TSTP Solution File: RNG083+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : RNG083+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n024.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 20:25:18 EDT 2022
% Result : Theorem 21.87s 6.44s
% Output : Proof 71.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : RNG083+1 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon May 30 22:27:36 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.56/0.60 ____ _
% 0.56/0.60 ___ / __ \_____(_)___ ________ __________
% 0.56/0.60 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.56/0.60 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.56/0.60 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.56/0.60
% 0.56/0.60 A Theorem Prover for First-Order Logic
% 0.56/0.60 (ePrincess v.1.0)
% 0.56/0.60
% 0.56/0.60 (c) Philipp Rümmer, 2009-2015
% 0.56/0.60 (c) Peter Backeman, 2014-2015
% 0.56/0.60 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.56/0.60 Free software under GNU Lesser General Public License (LGPL).
% 0.56/0.60 Bug reports to peter@backeman.se
% 0.56/0.60
% 0.56/0.60 For more information, visit http://user.uu.se/~petba168/breu/
% 0.56/0.60
% 0.56/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.79/0.66 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.61/0.96 Prover 0: Preprocessing ...
% 2.43/1.24 Prover 0: Constructing countermodel ...
% 19.77/5.95 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 19.77/5.99 Prover 1: Preprocessing ...
% 20.16/6.08 Prover 1: Constructing countermodel ...
% 20.55/6.15 Prover 1: gave up
% 20.55/6.15 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 20.55/6.17 Prover 2: Preprocessing ...
% 21.18/6.24 Prover 2: Warning: ignoring some quantifiers
% 21.18/6.24 Prover 2: Constructing countermodel ...
% 21.87/6.43 Prover 2: proved (283ms)
% 21.87/6.44 Prover 0: stopped
% 21.87/6.44
% 21.87/6.44 No countermodel exists, formula is valid
% 21.87/6.44 % SZS status Theorem for theBenchmark
% 21.87/6.44
% 21.87/6.44 Generating proof ... Warning: ignoring some quantifiers
% 70.07/39.78 found it (size 822)
% 70.07/39.78
% 70.07/39.78 % SZS output start Proof for theBenchmark
% 70.07/39.78 Assumed formulas after preprocessing and simplification:
% 70.07/39.78 | (0) ? [v0] : ? [v1] : ? [v2] : (smndt0(sz10) = v0 & aElement0(xx) = 0 & aElement0(sz10) = 0 & aElement0(sz00) = 0 & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (sdtasdt0(v5, v3) = v7) | ~ (sdtasdt0(v4, v3) = v6) | ~ (sdtpldt0(v6, v7) = v8) | ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ((v14 = v8 & v13 = v10 & sdtasdt0(v9, v3) = v8 & sdtasdt0(v3, v9) = v10 & sdtasdt0(v3, v5) = v12 & sdtasdt0(v3, v4) = v11 & sdtpldt0(v11, v12) = v10 & sdtpldt0(v4, v5) = v9) | ( ~ (v9 = 0) & aElement0(v5) = v9) | ( ~ (v9 = 0) & aElement0(v4) = v9) | ( ~ (v9 = 0) & aElement0(v3) = v9))) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (sdtasdt0(v3, v5) = v7) | ~ (sdtasdt0(v3, v4) = v6) | ~ (sdtpldt0(v6, v7) = v8) | ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ((v14 = v11 & v10 = v8 & sdtasdt0(v9, v3) = v11 & sdtasdt0(v5, v3) = v13 & sdtasdt0(v4, v3) = v12 & sdtasdt0(v3, v9) = v8 & sdtpldt0(v12, v13) = v11 & sdtpldt0(v4, v5) = v9) | ( ~ (v9 = 0) & aElement0(v5) = v9) | ( ~ (v9 = 0) & aElement0(v4) = v9) | ( ~ (v9 = 0) & aElement0(v3) = v9))) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (sdtasdt0(v6, v5) = v7) | ~ (sdtasdt0(v3, v4) = v6) | ? [v8] : ? [v9] : ((v9 = v7 & sdtasdt0(v4, v5) = v8 & sdtasdt0(v3, v8) = v7) | ( ~ (v8 = 0) & aElement0(v5) = v8) | ( ~ (v8 = 0) & aElement0(v4) = v8) | ( ~ (v8 = 0) & aElement0(v3) = v8))) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (sdtasdt0(v6, v3) = v7) | ~ (sdtpldt0(v4, v5) = v6) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ((v14 = v7 & v11 = v8 & sdtasdt0(v5, v3) = v13 & sdtasdt0(v4, v3) = v12 & sdtasdt0(v3, v6) = v8 & sdtasdt0(v3, v5) = v10 & sdtasdt0(v3, v4) = v9 & sdtpldt0(v12, v13) = v7 & sdtpldt0(v9, v10) = v8) | ( ~ (v8 = 0) & aElement0(v5) = v8) | ( ~ (v8 = 0) & aElement0(v4) = v8) | ( ~ (v8 = 0) & aElement0(v3) = v8))) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (sdtasdt0(v4, v5) = v6) | ~ (sdtasdt0(v3, v6) = v7) | ? [v8] : ? [v9] : ((v9 = v7 & sdtasdt0(v8, v5) = v7 & sdtasdt0(v3, v4) = v8) | ( ~ (v8 = 0) & aElement0(v5) = v8) | ( ~ (v8 = 0) & aElement0(v4) = v8) | ( ~ (v8 = 0) & aElement0(v3) = v8))) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (sdtasdt0(v3, v6) = v7) | ~ (sdtpldt0(v4, v5) = v6) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ((v14 = v11 & v10 = v7 & sdtasdt0(v6, v3) = v11 & sdtasdt0(v5, v3) = v13 & sdtasdt0(v4, v3) = v12 & sdtasdt0(v3, v5) = v9 & sdtasdt0(v3, v4) = v8 & sdtpldt0(v12, v13) = v11 & sdtpldt0(v8, v9) = v7) | ( ~ (v8 = 0) & aElement0(v5) = v8) | ( ~ (v8 = 0) & aElement0(v4) = v8) | ( ~ (v8 = 0) & aElement0(v3) = v8))) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (sdtpldt0(v6, v5) = v7) | ~ (sdtpldt0(v3, v4) = v6) | ? [v8] : ? [v9] : ((v9 = v7 & sdtpldt0(v4, v5) = v8 & sdtpldt0(v3, v8) = v7) | ( ~ (v8 = 0) & aElement0(v5) = v8) | ( ~ (v8 = 0) & aElement0(v4) = v8) | ( ~ (v8 = 0) & aElement0(v3) = v8))) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (sdtpldt0(v4, v5) = v6) | ~ (sdtpldt0(v3, v6) = v7) | ? [v8] : ? [v9] : ((v9 = v7 & sdtpldt0(v8, v5) = v7 & sdtpldt0(v3, v4) = v8) | ( ~ (v8 = 0) & aElement0(v5) = v8) | ( ~ (v8 = 0) & aElement0(v4) = v8) | ( ~ (v8 = 0) & aElement0(v3) = v8))) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v4 = v3 | ~ (sdtasdt0(v6, v5) = v4) | ~ (sdtasdt0(v6, v5) = v3)) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v4 = v3 | ~ (sdtpldt0(v6, v5) = v4) | ~ (sdtpldt0(v6, v5) = v3)) & ! [v3] : ! [v4] : ! [v5] : (v4 = v3 | ~ (smndt0(v5) = v4) | ~ (smndt0(v5) = v3)) & ! [v3] : ! [v4] : ! [v5] : (v4 = v3 | ~ (aElement0(v5) = v4) | ~ (aElement0(v5) = v3)) & ! [v3] : ! [v4] : ! [v5] : ( ~ (sdtasdt0(v4, v3) = v5) | ? [v6] : ((v6 = v5 & sdtasdt0(v3, v4) = v5) | ( ~ (v6 = 0) & aElement0(v4) = v6) | ( ~ (v6 = 0) & aElement0(v3) = v6))) & ! [v3] : ! [v4] : ! [v5] : ( ~ (sdtasdt0(v3, v4) = v5) | ? [v6] : ((v6 = v5 & sdtasdt0(v4, v3) = v5) | ( ~ (v6 = 0) & aElement0(v4) = v6) | ( ~ (v6 = 0) & aElement0(v3) = v6))) & ! [v3] : ! [v4] : ! [v5] : ( ~ (sdtasdt0(v3, v4) = v5) | ? [v6] : ((v6 = 0 & aElement0(v5) = 0) | ( ~ (v6 = 0) & aElement0(v4) = v6) | ( ~ (v6 = 0) & aElement0(v3) = v6))) & ! [v3] : ! [v4] : ! [v5] : ( ~ (sdtpldt0(v4, v3) = v5) | ? [v6] : ((v6 = v5 & sdtpldt0(v3, v4) = v5) | ( ~ (v6 = 0) & aElement0(v4) = v6) | ( ~ (v6 = 0) & aElement0(v3) = v6))) & ! [v3] : ! [v4] : ! [v5] : ( ~ (sdtpldt0(v3, v4) = v5) | ? [v6] : ((v6 = v5 & sdtpldt0(v4, v3) = v5) | ( ~ (v6 = 0) & aElement0(v4) = v6) | ( ~ (v6 = 0) & aElement0(v3) = v6))) & ! [v3] : ! [v4] : ! [v5] : ( ~ (sdtpldt0(v3, v4) = v5) | ? [v6] : ((v6 = 0 & aElement0(v5) = 0) | ( ~ (v6 = 0) & aElement0(v4) = v6) | ( ~ (v6 = 0) & aElement0(v3) = v6))) & ! [v3] : ! [v4] : ( ~ (sdtasdt0(v3, v0) = v4) | ? [v5] : ? [v6] : ((v6 = v4 & v5 = v4 & sdtasdt0(v0, v3) = v4 & smndt0(v3) = v4) | ( ~ (v5 = 0) & aElement0(v3) = v5))) & ! [v3] : ! [v4] : ( ~ (sdtasdt0(v3, sz10) = v4) | ? [v5] : ((v5 = v3 & v4 = v3 & sdtasdt0(sz10, v3) = v3) | ( ~ (v5 = 0) & aElement0(v3) = v5))) & ! [v3] : ! [v4] : ( ~ (sdtasdt0(v0, v3) = v4) | ? [v5] : ? [v6] : ((v6 = v4 & v5 = v4 & sdtasdt0(v3, v0) = v4 & smndt0(v3) = v4) | ( ~ (v5 = 0) & aElement0(v3) = v5))) & ! [v3] : ! [v4] : ( ~ (sdtasdt0(sz10, v3) = v4) | ? [v5] : ((v5 = v3 & v4 = v3 & sdtasdt0(v3, sz10) = v3) | ( ~ (v5 = 0) & aElement0(v3) = v5))) & ! [v3] : ! [v4] : ( ~ (sdtpldt0(v3, sz00) = v4) | ? [v5] : ((v5 = v3 & v4 = v3 & sdtpldt0(sz00, v3) = v3) | ( ~ (v5 = 0) & aElement0(v3) = v5))) & ! [v3] : ! [v4] : ( ~ (sdtpldt0(sz00, v3) = v4) | ? [v5] : ((v5 = v3 & v4 = v3 & sdtpldt0(v3, sz00) = v3) | ( ~ (v5 = 0) & aElement0(v3) = v5))) & ! [v3] : ! [v4] : ( ~ (smndt0(v3) = v4) | ? [v5] : ? [v6] : ((v6 = v4 & v5 = v4 & sdtasdt0(v3, v0) = v4 & sdtasdt0(v0, v3) = v4) | ( ~ (v5 = 0) & aElement0(v3) = v5))) & ! [v3] : ! [v4] : ( ~ (smndt0(v3) = v4) | ? [v5] : ? [v6] : ((v6 = sz00 & v5 = sz00 & sdtpldt0(v4, v3) = sz00 & sdtpldt0(v3, v4) = sz00) | ( ~ (v5 = 0) & aElement0(v3) = v5))) & ! [v3] : ! [v4] : ( ~ (smndt0(v3) = v4) | ? [v5] : ((v5 = 0 & aElement0(v4) = 0) | ( ~ (v5 = 0) & aElement0(v3) = v5))) & ! [v3] : ( ~ (aElement0(v3) = 0) | ? [v4] : (sdtasdt0(v3, v0) = v4 & sdtasdt0(v0, v3) = v4 & smndt0(v3) = v4)) & ! [v3] : ( ~ (aElement0(v3) = 0) | ? [v4] : (sdtpldt0(v4, v3) = sz00 & sdtpldt0(v3, v4) = sz00 & smndt0(v3) = v4)) & ! [v3] : ( ~ (aElement0(v3) = 0) | ? [v4] : (smndt0(v3) = v4 & aElement0(v4) = 0)) & ! [v3] : ( ~ (aElement0(v3) = 0) | (sdtasdt0(v3, sz10) = v3 & sdtasdt0(sz10, v3) = v3)) & ! [v3] : ( ~ (aElement0(v3) = 0) | (sdtpldt0(v3, sz00) = v3 & sdtpldt0(sz00, v3) = v3)) & ? [v3] : ? [v4] : ? [v5] : sdtasdt0(v4, v3) = v5 & ? [v3] : ? [v4] : ? [v5] : sdtpldt0(v4, v3) = v5 & ? [v3] : ? [v4] : smndt0(v3) = v4 & ? [v3] : ? [v4] : aElement0(v3) = v4 & (( ~ (v2 = sz00) & sdtasdt0(sz00, xx) = v2) | ( ~ (v1 = sz00) & sdtasdt0(xx, sz00) = v1)))
% 70.35/39.84 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2 yields:
% 70.35/39.84 | (1) smndt0(sz10) = all_0_2_2 & aElement0(xx) = 0 & aElement0(sz10) = 0 & aElement0(sz00) = 0 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (sdtasdt0(v2, v0) = v4) | ~ (sdtasdt0(v1, v0) = v3) | ~ (sdtpldt0(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v11 = v5 & v10 = v7 & sdtasdt0(v6, v0) = v5 & sdtasdt0(v0, v6) = v7 & sdtasdt0(v0, v2) = v9 & sdtasdt0(v0, v1) = v8 & sdtpldt0(v8, v9) = v7 & sdtpldt0(v1, v2) = v6) | ( ~ (v6 = 0) & aElement0(v2) = v6) | ( ~ (v6 = 0) & aElement0(v1) = v6) | ( ~ (v6 = 0) & aElement0(v0) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (sdtasdt0(v0, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ (sdtpldt0(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v11 = v8 & v7 = v5 & sdtasdt0(v6, v0) = v8 & sdtasdt0(v2, v0) = v10 & sdtasdt0(v1, v0) = v9 & sdtasdt0(v0, v6) = v5 & sdtpldt0(v9, v10) = v8 & sdtpldt0(v1, v2) = v6) | ( ~ (v6 = 0) & aElement0(v2) = v6) | ( ~ (v6 = 0) & aElement0(v1) = v6) | ( ~ (v6 = 0) & aElement0(v0) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtasdt0(v3, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ? [v5] : ? [v6] : ((v6 = v4 & sdtasdt0(v1, v2) = v5 & sdtasdt0(v0, v5) = v4) | ( ~ (v5 = 0) & aElement0(v2) = v5) | ( ~ (v5 = 0) & aElement0(v1) = v5) | ( ~ (v5 = 0) & aElement0(v0) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtasdt0(v3, v0) = v4) | ~ (sdtpldt0(v1, v2) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v11 = v4 & v8 = v5 & sdtasdt0(v2, v0) = v10 & sdtasdt0(v1, v0) = v9 & sdtasdt0(v0, v3) = v5 & sdtasdt0(v0, v2) = v7 & sdtasdt0(v0, v1) = v6 & sdtpldt0(v9, v10) = v4 & sdtpldt0(v6, v7) = v5) | ( ~ (v5 = 0) & aElement0(v2) = v5) | ( ~ (v5 = 0) & aElement0(v1) = v5) | ( ~ (v5 = 0) & aElement0(v0) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtasdt0(v1, v2) = v3) | ~ (sdtasdt0(v0, v3) = v4) | ? [v5] : ? [v6] : ((v6 = v4 & sdtasdt0(v5, v2) = v4 & sdtasdt0(v0, v1) = v5) | ( ~ (v5 = 0) & aElement0(v2) = v5) | ( ~ (v5 = 0) & aElement0(v1) = v5) | ( ~ (v5 = 0) & aElement0(v0) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtasdt0(v0, v3) = v4) | ~ (sdtpldt0(v1, v2) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v11 = v8 & v7 = v4 & sdtasdt0(v3, v0) = v8 & sdtasdt0(v2, v0) = v10 & sdtasdt0(v1, v0) = v9 & sdtasdt0(v0, v2) = v6 & sdtasdt0(v0, v1) = v5 & sdtpldt0(v9, v10) = v8 & sdtpldt0(v5, v6) = v4) | ( ~ (v5 = 0) & aElement0(v2) = v5) | ( ~ (v5 = 0) & aElement0(v1) = v5) | ( ~ (v5 = 0) & aElement0(v0) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ? [v5] : ? [v6] : ((v6 = v4 & sdtpldt0(v1, v2) = v5 & sdtpldt0(v0, v5) = v4) | ( ~ (v5 = 0) & aElement0(v2) = v5) | ( ~ (v5 = 0) & aElement0(v1) = v5) | ( ~ (v5 = 0) & aElement0(v0) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt0(v1, v2) = v3) | ~ (sdtpldt0(v0, v3) = v4) | ? [v5] : ? [v6] : ((v6 = v4 & sdtpldt0(v5, v2) = v4 & sdtpldt0(v0, v1) = v5) | ( ~ (v5 = 0) & aElement0(v2) = v5) | ( ~ (v5 = 0) & aElement0(v1) = v5) | ( ~ (v5 = 0) & aElement0(v0) = v5))) & ! [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] : (v1 = v0 | ~ (smndt0(v2) = v1) | ~ (smndt0(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aElement0(v2) = v1) | ~ (aElement0(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasdt0(v1, v0) = v2) | ? [v3] : ((v3 = v2 & sdtasdt0(v0, v1) = v2) | ( ~ (v3 = 0) & aElement0(v1) = v3) | ( ~ (v3 = 0) & aElement0(v0) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasdt0(v0, v1) = v2) | ? [v3] : ((v3 = v2 & sdtasdt0(v1, v0) = v2) | ( ~ (v3 = 0) & aElement0(v1) = v3) | ( ~ (v3 = 0) & aElement0(v0) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasdt0(v0, v1) = v2) | ? [v3] : ((v3 = 0 & aElement0(v2) = 0) | ( ~ (v3 = 0) & aElement0(v1) = v3) | ( ~ (v3 = 0) & aElement0(v0) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v1, v0) = v2) | ? [v3] : ((v3 = v2 & sdtpldt0(v0, v1) = v2) | ( ~ (v3 = 0) & aElement0(v1) = v3) | ( ~ (v3 = 0) & aElement0(v0) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) | ? [v3] : ((v3 = v2 & sdtpldt0(v1, v0) = v2) | ( ~ (v3 = 0) & aElement0(v1) = v3) | ( ~ (v3 = 0) & aElement0(v0) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) | ? [v3] : ((v3 = 0 & aElement0(v2) = 0) | ( ~ (v3 = 0) & aElement0(v1) = v3) | ( ~ (v3 = 0) & aElement0(v0) = v3))) & ! [v0] : ! [v1] : ( ~ (sdtasdt0(v0, all_0_2_2) = v1) | ? [v2] : ? [v3] : ((v3 = v1 & v2 = v1 & sdtasdt0(all_0_2_2, v0) = v1 & smndt0(v0) = v1) | ( ~ (v2 = 0) & aElement0(v0) = v2))) & ! [v0] : ! [v1] : ( ~ (sdtasdt0(v0, sz10) = v1) | ? [v2] : ((v2 = v0 & v1 = v0 & sdtasdt0(sz10, v0) = v0) | ( ~ (v2 = 0) & aElement0(v0) = v2))) & ! [v0] : ! [v1] : ( ~ (sdtasdt0(all_0_2_2, v0) = v1) | ? [v2] : ? [v3] : ((v3 = v1 & v2 = v1 & sdtasdt0(v0, all_0_2_2) = v1 & smndt0(v0) = v1) | ( ~ (v2 = 0) & aElement0(v0) = v2))) & ! [v0] : ! [v1] : ( ~ (sdtasdt0(sz10, v0) = v1) | ? [v2] : ((v2 = v0 & v1 = v0 & sdtasdt0(v0, sz10) = v0) | ( ~ (v2 = 0) & aElement0(v0) = v2))) & ! [v0] : ! [v1] : ( ~ (sdtpldt0(v0, sz00) = v1) | ? [v2] : ((v2 = v0 & v1 = v0 & sdtpldt0(sz00, v0) = v0) | ( ~ (v2 = 0) & aElement0(v0) = v2))) & ! [v0] : ! [v1] : ( ~ (sdtpldt0(sz00, v0) = v1) | ? [v2] : ((v2 = v0 & v1 = v0 & sdtpldt0(v0, sz00) = v0) | ( ~ (v2 = 0) & aElement0(v0) = v2))) & ! [v0] : ! [v1] : ( ~ (smndt0(v0) = v1) | ? [v2] : ? [v3] : ((v3 = v1 & v2 = v1 & sdtasdt0(v0, all_0_2_2) = v1 & sdtasdt0(all_0_2_2, v0) = v1) | ( ~ (v2 = 0) & aElement0(v0) = v2))) & ! [v0] : ! [v1] : ( ~ (smndt0(v0) = v1) | ? [v2] : ? [v3] : ((v3 = sz00 & v2 = sz00 & sdtpldt0(v1, v0) = sz00 & sdtpldt0(v0, v1) = sz00) | ( ~ (v2 = 0) & aElement0(v0) = v2))) & ! [v0] : ! [v1] : ( ~ (smndt0(v0) = v1) | ? [v2] : ((v2 = 0 & aElement0(v1) = 0) | ( ~ (v2 = 0) & aElement0(v0) = v2))) & ! [v0] : ( ~ (aElement0(v0) = 0) | ? [v1] : (sdtasdt0(v0, all_0_2_2) = v1 & sdtasdt0(all_0_2_2, v0) = v1 & smndt0(v0) = v1)) & ! [v0] : ( ~ (aElement0(v0) = 0) | ? [v1] : (sdtpldt0(v1, v0) = sz00 & sdtpldt0(v0, v1) = sz00 & smndt0(v0) = v1)) & ! [v0] : ( ~ (aElement0(v0) = 0) | ? [v1] : (smndt0(v0) = v1 & aElement0(v1) = 0)) & ! [v0] : ( ~ (aElement0(v0) = 0) | (sdtasdt0(v0, sz10) = v0 & sdtasdt0(sz10, v0) = v0)) & ! [v0] : ( ~ (aElement0(v0) = 0) | (sdtpldt0(v0, sz00) = v0 & sdtpldt0(sz00, v0) = v0)) & ? [v0] : ? [v1] : ? [v2] : sdtasdt0(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : sdtpldt0(v1, v0) = v2 & ? [v0] : ? [v1] : smndt0(v0) = v1 & ? [v0] : ? [v1] : aElement0(v0) = v1 & (( ~ (all_0_0_0 = sz00) & sdtasdt0(sz00, xx) = all_0_0_0) | ( ~ (all_0_1_1 = sz00) & sdtasdt0(xx, sz00) = all_0_1_1))
% 70.35/39.86 |
% 70.35/39.86 | Applying alpha-rule on (1) yields:
% 70.35/39.86 | (2) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasdt0(v0, v1) = v2) | ? [v3] : ((v3 = 0 & aElement0(v2) = 0) | ( ~ (v3 = 0) & aElement0(v1) = v3) | ( ~ (v3 = 0) & aElement0(v0) = v3)))
% 70.35/39.86 | (3) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtasdt0(v3, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ? [v5] : ? [v6] : ((v6 = v4 & sdtasdt0(v1, v2) = v5 & sdtasdt0(v0, v5) = v4) | ( ~ (v5 = 0) & aElement0(v2) = v5) | ( ~ (v5 = 0) & aElement0(v1) = v5) | ( ~ (v5 = 0) & aElement0(v0) = v5)))
% 70.35/39.86 | (4) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (smndt0(v2) = v1) | ~ (smndt0(v2) = v0))
% 70.35/39.86 | (5) ! [v0] : ( ~ (aElement0(v0) = 0) | ? [v1] : (sdtpldt0(v1, v0) = sz00 & sdtpldt0(v0, v1) = sz00 & smndt0(v0) = v1))
% 70.35/39.86 | (6) ! [v0] : ( ~ (aElement0(v0) = 0) | (sdtasdt0(v0, sz10) = v0 & sdtasdt0(sz10, v0) = v0))
% 70.35/39.86 | (7) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtasdt0(v3, v2) = v1) | ~ (sdtasdt0(v3, v2) = v0))
% 70.35/39.86 | (8) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtasdt0(v3, v0) = v4) | ~ (sdtpldt0(v1, v2) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v11 = v4 & v8 = v5 & sdtasdt0(v2, v0) = v10 & sdtasdt0(v1, v0) = v9 & sdtasdt0(v0, v3) = v5 & sdtasdt0(v0, v2) = v7 & sdtasdt0(v0, v1) = v6 & sdtpldt0(v9, v10) = v4 & sdtpldt0(v6, v7) = v5) | ( ~ (v5 = 0) & aElement0(v2) = v5) | ( ~ (v5 = 0) & aElement0(v1) = v5) | ( ~ (v5 = 0) & aElement0(v0) = v5)))
% 70.35/39.86 | (9) aElement0(sz00) = 0
% 70.35/39.86 | (10) ! [v0] : ! [v1] : ( ~ (sdtasdt0(v0, all_0_2_2) = v1) | ? [v2] : ? [v3] : ((v3 = v1 & v2 = v1 & sdtasdt0(all_0_2_2, v0) = v1 & smndt0(v0) = v1) | ( ~ (v2 = 0) & aElement0(v0) = v2)))
% 70.35/39.86 | (11) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtasdt0(v1, v2) = v3) | ~ (sdtasdt0(v0, v3) = v4) | ? [v5] : ? [v6] : ((v6 = v4 & sdtasdt0(v5, v2) = v4 & sdtasdt0(v0, v1) = v5) | ( ~ (v5 = 0) & aElement0(v2) = v5) | ( ~ (v5 = 0) & aElement0(v1) = v5) | ( ~ (v5 = 0) & aElement0(v0) = v5)))
% 70.35/39.87 | (12) ( ~ (all_0_0_0 = sz00) & sdtasdt0(sz00, xx) = all_0_0_0) | ( ~ (all_0_1_1 = sz00) & sdtasdt0(xx, sz00) = all_0_1_1)
% 70.35/39.87 | (13) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasdt0(v1, v0) = v2) | ? [v3] : ((v3 = v2 & sdtasdt0(v0, v1) = v2) | ( ~ (v3 = 0) & aElement0(v1) = v3) | ( ~ (v3 = 0) & aElement0(v0) = v3)))
% 70.35/39.87 | (14) ! [v0] : ! [v1] : ( ~ (sdtasdt0(all_0_2_2, v0) = v1) | ? [v2] : ? [v3] : ((v3 = v1 & v2 = v1 & sdtasdt0(v0, all_0_2_2) = v1 & smndt0(v0) = v1) | ( ~ (v2 = 0) & aElement0(v0) = v2)))
% 70.35/39.87 | (15) ! [v0] : ( ~ (aElement0(v0) = 0) | ? [v1] : (sdtasdt0(v0, all_0_2_2) = v1 & sdtasdt0(all_0_2_2, v0) = v1 & smndt0(v0) = v1))
% 70.35/39.87 | (16) ? [v0] : ? [v1] : ? [v2] : sdtasdt0(v1, v0) = v2
% 70.35/39.87 | (17) ! [v0] : ! [v1] : ( ~ (smndt0(v0) = v1) | ? [v2] : ((v2 = 0 & aElement0(v1) = 0) | ( ~ (v2 = 0) & aElement0(v0) = v2)))
% 70.35/39.87 | (18) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtasdt0(v0, v3) = v4) | ~ (sdtpldt0(v1, v2) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v11 = v8 & v7 = v4 & sdtasdt0(v3, v0) = v8 & sdtasdt0(v2, v0) = v10 & sdtasdt0(v1, v0) = v9 & sdtasdt0(v0, v2) = v6 & sdtasdt0(v0, v1) = v5 & sdtpldt0(v9, v10) = v8 & sdtpldt0(v5, v6) = v4) | ( ~ (v5 = 0) & aElement0(v2) = v5) | ( ~ (v5 = 0) & aElement0(v1) = v5) | ( ~ (v5 = 0) & aElement0(v0) = v5)))
% 70.35/39.87 | (19) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt0(v1, v2) = v3) | ~ (sdtpldt0(v0, v3) = v4) | ? [v5] : ? [v6] : ((v6 = v4 & sdtpldt0(v5, v2) = v4 & sdtpldt0(v0, v1) = v5) | ( ~ (v5 = 0) & aElement0(v2) = v5) | ( ~ (v5 = 0) & aElement0(v1) = v5) | ( ~ (v5 = 0) & aElement0(v0) = v5)))
% 70.35/39.87 | (20) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aElement0(v2) = v1) | ~ (aElement0(v2) = v0))
% 70.35/39.87 | (21) smndt0(sz10) = all_0_2_2
% 70.35/39.87 | (22) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) | ? [v3] : ((v3 = 0 & aElement0(v2) = 0) | ( ~ (v3 = 0) & aElement0(v1) = v3) | ( ~ (v3 = 0) & aElement0(v0) = v3)))
% 70.35/39.87 | (23) ! [v0] : ! [v1] : ( ~ (smndt0(v0) = v1) | ? [v2] : ? [v3] : ((v3 = v1 & v2 = v1 & sdtasdt0(v0, all_0_2_2) = v1 & sdtasdt0(all_0_2_2, v0) = v1) | ( ~ (v2 = 0) & aElement0(v0) = v2)))
% 70.35/39.87 | (24) ? [v0] : ? [v1] : smndt0(v0) = v1
% 70.35/39.87 | (25) aElement0(xx) = 0
% 70.35/39.87 | (26) ! [v0] : ! [v1] : ( ~ (sdtasdt0(v0, sz10) = v1) | ? [v2] : ((v2 = v0 & v1 = v0 & sdtasdt0(sz10, v0) = v0) | ( ~ (v2 = 0) & aElement0(v0) = v2)))
% 70.35/39.87 | (27) ! [v0] : ! [v1] : ( ~ (sdtpldt0(sz00, v0) = v1) | ? [v2] : ((v2 = v0 & v1 = v0 & sdtpldt0(v0, sz00) = v0) | ( ~ (v2 = 0) & aElement0(v0) = v2)))
% 70.35/39.87 | (28) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ? [v5] : ? [v6] : ((v6 = v4 & sdtpldt0(v1, v2) = v5 & sdtpldt0(v0, v5) = v4) | ( ~ (v5 = 0) & aElement0(v2) = v5) | ( ~ (v5 = 0) & aElement0(v1) = v5) | ( ~ (v5 = 0) & aElement0(v0) = v5)))
% 70.35/39.88 | (29) ! [v0] : ( ~ (aElement0(v0) = 0) | ? [v1] : (smndt0(v0) = v1 & aElement0(v1) = 0))
% 70.35/39.88 | (30) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (sdtasdt0(v2, v0) = v4) | ~ (sdtasdt0(v1, v0) = v3) | ~ (sdtpldt0(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v11 = v5 & v10 = v7 & sdtasdt0(v6, v0) = v5 & sdtasdt0(v0, v6) = v7 & sdtasdt0(v0, v2) = v9 & sdtasdt0(v0, v1) = v8 & sdtpldt0(v8, v9) = v7 & sdtpldt0(v1, v2) = v6) | ( ~ (v6 = 0) & aElement0(v2) = v6) | ( ~ (v6 = 0) & aElement0(v1) = v6) | ( ~ (v6 = 0) & aElement0(v0) = v6)))
% 70.35/39.88 | (31) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0))
% 70.35/39.88 | (32) ! [v0] : ( ~ (aElement0(v0) = 0) | (sdtpldt0(v0, sz00) = v0 & sdtpldt0(sz00, v0) = v0))
% 70.35/39.88 | (33) ? [v0] : ? [v1] : aElement0(v0) = v1
% 70.35/39.88 | (34) aElement0(sz10) = 0
% 70.35/39.88 | (35) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v1, v0) = v2) | ? [v3] : ((v3 = v2 & sdtpldt0(v0, v1) = v2) | ( ~ (v3 = 0) & aElement0(v1) = v3) | ( ~ (v3 = 0) & aElement0(v0) = v3)))
% 70.35/39.88 | (36) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) | ? [v3] : ((v3 = v2 & sdtpldt0(v1, v0) = v2) | ( ~ (v3 = 0) & aElement0(v1) = v3) | ( ~ (v3 = 0) & aElement0(v0) = v3)))
% 70.35/39.88 | (37) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasdt0(v0, v1) = v2) | ? [v3] : ((v3 = v2 & sdtasdt0(v1, v0) = v2) | ( ~ (v3 = 0) & aElement0(v1) = v3) | ( ~ (v3 = 0) & aElement0(v0) = v3)))
% 70.35/39.88 | (38) ! [v0] : ! [v1] : ( ~ (sdtasdt0(sz10, v0) = v1) | ? [v2] : ((v2 = v0 & v1 = v0 & sdtasdt0(v0, sz10) = v0) | ( ~ (v2 = 0) & aElement0(v0) = v2)))
% 70.35/39.88 | (39) ! [v0] : ! [v1] : ( ~ (sdtpldt0(v0, sz00) = v1) | ? [v2] : ((v2 = v0 & v1 = v0 & sdtpldt0(sz00, v0) = v0) | ( ~ (v2 = 0) & aElement0(v0) = v2)))
% 70.35/39.88 | (40) ! [v0] : ! [v1] : ( ~ (smndt0(v0) = v1) | ? [v2] : ? [v3] : ((v3 = sz00 & v2 = sz00 & sdtpldt0(v1, v0) = sz00 & sdtpldt0(v0, v1) = sz00) | ( ~ (v2 = 0) & aElement0(v0) = v2)))
% 70.35/39.88 | (41) ? [v0] : ? [v1] : ? [v2] : sdtpldt0(v1, v0) = v2
% 70.35/39.88 | (42) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (sdtasdt0(v0, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ (sdtpldt0(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v11 = v8 & v7 = v5 & sdtasdt0(v6, v0) = v8 & sdtasdt0(v2, v0) = v10 & sdtasdt0(v1, v0) = v9 & sdtasdt0(v0, v6) = v5 & sdtpldt0(v9, v10) = v8 & sdtpldt0(v1, v2) = v6) | ( ~ (v6 = 0) & aElement0(v2) = v6) | ( ~ (v6 = 0) & aElement0(v1) = v6) | ( ~ (v6 = 0) & aElement0(v0) = v6)))
% 70.35/39.88 |
% 70.35/39.88 | Instantiating formula (15) with xx and discharging atoms aElement0(xx) = 0, yields:
% 70.35/39.88 | (43) ? [v0] : (sdtasdt0(all_0_2_2, xx) = v0 & sdtasdt0(xx, all_0_2_2) = v0 & smndt0(xx) = v0)
% 70.35/39.88 |
% 70.35/39.89 | Instantiating formula (5) with xx and discharging atoms aElement0(xx) = 0, yields:
% 70.35/39.89 | (44) ? [v0] : (sdtpldt0(v0, xx) = sz00 & sdtpldt0(xx, v0) = sz00 & smndt0(xx) = v0)
% 70.35/39.89 |
% 70.35/39.89 | Instantiating formula (29) with xx and discharging atoms aElement0(xx) = 0, yields:
% 70.35/39.89 | (45) ? [v0] : (smndt0(xx) = v0 & aElement0(v0) = 0)
% 70.35/39.89 |
% 70.35/39.89 | Instantiating formula (6) with xx and discharging atoms aElement0(xx) = 0, yields:
% 70.35/39.89 | (46) sdtasdt0(xx, sz10) = xx & sdtasdt0(sz10, xx) = xx
% 70.35/39.89 |
% 70.35/39.89 | Applying alpha-rule on (46) yields:
% 70.35/39.89 | (47) sdtasdt0(xx, sz10) = xx
% 70.35/39.89 | (48) sdtasdt0(sz10, xx) = xx
% 70.35/39.89 |
% 70.35/39.89 | Instantiating formula (32) with xx and discharging atoms aElement0(xx) = 0, yields:
% 70.35/39.89 | (49) sdtpldt0(xx, sz00) = xx & sdtpldt0(sz00, xx) = xx
% 70.35/39.89 |
% 70.35/39.89 | Applying alpha-rule on (49) yields:
% 70.35/39.89 | (50) sdtpldt0(xx, sz00) = xx
% 70.35/39.89 | (51) sdtpldt0(sz00, xx) = xx
% 70.35/39.89 |
% 70.35/39.89 | Instantiating formula (15) with sz10 and discharging atoms aElement0(sz10) = 0, yields:
% 70.35/39.89 | (52) ? [v0] : (sdtasdt0(all_0_2_2, sz10) = v0 & sdtasdt0(sz10, all_0_2_2) = v0 & smndt0(sz10) = v0)
% 70.35/39.89 |
% 70.35/39.89 | Instantiating formula (5) with sz10 and discharging atoms aElement0(sz10) = 0, yields:
% 70.35/39.89 | (53) ? [v0] : (sdtpldt0(v0, sz10) = sz00 & sdtpldt0(sz10, v0) = sz00 & smndt0(sz10) = v0)
% 70.35/39.89 |
% 70.35/39.89 | Instantiating formula (29) with sz10 and discharging atoms aElement0(sz10) = 0, yields:
% 70.35/39.89 | (54) ? [v0] : (smndt0(sz10) = v0 & aElement0(v0) = 0)
% 70.35/39.89 |
% 70.35/39.89 | Instantiating formula (32) with sz10 and discharging atoms aElement0(sz10) = 0, yields:
% 70.35/39.89 | (55) sdtpldt0(sz10, sz00) = sz10 & sdtpldt0(sz00, sz10) = sz10
% 70.35/39.89 |
% 70.35/39.89 | Applying alpha-rule on (55) yields:
% 70.35/39.89 | (56) sdtpldt0(sz10, sz00) = sz10
% 70.35/39.89 | (57) sdtpldt0(sz00, sz10) = sz10
% 70.35/39.89 |
% 70.35/39.89 | Instantiating formula (15) with sz00 and discharging atoms aElement0(sz00) = 0, yields:
% 70.35/39.89 | (58) ? [v0] : (sdtasdt0(all_0_2_2, sz00) = v0 & sdtasdt0(sz00, all_0_2_2) = v0 & smndt0(sz00) = v0)
% 70.35/39.89 |
% 70.35/39.89 | Instantiating formula (5) with sz00 and discharging atoms aElement0(sz00) = 0, yields:
% 70.35/39.89 | (59) ? [v0] : (sdtpldt0(v0, sz00) = sz00 & sdtpldt0(sz00, v0) = sz00 & smndt0(sz00) = v0)
% 70.35/39.89 |
% 70.35/39.89 | Instantiating formula (29) with sz00 and discharging atoms aElement0(sz00) = 0, yields:
% 70.35/39.89 | (60) ? [v0] : (smndt0(sz00) = v0 & aElement0(v0) = 0)
% 70.35/39.89 |
% 70.35/39.89 | Instantiating formula (6) with sz00 and discharging atoms aElement0(sz00) = 0, yields:
% 70.35/39.89 | (61) sdtasdt0(sz10, sz00) = sz00 & sdtasdt0(sz00, sz10) = sz00
% 70.35/39.89 |
% 70.35/39.89 | Applying alpha-rule on (61) yields:
% 70.35/39.89 | (62) sdtasdt0(sz10, sz00) = sz00
% 70.35/39.89 | (63) sdtasdt0(sz00, sz10) = sz00
% 70.35/39.89 |
% 70.35/39.89 | Instantiating formula (32) with sz00 and discharging atoms aElement0(sz00) = 0, yields:
% 70.35/39.89 | (64) sdtpldt0(sz00, sz00) = sz00
% 70.35/39.89 |
% 70.35/39.89 | Instantiating (59) with all_17_0_13 yields:
% 70.35/39.89 | (65) sdtpldt0(all_17_0_13, sz00) = sz00 & sdtpldt0(sz00, all_17_0_13) = sz00 & smndt0(sz00) = all_17_0_13
% 70.35/39.89 |
% 70.35/39.89 | Applying alpha-rule on (65) yields:
% 70.35/39.89 | (66) sdtpldt0(all_17_0_13, sz00) = sz00
% 70.35/39.89 | (67) sdtpldt0(sz00, all_17_0_13) = sz00
% 70.35/39.89 | (68) smndt0(sz00) = all_17_0_13
% 70.35/39.89 |
% 70.35/39.89 | Instantiating (58) with all_19_0_14 yields:
% 70.35/39.89 | (69) sdtasdt0(all_0_2_2, sz00) = all_19_0_14 & sdtasdt0(sz00, all_0_2_2) = all_19_0_14 & smndt0(sz00) = all_19_0_14
% 70.35/39.89 |
% 70.35/39.89 | Applying alpha-rule on (69) yields:
% 70.35/39.89 | (70) sdtasdt0(all_0_2_2, sz00) = all_19_0_14
% 70.35/39.89 | (71) sdtasdt0(sz00, all_0_2_2) = all_19_0_14
% 70.35/39.89 | (72) smndt0(sz00) = all_19_0_14
% 70.35/39.89 |
% 70.35/39.89 | Instantiating (60) with all_21_0_15 yields:
% 70.35/39.89 | (73) smndt0(sz00) = all_21_0_15 & aElement0(all_21_0_15) = 0
% 70.35/39.89 |
% 70.35/39.89 | Applying alpha-rule on (73) yields:
% 70.35/39.89 | (74) smndt0(sz00) = all_21_0_15
% 70.35/39.89 | (75) aElement0(all_21_0_15) = 0
% 70.35/39.89 |
% 70.35/39.89 | Instantiating (44) with all_23_0_16 yields:
% 70.35/39.89 | (76) sdtpldt0(all_23_0_16, xx) = sz00 & sdtpldt0(xx, all_23_0_16) = sz00 & smndt0(xx) = all_23_0_16
% 70.35/39.89 |
% 70.35/39.89 | Applying alpha-rule on (76) yields:
% 70.35/39.89 | (77) sdtpldt0(all_23_0_16, xx) = sz00
% 70.35/39.89 | (78) sdtpldt0(xx, all_23_0_16) = sz00
% 70.35/39.89 | (79) smndt0(xx) = all_23_0_16
% 70.35/39.89 |
% 70.35/39.89 | Instantiating (54) with all_25_0_17 yields:
% 70.35/39.89 | (80) smndt0(sz10) = all_25_0_17 & aElement0(all_25_0_17) = 0
% 70.35/39.89 |
% 70.35/39.90 | Applying alpha-rule on (80) yields:
% 70.35/39.90 | (81) smndt0(sz10) = all_25_0_17
% 70.35/39.90 | (82) aElement0(all_25_0_17) = 0
% 70.35/39.90 |
% 70.35/39.90 | Instantiating (53) with all_27_0_18 yields:
% 70.35/39.90 | (83) sdtpldt0(all_27_0_18, sz10) = sz00 & sdtpldt0(sz10, all_27_0_18) = sz00 & smndt0(sz10) = all_27_0_18
% 70.35/39.90 |
% 70.35/39.90 | Applying alpha-rule on (83) yields:
% 70.35/39.90 | (84) sdtpldt0(all_27_0_18, sz10) = sz00
% 70.35/39.90 | (85) sdtpldt0(sz10, all_27_0_18) = sz00
% 70.35/39.90 | (86) smndt0(sz10) = all_27_0_18
% 70.35/39.90 |
% 70.35/39.90 | Instantiating (45) with all_29_0_19 yields:
% 70.35/39.90 | (87) smndt0(xx) = all_29_0_19 & aElement0(all_29_0_19) = 0
% 70.35/39.90 |
% 70.35/39.90 | Applying alpha-rule on (87) yields:
% 70.35/39.90 | (88) smndt0(xx) = all_29_0_19
% 70.35/39.90 | (89) aElement0(all_29_0_19) = 0
% 70.35/39.90 |
% 70.35/39.90 | Instantiating (43) with all_33_0_23 yields:
% 70.35/39.90 | (90) sdtasdt0(all_0_2_2, xx) = all_33_0_23 & sdtasdt0(xx, all_0_2_2) = all_33_0_23 & smndt0(xx) = all_33_0_23
% 70.35/39.90 |
% 70.35/39.90 | Applying alpha-rule on (90) yields:
% 70.35/39.90 | (91) sdtasdt0(all_0_2_2, xx) = all_33_0_23
% 70.35/39.90 | (92) sdtasdt0(xx, all_0_2_2) = all_33_0_23
% 70.35/39.90 | (93) smndt0(xx) = all_33_0_23
% 70.35/39.90 |
% 70.35/39.90 | Instantiating (52) with all_35_0_24 yields:
% 70.35/39.90 | (94) sdtasdt0(all_0_2_2, sz10) = all_35_0_24 & sdtasdt0(sz10, all_0_2_2) = all_35_0_24 & smndt0(sz10) = all_35_0_24
% 70.35/39.90 |
% 70.35/39.90 | Applying alpha-rule on (94) yields:
% 70.35/39.90 | (95) sdtasdt0(all_0_2_2, sz10) = all_35_0_24
% 70.35/39.90 | (96) sdtasdt0(sz10, all_0_2_2) = all_35_0_24
% 70.35/39.90 | (97) smndt0(sz10) = all_35_0_24
% 70.35/39.90 |
% 70.35/39.90 | Instantiating formula (4) with xx, all_29_0_19, all_33_0_23 and discharging atoms smndt0(xx) = all_33_0_23, smndt0(xx) = all_29_0_19, yields:
% 70.35/39.90 | (98) all_33_0_23 = all_29_0_19
% 70.35/39.90 |
% 70.35/39.90 | Instantiating formula (4) with xx, all_23_0_16, all_33_0_23 and discharging atoms smndt0(xx) = all_33_0_23, smndt0(xx) = all_23_0_16, yields:
% 70.35/39.90 | (99) all_33_0_23 = all_23_0_16
% 70.35/39.90 |
% 70.35/39.90 | Instantiating formula (4) with sz10, all_27_0_18, all_0_2_2 and discharging atoms smndt0(sz10) = all_27_0_18, smndt0(sz10) = all_0_2_2, yields:
% 70.35/39.90 | (100) all_27_0_18 = all_0_2_2
% 70.35/39.90 |
% 70.35/39.90 | Instantiating formula (4) with sz10, all_27_0_18, all_35_0_24 and discharging atoms smndt0(sz10) = all_35_0_24, smndt0(sz10) = all_27_0_18, yields:
% 70.35/39.90 | (101) all_35_0_24 = all_27_0_18
% 70.35/39.90 |
% 70.35/39.90 | Instantiating formula (4) with sz10, all_25_0_17, all_35_0_24 and discharging atoms smndt0(sz10) = all_35_0_24, smndt0(sz10) = all_25_0_17, yields:
% 70.35/39.90 | (102) all_35_0_24 = all_25_0_17
% 70.35/39.90 |
% 70.35/39.90 | Instantiating formula (4) with sz00, all_19_0_14, all_21_0_15 and discharging atoms smndt0(sz00) = all_21_0_15, smndt0(sz00) = all_19_0_14, yields:
% 70.35/39.90 | (103) all_21_0_15 = all_19_0_14
% 70.35/39.90 |
% 70.35/39.90 | Instantiating formula (4) with sz00, all_17_0_13, all_21_0_15 and discharging atoms smndt0(sz00) = all_21_0_15, smndt0(sz00) = all_17_0_13, yields:
% 70.35/39.90 | (104) all_21_0_15 = all_17_0_13
% 70.35/39.90 |
% 70.35/39.90 | Combining equations (101,102) yields a new equation:
% 70.35/39.90 | (105) all_27_0_18 = all_25_0_17
% 70.35/39.90 |
% 70.35/39.90 | Simplifying 105 yields:
% 70.35/39.90 | (106) all_27_0_18 = all_25_0_17
% 70.35/39.90 |
% 70.35/39.90 | Combining equations (99,98) yields a new equation:
% 70.35/39.90 | (107) all_29_0_19 = all_23_0_16
% 70.35/39.90 |
% 70.35/39.90 | Combining equations (100,106) yields a new equation:
% 70.35/39.90 | (108) all_25_0_17 = all_0_2_2
% 70.35/39.90 |
% 70.35/39.90 | Combining equations (104,103) yields a new equation:
% 70.35/39.90 | (109) all_19_0_14 = all_17_0_13
% 70.35/39.90 |
% 70.35/39.90 | Combining equations (109,103) yields a new equation:
% 70.35/39.90 | (104) all_21_0_15 = all_17_0_13
% 70.35/39.90 |
% 70.35/39.90 | Combining equations (108,106) yields a new equation:
% 70.35/39.90 | (100) all_27_0_18 = all_0_2_2
% 70.35/39.90 |
% 70.35/39.90 | Combining equations (107,98) yields a new equation:
% 70.35/39.90 | (99) all_33_0_23 = all_23_0_16
% 70.35/39.90 |
% 70.35/39.90 | Combining equations (108,102) yields a new equation:
% 70.35/39.90 | (113) all_35_0_24 = all_0_2_2
% 70.35/39.90 |
% 70.35/39.90 | From (99) and (91) follows:
% 70.35/39.90 | (114) sdtasdt0(all_0_2_2, xx) = all_23_0_16
% 70.35/39.90 |
% 70.35/39.90 | From (113) and (95) follows:
% 70.35/39.90 | (115) sdtasdt0(all_0_2_2, sz10) = all_0_2_2
% 70.35/39.90 |
% 70.35/39.90 | From (109) and (70) follows:
% 70.35/39.90 | (116) sdtasdt0(all_0_2_2, sz00) = all_17_0_13
% 70.35/39.90 |
% 70.35/39.90 | From (99) and (92) follows:
% 70.35/39.90 | (117) sdtasdt0(xx, all_0_2_2) = all_23_0_16
% 70.35/39.90 |
% 70.35/39.90 | From (113) and (96) follows:
% 70.35/39.90 | (118) sdtasdt0(sz10, all_0_2_2) = all_0_2_2
% 70.35/39.90 |
% 70.35/39.90 | From (109) and (71) follows:
% 70.35/39.90 | (119) sdtasdt0(sz00, all_0_2_2) = all_17_0_13
% 70.35/39.90 |
% 70.35/39.90 | From (100) and (84) follows:
% 70.35/39.90 | (120) sdtpldt0(all_0_2_2, sz10) = sz00
% 70.35/39.91 |
% 70.35/39.91 | From (100) and (85) follows:
% 70.35/39.91 | (121) sdtpldt0(sz10, all_0_2_2) = sz00
% 70.35/39.91 |
% 70.35/39.91 | From (107) and (89) follows:
% 70.35/39.91 | (122) aElement0(all_23_0_16) = 0
% 70.35/39.91 |
% 70.35/39.91 | From (108) and (82) follows:
% 70.35/39.91 | (123) aElement0(all_0_2_2) = 0
% 70.35/39.91 |
% 70.35/39.91 | From (104) and (75) follows:
% 70.35/39.91 | (124) aElement0(all_17_0_13) = 0
% 70.35/39.91 |
% 70.35/39.91 | Instantiating formula (11) with all_23_0_16, all_0_2_2, sz10, all_0_2_2, xx and discharging atoms sdtasdt0(all_0_2_2, sz10) = all_0_2_2, sdtasdt0(xx, all_0_2_2) = all_23_0_16, yields:
% 70.35/39.91 | (125) ? [v0] : ? [v1] : ((v1 = all_23_0_16 & sdtasdt0(v0, sz10) = all_23_0_16 & sdtasdt0(xx, all_0_2_2) = v0) | ( ~ (v0 = 0) & aElement0(all_0_2_2) = v0) | ( ~ (v0 = 0) & aElement0(xx) = v0) | ( ~ (v0 = 0) & aElement0(sz10) = v0))
% 70.35/39.91 |
% 70.35/39.91 | Instantiating formula (11) with all_23_0_16, xx, sz10, xx, all_0_2_2 and discharging atoms sdtasdt0(all_0_2_2, xx) = all_23_0_16, sdtasdt0(xx, sz10) = xx, yields:
% 70.35/39.91 | (126) ? [v0] : ? [v1] : ((v1 = all_23_0_16 & sdtasdt0(v0, sz10) = all_23_0_16 & sdtasdt0(all_0_2_2, xx) = v0) | ( ~ (v0 = 0) & aElement0(all_0_2_2) = v0) | ( ~ (v0 = 0) & aElement0(xx) = v0) | ( ~ (v0 = 0) & aElement0(sz10) = v0))
% 70.35/39.91 |
% 70.35/39.91 | Instantiating formula (3) with all_23_0_16, all_0_2_2, xx, all_0_2_2, sz10 and discharging atoms sdtasdt0(all_0_2_2, xx) = all_23_0_16, sdtasdt0(sz10, all_0_2_2) = all_0_2_2, yields:
% 70.35/39.91 | (127) ? [v0] : ? [v1] : ((v1 = all_23_0_16 & sdtasdt0(all_0_2_2, xx) = v0 & sdtasdt0(sz10, v0) = all_23_0_16) | ( ~ (v0 = 0) & aElement0(all_0_2_2) = v0) | ( ~ (v0 = 0) & aElement0(xx) = v0) | ( ~ (v0 = 0) & aElement0(sz10) = v0))
% 70.35/39.91 |
% 70.35/39.91 | Instantiating formula (3) with all_23_0_16, xx, all_0_2_2, xx, sz10 and discharging atoms sdtasdt0(xx, all_0_2_2) = all_23_0_16, sdtasdt0(sz10, xx) = xx, yields:
% 70.35/39.91 | (128) ? [v0] : ? [v1] : ((v1 = all_23_0_16 & sdtasdt0(xx, all_0_2_2) = v0 & sdtasdt0(sz10, v0) = all_23_0_16) | ( ~ (v0 = 0) & aElement0(all_0_2_2) = v0) | ( ~ (v0 = 0) & aElement0(xx) = v0) | ( ~ (v0 = 0) & aElement0(sz10) = v0))
% 70.35/39.91 |
% 70.35/39.91 | Instantiating formula (18) with all_17_0_13, sz00, xx, all_23_0_16, all_0_2_2 and discharging atoms sdtasdt0(all_0_2_2, sz00) = all_17_0_13, sdtpldt0(all_23_0_16, xx) = sz00, yields:
% 70.35/39.91 | (129) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ((v6 = v3 & v2 = all_17_0_13 & sdtasdt0(all_23_0_16, all_0_2_2) = v4 & sdtasdt0(all_0_2_2, all_23_0_16) = v0 & sdtasdt0(all_0_2_2, xx) = v1 & sdtasdt0(xx, all_0_2_2) = v5 & sdtasdt0(sz00, all_0_2_2) = v3 & sdtpldt0(v4, v5) = v3 & sdtpldt0(v0, v1) = all_17_0_13) | ( ~ (v0 = 0) & aElement0(all_23_0_16) = v0) | ( ~ (v0 = 0) & aElement0(all_0_2_2) = v0) | ( ~ (v0 = 0) & aElement0(xx) = v0))
% 70.35/39.91 |
% 70.35/39.91 | Instantiating formula (42) with sz00, xx, all_23_0_16, sz10, all_0_2_2, xx and discharging atoms sdtasdt0(xx, all_0_2_2) = all_23_0_16, sdtasdt0(xx, sz10) = xx, sdtpldt0(all_23_0_16, xx) = sz00, yields:
% 70.35/39.91 | (130) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ((v5 = v2 & v1 = sz00 & sdtasdt0(v0, xx) = v2 & sdtasdt0(all_0_2_2, xx) = v3 & sdtasdt0(xx, v0) = sz00 & sdtasdt0(sz10, xx) = v4 & sdtpldt0(v3, v4) = v2 & sdtpldt0(all_0_2_2, sz10) = v0) | ( ~ (v0 = 0) & aElement0(all_0_2_2) = v0) | ( ~ (v0 = 0) & aElement0(xx) = v0) | ( ~ (v0 = 0) & aElement0(sz10) = v0))
% 70.35/39.91 |
% 70.35/39.91 | Instantiating formula (30) with sz00, xx, all_23_0_16, sz10, all_0_2_2, xx and discharging atoms sdtasdt0(all_0_2_2, xx) = all_23_0_16, sdtasdt0(sz10, xx) = xx, sdtpldt0(all_23_0_16, xx) = sz00, yields:
% 70.35/39.91 | (131) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ((v5 = sz00 & v4 = v1 & sdtasdt0(v0, xx) = sz00 & sdtasdt0(xx, v0) = v1 & sdtasdt0(xx, all_0_2_2) = v2 & sdtasdt0(xx, sz10) = v3 & sdtpldt0(v2, v3) = v1 & sdtpldt0(all_0_2_2, sz10) = v0) | ( ~ (v0 = 0) & aElement0(all_0_2_2) = v0) | ( ~ (v0 = 0) & aElement0(xx) = v0) | ( ~ (v0 = 0) & aElement0(sz10) = v0))
% 70.35/39.91 |
% 70.35/39.91 | Instantiating formula (18) with sz00, sz00, xx, all_23_0_16, sz10 and discharging atoms sdtasdt0(sz10, sz00) = sz00, sdtpldt0(all_23_0_16, xx) = sz00, yields:
% 70.35/39.91 | (132) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ((v6 = v3 & v2 = sz00 & sdtasdt0(all_23_0_16, sz10) = v4 & sdtasdt0(xx, sz10) = v5 & sdtasdt0(sz10, all_23_0_16) = v0 & sdtasdt0(sz10, xx) = v1 & sdtasdt0(sz00, sz10) = v3 & sdtpldt0(v4, v5) = v3 & sdtpldt0(v0, v1) = sz00) | ( ~ (v0 = 0) & aElement0(all_23_0_16) = v0) | ( ~ (v0 = 0) & aElement0(xx) = v0) | ( ~ (v0 = 0) & aElement0(sz10) = v0))
% 70.77/39.91 |
% 70.77/39.91 | Instantiating formula (8) with all_17_0_13, sz00, xx, all_23_0_16, all_0_2_2 and discharging atoms sdtasdt0(sz00, all_0_2_2) = all_17_0_13, sdtpldt0(all_23_0_16, xx) = sz00, yields:
% 70.77/39.91 | (133) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ((v6 = all_17_0_13 & v3 = v0 & sdtasdt0(all_23_0_16, all_0_2_2) = v4 & sdtasdt0(all_0_2_2, all_23_0_16) = v1 & sdtasdt0(all_0_2_2, xx) = v2 & sdtasdt0(all_0_2_2, sz00) = v0 & sdtasdt0(xx, all_0_2_2) = v5 & sdtpldt0(v4, v5) = all_17_0_13 & sdtpldt0(v1, v2) = v0) | ( ~ (v0 = 0) & aElement0(all_23_0_16) = v0) | ( ~ (v0 = 0) & aElement0(all_0_2_2) = v0) | ( ~ (v0 = 0) & aElement0(xx) = v0))
% 70.77/39.92 |
% 70.77/39.92 | Instantiating formula (8) with sz00, sz00, xx, all_23_0_16, sz10 and discharging atoms sdtasdt0(sz00, sz10) = sz00, sdtpldt0(all_23_0_16, xx) = sz00, yields:
% 70.77/39.92 | (134) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ((v6 = sz00 & v3 = v0 & sdtasdt0(all_23_0_16, sz10) = v4 & sdtasdt0(xx, sz10) = v5 & sdtasdt0(sz10, all_23_0_16) = v1 & sdtasdt0(sz10, xx) = v2 & sdtasdt0(sz10, sz00) = v0 & sdtpldt0(v4, v5) = sz00 & sdtpldt0(v1, v2) = v0) | ( ~ (v0 = 0) & aElement0(all_23_0_16) = v0) | ( ~ (v0 = 0) & aElement0(xx) = v0) | ( ~ (v0 = 0) & aElement0(sz10) = v0))
% 70.77/39.92 |
% 70.77/39.92 | Instantiating formula (30) with sz00, sz00, all_17_0_13, sz10, all_0_2_2, sz00 and discharging atoms sdtasdt0(all_0_2_2, sz00) = all_17_0_13, sdtasdt0(sz10, sz00) = sz00, sdtpldt0(all_17_0_13, sz00) = sz00, yields:
% 70.77/39.92 | (135) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ((v5 = sz00 & v4 = v1 & sdtasdt0(v0, sz00) = sz00 & sdtasdt0(sz00, v0) = v1 & sdtasdt0(sz00, all_0_2_2) = v2 & sdtasdt0(sz00, sz10) = v3 & sdtpldt0(v2, v3) = v1 & sdtpldt0(all_0_2_2, sz10) = v0) | ( ~ (v0 = 0) & aElement0(all_0_2_2) = v0) | ( ~ (v0 = 0) & aElement0(sz10) = v0) | ( ~ (v0 = 0) & aElement0(sz00) = v0))
% 70.77/39.92 |
% 70.77/39.92 | Instantiating formula (42) with sz00, sz00, all_17_0_13, sz10, all_0_2_2, sz00 and discharging atoms sdtasdt0(sz00, all_0_2_2) = all_17_0_13, sdtasdt0(sz00, sz10) = sz00, sdtpldt0(all_17_0_13, sz00) = sz00, yields:
% 70.77/39.92 | (136) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ((v5 = v2 & v1 = sz00 & sdtasdt0(v0, sz00) = v2 & sdtasdt0(all_0_2_2, sz00) = v3 & sdtasdt0(sz10, sz00) = v4 & sdtasdt0(sz00, v0) = sz00 & sdtpldt0(v3, v4) = v2 & sdtpldt0(all_0_2_2, sz10) = v0) | ( ~ (v0 = 0) & aElement0(all_0_2_2) = v0) | ( ~ (v0 = 0) & aElement0(sz10) = v0) | ( ~ (v0 = 0) & aElement0(sz00) = v0))
% 70.77/39.92 |
% 70.77/39.92 | Instantiating formula (30) with sz00, all_23_0_16, xx, all_0_2_2, sz10, xx and discharging atoms sdtasdt0(all_0_2_2, xx) = all_23_0_16, sdtasdt0(sz10, xx) = xx, sdtpldt0(xx, all_23_0_16) = sz00, yields:
% 70.77/39.92 | (137) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ((v5 = sz00 & v4 = v1 & sdtasdt0(v0, xx) = sz00 & sdtasdt0(xx, v0) = v1 & sdtasdt0(xx, all_0_2_2) = v3 & sdtasdt0(xx, sz10) = v2 & sdtpldt0(v2, v3) = v1 & sdtpldt0(sz10, all_0_2_2) = v0) | ( ~ (v0 = 0) & aElement0(all_0_2_2) = v0) | ( ~ (v0 = 0) & aElement0(xx) = v0) | ( ~ (v0 = 0) & aElement0(sz10) = v0))
% 70.77/39.92 |
% 70.77/39.92 | Instantiating formula (18) with all_17_0_13, sz00, all_23_0_16, xx, all_0_2_2 and discharging atoms sdtasdt0(all_0_2_2, sz00) = all_17_0_13, sdtpldt0(xx, all_23_0_16) = sz00, yields:
% 70.77/39.92 | (138) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ((v6 = v3 & v2 = all_17_0_13 & sdtasdt0(all_23_0_16, all_0_2_2) = v5 & sdtasdt0(all_0_2_2, all_23_0_16) = v1 & sdtasdt0(all_0_2_2, xx) = v0 & sdtasdt0(xx, all_0_2_2) = v4 & sdtasdt0(sz00, all_0_2_2) = v3 & sdtpldt0(v4, v5) = v3 & sdtpldt0(v0, v1) = all_17_0_13) | ( ~ (v0 = 0) & aElement0(all_23_0_16) = v0) | ( ~ (v0 = 0) & aElement0(all_0_2_2) = v0) | ( ~ (v0 = 0) & aElement0(xx) = v0))
% 70.77/39.92 |
% 70.77/39.92 | Instantiating formula (42) with sz00, all_23_0_16, xx, all_0_2_2, sz10, xx and discharging atoms sdtasdt0(xx, all_0_2_2) = all_23_0_16, sdtasdt0(xx, sz10) = xx, sdtpldt0(xx, all_23_0_16) = sz00, yields:
% 70.77/39.92 | (139) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ((v5 = v2 & v1 = sz00 & sdtasdt0(v0, xx) = v2 & sdtasdt0(all_0_2_2, xx) = v4 & sdtasdt0(xx, v0) = sz00 & sdtasdt0(sz10, xx) = v3 & sdtpldt0(v3, v4) = v2 & sdtpldt0(sz10, all_0_2_2) = v0) | ( ~ (v0 = 0) & aElement0(all_0_2_2) = v0) | ( ~ (v0 = 0) & aElement0(xx) = v0) | ( ~ (v0 = 0) & aElement0(sz10) = v0))
% 70.77/39.92 |
% 70.77/39.92 | Instantiating formula (18) with sz00, sz00, all_23_0_16, xx, sz10 and discharging atoms sdtasdt0(sz10, sz00) = sz00, sdtpldt0(xx, all_23_0_16) = sz00, yields:
% 70.77/39.92 | (140) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ((v6 = v3 & v2 = sz00 & sdtasdt0(all_23_0_16, sz10) = v5 & sdtasdt0(xx, sz10) = v4 & sdtasdt0(sz10, all_23_0_16) = v1 & sdtasdt0(sz10, xx) = v0 & sdtasdt0(sz00, sz10) = v3 & sdtpldt0(v4, v5) = v3 & sdtpldt0(v0, v1) = sz00) | ( ~ (v0 = 0) & aElement0(all_23_0_16) = v0) | ( ~ (v0 = 0) & aElement0(xx) = v0) | ( ~ (v0 = 0) & aElement0(sz10) = v0))
% 70.77/39.92 |
% 70.77/39.92 | Instantiating formula (8) with all_17_0_13, sz00, all_23_0_16, xx, all_0_2_2 and discharging atoms sdtasdt0(sz00, all_0_2_2) = all_17_0_13, sdtpldt0(xx, all_23_0_16) = sz00, yields:
% 70.77/39.92 | (141) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ((v6 = all_17_0_13 & v3 = v0 & sdtasdt0(all_23_0_16, all_0_2_2) = v5 & sdtasdt0(all_0_2_2, all_23_0_16) = v2 & sdtasdt0(all_0_2_2, xx) = v1 & sdtasdt0(all_0_2_2, sz00) = v0 & sdtasdt0(xx, all_0_2_2) = v4 & sdtpldt0(v4, v5) = all_17_0_13 & sdtpldt0(v1, v2) = v0) | ( ~ (v0 = 0) & aElement0(all_23_0_16) = v0) | ( ~ (v0 = 0) & aElement0(all_0_2_2) = v0) | ( ~ (v0 = 0) & aElement0(xx) = v0))
% 70.77/39.92 |
% 70.77/39.92 | Instantiating formula (8) with sz00, sz00, all_23_0_16, xx, sz10 and discharging atoms sdtasdt0(sz00, sz10) = sz00, sdtpldt0(xx, all_23_0_16) = sz00, yields:
% 70.77/39.92 | (142) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ((v6 = sz00 & v3 = v0 & sdtasdt0(all_23_0_16, sz10) = v5 & sdtasdt0(xx, sz10) = v4 & sdtasdt0(sz10, all_23_0_16) = v2 & sdtasdt0(sz10, xx) = v1 & sdtasdt0(sz10, sz00) = v0 & sdtpldt0(v4, v5) = sz00 & sdtpldt0(v1, v2) = v0) | ( ~ (v0 = 0) & aElement0(all_23_0_16) = v0) | ( ~ (v0 = 0) & aElement0(xx) = v0) | ( ~ (v0 = 0) & aElement0(sz10) = v0))
% 70.77/39.93 |
% 70.77/39.93 | Instantiating formula (18) with all_23_0_16, xx, sz00, xx, all_0_2_2 and discharging atoms sdtasdt0(all_0_2_2, xx) = all_23_0_16, sdtpldt0(xx, sz00) = xx, yields:
% 70.77/39.93 | (143) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ((v6 = v3 & v2 = all_23_0_16 & sdtasdt0(all_0_2_2, xx) = v0 & sdtasdt0(all_0_2_2, sz00) = v1 & sdtasdt0(xx, all_0_2_2) = v4 & sdtasdt0(xx, all_0_2_2) = v3 & sdtasdt0(sz00, all_0_2_2) = v5 & sdtpldt0(v4, v5) = v3 & sdtpldt0(v0, v1) = all_23_0_16) | ( ~ (v0 = 0) & aElement0(all_0_2_2) = v0) | ( ~ (v0 = 0) & aElement0(xx) = v0) | ( ~ (v0 = 0) & aElement0(sz00) = v0))
% 70.77/39.93 |
% 70.77/39.93 | Instantiating formula (8) with all_23_0_16, xx, sz00, xx, all_0_2_2 and discharging atoms sdtasdt0(xx, all_0_2_2) = all_23_0_16, sdtpldt0(xx, sz00) = xx, yields:
% 70.77/39.93 | (144) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ((v6 = all_23_0_16 & v3 = v0 & sdtasdt0(all_0_2_2, xx) = v1 & sdtasdt0(all_0_2_2, xx) = v0 & sdtasdt0(all_0_2_2, sz00) = v2 & sdtasdt0(xx, all_0_2_2) = v4 & sdtasdt0(sz00, all_0_2_2) = v5 & sdtpldt0(v4, v5) = all_23_0_16 & sdtpldt0(v1, v2) = v0) | ( ~ (v0 = 0) & aElement0(all_0_2_2) = v0) | ( ~ (v0 = 0) & aElement0(xx) = v0) | ( ~ (v0 = 0) & aElement0(sz00) = v0))
% 70.77/39.93 |
% 70.77/39.93 | Instantiating formula (18) with xx, sz10, sz00, sz10, xx and discharging atoms sdtasdt0(xx, sz10) = xx, sdtpldt0(sz10, sz00) = sz10, yields:
% 70.77/39.93 | (145) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ((v6 = v3 & v2 = xx & sdtasdt0(xx, sz10) = v0 & sdtasdt0(xx, sz00) = v1 & sdtasdt0(sz10, xx) = v4 & sdtasdt0(sz10, xx) = v3 & sdtasdt0(sz00, xx) = v5 & sdtpldt0(v4, v5) = v3 & sdtpldt0(v0, v1) = xx) | ( ~ (v0 = 0) & aElement0(xx) = v0) | ( ~ (v0 = 0) & aElement0(sz10) = v0) | ( ~ (v0 = 0) & aElement0(sz00) = v0))
% 70.77/39.93 |
% 70.77/39.93 | Instantiating formula (8) with xx, sz10, sz00, sz10, xx and discharging atoms sdtasdt0(sz10, xx) = xx, sdtpldt0(sz10, sz00) = sz10, yields:
% 70.77/39.93 | (146) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ((v6 = xx & v3 = v0 & sdtasdt0(xx, sz10) = v1 & sdtasdt0(xx, sz10) = v0 & sdtasdt0(xx, sz00) = v2 & sdtasdt0(sz10, xx) = v4 & sdtasdt0(sz00, xx) = v5 & sdtpldt0(v4, v5) = xx & sdtpldt0(v1, v2) = v0) | ( ~ (v0 = 0) & aElement0(xx) = v0) | ( ~ (v0 = 0) & aElement0(sz10) = v0) | ( ~ (v0 = 0) & aElement0(sz00) = v0))
% 70.77/39.93 |
% 70.77/39.93 | Instantiating formula (28) with sz00, sz00, all_17_0_13, all_23_0_16, xx and discharging atoms sdtpldt0(xx, all_23_0_16) = sz00, sdtpldt0(sz00, all_17_0_13) = sz00, yields:
% 70.77/39.93 | (147) ? [v0] : ? [v1] : ((v1 = sz00 & sdtpldt0(all_23_0_16, all_17_0_13) = v0 & sdtpldt0(xx, v0) = sz00) | ( ~ (v0 = 0) & aElement0(all_23_0_16) = v0) | ( ~ (v0 = 0) & aElement0(all_17_0_13) = v0) | ( ~ (v0 = 0) & aElement0(xx) = v0))
% 70.77/39.93 |
% 70.77/39.93 | Instantiating formula (27) with sz00, all_17_0_13 and discharging atoms sdtpldt0(sz00, all_17_0_13) = sz00, yields:
% 70.77/39.93 | (148) ? [v0] : ((v0 = sz00 & all_17_0_13 = sz00 & sdtpldt0(sz00, sz00) = sz00) | ( ~ (v0 = 0) & aElement0(all_17_0_13) = v0))
% 70.77/39.93 |
% 70.77/39.93 | Instantiating formula (18) with all_23_0_16, xx, xx, sz00, all_0_2_2 and discharging atoms sdtasdt0(all_0_2_2, xx) = all_23_0_16, sdtpldt0(sz00, xx) = xx, yields:
% 70.77/39.93 | (149) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ((v6 = v3 & v2 = all_23_0_16 & sdtasdt0(all_0_2_2, xx) = v1 & sdtasdt0(all_0_2_2, sz00) = v0 & sdtasdt0(xx, all_0_2_2) = v5 & sdtasdt0(xx, all_0_2_2) = v3 & sdtasdt0(sz00, all_0_2_2) = v4 & sdtpldt0(v4, v5) = v3 & sdtpldt0(v0, v1) = all_23_0_16) | ( ~ (v0 = 0) & aElement0(all_0_2_2) = v0) | ( ~ (v0 = 0) & aElement0(xx) = v0) | ( ~ (v0 = 0) & aElement0(sz00) = v0))
% 70.77/39.93 |
% 70.77/39.93 | Instantiating formula (8) with all_23_0_16, xx, xx, sz00, all_0_2_2 and discharging atoms sdtasdt0(xx, all_0_2_2) = all_23_0_16, sdtpldt0(sz00, xx) = xx, yields:
% 70.77/39.93 | (150) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ((v6 = all_23_0_16 & v3 = v0 & sdtasdt0(all_0_2_2, xx) = v2 & sdtasdt0(all_0_2_2, xx) = v0 & sdtasdt0(all_0_2_2, sz00) = v1 & sdtasdt0(xx, all_0_2_2) = v5 & sdtasdt0(sz00, all_0_2_2) = v4 & sdtpldt0(v4, v5) = all_23_0_16 & sdtpldt0(v1, v2) = v0) | ( ~ (v0 = 0) & aElement0(all_0_2_2) = v0) | ( ~ (v0 = 0) & aElement0(xx) = v0) | ( ~ (v0 = 0) & aElement0(sz00) = v0))
% 70.77/39.94 |
% 70.77/39.94 | Instantiating formula (19) with sz00, xx, xx, sz00, all_23_0_16 and discharging atoms sdtpldt0(all_23_0_16, xx) = sz00, sdtpldt0(sz00, xx) = xx, yields:
% 70.77/39.94 | (151) ? [v0] : ? [v1] : ((v1 = sz00 & sdtpldt0(v0, xx) = sz00 & sdtpldt0(all_23_0_16, sz00) = v0) | ( ~ (v0 = 0) & aElement0(all_23_0_16) = v0) | ( ~ (v0 = 0) & aElement0(xx) = v0) | ( ~ (v0 = 0) & aElement0(sz00) = v0))
% 70.77/39.94 |
% 70.77/39.94 | Instantiating formula (18) with xx, sz10, sz10, sz00, xx and discharging atoms sdtasdt0(xx, sz10) = xx, sdtpldt0(sz00, sz10) = sz10, yields:
% 70.77/39.94 | (152) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ((v6 = v3 & v2 = xx & sdtasdt0(xx, sz10) = v1 & sdtasdt0(xx, sz00) = v0 & sdtasdt0(sz10, xx) = v5 & sdtasdt0(sz10, xx) = v3 & sdtasdt0(sz00, xx) = v4 & sdtpldt0(v4, v5) = v3 & sdtpldt0(v0, v1) = xx) | ( ~ (v0 = 0) & aElement0(xx) = v0) | ( ~ (v0 = 0) & aElement0(sz10) = v0) | ( ~ (v0 = 0) & aElement0(sz00) = v0))
% 70.77/39.94 |
% 70.77/39.94 | Instantiating formula (8) with xx, sz10, sz10, sz00, xx and discharging atoms sdtasdt0(sz10, xx) = xx, sdtpldt0(sz00, sz10) = sz10, yields:
% 70.77/39.94 | (153) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ((v6 = xx & v3 = v0 & sdtasdt0(xx, sz10) = v2 & sdtasdt0(xx, sz10) = v0 & sdtasdt0(xx, sz00) = v1 & sdtasdt0(sz10, xx) = v5 & sdtasdt0(sz00, xx) = v4 & sdtpldt0(v4, v5) = xx & sdtpldt0(v1, v2) = v0) | ( ~ (v0 = 0) & aElement0(xx) = v0) | ( ~ (v0 = 0) & aElement0(sz10) = v0) | ( ~ (v0 = 0) & aElement0(sz00) = v0))
% 70.77/39.94 |
% 70.77/39.94 | Instantiating formula (28) with sz00, sz00, sz00, all_23_0_16, xx and discharging atoms sdtpldt0(xx, all_23_0_16) = sz00, sdtpldt0(sz00, sz00) = sz00, yields:
% 70.77/39.94 | (154) ? [v0] : ? [v1] : ((v1 = sz00 & sdtpldt0(all_23_0_16, sz00) = v0 & sdtpldt0(xx, v0) = sz00) | ( ~ (v0 = 0) & aElement0(all_23_0_16) = v0) | ( ~ (v0 = 0) & aElement0(xx) = v0) | ( ~ (v0 = 0) & aElement0(sz00) = v0))
% 70.77/39.94 |
% 70.77/39.94 | Instantiating formula (32) with all_23_0_16 and discharging atoms aElement0(all_23_0_16) = 0, yields:
% 70.77/39.94 | (155) sdtpldt0(all_23_0_16, sz00) = all_23_0_16 & sdtpldt0(sz00, all_23_0_16) = all_23_0_16
% 70.77/39.94 |
% 70.77/39.94 | Applying alpha-rule on (155) yields:
% 70.77/39.94 | (156) sdtpldt0(all_23_0_16, sz00) = all_23_0_16
% 70.77/39.94 | (157) sdtpldt0(sz00, all_23_0_16) = all_23_0_16
% 70.77/39.94 |
% 70.77/39.94 | Instantiating (147) with all_67_0_35, all_67_1_36 yields:
% 70.77/39.94 | (158) (all_67_0_35 = sz00 & sdtpldt0(all_23_0_16, all_17_0_13) = all_67_1_36 & sdtpldt0(xx, all_67_1_36) = sz00) | ( ~ (all_67_1_36 = 0) & aElement0(all_23_0_16) = all_67_1_36) | ( ~ (all_67_1_36 = 0) & aElement0(all_17_0_13) = all_67_1_36) | ( ~ (all_67_1_36 = 0) & aElement0(xx) = all_67_1_36)
% 70.77/39.94 |
% 70.77/39.94 | Instantiating (146) with all_73_0_51, all_73_1_52, all_73_2_53, all_73_3_54, all_73_4_55, all_73_5_56, all_73_6_57 yields:
% 70.77/39.94 | (159) (all_73_0_51 = xx & all_73_3_54 = all_73_6_57 & sdtasdt0(xx, sz10) = all_73_5_56 & sdtasdt0(xx, sz10) = all_73_6_57 & sdtasdt0(xx, sz00) = all_73_4_55 & sdtasdt0(sz10, xx) = all_73_2_53 & sdtasdt0(sz00, xx) = all_73_1_52 & sdtpldt0(all_73_2_53, all_73_1_52) = xx & sdtpldt0(all_73_5_56, all_73_4_55) = all_73_6_57) | ( ~ (all_73_6_57 = 0) & aElement0(xx) = all_73_6_57) | ( ~ (all_73_6_57 = 0) & aElement0(sz10) = all_73_6_57) | ( ~ (all_73_6_57 = 0) & aElement0(sz00) = all_73_6_57)
% 70.77/39.94 |
% 70.77/39.94 | Instantiating (145) with all_74_0_58, all_74_1_59, all_74_2_60, all_74_3_61, all_74_4_62, all_74_5_63, all_74_6_64 yields:
% 70.77/39.94 | (160) (all_74_0_58 = all_74_3_61 & all_74_4_62 = xx & sdtasdt0(xx, sz10) = all_74_6_64 & sdtasdt0(xx, sz00) = all_74_5_63 & sdtasdt0(sz10, xx) = all_74_2_60 & sdtasdt0(sz10, xx) = all_74_3_61 & sdtasdt0(sz00, xx) = all_74_1_59 & sdtpldt0(all_74_2_60, all_74_1_59) = all_74_3_61 & sdtpldt0(all_74_6_64, all_74_5_63) = xx) | ( ~ (all_74_6_64 = 0) & aElement0(xx) = all_74_6_64) | ( ~ (all_74_6_64 = 0) & aElement0(sz10) = all_74_6_64) | ( ~ (all_74_6_64 = 0) & aElement0(sz00) = all_74_6_64)
% 70.77/39.94 |
% 70.77/39.94 | Instantiating (144) with all_82_0_103, all_82_1_104, all_82_2_105, all_82_3_106, all_82_4_107, all_82_5_108, all_82_6_109 yields:
% 70.77/39.94 | (161) (all_82_0_103 = all_23_0_16 & all_82_3_106 = all_82_6_109 & sdtasdt0(all_0_2_2, xx) = all_82_5_108 & sdtasdt0(all_0_2_2, xx) = all_82_6_109 & sdtasdt0(all_0_2_2, sz00) = all_82_4_107 & sdtasdt0(xx, all_0_2_2) = all_82_2_105 & sdtasdt0(sz00, all_0_2_2) = all_82_1_104 & sdtpldt0(all_82_2_105, all_82_1_104) = all_23_0_16 & sdtpldt0(all_82_5_108, all_82_4_107) = all_82_6_109) | ( ~ (all_82_6_109 = 0) & aElement0(all_0_2_2) = all_82_6_109) | ( ~ (all_82_6_109 = 0) & aElement0(xx) = all_82_6_109) | ( ~ (all_82_6_109 = 0) & aElement0(sz00) = all_82_6_109)
% 70.77/39.94 |
% 70.77/39.94 | Instantiating (143) with all_83_0_110, all_83_1_111, all_83_2_112, all_83_3_113, all_83_4_114, all_83_5_115, all_83_6_116 yields:
% 70.77/39.94 | (162) (all_83_0_110 = all_83_3_113 & all_83_4_114 = all_23_0_16 & sdtasdt0(all_0_2_2, xx) = all_83_6_116 & sdtasdt0(all_0_2_2, sz00) = all_83_5_115 & sdtasdt0(xx, all_0_2_2) = all_83_2_112 & sdtasdt0(xx, all_0_2_2) = all_83_3_113 & sdtasdt0(sz00, all_0_2_2) = all_83_1_111 & sdtpldt0(all_83_2_112, all_83_1_111) = all_83_3_113 & sdtpldt0(all_83_6_116, all_83_5_115) = all_23_0_16) | ( ~ (all_83_6_116 = 0) & aElement0(all_0_2_2) = all_83_6_116) | ( ~ (all_83_6_116 = 0) & aElement0(xx) = all_83_6_116) | ( ~ (all_83_6_116 = 0) & aElement0(sz00) = all_83_6_116)
% 70.77/39.94 |
% 70.77/39.94 | Instantiating (141) with all_94_0_157, all_94_1_158, all_94_2_159, all_94_3_160, all_94_4_161, all_94_5_162, all_94_6_163 yields:
% 70.77/39.94 | (163) (all_94_0_157 = all_17_0_13 & all_94_3_160 = all_94_6_163 & sdtasdt0(all_23_0_16, all_0_2_2) = all_94_1_158 & sdtasdt0(all_0_2_2, all_23_0_16) = all_94_4_161 & sdtasdt0(all_0_2_2, xx) = all_94_5_162 & sdtasdt0(all_0_2_2, sz00) = all_94_6_163 & sdtasdt0(xx, all_0_2_2) = all_94_2_159 & sdtpldt0(all_94_2_159, all_94_1_158) = all_17_0_13 & sdtpldt0(all_94_5_162, all_94_4_161) = all_94_6_163) | ( ~ (all_94_6_163 = 0) & aElement0(all_23_0_16) = all_94_6_163) | ( ~ (all_94_6_163 = 0) & aElement0(all_0_2_2) = all_94_6_163) | ( ~ (all_94_6_163 = 0) & aElement0(xx) = all_94_6_163)
% 70.77/39.95 |
% 70.77/39.95 | Instantiating (139) with all_95_0_164, all_95_1_165, all_95_2_166, all_95_3_167, all_95_4_168, all_95_5_169 yields:
% 70.77/39.95 | (164) (all_95_0_164 = all_95_3_167 & all_95_4_168 = sz00 & sdtasdt0(all_95_5_169, xx) = all_95_3_167 & sdtasdt0(all_0_2_2, xx) = all_95_1_165 & sdtasdt0(xx, all_95_5_169) = sz00 & sdtasdt0(sz10, xx) = all_95_2_166 & sdtpldt0(all_95_2_166, all_95_1_165) = all_95_3_167 & sdtpldt0(sz10, all_0_2_2) = all_95_5_169) | ( ~ (all_95_5_169 = 0) & aElement0(all_0_2_2) = all_95_5_169) | ( ~ (all_95_5_169 = 0) & aElement0(xx) = all_95_5_169) | ( ~ (all_95_5_169 = 0) & aElement0(sz10) = all_95_5_169)
% 70.77/39.95 |
% 70.77/39.95 | Instantiating (138) with all_96_0_170, all_96_1_171, all_96_2_172, all_96_3_173, all_96_4_174, all_96_5_175, all_96_6_176 yields:
% 70.77/39.95 | (165) (all_96_0_170 = all_96_3_173 & all_96_4_174 = all_17_0_13 & sdtasdt0(all_23_0_16, all_0_2_2) = all_96_1_171 & sdtasdt0(all_0_2_2, all_23_0_16) = all_96_5_175 & sdtasdt0(all_0_2_2, xx) = all_96_6_176 & sdtasdt0(xx, all_0_2_2) = all_96_2_172 & sdtasdt0(sz00, all_0_2_2) = all_96_3_173 & sdtpldt0(all_96_2_172, all_96_1_171) = all_96_3_173 & sdtpldt0(all_96_6_176, all_96_5_175) = all_17_0_13) | ( ~ (all_96_6_176 = 0) & aElement0(all_23_0_16) = all_96_6_176) | ( ~ (all_96_6_176 = 0) & aElement0(all_0_2_2) = all_96_6_176) | ( ~ (all_96_6_176 = 0) & aElement0(xx) = all_96_6_176)
% 70.77/39.95 |
% 70.77/39.95 | Instantiating (140) with all_97_0_177, all_97_1_178, all_97_2_179, all_97_3_180, all_97_4_181, all_97_5_182, all_97_6_183 yields:
% 70.77/39.95 | (166) (all_97_0_177 = all_97_3_180 & all_97_4_181 = sz00 & sdtasdt0(all_23_0_16, sz10) = all_97_1_178 & sdtasdt0(xx, sz10) = all_97_2_179 & sdtasdt0(sz10, all_23_0_16) = all_97_5_182 & sdtasdt0(sz10, xx) = all_97_6_183 & sdtasdt0(sz00, sz10) = all_97_3_180 & sdtpldt0(all_97_2_179, all_97_1_178) = all_97_3_180 & sdtpldt0(all_97_6_183, all_97_5_182) = sz00) | ( ~ (all_97_6_183 = 0) & aElement0(all_23_0_16) = all_97_6_183) | ( ~ (all_97_6_183 = 0) & aElement0(xx) = all_97_6_183) | ( ~ (all_97_6_183 = 0) & aElement0(sz10) = all_97_6_183)
% 70.77/39.95 |
% 70.77/39.95 | Instantiating (133) with all_99_0_191, all_99_1_192, all_99_2_193, all_99_3_194, all_99_4_195, all_99_5_196, all_99_6_197 yields:
% 70.77/39.95 | (167) (all_99_0_191 = all_17_0_13 & all_99_3_194 = all_99_6_197 & sdtasdt0(all_23_0_16, all_0_2_2) = all_99_2_193 & sdtasdt0(all_0_2_2, all_23_0_16) = all_99_5_196 & sdtasdt0(all_0_2_2, xx) = all_99_4_195 & sdtasdt0(all_0_2_2, sz00) = all_99_6_197 & sdtasdt0(xx, all_0_2_2) = all_99_1_192 & sdtpldt0(all_99_2_193, all_99_1_192) = all_17_0_13 & sdtpldt0(all_99_5_196, all_99_4_195) = all_99_6_197) | ( ~ (all_99_6_197 = 0) & aElement0(all_23_0_16) = all_99_6_197) | ( ~ (all_99_6_197 = 0) & aElement0(all_0_2_2) = all_99_6_197) | ( ~ (all_99_6_197 = 0) & aElement0(xx) = all_99_6_197)
% 70.77/39.95 |
% 70.77/39.95 | Instantiating (132) with all_100_0_198, all_100_1_199, all_100_2_200, all_100_3_201, all_100_4_202, all_100_5_203, all_100_6_204 yields:
% 70.77/39.95 | (168) (all_100_0_198 = all_100_3_201 & all_100_4_202 = sz00 & sdtasdt0(all_23_0_16, sz10) = all_100_2_200 & sdtasdt0(xx, sz10) = all_100_1_199 & sdtasdt0(sz10, all_23_0_16) = all_100_6_204 & sdtasdt0(sz10, xx) = all_100_5_203 & sdtasdt0(sz00, sz10) = all_100_3_201 & sdtpldt0(all_100_2_200, all_100_1_199) = all_100_3_201 & sdtpldt0(all_100_6_204, all_100_5_203) = sz00) | ( ~ (all_100_6_204 = 0) & aElement0(all_23_0_16) = all_100_6_204) | ( ~ (all_100_6_204 = 0) & aElement0(xx) = all_100_6_204) | ( ~ (all_100_6_204 = 0) & aElement0(sz10) = all_100_6_204)
% 70.77/39.95 |
% 70.77/39.95 | Instantiating (128) with all_103_0_209, all_103_1_210 yields:
% 70.77/39.95 | (169) (all_103_0_209 = all_23_0_16 & sdtasdt0(xx, all_0_2_2) = all_103_1_210 & sdtasdt0(sz10, all_103_1_210) = all_23_0_16) | ( ~ (all_103_1_210 = 0) & aElement0(all_0_2_2) = all_103_1_210) | ( ~ (all_103_1_210 = 0) & aElement0(xx) = all_103_1_210) | ( ~ (all_103_1_210 = 0) & aElement0(sz10) = all_103_1_210)
% 70.77/39.95 |
% 70.77/39.95 | Instantiating (134) with all_104_0_211, all_104_1_212, all_104_2_213, all_104_3_214, all_104_4_215, all_104_5_216, all_104_6_217 yields:
% 70.77/39.95 | (170) (all_104_0_211 = sz00 & all_104_3_214 = all_104_6_217 & sdtasdt0(all_23_0_16, sz10) = all_104_2_213 & sdtasdt0(xx, sz10) = all_104_1_212 & sdtasdt0(sz10, all_23_0_16) = all_104_5_216 & sdtasdt0(sz10, xx) = all_104_4_215 & sdtasdt0(sz10, sz00) = all_104_6_217 & sdtpldt0(all_104_2_213, all_104_1_212) = sz00 & sdtpldt0(all_104_5_216, all_104_4_215) = all_104_6_217) | ( ~ (all_104_6_217 = 0) & aElement0(all_23_0_16) = all_104_6_217) | ( ~ (all_104_6_217 = 0) & aElement0(xx) = all_104_6_217) | ( ~ (all_104_6_217 = 0) & aElement0(sz10) = all_104_6_217)
% 70.77/39.95 |
% 70.77/39.95 | Instantiating (131) with all_105_0_218, all_105_1_219, all_105_2_220, all_105_3_221, all_105_4_222, all_105_5_223 yields:
% 70.77/39.95 | (171) (all_105_0_218 = sz00 & all_105_1_219 = all_105_4_222 & sdtasdt0(all_105_5_223, xx) = sz00 & sdtasdt0(xx, all_105_5_223) = all_105_4_222 & sdtasdt0(xx, all_0_2_2) = all_105_3_221 & sdtasdt0(xx, sz10) = all_105_2_220 & sdtpldt0(all_105_3_221, all_105_2_220) = all_105_4_222 & sdtpldt0(all_0_2_2, sz10) = all_105_5_223) | ( ~ (all_105_5_223 = 0) & aElement0(all_0_2_2) = all_105_5_223) | ( ~ (all_105_5_223 = 0) & aElement0(xx) = all_105_5_223) | ( ~ (all_105_5_223 = 0) & aElement0(sz10) = all_105_5_223)
% 70.77/39.95 |
% 70.77/39.95 | Instantiating (130) with all_106_0_224, all_106_1_225, all_106_2_226, all_106_3_227, all_106_4_228, all_106_5_229 yields:
% 70.77/39.95 | (172) (all_106_0_224 = all_106_3_227 & all_106_4_228 = sz00 & sdtasdt0(all_106_5_229, xx) = all_106_3_227 & sdtasdt0(all_0_2_2, xx) = all_106_2_226 & sdtasdt0(xx, all_106_5_229) = sz00 & sdtasdt0(sz10, xx) = all_106_1_225 & sdtpldt0(all_106_2_226, all_106_1_225) = all_106_3_227 & sdtpldt0(all_0_2_2, sz10) = all_106_5_229) | ( ~ (all_106_5_229 = 0) & aElement0(all_0_2_2) = all_106_5_229) | ( ~ (all_106_5_229 = 0) & aElement0(xx) = all_106_5_229) | ( ~ (all_106_5_229 = 0) & aElement0(sz10) = all_106_5_229)
% 70.77/39.95 |
% 70.77/39.95 | Instantiating (129) with all_107_0_230, all_107_1_231, all_107_2_232, all_107_3_233, all_107_4_234, all_107_5_235, all_107_6_236 yields:
% 70.77/39.95 | (173) (all_107_0_230 = all_107_3_233 & all_107_4_234 = all_17_0_13 & sdtasdt0(all_23_0_16, all_0_2_2) = all_107_2_232 & sdtasdt0(all_0_2_2, all_23_0_16) = all_107_6_236 & sdtasdt0(all_0_2_2, xx) = all_107_5_235 & sdtasdt0(xx, all_0_2_2) = all_107_1_231 & sdtasdt0(sz00, all_0_2_2) = all_107_3_233 & sdtpldt0(all_107_2_232, all_107_1_231) = all_107_3_233 & sdtpldt0(all_107_6_236, all_107_5_235) = all_17_0_13) | ( ~ (all_107_6_236 = 0) & aElement0(all_23_0_16) = all_107_6_236) | ( ~ (all_107_6_236 = 0) & aElement0(all_0_2_2) = all_107_6_236) | ( ~ (all_107_6_236 = 0) & aElement0(xx) = all_107_6_236)
% 70.77/39.95 |
% 70.77/39.95 | Instantiating (127) with all_109_0_239, all_109_1_240 yields:
% 70.77/39.95 | (174) (all_109_0_239 = all_23_0_16 & sdtasdt0(all_0_2_2, xx) = all_109_1_240 & sdtasdt0(sz10, all_109_1_240) = all_23_0_16) | ( ~ (all_109_1_240 = 0) & aElement0(all_0_2_2) = all_109_1_240) | ( ~ (all_109_1_240 = 0) & aElement0(xx) = all_109_1_240) | ( ~ (all_109_1_240 = 0) & aElement0(sz10) = all_109_1_240)
% 70.77/39.95 |
% 70.77/39.95 | Instantiating (126) with all_110_0_241, all_110_1_242 yields:
% 70.77/39.95 | (175) (all_110_0_241 = all_23_0_16 & sdtasdt0(all_110_1_242, sz10) = all_23_0_16 & sdtasdt0(all_0_2_2, xx) = all_110_1_242) | ( ~ (all_110_1_242 = 0) & aElement0(all_0_2_2) = all_110_1_242) | ( ~ (all_110_1_242 = 0) & aElement0(xx) = all_110_1_242) | ( ~ (all_110_1_242 = 0) & aElement0(sz10) = all_110_1_242)
% 70.77/39.95 |
% 70.77/39.95 | Instantiating (125) with all_111_0_243, all_111_1_244 yields:
% 70.77/39.95 | (176) (all_111_0_243 = all_23_0_16 & sdtasdt0(all_111_1_244, sz10) = all_23_0_16 & sdtasdt0(xx, all_0_2_2) = all_111_1_244) | ( ~ (all_111_1_244 = 0) & aElement0(all_0_2_2) = all_111_1_244) | ( ~ (all_111_1_244 = 0) & aElement0(xx) = all_111_1_244) | ( ~ (all_111_1_244 = 0) & aElement0(sz10) = all_111_1_244)
% 70.77/39.95 |
% 70.77/39.95 | Instantiating (137) with all_113_0_247, all_113_1_248, all_113_2_249, all_113_3_250, all_113_4_251, all_113_5_252 yields:
% 70.77/39.95 | (177) (all_113_0_247 = sz00 & all_113_1_248 = all_113_4_251 & sdtasdt0(all_113_5_252, xx) = sz00 & sdtasdt0(xx, all_113_5_252) = all_113_4_251 & sdtasdt0(xx, all_0_2_2) = all_113_2_249 & sdtasdt0(xx, sz10) = all_113_3_250 & sdtpldt0(all_113_3_250, all_113_2_249) = all_113_4_251 & sdtpldt0(sz10, all_0_2_2) = all_113_5_252) | ( ~ (all_113_5_252 = 0) & aElement0(all_0_2_2) = all_113_5_252) | ( ~ (all_113_5_252 = 0) & aElement0(xx) = all_113_5_252) | ( ~ (all_113_5_252 = 0) & aElement0(sz10) = all_113_5_252)
% 70.77/39.95 |
% 70.77/39.95 | Instantiating (142) with all_119_0_257, all_119_1_258, all_119_2_259, all_119_3_260, all_119_4_261, all_119_5_262, all_119_6_263 yields:
% 70.77/39.95 | (178) (all_119_0_257 = sz00 & all_119_3_260 = all_119_6_263 & sdtasdt0(all_23_0_16, sz10) = all_119_1_258 & sdtasdt0(xx, sz10) = all_119_2_259 & sdtasdt0(sz10, all_23_0_16) = all_119_4_261 & sdtasdt0(sz10, xx) = all_119_5_262 & sdtasdt0(sz10, sz00) = all_119_6_263 & sdtpldt0(all_119_2_259, all_119_1_258) = sz00 & sdtpldt0(all_119_5_262, all_119_4_261) = all_119_6_263) | ( ~ (all_119_6_263 = 0) & aElement0(all_23_0_16) = all_119_6_263) | ( ~ (all_119_6_263 = 0) & aElement0(xx) = all_119_6_263) | ( ~ (all_119_6_263 = 0) & aElement0(sz10) = all_119_6_263)
% 70.77/39.96 |
% 70.77/39.96 | Instantiating (154) with all_127_0_275, all_127_1_276 yields:
% 70.77/39.96 | (179) (all_127_0_275 = sz00 & sdtpldt0(all_23_0_16, sz00) = all_127_1_276 & sdtpldt0(xx, all_127_1_276) = sz00) | ( ~ (all_127_1_276 = 0) & aElement0(all_23_0_16) = all_127_1_276) | ( ~ (all_127_1_276 = 0) & aElement0(xx) = all_127_1_276) | ( ~ (all_127_1_276 = 0) & aElement0(sz00) = all_127_1_276)
% 70.77/39.96 |
% 70.77/39.96 | Instantiating (153) with all_130_0_290, all_130_1_291, all_130_2_292, all_130_3_293, all_130_4_294, all_130_5_295, all_130_6_296 yields:
% 70.77/39.96 | (180) (all_130_0_290 = xx & all_130_3_293 = all_130_6_296 & sdtasdt0(xx, sz10) = all_130_4_294 & sdtasdt0(xx, sz10) = all_130_6_296 & sdtasdt0(xx, sz00) = all_130_5_295 & sdtasdt0(sz10, xx) = all_130_1_291 & sdtasdt0(sz00, xx) = all_130_2_292 & sdtpldt0(all_130_2_292, all_130_1_291) = xx & sdtpldt0(all_130_5_295, all_130_4_294) = all_130_6_296) | ( ~ (all_130_6_296 = 0) & aElement0(xx) = all_130_6_296) | ( ~ (all_130_6_296 = 0) & aElement0(sz10) = all_130_6_296) | ( ~ (all_130_6_296 = 0) & aElement0(sz00) = all_130_6_296)
% 70.77/39.96 |
% 70.77/39.96 | Instantiating (152) with all_131_0_297, all_131_1_298, all_131_2_299, all_131_3_300, all_131_4_301, all_131_5_302, all_131_6_303 yields:
% 70.77/39.96 | (181) (all_131_0_297 = all_131_3_300 & all_131_4_301 = xx & sdtasdt0(xx, sz10) = all_131_5_302 & sdtasdt0(xx, sz00) = all_131_6_303 & sdtasdt0(sz10, xx) = all_131_1_298 & sdtasdt0(sz10, xx) = all_131_3_300 & sdtasdt0(sz00, xx) = all_131_2_299 & sdtpldt0(all_131_2_299, all_131_1_298) = all_131_3_300 & sdtpldt0(all_131_6_303, all_131_5_302) = xx) | ( ~ (all_131_6_303 = 0) & aElement0(xx) = all_131_6_303) | ( ~ (all_131_6_303 = 0) & aElement0(sz10) = all_131_6_303) | ( ~ (all_131_6_303 = 0) & aElement0(sz00) = all_131_6_303)
% 70.77/39.96 |
% 70.77/39.96 | Instantiating (148) with all_134_0_318 yields:
% 70.77/39.96 | (182) (all_134_0_318 = sz00 & all_17_0_13 = sz00 & sdtpldt0(sz00, sz00) = sz00) | ( ~ (all_134_0_318 = 0) & aElement0(all_17_0_13) = all_134_0_318)
% 70.77/39.96 |
% 70.77/39.96 | Instantiating (151) with all_136_0_321, all_136_1_322 yields:
% 70.77/39.96 | (183) (all_136_0_321 = sz00 & sdtpldt0(all_136_1_322, xx) = sz00 & sdtpldt0(all_23_0_16, sz00) = all_136_1_322) | ( ~ (all_136_1_322 = 0) & aElement0(all_23_0_16) = all_136_1_322) | ( ~ (all_136_1_322 = 0) & aElement0(xx) = all_136_1_322) | ( ~ (all_136_1_322 = 0) & aElement0(sz00) = all_136_1_322)
% 70.77/39.96 |
% 70.77/39.96 | Instantiating (150) with all_140_0_329, all_140_1_330, all_140_2_331, all_140_3_332, all_140_4_333, all_140_5_334, all_140_6_335 yields:
% 70.77/39.96 | (184) (all_140_0_329 = all_23_0_16 & all_140_3_332 = all_140_6_335 & sdtasdt0(all_0_2_2, xx) = all_140_4_333 & sdtasdt0(all_0_2_2, xx) = all_140_6_335 & sdtasdt0(all_0_2_2, sz00) = all_140_5_334 & sdtasdt0(xx, all_0_2_2) = all_140_1_330 & sdtasdt0(sz00, all_0_2_2) = all_140_2_331 & sdtpldt0(all_140_2_331, all_140_1_330) = all_23_0_16 & sdtpldt0(all_140_5_334, all_140_4_333) = all_140_6_335) | ( ~ (all_140_6_335 = 0) & aElement0(all_0_2_2) = all_140_6_335) | ( ~ (all_140_6_335 = 0) & aElement0(xx) = all_140_6_335) | ( ~ (all_140_6_335 = 0) & aElement0(sz00) = all_140_6_335)
% 70.77/39.96 |
% 70.77/39.96 | Instantiating (136) with all_143_0_345, all_143_1_346, all_143_2_347, all_143_3_348, all_143_4_349, all_143_5_350 yields:
% 70.77/39.96 | (185) (all_143_0_345 = all_143_3_348 & all_143_4_349 = sz00 & sdtasdt0(all_143_5_350, sz00) = all_143_3_348 & sdtasdt0(all_0_2_2, sz00) = all_143_2_347 & sdtasdt0(sz10, sz00) = all_143_1_346 & sdtasdt0(sz00, all_143_5_350) = sz00 & sdtpldt0(all_143_2_347, all_143_1_346) = all_143_3_348 & sdtpldt0(all_0_2_2, sz10) = all_143_5_350) | ( ~ (all_143_5_350 = 0) & aElement0(all_0_2_2) = all_143_5_350) | ( ~ (all_143_5_350 = 0) & aElement0(sz10) = all_143_5_350) | ( ~ (all_143_5_350 = 0) & aElement0(sz00) = all_143_5_350)
% 70.77/39.96 |
% 70.77/39.96 | Instantiating (149) with all_151_0_390, all_151_1_391, all_151_2_392, all_151_3_393, all_151_4_394, all_151_5_395, all_151_6_396 yields:
% 70.77/39.96 | (186) (all_151_0_390 = all_151_3_393 & all_151_4_394 = all_23_0_16 & sdtasdt0(all_0_2_2, xx) = all_151_5_395 & sdtasdt0(all_0_2_2, sz00) = all_151_6_396 & sdtasdt0(xx, all_0_2_2) = all_151_1_391 & sdtasdt0(xx, all_0_2_2) = all_151_3_393 & sdtasdt0(sz00, all_0_2_2) = all_151_2_392 & sdtpldt0(all_151_2_392, all_151_1_391) = all_151_3_393 & sdtpldt0(all_151_6_396, all_151_5_395) = all_23_0_16) | ( ~ (all_151_6_396 = 0) & aElement0(all_0_2_2) = all_151_6_396) | ( ~ (all_151_6_396 = 0) & aElement0(xx) = all_151_6_396) | ( ~ (all_151_6_396 = 0) & aElement0(sz00) = all_151_6_396)
% 70.77/39.96 |
% 70.77/39.96 | Instantiating (135) with all_164_0_445, all_164_1_446, all_164_2_447, all_164_3_448, all_164_4_449, all_164_5_450 yields:
% 70.77/39.96 | (187) (all_164_0_445 = sz00 & all_164_1_446 = all_164_4_449 & sdtasdt0(all_164_5_450, sz00) = sz00 & sdtasdt0(sz00, all_164_5_450) = all_164_4_449 & sdtasdt0(sz00, all_0_2_2) = all_164_3_448 & sdtasdt0(sz00, sz10) = all_164_2_447 & sdtpldt0(all_164_3_448, all_164_2_447) = all_164_4_449 & sdtpldt0(all_0_2_2, sz10) = all_164_5_450) | ( ~ (all_164_5_450 = 0) & aElement0(all_0_2_2) = all_164_5_450) | ( ~ (all_164_5_450 = 0) & aElement0(sz10) = all_164_5_450) | ( ~ (all_164_5_450 = 0) & aElement0(sz00) = all_164_5_450)
% 70.77/39.96 |
% 70.77/39.96 +-Applying beta-rule and splitting (158), into two cases.
% 70.77/39.96 |-Branch one:
% 70.77/39.96 | (188) (all_67_0_35 = sz00 & sdtpldt0(all_23_0_16, all_17_0_13) = all_67_1_36 & sdtpldt0(xx, all_67_1_36) = sz00) | ( ~ (all_67_1_36 = 0) & aElement0(all_23_0_16) = all_67_1_36) | ( ~ (all_67_1_36 = 0) & aElement0(all_17_0_13) = all_67_1_36)
% 70.77/39.96 |
% 70.77/39.96 +-Applying beta-rule and splitting (188), into two cases.
% 70.77/39.96 |-Branch one:
% 70.77/39.96 | (189) (all_67_0_35 = sz00 & sdtpldt0(all_23_0_16, all_17_0_13) = all_67_1_36 & sdtpldt0(xx, all_67_1_36) = sz00) | ( ~ (all_67_1_36 = 0) & aElement0(all_23_0_16) = all_67_1_36)
% 70.77/39.96 |
% 70.77/39.96 +-Applying beta-rule and splitting (189), into two cases.
% 70.77/39.96 |-Branch one:
% 70.77/39.96 | (190) all_67_0_35 = sz00 & sdtpldt0(all_23_0_16, all_17_0_13) = all_67_1_36 & sdtpldt0(xx, all_67_1_36) = sz00
% 70.77/39.96 |
% 70.77/39.96 | Applying alpha-rule on (190) yields:
% 70.77/39.96 | (191) all_67_0_35 = sz00
% 70.77/39.96 | (192) sdtpldt0(all_23_0_16, all_17_0_13) = all_67_1_36
% 70.77/39.96 | (193) sdtpldt0(xx, all_67_1_36) = sz00
% 70.77/39.96 |
% 70.77/39.96 +-Applying beta-rule and splitting (166), into two cases.
% 70.77/39.96 |-Branch one:
% 70.77/39.96 | (194) (all_97_0_177 = all_97_3_180 & all_97_4_181 = sz00 & sdtasdt0(all_23_0_16, sz10) = all_97_1_178 & sdtasdt0(xx, sz10) = all_97_2_179 & sdtasdt0(sz10, all_23_0_16) = all_97_5_182 & sdtasdt0(sz10, xx) = all_97_6_183 & sdtasdt0(sz00, sz10) = all_97_3_180 & sdtpldt0(all_97_2_179, all_97_1_178) = all_97_3_180 & sdtpldt0(all_97_6_183, all_97_5_182) = sz00) | ( ~ (all_97_6_183 = 0) & aElement0(all_23_0_16) = all_97_6_183) | ( ~ (all_97_6_183 = 0) & aElement0(xx) = all_97_6_183)
% 70.77/39.96 |
% 70.77/39.96 +-Applying beta-rule and splitting (194), into two cases.
% 70.77/39.96 |-Branch one:
% 70.77/39.96 | (195) (all_97_0_177 = all_97_3_180 & all_97_4_181 = sz00 & sdtasdt0(all_23_0_16, sz10) = all_97_1_178 & sdtasdt0(xx, sz10) = all_97_2_179 & sdtasdt0(sz10, all_23_0_16) = all_97_5_182 & sdtasdt0(sz10, xx) = all_97_6_183 & sdtasdt0(sz00, sz10) = all_97_3_180 & sdtpldt0(all_97_2_179, all_97_1_178) = all_97_3_180 & sdtpldt0(all_97_6_183, all_97_5_182) = sz00) | ( ~ (all_97_6_183 = 0) & aElement0(all_23_0_16) = all_97_6_183)
% 70.77/39.96 |
% 70.77/39.96 +-Applying beta-rule and splitting (195), into two cases.
% 70.77/39.96 |-Branch one:
% 70.77/39.96 | (196) all_97_0_177 = all_97_3_180 & all_97_4_181 = sz00 & sdtasdt0(all_23_0_16, sz10) = all_97_1_178 & sdtasdt0(xx, sz10) = all_97_2_179 & sdtasdt0(sz10, all_23_0_16) = all_97_5_182 & sdtasdt0(sz10, xx) = all_97_6_183 & sdtasdt0(sz00, sz10) = all_97_3_180 & sdtpldt0(all_97_2_179, all_97_1_178) = all_97_3_180 & sdtpldt0(all_97_6_183, all_97_5_182) = sz00
% 70.77/39.96 |
% 70.77/39.96 | Applying alpha-rule on (196) yields:
% 70.77/39.96 | (197) sdtasdt0(sz00, sz10) = all_97_3_180
% 70.77/39.96 | (198) sdtasdt0(xx, sz10) = all_97_2_179
% 70.77/39.96 | (199) sdtasdt0(sz10, xx) = all_97_6_183
% 70.77/39.96 | (200) sdtpldt0(all_97_2_179, all_97_1_178) = all_97_3_180
% 70.77/39.96 | (201) sdtasdt0(sz10, all_23_0_16) = all_97_5_182
% 70.77/39.96 | (202) all_97_0_177 = all_97_3_180
% 70.77/39.96 | (203) all_97_4_181 = sz00
% 70.77/39.96 | (204) sdtasdt0(all_23_0_16, sz10) = all_97_1_178
% 70.77/39.96 | (205) sdtpldt0(all_97_6_183, all_97_5_182) = sz00
% 70.77/39.96 |
% 70.77/39.96 +-Applying beta-rule and splitting (164), into two cases.
% 70.77/39.96 |-Branch one:
% 70.77/39.96 | (206) (all_95_0_164 = all_95_3_167 & all_95_4_168 = sz00 & sdtasdt0(all_95_5_169, xx) = all_95_3_167 & sdtasdt0(all_0_2_2, xx) = all_95_1_165 & sdtasdt0(xx, all_95_5_169) = sz00 & sdtasdt0(sz10, xx) = all_95_2_166 & sdtpldt0(all_95_2_166, all_95_1_165) = all_95_3_167 & sdtpldt0(sz10, all_0_2_2) = all_95_5_169) | ( ~ (all_95_5_169 = 0) & aElement0(all_0_2_2) = all_95_5_169) | ( ~ (all_95_5_169 = 0) & aElement0(xx) = all_95_5_169)
% 70.77/39.96 |
% 70.77/39.96 +-Applying beta-rule and splitting (206), into two cases.
% 70.77/39.96 |-Branch one:
% 70.77/39.96 | (207) (all_95_0_164 = all_95_3_167 & all_95_4_168 = sz00 & sdtasdt0(all_95_5_169, xx) = all_95_3_167 & sdtasdt0(all_0_2_2, xx) = all_95_1_165 & sdtasdt0(xx, all_95_5_169) = sz00 & sdtasdt0(sz10, xx) = all_95_2_166 & sdtpldt0(all_95_2_166, all_95_1_165) = all_95_3_167 & sdtpldt0(sz10, all_0_2_2) = all_95_5_169) | ( ~ (all_95_5_169 = 0) & aElement0(all_0_2_2) = all_95_5_169)
% 70.77/39.96 |
% 70.77/39.96 +-Applying beta-rule and splitting (207), into two cases.
% 70.77/39.96 |-Branch one:
% 70.77/39.96 | (208) all_95_0_164 = all_95_3_167 & all_95_4_168 = sz00 & sdtasdt0(all_95_5_169, xx) = all_95_3_167 & sdtasdt0(all_0_2_2, xx) = all_95_1_165 & sdtasdt0(xx, all_95_5_169) = sz00 & sdtasdt0(sz10, xx) = all_95_2_166 & sdtpldt0(all_95_2_166, all_95_1_165) = all_95_3_167 & sdtpldt0(sz10, all_0_2_2) = all_95_5_169
% 70.77/39.96 |
% 70.77/39.96 | Applying alpha-rule on (208) yields:
% 70.77/39.96 | (209) sdtasdt0(sz10, xx) = all_95_2_166
% 70.77/39.96 | (210) all_95_0_164 = all_95_3_167
% 70.77/39.96 | (211) sdtasdt0(all_95_5_169, xx) = all_95_3_167
% 70.77/39.96 | (212) sdtasdt0(all_0_2_2, xx) = all_95_1_165
% 70.77/39.96 | (213) all_95_4_168 = sz00
% 70.77/39.96 | (214) sdtasdt0(xx, all_95_5_169) = sz00
% 70.77/39.96 | (215) sdtpldt0(all_95_2_166, all_95_1_165) = all_95_3_167
% 70.77/39.96 | (216) sdtpldt0(sz10, all_0_2_2) = all_95_5_169
% 70.77/39.96 |
% 70.77/39.97 +-Applying beta-rule and splitting (165), into two cases.
% 70.77/39.97 |-Branch one:
% 70.77/39.97 | (217) (all_96_0_170 = all_96_3_173 & all_96_4_174 = all_17_0_13 & sdtasdt0(all_23_0_16, all_0_2_2) = all_96_1_171 & sdtasdt0(all_0_2_2, all_23_0_16) = all_96_5_175 & sdtasdt0(all_0_2_2, xx) = all_96_6_176 & sdtasdt0(xx, all_0_2_2) = all_96_2_172 & sdtasdt0(sz00, all_0_2_2) = all_96_3_173 & sdtpldt0(all_96_2_172, all_96_1_171) = all_96_3_173 & sdtpldt0(all_96_6_176, all_96_5_175) = all_17_0_13) | ( ~ (all_96_6_176 = 0) & aElement0(all_23_0_16) = all_96_6_176) | ( ~ (all_96_6_176 = 0) & aElement0(all_0_2_2) = all_96_6_176)
% 70.77/39.97 |
% 70.77/39.97 +-Applying beta-rule and splitting (217), into two cases.
% 70.77/39.97 |-Branch one:
% 70.77/39.97 | (218) (all_96_0_170 = all_96_3_173 & all_96_4_174 = all_17_0_13 & sdtasdt0(all_23_0_16, all_0_2_2) = all_96_1_171 & sdtasdt0(all_0_2_2, all_23_0_16) = all_96_5_175 & sdtasdt0(all_0_2_2, xx) = all_96_6_176 & sdtasdt0(xx, all_0_2_2) = all_96_2_172 & sdtasdt0(sz00, all_0_2_2) = all_96_3_173 & sdtpldt0(all_96_2_172, all_96_1_171) = all_96_3_173 & sdtpldt0(all_96_6_176, all_96_5_175) = all_17_0_13) | ( ~ (all_96_6_176 = 0) & aElement0(all_23_0_16) = all_96_6_176)
% 70.77/39.97 |
% 70.77/39.97 +-Applying beta-rule and splitting (218), into two cases.
% 70.77/39.97 |-Branch one:
% 70.77/39.97 | (219) all_96_0_170 = all_96_3_173 & all_96_4_174 = all_17_0_13 & sdtasdt0(all_23_0_16, all_0_2_2) = all_96_1_171 & sdtasdt0(all_0_2_2, all_23_0_16) = all_96_5_175 & sdtasdt0(all_0_2_2, xx) = all_96_6_176 & sdtasdt0(xx, all_0_2_2) = all_96_2_172 & sdtasdt0(sz00, all_0_2_2) = all_96_3_173 & sdtpldt0(all_96_2_172, all_96_1_171) = all_96_3_173 & sdtpldt0(all_96_6_176, all_96_5_175) = all_17_0_13
% 70.77/39.97 |
% 70.77/39.97 | Applying alpha-rule on (219) yields:
% 70.77/39.97 | (220) sdtasdt0(all_0_2_2, xx) = all_96_6_176
% 70.77/39.97 | (221) sdtasdt0(all_0_2_2, all_23_0_16) = all_96_5_175
% 70.77/39.97 | (222) all_96_0_170 = all_96_3_173
% 70.77/39.97 | (223) sdtasdt0(all_23_0_16, all_0_2_2) = all_96_1_171
% 70.77/39.97 | (224) all_96_4_174 = all_17_0_13
% 70.77/39.97 | (225) sdtpldt0(all_96_2_172, all_96_1_171) = all_96_3_173
% 70.77/39.97 | (226) sdtpldt0(all_96_6_176, all_96_5_175) = all_17_0_13
% 70.77/39.97 | (227) sdtasdt0(sz00, all_0_2_2) = all_96_3_173
% 70.77/39.97 | (228) sdtasdt0(xx, all_0_2_2) = all_96_2_172
% 70.77/39.97 |
% 70.77/39.97 +-Applying beta-rule and splitting (167), into two cases.
% 70.77/39.97 |-Branch one:
% 70.77/39.97 | (229) (all_99_0_191 = all_17_0_13 & all_99_3_194 = all_99_6_197 & sdtasdt0(all_23_0_16, all_0_2_2) = all_99_2_193 & sdtasdt0(all_0_2_2, all_23_0_16) = all_99_5_196 & sdtasdt0(all_0_2_2, xx) = all_99_4_195 & sdtasdt0(all_0_2_2, sz00) = all_99_6_197 & sdtasdt0(xx, all_0_2_2) = all_99_1_192 & sdtpldt0(all_99_2_193, all_99_1_192) = all_17_0_13 & sdtpldt0(all_99_5_196, all_99_4_195) = all_99_6_197) | ( ~ (all_99_6_197 = 0) & aElement0(all_23_0_16) = all_99_6_197) | ( ~ (all_99_6_197 = 0) & aElement0(all_0_2_2) = all_99_6_197)
% 70.77/39.97 |
% 70.77/39.97 +-Applying beta-rule and splitting (229), into two cases.
% 70.77/39.97 |-Branch one:
% 70.77/39.97 | (230) (all_99_0_191 = all_17_0_13 & all_99_3_194 = all_99_6_197 & sdtasdt0(all_23_0_16, all_0_2_2) = all_99_2_193 & sdtasdt0(all_0_2_2, all_23_0_16) = all_99_5_196 & sdtasdt0(all_0_2_2, xx) = all_99_4_195 & sdtasdt0(all_0_2_2, sz00) = all_99_6_197 & sdtasdt0(xx, all_0_2_2) = all_99_1_192 & sdtpldt0(all_99_2_193, all_99_1_192) = all_17_0_13 & sdtpldt0(all_99_5_196, all_99_4_195) = all_99_6_197) | ( ~ (all_99_6_197 = 0) & aElement0(all_23_0_16) = all_99_6_197)
% 70.77/39.97 |
% 70.77/39.97 +-Applying beta-rule and splitting (230), into two cases.
% 70.77/39.97 |-Branch one:
% 70.77/39.97 | (231) all_99_0_191 = all_17_0_13 & all_99_3_194 = all_99_6_197 & sdtasdt0(all_23_0_16, all_0_2_2) = all_99_2_193 & sdtasdt0(all_0_2_2, all_23_0_16) = all_99_5_196 & sdtasdt0(all_0_2_2, xx) = all_99_4_195 & sdtasdt0(all_0_2_2, sz00) = all_99_6_197 & sdtasdt0(xx, all_0_2_2) = all_99_1_192 & sdtpldt0(all_99_2_193, all_99_1_192) = all_17_0_13 & sdtpldt0(all_99_5_196, all_99_4_195) = all_99_6_197
% 70.77/39.97 |
% 70.77/39.97 | Applying alpha-rule on (231) yields:
% 70.77/39.97 | (232) sdtasdt0(xx, all_0_2_2) = all_99_1_192
% 70.77/39.97 | (233) sdtasdt0(all_0_2_2, sz00) = all_99_6_197
% 70.77/39.97 | (234) sdtasdt0(all_0_2_2, all_23_0_16) = all_99_5_196
% 70.77/39.97 | (235) all_99_0_191 = all_17_0_13
% 70.77/39.97 | (236) sdtpldt0(all_99_2_193, all_99_1_192) = all_17_0_13
% 70.77/39.97 | (237) sdtpldt0(all_99_5_196, all_99_4_195) = all_99_6_197
% 70.77/39.97 | (238) all_99_3_194 = all_99_6_197
% 70.77/39.97 | (239) sdtasdt0(all_23_0_16, all_0_2_2) = all_99_2_193
% 70.77/39.97 | (240) sdtasdt0(all_0_2_2, xx) = all_99_4_195
% 70.77/39.97 |
% 70.77/39.97 +-Applying beta-rule and splitting (160), into two cases.
% 70.77/39.97 |-Branch one:
% 70.77/39.97 | (241) (all_74_0_58 = all_74_3_61 & all_74_4_62 = xx & sdtasdt0(xx, sz10) = all_74_6_64 & sdtasdt0(xx, sz00) = all_74_5_63 & sdtasdt0(sz10, xx) = all_74_2_60 & sdtasdt0(sz10, xx) = all_74_3_61 & sdtasdt0(sz00, xx) = all_74_1_59 & sdtpldt0(all_74_2_60, all_74_1_59) = all_74_3_61 & sdtpldt0(all_74_6_64, all_74_5_63) = xx) | ( ~ (all_74_6_64 = 0) & aElement0(xx) = all_74_6_64) | ( ~ (all_74_6_64 = 0) & aElement0(sz10) = all_74_6_64)
% 70.77/39.97 |
% 70.77/39.97 +-Applying beta-rule and splitting (241), into two cases.
% 70.77/39.97 |-Branch one:
% 70.77/39.97 | (242) (all_74_0_58 = all_74_3_61 & all_74_4_62 = xx & sdtasdt0(xx, sz10) = all_74_6_64 & sdtasdt0(xx, sz00) = all_74_5_63 & sdtasdt0(sz10, xx) = all_74_2_60 & sdtasdt0(sz10, xx) = all_74_3_61 & sdtasdt0(sz00, xx) = all_74_1_59 & sdtpldt0(all_74_2_60, all_74_1_59) = all_74_3_61 & sdtpldt0(all_74_6_64, all_74_5_63) = xx) | ( ~ (all_74_6_64 = 0) & aElement0(xx) = all_74_6_64)
% 70.77/39.97 |
% 70.77/39.97 +-Applying beta-rule and splitting (242), into two cases.
% 70.77/39.97 |-Branch one:
% 70.77/39.97 | (243) all_74_0_58 = all_74_3_61 & all_74_4_62 = xx & sdtasdt0(xx, sz10) = all_74_6_64 & sdtasdt0(xx, sz00) = all_74_5_63 & sdtasdt0(sz10, xx) = all_74_2_60 & sdtasdt0(sz10, xx) = all_74_3_61 & sdtasdt0(sz00, xx) = all_74_1_59 & sdtpldt0(all_74_2_60, all_74_1_59) = all_74_3_61 & sdtpldt0(all_74_6_64, all_74_5_63) = xx
% 70.77/39.97 |
% 70.77/39.97 | Applying alpha-rule on (243) yields:
% 70.77/39.97 | (244) all_74_4_62 = xx
% 70.77/39.97 | (245) all_74_0_58 = all_74_3_61
% 70.77/39.97 | (246) sdtasdt0(sz10, xx) = all_74_3_61
% 70.77/39.97 | (247) sdtasdt0(sz00, xx) = all_74_1_59
% 70.77/39.97 | (248) sdtasdt0(xx, sz10) = all_74_6_64
% 70.77/39.97 | (249) sdtasdt0(xx, sz00) = all_74_5_63
% 70.77/39.97 | (250) sdtasdt0(sz10, xx) = all_74_2_60
% 70.77/39.97 | (251) sdtpldt0(all_74_6_64, all_74_5_63) = xx
% 70.77/39.97 | (252) sdtpldt0(all_74_2_60, all_74_1_59) = all_74_3_61
% 70.77/39.97 |
% 70.77/39.97 +-Applying beta-rule and splitting (163), into two cases.
% 70.77/39.97 |-Branch one:
% 70.77/39.97 | (253) (all_94_0_157 = all_17_0_13 & all_94_3_160 = all_94_6_163 & sdtasdt0(all_23_0_16, all_0_2_2) = all_94_1_158 & sdtasdt0(all_0_2_2, all_23_0_16) = all_94_4_161 & sdtasdt0(all_0_2_2, xx) = all_94_5_162 & sdtasdt0(all_0_2_2, sz00) = all_94_6_163 & sdtasdt0(xx, all_0_2_2) = all_94_2_159 & sdtpldt0(all_94_2_159, all_94_1_158) = all_17_0_13 & sdtpldt0(all_94_5_162, all_94_4_161) = all_94_6_163) | ( ~ (all_94_6_163 = 0) & aElement0(all_23_0_16) = all_94_6_163) | ( ~ (all_94_6_163 = 0) & aElement0(all_0_2_2) = all_94_6_163)
% 70.77/39.97 |
% 70.77/39.97 +-Applying beta-rule and splitting (253), into two cases.
% 70.77/39.97 |-Branch one:
% 70.77/39.97 | (254) (all_94_0_157 = all_17_0_13 & all_94_3_160 = all_94_6_163 & sdtasdt0(all_23_0_16, all_0_2_2) = all_94_1_158 & sdtasdt0(all_0_2_2, all_23_0_16) = all_94_4_161 & sdtasdt0(all_0_2_2, xx) = all_94_5_162 & sdtasdt0(all_0_2_2, sz00) = all_94_6_163 & sdtasdt0(xx, all_0_2_2) = all_94_2_159 & sdtpldt0(all_94_2_159, all_94_1_158) = all_17_0_13 & sdtpldt0(all_94_5_162, all_94_4_161) = all_94_6_163) | ( ~ (all_94_6_163 = 0) & aElement0(all_23_0_16) = all_94_6_163)
% 70.77/39.97 |
% 70.77/39.97 +-Applying beta-rule and splitting (254), into two cases.
% 70.77/39.97 |-Branch one:
% 70.77/39.97 | (255) all_94_0_157 = all_17_0_13 & all_94_3_160 = all_94_6_163 & sdtasdt0(all_23_0_16, all_0_2_2) = all_94_1_158 & sdtasdt0(all_0_2_2, all_23_0_16) = all_94_4_161 & sdtasdt0(all_0_2_2, xx) = all_94_5_162 & sdtasdt0(all_0_2_2, sz00) = all_94_6_163 & sdtasdt0(xx, all_0_2_2) = all_94_2_159 & sdtpldt0(all_94_2_159, all_94_1_158) = all_17_0_13 & sdtpldt0(all_94_5_162, all_94_4_161) = all_94_6_163
% 70.77/39.97 |
% 70.77/39.97 | Applying alpha-rule on (255) yields:
% 70.77/39.97 | (256) sdtpldt0(all_94_2_159, all_94_1_158) = all_17_0_13
% 70.77/39.97 | (257) all_94_0_157 = all_17_0_13
% 70.77/39.97 | (258) all_94_3_160 = all_94_6_163
% 70.77/39.97 | (259) sdtasdt0(all_0_2_2, all_23_0_16) = all_94_4_161
% 70.77/39.97 | (260) sdtpldt0(all_94_5_162, all_94_4_161) = all_94_6_163
% 70.77/39.97 | (261) sdtasdt0(xx, all_0_2_2) = all_94_2_159
% 70.77/39.97 | (262) sdtasdt0(all_23_0_16, all_0_2_2) = all_94_1_158
% 70.77/39.97 | (263) sdtasdt0(all_0_2_2, sz00) = all_94_6_163
% 70.77/39.97 | (264) sdtasdt0(all_0_2_2, xx) = all_94_5_162
% 70.77/39.97 |
% 70.77/39.97 +-Applying beta-rule and splitting (173), into two cases.
% 70.77/39.97 |-Branch one:
% 70.77/39.97 | (265) (all_107_0_230 = all_107_3_233 & all_107_4_234 = all_17_0_13 & sdtasdt0(all_23_0_16, all_0_2_2) = all_107_2_232 & sdtasdt0(all_0_2_2, all_23_0_16) = all_107_6_236 & sdtasdt0(all_0_2_2, xx) = all_107_5_235 & sdtasdt0(xx, all_0_2_2) = all_107_1_231 & sdtasdt0(sz00, all_0_2_2) = all_107_3_233 & sdtpldt0(all_107_2_232, all_107_1_231) = all_107_3_233 & sdtpldt0(all_107_6_236, all_107_5_235) = all_17_0_13) | ( ~ (all_107_6_236 = 0) & aElement0(all_23_0_16) = all_107_6_236) | ( ~ (all_107_6_236 = 0) & aElement0(all_0_2_2) = all_107_6_236)
% 70.77/39.97 |
% 70.77/39.97 +-Applying beta-rule and splitting (265), into two cases.
% 70.77/39.97 |-Branch one:
% 70.77/39.97 | (266) (all_107_0_230 = all_107_3_233 & all_107_4_234 = all_17_0_13 & sdtasdt0(all_23_0_16, all_0_2_2) = all_107_2_232 & sdtasdt0(all_0_2_2, all_23_0_16) = all_107_6_236 & sdtasdt0(all_0_2_2, xx) = all_107_5_235 & sdtasdt0(xx, all_0_2_2) = all_107_1_231 & sdtasdt0(sz00, all_0_2_2) = all_107_3_233 & sdtpldt0(all_107_2_232, all_107_1_231) = all_107_3_233 & sdtpldt0(all_107_6_236, all_107_5_235) = all_17_0_13) | ( ~ (all_107_6_236 = 0) & aElement0(all_23_0_16) = all_107_6_236)
% 70.77/39.97 |
% 70.77/39.97 +-Applying beta-rule and splitting (266), into two cases.
% 70.77/39.97 |-Branch one:
% 70.77/39.97 | (267) all_107_0_230 = all_107_3_233 & all_107_4_234 = all_17_0_13 & sdtasdt0(all_23_0_16, all_0_2_2) = all_107_2_232 & sdtasdt0(all_0_2_2, all_23_0_16) = all_107_6_236 & sdtasdt0(all_0_2_2, xx) = all_107_5_235 & sdtasdt0(xx, all_0_2_2) = all_107_1_231 & sdtasdt0(sz00, all_0_2_2) = all_107_3_233 & sdtpldt0(all_107_2_232, all_107_1_231) = all_107_3_233 & sdtpldt0(all_107_6_236, all_107_5_235) = all_17_0_13
% 70.77/39.97 |
% 70.77/39.97 | Applying alpha-rule on (267) yields:
% 70.77/39.97 | (268) all_107_4_234 = all_17_0_13
% 70.77/39.97 | (269) sdtasdt0(all_23_0_16, all_0_2_2) = all_107_2_232
% 70.77/39.97 | (270) sdtpldt0(all_107_2_232, all_107_1_231) = all_107_3_233
% 70.77/39.98 | (271) sdtasdt0(all_0_2_2, xx) = all_107_5_235
% 70.77/39.98 | (272) sdtasdt0(xx, all_0_2_2) = all_107_1_231
% 70.77/39.98 | (273) all_107_0_230 = all_107_3_233
% 70.77/39.98 | (274) sdtpldt0(all_107_6_236, all_107_5_235) = all_17_0_13
% 70.77/39.98 | (275) sdtasdt0(all_0_2_2, all_23_0_16) = all_107_6_236
% 70.77/39.98 | (276) sdtasdt0(sz00, all_0_2_2) = all_107_3_233
% 70.77/39.98 |
% 70.77/39.98 +-Applying beta-rule and splitting (184), into two cases.
% 70.77/39.98 |-Branch one:
% 70.77/39.98 | (277) (all_140_0_329 = all_23_0_16 & all_140_3_332 = all_140_6_335 & sdtasdt0(all_0_2_2, xx) = all_140_4_333 & sdtasdt0(all_0_2_2, xx) = all_140_6_335 & sdtasdt0(all_0_2_2, sz00) = all_140_5_334 & sdtasdt0(xx, all_0_2_2) = all_140_1_330 & sdtasdt0(sz00, all_0_2_2) = all_140_2_331 & sdtpldt0(all_140_2_331, all_140_1_330) = all_23_0_16 & sdtpldt0(all_140_5_334, all_140_4_333) = all_140_6_335) | ( ~ (all_140_6_335 = 0) & aElement0(all_0_2_2) = all_140_6_335) | ( ~ (all_140_6_335 = 0) & aElement0(xx) = all_140_6_335)
% 70.77/39.98 |
% 70.77/39.98 +-Applying beta-rule and splitting (277), into two cases.
% 70.77/39.98 |-Branch one:
% 70.77/39.98 | (278) (all_140_0_329 = all_23_0_16 & all_140_3_332 = all_140_6_335 & sdtasdt0(all_0_2_2, xx) = all_140_4_333 & sdtasdt0(all_0_2_2, xx) = all_140_6_335 & sdtasdt0(all_0_2_2, sz00) = all_140_5_334 & sdtasdt0(xx, all_0_2_2) = all_140_1_330 & sdtasdt0(sz00, all_0_2_2) = all_140_2_331 & sdtpldt0(all_140_2_331, all_140_1_330) = all_23_0_16 & sdtpldt0(all_140_5_334, all_140_4_333) = all_140_6_335) | ( ~ (all_140_6_335 = 0) & aElement0(all_0_2_2) = all_140_6_335)
% 70.77/39.98 |
% 70.77/39.98 +-Applying beta-rule and splitting (278), into two cases.
% 70.77/39.98 |-Branch one:
% 70.77/39.98 | (279) all_140_0_329 = all_23_0_16 & all_140_3_332 = all_140_6_335 & sdtasdt0(all_0_2_2, xx) = all_140_4_333 & sdtasdt0(all_0_2_2, xx) = all_140_6_335 & sdtasdt0(all_0_2_2, sz00) = all_140_5_334 & sdtasdt0(xx, all_0_2_2) = all_140_1_330 & sdtasdt0(sz00, all_0_2_2) = all_140_2_331 & sdtpldt0(all_140_2_331, all_140_1_330) = all_23_0_16 & sdtpldt0(all_140_5_334, all_140_4_333) = all_140_6_335
% 70.77/39.98 |
% 70.77/39.98 | Applying alpha-rule on (279) yields:
% 70.77/39.98 | (280) all_140_3_332 = all_140_6_335
% 70.77/39.98 | (281) sdtasdt0(all_0_2_2, xx) = all_140_4_333
% 70.77/39.98 | (282) sdtasdt0(all_0_2_2, sz00) = all_140_5_334
% 70.77/39.98 | (283) sdtasdt0(xx, all_0_2_2) = all_140_1_330
% 70.77/39.98 | (284) sdtasdt0(all_0_2_2, xx) = all_140_6_335
% 70.77/39.98 | (285) sdtpldt0(all_140_2_331, all_140_1_330) = all_23_0_16
% 70.77/39.98 | (286) sdtpldt0(all_140_5_334, all_140_4_333) = all_140_6_335
% 70.77/39.98 | (287) sdtasdt0(sz00, all_0_2_2) = all_140_2_331
% 70.77/39.98 | (288) all_140_0_329 = all_23_0_16
% 70.77/39.98 |
% 70.77/39.98 +-Applying beta-rule and splitting (172), into two cases.
% 70.77/39.98 |-Branch one:
% 70.77/39.98 | (289) (all_106_0_224 = all_106_3_227 & all_106_4_228 = sz00 & sdtasdt0(all_106_5_229, xx) = all_106_3_227 & sdtasdt0(all_0_2_2, xx) = all_106_2_226 & sdtasdt0(xx, all_106_5_229) = sz00 & sdtasdt0(sz10, xx) = all_106_1_225 & sdtpldt0(all_106_2_226, all_106_1_225) = all_106_3_227 & sdtpldt0(all_0_2_2, sz10) = all_106_5_229) | ( ~ (all_106_5_229 = 0) & aElement0(all_0_2_2) = all_106_5_229) | ( ~ (all_106_5_229 = 0) & aElement0(xx) = all_106_5_229)
% 70.77/39.98 |
% 70.77/39.98 +-Applying beta-rule and splitting (289), into two cases.
% 70.77/39.98 |-Branch one:
% 70.77/39.98 | (290) (all_106_0_224 = all_106_3_227 & all_106_4_228 = sz00 & sdtasdt0(all_106_5_229, xx) = all_106_3_227 & sdtasdt0(all_0_2_2, xx) = all_106_2_226 & sdtasdt0(xx, all_106_5_229) = sz00 & sdtasdt0(sz10, xx) = all_106_1_225 & sdtpldt0(all_106_2_226, all_106_1_225) = all_106_3_227 & sdtpldt0(all_0_2_2, sz10) = all_106_5_229) | ( ~ (all_106_5_229 = 0) & aElement0(all_0_2_2) = all_106_5_229)
% 70.77/39.98 |
% 70.77/39.98 +-Applying beta-rule and splitting (290), into two cases.
% 70.77/39.98 |-Branch one:
% 70.77/39.98 | (291) all_106_0_224 = all_106_3_227 & all_106_4_228 = sz00 & sdtasdt0(all_106_5_229, xx) = all_106_3_227 & sdtasdt0(all_0_2_2, xx) = all_106_2_226 & sdtasdt0(xx, all_106_5_229) = sz00 & sdtasdt0(sz10, xx) = all_106_1_225 & sdtpldt0(all_106_2_226, all_106_1_225) = all_106_3_227 & sdtpldt0(all_0_2_2, sz10) = all_106_5_229
% 70.77/39.98 |
% 70.77/39.98 | Applying alpha-rule on (291) yields:
% 70.77/39.98 | (292) sdtpldt0(all_106_2_226, all_106_1_225) = all_106_3_227
% 70.77/39.98 | (293) sdtasdt0(xx, all_106_5_229) = sz00
% 70.77/39.98 | (294) sdtasdt0(all_106_5_229, xx) = all_106_3_227
% 70.77/39.98 | (295) all_106_4_228 = sz00
% 70.77/39.98 | (296) sdtasdt0(all_0_2_2, xx) = all_106_2_226
% 70.77/39.98 | (297) sdtpldt0(all_0_2_2, sz10) = all_106_5_229
% 70.77/39.98 | (298) all_106_0_224 = all_106_3_227
% 70.77/39.98 | (299) sdtasdt0(sz10, xx) = all_106_1_225
% 70.77/39.98 |
% 70.77/39.98 +-Applying beta-rule and splitting (174), into two cases.
% 70.77/39.98 |-Branch one:
% 70.77/39.98 | (300) (all_109_0_239 = all_23_0_16 & sdtasdt0(all_0_2_2, xx) = all_109_1_240 & sdtasdt0(sz10, all_109_1_240) = all_23_0_16) | ( ~ (all_109_1_240 = 0) & aElement0(all_0_2_2) = all_109_1_240) | ( ~ (all_109_1_240 = 0) & aElement0(xx) = all_109_1_240)
% 70.77/39.98 |
% 70.77/39.98 +-Applying beta-rule and splitting (300), into two cases.
% 70.77/39.98 |-Branch one:
% 70.77/39.98 | (301) (all_109_0_239 = all_23_0_16 & sdtasdt0(all_0_2_2, xx) = all_109_1_240 & sdtasdt0(sz10, all_109_1_240) = all_23_0_16) | ( ~ (all_109_1_240 = 0) & aElement0(all_0_2_2) = all_109_1_240)
% 70.77/39.98 |
% 70.77/39.98 +-Applying beta-rule and splitting (301), into two cases.
% 70.77/39.98 |-Branch one:
% 70.77/39.98 | (302) all_109_0_239 = all_23_0_16 & sdtasdt0(all_0_2_2, xx) = all_109_1_240 & sdtasdt0(sz10, all_109_1_240) = all_23_0_16
% 70.77/39.98 |
% 70.77/39.98 | Applying alpha-rule on (302) yields:
% 70.77/39.98 | (303) all_109_0_239 = all_23_0_16
% 70.77/39.98 | (304) sdtasdt0(all_0_2_2, xx) = all_109_1_240
% 70.77/39.98 | (305) sdtasdt0(sz10, all_109_1_240) = all_23_0_16
% 70.77/39.98 |
% 70.77/39.98 +-Applying beta-rule and splitting (175), into two cases.
% 70.77/39.98 |-Branch one:
% 70.77/39.98 | (306) (all_110_0_241 = all_23_0_16 & sdtasdt0(all_110_1_242, sz10) = all_23_0_16 & sdtasdt0(all_0_2_2, xx) = all_110_1_242) | ( ~ (all_110_1_242 = 0) & aElement0(all_0_2_2) = all_110_1_242) | ( ~ (all_110_1_242 = 0) & aElement0(xx) = all_110_1_242)
% 70.77/39.98 |
% 70.77/39.98 +-Applying beta-rule and splitting (306), into two cases.
% 70.77/39.98 |-Branch one:
% 70.77/39.98 | (307) (all_110_0_241 = all_23_0_16 & sdtasdt0(all_110_1_242, sz10) = all_23_0_16 & sdtasdt0(all_0_2_2, xx) = all_110_1_242) | ( ~ (all_110_1_242 = 0) & aElement0(all_0_2_2) = all_110_1_242)
% 70.77/39.98 |
% 70.77/39.98 +-Applying beta-rule and splitting (307), into two cases.
% 70.77/39.98 |-Branch one:
% 70.77/39.98 | (308) all_110_0_241 = all_23_0_16 & sdtasdt0(all_110_1_242, sz10) = all_23_0_16 & sdtasdt0(all_0_2_2, xx) = all_110_1_242
% 70.77/39.98 |
% 70.77/39.98 | Applying alpha-rule on (308) yields:
% 70.77/39.98 | (309) all_110_0_241 = all_23_0_16
% 70.77/39.98 | (310) sdtasdt0(all_110_1_242, sz10) = all_23_0_16
% 70.77/39.98 | (311) sdtasdt0(all_0_2_2, xx) = all_110_1_242
% 70.77/39.98 |
% 70.77/39.98 +-Applying beta-rule and splitting (176), into two cases.
% 70.77/39.98 |-Branch one:
% 70.77/39.98 | (312) (all_111_0_243 = all_23_0_16 & sdtasdt0(all_111_1_244, sz10) = all_23_0_16 & sdtasdt0(xx, all_0_2_2) = all_111_1_244) | ( ~ (all_111_1_244 = 0) & aElement0(all_0_2_2) = all_111_1_244) | ( ~ (all_111_1_244 = 0) & aElement0(xx) = all_111_1_244)
% 70.77/39.98 |
% 70.77/39.98 +-Applying beta-rule and splitting (312), into two cases.
% 70.77/39.98 |-Branch one:
% 70.77/39.98 | (313) (all_111_0_243 = all_23_0_16 & sdtasdt0(all_111_1_244, sz10) = all_23_0_16 & sdtasdt0(xx, all_0_2_2) = all_111_1_244) | ( ~ (all_111_1_244 = 0) & aElement0(all_0_2_2) = all_111_1_244)
% 70.77/39.98 |
% 70.77/39.98 +-Applying beta-rule and splitting (313), into two cases.
% 70.77/39.98 |-Branch one:
% 70.77/39.98 | (314) all_111_0_243 = all_23_0_16 & sdtasdt0(all_111_1_244, sz10) = all_23_0_16 & sdtasdt0(xx, all_0_2_2) = all_111_1_244
% 70.77/39.98 |
% 70.77/39.98 | Applying alpha-rule on (314) yields:
% 70.77/39.98 | (315) all_111_0_243 = all_23_0_16
% 70.77/39.98 | (316) sdtasdt0(all_111_1_244, sz10) = all_23_0_16
% 70.77/39.98 | (317) sdtasdt0(xx, all_0_2_2) = all_111_1_244
% 70.77/39.98 |
% 70.77/39.98 +-Applying beta-rule and splitting (178), into two cases.
% 70.77/39.98 |-Branch one:
% 70.77/39.98 | (318) (all_119_0_257 = sz00 & all_119_3_260 = all_119_6_263 & sdtasdt0(all_23_0_16, sz10) = all_119_1_258 & sdtasdt0(xx, sz10) = all_119_2_259 & sdtasdt0(sz10, all_23_0_16) = all_119_4_261 & sdtasdt0(sz10, xx) = all_119_5_262 & sdtasdt0(sz10, sz00) = all_119_6_263 & sdtpldt0(all_119_2_259, all_119_1_258) = sz00 & sdtpldt0(all_119_5_262, all_119_4_261) = all_119_6_263) | ( ~ (all_119_6_263 = 0) & aElement0(all_23_0_16) = all_119_6_263) | ( ~ (all_119_6_263 = 0) & aElement0(xx) = all_119_6_263)
% 70.77/39.98 |
% 70.77/39.98 +-Applying beta-rule and splitting (318), into two cases.
% 70.77/39.98 |-Branch one:
% 70.77/39.98 | (319) (all_119_0_257 = sz00 & all_119_3_260 = all_119_6_263 & sdtasdt0(all_23_0_16, sz10) = all_119_1_258 & sdtasdt0(xx, sz10) = all_119_2_259 & sdtasdt0(sz10, all_23_0_16) = all_119_4_261 & sdtasdt0(sz10, xx) = all_119_5_262 & sdtasdt0(sz10, sz00) = all_119_6_263 & sdtpldt0(all_119_2_259, all_119_1_258) = sz00 & sdtpldt0(all_119_5_262, all_119_4_261) = all_119_6_263) | ( ~ (all_119_6_263 = 0) & aElement0(all_23_0_16) = all_119_6_263)
% 70.77/39.98 |
% 70.77/39.98 +-Applying beta-rule and splitting (319), into two cases.
% 70.77/39.98 |-Branch one:
% 70.77/39.98 | (320) all_119_0_257 = sz00 & all_119_3_260 = all_119_6_263 & sdtasdt0(all_23_0_16, sz10) = all_119_1_258 & sdtasdt0(xx, sz10) = all_119_2_259 & sdtasdt0(sz10, all_23_0_16) = all_119_4_261 & sdtasdt0(sz10, xx) = all_119_5_262 & sdtasdt0(sz10, sz00) = all_119_6_263 & sdtpldt0(all_119_2_259, all_119_1_258) = sz00 & sdtpldt0(all_119_5_262, all_119_4_261) = all_119_6_263
% 70.77/39.98 |
% 70.77/39.98 | Applying alpha-rule on (320) yields:
% 70.77/39.98 | (321) sdtasdt0(sz10, sz00) = all_119_6_263
% 70.77/39.98 | (322) sdtasdt0(all_23_0_16, sz10) = all_119_1_258
% 70.77/39.98 | (323) sdtasdt0(sz10, all_23_0_16) = all_119_4_261
% 70.77/39.98 | (324) sdtasdt0(sz10, xx) = all_119_5_262
% 70.77/39.98 | (325) sdtpldt0(all_119_5_262, all_119_4_261) = all_119_6_263
% 70.77/39.99 | (326) all_119_0_257 = sz00
% 70.77/39.99 | (327) all_119_3_260 = all_119_6_263
% 70.77/39.99 | (328) sdtasdt0(xx, sz10) = all_119_2_259
% 70.77/39.99 | (329) sdtpldt0(all_119_2_259, all_119_1_258) = sz00
% 70.77/39.99 |
% 70.77/39.99 +-Applying beta-rule and splitting (182), into two cases.
% 70.77/39.99 |-Branch one:
% 70.77/39.99 | (330) all_134_0_318 = sz00 & all_17_0_13 = sz00 & sdtpldt0(sz00, sz00) = sz00
% 70.77/39.99 |
% 70.77/39.99 | Applying alpha-rule on (330) yields:
% 70.77/39.99 | (331) all_134_0_318 = sz00
% 70.77/39.99 | (332) all_17_0_13 = sz00
% 70.77/39.99 | (64) sdtpldt0(sz00, sz00) = sz00
% 70.77/39.99 |
% 70.77/39.99 | From (332) and (192) follows:
% 70.77/39.99 | (334) sdtpldt0(all_23_0_16, sz00) = all_67_1_36
% 70.77/39.99 |
% 70.77/39.99 | From (332) and (124) follows:
% 70.77/39.99 | (9) aElement0(sz00) = 0
% 70.77/39.99 |
% 70.77/39.99 +-Applying beta-rule and splitting (180), into two cases.
% 70.77/39.99 |-Branch one:
% 70.77/39.99 | (336) (all_130_0_290 = xx & all_130_3_293 = all_130_6_296 & sdtasdt0(xx, sz10) = all_130_4_294 & sdtasdt0(xx, sz10) = all_130_6_296 & sdtasdt0(xx, sz00) = all_130_5_295 & sdtasdt0(sz10, xx) = all_130_1_291 & sdtasdt0(sz00, xx) = all_130_2_292 & sdtpldt0(all_130_2_292, all_130_1_291) = xx & sdtpldt0(all_130_5_295, all_130_4_294) = all_130_6_296) | ( ~ (all_130_6_296 = 0) & aElement0(xx) = all_130_6_296) | ( ~ (all_130_6_296 = 0) & aElement0(sz10) = all_130_6_296)
% 70.77/39.99 |
% 70.77/39.99 +-Applying beta-rule and splitting (336), into two cases.
% 70.77/39.99 |-Branch one:
% 70.77/39.99 | (337) (all_130_0_290 = xx & all_130_3_293 = all_130_6_296 & sdtasdt0(xx, sz10) = all_130_4_294 & sdtasdt0(xx, sz10) = all_130_6_296 & sdtasdt0(xx, sz00) = all_130_5_295 & sdtasdt0(sz10, xx) = all_130_1_291 & sdtasdt0(sz00, xx) = all_130_2_292 & sdtpldt0(all_130_2_292, all_130_1_291) = xx & sdtpldt0(all_130_5_295, all_130_4_294) = all_130_6_296) | ( ~ (all_130_6_296 = 0) & aElement0(xx) = all_130_6_296)
% 70.77/39.99 |
% 70.77/39.99 +-Applying beta-rule and splitting (337), into two cases.
% 70.77/39.99 |-Branch one:
% 70.77/39.99 | (338) all_130_0_290 = xx & all_130_3_293 = all_130_6_296 & sdtasdt0(xx, sz10) = all_130_4_294 & sdtasdt0(xx, sz10) = all_130_6_296 & sdtasdt0(xx, sz00) = all_130_5_295 & sdtasdt0(sz10, xx) = all_130_1_291 & sdtasdt0(sz00, xx) = all_130_2_292 & sdtpldt0(all_130_2_292, all_130_1_291) = xx & sdtpldt0(all_130_5_295, all_130_4_294) = all_130_6_296
% 70.77/39.99 |
% 70.77/39.99 | Applying alpha-rule on (338) yields:
% 70.77/39.99 | (339) all_130_0_290 = xx
% 70.77/39.99 | (340) sdtpldt0(all_130_2_292, all_130_1_291) = xx
% 70.77/39.99 | (341) sdtasdt0(sz10, xx) = all_130_1_291
% 70.77/39.99 | (342) sdtpldt0(all_130_5_295, all_130_4_294) = all_130_6_296
% 70.77/39.99 | (343) sdtasdt0(xx, sz10) = all_130_4_294
% 70.77/39.99 | (344) all_130_3_293 = all_130_6_296
% 70.77/39.99 | (345) sdtasdt0(sz00, xx) = all_130_2_292
% 70.77/39.99 | (346) sdtasdt0(xx, sz00) = all_130_5_295
% 70.77/39.99 | (347) sdtasdt0(xx, sz10) = all_130_6_296
% 70.77/39.99 |
% 70.77/39.99 +-Applying beta-rule and splitting (181), into two cases.
% 70.77/39.99 |-Branch one:
% 70.77/39.99 | (348) (all_131_0_297 = all_131_3_300 & all_131_4_301 = xx & sdtasdt0(xx, sz10) = all_131_5_302 & sdtasdt0(xx, sz00) = all_131_6_303 & sdtasdt0(sz10, xx) = all_131_1_298 & sdtasdt0(sz10, xx) = all_131_3_300 & sdtasdt0(sz00, xx) = all_131_2_299 & sdtpldt0(all_131_2_299, all_131_1_298) = all_131_3_300 & sdtpldt0(all_131_6_303, all_131_5_302) = xx) | ( ~ (all_131_6_303 = 0) & aElement0(xx) = all_131_6_303) | ( ~ (all_131_6_303 = 0) & aElement0(sz10) = all_131_6_303)
% 70.77/39.99 |
% 70.77/39.99 +-Applying beta-rule and splitting (348), into two cases.
% 70.77/39.99 |-Branch one:
% 70.77/39.99 | (349) (all_131_0_297 = all_131_3_300 & all_131_4_301 = xx & sdtasdt0(xx, sz10) = all_131_5_302 & sdtasdt0(xx, sz00) = all_131_6_303 & sdtasdt0(sz10, xx) = all_131_1_298 & sdtasdt0(sz10, xx) = all_131_3_300 & sdtasdt0(sz00, xx) = all_131_2_299 & sdtpldt0(all_131_2_299, all_131_1_298) = all_131_3_300 & sdtpldt0(all_131_6_303, all_131_5_302) = xx) | ( ~ (all_131_6_303 = 0) & aElement0(xx) = all_131_6_303)
% 70.77/39.99 |
% 70.77/39.99 +-Applying beta-rule and splitting (349), into two cases.
% 70.77/39.99 |-Branch one:
% 70.77/39.99 | (350) all_131_0_297 = all_131_3_300 & all_131_4_301 = xx & sdtasdt0(xx, sz10) = all_131_5_302 & sdtasdt0(xx, sz00) = all_131_6_303 & sdtasdt0(sz10, xx) = all_131_1_298 & sdtasdt0(sz10, xx) = all_131_3_300 & sdtasdt0(sz00, xx) = all_131_2_299 & sdtpldt0(all_131_2_299, all_131_1_298) = all_131_3_300 & sdtpldt0(all_131_6_303, all_131_5_302) = xx
% 70.77/39.99 |
% 71.11/39.99 | Applying alpha-rule on (350) yields:
% 71.11/39.99 | (351) all_131_4_301 = xx
% 71.11/39.99 | (352) sdtasdt0(xx, sz00) = all_131_6_303
% 71.11/39.99 | (353) sdtasdt0(xx, sz10) = all_131_5_302
% 71.11/39.99 | (354) sdtasdt0(sz10, xx) = all_131_3_300
% 71.11/39.99 | (355) sdtasdt0(sz10, xx) = all_131_1_298
% 71.11/39.99 | (356) sdtasdt0(sz00, xx) = all_131_2_299
% 71.11/39.99 | (357) all_131_0_297 = all_131_3_300
% 71.11/39.99 | (358) sdtpldt0(all_131_2_299, all_131_1_298) = all_131_3_300
% 71.11/39.99 | (359) sdtpldt0(all_131_6_303, all_131_5_302) = xx
% 71.11/39.99 |
% 71.11/39.99 +-Applying beta-rule and splitting (162), into two cases.
% 71.11/39.99 |-Branch one:
% 71.11/39.99 | (360) (all_83_0_110 = all_83_3_113 & all_83_4_114 = all_23_0_16 & sdtasdt0(all_0_2_2, xx) = all_83_6_116 & sdtasdt0(all_0_2_2, sz00) = all_83_5_115 & sdtasdt0(xx, all_0_2_2) = all_83_2_112 & sdtasdt0(xx, all_0_2_2) = all_83_3_113 & sdtasdt0(sz00, all_0_2_2) = all_83_1_111 & sdtpldt0(all_83_2_112, all_83_1_111) = all_83_3_113 & sdtpldt0(all_83_6_116, all_83_5_115) = all_23_0_16) | ( ~ (all_83_6_116 = 0) & aElement0(all_0_2_2) = all_83_6_116) | ( ~ (all_83_6_116 = 0) & aElement0(xx) = all_83_6_116)
% 71.11/39.99 |
% 71.11/39.99 +-Applying beta-rule and splitting (360), into two cases.
% 71.11/39.99 |-Branch one:
% 71.11/39.99 | (361) (all_83_0_110 = all_83_3_113 & all_83_4_114 = all_23_0_16 & sdtasdt0(all_0_2_2, xx) = all_83_6_116 & sdtasdt0(all_0_2_2, sz00) = all_83_5_115 & sdtasdt0(xx, all_0_2_2) = all_83_2_112 & sdtasdt0(xx, all_0_2_2) = all_83_3_113 & sdtasdt0(sz00, all_0_2_2) = all_83_1_111 & sdtpldt0(all_83_2_112, all_83_1_111) = all_83_3_113 & sdtpldt0(all_83_6_116, all_83_5_115) = all_23_0_16) | ( ~ (all_83_6_116 = 0) & aElement0(all_0_2_2) = all_83_6_116)
% 71.11/39.99 |
% 71.11/39.99 +-Applying beta-rule and splitting (361), into two cases.
% 71.11/39.99 |-Branch one:
% 71.11/39.99 | (362) all_83_0_110 = all_83_3_113 & all_83_4_114 = all_23_0_16 & sdtasdt0(all_0_2_2, xx) = all_83_6_116 & sdtasdt0(all_0_2_2, sz00) = all_83_5_115 & sdtasdt0(xx, all_0_2_2) = all_83_2_112 & sdtasdt0(xx, all_0_2_2) = all_83_3_113 & sdtasdt0(sz00, all_0_2_2) = all_83_1_111 & sdtpldt0(all_83_2_112, all_83_1_111) = all_83_3_113 & sdtpldt0(all_83_6_116, all_83_5_115) = all_23_0_16
% 71.11/39.99 |
% 71.11/39.99 | Applying alpha-rule on (362) yields:
% 71.11/39.99 | (363) all_83_0_110 = all_83_3_113
% 71.11/39.99 | (364) all_83_4_114 = all_23_0_16
% 71.11/39.99 | (365) sdtasdt0(all_0_2_2, xx) = all_83_6_116
% 71.11/39.99 | (366) sdtasdt0(sz00, all_0_2_2) = all_83_1_111
% 71.11/39.99 | (367) sdtasdt0(all_0_2_2, sz00) = all_83_5_115
% 71.11/39.99 | (368) sdtasdt0(xx, all_0_2_2) = all_83_3_113
% 71.11/39.99 | (369) sdtpldt0(all_83_2_112, all_83_1_111) = all_83_3_113
% 71.11/39.99 | (370) sdtpldt0(all_83_6_116, all_83_5_115) = all_23_0_16
% 71.11/39.99 | (371) sdtasdt0(xx, all_0_2_2) = all_83_2_112
% 71.11/39.99 |
% 71.11/39.99 +-Applying beta-rule and splitting (168), into two cases.
% 71.11/39.99 |-Branch one:
% 71.11/39.99 | (372) (all_100_0_198 = all_100_3_201 & all_100_4_202 = sz00 & sdtasdt0(all_23_0_16, sz10) = all_100_2_200 & sdtasdt0(xx, sz10) = all_100_1_199 & sdtasdt0(sz10, all_23_0_16) = all_100_6_204 & sdtasdt0(sz10, xx) = all_100_5_203 & sdtasdt0(sz00, sz10) = all_100_3_201 & sdtpldt0(all_100_2_200, all_100_1_199) = all_100_3_201 & sdtpldt0(all_100_6_204, all_100_5_203) = sz00) | ( ~ (all_100_6_204 = 0) & aElement0(all_23_0_16) = all_100_6_204) | ( ~ (all_100_6_204 = 0) & aElement0(xx) = all_100_6_204)
% 71.11/39.99 |
% 71.11/39.99 +-Applying beta-rule and splitting (372), into two cases.
% 71.11/39.99 |-Branch one:
% 71.11/39.99 | (373) (all_100_0_198 = all_100_3_201 & all_100_4_202 = sz00 & sdtasdt0(all_23_0_16, sz10) = all_100_2_200 & sdtasdt0(xx, sz10) = all_100_1_199 & sdtasdt0(sz10, all_23_0_16) = all_100_6_204 & sdtasdt0(sz10, xx) = all_100_5_203 & sdtasdt0(sz00, sz10) = all_100_3_201 & sdtpldt0(all_100_2_200, all_100_1_199) = all_100_3_201 & sdtpldt0(all_100_6_204, all_100_5_203) = sz00) | ( ~ (all_100_6_204 = 0) & aElement0(all_23_0_16) = all_100_6_204)
% 71.11/39.99 |
% 71.11/39.99 +-Applying beta-rule and splitting (373), into two cases.
% 71.11/39.99 |-Branch one:
% 71.11/39.99 | (374) all_100_0_198 = all_100_3_201 & all_100_4_202 = sz00 & sdtasdt0(all_23_0_16, sz10) = all_100_2_200 & sdtasdt0(xx, sz10) = all_100_1_199 & sdtasdt0(sz10, all_23_0_16) = all_100_6_204 & sdtasdt0(sz10, xx) = all_100_5_203 & sdtasdt0(sz00, sz10) = all_100_3_201 & sdtpldt0(all_100_2_200, all_100_1_199) = all_100_3_201 & sdtpldt0(all_100_6_204, all_100_5_203) = sz00
% 71.11/39.99 |
% 71.11/39.99 | Applying alpha-rule on (374) yields:
% 71.11/39.99 | (375) sdtasdt0(all_23_0_16, sz10) = all_100_2_200
% 71.11/39.99 | (376) sdtpldt0(all_100_6_204, all_100_5_203) = sz00
% 71.11/39.99 | (377) sdtasdt0(sz10, xx) = all_100_5_203
% 71.11/39.99 | (378) all_100_0_198 = all_100_3_201
% 71.11/39.99 | (379) all_100_4_202 = sz00
% 71.11/39.99 | (380) sdtpldt0(all_100_2_200, all_100_1_199) = all_100_3_201
% 71.11/39.99 | (381) sdtasdt0(xx, sz10) = all_100_1_199
% 71.11/39.99 | (382) sdtasdt0(sz00, sz10) = all_100_3_201
% 71.11/39.99 | (383) sdtasdt0(sz10, all_23_0_16) = all_100_6_204
% 71.11/39.99 |
% 71.11/39.99 +-Applying beta-rule and splitting (169), into two cases.
% 71.11/39.99 |-Branch one:
% 71.11/39.99 | (384) (all_103_0_209 = all_23_0_16 & sdtasdt0(xx, all_0_2_2) = all_103_1_210 & sdtasdt0(sz10, all_103_1_210) = all_23_0_16) | ( ~ (all_103_1_210 = 0) & aElement0(all_0_2_2) = all_103_1_210) | ( ~ (all_103_1_210 = 0) & aElement0(xx) = all_103_1_210)
% 71.11/39.99 |
% 71.11/39.99 +-Applying beta-rule and splitting (384), into two cases.
% 71.11/39.99 |-Branch one:
% 71.11/39.99 | (385) (all_103_0_209 = all_23_0_16 & sdtasdt0(xx, all_0_2_2) = all_103_1_210 & sdtasdt0(sz10, all_103_1_210) = all_23_0_16) | ( ~ (all_103_1_210 = 0) & aElement0(all_0_2_2) = all_103_1_210)
% 71.11/40.00 |
% 71.11/40.00 +-Applying beta-rule and splitting (385), into two cases.
% 71.11/40.00 |-Branch one:
% 71.11/40.00 | (386) all_103_0_209 = all_23_0_16 & sdtasdt0(xx, all_0_2_2) = all_103_1_210 & sdtasdt0(sz10, all_103_1_210) = all_23_0_16
% 71.11/40.00 |
% 71.11/40.00 | Applying alpha-rule on (386) yields:
% 71.11/40.00 | (387) all_103_0_209 = all_23_0_16
% 71.11/40.00 | (388) sdtasdt0(xx, all_0_2_2) = all_103_1_210
% 71.11/40.00 | (389) sdtasdt0(sz10, all_103_1_210) = all_23_0_16
% 71.11/40.00 |
% 71.11/40.00 +-Applying beta-rule and splitting (159), into two cases.
% 71.11/40.00 |-Branch one:
% 71.11/40.00 | (390) (all_73_0_51 = xx & all_73_3_54 = all_73_6_57 & sdtasdt0(xx, sz10) = all_73_5_56 & sdtasdt0(xx, sz10) = all_73_6_57 & sdtasdt0(xx, sz00) = all_73_4_55 & sdtasdt0(sz10, xx) = all_73_2_53 & sdtasdt0(sz00, xx) = all_73_1_52 & sdtpldt0(all_73_2_53, all_73_1_52) = xx & sdtpldt0(all_73_5_56, all_73_4_55) = all_73_6_57) | ( ~ (all_73_6_57 = 0) & aElement0(xx) = all_73_6_57) | ( ~ (all_73_6_57 = 0) & aElement0(sz10) = all_73_6_57)
% 71.11/40.00 |
% 71.11/40.00 +-Applying beta-rule and splitting (390), into two cases.
% 71.11/40.00 |-Branch one:
% 71.11/40.00 | (391) (all_73_0_51 = xx & all_73_3_54 = all_73_6_57 & sdtasdt0(xx, sz10) = all_73_5_56 & sdtasdt0(xx, sz10) = all_73_6_57 & sdtasdt0(xx, sz00) = all_73_4_55 & sdtasdt0(sz10, xx) = all_73_2_53 & sdtasdt0(sz00, xx) = all_73_1_52 & sdtpldt0(all_73_2_53, all_73_1_52) = xx & sdtpldt0(all_73_5_56, all_73_4_55) = all_73_6_57) | ( ~ (all_73_6_57 = 0) & aElement0(xx) = all_73_6_57)
% 71.11/40.00 |
% 71.11/40.00 +-Applying beta-rule and splitting (391), into two cases.
% 71.11/40.00 |-Branch one:
% 71.11/40.00 | (392) all_73_0_51 = xx & all_73_3_54 = all_73_6_57 & sdtasdt0(xx, sz10) = all_73_5_56 & sdtasdt0(xx, sz10) = all_73_6_57 & sdtasdt0(xx, sz00) = all_73_4_55 & sdtasdt0(sz10, xx) = all_73_2_53 & sdtasdt0(sz00, xx) = all_73_1_52 & sdtpldt0(all_73_2_53, all_73_1_52) = xx & sdtpldt0(all_73_5_56, all_73_4_55) = all_73_6_57
% 71.11/40.00 |
% 71.11/40.00 | Applying alpha-rule on (392) yields:
% 71.11/40.00 | (393) sdtasdt0(xx, sz10) = all_73_5_56
% 71.11/40.00 | (394) sdtasdt0(sz00, xx) = all_73_1_52
% 71.11/40.00 | (395) sdtasdt0(xx, sz10) = all_73_6_57
% 71.11/40.00 | (396) sdtasdt0(xx, sz00) = all_73_4_55
% 71.11/40.00 | (397) sdtpldt0(all_73_5_56, all_73_4_55) = all_73_6_57
% 71.11/40.00 | (398) all_73_3_54 = all_73_6_57
% 71.11/40.00 | (399) sdtasdt0(sz10, xx) = all_73_2_53
% 71.11/40.00 | (400) sdtpldt0(all_73_2_53, all_73_1_52) = xx
% 71.11/40.00 | (401) all_73_0_51 = xx
% 71.11/40.00 |
% 71.11/40.00 +-Applying beta-rule and splitting (161), into two cases.
% 71.11/40.00 |-Branch one:
% 71.11/40.00 | (402) (all_82_0_103 = all_23_0_16 & all_82_3_106 = all_82_6_109 & sdtasdt0(all_0_2_2, xx) = all_82_5_108 & sdtasdt0(all_0_2_2, xx) = all_82_6_109 & sdtasdt0(all_0_2_2, sz00) = all_82_4_107 & sdtasdt0(xx, all_0_2_2) = all_82_2_105 & sdtasdt0(sz00, all_0_2_2) = all_82_1_104 & sdtpldt0(all_82_2_105, all_82_1_104) = all_23_0_16 & sdtpldt0(all_82_5_108, all_82_4_107) = all_82_6_109) | ( ~ (all_82_6_109 = 0) & aElement0(all_0_2_2) = all_82_6_109) | ( ~ (all_82_6_109 = 0) & aElement0(xx) = all_82_6_109)
% 71.11/40.00 |
% 71.11/40.00 +-Applying beta-rule and splitting (402), into two cases.
% 71.11/40.00 |-Branch one:
% 71.11/40.00 | (403) (all_82_0_103 = all_23_0_16 & all_82_3_106 = all_82_6_109 & sdtasdt0(all_0_2_2, xx) = all_82_5_108 & sdtasdt0(all_0_2_2, xx) = all_82_6_109 & sdtasdt0(all_0_2_2, sz00) = all_82_4_107 & sdtasdt0(xx, all_0_2_2) = all_82_2_105 & sdtasdt0(sz00, all_0_2_2) = all_82_1_104 & sdtpldt0(all_82_2_105, all_82_1_104) = all_23_0_16 & sdtpldt0(all_82_5_108, all_82_4_107) = all_82_6_109) | ( ~ (all_82_6_109 = 0) & aElement0(all_0_2_2) = all_82_6_109)
% 71.11/40.00 |
% 71.11/40.00 +-Applying beta-rule and splitting (403), into two cases.
% 71.11/40.00 |-Branch one:
% 71.11/40.00 | (404) all_82_0_103 = all_23_0_16 & all_82_3_106 = all_82_6_109 & sdtasdt0(all_0_2_2, xx) = all_82_5_108 & sdtasdt0(all_0_2_2, xx) = all_82_6_109 & sdtasdt0(all_0_2_2, sz00) = all_82_4_107 & sdtasdt0(xx, all_0_2_2) = all_82_2_105 & sdtasdt0(sz00, all_0_2_2) = all_82_1_104 & sdtpldt0(all_82_2_105, all_82_1_104) = all_23_0_16 & sdtpldt0(all_82_5_108, all_82_4_107) = all_82_6_109
% 71.11/40.00 |
% 71.11/40.00 | Applying alpha-rule on (404) yields:
% 71.11/40.00 | (405) sdtasdt0(all_0_2_2, xx) = all_82_5_108
% 71.11/40.00 | (406) sdtpldt0(all_82_5_108, all_82_4_107) = all_82_6_109
% 71.11/40.00 | (407) sdtpldt0(all_82_2_105, all_82_1_104) = all_23_0_16
% 71.11/40.00 | (408) sdtasdt0(sz00, all_0_2_2) = all_82_1_104
% 71.11/40.00 | (409) sdtasdt0(xx, all_0_2_2) = all_82_2_105
% 71.11/40.00 | (410) sdtasdt0(all_0_2_2, sz00) = all_82_4_107
% 71.11/40.00 | (411) all_82_0_103 = all_23_0_16
% 71.11/40.00 | (412) all_82_3_106 = all_82_6_109
% 71.11/40.00 | (413) sdtasdt0(all_0_2_2, xx) = all_82_6_109
% 71.11/40.00 |
% 71.11/40.00 +-Applying beta-rule and splitting (170), into two cases.
% 71.11/40.00 |-Branch one:
% 71.11/40.00 | (414) (all_104_0_211 = sz00 & all_104_3_214 = all_104_6_217 & sdtasdt0(all_23_0_16, sz10) = all_104_2_213 & sdtasdt0(xx, sz10) = all_104_1_212 & sdtasdt0(sz10, all_23_0_16) = all_104_5_216 & sdtasdt0(sz10, xx) = all_104_4_215 & sdtasdt0(sz10, sz00) = all_104_6_217 & sdtpldt0(all_104_2_213, all_104_1_212) = sz00 & sdtpldt0(all_104_5_216, all_104_4_215) = all_104_6_217) | ( ~ (all_104_6_217 = 0) & aElement0(all_23_0_16) = all_104_6_217) | ( ~ (all_104_6_217 = 0) & aElement0(xx) = all_104_6_217)
% 71.11/40.00 |
% 71.11/40.00 +-Applying beta-rule and splitting (414), into two cases.
% 71.11/40.00 |-Branch one:
% 71.11/40.00 | (415) (all_104_0_211 = sz00 & all_104_3_214 = all_104_6_217 & sdtasdt0(all_23_0_16, sz10) = all_104_2_213 & sdtasdt0(xx, sz10) = all_104_1_212 & sdtasdt0(sz10, all_23_0_16) = all_104_5_216 & sdtasdt0(sz10, xx) = all_104_4_215 & sdtasdt0(sz10, sz00) = all_104_6_217 & sdtpldt0(all_104_2_213, all_104_1_212) = sz00 & sdtpldt0(all_104_5_216, all_104_4_215) = all_104_6_217) | ( ~ (all_104_6_217 = 0) & aElement0(all_23_0_16) = all_104_6_217)
% 71.11/40.00 |
% 71.11/40.00 +-Applying beta-rule and splitting (415), into two cases.
% 71.11/40.00 |-Branch one:
% 71.11/40.00 | (416) all_104_0_211 = sz00 & all_104_3_214 = all_104_6_217 & sdtasdt0(all_23_0_16, sz10) = all_104_2_213 & sdtasdt0(xx, sz10) = all_104_1_212 & sdtasdt0(sz10, all_23_0_16) = all_104_5_216 & sdtasdt0(sz10, xx) = all_104_4_215 & sdtasdt0(sz10, sz00) = all_104_6_217 & sdtpldt0(all_104_2_213, all_104_1_212) = sz00 & sdtpldt0(all_104_5_216, all_104_4_215) = all_104_6_217
% 71.11/40.00 |
% 71.11/40.00 | Applying alpha-rule on (416) yields:
% 71.11/40.00 | (417) sdtasdt0(sz10, xx) = all_104_4_215
% 71.11/40.00 | (418) all_104_3_214 = all_104_6_217
% 71.11/40.00 | (419) sdtasdt0(xx, sz10) = all_104_1_212
% 71.11/40.00 | (420) sdtasdt0(all_23_0_16, sz10) = all_104_2_213
% 71.11/40.00 | (421) sdtpldt0(all_104_2_213, all_104_1_212) = sz00
% 71.11/40.00 | (422) all_104_0_211 = sz00
% 71.11/40.00 | (423) sdtasdt0(sz10, all_23_0_16) = all_104_5_216
% 71.11/40.00 | (424) sdtasdt0(sz10, sz00) = all_104_6_217
% 71.11/40.00 | (425) sdtpldt0(all_104_5_216, all_104_4_215) = all_104_6_217
% 71.11/40.00 |
% 71.11/40.00 +-Applying beta-rule and splitting (177), into two cases.
% 71.11/40.00 |-Branch one:
% 71.11/40.00 | (426) (all_113_0_247 = sz00 & all_113_1_248 = all_113_4_251 & sdtasdt0(all_113_5_252, xx) = sz00 & sdtasdt0(xx, all_113_5_252) = all_113_4_251 & sdtasdt0(xx, all_0_2_2) = all_113_2_249 & sdtasdt0(xx, sz10) = all_113_3_250 & sdtpldt0(all_113_3_250, all_113_2_249) = all_113_4_251 & sdtpldt0(sz10, all_0_2_2) = all_113_5_252) | ( ~ (all_113_5_252 = 0) & aElement0(all_0_2_2) = all_113_5_252) | ( ~ (all_113_5_252 = 0) & aElement0(xx) = all_113_5_252)
% 71.11/40.00 |
% 71.11/40.00 +-Applying beta-rule and splitting (426), into two cases.
% 71.11/40.00 |-Branch one:
% 71.11/40.00 | (427) (all_113_0_247 = sz00 & all_113_1_248 = all_113_4_251 & sdtasdt0(all_113_5_252, xx) = sz00 & sdtasdt0(xx, all_113_5_252) = all_113_4_251 & sdtasdt0(xx, all_0_2_2) = all_113_2_249 & sdtasdt0(xx, sz10) = all_113_3_250 & sdtpldt0(all_113_3_250, all_113_2_249) = all_113_4_251 & sdtpldt0(sz10, all_0_2_2) = all_113_5_252) | ( ~ (all_113_5_252 = 0) & aElement0(all_0_2_2) = all_113_5_252)
% 71.11/40.00 |
% 71.11/40.00 +-Applying beta-rule and splitting (427), into two cases.
% 71.11/40.00 |-Branch one:
% 71.11/40.00 | (428) all_113_0_247 = sz00 & all_113_1_248 = all_113_4_251 & sdtasdt0(all_113_5_252, xx) = sz00 & sdtasdt0(xx, all_113_5_252) = all_113_4_251 & sdtasdt0(xx, all_0_2_2) = all_113_2_249 & sdtasdt0(xx, sz10) = all_113_3_250 & sdtpldt0(all_113_3_250, all_113_2_249) = all_113_4_251 & sdtpldt0(sz10, all_0_2_2) = all_113_5_252
% 71.11/40.00 |
% 71.11/40.00 | Applying alpha-rule on (428) yields:
% 71.11/40.00 | (429) sdtpldt0(sz10, all_0_2_2) = all_113_5_252
% 71.11/40.00 | (430) sdtasdt0(xx, all_0_2_2) = all_113_2_249
% 71.11/40.00 | (431) sdtasdt0(xx, all_113_5_252) = all_113_4_251
% 71.11/40.00 | (432) all_113_1_248 = all_113_4_251
% 71.11/40.00 | (433) sdtasdt0(all_113_5_252, xx) = sz00
% 71.11/40.00 | (434) sdtpldt0(all_113_3_250, all_113_2_249) = all_113_4_251
% 71.11/40.00 | (435) all_113_0_247 = sz00
% 71.11/40.00 | (436) sdtasdt0(xx, sz10) = all_113_3_250
% 71.11/40.00 |
% 71.11/40.00 +-Applying beta-rule and splitting (171), into two cases.
% 71.11/40.00 |-Branch one:
% 71.11/40.00 | (437) (all_105_0_218 = sz00 & all_105_1_219 = all_105_4_222 & sdtasdt0(all_105_5_223, xx) = sz00 & sdtasdt0(xx, all_105_5_223) = all_105_4_222 & sdtasdt0(xx, all_0_2_2) = all_105_3_221 & sdtasdt0(xx, sz10) = all_105_2_220 & sdtpldt0(all_105_3_221, all_105_2_220) = all_105_4_222 & sdtpldt0(all_0_2_2, sz10) = all_105_5_223) | ( ~ (all_105_5_223 = 0) & aElement0(all_0_2_2) = all_105_5_223) | ( ~ (all_105_5_223 = 0) & aElement0(xx) = all_105_5_223)
% 71.11/40.00 |
% 71.11/40.00 +-Applying beta-rule and splitting (437), into two cases.
% 71.11/40.00 |-Branch one:
% 71.11/40.00 | (438) (all_105_0_218 = sz00 & all_105_1_219 = all_105_4_222 & sdtasdt0(all_105_5_223, xx) = sz00 & sdtasdt0(xx, all_105_5_223) = all_105_4_222 & sdtasdt0(xx, all_0_2_2) = all_105_3_221 & sdtasdt0(xx, sz10) = all_105_2_220 & sdtpldt0(all_105_3_221, all_105_2_220) = all_105_4_222 & sdtpldt0(all_0_2_2, sz10) = all_105_5_223) | ( ~ (all_105_5_223 = 0) & aElement0(all_0_2_2) = all_105_5_223)
% 71.11/40.00 |
% 71.11/40.00 +-Applying beta-rule and splitting (438), into two cases.
% 71.11/40.00 |-Branch one:
% 71.11/40.00 | (439) all_105_0_218 = sz00 & all_105_1_219 = all_105_4_222 & sdtasdt0(all_105_5_223, xx) = sz00 & sdtasdt0(xx, all_105_5_223) = all_105_4_222 & sdtasdt0(xx, all_0_2_2) = all_105_3_221 & sdtasdt0(xx, sz10) = all_105_2_220 & sdtpldt0(all_105_3_221, all_105_2_220) = all_105_4_222 & sdtpldt0(all_0_2_2, sz10) = all_105_5_223
% 71.11/40.01 |
% 71.11/40.01 | Applying alpha-rule on (439) yields:
% 71.11/40.01 | (440) sdtasdt0(xx, sz10) = all_105_2_220
% 71.11/40.01 | (441) sdtasdt0(all_105_5_223, xx) = sz00
% 71.11/40.01 | (442) sdtpldt0(all_105_3_221, all_105_2_220) = all_105_4_222
% 71.11/40.01 | (443) sdtasdt0(xx, all_0_2_2) = all_105_3_221
% 71.11/40.01 | (444) all_105_0_218 = sz00
% 71.11/40.01 | (445) sdtpldt0(all_0_2_2, sz10) = all_105_5_223
% 71.11/40.01 | (446) all_105_1_219 = all_105_4_222
% 71.11/40.01 | (447) sdtasdt0(xx, all_105_5_223) = all_105_4_222
% 71.11/40.01 |
% 71.11/40.01 +-Applying beta-rule and splitting (183), into two cases.
% 71.11/40.01 |-Branch one:
% 71.11/40.01 | (448) (all_136_0_321 = sz00 & sdtpldt0(all_136_1_322, xx) = sz00 & sdtpldt0(all_23_0_16, sz00) = all_136_1_322) | ( ~ (all_136_1_322 = 0) & aElement0(all_23_0_16) = all_136_1_322) | ( ~ (all_136_1_322 = 0) & aElement0(xx) = all_136_1_322)
% 71.11/40.01 |
% 71.11/40.01 +-Applying beta-rule and splitting (448), into two cases.
% 71.11/40.01 |-Branch one:
% 71.11/40.01 | (449) (all_136_0_321 = sz00 & sdtpldt0(all_136_1_322, xx) = sz00 & sdtpldt0(all_23_0_16, sz00) = all_136_1_322) | ( ~ (all_136_1_322 = 0) & aElement0(all_23_0_16) = all_136_1_322)
% 71.11/40.01 |
% 71.11/40.01 +-Applying beta-rule and splitting (449), into two cases.
% 71.11/40.01 |-Branch one:
% 71.11/40.01 | (450) all_136_0_321 = sz00 & sdtpldt0(all_136_1_322, xx) = sz00 & sdtpldt0(all_23_0_16, sz00) = all_136_1_322
% 71.11/40.01 |
% 71.11/40.01 | Applying alpha-rule on (450) yields:
% 71.11/40.01 | (451) all_136_0_321 = sz00
% 71.11/40.01 | (452) sdtpldt0(all_136_1_322, xx) = sz00
% 71.11/40.01 | (453) sdtpldt0(all_23_0_16, sz00) = all_136_1_322
% 71.11/40.01 |
% 71.11/40.01 +-Applying beta-rule and splitting (179), into two cases.
% 71.11/40.01 |-Branch one:
% 71.11/40.01 | (454) (all_127_0_275 = sz00 & sdtpldt0(all_23_0_16, sz00) = all_127_1_276 & sdtpldt0(xx, all_127_1_276) = sz00) | ( ~ (all_127_1_276 = 0) & aElement0(all_23_0_16) = all_127_1_276) | ( ~ (all_127_1_276 = 0) & aElement0(xx) = all_127_1_276)
% 71.11/40.01 |
% 71.11/40.01 +-Applying beta-rule and splitting (454), into two cases.
% 71.11/40.01 |-Branch one:
% 71.11/40.01 | (455) (all_127_0_275 = sz00 & sdtpldt0(all_23_0_16, sz00) = all_127_1_276 & sdtpldt0(xx, all_127_1_276) = sz00) | ( ~ (all_127_1_276 = 0) & aElement0(all_23_0_16) = all_127_1_276)
% 71.11/40.01 |
% 71.11/40.01 +-Applying beta-rule and splitting (455), into two cases.
% 71.11/40.01 |-Branch one:
% 71.11/40.01 | (456) all_127_0_275 = sz00 & sdtpldt0(all_23_0_16, sz00) = all_127_1_276 & sdtpldt0(xx, all_127_1_276) = sz00
% 71.11/40.01 |
% 71.11/40.01 | Applying alpha-rule on (456) yields:
% 71.11/40.01 | (457) all_127_0_275 = sz00
% 71.11/40.01 | (458) sdtpldt0(all_23_0_16, sz00) = all_127_1_276
% 71.11/40.01 | (459) sdtpldt0(xx, all_127_1_276) = sz00
% 71.11/40.01 |
% 71.11/40.01 +-Applying beta-rule and splitting (185), into two cases.
% 71.11/40.01 |-Branch one:
% 71.11/40.01 | (460) (all_143_0_345 = all_143_3_348 & all_143_4_349 = sz00 & sdtasdt0(all_143_5_350, sz00) = all_143_3_348 & sdtasdt0(all_0_2_2, sz00) = all_143_2_347 & sdtasdt0(sz10, sz00) = all_143_1_346 & sdtasdt0(sz00, all_143_5_350) = sz00 & sdtpldt0(all_143_2_347, all_143_1_346) = all_143_3_348 & sdtpldt0(all_0_2_2, sz10) = all_143_5_350) | ( ~ (all_143_5_350 = 0) & aElement0(all_0_2_2) = all_143_5_350) | ( ~ (all_143_5_350 = 0) & aElement0(sz10) = all_143_5_350)
% 71.11/40.01 |
% 71.11/40.01 +-Applying beta-rule and splitting (460), into two cases.
% 71.11/40.01 |-Branch one:
% 71.11/40.01 | (461) (all_143_0_345 = all_143_3_348 & all_143_4_349 = sz00 & sdtasdt0(all_143_5_350, sz00) = all_143_3_348 & sdtasdt0(all_0_2_2, sz00) = all_143_2_347 & sdtasdt0(sz10, sz00) = all_143_1_346 & sdtasdt0(sz00, all_143_5_350) = sz00 & sdtpldt0(all_143_2_347, all_143_1_346) = all_143_3_348 & sdtpldt0(all_0_2_2, sz10) = all_143_5_350) | ( ~ (all_143_5_350 = 0) & aElement0(all_0_2_2) = all_143_5_350)
% 71.11/40.01 |
% 71.11/40.01 +-Applying beta-rule and splitting (461), into two cases.
% 71.11/40.01 |-Branch one:
% 71.11/40.01 | (462) all_143_0_345 = all_143_3_348 & all_143_4_349 = sz00 & sdtasdt0(all_143_5_350, sz00) = all_143_3_348 & sdtasdt0(all_0_2_2, sz00) = all_143_2_347 & sdtasdt0(sz10, sz00) = all_143_1_346 & sdtasdt0(sz00, all_143_5_350) = sz00 & sdtpldt0(all_143_2_347, all_143_1_346) = all_143_3_348 & sdtpldt0(all_0_2_2, sz10) = all_143_5_350
% 71.11/40.01 |
% 71.11/40.01 | Applying alpha-rule on (462) yields:
% 71.11/40.01 | (463) sdtpldt0(all_143_2_347, all_143_1_346) = all_143_3_348
% 71.11/40.01 | (464) all_143_4_349 = sz00
% 71.11/40.01 | (465) all_143_0_345 = all_143_3_348
% 71.11/40.01 | (466) sdtasdt0(sz00, all_143_5_350) = sz00
% 71.11/40.01 | (467) sdtasdt0(all_0_2_2, sz00) = all_143_2_347
% 71.11/40.01 | (468) sdtasdt0(sz10, sz00) = all_143_1_346
% 71.11/40.01 | (469) sdtasdt0(all_143_5_350, sz00) = all_143_3_348
% 71.11/40.01 | (470) sdtpldt0(all_0_2_2, sz10) = all_143_5_350
% 71.11/40.01 |
% 71.11/40.01 +-Applying beta-rule and splitting (186), into two cases.
% 71.11/40.01 |-Branch one:
% 71.11/40.01 | (471) (all_151_0_390 = all_151_3_393 & all_151_4_394 = all_23_0_16 & sdtasdt0(all_0_2_2, xx) = all_151_5_395 & sdtasdt0(all_0_2_2, sz00) = all_151_6_396 & sdtasdt0(xx, all_0_2_2) = all_151_1_391 & sdtasdt0(xx, all_0_2_2) = all_151_3_393 & sdtasdt0(sz00, all_0_2_2) = all_151_2_392 & sdtpldt0(all_151_2_392, all_151_1_391) = all_151_3_393 & sdtpldt0(all_151_6_396, all_151_5_395) = all_23_0_16) | ( ~ (all_151_6_396 = 0) & aElement0(all_0_2_2) = all_151_6_396) | ( ~ (all_151_6_396 = 0) & aElement0(xx) = all_151_6_396)
% 71.11/40.01 |
% 71.11/40.01 +-Applying beta-rule and splitting (471), into two cases.
% 71.11/40.01 |-Branch one:
% 71.11/40.01 | (472) (all_151_0_390 = all_151_3_393 & all_151_4_394 = all_23_0_16 & sdtasdt0(all_0_2_2, xx) = all_151_5_395 & sdtasdt0(all_0_2_2, sz00) = all_151_6_396 & sdtasdt0(xx, all_0_2_2) = all_151_1_391 & sdtasdt0(xx, all_0_2_2) = all_151_3_393 & sdtasdt0(sz00, all_0_2_2) = all_151_2_392 & sdtpldt0(all_151_2_392, all_151_1_391) = all_151_3_393 & sdtpldt0(all_151_6_396, all_151_5_395) = all_23_0_16) | ( ~ (all_151_6_396 = 0) & aElement0(all_0_2_2) = all_151_6_396)
% 71.11/40.01 |
% 71.11/40.01 +-Applying beta-rule and splitting (472), into two cases.
% 71.11/40.01 |-Branch one:
% 71.11/40.01 | (473) all_151_0_390 = all_151_3_393 & all_151_4_394 = all_23_0_16 & sdtasdt0(all_0_2_2, xx) = all_151_5_395 & sdtasdt0(all_0_2_2, sz00) = all_151_6_396 & sdtasdt0(xx, all_0_2_2) = all_151_1_391 & sdtasdt0(xx, all_0_2_2) = all_151_3_393 & sdtasdt0(sz00, all_0_2_2) = all_151_2_392 & sdtpldt0(all_151_2_392, all_151_1_391) = all_151_3_393 & sdtpldt0(all_151_6_396, all_151_5_395) = all_23_0_16
% 71.11/40.01 |
% 71.11/40.01 | Applying alpha-rule on (473) yields:
% 71.11/40.01 | (474) all_151_0_390 = all_151_3_393
% 71.11/40.01 | (475) sdtpldt0(all_151_2_392, all_151_1_391) = all_151_3_393
% 71.11/40.01 | (476) sdtasdt0(sz00, all_0_2_2) = all_151_2_392
% 71.11/40.01 | (477) sdtasdt0(xx, all_0_2_2) = all_151_1_391
% 71.11/40.01 | (478) sdtpldt0(all_151_6_396, all_151_5_395) = all_23_0_16
% 71.11/40.01 | (479) sdtasdt0(all_0_2_2, sz00) = all_151_6_396
% 71.11/40.01 | (480) all_151_4_394 = all_23_0_16
% 71.11/40.01 | (481) sdtasdt0(xx, all_0_2_2) = all_151_3_393
% 71.11/40.01 | (482) sdtasdt0(all_0_2_2, xx) = all_151_5_395
% 71.11/40.01 |
% 71.11/40.01 +-Applying beta-rule and splitting (187), into two cases.
% 71.11/40.01 |-Branch one:
% 71.11/40.01 | (483) (all_164_0_445 = sz00 & all_164_1_446 = all_164_4_449 & sdtasdt0(all_164_5_450, sz00) = sz00 & sdtasdt0(sz00, all_164_5_450) = all_164_4_449 & sdtasdt0(sz00, all_0_2_2) = all_164_3_448 & sdtasdt0(sz00, sz10) = all_164_2_447 & sdtpldt0(all_164_3_448, all_164_2_447) = all_164_4_449 & sdtpldt0(all_0_2_2, sz10) = all_164_5_450) | ( ~ (all_164_5_450 = 0) & aElement0(all_0_2_2) = all_164_5_450) | ( ~ (all_164_5_450 = 0) & aElement0(sz10) = all_164_5_450)
% 71.11/40.01 |
% 71.11/40.01 +-Applying beta-rule and splitting (483), into two cases.
% 71.11/40.01 |-Branch one:
% 71.11/40.01 | (484) (all_164_0_445 = sz00 & all_164_1_446 = all_164_4_449 & sdtasdt0(all_164_5_450, sz00) = sz00 & sdtasdt0(sz00, all_164_5_450) = all_164_4_449 & sdtasdt0(sz00, all_0_2_2) = all_164_3_448 & sdtasdt0(sz00, sz10) = all_164_2_447 & sdtpldt0(all_164_3_448, all_164_2_447) = all_164_4_449 & sdtpldt0(all_0_2_2, sz10) = all_164_5_450) | ( ~ (all_164_5_450 = 0) & aElement0(all_0_2_2) = all_164_5_450)
% 71.11/40.01 |
% 71.11/40.01 +-Applying beta-rule and splitting (484), into two cases.
% 71.11/40.01 |-Branch one:
% 71.11/40.01 | (485) all_164_0_445 = sz00 & all_164_1_446 = all_164_4_449 & sdtasdt0(all_164_5_450, sz00) = sz00 & sdtasdt0(sz00, all_164_5_450) = all_164_4_449 & sdtasdt0(sz00, all_0_2_2) = all_164_3_448 & sdtasdt0(sz00, sz10) = all_164_2_447 & sdtpldt0(all_164_3_448, all_164_2_447) = all_164_4_449 & sdtpldt0(all_0_2_2, sz10) = all_164_5_450
% 71.11/40.01 |
% 71.11/40.01 | Applying alpha-rule on (485) yields:
% 71.11/40.01 | (486) all_164_0_445 = sz00
% 71.11/40.01 | (487) sdtpldt0(all_164_3_448, all_164_2_447) = all_164_4_449
% 71.11/40.01 | (488) all_164_1_446 = all_164_4_449
% 71.11/40.01 | (489) sdtasdt0(sz00, all_0_2_2) = all_164_3_448
% 71.11/40.01 | (490) sdtasdt0(sz00, all_164_5_450) = all_164_4_449
% 71.11/40.01 | (491) sdtasdt0(sz00, sz10) = all_164_2_447
% 71.11/40.01 | (492) sdtpldt0(all_0_2_2, sz10) = all_164_5_450
% 71.11/40.01 | (493) sdtasdt0(all_164_5_450, sz00) = sz00
% 71.11/40.01 |
% 71.11/40.01 | Instantiating formula (7) with all_0_2_2, xx, all_140_4_333, all_151_5_395 and discharging atoms sdtasdt0(all_0_2_2, xx) = all_151_5_395, sdtasdt0(all_0_2_2, xx) = all_140_4_333, yields:
% 71.11/40.01 | (494) all_151_5_395 = all_140_4_333
% 71.11/40.01 |
% 71.11/40.01 | Instantiating formula (7) with all_0_2_2, xx, all_140_6_335, all_23_0_16 and discharging atoms sdtasdt0(all_0_2_2, xx) = all_140_6_335, sdtasdt0(all_0_2_2, xx) = all_23_0_16, yields:
% 71.11/40.01 | (495) all_140_6_335 = all_23_0_16
% 71.11/40.01 |
% 71.11/40.01 | Instantiating formula (7) with all_0_2_2, xx, all_110_1_242, all_151_5_395 and discharging atoms sdtasdt0(all_0_2_2, xx) = all_151_5_395, sdtasdt0(all_0_2_2, xx) = all_110_1_242, yields:
% 71.11/40.01 | (496) all_151_5_395 = all_110_1_242
% 71.11/40.01 |
% 71.11/40.01 | Instantiating formula (7) with all_0_2_2, xx, all_106_2_226, all_140_6_335 and discharging atoms sdtasdt0(all_0_2_2, xx) = all_140_6_335, sdtasdt0(all_0_2_2, xx) = all_106_2_226, yields:
% 71.11/40.01 | (497) all_140_6_335 = all_106_2_226
% 71.11/40.01 |
% 71.11/40.01 | Instantiating formula (7) with all_0_2_2, xx, all_99_4_195, all_107_5_235 and discharging atoms sdtasdt0(all_0_2_2, xx) = all_107_5_235, sdtasdt0(all_0_2_2, xx) = all_99_4_195, yields:
% 71.11/40.01 | (498) all_107_5_235 = all_99_4_195
% 71.11/40.01 |
% 71.11/40.01 | Instantiating formula (7) with all_0_2_2, xx, all_99_4_195, all_106_2_226 and discharging atoms sdtasdt0(all_0_2_2, xx) = all_106_2_226, sdtasdt0(all_0_2_2, xx) = all_99_4_195, yields:
% 71.11/40.01 | (499) all_106_2_226 = all_99_4_195
% 71.11/40.01 |
% 71.11/40.01 | Instantiating formula (7) with all_0_2_2, xx, all_96_6_176, all_107_5_235 and discharging atoms sdtasdt0(all_0_2_2, xx) = all_107_5_235, sdtasdt0(all_0_2_2, xx) = all_96_6_176, yields:
% 71.11/40.01 | (500) all_107_5_235 = all_96_6_176
% 71.11/40.01 |
% 71.11/40.01 | Instantiating formula (7) with all_0_2_2, xx, all_95_1_165, all_109_1_240 and discharging atoms sdtasdt0(all_0_2_2, xx) = all_109_1_240, sdtasdt0(all_0_2_2, xx) = all_95_1_165, yields:
% 71.11/40.01 | (501) all_109_1_240 = all_95_1_165
% 71.11/40.01 |
% 71.11/40.01 | Instantiating formula (7) with all_0_2_2, xx, all_94_5_162, all_151_5_395 and discharging atoms sdtasdt0(all_0_2_2, xx) = all_151_5_395, sdtasdt0(all_0_2_2, xx) = all_94_5_162, yields:
% 71.11/40.01 | (502) all_151_5_395 = all_94_5_162
% 71.11/40.01 |
% 71.11/40.01 | Instantiating formula (7) with all_0_2_2, xx, all_94_5_162, all_107_5_235 and discharging atoms sdtasdt0(all_0_2_2, xx) = all_107_5_235, sdtasdt0(all_0_2_2, xx) = all_94_5_162, yields:
% 71.11/40.01 | (503) all_107_5_235 = all_94_5_162
% 71.11/40.01 |
% 71.11/40.01 | Instantiating formula (7) with all_0_2_2, xx, all_83_6_116, all_151_5_395 and discharging atoms sdtasdt0(all_0_2_2, xx) = all_151_5_395, sdtasdt0(all_0_2_2, xx) = all_83_6_116, yields:
% 71.11/40.01 | (504) all_151_5_395 = all_83_6_116
% 71.11/40.01 |
% 71.11/40.01 | Instantiating formula (7) with all_0_2_2, xx, all_82_5_108, all_151_5_395 and discharging atoms sdtasdt0(all_0_2_2, xx) = all_151_5_395, sdtasdt0(all_0_2_2, xx) = all_82_5_108, yields:
% 71.11/40.01 | (505) all_151_5_395 = all_82_5_108
% 71.11/40.01 |
% 71.11/40.01 | Instantiating formula (7) with all_0_2_2, xx, all_82_5_108, all_95_1_165 and discharging atoms sdtasdt0(all_0_2_2, xx) = all_95_1_165, sdtasdt0(all_0_2_2, xx) = all_82_5_108, yields:
% 71.11/40.01 | (506) all_95_1_165 = all_82_5_108
% 71.11/40.01 |
% 71.11/40.01 | Instantiating formula (7) with all_0_2_2, xx, all_82_6_109, all_109_1_240 and discharging atoms sdtasdt0(all_0_2_2, xx) = all_109_1_240, sdtasdt0(all_0_2_2, xx) = all_82_6_109, yields:
% 71.11/40.01 | (507) all_109_1_240 = all_82_6_109
% 71.11/40.01 |
% 71.11/40.01 | Instantiating formula (7) with xx, all_0_2_2, all_151_3_393, all_151_1_391 and discharging atoms sdtasdt0(xx, all_0_2_2) = all_151_1_391, sdtasdt0(xx, all_0_2_2) = all_151_3_393, yields:
% 71.11/40.01 | (508) all_151_1_391 = all_151_3_393
% 71.11/40.01 |
% 71.11/40.01 | Instantiating formula (7) with xx, all_0_2_2, all_140_1_330, all_151_3_393 and discharging atoms sdtasdt0(xx, all_0_2_2) = all_151_3_393, sdtasdt0(xx, all_0_2_2) = all_140_1_330, yields:
% 71.11/40.01 | (509) all_151_3_393 = all_140_1_330
% 71.11/40.01 |
% 71.11/40.01 | Instantiating formula (7) with xx, all_0_2_2, all_113_2_249, all_140_1_330 and discharging atoms sdtasdt0(xx, all_0_2_2) = all_140_1_330, sdtasdt0(xx, all_0_2_2) = all_113_2_249, yields:
% 71.11/40.01 | (510) all_140_1_330 = all_113_2_249
% 71.11/40.01 |
% 71.11/40.01 | Instantiating formula (7) with xx, all_0_2_2, all_107_1_231, all_113_2_249 and discharging atoms sdtasdt0(xx, all_0_2_2) = all_113_2_249, sdtasdt0(xx, all_0_2_2) = all_107_1_231, yields:
% 71.11/40.01 | (511) all_113_2_249 = all_107_1_231
% 71.11/40.01 |
% 71.11/40.01 | Instantiating formula (7) with xx, all_0_2_2, all_105_3_221, all_111_1_244 and discharging atoms sdtasdt0(xx, all_0_2_2) = all_111_1_244, sdtasdt0(xx, all_0_2_2) = all_105_3_221, yields:
% 71.11/40.01 | (512) all_111_1_244 = all_105_3_221
% 71.11/40.01 |
% 71.11/40.02 | Instantiating formula (7) with xx, all_0_2_2, all_103_1_210, all_113_2_249 and discharging atoms sdtasdt0(xx, all_0_2_2) = all_113_2_249, sdtasdt0(xx, all_0_2_2) = all_103_1_210, yields:
% 71.11/40.02 | (513) all_113_2_249 = all_103_1_210
% 71.11/40.02 |
% 71.11/40.02 | Instantiating formula (7) with xx, all_0_2_2, all_103_1_210, all_111_1_244 and discharging atoms sdtasdt0(xx, all_0_2_2) = all_111_1_244, sdtasdt0(xx, all_0_2_2) = all_103_1_210, yields:
% 71.11/40.02 | (514) all_111_1_244 = all_103_1_210
% 71.11/40.02 |
% 71.11/40.02 | Instantiating formula (7) with xx, all_0_2_2, all_99_1_192, all_151_1_391 and discharging atoms sdtasdt0(xx, all_0_2_2) = all_151_1_391, sdtasdt0(xx, all_0_2_2) = all_99_1_192, yields:
% 71.11/40.02 | (515) all_151_1_391 = all_99_1_192
% 71.11/40.02 |
% 71.11/40.02 | Instantiating formula (7) with xx, all_0_2_2, all_96_2_172, all_23_0_16 and discharging atoms sdtasdt0(xx, all_0_2_2) = all_96_2_172, sdtasdt0(xx, all_0_2_2) = all_23_0_16, yields:
% 71.11/40.02 | (516) all_96_2_172 = all_23_0_16
% 71.11/40.02 |
% 71.11/40.02 | Instantiating formula (7) with xx, all_0_2_2, all_94_2_159, all_103_1_210 and discharging atoms sdtasdt0(xx, all_0_2_2) = all_103_1_210, sdtasdt0(xx, all_0_2_2) = all_94_2_159, yields:
% 71.11/40.02 | (517) all_103_1_210 = all_94_2_159
% 71.11/40.02 |
% 71.11/40.02 | Instantiating formula (7) with xx, all_0_2_2, all_83_2_112, all_96_2_172 and discharging atoms sdtasdt0(xx, all_0_2_2) = all_96_2_172, sdtasdt0(xx, all_0_2_2) = all_83_2_112, yields:
% 71.11/40.02 | (518) all_96_2_172 = all_83_2_112
% 71.11/40.02 |
% 71.11/40.02 | Instantiating formula (7) with xx, all_0_2_2, all_83_2_112, all_94_2_159 and discharging atoms sdtasdt0(xx, all_0_2_2) = all_94_2_159, sdtasdt0(xx, all_0_2_2) = all_83_2_112, yields:
% 71.11/40.02 | (519) all_94_2_159 = all_83_2_112
% 71.11/40.02 |
% 71.11/40.02 | Instantiating formula (7) with xx, all_0_2_2, all_83_3_113, all_111_1_244 and discharging atoms sdtasdt0(xx, all_0_2_2) = all_111_1_244, sdtasdt0(xx, all_0_2_2) = all_83_3_113, yields:
% 71.11/40.02 | (520) all_111_1_244 = all_83_3_113
% 71.11/40.02 |
% 71.11/40.02 | Instantiating formula (7) with xx, sz10, all_130_4_294, all_131_5_302 and discharging atoms sdtasdt0(xx, sz10) = all_131_5_302, sdtasdt0(xx, sz10) = all_130_4_294, yields:
% 71.11/40.02 | (521) all_131_5_302 = all_130_4_294
% 71.11/40.02 |
% 71.11/40.02 | Instantiating formula (7) with xx, sz10, all_130_6_296, all_130_4_294 and discharging atoms sdtasdt0(xx, sz10) = all_130_4_294, sdtasdt0(xx, sz10) = all_130_6_296, yields:
% 71.11/40.02 | (522) all_130_4_294 = all_130_6_296
% 71.11/40.02 |
% 71.11/40.02 | Instantiating formula (7) with xx, sz10, all_119_2_259, all_130_6_296 and discharging atoms sdtasdt0(xx, sz10) = all_130_6_296, sdtasdt0(xx, sz10) = all_119_2_259, yields:
% 71.11/40.02 | (523) all_130_6_296 = all_119_2_259
% 71.11/40.02 |
% 71.11/40.02 | Instantiating formula (7) with xx, sz10, all_113_3_250, all_119_2_259 and discharging atoms sdtasdt0(xx, sz10) = all_119_2_259, sdtasdt0(xx, sz10) = all_113_3_250, yields:
% 71.11/40.02 | (524) all_119_2_259 = all_113_3_250
% 71.11/40.02 |
% 71.11/40.02 | Instantiating formula (7) with xx, sz10, all_105_2_220, all_113_3_250 and discharging atoms sdtasdt0(xx, sz10) = all_113_3_250, sdtasdt0(xx, sz10) = all_105_2_220, yields:
% 71.11/40.02 | (525) all_113_3_250 = all_105_2_220
% 71.11/40.02 |
% 71.11/40.02 | Instantiating formula (7) with xx, sz10, all_104_1_212, all_105_2_220 and discharging atoms sdtasdt0(xx, sz10) = all_105_2_220, sdtasdt0(xx, sz10) = all_104_1_212, yields:
% 71.11/40.02 | (526) all_105_2_220 = all_104_1_212
% 71.11/40.02 |
% 71.11/40.02 | Instantiating formula (7) with xx, sz10, all_100_1_199, all_104_1_212 and discharging atoms sdtasdt0(xx, sz10) = all_104_1_212, sdtasdt0(xx, sz10) = all_100_1_199, yields:
% 71.11/40.02 | (527) all_104_1_212 = all_100_1_199
% 71.11/40.02 |
% 71.11/40.02 | Instantiating formula (7) with xx, sz10, all_97_2_179, all_100_1_199 and discharging atoms sdtasdt0(xx, sz10) = all_100_1_199, sdtasdt0(xx, sz10) = all_97_2_179, yields:
% 71.11/40.02 | (528) all_100_1_199 = all_97_2_179
% 71.11/40.02 |
% 71.11/40.02 | Instantiating formula (7) with xx, sz10, all_74_6_64, all_97_2_179 and discharging atoms sdtasdt0(xx, sz10) = all_97_2_179, sdtasdt0(xx, sz10) = all_74_6_64, yields:
% 71.11/40.02 | (529) all_97_2_179 = all_74_6_64
% 71.11/40.02 |
% 71.11/40.02 | Instantiating formula (7) with xx, sz10, all_73_5_56, xx and discharging atoms sdtasdt0(xx, sz10) = all_73_5_56, sdtasdt0(xx, sz10) = xx, yields:
% 71.11/40.02 | (530) all_73_5_56 = xx
% 71.11/40.02 |
% 71.11/40.02 | Instantiating formula (7) with xx, sz10, all_73_5_56, all_74_6_64 and discharging atoms sdtasdt0(xx, sz10) = all_74_6_64, sdtasdt0(xx, sz10) = all_73_5_56, yields:
% 71.11/40.02 | (531) all_74_6_64 = all_73_5_56
% 71.11/40.02 |
% 71.11/40.02 | Instantiating formula (7) with xx, sz10, all_73_6_57, all_131_5_302 and discharging atoms sdtasdt0(xx, sz10) = all_131_5_302, sdtasdt0(xx, sz10) = all_73_6_57, yields:
% 71.11/40.02 | (532) all_131_5_302 = all_73_6_57
% 71.11/40.02 |
% 71.11/40.02 | Instantiating formula (7) with xx, sz00, all_130_5_295, all_131_6_303 and discharging atoms sdtasdt0(xx, sz00) = all_131_6_303, sdtasdt0(xx, sz00) = all_130_5_295, yields:
% 71.11/40.02 | (533) all_131_6_303 = all_130_5_295
% 71.11/40.02 |
% 71.11/40.02 | Instantiating formula (7) with xx, sz00, all_74_5_63, all_131_6_303 and discharging atoms sdtasdt0(xx, sz00) = all_131_6_303, sdtasdt0(xx, sz00) = all_74_5_63, yields:
% 71.11/40.02 | (534) all_131_6_303 = all_74_5_63
% 71.11/40.02 |
% 71.11/40.02 | Instantiating formula (7) with xx, sz00, all_73_4_55, all_131_6_303 and discharging atoms sdtasdt0(xx, sz00) = all_131_6_303, sdtasdt0(xx, sz00) = all_73_4_55, yields:
% 71.11/40.02 | (535) all_131_6_303 = all_73_4_55
% 71.11/40.02 |
% 71.11/40.02 | Instantiating formula (7) with sz10, xx, all_131_3_300, xx and discharging atoms sdtasdt0(sz10, xx) = all_131_3_300, sdtasdt0(sz10, xx) = xx, yields:
% 71.11/40.02 | (536) all_131_3_300 = xx
% 71.11/40.02 |
% 71.11/40.02 | Instantiating formula (7) with sz10, xx, all_131_3_300, all_131_1_298 and discharging atoms sdtasdt0(sz10, xx) = all_131_1_298, sdtasdt0(sz10, xx) = all_131_3_300, yields:
% 71.11/40.02 | (537) all_131_1_298 = all_131_3_300
% 71.11/40.02 |
% 71.11/40.02 | Instantiating formula (7) with sz10, xx, all_130_1_291, all_131_1_298 and discharging atoms sdtasdt0(sz10, xx) = all_131_1_298, sdtasdt0(sz10, xx) = all_130_1_291, yields:
% 71.11/40.02 | (538) all_131_1_298 = all_130_1_291
% 71.11/40.02 |
% 71.11/40.02 | Instantiating formula (7) with sz10, xx, all_119_5_262, all_131_3_300 and discharging atoms sdtasdt0(sz10, xx) = all_131_3_300, sdtasdt0(sz10, xx) = all_119_5_262, yields:
% 71.11/40.02 | (539) all_131_3_300 = all_119_5_262
% 71.11/40.02 |
% 71.11/40.02 | Instantiating formula (7) with sz10, xx, all_106_1_225, all_131_3_300 and discharging atoms sdtasdt0(sz10, xx) = all_131_3_300, sdtasdt0(sz10, xx) = all_106_1_225, yields:
% 71.11/40.02 | (540) all_131_3_300 = all_106_1_225
% 71.11/40.02 |
% 71.11/40.02 | Instantiating formula (7) with sz10, xx, all_104_4_215, all_106_1_225 and discharging atoms sdtasdt0(sz10, xx) = all_106_1_225, sdtasdt0(sz10, xx) = all_104_4_215, yields:
% 71.11/40.02 | (541) all_106_1_225 = all_104_4_215
% 71.11/40.02 |
% 71.11/40.02 | Instantiating formula (7) with sz10, xx, all_100_5_203, all_104_4_215 and discharging atoms sdtasdt0(sz10, xx) = all_104_4_215, sdtasdt0(sz10, xx) = all_100_5_203, yields:
% 71.11/40.02 | (542) all_104_4_215 = all_100_5_203
% 71.11/40.02 |
% 71.11/40.02 | Instantiating formula (7) with sz10, xx, all_97_6_183, all_100_5_203 and discharging atoms sdtasdt0(sz10, xx) = all_100_5_203, sdtasdt0(sz10, xx) = all_97_6_183, yields:
% 71.11/40.02 | (543) all_100_5_203 = all_97_6_183
% 71.11/40.02 |
% 71.11/40.02 | Instantiating formula (7) with sz10, xx, all_95_2_166, all_97_6_183 and discharging atoms sdtasdt0(sz10, xx) = all_97_6_183, sdtasdt0(sz10, xx) = all_95_2_166, yields:
% 71.11/40.02 | (544) all_97_6_183 = all_95_2_166
% 71.11/40.02 |
% 71.11/40.02 | Instantiating formula (7) with sz00, xx, all_130_2_292, all_131_2_299 and discharging atoms sdtasdt0(sz00, xx) = all_131_2_299, sdtasdt0(sz00, xx) = all_130_2_292, yields:
% 71.11/40.02 | (545) all_131_2_299 = all_130_2_292
% 71.11/40.02 |
% 71.11/40.02 | Instantiating formula (7) with sz00, xx, all_74_1_59, all_131_2_299 and discharging atoms sdtasdt0(sz00, xx) = all_131_2_299, sdtasdt0(sz00, xx) = all_74_1_59, yields:
% 71.11/40.02 | (546) all_131_2_299 = all_74_1_59
% 71.11/40.02 |
% 71.11/40.02 | Instantiating formula (7) with sz00, xx, all_73_1_52, all_130_2_292 and discharging atoms sdtasdt0(sz00, xx) = all_130_2_292, sdtasdt0(sz00, xx) = all_73_1_52, yields:
% 71.11/40.02 | (547) all_130_2_292 = all_73_1_52
% 71.11/40.02 |
% 71.11/40.02 | Instantiating formula (31) with all_23_0_16, sz00, all_127_1_276, all_136_1_322 and discharging atoms sdtpldt0(all_23_0_16, sz00) = all_136_1_322, sdtpldt0(all_23_0_16, sz00) = all_127_1_276, yields:
% 71.11/40.02 | (548) all_136_1_322 = all_127_1_276
% 71.11/40.02 |
% 71.11/40.02 | Instantiating formula (31) with all_23_0_16, sz00, all_67_1_36, all_127_1_276 and discharging atoms sdtpldt0(all_23_0_16, sz00) = all_127_1_276, sdtpldt0(all_23_0_16, sz00) = all_67_1_36, yields:
% 71.11/40.02 | (549) all_127_1_276 = all_67_1_36
% 71.11/40.02 |
% 71.11/40.02 | Instantiating formula (31) with all_23_0_16, sz00, all_23_0_16, all_136_1_322 and discharging atoms sdtpldt0(all_23_0_16, sz00) = all_136_1_322, sdtpldt0(all_23_0_16, sz00) = all_23_0_16, yields:
% 71.11/40.02 | (550) all_136_1_322 = all_23_0_16
% 71.11/40.02 |
% 71.11/40.02 | Instantiating formula (31) with all_0_2_2, sz10, all_164_5_450, sz00 and discharging atoms sdtpldt0(all_0_2_2, sz10) = all_164_5_450, sdtpldt0(all_0_2_2, sz10) = sz00, yields:
% 71.11/40.02 | (551) all_164_5_450 = sz00
% 71.11/40.02 |
% 71.11/40.02 | Instantiating formula (31) with all_0_2_2, sz10, all_143_5_350, all_164_5_450 and discharging atoms sdtpldt0(all_0_2_2, sz10) = all_164_5_450, sdtpldt0(all_0_2_2, sz10) = all_143_5_350, yields:
% 71.11/40.02 | (552) all_164_5_450 = all_143_5_350
% 71.11/40.02 |
% 71.11/40.02 | Instantiating formula (31) with all_0_2_2, sz10, all_106_5_229, all_164_5_450 and discharging atoms sdtpldt0(all_0_2_2, sz10) = all_164_5_450, sdtpldt0(all_0_2_2, sz10) = all_106_5_229, yields:
% 71.11/40.02 | (553) all_164_5_450 = all_106_5_229
% 71.11/40.02 |
% 71.11/40.02 | Instantiating formula (31) with all_0_2_2, sz10, all_105_5_223, all_164_5_450 and discharging atoms sdtpldt0(all_0_2_2, sz10) = all_164_5_450, sdtpldt0(all_0_2_2, sz10) = all_105_5_223, yields:
% 71.11/40.02 | (554) all_164_5_450 = all_105_5_223
% 71.11/40.02 |
% 71.11/40.02 | Instantiating formula (31) with sz10, all_0_2_2, all_113_5_252, sz00 and discharging atoms sdtpldt0(sz10, all_0_2_2) = all_113_5_252, sdtpldt0(sz10, all_0_2_2) = sz00, yields:
% 71.11/40.02 | (555) all_113_5_252 = sz00
% 71.11/40.02 |
% 71.11/40.02 | Instantiating formula (31) with sz10, all_0_2_2, all_95_5_169, all_113_5_252 and discharging atoms sdtpldt0(sz10, all_0_2_2) = all_113_5_252, sdtpldt0(sz10, all_0_2_2) = all_95_5_169, yields:
% 71.11/40.02 | (556) all_113_5_252 = all_95_5_169
% 71.11/40.02 |
% 71.11/40.02 | Combining equations (551,552) yields a new equation:
% 71.11/40.02 | (557) all_143_5_350 = sz00
% 71.11/40.02 |
% 71.11/40.02 | Combining equations (553,552) yields a new equation:
% 71.11/40.02 | (558) all_143_5_350 = all_106_5_229
% 71.11/40.02 |
% 71.11/40.02 | Combining equations (554,552) yields a new equation:
% 71.11/40.02 | (559) all_143_5_350 = all_105_5_223
% 71.11/40.02 |
% 71.11/40.02 | Combining equations (508,515) yields a new equation:
% 71.11/40.02 | (560) all_151_3_393 = all_99_1_192
% 71.11/40.02 |
% 71.11/40.02 | Simplifying 560 yields:
% 71.11/40.02 | (561) all_151_3_393 = all_99_1_192
% 71.11/40.02 |
% 71.11/40.02 | Combining equations (509,561) yields a new equation:
% 71.11/40.02 | (562) all_140_1_330 = all_99_1_192
% 71.11/40.02 |
% 71.11/40.02 | Simplifying 562 yields:
% 71.11/40.02 | (563) all_140_1_330 = all_99_1_192
% 71.11/40.02 |
% 71.11/40.02 | Combining equations (505,494) yields a new equation:
% 71.11/40.02 | (564) all_140_4_333 = all_82_5_108
% 71.11/40.02 |
% 71.11/40.02 | Combining equations (502,494) yields a new equation:
% 71.11/40.02 | (565) all_140_4_333 = all_94_5_162
% 71.11/40.02 |
% 71.11/40.02 | Combining equations (504,494) yields a new equation:
% 71.11/40.02 | (566) all_140_4_333 = all_83_6_116
% 71.11/40.02 |
% 71.11/40.02 | Combining equations (496,494) yields a new equation:
% 71.11/40.02 | (567) all_140_4_333 = all_110_1_242
% 71.11/40.02 |
% 71.11/40.02 | Combining equations (557,558) yields a new equation:
% 71.11/40.02 | (568) all_106_5_229 = sz00
% 71.11/40.02 |
% 71.11/40.02 | Combining equations (559,558) yields a new equation:
% 71.11/40.02 | (569) all_106_5_229 = all_105_5_223
% 71.11/40.02 |
% 71.11/40.02 | Combining equations (510,563) yields a new equation:
% 71.11/40.02 | (570) all_113_2_249 = all_99_1_192
% 71.11/40.02 |
% 71.11/40.02 | Simplifying 570 yields:
% 71.11/40.02 | (571) all_113_2_249 = all_99_1_192
% 71.11/40.02 |
% 71.11/40.02 | Combining equations (565,567) yields a new equation:
% 71.11/40.02 | (572) all_110_1_242 = all_94_5_162
% 71.11/40.02 |
% 71.11/40.02 | Combining equations (564,567) yields a new equation:
% 71.11/40.02 | (573) all_110_1_242 = all_82_5_108
% 71.11/40.02 |
% 71.11/40.02 | Combining equations (566,567) yields a new equation:
% 71.11/40.02 | (574) all_110_1_242 = all_83_6_116
% 71.11/40.02 |
% 71.11/40.02 | Combining equations (497,495) yields a new equation:
% 71.11/40.02 | (575) all_106_2_226 = all_23_0_16
% 71.11/40.02 |
% 71.11/40.02 | Simplifying 575 yields:
% 71.11/40.02 | (576) all_106_2_226 = all_23_0_16
% 71.11/40.02 |
% 71.11/40.02 | Combining equations (548,550) yields a new equation:
% 71.11/40.02 | (577) all_127_1_276 = all_23_0_16
% 71.11/40.02 |
% 71.11/40.02 | Simplifying 577 yields:
% 71.11/40.02 | (578) all_127_1_276 = all_23_0_16
% 71.11/40.02 |
% 71.11/40.02 | Combining equations (537,538) yields a new equation:
% 71.11/40.02 | (579) all_131_3_300 = all_130_1_291
% 71.11/40.02 |
% 71.11/40.02 | Simplifying 579 yields:
% 71.11/40.02 | (580) all_131_3_300 = all_130_1_291
% 71.11/40.02 |
% 71.11/40.02 | Combining equations (545,546) yields a new equation:
% 71.11/40.02 | (581) all_130_2_292 = all_74_1_59
% 71.11/40.02 |
% 71.11/40.02 | Simplifying 581 yields:
% 71.11/40.02 | (582) all_130_2_292 = all_74_1_59
% 71.11/40.02 |
% 71.11/40.02 | Combining equations (536,580) yields a new equation:
% 71.11/40.02 | (583) all_130_1_291 = xx
% 71.11/40.02 |
% 71.11/40.02 | Combining equations (540,580) yields a new equation:
% 71.11/40.02 | (584) all_130_1_291 = all_106_1_225
% 71.11/40.02 |
% 71.11/40.02 | Combining equations (539,580) yields a new equation:
% 71.11/40.02 | (585) all_130_1_291 = all_119_5_262
% 71.11/40.02 |
% 71.11/40.02 | Combining equations (521,532) yields a new equation:
% 71.11/40.02 | (586) all_130_4_294 = all_73_6_57
% 71.11/40.02 |
% 71.11/40.02 | Simplifying 586 yields:
% 71.11/40.02 | (587) all_130_4_294 = all_73_6_57
% 71.11/40.02 |
% 71.11/40.02 | Combining equations (534,533) yields a new equation:
% 71.11/40.02 | (588) all_130_5_295 = all_74_5_63
% 71.11/40.02 |
% 71.11/40.02 | Combining equations (535,533) yields a new equation:
% 71.11/40.02 | (589) all_130_5_295 = all_73_4_55
% 71.11/40.02 |
% 71.11/40.02 | Combining equations (584,585) yields a new equation:
% 71.11/40.02 | (590) all_119_5_262 = all_106_1_225
% 71.11/40.02 |
% 71.11/40.02 | Combining equations (583,585) yields a new equation:
% 71.11/40.02 | (591) all_119_5_262 = xx
% 71.11/40.02 |
% 71.11/40.02 | Combining equations (547,582) yields a new equation:
% 71.11/40.02 | (592) all_74_1_59 = all_73_1_52
% 71.11/40.02 |
% 71.11/40.02 | Combining equations (522,587) yields a new equation:
% 71.11/40.02 | (593) all_130_6_296 = all_73_6_57
% 71.11/40.02 |
% 71.11/40.02 | Simplifying 593 yields:
% 71.11/40.02 | (594) all_130_6_296 = all_73_6_57
% 71.11/40.02 |
% 71.11/40.02 | Combining equations (588,589) yields a new equation:
% 71.11/40.02 | (595) all_74_5_63 = all_73_4_55
% 71.11/40.02 |
% 71.11/40.02 | Simplifying 595 yields:
% 71.11/40.02 | (596) all_74_5_63 = all_73_4_55
% 71.11/40.02 |
% 71.11/40.02 | Combining equations (523,594) yields a new equation:
% 71.11/40.02 | (597) all_119_2_259 = all_73_6_57
% 71.11/40.02 |
% 71.11/40.02 | Simplifying 597 yields:
% 71.11/40.02 | (598) all_119_2_259 = all_73_6_57
% 71.11/40.02 |
% 71.11/40.02 | Combining equations (549,578) yields a new equation:
% 71.11/40.02 | (599) all_67_1_36 = all_23_0_16
% 71.11/40.02 |
% 71.11/40.02 | Simplifying 599 yields:
% 71.11/40.02 | (600) all_67_1_36 = all_23_0_16
% 71.11/40.02 |
% 71.11/40.02 | Combining equations (524,598) yields a new equation:
% 71.11/40.02 | (601) all_113_3_250 = all_73_6_57
% 71.11/40.02 |
% 71.11/40.02 | Simplifying 601 yields:
% 71.11/40.02 | (602) all_113_3_250 = all_73_6_57
% 71.11/40.02 |
% 71.11/40.03 | Combining equations (590,591) yields a new equation:
% 71.11/40.03 | (603) all_106_1_225 = xx
% 71.11/40.03 |
% 71.11/40.03 | Simplifying 603 yields:
% 71.11/40.03 | (604) all_106_1_225 = xx
% 71.11/40.03 |
% 71.11/40.03 | Combining equations (571,511) yields a new equation:
% 71.11/40.03 | (605) all_107_1_231 = all_99_1_192
% 71.11/40.03 |
% 71.11/40.03 | Combining equations (513,511) yields a new equation:
% 71.11/40.03 | (606) all_107_1_231 = all_103_1_210
% 71.11/40.03 |
% 71.11/40.03 | Combining equations (525,602) yields a new equation:
% 71.11/40.03 | (607) all_105_2_220 = all_73_6_57
% 71.11/40.03 |
% 71.11/40.03 | Simplifying 607 yields:
% 71.11/40.03 | (608) all_105_2_220 = all_73_6_57
% 71.11/40.03 |
% 71.11/40.03 | Combining equations (555,556) yields a new equation:
% 71.11/40.03 | (609) all_95_5_169 = sz00
% 71.11/40.03 |
% 71.11/40.03 | Combining equations (520,512) yields a new equation:
% 71.11/40.03 | (610) all_105_3_221 = all_83_3_113
% 71.11/40.03 |
% 71.11/40.03 | Combining equations (514,512) yields a new equation:
% 71.11/40.03 | (611) all_105_3_221 = all_103_1_210
% 71.11/40.03 |
% 71.11/40.03 | Combining equations (572,574) yields a new equation:
% 71.11/40.03 | (612) all_94_5_162 = all_83_6_116
% 71.11/40.03 |
% 71.11/40.03 | Simplifying 612 yields:
% 71.11/40.03 | (613) all_94_5_162 = all_83_6_116
% 71.11/40.03 |
% 71.11/40.03 | Combining equations (573,574) yields a new equation:
% 71.11/40.03 | (614) all_83_6_116 = all_82_5_108
% 71.11/40.03 |
% 71.11/40.03 | Combining equations (501,507) yields a new equation:
% 71.11/40.03 | (615) all_95_1_165 = all_82_6_109
% 71.11/40.03 |
% 71.11/40.03 | Simplifying 615 yields:
% 71.11/40.03 | (616) all_95_1_165 = all_82_6_109
% 71.11/40.03 |
% 71.11/40.03 | Combining equations (606,605) yields a new equation:
% 71.11/40.03 | (617) all_103_1_210 = all_99_1_192
% 71.11/40.03 |
% 71.11/40.03 | Simplifying 617 yields:
% 71.11/40.03 | (618) all_103_1_210 = all_99_1_192
% 71.11/40.03 |
% 71.11/40.03 | Combining equations (503,500) yields a new equation:
% 71.11/40.03 | (619) all_96_6_176 = all_94_5_162
% 71.11/40.03 |
% 71.11/40.03 | Combining equations (498,500) yields a new equation:
% 71.11/40.03 | (620) all_99_4_195 = all_96_6_176
% 71.11/40.03 |
% 71.11/40.03 | Simplifying 620 yields:
% 71.11/40.03 | (621) all_99_4_195 = all_96_6_176
% 71.11/40.03 |
% 71.11/40.03 | Combining equations (541,604) yields a new equation:
% 71.11/40.03 | (622) all_104_4_215 = xx
% 71.11/40.03 |
% 71.11/40.03 | Simplifying 622 yields:
% 71.11/40.03 | (623) all_104_4_215 = xx
% 71.11/40.03 |
% 71.11/40.03 | Combining equations (499,576) yields a new equation:
% 71.11/40.03 | (624) all_99_4_195 = all_23_0_16
% 71.11/40.03 |
% 71.11/40.03 | Simplifying 624 yields:
% 71.11/40.03 | (625) all_99_4_195 = all_23_0_16
% 71.11/40.03 |
% 71.11/40.03 | Combining equations (569,568) yields a new equation:
% 71.11/40.03 | (626) all_105_5_223 = sz00
% 71.11/40.03 |
% 71.11/40.03 | Simplifying 626 yields:
% 71.11/40.03 | (627) all_105_5_223 = sz00
% 71.11/40.03 |
% 71.11/40.03 | Combining equations (526,608) yields a new equation:
% 71.11/40.03 | (628) all_104_1_212 = all_73_6_57
% 71.11/40.03 |
% 71.11/40.03 | Simplifying 628 yields:
% 71.11/40.03 | (629) all_104_1_212 = all_73_6_57
% 71.11/40.03 |
% 71.11/40.03 | Combining equations (611,610) yields a new equation:
% 71.11/40.03 | (630) all_103_1_210 = all_83_3_113
% 71.11/40.03 |
% 71.11/40.03 | Simplifying 630 yields:
% 71.11/40.03 | (631) all_103_1_210 = all_83_3_113
% 71.11/40.03 |
% 71.11/40.03 | Combining equations (527,629) yields a new equation:
% 71.11/40.03 | (632) all_100_1_199 = all_73_6_57
% 71.11/40.03 |
% 71.11/40.03 | Simplifying 632 yields:
% 71.11/40.03 | (633) all_100_1_199 = all_73_6_57
% 71.11/40.03 |
% 71.11/40.03 | Combining equations (542,623) yields a new equation:
% 71.11/40.03 | (634) all_100_5_203 = xx
% 71.11/40.03 |
% 71.11/40.03 | Simplifying 634 yields:
% 71.11/40.03 | (635) all_100_5_203 = xx
% 71.11/40.03 |
% 71.11/40.03 | Combining equations (517,618) yields a new equation:
% 71.11/40.03 | (636) all_99_1_192 = all_94_2_159
% 71.11/40.03 |
% 71.11/40.03 | Combining equations (631,618) yields a new equation:
% 71.11/40.03 | (637) all_99_1_192 = all_83_3_113
% 71.11/40.03 |
% 71.11/40.03 | Combining equations (528,633) yields a new equation:
% 71.11/40.03 | (638) all_97_2_179 = all_73_6_57
% 71.11/40.03 |
% 71.11/40.03 | Simplifying 638 yields:
% 71.11/40.03 | (639) all_97_2_179 = all_73_6_57
% 71.11/40.03 |
% 71.11/40.03 | Combining equations (543,635) yields a new equation:
% 71.11/40.03 | (640) all_97_6_183 = xx
% 71.11/40.03 |
% 71.11/40.03 | Simplifying 640 yields:
% 71.11/40.03 | (641) all_97_6_183 = xx
% 71.11/40.03 |
% 71.11/40.03 | Combining equations (636,637) yields a new equation:
% 71.11/40.03 | (642) all_94_2_159 = all_83_3_113
% 71.11/40.03 |
% 71.11/40.03 | Simplifying 642 yields:
% 71.11/40.03 | (643) all_94_2_159 = all_83_3_113
% 71.11/40.03 |
% 71.11/40.03 | Combining equations (621,625) yields a new equation:
% 71.11/40.03 | (644) all_96_6_176 = all_23_0_16
% 71.11/40.03 |
% 71.11/40.03 | Simplifying 644 yields:
% 71.11/40.03 | (645) all_96_6_176 = all_23_0_16
% 71.11/40.03 |
% 71.11/40.03 | Combining equations (529,639) yields a new equation:
% 71.11/40.03 | (646) all_74_6_64 = all_73_6_57
% 71.11/40.03 |
% 71.11/40.03 | Simplifying 646 yields:
% 71.11/40.03 | (647) all_74_6_64 = all_73_6_57
% 71.11/40.03 |
% 71.11/40.03 | Combining equations (544,641) yields a new equation:
% 71.11/40.03 | (648) all_95_2_166 = xx
% 71.11/40.03 |
% 71.11/40.03 | Simplifying 648 yields:
% 71.11/40.03 | (649) all_95_2_166 = xx
% 71.11/40.03 |
% 71.11/40.03 | Combining equations (518,516) yields a new equation:
% 71.11/40.03 | (650) all_83_2_112 = all_23_0_16
% 71.11/40.03 |
% 71.11/40.03 | Simplifying 650 yields:
% 71.11/40.03 | (651) all_83_2_112 = all_23_0_16
% 71.11/40.03 |
% 71.11/40.03 | Combining equations (619,645) yields a new equation:
% 71.11/40.03 | (652) all_94_5_162 = all_23_0_16
% 71.11/40.03 |
% 71.11/40.03 | Simplifying 652 yields:
% 71.11/40.03 | (653) all_94_5_162 = all_23_0_16
% 71.11/40.03 |
% 71.11/40.03 | Combining equations (506,616) yields a new equation:
% 71.11/40.03 | (654) all_82_5_108 = all_82_6_109
% 71.11/40.03 |
% 71.11/40.03 | Simplifying 654 yields:
% 71.11/40.03 | (655) all_82_5_108 = all_82_6_109
% 71.11/40.03 |
% 71.11/40.03 | Combining equations (519,643) yields a new equation:
% 71.11/40.03 | (656) all_83_2_112 = all_83_3_113
% 71.11/40.03 |
% 71.11/40.03 | Simplifying 656 yields:
% 71.11/40.03 | (657) all_83_2_112 = all_83_3_113
% 71.11/40.03 |
% 71.11/40.03 | Combining equations (613,653) yields a new equation:
% 71.11/40.03 | (658) all_83_6_116 = all_23_0_16
% 71.11/40.03 |
% 71.11/40.03 | Simplifying 658 yields:
% 71.11/40.03 | (659) all_83_6_116 = all_23_0_16
% 71.11/40.03 |
% 71.11/40.03 | Combining equations (651,657) yields a new equation:
% 71.11/40.03 | (660) all_83_3_113 = all_23_0_16
% 71.11/40.03 |
% 71.11/40.03 | Combining equations (614,659) yields a new equation:
% 71.11/40.03 | (661) all_82_5_108 = all_23_0_16
% 71.11/40.03 |
% 71.11/40.03 | Simplifying 661 yields:
% 71.11/40.03 | (662) all_82_5_108 = all_23_0_16
% 71.11/40.03 |
% 71.11/40.03 | Combining equations (655,662) yields a new equation:
% 71.11/40.03 | (663) all_82_6_109 = all_23_0_16
% 71.11/40.03 |
% 71.11/40.03 | Simplifying 663 yields:
% 71.11/40.03 | (664) all_82_6_109 = all_23_0_16
% 71.11/40.03 |
% 71.11/40.03 | Combining equations (531,647) yields a new equation:
% 71.11/40.03 | (665) all_73_5_56 = all_73_6_57
% 71.11/40.03 |
% 71.11/40.03 | Simplifying 665 yields:
% 71.11/40.03 | (666) all_73_5_56 = all_73_6_57
% 71.11/40.03 |
% 71.11/40.03 | Combining equations (530,666) yields a new equation:
% 71.11/40.03 | (667) all_73_6_57 = xx
% 71.11/40.03 |
% 71.11/40.03 | Combining equations (664,616) yields a new equation:
% 71.11/40.03 | (668) all_95_1_165 = all_23_0_16
% 71.11/40.03 |
% 71.11/40.03 | Combining equations (660,610) yields a new equation:
% 71.11/40.03 | (669) all_105_3_221 = all_23_0_16
% 71.11/40.03 |
% 71.11/40.03 | Combining equations (667,608) yields a new equation:
% 71.11/40.03 | (670) all_105_2_220 = xx
% 71.11/40.03 |
% 71.11/40.03 | Combining equations (609,556) yields a new equation:
% 71.11/40.03 | (555) all_113_5_252 = sz00
% 71.11/40.03 |
% 71.11/40.03 | From (568) and (294) follows:
% 71.11/40.03 | (672) sdtasdt0(sz00, xx) = all_106_3_227
% 71.11/40.03 |
% 71.11/40.03 | From (609) and (211) follows:
% 71.11/40.03 | (673) sdtasdt0(sz00, xx) = all_95_3_167
% 71.11/40.03 |
% 71.11/40.03 | From (555) and (431) follows:
% 71.11/40.03 | (674) sdtasdt0(xx, sz00) = all_113_4_251
% 71.11/40.03 |
% 71.11/40.03 | From (627) and (447) follows:
% 71.11/40.03 | (675) sdtasdt0(xx, sz00) = all_105_4_222
% 71.11/40.03 |
% 71.11/40.03 | From (596) and (249) follows:
% 71.11/40.03 | (396) sdtasdt0(xx, sz00) = all_73_4_55
% 71.11/40.03 |
% 71.11/40.03 | From (592) and (247) follows:
% 71.11/40.03 | (394) sdtasdt0(sz00, xx) = all_73_1_52
% 71.11/40.03 |
% 71.11/40.03 | From (576)(604) and (292) follows:
% 71.11/40.03 | (678) sdtpldt0(all_23_0_16, xx) = all_106_3_227
% 71.11/40.03 |
% 71.11/40.03 | From (669)(670) and (442) follows:
% 71.11/40.03 | (679) sdtpldt0(all_23_0_16, xx) = all_105_4_222
% 71.11/40.03 |
% 71.11/40.03 | From (649)(668) and (215) follows:
% 71.11/40.03 | (680) sdtpldt0(xx, all_23_0_16) = all_95_3_167
% 71.11/40.03 |
% 71.11/40.03 | From (600) and (193) follows:
% 71.11/40.03 | (78) sdtpldt0(xx, all_23_0_16) = sz00
% 71.11/40.03 |
% 71.11/40.03 | Instantiating formula (7) with xx, sz00, all_113_4_251, all_73_4_55 and discharging atoms sdtasdt0(xx, sz00) = all_113_4_251, sdtasdt0(xx, sz00) = all_73_4_55, yields:
% 71.11/40.03 | (682) all_113_4_251 = all_73_4_55
% 71.11/40.03 |
% 71.11/40.03 | Instantiating formula (7) with xx, sz00, all_105_4_222, all_113_4_251 and discharging atoms sdtasdt0(xx, sz00) = all_113_4_251, sdtasdt0(xx, sz00) = all_105_4_222, yields:
% 71.11/40.03 | (683) all_113_4_251 = all_105_4_222
% 71.11/40.03 |
% 71.11/40.03 | Instantiating formula (7) with sz00, xx, all_106_3_227, all_73_1_52 and discharging atoms sdtasdt0(sz00, xx) = all_106_3_227, sdtasdt0(sz00, xx) = all_73_1_52, yields:
% 71.11/40.03 | (684) all_106_3_227 = all_73_1_52
% 71.11/40.03 |
% 71.11/40.03 | Instantiating formula (7) with sz00, xx, all_95_3_167, all_106_3_227 and discharging atoms sdtasdt0(sz00, xx) = all_106_3_227, sdtasdt0(sz00, xx) = all_95_3_167, yields:
% 71.11/40.03 | (685) all_106_3_227 = all_95_3_167
% 71.11/40.03 |
% 71.11/40.03 | Instantiating formula (31) with all_23_0_16, xx, all_105_4_222, all_106_3_227 and discharging atoms sdtpldt0(all_23_0_16, xx) = all_106_3_227, sdtpldt0(all_23_0_16, xx) = all_105_4_222, yields:
% 71.11/40.03 | (686) all_106_3_227 = all_105_4_222
% 71.11/40.03 |
% 71.11/40.03 | Instantiating formula (31) with xx, all_23_0_16, all_95_3_167, sz00 and discharging atoms sdtpldt0(xx, all_23_0_16) = all_95_3_167, sdtpldt0(xx, all_23_0_16) = sz00, yields:
% 71.11/40.03 | (687) all_95_3_167 = sz00
% 71.11/40.03 |
% 71.11/40.03 | Combining equations (682,683) yields a new equation:
% 71.11/40.03 | (688) all_105_4_222 = all_73_4_55
% 71.11/40.03 |
% 71.11/40.03 | Combining equations (686,684) yields a new equation:
% 71.11/40.03 | (689) all_105_4_222 = all_73_1_52
% 71.11/40.03 |
% 71.11/40.03 | Simplifying 689 yields:
% 71.11/40.03 | (690) all_105_4_222 = all_73_1_52
% 71.11/40.03 |
% 71.11/40.03 | Combining equations (685,684) yields a new equation:
% 71.11/40.03 | (691) all_95_3_167 = all_73_1_52
% 71.11/40.03 |
% 71.11/40.03 | Simplifying 691 yields:
% 71.11/40.03 | (692) all_95_3_167 = all_73_1_52
% 71.11/40.03 |
% 71.11/40.03 | Combining equations (690,688) yields a new equation:
% 71.11/40.03 | (693) all_73_1_52 = all_73_4_55
% 71.11/40.03 |
% 71.11/40.03 | Simplifying 693 yields:
% 71.11/40.03 | (694) all_73_1_52 = all_73_4_55
% 71.11/40.03 |
% 71.11/40.03 | Combining equations (692,687) yields a new equation:
% 71.11/40.03 | (695) all_73_1_52 = sz00
% 71.11/40.03 |
% 71.11/40.03 | Simplifying 695 yields:
% 71.11/40.03 | (696) all_73_1_52 = sz00
% 71.11/40.03 |
% 71.11/40.03 | Combining equations (694,696) yields a new equation:
% 71.11/40.03 | (697) all_73_4_55 = sz00
% 71.11/40.03 |
% 71.11/40.03 | Simplifying 697 yields:
% 71.11/40.03 | (698) all_73_4_55 = sz00
% 71.11/40.03 |
% 71.11/40.03 | From (698) and (396) follows:
% 71.11/40.03 | (699) sdtasdt0(xx, sz00) = sz00
% 71.11/40.03 |
% 71.11/40.03 | From (696) and (394) follows:
% 71.11/40.03 | (700) sdtasdt0(sz00, xx) = sz00
% 71.11/40.03 |
% 71.11/40.03 +-Applying beta-rule and splitting (12), into two cases.
% 71.11/40.03 |-Branch one:
% 71.11/40.03 | (701) ~ (all_0_0_0 = sz00) & sdtasdt0(sz00, xx) = all_0_0_0
% 71.11/40.03 |
% 71.11/40.03 | Applying alpha-rule on (701) yields:
% 71.11/40.03 | (702) ~ (all_0_0_0 = sz00)
% 71.11/40.03 | (703) sdtasdt0(sz00, xx) = all_0_0_0
% 71.11/40.03 |
% 71.11/40.03 | Instantiating formula (7) with sz00, xx, all_0_0_0, sz00 and discharging atoms sdtasdt0(sz00, xx) = all_0_0_0, sdtasdt0(sz00, xx) = sz00, yields:
% 71.11/40.03 | (704) all_0_0_0 = sz00
% 71.11/40.03 |
% 71.11/40.03 | Equations (704) can reduce 702 to:
% 71.11/40.03 | (705) $false
% 71.11/40.03 |
% 71.11/40.03 |-The branch is then unsatisfiable
% 71.11/40.03 |-Branch two:
% 71.11/40.03 | (706) ~ (all_0_1_1 = sz00) & sdtasdt0(xx, sz00) = all_0_1_1
% 71.11/40.03 |
% 71.11/40.03 | Applying alpha-rule on (706) yields:
% 71.11/40.03 | (707) ~ (all_0_1_1 = sz00)
% 71.11/40.03 | (708) sdtasdt0(xx, sz00) = all_0_1_1
% 71.11/40.03 |
% 71.11/40.03 | Instantiating formula (7) with xx, sz00, all_0_1_1, sz00 and discharging atoms sdtasdt0(xx, sz00) = all_0_1_1, sdtasdt0(xx, sz00) = sz00, yields:
% 71.11/40.03 | (709) all_0_1_1 = sz00
% 71.11/40.03 |
% 71.11/40.04 | Equations (709) can reduce 707 to:
% 71.11/40.04 | (705) $false
% 71.11/40.04 |
% 71.11/40.04 |-The branch is then unsatisfiable
% 71.11/40.04 |-Branch two:
% 71.11/40.04 | (711) ~ (all_164_5_450 = 0) & aElement0(all_0_2_2) = all_164_5_450
% 71.11/40.04 |
% 71.11/40.04 | Applying alpha-rule on (711) yields:
% 71.11/40.04 | (712) ~ (all_164_5_450 = 0)
% 71.11/40.04 | (713) aElement0(all_0_2_2) = all_164_5_450
% 71.11/40.04 |
% 71.11/40.04 | Instantiating formula (20) with all_0_2_2, all_164_5_450, 0 and discharging atoms aElement0(all_0_2_2) = all_164_5_450, aElement0(all_0_2_2) = 0, yields:
% 71.11/40.04 | (714) all_164_5_450 = 0
% 71.11/40.04 |
% 71.11/40.04 | Equations (714) can reduce 712 to:
% 71.11/40.04 | (705) $false
% 71.11/40.04 |
% 71.11/40.04 |-The branch is then unsatisfiable
% 71.11/40.04 |-Branch two:
% 71.11/40.04 | (716) ~ (all_164_5_450 = 0) & aElement0(sz10) = all_164_5_450
% 71.11/40.04 |
% 71.11/40.04 | Applying alpha-rule on (716) yields:
% 71.11/40.04 | (712) ~ (all_164_5_450 = 0)
% 71.11/40.04 | (718) aElement0(sz10) = all_164_5_450
% 71.11/40.04 |
% 71.11/40.04 | Instantiating formula (20) with sz10, all_164_5_450, 0 and discharging atoms aElement0(sz10) = all_164_5_450, aElement0(sz10) = 0, yields:
% 71.11/40.04 | (714) all_164_5_450 = 0
% 71.11/40.04 |
% 71.11/40.04 | Equations (714) can reduce 712 to:
% 71.11/40.04 | (705) $false
% 71.11/40.04 |
% 71.11/40.04 |-The branch is then unsatisfiable
% 71.11/40.04 |-Branch two:
% 71.11/40.04 | (721) ~ (all_164_5_450 = 0) & aElement0(sz00) = all_164_5_450
% 71.11/40.04 |
% 71.11/40.04 | Applying alpha-rule on (721) yields:
% 71.11/40.04 | (712) ~ (all_164_5_450 = 0)
% 71.11/40.04 | (723) aElement0(sz00) = all_164_5_450
% 71.11/40.04 |
% 71.11/40.04 | Instantiating formula (20) with sz00, all_164_5_450, 0 and discharging atoms aElement0(sz00) = all_164_5_450, aElement0(sz00) = 0, yields:
% 71.11/40.04 | (714) all_164_5_450 = 0
% 71.11/40.04 |
% 71.11/40.04 | Equations (714) can reduce 712 to:
% 71.11/40.04 | (705) $false
% 71.11/40.04 |
% 71.11/40.04 |-The branch is then unsatisfiable
% 71.11/40.04 |-Branch two:
% 71.11/40.04 | (726) ~ (all_151_6_396 = 0) & aElement0(all_0_2_2) = all_151_6_396
% 71.11/40.04 |
% 71.11/40.04 | Applying alpha-rule on (726) yields:
% 71.11/40.04 | (727) ~ (all_151_6_396 = 0)
% 71.11/40.04 | (728) aElement0(all_0_2_2) = all_151_6_396
% 71.11/40.04 |
% 71.11/40.04 | Instantiating formula (20) with all_0_2_2, all_151_6_396, 0 and discharging atoms aElement0(all_0_2_2) = all_151_6_396, aElement0(all_0_2_2) = 0, yields:
% 71.11/40.04 | (729) all_151_6_396 = 0
% 71.11/40.04 |
% 71.11/40.04 | Equations (729) can reduce 727 to:
% 71.11/40.04 | (705) $false
% 71.11/40.04 |
% 71.11/40.04 |-The branch is then unsatisfiable
% 71.11/40.04 |-Branch two:
% 71.11/40.04 | (731) ~ (all_151_6_396 = 0) & aElement0(xx) = all_151_6_396
% 71.11/40.04 |
% 71.11/40.04 | Applying alpha-rule on (731) yields:
% 71.11/40.04 | (727) ~ (all_151_6_396 = 0)
% 71.11/40.04 | (733) aElement0(xx) = all_151_6_396
% 71.11/40.04 |
% 71.11/40.04 | Instantiating formula (20) with xx, all_151_6_396, 0 and discharging atoms aElement0(xx) = all_151_6_396, aElement0(xx) = 0, yields:
% 71.11/40.04 | (729) all_151_6_396 = 0
% 71.11/40.04 |
% 71.11/40.04 | Equations (729) can reduce 727 to:
% 71.11/40.04 | (705) $false
% 71.11/40.04 |
% 71.11/40.04 |-The branch is then unsatisfiable
% 71.11/40.04 |-Branch two:
% 71.11/40.04 | (736) ~ (all_151_6_396 = 0) & aElement0(sz00) = all_151_6_396
% 71.11/40.04 |
% 71.11/40.04 | Applying alpha-rule on (736) yields:
% 71.11/40.04 | (727) ~ (all_151_6_396 = 0)
% 71.11/40.04 | (738) aElement0(sz00) = all_151_6_396
% 71.11/40.04 |
% 71.11/40.04 | Instantiating formula (20) with sz00, all_151_6_396, 0 and discharging atoms aElement0(sz00) = all_151_6_396, aElement0(sz00) = 0, yields:
% 71.11/40.04 | (729) all_151_6_396 = 0
% 71.11/40.04 |
% 71.11/40.04 | Equations (729) can reduce 727 to:
% 71.11/40.04 | (705) $false
% 71.11/40.04 |
% 71.11/40.04 |-The branch is then unsatisfiable
% 71.11/40.04 |-Branch two:
% 71.11/40.04 | (741) ~ (all_143_5_350 = 0) & aElement0(all_0_2_2) = all_143_5_350
% 71.11/40.04 |
% 71.11/40.04 | Applying alpha-rule on (741) yields:
% 71.11/40.04 | (742) ~ (all_143_5_350 = 0)
% 71.11/40.04 | (743) aElement0(all_0_2_2) = all_143_5_350
% 71.11/40.04 |
% 71.11/40.04 | Instantiating formula (20) with all_0_2_2, all_143_5_350, 0 and discharging atoms aElement0(all_0_2_2) = all_143_5_350, aElement0(all_0_2_2) = 0, yields:
% 71.11/40.04 | (744) all_143_5_350 = 0
% 71.11/40.04 |
% 71.11/40.04 | Equations (744) can reduce 742 to:
% 71.11/40.04 | (705) $false
% 71.11/40.04 |
% 71.11/40.04 |-The branch is then unsatisfiable
% 71.11/40.04 |-Branch two:
% 71.11/40.04 | (746) ~ (all_143_5_350 = 0) & aElement0(sz10) = all_143_5_350
% 71.11/40.04 |
% 71.11/40.04 | Applying alpha-rule on (746) yields:
% 71.11/40.04 | (742) ~ (all_143_5_350 = 0)
% 71.11/40.04 | (748) aElement0(sz10) = all_143_5_350
% 71.11/40.04 |
% 71.11/40.04 | Instantiating formula (20) with sz10, all_143_5_350, 0 and discharging atoms aElement0(sz10) = all_143_5_350, aElement0(sz10) = 0, yields:
% 71.11/40.04 | (744) all_143_5_350 = 0
% 71.11/40.04 |
% 71.11/40.04 | Equations (744) can reduce 742 to:
% 71.11/40.04 | (705) $false
% 71.11/40.04 |
% 71.11/40.04 |-The branch is then unsatisfiable
% 71.11/40.04 |-Branch two:
% 71.11/40.04 | (751) ~ (all_143_5_350 = 0) & aElement0(sz00) = all_143_5_350
% 71.11/40.04 |
% 71.11/40.04 | Applying alpha-rule on (751) yields:
% 71.11/40.04 | (742) ~ (all_143_5_350 = 0)
% 71.11/40.04 | (753) aElement0(sz00) = all_143_5_350
% 71.11/40.04 |
% 71.11/40.04 | Instantiating formula (20) with sz00, all_143_5_350, 0 and discharging atoms aElement0(sz00) = all_143_5_350, aElement0(sz00) = 0, yields:
% 71.11/40.04 | (744) all_143_5_350 = 0
% 71.11/40.04 |
% 71.11/40.04 | Equations (744) can reduce 742 to:
% 71.11/40.04 | (705) $false
% 71.11/40.04 |
% 71.11/40.04 |-The branch is then unsatisfiable
% 71.11/40.04 |-Branch two:
% 71.11/40.04 | (756) ~ (all_127_1_276 = 0) & aElement0(all_23_0_16) = all_127_1_276
% 71.11/40.04 |
% 71.11/40.04 | Applying alpha-rule on (756) yields:
% 71.11/40.04 | (757) ~ (all_127_1_276 = 0)
% 71.11/40.04 | (758) aElement0(all_23_0_16) = all_127_1_276
% 71.11/40.04 |
% 71.11/40.04 | Instantiating formula (20) with all_23_0_16, all_127_1_276, 0 and discharging atoms aElement0(all_23_0_16) = all_127_1_276, aElement0(all_23_0_16) = 0, yields:
% 71.11/40.04 | (759) all_127_1_276 = 0
% 71.11/40.04 |
% 71.11/40.04 | Equations (759) can reduce 757 to:
% 71.11/40.04 | (705) $false
% 71.11/40.04 |
% 71.11/40.04 |-The branch is then unsatisfiable
% 71.11/40.04 |-Branch two:
% 71.11/40.04 | (761) ~ (all_127_1_276 = 0) & aElement0(xx) = all_127_1_276
% 71.11/40.04 |
% 71.11/40.04 | Applying alpha-rule on (761) yields:
% 71.11/40.04 | (757) ~ (all_127_1_276 = 0)
% 71.11/40.04 | (763) aElement0(xx) = all_127_1_276
% 71.11/40.04 |
% 71.11/40.04 | Instantiating formula (20) with xx, all_127_1_276, 0 and discharging atoms aElement0(xx) = all_127_1_276, aElement0(xx) = 0, yields:
% 71.11/40.04 | (759) all_127_1_276 = 0
% 71.11/40.04 |
% 71.11/40.04 | Equations (759) can reduce 757 to:
% 71.11/40.04 | (705) $false
% 71.11/40.04 |
% 71.11/40.04 |-The branch is then unsatisfiable
% 71.11/40.04 |-Branch two:
% 71.11/40.04 | (766) ~ (all_127_1_276 = 0) & aElement0(sz00) = all_127_1_276
% 71.11/40.04 |
% 71.11/40.04 | Applying alpha-rule on (766) yields:
% 71.11/40.04 | (757) ~ (all_127_1_276 = 0)
% 71.11/40.04 | (768) aElement0(sz00) = all_127_1_276
% 71.11/40.04 |
% 71.11/40.04 | Instantiating formula (20) with sz00, all_127_1_276, 0 and discharging atoms aElement0(sz00) = all_127_1_276, aElement0(sz00) = 0, yields:
% 71.11/40.04 | (759) all_127_1_276 = 0
% 71.11/40.04 |
% 71.11/40.04 | Equations (759) can reduce 757 to:
% 71.11/40.04 | (705) $false
% 71.11/40.04 |
% 71.11/40.04 |-The branch is then unsatisfiable
% 71.11/40.04 |-Branch two:
% 71.11/40.04 | (771) ~ (all_136_1_322 = 0) & aElement0(all_23_0_16) = all_136_1_322
% 71.11/40.04 |
% 71.11/40.04 | Applying alpha-rule on (771) yields:
% 71.11/40.04 | (772) ~ (all_136_1_322 = 0)
% 71.11/40.04 | (773) aElement0(all_23_0_16) = all_136_1_322
% 71.11/40.04 |
% 71.11/40.04 | Instantiating formula (20) with all_23_0_16, all_136_1_322, 0 and discharging atoms aElement0(all_23_0_16) = all_136_1_322, aElement0(all_23_0_16) = 0, yields:
% 71.11/40.04 | (774) all_136_1_322 = 0
% 71.11/40.04 |
% 71.11/40.04 | Equations (774) can reduce 772 to:
% 71.11/40.04 | (705) $false
% 71.11/40.04 |
% 71.11/40.04 |-The branch is then unsatisfiable
% 71.11/40.04 |-Branch two:
% 71.11/40.04 | (776) ~ (all_136_1_322 = 0) & aElement0(xx) = all_136_1_322
% 71.11/40.04 |
% 71.11/40.04 | Applying alpha-rule on (776) yields:
% 71.11/40.04 | (772) ~ (all_136_1_322 = 0)
% 71.11/40.04 | (778) aElement0(xx) = all_136_1_322
% 71.11/40.04 |
% 71.11/40.04 | Instantiating formula (20) with xx, all_136_1_322, 0 and discharging atoms aElement0(xx) = all_136_1_322, aElement0(xx) = 0, yields:
% 71.11/40.04 | (774) all_136_1_322 = 0
% 71.11/40.04 |
% 71.11/40.04 | Equations (774) can reduce 772 to:
% 71.11/40.04 | (705) $false
% 71.11/40.04 |
% 71.11/40.04 |-The branch is then unsatisfiable
% 71.11/40.04 |-Branch two:
% 71.11/40.04 | (781) ~ (all_136_1_322 = 0) & aElement0(sz00) = all_136_1_322
% 71.11/40.04 |
% 71.11/40.04 | Applying alpha-rule on (781) yields:
% 71.11/40.04 | (772) ~ (all_136_1_322 = 0)
% 71.11/40.04 | (783) aElement0(sz00) = all_136_1_322
% 71.11/40.04 |
% 71.11/40.04 | Instantiating formula (20) with sz00, all_136_1_322, 0 and discharging atoms aElement0(sz00) = all_136_1_322, aElement0(sz00) = 0, yields:
% 71.11/40.04 | (774) all_136_1_322 = 0
% 71.11/40.04 |
% 71.11/40.04 | Equations (774) can reduce 772 to:
% 71.11/40.04 | (705) $false
% 71.11/40.04 |
% 71.11/40.04 |-The branch is then unsatisfiable
% 71.11/40.04 |-Branch two:
% 71.11/40.04 | (786) ~ (all_105_5_223 = 0) & aElement0(all_0_2_2) = all_105_5_223
% 71.11/40.04 |
% 71.11/40.04 | Applying alpha-rule on (786) yields:
% 71.11/40.04 | (787) ~ (all_105_5_223 = 0)
% 71.11/40.04 | (788) aElement0(all_0_2_2) = all_105_5_223
% 71.11/40.04 |
% 71.11/40.04 | Instantiating formula (20) with all_0_2_2, all_105_5_223, 0 and discharging atoms aElement0(all_0_2_2) = all_105_5_223, aElement0(all_0_2_2) = 0, yields:
% 71.11/40.04 | (789) all_105_5_223 = 0
% 71.11/40.04 |
% 71.11/40.04 | Equations (789) can reduce 787 to:
% 71.11/40.04 | (705) $false
% 71.11/40.04 |
% 71.11/40.04 |-The branch is then unsatisfiable
% 71.11/40.04 |-Branch two:
% 71.11/40.04 | (791) ~ (all_105_5_223 = 0) & aElement0(xx) = all_105_5_223
% 71.11/40.04 |
% 71.11/40.04 | Applying alpha-rule on (791) yields:
% 71.11/40.04 | (787) ~ (all_105_5_223 = 0)
% 71.11/40.04 | (793) aElement0(xx) = all_105_5_223
% 71.11/40.04 |
% 71.11/40.04 | Instantiating formula (20) with xx, all_105_5_223, 0 and discharging atoms aElement0(xx) = all_105_5_223, aElement0(xx) = 0, yields:
% 71.11/40.04 | (789) all_105_5_223 = 0
% 71.11/40.04 |
% 71.11/40.04 | Equations (789) can reduce 787 to:
% 71.11/40.04 | (705) $false
% 71.11/40.04 |
% 71.11/40.04 |-The branch is then unsatisfiable
% 71.11/40.04 |-Branch two:
% 71.11/40.04 | (796) ~ (all_105_5_223 = 0) & aElement0(sz10) = all_105_5_223
% 71.11/40.04 |
% 71.11/40.04 | Applying alpha-rule on (796) yields:
% 71.11/40.04 | (787) ~ (all_105_5_223 = 0)
% 71.11/40.04 | (798) aElement0(sz10) = all_105_5_223
% 71.11/40.04 |
% 71.11/40.04 | Instantiating formula (20) with sz10, all_105_5_223, 0 and discharging atoms aElement0(sz10) = all_105_5_223, aElement0(sz10) = 0, yields:
% 71.11/40.04 | (789) all_105_5_223 = 0
% 71.11/40.04 |
% 71.11/40.04 | Equations (789) can reduce 787 to:
% 71.11/40.04 | (705) $false
% 71.11/40.04 |
% 71.11/40.04 |-The branch is then unsatisfiable
% 71.11/40.04 |-Branch two:
% 71.11/40.04 | (801) ~ (all_113_5_252 = 0) & aElement0(all_0_2_2) = all_113_5_252
% 71.11/40.05 |
% 71.11/40.05 | Applying alpha-rule on (801) yields:
% 71.11/40.05 | (802) ~ (all_113_5_252 = 0)
% 71.11/40.05 | (803) aElement0(all_0_2_2) = all_113_5_252
% 71.11/40.05 |
% 71.11/40.05 | Instantiating formula (20) with all_0_2_2, all_113_5_252, 0 and discharging atoms aElement0(all_0_2_2) = all_113_5_252, aElement0(all_0_2_2) = 0, yields:
% 71.11/40.05 | (804) all_113_5_252 = 0
% 71.11/40.05 |
% 71.11/40.05 | Equations (804) can reduce 802 to:
% 71.11/40.05 | (705) $false
% 71.11/40.05 |
% 71.11/40.05 |-The branch is then unsatisfiable
% 71.11/40.05 |-Branch two:
% 71.11/40.05 | (806) ~ (all_113_5_252 = 0) & aElement0(xx) = all_113_5_252
% 71.11/40.05 |
% 71.11/40.05 | Applying alpha-rule on (806) yields:
% 71.11/40.05 | (802) ~ (all_113_5_252 = 0)
% 71.11/40.05 | (808) aElement0(xx) = all_113_5_252
% 71.11/40.05 |
% 71.11/40.05 | Instantiating formula (20) with xx, all_113_5_252, 0 and discharging atoms aElement0(xx) = all_113_5_252, aElement0(xx) = 0, yields:
% 71.11/40.05 | (804) all_113_5_252 = 0
% 71.11/40.05 |
% 71.11/40.05 | Equations (804) can reduce 802 to:
% 71.11/40.05 | (705) $false
% 71.11/40.05 |
% 71.11/40.05 |-The branch is then unsatisfiable
% 71.11/40.05 |-Branch two:
% 71.11/40.05 | (811) ~ (all_113_5_252 = 0) & aElement0(sz10) = all_113_5_252
% 71.11/40.05 |
% 71.11/40.05 | Applying alpha-rule on (811) yields:
% 71.11/40.05 | (802) ~ (all_113_5_252 = 0)
% 71.11/40.05 | (813) aElement0(sz10) = all_113_5_252
% 71.11/40.05 |
% 71.11/40.05 | Instantiating formula (20) with sz10, all_113_5_252, 0 and discharging atoms aElement0(sz10) = all_113_5_252, aElement0(sz10) = 0, yields:
% 71.11/40.05 | (804) all_113_5_252 = 0
% 71.11/40.05 |
% 71.11/40.05 | Equations (804) can reduce 802 to:
% 71.11/40.05 | (705) $false
% 71.11/40.05 |
% 71.11/40.05 |-The branch is then unsatisfiable
% 71.11/40.05 |-Branch two:
% 71.11/40.05 | (816) ~ (all_104_6_217 = 0) & aElement0(all_23_0_16) = all_104_6_217
% 71.11/40.05 |
% 71.11/40.05 | Applying alpha-rule on (816) yields:
% 71.11/40.05 | (817) ~ (all_104_6_217 = 0)
% 71.11/40.05 | (818) aElement0(all_23_0_16) = all_104_6_217
% 71.11/40.05 |
% 71.11/40.05 | Instantiating formula (20) with all_23_0_16, all_104_6_217, 0 and discharging atoms aElement0(all_23_0_16) = all_104_6_217, aElement0(all_23_0_16) = 0, yields:
% 71.11/40.05 | (819) all_104_6_217 = 0
% 71.11/40.05 |
% 71.11/40.05 | Equations (819) can reduce 817 to:
% 71.11/40.05 | (705) $false
% 71.11/40.05 |
% 71.11/40.05 |-The branch is then unsatisfiable
% 71.11/40.05 |-Branch two:
% 71.11/40.05 | (821) ~ (all_104_6_217 = 0) & aElement0(xx) = all_104_6_217
% 71.11/40.05 |
% 71.11/40.05 | Applying alpha-rule on (821) yields:
% 71.11/40.05 | (817) ~ (all_104_6_217 = 0)
% 71.11/40.05 | (823) aElement0(xx) = all_104_6_217
% 71.11/40.05 |
% 71.11/40.05 | Instantiating formula (20) with xx, all_104_6_217, 0 and discharging atoms aElement0(xx) = all_104_6_217, aElement0(xx) = 0, yields:
% 71.11/40.05 | (819) all_104_6_217 = 0
% 71.11/40.05 |
% 71.11/40.05 | Equations (819) can reduce 817 to:
% 71.11/40.05 | (705) $false
% 71.11/40.05 |
% 71.11/40.05 |-The branch is then unsatisfiable
% 71.11/40.05 |-Branch two:
% 71.11/40.05 | (826) ~ (all_104_6_217 = 0) & aElement0(sz10) = all_104_6_217
% 71.11/40.05 |
% 71.11/40.05 | Applying alpha-rule on (826) yields:
% 71.11/40.05 | (817) ~ (all_104_6_217 = 0)
% 71.11/40.05 | (828) aElement0(sz10) = all_104_6_217
% 71.11/40.05 |
% 71.11/40.05 | Instantiating formula (20) with sz10, all_104_6_217, 0 and discharging atoms aElement0(sz10) = all_104_6_217, aElement0(sz10) = 0, yields:
% 71.11/40.05 | (819) all_104_6_217 = 0
% 71.11/40.05 |
% 71.11/40.05 | Equations (819) can reduce 817 to:
% 71.11/40.05 | (705) $false
% 71.11/40.05 |
% 71.11/40.05 |-The branch is then unsatisfiable
% 71.11/40.05 |-Branch two:
% 71.11/40.05 | (831) ~ (all_82_6_109 = 0) & aElement0(all_0_2_2) = all_82_6_109
% 71.11/40.05 |
% 71.11/40.05 | Applying alpha-rule on (831) yields:
% 71.11/40.05 | (832) ~ (all_82_6_109 = 0)
% 71.11/40.05 | (833) aElement0(all_0_2_2) = all_82_6_109
% 71.11/40.05 |
% 71.11/40.05 | Instantiating formula (20) with all_0_2_2, all_82_6_109, 0 and discharging atoms aElement0(all_0_2_2) = all_82_6_109, aElement0(all_0_2_2) = 0, yields:
% 71.11/40.05 | (834) all_82_6_109 = 0
% 71.11/40.05 |
% 71.11/40.05 | Equations (834) can reduce 832 to:
% 71.11/40.05 | (705) $false
% 71.11/40.05 |
% 71.11/40.05 |-The branch is then unsatisfiable
% 71.11/40.05 |-Branch two:
% 71.11/40.05 | (836) ~ (all_82_6_109 = 0) & aElement0(xx) = all_82_6_109
% 71.11/40.05 |
% 71.11/40.05 | Applying alpha-rule on (836) yields:
% 71.11/40.05 | (832) ~ (all_82_6_109 = 0)
% 71.11/40.05 | (838) aElement0(xx) = all_82_6_109
% 71.11/40.05 |
% 71.11/40.05 | Instantiating formula (20) with xx, all_82_6_109, 0 and discharging atoms aElement0(xx) = all_82_6_109, aElement0(xx) = 0, yields:
% 71.11/40.05 | (834) all_82_6_109 = 0
% 71.11/40.05 |
% 71.11/40.05 | Equations (834) can reduce 832 to:
% 71.11/40.05 | (705) $false
% 71.11/40.05 |
% 71.11/40.05 |-The branch is then unsatisfiable
% 71.11/40.05 |-Branch two:
% 71.11/40.05 | (841) ~ (all_82_6_109 = 0) & aElement0(sz00) = all_82_6_109
% 71.11/40.05 |
% 71.11/40.05 | Applying alpha-rule on (841) yields:
% 71.11/40.05 | (832) ~ (all_82_6_109 = 0)
% 71.11/40.05 | (843) aElement0(sz00) = all_82_6_109
% 71.11/40.05 |
% 71.11/40.05 | Instantiating formula (20) with sz00, all_82_6_109, 0 and discharging atoms aElement0(sz00) = all_82_6_109, aElement0(sz00) = 0, yields:
% 71.11/40.05 | (834) all_82_6_109 = 0
% 71.11/40.05 |
% 71.11/40.05 | Equations (834) can reduce 832 to:
% 71.11/40.05 | (705) $false
% 71.11/40.05 |
% 71.11/40.05 |-The branch is then unsatisfiable
% 71.11/40.05 |-Branch two:
% 71.11/40.05 | (846) ~ (all_73_6_57 = 0) & aElement0(xx) = all_73_6_57
% 71.11/40.05 |
% 71.11/40.05 | Applying alpha-rule on (846) yields:
% 71.11/40.05 | (847) ~ (all_73_6_57 = 0)
% 71.11/40.05 | (848) aElement0(xx) = all_73_6_57
% 71.11/40.05 |
% 71.11/40.05 | Instantiating formula (20) with xx, all_73_6_57, 0 and discharging atoms aElement0(xx) = all_73_6_57, aElement0(xx) = 0, yields:
% 71.11/40.05 | (849) all_73_6_57 = 0
% 71.11/40.05 |
% 71.11/40.05 | Equations (849) can reduce 847 to:
% 71.11/40.05 | (705) $false
% 71.11/40.05 |
% 71.11/40.05 |-The branch is then unsatisfiable
% 71.11/40.05 |-Branch two:
% 71.11/40.05 | (851) ~ (all_73_6_57 = 0) & aElement0(sz10) = all_73_6_57
% 71.11/40.05 |
% 71.11/40.05 | Applying alpha-rule on (851) yields:
% 71.11/40.05 | (847) ~ (all_73_6_57 = 0)
% 71.11/40.05 | (853) aElement0(sz10) = all_73_6_57
% 71.11/40.05 |
% 71.11/40.05 | Instantiating formula (20) with sz10, all_73_6_57, 0 and discharging atoms aElement0(sz10) = all_73_6_57, aElement0(sz10) = 0, yields:
% 71.11/40.05 | (849) all_73_6_57 = 0
% 71.11/40.05 |
% 71.11/40.05 | Equations (849) can reduce 847 to:
% 71.11/40.05 | (705) $false
% 71.11/40.05 |
% 71.11/40.05 |-The branch is then unsatisfiable
% 71.11/40.05 |-Branch two:
% 71.11/40.05 | (856) ~ (all_73_6_57 = 0) & aElement0(sz00) = all_73_6_57
% 71.11/40.05 |
% 71.11/40.05 | Applying alpha-rule on (856) yields:
% 71.11/40.05 | (847) ~ (all_73_6_57 = 0)
% 71.11/40.05 | (858) aElement0(sz00) = all_73_6_57
% 71.11/40.05 |
% 71.11/40.05 | Instantiating formula (20) with sz00, all_73_6_57, 0 and discharging atoms aElement0(sz00) = all_73_6_57, aElement0(sz00) = 0, yields:
% 71.11/40.05 | (849) all_73_6_57 = 0
% 71.11/40.05 |
% 71.11/40.05 | Equations (849) can reduce 847 to:
% 71.11/40.05 | (705) $false
% 71.11/40.05 |
% 71.11/40.05 |-The branch is then unsatisfiable
% 71.11/40.05 |-Branch two:
% 71.11/40.05 | (861) ~ (all_103_1_210 = 0) & aElement0(all_0_2_2) = all_103_1_210
% 71.11/40.05 |
% 71.11/40.05 | Applying alpha-rule on (861) yields:
% 71.11/40.05 | (862) ~ (all_103_1_210 = 0)
% 71.11/40.05 | (863) aElement0(all_0_2_2) = all_103_1_210
% 71.11/40.05 |
% 71.11/40.05 | Instantiating formula (20) with all_0_2_2, all_103_1_210, 0 and discharging atoms aElement0(all_0_2_2) = all_103_1_210, aElement0(all_0_2_2) = 0, yields:
% 71.11/40.05 | (864) all_103_1_210 = 0
% 71.11/40.05 |
% 71.11/40.05 | Equations (864) can reduce 862 to:
% 71.11/40.05 | (705) $false
% 71.11/40.05 |
% 71.11/40.05 |-The branch is then unsatisfiable
% 71.11/40.05 |-Branch two:
% 71.11/40.05 | (866) ~ (all_103_1_210 = 0) & aElement0(xx) = all_103_1_210
% 71.11/40.05 |
% 71.11/40.05 | Applying alpha-rule on (866) yields:
% 71.11/40.05 | (862) ~ (all_103_1_210 = 0)
% 71.11/40.05 | (868) aElement0(xx) = all_103_1_210
% 71.11/40.05 |
% 71.11/40.05 | Instantiating formula (20) with xx, all_103_1_210, 0 and discharging atoms aElement0(xx) = all_103_1_210, aElement0(xx) = 0, yields:
% 71.11/40.05 | (864) all_103_1_210 = 0
% 71.11/40.05 |
% 71.11/40.05 | Equations (864) can reduce 862 to:
% 71.11/40.05 | (705) $false
% 71.11/40.05 |
% 71.11/40.05 |-The branch is then unsatisfiable
% 71.11/40.05 |-Branch two:
% 71.11/40.05 | (871) ~ (all_103_1_210 = 0) & aElement0(sz10) = all_103_1_210
% 71.11/40.05 |
% 71.11/40.05 | Applying alpha-rule on (871) yields:
% 71.11/40.05 | (862) ~ (all_103_1_210 = 0)
% 71.11/40.05 | (873) aElement0(sz10) = all_103_1_210
% 71.11/40.05 |
% 71.11/40.05 | Instantiating formula (20) with sz10, all_103_1_210, 0 and discharging atoms aElement0(sz10) = all_103_1_210, aElement0(sz10) = 0, yields:
% 71.11/40.05 | (864) all_103_1_210 = 0
% 71.11/40.05 |
% 71.11/40.05 | Equations (864) can reduce 862 to:
% 71.11/40.05 | (705) $false
% 71.11/40.05 |
% 71.11/40.05 |-The branch is then unsatisfiable
% 71.11/40.05 |-Branch two:
% 71.11/40.05 | (876) ~ (all_100_6_204 = 0) & aElement0(all_23_0_16) = all_100_6_204
% 71.11/40.05 |
% 71.11/40.05 | Applying alpha-rule on (876) yields:
% 71.11/40.05 | (877) ~ (all_100_6_204 = 0)
% 71.11/40.05 | (878) aElement0(all_23_0_16) = all_100_6_204
% 71.11/40.05 |
% 71.11/40.05 | Instantiating formula (20) with all_23_0_16, all_100_6_204, 0 and discharging atoms aElement0(all_23_0_16) = all_100_6_204, aElement0(all_23_0_16) = 0, yields:
% 71.11/40.05 | (879) all_100_6_204 = 0
% 71.11/40.05 |
% 71.11/40.05 | Equations (879) can reduce 877 to:
% 71.11/40.05 | (705) $false
% 71.11/40.05 |
% 71.11/40.05 |-The branch is then unsatisfiable
% 71.11/40.05 |-Branch two:
% 71.11/40.05 | (881) ~ (all_100_6_204 = 0) & aElement0(xx) = all_100_6_204
% 71.11/40.05 |
% 71.11/40.05 | Applying alpha-rule on (881) yields:
% 71.11/40.05 | (877) ~ (all_100_6_204 = 0)
% 71.11/40.05 | (883) aElement0(xx) = all_100_6_204
% 71.11/40.05 |
% 71.11/40.05 | Instantiating formula (20) with xx, all_100_6_204, 0 and discharging atoms aElement0(xx) = all_100_6_204, aElement0(xx) = 0, yields:
% 71.11/40.05 | (879) all_100_6_204 = 0
% 71.11/40.05 |
% 71.11/40.05 | Equations (879) can reduce 877 to:
% 71.11/40.05 | (705) $false
% 71.11/40.05 |
% 71.11/40.05 |-The branch is then unsatisfiable
% 71.11/40.05 |-Branch two:
% 71.11/40.05 | (886) ~ (all_100_6_204 = 0) & aElement0(sz10) = all_100_6_204
% 71.11/40.05 |
% 71.11/40.05 | Applying alpha-rule on (886) yields:
% 71.11/40.05 | (877) ~ (all_100_6_204 = 0)
% 71.11/40.05 | (888) aElement0(sz10) = all_100_6_204
% 71.11/40.05 |
% 71.11/40.05 | Instantiating formula (20) with sz10, all_100_6_204, 0 and discharging atoms aElement0(sz10) = all_100_6_204, aElement0(sz10) = 0, yields:
% 71.11/40.05 | (879) all_100_6_204 = 0
% 71.11/40.05 |
% 71.11/40.05 | Equations (879) can reduce 877 to:
% 71.11/40.05 | (705) $false
% 71.11/40.05 |
% 71.11/40.05 |-The branch is then unsatisfiable
% 71.11/40.05 |-Branch two:
% 71.11/40.05 | (891) ~ (all_83_6_116 = 0) & aElement0(all_0_2_2) = all_83_6_116
% 71.11/40.05 |
% 71.11/40.05 | Applying alpha-rule on (891) yields:
% 71.11/40.05 | (892) ~ (all_83_6_116 = 0)
% 71.11/40.05 | (893) aElement0(all_0_2_2) = all_83_6_116
% 71.11/40.05 |
% 71.11/40.05 | Instantiating formula (20) with all_0_2_2, all_83_6_116, 0 and discharging atoms aElement0(all_0_2_2) = all_83_6_116, aElement0(all_0_2_2) = 0, yields:
% 71.11/40.05 | (894) all_83_6_116 = 0
% 71.11/40.05 |
% 71.11/40.05 | Equations (894) can reduce 892 to:
% 71.11/40.05 | (705) $false
% 71.11/40.05 |
% 71.11/40.05 |-The branch is then unsatisfiable
% 71.11/40.05 |-Branch two:
% 71.11/40.05 | (896) ~ (all_83_6_116 = 0) & aElement0(xx) = all_83_6_116
% 71.11/40.05 |
% 71.11/40.05 | Applying alpha-rule on (896) yields:
% 71.11/40.05 | (892) ~ (all_83_6_116 = 0)
% 71.11/40.05 | (898) aElement0(xx) = all_83_6_116
% 71.11/40.05 |
% 71.11/40.05 | Instantiating formula (20) with xx, all_83_6_116, 0 and discharging atoms aElement0(xx) = all_83_6_116, aElement0(xx) = 0, yields:
% 71.11/40.05 | (894) all_83_6_116 = 0
% 71.11/40.05 |
% 71.11/40.05 | Equations (894) can reduce 892 to:
% 71.11/40.05 | (705) $false
% 71.11/40.05 |
% 71.11/40.05 |-The branch is then unsatisfiable
% 71.11/40.05 |-Branch two:
% 71.11/40.05 | (901) ~ (all_83_6_116 = 0) & aElement0(sz00) = all_83_6_116
% 71.11/40.05 |
% 71.11/40.05 | Applying alpha-rule on (901) yields:
% 71.11/40.05 | (892) ~ (all_83_6_116 = 0)
% 71.11/40.06 | (903) aElement0(sz00) = all_83_6_116
% 71.11/40.06 |
% 71.11/40.06 | Instantiating formula (20) with sz00, all_83_6_116, 0 and discharging atoms aElement0(sz00) = all_83_6_116, aElement0(sz00) = 0, yields:
% 71.11/40.06 | (894) all_83_6_116 = 0
% 71.11/40.06 |
% 71.11/40.06 | Equations (894) can reduce 892 to:
% 71.11/40.06 | (705) $false
% 71.11/40.06 |
% 71.11/40.06 |-The branch is then unsatisfiable
% 71.11/40.06 |-Branch two:
% 71.11/40.06 | (906) ~ (all_131_6_303 = 0) & aElement0(xx) = all_131_6_303
% 71.11/40.06 |
% 71.11/40.06 | Applying alpha-rule on (906) yields:
% 71.11/40.06 | (907) ~ (all_131_6_303 = 0)
% 71.11/40.06 | (908) aElement0(xx) = all_131_6_303
% 71.11/40.06 |
% 71.11/40.06 | Instantiating formula (20) with xx, all_131_6_303, 0 and discharging atoms aElement0(xx) = all_131_6_303, aElement0(xx) = 0, yields:
% 71.11/40.06 | (909) all_131_6_303 = 0
% 71.11/40.06 |
% 71.11/40.06 | Equations (909) can reduce 907 to:
% 71.11/40.06 | (705) $false
% 71.11/40.06 |
% 71.11/40.06 |-The branch is then unsatisfiable
% 71.11/40.06 |-Branch two:
% 71.11/40.06 | (911) ~ (all_131_6_303 = 0) & aElement0(sz10) = all_131_6_303
% 71.11/40.06 |
% 71.11/40.06 | Applying alpha-rule on (911) yields:
% 71.11/40.06 | (907) ~ (all_131_6_303 = 0)
% 71.11/40.06 | (913) aElement0(sz10) = all_131_6_303
% 71.11/40.06 |
% 71.11/40.06 | Instantiating formula (20) with sz10, all_131_6_303, 0 and discharging atoms aElement0(sz10) = all_131_6_303, aElement0(sz10) = 0, yields:
% 71.11/40.06 | (909) all_131_6_303 = 0
% 71.11/40.06 |
% 71.11/40.06 | Equations (909) can reduce 907 to:
% 71.11/40.06 | (705) $false
% 71.11/40.06 |
% 71.11/40.06 |-The branch is then unsatisfiable
% 71.11/40.06 |-Branch two:
% 71.11/40.06 | (916) ~ (all_131_6_303 = 0) & aElement0(sz00) = all_131_6_303
% 71.11/40.06 |
% 71.11/40.06 | Applying alpha-rule on (916) yields:
% 71.11/40.06 | (907) ~ (all_131_6_303 = 0)
% 71.11/40.06 | (918) aElement0(sz00) = all_131_6_303
% 71.11/40.06 |
% 71.11/40.06 | Instantiating formula (20) with sz00, all_131_6_303, 0 and discharging atoms aElement0(sz00) = all_131_6_303, aElement0(sz00) = 0, yields:
% 71.11/40.06 | (909) all_131_6_303 = 0
% 71.11/40.06 |
% 71.11/40.06 | Equations (909) can reduce 907 to:
% 71.11/40.06 | (705) $false
% 71.11/40.06 |
% 71.11/40.06 |-The branch is then unsatisfiable
% 71.11/40.06 |-Branch two:
% 71.11/40.06 | (921) ~ (all_130_6_296 = 0) & aElement0(xx) = all_130_6_296
% 71.11/40.06 |
% 71.11/40.06 | Applying alpha-rule on (921) yields:
% 71.11/40.06 | (922) ~ (all_130_6_296 = 0)
% 71.11/40.06 | (923) aElement0(xx) = all_130_6_296
% 71.11/40.06 |
% 71.11/40.06 | Instantiating formula (20) with xx, all_130_6_296, 0 and discharging atoms aElement0(xx) = all_130_6_296, aElement0(xx) = 0, yields:
% 71.11/40.06 | (924) all_130_6_296 = 0
% 71.11/40.06 |
% 71.11/40.06 | Equations (924) can reduce 922 to:
% 71.11/40.06 | (705) $false
% 71.11/40.06 |
% 71.11/40.06 |-The branch is then unsatisfiable
% 71.11/40.06 |-Branch two:
% 71.11/40.06 | (926) ~ (all_130_6_296 = 0) & aElement0(sz10) = all_130_6_296
% 71.11/40.06 |
% 71.11/40.06 | Applying alpha-rule on (926) yields:
% 71.11/40.06 | (922) ~ (all_130_6_296 = 0)
% 71.11/40.06 | (928) aElement0(sz10) = all_130_6_296
% 71.11/40.06 |
% 71.11/40.06 | Instantiating formula (20) with sz10, all_130_6_296, 0 and discharging atoms aElement0(sz10) = all_130_6_296, aElement0(sz10) = 0, yields:
% 71.11/40.06 | (924) all_130_6_296 = 0
% 71.11/40.06 |
% 71.11/40.06 | Equations (924) can reduce 922 to:
% 71.11/40.06 | (705) $false
% 71.11/40.06 |
% 71.11/40.06 |-The branch is then unsatisfiable
% 71.11/40.06 |-Branch two:
% 71.11/40.06 | (931) ~ (all_130_6_296 = 0) & aElement0(sz00) = all_130_6_296
% 71.11/40.06 |
% 71.11/40.06 | Applying alpha-rule on (931) yields:
% 71.11/40.06 | (922) ~ (all_130_6_296 = 0)
% 71.11/40.06 | (933) aElement0(sz00) = all_130_6_296
% 71.11/40.06 |
% 71.11/40.06 | Instantiating formula (20) with sz00, all_130_6_296, 0 and discharging atoms aElement0(sz00) = all_130_6_296, aElement0(sz00) = 0, yields:
% 71.11/40.06 | (924) all_130_6_296 = 0
% 71.11/40.06 |
% 71.11/40.06 | Equations (924) can reduce 922 to:
% 71.11/40.06 | (705) $false
% 71.11/40.06 |
% 71.11/40.06 |-The branch is then unsatisfiable
% 71.11/40.06 |-Branch two:
% 71.11/40.06 | (936) ~ (all_134_0_318 = 0) & aElement0(all_17_0_13) = all_134_0_318
% 71.11/40.06 |
% 71.11/40.06 | Applying alpha-rule on (936) yields:
% 71.11/40.06 | (937) ~ (all_134_0_318 = 0)
% 71.11/40.06 | (938) aElement0(all_17_0_13) = all_134_0_318
% 71.11/40.06 |
% 71.11/40.06 | Instantiating formula (20) with all_17_0_13, all_134_0_318, 0 and discharging atoms aElement0(all_17_0_13) = all_134_0_318, aElement0(all_17_0_13) = 0, yields:
% 71.11/40.06 | (939) all_134_0_318 = 0
% 71.11/40.06 |
% 71.11/40.06 | Equations (939) can reduce 937 to:
% 71.11/40.06 | (705) $false
% 71.11/40.06 |
% 71.11/40.06 |-The branch is then unsatisfiable
% 71.11/40.06 |-Branch two:
% 71.11/40.06 | (941) ~ (all_119_6_263 = 0) & aElement0(all_23_0_16) = all_119_6_263
% 71.11/40.06 |
% 71.11/40.06 | Applying alpha-rule on (941) yields:
% 71.11/40.06 | (942) ~ (all_119_6_263 = 0)
% 71.11/40.06 | (943) aElement0(all_23_0_16) = all_119_6_263
% 71.11/40.06 |
% 71.11/40.06 | Instantiating formula (20) with all_23_0_16, all_119_6_263, 0 and discharging atoms aElement0(all_23_0_16) = all_119_6_263, aElement0(all_23_0_16) = 0, yields:
% 71.11/40.06 | (944) all_119_6_263 = 0
% 71.11/40.06 |
% 71.11/40.06 | Equations (944) can reduce 942 to:
% 71.11/40.06 | (705) $false
% 71.11/40.06 |
% 71.11/40.06 |-The branch is then unsatisfiable
% 71.11/40.06 |-Branch two:
% 71.11/40.06 | (946) ~ (all_119_6_263 = 0) & aElement0(xx) = all_119_6_263
% 71.11/40.06 |
% 71.11/40.06 | Applying alpha-rule on (946) yields:
% 71.11/40.06 | (942) ~ (all_119_6_263 = 0)
% 71.11/40.06 | (948) aElement0(xx) = all_119_6_263
% 71.11/40.06 |
% 71.11/40.06 | Instantiating formula (20) with xx, all_119_6_263, 0 and discharging atoms aElement0(xx) = all_119_6_263, aElement0(xx) = 0, yields:
% 71.11/40.06 | (944) all_119_6_263 = 0
% 71.11/40.06 |
% 71.11/40.06 | Equations (944) can reduce 942 to:
% 71.11/40.06 | (705) $false
% 71.11/40.06 |
% 71.11/40.06 |-The branch is then unsatisfiable
% 71.11/40.06 |-Branch two:
% 71.11/40.06 | (951) ~ (all_119_6_263 = 0) & aElement0(sz10) = all_119_6_263
% 71.11/40.06 |
% 71.11/40.06 | Applying alpha-rule on (951) yields:
% 71.11/40.06 | (942) ~ (all_119_6_263 = 0)
% 71.11/40.06 | (953) aElement0(sz10) = all_119_6_263
% 71.11/40.06 |
% 71.11/40.06 | Instantiating formula (20) with sz10, all_119_6_263, 0 and discharging atoms aElement0(sz10) = all_119_6_263, aElement0(sz10) = 0, yields:
% 71.11/40.06 | (944) all_119_6_263 = 0
% 71.11/40.06 |
% 71.11/40.06 | Equations (944) can reduce 942 to:
% 71.11/40.06 | (705) $false
% 71.11/40.06 |
% 71.11/40.06 |-The branch is then unsatisfiable
% 71.11/40.06 |-Branch two:
% 71.11/40.06 | (956) ~ (all_111_1_244 = 0) & aElement0(all_0_2_2) = all_111_1_244
% 71.11/40.06 |
% 71.11/40.06 | Applying alpha-rule on (956) yields:
% 71.11/40.06 | (957) ~ (all_111_1_244 = 0)
% 71.11/40.06 | (958) aElement0(all_0_2_2) = all_111_1_244
% 71.11/40.06 |
% 71.11/40.06 | Instantiating formula (20) with all_0_2_2, all_111_1_244, 0 and discharging atoms aElement0(all_0_2_2) = all_111_1_244, aElement0(all_0_2_2) = 0, yields:
% 71.11/40.06 | (959) all_111_1_244 = 0
% 71.11/40.06 |
% 71.11/40.06 | Equations (959) can reduce 957 to:
% 71.11/40.06 | (705) $false
% 71.11/40.06 |
% 71.11/40.06 |-The branch is then unsatisfiable
% 71.11/40.06 |-Branch two:
% 71.11/40.06 | (961) ~ (all_111_1_244 = 0) & aElement0(xx) = all_111_1_244
% 71.11/40.06 |
% 71.11/40.06 | Applying alpha-rule on (961) yields:
% 71.11/40.06 | (957) ~ (all_111_1_244 = 0)
% 71.11/40.06 | (963) aElement0(xx) = all_111_1_244
% 71.11/40.06 |
% 71.11/40.06 | Instantiating formula (20) with xx, all_111_1_244, 0 and discharging atoms aElement0(xx) = all_111_1_244, aElement0(xx) = 0, yields:
% 71.11/40.06 | (959) all_111_1_244 = 0
% 71.11/40.06 |
% 71.11/40.06 | Equations (959) can reduce 957 to:
% 71.11/40.06 | (705) $false
% 71.11/40.06 |
% 71.11/40.06 |-The branch is then unsatisfiable
% 71.11/40.06 |-Branch two:
% 71.11/40.06 | (966) ~ (all_111_1_244 = 0) & aElement0(sz10) = all_111_1_244
% 71.11/40.06 |
% 71.11/40.06 | Applying alpha-rule on (966) yields:
% 71.11/40.06 | (957) ~ (all_111_1_244 = 0)
% 71.11/40.06 | (968) aElement0(sz10) = all_111_1_244
% 71.11/40.06 |
% 71.11/40.06 | Instantiating formula (20) with sz10, all_111_1_244, 0 and discharging atoms aElement0(sz10) = all_111_1_244, aElement0(sz10) = 0, yields:
% 71.11/40.06 | (959) all_111_1_244 = 0
% 71.11/40.06 |
% 71.11/40.06 | Equations (959) can reduce 957 to:
% 71.11/40.06 | (705) $false
% 71.11/40.06 |
% 71.11/40.06 |-The branch is then unsatisfiable
% 71.11/40.06 |-Branch two:
% 71.11/40.06 | (971) ~ (all_110_1_242 = 0) & aElement0(all_0_2_2) = all_110_1_242
% 71.11/40.06 |
% 71.11/40.06 | Applying alpha-rule on (971) yields:
% 71.11/40.06 | (972) ~ (all_110_1_242 = 0)
% 71.11/40.06 | (973) aElement0(all_0_2_2) = all_110_1_242
% 71.11/40.06 |
% 71.11/40.06 | Instantiating formula (20) with all_0_2_2, all_110_1_242, 0 and discharging atoms aElement0(all_0_2_2) = all_110_1_242, aElement0(all_0_2_2) = 0, yields:
% 71.11/40.06 | (974) all_110_1_242 = 0
% 71.11/40.06 |
% 71.11/40.06 | Equations (974) can reduce 972 to:
% 71.11/40.06 | (705) $false
% 71.11/40.06 |
% 71.11/40.06 |-The branch is then unsatisfiable
% 71.11/40.06 |-Branch two:
% 71.11/40.06 | (976) ~ (all_110_1_242 = 0) & aElement0(xx) = all_110_1_242
% 71.11/40.06 |
% 71.11/40.06 | Applying alpha-rule on (976) yields:
% 71.11/40.06 | (972) ~ (all_110_1_242 = 0)
% 71.11/40.06 | (978) aElement0(xx) = all_110_1_242
% 71.11/40.06 |
% 71.11/40.06 | Instantiating formula (20) with xx, all_110_1_242, 0 and discharging atoms aElement0(xx) = all_110_1_242, aElement0(xx) = 0, yields:
% 71.11/40.06 | (974) all_110_1_242 = 0
% 71.11/40.06 |
% 71.11/40.06 | Equations (974) can reduce 972 to:
% 71.11/40.06 | (705) $false
% 71.11/40.06 |
% 71.11/40.06 |-The branch is then unsatisfiable
% 71.11/40.06 |-Branch two:
% 71.11/40.06 | (981) ~ (all_110_1_242 = 0) & aElement0(sz10) = all_110_1_242
% 71.11/40.06 |
% 71.11/40.06 | Applying alpha-rule on (981) yields:
% 71.11/40.06 | (972) ~ (all_110_1_242 = 0)
% 71.11/40.06 | (983) aElement0(sz10) = all_110_1_242
% 71.11/40.06 |
% 71.11/40.06 | Instantiating formula (20) with sz10, all_110_1_242, 0 and discharging atoms aElement0(sz10) = all_110_1_242, aElement0(sz10) = 0, yields:
% 71.11/40.06 | (974) all_110_1_242 = 0
% 71.11/40.06 |
% 71.11/40.06 | Equations (974) can reduce 972 to:
% 71.11/40.06 | (705) $false
% 71.11/40.06 |
% 71.11/40.06 |-The branch is then unsatisfiable
% 71.11/40.06 |-Branch two:
% 71.11/40.06 | (986) ~ (all_109_1_240 = 0) & aElement0(all_0_2_2) = all_109_1_240
% 71.11/40.06 |
% 71.11/40.06 | Applying alpha-rule on (986) yields:
% 71.11/40.06 | (987) ~ (all_109_1_240 = 0)
% 71.11/40.06 | (988) aElement0(all_0_2_2) = all_109_1_240
% 71.11/40.06 |
% 71.11/40.06 | Instantiating formula (20) with all_0_2_2, all_109_1_240, 0 and discharging atoms aElement0(all_0_2_2) = all_109_1_240, aElement0(all_0_2_2) = 0, yields:
% 71.11/40.06 | (989) all_109_1_240 = 0
% 71.11/40.06 |
% 71.11/40.06 | Equations (989) can reduce 987 to:
% 71.11/40.06 | (705) $false
% 71.11/40.06 |
% 71.11/40.06 |-The branch is then unsatisfiable
% 71.11/40.06 |-Branch two:
% 71.11/40.06 | (991) ~ (all_109_1_240 = 0) & aElement0(xx) = all_109_1_240
% 71.11/40.06 |
% 71.11/40.06 | Applying alpha-rule on (991) yields:
% 71.11/40.06 | (987) ~ (all_109_1_240 = 0)
% 71.11/40.06 | (993) aElement0(xx) = all_109_1_240
% 71.11/40.06 |
% 71.11/40.06 | Instantiating formula (20) with xx, all_109_1_240, 0 and discharging atoms aElement0(xx) = all_109_1_240, aElement0(xx) = 0, yields:
% 71.11/40.06 | (989) all_109_1_240 = 0
% 71.11/40.06 |
% 71.11/40.06 | Equations (989) can reduce 987 to:
% 71.11/40.06 | (705) $false
% 71.11/40.06 |
% 71.11/40.06 |-The branch is then unsatisfiable
% 71.11/40.06 |-Branch two:
% 71.11/40.07 | (996) ~ (all_109_1_240 = 0) & aElement0(sz10) = all_109_1_240
% 71.11/40.07 |
% 71.11/40.07 | Applying alpha-rule on (996) yields:
% 71.11/40.07 | (987) ~ (all_109_1_240 = 0)
% 71.11/40.07 | (998) aElement0(sz10) = all_109_1_240
% 71.11/40.07 |
% 71.11/40.07 | Instantiating formula (20) with sz10, all_109_1_240, 0 and discharging atoms aElement0(sz10) = all_109_1_240, aElement0(sz10) = 0, yields:
% 71.11/40.07 | (989) all_109_1_240 = 0
% 71.11/40.07 |
% 71.11/40.07 | Equations (989) can reduce 987 to:
% 71.11/40.07 | (705) $false
% 71.11/40.07 |
% 71.11/40.07 |-The branch is then unsatisfiable
% 71.11/40.07 |-Branch two:
% 71.11/40.07 | (1001) ~ (all_106_5_229 = 0) & aElement0(all_0_2_2) = all_106_5_229
% 71.11/40.07 |
% 71.11/40.07 | Applying alpha-rule on (1001) yields:
% 71.11/40.07 | (1002) ~ (all_106_5_229 = 0)
% 71.11/40.07 | (1003) aElement0(all_0_2_2) = all_106_5_229
% 71.11/40.07 |
% 71.11/40.07 | Instantiating formula (20) with all_0_2_2, all_106_5_229, 0 and discharging atoms aElement0(all_0_2_2) = all_106_5_229, aElement0(all_0_2_2) = 0, yields:
% 71.11/40.07 | (1004) all_106_5_229 = 0
% 71.11/40.07 |
% 71.11/40.07 | Equations (1004) can reduce 1002 to:
% 71.11/40.07 | (705) $false
% 71.11/40.07 |
% 71.11/40.07 |-The branch is then unsatisfiable
% 71.11/40.07 |-Branch two:
% 71.11/40.07 | (1006) ~ (all_106_5_229 = 0) & aElement0(xx) = all_106_5_229
% 71.11/40.07 |
% 71.11/40.07 | Applying alpha-rule on (1006) yields:
% 71.11/40.07 | (1002) ~ (all_106_5_229 = 0)
% 71.11/40.07 | (1008) aElement0(xx) = all_106_5_229
% 71.11/40.07 |
% 71.11/40.07 | Instantiating formula (20) with xx, all_106_5_229, 0 and discharging atoms aElement0(xx) = all_106_5_229, aElement0(xx) = 0, yields:
% 71.11/40.07 | (1004) all_106_5_229 = 0
% 71.11/40.07 |
% 71.11/40.07 | Equations (1004) can reduce 1002 to:
% 71.11/40.07 | (705) $false
% 71.11/40.07 |
% 71.11/40.07 |-The branch is then unsatisfiable
% 71.11/40.07 |-Branch two:
% 71.11/40.07 | (1011) ~ (all_106_5_229 = 0) & aElement0(sz10) = all_106_5_229
% 71.11/40.07 |
% 71.11/40.07 | Applying alpha-rule on (1011) yields:
% 71.11/40.07 | (1002) ~ (all_106_5_229 = 0)
% 71.11/40.07 | (1013) aElement0(sz10) = all_106_5_229
% 71.11/40.07 |
% 71.11/40.07 | Instantiating formula (20) with sz10, all_106_5_229, 0 and discharging atoms aElement0(sz10) = all_106_5_229, aElement0(sz10) = 0, yields:
% 71.11/40.07 | (1004) all_106_5_229 = 0
% 71.11/40.07 |
% 71.11/40.07 | Equations (1004) can reduce 1002 to:
% 71.11/40.07 | (705) $false
% 71.11/40.07 |
% 71.11/40.07 |-The branch is then unsatisfiable
% 71.11/40.07 |-Branch two:
% 71.11/40.07 | (1016) ~ (all_140_6_335 = 0) & aElement0(all_0_2_2) = all_140_6_335
% 71.11/40.07 |
% 71.11/40.07 | Applying alpha-rule on (1016) yields:
% 71.11/40.07 | (1017) ~ (all_140_6_335 = 0)
% 71.11/40.07 | (1018) aElement0(all_0_2_2) = all_140_6_335
% 71.11/40.07 |
% 71.11/40.07 | Instantiating formula (20) with all_0_2_2, all_140_6_335, 0 and discharging atoms aElement0(all_0_2_2) = all_140_6_335, aElement0(all_0_2_2) = 0, yields:
% 71.11/40.07 | (1019) all_140_6_335 = 0
% 71.11/40.07 |
% 71.11/40.07 | Equations (1019) can reduce 1017 to:
% 71.11/40.07 | (705) $false
% 71.11/40.07 |
% 71.11/40.07 |-The branch is then unsatisfiable
% 71.11/40.07 |-Branch two:
% 71.11/40.07 | (1021) ~ (all_140_6_335 = 0) & aElement0(xx) = all_140_6_335
% 71.11/40.07 |
% 71.11/40.07 | Applying alpha-rule on (1021) yields:
% 71.11/40.07 | (1017) ~ (all_140_6_335 = 0)
% 71.11/40.07 | (1023) aElement0(xx) = all_140_6_335
% 71.11/40.07 |
% 71.11/40.07 | Instantiating formula (20) with xx, all_140_6_335, 0 and discharging atoms aElement0(xx) = all_140_6_335, aElement0(xx) = 0, yields:
% 71.11/40.07 | (1019) all_140_6_335 = 0
% 71.11/40.07 |
% 71.11/40.07 | Equations (1019) can reduce 1017 to:
% 71.11/40.07 | (705) $false
% 71.11/40.07 |
% 71.11/40.07 |-The branch is then unsatisfiable
% 71.11/40.07 |-Branch two:
% 71.11/40.07 | (1026) ~ (all_140_6_335 = 0) & aElement0(sz00) = all_140_6_335
% 71.11/40.07 |
% 71.11/40.07 | Applying alpha-rule on (1026) yields:
% 71.11/40.07 | (1017) ~ (all_140_6_335 = 0)
% 71.11/40.07 | (1028) aElement0(sz00) = all_140_6_335
% 71.11/40.07 |
% 71.11/40.07 +-Applying beta-rule and splitting (182), into two cases.
% 71.11/40.07 |-Branch one:
% 71.11/40.07 | (330) all_134_0_318 = sz00 & all_17_0_13 = sz00 & sdtpldt0(sz00, sz00) = sz00
% 71.11/40.07 |
% 71.11/40.07 | Applying alpha-rule on (330) yields:
% 71.11/40.07 | (331) all_134_0_318 = sz00
% 71.11/40.07 | (332) all_17_0_13 = sz00
% 71.11/40.07 | (64) sdtpldt0(sz00, sz00) = sz00
% 71.11/40.07 |
% 71.11/40.07 | From (332) and (124) follows:
% 71.11/40.07 | (9) aElement0(sz00) = 0
% 71.11/40.07 |
% 71.11/40.07 | Instantiating formula (20) with sz00, all_140_6_335, 0 and discharging atoms aElement0(sz00) = all_140_6_335, aElement0(sz00) = 0, yields:
% 71.11/40.07 | (1019) all_140_6_335 = 0
% 71.11/40.07 |
% 71.11/40.07 | Equations (1019) can reduce 1017 to:
% 71.11/40.07 | (705) $false
% 71.11/40.07 |
% 71.11/40.07 |-The branch is then unsatisfiable
% 71.11/40.07 |-Branch two:
% 71.11/40.07 | (936) ~ (all_134_0_318 = 0) & aElement0(all_17_0_13) = all_134_0_318
% 71.11/40.07 |
% 71.11/40.07 | Applying alpha-rule on (936) yields:
% 71.11/40.07 | (937) ~ (all_134_0_318 = 0)
% 71.11/40.07 | (938) aElement0(all_17_0_13) = all_134_0_318
% 71.11/40.07 |
% 71.11/40.07 | Instantiating formula (20) with all_17_0_13, all_134_0_318, 0 and discharging atoms aElement0(all_17_0_13) = all_134_0_318, aElement0(all_17_0_13) = 0, yields:
% 71.11/40.07 | (939) all_134_0_318 = 0
% 71.11/40.07 |
% 71.11/40.07 | Equations (939) can reduce 937 to:
% 71.11/40.07 | (705) $false
% 71.11/40.07 |
% 71.11/40.07 |-The branch is then unsatisfiable
% 71.11/40.07 |-Branch two:
% 71.11/40.07 | (1041) ~ (all_107_6_236 = 0) & aElement0(all_23_0_16) = all_107_6_236
% 71.11/40.07 |
% 71.11/40.07 | Applying alpha-rule on (1041) yields:
% 71.11/40.07 | (1042) ~ (all_107_6_236 = 0)
% 71.11/40.07 | (1043) aElement0(all_23_0_16) = all_107_6_236
% 71.11/40.07 |
% 71.11/40.07 | Instantiating formula (20) with all_23_0_16, all_107_6_236, 0 and discharging atoms aElement0(all_23_0_16) = all_107_6_236, aElement0(all_23_0_16) = 0, yields:
% 71.11/40.07 | (1044) all_107_6_236 = 0
% 71.11/40.07 |
% 71.11/40.07 | Equations (1044) can reduce 1042 to:
% 71.11/40.07 | (705) $false
% 71.11/40.07 |
% 71.11/40.07 |-The branch is then unsatisfiable
% 71.11/40.07 |-Branch two:
% 71.11/40.07 | (1046) ~ (all_107_6_236 = 0) & aElement0(all_0_2_2) = all_107_6_236
% 71.11/40.07 |
% 71.11/40.07 | Applying alpha-rule on (1046) yields:
% 71.11/40.07 | (1042) ~ (all_107_6_236 = 0)
% 71.11/40.07 | (1048) aElement0(all_0_2_2) = all_107_6_236
% 71.11/40.07 |
% 71.11/40.07 | Instantiating formula (20) with all_0_2_2, all_107_6_236, 0 and discharging atoms aElement0(all_0_2_2) = all_107_6_236, aElement0(all_0_2_2) = 0, yields:
% 71.11/40.07 | (1044) all_107_6_236 = 0
% 71.11/40.07 |
% 71.11/40.07 | Equations (1044) can reduce 1042 to:
% 71.11/40.07 | (705) $false
% 71.11/40.07 |
% 71.11/40.07 |-The branch is then unsatisfiable
% 71.11/40.07 |-Branch two:
% 71.11/40.07 | (1051) ~ (all_107_6_236 = 0) & aElement0(xx) = all_107_6_236
% 71.11/40.07 |
% 71.11/40.07 | Applying alpha-rule on (1051) yields:
% 71.11/40.07 | (1042) ~ (all_107_6_236 = 0)
% 71.11/40.07 | (1053) aElement0(xx) = all_107_6_236
% 71.11/40.07 |
% 71.11/40.07 | Instantiating formula (20) with xx, all_107_6_236, 0 and discharging atoms aElement0(xx) = all_107_6_236, aElement0(xx) = 0, yields:
% 71.11/40.07 | (1044) all_107_6_236 = 0
% 71.11/40.07 |
% 71.11/40.07 | Equations (1044) can reduce 1042 to:
% 71.11/40.07 | (705) $false
% 71.11/40.07 |
% 71.11/40.07 |-The branch is then unsatisfiable
% 71.11/40.07 |-Branch two:
% 71.11/40.07 | (1056) ~ (all_94_6_163 = 0) & aElement0(all_23_0_16) = all_94_6_163
% 71.11/40.07 |
% 71.11/40.07 | Applying alpha-rule on (1056) yields:
% 71.11/40.07 | (1057) ~ (all_94_6_163 = 0)
% 71.11/40.07 | (1058) aElement0(all_23_0_16) = all_94_6_163
% 71.11/40.07 |
% 71.11/40.07 | Instantiating formula (20) with all_23_0_16, all_94_6_163, 0 and discharging atoms aElement0(all_23_0_16) = all_94_6_163, aElement0(all_23_0_16) = 0, yields:
% 71.11/40.07 | (1059) all_94_6_163 = 0
% 71.11/40.07 |
% 71.11/40.07 | Equations (1059) can reduce 1057 to:
% 71.11/40.07 | (705) $false
% 71.11/40.07 |
% 71.11/40.07 |-The branch is then unsatisfiable
% 71.11/40.07 |-Branch two:
% 71.11/40.07 | (1061) ~ (all_94_6_163 = 0) & aElement0(all_0_2_2) = all_94_6_163
% 71.11/40.07 |
% 71.11/40.07 | Applying alpha-rule on (1061) yields:
% 71.11/40.07 | (1057) ~ (all_94_6_163 = 0)
% 71.11/40.07 | (1063) aElement0(all_0_2_2) = all_94_6_163
% 71.11/40.07 |
% 71.11/40.07 | Instantiating formula (20) with all_0_2_2, all_94_6_163, 0 and discharging atoms aElement0(all_0_2_2) = all_94_6_163, aElement0(all_0_2_2) = 0, yields:
% 71.11/40.07 | (1059) all_94_6_163 = 0
% 71.11/40.07 |
% 71.11/40.07 | Equations (1059) can reduce 1057 to:
% 71.11/40.07 | (705) $false
% 71.11/40.07 |
% 71.11/40.07 |-The branch is then unsatisfiable
% 71.11/40.07 |-Branch two:
% 71.11/40.07 | (1066) ~ (all_94_6_163 = 0) & aElement0(xx) = all_94_6_163
% 71.11/40.07 |
% 71.11/40.07 | Applying alpha-rule on (1066) yields:
% 71.11/40.07 | (1057) ~ (all_94_6_163 = 0)
% 71.11/40.07 | (1068) aElement0(xx) = all_94_6_163
% 71.11/40.07 |
% 71.11/40.07 | Instantiating formula (20) with xx, all_94_6_163, 0 and discharging atoms aElement0(xx) = all_94_6_163, aElement0(xx) = 0, yields:
% 71.11/40.07 | (1059) all_94_6_163 = 0
% 71.11/40.07 |
% 71.11/40.07 | Equations (1059) can reduce 1057 to:
% 71.11/40.07 | (705) $false
% 71.11/40.07 |
% 71.11/40.07 |-The branch is then unsatisfiable
% 71.11/40.07 |-Branch two:
% 71.11/40.07 | (1071) ~ (all_74_6_64 = 0) & aElement0(xx) = all_74_6_64
% 71.48/40.07 |
% 71.48/40.07 | Applying alpha-rule on (1071) yields:
% 71.48/40.07 | (1072) ~ (all_74_6_64 = 0)
% 71.48/40.07 | (1073) aElement0(xx) = all_74_6_64
% 71.48/40.07 |
% 71.48/40.07 | Instantiating formula (20) with xx, all_74_6_64, 0 and discharging atoms aElement0(xx) = all_74_6_64, aElement0(xx) = 0, yields:
% 71.48/40.07 | (1074) all_74_6_64 = 0
% 71.48/40.07 |
% 71.48/40.07 | Equations (1074) can reduce 1072 to:
% 71.48/40.07 | (705) $false
% 71.48/40.07 |
% 71.48/40.07 |-The branch is then unsatisfiable
% 71.48/40.07 |-Branch two:
% 71.48/40.07 | (1076) ~ (all_74_6_64 = 0) & aElement0(sz10) = all_74_6_64
% 71.48/40.07 |
% 71.48/40.07 | Applying alpha-rule on (1076) yields:
% 71.48/40.07 | (1072) ~ (all_74_6_64 = 0)
% 71.48/40.07 | (1078) aElement0(sz10) = all_74_6_64
% 71.48/40.07 |
% 71.48/40.07 | Instantiating formula (20) with sz10, all_74_6_64, 0 and discharging atoms aElement0(sz10) = all_74_6_64, aElement0(sz10) = 0, yields:
% 71.48/40.07 | (1074) all_74_6_64 = 0
% 71.48/40.07 |
% 71.48/40.07 | Equations (1074) can reduce 1072 to:
% 71.48/40.07 | (705) $false
% 71.48/40.07 |
% 71.48/40.07 |-The branch is then unsatisfiable
% 71.48/40.07 |-Branch two:
% 71.48/40.07 | (1081) ~ (all_74_6_64 = 0) & aElement0(sz00) = all_74_6_64
% 71.48/40.07 |
% 71.48/40.07 | Applying alpha-rule on (1081) yields:
% 71.48/40.07 | (1072) ~ (all_74_6_64 = 0)
% 71.48/40.07 | (1083) aElement0(sz00) = all_74_6_64
% 71.48/40.07 |
% 71.48/40.07 | Instantiating formula (20) with sz00, all_74_6_64, 0 and discharging atoms aElement0(sz00) = all_74_6_64, aElement0(sz00) = 0, yields:
% 71.48/40.07 | (1074) all_74_6_64 = 0
% 71.48/40.07 |
% 71.48/40.07 | Equations (1074) can reduce 1072 to:
% 71.48/40.07 | (705) $false
% 71.48/40.07 |
% 71.48/40.07 |-The branch is then unsatisfiable
% 71.48/40.07 |-Branch two:
% 71.48/40.07 | (1086) ~ (all_99_6_197 = 0) & aElement0(all_23_0_16) = all_99_6_197
% 71.48/40.07 |
% 71.48/40.07 | Applying alpha-rule on (1086) yields:
% 71.48/40.07 | (1087) ~ (all_99_6_197 = 0)
% 71.48/40.07 | (1088) aElement0(all_23_0_16) = all_99_6_197
% 71.48/40.07 |
% 71.48/40.07 | Instantiating formula (20) with all_23_0_16, all_99_6_197, 0 and discharging atoms aElement0(all_23_0_16) = all_99_6_197, aElement0(all_23_0_16) = 0, yields:
% 71.48/40.08 | (1089) all_99_6_197 = 0
% 71.48/40.08 |
% 71.48/40.08 | Equations (1089) can reduce 1087 to:
% 71.48/40.08 | (705) $false
% 71.48/40.08 |
% 71.48/40.08 |-The branch is then unsatisfiable
% 71.48/40.08 |-Branch two:
% 71.48/40.08 | (1091) ~ (all_99_6_197 = 0) & aElement0(all_0_2_2) = all_99_6_197
% 71.48/40.08 |
% 71.48/40.08 | Applying alpha-rule on (1091) yields:
% 71.48/40.08 | (1087) ~ (all_99_6_197 = 0)
% 71.48/40.08 | (1093) aElement0(all_0_2_2) = all_99_6_197
% 71.48/40.08 |
% 71.48/40.08 | Instantiating formula (20) with all_0_2_2, all_99_6_197, 0 and discharging atoms aElement0(all_0_2_2) = all_99_6_197, aElement0(all_0_2_2) = 0, yields:
% 71.48/40.08 | (1089) all_99_6_197 = 0
% 71.48/40.08 |
% 71.48/40.08 | Equations (1089) can reduce 1087 to:
% 71.48/40.08 | (705) $false
% 71.48/40.08 |
% 71.48/40.08 |-The branch is then unsatisfiable
% 71.48/40.08 |-Branch two:
% 71.48/40.08 | (1096) ~ (all_99_6_197 = 0) & aElement0(xx) = all_99_6_197
% 71.48/40.08 |
% 71.48/40.08 | Applying alpha-rule on (1096) yields:
% 71.48/40.08 | (1087) ~ (all_99_6_197 = 0)
% 71.48/40.08 | (1098) aElement0(xx) = all_99_6_197
% 71.48/40.08 |
% 71.48/40.08 | Instantiating formula (20) with xx, all_99_6_197, 0 and discharging atoms aElement0(xx) = all_99_6_197, aElement0(xx) = 0, yields:
% 71.48/40.08 | (1089) all_99_6_197 = 0
% 71.48/40.08 |
% 71.48/40.08 | Equations (1089) can reduce 1087 to:
% 71.48/40.08 | (705) $false
% 71.48/40.08 |
% 71.48/40.08 |-The branch is then unsatisfiable
% 71.48/40.08 |-Branch two:
% 71.48/40.08 | (1101) ~ (all_96_6_176 = 0) & aElement0(all_23_0_16) = all_96_6_176
% 71.48/40.08 |
% 71.48/40.08 | Applying alpha-rule on (1101) yields:
% 71.48/40.08 | (1102) ~ (all_96_6_176 = 0)
% 71.48/40.08 | (1103) aElement0(all_23_0_16) = all_96_6_176
% 71.48/40.08 |
% 71.48/40.08 | Instantiating formula (20) with all_23_0_16, all_96_6_176, 0 and discharging atoms aElement0(all_23_0_16) = all_96_6_176, aElement0(all_23_0_16) = 0, yields:
% 71.48/40.08 | (1104) all_96_6_176 = 0
% 71.48/40.08 |
% 71.48/40.08 | Equations (1104) can reduce 1102 to:
% 71.48/40.08 | (705) $false
% 71.48/40.08 |
% 71.48/40.08 |-The branch is then unsatisfiable
% 71.48/40.08 |-Branch two:
% 71.48/40.08 | (1106) ~ (all_96_6_176 = 0) & aElement0(all_0_2_2) = all_96_6_176
% 71.48/40.08 |
% 71.48/40.08 | Applying alpha-rule on (1106) yields:
% 71.48/40.08 | (1102) ~ (all_96_6_176 = 0)
% 71.48/40.08 | (1108) aElement0(all_0_2_2) = all_96_6_176
% 71.48/40.08 |
% 71.48/40.08 | Instantiating formula (20) with all_0_2_2, all_96_6_176, 0 and discharging atoms aElement0(all_0_2_2) = all_96_6_176, aElement0(all_0_2_2) = 0, yields:
% 71.48/40.08 | (1104) all_96_6_176 = 0
% 71.48/40.08 |
% 71.48/40.08 | Equations (1104) can reduce 1102 to:
% 71.48/40.08 | (705) $false
% 71.48/40.08 |
% 71.48/40.08 |-The branch is then unsatisfiable
% 71.48/40.08 |-Branch two:
% 71.48/40.08 | (1111) ~ (all_96_6_176 = 0) & aElement0(xx) = all_96_6_176
% 71.48/40.08 |
% 71.48/40.08 | Applying alpha-rule on (1111) yields:
% 71.48/40.08 | (1102) ~ (all_96_6_176 = 0)
% 71.48/40.08 | (1113) aElement0(xx) = all_96_6_176
% 71.48/40.08 |
% 71.48/40.08 | Instantiating formula (20) with xx, all_96_6_176, 0 and discharging atoms aElement0(xx) = all_96_6_176, aElement0(xx) = 0, yields:
% 71.48/40.08 | (1104) all_96_6_176 = 0
% 71.48/40.08 |
% 71.48/40.08 | Equations (1104) can reduce 1102 to:
% 71.48/40.08 | (705) $false
% 71.48/40.08 |
% 71.48/40.08 |-The branch is then unsatisfiable
% 71.48/40.08 |-Branch two:
% 71.48/40.08 | (1116) ~ (all_95_5_169 = 0) & aElement0(all_0_2_2) = all_95_5_169
% 71.48/40.08 |
% 71.48/40.08 | Applying alpha-rule on (1116) yields:
% 71.48/40.08 | (1117) ~ (all_95_5_169 = 0)
% 71.48/40.08 | (1118) aElement0(all_0_2_2) = all_95_5_169
% 71.48/40.08 |
% 71.48/40.08 | Instantiating formula (20) with all_0_2_2, all_95_5_169, 0 and discharging atoms aElement0(all_0_2_2) = all_95_5_169, aElement0(all_0_2_2) = 0, yields:
% 71.48/40.08 | (1119) all_95_5_169 = 0
% 71.48/40.08 |
% 71.48/40.08 | Equations (1119) can reduce 1117 to:
% 71.48/40.08 | (705) $false
% 71.48/40.08 |
% 71.48/40.08 |-The branch is then unsatisfiable
% 71.48/40.08 |-Branch two:
% 71.48/40.08 | (1121) ~ (all_95_5_169 = 0) & aElement0(xx) = all_95_5_169
% 71.48/40.08 |
% 71.48/40.08 | Applying alpha-rule on (1121) yields:
% 71.48/40.08 | (1117) ~ (all_95_5_169 = 0)
% 71.48/40.08 | (1123) aElement0(xx) = all_95_5_169
% 71.48/40.08 |
% 71.48/40.08 | Instantiating formula (20) with xx, all_95_5_169, 0 and discharging atoms aElement0(xx) = all_95_5_169, aElement0(xx) = 0, yields:
% 71.48/40.08 | (1119) all_95_5_169 = 0
% 71.48/40.08 |
% 71.48/40.08 | Equations (1119) can reduce 1117 to:
% 71.48/40.08 | (705) $false
% 71.48/40.08 |
% 71.48/40.08 |-The branch is then unsatisfiable
% 71.48/40.08 |-Branch two:
% 71.48/40.08 | (1126) ~ (all_95_5_169 = 0) & aElement0(sz10) = all_95_5_169
% 71.48/40.08 |
% 71.48/40.08 | Applying alpha-rule on (1126) yields:
% 71.48/40.08 | (1117) ~ (all_95_5_169 = 0)
% 71.48/40.08 | (1128) aElement0(sz10) = all_95_5_169
% 71.48/40.08 |
% 71.48/40.08 | Instantiating formula (20) with sz10, all_95_5_169, 0 and discharging atoms aElement0(sz10) = all_95_5_169, aElement0(sz10) = 0, yields:
% 71.48/40.08 | (1119) all_95_5_169 = 0
% 71.48/40.08 |
% 71.48/40.08 | Equations (1119) can reduce 1117 to:
% 71.48/40.08 | (705) $false
% 71.52/40.08 |
% 71.52/40.08 |-The branch is then unsatisfiable
% 71.52/40.08 |-Branch two:
% 71.52/40.08 | (1131) ~ (all_97_6_183 = 0) & aElement0(all_23_0_16) = all_97_6_183
% 71.52/40.08 |
% 71.52/40.08 | Applying alpha-rule on (1131) yields:
% 71.52/40.08 | (1132) ~ (all_97_6_183 = 0)
% 71.52/40.08 | (1133) aElement0(all_23_0_16) = all_97_6_183
% 71.52/40.08 |
% 71.52/40.08 | Instantiating formula (20) with all_23_0_16, all_97_6_183, 0 and discharging atoms aElement0(all_23_0_16) = all_97_6_183, aElement0(all_23_0_16) = 0, yields:
% 71.52/40.08 | (1134) all_97_6_183 = 0
% 71.52/40.08 |
% 71.52/40.08 | Equations (1134) can reduce 1132 to:
% 71.52/40.08 | (705) $false
% 71.52/40.08 |
% 71.52/40.08 |-The branch is then unsatisfiable
% 71.52/40.08 |-Branch two:
% 71.52/40.08 | (1136) ~ (all_97_6_183 = 0) & aElement0(xx) = all_97_6_183
% 71.52/40.08 |
% 71.52/40.08 | Applying alpha-rule on (1136) yields:
% 71.52/40.08 | (1132) ~ (all_97_6_183 = 0)
% 71.52/40.08 | (1138) aElement0(xx) = all_97_6_183
% 71.52/40.08 |
% 71.52/40.08 | Instantiating formula (20) with xx, all_97_6_183, 0 and discharging atoms aElement0(xx) = all_97_6_183, aElement0(xx) = 0, yields:
% 71.52/40.08 | (1134) all_97_6_183 = 0
% 71.52/40.08 |
% 71.52/40.08 | Equations (1134) can reduce 1132 to:
% 71.52/40.08 | (705) $false
% 71.52/40.08 |
% 71.52/40.08 |-The branch is then unsatisfiable
% 71.52/40.08 |-Branch two:
% 71.52/40.08 | (1141) ~ (all_97_6_183 = 0) & aElement0(sz10) = all_97_6_183
% 71.52/40.08 |
% 71.52/40.08 | Applying alpha-rule on (1141) yields:
% 71.52/40.08 | (1132) ~ (all_97_6_183 = 0)
% 71.52/40.08 | (1143) aElement0(sz10) = all_97_6_183
% 71.52/40.08 |
% 71.52/40.08 | Instantiating formula (20) with sz10, all_97_6_183, 0 and discharging atoms aElement0(sz10) = all_97_6_183, aElement0(sz10) = 0, yields:
% 71.52/40.08 | (1134) all_97_6_183 = 0
% 71.52/40.08 |
% 71.52/40.08 | Equations (1134) can reduce 1132 to:
% 71.52/40.08 | (705) $false
% 71.52/40.08 |
% 71.52/40.08 |-The branch is then unsatisfiable
% 71.52/40.08 |-Branch two:
% 71.52/40.08 | (1146) ~ (all_67_1_36 = 0) & aElement0(all_23_0_16) = all_67_1_36
% 71.52/40.08 |
% 71.52/40.08 | Applying alpha-rule on (1146) yields:
% 71.52/40.08 | (1147) ~ (all_67_1_36 = 0)
% 71.52/40.08 | (1148) aElement0(all_23_0_16) = all_67_1_36
% 71.52/40.08 |
% 71.52/40.08 | Instantiating formula (20) with all_23_0_16, all_67_1_36, 0 and discharging atoms aElement0(all_23_0_16) = all_67_1_36, aElement0(all_23_0_16) = 0, yields:
% 71.52/40.08 | (1149) all_67_1_36 = 0
% 71.52/40.08 |
% 71.52/40.08 | Equations (1149) can reduce 1147 to:
% 71.52/40.08 | (705) $false
% 71.52/40.08 |
% 71.52/40.08 |-The branch is then unsatisfiable
% 71.52/40.08 |-Branch two:
% 71.52/40.08 | (1151) ~ (all_67_1_36 = 0) & aElement0(all_17_0_13) = all_67_1_36
% 71.52/40.08 |
% 71.52/40.08 | Applying alpha-rule on (1151) yields:
% 71.52/40.08 | (1147) ~ (all_67_1_36 = 0)
% 71.52/40.08 | (1153) aElement0(all_17_0_13) = all_67_1_36
% 71.52/40.08 |
% 71.52/40.08 | Instantiating formula (20) with all_17_0_13, all_67_1_36, 0 and discharging atoms aElement0(all_17_0_13) = all_67_1_36, aElement0(all_17_0_13) = 0, yields:
% 71.52/40.08 | (1149) all_67_1_36 = 0
% 71.52/40.08 |
% 71.52/40.08 | Equations (1149) can reduce 1147 to:
% 71.52/40.08 | (705) $false
% 71.52/40.08 |
% 71.52/40.08 |-The branch is then unsatisfiable
% 71.52/40.08 |-Branch two:
% 71.52/40.08 | (1156) ~ (all_67_1_36 = 0) & aElement0(xx) = all_67_1_36
% 71.52/40.08 |
% 71.52/40.08 | Applying alpha-rule on (1156) yields:
% 71.52/40.08 | (1147) ~ (all_67_1_36 = 0)
% 71.52/40.08 | (1158) aElement0(xx) = all_67_1_36
% 71.52/40.08 |
% 71.52/40.08 | Instantiating formula (20) with xx, all_67_1_36, 0 and discharging atoms aElement0(xx) = all_67_1_36, aElement0(xx) = 0, yields:
% 71.52/40.08 | (1149) all_67_1_36 = 0
% 71.52/40.08 |
% 71.52/40.08 | Equations (1149) can reduce 1147 to:
% 71.52/40.08 | (705) $false
% 71.52/40.08 |
% 71.52/40.08 |-The branch is then unsatisfiable
% 71.52/40.08 % SZS output end Proof for theBenchmark
% 71.52/40.08
% 71.52/40.08 39468ms
%------------------------------------------------------------------------------