TSTP Solution File: RNG076+2 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : RNG076+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 20:25:17 EDT 2022
% Result : Theorem 38.38s 14.01s
% Output : Proof 46.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG076+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.33 % Computer : n021.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon May 30 10:19:13 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.46/0.59 ____ _
% 0.46/0.59 ___ / __ \_____(_)___ ________ __________
% 0.46/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.46/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.46/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.46/0.59
% 0.46/0.59 A Theorem Prover for First-Order Logic
% 0.46/0.59 (ePrincess v.1.0)
% 0.46/0.59
% 0.46/0.59 (c) Philipp Rümmer, 2009-2015
% 0.46/0.59 (c) Peter Backeman, 2014-2015
% 0.46/0.59 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.46/0.59 Free software under GNU Lesser General Public License (LGPL).
% 0.46/0.59 Bug reports to peter@backeman.se
% 0.46/0.59
% 0.46/0.59 For more information, visit http://user.uu.se/~petba168/breu/
% 0.46/0.59
% 0.46/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.73/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.81/0.98 Prover 0: Preprocessing ...
% 3.89/1.48 Prover 0: Constructing countermodel ...
% 17.76/5.94 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 18.14/6.04 Prover 1: Preprocessing ...
% 18.51/6.16 Prover 1: Constructing countermodel ...
% 26.58/8.54 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 26.94/8.62 Prover 2: Preprocessing ...
% 27.77/8.83 Prover 2: Warning: ignoring some quantifiers
% 27.77/8.85 Prover 2: Constructing countermodel ...
% 33.23/11.74 Prover 0: stopped
% 33.77/11.94 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 33.77/12.01 Prover 3: Preprocessing ...
% 34.03/12.07 Prover 3: Constructing countermodel ...
% 38.38/14.00 Prover 3: proved (2059ms)
% 38.38/14.01 Prover 1: stopped
% 38.38/14.01 Prover 2: stopped
% 38.38/14.01
% 38.38/14.01 No countermodel exists, formula is valid
% 38.38/14.01 % SZS status Theorem for theBenchmark
% 38.38/14.01
% 38.38/14.01 Generating proof ... found it (size 109)
% 46.43/17.40
% 46.43/17.40 % SZS output start Proof for theBenchmark
% 46.43/17.40 Assumed formulas after preprocessing and simplification:
% 46.43/17.40 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ( ~ (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 & aDimensionOf0(xq) = v3 & aDimensionOf0(xp) = v2 & aDimensionOf0(xt) = v1 & aDimensionOf0(xs) = v1 & smndt0(sz0z00) = v0 & sdtasdt0(xR, xS) = xN & sdtasdt0(xH, xH) = 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(v7, v8) = v11 & sdtpldt0(v6, v8) = v9 & sdtpldt0(v5, v11) = v12 & sdtpldt0(v4, v9) = v10 & sdtpldt0(xP, xP) = v6 & sdtpldt0(xR, xS) = v7 & szszuzczcdt0(v3) = v1 & szszuzczcdt0(v2) = v1 & aVector0(xq) & aVector0(xp) & aVector0(xt) & aVector0(xs) & sdtlseqdt0(v6, v7) & sdtlseqdt0(v4, v5) & aScalar0(xN) & aScalar0(xS) & aScalar0(xP) & aScalar0(xR) & aScalar0(xH) & aScalar0(xG) & aScalar0(xF) & aScalar0(xE) & aScalar0(xD) & aScalar0(xC) & aScalar0(xB) & aScalar0(xA) & aScalar0(sz0z00) & aNaturalNumber0(sz00) & ~ sdtlseqdt0(v10, v12) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (sdtasdt0(v14, v16) = v21) | ~ (sdtasdt0(v14, v15) = v20) | ~ (sdtasdt0(v13, v16) = v18) | ~ (sdtasdt0(v13, v15) = v17) | ~ (sdtpldt0(v20, v21) = v22) | ~ (sdtpldt0(v19, v22) = v23) | ~ (sdtpldt0(v17, v18) = v19) | ~ aScalar0(v16) | ~ aScalar0(v15) | ~ aScalar0(v14) | ~ aScalar0(v13) | ? [v24] : ? [v25] : (sdtasdt0(v24, v25) = v23 & sdtpldt0(v15, v16) = v25 & sdtpldt0(v13, v14) = v24)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v15 = sz00 | ~ (sdtasasdt0(v16, v17) = v18) | ~ (sziznziztdt0(v14) = v17) | ~ (sziznziztdt0(v13) = v16) | ~ (sdtlbdtrb0(v14, v15) = v20) | ~ (sdtlbdtrb0(v13, v15) = v19) | ~ (aDimensionOf0(v14) = v15) | ~ (aDimensionOf0(v13) = v15) | ~ (sdtasdt0(v19, v20) = v21) | ~ (sdtpldt0(v18, v21) = v22) | ~ aVector0(v14) | ~ aVector0(v13) | sdtasasdt0(v13, v14) = v22) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (sdtasdt0(v14, v16) = v18) | ~ (sdtasdt0(v13, v15) = v17) | ~ sdtlseqdt0(v15, v16) | ~ sdtlseqdt0(v13, v14) | ~ sdtlseqdt0(sz0z00, v15) | ~ aScalar0(v16) | ~ aScalar0(v15) | ~ aScalar0(v14) | ~ aScalar0(v13) | sdtlseqdt0(v17, v18)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (sdtasdt0(v13, v15) = v17) | ~ (sdtasdt0(v13, v14) = v16) | ~ (sdtpldt0(v16, v17) = v18) | ~ aScalar0(v15) | ~ aScalar0(v14) | ~ aScalar0(v13) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : (sdtasdt0(v20, v15) = v21 & sdtasdt0(v14, v15) = v22 & sdtasdt0(v13, v19) = v18 & sdtpldt0(v17, v22) = v21 & sdtpldt0(v14, v15) = v19 & sdtpldt0(v13, v14) = v20)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (sdtpldt0(v14, v16) = v18) | ~ (sdtpldt0(v13, v15) = v17) | ~ sdtlseqdt0(v15, v16) | ~ sdtlseqdt0(v13, v14) | ~ aScalar0(v16) | ~ aScalar0(v15) | ~ aScalar0(v14) | ~ aScalar0(v13) | sdtlseqdt0(v17, v18)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (sdtasasdt0(v14, v14) = v16) | ~ (sdtasasdt0(v13, v13) = v15) | ~ (sdtasdt0(v15, v16) = v17) | ~ aVector0(v14) | ~ aVector0(v13) | ? [v18] : ? [v19] : ((sdtasasdt0(v13, v14) = v18 & sdtasdt0(v18, v18) = v19 & sdtlseqdt0(v19, v17)) | (aDimensionOf0(v13) = v18 & ( ~ iLess0(v18, v1) | ( ~ (v19 = v18) & aDimensionOf0(v14) = v19))))) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (smndt0(v14) = v16) | ~ (smndt0(v13) = v15) | ~ (sdtasdt0(v15, v16) = v17) | ~ aScalar0(v14) | ~ aScalar0(v13) | sdtasdt0(v13, v14) = v17) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (sdtpldt0(v16, v15) = v17) | ~ (sdtpldt0(v13, v14) = v16) | ~ aScalar0(v15) | ~ aScalar0(v14) | ~ aScalar0(v13) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : (sdtasdt0(v19, v15) = v20 & sdtasdt0(v14, v15) = v21 & sdtasdt0(v14, v13) = v19 & sdtasdt0(v13, v21) = v20 & sdtasdt0(v13, v14) = v19 & sdtpldt0(v14, v15) = v18 & sdtpldt0(v14, v13) = v16 & sdtpldt0(v13, v18) = v17)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v14 = v13 | ~ (sdtasasdt0(v16, v15) = v14) | ~ (sdtasasdt0(v16, v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v14 = v13 | ~ (sdtlbdtrb0(v16, v15) = v14) | ~ (sdtlbdtrb0(v16, v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v14 = v13 | ~ (sdtasdt0(v16, v15) = v14) | ~ (sdtasdt0(v16, v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v14 = v13 | ~ (sdtpldt0(v16, v15) = v14) | ~ (sdtpldt0(v16, v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (sziznziztdt0(v14) = v16) | ~ (sziznziztdt0(v13) = v15) | ~ aVector0(v14) | ~ aVector0(v13) | ? [v17] : ? [v18] : ((v18 = v17 & aDimensionOf0(v16) = v17 & aDimensionOf0(v15) = v17) | (aDimensionOf0(v14) = v18 & (v18 = sz00 | ( ~ (v18 = v17) & aDimensionOf0(v13) = v17))))) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (smndt0(v13) = v15) | ~ (sdtasdt0(v15, v14) = v16) | ~ aScalar0(v14) | ~ aScalar0(v13) | ? [v17] : ? [v18] : (smndt0(v18) = v16 & smndt0(v14) = v17 & sdtasdt0(v13, v17) = v16 & sdtasdt0(v13, v14) = v18)) & ! [v13] : ! [v14] : ! [v15] : (v15 = sz0z00 | ~ (sdtasasdt0(v13, v14) = v15) | ~ aVector0(v14) | ~ aVector0(v13) | ? [v16] : ? [v17] : (aDimensionOf0(v14) = v17 & ( ~ (v17 = sz00) | ( ~ (v16 = sz00) & aDimensionOf0(v13) = v16)))) & ! [v13] : ! [v14] : ! [v15] : (v15 = sz0z00 | ~ (smndt0(v13) = v14) | ~ (sdtpldt0(v14, v13) = v15) | ~ aScalar0(v13)) & ! [v13] : ! [v14] : ! [v15] : (v14 = v13 | ~ (sziznziztdt0(v15) = v14) | ~ (sziznziztdt0(v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : (v14 = v13 | ~ (aDimensionOf0(v15) = v14) | ~ (aDimensionOf0(v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : (v14 = v13 | ~ (smndt0(v15) = v14) | ~ (smndt0(v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : (v14 = v13 | ~ (sdtasdt0(v14, v14) = v15) | ~ (sdtasdt0(v13, v13) = v15) | ~ sdtlseqdt0(sz0z00, v14) | ~ sdtlseqdt0(sz0z00, v13) | ~ aScalar0(v14) | ~ aScalar0(v13)) & ! [v13] : ! [v14] : ! [v15] : (v14 = v13 | ~ (szszuzczcdt0(v15) = v14) | ~ (szszuzczcdt0(v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : (v14 = v13 | ~ (szszuzczcdt0(v14) = v15) | ~ (szszuzczcdt0(v13) = v15) | ~ aNaturalNumber0(v14) | ~ aNaturalNumber0(v13)) & ! [v13] : ! [v14] : ! [v15] : (v0 = sz0z00 | ~ (smndt0(v13) = v14) | ~ (sdtpldt0(v14, v13) = v15) | ~ aScalar0(v13)) & ! [v13] : ! [v14] : ! [v15] : ( ~ (sdtasasdt0(v13, v14) = v15) | ~ aVector0(v14) | ~ aVector0(v13) | aScalar0(v15) | ? [v16] : ? [v17] : ( ~ (v17 = v16) & aDimensionOf0(v14) = v17 & aDimensionOf0(v13) = v16)) & ! [v13] : ! [v14] : ! [v15] : ( ~ (sdtlbdtrb0(v13, v14) = v15) | ~ aVector0(v13) | ~ aNaturalNumber0(v14) | aScalar0(v15)) & ! [v13] : ! [v14] : ! [v15] : ( ~ (smndt0(v13) = v14) | ~ (sdtpldt0(v14, v13) = v15) | ~ aScalar0(v13) | (smndt0(v14) = v13 & sdtasdt0(v13, sz0z00) = sz0z00 & sdtasdt0(sz0z00, v13) = sz0z00 & sdtpldt0(v13, v14) = sz0z00 & sdtpldt0(v13, sz0z00) = v13 & sdtpldt0(sz0z00, v13) = v13)) & ! [v13] : ! [v14] : ! [v15] : ( ~ (sdtasdt0(v13, v14) = v15) | ~ aScalar0(v14) | ~ aScalar0(v13) | aScalar0(v15)) & ! [v13] : ! [v14] : ! [v15] : ( ~ (sdtpldt0(v13, v14) = v15) | ~ sdtlseqdt0(sz0z00, v14) | ~ sdtlseqdt0(sz0z00, v13) | ~ aScalar0(v14) | ~ aScalar0(v13) | sdtlseqdt0(sz0z00, v15)) & ! [v13] : ! [v14] : ! [v15] : ( ~ (sdtpldt0(v13, v14) = v15) | ~ sdtlseqdt0(sz0z00, v14) | ~ sdtlseqdt0(sz0z00, v13) | ~ aScalar0(v14) | ~ aScalar0(v13) | ? [v16] : (sdtasdt0(v13, v14) = v16 & sdtlseqdt0(sz0z00, v16))) & ! [v13] : ! [v14] : ! [v15] : ( ~ (sdtpldt0(v13, v14) = v15) | ~ aScalar0(v14) | ~ aScalar0(v13) | aScalar0(v15)) & ! [v13] : ! [v14] : ! [v15] : ( ~ sdtlseqdt0(v14, v15) | ~ sdtlseqdt0(v13, v14) | ~ aScalar0(v15) | ~ aScalar0(v14) | ~ aScalar0(v13) | sdtlseqdt0(v13, v15)) & ! [v13] : ! [v14] : (v14 = v13 | ~ sdtlseqdt0(v14, v13) | ~ sdtlseqdt0(v13, v14) | ~ aScalar0(v14) | ~ aScalar0(v13)) & ! [v13] : ! [v14] : ( ~ (sdtasasdt0(v13, v13) = v14) | ~ aVector0(v13) | sdtlseqdt0(sz0z00, v14)) & ! [v13] : ! [v14] : ( ~ (sziznziztdt0(v13) = v14) | ~ aVector0(v13) | ? [v15] : (aDimensionOf0(v13) = v15 & (v15 = sz00 | ( ! [v16] : ! [v17] : ! [v18] : ( ~ (sdtlbdtrb0(v13, v17) = v18) | ~ (aDimensionOf0(v14) = v16) | ~ aNaturalNumber0(v17) | sdtlbdtrb0(v14, v17) = v18) & ! [v16] : ! [v17] : (v16 = v14 | ~ (aDimensionOf0(v16) = v17) | ~ aVector0(v16) | ? [v18] : ? [v19] : ? [v20] : (( ~ (v20 = v19) & sdtlbdtrb0(v16, v18) = v19 & sdtlbdtrb0(v13, v18) = v20 & aNaturalNumber0(v18)) | ( ~ (v18 = v15) & szszuzczcdt0(v17) = v18))) & ! [v16] : ( ~ (aDimensionOf0(v14) = v16) | szszuzczcdt0(v16) = v15) & ! [v16] : ( ~ (aDimensionOf0(v14) = v16) | aVector0(v14)))))) & ! [v13] : ! [v14] : ( ~ (sdtlbdtrb0(xp, v13) = v14) | ~ aNaturalNumber0(v13) | sdtlbdtrb0(xs, v13) = v14) & ! [v13] : ! [v14] : ( ~ (sdtlbdtrb0(xt, v13) = v14) | ~ aNaturalNumber0(v13) | sdtlbdtrb0(xq, v13) = v14) & ! [v13] : ! [v14] : ( ~ (aDimensionOf0(v13) = v14) | ~ aVector0(v13) | aNaturalNumber0(v14)) & ! [v13] : ! [v14] : ( ~ (smndt0(v13) = v14) | ~ aScalar0(v13) | aScalar0(v14)) & ! [v13] : ! [v14] : ( ~ (sdtasdt0(v13, v13) = v14) | ~ aScalar0(v13) | sdtlseqdt0(sz0z00, v14)) & ! [v13] : ! [v14] : ( ~ (szszuzczcdt0(v13) = v14) | ~ aNaturalNumber0(v13) | iLess0(v13, v14)) & ! [v13] : ! [v14] : ( ~ (szszuzczcdt0(v13) = v14) | ~ aNaturalNumber0(v13) | aNaturalNumber0(v14)) & ! [v13] : ! [v14] : ( ~ aScalar0(v14) | ~ aScalar0(v13) | sdtlseqdt0(v14, v13) | sdtlseqdt0(v13, v14)) & ! [v13] : (v13 = sz00 | ~ aNaturalNumber0(v13) | ? [v14] : (szszuzczcdt0(v14) = v13 & aNaturalNumber0(v14))) & ! [v13] : ( ~ (szszuzczcdt0(v13) = sz00) | ~ aNaturalNumber0(v13)) & ! [v13] : ( ~ aScalar0(v13) | sdtlseqdt0(v13, v13)))
% 46.43/17.46 | 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 yields:
% 46.43/17.46 | (1) ~ (all_0_11_11 = sz00) & sdtasasdt0(xq, xq) = xD & sdtasasdt0(xp, xq) = xE & sdtasasdt0(xp, xp) = xC & sziznziztdt0(xt) = xq & sziznziztdt0(xs) = xp & sdtlbdtrb0(xt, all_0_11_11) = xB & sdtlbdtrb0(xs, all_0_11_11) = xA & aDimensionOf0(xq) = all_0_9_9 & aDimensionOf0(xp) = all_0_10_10 & aDimensionOf0(xt) = all_0_11_11 & aDimensionOf0(xs) = all_0_11_11 & smndt0(sz0z00) = all_0_12_12 & sdtasdt0(xR, xS) = xN & sdtasdt0(xH, xH) = all_0_4_4 & sdtasdt0(xF, xD) = xS & sdtasdt0(xE, xH) = xP & sdtasdt0(xE, xE) = all_0_8_8 & sdtasdt0(xC, xG) = xR & sdtasdt0(xC, xD) = all_0_7_7 & sdtasdt0(xB, xB) = xG & sdtasdt0(xA, xB) = xH & sdtasdt0(xA, xA) = xF & sdtpldt0(all_0_5_5, all_0_4_4) = all_0_1_1 & sdtpldt0(all_0_6_6, all_0_4_4) = all_0_3_3 & sdtpldt0(all_0_7_7, all_0_1_1) = all_0_0_0 & sdtpldt0(all_0_8_8, all_0_3_3) = all_0_2_2 & sdtpldt0(xP, xP) = all_0_6_6 & sdtpldt0(xR, xS) = all_0_5_5 & szszuzczcdt0(all_0_9_9) = all_0_11_11 & szszuzczcdt0(all_0_10_10) = all_0_11_11 & aVector0(xq) & aVector0(xp) & aVector0(xt) & aVector0(xs) & sdtlseqdt0(all_0_6_6, all_0_5_5) & sdtlseqdt0(all_0_8_8, all_0_7_7) & aScalar0(xN) & aScalar0(xS) & aScalar0(xP) & aScalar0(xR) & aScalar0(xH) & aScalar0(xG) & aScalar0(xF) & aScalar0(xE) & aScalar0(xD) & aScalar0(xC) & aScalar0(xB) & aScalar0(xA) & aScalar0(sz0z00) & aNaturalNumber0(sz00) & ~ sdtlseqdt0(all_0_2_2, all_0_0_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) | ~ aScalar0(v3) | ~ aScalar0(v2) | ~ aScalar0(v1) | ~ aScalar0(v0) | ? [v11] : ? [v12] : (sdtasdt0(v11, v12) = v10 & sdtpldt0(v2, v3) = v12 & sdtpldt0(v0, v1) = v11)) & ! [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) | ~ aVector0(v1) | ~ aVector0(v0) | sdtasasdt0(v0, v1) = v9) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (sdtasdt0(v1, v3) = v5) | ~ (sdtasdt0(v0, v2) = v4) | ~ sdtlseqdt0(v2, v3) | ~ sdtlseqdt0(v0, v1) | ~ sdtlseqdt0(sz0z00, v2) | ~ aScalar0(v3) | ~ aScalar0(v2) | ~ aScalar0(v1) | ~ aScalar0(v0) | sdtlseqdt0(v4, v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (sdtasdt0(v0, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ (sdtpldt0(v3, v4) = v5) | ~ aScalar0(v2) | ~ aScalar0(v1) | ~ aScalar0(v0) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (sdtasdt0(v7, v2) = v8 & sdtasdt0(v1, v2) = v9 & sdtasdt0(v0, v6) = v5 & sdtpldt0(v4, v9) = v8 & sdtpldt0(v1, v2) = v6 & sdtpldt0(v0, v1) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (sdtpldt0(v1, v3) = v5) | ~ (sdtpldt0(v0, v2) = v4) | ~ sdtlseqdt0(v2, v3) | ~ sdtlseqdt0(v0, v1) | ~ aScalar0(v3) | ~ aScalar0(v2) | ~ aScalar0(v1) | ~ aScalar0(v0) | sdtlseqdt0(v4, v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtasasdt0(v1, v1) = v3) | ~ (sdtasasdt0(v0, v0) = v2) | ~ (sdtasdt0(v2, v3) = v4) | ~ aVector0(v1) | ~ aVector0(v0) | ? [v5] : ? [v6] : ((sdtasasdt0(v0, v1) = v5 & sdtasdt0(v5, v5) = v6 & sdtlseqdt0(v6, v4)) | (aDimensionOf0(v0) = v5 & ( ~ iLess0(v5, all_0_11_11) | ( ~ (v6 = v5) & aDimensionOf0(v1) = v6))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (smndt0(v1) = v3) | ~ (smndt0(v0) = v2) | ~ (sdtasdt0(v2, v3) = v4) | ~ aScalar0(v1) | ~ aScalar0(v0) | sdtasdt0(v0, v1) = v4) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ aScalar0(v2) | ~ aScalar0(v1) | ~ aScalar0(v0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (sdtasdt0(v6, v2) = v7 & sdtasdt0(v1, v2) = v8 & sdtasdt0(v1, v0) = v6 & sdtasdt0(v0, v8) = v7 & sdtasdt0(v0, v1) = v6 & sdtpldt0(v1, v2) = v5 & sdtpldt0(v1, v0) = v3 & sdtpldt0(v0, v5) = v4)) & ! [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 | ~ (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] : ( ~ (sziznziztdt0(v1) = v3) | ~ (sziznziztdt0(v0) = v2) | ~ aVector0(v1) | ~ aVector0(v0) | ? [v4] : ? [v5] : ((v5 = v4 & aDimensionOf0(v3) = v4 & aDimensionOf0(v2) = v4) | (aDimensionOf0(v1) = v5 & (v5 = sz00 | ( ~ (v5 = v4) & aDimensionOf0(v0) = v4))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (smndt0(v0) = v2) | ~ (sdtasdt0(v2, v1) = v3) | ~ aScalar0(v1) | ~ aScalar0(v0) | ? [v4] : ? [v5] : (smndt0(v5) = v3 & smndt0(v1) = v4 & sdtasdt0(v0, v4) = v3 & sdtasdt0(v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : (v2 = sz0z00 | ~ (sdtasasdt0(v0, v1) = v2) | ~ aVector0(v1) | ~ aVector0(v0) | ? [v3] : ? [v4] : (aDimensionOf0(v1) = v4 & ( ~ (v4 = sz00) | ( ~ (v3 = sz00) & aDimensionOf0(v0) = v3)))) & ! [v0] : ! [v1] : ! [v2] : (v2 = sz0z00 | ~ (smndt0(v0) = v1) | ~ (sdtpldt0(v1, v0) = v2) | ~ aScalar0(v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (sziznziztdt0(v2) = v1) | ~ (sziznziztdt0(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 | ~ (sdtasdt0(v1, v1) = v2) | ~ (sdtasdt0(v0, v0) = v2) | ~ sdtlseqdt0(sz0z00, v1) | ~ sdtlseqdt0(sz0z00, v0) | ~ aScalar0(v1) | ~ aScalar0(v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (szszuzczcdt0(v2) = v1) | ~ (szszuzczcdt0(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (szszuzczcdt0(v1) = v2) | ~ (szszuzczcdt0(v0) = v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0)) & ! [v0] : ! [v1] : ! [v2] : (all_0_12_12 = sz0z00 | ~ (smndt0(v0) = v1) | ~ (sdtpldt0(v1, v0) = v2) | ~ aScalar0(v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasasdt0(v0, v1) = v2) | ~ aVector0(v1) | ~ aVector0(v0) | aScalar0(v2) | ? [v3] : ? [v4] : ( ~ (v4 = v3) & aDimensionOf0(v1) = v4 & aDimensionOf0(v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtlbdtrb0(v0, v1) = v2) | ~ aVector0(v0) | ~ aNaturalNumber0(v1) | aScalar0(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (smndt0(v0) = v1) | ~ (sdtpldt0(v1, v0) = v2) | ~ aScalar0(v0) | (smndt0(v1) = v0 & sdtasdt0(v0, sz0z00) = sz0z00 & sdtasdt0(sz0z00, v0) = sz0z00 & sdtpldt0(v0, v1) = sz0z00 & sdtpldt0(v0, sz0z00) = v0 & sdtpldt0(sz0z00, v0) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasdt0(v0, v1) = v2) | ~ aScalar0(v1) | ~ aScalar0(v0) | aScalar0(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) | ~ sdtlseqdt0(sz0z00, v1) | ~ sdtlseqdt0(sz0z00, v0) | ~ aScalar0(v1) | ~ aScalar0(v0) | sdtlseqdt0(sz0z00, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) | ~ sdtlseqdt0(sz0z00, v1) | ~ sdtlseqdt0(sz0z00, v0) | ~ aScalar0(v1) | ~ aScalar0(v0) | ? [v3] : (sdtasdt0(v0, v1) = v3 & sdtlseqdt0(sz0z00, v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) | ~ aScalar0(v1) | ~ aScalar0(v0) | aScalar0(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ sdtlseqdt0(v1, v2) | ~ sdtlseqdt0(v0, v1) | ~ aScalar0(v2) | ~ aScalar0(v1) | ~ aScalar0(v0) | sdtlseqdt0(v0, v2)) & ! [v0] : ! [v1] : (v1 = v0 | ~ sdtlseqdt0(v1, v0) | ~ sdtlseqdt0(v0, v1) | ~ aScalar0(v1) | ~ aScalar0(v0)) & ! [v0] : ! [v1] : ( ~ (sdtasasdt0(v0, v0) = v1) | ~ aVector0(v0) | sdtlseqdt0(sz0z00, v1)) & ! [v0] : ! [v1] : ( ~ (sziznziztdt0(v0) = v1) | ~ aVector0(v0) | ? [v2] : (aDimensionOf0(v0) = v2 & (v2 = sz00 | ( ! [v3] : ! [v4] : ! [v5] : ( ~ (sdtlbdtrb0(v0, v4) = v5) | ~ (aDimensionOf0(v1) = v3) | ~ aNaturalNumber0(v4) | sdtlbdtrb0(v1, v4) = v5) & ! [v3] : ! [v4] : (v3 = v1 | ~ (aDimensionOf0(v3) = v4) | ~ aVector0(v3) | ? [v5] : ? [v6] : ? [v7] : (( ~ (v7 = v6) & sdtlbdtrb0(v3, v5) = v6 & sdtlbdtrb0(v0, v5) = v7 & aNaturalNumber0(v5)) | ( ~ (v5 = v2) & szszuzczcdt0(v4) = v5))) & ! [v3] : ( ~ (aDimensionOf0(v1) = v3) | szszuzczcdt0(v3) = v2) & ! [v3] : ( ~ (aDimensionOf0(v1) = v3) | aVector0(v1)))))) & ! [v0] : ! [v1] : ( ~ (sdtlbdtrb0(xp, v0) = v1) | ~ aNaturalNumber0(v0) | sdtlbdtrb0(xs, v0) = v1) & ! [v0] : ! [v1] : ( ~ (sdtlbdtrb0(xt, v0) = v1) | ~ aNaturalNumber0(v0) | sdtlbdtrb0(xq, v0) = v1) & ! [v0] : ! [v1] : ( ~ (aDimensionOf0(v0) = v1) | ~ aVector0(v0) | aNaturalNumber0(v1)) & ! [v0] : ! [v1] : ( ~ (smndt0(v0) = v1) | ~ aScalar0(v0) | aScalar0(v1)) & ! [v0] : ! [v1] : ( ~ (sdtasdt0(v0, v0) = v1) | ~ aScalar0(v0) | sdtlseqdt0(sz0z00, v1)) & ! [v0] : ! [v1] : ( ~ (szszuzczcdt0(v0) = v1) | ~ aNaturalNumber0(v0) | iLess0(v0, v1)) & ! [v0] : ! [v1] : ( ~ (szszuzczcdt0(v0) = v1) | ~ aNaturalNumber0(v0) | aNaturalNumber0(v1)) & ! [v0] : ! [v1] : ( ~ aScalar0(v1) | ~ aScalar0(v0) | sdtlseqdt0(v1, v0) | sdtlseqdt0(v0, v1)) & ! [v0] : (v0 = sz00 | ~ aNaturalNumber0(v0) | ? [v1] : (szszuzczcdt0(v1) = v0 & aNaturalNumber0(v1))) & ! [v0] : ( ~ (szszuzczcdt0(v0) = sz00) | ~ aNaturalNumber0(v0)) & ! [v0] : ( ~ aScalar0(v0) | sdtlseqdt0(v0, v0))
% 46.43/17.47 |
% 46.43/17.47 | Applying alpha-rule on (1) yields:
% 46.43/17.47 | (2) sdtasasdt0(xp, xp) = xC
% 46.43/17.47 | (3) aScalar0(xS)
% 46.43/17.47 | (4) ~ (all_0_11_11 = sz00)
% 46.43/17.47 | (5) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) | ~ sdtlseqdt0(sz0z00, v1) | ~ sdtlseqdt0(sz0z00, v0) | ~ aScalar0(v1) | ~ aScalar0(v0) | ? [v3] : (sdtasdt0(v0, v1) = v3 & sdtlseqdt0(sz0z00, v3)))
% 46.43/17.47 | (6) aScalar0(xH)
% 46.43/17.47 | (7) sdtlseqdt0(all_0_6_6, all_0_5_5)
% 46.43/17.47 | (8) aDimensionOf0(xs) = all_0_11_11
% 46.43/17.47 | (9) sdtpldt0(all_0_5_5, all_0_4_4) = all_0_1_1
% 46.43/17.47 | (10) aScalar0(xF)
% 46.43/17.48 | (11) aScalar0(xG)
% 46.43/17.48 | (12) sdtasdt0(xE, xE) = all_0_8_8
% 46.43/17.48 | (13) ! [v0] : ! [v1] : ( ~ (sziznziztdt0(v0) = v1) | ~ aVector0(v0) | ? [v2] : (aDimensionOf0(v0) = v2 & (v2 = sz00 | ( ! [v3] : ! [v4] : ! [v5] : ( ~ (sdtlbdtrb0(v0, v4) = v5) | ~ (aDimensionOf0(v1) = v3) | ~ aNaturalNumber0(v4) | sdtlbdtrb0(v1, v4) = v5) & ! [v3] : ! [v4] : (v3 = v1 | ~ (aDimensionOf0(v3) = v4) | ~ aVector0(v3) | ? [v5] : ? [v6] : ? [v7] : (( ~ (v7 = v6) & sdtlbdtrb0(v3, v5) = v6 & sdtlbdtrb0(v0, v5) = v7 & aNaturalNumber0(v5)) | ( ~ (v5 = v2) & szszuzczcdt0(v4) = v5))) & ! [v3] : ( ~ (aDimensionOf0(v1) = v3) | szszuzczcdt0(v3) = v2) & ! [v3] : ( ~ (aDimensionOf0(v1) = v3) | aVector0(v1))))))
% 46.43/17.48 | (14) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) | ~ sdtlseqdt0(sz0z00, v1) | ~ sdtlseqdt0(sz0z00, v0) | ~ aScalar0(v1) | ~ aScalar0(v0) | sdtlseqdt0(sz0z00, v2))
% 46.43/17.48 | (15) ! [v0] : ! [v1] : ( ~ (smndt0(v0) = v1) | ~ aScalar0(v0) | aScalar0(v1))
% 46.43/17.48 | (16) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtasdt0(v3, v2) = v1) | ~ (sdtasdt0(v3, v2) = v0))
% 46.43/17.48 | (17) aScalar0(sz0z00)
% 46.43/17.48 | (18) szszuzczcdt0(all_0_10_10) = all_0_11_11
% 46.43/17.48 | (19) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtasasdt0(v3, v2) = v1) | ~ (sdtasasdt0(v3, v2) = v0))
% 46.43/17.48 | (20) ! [v0] : (v0 = sz00 | ~ aNaturalNumber0(v0) | ? [v1] : (szszuzczcdt0(v1) = v0 & aNaturalNumber0(v1)))
% 46.43/17.48 | (21) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtasasdt0(v1, v1) = v3) | ~ (sdtasasdt0(v0, v0) = v2) | ~ (sdtasdt0(v2, v3) = v4) | ~ aVector0(v1) | ~ aVector0(v0) | ? [v5] : ? [v6] : ((sdtasasdt0(v0, v1) = v5 & sdtasdt0(v5, v5) = v6 & sdtlseqdt0(v6, v4)) | (aDimensionOf0(v0) = v5 & ( ~ iLess0(v5, all_0_11_11) | ( ~ (v6 = v5) & aDimensionOf0(v1) = v6)))))
% 46.43/17.48 | (22) sdtasdt0(xF, xD) = xS
% 46.43/17.48 | (23) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtlbdtrb0(v0, v1) = v2) | ~ aVector0(v0) | ~ aNaturalNumber0(v1) | aScalar0(v2))
% 46.43/17.48 | (24) sziznziztdt0(xs) = xp
% 46.43/17.48 | (25) aDimensionOf0(xp) = all_0_10_10
% 46.43/17.48 | (26) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasdt0(v0, v1) = v2) | ~ aScalar0(v1) | ~ aScalar0(v0) | aScalar0(v2))
% 46.43/17.48 | (27) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtlbdtrb0(v3, v2) = v1) | ~ (sdtlbdtrb0(v3, v2) = v0))
% 46.43/17.48 | (28) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (szszuzczcdt0(v1) = v2) | ~ (szszuzczcdt0(v0) = v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0))
% 46.43/17.48 | (29) aScalar0(xR)
% 46.43/17.48 | (30) sziznziztdt0(xt) = xq
% 46.43/17.48 | (31) sdtasdt0(xH, xH) = all_0_4_4
% 46.43/17.48 | (32) aScalar0(xA)
% 46.43/17.48 | (33) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (sziznziztdt0(v2) = v1) | ~ (sziznziztdt0(v2) = v0))
% 46.43/17.48 | (34) aScalar0(xE)
% 46.43/17.48 | (35) ! [v0] : ! [v1] : ( ~ aScalar0(v1) | ~ aScalar0(v0) | sdtlseqdt0(v1, v0) | sdtlseqdt0(v0, v1))
% 46.43/17.48 | (36) ! [v0] : ! [v1] : ( ~ (sdtlbdtrb0(xp, v0) = v1) | ~ aNaturalNumber0(v0) | sdtlbdtrb0(xs, v0) = v1)
% 46.43/17.48 | (37) aVector0(xs)
% 46.43/17.48 | (38) aVector0(xt)
% 46.43/17.48 | (39) smndt0(sz0z00) = all_0_12_12
% 46.43/17.48 | (40) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ aScalar0(v2) | ~ aScalar0(v1) | ~ aScalar0(v0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (sdtasdt0(v6, v2) = v7 & sdtasdt0(v1, v2) = v8 & sdtasdt0(v1, v0) = v6 & sdtasdt0(v0, v8) = v7 & sdtasdt0(v0, v1) = v6 & sdtpldt0(v1, v2) = v5 & sdtpldt0(v1, v0) = v3 & sdtpldt0(v0, v5) = v4))
% 46.43/17.48 | (41) sdtasdt0(xE, xH) = xP
% 46.43/17.48 | (42) sdtpldt0(xR, xS) = all_0_5_5
% 46.43/17.48 | (43) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (szszuzczcdt0(v2) = v1) | ~ (szszuzczcdt0(v2) = v0))
% 46.43/17.48 | (44) ! [v0] : ! [v1] : ( ~ (sdtasdt0(v0, v0) = v1) | ~ aScalar0(v0) | sdtlseqdt0(sz0z00, v1))
% 46.43/17.48 | (45) ! [v0] : ! [v1] : ! [v2] : (all_0_12_12 = sz0z00 | ~ (smndt0(v0) = v1) | ~ (sdtpldt0(v1, v0) = v2) | ~ aScalar0(v0))
% 46.43/17.48 | (46) aScalar0(xN)
% 46.43/17.48 | (47) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0))
% 46.43/17.48 | (48) ! [v0] : ! [v1] : ! [v2] : (v2 = sz0z00 | ~ (smndt0(v0) = v1) | ~ (sdtpldt0(v1, v0) = v2) | ~ aScalar0(v0))
% 46.43/17.48 | (49) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (smndt0(v1) = v3) | ~ (smndt0(v0) = v2) | ~ (sdtasdt0(v2, v3) = v4) | ~ aScalar0(v1) | ~ aScalar0(v0) | sdtasdt0(v0, v1) = v4)
% 46.43/17.48 | (50) sdtpldt0(all_0_6_6, all_0_4_4) = all_0_3_3
% 46.43/17.49 | (51) sdtasdt0(xC, xG) = xR
% 46.43/17.49 | (52) ~ sdtlseqdt0(all_0_2_2, all_0_0_0)
% 46.43/17.49 | (53) ! [v0] : ! [v1] : ! [v2] : ( ~ (smndt0(v0) = v1) | ~ (sdtpldt0(v1, v0) = v2) | ~ aScalar0(v0) | (smndt0(v1) = v0 & sdtasdt0(v0, sz0z00) = sz0z00 & sdtasdt0(sz0z00, v0) = sz0z00 & sdtpldt0(v0, v1) = sz0z00 & sdtpldt0(v0, sz0z00) = v0 & sdtpldt0(sz0z00, v0) = v0))
% 46.43/17.49 | (54) sdtpldt0(all_0_8_8, all_0_3_3) = all_0_2_2
% 46.43/17.49 | (55) aScalar0(xB)
% 46.43/17.49 | (56) sdtasasdt0(xq, xq) = xD
% 46.43/17.49 | (57) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (sdtasdt0(v1, v3) = v5) | ~ (sdtasdt0(v0, v2) = v4) | ~ sdtlseqdt0(v2, v3) | ~ sdtlseqdt0(v0, v1) | ~ sdtlseqdt0(sz0z00, v2) | ~ aScalar0(v3) | ~ aScalar0(v2) | ~ aScalar0(v1) | ~ aScalar0(v0) | sdtlseqdt0(v4, v5))
% 46.43/17.49 | (58) ! [v0] : ( ~ (szszuzczcdt0(v0) = sz00) | ~ aNaturalNumber0(v0))
% 46.43/17.49 | (59) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aDimensionOf0(v2) = v1) | ~ (aDimensionOf0(v2) = v0))
% 46.43/17.49 | (60) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (sdtasdt0(v1, v1) = v2) | ~ (sdtasdt0(v0, v0) = v2) | ~ sdtlseqdt0(sz0z00, v1) | ~ sdtlseqdt0(sz0z00, v0) | ~ aScalar0(v1) | ~ aScalar0(v0))
% 46.43/17.49 | (61) aNaturalNumber0(sz00)
% 46.43/17.49 | (62) aScalar0(xP)
% 46.43/17.49 | (63) sdtasdt0(xA, xA) = xF
% 46.43/17.49 | (64) sdtlbdtrb0(xs, all_0_11_11) = xA
% 46.43/17.49 | (65) ! [v0] : ! [v1] : ( ~ (sdtlbdtrb0(xt, v0) = v1) | ~ aNaturalNumber0(v0) | sdtlbdtrb0(xq, v0) = v1)
% 46.43/17.49 | (66) ! [v0] : ! [v1] : ( ~ (szszuzczcdt0(v0) = v1) | ~ aNaturalNumber0(v0) | aNaturalNumber0(v1))
% 46.43/17.49 | (67) ! [v0] : ( ~ aScalar0(v0) | sdtlseqdt0(v0, v0))
% 46.43/17.49 | (68) ! [v0] : ! [v1] : ( ~ (sdtasasdt0(v0, v0) = v1) | ~ aVector0(v0) | sdtlseqdt0(sz0z00, v1))
% 46.43/17.49 | (69) szszuzczcdt0(all_0_9_9) = all_0_11_11
% 46.43/17.49 | (70) sdtlbdtrb0(xt, all_0_11_11) = xB
% 46.43/17.49 | (71) sdtasdt0(xB, xB) = xG
% 46.43/17.49 | (72) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (smndt0(v2) = v1) | ~ (smndt0(v2) = v0))
% 46.43/17.49 | (73) ! [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) | ~ aScalar0(v3) | ~ aScalar0(v2) | ~ aScalar0(v1) | ~ aScalar0(v0) | ? [v11] : ? [v12] : (sdtasdt0(v11, v12) = v10 & sdtpldt0(v2, v3) = v12 & sdtpldt0(v0, v1) = v11))
% 46.43/17.49 | (74) aVector0(xp)
% 46.43/17.49 | (75) sdtpldt0(all_0_7_7, all_0_1_1) = all_0_0_0
% 46.43/17.49 | (76) ! [v0] : ! [v1] : ! [v2] : (v2 = sz0z00 | ~ (sdtasasdt0(v0, v1) = v2) | ~ aVector0(v1) | ~ aVector0(v0) | ? [v3] : ? [v4] : (aDimensionOf0(v1) = v4 & ( ~ (v4 = sz00) | ( ~ (v3 = sz00) & aDimensionOf0(v0) = v3))))
% 46.43/17.49 | (77) sdtasdt0(xC, xD) = all_0_7_7
% 46.43/17.49 | (78) aScalar0(xC)
% 46.43/17.49 | (79) aVector0(xq)
% 46.43/17.49 | (80) aScalar0(xD)
% 46.43/17.49 | (81) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (sdtpldt0(v1, v3) = v5) | ~ (sdtpldt0(v0, v2) = v4) | ~ sdtlseqdt0(v2, v3) | ~ sdtlseqdt0(v0, v1) | ~ aScalar0(v3) | ~ aScalar0(v2) | ~ aScalar0(v1) | ~ aScalar0(v0) | sdtlseqdt0(v4, v5))
% 46.43/17.49 | (82) ! [v0] : ! [v1] : (v1 = v0 | ~ sdtlseqdt0(v1, v0) | ~ sdtlseqdt0(v0, v1) | ~ aScalar0(v1) | ~ aScalar0(v0))
% 46.43/17.49 | (83) ! [v0] : ! [v1] : ( ~ (szszuzczcdt0(v0) = v1) | ~ aNaturalNumber0(v0) | iLess0(v0, v1))
% 46.43/17.49 | (84) sdtasdt0(xR, xS) = xN
% 46.43/17.49 | (85) ! [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) | ~ aVector0(v1) | ~ aVector0(v0) | sdtasasdt0(v0, v1) = v9)
% 46.43/17.49 | (86) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) | ~ aScalar0(v1) | ~ aScalar0(v0) | aScalar0(v2))
% 46.43/17.49 | (87) sdtasdt0(xA, xB) = xH
% 46.43/17.49 | (88) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (sdtasdt0(v0, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ (sdtpldt0(v3, v4) = v5) | ~ aScalar0(v2) | ~ aScalar0(v1) | ~ aScalar0(v0) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (sdtasdt0(v7, v2) = v8 & sdtasdt0(v1, v2) = v9 & sdtasdt0(v0, v6) = v5 & sdtpldt0(v4, v9) = v8 & sdtpldt0(v1, v2) = v6 & sdtpldt0(v0, v1) = v7))
% 46.88/17.50 | (89) aDimensionOf0(xt) = all_0_11_11
% 46.88/17.50 | (90) ! [v0] : ! [v1] : ( ~ (aDimensionOf0(v0) = v1) | ~ aVector0(v0) | aNaturalNumber0(v1))
% 46.88/17.50 | (91) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (smndt0(v0) = v2) | ~ (sdtasdt0(v2, v1) = v3) | ~ aScalar0(v1) | ~ aScalar0(v0) | ? [v4] : ? [v5] : (smndt0(v5) = v3 & smndt0(v1) = v4 & sdtasdt0(v0, v4) = v3 & sdtasdt0(v0, v1) = v5))
% 46.88/17.50 | (92) ! [v0] : ! [v1] : ! [v2] : ( ~ sdtlseqdt0(v1, v2) | ~ sdtlseqdt0(v0, v1) | ~ aScalar0(v2) | ~ aScalar0(v1) | ~ aScalar0(v0) | sdtlseqdt0(v0, v2))
% 46.88/17.50 | (93) sdtasasdt0(xp, xq) = xE
% 46.88/17.50 | (94) sdtlseqdt0(all_0_8_8, all_0_7_7)
% 46.88/17.50 | (95) aDimensionOf0(xq) = all_0_9_9
% 46.88/17.50 | (96) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sziznziztdt0(v1) = v3) | ~ (sziznziztdt0(v0) = v2) | ~ aVector0(v1) | ~ aVector0(v0) | ? [v4] : ? [v5] : ((v5 = v4 & aDimensionOf0(v3) = v4 & aDimensionOf0(v2) = v4) | (aDimensionOf0(v1) = v5 & (v5 = sz00 | ( ~ (v5 = v4) & aDimensionOf0(v0) = v4)))))
% 46.88/17.50 | (97) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasasdt0(v0, v1) = v2) | ~ aVector0(v1) | ~ aVector0(v0) | aScalar0(v2) | ? [v3] : ? [v4] : ( ~ (v4 = v3) & aDimensionOf0(v1) = v4 & aDimensionOf0(v0) = v3))
% 46.88/17.50 | (98) sdtpldt0(xP, xP) = all_0_6_6
% 46.88/17.50 |
% 46.88/17.50 | Instantiating formula (13) with xp, xs and discharging atoms sziznziztdt0(xs) = xp, aVector0(xs), yields:
% 46.88/17.50 | (99) ? [v0] : (aDimensionOf0(xs) = v0 & (v0 = sz00 | ( ! [v1] : ! [v2] : ! [v3] : ( ~ (sdtlbdtrb0(xs, v2) = v3) | ~ (aDimensionOf0(xp) = v1) | ~ aNaturalNumber0(v2) | sdtlbdtrb0(xp, v2) = v3) & ! [v1] : ! [v2] : (v1 = xp | ~ (aDimensionOf0(v1) = v2) | ~ aVector0(v1) | ? [v3] : ? [v4] : ? [v5] : (( ~ (v5 = v4) & sdtlbdtrb0(v1, v3) = v4 & sdtlbdtrb0(xs, v3) = v5 & aNaturalNumber0(v3)) | ( ~ (v3 = v0) & szszuzczcdt0(v2) = v3))) & ! [v1] : ( ~ (aDimensionOf0(xp) = v1) | szszuzczcdt0(v1) = v0) & ! [v1] : ( ~ (aDimensionOf0(xp) = v1) | aVector0(xp)))))
% 46.88/17.50 |
% 46.88/17.50 | Instantiating formula (90) with all_0_9_9, xq and discharging atoms aDimensionOf0(xq) = all_0_9_9, aVector0(xq), yields:
% 46.88/17.50 | (100) aNaturalNumber0(all_0_9_9)
% 46.88/17.50 |
% 46.88/17.50 | Instantiating formula (90) with all_0_10_10, xp and discharging atoms aDimensionOf0(xp) = all_0_10_10, aVector0(xp), yields:
% 46.88/17.50 | (101) aNaturalNumber0(all_0_10_10)
% 46.88/17.50 |
% 46.88/17.50 | Instantiating formula (21) with all_0_7_7, xD, xC, xq, xp and discharging atoms sdtasasdt0(xq, xq) = xD, sdtasasdt0(xp, xp) = xC, sdtasdt0(xC, xD) = all_0_7_7, aVector0(xq), aVector0(xp), yields:
% 46.88/17.50 | (102) ? [v0] : ? [v1] : ((sdtasasdt0(xp, xq) = v0 & sdtasdt0(v0, v0) = v1 & sdtlseqdt0(v1, all_0_7_7)) | (aDimensionOf0(xp) = v0 & ( ~ iLess0(v0, all_0_11_11) | ( ~ (v1 = v0) & aDimensionOf0(xq) = v1))))
% 46.88/17.50 |
% 46.88/17.50 | Instantiating formula (13) with xq, xt and discharging atoms sziznziztdt0(xt) = xq, aVector0(xt), yields:
% 46.88/17.50 | (103) ? [v0] : (aDimensionOf0(xt) = v0 & (v0 = sz00 | ( ! [v1] : ! [v2] : ! [v3] : ( ~ (sdtlbdtrb0(xt, v2) = v3) | ~ (aDimensionOf0(xq) = v1) | ~ aNaturalNumber0(v2) | sdtlbdtrb0(xq, v2) = v3) & ! [v1] : ! [v2] : (v1 = xq | ~ (aDimensionOf0(v1) = v2) | ~ aVector0(v1) | ? [v3] : ? [v4] : ? [v5] : (( ~ (v5 = v4) & sdtlbdtrb0(v1, v3) = v4 & sdtlbdtrb0(xt, v3) = v5 & aNaturalNumber0(v3)) | ( ~ (v3 = v0) & szszuzczcdt0(v2) = v3))) & ! [v1] : ( ~ (aDimensionOf0(xq) = v1) | szszuzczcdt0(v1) = v0) & ! [v1] : ( ~ (aDimensionOf0(xq) = v1) | aVector0(xq)))))
% 46.88/17.50 |
% 46.88/17.50 | Instantiating formula (96) with xq, xp, xt, xs and discharging atoms sziznziztdt0(xt) = xq, sziznziztdt0(xs) = xp, aVector0(xt), aVector0(xs), yields:
% 46.88/17.50 | (104) ? [v0] : ? [v1] : ((v1 = v0 & aDimensionOf0(xq) = v0 & aDimensionOf0(xp) = v0) | (aDimensionOf0(xt) = v1 & (v1 = sz00 | ( ~ (v1 = v0) & aDimensionOf0(xs) = v0))))
% 46.88/17.50 |
% 46.88/17.50 | Instantiating formula (96) with xp, xq, xs, xt and discharging atoms sziznziztdt0(xt) = xq, sziznziztdt0(xs) = xp, aVector0(xt), aVector0(xs), yields:
% 46.88/17.50 | (105) ? [v0] : ? [v1] : ((v1 = v0 & aDimensionOf0(xq) = v0 & aDimensionOf0(xp) = v0) | (aDimensionOf0(xs) = v1 & (v1 = sz00 | ( ~ (v1 = v0) & aDimensionOf0(xt) = v0))))
% 46.88/17.51 |
% 46.88/17.51 | Instantiating formula (86) with all_0_5_5, xS, xR and discharging atoms sdtpldt0(xR, xS) = all_0_5_5, aScalar0(xS), aScalar0(xR), yields:
% 46.88/17.51 | (106) aScalar0(all_0_5_5)
% 46.88/17.51 |
% 46.88/17.51 | Instantiating formula (86) with all_0_6_6, xP, xP and discharging atoms sdtpldt0(xP, xP) = all_0_6_6, aScalar0(xP), yields:
% 46.88/17.51 | (107) aScalar0(all_0_6_6)
% 46.88/17.51 |
% 46.88/17.51 | Instantiating formula (26) with all_0_4_4, xH, xH and discharging atoms sdtasdt0(xH, xH) = all_0_4_4, aScalar0(xH), yields:
% 46.88/17.51 | (108) aScalar0(all_0_4_4)
% 46.88/17.51 |
% 46.88/17.51 | Instantiating formula (26) with all_0_8_8, xE, xE and discharging atoms sdtasdt0(xE, xE) = all_0_8_8, aScalar0(xE), yields:
% 46.88/17.51 | (109) aScalar0(all_0_8_8)
% 46.88/17.51 |
% 46.88/17.51 | Instantiating formula (26) with all_0_7_7, xD, xC and discharging atoms sdtasdt0(xC, xD) = all_0_7_7, aScalar0(xD), aScalar0(xC), yields:
% 46.88/17.51 | (110) aScalar0(all_0_7_7)
% 46.88/17.51 |
% 46.88/17.51 | Instantiating (103) with all_9_0_13 yields:
% 46.88/17.51 | (111) aDimensionOf0(xt) = all_9_0_13 & (all_9_0_13 = sz00 | ( ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtlbdtrb0(xt, v1) = v2) | ~ (aDimensionOf0(xq) = v0) | ~ aNaturalNumber0(v1) | sdtlbdtrb0(xq, v1) = v2) & ! [v0] : ! [v1] : (v0 = xq | ~ (aDimensionOf0(v0) = v1) | ~ aVector0(v0) | ? [v2] : ? [v3] : ? [v4] : (( ~ (v4 = v3) & sdtlbdtrb0(v0, v2) = v3 & sdtlbdtrb0(xt, v2) = v4 & aNaturalNumber0(v2)) | ( ~ (v2 = all_9_0_13) & szszuzczcdt0(v1) = v2))) & ! [v0] : ( ~ (aDimensionOf0(xq) = v0) | szszuzczcdt0(v0) = all_9_0_13) & ! [v0] : ( ~ (aDimensionOf0(xq) = v0) | aVector0(xq))))
% 46.88/17.51 |
% 46.88/17.51 | Applying alpha-rule on (111) yields:
% 46.88/17.51 | (112) aDimensionOf0(xt) = all_9_0_13
% 46.88/17.51 | (113) all_9_0_13 = sz00 | ( ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtlbdtrb0(xt, v1) = v2) | ~ (aDimensionOf0(xq) = v0) | ~ aNaturalNumber0(v1) | sdtlbdtrb0(xq, v1) = v2) & ! [v0] : ! [v1] : (v0 = xq | ~ (aDimensionOf0(v0) = v1) | ~ aVector0(v0) | ? [v2] : ? [v3] : ? [v4] : (( ~ (v4 = v3) & sdtlbdtrb0(v0, v2) = v3 & sdtlbdtrb0(xt, v2) = v4 & aNaturalNumber0(v2)) | ( ~ (v2 = all_9_0_13) & szszuzczcdt0(v1) = v2))) & ! [v0] : ( ~ (aDimensionOf0(xq) = v0) | szszuzczcdt0(v0) = all_9_0_13) & ! [v0] : ( ~ (aDimensionOf0(xq) = v0) | aVector0(xq)))
% 46.88/17.51 |
% 46.88/17.51 | Instantiating (99) with all_13_0_18 yields:
% 46.88/17.51 | (114) aDimensionOf0(xs) = all_13_0_18 & (all_13_0_18 = sz00 | ( ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtlbdtrb0(xs, v1) = v2) | ~ (aDimensionOf0(xp) = v0) | ~ aNaturalNumber0(v1) | sdtlbdtrb0(xp, v1) = v2) & ! [v0] : ! [v1] : (v0 = xp | ~ (aDimensionOf0(v0) = v1) | ~ aVector0(v0) | ? [v2] : ? [v3] : ? [v4] : (( ~ (v4 = v3) & sdtlbdtrb0(v0, v2) = v3 & sdtlbdtrb0(xs, v2) = v4 & aNaturalNumber0(v2)) | ( ~ (v2 = all_13_0_18) & szszuzczcdt0(v1) = v2))) & ! [v0] : ( ~ (aDimensionOf0(xp) = v0) | szszuzczcdt0(v0) = all_13_0_18) & ! [v0] : ( ~ (aDimensionOf0(xp) = v0) | aVector0(xp))))
% 46.88/17.51 |
% 46.88/17.51 | Applying alpha-rule on (114) yields:
% 46.88/17.51 | (115) aDimensionOf0(xs) = all_13_0_18
% 46.88/17.51 | (116) all_13_0_18 = sz00 | ( ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtlbdtrb0(xs, v1) = v2) | ~ (aDimensionOf0(xp) = v0) | ~ aNaturalNumber0(v1) | sdtlbdtrb0(xp, v1) = v2) & ! [v0] : ! [v1] : (v0 = xp | ~ (aDimensionOf0(v0) = v1) | ~ aVector0(v0) | ? [v2] : ? [v3] : ? [v4] : (( ~ (v4 = v3) & sdtlbdtrb0(v0, v2) = v3 & sdtlbdtrb0(xs, v2) = v4 & aNaturalNumber0(v2)) | ( ~ (v2 = all_13_0_18) & szszuzczcdt0(v1) = v2))) & ! [v0] : ( ~ (aDimensionOf0(xp) = v0) | szszuzczcdt0(v0) = all_13_0_18) & ! [v0] : ( ~ (aDimensionOf0(xp) = v0) | aVector0(xp)))
% 46.88/17.51 |
% 46.88/17.51 | Instantiating (102) with all_15_0_19, all_15_1_20 yields:
% 46.88/17.51 | (117) (sdtasasdt0(xp, xq) = all_15_1_20 & sdtasdt0(all_15_1_20, all_15_1_20) = all_15_0_19 & sdtlseqdt0(all_15_0_19, all_0_7_7)) | (aDimensionOf0(xp) = all_15_1_20 & ( ~ iLess0(all_15_1_20, all_0_11_11) | ( ~ (all_15_0_19 = all_15_1_20) & aDimensionOf0(xq) = all_15_0_19)))
% 46.88/17.51 |
% 46.88/17.51 | Instantiating (105) with all_16_0_21, all_16_1_22 yields:
% 46.88/17.51 | (118) (all_16_0_21 = all_16_1_22 & aDimensionOf0(xq) = all_16_1_22 & aDimensionOf0(xp) = all_16_1_22) | (aDimensionOf0(xs) = all_16_0_21 & (all_16_0_21 = sz00 | ( ~ (all_16_0_21 = all_16_1_22) & aDimensionOf0(xt) = all_16_1_22)))
% 46.88/17.51 |
% 46.88/17.51 | Instantiating (104) with all_17_0_23, all_17_1_24 yields:
% 46.88/17.51 | (119) (all_17_0_23 = all_17_1_24 & aDimensionOf0(xq) = all_17_1_24 & aDimensionOf0(xp) = all_17_1_24) | (aDimensionOf0(xt) = all_17_0_23 & (all_17_0_23 = sz00 | ( ~ (all_17_0_23 = all_17_1_24) & aDimensionOf0(xs) = all_17_1_24)))
% 46.88/17.51 |
% 46.88/17.51 | Instantiating formula (59) with xt, all_9_0_13, all_0_11_11 and discharging atoms aDimensionOf0(xt) = all_9_0_13, aDimensionOf0(xt) = all_0_11_11, yields:
% 46.88/17.51 | (120) all_9_0_13 = all_0_11_11
% 46.88/17.51 |
% 46.88/17.51 | Instantiating formula (59) with xs, all_13_0_18, all_0_11_11 and discharging atoms aDimensionOf0(xs) = all_13_0_18, aDimensionOf0(xs) = all_0_11_11, yields:
% 46.88/17.51 | (121) all_13_0_18 = all_0_11_11
% 46.88/17.51 |
% 46.88/17.51 | Instantiating formula (28) with all_0_11_11, all_0_9_9, all_0_10_10 and discharging atoms szszuzczcdt0(all_0_9_9) = all_0_11_11, szszuzczcdt0(all_0_10_10) = all_0_11_11, aNaturalNumber0(all_0_9_9), aNaturalNumber0(all_0_10_10), yields:
% 46.88/17.51 | (122) all_0_9_9 = all_0_10_10
% 46.88/17.51 |
% 46.88/17.51 | From (122) and (95) follows:
% 46.88/17.52 | (123) aDimensionOf0(xq) = all_0_10_10
% 46.88/17.52 |
% 46.88/17.52 | From (120) and (112) follows:
% 46.88/17.52 | (89) aDimensionOf0(xt) = all_0_11_11
% 46.88/17.52 |
% 46.88/17.52 | From (121) and (115) follows:
% 46.88/17.52 | (8) aDimensionOf0(xs) = all_0_11_11
% 46.88/17.52 |
% 46.88/17.52 | From (122) and (69) follows:
% 46.88/17.52 | (18) szszuzczcdt0(all_0_10_10) = all_0_11_11
% 46.88/17.52 |
% 46.88/17.52 | From (122) and (100) follows:
% 46.88/17.52 | (101) aNaturalNumber0(all_0_10_10)
% 46.88/17.52 |
% 46.88/17.52 +-Applying beta-rule and splitting (119), into two cases.
% 46.88/17.52 |-Branch one:
% 46.88/17.52 | (128) all_17_0_23 = all_17_1_24 & aDimensionOf0(xq) = all_17_1_24 & aDimensionOf0(xp) = all_17_1_24
% 46.88/17.52 |
% 46.88/17.52 | Applying alpha-rule on (128) yields:
% 46.88/17.52 | (129) all_17_0_23 = all_17_1_24
% 46.88/17.52 | (130) aDimensionOf0(xq) = all_17_1_24
% 46.88/17.52 | (131) aDimensionOf0(xp) = all_17_1_24
% 46.88/17.52 |
% 46.88/17.52 +-Applying beta-rule and splitting (116), into two cases.
% 46.88/17.52 |-Branch one:
% 46.88/17.52 | (132) all_13_0_18 = sz00
% 46.88/17.52 |
% 46.88/17.52 | Combining equations (132,121) yields a new equation:
% 46.88/17.52 | (133) all_0_11_11 = sz00
% 46.88/17.52 |
% 46.88/17.52 | Equations (133) can reduce 4 to:
% 46.88/17.52 | (134) $false
% 46.88/17.52 |
% 46.88/17.52 |-The branch is then unsatisfiable
% 46.88/17.52 |-Branch two:
% 46.88/17.52 | (135) ~ (all_13_0_18 = sz00)
% 46.88/17.52 | (136) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtlbdtrb0(xs, v1) = v2) | ~ (aDimensionOf0(xp) = v0) | ~ aNaturalNumber0(v1) | sdtlbdtrb0(xp, v1) = v2) & ! [v0] : ! [v1] : (v0 = xp | ~ (aDimensionOf0(v0) = v1) | ~ aVector0(v0) | ? [v2] : ? [v3] : ? [v4] : (( ~ (v4 = v3) & sdtlbdtrb0(v0, v2) = v3 & sdtlbdtrb0(xs, v2) = v4 & aNaturalNumber0(v2)) | ( ~ (v2 = all_13_0_18) & szszuzczcdt0(v1) = v2))) & ! [v0] : ( ~ (aDimensionOf0(xp) = v0) | szszuzczcdt0(v0) = all_13_0_18) & ! [v0] : ( ~ (aDimensionOf0(xp) = v0) | aVector0(xp))
% 46.88/17.52 |
% 46.88/17.52 | Equations (121) can reduce 135 to:
% 46.88/17.52 | (4) ~ (all_0_11_11 = sz00)
% 46.88/17.52 |
% 46.88/17.52 +-Applying beta-rule and splitting (118), into two cases.
% 46.88/17.52 |-Branch one:
% 46.88/17.52 | (138) all_16_0_21 = all_16_1_22 & aDimensionOf0(xq) = all_16_1_22 & aDimensionOf0(xp) = all_16_1_22
% 46.88/17.52 |
% 46.88/17.52 | Applying alpha-rule on (138) yields:
% 46.88/17.52 | (139) all_16_0_21 = all_16_1_22
% 46.88/17.52 | (140) aDimensionOf0(xq) = all_16_1_22
% 46.88/17.52 | (141) aDimensionOf0(xp) = all_16_1_22
% 46.88/17.52 |
% 46.88/17.52 | Instantiating formula (59) with xq, all_0_10_10, all_17_1_24 and discharging atoms aDimensionOf0(xq) = all_17_1_24, aDimensionOf0(xq) = all_0_10_10, yields:
% 46.88/17.52 | (142) all_17_1_24 = all_0_10_10
% 46.88/17.52 |
% 46.88/17.52 | Instantiating formula (59) with xp, all_17_1_24, all_16_1_22 and discharging atoms aDimensionOf0(xp) = all_17_1_24, aDimensionOf0(xp) = all_16_1_22, yields:
% 46.88/17.52 | (143) all_17_1_24 = all_16_1_22
% 46.88/17.52 |
% 46.88/17.52 | Combining equations (143,142) yields a new equation:
% 46.88/17.52 | (144) all_16_1_22 = all_0_10_10
% 46.88/17.52 |
% 46.88/17.52 | Simplifying 144 yields:
% 46.88/17.52 | (145) all_16_1_22 = all_0_10_10
% 46.88/17.52 |
% 46.88/17.52 | From (145) and (140) follows:
% 46.88/17.52 | (123) aDimensionOf0(xq) = all_0_10_10
% 46.88/17.52 |
% 46.88/17.52 | From (145) and (141) follows:
% 46.88/17.52 | (25) aDimensionOf0(xp) = all_0_10_10
% 46.88/17.52 |
% 46.88/17.52 | Instantiating formula (35) with all_0_4_4, all_0_4_4 and discharging atoms aScalar0(all_0_4_4), yields:
% 46.88/17.52 | (148) sdtlseqdt0(all_0_4_4, all_0_4_4)
% 46.88/17.52 |
% 46.88/17.52 | Instantiating formula (86) with all_0_1_1, all_0_4_4, all_0_5_5 and discharging atoms sdtpldt0(all_0_5_5, all_0_4_4) = all_0_1_1, aScalar0(all_0_4_4), aScalar0(all_0_5_5), yields:
% 46.88/17.52 | (149) aScalar0(all_0_1_1)
% 46.88/17.52 |
% 46.88/17.52 | Instantiating formula (86) with all_0_3_3, all_0_4_4, all_0_6_6 and discharging atoms sdtpldt0(all_0_6_6, all_0_4_4) = all_0_3_3, aScalar0(all_0_4_4), aScalar0(all_0_6_6), yields:
% 46.88/17.52 | (150) aScalar0(all_0_3_3)
% 46.88/17.52 |
% 46.88/17.52 | Instantiating formula (83) with all_0_11_11, all_0_10_10 and discharging atoms szszuzczcdt0(all_0_10_10) = all_0_11_11, aNaturalNumber0(all_0_10_10), yields:
% 46.88/17.52 | (151) iLess0(all_0_10_10, all_0_11_11)
% 46.88/17.52 |
% 46.88/17.52 +-Applying beta-rule and splitting (117), into two cases.
% 46.88/17.52 |-Branch one:
% 46.88/17.52 | (152) sdtasasdt0(xp, xq) = all_15_1_20 & sdtasdt0(all_15_1_20, all_15_1_20) = all_15_0_19 & sdtlseqdt0(all_15_0_19, all_0_7_7)
% 46.88/17.52 |
% 46.88/17.52 | Applying alpha-rule on (152) yields:
% 46.88/17.52 | (153) sdtasasdt0(xp, xq) = all_15_1_20
% 46.88/17.52 | (154) sdtasdt0(all_15_1_20, all_15_1_20) = all_15_0_19
% 46.88/17.52 | (155) sdtlseqdt0(all_15_0_19, all_0_7_7)
% 46.88/17.52 |
% 46.88/17.52 | Instantiating formula (19) with xp, xq, all_15_1_20, xE and discharging atoms sdtasasdt0(xp, xq) = all_15_1_20, sdtasasdt0(xp, xq) = xE, yields:
% 46.88/17.52 | (156) all_15_1_20 = xE
% 46.88/17.52 |
% 46.88/17.52 | From (156)(156) and (154) follows:
% 46.88/17.52 | (157) sdtasdt0(xE, xE) = all_15_0_19
% 46.88/17.52 |
% 46.88/17.52 | Instantiating formula (16) with xE, xE, all_15_0_19, all_0_8_8 and discharging atoms sdtasdt0(xE, xE) = all_15_0_19, sdtasdt0(xE, xE) = all_0_8_8, yields:
% 46.88/17.52 | (158) all_15_0_19 = all_0_8_8
% 46.88/17.52 |
% 46.88/17.52 | From (158) and (155) follows:
% 46.88/17.53 | (94) sdtlseqdt0(all_0_8_8, all_0_7_7)
% 46.88/17.53 |
% 46.88/17.53 | Instantiating formula (81) with all_0_1_1, all_0_3_3, all_0_4_4, all_0_4_4, all_0_5_5, all_0_6_6 and discharging atoms sdtpldt0(all_0_5_5, all_0_4_4) = all_0_1_1, sdtpldt0(all_0_6_6, all_0_4_4) = all_0_3_3, sdtlseqdt0(all_0_4_4, all_0_4_4), sdtlseqdt0(all_0_6_6, all_0_5_5), aScalar0(all_0_4_4), aScalar0(all_0_5_5), aScalar0(all_0_6_6), yields:
% 46.88/17.53 | (160) sdtlseqdt0(all_0_3_3, all_0_1_1)
% 46.88/17.53 |
% 46.88/17.53 | Instantiating formula (81) with all_0_0_0, all_0_2_2, all_0_1_1, all_0_3_3, all_0_7_7, all_0_8_8 and discharging atoms sdtpldt0(all_0_7_7, all_0_1_1) = all_0_0_0, sdtpldt0(all_0_8_8, all_0_3_3) = all_0_2_2, sdtlseqdt0(all_0_3_3, all_0_1_1), sdtlseqdt0(all_0_8_8, all_0_7_7), aScalar0(all_0_1_1), aScalar0(all_0_3_3), aScalar0(all_0_7_7), aScalar0(all_0_8_8), ~ sdtlseqdt0(all_0_2_2, all_0_0_0), yields:
% 46.88/17.53 | (161) $false
% 46.88/17.53 |
% 46.88/17.53 |-The branch is then unsatisfiable
% 46.88/17.53 |-Branch two:
% 46.88/17.53 | (162) aDimensionOf0(xp) = all_15_1_20 & ( ~ iLess0(all_15_1_20, all_0_11_11) | ( ~ (all_15_0_19 = all_15_1_20) & aDimensionOf0(xq) = all_15_0_19))
% 46.88/17.53 |
% 46.88/17.53 | Applying alpha-rule on (162) yields:
% 46.88/17.53 | (163) aDimensionOf0(xp) = all_15_1_20
% 46.88/17.53 | (164) ~ iLess0(all_15_1_20, all_0_11_11) | ( ~ (all_15_0_19 = all_15_1_20) & aDimensionOf0(xq) = all_15_0_19)
% 46.88/17.53 |
% 46.88/17.53 | Instantiating formula (59) with xp, all_15_1_20, all_0_10_10 and discharging atoms aDimensionOf0(xp) = all_15_1_20, aDimensionOf0(xp) = all_0_10_10, yields:
% 46.88/17.53 | (165) all_15_1_20 = all_0_10_10
% 46.88/17.53 |
% 46.88/17.53 +-Applying beta-rule and splitting (164), into two cases.
% 46.88/17.53 |-Branch one:
% 46.88/17.53 | (166) ~ iLess0(all_15_1_20, all_0_11_11)
% 46.88/17.53 |
% 46.88/17.53 | From (165) and (166) follows:
% 46.88/17.53 | (167) ~ iLess0(all_0_10_10, all_0_11_11)
% 46.88/17.53 |
% 46.88/17.53 | Using (151) and (167) yields:
% 46.88/17.53 | (161) $false
% 46.88/17.53 |
% 46.88/17.53 |-The branch is then unsatisfiable
% 46.88/17.53 |-Branch two:
% 46.88/17.53 | (169) iLess0(all_15_1_20, all_0_11_11)
% 46.88/17.53 | (170) ~ (all_15_0_19 = all_15_1_20) & aDimensionOf0(xq) = all_15_0_19
% 46.88/17.53 |
% 46.88/17.53 | Applying alpha-rule on (170) yields:
% 46.88/17.53 | (171) ~ (all_15_0_19 = all_15_1_20)
% 46.88/17.53 | (172) aDimensionOf0(xq) = all_15_0_19
% 46.88/17.53 |
% 46.88/17.53 | Equations (165) can reduce 171 to:
% 46.88/17.53 | (173) ~ (all_15_0_19 = all_0_10_10)
% 46.88/17.53 |
% 46.88/17.53 | Instantiating formula (59) with xq, all_15_0_19, all_0_10_10 and discharging atoms aDimensionOf0(xq) = all_15_0_19, aDimensionOf0(xq) = all_0_10_10, yields:
% 46.88/17.53 | (174) all_15_0_19 = all_0_10_10
% 46.88/17.53 |
% 46.88/17.53 | Equations (174) can reduce 173 to:
% 46.88/17.53 | (134) $false
% 46.88/17.53 |
% 46.88/17.53 |-The branch is then unsatisfiable
% 46.88/17.53 |-Branch two:
% 46.88/17.53 | (176) aDimensionOf0(xs) = all_16_0_21 & (all_16_0_21 = sz00 | ( ~ (all_16_0_21 = all_16_1_22) & aDimensionOf0(xt) = all_16_1_22))
% 46.88/17.53 |
% 46.88/17.53 | Applying alpha-rule on (176) yields:
% 46.88/17.53 | (177) aDimensionOf0(xs) = all_16_0_21
% 46.88/17.53 | (178) all_16_0_21 = sz00 | ( ~ (all_16_0_21 = all_16_1_22) & aDimensionOf0(xt) = all_16_1_22)
% 46.88/17.53 |
% 46.88/17.53 +-Applying beta-rule and splitting (113), into two cases.
% 46.88/17.53 |-Branch one:
% 46.88/17.53 | (179) all_9_0_13 = sz00
% 46.88/17.53 |
% 46.88/17.53 | Combining equations (179,120) yields a new equation:
% 46.88/17.53 | (133) all_0_11_11 = sz00
% 46.88/17.53 |
% 46.88/17.53 | Equations (133) can reduce 4 to:
% 46.88/17.53 | (134) $false
% 46.88/17.53 |
% 46.88/17.53 |-The branch is then unsatisfiable
% 46.88/17.53 |-Branch two:
% 46.88/17.53 | (182) ~ (all_9_0_13 = sz00)
% 46.88/17.53 | (183) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtlbdtrb0(xt, v1) = v2) | ~ (aDimensionOf0(xq) = v0) | ~ aNaturalNumber0(v1) | sdtlbdtrb0(xq, v1) = v2) & ! [v0] : ! [v1] : (v0 = xq | ~ (aDimensionOf0(v0) = v1) | ~ aVector0(v0) | ? [v2] : ? [v3] : ? [v4] : (( ~ (v4 = v3) & sdtlbdtrb0(v0, v2) = v3 & sdtlbdtrb0(xt, v2) = v4 & aNaturalNumber0(v2)) | ( ~ (v2 = all_9_0_13) & szszuzczcdt0(v1) = v2))) & ! [v0] : ( ~ (aDimensionOf0(xq) = v0) | szszuzczcdt0(v0) = all_9_0_13) & ! [v0] : ( ~ (aDimensionOf0(xq) = v0) | aVector0(xq))
% 46.88/17.53 |
% 46.88/17.53 | Equations (120) can reduce 182 to:
% 46.88/17.53 | (4) ~ (all_0_11_11 = sz00)
% 46.88/17.53 |
% 46.88/17.53 | Instantiating formula (59) with xs, all_16_0_21, all_0_11_11 and discharging atoms aDimensionOf0(xs) = all_16_0_21, aDimensionOf0(xs) = all_0_11_11, yields:
% 46.88/17.53 | (185) all_16_0_21 = all_0_11_11
% 46.88/17.53 |
% 46.88/17.53 +-Applying beta-rule and splitting (178), into two cases.
% 46.88/17.53 |-Branch one:
% 46.88/17.53 | (186) all_16_0_21 = sz00
% 46.88/17.53 |
% 46.88/17.53 | Combining equations (185,186) yields a new equation:
% 46.88/17.53 | (187) all_0_11_11 = sz00
% 46.88/17.53 |
% 46.88/17.53 | Simplifying 187 yields:
% 46.88/17.53 | (133) all_0_11_11 = sz00
% 46.88/17.53 |
% 46.88/17.53 | Equations (133) can reduce 4 to:
% 46.88/17.53 | (134) $false
% 46.88/17.53 |
% 46.88/17.53 |-The branch is then unsatisfiable
% 46.88/17.53 |-Branch two:
% 46.88/17.53 | (190) ~ (all_16_0_21 = sz00)
% 46.88/17.53 | (191) ~ (all_16_0_21 = all_16_1_22) & aDimensionOf0(xt) = all_16_1_22
% 46.88/17.53 |
% 46.88/17.53 | Applying alpha-rule on (191) yields:
% 46.88/17.53 | (192) ~ (all_16_0_21 = all_16_1_22)
% 46.88/17.53 | (193) aDimensionOf0(xt) = all_16_1_22
% 46.88/17.53 |
% 46.88/17.53 | Equations (185) can reduce 192 to:
% 46.88/17.53 | (194) ~ (all_16_1_22 = all_0_11_11)
% 46.88/17.53 |
% 46.88/17.53 | Simplifying 194 yields:
% 46.88/17.53 | (195) ~ (all_16_1_22 = all_0_11_11)
% 46.88/17.53 |
% 46.88/17.53 | Instantiating formula (59) with xt, all_16_1_22, all_0_11_11 and discharging atoms aDimensionOf0(xt) = all_16_1_22, aDimensionOf0(xt) = all_0_11_11, yields:
% 46.88/17.53 | (196) all_16_1_22 = all_0_11_11
% 46.88/17.54 |
% 46.88/17.54 | Equations (196) can reduce 195 to:
% 46.88/17.54 | (134) $false
% 46.88/17.54 |
% 46.88/17.54 |-The branch is then unsatisfiable
% 46.88/17.54 |-Branch two:
% 46.88/17.54 | (198) aDimensionOf0(xt) = all_17_0_23 & (all_17_0_23 = sz00 | ( ~ (all_17_0_23 = all_17_1_24) & aDimensionOf0(xs) = all_17_1_24))
% 46.88/17.54 |
% 46.88/17.54 | Applying alpha-rule on (198) yields:
% 46.88/17.54 | (199) aDimensionOf0(xt) = all_17_0_23
% 46.88/17.54 | (200) all_17_0_23 = sz00 | ( ~ (all_17_0_23 = all_17_1_24) & aDimensionOf0(xs) = all_17_1_24)
% 46.88/17.54 |
% 46.88/17.54 +-Applying beta-rule and splitting (116), into two cases.
% 46.88/17.54 |-Branch one:
% 46.88/17.54 | (132) all_13_0_18 = sz00
% 46.88/17.54 |
% 46.88/17.54 | Combining equations (132,121) yields a new equation:
% 46.88/17.54 | (133) all_0_11_11 = sz00
% 46.88/17.54 |
% 46.88/17.54 | Equations (133) can reduce 4 to:
% 46.88/17.54 | (134) $false
% 46.88/17.54 |
% 46.88/17.54 |-The branch is then unsatisfiable
% 46.88/17.54 |-Branch two:
% 46.88/17.54 | (135) ~ (all_13_0_18 = sz00)
% 46.88/17.54 | (136) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtlbdtrb0(xs, v1) = v2) | ~ (aDimensionOf0(xp) = v0) | ~ aNaturalNumber0(v1) | sdtlbdtrb0(xp, v1) = v2) & ! [v0] : ! [v1] : (v0 = xp | ~ (aDimensionOf0(v0) = v1) | ~ aVector0(v0) | ? [v2] : ? [v3] : ? [v4] : (( ~ (v4 = v3) & sdtlbdtrb0(v0, v2) = v3 & sdtlbdtrb0(xs, v2) = v4 & aNaturalNumber0(v2)) | ( ~ (v2 = all_13_0_18) & szszuzczcdt0(v1) = v2))) & ! [v0] : ( ~ (aDimensionOf0(xp) = v0) | szszuzczcdt0(v0) = all_13_0_18) & ! [v0] : ( ~ (aDimensionOf0(xp) = v0) | aVector0(xp))
% 46.88/17.54 |
% 46.88/17.54 | Equations (121) can reduce 135 to:
% 46.88/17.54 | (4) ~ (all_0_11_11 = sz00)
% 46.88/17.54 |
% 46.88/17.54 +-Applying beta-rule and splitting (113), into two cases.
% 46.88/17.54 |-Branch one:
% 46.88/17.54 | (179) all_9_0_13 = sz00
% 46.88/17.54 |
% 46.88/17.54 | Combining equations (120,179) yields a new equation:
% 46.88/17.54 | (187) all_0_11_11 = sz00
% 46.88/17.54 |
% 46.88/17.54 | Simplifying 187 yields:
% 46.88/17.54 | (133) all_0_11_11 = sz00
% 46.88/17.54 |
% 46.88/17.54 | Equations (133) can reduce 4 to:
% 46.88/17.54 | (134) $false
% 46.88/17.54 |
% 46.88/17.54 |-The branch is then unsatisfiable
% 46.88/17.54 |-Branch two:
% 46.88/17.54 | (182) ~ (all_9_0_13 = sz00)
% 46.88/17.54 | (183) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtlbdtrb0(xt, v1) = v2) | ~ (aDimensionOf0(xq) = v0) | ~ aNaturalNumber0(v1) | sdtlbdtrb0(xq, v1) = v2) & ! [v0] : ! [v1] : (v0 = xq | ~ (aDimensionOf0(v0) = v1) | ~ aVector0(v0) | ? [v2] : ? [v3] : ? [v4] : (( ~ (v4 = v3) & sdtlbdtrb0(v0, v2) = v3 & sdtlbdtrb0(xt, v2) = v4 & aNaturalNumber0(v2)) | ( ~ (v2 = all_9_0_13) & szszuzczcdt0(v1) = v2))) & ! [v0] : ( ~ (aDimensionOf0(xq) = v0) | szszuzczcdt0(v0) = all_9_0_13) & ! [v0] : ( ~ (aDimensionOf0(xq) = v0) | aVector0(xq))
% 46.88/17.54 |
% 46.88/17.54 | Equations (120) can reduce 182 to:
% 46.88/17.54 | (4) ~ (all_0_11_11 = sz00)
% 46.88/17.54 |
% 46.88/17.54 | Instantiating formula (59) with xt, all_17_0_23, all_0_11_11 and discharging atoms aDimensionOf0(xt) = all_17_0_23, aDimensionOf0(xt) = all_0_11_11, yields:
% 46.88/17.54 | (214) all_17_0_23 = all_0_11_11
% 46.88/17.54 |
% 46.88/17.54 +-Applying beta-rule and splitting (200), into two cases.
% 46.88/17.54 |-Branch one:
% 46.88/17.54 | (215) all_17_0_23 = sz00
% 46.88/17.54 |
% 46.88/17.54 | Combining equations (215,214) yields a new equation:
% 46.88/17.54 | (133) all_0_11_11 = sz00
% 46.88/17.54 |
% 46.88/17.54 | Equations (133) can reduce 4 to:
% 46.88/17.54 | (134) $false
% 46.88/17.54 |
% 46.88/17.54 |-The branch is then unsatisfiable
% 46.88/17.54 |-Branch two:
% 46.88/17.54 | (218) ~ (all_17_0_23 = sz00)
% 46.88/17.54 | (219) ~ (all_17_0_23 = all_17_1_24) & aDimensionOf0(xs) = all_17_1_24
% 46.88/17.54 |
% 46.88/17.54 | Applying alpha-rule on (219) yields:
% 46.88/17.54 | (220) ~ (all_17_0_23 = all_17_1_24)
% 46.88/17.54 | (221) aDimensionOf0(xs) = all_17_1_24
% 46.88/17.54 |
% 46.88/17.54 | Equations (214) can reduce 220 to:
% 46.88/17.54 | (222) ~ (all_17_1_24 = all_0_11_11)
% 46.88/17.54 |
% 46.88/17.54 | Simplifying 222 yields:
% 46.88/17.54 | (223) ~ (all_17_1_24 = all_0_11_11)
% 46.88/17.54 |
% 46.88/17.54 | Instantiating formula (59) with xs, all_17_1_24, all_0_11_11 and discharging atoms aDimensionOf0(xs) = all_17_1_24, aDimensionOf0(xs) = all_0_11_11, yields:
% 46.88/17.54 | (224) all_17_1_24 = all_0_11_11
% 46.88/17.54 |
% 46.88/17.54 | Equations (224) can reduce 223 to:
% 46.88/17.54 | (134) $false
% 46.88/17.54 |
% 46.88/17.54 |-The branch is then unsatisfiable
% 46.88/17.54 % SZS output end Proof for theBenchmark
% 46.88/17.54
% 46.88/17.54 16947ms
%------------------------------------------------------------------------------