v2 = 0) | (v3 = 0 & ~ (v1 = sz00))))) & ! [v0] : (v0 = sz00 | ~ (aNaturalNumber0(v0) = 0) | ? [v1] : (szszuzczcdt0(v1) = v0 & aNaturalNumber0(v1) = 0)) & ! [v0] : ( ~ (aVector0(v0) = 0) | ? [v1] : (aDimensionOf0(v0) = v1 & aNaturalNumber0(v1) = 0))
% 27.85/9.08 |
% 27.85/9.08 | Applying alpha-rule on (1) yields:
% 27.85/9.08 | (2) aDimensionOf0(xt) = all_0_13_13
% 27.85/9.08 | (3) sdtasdt0(xA, xA) = xF
% 27.85/9.08 | (4) sdtasdt0(xC, xG) = xR
% 27.85/9.08 | (5) sdtasasdt0(xq, xq) = xD
% 27.85/9.08 | (6) sdtpldt0(all_0_10_10, all_0_10_10) = all_0_9_9
% 27.85/9.08 | (7) aScalar0(xH) = 0
% 27.85/9.08 | (8) aScalar0(sz0z00) = 0
% 27.85/9.08 | (9) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtlseqdt0(v3, v2) = v1) | ~ (sdtlseqdt0(v3, v2) = v0))
% 27.85/9.08 | (10) sdtasdt0(xF, xD) = xS
% 27.85/9.08 | (11) aNaturalNumber0(sz00) = 0
% 27.85/9.08 | (12) ! [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))))
% 27.85/9.08 | (13) ! [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))))
% 27.85/9.08 | (14) aDimensionOf0(xs) = all_0_13_13
% 27.85/9.08 | (15) ! [v0] : (v0 = sz00 | ~ (aNaturalNumber0(v0) = 0) | ? [v1] : (szszuzczcdt0(v1) = v0 & aNaturalNumber0(v1) = 0))
% 27.85/9.08 | (16) sdtlseqdt0(all_0_4_4, all_0_2_2) = 0
% 27.85/9.08 | (17) ! [v0] : ! [v1] : ( ~ (sdtasdt0(v0, v0) = v1) | ? [v2] : ? [v3] : (sdtlseqdt0(sz0z00, v1) = v3 & aScalar0(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 27.85/9.08 | (18) ! [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))))
% 27.85/9.08 | (19) sdtasdt0(xR, xR) = all_0_8_8
% 27.85/9.08 | (20) ! [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))))
% 27.85/9.08 | (21) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aNaturalNumber0(v2) = v1) | ~ (aNaturalNumber0(v2) = v0))
% 27.85/9.08 | (22) ! [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)))
% 27.85/9.08 | (23) ~ (all_0_13_13 = sz00)
% 27.85/9.08 | (24) aScalar0(xA) = 0
% 27.85/9.08 | (25) ! [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_14_14 = sz0z00))))
% 27.85/9.08 | (26) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0))
% 27.85/9.08 | (27) ! [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))))
% 27.85/9.09 | (28) sdtlbdtrb0(xt, all_0_13_13) = xB
% 27.85/9.09 | (29) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtasdt0(v3, v2) = v1) | ~ (sdtasdt0(v3, v2) = v0))
% 27.85/9.09 | (30) sdtasdt0(all_0_3_3, all_0_3_3) = all_0_2_2
% 27.85/9.09 | (31) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (szszuzczcdt0(v2) = v1) | ~ (szszuzczcdt0(v2) = v0))
% 27.85/9.09 | (32) sdtasdt0(xB, xB) = xG
% 27.85/9.09 | (33) sdtasasdt0(xp, xp) = xC
% 27.85/9.09 | (34) sdtasdt0(all_0_5_5, all_0_5_5) = all_0_4_4
% 27.85/9.09 | (35) sdtlseqdt0(all_0_5_5, all_0_3_3) = all_0_1_1
% 27.85/9.09 | (36) ! [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_13_13) = v12 & ( ~ (v12 = 0) | ~ (v11 = v10) | ~ (v9 = 0) | ~ (v8 = 0))))
% 27.85/9.09 | (37) sdtlseqdt0(all_0_3_3, all_0_5_5) = all_0_0_0
% 27.85/9.09 | (38) aScalar0(xS) = 0
% 27.85/9.09 | (39) aScalar0(xR) = 0
% 27.85/9.09 | (40) sdtasdt0(xP, xP) = all_0_10_10
% 27.85/9.09 | (41) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtasasdt0(v3, v2) = v1) | ~ (sdtasasdt0(v3, v2) = v0))
% 27.85/9.09 | (42) ! [v0] : ! [v1] : (v1 = 0 | ~ (sdtlseqdt0(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & aScalar0(v0) = v2))
% 27.85/9.09 | (43) ~ (all_0_1_1 = 0)
% 27.85/9.09 | (44) ! [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)))
% 27.85/9.09 | (45) ! [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))))
% 27.85/9.09 | (46) ! [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)))
% 27.85/9.09 | (47) sdtasdt0(xE, xE) = all_0_12_12
% 27.85/9.09 | (48) aVector0(xp) = 0
% 27.85/9.09 | (49) ~ (all_0_0_0 = 0)
% 27.85/9.09 | (50) aScalar0(xP) = 0
% 27.85/9.09 | (51) aVector0(xq) = 0
% 27.85/9.09 | (52) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aDimensionOf0(v2) = v1) | ~ (aDimensionOf0(v2) = v0))
% 27.85/9.09 | (53) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (smndt0(v2) = v1) | ~ (smndt0(v2) = v0))
% 27.85/9.09 | (54) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtlbdtrb0(v3, v2) = v1) | ~ (sdtlbdtrb0(v3, v2) = v0))
% 27.85/9.09 | (55) ! [v0] : ! [v1] : ( ~ (szszuzczcdt0(v0) = v1) | ? [v2] : ? [v3] : (aNaturalNumber0(v1) = v3 & aNaturalNumber0(v0) = v2 & ( ~ (v2 = 0) | (v3 = 0 & ~ (v1 = sz00)))))
% 27.85/9.09 | (56) aVector0(xs) = 0
% 27.85/9.09 | (57) sdtasasdt0(xp, xq) = xE
% 27.85/9.09 | (58) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (sziznziztdt0(v2) = v1) | ~ (sziznziztdt0(v2) = v0))
% 27.85/9.09 | (59) sdtasdt0(xC, xD) = all_0_11_11
% 27.85/9.09 | (60) ! [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)))
% 27.85/9.09 | (61) smndt0(sz0z00) = all_0_14_14
% 27.85/9.09 | (62) sdtlseqdt0(all_0_9_9, all_0_6_6) = 0
% 27.85/9.09 | (63) sdtasdt0(xS, xS) = all_0_7_7
% 27.85/9.09 | (64) sdtlbdtrb0(xs, all_0_13_13) = xA
% 27.85/9.09 | (65) sziznziztdt0(xt) = xq
% 27.85/9.09 | (66) sdtlseqdt0(all_0_12_12, all_0_11_11) = 0
% 27.85/9.09 | (67) sziznziztdt0(xs) = xp
% 27.85/9.09 | (68) ! [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))))
% 27.85/9.09 | (69) ! [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))))
% 27.85/9.09 | (70) ! [v0] : ( ~ (aVector0(v0) = 0) | ? [v1] : (aDimensionOf0(v0) = v1 & aNaturalNumber0(v1) = 0))
% 27.85/9.09 | (71) ! [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)))
% 27.85/9.09 | (72) sdtlseqdt0(all_0_10_10, xN) = 0
% 27.85/9.09 | (73) ! [v0] : ! [v1] : ( ~ (smndt0(v0) = v1) | ? [v2] : ? [v3] : (aScalar0(v1) = v3 & aScalar0(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 27.85/9.09 | (74) ! [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))))))
% 27.85/9.10 | (75) ! [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)))
% 27.85/9.10 | (76) ! [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))))
% 27.85/9.10 | (77) aScalar0(xB) = 0
% 27.85/9.10 | (78) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (szszuzczcdt0(v1) = v2) | ~ (szszuzczcdt0(v0) = v2) | ? [v3] : ? [v4] : (aNaturalNumber0(v1) = v4 & aNaturalNumber0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0))))
% 27.85/9.10 | (79) ! [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))))
% 27.85/9.10 | (80) aScalar0(xF) = 0
% 27.85/9.10 | (81) sdtpldt0(all_0_8_8, all_0_7_7) = all_0_6_6
% 27.85/9.10 | (82) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (iLess0(v0, v1) = v2) | ~ (szszuzczcdt0(v0) = v1) | ? [v3] : ( ~ (v3 = 0) & aNaturalNumber0(v0) = v3))
% 27.85/9.10 | (83) aScalar0(xN) = 0
% 27.85/9.10 | (84) aScalar0(xC) = 0
% 27.85/9.10 | (85) sdtpldt0(xP, xP) = all_0_5_5
% 27.85/9.10 | (86) aVector0(xt) = 0
% 27.85/9.10 | (87) ! [v0] : ! [v1] : ( ~ (sdtasasdt0(v0, v0) = v1) | ? [v2] : ? [v3] : (aVector0(v0) = v2 & sdtlseqdt0(sz0z00, v1) = v3 & ( ~ (v2 = 0) | v3 = 0)))
% 27.85/9.10 | (88) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (iLess0(v3, v2) = v1) | ~ (iLess0(v3, v2) = v0))
% 27.85/9.10 | (89) sdtasdt0(xE, xH) = xP
% 27.85/9.10 | (90) sdtasdt0(xA, xB) = xH
% 27.85/9.10 | (91) sdtasdt0(xR, xS) = xN
% 27.85/9.10 | (92) aScalar0(xD) = 0
% 27.85/9.10 | (93) ! [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)))
% 27.85/9.10 | (94) ! [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)))
% 27.85/9.10 | (95) aScalar0(xE) = 0
% 27.85/9.10 | (96) sdtpldt0(xR, xS) = all_0_3_3
% 27.85/9.10 | (97) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aScalar0(v2) = v1) | ~ (aScalar0(v2) = v0))
% 27.85/9.10 | (98) aScalar0(xG) = 0
% 27.85/9.10 | (99) ! [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)))
% 27.85/9.10 | (100) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aVector0(v2) = v1) | ~ (aVector0(v2) = v0))
% 27.85/9.10 |
% 27.85/9.10 | Instantiating formula (75) 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:
% 27.85/9.10 | (101) 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))
% 27.85/9.10 |
% 27.85/9.10 | Instantiating formula (75) with all_0_1_1, all_0_3_3, all_0_5_5 and discharging atoms sdtlseqdt0(all_0_5_5, all_0_3_3) = all_0_1_1, yields:
% 27.85/9.10 | (102) all_0_1_1 = 0 | ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(all_0_3_3, all_0_5_5) = v2 & aScalar0(all_0_3_3) = v1 & aScalar0(all_0_5_5) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 27.85/9.10 |
% 27.85/9.10 | Instantiating formula (17) 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:
% 27.85/9.10 | (103) ? [v0] : ? [v1] : (sdtlseqdt0(sz0z00, all_0_2_2) = v1 & aScalar0(all_0_3_3) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 27.85/9.10 |
% 27.85/9.10 | Instantiating formula (46) 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:
% 27.85/9.10 | (104) ? [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))
% 27.85/9.10 |
% 27.85/9.10 | Instantiating formula (17) 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:
% 27.85/9.10 | (105) ? [v0] : ? [v1] : (sdtlseqdt0(sz0z00, all_0_4_4) = v1 & aScalar0(all_0_5_5) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 27.85/9.11 |
% 27.85/9.11 | Instantiating formula (46) 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:
% 27.85/9.11 | (106) ? [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))
% 27.85/9.11 |
% 27.85/9.11 | Instantiating formula (17) with all_0_7_7, xS and discharging atoms sdtasdt0(xS, xS) = all_0_7_7, yields:
% 27.85/9.11 | (107) ? [v0] : ? [v1] : (sdtlseqdt0(sz0z00, all_0_7_7) = v1 & aScalar0(xS) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 27.85/9.11 |
% 27.85/9.11 | Instantiating formula (46) with all_0_7_7, xS, xS and discharging atoms sdtasdt0(xS, xS) = all_0_7_7, yields:
% 27.85/9.11 | (108) ? [v0] : ? [v1] : ? [v2] : (aScalar0(all_0_7_7) = v2 & aScalar0(xS) = v1 & aScalar0(xS) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 27.85/9.11 |
% 27.85/9.11 | Instantiating formula (17) with all_0_10_10, xP and discharging atoms sdtasdt0(xP, xP) = all_0_10_10, yields:
% 27.85/9.11 | (109) ? [v0] : ? [v1] : (sdtlseqdt0(sz0z00, all_0_10_10) = v1 & aScalar0(xP) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 27.85/9.11 |
% 27.85/9.11 | Instantiating formula (46) with all_0_10_10, xP, xP and discharging atoms sdtasdt0(xP, xP) = all_0_10_10, yields:
% 27.85/9.11 | (110) ? [v0] : ? [v1] : ? [v2] : (aScalar0(all_0_10_10) = v2 & aScalar0(xP) = v1 & aScalar0(xP) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 27.85/9.11 |
% 27.85/9.11 | Instantiating formula (17) with all_0_8_8, xR and discharging atoms sdtasdt0(xR, xR) = all_0_8_8, yields:
% 27.85/9.11 | (111) ? [v0] : ? [v1] : (sdtlseqdt0(sz0z00, all_0_8_8) = v1 & aScalar0(xR) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 27.85/9.11 |
% 27.85/9.11 | Instantiating formula (46) with all_0_8_8, xR, xR and discharging atoms sdtasdt0(xR, xR) = all_0_8_8, yields:
% 27.85/9.11 | (112) ? [v0] : ? [v1] : ? [v2] : (aScalar0(all_0_8_8) = v2 & aScalar0(xR) = v1 & aScalar0(xR) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 27.85/9.11 |
% 27.85/9.11 | Instantiating formula (12) 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:
% 27.85/9.11 | (113) ? [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)))
% 27.85/9.11 |
% 27.85/9.11 | Instantiating formula (71) with all_0_5_5, xP, xP and discharging atoms sdtpldt0(xP, xP) = all_0_5_5, yields:
% 27.85/9.11 | (114) ? [v0] : ? [v1] : ? [v2] : (aScalar0(all_0_5_5) = v2 & aScalar0(xP) = v1 & aScalar0(xP) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 27.85/9.11 |
% 27.85/9.11 | Instantiating formula (27) 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:
% 27.85/9.11 | (115) 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)))
% 27.85/9.11 |
% 27.85/9.11 | Instantiating formula (27) 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:
% 27.85/9.11 | (116) 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)))
% 27.85/9.11 |
% 27.85/9.11 | Instantiating formula (71) with all_0_3_3, xS, xR and discharging atoms sdtpldt0(xR, xS) = all_0_3_3, yields:
% 27.85/9.11 | (117) ? [v0] : ? [v1] : ? [v2] : (aScalar0(all_0_3_3) = v2 & aScalar0(xS) = v1 & aScalar0(xR) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 27.85/9.11 |
% 27.85/9.11 | Instantiating (117) with all_8_0_15, all_8_1_16, all_8_2_17 yields:
% 27.85/9.11 | (118) aScalar0(all_0_3_3) = all_8_0_15 & aScalar0(xS) = all_8_1_16 & aScalar0(xR) = all_8_2_17 & ( ~ (all_8_1_16 = 0) | ~ (all_8_2_17 = 0) | all_8_0_15 = 0)
% 27.85/9.11 |
% 27.85/9.11 | Applying alpha-rule on (118) yields:
% 27.85/9.11 | (119) aScalar0(all_0_3_3) = all_8_0_15
% 27.85/9.11 | (120) aScalar0(xS) = all_8_1_16
% 27.85/9.11 | (121) aScalar0(xR) = all_8_2_17
% 27.85/9.11 | (122) ~ (all_8_1_16 = 0) | ~ (all_8_2_17 = 0) | all_8_0_15 = 0
% 27.85/9.11 |
% 27.85/9.11 | Instantiating (114) with all_10_0_18, all_10_1_19, all_10_2_20 yields:
% 27.85/9.11 | (123) aScalar0(all_0_5_5) = all_10_0_18 & aScalar0(xP) = all_10_1_19 & aScalar0(xP) = all_10_2_20 & ( ~ (all_10_1_19 = 0) | ~ (all_10_2_20 = 0) | all_10_0_18 = 0)
% 27.85/9.11 |
% 27.85/9.11 | Applying alpha-rule on (123) yields:
% 27.85/9.11 | (124) aScalar0(all_0_5_5) = all_10_0_18
% 27.85/9.11 | (125) aScalar0(xP) = all_10_1_19
% 27.85/9.11 | (126) aScalar0(xP) = all_10_2_20
% 27.85/9.11 | (127) ~ (all_10_1_19 = 0) | ~ (all_10_2_20 = 0) | all_10_0_18 = 0
% 27.85/9.11 |
% 27.85/9.11 | Instantiating (113) with all_12_0_21, all_12_1_22, all_12_2_23, all_12_3_24, all_12_4_25, all_12_5_26, all_12_6_27, all_12_7_28, all_12_8_29 yields:
% 27.85/9.11 | (128) sdtasdt0(all_12_3_24, xP) = all_12_2_23 & sdtasdt0(xP, all_12_5_26) = all_12_4_25 & sdtasdt0(xP, xP) = all_12_1_22 & sdtpldt0(all_0_10_10, all_12_1_22) = all_12_0_21 & sdtpldt0(xP, xP) = all_12_3_24 & sdtpldt0(xP, xP) = all_12_5_26 & aScalar0(xP) = all_12_6_27 & aScalar0(xP) = all_12_7_28 & aScalar0(xP) = all_12_8_29 & ( ~ (all_12_6_27 = 0) | ~ (all_12_7_28 = 0) | ~ (all_12_8_29 = 0) | (all_12_0_21 = all_12_2_23 & all_12_4_25 = all_0_9_9))
% 27.85/9.11 |
% 27.85/9.11 | Applying alpha-rule on (128) yields:
% 27.85/9.11 | (129) sdtasdt0(all_12_3_24, xP) = all_12_2_23
% 27.85/9.11 | (130) ~ (all_12_6_27 = 0) | ~ (all_12_7_28 = 0) | ~ (all_12_8_29 = 0) | (all_12_0_21 = all_12_2_23 & all_12_4_25 = all_0_9_9)
% 27.85/9.11 | (131) sdtpldt0(all_0_10_10, all_12_1_22) = all_12_0_21
% 27.85/9.11 | (132) sdtpldt0(xP, xP) = all_12_5_26
% 27.85/9.11 | (133) sdtasdt0(xP, xP) = all_12_1_22
% 27.85/9.11 | (134) aScalar0(xP) = all_12_7_28
% 27.85/9.11 | (135) aScalar0(xP) = all_12_8_29
% 27.85/9.11 | (136) sdtasdt0(xP, all_12_5_26) = all_12_4_25
% 27.85/9.11 | (137) aScalar0(xP) = all_12_6_27
% 27.85/9.11 | (138) sdtpldt0(xP, xP) = all_12_3_24
% 27.85/9.11 |
% 27.85/9.11 | Instantiating (108) with all_24_0_49, all_24_1_50, all_24_2_51 yields:
% 27.85/9.11 | (139) aScalar0(all_0_7_7) = all_24_0_49 & aScalar0(xS) = all_24_1_50 & aScalar0(xS) = all_24_2_51 & ( ~ (all_24_1_50 = 0) | ~ (all_24_2_51 = 0) | all_24_0_49 = 0)
% 27.85/9.11 |
% 27.85/9.11 | Applying alpha-rule on (139) yields:
% 27.85/9.11 | (140) aScalar0(all_0_7_7) = all_24_0_49
% 27.85/9.11 | (141) aScalar0(xS) = all_24_1_50
% 27.85/9.11 | (142) aScalar0(xS) = all_24_2_51
% 27.85/9.11 | (143) ~ (all_24_1_50 = 0) | ~ (all_24_2_51 = 0) | all_24_0_49 = 0
% 27.85/9.11 |
% 27.85/9.11 | Instantiating (107) with all_26_0_52, all_26_1_53 yields:
% 27.85/9.11 | (144) sdtlseqdt0(sz0z00, all_0_7_7) = all_26_0_52 & aScalar0(xS) = all_26_1_53 & ( ~ (all_26_1_53 = 0) | all_26_0_52 = 0)
% 27.85/9.11 |
% 27.85/9.11 | Applying alpha-rule on (144) yields:
% 27.85/9.11 | (145) sdtlseqdt0(sz0z00, all_0_7_7) = all_26_0_52
% 27.85/9.11 | (146) aScalar0(xS) = all_26_1_53
% 27.85/9.11 | (147) ~ (all_26_1_53 = 0) | all_26_0_52 = 0
% 27.85/9.11 |
% 27.85/9.11 | Instantiating (106) with all_42_0_83, all_42_1_84, all_42_2_85 yields:
% 27.85/9.11 | (148) aScalar0(all_0_4_4) = all_42_0_83 & aScalar0(all_0_5_5) = all_42_1_84 & aScalar0(all_0_5_5) = all_42_2_85 & ( ~ (all_42_1_84 = 0) | ~ (all_42_2_85 = 0) | all_42_0_83 = 0)
% 27.85/9.11 |
% 27.85/9.11 | Applying alpha-rule on (148) yields:
% 27.85/9.11 | (149) aScalar0(all_0_4_4) = all_42_0_83
% 27.85/9.11 | (150) aScalar0(all_0_5_5) = all_42_1_84
% 27.85/9.11 | (151) aScalar0(all_0_5_5) = all_42_2_85
% 27.85/9.11 | (152) ~ (all_42_1_84 = 0) | ~ (all_42_2_85 = 0) | all_42_0_83 = 0
% 27.85/9.11 |
% 27.85/9.11 | Instantiating (104) with all_44_0_86, all_44_1_87, all_44_2_88 yields:
% 27.85/9.11 | (153) aScalar0(all_0_2_2) = all_44_0_86 & aScalar0(all_0_3_3) = all_44_1_87 & aScalar0(all_0_3_3) = all_44_2_88 & ( ~ (all_44_1_87 = 0) | ~ (all_44_2_88 = 0) | all_44_0_86 = 0)
% 27.85/9.11 |
% 27.85/9.11 | Applying alpha-rule on (153) yields:
% 27.85/9.11 | (154) aScalar0(all_0_2_2) = all_44_0_86
% 27.85/9.11 | (155) aScalar0(all_0_3_3) = all_44_1_87
% 27.85/9.11 | (156) aScalar0(all_0_3_3) = all_44_2_88
% 27.85/9.11 | (157) ~ (all_44_1_87 = 0) | ~ (all_44_2_88 = 0) | all_44_0_86 = 0
% 27.85/9.11 |
% 27.85/9.11 | Instantiating (105) with all_56_0_96, all_56_1_97 yields:
% 27.85/9.11 | (158) sdtlseqdt0(sz0z00, all_0_4_4) = all_56_0_96 & aScalar0(all_0_5_5) = all_56_1_97 & ( ~ (all_56_1_97 = 0) | all_56_0_96 = 0)
% 28.24/9.11 |
% 28.24/9.11 | Applying alpha-rule on (158) yields:
% 28.24/9.11 | (159) sdtlseqdt0(sz0z00, all_0_4_4) = all_56_0_96
% 28.24/9.12 | (160) aScalar0(all_0_5_5) = all_56_1_97
% 28.24/9.12 | (161) ~ (all_56_1_97 = 0) | all_56_0_96 = 0
% 28.24/9.12 |
% 28.24/9.12 | Instantiating (103) with all_64_0_108, all_64_1_109 yields:
% 28.24/9.12 | (162) sdtlseqdt0(sz0z00, all_0_2_2) = all_64_0_108 & aScalar0(all_0_3_3) = all_64_1_109 & ( ~ (all_64_1_109 = 0) | all_64_0_108 = 0)
% 28.24/9.12 |
% 28.24/9.12 | Applying alpha-rule on (162) yields:
% 28.24/9.12 | (163) sdtlseqdt0(sz0z00, all_0_2_2) = all_64_0_108
% 28.24/9.12 | (164) aScalar0(all_0_3_3) = all_64_1_109
% 28.24/9.12 | (165) ~ (all_64_1_109 = 0) | all_64_0_108 = 0
% 28.24/9.12 |
% 28.24/9.12 | Instantiating (112) with all_78_0_131, all_78_1_132, all_78_2_133 yields:
% 28.24/9.12 | (166) aScalar0(all_0_8_8) = all_78_0_131 & aScalar0(xR) = all_78_1_132 & aScalar0(xR) = all_78_2_133 & ( ~ (all_78_1_132 = 0) | ~ (all_78_2_133 = 0) | all_78_0_131 = 0)
% 28.24/9.12 |
% 28.24/9.12 | Applying alpha-rule on (166) yields:
% 28.24/9.12 | (167) aScalar0(all_0_8_8) = all_78_0_131
% 28.24/9.12 | (168) aScalar0(xR) = all_78_1_132
% 28.24/9.12 | (169) aScalar0(xR) = all_78_2_133
% 28.24/9.12 | (170) ~ (all_78_1_132 = 0) | ~ (all_78_2_133 = 0) | all_78_0_131 = 0
% 28.24/9.12 |
% 28.24/9.12 | Instantiating (111) with all_80_0_134, all_80_1_135 yields:
% 28.24/9.12 | (171) sdtlseqdt0(sz0z00, all_0_8_8) = all_80_0_134 & aScalar0(xR) = all_80_1_135 & ( ~ (all_80_1_135 = 0) | all_80_0_134 = 0)
% 28.24/9.12 |
% 28.24/9.12 | Applying alpha-rule on (171) yields:
% 28.24/9.12 | (172) sdtlseqdt0(sz0z00, all_0_8_8) = all_80_0_134
% 28.24/9.12 | (173) aScalar0(xR) = all_80_1_135
% 28.24/9.12 | (174) ~ (all_80_1_135 = 0) | all_80_0_134 = 0
% 28.24/9.12 |
% 28.24/9.12 | Instantiating (110) with all_82_0_136, all_82_1_137, all_82_2_138 yields:
% 28.24/9.12 | (175) aScalar0(all_0_10_10) = all_82_0_136 & aScalar0(xP) = all_82_1_137 & aScalar0(xP) = all_82_2_138 & ( ~ (all_82_1_137 = 0) | ~ (all_82_2_138 = 0) | all_82_0_136 = 0)
% 28.24/9.12 |
% 28.24/9.12 | Applying alpha-rule on (175) yields:
% 28.24/9.12 | (176) aScalar0(all_0_10_10) = all_82_0_136
% 28.24/9.12 | (177) aScalar0(xP) = all_82_1_137
% 28.24/9.12 | (178) aScalar0(xP) = all_82_2_138
% 28.24/9.12 | (179) ~ (all_82_1_137 = 0) | ~ (all_82_2_138 = 0) | all_82_0_136 = 0
% 28.24/9.12 |
% 28.24/9.12 | Instantiating (109) with all_84_0_139, all_84_1_140 yields:
% 28.24/9.12 | (180) sdtlseqdt0(sz0z00, all_0_10_10) = all_84_0_139 & aScalar0(xP) = all_84_1_140 & ( ~ (all_84_1_140 = 0) | all_84_0_139 = 0)
% 28.24/9.12 |
% 28.24/9.12 | Applying alpha-rule on (180) yields:
% 28.24/9.12 | (181) sdtlseqdt0(sz0z00, all_0_10_10) = all_84_0_139
% 28.24/9.12 | (182) aScalar0(xP) = all_84_1_140
% 28.24/9.12 | (183) ~ (all_84_1_140 = 0) | all_84_0_139 = 0
% 28.24/9.12 |
% 28.24/9.12 +-Applying beta-rule and splitting (116), into two cases.
% 28.24/9.12 |-Branch one:
% 28.24/9.12 | (184) all_0_1_1 = 0
% 28.24/9.12 |
% 28.24/9.12 | Equations (184) can reduce 43 to:
% 28.24/9.12 | (185) $false
% 28.24/9.12 |
% 28.24/9.12 |-The branch is then unsatisfiable
% 28.24/9.12 |-Branch two:
% 28.24/9.12 | (43) ~ (all_0_1_1 = 0)
% 28.24/9.12 | (187) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (sdtlseqdt0(xP, xS) = v5 & sdtlseqdt0(xP, xR) = v4 & aScalar0(xS) = v3 & aScalar0(xP) = v2 & aScalar0(xP) = v0 & aScalar0(xR) = v1 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 28.24/9.12 |
% 28.24/9.12 | Instantiating (187) with all_90_0_141, all_90_1_142, all_90_2_143, all_90_3_144, all_90_4_145, all_90_5_146 yields:
% 28.24/9.12 | (188) sdtlseqdt0(xP, xS) = all_90_0_141 & sdtlseqdt0(xP, xR) = all_90_1_142 & aScalar0(xS) = all_90_2_143 & aScalar0(xP) = all_90_3_144 & aScalar0(xP) = all_90_5_146 & aScalar0(xR) = all_90_4_145 & ( ~ (all_90_0_141 = 0) | ~ (all_90_1_142 = 0) | ~ (all_90_2_143 = 0) | ~ (all_90_3_144 = 0) | ~ (all_90_4_145 = 0) | ~ (all_90_5_146 = 0))
% 28.24/9.12 |
% 28.24/9.12 | Applying alpha-rule on (188) yields:
% 28.24/9.12 | (189) sdtlseqdt0(xP, xS) = all_90_0_141
% 28.24/9.12 | (190) aScalar0(xP) = all_90_5_146
% 28.24/9.12 | (191) aScalar0(xP) = all_90_3_144
% 28.24/9.12 | (192) aScalar0(xS) = all_90_2_143
% 28.24/9.12 | (193) ~ (all_90_0_141 = 0) | ~ (all_90_1_142 = 0) | ~ (all_90_2_143 = 0) | ~ (all_90_3_144 = 0) | ~ (all_90_4_145 = 0) | ~ (all_90_5_146 = 0)
% 28.24/9.12 | (194) aScalar0(xR) = all_90_4_145
% 28.24/9.12 | (195) sdtlseqdt0(xP, xR) = all_90_1_142
% 28.24/9.12 |
% 28.24/9.12 +-Applying beta-rule and splitting (115), into two cases.
% 28.24/9.12 |-Branch one:
% 28.24/9.12 | (196) all_0_0_0 = 0
% 28.24/9.12 |
% 28.24/9.12 | Equations (196) can reduce 49 to:
% 28.24/9.12 | (185) $false
% 28.24/9.12 |
% 28.24/9.12 |-The branch is then unsatisfiable
% 28.24/9.12 |-Branch two:
% 28.24/9.12 | (49) ~ (all_0_0_0 = 0)
% 28.24/9.12 | (199) ? [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)))
% 28.24/9.12 |
% 28.24/9.12 | Instantiating (199) with all_95_0_147, all_95_1_148, all_95_2_149, all_95_3_150, all_95_4_151, all_95_5_152 yields:
% 28.24/9.12 | (200) sdtlseqdt0(xS, xP) = all_95_0_147 & sdtlseqdt0(xR, xP) = all_95_1_148 & aScalar0(xS) = all_95_3_150 & aScalar0(xP) = all_95_2_149 & aScalar0(xP) = all_95_4_151 & aScalar0(xR) = all_95_5_152 & ( ~ (all_95_0_147 = 0) | ~ (all_95_1_148 = 0) | ~ (all_95_2_149 = 0) | ~ (all_95_3_150 = 0) | ~ (all_95_4_151 = 0) | ~ (all_95_5_152 = 0))
% 28.24/9.12 |
% 28.24/9.12 | Applying alpha-rule on (200) yields:
% 28.24/9.12 | (201) aScalar0(xP) = all_95_4_151
% 28.24/9.12 | (202) aScalar0(xR) = all_95_5_152
% 28.24/9.12 | (203) sdtlseqdt0(xR, xP) = all_95_1_148
% 28.24/9.12 | (204) aScalar0(xP) = all_95_2_149
% 28.24/9.12 | (205) aScalar0(xS) = all_95_3_150
% 28.24/9.12 | (206) ~ (all_95_0_147 = 0) | ~ (all_95_1_148 = 0) | ~ (all_95_2_149 = 0) | ~ (all_95_3_150 = 0) | ~ (all_95_4_151 = 0) | ~ (all_95_5_152 = 0)
% 28.24/9.12 | (207) sdtlseqdt0(xS, xP) = all_95_0_147
% 28.24/9.12 |
% 28.24/9.12 | Instantiating formula (97) with all_0_3_3, all_44_1_87, all_64_1_109 and discharging atoms aScalar0(all_0_3_3) = all_64_1_109, aScalar0(all_0_3_3) = all_44_1_87, yields:
% 28.24/9.12 | (208) all_64_1_109 = all_44_1_87
% 28.24/9.12 |
% 28.24/9.12 | Instantiating formula (97) with all_0_3_3, all_44_2_88, all_44_1_87 and discharging atoms aScalar0(all_0_3_3) = all_44_1_87, aScalar0(all_0_3_3) = all_44_2_88, yields:
% 28.24/9.12 | (209) all_44_1_87 = all_44_2_88
% 28.24/9.12 |
% 28.24/9.12 | Instantiating formula (97) with all_0_3_3, all_8_0_15, all_64_1_109 and discharging atoms aScalar0(all_0_3_3) = all_64_1_109, aScalar0(all_0_3_3) = all_8_0_15, yields:
% 28.24/9.12 | (210) all_64_1_109 = all_8_0_15
% 28.24/9.12 |
% 28.24/9.12 | Instantiating formula (97) with all_0_5_5, all_42_1_84, all_56_1_97 and discharging atoms aScalar0(all_0_5_5) = all_56_1_97, aScalar0(all_0_5_5) = all_42_1_84, yields:
% 28.24/9.12 | (211) all_56_1_97 = all_42_1_84
% 28.24/9.12 |
% 28.24/9.12 | Instantiating formula (97) with all_0_5_5, all_42_2_85, all_56_1_97 and discharging atoms aScalar0(all_0_5_5) = all_56_1_97, aScalar0(all_0_5_5) = all_42_2_85, yields:
% 28.24/9.12 | (212) all_56_1_97 = all_42_2_85
% 28.24/9.12 |
% 28.24/9.12 | Instantiating formula (97) with all_0_5_5, all_10_0_18, all_56_1_97 and discharging atoms aScalar0(all_0_5_5) = all_56_1_97, aScalar0(all_0_5_5) = all_10_0_18, yields:
% 28.24/9.12 | (213) all_56_1_97 = all_10_0_18
% 28.24/9.12 |
% 28.24/9.12 | Instantiating formula (97) with xS, all_26_1_53, 0 and discharging atoms aScalar0(xS) = all_26_1_53, aScalar0(xS) = 0, yields:
% 28.24/9.12 | (214) all_26_1_53 = 0
% 28.24/9.12 |
% 28.24/9.12 | Instantiating formula (97) with xS, all_26_1_53, all_95_3_150 and discharging atoms aScalar0(xS) = all_95_3_150, aScalar0(xS) = all_26_1_53, yields:
% 28.24/9.12 | (215) all_95_3_150 = all_26_1_53
% 28.24/9.12 |
% 28.24/9.12 | Instantiating formula (97) with xS, all_24_1_50, all_90_2_143 and discharging atoms aScalar0(xS) = all_90_2_143, aScalar0(xS) = all_24_1_50, yields:
% 28.24/9.12 | (216) all_90_2_143 = all_24_1_50
% 28.24/9.12 |
% 28.24/9.12 | Instantiating formula (97) with xS, all_24_1_50, all_26_1_53 and discharging atoms aScalar0(xS) = all_26_1_53, aScalar0(xS) = all_24_1_50, yields:
% 28.24/9.12 | (217) all_26_1_53 = all_24_1_50
% 28.24/9.12 |
% 28.24/9.12 | Instantiating formula (97) with xS, all_24_2_51, all_95_3_150 and discharging atoms aScalar0(xS) = all_95_3_150, aScalar0(xS) = all_24_2_51, yields:
% 28.24/9.12 | (218) all_95_3_150 = all_24_2_51
% 28.24/9.12 |
% 28.24/9.12 | Instantiating formula (97) with xS, all_8_1_16, all_90_2_143 and discharging atoms aScalar0(xS) = all_90_2_143, aScalar0(xS) = all_8_1_16, yields:
% 28.24/9.12 | (219) all_90_2_143 = all_8_1_16
% 28.24/9.12 |
% 28.24/9.12 | Instantiating formula (97) with xP, all_90_3_144, 0 and discharging atoms aScalar0(xP) = all_90_3_144, aScalar0(xP) = 0, yields:
% 28.24/9.12 | (220) all_90_3_144 = 0
% 28.24/9.12 |
% 28.24/9.12 | Instantiating formula (97) with xP, all_90_5_146, all_95_2_149 and discharging atoms aScalar0(xP) = all_95_2_149, aScalar0(xP) = all_90_5_146, yields:
% 28.24/9.12 | (221) all_95_2_149 = all_90_5_146
% 28.24/9.12 |
% 28.24/9.12 | Instantiating formula (97) with xP, all_90_5_146, all_90_3_144 and discharging atoms aScalar0(xP) = all_90_3_144, aScalar0(xP) = all_90_5_146, yields:
% 28.24/9.12 | (222) all_90_3_144 = all_90_5_146
% 28.24/9.12 |
% 28.24/9.12 | Instantiating formula (97) with xP, all_84_1_140, all_95_4_151 and discharging atoms aScalar0(xP) = all_95_4_151, aScalar0(xP) = all_84_1_140, yields:
% 28.24/9.13 | (223) all_95_4_151 = all_84_1_140
% 28.24/9.13 |
% 28.24/9.13 | Instantiating formula (97) with xP, all_82_1_137, all_90_5_146 and discharging atoms aScalar0(xP) = all_90_5_146, aScalar0(xP) = all_82_1_137, yields:
% 28.24/9.13 | (224) all_90_5_146 = all_82_1_137
% 28.24/9.13 |
% 28.24/9.13 | Instantiating formula (97) with xP, all_82_2_138, all_90_5_146 and discharging atoms aScalar0(xP) = all_90_5_146, aScalar0(xP) = all_82_2_138, yields:
% 28.24/9.13 | (225) all_90_5_146 = all_82_2_138
% 28.24/9.13 |
% 28.24/9.13 | Instantiating formula (97) with xP, all_12_6_27, all_95_2_149 and discharging atoms aScalar0(xP) = all_95_2_149, aScalar0(xP) = all_12_6_27, yields:
% 28.24/9.13 | (226) all_95_2_149 = all_12_6_27
% 28.24/9.13 |
% 28.24/9.13 | Instantiating formula (97) with xP, all_12_6_27, all_95_4_151 and discharging atoms aScalar0(xP) = all_95_4_151, aScalar0(xP) = all_12_6_27, yields:
% 28.24/9.13 | (227) all_95_4_151 = all_12_6_27
% 28.24/9.13 |
% 28.24/9.13 | Instantiating formula (97) with xP, all_12_7_28, all_95_4_151 and discharging atoms aScalar0(xP) = all_95_4_151, aScalar0(xP) = all_12_7_28, yields:
% 28.24/9.13 | (228) all_95_4_151 = all_12_7_28
% 28.24/9.13 |
% 28.24/9.13 | Instantiating formula (97) with xP, all_12_8_29, all_95_2_149 and discharging atoms aScalar0(xP) = all_95_2_149, aScalar0(xP) = all_12_8_29, yields:
% 28.24/9.13 | (229) all_95_2_149 = all_12_8_29
% 28.24/9.13 |
% 28.24/9.13 | Instantiating formula (97) with xP, all_10_1_19, all_12_6_27 and discharging atoms aScalar0(xP) = all_12_6_27, aScalar0(xP) = all_10_1_19, yields:
% 28.24/9.13 | (230) all_12_6_27 = all_10_1_19
% 28.24/9.13 |
% 28.24/9.13 | Instantiating formula (97) with xP, all_10_2_20, all_95_2_149 and discharging atoms aScalar0(xP) = all_95_2_149, aScalar0(xP) = all_10_2_20, yields:
% 28.24/9.13 | (231) all_95_2_149 = all_10_2_20
% 28.24/9.13 |
% 28.24/9.13 | Instantiating formula (97) with xR, all_80_1_135, all_90_4_145 and discharging atoms aScalar0(xR) = all_90_4_145, aScalar0(xR) = all_80_1_135, yields:
% 28.24/9.13 | (232) all_90_4_145 = all_80_1_135
% 28.24/9.13 |
% 28.24/9.13 | Instantiating formula (97) with xR, all_78_1_132, 0 and discharging atoms aScalar0(xR) = all_78_1_132, aScalar0(xR) = 0, yields:
% 28.24/9.13 | (233) all_78_1_132 = 0
% 28.24/9.13 |
% 28.24/9.13 | Instantiating formula (97) with xR, all_78_1_132, all_95_5_152 and discharging atoms aScalar0(xR) = all_95_5_152, aScalar0(xR) = all_78_1_132, yields:
% 28.24/9.13 | (234) all_95_5_152 = all_78_1_132
% 28.24/9.13 |
% 28.24/9.13 | Instantiating formula (97) with xR, all_78_1_132, all_80_1_135 and discharging atoms aScalar0(xR) = all_80_1_135, aScalar0(xR) = all_78_1_132, yields:
% 28.24/9.13 | (235) all_80_1_135 = all_78_1_132
% 28.24/9.13 |
% 28.24/9.13 | Instantiating formula (97) with xR, all_78_2_133, all_90_4_145 and discharging atoms aScalar0(xR) = all_90_4_145, aScalar0(xR) = all_78_2_133, yields:
% 28.24/9.13 | (236) all_90_4_145 = all_78_2_133
% 28.24/9.13 |
% 28.24/9.13 | Instantiating formula (97) with xR, all_8_2_17, all_95_5_152 and discharging atoms aScalar0(xR) = all_95_5_152, aScalar0(xR) = all_8_2_17, yields:
% 28.24/9.13 | (237) all_95_5_152 = all_8_2_17
% 28.24/9.13 |
% 28.24/9.13 | Combining equations (226,229) yields a new equation:
% 28.24/9.13 | (238) all_12_6_27 = all_12_8_29
% 28.24/9.13 |
% 28.24/9.13 | Simplifying 238 yields:
% 28.24/9.13 | (239) all_12_6_27 = all_12_8_29
% 28.24/9.13 |
% 28.24/9.13 | Combining equations (231,229) yields a new equation:
% 28.24/9.13 | (240) all_12_8_29 = all_10_2_20
% 28.24/9.13 |
% 28.24/9.13 | Combining equations (221,229) yields a new equation:
% 28.24/9.13 | (241) all_90_5_146 = all_12_8_29
% 28.24/9.13 |
% 28.24/9.13 | Simplifying 241 yields:
% 28.24/9.13 | (242) all_90_5_146 = all_12_8_29
% 28.24/9.13 |
% 28.24/9.13 | Combining equations (215,218) yields a new equation:
% 28.24/9.13 | (243) all_26_1_53 = all_24_2_51
% 28.24/9.13 |
% 28.24/9.13 | Simplifying 243 yields:
% 28.24/9.13 | (244) all_26_1_53 = all_24_2_51
% 28.24/9.13 |
% 28.24/9.13 | Combining equations (228,223) yields a new equation:
% 28.24/9.13 | (245) all_84_1_140 = all_12_7_28
% 28.24/9.13 |
% 28.24/9.13 | Combining equations (227,223) yields a new equation:
% 28.24/9.13 | (246) all_84_1_140 = all_12_6_27
% 28.24/9.13 |
% 28.24/9.13 | Combining equations (234,237) yields a new equation:
% 28.24/9.13 | (247) all_78_1_132 = all_8_2_17
% 28.24/9.13 |
% 28.24/9.13 | Simplifying 247 yields:
% 28.24/9.13 | (248) all_78_1_132 = all_8_2_17
% 28.24/9.13 |
% 28.24/9.13 | Combining equations (216,219) yields a new equation:
% 28.24/9.13 | (249) all_24_1_50 = all_8_1_16
% 28.24/9.13 |
% 28.24/9.13 | Simplifying 249 yields:
% 28.24/9.13 | (250) all_24_1_50 = all_8_1_16
% 28.24/9.13 |
% 28.24/9.13 | Combining equations (222,220) yields a new equation:
% 28.24/9.13 | (251) all_90_5_146 = 0
% 28.24/9.13 |
% 28.24/9.13 | Simplifying 251 yields:
% 28.24/9.13 | (252) all_90_5_146 = 0
% 28.24/9.13 |
% 28.24/9.13 | Combining equations (232,236) yields a new equation:
% 28.24/9.13 | (253) all_80_1_135 = all_78_2_133
% 28.24/9.13 |
% 28.24/9.13 | Simplifying 253 yields:
% 28.24/9.13 | (254) all_80_1_135 = all_78_2_133
% 28.24/9.13 |
% 28.24/9.13 | Combining equations (225,224) yields a new equation:
% 28.24/9.13 | (255) all_82_1_137 = all_82_2_138
% 28.24/9.13 |
% 28.24/9.13 | Combining equations (252,224) yields a new equation:
% 28.24/9.13 | (256) all_82_1_137 = 0
% 28.24/9.13 |
% 28.24/9.13 | Combining equations (242,224) yields a new equation:
% 28.24/9.13 | (257) all_82_1_137 = all_12_8_29
% 28.24/9.13 |
% 28.24/9.13 | Combining equations (246,245) yields a new equation:
% 28.24/9.13 | (258) all_12_6_27 = all_12_7_28
% 28.24/9.13 |
% 28.24/9.13 | Simplifying 258 yields:
% 28.24/9.13 | (259) all_12_6_27 = all_12_7_28
% 28.24/9.13 |
% 28.24/9.13 | Combining equations (257,255) yields a new equation:
% 28.24/9.13 | (260) all_82_2_138 = all_12_8_29
% 28.24/9.13 |
% 28.24/9.13 | Combining equations (256,255) yields a new equation:
% 28.24/9.13 | (261) all_82_2_138 = 0
% 28.24/9.13 |
% 28.24/9.13 | Combining equations (260,261) yields a new equation:
% 28.24/9.13 | (262) all_12_8_29 = 0
% 28.24/9.13 |
% 28.24/9.13 | Simplifying 262 yields:
% 28.24/9.13 | (263) all_12_8_29 = 0
% 28.24/9.13 |
% 28.24/9.13 | Combining equations (235,254) yields a new equation:
% 28.24/9.13 | (264) all_78_1_132 = all_78_2_133
% 28.24/9.13 |
% 28.24/9.13 | Simplifying 264 yields:
% 28.24/9.13 | (265) all_78_1_132 = all_78_2_133
% 28.24/9.13 |
% 28.24/9.13 | Combining equations (248,265) yields a new equation:
% 28.24/9.13 | (266) all_78_2_133 = all_8_2_17
% 28.24/9.13 |
% 28.24/9.13 | Combining equations (233,265) yields a new equation:
% 28.24/9.13 | (267) all_78_2_133 = 0
% 28.24/9.13 |
% 28.24/9.13 | Combining equations (267,266) yields a new equation:
% 28.24/9.13 | (268) all_8_2_17 = 0
% 28.24/9.13 |
% 28.24/9.13 | Combining equations (208,210) yields a new equation:
% 28.24/9.13 | (269) all_44_1_87 = all_8_0_15
% 28.24/9.13 |
% 28.24/9.13 | Simplifying 269 yields:
% 28.24/9.13 | (270) all_44_1_87 = all_8_0_15
% 28.24/9.13 |
% 28.24/9.13 | Combining equations (212,211) yields a new equation:
% 28.24/9.13 | (271) all_42_1_84 = all_42_2_85
% 28.24/9.13 |
% 28.24/9.13 | Combining equations (213,211) yields a new equation:
% 28.24/9.13 | (272) all_42_1_84 = all_10_0_18
% 28.24/9.13 |
% 28.24/9.13 | Combining equations (209,270) yields a new equation:
% 28.24/9.13 | (273) all_44_2_88 = all_8_0_15
% 28.24/9.13 |
% 28.24/9.13 | Simplifying 273 yields:
% 28.24/9.13 | (274) all_44_2_88 = all_8_0_15
% 28.24/9.13 |
% 28.24/9.13 | Combining equations (272,271) yields a new equation:
% 28.24/9.13 | (275) all_42_2_85 = all_10_0_18
% 28.24/9.13 |
% 28.24/9.13 | Combining equations (217,244) yields a new equation:
% 28.24/9.13 | (276) all_24_1_50 = all_24_2_51
% 28.24/9.13 |
% 28.24/9.13 | Simplifying 276 yields:
% 28.24/9.13 | (277) all_24_1_50 = all_24_2_51
% 28.24/9.13 |
% 28.24/9.13 | Combining equations (214,244) yields a new equation:
% 28.24/9.13 | (278) all_24_2_51 = 0
% 28.24/9.13 |
% 28.24/9.13 | Combining equations (277,250) yields a new equation:
% 28.24/9.13 | (279) all_24_2_51 = all_8_1_16
% 28.24/9.13 |
% 28.24/9.13 | Simplifying 279 yields:
% 28.24/9.13 | (280) all_24_2_51 = all_8_1_16
% 28.24/9.13 |
% 28.24/9.13 | Combining equations (278,280) yields a new equation:
% 28.24/9.13 | (281) all_8_1_16 = 0
% 28.24/9.13 |
% 28.24/9.13 | Combining equations (230,259) yields a new equation:
% 28.24/9.13 | (282) all_12_7_28 = all_10_1_19
% 28.24/9.13 |
% 28.24/9.13 | Combining equations (239,259) yields a new equation:
% 28.24/9.13 | (283) all_12_7_28 = all_12_8_29
% 28.24/9.13 |
% 28.24/9.13 | Combining equations (283,282) yields a new equation:
% 28.24/9.13 | (284) all_12_8_29 = all_10_1_19
% 28.24/9.13 |
% 28.24/9.13 | Simplifying 284 yields:
% 28.24/9.13 | (285) all_12_8_29 = all_10_1_19
% 28.24/9.13 |
% 28.24/9.13 | Combining equations (240,285) yields a new equation:
% 28.24/9.13 | (286) all_10_1_19 = all_10_2_20
% 28.24/9.13 |
% 28.24/9.13 | Combining equations (263,285) yields a new equation:
% 28.24/9.13 | (287) all_10_1_19 = 0
% 28.24/9.13 |
% 28.24/9.13 | Combining equations (286,287) yields a new equation:
% 28.24/9.13 | (288) all_10_2_20 = 0
% 28.24/9.13 |
% 28.24/9.13 | Simplifying 288 yields:
% 28.24/9.13 | (289) all_10_2_20 = 0
% 28.24/9.13 |
% 28.24/9.13 | From (274) and (156) follows:
% 28.24/9.13 | (119) aScalar0(all_0_3_3) = all_8_0_15
% 28.24/9.13 |
% 28.24/9.13 | From (275) and (151) follows:
% 28.24/9.13 | (124) aScalar0(all_0_5_5) = all_10_0_18
% 28.24/9.13 |
% 28.24/9.13 +-Applying beta-rule and splitting (127), into two cases.
% 28.24/9.13 |-Branch one:
% 28.24/9.13 | (292) ~ (all_10_1_19 = 0)
% 28.24/9.13 |
% 28.24/9.13 | Equations (287) can reduce 292 to:
% 28.24/9.13 | (185) $false
% 28.24/9.13 |
% 28.24/9.13 |-The branch is then unsatisfiable
% 28.24/9.13 |-Branch two:
% 28.24/9.13 | (287) all_10_1_19 = 0
% 28.24/9.13 | (295) ~ (all_10_2_20 = 0) | all_10_0_18 = 0
% 28.24/9.13 |
% 28.24/9.13 +-Applying beta-rule and splitting (295), into two cases.
% 28.24/9.13 |-Branch one:
% 28.24/9.13 | (296) ~ (all_10_2_20 = 0)
% 28.24/9.13 |
% 28.24/9.13 | Equations (289) can reduce 296 to:
% 28.24/9.13 | (185) $false
% 28.24/9.13 |
% 28.24/9.13 |-The branch is then unsatisfiable
% 28.24/9.13 |-Branch two:
% 28.24/9.13 | (289) all_10_2_20 = 0
% 28.24/9.13 | (299) all_10_0_18 = 0
% 28.24/9.13 |
% 28.24/9.13 | From (299) and (124) follows:
% 28.24/9.13 | (300) aScalar0(all_0_5_5) = 0
% 28.24/9.13 |
% 28.24/9.13 +-Applying beta-rule and splitting (122), into two cases.
% 28.24/9.13 |-Branch one:
% 28.24/9.13 | (301) ~ (all_8_1_16 = 0)
% 28.24/9.13 |
% 28.24/9.13 | Equations (281) can reduce 301 to:
% 28.24/9.13 | (185) $false
% 28.24/9.13 |
% 28.24/9.13 |-The branch is then unsatisfiable
% 28.24/9.13 |-Branch two:
% 28.24/9.13 | (281) all_8_1_16 = 0
% 28.24/9.13 | (304) ~ (all_8_2_17 = 0) | all_8_0_15 = 0
% 28.24/9.13 |
% 28.24/9.13 +-Applying beta-rule and splitting (304), into two cases.
% 28.24/9.13 |-Branch one:
% 28.24/9.13 | (305) ~ (all_8_2_17 = 0)
% 28.24/9.13 |
% 28.24/9.13 | Equations (268) can reduce 305 to:
% 28.24/9.13 | (185) $false
% 28.24/9.13 |
% 28.24/9.13 |-The branch is then unsatisfiable
% 28.24/9.13 |-Branch two:
% 28.24/9.13 | (268) all_8_2_17 = 0
% 28.24/9.13 | (308) all_8_0_15 = 0
% 28.24/9.13 |
% 28.24/9.13 | From (308) and (119) follows:
% 28.24/9.13 | (309) aScalar0(all_0_3_3) = 0
% 28.24/9.13 |
% 28.24/9.13 +-Applying beta-rule and splitting (101), into two cases.
% 28.24/9.13 |-Branch one:
% 28.24/9.13 | (196) all_0_0_0 = 0
% 28.24/9.13 |
% 28.24/9.13 | Equations (196) can reduce 49 to:
% 28.24/9.13 | (185) $false
% 28.24/9.13 |
% 28.24/9.13 |-The branch is then unsatisfiable
% 28.24/9.13 |-Branch two:
% 28.24/9.13 | (49) ~ (all_0_0_0 = 0)
% 28.24/9.13 | (313) ? [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))
% 28.24/9.13 |
% 28.24/9.13 | Instantiating (313) with all_169_0_153, all_169_1_154, all_169_2_155 yields:
% 28.24/9.13 | (314) sdtlseqdt0(all_0_5_5, all_0_3_3) = all_169_0_153 & aScalar0(all_0_3_3) = all_169_2_155 & aScalar0(all_0_5_5) = all_169_1_154 & ( ~ (all_169_1_154 = 0) | ~ (all_169_2_155 = 0) | all_169_0_153 = 0)
% 28.24/9.14 |
% 28.24/9.14 | Applying alpha-rule on (314) yields:
% 28.24/9.14 | (315) sdtlseqdt0(all_0_5_5, all_0_3_3) = all_169_0_153
% 28.24/9.14 | (316) aScalar0(all_0_3_3) = all_169_2_155
% 28.24/9.14 | (317) aScalar0(all_0_5_5) = all_169_1_154
% 28.24/9.14 | (318) ~ (all_169_1_154 = 0) | ~ (all_169_2_155 = 0) | all_169_0_153 = 0
% 28.24/9.14 |
% 28.24/9.14 | Instantiating formula (9) with all_0_5_5, all_0_3_3, all_169_0_153, all_0_1_1 and discharging atoms sdtlseqdt0(all_0_5_5, all_0_3_3) = all_169_0_153, sdtlseqdt0(all_0_5_5, all_0_3_3) = all_0_1_1, yields:
% 28.24/9.14 | (319) all_169_0_153 = all_0_1_1
% 28.24/9.14 |
% 28.24/9.14 | Instantiating formula (97) with all_0_3_3, all_169_2_155, 0 and discharging atoms aScalar0(all_0_3_3) = all_169_2_155, aScalar0(all_0_3_3) = 0, yields:
% 28.24/9.14 | (320) all_169_2_155 = 0
% 28.24/9.14 |
% 28.24/9.14 | Instantiating formula (97) with all_0_5_5, all_169_1_154, 0 and discharging atoms aScalar0(all_0_5_5) = all_169_1_154, aScalar0(all_0_5_5) = 0, yields:
% 28.24/9.14 | (321) all_169_1_154 = 0
% 28.24/9.14 |
% 28.24/9.14 +-Applying beta-rule and splitting (102), into two cases.
% 28.24/9.14 |-Branch one:
% 28.24/9.14 | (184) all_0_1_1 = 0
% 28.24/9.14 |
% 28.24/9.14 | Equations (184) can reduce 43 to:
% 28.24/9.14 | (185) $false
% 28.24/9.14 |
% 28.24/9.14 |-The branch is then unsatisfiable
% 28.24/9.14 |-Branch two:
% 28.24/9.14 | (43) ~ (all_0_1_1 = 0)
% 28.24/9.14 | (325) ? [v0] : ? [v1] : ? [v2] : (sdtlseqdt0(all_0_3_3, all_0_5_5) = v2 & aScalar0(all_0_3_3) = v1 & aScalar0(all_0_5_5) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 28.24/9.14 |
% 28.24/9.14 +-Applying beta-rule and splitting (318), into two cases.
% 28.24/9.14 |-Branch one:
% 28.24/9.14 | (326) ~ (all_169_1_154 = 0)
% 28.24/9.14 |
% 28.24/9.14 | Equations (321) can reduce 326 to:
% 28.24/9.14 | (185) $false
% 28.24/9.14 |
% 28.24/9.14 |-The branch is then unsatisfiable
% 28.24/9.14 |-Branch two:
% 28.24/9.14 | (321) all_169_1_154 = 0
% 28.24/9.14 | (329) ~ (all_169_2_155 = 0) | all_169_0_153 = 0
% 28.24/9.14 |
% 28.24/9.14 +-Applying beta-rule and splitting (329), into two cases.
% 28.24/9.14 |-Branch one:
% 28.24/9.14 | (330) ~ (all_169_2_155 = 0)
% 28.24/9.14 |
% 28.24/9.14 | Equations (320) can reduce 330 to:
% 28.24/9.14 | (185) $false
% 28.24/9.14 |
% 28.24/9.14 |-The branch is then unsatisfiable
% 28.24/9.14 |-Branch two:
% 28.24/9.14 | (320) all_169_2_155 = 0
% 28.24/9.14 | (333) all_169_0_153 = 0
% 28.24/9.14 |
% 28.24/9.14 | Combining equations (319,333) yields a new equation:
% 28.24/9.14 | (334) all_0_1_1 = 0
% 28.24/9.14 |
% 28.24/9.14 | Simplifying 334 yields:
% 28.24/9.14 | (184) all_0_1_1 = 0
% 28.24/9.14 |
% 28.24/9.14 | Equations (184) can reduce 43 to:
% 28.24/9.14 | (185) $false
% 28.24/9.14 |
% 28.24/9.14 |-The branch is then unsatisfiable
% 28.24/9.14 % SZS output end Proof for theBenchmark
% 28.24/9.14
% 28.24/9.14 8542ms
%------------------------------------------------------------------------------