TSTP Solution File: RNG100+2 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : RNG100+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n029.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 20:25:22 EDT 2022
% Result : Theorem 24.38s 6.77s
% Output : Proof 67.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG100+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon May 30 16:24:29 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.68/0.66 ____ _
% 0.68/0.66 ___ / __ \_____(_)___ ________ __________
% 0.68/0.66 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.68/0.66 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.68/0.66 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.68/0.66
% 0.68/0.66 A Theorem Prover for First-Order Logic
% 0.68/0.67 (ePrincess v.1.0)
% 0.68/0.67
% 0.68/0.67 (c) Philipp Rümmer, 2009-2015
% 0.68/0.67 (c) Peter Backeman, 2014-2015
% 0.68/0.67 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.68/0.67 Free software under GNU Lesser General Public License (LGPL).
% 0.68/0.67 Bug reports to peter@backeman.se
% 0.68/0.67
% 0.68/0.67 For more information, visit http://user.uu.se/~petba168/breu/
% 0.68/0.67
% 0.68/0.67 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.82/0.73 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.05/1.17 Prover 0: Preprocessing ...
% 3.93/1.72 Prover 0: Warning: ignoring some quantifiers
% 4.25/1.77 Prover 0: Constructing countermodel ...
% 21.05/6.02 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 21.23/6.11 Prover 1: Preprocessing ...
% 22.46/6.33 Prover 1: Constructing countermodel ...
% 24.38/6.77 Prover 1: proved (741ms)
% 24.38/6.77 Prover 0: stopped
% 24.38/6.77
% 24.38/6.77 No countermodel exists, formula is valid
% 24.38/6.77 % SZS status Theorem for theBenchmark
% 24.38/6.77
% 24.38/6.77 Generating proof ... found it (size 749)
% 66.16/24.24
% 66.16/24.24 % SZS output start Proof for theBenchmark
% 66.16/24.24 Assumed formulas after preprocessing and simplification:
% 66.16/24.24 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ( ~ (v2 = 0) & ~ (sz10 = sz00) & slsdtgt0(xc) = v1 & aIdeal0(v1) = v2 & aSet0(v1) = 0 & aElementOf0(v3, v1) = 0 & smndt0(sz10) = v0 & aElement0(xc) = 0 & aElement0(sz10) = 0 & aElement0(sz00) = 0 & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = 0 | ~ (sdtpldt1(v8, v9) = v10) | ~ (aSet0(v10) = v11) | ~ (aElementOf0(v12, v10) = v13) | ~ (sdtpldt0(v14, v15) = v12) | ? [v16] : ? [v17] : ((aSet0(v9) = v17 & aSet0(v8) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0))) | (aElementOf0(v15, v9) = v17 & aElementOf0(v14, v8) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0))))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v12 = 0 | ~ (slsdtgt0(v8) = v9) | ~ (aSet0(v9) = v10) | ~ (aElementOf0(v11, v9) = v12) | ~ (sdtasdt0(v8, v13) = v11) | ? [v14] : (( ~ (v14 = 0) & aElement0(v13) = v14) | ( ~ (v14 = 0) & aElement0(v8) = v14))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (sdtasasdt0(v8, v9) = v10) | ~ (aSet0(v10) = v11) | ~ (aElementOf0(v12, v8) = v13) | ? [v14] : ? [v15] : ((aSet0(v9) = v15 & aSet0(v8) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0))) | (aElementOf0(v12, v10) = v14 & aElementOf0(v12, v9) = v15 & ( ~ (v14 = 0) | (v15 = 0 & v13 = 0))))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (aElementOf0(v12, v10) = v13) | ~ (sdtpldt0(v8, v11) = v12) | ~ (smndt0(v9) = v11) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : (sdteqdtlpzmzozddtrp0(v8, v9, v10) = v17 & aIdeal0(v10) = v16 & aElement0(v9) = v15 & aElement0(v8) = v14 & ( ~ (v16 = 0) | ~ (v15 = 0) | ~ (v14 = 0) | (( ~ (v17 = 0) | v13 = 0) & ( ~ (v13 = 0) | v17 = 0))))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (sdtasdt0(v8, v10) = v12) | ~ (sdtasdt0(v8, v9) = v11) | ~ (sdtpldt0(v11, v12) = v13) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : (sdtasdt0(v17, v8) = v19 & sdtasdt0(v10, v8) = v21 & sdtasdt0(v9, v8) = v20 & sdtasdt0(v8, v17) = v18 & sdtpldt0(v20, v21) = v22 & sdtpldt0(v9, v10) = v17 & aElement0(v10) = v16 & aElement0(v9) = v15 & aElement0(v8) = v14 & ( ~ (v16 = 0) | ~ (v15 = 0) | ~ (v14 = 0) | (v22 = v19 & v18 = v13)))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (aGcdOfAnd0(v10, v8, v9) = 0) | ~ (doDivides0(v11, v10) = v12) | ~ (aElement0(v9) = 0) | ~ (aElement0(v8) = 0) | ? [v13] : ? [v14] : (aDivisorOf0(v11, v9) = v14 & aDivisorOf0(v11, v8) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0)))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (aIdeal0(v8) = 0) | ~ (aElementOf0(v11, v8) = v12) | ~ (aElementOf0(v9, v8) = 0) | ~ (sdtasdt0(v10, v9) = v11) | ? [v13] : ( ~ (v13 = 0) & aElement0(v10) = v13)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (aIdeal0(v8) = 0) | ~ (aElementOf0(v11, v8) = v12) | ~ (aElementOf0(v9, v8) = 0) | ~ (sdtpldt0(v9, v10) = v11) | ? [v13] : ( ~ (v13 = 0) & aElementOf0(v10, v8) = v13)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v9 = v8 | ~ (aGcdOfAnd0(v12, v11, v10) = v9) | ~ (aGcdOfAnd0(v12, v11, v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v9 = v8 | ~ (sdteqdtlpzmzozddtrp0(v12, v11, v10) = v9) | ~ (sdteqdtlpzmzozddtrp0(v12, v11, v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (sdtasasdt0(v8, v9) = v10) | ~ (aSet0(v10) = v11) | ~ (aElementOf0(v12, v8) = 0) | ? [v13] : ? [v14] : ((aSet0(v9) = v14 & aSet0(v8) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0))) | (aElementOf0(v12, v10) = v14 & aElementOf0(v12, v9) = v13 & ( ~ (v13 = 0) | v14 = 0)))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (sdtpldt1(v8, v9) = v10) | ~ (aSet0(v10) = v11) | ~ (aElementOf0(v12, v10) = 0) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v17 = v12 & v16 = 0 & v15 = 0 & aElementOf0(v14, v9) = 0 & aElementOf0(v13, v8) = 0 & sdtpldt0(v13, v14) = v12) | (aSet0(v9) = v14 & aSet0(v8) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0))))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (sdtpldt1(v8, v9) = v10) | ~ (aElement0(v12) = 0) | ~ (aElement0(v11) = 0) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : ((v16 = 0 & v15 = 0 & v14 = 0 & sdteqdtlpzmzozddtrp0(v13, v12, v9) = 0 & sdteqdtlpzmzozddtrp0(v13, v11, v8) = 0 & aElement0(v13) = 0) | (v14 = 0 & ~ (v15 = 0) & aElementOf0(v13, v10) = v15 & aElement0(v13) = 0) | (aIdeal0(v9) = v14 & aIdeal0(v8) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0))))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (sdtasdt0(v11, v10) = v12) | ~ (sdtasdt0(v8, v9) = v11) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : (sdtasdt0(v9, v10) = v16 & sdtasdt0(v8, v16) = v17 & aElement0(v10) = v15 & aElement0(v9) = v14 & aElement0(v8) = v13 & ( ~ (v15 = 0) | ~ (v14 = 0) | ~ (v13 = 0) | v17 = v12))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (sdtpldt0(v11, v10) = v12) | ~ (sdtpldt0(v8, v9) = v11) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : (sdtpldt0(v9, v10) = v16 & sdtpldt0(v8, v16) = v17 & aElement0(v10) = v15 & aElement0(v9) = v14 & aElement0(v8) = v13 & ( ~ (v15 = 0) | ~ (v14 = 0) | ~ (v13 = 0) | v17 = v12))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v11 = v10 | ~ (sdtasasdt0(v8, v9) = v10) | ~ (aSet0(v11) = 0) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : ((aSet0(v9) = v13 & aSet0(v8) = v12 & ( ~ (v13 = 0) | ~ (v12 = 0))) | (aElementOf0(v12, v11) = v13 & aElementOf0(v12, v9) = v15 & aElementOf0(v12, v8) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0) | ~ (v13 = 0)) & (v13 = 0 | (v15 = 0 & v14 = 0))))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v11 = v10 | ~ (sdtpldt1(v8, v9) = v10) | ~ (aSet0(v11) = 0) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ((aSet0(v9) = v13 & aSet0(v8) = v12 & ( ~ (v13 = 0) | ~ (v12 = 0))) | (aElementOf0(v12, v11) = v13 & ( ~ (v13 = 0) | ! [v19] : ! [v20] : ( ~ (sdtpldt0(v19, v20) = v12) | ? [v21] : ? [v22] : (aElementOf0(v20, v9) = v22 & aElementOf0(v19, v8) = v21 & ( ~ (v22 = 0) | ~ (v21 = 0))))) & (v13 = 0 | (v18 = v12 & v17 = 0 & v16 = 0 & aElementOf0(v15, v9) = 0 & aElementOf0(v14, v8) = 0 & sdtpldt0(v14, v15) = v12))))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | ~ (aGcdOfAnd0(v10, v8, v9) = v11) | ~ (aElement0(v9) = 0) | ~ (aElement0(v8) = 0) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : ((v14 = 0 & v13 = 0 & ~ (v15 = 0) & aDivisorOf0(v12, v9) = 0 & aDivisorOf0(v12, v8) = 0 & doDivides0(v12, v10) = v15) | (aDivisorOf0(v10, v9) = v13 & aDivisorOf0(v10, v8) = v12 & ( ~ (v13 = 0) | ~ (v12 = 0))))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | ~ (sdtasasdt0(v8, v9) = v10) | ~ (aSet0(v10) = v11) | ? [v12] : ? [v13] : (aSet0(v9) = v13 & aSet0(v8) = v12 & ( ~ (v13 = 0) | ~ (v12 = 0)))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | ~ (sdtpldt1(v8, v9) = v10) | ~ (aSet0(v10) = v11) | ? [v12] : ? [v13] : (aSet0(v9) = v13 & aSet0(v8) = v12 & ( ~ (v13 = 0) | ~ (v12 = 0)))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v10 = 0 | ~ (doDivides0(v8, v9) = v10) | ~ (sdtasdt0(v8, v11) = v9) | ? [v12] : ? [v13] : (( ~ (v12 = 0) & aElement0(v11) = v12) | (aElement0(v9) = v13 & aElement0(v8) = v12 & ( ~ (v13 = 0) | ~ (v12 = 0))))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v9 = v8 | ~ (misRelativelyPrime0(v11, v10) = v9) | ~ (misRelativelyPrime0(v11, v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v9 = v8 | ~ (aDivisorOf0(v11, v10) = v9) | ~ (aDivisorOf0(v11, v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v9 = v8 | ~ (doDivides0(v11, v10) = v9) | ~ (doDivides0(v11, v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v9 = v8 | ~ (iLess0(v11, v10) = v9) | ~ (iLess0(v11, v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v9 = v8 | ~ (sdtasasdt0(v11, v10) = v9) | ~ (sdtasasdt0(v11, v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v9 = v8 | ~ (sdtpldt1(v11, v10) = v9) | ~ (sdtpldt1(v11, v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v9 = v8 | ~ (aElementOf0(v11, v10) = v9) | ~ (aElementOf0(v11, v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v9 = v8 | ~ (sdtasdt0(v11, v10) = v9) | ~ (sdtasdt0(v11, v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v9 = v8 | ~ (sdtpldt0(v11, v10) = v9) | ~ (sdtpldt0(v11, v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (slsdtgt0(v8) = v9) | ~ (aSet0(v9) = v10) | ~ (aElementOf0(v11, v9) = 0) | ? [v12] : ? [v13] : ? [v14] : ((v14 = v11 & v13 = 0 & sdtasdt0(v8, v12) = v11 & aElement0(v12) = 0) | ( ~ (v12 = 0) & aElement0(v8) = v12))) & ! [v8] : ! [v9] : ! [v10] : (v10 = v9 | ~ (slsdtgt0(v8) = v9) | ~ (aSet0(v10) = 0) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (( ~ (v11 = 0) & aElement0(v8) = v11) | (aElementOf0(v11, v10) = v12 & ( ~ (v12 = 0) | ! [v16] : ( ~ (sdtasdt0(v8, v16) = v11) | ? [v17] : ( ~ (v17 = 0) & aElement0(v16) = v17))) & (v12 = 0 | (v15 = v11 & v14 = 0 & sdtasdt0(v8, v13) = v11 & aElement0(v13) = 0))))) & ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | ~ (slsdtgt0(v8) = v9) | ~ (aSet0(v9) = v10) | ? [v11] : ( ~ (v11 = 0) & aElement0(v8) = v11)) & ! [v8] : ! [v9] : ! [v10] : (v9 = v8 | ~ (slsdtgt0(v10) = v9) | ~ (slsdtgt0(v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : (v9 = v8 | ~ (sbrdtbr0(v10) = v9) | ~ (sbrdtbr0(v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : (v9 = v8 | ~ (aNaturalNumber0(v10) = v9) | ~ (aNaturalNumber0(v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : (v9 = v8 | ~ (aIdeal0(v10) = v9) | ~ (aIdeal0(v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : (v9 = v8 | ~ (aSet0(v10) = v9) | ~ (aSet0(v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : (v9 = v8 | ~ (smndt0(v10) = v9) | ~ (smndt0(v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : (v9 = v8 | ~ (aElement0(v10) = v9) | ~ (aElement0(v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : (v9 = sz00 | ~ (sbrdtbr0(v9) = v10) | ~ (aElement0(v8) = 0) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ((v16 = v8 & v14 = 0 & v13 = 0 & iLess0(v17, v10) = v18 & sbrdtbr0(v12) = v17 & sdtasdt0(v11, v9) = v15 & sdtpldt0(v15, v12) = v8 & aElement0(v12) = 0 & aElement0(v11) = 0 & (v18 = 0 | v12 = sz00)) | ( ~ (v11 = 0) & aElement0(v9) = v11))) & ! [v8] : ! [v9] : ! [v10] : (v9 = 0 | ~ (aElementOf0(v8, v1) = v9) | ~ (sdtasdt0(xc, v10) = v8) | ? [v11] : ( ~ (v11 = 0) & aElement0(v10) = v11)) & ! [v8] : ! [v9] : ! [v10] : ( ~ (aGcdOfAnd0(v10, v8, v9) = 0) | ~ (aElement0(v9) = 0) | ~ (aElement0(v8) = 0) | (aDivisorOf0(v10, v9) = 0 & aDivisorOf0(v10, v8) = 0)) & ! [v8] : ! [v9] : ! [v10] : ( ~ (aGcdOfAnd0(sz10, v8, v9) = v10) | ? [v11] : ? [v12] : ? [v13] : (misRelativelyPrime0(v8, v9) = v13 & aElement0(v9) = v12 & aElement0(v8) = v11 & ( ~ (v12 = 0) | ~ (v11 = 0) | (( ~ (v13 = 0) | v10 = 0) & ( ~ (v10 = 0) | v13 = 0))))) & ! [v8] : ! [v9] : ! [v10] : ( ~ (doDivides0(v9, v8) = v10) | ~ (aElement0(v8) = 0) | ? [v11] : ? [v12] : (aDivisorOf0(v9, v8) = v11 & aElement0(v9) = v12 & ( ~ (v11 = 0) | (v12 = 0 & v10 = 0)))) & ! [v8] : ! [v9] : ! [v10] : ( ~ (sdtasasdt0(v8, v9) = v10) | ? [v11] : ? [v12] : ? [v13] : (aIdeal0(v10) = v13 & aIdeal0(v9) = v12 & aIdeal0(v8) = v11 & ( ~ (v12 = 0) | ~ (v11 = 0) | v13 = 0))) & ! [v8] : ! [v9] : ! [v10] : ( ~ (sdtpldt1(v8, v9) = v10) | ? [v11] : ? [v12] : ? [v13] : (aIdeal0(v10) = v13 & aIdeal0(v9) = v12 & aIdeal0(v8) = v11 & ( ~ (v12 = 0) | ~ (v11 = 0) | v13 = 0))) & ! [v8] : ! [v9] : ! [v10] : ( ~ (sdtasdt0(v8, v9) = v10) | ? [v11] : ? [v12] : ? [v13] : (sdtasdt0(v9, v8) = v13 & aElement0(v9) = v12 & aElement0(v8) = v11 & ( ~ (v12 = 0) | ~ (v11 = 0) | v13 = v10))) & ! [v8] : ! [v9] : ! [v10] : ( ~ (sdtasdt0(v8, v9) = v10) | ? [v11] : ? [v12] : ? [v13] : (aElement0(v10) = v13 & aElement0(v9) = v12 & aElement0(v8) = v11 & ( ~ (v12 = 0) | ~ (v11 = 0) | v13 = 0))) & ! [v8] : ! [v9] : ! [v10] : ( ~ (sdtpldt0(v9, v8) = v10) | ~ (smndt0(v8) = v9) | ? [v11] : ? [v12] : (sdtpldt0(v8, v9) = v12 & aElement0(v8) = v11 & ( ~ (v11 = 0) | (v12 = sz00 & v10 = sz00)))) & ! [v8] : ! [v9] : ! [v10] : ( ~ (sdtpldt0(v8, v9) = v10) | ? [v11] : ? [v12] : ? [v13] : (sdtpldt0(v9, v8) = v13 & aElement0(v9) = v12 & aElement0(v8) = v11 & ( ~ (v12 = 0) | ~ (v11 = 0) | v13 = v10))) & ! [v8] : ! [v9] : ! [v10] : ( ~ (sdtpldt0(v8, v9) = v10) | ? [v11] : ? [v12] : ? [v13] : (aElement0(v10) = v13 & aElement0(v9) = v12 & aElement0(v8) = v11 & ( ~ (v12 = 0) | ~ (v11 = 0) | v13 = 0))) & ! [v8] : ! [v9] : (v9 = v8 | ~ (aSet0(v9) = 0) | ~ (aSet0(v8) = 0) | ? [v10] : ? [v11] : ? [v12] : ((v11 = 0 & ~ (v12 = 0) & aElementOf0(v10, v9) = v12 & aElementOf0(v10, v8) = 0) | (v11 = 0 & ~ (v12 = 0) & aElementOf0(v10, v9) = 0 & aElementOf0(v10, v8) = v12))) & ! [v8] : ! [v9] : (v9 = sz00 | v8 = sz00 | ~ (sdtasdt0(v8, v9) = sz00) | ? [v10] : ? [v11] : (aElement0(v9) = v11 & aElement0(v8) = v10 & ( ~ (v11 = 0) | ~ (v10 = 0)))) & ! [v8] : ! [v9] : (v9 = 0 | ~ (aIdeal0(v8) = v9) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ((v11 = 0 & aElementOf0(v10, v8) = 0 & ((v13 = 0 & ~ (v15 = 0) & aElementOf0(v14, v8) = v15 & aElementOf0(v12, v8) = 0 & sdtpldt0(v10, v12) = v14) | (v13 = 0 & ~ (v15 = 0) & aElementOf0(v14, v8) = v15 & sdtasdt0(v12, v10) = v14 & aElement0(v12) = 0))) | ( ~ (v10 = 0) & aSet0(v8) = v10))) & ! [v8] : ! [v9] : (v8 = sz00 | ~ (sbrdtbr0(v8) = v9) | ? [v10] : ? [v11] : (aNaturalNumber0(v9) = v11 & aElement0(v8) = v10 & ( ~ (v10 = 0) | v11 = 0))) & ! [v8] : ! [v9] : ( ~ (doDivides0(v9, v8) = 0) | ~ (aElement0(v8) = 0) | ? [v10] : ? [v11] : (aDivisorOf0(v9, v8) = v11 & aElement0(v9) = v10 & ( ~ (v10 = 0) | v11 = 0))) & ! [v8] : ! [v9] : ( ~ (doDivides0(v8, v9) = 0) | ? [v10] : ? [v11] : ? [v12] : ((v12 = v9 & v11 = 0 & sdtasdt0(v8, v10) = v9 & aElement0(v10) = 0) | (aElement0(v9) = v11 & aElement0(v8) = v10 & ( ~ (v11 = 0) | ~ (v10 = 0))))) & ! [v8] : ! [v9] : ( ~ (aSet0(v8) = 0) | ~ (aElementOf0(v9, v8) = 0) | aElement0(v9) = 0) & ! [v8] : ! [v9] : ( ~ (sdtasdt0(v0, v8) = v9) | ? [v10] : ? [v11] : ? [v12] : (sdtasdt0(v8, v0) = v12 & smndt0(v8) = v11 & aElement0(v8) = v10 & ( ~ (v10 = 0) | (v12 = v9 & v11 = v9)))) & ! [v8] : ! [v9] : ( ~ (sdtasdt0(sz10, v8) = v9) | ? [v10] : ? [v11] : (sdtasdt0(v8, sz10) = v11 & aElement0(v8) = v10 & ( ~ (v10 = 0) | (v11 = v8 & v9 = v8)))) & ! [v8] : ! [v9] : ( ~ (sdtasdt0(sz00, v8) = v9) | ? [v10] : ? [v11] : (sdtasdt0(v8, sz00) = v11 & aElement0(v8) = v10 & ( ~ (v10 = 0) | (v11 = sz00 & v9 = sz00)))) & ! [v8] : ! [v9] : ( ~ (sdtpldt0(sz00, v8) = v9) | ? [v10] : ? [v11] : (sdtpldt0(v8, sz00) = v11 & aElement0(v8) = v10 & ( ~ (v10 = 0) | (v11 = v8 & v9 = v8)))) & ! [v8] : ! [v9] : ( ~ (smndt0(v8) = v9) | ? [v10] : ? [v11] : (aElement0(v9) = v11 & aElement0(v8) = v10 & ( ~ (v10 = 0) | v11 = 0))) & ! [v8] : ( ~ (aIdeal0(v8) = 0) | aSet0(v8) = 0) & ! [v8] : ( ~ (aElementOf0(v8, v1) = 0) | ? [v9] : (sdtasdt0(xc, v9) = v8 & aElement0(v9) = 0)) & ((v5 = 0 & ~ (v7 = 0) & aElementOf0(v6, v1) = v7 & aElementOf0(v4, v1) = 0 & sdtpldt0(v3, v4) = v6) | (v5 = 0 & ~ (v7 = 0) & aElementOf0(v6, v1) = v7 & sdtasdt0(v4, v3) = v6 & aElement0(v4) = 0)))
% 66.23/24.33 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7 yields:
% 66.23/24.33 | (1) ~ (all_0_5_5 = 0) & ~ (sz10 = sz00) & slsdtgt0(xc) = all_0_6_6 & aIdeal0(all_0_6_6) = all_0_5_5 & aSet0(all_0_6_6) = 0 & aElementOf0(all_0_4_4, all_0_6_6) = 0 & smndt0(sz10) = all_0_7_7 & aElement0(xc) = 0 & aElement0(sz10) = 0 & aElement0(sz00) = 0 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v5 = 0 | ~ (sdtpldt1(v0, v1) = v2) | ~ (aSet0(v2) = v3) | ~ (aElementOf0(v4, v2) = v5) | ~ (sdtpldt0(v6, v7) = v4) | ? [v8] : ? [v9] : ((aSet0(v1) = v9 & aSet0(v0) = v8 & ( ~ (v9 = 0) | ~ (v8 = 0))) | (aElementOf0(v7, v1) = v9 & aElementOf0(v6, v0) = v8 & ( ~ (v9 = 0) | ~ (v8 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = 0 | ~ (slsdtgt0(v0) = v1) | ~ (aSet0(v1) = v2) | ~ (aElementOf0(v3, v1) = v4) | ~ (sdtasdt0(v0, v5) = v3) | ? [v6] : (( ~ (v6 = 0) & aElement0(v5) = v6) | ( ~ (v6 = 0) & aElement0(v0) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (sdtasasdt0(v0, v1) = v2) | ~ (aSet0(v2) = v3) | ~ (aElementOf0(v4, v0) = v5) | ? [v6] : ? [v7] : ((aSet0(v1) = v7 & aSet0(v0) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0))) | (aElementOf0(v4, v2) = v6 & aElementOf0(v4, v1) = v7 & ( ~ (v6 = 0) | (v7 = 0 & v5 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (aElementOf0(v4, v2) = v5) | ~ (sdtpldt0(v0, v3) = v4) | ~ (smndt0(v1) = v3) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (sdteqdtlpzmzozddtrp0(v0, v1, v2) = v9 & aIdeal0(v2) = v8 & aElement0(v1) = v7 & aElement0(v0) = v6 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | (( ~ (v9 = 0) | v5 = 0) & ( ~ (v5 = 0) | v9 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (sdtasdt0(v0, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ (sdtpldt0(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (sdtasdt0(v9, v0) = v11 & sdtasdt0(v2, v0) = v13 & sdtasdt0(v1, v0) = v12 & sdtasdt0(v0, v9) = v10 & sdtpldt0(v12, v13) = v14 & sdtpldt0(v1, v2) = v9 & aElement0(v2) = v8 & aElement0(v1) = v7 & aElement0(v0) = v6 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | (v14 = v11 & v10 = v5)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (aGcdOfAnd0(v2, v0, v1) = 0) | ~ (doDivides0(v3, v2) = v4) | ~ (aElement0(v1) = 0) | ~ (aElement0(v0) = 0) | ? [v5] : ? [v6] : (aDivisorOf0(v3, v1) = v6 & aDivisorOf0(v3, v0) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (aIdeal0(v0) = 0) | ~ (aElementOf0(v3, v0) = v4) | ~ (aElementOf0(v1, v0) = 0) | ~ (sdtasdt0(v2, v1) = v3) | ? [v5] : ( ~ (v5 = 0) & aElement0(v2) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (aIdeal0(v0) = 0) | ~ (aElementOf0(v3, v0) = v4) | ~ (aElementOf0(v1, v0) = 0) | ~ (sdtpldt0(v1, v2) = v3) | ? [v5] : ( ~ (v5 = 0) & aElementOf0(v2, v0) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (aGcdOfAnd0(v4, v3, v2) = v1) | ~ (aGcdOfAnd0(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (sdteqdtlpzmzozddtrp0(v4, v3, v2) = v1) | ~ (sdteqdtlpzmzozddtrp0(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtasasdt0(v0, v1) = v2) | ~ (aSet0(v2) = v3) | ~ (aElementOf0(v4, v0) = 0) | ? [v5] : ? [v6] : ((aSet0(v1) = v6 & aSet0(v0) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0))) | (aElementOf0(v4, v2) = v6 & aElementOf0(v4, v1) = v5 & ( ~ (v5 = 0) | v6 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt1(v0, v1) = v2) | ~ (aSet0(v2) = v3) | ~ (aElementOf0(v4, v2) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ((v9 = v4 & v8 = 0 & v7 = 0 & aElementOf0(v6, v1) = 0 & aElementOf0(v5, v0) = 0 & sdtpldt0(v5, v6) = v4) | (aSet0(v1) = v6 & aSet0(v0) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt1(v0, v1) = v2) | ~ (aElement0(v4) = 0) | ~ (aElement0(v3) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ((v8 = 0 & v7 = 0 & v6 = 0 & sdteqdtlpzmzozddtrp0(v5, v4, v1) = 0 & sdteqdtlpzmzozddtrp0(v5, v3, v0) = 0 & aElement0(v5) = 0) | (v6 = 0 & ~ (v7 = 0) & aElementOf0(v5, v2) = v7 & aElement0(v5) = 0) | (aIdeal0(v1) = v6 & aIdeal0(v0) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtasdt0(v3, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (sdtasdt0(v1, v2) = v8 & sdtasdt0(v0, v8) = v9 & aElement0(v2) = v7 & aElement0(v1) = v6 & aElement0(v0) = v5 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | v9 = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (sdtpldt0(v1, v2) = v8 & sdtpldt0(v0, v8) = v9 & aElement0(v2) = v7 & aElement0(v1) = v6 & aElement0(v0) = v5 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | v9 = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (sdtasasdt0(v0, v1) = v2) | ~ (aSet0(v3) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((aSet0(v1) = v5 & aSet0(v0) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))) | (aElementOf0(v4, v3) = v5 & aElementOf0(v4, v1) = v7 & aElementOf0(v4, v0) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0)) & (v5 = 0 | (v7 = 0 & v6 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (sdtpldt1(v0, v1) = v2) | ~ (aSet0(v3) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ((aSet0(v1) = v5 & aSet0(v0) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))) | (aElementOf0(v4, v3) = v5 & ( ~ (v5 = 0) | ! [v11] : ! [v12] : ( ~ (sdtpldt0(v11, v12) = v4) | ? [v13] : ? [v14] : (aElementOf0(v12, v1) = v14 & aElementOf0(v11, v0) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0))))) & (v5 = 0 | (v10 = v4 & v9 = 0 & v8 = 0 & aElementOf0(v7, v1) = 0 & aElementOf0(v6, v0) = 0 & sdtpldt0(v6, v7) = v4))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (aGcdOfAnd0(v2, v0, v1) = v3) | ~ (aElement0(v1) = 0) | ~ (aElement0(v0) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v6 = 0 & v5 = 0 & ~ (v7 = 0) & aDivisorOf0(v4, v1) = 0 & aDivisorOf0(v4, v0) = 0 & doDivides0(v4, v2) = v7) | (aDivisorOf0(v2, v1) = v5 & aDivisorOf0(v2, v0) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (sdtasasdt0(v0, v1) = v2) | ~ (aSet0(v2) = v3) | ? [v4] : ? [v5] : (aSet0(v1) = v5 & aSet0(v0) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (sdtpldt1(v0, v1) = v2) | ~ (aSet0(v2) = v3) | ? [v4] : ? [v5] : (aSet0(v1) = v5 & aSet0(v0) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = 0 | ~ (doDivides0(v0, v1) = v2) | ~ (sdtasdt0(v0, v3) = v1) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & aElement0(v3) = v4) | (aElement0(v1) = v5 & aElement0(v0) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (misRelativelyPrime0(v3, v2) = v1) | ~ (misRelativelyPrime0(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (aDivisorOf0(v3, v2) = v1) | ~ (aDivisorOf0(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (doDivides0(v3, v2) = v1) | ~ (doDivides0(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (iLess0(v3, v2) = v1) | ~ (iLess0(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtasasdt0(v3, v2) = v1) | ~ (sdtasasdt0(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtpldt1(v3, v2) = v1) | ~ (sdtpldt1(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (aElementOf0(v3, v2) = v1) | ~ (aElementOf0(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtasdt0(v3, v2) = v1) | ~ (sdtasdt0(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (slsdtgt0(v0) = v1) | ~ (aSet0(v1) = v2) | ~ (aElementOf0(v3, v1) = 0) | ? [v4] : ? [v5] : ? [v6] : ((v6 = v3 & v5 = 0 & sdtasdt0(v0, v4) = v3 & aElement0(v4) = 0) | ( ~ (v4 = 0) & aElement0(v0) = v4))) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (slsdtgt0(v0) = v1) | ~ (aSet0(v2) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (( ~ (v3 = 0) & aElement0(v0) = v3) | (aElementOf0(v3, v2) = v4 & ( ~ (v4 = 0) | ! [v8] : ( ~ (sdtasdt0(v0, v8) = v3) | ? [v9] : ( ~ (v9 = 0) & aElement0(v8) = v9))) & (v4 = 0 | (v7 = v3 & v6 = 0 & sdtasdt0(v0, v5) = v3 & aElement0(v5) = 0))))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (slsdtgt0(v0) = v1) | ~ (aSet0(v1) = v2) | ? [v3] : ( ~ (v3 = 0) & aElement0(v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (slsdtgt0(v2) = v1) | ~ (slsdtgt0(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (sbrdtbr0(v2) = v1) | ~ (sbrdtbr0(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aNaturalNumber0(v2) = v1) | ~ (aNaturalNumber0(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aIdeal0(v2) = v1) | ~ (aIdeal0(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aSet0(v2) = v1) | ~ (aSet0(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] : (v1 = sz00 | ~ (sbrdtbr0(v1) = v2) | ~ (aElement0(v0) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ((v8 = v0 & v6 = 0 & v5 = 0 & iLess0(v9, v2) = v10 & sbrdtbr0(v4) = v9 & sdtasdt0(v3, v1) = v7 & sdtpldt0(v7, v4) = v0 & aElement0(v4) = 0 & aElement0(v3) = 0 & (v10 = 0 | v4 = sz00)) | ( ~ (v3 = 0) & aElement0(v1) = v3))) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (aElementOf0(v0, all_0_6_6) = v1) | ~ (sdtasdt0(xc, v2) = v0) | ? [v3] : ( ~ (v3 = 0) & aElement0(v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (aGcdOfAnd0(v2, v0, v1) = 0) | ~ (aElement0(v1) = 0) | ~ (aElement0(v0) = 0) | (aDivisorOf0(v2, v1) = 0 & aDivisorOf0(v2, v0) = 0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (aGcdOfAnd0(sz10, v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (misRelativelyPrime0(v0, v1) = v5 & aElement0(v1) = v4 & aElement0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | (( ~ (v5 = 0) | v2 = 0) & ( ~ (v2 = 0) | v5 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (doDivides0(v1, v0) = v2) | ~ (aElement0(v0) = 0) | ? [v3] : ? [v4] : (aDivisorOf0(v1, v0) = v3 & aElement0(v1) = v4 & ( ~ (v3 = 0) | (v4 = 0 & v2 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasasdt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (aIdeal0(v2) = v5 & aIdeal0(v1) = v4 & aIdeal0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt1(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (aIdeal0(v2) = v5 & aIdeal0(v1) = v4 & aIdeal0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasdt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (sdtasdt0(v1, v0) = v5 & aElement0(v1) = v4 & aElement0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = v2))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasdt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (aElement0(v2) = v5 & aElement0(v1) = v4 & aElement0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v1, v0) = v2) | ~ (smndt0(v0) = v1) | ? [v3] : ? [v4] : (sdtpldt0(v0, v1) = v4 & aElement0(v0) = v3 & ( ~ (v3 = 0) | (v4 = sz00 & v2 = sz00)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (sdtpldt0(v1, v0) = v5 & aElement0(v1) = v4 & aElement0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = v2))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (aElement0(v2) = v5 & aElement0(v1) = v4 & aElement0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (aSet0(v1) = 0) | ~ (aSet0(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ((v3 = 0 & ~ (v4 = 0) & aElementOf0(v2, v1) = v4 & aElementOf0(v2, v0) = 0) | (v3 = 0 & ~ (v4 = 0) & aElementOf0(v2, v1) = 0 & aElementOf0(v2, v0) = v4))) & ! [v0] : ! [v1] : (v1 = sz00 | v0 = sz00 | ~ (sdtasdt0(v0, v1) = sz00) | ? [v2] : ? [v3] : (aElement0(v1) = v3 & aElement0(v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (aIdeal0(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v3 = 0 & aElementOf0(v2, v0) = 0 & ((v5 = 0 & ~ (v7 = 0) & aElementOf0(v6, v0) = v7 & aElementOf0(v4, v0) = 0 & sdtpldt0(v2, v4) = v6) | (v5 = 0 & ~ (v7 = 0) & aElementOf0(v6, v0) = v7 & sdtasdt0(v4, v2) = v6 & aElement0(v4) = 0))) | ( ~ (v2 = 0) & aSet0(v0) = v2))) & ! [v0] : ! [v1] : (v0 = sz00 | ~ (sbrdtbr0(v0) = v1) | ? [v2] : ? [v3] : (aNaturalNumber0(v1) = v3 & aElement0(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (doDivides0(v1, v0) = 0) | ~ (aElement0(v0) = 0) | ? [v2] : ? [v3] : (aDivisorOf0(v1, v0) = v3 & aElement0(v1) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (doDivides0(v0, v1) = 0) | ? [v2] : ? [v3] : ? [v4] : ((v4 = v1 & v3 = 0 & sdtasdt0(v0, v2) = v1 & aElement0(v2) = 0) | (aElement0(v1) = v3 & aElement0(v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))) & ! [v0] : ! [v1] : ( ~ (aSet0(v0) = 0) | ~ (aElementOf0(v1, v0) = 0) | aElement0(v1) = 0) & ! [v0] : ! [v1] : ( ~ (sdtasdt0(all_0_7_7, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(v0, all_0_7_7) = v4 & smndt0(v0) = v3 & aElement0(v0) = v2 & ( ~ (v2 = 0) | (v4 = v1 & v3 = v1)))) & ! [v0] : ! [v1] : ( ~ (sdtasdt0(sz10, v0) = v1) | ? [v2] : ? [v3] : (sdtasdt0(v0, sz10) = v3 & aElement0(v0) = v2 & ( ~ (v2 = 0) | (v3 = v0 & v1 = v0)))) & ! [v0] : ! [v1] : ( ~ (sdtasdt0(sz00, v0) = v1) | ? [v2] : ? [v3] : (sdtasdt0(v0, sz00) = v3 & aElement0(v0) = v2 & ( ~ (v2 = 0) | (v3 = sz00 & v1 = sz00)))) & ! [v0] : ! [v1] : ( ~ (sdtpldt0(sz00, v0) = v1) | ? [v2] : ? [v3] : (sdtpldt0(v0, sz00) = v3 & aElement0(v0) = v2 & ( ~ (v2 = 0) | (v3 = v0 & v1 = v0)))) & ! [v0] : ! [v1] : ( ~ (smndt0(v0) = v1) | ? [v2] : ? [v3] : (aElement0(v1) = v3 & aElement0(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ( ~ (aIdeal0(v0) = 0) | aSet0(v0) = 0) & ! [v0] : ( ~ (aElementOf0(v0, all_0_6_6) = 0) | ? [v1] : (sdtasdt0(xc, v1) = v0 & aElement0(v1) = 0)) & ((all_0_2_2 = 0 & ~ (all_0_0_0 = 0) & aElementOf0(all_0_1_1, all_0_6_6) = all_0_0_0 & aElementOf0(all_0_3_3, all_0_6_6) = 0 & sdtpldt0(all_0_4_4, all_0_3_3) = all_0_1_1) | (all_0_2_2 = 0 & ~ (all_0_0_0 = 0) & aElementOf0(all_0_1_1, all_0_6_6) = all_0_0_0 & sdtasdt0(all_0_3_3, all_0_4_4) = all_0_1_1 & aElement0(all_0_3_3) = 0))
% 66.56/24.37 |
% 66.56/24.37 | Applying alpha-rule on (1) yields:
% 66.56/24.37 | (2) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (aGcdOfAnd0(v2, v0, v1) = v3) | ~ (aElement0(v1) = 0) | ~ (aElement0(v0) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v6 = 0 & v5 = 0 & ~ (v7 = 0) & aDivisorOf0(v4, v1) = 0 & aDivisorOf0(v4, v0) = 0 & doDivides0(v4, v2) = v7) | (aDivisorOf0(v2, v1) = v5 & aDivisorOf0(v2, v0) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0)))))
% 66.56/24.37 | (3) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasdt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (aElement0(v2) = v5 & aElement0(v1) = v4 & aElement0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0)))
% 66.56/24.37 | (4) ! [v0] : ! [v1] : ( ~ (smndt0(v0) = v1) | ? [v2] : ? [v3] : (aElement0(v1) = v3 & aElement0(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 66.56/24.37 | (5) ! [v0] : ! [v1] : ( ~ (sdtpldt0(sz00, v0) = v1) | ? [v2] : ? [v3] : (sdtpldt0(v0, sz00) = v3 & aElement0(v0) = v2 & ( ~ (v2 = 0) | (v3 = v0 & v1 = v0))))
% 66.56/24.37 | (6) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (sdtasasdt0(v0, v1) = v2) | ~ (aSet0(v2) = v3) | ? [v4] : ? [v5] : (aSet0(v1) = v5 & aSet0(v0) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))
% 66.56/24.38 | (7) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aIdeal0(v2) = v1) | ~ (aIdeal0(v2) = v0))
% 66.56/24.38 | (8) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (sdtpldt0(v1, v0) = v5 & aElement0(v1) = v4 & aElement0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = v2)))
% 66.56/24.38 | (9) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasasdt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (aIdeal0(v2) = v5 & aIdeal0(v1) = v4 & aIdeal0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0)))
% 66.56/24.38 | (10) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (sdtasasdt0(v0, v1) = v2) | ~ (aSet0(v3) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((aSet0(v1) = v5 & aSet0(v0) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))) | (aElementOf0(v4, v3) = v5 & aElementOf0(v4, v1) = v7 & aElementOf0(v4, v0) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0)) & (v5 = 0 | (v7 = 0 & v6 = 0)))))
% 66.56/24.38 | (11) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (sdtasdt0(v0, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ (sdtpldt0(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (sdtasdt0(v9, v0) = v11 & sdtasdt0(v2, v0) = v13 & sdtasdt0(v1, v0) = v12 & sdtasdt0(v0, v9) = v10 & sdtpldt0(v12, v13) = v14 & sdtpldt0(v1, v2) = v9 & aElement0(v2) = v8 & aElement0(v1) = v7 & aElement0(v0) = v6 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | (v14 = v11 & v10 = v5))))
% 66.56/24.38 | (12) slsdtgt0(xc) = all_0_6_6
% 66.56/24.38 | (13) ! [v0] : ! [v1] : ( ~ (sdtasdt0(sz10, v0) = v1) | ? [v2] : ? [v3] : (sdtasdt0(v0, sz10) = v3 & aElement0(v0) = v2 & ( ~ (v2 = 0) | (v3 = v0 & v1 = v0))))
% 66.56/24.38 | (14) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (sdtasasdt0(v0, v1) = v2) | ~ (aSet0(v2) = v3) | ~ (aElementOf0(v4, v0) = v5) | ? [v6] : ? [v7] : ((aSet0(v1) = v7 & aSet0(v0) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0))) | (aElementOf0(v4, v2) = v6 & aElementOf0(v4, v1) = v7 & ( ~ (v6 = 0) | (v7 = 0 & v5 = 0)))))
% 66.56/24.38 | (15) ! [v0] : ! [v1] : ! [v2] : ( ~ (doDivides0(v1, v0) = v2) | ~ (aElement0(v0) = 0) | ? [v3] : ? [v4] : (aDivisorOf0(v1, v0) = v3 & aElement0(v1) = v4 & ( ~ (v3 = 0) | (v4 = 0 & v2 = 0))))
% 66.56/24.38 | (16) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (aElementOf0(v4, v2) = v5) | ~ (sdtpldt0(v0, v3) = v4) | ~ (smndt0(v1) = v3) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (sdteqdtlpzmzozddtrp0(v0, v1, v2) = v9 & aIdeal0(v2) = v8 & aElement0(v1) = v7 & aElement0(v0) = v6 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | (( ~ (v9 = 0) | v5 = 0) & ( ~ (v5 = 0) | v9 = 0)))))
% 66.56/24.38 | (17) ! [v0] : ! [v1] : (v0 = sz00 | ~ (sbrdtbr0(v0) = v1) | ? [v2] : ? [v3] : (aNaturalNumber0(v1) = v3 & aElement0(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 66.56/24.38 | (18) ! [v0] : ! [v1] : ( ~ (doDivides0(v1, v0) = 0) | ~ (aElement0(v0) = 0) | ? [v2] : ? [v3] : (aDivisorOf0(v1, v0) = v3 & aElement0(v1) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 66.56/24.38 | (19) aIdeal0(all_0_6_6) = all_0_5_5
% 66.56/24.38 | (20) aSet0(all_0_6_6) = 0
% 66.56/24.38 | (21) ! [v0] : ! [v1] : ( ~ (doDivides0(v0, v1) = 0) | ? [v2] : ? [v3] : ? [v4] : ((v4 = v1 & v3 = 0 & sdtasdt0(v0, v2) = v1 & aElement0(v2) = 0) | (aElement0(v1) = v3 & aElement0(v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))))
% 66.56/24.38 | (22) ! [v0] : ( ~ (aIdeal0(v0) = 0) | aSet0(v0) = 0)
% 66.56/24.38 | (23) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (aDivisorOf0(v3, v2) = v1) | ~ (aDivisorOf0(v3, v2) = v0))
% 66.56/24.38 | (24) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (aGcdOfAnd0(v4, v3, v2) = v1) | ~ (aGcdOfAnd0(v4, v3, v2) = v0))
% 66.56/24.38 | (25) (all_0_2_2 = 0 & ~ (all_0_0_0 = 0) & aElementOf0(all_0_1_1, all_0_6_6) = all_0_0_0 & aElementOf0(all_0_3_3, all_0_6_6) = 0 & sdtpldt0(all_0_4_4, all_0_3_3) = all_0_1_1) | (all_0_2_2 = 0 & ~ (all_0_0_0 = 0) & aElementOf0(all_0_1_1, all_0_6_6) = all_0_0_0 & sdtasdt0(all_0_3_3, all_0_4_4) = all_0_1_1 & aElement0(all_0_3_3) = 0)
% 66.56/24.39 | (26) smndt0(sz10) = all_0_7_7
% 66.56/24.39 | (27) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = 0 | ~ (slsdtgt0(v0) = v1) | ~ (aSet0(v1) = v2) | ~ (aElementOf0(v3, v1) = v4) | ~ (sdtasdt0(v0, v5) = v3) | ? [v6] : (( ~ (v6 = 0) & aElement0(v5) = v6) | ( ~ (v6 = 0) & aElement0(v0) = v6)))
% 66.82/24.39 | (28) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (slsdtgt0(v2) = v1) | ~ (slsdtgt0(v2) = v0))
% 66.82/24.39 | (29) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtasasdt0(v0, v1) = v2) | ~ (aSet0(v2) = v3) | ~ (aElementOf0(v4, v0) = 0) | ? [v5] : ? [v6] : ((aSet0(v1) = v6 & aSet0(v0) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0))) | (aElementOf0(v4, v2) = v6 & aElementOf0(v4, v1) = v5 & ( ~ (v5 = 0) | v6 = 0))))
% 66.82/24.39 | (30) aElement0(xc) = 0
% 66.82/24.39 | (31) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0))
% 66.82/24.39 | (32) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (aIdeal0(v0) = 0) | ~ (aElementOf0(v3, v0) = v4) | ~ (aElementOf0(v1, v0) = 0) | ~ (sdtpldt0(v1, v2) = v3) | ? [v5] : ( ~ (v5 = 0) & aElementOf0(v2, v0) = v5))
% 66.82/24.39 | (33) ~ (sz10 = sz00)
% 66.82/24.39 | (34) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt1(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (aIdeal0(v2) = v5 & aIdeal0(v1) = v4 & aIdeal0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0)))
% 66.82/24.39 | (35) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (aIdeal0(v0) = 0) | ~ (aElementOf0(v3, v0) = v4) | ~ (aElementOf0(v1, v0) = 0) | ~ (sdtasdt0(v2, v1) = v3) | ? [v5] : ( ~ (v5 = 0) & aElement0(v2) = v5))
% 66.82/24.39 | (36) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (sdtpldt1(v0, v1) = v2) | ~ (aSet0(v3) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ((aSet0(v1) = v5 & aSet0(v0) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))) | (aElementOf0(v4, v3) = v5 & ( ~ (v5 = 0) | ! [v11] : ! [v12] : ( ~ (sdtpldt0(v11, v12) = v4) | ? [v13] : ? [v14] : (aElementOf0(v12, v1) = v14 & aElementOf0(v11, v0) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0))))) & (v5 = 0 | (v10 = v4 & v9 = 0 & v8 = 0 & aElementOf0(v7, v1) = 0 & aElementOf0(v6, v0) = 0 & sdtpldt0(v6, v7) = v4)))))
% 66.82/24.39 | (37) ~ (all_0_5_5 = 0)
% 66.82/24.39 | (38) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtasasdt0(v3, v2) = v1) | ~ (sdtasasdt0(v3, v2) = v0))
% 66.82/24.39 | (39) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (slsdtgt0(v0) = v1) | ~ (aSet0(v2) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (( ~ (v3 = 0) & aElement0(v0) = v3) | (aElementOf0(v3, v2) = v4 & ( ~ (v4 = 0) | ! [v8] : ( ~ (sdtasdt0(v0, v8) = v3) | ? [v9] : ( ~ (v9 = 0) & aElement0(v8) = v9))) & (v4 = 0 | (v7 = v3 & v6 = 0 & sdtasdt0(v0, v5) = v3 & aElement0(v5) = 0)))))
% 66.82/24.39 | (40) aElement0(sz00) = 0
% 66.82/24.39 | (41) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (iLess0(v3, v2) = v1) | ~ (iLess0(v3, v2) = v0))
% 66.82/24.39 | (42) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (sbrdtbr0(v2) = v1) | ~ (sbrdtbr0(v2) = v0))
% 66.82/24.39 | (43) ! [v0] : ! [v1] : (v1 = v0 | ~ (aSet0(v1) = 0) | ~ (aSet0(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ((v3 = 0 & ~ (v4 = 0) & aElementOf0(v2, v1) = v4 & aElementOf0(v2, v0) = 0) | (v3 = 0 & ~ (v4 = 0) & aElementOf0(v2, v1) = 0 & aElementOf0(v2, v0) = v4)))
% 66.82/24.39 | (44) aElementOf0(all_0_4_4, all_0_6_6) = 0
% 66.82/24.39 | (45) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasdt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (sdtasdt0(v1, v0) = v5 & aElement0(v1) = v4 & aElement0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = v2)))
% 66.82/24.39 | (46) ! [v0] : ! [v1] : (v1 = sz00 | v0 = sz00 | ~ (sdtasdt0(v0, v1) = sz00) | ? [v2] : ? [v3] : (aElement0(v1) = v3 & aElement0(v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 66.82/24.39 | (47) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt1(v0, v1) = v2) | ~ (aSet0(v2) = v3) | ~ (aElementOf0(v4, v2) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ((v9 = v4 & v8 = 0 & v7 = 0 & aElementOf0(v6, v1) = 0 & aElementOf0(v5, v0) = 0 & sdtpldt0(v5, v6) = v4) | (aSet0(v1) = v6 & aSet0(v0) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0)))))
% 66.82/24.40 | (48) ! [v0] : ! [v1] : ! [v2] : ( ~ (aGcdOfAnd0(sz10, v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (misRelativelyPrime0(v0, v1) = v5 & aElement0(v1) = v4 & aElement0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | (( ~ (v5 = 0) | v2 = 0) & ( ~ (v2 = 0) | v5 = 0)))))
% 66.82/24.40 | (49) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (sdtpldt0(v1, v2) = v8 & sdtpldt0(v0, v8) = v9 & aElement0(v2) = v7 & aElement0(v1) = v6 & aElement0(v0) = v5 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | v9 = v4)))
% 66.82/24.40 | (50) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (slsdtgt0(v0) = v1) | ~ (aSet0(v1) = v2) | ~ (aElementOf0(v3, v1) = 0) | ? [v4] : ? [v5] : ? [v6] : ((v6 = v3 & v5 = 0 & sdtasdt0(v0, v4) = v3 & aElement0(v4) = 0) | ( ~ (v4 = 0) & aElement0(v0) = v4)))
% 66.82/24.40 | (51) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtasdt0(v3, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (sdtasdt0(v1, v2) = v8 & sdtasdt0(v0, v8) = v9 & aElement0(v2) = v7 & aElement0(v1) = v6 & aElement0(v0) = v5 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | v9 = v4)))
% 66.82/24.40 | (52) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtpldt1(v3, v2) = v1) | ~ (sdtpldt1(v3, v2) = v0))
% 66.82/24.40 | (53) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (aGcdOfAnd0(v2, v0, v1) = 0) | ~ (doDivides0(v3, v2) = v4) | ~ (aElement0(v1) = 0) | ~ (aElement0(v0) = 0) | ? [v5] : ? [v6] : (aDivisorOf0(v3, v1) = v6 & aDivisorOf0(v3, v0) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0))))
% 66.82/24.40 | (54) ! [v0] : ! [v1] : ! [v2] : ( ~ (aGcdOfAnd0(v2, v0, v1) = 0) | ~ (aElement0(v1) = 0) | ~ (aElement0(v0) = 0) | (aDivisorOf0(v2, v1) = 0 & aDivisorOf0(v2, v0) = 0))
% 66.82/24.40 | (55) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aElement0(v2) = v1) | ~ (aElement0(v2) = v0))
% 66.82/24.40 | (56) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (aElementOf0(v0, all_0_6_6) = v1) | ~ (sdtasdt0(xc, v2) = v0) | ? [v3] : ( ~ (v3 = 0) & aElement0(v2) = v3))
% 66.82/24.40 | (57) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (sdteqdtlpzmzozddtrp0(v4, v3, v2) = v1) | ~ (sdteqdtlpzmzozddtrp0(v4, v3, v2) = v0))
% 66.82/24.40 | (58) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (sdtpldt1(v0, v1) = v2) | ~ (aSet0(v2) = v3) | ? [v4] : ? [v5] : (aSet0(v1) = v5 & aSet0(v0) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))
% 66.82/24.40 | (59) aElement0(sz10) = 0
% 66.82/24.40 | (60) ! [v0] : ! [v1] : ( ~ (aSet0(v0) = 0) | ~ (aElementOf0(v1, v0) = 0) | aElement0(v1) = 0)
% 66.82/24.40 | (61) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt1(v0, v1) = v2) | ~ (aElement0(v4) = 0) | ~ (aElement0(v3) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ((v8 = 0 & v7 = 0 & v6 = 0 & sdteqdtlpzmzozddtrp0(v5, v4, v1) = 0 & sdteqdtlpzmzozddtrp0(v5, v3, v0) = 0 & aElement0(v5) = 0) | (v6 = 0 & ~ (v7 = 0) & aElementOf0(v5, v2) = v7 & aElement0(v5) = 0) | (aIdeal0(v1) = v6 & aIdeal0(v0) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0)))))
% 66.82/24.40 | (62) ! [v0] : ( ~ (aElementOf0(v0, all_0_6_6) = 0) | ? [v1] : (sdtasdt0(xc, v1) = v0 & aElement0(v1) = 0))
% 66.82/24.40 | (63) ! [v0] : ! [v1] : (v1 = 0 | ~ (aIdeal0(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v3 = 0 & aElementOf0(v2, v0) = 0 & ((v5 = 0 & ~ (v7 = 0) & aElementOf0(v6, v0) = v7 & aElementOf0(v4, v0) = 0 & sdtpldt0(v2, v4) = v6) | (v5 = 0 & ~ (v7 = 0) & aElementOf0(v6, v0) = v7 & sdtasdt0(v4, v2) = v6 & aElement0(v4) = 0))) | ( ~ (v2 = 0) & aSet0(v0) = v2)))
% 66.82/24.40 | (64) ! [v0] : ! [v1] : ( ~ (sdtasdt0(all_0_7_7, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(v0, all_0_7_7) = v4 & smndt0(v0) = v3 & aElement0(v0) = v2 & ( ~ (v2 = 0) | (v4 = v1 & v3 = v1))))
% 66.82/24.41 | (65) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (aElementOf0(v3, v2) = v1) | ~ (aElementOf0(v3, v2) = v0))
% 66.82/24.41 | (66) ! [v0] : ! [v1] : ( ~ (sdtasdt0(sz00, v0) = v1) | ? [v2] : ? [v3] : (sdtasdt0(v0, sz00) = v3 & aElement0(v0) = v2 & ( ~ (v2 = 0) | (v3 = sz00 & v1 = sz00))))
% 66.82/24.41 | (67) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = 0 | ~ (doDivides0(v0, v1) = v2) | ~ (sdtasdt0(v0, v3) = v1) | ? [v4] : ? [v5] : (( ~ (v4 = 0) & aElement0(v3) = v4) | (aElement0(v1) = v5 & aElement0(v0) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0)))))
% 66.82/24.41 | (68) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aNaturalNumber0(v2) = v1) | ~ (aNaturalNumber0(v2) = v0))
% 66.82/24.41 | (69) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v1, v0) = v2) | ~ (smndt0(v0) = v1) | ? [v3] : ? [v4] : (sdtpldt0(v0, v1) = v4 & aElement0(v0) = v3 & ( ~ (v3 = 0) | (v4 = sz00 & v2 = sz00))))
% 66.82/24.41 | (70) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (doDivides0(v3, v2) = v1) | ~ (doDivides0(v3, v2) = v0))
% 66.82/24.41 | (71) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (smndt0(v2) = v1) | ~ (smndt0(v2) = v0))
% 66.82/24.41 | (72) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (misRelativelyPrime0(v3, v2) = v1) | ~ (misRelativelyPrime0(v3, v2) = v0))
% 66.82/24.41 | (73) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (slsdtgt0(v0) = v1) | ~ (aSet0(v1) = v2) | ? [v3] : ( ~ (v3 = 0) & aElement0(v0) = v3))
% 66.82/24.41 | (74) ! [v0] : ! [v1] : ! [v2] : (v1 = sz00 | ~ (sbrdtbr0(v1) = v2) | ~ (aElement0(v0) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ((v8 = v0 & v6 = 0 & v5 = 0 & iLess0(v9, v2) = v10 & sbrdtbr0(v4) = v9 & sdtasdt0(v3, v1) = v7 & sdtpldt0(v7, v4) = v0 & aElement0(v4) = 0 & aElement0(v3) = 0 & (v10 = 0 | v4 = sz00)) | ( ~ (v3 = 0) & aElement0(v1) = v3)))
% 66.82/24.41 | (75) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (aElement0(v2) = v5 & aElement0(v1) = v4 & aElement0(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0)))
% 66.82/24.41 | (76) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aSet0(v2) = v1) | ~ (aSet0(v2) = v0))
% 66.82/24.41 | (77) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v5 = 0 | ~ (sdtpldt1(v0, v1) = v2) | ~ (aSet0(v2) = v3) | ~ (aElementOf0(v4, v2) = v5) | ~ (sdtpldt0(v6, v7) = v4) | ? [v8] : ? [v9] : ((aSet0(v1) = v9 & aSet0(v0) = v8 & ( ~ (v9 = 0) | ~ (v8 = 0))) | (aElementOf0(v7, v1) = v9 & aElementOf0(v6, v0) = v8 & ( ~ (v9 = 0) | ~ (v8 = 0)))))
% 66.82/24.41 | (78) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtasdt0(v3, v2) = v1) | ~ (sdtasdt0(v3, v2) = v0))
% 66.82/24.41 |
% 66.82/24.42 | Instantiating formula (63) with all_0_5_5, all_0_6_6 and discharging atoms aIdeal0(all_0_6_6) = all_0_5_5, yields:
% 66.82/24.42 | (79) all_0_5_5 = 0 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ((v1 = 0 & aElementOf0(v0, all_0_6_6) = 0 & ((v3 = 0 & ~ (v5 = 0) & aElementOf0(v4, all_0_6_6) = v5 & aElementOf0(v2, all_0_6_6) = 0 & sdtpldt0(v0, v2) = v4) | (v3 = 0 & ~ (v5 = 0) & aElementOf0(v4, all_0_6_6) = v5 & sdtasdt0(v2, v0) = v4 & aElement0(v2) = 0))) | ( ~ (v0 = 0) & aSet0(all_0_6_6) = v0))
% 66.82/24.42 |
% 66.82/24.42 | Instantiating formula (50) with all_0_4_4, 0, all_0_6_6, xc and discharging atoms slsdtgt0(xc) = all_0_6_6, aSet0(all_0_6_6) = 0, aElementOf0(all_0_4_4, all_0_6_6) = 0, yields:
% 66.82/24.42 | (80) ? [v0] : ? [v1] : ? [v2] : ((v2 = all_0_4_4 & v1 = 0 & sdtasdt0(xc, v0) = all_0_4_4 & aElement0(v0) = 0) | ( ~ (v0 = 0) & aElement0(xc) = v0))
% 66.82/24.42 |
% 66.82/24.42 | Instantiating formula (60) with all_0_4_4, all_0_6_6 and discharging atoms aSet0(all_0_6_6) = 0, aElementOf0(all_0_4_4, all_0_6_6) = 0, yields:
% 66.82/24.42 | (81) aElement0(all_0_4_4) = 0
% 66.82/24.42 |
% 66.82/24.42 | Instantiating formula (62) with all_0_4_4 and discharging atoms aElementOf0(all_0_4_4, all_0_6_6) = 0, yields:
% 66.82/24.42 | (82) ? [v0] : (sdtasdt0(xc, v0) = all_0_4_4 & aElement0(v0) = 0)
% 66.82/24.42 |
% 66.82/24.42 | Instantiating formula (4) with all_0_7_7, sz10 and discharging atoms smndt0(sz10) = all_0_7_7, yields:
% 66.82/24.42 | (83) ? [v0] : ? [v1] : (aElement0(all_0_7_7) = v1 & aElement0(sz10) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 66.82/24.42 |
% 66.82/24.42 | Instantiating (83) with all_9_0_8, all_9_1_9 yields:
% 66.82/24.42 | (84) aElement0(all_0_7_7) = all_9_0_8 & aElement0(sz10) = all_9_1_9 & ( ~ (all_9_1_9 = 0) | all_9_0_8 = 0)
% 66.82/24.42 |
% 66.82/24.42 | Applying alpha-rule on (84) yields:
% 66.82/24.42 | (85) aElement0(all_0_7_7) = all_9_0_8
% 66.82/24.42 | (86) aElement0(sz10) = all_9_1_9
% 66.82/24.42 | (87) ~ (all_9_1_9 = 0) | all_9_0_8 = 0
% 66.82/24.42 |
% 66.82/24.42 | Instantiating (80) with all_11_0_10, all_11_1_11, all_11_2_12 yields:
% 66.82/24.42 | (88) (all_11_0_10 = all_0_4_4 & all_11_1_11 = 0 & sdtasdt0(xc, all_11_2_12) = all_0_4_4 & aElement0(all_11_2_12) = 0) | ( ~ (all_11_2_12 = 0) & aElement0(xc) = all_11_2_12)
% 66.82/24.42 |
% 66.82/24.42 | Instantiating (82) with all_12_0_13 yields:
% 66.82/24.42 | (89) sdtasdt0(xc, all_12_0_13) = all_0_4_4 & aElement0(all_12_0_13) = 0
% 66.82/24.42 |
% 66.82/24.42 | Applying alpha-rule on (89) yields:
% 66.82/24.42 | (90) sdtasdt0(xc, all_12_0_13) = all_0_4_4
% 66.82/24.42 | (91) aElement0(all_12_0_13) = 0
% 66.82/24.42 |
% 66.82/24.42 +-Applying beta-rule and splitting (88), into two cases.
% 66.82/24.42 |-Branch one:
% 66.82/24.42 | (92) all_11_0_10 = all_0_4_4 & all_11_1_11 = 0 & sdtasdt0(xc, all_11_2_12) = all_0_4_4 & aElement0(all_11_2_12) = 0
% 66.82/24.42 |
% 66.82/24.42 | Applying alpha-rule on (92) yields:
% 66.82/24.42 | (93) all_11_0_10 = all_0_4_4
% 66.82/24.42 | (94) all_11_1_11 = 0
% 66.82/24.42 | (95) sdtasdt0(xc, all_11_2_12) = all_0_4_4
% 66.82/24.42 | (96) aElement0(all_11_2_12) = 0
% 66.82/24.42 |
% 66.82/24.42 +-Applying beta-rule and splitting (79), into two cases.
% 66.82/24.42 |-Branch one:
% 66.82/24.42 | (97) all_0_5_5 = 0
% 66.82/24.42 |
% 66.82/24.42 | Equations (97) can reduce 37 to:
% 66.82/24.42 | (98) $false
% 66.82/24.42 |
% 66.82/24.42 |-The branch is then unsatisfiable
% 66.82/24.42 |-Branch two:
% 66.82/24.42 | (37) ~ (all_0_5_5 = 0)
% 66.82/24.42 | (100) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ((v1 = 0 & aElementOf0(v0, all_0_6_6) = 0 & ((v3 = 0 & ~ (v5 = 0) & aElementOf0(v4, all_0_6_6) = v5 & aElementOf0(v2, all_0_6_6) = 0 & sdtpldt0(v0, v2) = v4) | (v3 = 0 & ~ (v5 = 0) & aElementOf0(v4, all_0_6_6) = v5 & sdtasdt0(v2, v0) = v4 & aElement0(v2) = 0))) | ( ~ (v0 = 0) & aSet0(all_0_6_6) = v0))
% 66.82/24.42 |
% 66.82/24.42 | Instantiating (100) with all_21_0_14, all_21_1_15, all_21_2_16, all_21_3_17, all_21_4_18, all_21_5_19 yields:
% 66.82/24.42 | (101) (all_21_4_18 = 0 & aElementOf0(all_21_5_19, all_0_6_6) = 0 & ((all_21_2_16 = 0 & ~ (all_21_0_14 = 0) & aElementOf0(all_21_1_15, all_0_6_6) = all_21_0_14 & aElementOf0(all_21_3_17, all_0_6_6) = 0 & sdtpldt0(all_21_5_19, all_21_3_17) = all_21_1_15) | (all_21_2_16 = 0 & ~ (all_21_0_14 = 0) & aElementOf0(all_21_1_15, all_0_6_6) = all_21_0_14 & sdtasdt0(all_21_3_17, all_21_5_19) = all_21_1_15 & aElement0(all_21_3_17) = 0))) | ( ~ (all_21_5_19 = 0) & aSet0(all_0_6_6) = all_21_5_19)
% 66.82/24.43 |
% 66.82/24.43 +-Applying beta-rule and splitting (101), into two cases.
% 66.82/24.43 |-Branch one:
% 66.82/24.43 | (102) all_21_4_18 = 0 & aElementOf0(all_21_5_19, all_0_6_6) = 0 & ((all_21_2_16 = 0 & ~ (all_21_0_14 = 0) & aElementOf0(all_21_1_15, all_0_6_6) = all_21_0_14 & aElementOf0(all_21_3_17, all_0_6_6) = 0 & sdtpldt0(all_21_5_19, all_21_3_17) = all_21_1_15) | (all_21_2_16 = 0 & ~ (all_21_0_14 = 0) & aElementOf0(all_21_1_15, all_0_6_6) = all_21_0_14 & sdtasdt0(all_21_3_17, all_21_5_19) = all_21_1_15 & aElement0(all_21_3_17) = 0))
% 66.82/24.43 |
% 66.82/24.43 | Applying alpha-rule on (102) yields:
% 66.82/24.43 | (103) all_21_4_18 = 0
% 66.82/24.43 | (104) aElementOf0(all_21_5_19, all_0_6_6) = 0
% 66.82/24.43 | (105) (all_21_2_16 = 0 & ~ (all_21_0_14 = 0) & aElementOf0(all_21_1_15, all_0_6_6) = all_21_0_14 & aElementOf0(all_21_3_17, all_0_6_6) = 0 & sdtpldt0(all_21_5_19, all_21_3_17) = all_21_1_15) | (all_21_2_16 = 0 & ~ (all_21_0_14 = 0) & aElementOf0(all_21_1_15, all_0_6_6) = all_21_0_14 & sdtasdt0(all_21_3_17, all_21_5_19) = all_21_1_15 & aElement0(all_21_3_17) = 0)
% 66.82/24.43 |
% 66.82/24.43 | Instantiating formula (55) with xc, all_9_0_8, 0 and discharging atoms aElement0(xc) = 0, yields:
% 66.82/24.43 | (106) all_9_0_8 = 0 | ~ (aElement0(xc) = all_9_0_8)
% 66.82/24.43 |
% 66.82/24.43 | Instantiating formula (55) with sz10, all_9_0_8, 0 and discharging atoms aElement0(sz10) = 0, yields:
% 66.82/24.43 | (107) all_9_0_8 = 0 | ~ (aElement0(sz10) = all_9_0_8)
% 66.82/24.43 |
% 66.82/24.43 | Instantiating formula (55) with sz00, all_9_0_8, 0 and discharging atoms aElement0(sz00) = 0, yields:
% 66.82/24.43 | (108) all_9_0_8 = 0 | ~ (aElement0(sz00) = all_9_0_8)
% 66.82/24.43 |
% 66.82/24.43 | Instantiating formula (55) with all_0_7_7, all_9_0_8, 0 and discharging atoms aElement0(all_0_7_7) = all_9_0_8, yields:
% 66.82/24.43 | (109) all_9_0_8 = 0 | ~ (aElement0(all_0_7_7) = 0)
% 66.82/24.43 |
% 66.82/24.43 | Instantiating formula (55) with sz10, all_9_1_9, 0 and discharging atoms aElement0(sz10) = all_9_1_9, aElement0(sz10) = 0, yields:
% 66.82/24.43 | (110) all_9_1_9 = 0
% 66.82/24.43 |
% 66.82/24.43 | Instantiating formula (55) with sz10, all_9_1_9, all_9_0_8 and discharging atoms aElement0(sz10) = all_9_1_9, yields:
% 66.82/24.43 | (111) all_9_0_8 = all_9_1_9 | ~ (aElement0(sz10) = all_9_0_8)
% 66.82/24.43 |
% 66.82/24.43 | From (110) and (86) follows:
% 66.82/24.43 | (59) aElement0(sz10) = 0
% 66.82/24.43 |
% 66.82/24.43 +-Applying beta-rule and splitting (87), into two cases.
% 66.82/24.43 |-Branch one:
% 66.82/24.43 | (113) ~ (all_9_1_9 = 0)
% 66.82/24.43 |
% 66.82/24.43 | Equations (110) can reduce 113 to:
% 66.82/24.43 | (98) $false
% 66.82/24.43 |
% 66.82/24.43 |-The branch is then unsatisfiable
% 66.82/24.43 |-Branch two:
% 66.82/24.43 | (110) all_9_1_9 = 0
% 66.82/24.43 | (116) all_9_0_8 = 0
% 66.82/24.43 |
% 66.82/24.43 | From (116) and (85) follows:
% 66.82/24.43 | (117) aElement0(all_0_7_7) = 0
% 66.82/24.43 |
% 66.82/24.43 | Instantiating formula (50) with all_21_5_19, 0, all_0_6_6, xc and discharging atoms slsdtgt0(xc) = all_0_6_6, aSet0(all_0_6_6) = 0, aElementOf0(all_21_5_19, all_0_6_6) = 0, yields:
% 66.82/24.43 | (118) ? [v0] : ? [v1] : ? [v2] : ((v2 = all_21_5_19 & v1 = 0 & sdtasdt0(xc, v0) = all_21_5_19 & aElement0(v0) = 0) | ( ~ (v0 = 0) & aElement0(xc) = v0))
% 66.82/24.43 |
% 66.82/24.43 | Instantiating formula (62) with all_21_5_19 and discharging atoms aElementOf0(all_21_5_19, all_0_6_6) = 0, yields:
% 66.82/24.43 | (119) ? [v0] : (sdtasdt0(xc, v0) = all_21_5_19 & aElement0(v0) = 0)
% 66.82/24.43 |
% 66.82/24.43 | Instantiating formula (45) with all_0_4_4, all_12_0_13, xc and discharging atoms sdtasdt0(xc, all_12_0_13) = all_0_4_4, yields:
% 66.82/24.43 | (120) ? [v0] : ? [v1] : ? [v2] : (sdtasdt0(all_12_0_13, xc) = v2 & aElement0(all_12_0_13) = v1 & aElement0(xc) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_0_4_4))
% 66.82/24.43 |
% 66.82/24.43 | Instantiating formula (45) with all_0_4_4, all_11_2_12, xc and discharging atoms sdtasdt0(xc, all_11_2_12) = all_0_4_4, yields:
% 66.82/24.43 | (121) ? [v0] : ? [v1] : ? [v2] : (sdtasdt0(all_11_2_12, xc) = v2 & aElement0(all_11_2_12) = v1 & aElement0(xc) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_0_4_4))
% 66.82/24.43 |
% 66.82/24.43 | Instantiating (121) with all_40_0_20, all_40_1_21, all_40_2_22 yields:
% 66.82/24.43 | (122) sdtasdt0(all_11_2_12, xc) = all_40_0_20 & aElement0(all_11_2_12) = all_40_1_21 & aElement0(xc) = all_40_2_22 & ( ~ (all_40_1_21 = 0) | ~ (all_40_2_22 = 0) | all_40_0_20 = all_0_4_4)
% 66.82/24.43 |
% 66.82/24.43 | Applying alpha-rule on (122) yields:
% 66.82/24.43 | (123) sdtasdt0(all_11_2_12, xc) = all_40_0_20
% 66.82/24.43 | (124) aElement0(all_11_2_12) = all_40_1_21
% 66.82/24.43 | (125) aElement0(xc) = all_40_2_22
% 66.82/24.43 | (126) ~ (all_40_1_21 = 0) | ~ (all_40_2_22 = 0) | all_40_0_20 = all_0_4_4
% 66.82/24.43 |
% 66.82/24.43 | Instantiating (118) with all_42_0_23, all_42_1_24, all_42_2_25 yields:
% 66.82/24.43 | (127) (all_42_0_23 = all_21_5_19 & all_42_1_24 = 0 & sdtasdt0(xc, all_42_2_25) = all_21_5_19 & aElement0(all_42_2_25) = 0) | ( ~ (all_42_2_25 = 0) & aElement0(xc) = all_42_2_25)
% 66.82/24.43 |
% 66.82/24.43 | Instantiating (120) with all_43_0_26, all_43_1_27, all_43_2_28 yields:
% 66.82/24.43 | (128) sdtasdt0(all_12_0_13, xc) = all_43_0_26 & aElement0(all_12_0_13) = all_43_1_27 & aElement0(xc) = all_43_2_28 & ( ~ (all_43_1_27 = 0) | ~ (all_43_2_28 = 0) | all_43_0_26 = all_0_4_4)
% 66.82/24.43 |
% 66.82/24.43 | Applying alpha-rule on (128) yields:
% 66.82/24.43 | (129) sdtasdt0(all_12_0_13, xc) = all_43_0_26
% 66.82/24.44 | (130) aElement0(all_12_0_13) = all_43_1_27
% 66.82/24.44 | (131) aElement0(xc) = all_43_2_28
% 66.82/24.44 | (132) ~ (all_43_1_27 = 0) | ~ (all_43_2_28 = 0) | all_43_0_26 = all_0_4_4
% 66.82/24.44 |
% 66.82/24.44 | Instantiating (119) with all_45_0_29 yields:
% 66.82/24.44 | (133) sdtasdt0(xc, all_45_0_29) = all_21_5_19 & aElement0(all_45_0_29) = 0
% 66.82/24.44 |
% 66.82/24.44 | Applying alpha-rule on (133) yields:
% 66.82/24.44 | (134) sdtasdt0(xc, all_45_0_29) = all_21_5_19
% 66.82/24.44 | (135) aElement0(all_45_0_29) = 0
% 66.82/24.44 |
% 66.82/24.44 | Instantiating formula (55) with all_12_0_13, all_43_1_27, 0 and discharging atoms aElement0(all_12_0_13) = all_43_1_27, aElement0(all_12_0_13) = 0, yields:
% 66.82/24.44 | (136) all_43_1_27 = 0
% 66.82/24.44 |
% 66.82/24.44 | Instantiating formula (55) with all_11_2_12, all_43_1_27, 0 and discharging atoms aElement0(all_11_2_12) = 0, yields:
% 66.82/24.44 | (137) all_43_1_27 = 0 | ~ (aElement0(all_11_2_12) = all_43_1_27)
% 66.82/24.44 |
% 66.82/24.44 | Instantiating formula (55) with all_0_4_4, all_43_1_27, 0 and discharging atoms aElement0(all_0_4_4) = 0, yields:
% 66.82/24.44 | (138) all_43_1_27 = 0 | ~ (aElement0(all_0_4_4) = all_43_1_27)
% 66.82/24.44 |
% 66.82/24.44 | Instantiating formula (55) with all_0_7_7, all_43_1_27, 0 and discharging atoms aElement0(all_0_7_7) = 0, yields:
% 66.82/24.44 | (139) all_43_1_27 = 0 | ~ (aElement0(all_0_7_7) = all_43_1_27)
% 66.82/24.44 |
% 66.82/24.44 | Instantiating formula (55) with xc, all_43_1_27, 0 and discharging atoms aElement0(xc) = 0, yields:
% 66.82/24.44 | (140) all_43_1_27 = 0 | ~ (aElement0(xc) = all_43_1_27)
% 66.82/24.44 |
% 66.82/24.44 | Instantiating formula (55) with sz10, all_43_1_27, 0 and discharging atoms aElement0(sz10) = 0, yields:
% 66.82/24.44 | (141) all_43_1_27 = 0 | ~ (aElement0(sz10) = all_43_1_27)
% 66.82/24.44 |
% 66.82/24.44 | Instantiating formula (55) with all_11_2_12, all_40_1_21, 0 and discharging atoms aElement0(all_11_2_12) = all_40_1_21, aElement0(all_11_2_12) = 0, yields:
% 66.82/24.44 | (142) all_40_1_21 = 0
% 66.82/24.44 |
% 66.82/24.44 | Instantiating formula (55) with sz10, all_40_1_21, 0 and discharging atoms aElement0(sz10) = 0, yields:
% 66.82/24.44 | (143) all_40_1_21 = 0 | ~ (aElement0(sz10) = all_40_1_21)
% 66.82/24.44 |
% 66.82/24.44 | Instantiating formula (55) with all_11_2_12, all_40_1_21, all_43_1_27 and discharging atoms aElement0(all_11_2_12) = all_40_1_21, yields:
% 66.82/24.44 | (144) all_43_1_27 = all_40_1_21 | ~ (aElement0(all_11_2_12) = all_43_1_27)
% 66.82/24.44 |
% 66.82/24.44 | Instantiating formula (55) with xc, all_43_2_28, 0 and discharging atoms aElement0(xc) = all_43_2_28, aElement0(xc) = 0, yields:
% 66.82/24.44 | (145) all_43_2_28 = 0
% 66.82/24.44 |
% 66.82/24.44 | Instantiating formula (55) with sz10, all_43_2_28, 0 and discharging atoms aElement0(sz10) = 0, yields:
% 66.82/24.44 | (146) all_43_2_28 = 0 | ~ (aElement0(sz10) = all_43_2_28)
% 66.82/24.44 |
% 66.82/24.44 | Instantiating formula (55) with xc, all_43_2_28, all_43_1_27 and discharging atoms aElement0(xc) = all_43_2_28, yields:
% 66.82/24.44 | (147) all_43_1_27 = all_43_2_28 | ~ (aElement0(xc) = all_43_1_27)
% 66.82/24.44 |
% 66.82/24.44 | Instantiating formula (55) with xc, all_40_2_22, all_43_1_27 and discharging atoms aElement0(xc) = all_40_2_22, yields:
% 66.82/24.44 | (148) all_43_1_27 = all_40_2_22 | ~ (aElement0(xc) = all_43_1_27)
% 66.82/24.44 |
% 66.82/24.44 | Instantiating formula (55) with xc, all_40_2_22, all_40_1_21 and discharging atoms aElement0(xc) = all_40_2_22, yields:
% 66.82/24.44 | (149) all_40_1_21 = all_40_2_22 | ~ (aElement0(xc) = all_40_1_21)
% 66.82/24.44 |
% 66.82/24.44 | Instantiating formula (55) with xc, all_40_2_22, all_43_2_28 and discharging atoms aElement0(xc) = all_43_2_28, aElement0(xc) = all_40_2_22, yields:
% 66.82/24.44 | (150) all_43_2_28 = all_40_2_22
% 66.82/24.44 |
% 66.82/24.44 | Combining equations (150,145) yields a new equation:
% 66.82/24.44 | (151) all_40_2_22 = 0
% 66.82/24.44 |
% 66.82/24.44 | Simplifying 151 yields:
% 66.82/24.44 | (152) all_40_2_22 = 0
% 66.82/24.44 |
% 66.82/24.44 | From (136) and (130) follows:
% 66.82/24.44 | (91) aElement0(all_12_0_13) = 0
% 66.82/24.44 |
% 66.82/24.44 | From (142) and (124) follows:
% 66.82/24.44 | (96) aElement0(all_11_2_12) = 0
% 66.82/24.44 |
% 66.82/24.44 | From (152) and (125) follows:
% 66.82/24.44 | (30) aElement0(xc) = 0
% 66.82/24.44 |
% 66.82/24.44 +-Applying beta-rule and splitting (126), into two cases.
% 66.82/24.44 |-Branch one:
% 66.82/24.44 | (156) ~ (all_40_1_21 = 0)
% 66.82/24.44 |
% 66.82/24.44 | Equations (142) can reduce 156 to:
% 66.82/24.44 | (98) $false
% 66.82/24.44 |
% 66.82/24.44 |-The branch is then unsatisfiable
% 66.82/24.44 |-Branch two:
% 66.82/24.44 | (142) all_40_1_21 = 0
% 66.82/24.44 | (159) ~ (all_40_2_22 = 0) | all_40_0_20 = all_0_4_4
% 66.82/24.44 |
% 66.82/24.44 +-Applying beta-rule and splitting (127), into two cases.
% 66.82/24.44 |-Branch one:
% 66.82/24.44 | (160) all_42_0_23 = all_21_5_19 & all_42_1_24 = 0 & sdtasdt0(xc, all_42_2_25) = all_21_5_19 & aElement0(all_42_2_25) = 0
% 66.82/24.44 |
% 66.82/24.44 | Applying alpha-rule on (160) yields:
% 66.82/24.44 | (161) all_42_0_23 = all_21_5_19
% 66.82/24.44 | (162) all_42_1_24 = 0
% 66.82/24.44 | (163) sdtasdt0(xc, all_42_2_25) = all_21_5_19
% 66.82/24.44 | (164) aElement0(all_42_2_25) = 0
% 66.82/24.44 |
% 66.82/24.44 +-Applying beta-rule and splitting (159), into two cases.
% 66.82/24.44 |-Branch one:
% 66.82/24.44 | (165) ~ (all_40_2_22 = 0)
% 66.82/24.44 |
% 66.82/24.44 | Equations (152) can reduce 165 to:
% 66.82/24.44 | (98) $false
% 66.82/24.44 |
% 66.82/24.44 |-The branch is then unsatisfiable
% 66.82/24.44 |-Branch two:
% 66.82/24.44 | (152) all_40_2_22 = 0
% 66.82/24.44 | (168) all_40_0_20 = all_0_4_4
% 66.82/24.44 |
% 66.82/24.44 | From (168) and (123) follows:
% 66.82/24.44 | (169) sdtasdt0(all_11_2_12, xc) = all_0_4_4
% 66.82/24.44 |
% 66.82/24.44 +-Applying beta-rule and splitting (132), into two cases.
% 66.82/24.44 |-Branch one:
% 66.82/24.45 | (170) ~ (all_43_1_27 = 0)
% 66.82/24.45 |
% 66.82/24.45 | Equations (136) can reduce 170 to:
% 66.82/24.45 | (98) $false
% 66.82/24.45 |
% 66.82/24.45 |-The branch is then unsatisfiable
% 66.82/24.45 |-Branch two:
% 66.82/24.45 | (136) all_43_1_27 = 0
% 66.82/24.45 | (173) ~ (all_43_2_28 = 0) | all_43_0_26 = all_0_4_4
% 66.82/24.45 |
% 66.82/24.45 +-Applying beta-rule and splitting (173), into two cases.
% 66.82/24.45 |-Branch one:
% 66.82/24.45 | (174) ~ (all_43_2_28 = 0)
% 66.82/24.45 |
% 66.82/24.45 | Equations (145) can reduce 174 to:
% 66.82/24.45 | (98) $false
% 66.82/24.45 |
% 66.82/24.45 |-The branch is then unsatisfiable
% 66.82/24.45 |-Branch two:
% 66.82/24.45 | (145) all_43_2_28 = 0
% 66.82/24.45 | (177) all_43_0_26 = all_0_4_4
% 66.82/24.45 |
% 66.82/24.45 | From (177) and (129) follows:
% 66.82/24.45 | (178) sdtasdt0(all_12_0_13, xc) = all_0_4_4
% 66.82/24.45 |
% 66.82/24.45 | Instantiating formula (45) with all_21_5_19, all_45_0_29, xc and discharging atoms sdtasdt0(xc, all_45_0_29) = all_21_5_19, yields:
% 66.82/24.45 | (179) ? [v0] : ? [v1] : ? [v2] : (sdtasdt0(all_45_0_29, xc) = v2 & aElement0(all_45_0_29) = v1 & aElement0(xc) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_21_5_19))
% 66.82/24.45 |
% 66.82/24.45 | Instantiating formula (45) with all_21_5_19, all_42_2_25, xc and discharging atoms sdtasdt0(xc, all_42_2_25) = all_21_5_19, yields:
% 66.82/24.45 | (180) ? [v0] : ? [v1] : ? [v2] : (sdtasdt0(all_42_2_25, xc) = v2 & aElement0(all_42_2_25) = v1 & aElement0(xc) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_21_5_19))
% 66.82/24.45 |
% 66.82/24.45 | Instantiating (180) with all_76_0_30, all_76_1_31, all_76_2_32 yields:
% 66.82/24.45 | (181) sdtasdt0(all_42_2_25, xc) = all_76_0_30 & aElement0(all_42_2_25) = all_76_1_31 & aElement0(xc) = all_76_2_32 & ( ~ (all_76_1_31 = 0) | ~ (all_76_2_32 = 0) | all_76_0_30 = all_21_5_19)
% 66.82/24.45 |
% 66.82/24.45 | Applying alpha-rule on (181) yields:
% 66.82/24.45 | (182) sdtasdt0(all_42_2_25, xc) = all_76_0_30
% 66.82/24.45 | (183) aElement0(all_42_2_25) = all_76_1_31
% 67.11/24.45 | (184) aElement0(xc) = all_76_2_32
% 67.11/24.45 | (185) ~ (all_76_1_31 = 0) | ~ (all_76_2_32 = 0) | all_76_0_30 = all_21_5_19
% 67.11/24.45 |
% 67.11/24.45 | Instantiating (179) with all_78_0_33, all_78_1_34, all_78_2_35 yields:
% 67.11/24.45 | (186) sdtasdt0(all_45_0_29, xc) = all_78_0_33 & aElement0(all_45_0_29) = all_78_1_34 & aElement0(xc) = all_78_2_35 & ( ~ (all_78_1_34 = 0) | ~ (all_78_2_35 = 0) | all_78_0_33 = all_21_5_19)
% 67.11/24.45 |
% 67.11/24.45 | Applying alpha-rule on (186) yields:
% 67.11/24.45 | (187) sdtasdt0(all_45_0_29, xc) = all_78_0_33
% 67.11/24.45 | (188) aElement0(all_45_0_29) = all_78_1_34
% 67.11/24.45 | (189) aElement0(xc) = all_78_2_35
% 67.11/24.45 | (190) ~ (all_78_1_34 = 0) | ~ (all_78_2_35 = 0) | all_78_0_33 = all_21_5_19
% 67.11/24.45 |
% 67.11/24.45 | Instantiating formula (55) with xc, all_78_2_35, 0 and discharging atoms aElement0(xc) = all_78_2_35, aElement0(xc) = 0, yields:
% 67.11/24.45 | (191) all_78_2_35 = 0
% 67.11/24.45 |
% 67.11/24.45 | Instantiating formula (55) with xc, all_76_2_32, all_78_2_35 and discharging atoms aElement0(xc) = all_78_2_35, aElement0(xc) = all_76_2_32, yields:
% 67.11/24.45 | (192) all_78_2_35 = all_76_2_32
% 67.11/24.45 |
% 67.11/24.45 | Combining equations (192,191) yields a new equation:
% 67.11/24.45 | (193) all_76_2_32 = 0
% 67.11/24.45 |
% 67.11/24.45 | Simplifying 193 yields:
% 67.11/24.45 | (194) all_76_2_32 = 0
% 67.11/24.45 |
% 67.11/24.45 | From (194) and (184) follows:
% 67.11/24.45 | (30) aElement0(xc) = 0
% 67.11/24.45 |
% 67.11/24.45 +-Applying beta-rule and splitting (25), into two cases.
% 67.11/24.45 |-Branch one:
% 67.11/24.45 | (196) all_0_2_2 = 0 & ~ (all_0_0_0 = 0) & aElementOf0(all_0_1_1, all_0_6_6) = all_0_0_0 & aElementOf0(all_0_3_3, all_0_6_6) = 0 & sdtpldt0(all_0_4_4, all_0_3_3) = all_0_1_1
% 67.11/24.45 |
% 67.11/24.45 | Applying alpha-rule on (196) yields:
% 67.11/24.45 | (197) sdtpldt0(all_0_4_4, all_0_3_3) = all_0_1_1
% 67.11/24.45 | (198) ~ (all_0_0_0 = 0)
% 67.11/24.45 | (199) all_0_2_2 = 0
% 67.11/24.45 | (200) aElementOf0(all_0_1_1, all_0_6_6) = all_0_0_0
% 67.11/24.45 | (201) aElementOf0(all_0_3_3, all_0_6_6) = 0
% 67.11/24.45 |
% 67.11/24.45 | Instantiating formula (50) with all_0_3_3, 0, all_0_6_6, xc and discharging atoms slsdtgt0(xc) = all_0_6_6, aSet0(all_0_6_6) = 0, aElementOf0(all_0_3_3, all_0_6_6) = 0, yields:
% 67.11/24.45 | (202) ? [v0] : ? [v1] : ? [v2] : ((v2 = all_0_3_3 & v1 = 0 & sdtasdt0(xc, v0) = all_0_3_3 & aElement0(v0) = 0) | ( ~ (v0 = 0) & aElement0(xc) = v0))
% 67.11/24.45 |
% 67.11/24.45 | Instantiating formula (60) with all_0_3_3, all_0_6_6 and discharging atoms aSet0(all_0_6_6) = 0, aElementOf0(all_0_3_3, all_0_6_6) = 0, yields:
% 67.11/24.45 | (203) aElement0(all_0_3_3) = 0
% 67.11/24.45 |
% 67.11/24.45 | Instantiating formula (62) with all_0_3_3 and discharging atoms aElementOf0(all_0_3_3, all_0_6_6) = 0, yields:
% 67.11/24.45 | (204) ? [v0] : (sdtasdt0(xc, v0) = all_0_3_3 & aElement0(v0) = 0)
% 67.11/24.45 |
% 67.11/24.45 | Instantiating formula (8) with all_0_1_1, all_0_3_3, all_0_4_4 and discharging atoms sdtpldt0(all_0_4_4, all_0_3_3) = all_0_1_1, yields:
% 67.11/24.45 | (205) ? [v0] : ? [v1] : ? [v2] : (sdtpldt0(all_0_3_3, all_0_4_4) = v2 & aElement0(all_0_3_3) = v1 & aElement0(all_0_4_4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_0_1_1))
% 67.11/24.45 |
% 67.11/24.45 | Instantiating (204) with all_113_0_36 yields:
% 67.11/24.45 | (206) sdtasdt0(xc, all_113_0_36) = all_0_3_3 & aElement0(all_113_0_36) = 0
% 67.11/24.45 |
% 67.11/24.46 | Applying alpha-rule on (206) yields:
% 67.11/24.46 | (207) sdtasdt0(xc, all_113_0_36) = all_0_3_3
% 67.11/24.46 | (208) aElement0(all_113_0_36) = 0
% 67.11/24.46 |
% 67.11/24.46 | Instantiating (205) with all_117_0_40, all_117_1_41, all_117_2_42 yields:
% 67.11/24.46 | (209) sdtpldt0(all_0_3_3, all_0_4_4) = all_117_0_40 & aElement0(all_0_3_3) = all_117_1_41 & aElement0(all_0_4_4) = all_117_2_42 & ( ~ (all_117_1_41 = 0) | ~ (all_117_2_42 = 0) | all_117_0_40 = all_0_1_1)
% 67.11/24.46 |
% 67.11/24.46 | Applying alpha-rule on (209) yields:
% 67.11/24.46 | (210) sdtpldt0(all_0_3_3, all_0_4_4) = all_117_0_40
% 67.11/24.46 | (211) aElement0(all_0_3_3) = all_117_1_41
% 67.11/24.46 | (212) aElement0(all_0_4_4) = all_117_2_42
% 67.11/24.46 | (213) ~ (all_117_1_41 = 0) | ~ (all_117_2_42 = 0) | all_117_0_40 = all_0_1_1
% 67.11/24.46 |
% 67.11/24.46 | Instantiating (202) with all_119_0_43, all_119_1_44, all_119_2_45 yields:
% 67.11/24.46 | (214) (all_119_0_43 = all_0_3_3 & all_119_1_44 = 0 & sdtasdt0(xc, all_119_2_45) = all_0_3_3 & aElement0(all_119_2_45) = 0) | ( ~ (all_119_2_45 = 0) & aElement0(xc) = all_119_2_45)
% 67.11/24.46 |
% 67.11/24.46 +-Applying beta-rule and splitting (214), into two cases.
% 67.11/24.46 |-Branch one:
% 67.11/24.46 | (215) all_119_0_43 = all_0_3_3 & all_119_1_44 = 0 & sdtasdt0(xc, all_119_2_45) = all_0_3_3 & aElement0(all_119_2_45) = 0
% 67.11/24.46 |
% 67.11/24.46 | Applying alpha-rule on (215) yields:
% 67.11/24.46 | (216) all_119_0_43 = all_0_3_3
% 67.11/24.46 | (217) all_119_1_44 = 0
% 67.11/24.46 | (218) sdtasdt0(xc, all_119_2_45) = all_0_3_3
% 67.11/24.46 | (219) aElement0(all_119_2_45) = 0
% 67.11/24.46 |
% 67.11/24.46 | Instantiating formula (55) with all_0_3_3, all_117_1_41, 0 and discharging atoms aElement0(all_0_3_3) = all_117_1_41, aElement0(all_0_3_3) = 0, yields:
% 67.11/24.46 | (220) all_117_1_41 = 0
% 67.11/24.46 |
% 67.11/24.46 | Instantiating formula (55) with all_0_4_4, all_117_2_42, 0 and discharging atoms aElement0(all_0_4_4) = all_117_2_42, aElement0(all_0_4_4) = 0, yields:
% 67.11/24.46 | (221) all_117_2_42 = 0
% 67.11/24.46 |
% 67.11/24.46 +-Applying beta-rule and splitting (213), into two cases.
% 67.11/24.46 |-Branch one:
% 67.11/24.46 | (222) ~ (all_117_1_41 = 0)
% 67.11/24.46 |
% 67.11/24.46 | Equations (220) can reduce 222 to:
% 67.11/24.46 | (98) $false
% 67.11/24.46 |
% 67.11/24.46 |-The branch is then unsatisfiable
% 67.11/24.46 |-Branch two:
% 67.11/24.46 | (220) all_117_1_41 = 0
% 67.11/24.46 | (225) ~ (all_117_2_42 = 0) | all_117_0_40 = all_0_1_1
% 67.11/24.46 |
% 67.11/24.46 +-Applying beta-rule and splitting (225), into two cases.
% 67.11/24.46 |-Branch one:
% 67.11/24.46 | (226) ~ (all_117_2_42 = 0)
% 67.11/24.46 |
% 67.11/24.46 | Equations (221) can reduce 226 to:
% 67.11/24.46 | (98) $false
% 67.11/24.46 |
% 67.11/24.46 |-The branch is then unsatisfiable
% 67.11/24.46 |-Branch two:
% 67.11/24.46 | (221) all_117_2_42 = 0
% 67.11/24.46 | (229) all_117_0_40 = all_0_1_1
% 67.11/24.46 |
% 67.11/24.46 | From (229) and (210) follows:
% 67.11/24.46 | (230) sdtpldt0(all_0_3_3, all_0_4_4) = all_0_1_1
% 67.11/24.46 |
% 67.16/24.46 | Instantiating formula (11) with all_0_1_1, all_0_3_3, all_0_4_4, all_119_2_45, all_12_0_13, xc and discharging atoms sdtasdt0(xc, all_119_2_45) = all_0_3_3, sdtasdt0(xc, all_12_0_13) = all_0_4_4, sdtpldt0(all_0_4_4, all_0_3_3) = all_0_1_1, yields:
% 67.16/24.46 | (231) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (sdtasdt0(v3, xc) = v5 & sdtasdt0(all_119_2_45, xc) = v7 & sdtasdt0(all_12_0_13, xc) = v6 & sdtasdt0(xc, v3) = v4 & sdtpldt0(v6, v7) = v8 & sdtpldt0(all_12_0_13, all_119_2_45) = v3 & aElement0(all_119_2_45) = v2 & aElement0(all_12_0_13) = v1 & aElement0(xc) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v8 = v5 & v4 = all_0_1_1)))
% 67.16/24.46 |
% 67.16/24.46 | Instantiating formula (11) with all_0_1_1, all_0_3_3, all_0_4_4, all_119_2_45, all_11_2_12, xc and discharging atoms sdtasdt0(xc, all_119_2_45) = all_0_3_3, sdtasdt0(xc, all_11_2_12) = all_0_4_4, sdtpldt0(all_0_4_4, all_0_3_3) = all_0_1_1, yields:
% 67.16/24.46 | (232) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (sdtasdt0(v3, xc) = v5 & sdtasdt0(all_119_2_45, xc) = v7 & sdtasdt0(all_11_2_12, xc) = v6 & sdtasdt0(xc, v3) = v4 & sdtpldt0(v6, v7) = v8 & sdtpldt0(all_11_2_12, all_119_2_45) = v3 & aElement0(all_119_2_45) = v2 & aElement0(all_11_2_12) = v1 & aElement0(xc) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v8 = v5 & v4 = all_0_1_1)))
% 67.16/24.46 |
% 67.16/24.46 | Instantiating formula (45) with all_0_3_3, all_119_2_45, xc and discharging atoms sdtasdt0(xc, all_119_2_45) = all_0_3_3, yields:
% 67.16/24.46 | (233) ? [v0] : ? [v1] : ? [v2] : (sdtasdt0(all_119_2_45, xc) = v2 & aElement0(all_119_2_45) = v1 & aElement0(xc) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_0_3_3))
% 67.16/24.46 |
% 67.16/24.46 | Instantiating formula (11) with all_0_1_1, all_0_3_3, all_0_4_4, all_113_0_36, all_12_0_13, xc and discharging atoms sdtasdt0(xc, all_113_0_36) = all_0_3_3, sdtasdt0(xc, all_12_0_13) = all_0_4_4, sdtpldt0(all_0_4_4, all_0_3_3) = all_0_1_1, yields:
% 67.16/24.46 | (234) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (sdtasdt0(v3, xc) = v5 & sdtasdt0(all_113_0_36, xc) = v7 & sdtasdt0(all_12_0_13, xc) = v6 & sdtasdt0(xc, v3) = v4 & sdtpldt0(v6, v7) = v8 & sdtpldt0(all_12_0_13, all_113_0_36) = v3 & aElement0(all_113_0_36) = v2 & aElement0(all_12_0_13) = v1 & aElement0(xc) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v8 = v5 & v4 = all_0_1_1)))
% 67.16/24.46 |
% 67.16/24.46 | Instantiating formula (11) with all_0_1_1, all_0_3_3, all_0_4_4, all_113_0_36, all_11_2_12, xc and discharging atoms sdtasdt0(xc, all_113_0_36) = all_0_3_3, sdtasdt0(xc, all_11_2_12) = all_0_4_4, sdtpldt0(all_0_4_4, all_0_3_3) = all_0_1_1, yields:
% 67.16/24.46 | (235) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (sdtasdt0(v3, xc) = v5 & sdtasdt0(all_113_0_36, xc) = v7 & sdtasdt0(all_11_2_12, xc) = v6 & sdtasdt0(xc, v3) = v4 & sdtpldt0(v6, v7) = v8 & sdtpldt0(all_11_2_12, all_113_0_36) = v3 & aElement0(all_113_0_36) = v2 & aElement0(all_11_2_12) = v1 & aElement0(xc) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v8 = v5 & v4 = all_0_1_1)))
% 67.16/24.46 |
% 67.16/24.46 | Instantiating formula (45) with all_0_3_3, all_113_0_36, xc and discharging atoms sdtasdt0(xc, all_113_0_36) = all_0_3_3, yields:
% 67.16/24.46 | (236) ? [v0] : ? [v1] : ? [v2] : (sdtasdt0(all_113_0_36, xc) = v2 & aElement0(all_113_0_36) = v1 & aElement0(xc) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_0_3_3))
% 67.16/24.46 |
% 67.16/24.46 | Instantiating formula (11) with all_0_1_1, all_0_4_4, all_0_3_3, all_12_0_13, all_119_2_45, xc and discharging atoms sdtasdt0(xc, all_119_2_45) = all_0_3_3, sdtasdt0(xc, all_12_0_13) = all_0_4_4, sdtpldt0(all_0_3_3, all_0_4_4) = all_0_1_1, yields:
% 67.16/24.46 | (237) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (sdtasdt0(v3, xc) = v5 & sdtasdt0(all_119_2_45, xc) = v6 & sdtasdt0(all_12_0_13, xc) = v7 & sdtasdt0(xc, v3) = v4 & sdtpldt0(v6, v7) = v8 & sdtpldt0(all_119_2_45, all_12_0_13) = v3 & aElement0(all_119_2_45) = v1 & aElement0(all_12_0_13) = v2 & aElement0(xc) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v8 = v5 & v4 = all_0_1_1)))
% 67.16/24.46 |
% 67.16/24.46 | Instantiating formula (11) with all_0_1_1, all_0_4_4, all_0_3_3, all_12_0_13, all_113_0_36, xc and discharging atoms sdtasdt0(xc, all_113_0_36) = all_0_3_3, sdtasdt0(xc, all_12_0_13) = all_0_4_4, sdtpldt0(all_0_3_3, all_0_4_4) = all_0_1_1, yields:
% 67.16/24.46 | (238) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (sdtasdt0(v3, xc) = v5 & sdtasdt0(all_113_0_36, xc) = v6 & sdtasdt0(all_12_0_13, xc) = v7 & sdtasdt0(xc, v3) = v4 & sdtpldt0(v6, v7) = v8 & sdtpldt0(all_113_0_36, all_12_0_13) = v3 & aElement0(all_113_0_36) = v1 & aElement0(all_12_0_13) = v2 & aElement0(xc) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v8 = v5 & v4 = all_0_1_1)))
% 67.16/24.47 |
% 67.16/24.47 | Instantiating formula (11) with all_0_1_1, all_0_4_4, all_0_3_3, all_11_2_12, all_119_2_45, xc and discharging atoms sdtasdt0(xc, all_119_2_45) = all_0_3_3, sdtasdt0(xc, all_11_2_12) = all_0_4_4, sdtpldt0(all_0_3_3, all_0_4_4) = all_0_1_1, yields:
% 67.16/24.47 | (239) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (sdtasdt0(v3, xc) = v5 & sdtasdt0(all_119_2_45, xc) = v6 & sdtasdt0(all_11_2_12, xc) = v7 & sdtasdt0(xc, v3) = v4 & sdtpldt0(v6, v7) = v8 & sdtpldt0(all_119_2_45, all_11_2_12) = v3 & aElement0(all_119_2_45) = v1 & aElement0(all_11_2_12) = v2 & aElement0(xc) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v8 = v5 & v4 = all_0_1_1)))
% 67.16/24.47 |
% 67.16/24.47 | Instantiating formula (11) with all_0_1_1, all_0_4_4, all_0_3_3, all_11_2_12, all_113_0_36, xc and discharging atoms sdtasdt0(xc, all_113_0_36) = all_0_3_3, sdtasdt0(xc, all_11_2_12) = all_0_4_4, sdtpldt0(all_0_3_3, all_0_4_4) = all_0_1_1, yields:
% 67.16/24.47 | (240) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (sdtasdt0(v3, xc) = v5 & sdtasdt0(all_113_0_36, xc) = v6 & sdtasdt0(all_11_2_12, xc) = v7 & sdtasdt0(xc, v3) = v4 & sdtpldt0(v6, v7) = v8 & sdtpldt0(all_113_0_36, all_11_2_12) = v3 & aElement0(all_113_0_36) = v1 & aElement0(all_11_2_12) = v2 & aElement0(xc) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | (v8 = v5 & v4 = all_0_1_1)))
% 67.16/24.47 |
% 67.16/24.47 | Instantiating (240) with all_157_0_46, all_157_1_47, all_157_2_48, all_157_3_49, all_157_4_50, all_157_5_51, all_157_6_52, all_157_7_53, all_157_8_54 yields:
% 67.16/24.47 | (241) sdtasdt0(all_157_5_51, xc) = all_157_3_49 & sdtasdt0(all_113_0_36, xc) = all_157_2_48 & sdtasdt0(all_11_2_12, xc) = all_157_1_47 & sdtasdt0(xc, all_157_5_51) = all_157_4_50 & sdtpldt0(all_157_2_48, all_157_1_47) = all_157_0_46 & sdtpldt0(all_113_0_36, all_11_2_12) = all_157_5_51 & aElement0(all_113_0_36) = all_157_7_53 & aElement0(all_11_2_12) = all_157_6_52 & aElement0(xc) = all_157_8_54 & ( ~ (all_157_6_52 = 0) | ~ (all_157_7_53 = 0) | ~ (all_157_8_54 = 0) | (all_157_0_46 = all_157_3_49 & all_157_4_50 = all_0_1_1))
% 67.16/24.47 |
% 67.16/24.47 | Applying alpha-rule on (241) yields:
% 67.16/24.47 | (242) ~ (all_157_6_52 = 0) | ~ (all_157_7_53 = 0) | ~ (all_157_8_54 = 0) | (all_157_0_46 = all_157_3_49 & all_157_4_50 = all_0_1_1)
% 67.16/24.47 | (243) aElement0(all_113_0_36) = all_157_7_53
% 67.16/24.47 | (244) sdtasdt0(all_157_5_51, xc) = all_157_3_49
% 67.16/24.47 | (245) sdtpldt0(all_113_0_36, all_11_2_12) = all_157_5_51
% 67.16/24.47 | (246) aElement0(xc) = all_157_8_54
% 67.16/24.47 | (247) sdtasdt0(all_11_2_12, xc) = all_157_1_47
% 67.16/24.47 | (248) aElement0(all_11_2_12) = all_157_6_52
% 67.16/24.47 | (249) sdtpldt0(all_157_2_48, all_157_1_47) = all_157_0_46
% 67.16/24.47 | (250) sdtasdt0(all_113_0_36, xc) = all_157_2_48
% 67.16/24.47 | (251) sdtasdt0(xc, all_157_5_51) = all_157_4_50
% 67.16/24.47 |
% 67.16/24.47 | Instantiating (236) with all_159_0_55, all_159_1_56, all_159_2_57 yields:
% 67.16/24.47 | (252) sdtasdt0(all_113_0_36, xc) = all_159_0_55 & aElement0(all_113_0_36) = all_159_1_56 & aElement0(xc) = all_159_2_57 & ( ~ (all_159_1_56 = 0) | ~ (all_159_2_57 = 0) | all_159_0_55 = all_0_3_3)
% 67.16/24.47 |
% 67.16/24.47 | Applying alpha-rule on (252) yields:
% 67.16/24.47 | (253) sdtasdt0(all_113_0_36, xc) = all_159_0_55
% 67.16/24.47 | (254) aElement0(all_113_0_36) = all_159_1_56
% 67.16/24.47 | (255) aElement0(xc) = all_159_2_57
% 67.16/24.47 | (256) ~ (all_159_1_56 = 0) | ~ (all_159_2_57 = 0) | all_159_0_55 = all_0_3_3
% 67.16/24.47 |
% 67.16/24.47 | Instantiating (233) with all_161_0_58, all_161_1_59, all_161_2_60 yields:
% 67.16/24.47 | (257) sdtasdt0(all_119_2_45, xc) = all_161_0_58 & aElement0(all_119_2_45) = all_161_1_59 & aElement0(xc) = all_161_2_60 & ( ~ (all_161_1_59 = 0) | ~ (all_161_2_60 = 0) | all_161_0_58 = all_0_3_3)
% 67.16/24.47 |
% 67.16/24.47 | Applying alpha-rule on (257) yields:
% 67.16/24.47 | (258) sdtasdt0(all_119_2_45, xc) = all_161_0_58
% 67.16/24.47 | (259) aElement0(all_119_2_45) = all_161_1_59
% 67.16/24.47 | (260) aElement0(xc) = all_161_2_60
% 67.16/24.47 | (261) ~ (all_161_1_59 = 0) | ~ (all_161_2_60 = 0) | all_161_0_58 = all_0_3_3
% 67.16/24.47 |
% 67.16/24.47 | Instantiating (232) with all_163_0_61, all_163_1_62, all_163_2_63, all_163_3_64, all_163_4_65, all_163_5_66, all_163_6_67, all_163_7_68, all_163_8_69 yields:
% 67.16/24.47 | (262) sdtasdt0(all_163_5_66, xc) = all_163_3_64 & sdtasdt0(all_119_2_45, xc) = all_163_1_62 & sdtasdt0(all_11_2_12, xc) = all_163_2_63 & sdtasdt0(xc, all_163_5_66) = all_163_4_65 & sdtpldt0(all_163_2_63, all_163_1_62) = all_163_0_61 & sdtpldt0(all_11_2_12, all_119_2_45) = all_163_5_66 & aElement0(all_119_2_45) = all_163_6_67 & aElement0(all_11_2_12) = all_163_7_68 & aElement0(xc) = all_163_8_69 & ( ~ (all_163_6_67 = 0) | ~ (all_163_7_68 = 0) | ~ (all_163_8_69 = 0) | (all_163_0_61 = all_163_3_64 & all_163_4_65 = all_0_1_1))
% 67.16/24.47 |
% 67.16/24.47 | Applying alpha-rule on (262) yields:
% 67.16/24.47 | (263) aElement0(xc) = all_163_8_69
% 67.16/24.47 | (264) aElement0(all_11_2_12) = all_163_7_68
% 67.16/24.47 | (265) sdtasdt0(all_163_5_66, xc) = all_163_3_64
% 67.16/24.47 | (266) aElement0(all_119_2_45) = all_163_6_67
% 67.16/24.47 | (267) ~ (all_163_6_67 = 0) | ~ (all_163_7_68 = 0) | ~ (all_163_8_69 = 0) | (all_163_0_61 = all_163_3_64 & all_163_4_65 = all_0_1_1)
% 67.16/24.47 | (268) sdtasdt0(all_11_2_12, xc) = all_163_2_63
% 67.16/24.47 | (269) sdtasdt0(xc, all_163_5_66) = all_163_4_65
% 67.16/24.47 | (270) sdtasdt0(all_119_2_45, xc) = all_163_1_62
% 67.16/24.47 | (271) sdtpldt0(all_11_2_12, all_119_2_45) = all_163_5_66
% 67.16/24.47 | (272) sdtpldt0(all_163_2_63, all_163_1_62) = all_163_0_61
% 67.16/24.47 |
% 67.16/24.47 | Instantiating (231) with all_165_0_70, all_165_1_71, all_165_2_72, all_165_3_73, all_165_4_74, all_165_5_75, all_165_6_76, all_165_7_77, all_165_8_78 yields:
% 67.16/24.47 | (273) sdtasdt0(all_165_5_75, xc) = all_165_3_73 & sdtasdt0(all_119_2_45, xc) = all_165_1_71 & sdtasdt0(all_12_0_13, xc) = all_165_2_72 & sdtasdt0(xc, all_165_5_75) = all_165_4_74 & sdtpldt0(all_165_2_72, all_165_1_71) = all_165_0_70 & sdtpldt0(all_12_0_13, all_119_2_45) = all_165_5_75 & aElement0(all_119_2_45) = all_165_6_76 & aElement0(all_12_0_13) = all_165_7_77 & aElement0(xc) = all_165_8_78 & ( ~ (all_165_6_76 = 0) | ~ (all_165_7_77 = 0) | ~ (all_165_8_78 = 0) | (all_165_0_70 = all_165_3_73 & all_165_4_74 = all_0_1_1))
% 67.16/24.47 |
% 67.16/24.47 | Applying alpha-rule on (273) yields:
% 67.16/24.47 | (274) aElement0(xc) = all_165_8_78
% 67.16/24.47 | (275) ~ (all_165_6_76 = 0) | ~ (all_165_7_77 = 0) | ~ (all_165_8_78 = 0) | (all_165_0_70 = all_165_3_73 & all_165_4_74 = all_0_1_1)
% 67.16/24.47 | (276) aElement0(all_12_0_13) = all_165_7_77
% 67.16/24.47 | (277) sdtasdt0(all_119_2_45, xc) = all_165_1_71
% 67.16/24.47 | (278) aElement0(all_119_2_45) = all_165_6_76
% 67.16/24.47 | (279) sdtasdt0(all_165_5_75, xc) = all_165_3_73
% 67.16/24.48 | (280) sdtpldt0(all_165_2_72, all_165_1_71) = all_165_0_70
% 67.16/24.48 | (281) sdtpldt0(all_12_0_13, all_119_2_45) = all_165_5_75
% 67.16/24.48 | (282) sdtasdt0(all_12_0_13, xc) = all_165_2_72
% 67.16/24.48 | (283) sdtasdt0(xc, all_165_5_75) = all_165_4_74
% 67.16/24.48 |
% 67.16/24.48 | Instantiating (235) with all_167_0_79, all_167_1_80, all_167_2_81, all_167_3_82, all_167_4_83, all_167_5_84, all_167_6_85, all_167_7_86, all_167_8_87 yields:
% 67.16/24.48 | (284) sdtasdt0(all_167_5_84, xc) = all_167_3_82 & sdtasdt0(all_113_0_36, xc) = all_167_1_80 & sdtasdt0(all_11_2_12, xc) = all_167_2_81 & sdtasdt0(xc, all_167_5_84) = all_167_4_83 & sdtpldt0(all_167_2_81, all_167_1_80) = all_167_0_79 & sdtpldt0(all_11_2_12, all_113_0_36) = all_167_5_84 & aElement0(all_113_0_36) = all_167_6_85 & aElement0(all_11_2_12) = all_167_7_86 & aElement0(xc) = all_167_8_87 & ( ~ (all_167_6_85 = 0) | ~ (all_167_7_86 = 0) | ~ (all_167_8_87 = 0) | (all_167_0_79 = all_167_3_82 & all_167_4_83 = all_0_1_1))
% 67.16/24.48 |
% 67.16/24.48 | Applying alpha-rule on (284) yields:
% 67.16/24.48 | (285) ~ (all_167_6_85 = 0) | ~ (all_167_7_86 = 0) | ~ (all_167_8_87 = 0) | (all_167_0_79 = all_167_3_82 & all_167_4_83 = all_0_1_1)
% 67.16/24.48 | (286) sdtpldt0(all_11_2_12, all_113_0_36) = all_167_5_84
% 67.16/24.48 | (287) sdtasdt0(all_11_2_12, xc) = all_167_2_81
% 67.16/24.48 | (288) sdtasdt0(xc, all_167_5_84) = all_167_4_83
% 67.16/24.48 | (289) aElement0(all_11_2_12) = all_167_7_86
% 67.16/24.48 | (290) sdtasdt0(all_167_5_84, xc) = all_167_3_82
% 67.16/24.48 | (291) aElement0(xc) = all_167_8_87
% 67.16/24.48 | (292) sdtpldt0(all_167_2_81, all_167_1_80) = all_167_0_79
% 67.16/24.48 | (293) sdtasdt0(all_113_0_36, xc) = all_167_1_80
% 67.16/24.48 | (294) aElement0(all_113_0_36) = all_167_6_85
% 67.16/24.48 |
% 67.16/24.48 | Instantiating (234) with all_169_0_88, all_169_1_89, all_169_2_90, all_169_3_91, all_169_4_92, all_169_5_93, all_169_6_94, all_169_7_95, all_169_8_96 yields:
% 67.16/24.48 | (295) sdtasdt0(all_169_5_93, xc) = all_169_3_91 & sdtasdt0(all_113_0_36, xc) = all_169_1_89 & sdtasdt0(all_12_0_13, xc) = all_169_2_90 & sdtasdt0(xc, all_169_5_93) = all_169_4_92 & sdtpldt0(all_169_2_90, all_169_1_89) = all_169_0_88 & sdtpldt0(all_12_0_13, all_113_0_36) = all_169_5_93 & aElement0(all_113_0_36) = all_169_6_94 & aElement0(all_12_0_13) = all_169_7_95 & aElement0(xc) = all_169_8_96 & ( ~ (all_169_6_94 = 0) | ~ (all_169_7_95 = 0) | ~ (all_169_8_96 = 0) | (all_169_0_88 = all_169_3_91 & all_169_4_92 = all_0_1_1))
% 67.16/24.48 |
% 67.16/24.48 | Applying alpha-rule on (295) yields:
% 67.16/24.48 | (296) aElement0(all_113_0_36) = all_169_6_94
% 67.16/24.48 | (297) sdtpldt0(all_169_2_90, all_169_1_89) = all_169_0_88
% 67.16/24.48 | (298) sdtasdt0(all_113_0_36, xc) = all_169_1_89
% 67.16/24.48 | (299) sdtasdt0(xc, all_169_5_93) = all_169_4_92
% 67.16/24.48 | (300) sdtasdt0(all_12_0_13, xc) = all_169_2_90
% 67.16/24.48 | (301) aElement0(xc) = all_169_8_96
% 67.16/24.48 | (302) sdtasdt0(all_169_5_93, xc) = all_169_3_91
% 67.16/24.48 | (303) sdtpldt0(all_12_0_13, all_113_0_36) = all_169_5_93
% 67.16/24.48 | (304) aElement0(all_12_0_13) = all_169_7_95
% 67.16/24.48 | (305) ~ (all_169_6_94 = 0) | ~ (all_169_7_95 = 0) | ~ (all_169_8_96 = 0) | (all_169_0_88 = all_169_3_91 & all_169_4_92 = all_0_1_1)
% 67.16/24.48 |
% 67.16/24.48 | Instantiating (239) with all_171_0_97, all_171_1_98, all_171_2_99, all_171_3_100, all_171_4_101, all_171_5_102, all_171_6_103, all_171_7_104, all_171_8_105 yields:
% 67.16/24.48 | (306) sdtasdt0(all_171_5_102, xc) = all_171_3_100 & sdtasdt0(all_119_2_45, xc) = all_171_2_99 & sdtasdt0(all_11_2_12, xc) = all_171_1_98 & sdtasdt0(xc, all_171_5_102) = all_171_4_101 & sdtpldt0(all_171_2_99, all_171_1_98) = all_171_0_97 & sdtpldt0(all_119_2_45, all_11_2_12) = all_171_5_102 & aElement0(all_119_2_45) = all_171_7_104 & aElement0(all_11_2_12) = all_171_6_103 & aElement0(xc) = all_171_8_105 & ( ~ (all_171_6_103 = 0) | ~ (all_171_7_104 = 0) | ~ (all_171_8_105 = 0) | (all_171_0_97 = all_171_3_100 & all_171_4_101 = all_0_1_1))
% 67.16/24.48 |
% 67.16/24.48 | Applying alpha-rule on (306) yields:
% 67.16/24.48 | (307) sdtasdt0(xc, all_171_5_102) = all_171_4_101
% 67.16/24.48 | (308) aElement0(all_11_2_12) = all_171_6_103
% 67.16/24.48 | (309) sdtasdt0(all_119_2_45, xc) = all_171_2_99
% 67.16/24.48 | (310) sdtasdt0(all_11_2_12, xc) = all_171_1_98
% 67.16/24.48 | (311) sdtpldt0(all_171_2_99, all_171_1_98) = all_171_0_97
% 67.16/24.48 | (312) sdtasdt0(all_171_5_102, xc) = all_171_3_100
% 67.16/24.48 | (313) aElement0(all_119_2_45) = all_171_7_104
% 67.16/24.48 | (314) sdtpldt0(all_119_2_45, all_11_2_12) = all_171_5_102
% 67.16/24.48 | (315) ~ (all_171_6_103 = 0) | ~ (all_171_7_104 = 0) | ~ (all_171_8_105 = 0) | (all_171_0_97 = all_171_3_100 & all_171_4_101 = all_0_1_1)
% 67.16/24.48 | (316) aElement0(xc) = all_171_8_105
% 67.16/24.48 |
% 67.16/24.48 | Instantiating (238) with all_173_0_106, all_173_1_107, all_173_2_108, all_173_3_109, all_173_4_110, all_173_5_111, all_173_6_112, all_173_7_113, all_173_8_114 yields:
% 67.16/24.48 | (317) sdtasdt0(all_173_5_111, xc) = all_173_3_109 & sdtasdt0(all_113_0_36, xc) = all_173_2_108 & sdtasdt0(all_12_0_13, xc) = all_173_1_107 & sdtasdt0(xc, all_173_5_111) = all_173_4_110 & sdtpldt0(all_173_2_108, all_173_1_107) = all_173_0_106 & sdtpldt0(all_113_0_36, all_12_0_13) = all_173_5_111 & aElement0(all_113_0_36) = all_173_7_113 & aElement0(all_12_0_13) = all_173_6_112 & aElement0(xc) = all_173_8_114 & ( ~ (all_173_6_112 = 0) | ~ (all_173_7_113 = 0) | ~ (all_173_8_114 = 0) | (all_173_0_106 = all_173_3_109 & all_173_4_110 = all_0_1_1))
% 67.16/24.48 |
% 67.16/24.48 | Applying alpha-rule on (317) yields:
% 67.16/24.48 | (318) aElement0(xc) = all_173_8_114
% 67.16/24.48 | (319) aElement0(all_113_0_36) = all_173_7_113
% 67.16/24.48 | (320) aElement0(all_12_0_13) = all_173_6_112
% 67.16/24.48 | (321) sdtasdt0(xc, all_173_5_111) = all_173_4_110
% 67.16/24.48 | (322) sdtpldt0(all_113_0_36, all_12_0_13) = all_173_5_111
% 67.16/24.48 | (323) ~ (all_173_6_112 = 0) | ~ (all_173_7_113 = 0) | ~ (all_173_8_114 = 0) | (all_173_0_106 = all_173_3_109 & all_173_4_110 = all_0_1_1)
% 67.16/24.48 | (324) sdtpldt0(all_173_2_108, all_173_1_107) = all_173_0_106
% 67.16/24.48 | (325) sdtasdt0(all_173_5_111, xc) = all_173_3_109
% 67.16/24.48 | (326) sdtasdt0(all_12_0_13, xc) = all_173_1_107
% 67.16/24.48 | (327) sdtasdt0(all_113_0_36, xc) = all_173_2_108
% 67.16/24.48 |
% 67.16/24.48 | Instantiating (237) with all_175_0_115, all_175_1_116, all_175_2_117, all_175_3_118, all_175_4_119, all_175_5_120, all_175_6_121, all_175_7_122, all_175_8_123 yields:
% 67.16/24.48 | (328) sdtasdt0(all_175_5_120, xc) = all_175_3_118 & sdtasdt0(all_119_2_45, xc) = all_175_2_117 & sdtasdt0(all_12_0_13, xc) = all_175_1_116 & sdtasdt0(xc, all_175_5_120) = all_175_4_119 & sdtpldt0(all_175_2_117, all_175_1_116) = all_175_0_115 & sdtpldt0(all_119_2_45, all_12_0_13) = all_175_5_120 & aElement0(all_119_2_45) = all_175_7_122 & aElement0(all_12_0_13) = all_175_6_121 & aElement0(xc) = all_175_8_123 & ( ~ (all_175_6_121 = 0) | ~ (all_175_7_122 = 0) | ~ (all_175_8_123 = 0) | (all_175_0_115 = all_175_3_118 & all_175_4_119 = all_0_1_1))
% 67.16/24.48 |
% 67.16/24.48 | Applying alpha-rule on (328) yields:
% 67.16/24.48 | (329) sdtasdt0(xc, all_175_5_120) = all_175_4_119
% 67.16/24.48 | (330) sdtasdt0(all_12_0_13, xc) = all_175_1_116
% 67.16/24.48 | (331) aElement0(xc) = all_175_8_123
% 67.16/24.48 | (332) aElement0(all_12_0_13) = all_175_6_121
% 67.16/24.48 | (333) aElement0(all_119_2_45) = all_175_7_122
% 67.16/24.48 | (334) sdtasdt0(all_175_5_120, xc) = all_175_3_118
% 67.16/24.48 | (335) sdtasdt0(all_119_2_45, xc) = all_175_2_117
% 67.16/24.49 | (336) sdtpldt0(all_175_2_117, all_175_1_116) = all_175_0_115
% 67.16/24.49 | (337) ~ (all_175_6_121 = 0) | ~ (all_175_7_122 = 0) | ~ (all_175_8_123 = 0) | (all_175_0_115 = all_175_3_118 & all_175_4_119 = all_0_1_1)
% 67.16/24.49 | (338) sdtpldt0(all_119_2_45, all_12_0_13) = all_175_5_120
% 67.16/24.49 |
% 67.16/24.49 | Instantiating formula (78) with all_119_2_45, xc, all_171_2_99, all_175_2_117 and discharging atoms sdtasdt0(all_119_2_45, xc) = all_175_2_117, sdtasdt0(all_119_2_45, xc) = all_171_2_99, yields:
% 67.16/24.49 | (339) all_175_2_117 = all_171_2_99
% 67.16/24.49 |
% 67.16/24.49 | Instantiating formula (78) with all_119_2_45, xc, all_165_1_71, all_175_2_117 and discharging atoms sdtasdt0(all_119_2_45, xc) = all_175_2_117, sdtasdt0(all_119_2_45, xc) = all_165_1_71, yields:
% 67.16/24.49 | (340) all_175_2_117 = all_165_1_71
% 67.16/24.49 |
% 67.16/24.49 | Instantiating formula (78) with all_119_2_45, xc, all_163_1_62, all_175_2_117 and discharging atoms sdtasdt0(all_119_2_45, xc) = all_175_2_117, sdtasdt0(all_119_2_45, xc) = all_163_1_62, yields:
% 67.16/24.49 | (341) all_175_2_117 = all_163_1_62
% 67.16/24.49 |
% 67.16/24.49 | Instantiating formula (78) with all_119_2_45, xc, all_161_0_58, all_165_1_71 and discharging atoms sdtasdt0(all_119_2_45, xc) = all_165_1_71, sdtasdt0(all_119_2_45, xc) = all_161_0_58, yields:
% 67.16/24.49 | (342) all_165_1_71 = all_161_0_58
% 67.16/24.49 |
% 67.16/24.49 | Instantiating formula (78) with all_113_0_36, xc, all_169_1_89, all_173_2_108 and discharging atoms sdtasdt0(all_113_0_36, xc) = all_173_2_108, sdtasdt0(all_113_0_36, xc) = all_169_1_89, yields:
% 67.16/24.49 | (343) all_173_2_108 = all_169_1_89
% 67.16/24.49 |
% 67.16/24.49 | Instantiating formula (78) with all_113_0_36, xc, all_167_1_80, all_173_2_108 and discharging atoms sdtasdt0(all_113_0_36, xc) = all_173_2_108, sdtasdt0(all_113_0_36, xc) = all_167_1_80, yields:
% 67.16/24.49 | (344) all_173_2_108 = all_167_1_80
% 67.16/24.49 |
% 67.16/24.49 | Instantiating formula (78) with all_113_0_36, xc, all_159_0_55, all_167_1_80 and discharging atoms sdtasdt0(all_113_0_36, xc) = all_167_1_80, sdtasdt0(all_113_0_36, xc) = all_159_0_55, yields:
% 67.16/24.49 | (345) all_167_1_80 = all_159_0_55
% 67.16/24.49 |
% 67.16/24.49 | Instantiating formula (78) with all_113_0_36, xc, all_157_2_48, all_173_2_108 and discharging atoms sdtasdt0(all_113_0_36, xc) = all_173_2_108, sdtasdt0(all_113_0_36, xc) = all_157_2_48, yields:
% 67.16/24.49 | (346) all_173_2_108 = all_157_2_48
% 67.16/24.49 |
% 67.16/24.49 | Instantiating formula (78) with all_12_0_13, xc, all_175_1_116, all_0_4_4 and discharging atoms sdtasdt0(all_12_0_13, xc) = all_175_1_116, sdtasdt0(all_12_0_13, xc) = all_0_4_4, yields:
% 67.16/24.49 | (347) all_175_1_116 = all_0_4_4
% 67.16/24.49 |
% 67.16/24.49 | Instantiating formula (78) with all_12_0_13, xc, all_173_1_107, all_175_1_116 and discharging atoms sdtasdt0(all_12_0_13, xc) = all_175_1_116, sdtasdt0(all_12_0_13, xc) = all_173_1_107, yields:
% 67.16/24.49 | (348) all_175_1_116 = all_173_1_107
% 67.16/24.49 |
% 67.16/24.49 | Instantiating formula (78) with all_12_0_13, xc, all_169_2_90, all_175_1_116 and discharging atoms sdtasdt0(all_12_0_13, xc) = all_175_1_116, sdtasdt0(all_12_0_13, xc) = all_169_2_90, yields:
% 67.16/24.49 | (349) all_175_1_116 = all_169_2_90
% 67.16/24.49 |
% 67.16/24.49 | Instantiating formula (78) with all_12_0_13, xc, all_165_2_72, all_169_2_90 and discharging atoms sdtasdt0(all_12_0_13, xc) = all_169_2_90, sdtasdt0(all_12_0_13, xc) = all_165_2_72, yields:
% 67.16/24.49 | (350) all_169_2_90 = all_165_2_72
% 67.16/24.49 |
% 67.16/24.49 | Instantiating formula (78) with all_11_2_12, xc, all_171_1_98, all_0_4_4 and discharging atoms sdtasdt0(all_11_2_12, xc) = all_171_1_98, sdtasdt0(all_11_2_12, xc) = all_0_4_4, yields:
% 67.16/24.49 | (351) all_171_1_98 = all_0_4_4
% 67.16/24.49 |
% 67.16/24.49 | Instantiating formula (78) with all_11_2_12, xc, all_167_2_81, all_171_1_98 and discharging atoms sdtasdt0(all_11_2_12, xc) = all_171_1_98, sdtasdt0(all_11_2_12, xc) = all_167_2_81, yields:
% 67.16/24.49 | (352) all_171_1_98 = all_167_2_81
% 67.16/24.49 |
% 67.16/24.49 | Instantiating formula (78) with all_11_2_12, xc, all_163_2_63, all_167_2_81 and discharging atoms sdtasdt0(all_11_2_12, xc) = all_167_2_81, sdtasdt0(all_11_2_12, xc) = all_163_2_63, yields:
% 67.16/24.49 | (353) all_167_2_81 = all_163_2_63
% 67.16/24.49 |
% 67.16/24.49 | Instantiating formula (55) with all_119_2_45, all_171_7_104, all_175_7_122 and discharging atoms aElement0(all_119_2_45) = all_175_7_122, aElement0(all_119_2_45) = all_171_7_104, yields:
% 67.16/24.49 | (354) all_175_7_122 = all_171_7_104
% 67.16/24.49 |
% 67.16/24.49 | Instantiating formula (55) with all_119_2_45, all_165_6_76, all_171_7_104 and discharging atoms aElement0(all_119_2_45) = all_171_7_104, aElement0(all_119_2_45) = all_165_6_76, yields:
% 67.16/24.49 | (355) all_171_7_104 = all_165_6_76
% 67.16/24.49 |
% 67.16/24.49 | Instantiating formula (55) with all_119_2_45, all_163_6_67, 0 and discharging atoms aElement0(all_119_2_45) = all_163_6_67, aElement0(all_119_2_45) = 0, yields:
% 67.16/24.49 | (356) all_163_6_67 = 0
% 67.16/24.49 |
% 67.16/24.49 | Instantiating formula (55) with all_119_2_45, all_163_6_67, all_165_6_76 and discharging atoms aElement0(all_119_2_45) = all_165_6_76, aElement0(all_119_2_45) = all_163_6_67, yields:
% 67.16/24.49 | (357) all_165_6_76 = all_163_6_67
% 67.16/24.49 |
% 67.16/24.49 | Instantiating formula (55) with all_119_2_45, all_161_1_59, all_175_7_122 and discharging atoms aElement0(all_119_2_45) = all_175_7_122, aElement0(all_119_2_45) = all_161_1_59, yields:
% 67.16/24.49 | (358) all_175_7_122 = all_161_1_59
% 67.16/24.49 |
% 67.16/24.49 | Instantiating formula (55) with all_113_0_36, all_169_6_94, all_173_7_113 and discharging atoms aElement0(all_113_0_36) = all_173_7_113, aElement0(all_113_0_36) = all_169_6_94, yields:
% 67.16/24.49 | (359) all_173_7_113 = all_169_6_94
% 67.16/24.49 |
% 67.16/24.49 | Instantiating formula (55) with all_113_0_36, all_167_6_85, 0 and discharging atoms aElement0(all_113_0_36) = all_167_6_85, aElement0(all_113_0_36) = 0, yields:
% 67.16/24.49 | (360) all_167_6_85 = 0
% 67.16/24.49 |
% 67.16/24.49 | Instantiating formula (55) with all_113_0_36, all_167_6_85, all_173_7_113 and discharging atoms aElement0(all_113_0_36) = all_173_7_113, aElement0(all_113_0_36) = all_167_6_85, yields:
% 67.16/24.49 | (361) all_173_7_113 = all_167_6_85
% 67.16/24.49 |
% 67.16/24.49 | Instantiating formula (55) with all_113_0_36, all_159_1_56, all_173_7_113 and discharging atoms aElement0(all_113_0_36) = all_173_7_113, aElement0(all_113_0_36) = all_159_1_56, yields:
% 67.16/24.49 | (362) all_173_7_113 = all_159_1_56
% 67.16/24.49 |
% 67.16/24.49 | Instantiating formula (55) with all_113_0_36, all_157_7_53, all_167_6_85 and discharging atoms aElement0(all_113_0_36) = all_167_6_85, aElement0(all_113_0_36) = all_157_7_53, yields:
% 67.16/24.49 | (363) all_167_6_85 = all_157_7_53
% 67.16/24.49 |
% 67.16/24.49 | Instantiating formula (55) with all_12_0_13, all_173_6_112, 0 and discharging atoms aElement0(all_12_0_13) = all_173_6_112, aElement0(all_12_0_13) = 0, yields:
% 67.16/24.49 | (364) all_173_6_112 = 0
% 67.16/24.49 |
% 67.16/24.49 | Instantiating formula (55) with all_12_0_13, all_169_7_95, all_175_6_121 and discharging atoms aElement0(all_12_0_13) = all_175_6_121, aElement0(all_12_0_13) = all_169_7_95, yields:
% 67.16/24.49 | (365) all_175_6_121 = all_169_7_95
% 67.16/24.49 |
% 67.16/24.49 | Instantiating formula (55) with all_12_0_13, all_169_7_95, all_173_6_112 and discharging atoms aElement0(all_12_0_13) = all_173_6_112, aElement0(all_12_0_13) = all_169_7_95, yields:
% 67.16/24.49 | (366) all_173_6_112 = all_169_7_95
% 67.16/24.49 |
% 67.16/24.49 | Instantiating formula (55) with all_12_0_13, all_165_7_77, all_175_6_121 and discharging atoms aElement0(all_12_0_13) = all_175_6_121, aElement0(all_12_0_13) = all_165_7_77, yields:
% 67.16/24.49 | (367) all_175_6_121 = all_165_7_77
% 67.16/24.49 |
% 67.16/24.49 | Instantiating formula (55) with all_11_2_12, all_167_7_86, 0 and discharging atoms aElement0(all_11_2_12) = all_167_7_86, aElement0(all_11_2_12) = 0, yields:
% 67.16/24.49 | (368) all_167_7_86 = 0
% 67.16/24.49 |
% 67.16/24.49 | Instantiating formula (55) with all_11_2_12, all_167_7_86, all_171_6_103 and discharging atoms aElement0(all_11_2_12) = all_171_6_103, aElement0(all_11_2_12) = all_167_7_86, yields:
% 67.16/24.49 | (369) all_171_6_103 = all_167_7_86
% 67.16/24.49 |
% 67.16/24.49 | Instantiating formula (55) with all_11_2_12, all_163_7_68, all_171_6_103 and discharging atoms aElement0(all_11_2_12) = all_171_6_103, aElement0(all_11_2_12) = all_163_7_68, yields:
% 67.16/24.49 | (370) all_171_6_103 = all_163_7_68
% 67.16/24.49 |
% 67.16/24.49 | Instantiating formula (55) with xc, all_175_8_123, 0 and discharging atoms aElement0(xc) = all_175_8_123, aElement0(xc) = 0, yields:
% 67.16/24.49 | (371) all_175_8_123 = 0
% 67.16/24.49 |
% 67.16/24.49 | Instantiating formula (55) with xc, all_171_8_105, all_173_8_114 and discharging atoms aElement0(xc) = all_173_8_114, aElement0(xc) = all_171_8_105, yields:
% 67.16/24.49 | (372) all_173_8_114 = all_171_8_105
% 67.16/24.49 |
% 67.16/24.49 | Instantiating formula (55) with xc, all_169_8_96, all_175_8_123 and discharging atoms aElement0(xc) = all_175_8_123, aElement0(xc) = all_169_8_96, yields:
% 67.16/24.49 | (373) all_175_8_123 = all_169_8_96
% 67.16/24.49 |
% 67.16/24.49 | Instantiating formula (55) with xc, all_169_8_96, all_171_8_105 and discharging atoms aElement0(xc) = all_171_8_105, aElement0(xc) = all_169_8_96, yields:
% 67.16/24.49 | (374) all_171_8_105 = all_169_8_96
% 67.16/24.49 |
% 67.16/24.50 | Instantiating formula (55) with xc, all_167_8_87, all_171_8_105 and discharging atoms aElement0(xc) = all_171_8_105, aElement0(xc) = all_167_8_87, yields:
% 67.16/24.50 | (375) all_171_8_105 = all_167_8_87
% 67.16/24.50 |
% 67.16/24.50 | Instantiating formula (55) with xc, all_165_8_78, all_169_8_96 and discharging atoms aElement0(xc) = all_169_8_96, aElement0(xc) = all_165_8_78, yields:
% 67.16/24.50 | (376) all_169_8_96 = all_165_8_78
% 67.16/24.50 |
% 67.16/24.50 | Instantiating formula (55) with xc, all_163_8_69, all_175_8_123 and discharging atoms aElement0(xc) = all_175_8_123, aElement0(xc) = all_163_8_69, yields:
% 67.16/24.50 | (377) all_175_8_123 = all_163_8_69
% 67.16/24.50 |
% 67.16/24.50 | Instantiating formula (55) with xc, all_161_2_60, all_173_8_114 and discharging atoms aElement0(xc) = all_173_8_114, aElement0(xc) = all_161_2_60, yields:
% 67.16/24.50 | (378) all_173_8_114 = all_161_2_60
% 67.16/24.50 |
% 67.16/24.50 | Instantiating formula (55) with xc, all_159_2_57, all_175_8_123 and discharging atoms aElement0(xc) = all_175_8_123, aElement0(xc) = all_159_2_57, yields:
% 67.16/24.50 | (379) all_175_8_123 = all_159_2_57
% 67.16/24.50 |
% 67.16/24.50 | Combining equations (347,348) yields a new equation:
% 67.16/24.50 | (380) all_173_1_107 = all_0_4_4
% 67.16/24.50 |
% 67.16/24.50 | Combining equations (349,348) yields a new equation:
% 67.16/24.50 | (381) all_173_1_107 = all_169_2_90
% 67.16/24.50 |
% 67.16/24.50 | Combining equations (341,339) yields a new equation:
% 67.16/24.50 | (382) all_171_2_99 = all_163_1_62
% 67.16/24.50 |
% 67.16/24.50 | Combining equations (340,339) yields a new equation:
% 67.16/24.50 | (383) all_171_2_99 = all_165_1_71
% 67.16/24.50 |
% 67.16/24.50 | Combining equations (365,367) yields a new equation:
% 67.16/24.50 | (384) all_169_7_95 = all_165_7_77
% 67.16/24.50 |
% 67.16/24.50 | Simplifying 384 yields:
% 67.16/24.50 | (385) all_169_7_95 = all_165_7_77
% 67.16/24.50 |
% 67.16/24.50 | Combining equations (354,358) yields a new equation:
% 67.16/24.50 | (386) all_171_7_104 = all_161_1_59
% 67.16/24.50 |
% 67.16/24.50 | Simplifying 386 yields:
% 67.16/24.50 | (387) all_171_7_104 = all_161_1_59
% 67.16/24.50 |
% 67.16/24.50 | Combining equations (373,377) yields a new equation:
% 67.16/24.50 | (388) all_169_8_96 = all_163_8_69
% 67.16/24.50 |
% 67.16/24.50 | Simplifying 388 yields:
% 67.16/24.50 | (389) all_169_8_96 = all_163_8_69
% 67.16/24.50 |
% 67.16/24.50 | Combining equations (379,377) yields a new equation:
% 67.16/24.50 | (390) all_163_8_69 = all_159_2_57
% 67.16/24.50 |
% 67.16/24.50 | Combining equations (371,377) yields a new equation:
% 67.16/24.50 | (391) all_163_8_69 = 0
% 67.16/24.50 |
% 67.16/24.50 | Combining equations (381,380) yields a new equation:
% 67.16/24.50 | (392) all_169_2_90 = all_0_4_4
% 67.16/24.50 |
% 67.16/24.50 | Simplifying 392 yields:
% 67.16/24.50 | (393) all_169_2_90 = all_0_4_4
% 67.16/24.50 |
% 67.16/24.50 | Combining equations (344,343) yields a new equation:
% 67.16/24.50 | (394) all_169_1_89 = all_167_1_80
% 67.16/24.50 |
% 67.16/24.50 | Combining equations (346,343) yields a new equation:
% 67.16/24.50 | (395) all_169_1_89 = all_157_2_48
% 67.16/24.50 |
% 67.16/24.50 | Combining equations (366,364) yields a new equation:
% 67.16/24.50 | (396) all_169_7_95 = 0
% 67.16/24.50 |
% 67.16/24.50 | Simplifying 396 yields:
% 67.16/24.50 | (397) all_169_7_95 = 0
% 67.16/24.50 |
% 67.16/24.50 | Combining equations (362,359) yields a new equation:
% 67.16/24.50 | (398) all_169_6_94 = all_159_1_56
% 67.16/24.50 |
% 67.16/24.50 | Combining equations (361,359) yields a new equation:
% 67.16/24.50 | (399) all_169_6_94 = all_167_6_85
% 67.16/24.50 |
% 67.16/24.50 | Combining equations (372,378) yields a new equation:
% 67.16/24.50 | (400) all_171_8_105 = all_161_2_60
% 67.16/24.50 |
% 67.16/24.50 | Simplifying 400 yields:
% 67.16/24.50 | (401) all_171_8_105 = all_161_2_60
% 67.16/24.50 |
% 67.16/24.50 | Combining equations (352,351) yields a new equation:
% 67.16/24.50 | (402) all_167_2_81 = all_0_4_4
% 67.16/24.50 |
% 67.16/24.50 | Simplifying 402 yields:
% 67.16/24.50 | (403) all_167_2_81 = all_0_4_4
% 67.16/24.50 |
% 67.16/24.50 | Combining equations (383,382) yields a new equation:
% 67.16/24.50 | (404) all_165_1_71 = all_163_1_62
% 67.16/24.50 |
% 67.16/24.50 | Simplifying 404 yields:
% 67.16/24.50 | (405) all_165_1_71 = all_163_1_62
% 67.16/24.50 |
% 67.16/24.50 | Combining equations (369,370) yields a new equation:
% 67.16/24.50 | (406) all_167_7_86 = all_163_7_68
% 67.16/24.50 |
% 67.16/24.50 | Simplifying 406 yields:
% 67.16/24.50 | (407) all_167_7_86 = all_163_7_68
% 67.16/24.50 |
% 67.16/24.50 | Combining equations (355,387) yields a new equation:
% 67.16/24.50 | (408) all_165_6_76 = all_161_1_59
% 67.16/24.50 |
% 67.16/24.50 | Simplifying 408 yields:
% 67.16/24.50 | (409) all_165_6_76 = all_161_1_59
% 67.16/24.50 |
% 67.16/24.50 | Combining equations (374,375) yields a new equation:
% 67.16/24.50 | (410) all_169_8_96 = all_167_8_87
% 67.16/24.50 |
% 67.16/24.50 | Simplifying 410 yields:
% 67.16/24.50 | (411) all_169_8_96 = all_167_8_87
% 67.16/24.50 |
% 67.16/24.50 | Combining equations (401,375) yields a new equation:
% 67.16/24.50 | (412) all_167_8_87 = all_161_2_60
% 67.16/24.50 |
% 67.16/24.50 | Combining equations (394,395) yields a new equation:
% 67.16/24.50 | (413) all_167_1_80 = all_157_2_48
% 67.16/24.50 |
% 67.16/24.50 | Simplifying 413 yields:
% 67.16/24.50 | (414) all_167_1_80 = all_157_2_48
% 67.16/24.50 |
% 67.16/24.50 | Combining equations (350,393) yields a new equation:
% 67.16/24.50 | (415) all_165_2_72 = all_0_4_4
% 67.16/24.50 |
% 67.16/24.50 | Simplifying 415 yields:
% 67.16/24.50 | (416) all_165_2_72 = all_0_4_4
% 67.16/24.50 |
% 67.16/24.50 | Combining equations (399,398) yields a new equation:
% 67.16/24.50 | (417) all_167_6_85 = all_159_1_56
% 67.16/24.50 |
% 67.16/24.50 | Simplifying 417 yields:
% 67.16/24.50 | (418) all_167_6_85 = all_159_1_56
% 67.16/24.50 |
% 67.16/24.50 | Combining equations (385,397) yields a new equation:
% 67.16/24.50 | (419) all_165_7_77 = 0
% 67.16/24.50 |
% 67.16/24.50 | Simplifying 419 yields:
% 67.16/24.50 | (420) all_165_7_77 = 0
% 67.16/24.50 |
% 67.16/24.50 | Combining equations (389,376) yields a new equation:
% 67.16/24.50 | (421) all_165_8_78 = all_163_8_69
% 67.16/24.50 |
% 67.16/24.50 | Combining equations (411,376) yields a new equation:
% 67.16/24.50 | (422) all_167_8_87 = all_165_8_78
% 67.16/24.50 |
% 67.16/24.50 | Simplifying 422 yields:
% 67.16/24.50 | (423) all_167_8_87 = all_165_8_78
% 67.16/24.50 |
% 67.16/24.50 | Combining equations (345,414) yields a new equation:
% 67.16/24.50 | (424) all_159_0_55 = all_157_2_48
% 67.16/24.50 |
% 67.16/24.50 | Simplifying 424 yields:
% 67.16/24.50 | (425) all_159_0_55 = all_157_2_48
% 67.16/24.50 |
% 67.16/24.50 | Combining equations (353,403) yields a new equation:
% 67.16/24.50 | (426) all_163_2_63 = all_0_4_4
% 67.16/24.50 |
% 67.16/24.50 | Simplifying 426 yields:
% 67.16/24.50 | (427) all_163_2_63 = all_0_4_4
% 67.16/24.50 |
% 67.16/24.50 | Combining equations (363,418) yields a new equation:
% 67.16/24.50 | (428) all_159_1_56 = all_157_7_53
% 67.16/24.50 |
% 67.16/24.50 | Combining equations (360,418) yields a new equation:
% 67.16/24.50 | (429) all_159_1_56 = 0
% 67.16/24.50 |
% 67.16/24.51 | Combining equations (407,368) yields a new equation:
% 67.16/24.51 | (430) all_163_7_68 = 0
% 67.16/24.51 |
% 67.16/24.51 | Simplifying 430 yields:
% 67.16/24.51 | (431) all_163_7_68 = 0
% 67.16/24.51 |
% 67.16/24.51 | Combining equations (423,412) yields a new equation:
% 67.16/24.51 | (432) all_165_8_78 = all_161_2_60
% 67.16/24.51 |
% 67.16/24.51 | Simplifying 432 yields:
% 67.16/24.51 | (433) all_165_8_78 = all_161_2_60
% 67.16/24.51 |
% 67.16/24.51 | Combining equations (342,405) yields a new equation:
% 67.16/24.51 | (434) all_163_1_62 = all_161_0_58
% 67.16/24.51 |
% 67.16/24.51 | Combining equations (357,409) yields a new equation:
% 67.16/24.51 | (435) all_163_6_67 = all_161_1_59
% 67.16/24.51 |
% 67.16/24.51 | Simplifying 435 yields:
% 67.16/24.51 | (436) all_163_6_67 = all_161_1_59
% 67.16/24.51 |
% 67.16/24.51 | Combining equations (421,433) yields a new equation:
% 67.16/24.51 | (437) all_163_8_69 = all_161_2_60
% 67.16/24.51 |
% 67.16/24.51 | Simplifying 437 yields:
% 67.16/24.51 | (438) all_163_8_69 = all_161_2_60
% 67.16/24.51 |
% 67.16/24.51 | Combining equations (356,436) yields a new equation:
% 67.16/24.51 | (439) all_161_1_59 = 0
% 67.16/24.51 |
% 67.16/24.51 | Combining equations (391,438) yields a new equation:
% 67.16/24.51 | (440) all_161_2_60 = 0
% 67.16/24.51 |
% 67.16/24.51 | Combining equations (390,438) yields a new equation:
% 67.16/24.51 | (441) all_161_2_60 = all_159_2_57
% 67.16/24.51 |
% 67.16/24.51 | Combining equations (441,440) yields a new equation:
% 67.16/24.51 | (442) all_159_2_57 = 0
% 67.16/24.51 |
% 67.16/24.51 | Simplifying 442 yields:
% 67.16/24.51 | (443) all_159_2_57 = 0
% 67.16/24.51 |
% 67.38/24.51 | Combining equations (429,428) yields a new equation:
% 67.38/24.51 | (444) all_157_7_53 = 0
% 67.38/24.51 |
% 67.38/24.51 | Combining equations (444,428) yields a new equation:
% 67.38/24.51 | (429) all_159_1_56 = 0
% 67.38/24.51 |
% 67.38/24.51 | Combining equations (440,438) yields a new equation:
% 67.38/24.51 | (391) all_163_8_69 = 0
% 67.38/24.51 |
% 67.38/24.51 | Combining equations (439,436) yields a new equation:
% 67.38/24.51 | (356) all_163_6_67 = 0
% 67.38/24.51 |
% 67.38/24.51 | Combining equations (440,433) yields a new equation:
% 67.38/24.51 | (448) all_165_8_78 = 0
% 67.38/24.51 |
% 67.38/24.51 | Combining equations (439,409) yields a new equation:
% 67.38/24.51 | (449) all_165_6_76 = 0
% 67.38/24.51 |
% 67.38/24.51 | Combining equations (434,405) yields a new equation:
% 67.38/24.51 | (342) all_165_1_71 = all_161_0_58
% 67.38/24.51 |
% 67.38/24.51 | Combining equations (440,412) yields a new equation:
% 67.38/24.51 | (451) all_167_8_87 = 0
% 67.38/24.51 |
% 67.38/24.51 | Combining equations (429,418) yields a new equation:
% 67.38/24.51 | (360) all_167_6_85 = 0
% 67.38/24.51 |
% 67.38/24.51 | Combining equations (448,376) yields a new equation:
% 67.38/24.51 | (453) all_169_8_96 = 0
% 67.38/24.51 |
% 67.38/24.51 | Combining equations (429,398) yields a new equation:
% 67.38/24.51 | (454) all_169_6_94 = 0
% 67.38/24.51 |
% 67.38/24.51 | Combining equations (440,378) yields a new equation:
% 67.38/24.51 | (455) all_173_8_114 = 0
% 67.38/24.51 |
% 67.38/24.51 | Combining equations (454,359) yields a new equation:
% 67.38/24.51 | (456) all_173_7_113 = 0
% 67.38/24.51 |
% 67.38/24.51 | Combining equations (391,377) yields a new equation:
% 67.38/24.51 | (371) all_175_8_123 = 0
% 67.38/24.51 |
% 67.38/24.51 | Combining equations (439,358) yields a new equation:
% 67.38/24.51 | (458) all_175_7_122 = 0
% 67.38/24.51 |
% 67.38/24.51 | Combining equations (420,367) yields a new equation:
% 67.38/24.51 | (459) all_175_6_121 = 0
% 67.38/24.51 |
% 67.38/24.51 | From (393)(395) and (297) follows:
% 67.38/24.51 | (460) sdtpldt0(all_0_4_4, all_157_2_48) = all_169_0_88
% 67.38/24.51 |
% 67.38/24.51 | From (403)(414) and (292) follows:
% 67.38/24.51 | (461) sdtpldt0(all_0_4_4, all_157_2_48) = all_167_0_79
% 67.38/24.51 |
% 67.38/24.51 | From (416)(342) and (280) follows:
% 67.38/24.51 | (462) sdtpldt0(all_0_4_4, all_161_0_58) = all_165_0_70
% 67.38/24.51 |
% 67.38/24.51 | From (427)(434) and (272) follows:
% 67.38/24.51 | (463) sdtpldt0(all_0_4_4, all_161_0_58) = all_163_0_61
% 67.38/24.51 |
% 67.38/24.51 | From (439) and (259) follows:
% 67.38/24.51 | (219) aElement0(all_119_2_45) = 0
% 67.38/24.51 |
% 67.38/24.51 | From (420) and (276) follows:
% 67.38/24.51 | (91) aElement0(all_12_0_13) = 0
% 67.38/24.51 |
% 67.38/24.51 +-Applying beta-rule and splitting (305), into two cases.
% 67.38/24.51 |-Branch one:
% 67.38/24.51 | (466) ~ (all_169_6_94 = 0)
% 67.38/24.51 |
% 67.38/24.51 | Equations (454) can reduce 466 to:
% 67.38/24.51 | (98) $false
% 67.38/24.51 |
% 67.38/24.51 |-The branch is then unsatisfiable
% 67.38/24.51 |-Branch two:
% 67.38/24.51 | (454) all_169_6_94 = 0
% 67.38/24.51 | (469) ~ (all_169_7_95 = 0) | ~ (all_169_8_96 = 0) | (all_169_0_88 = all_169_3_91 & all_169_4_92 = all_0_1_1)
% 67.38/24.51 |
% 67.38/24.51 +-Applying beta-rule and splitting (469), into two cases.
% 67.38/24.51 |-Branch one:
% 67.38/24.51 | (470) ~ (all_169_7_95 = 0)
% 67.38/24.51 |
% 67.38/24.51 | Equations (397) can reduce 470 to:
% 67.38/24.51 | (98) $false
% 67.38/24.51 |
% 67.38/24.51 |-The branch is then unsatisfiable
% 67.38/24.51 |-Branch two:
% 67.38/24.51 | (397) all_169_7_95 = 0
% 67.38/24.51 | (473) ~ (all_169_8_96 = 0) | (all_169_0_88 = all_169_3_91 & all_169_4_92 = all_0_1_1)
% 67.38/24.51 |
% 67.38/24.51 +-Applying beta-rule and splitting (337), into two cases.
% 67.38/24.51 |-Branch one:
% 67.38/24.51 | (474) ~ (all_175_6_121 = 0)
% 67.38/24.51 |
% 67.38/24.51 | Equations (459) can reduce 474 to:
% 67.38/24.51 | (98) $false
% 67.38/24.51 |
% 67.38/24.51 |-The branch is then unsatisfiable
% 67.38/24.51 |-Branch two:
% 67.38/24.51 | (459) all_175_6_121 = 0
% 67.38/24.51 | (477) ~ (all_175_7_122 = 0) | ~ (all_175_8_123 = 0) | (all_175_0_115 = all_175_3_118 & all_175_4_119 = all_0_1_1)
% 67.38/24.51 |
% 67.38/24.51 +-Applying beta-rule and splitting (473), into two cases.
% 67.38/24.51 |-Branch one:
% 67.38/24.51 | (478) ~ (all_169_8_96 = 0)
% 67.38/24.51 |
% 67.38/24.51 | Equations (453) can reduce 478 to:
% 67.38/24.51 | (98) $false
% 67.38/24.51 |
% 67.38/24.51 |-The branch is then unsatisfiable
% 67.38/24.51 |-Branch two:
% 67.38/24.51 | (453) all_169_8_96 = 0
% 67.38/24.51 | (481) all_169_0_88 = all_169_3_91 & all_169_4_92 = all_0_1_1
% 67.38/24.52 |
% 67.38/24.52 | Applying alpha-rule on (481) yields:
% 67.38/24.52 | (482) all_169_0_88 = all_169_3_91
% 67.38/24.52 | (483) all_169_4_92 = all_0_1_1
% 67.38/24.52 |
% 67.38/24.52 | From (483) and (299) follows:
% 67.38/24.52 | (484) sdtasdt0(xc, all_169_5_93) = all_0_1_1
% 67.38/24.52 |
% 67.38/24.52 | From (482) and (460) follows:
% 67.38/24.52 | (485) sdtpldt0(all_0_4_4, all_157_2_48) = all_169_3_91
% 67.38/24.52 |
% 67.38/24.52 +-Applying beta-rule and splitting (267), into two cases.
% 67.38/24.52 |-Branch one:
% 67.38/24.52 | (486) ~ (all_163_6_67 = 0)
% 67.38/24.52 |
% 67.38/24.52 | Equations (356) can reduce 486 to:
% 67.38/24.52 | (98) $false
% 67.38/24.52 |
% 67.38/24.52 |-The branch is then unsatisfiable
% 67.38/24.52 |-Branch two:
% 67.38/24.52 | (356) all_163_6_67 = 0
% 67.38/24.52 | (489) ~ (all_163_7_68 = 0) | ~ (all_163_8_69 = 0) | (all_163_0_61 = all_163_3_64 & all_163_4_65 = all_0_1_1)
% 67.38/24.52 |
% 67.38/24.52 +-Applying beta-rule and splitting (489), into two cases.
% 67.38/24.52 |-Branch one:
% 67.38/24.52 | (490) ~ (all_163_7_68 = 0)
% 67.38/24.52 |
% 67.38/24.52 | Equations (431) can reduce 490 to:
% 67.38/24.52 | (98) $false
% 67.38/24.52 |
% 67.38/24.52 |-The branch is then unsatisfiable
% 67.38/24.52 |-Branch two:
% 67.38/24.52 | (431) all_163_7_68 = 0
% 67.38/24.52 | (493) ~ (all_163_8_69 = 0) | (all_163_0_61 = all_163_3_64 & all_163_4_65 = all_0_1_1)
% 67.38/24.52 |
% 67.38/24.52 +-Applying beta-rule and splitting (493), into two cases.
% 67.38/24.52 |-Branch one:
% 67.38/24.52 | (494) ~ (all_163_8_69 = 0)
% 67.38/24.52 |
% 67.38/24.52 | Equations (391) can reduce 494 to:
% 67.38/24.52 | (98) $false
% 67.38/24.52 |
% 67.38/24.52 |-The branch is then unsatisfiable
% 67.38/24.52 |-Branch two:
% 67.38/24.52 | (391) all_163_8_69 = 0
% 67.38/24.52 | (497) all_163_0_61 = all_163_3_64 & all_163_4_65 = all_0_1_1
% 67.38/24.52 |
% 67.38/24.52 | Applying alpha-rule on (497) yields:
% 67.38/24.52 | (498) all_163_0_61 = all_163_3_64
% 67.38/24.52 | (499) all_163_4_65 = all_0_1_1
% 67.38/24.52 |
% 67.38/24.52 | From (499) and (269) follows:
% 67.38/24.52 | (500) sdtasdt0(xc, all_163_5_66) = all_0_1_1
% 67.38/24.52 |
% 67.38/24.52 | From (498) and (463) follows:
% 67.38/24.52 | (501) sdtpldt0(all_0_4_4, all_161_0_58) = all_163_3_64
% 67.38/24.52 |
% 67.38/24.52 +-Applying beta-rule and splitting (323), into two cases.
% 67.38/24.52 |-Branch one:
% 67.38/24.52 | (502) ~ (all_173_6_112 = 0)
% 67.38/24.52 |
% 67.38/24.52 | Equations (364) can reduce 502 to:
% 67.38/24.52 | (98) $false
% 67.38/24.52 |
% 67.38/24.52 |-The branch is then unsatisfiable
% 67.38/24.52 |-Branch two:
% 67.38/24.52 | (364) all_173_6_112 = 0
% 67.38/24.52 | (505) ~ (all_173_7_113 = 0) | ~ (all_173_8_114 = 0) | (all_173_0_106 = all_173_3_109 & all_173_4_110 = all_0_1_1)
% 67.38/24.52 |
% 67.38/24.52 +-Applying beta-rule and splitting (256), into two cases.
% 67.38/24.52 |-Branch one:
% 67.38/24.52 | (506) ~ (all_159_1_56 = 0)
% 67.38/24.52 |
% 67.38/24.52 | Equations (429) can reduce 506 to:
% 67.38/24.52 | (98) $false
% 67.38/24.52 |
% 67.38/24.52 |-The branch is then unsatisfiable
% 67.38/24.52 |-Branch two:
% 67.38/24.52 | (429) all_159_1_56 = 0
% 67.38/24.52 | (509) ~ (all_159_2_57 = 0) | all_159_0_55 = all_0_3_3
% 67.38/24.52 |
% 67.38/24.52 +-Applying beta-rule and splitting (505), into two cases.
% 67.38/24.52 |-Branch one:
% 67.38/24.52 | (510) ~ (all_173_7_113 = 0)
% 67.38/24.52 |
% 67.38/24.52 | Equations (456) can reduce 510 to:
% 67.38/24.52 | (98) $false
% 67.38/24.52 |
% 67.38/24.52 |-The branch is then unsatisfiable
% 67.38/24.52 |-Branch two:
% 67.38/24.52 | (456) all_173_7_113 = 0
% 67.38/24.52 | (513) ~ (all_173_8_114 = 0) | (all_173_0_106 = all_173_3_109 & all_173_4_110 = all_0_1_1)
% 67.38/24.52 |
% 67.38/24.52 +-Applying beta-rule and splitting (513), into two cases.
% 67.38/24.52 |-Branch one:
% 67.38/24.52 | (514) ~ (all_173_8_114 = 0)
% 67.38/24.52 |
% 67.38/24.52 | Equations (455) can reduce 514 to:
% 67.38/24.52 | (98) $false
% 67.38/24.52 |
% 67.38/24.52 |-The branch is then unsatisfiable
% 67.38/24.52 |-Branch two:
% 67.38/24.52 | (455) all_173_8_114 = 0
% 67.38/24.52 | (517) all_173_0_106 = all_173_3_109 & all_173_4_110 = all_0_1_1
% 67.38/24.52 |
% 67.38/24.52 | Applying alpha-rule on (517) yields:
% 67.38/24.52 | (518) all_173_0_106 = all_173_3_109
% 67.38/24.52 | (519) all_173_4_110 = all_0_1_1
% 67.38/24.52 |
% 67.38/24.52 | From (519) and (321) follows:
% 67.38/24.52 | (520) sdtasdt0(xc, all_173_5_111) = all_0_1_1
% 67.38/24.52 |
% 67.38/24.52 +-Applying beta-rule and splitting (509), into two cases.
% 67.38/24.52 |-Branch one:
% 67.38/24.52 | (521) ~ (all_159_2_57 = 0)
% 67.38/24.52 |
% 67.38/24.52 | Equations (443) can reduce 521 to:
% 67.38/24.52 | (98) $false
% 67.38/24.52 |
% 67.38/24.52 |-The branch is then unsatisfiable
% 67.38/24.52 |-Branch two:
% 67.38/24.52 | (443) all_159_2_57 = 0
% 67.38/24.52 | (524) all_159_0_55 = all_0_3_3
% 67.38/24.52 |
% 67.38/24.52 | Combining equations (425,524) yields a new equation:
% 67.38/24.52 | (525) all_157_2_48 = all_0_3_3
% 67.38/24.52 |
% 67.38/24.52 | Simplifying 525 yields:
% 67.38/24.52 | (526) all_157_2_48 = all_0_3_3
% 67.38/24.52 |
% 67.38/24.52 | From (526) and (485) follows:
% 67.38/24.52 | (527) sdtpldt0(all_0_4_4, all_0_3_3) = all_169_3_91
% 67.38/24.52 |
% 67.38/24.52 | From (526) and (461) follows:
% 67.38/24.52 | (528) sdtpldt0(all_0_4_4, all_0_3_3) = all_167_0_79
% 67.38/24.52 |
% 67.38/24.52 +-Applying beta-rule and splitting (261), into two cases.
% 67.38/24.52 |-Branch one:
% 67.38/24.52 | (529) ~ (all_161_1_59 = 0)
% 67.38/24.52 |
% 67.38/24.52 | Equations (439) can reduce 529 to:
% 67.38/24.52 | (98) $false
% 67.38/24.52 |
% 67.38/24.52 |-The branch is then unsatisfiable
% 67.38/24.52 |-Branch two:
% 67.38/24.52 | (439) all_161_1_59 = 0
% 67.38/24.52 | (532) ~ (all_161_2_60 = 0) | all_161_0_58 = all_0_3_3
% 67.38/24.52 |
% 67.38/24.52 +-Applying beta-rule and splitting (275), into two cases.
% 67.38/24.52 |-Branch one:
% 67.38/24.52 | (533) ~ (all_165_6_76 = 0)
% 67.38/24.52 |
% 67.38/24.52 | Equations (449) can reduce 533 to:
% 67.38/24.52 | (98) $false
% 67.38/24.52 |
% 67.38/24.52 |-The branch is then unsatisfiable
% 67.38/24.52 |-Branch two:
% 67.38/24.52 | (449) all_165_6_76 = 0
% 67.38/24.52 | (536) ~ (all_165_7_77 = 0) | ~ (all_165_8_78 = 0) | (all_165_0_70 = all_165_3_73 & all_165_4_74 = all_0_1_1)
% 67.38/24.53 |
% 67.38/24.53 +-Applying beta-rule and splitting (532), into two cases.
% 67.38/24.53 |-Branch one:
% 67.38/24.53 | (537) ~ (all_161_2_60 = 0)
% 67.38/24.53 |
% 67.38/24.53 | Equations (440) can reduce 537 to:
% 67.38/24.53 | (98) $false
% 67.38/24.53 |
% 67.38/24.53 |-The branch is then unsatisfiable
% 67.38/24.53 |-Branch two:
% 67.38/24.53 | (440) all_161_2_60 = 0
% 67.38/24.53 | (540) all_161_0_58 = all_0_3_3
% 67.38/24.53 |
% 67.38/24.53 | From (540) and (462) follows:
% 67.38/24.53 | (541) sdtpldt0(all_0_4_4, all_0_3_3) = all_165_0_70
% 67.38/24.53 |
% 67.38/24.53 | From (540) and (501) follows:
% 67.38/24.53 | (542) sdtpldt0(all_0_4_4, all_0_3_3) = all_163_3_64
% 67.38/24.53 |
% 67.38/24.53 +-Applying beta-rule and splitting (536), into two cases.
% 67.38/24.53 |-Branch one:
% 67.38/24.53 | (543) ~ (all_165_7_77 = 0)
% 67.38/24.53 |
% 67.38/24.53 | Equations (420) can reduce 543 to:
% 67.38/24.53 | (98) $false
% 67.38/24.53 |
% 67.38/24.53 |-The branch is then unsatisfiable
% 67.38/24.53 |-Branch two:
% 67.38/24.53 | (420) all_165_7_77 = 0
% 67.38/24.53 | (546) ~ (all_165_8_78 = 0) | (all_165_0_70 = all_165_3_73 & all_165_4_74 = all_0_1_1)
% 67.38/24.53 |
% 67.38/24.53 +-Applying beta-rule and splitting (546), into two cases.
% 67.38/24.53 |-Branch one:
% 67.38/24.53 | (547) ~ (all_165_8_78 = 0)
% 67.38/24.53 |
% 67.38/24.53 | Equations (448) can reduce 547 to:
% 67.38/24.53 | (98) $false
% 67.38/24.53 |
% 67.38/24.53 |-The branch is then unsatisfiable
% 67.38/24.53 |-Branch two:
% 67.38/24.53 | (448) all_165_8_78 = 0
% 67.38/24.53 | (550) all_165_0_70 = all_165_3_73 & all_165_4_74 = all_0_1_1
% 67.38/24.53 |
% 67.38/24.53 | Applying alpha-rule on (550) yields:
% 67.38/24.53 | (551) all_165_0_70 = all_165_3_73
% 67.38/24.53 | (552) all_165_4_74 = all_0_1_1
% 67.38/24.53 |
% 67.38/24.53 | From (552) and (283) follows:
% 67.38/24.53 | (553) sdtasdt0(xc, all_165_5_75) = all_0_1_1
% 67.38/24.53 |
% 67.38/24.53 | From (551) and (541) follows:
% 67.38/24.53 | (554) sdtpldt0(all_0_4_4, all_0_3_3) = all_165_3_73
% 67.38/24.53 |
% 67.38/24.53 +-Applying beta-rule and splitting (477), into two cases.
% 67.38/24.53 |-Branch one:
% 67.38/24.53 | (555) ~ (all_175_7_122 = 0)
% 67.38/24.53 |
% 67.38/24.53 | Equations (458) can reduce 555 to:
% 67.38/24.53 | (98) $false
% 67.38/24.53 |
% 67.38/24.53 |-The branch is then unsatisfiable
% 67.38/24.53 |-Branch two:
% 67.38/24.53 | (458) all_175_7_122 = 0
% 67.38/24.53 | (558) ~ (all_175_8_123 = 0) | (all_175_0_115 = all_175_3_118 & all_175_4_119 = all_0_1_1)
% 67.38/24.53 |
% 67.38/24.53 +-Applying beta-rule and splitting (558), into two cases.
% 67.38/24.53 |-Branch one:
% 67.38/24.53 | (559) ~ (all_175_8_123 = 0)
% 67.38/24.53 |
% 67.38/24.53 | Equations (371) can reduce 559 to:
% 67.38/24.53 | (98) $false
% 67.38/24.53 |
% 67.38/24.53 |-The branch is then unsatisfiable
% 67.38/24.53 |-Branch two:
% 67.38/24.53 | (371) all_175_8_123 = 0
% 67.38/24.53 | (562) all_175_0_115 = all_175_3_118 & all_175_4_119 = all_0_1_1
% 67.38/24.53 |
% 67.38/24.53 | Applying alpha-rule on (562) yields:
% 67.38/24.53 | (563) all_175_0_115 = all_175_3_118
% 67.38/24.53 | (564) all_175_4_119 = all_0_1_1
% 67.38/24.53 |
% 67.38/24.53 | From (564) and (329) follows:
% 67.38/24.53 | (565) sdtasdt0(xc, all_175_5_120) = all_0_1_1
% 67.38/24.53 |
% 67.38/24.53 +-Applying beta-rule and splitting (285), into two cases.
% 67.38/24.53 |-Branch one:
% 67.38/24.53 | (566) ~ (all_167_6_85 = 0)
% 67.38/24.53 |
% 67.38/24.53 | Equations (360) can reduce 566 to:
% 67.38/24.53 | (98) $false
% 67.38/24.53 |
% 67.38/24.53 |-The branch is then unsatisfiable
% 67.38/24.53 |-Branch two:
% 67.38/24.53 | (360) all_167_6_85 = 0
% 67.38/24.53 | (569) ~ (all_167_7_86 = 0) | ~ (all_167_8_87 = 0) | (all_167_0_79 = all_167_3_82 & all_167_4_83 = all_0_1_1)
% 67.38/24.53 |
% 67.38/24.53 +-Applying beta-rule and splitting (569), into two cases.
% 67.38/24.53 |-Branch one:
% 67.38/24.53 | (570) ~ (all_167_7_86 = 0)
% 67.38/24.53 |
% 67.38/24.53 | Equations (368) can reduce 570 to:
% 67.38/24.53 | (98) $false
% 67.38/24.53 |
% 67.38/24.53 |-The branch is then unsatisfiable
% 67.38/24.53 |-Branch two:
% 67.38/24.53 | (368) all_167_7_86 = 0
% 67.38/24.53 | (573) ~ (all_167_8_87 = 0) | (all_167_0_79 = all_167_3_82 & all_167_4_83 = all_0_1_1)
% 67.38/24.53 |
% 67.38/24.53 +-Applying beta-rule and splitting (573), into two cases.
% 67.38/24.53 |-Branch one:
% 67.38/24.53 | (574) ~ (all_167_8_87 = 0)
% 67.38/24.53 |
% 67.38/24.53 | Equations (451) can reduce 574 to:
% 67.38/24.53 | (98) $false
% 67.38/24.53 |
% 67.38/24.53 |-The branch is then unsatisfiable
% 67.38/24.53 |-Branch two:
% 67.38/24.53 | (451) all_167_8_87 = 0
% 67.38/24.53 | (577) all_167_0_79 = all_167_3_82 & all_167_4_83 = all_0_1_1
% 67.38/24.53 |
% 67.38/24.53 | Applying alpha-rule on (577) yields:
% 67.38/24.53 | (578) all_167_0_79 = all_167_3_82
% 67.38/24.53 | (579) all_167_4_83 = all_0_1_1
% 67.38/24.53 |
% 67.38/24.53 | From (579) and (288) follows:
% 67.38/24.53 | (580) sdtasdt0(xc, all_167_5_84) = all_0_1_1
% 67.38/24.53 |
% 67.38/24.53 | From (578) and (528) follows:
% 67.38/24.53 | (581) sdtpldt0(all_0_4_4, all_0_3_3) = all_167_3_82
% 67.38/24.53 |
% 67.38/24.53 | Instantiating formula (31) with all_0_4_4, all_0_3_3, all_167_3_82, all_0_1_1 and discharging atoms sdtpldt0(all_0_4_4, all_0_3_3) = all_167_3_82, sdtpldt0(all_0_4_4, all_0_3_3) = all_0_1_1, yields:
% 67.38/24.53 | (582) all_167_3_82 = all_0_1_1
% 67.38/24.53 |
% 67.38/24.53 | Instantiating formula (31) with all_0_4_4, all_0_3_3, all_165_3_73, all_169_3_91 and discharging atoms sdtpldt0(all_0_4_4, all_0_3_3) = all_169_3_91, sdtpldt0(all_0_4_4, all_0_3_3) = all_165_3_73, yields:
% 67.38/24.53 | (583) all_169_3_91 = all_165_3_73
% 67.38/24.53 |
% 67.38/24.53 | Instantiating formula (31) with all_0_4_4, all_0_3_3, all_165_3_73, all_167_3_82 and discharging atoms sdtpldt0(all_0_4_4, all_0_3_3) = all_167_3_82, sdtpldt0(all_0_4_4, all_0_3_3) = all_165_3_73, yields:
% 67.38/24.53 | (584) all_167_3_82 = all_165_3_73
% 67.38/24.53 |
% 67.38/24.53 | Instantiating formula (31) with all_0_4_4, all_0_3_3, all_163_3_64, all_169_3_91 and discharging atoms sdtpldt0(all_0_4_4, all_0_3_3) = all_169_3_91, sdtpldt0(all_0_4_4, all_0_3_3) = all_163_3_64, yields:
% 67.38/24.53 | (585) all_169_3_91 = all_163_3_64
% 67.38/24.53 |
% 67.38/24.53 | Combining equations (583,585) yields a new equation:
% 67.38/24.53 | (586) all_165_3_73 = all_163_3_64
% 67.38/24.54 |
% 67.38/24.54 | Simplifying 586 yields:
% 67.38/24.54 | (587) all_165_3_73 = all_163_3_64
% 67.38/24.54 |
% 67.38/24.54 | Combining equations (584,582) yields a new equation:
% 67.38/24.54 | (588) all_165_3_73 = all_0_1_1
% 67.38/24.54 |
% 67.38/24.54 | Simplifying 588 yields:
% 67.38/24.54 | (589) all_165_3_73 = all_0_1_1
% 67.38/24.54 |
% 67.38/24.54 | Combining equations (589,587) yields a new equation:
% 67.38/24.54 | (590) all_163_3_64 = all_0_1_1
% 67.38/24.54 |
% 67.38/24.54 | Combining equations (590,587) yields a new equation:
% 67.38/24.54 | (589) all_165_3_73 = all_0_1_1
% 67.38/24.54 |
% 67.38/24.54 | From (589) and (279) follows:
% 67.38/24.54 | (592) sdtasdt0(all_165_5_75, xc) = all_0_1_1
% 67.38/24.54 |
% 67.38/24.54 | Instantiating formula (45) with all_0_1_1, xc, all_165_5_75 and discharging atoms sdtasdt0(all_165_5_75, xc) = all_0_1_1, yields:
% 67.38/24.54 | (593) ? [v0] : ? [v1] : ? [v2] : (sdtasdt0(xc, all_165_5_75) = v2 & aElement0(all_165_5_75) = v0 & aElement0(xc) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_0_1_1))
% 67.38/24.54 |
% 67.38/24.54 | Instantiating formula (3) with all_0_1_1, xc, all_165_5_75 and discharging atoms sdtasdt0(all_165_5_75, xc) = all_0_1_1, yields:
% 67.38/24.54 | (594) ? [v0] : ? [v1] : ? [v2] : (aElement0(all_165_5_75) = v0 & aElement0(all_0_1_1) = v2 & aElement0(xc) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 67.38/24.54 |
% 67.38/24.54 | Instantiating formula (27) with all_175_5_120, all_0_0_0, all_0_1_1, 0, all_0_6_6, xc and discharging atoms slsdtgt0(xc) = all_0_6_6, aSet0(all_0_6_6) = 0, aElementOf0(all_0_1_1, all_0_6_6) = all_0_0_0, sdtasdt0(xc, all_175_5_120) = all_0_1_1, yields:
% 67.38/24.54 | (595) all_0_0_0 = 0 | ? [v0] : (( ~ (v0 = 0) & aElement0(all_175_5_120) = v0) | ( ~ (v0 = 0) & aElement0(xc) = v0))
% 67.38/24.54 |
% 67.38/24.54 | Instantiating formula (56) with all_173_5_111, all_0_0_0, all_0_1_1 and discharging atoms aElementOf0(all_0_1_1, all_0_6_6) = all_0_0_0, sdtasdt0(xc, all_173_5_111) = all_0_1_1, yields:
% 67.38/24.54 | (596) all_0_0_0 = 0 | ? [v0] : ( ~ (v0 = 0) & aElement0(all_173_5_111) = v0)
% 67.38/24.54 |
% 67.38/24.54 | Instantiating formula (27) with all_169_5_93, all_0_0_0, all_0_1_1, 0, all_0_6_6, xc and discharging atoms slsdtgt0(xc) = all_0_6_6, aSet0(all_0_6_6) = 0, aElementOf0(all_0_1_1, all_0_6_6) = all_0_0_0, sdtasdt0(xc, all_169_5_93) = all_0_1_1, yields:
% 67.38/24.54 | (597) all_0_0_0 = 0 | ? [v0] : (( ~ (v0 = 0) & aElement0(all_169_5_93) = v0) | ( ~ (v0 = 0) & aElement0(xc) = v0))
% 67.38/24.54 |
% 67.38/24.54 | Instantiating formula (27) with all_167_5_84, all_0_0_0, all_0_1_1, 0, all_0_6_6, xc and discharging atoms slsdtgt0(xc) = all_0_6_6, aSet0(all_0_6_6) = 0, aElementOf0(all_0_1_1, all_0_6_6) = all_0_0_0, sdtasdt0(xc, all_167_5_84) = all_0_1_1, yields:
% 67.38/24.54 | (598) all_0_0_0 = 0 | ? [v0] : (( ~ (v0 = 0) & aElement0(all_167_5_84) = v0) | ( ~ (v0 = 0) & aElement0(xc) = v0))
% 67.38/24.54 |
% 67.38/24.54 | Instantiating formula (56) with all_165_5_75, all_0_0_0, all_0_1_1 and discharging atoms aElementOf0(all_0_1_1, all_0_6_6) = all_0_0_0, sdtasdt0(xc, all_165_5_75) = all_0_1_1, yields:
% 67.38/24.54 | (599) all_0_0_0 = 0 | ? [v0] : ( ~ (v0 = 0) & aElement0(all_165_5_75) = v0)
% 67.38/24.54 |
% 67.38/24.54 | Instantiating formula (45) with all_0_1_1, all_165_5_75, xc and discharging atoms sdtasdt0(xc, all_165_5_75) = all_0_1_1, yields:
% 67.38/24.54 | (600) ? [v0] : ? [v1] : ? [v2] : (sdtasdt0(all_165_5_75, xc) = v2 & aElement0(all_165_5_75) = v1 & aElement0(xc) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_0_1_1))
% 67.38/24.54 |
% 67.38/24.54 | Instantiating formula (3) with all_0_1_1, all_165_5_75, xc and discharging atoms sdtasdt0(xc, all_165_5_75) = all_0_1_1, yields:
% 67.38/24.54 | (601) ? [v0] : ? [v1] : ? [v2] : (aElement0(all_165_5_75) = v1 & aElement0(all_0_1_1) = v2 & aElement0(xc) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 67.38/24.54 |
% 67.38/24.54 | Instantiating formula (56) with all_163_5_66, all_0_0_0, all_0_1_1 and discharging atoms aElementOf0(all_0_1_1, all_0_6_6) = all_0_0_0, sdtasdt0(xc, all_163_5_66) = all_0_1_1, yields:
% 67.38/24.54 | (602) all_0_0_0 = 0 | ? [v0] : ( ~ (v0 = 0) & aElement0(all_163_5_66) = v0)
% 67.38/24.54 |
% 67.38/24.54 | Instantiating formula (8) with all_175_5_120, all_12_0_13, all_119_2_45 and discharging atoms sdtpldt0(all_119_2_45, all_12_0_13) = all_175_5_120, yields:
% 67.38/24.54 | (603) ? [v0] : ? [v1] : ? [v2] : (sdtpldt0(all_12_0_13, all_119_2_45) = v2 & aElement0(all_119_2_45) = v0 & aElement0(all_12_0_13) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_175_5_120))
% 67.38/24.54 |
% 67.38/24.54 | Instantiating formula (75) with all_175_5_120, all_12_0_13, all_119_2_45 and discharging atoms sdtpldt0(all_119_2_45, all_12_0_13) = all_175_5_120, yields:
% 67.38/24.54 | (604) ? [v0] : ? [v1] : ? [v2] : (aElement0(all_175_5_120) = v2 & aElement0(all_119_2_45) = v0 & aElement0(all_12_0_13) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 67.38/24.54 |
% 67.38/24.54 | Instantiating formula (8) with all_171_5_102, all_11_2_12, all_119_2_45 and discharging atoms sdtpldt0(all_119_2_45, all_11_2_12) = all_171_5_102, yields:
% 67.38/24.54 | (605) ? [v0] : ? [v1] : ? [v2] : (sdtpldt0(all_11_2_12, all_119_2_45) = v2 & aElement0(all_119_2_45) = v0 & aElement0(all_11_2_12) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_171_5_102))
% 67.38/24.54 |
% 67.38/24.54 | Instantiating formula (75) with all_171_5_102, all_11_2_12, all_119_2_45 and discharging atoms sdtpldt0(all_119_2_45, all_11_2_12) = all_171_5_102, yields:
% 67.38/24.54 | (606) ? [v0] : ? [v1] : ? [v2] : (aElement0(all_171_5_102) = v2 & aElement0(all_119_2_45) = v0 & aElement0(all_11_2_12) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 67.38/24.54 |
% 67.38/24.54 | Instantiating formula (8) with all_165_5_75, all_119_2_45, all_12_0_13 and discharging atoms sdtpldt0(all_12_0_13, all_119_2_45) = all_165_5_75, yields:
% 67.38/24.54 | (607) ? [v0] : ? [v1] : ? [v2] : (sdtpldt0(all_119_2_45, all_12_0_13) = v2 & aElement0(all_119_2_45) = v1 & aElement0(all_12_0_13) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_165_5_75))
% 67.38/24.54 |
% 67.38/24.55 | Instantiating formula (75) with all_165_5_75, all_119_2_45, all_12_0_13 and discharging atoms sdtpldt0(all_12_0_13, all_119_2_45) = all_165_5_75, yields:
% 67.38/24.55 | (608) ? [v0] : ? [v1] : ? [v2] : (aElement0(all_165_5_75) = v2 & aElement0(all_119_2_45) = v1 & aElement0(all_12_0_13) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 67.38/24.55 |
% 67.38/24.55 | Instantiating formula (8) with all_163_5_66, all_119_2_45, all_11_2_12 and discharging atoms sdtpldt0(all_11_2_12, all_119_2_45) = all_163_5_66, yields:
% 67.38/24.55 | (609) ? [v0] : ? [v1] : ? [v2] : (sdtpldt0(all_119_2_45, all_11_2_12) = v2 & aElement0(all_119_2_45) = v1 & aElement0(all_11_2_12) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_163_5_66))
% 67.38/24.55 |
% 67.38/24.55 | Instantiating formula (75) with all_163_5_66, all_119_2_45, all_11_2_12 and discharging atoms sdtpldt0(all_11_2_12, all_119_2_45) = all_163_5_66, yields:
% 67.38/24.55 | (610) ? [v0] : ? [v1] : ? [v2] : (aElement0(all_163_5_66) = v2 & aElement0(all_119_2_45) = v1 & aElement0(all_11_2_12) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 67.38/24.55 |
% 67.38/24.55 | Instantiating (601) with all_579_0_139, all_579_1_140, all_579_2_141 yields:
% 67.38/24.55 | (611) aElement0(all_165_5_75) = all_579_1_140 & aElement0(all_0_1_1) = all_579_0_139 & aElement0(xc) = all_579_2_141 & ( ~ (all_579_1_140 = 0) | ~ (all_579_2_141 = 0) | all_579_0_139 = 0)
% 67.38/24.55 |
% 67.38/24.55 | Applying alpha-rule on (611) yields:
% 67.38/24.55 | (612) aElement0(all_165_5_75) = all_579_1_140
% 67.38/24.55 | (613) aElement0(all_0_1_1) = all_579_0_139
% 67.38/24.55 | (614) aElement0(xc) = all_579_2_141
% 67.38/24.55 | (615) ~ (all_579_1_140 = 0) | ~ (all_579_2_141 = 0) | all_579_0_139 = 0
% 67.38/24.55 |
% 67.38/24.55 | Instantiating (600) with all_581_0_142, all_581_1_143, all_581_2_144 yields:
% 67.38/24.55 | (616) sdtasdt0(all_165_5_75, xc) = all_581_0_142 & aElement0(all_165_5_75) = all_581_1_143 & aElement0(xc) = all_581_2_144 & ( ~ (all_581_1_143 = 0) | ~ (all_581_2_144 = 0) | all_581_0_142 = all_0_1_1)
% 67.38/24.55 |
% 67.38/24.55 | Applying alpha-rule on (616) yields:
% 67.38/24.55 | (617) sdtasdt0(all_165_5_75, xc) = all_581_0_142
% 67.38/24.55 | (618) aElement0(all_165_5_75) = all_581_1_143
% 67.38/24.55 | (619) aElement0(xc) = all_581_2_144
% 67.38/24.55 | (620) ~ (all_581_1_143 = 0) | ~ (all_581_2_144 = 0) | all_581_0_142 = all_0_1_1
% 67.38/24.55 |
% 67.38/24.55 | Instantiating (594) with all_592_0_160, all_592_1_161, all_592_2_162 yields:
% 67.38/24.55 | (621) aElement0(all_165_5_75) = all_592_2_162 & aElement0(all_0_1_1) = all_592_0_160 & aElement0(xc) = all_592_1_161 & ( ~ (all_592_1_161 = 0) | ~ (all_592_2_162 = 0) | all_592_0_160 = 0)
% 67.38/24.55 |
% 67.38/24.55 | Applying alpha-rule on (621) yields:
% 67.38/24.55 | (622) aElement0(all_165_5_75) = all_592_2_162
% 67.38/24.55 | (623) aElement0(all_0_1_1) = all_592_0_160
% 67.38/24.55 | (624) aElement0(xc) = all_592_1_161
% 67.38/24.55 | (625) ~ (all_592_1_161 = 0) | ~ (all_592_2_162 = 0) | all_592_0_160 = 0
% 67.38/24.55 |
% 67.38/24.55 | Instantiating (593) with all_598_0_169, all_598_1_170, all_598_2_171 yields:
% 67.38/24.55 | (626) sdtasdt0(xc, all_165_5_75) = all_598_0_169 & aElement0(all_165_5_75) = all_598_2_171 & aElement0(xc) = all_598_1_170 & ( ~ (all_598_1_170 = 0) | ~ (all_598_2_171 = 0) | all_598_0_169 = all_0_1_1)
% 67.38/24.55 |
% 67.38/24.55 | Applying alpha-rule on (626) yields:
% 67.38/24.55 | (627) sdtasdt0(xc, all_165_5_75) = all_598_0_169
% 67.38/24.55 | (628) aElement0(all_165_5_75) = all_598_2_171
% 67.38/24.55 | (629) aElement0(xc) = all_598_1_170
% 67.38/24.55 | (630) ~ (all_598_1_170 = 0) | ~ (all_598_2_171 = 0) | all_598_0_169 = all_0_1_1
% 67.38/24.55 |
% 67.38/24.55 | Instantiating (610) with all_604_0_178, all_604_1_179, all_604_2_180 yields:
% 67.38/24.55 | (631) aElement0(all_163_5_66) = all_604_0_178 & aElement0(all_119_2_45) = all_604_1_179 & aElement0(all_11_2_12) = all_604_2_180 & ( ~ (all_604_1_179 = 0) | ~ (all_604_2_180 = 0) | all_604_0_178 = 0)
% 67.38/24.55 |
% 67.38/24.55 | Applying alpha-rule on (631) yields:
% 67.38/24.55 | (632) aElement0(all_163_5_66) = all_604_0_178
% 67.38/24.55 | (633) aElement0(all_119_2_45) = all_604_1_179
% 67.38/24.56 | (634) aElement0(all_11_2_12) = all_604_2_180
% 67.38/24.56 | (635) ~ (all_604_1_179 = 0) | ~ (all_604_2_180 = 0) | all_604_0_178 = 0
% 67.38/24.56 |
% 67.38/24.56 | Instantiating (609) with all_606_0_181, all_606_1_182, all_606_2_183 yields:
% 67.38/24.56 | (636) sdtpldt0(all_119_2_45, all_11_2_12) = all_606_0_181 & aElement0(all_119_2_45) = all_606_1_182 & aElement0(all_11_2_12) = all_606_2_183 & ( ~ (all_606_1_182 = 0) | ~ (all_606_2_183 = 0) | all_606_0_181 = all_163_5_66)
% 67.38/24.56 |
% 67.38/24.56 | Applying alpha-rule on (636) yields:
% 67.38/24.56 | (637) sdtpldt0(all_119_2_45, all_11_2_12) = all_606_0_181
% 67.38/24.56 | (638) aElement0(all_119_2_45) = all_606_1_182
% 67.38/24.56 | (639) aElement0(all_11_2_12) = all_606_2_183
% 67.38/24.56 | (640) ~ (all_606_1_182 = 0) | ~ (all_606_2_183 = 0) | all_606_0_181 = all_163_5_66
% 67.38/24.56 |
% 67.38/24.56 | Instantiating (604) with all_634_0_223, all_634_1_224, all_634_2_225 yields:
% 67.38/24.56 | (641) aElement0(all_175_5_120) = all_634_0_223 & aElement0(all_119_2_45) = all_634_2_225 & aElement0(all_12_0_13) = all_634_1_224 & ( ~ (all_634_1_224 = 0) | ~ (all_634_2_225 = 0) | all_634_0_223 = 0)
% 67.38/24.56 |
% 67.38/24.56 | Applying alpha-rule on (641) yields:
% 67.38/24.56 | (642) aElement0(all_175_5_120) = all_634_0_223
% 67.38/24.56 | (643) aElement0(all_119_2_45) = all_634_2_225
% 67.38/24.56 | (644) aElement0(all_12_0_13) = all_634_1_224
% 67.38/24.56 | (645) ~ (all_634_1_224 = 0) | ~ (all_634_2_225 = 0) | all_634_0_223 = 0
% 67.38/24.56 |
% 67.38/24.56 | Instantiating (608) with all_642_0_235, all_642_1_236, all_642_2_237 yields:
% 67.38/24.56 | (646) aElement0(all_165_5_75) = all_642_0_235 & aElement0(all_119_2_45) = all_642_1_236 & aElement0(all_12_0_13) = all_642_2_237 & ( ~ (all_642_1_236 = 0) | ~ (all_642_2_237 = 0) | all_642_0_235 = 0)
% 67.38/24.56 |
% 67.38/24.56 | Applying alpha-rule on (646) yields:
% 67.38/24.56 | (647) aElement0(all_165_5_75) = all_642_0_235
% 67.38/24.56 | (648) aElement0(all_119_2_45) = all_642_1_236
% 67.38/24.56 | (649) aElement0(all_12_0_13) = all_642_2_237
% 67.38/24.56 | (650) ~ (all_642_1_236 = 0) | ~ (all_642_2_237 = 0) | all_642_0_235 = 0
% 67.38/24.56 |
% 67.38/24.56 | Instantiating (607) with all_644_0_238, all_644_1_239, all_644_2_240 yields:
% 67.38/24.56 | (651) sdtpldt0(all_119_2_45, all_12_0_13) = all_644_0_238 & aElement0(all_119_2_45) = all_644_1_239 & aElement0(all_12_0_13) = all_644_2_240 & ( ~ (all_644_1_239 = 0) | ~ (all_644_2_240 = 0) | all_644_0_238 = all_165_5_75)
% 67.58/24.56 |
% 67.58/24.56 | Applying alpha-rule on (651) yields:
% 67.58/24.56 | (652) sdtpldt0(all_119_2_45, all_12_0_13) = all_644_0_238
% 67.58/24.56 | (653) aElement0(all_119_2_45) = all_644_1_239
% 67.58/24.56 | (654) aElement0(all_12_0_13) = all_644_2_240
% 67.58/24.56 | (655) ~ (all_644_1_239 = 0) | ~ (all_644_2_240 = 0) | all_644_0_238 = all_165_5_75
% 67.58/24.56 |
% 67.58/24.56 | Instantiating (603) with all_656_0_254, all_656_1_255, all_656_2_256 yields:
% 67.58/24.56 | (656) sdtpldt0(all_12_0_13, all_119_2_45) = all_656_0_254 & aElement0(all_119_2_45) = all_656_2_256 & aElement0(all_12_0_13) = all_656_1_255 & ( ~ (all_656_1_255 = 0) | ~ (all_656_2_256 = 0) | all_656_0_254 = all_175_5_120)
% 67.58/24.56 |
% 67.58/24.56 | Applying alpha-rule on (656) yields:
% 67.58/24.56 | (657) sdtpldt0(all_12_0_13, all_119_2_45) = all_656_0_254
% 67.58/24.56 | (658) aElement0(all_119_2_45) = all_656_2_256
% 67.58/24.56 | (659) aElement0(all_12_0_13) = all_656_1_255
% 67.58/24.56 | (660) ~ (all_656_1_255 = 0) | ~ (all_656_2_256 = 0) | all_656_0_254 = all_175_5_120
% 67.58/24.56 |
% 67.58/24.56 | Instantiating (606) with all_664_0_266, all_664_1_267, all_664_2_268 yields:
% 67.58/24.56 | (661) aElement0(all_171_5_102) = all_664_0_266 & aElement0(all_119_2_45) = all_664_2_268 & aElement0(all_11_2_12) = all_664_1_267 & ( ~ (all_664_1_267 = 0) | ~ (all_664_2_268 = 0) | all_664_0_266 = 0)
% 67.58/24.56 |
% 67.58/24.56 | Applying alpha-rule on (661) yields:
% 67.58/24.56 | (662) aElement0(all_171_5_102) = all_664_0_266
% 67.58/24.56 | (663) aElement0(all_119_2_45) = all_664_2_268
% 67.58/24.56 | (664) aElement0(all_11_2_12) = all_664_1_267
% 67.58/24.56 | (665) ~ (all_664_1_267 = 0) | ~ (all_664_2_268 = 0) | all_664_0_266 = 0
% 67.58/24.56 |
% 67.58/24.56 | Instantiating (605) with all_670_0_275, all_670_1_276, all_670_2_277 yields:
% 67.58/24.56 | (666) sdtpldt0(all_11_2_12, all_119_2_45) = all_670_0_275 & aElement0(all_119_2_45) = all_670_2_277 & aElement0(all_11_2_12) = all_670_1_276 & ( ~ (all_670_1_276 = 0) | ~ (all_670_2_277 = 0) | all_670_0_275 = all_171_5_102)
% 67.58/24.56 |
% 67.58/24.56 | Applying alpha-rule on (666) yields:
% 67.58/24.56 | (667) sdtpldt0(all_11_2_12, all_119_2_45) = all_670_0_275
% 67.58/24.56 | (668) aElement0(all_119_2_45) = all_670_2_277
% 67.58/24.56 | (669) aElement0(all_11_2_12) = all_670_1_276
% 67.58/24.56 | (670) ~ (all_670_1_276 = 0) | ~ (all_670_2_277 = 0) | all_670_0_275 = all_171_5_102
% 67.58/24.56 |
% 67.58/24.56 +-Applying beta-rule and splitting (602), into two cases.
% 67.58/24.56 |-Branch one:
% 67.58/24.56 | (671) all_0_0_0 = 0
% 67.58/24.56 |
% 67.58/24.56 | Equations (671) can reduce 198 to:
% 67.58/24.56 | (98) $false
% 67.58/24.56 |
% 67.58/24.56 |-The branch is then unsatisfiable
% 67.58/24.56 |-Branch two:
% 67.58/24.56 | (198) ~ (all_0_0_0 = 0)
% 67.58/24.56 | (674) ? [v0] : ( ~ (v0 = 0) & aElement0(all_163_5_66) = v0)
% 67.58/24.56 |
% 67.58/24.56 +-Applying beta-rule and splitting (596), into two cases.
% 67.58/24.56 |-Branch one:
% 67.58/24.56 | (671) all_0_0_0 = 0
% 67.58/24.56 |
% 67.58/24.56 | Equations (671) can reduce 198 to:
% 67.58/24.56 | (98) $false
% 67.58/24.56 |
% 67.58/24.56 |-The branch is then unsatisfiable
% 67.58/24.56 |-Branch two:
% 67.58/24.56 | (198) ~ (all_0_0_0 = 0)
% 67.58/24.56 | (678) ? [v0] : ( ~ (v0 = 0) & aElement0(all_173_5_111) = v0)
% 67.58/24.56 |
% 67.58/24.57 +-Applying beta-rule and splitting (597), into two cases.
% 67.58/24.57 |-Branch one:
% 67.58/24.57 | (671) all_0_0_0 = 0
% 67.58/24.57 |
% 67.58/24.57 | Equations (671) can reduce 198 to:
% 67.58/24.57 | (98) $false
% 67.58/24.57 |
% 67.58/24.57 |-The branch is then unsatisfiable
% 67.58/24.57 |-Branch two:
% 67.58/24.57 | (198) ~ (all_0_0_0 = 0)
% 67.58/24.57 | (682) ? [v0] : (( ~ (v0 = 0) & aElement0(all_169_5_93) = v0) | ( ~ (v0 = 0) & aElement0(xc) = v0))
% 67.58/24.57 |
% 67.58/24.57 +-Applying beta-rule and splitting (598), into two cases.
% 67.58/24.57 |-Branch one:
% 67.58/24.57 | (671) all_0_0_0 = 0
% 67.58/24.57 |
% 67.58/24.57 | Equations (671) can reduce 198 to:
% 67.58/24.57 | (98) $false
% 67.58/24.57 |
% 67.58/24.57 |-The branch is then unsatisfiable
% 67.58/24.57 |-Branch two:
% 67.58/24.57 | (198) ~ (all_0_0_0 = 0)
% 67.58/24.57 | (686) ? [v0] : (( ~ (v0 = 0) & aElement0(all_167_5_84) = v0) | ( ~ (v0 = 0) & aElement0(xc) = v0))
% 67.58/24.57 |
% 67.58/24.57 +-Applying beta-rule and splitting (595), into two cases.
% 67.58/24.57 |-Branch one:
% 67.58/24.57 | (671) all_0_0_0 = 0
% 67.58/24.57 |
% 67.58/24.57 | Equations (671) can reduce 198 to:
% 67.58/24.57 | (98) $false
% 67.58/24.57 |
% 67.58/24.57 |-The branch is then unsatisfiable
% 67.58/24.57 |-Branch two:
% 67.58/24.57 | (198) ~ (all_0_0_0 = 0)
% 67.58/24.57 | (690) ? [v0] : (( ~ (v0 = 0) & aElement0(all_175_5_120) = v0) | ( ~ (v0 = 0) & aElement0(xc) = v0))
% 67.58/24.57 |
% 67.58/24.57 +-Applying beta-rule and splitting (599), into two cases.
% 67.58/24.57 |-Branch one:
% 67.58/24.57 | (671) all_0_0_0 = 0
% 67.58/24.57 |
% 67.58/24.57 | Equations (671) can reduce 198 to:
% 67.58/24.57 | (98) $false
% 67.58/24.57 |
% 67.58/24.57 |-The branch is then unsatisfiable
% 67.58/24.57 |-Branch two:
% 67.58/24.57 | (198) ~ (all_0_0_0 = 0)
% 67.58/24.57 | (694) ? [v0] : ( ~ (v0 = 0) & aElement0(all_165_5_75) = v0)
% 67.58/24.57 |
% 67.58/24.57 | Instantiating (694) with all_700_0_283 yields:
% 67.58/24.57 | (695) ~ (all_700_0_283 = 0) & aElement0(all_165_5_75) = all_700_0_283
% 67.58/24.57 |
% 67.58/24.57 | Applying alpha-rule on (695) yields:
% 67.58/24.57 | (696) ~ (all_700_0_283 = 0)
% 67.58/24.57 | (697) aElement0(all_165_5_75) = all_700_0_283
% 67.58/24.57 |
% 67.58/24.57 | Instantiating formula (55) with all_165_5_75, all_642_0_235, all_700_0_283 and discharging atoms aElement0(all_165_5_75) = all_700_0_283, aElement0(all_165_5_75) = all_642_0_235, yields:
% 67.58/24.57 | (698) all_700_0_283 = all_642_0_235
% 67.58/24.57 |
% 67.58/24.57 | Instantiating formula (55) with all_165_5_75, all_598_2_171, all_700_0_283 and discharging atoms aElement0(all_165_5_75) = all_700_0_283, aElement0(all_165_5_75) = all_598_2_171, yields:
% 67.58/24.57 | (699) all_700_0_283 = all_598_2_171
% 67.58/24.57 |
% 67.58/24.57 | Instantiating formula (55) with all_165_5_75, all_592_2_162, all_642_0_235 and discharging atoms aElement0(all_165_5_75) = all_642_0_235, aElement0(all_165_5_75) = all_592_2_162, yields:
% 67.58/24.57 | (700) all_642_0_235 = all_592_2_162
% 67.58/24.57 |
% 67.58/24.57 | Instantiating formula (55) with all_165_5_75, all_581_1_143, all_642_0_235 and discharging atoms aElement0(all_165_5_75) = all_642_0_235, aElement0(all_165_5_75) = all_581_1_143, yields:
% 67.58/24.57 | (701) all_642_0_235 = all_581_1_143
% 67.58/24.57 |
% 67.58/24.57 | Instantiating formula (55) with all_165_5_75, all_579_1_140, all_642_0_235 and discharging atoms aElement0(all_165_5_75) = all_642_0_235, aElement0(all_165_5_75) = all_579_1_140, yields:
% 67.58/24.57 | (702) all_642_0_235 = all_579_1_140
% 67.58/24.57 |
% 67.58/24.57 | Instantiating formula (55) with all_119_2_45, all_664_2_268, all_670_2_277 and discharging atoms aElement0(all_119_2_45) = all_670_2_277, aElement0(all_119_2_45) = all_664_2_268, yields:
% 67.58/24.57 | (703) all_670_2_277 = all_664_2_268
% 67.58/24.57 |
% 67.58/24.57 | Instantiating formula (55) with all_119_2_45, all_656_2_256, all_664_2_268 and discharging atoms aElement0(all_119_2_45) = all_664_2_268, aElement0(all_119_2_45) = all_656_2_256, yields:
% 67.58/24.57 | (704) all_664_2_268 = all_656_2_256
% 67.58/24.57 |
% 67.58/24.57 | Instantiating formula (55) with all_119_2_45, all_644_1_239, all_656_2_256 and discharging atoms aElement0(all_119_2_45) = all_656_2_256, aElement0(all_119_2_45) = all_644_1_239, yields:
% 67.58/24.57 | (705) all_656_2_256 = all_644_1_239
% 67.58/24.57 |
% 67.58/24.57 | Instantiating formula (55) with all_119_2_45, all_642_1_236, all_670_2_277 and discharging atoms aElement0(all_119_2_45) = all_670_2_277, aElement0(all_119_2_45) = all_642_1_236, yields:
% 67.58/24.57 | (706) all_670_2_277 = all_642_1_236
% 67.58/24.57 |
% 67.58/24.57 | Instantiating formula (55) with all_119_2_45, all_634_2_225, all_644_1_239 and discharging atoms aElement0(all_119_2_45) = all_644_1_239, aElement0(all_119_2_45) = all_634_2_225, yields:
% 67.58/24.57 | (707) all_644_1_239 = all_634_2_225
% 67.58/24.57 |
% 67.58/24.57 | Instantiating formula (55) with all_119_2_45, all_606_1_182, 0 and discharging atoms aElement0(all_119_2_45) = all_606_1_182, aElement0(all_119_2_45) = 0, yields:
% 67.58/24.57 | (708) all_606_1_182 = 0
% 67.58/24.57 |
% 67.58/24.57 | Instantiating formula (55) with all_119_2_45, all_606_1_182, all_644_1_239 and discharging atoms aElement0(all_119_2_45) = all_644_1_239, aElement0(all_119_2_45) = all_606_1_182, yields:
% 67.58/24.57 | (709) all_644_1_239 = all_606_1_182
% 67.58/24.57 |
% 67.58/24.57 | Instantiating formula (55) with all_119_2_45, all_604_1_179, all_644_1_239 and discharging atoms aElement0(all_119_2_45) = all_644_1_239, aElement0(all_119_2_45) = all_604_1_179, yields:
% 67.58/24.57 | (710) all_644_1_239 = all_604_1_179
% 67.58/24.57 |
% 67.58/24.57 | Instantiating formula (55) with all_12_0_13, all_642_2_237, 0 and discharging atoms aElement0(all_12_0_13) = all_642_2_237, aElement0(all_12_0_13) = 0, yields:
% 67.58/24.57 | (711) all_642_2_237 = 0
% 67.58/24.57 |
% 67.58/24.57 | Combining equations (698,699) yields a new equation:
% 67.58/24.57 | (712) all_642_0_235 = all_598_2_171
% 67.58/24.57 |
% 67.58/24.57 | Simplifying 712 yields:
% 67.58/24.57 | (713) all_642_0_235 = all_598_2_171
% 67.58/24.57 |
% 67.58/24.57 | Combining equations (703,706) yields a new equation:
% 67.58/24.57 | (714) all_664_2_268 = all_642_1_236
% 67.58/24.57 |
% 67.58/24.57 | Simplifying 714 yields:
% 67.58/24.57 | (715) all_664_2_268 = all_642_1_236
% 67.58/24.57 |
% 67.58/24.57 | Combining equations (704,715) yields a new equation:
% 67.58/24.57 | (716) all_656_2_256 = all_642_1_236
% 67.58/24.57 |
% 67.58/24.57 | Simplifying 716 yields:
% 67.58/24.57 | (717) all_656_2_256 = all_642_1_236
% 67.58/24.57 |
% 67.58/24.58 | Combining equations (705,717) yields a new equation:
% 67.58/24.58 | (718) all_644_1_239 = all_642_1_236
% 67.58/24.58 |
% 67.58/24.58 | Simplifying 718 yields:
% 67.58/24.58 | (719) all_644_1_239 = all_642_1_236
% 67.58/24.58 |
% 67.58/24.58 | Combining equations (707,719) yields a new equation:
% 67.58/24.58 | (720) all_642_1_236 = all_634_2_225
% 67.58/24.58 |
% 67.58/24.58 | Combining equations (709,719) yields a new equation:
% 67.58/24.58 | (721) all_642_1_236 = all_606_1_182
% 67.58/24.58 |
% 67.58/24.58 | Combining equations (710,719) yields a new equation:
% 67.58/24.58 | (722) all_642_1_236 = all_604_1_179
% 67.58/24.58 |
% 67.58/24.58 | Combining equations (700,713) yields a new equation:
% 67.58/24.58 | (723) all_598_2_171 = all_592_2_162
% 67.58/24.58 |
% 67.58/24.58 | Combining equations (702,713) yields a new equation:
% 67.58/24.58 | (724) all_598_2_171 = all_579_1_140
% 67.58/24.58 |
% 67.58/24.58 | Combining equations (701,713) yields a new equation:
% 67.58/24.58 | (725) all_598_2_171 = all_581_1_143
% 67.58/24.58 |
% 67.58/24.58 | Combining equations (721,720) yields a new equation:
% 67.58/24.58 | (726) all_634_2_225 = all_606_1_182
% 67.58/24.58 |
% 67.58/24.58 | Combining equations (722,720) yields a new equation:
% 67.58/24.58 | (727) all_634_2_225 = all_604_1_179
% 67.58/24.58 |
% 67.58/24.58 | Combining equations (726,727) yields a new equation:
% 67.58/24.58 | (728) all_606_1_182 = all_604_1_179
% 67.58/24.58 |
% 67.58/24.58 | Simplifying 728 yields:
% 67.58/24.58 | (729) all_606_1_182 = all_604_1_179
% 67.58/24.58 |
% 67.58/24.58 | Combining equations (708,729) yields a new equation:
% 67.58/24.58 | (730) all_604_1_179 = 0
% 67.58/24.58 |
% 67.58/24.58 | Combining equations (725,723) yields a new equation:
% 67.58/24.58 | (731) all_592_2_162 = all_581_1_143
% 67.58/24.58 |
% 67.58/24.58 | Combining equations (724,723) yields a new equation:
% 67.58/24.58 | (732) all_592_2_162 = all_579_1_140
% 67.58/24.58 |
% 67.58/24.58 | Combining equations (732,731) yields a new equation:
% 67.58/24.58 | (733) all_581_1_143 = all_579_1_140
% 67.58/24.58 |
% 67.58/24.58 | Combining equations (733,731) yields a new equation:
% 67.58/24.58 | (732) all_592_2_162 = all_579_1_140
% 67.58/24.58 |
% 67.58/24.58 | Combining equations (732,723) yields a new equation:
% 67.58/24.58 | (724) all_598_2_171 = all_579_1_140
% 67.58/24.58 |
% 67.58/24.58 | Combining equations (730,727) yields a new equation:
% 67.58/24.58 | (736) all_634_2_225 = 0
% 67.58/24.58 |
% 67.58/24.58 | Combining equations (736,720) yields a new equation:
% 67.58/24.58 | (737) all_642_1_236 = 0
% 67.58/24.58 |
% 67.58/24.58 | Combining equations (724,713) yields a new equation:
% 67.58/24.58 | (702) all_642_0_235 = all_579_1_140
% 67.58/24.58 |
% 67.58/24.58 | Combining equations (724,699) yields a new equation:
% 67.58/24.58 | (739) all_700_0_283 = all_579_1_140
% 67.58/24.58 |
% 67.58/24.58 | Equations (739) can reduce 696 to:
% 67.58/24.58 | (740) ~ (all_579_1_140 = 0)
% 67.58/24.58 |
% 67.58/24.58 +-Applying beta-rule and splitting (650), into two cases.
% 67.58/24.58 |-Branch one:
% 67.58/24.58 | (741) ~ (all_642_1_236 = 0)
% 67.58/24.58 |
% 67.58/24.58 | Equations (737) can reduce 741 to:
% 67.58/24.58 | (98) $false
% 67.58/24.58 |
% 67.58/24.58 |-The branch is then unsatisfiable
% 67.58/24.58 |-Branch two:
% 67.58/24.58 | (737) all_642_1_236 = 0
% 67.58/24.58 | (744) ~ (all_642_2_237 = 0) | all_642_0_235 = 0
% 67.58/24.58 |
% 67.58/24.58 +-Applying beta-rule and splitting (744), into two cases.
% 67.58/24.58 |-Branch one:
% 67.58/24.58 | (745) ~ (all_642_2_237 = 0)
% 67.58/24.58 |
% 67.58/24.58 | Equations (711) can reduce 745 to:
% 67.58/24.58 | (98) $false
% 67.58/24.58 |
% 67.58/24.58 |-The branch is then unsatisfiable
% 67.58/24.58 |-Branch two:
% 67.58/24.58 | (711) all_642_2_237 = 0
% 67.58/24.58 | (748) all_642_0_235 = 0
% 67.58/24.58 |
% 67.58/24.58 | Combining equations (748,702) yields a new equation:
% 67.58/24.58 | (749) all_579_1_140 = 0
% 67.58/24.58 |
% 67.58/24.58 | Equations (749) can reduce 740 to:
% 67.58/24.58 | (98) $false
% 67.58/24.58 |
% 67.58/24.58 |-The branch is then unsatisfiable
% 67.58/24.59 |-Branch two:
% 67.58/24.59 | (751) ~ (all_119_2_45 = 0) & aElement0(xc) = all_119_2_45
% 67.58/24.59 |
% 67.58/24.59 | Applying alpha-rule on (751) yields:
% 67.58/24.59 | (752) ~ (all_119_2_45 = 0)
% 67.58/24.59 | (753) aElement0(xc) = all_119_2_45
% 67.58/24.59 |
% 67.58/24.59 | Instantiating formula (55) with xc, all_119_2_45, 0 and discharging atoms aElement0(xc) = all_119_2_45, aElement0(xc) = 0, yields:
% 67.58/24.59 | (754) all_119_2_45 = 0
% 67.58/24.59 |
% 67.58/24.59 | Equations (754) can reduce 752 to:
% 67.58/24.59 | (98) $false
% 67.58/24.59 |
% 67.58/24.59 |-The branch is then unsatisfiable
% 67.58/24.59 |-Branch two:
% 67.58/24.59 | (756) all_0_2_2 = 0 & ~ (all_0_0_0 = 0) & aElementOf0(all_0_1_1, all_0_6_6) = all_0_0_0 & sdtasdt0(all_0_3_3, all_0_4_4) = all_0_1_1 & aElement0(all_0_3_3) = 0
% 67.58/24.59 |
% 67.58/24.59 | Applying alpha-rule on (756) yields:
% 67.58/24.59 | (757) sdtasdt0(all_0_3_3, all_0_4_4) = all_0_1_1
% 67.58/24.59 | (198) ~ (all_0_0_0 = 0)
% 67.58/24.59 | (199) all_0_2_2 = 0
% 67.58/24.59 | (200) aElementOf0(all_0_1_1, all_0_6_6) = all_0_0_0
% 67.58/24.59 | (203) aElement0(all_0_3_3) = 0
% 67.58/24.59 |
% 67.58/24.59 | Instantiating formula (45) with all_0_1_1, all_0_4_4, all_0_3_3 and discharging atoms sdtasdt0(all_0_3_3, all_0_4_4) = all_0_1_1, yields:
% 67.58/24.59 | (762) ? [v0] : ? [v1] : ? [v2] : (sdtasdt0(all_0_4_4, all_0_3_3) = v2 & aElement0(all_0_3_3) = v0 & aElement0(all_0_4_4) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_0_1_1))
% 67.58/24.59 |
% 67.58/24.59 | Instantiating formula (3) with all_0_1_1, all_0_4_4, all_0_3_3 and discharging atoms sdtasdt0(all_0_3_3, all_0_4_4) = all_0_1_1, yields:
% 67.58/24.59 | (763) ? [v0] : ? [v1] : ? [v2] : (aElement0(all_0_1_1) = v2 & aElement0(all_0_3_3) = v0 & aElement0(all_0_4_4) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 67.58/24.59 |
% 67.58/24.59 | Instantiating (763) with all_112_0_294, all_112_1_295, all_112_2_296 yields:
% 67.58/24.59 | (764) aElement0(all_0_1_1) = all_112_0_294 & aElement0(all_0_3_3) = all_112_2_296 & aElement0(all_0_4_4) = all_112_1_295 & ( ~ (all_112_1_295 = 0) | ~ (all_112_2_296 = 0) | all_112_0_294 = 0)
% 67.58/24.59 |
% 67.58/24.59 | Applying alpha-rule on (764) yields:
% 67.58/24.59 | (765) aElement0(all_0_1_1) = all_112_0_294
% 67.58/24.59 | (766) aElement0(all_0_3_3) = all_112_2_296
% 67.58/24.59 | (767) aElement0(all_0_4_4) = all_112_1_295
% 67.58/24.59 | (768) ~ (all_112_1_295 = 0) | ~ (all_112_2_296 = 0) | all_112_0_294 = 0
% 67.58/24.59 |
% 67.58/24.59 | Instantiating (762) with all_114_0_297, all_114_1_298, all_114_2_299 yields:
% 67.58/24.59 | (769) sdtasdt0(all_0_4_4, all_0_3_3) = all_114_0_297 & aElement0(all_0_3_3) = all_114_2_299 & aElement0(all_0_4_4) = all_114_1_298 & ( ~ (all_114_1_298 = 0) | ~ (all_114_2_299 = 0) | all_114_0_297 = all_0_1_1)
% 67.58/24.59 |
% 67.58/24.59 | Applying alpha-rule on (769) yields:
% 67.58/24.59 | (770) sdtasdt0(all_0_4_4, all_0_3_3) = all_114_0_297
% 67.58/24.59 | (771) aElement0(all_0_3_3) = all_114_2_299
% 67.58/24.59 | (772) aElement0(all_0_4_4) = all_114_1_298
% 67.58/24.59 | (773) ~ (all_114_1_298 = 0) | ~ (all_114_2_299 = 0) | all_114_0_297 = all_0_1_1
% 67.58/24.59 |
% 67.58/24.59 | Instantiating formula (55) with all_0_3_3, all_114_2_299, 0 and discharging atoms aElement0(all_0_3_3) = all_114_2_299, aElement0(all_0_3_3) = 0, yields:
% 67.58/24.59 | (774) all_114_2_299 = 0
% 67.58/24.59 |
% 67.58/24.59 | Instantiating formula (55) with all_0_3_3, all_112_2_296, all_114_2_299 and discharging atoms aElement0(all_0_3_3) = all_114_2_299, aElement0(all_0_3_3) = all_112_2_296, yields:
% 67.58/24.59 | (775) all_114_2_299 = all_112_2_296
% 67.58/24.59 |
% 67.58/24.59 | Instantiating formula (55) with all_0_4_4, all_114_1_298, 0 and discharging atoms aElement0(all_0_4_4) = all_114_1_298, aElement0(all_0_4_4) = 0, yields:
% 67.58/24.59 | (776) all_114_1_298 = 0
% 67.58/24.59 |
% 67.58/24.59 | Instantiating formula (55) with all_0_4_4, all_112_1_295, all_114_1_298 and discharging atoms aElement0(all_0_4_4) = all_114_1_298, aElement0(all_0_4_4) = all_112_1_295, yields:
% 67.58/24.59 | (777) all_114_1_298 = all_112_1_295
% 67.58/24.59 |
% 67.58/24.59 | Combining equations (777,776) yields a new equation:
% 67.58/24.59 | (778) all_112_1_295 = 0
% 67.58/24.59 |
% 67.58/24.59 | Simplifying 778 yields:
% 67.58/24.59 | (779) all_112_1_295 = 0
% 67.58/24.59 |
% 67.58/24.59 | Combining equations (775,774) yields a new equation:
% 67.58/24.59 | (780) all_112_2_296 = 0
% 67.58/24.59 |
% 67.58/24.59 | Simplifying 780 yields:
% 67.58/24.59 | (781) all_112_2_296 = 0
% 67.58/24.59 |
% 67.58/24.59 | From (781) and (766) follows:
% 67.58/24.59 | (203) aElement0(all_0_3_3) = 0
% 67.58/24.59 |
% 67.58/24.59 | From (779) and (767) follows:
% 67.58/24.59 | (81) aElement0(all_0_4_4) = 0
% 67.58/24.59 |
% 67.58/24.59 +-Applying beta-rule and splitting (773), into two cases.
% 67.58/24.59 |-Branch one:
% 67.58/24.59 | (784) ~ (all_114_1_298 = 0)
% 67.58/24.59 |
% 67.58/24.59 | Equations (776) can reduce 784 to:
% 67.58/24.59 | (98) $false
% 67.58/24.59 |
% 67.58/24.59 |-The branch is then unsatisfiable
% 67.58/24.59 |-Branch two:
% 67.58/24.59 | (776) all_114_1_298 = 0
% 67.58/24.59 | (787) ~ (all_114_2_299 = 0) | all_114_0_297 = all_0_1_1
% 67.58/24.59 |
% 67.58/24.59 +-Applying beta-rule and splitting (787), into two cases.
% 67.58/24.59 |-Branch one:
% 67.58/24.59 | (788) ~ (all_114_2_299 = 0)
% 67.58/24.59 |
% 67.58/24.59 | Equations (774) can reduce 788 to:
% 67.58/24.59 | (98) $false
% 67.58/24.59 |
% 67.58/24.59 |-The branch is then unsatisfiable
% 67.58/24.59 |-Branch two:
% 67.58/24.59 | (774) all_114_2_299 = 0
% 67.58/24.59 | (791) all_114_0_297 = all_0_1_1
% 67.58/24.59 |
% 67.58/24.59 | From (791) and (770) follows:
% 67.58/24.59 | (792) sdtasdt0(all_0_4_4, all_0_3_3) = all_0_1_1
% 67.58/24.59 |
% 67.58/24.59 | Instantiating formula (51) with all_0_1_1, all_0_4_4, all_0_3_3, xc, all_12_0_13 and discharging atoms sdtasdt0(all_12_0_13, xc) = all_0_4_4, sdtasdt0(all_0_4_4, all_0_3_3) = all_0_1_1, yields:
% 67.58/24.59 | (793) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(all_12_0_13, v3) = v4 & sdtasdt0(xc, all_0_3_3) = v3 & aElement0(all_12_0_13) = v0 & aElement0(all_0_3_3) = v2 & aElement0(xc) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = all_0_1_1))
% 67.58/24.59 |
% 67.58/24.59 | Instantiating formula (51) with all_0_1_1, all_0_4_4, all_0_3_3, xc, all_11_2_12 and discharging atoms sdtasdt0(all_11_2_12, xc) = all_0_4_4, sdtasdt0(all_0_4_4, all_0_3_3) = all_0_1_1, yields:
% 67.58/24.59 | (794) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(all_11_2_12, v3) = v4 & sdtasdt0(xc, all_0_3_3) = v3 & aElement0(all_11_2_12) = v0 & aElement0(all_0_3_3) = v2 & aElement0(xc) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = all_0_1_1))
% 67.58/24.59 |
% 67.58/24.59 | Instantiating formula (51) with all_0_1_1, all_0_4_4, all_0_3_3, all_12_0_13, xc and discharging atoms sdtasdt0(all_0_4_4, all_0_3_3) = all_0_1_1, sdtasdt0(xc, all_12_0_13) = all_0_4_4, yields:
% 67.58/24.59 | (795) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(all_12_0_13, all_0_3_3) = v3 & sdtasdt0(xc, v3) = v4 & aElement0(all_12_0_13) = v1 & aElement0(all_0_3_3) = v2 & aElement0(xc) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = all_0_1_1))
% 67.58/24.60 |
% 67.58/24.60 | Instantiating formula (51) with all_0_1_1, all_0_4_4, all_0_3_3, all_11_2_12, xc and discharging atoms sdtasdt0(all_0_4_4, all_0_3_3) = all_0_1_1, sdtasdt0(xc, all_11_2_12) = all_0_4_4, yields:
% 67.58/24.60 | (796) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(all_11_2_12, all_0_3_3) = v3 & sdtasdt0(xc, v3) = v4 & aElement0(all_11_2_12) = v1 & aElement0(all_0_3_3) = v2 & aElement0(xc) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = all_0_1_1))
% 67.58/24.60 |
% 67.58/24.60 | Instantiating (796) with all_157_0_300, all_157_1_301, all_157_2_302, all_157_3_303, all_157_4_304 yields:
% 67.58/24.60 | (797) sdtasdt0(all_11_2_12, all_0_3_3) = all_157_1_301 & sdtasdt0(xc, all_157_1_301) = all_157_0_300 & aElement0(all_11_2_12) = all_157_3_303 & aElement0(all_0_3_3) = all_157_2_302 & aElement0(xc) = all_157_4_304 & ( ~ (all_157_2_302 = 0) | ~ (all_157_3_303 = 0) | ~ (all_157_4_304 = 0) | all_157_0_300 = all_0_1_1)
% 67.58/24.60 |
% 67.58/24.60 | Applying alpha-rule on (797) yields:
% 67.58/24.60 | (798) sdtasdt0(xc, all_157_1_301) = all_157_0_300
% 67.58/24.60 | (799) ~ (all_157_2_302 = 0) | ~ (all_157_3_303 = 0) | ~ (all_157_4_304 = 0) | all_157_0_300 = all_0_1_1
% 67.58/24.60 | (800) aElement0(xc) = all_157_4_304
% 67.58/24.60 | (801) sdtasdt0(all_11_2_12, all_0_3_3) = all_157_1_301
% 67.58/24.60 | (802) aElement0(all_0_3_3) = all_157_2_302
% 67.58/24.60 | (803) aElement0(all_11_2_12) = all_157_3_303
% 67.58/24.60 |
% 67.58/24.60 | Instantiating (794) with all_159_0_305, all_159_1_306, all_159_2_307, all_159_3_308, all_159_4_309 yields:
% 67.58/24.60 | (804) sdtasdt0(all_11_2_12, all_159_1_306) = all_159_0_305 & sdtasdt0(xc, all_0_3_3) = all_159_1_306 & aElement0(all_11_2_12) = all_159_4_309 & aElement0(all_0_3_3) = all_159_2_307 & aElement0(xc) = all_159_3_308 & ( ~ (all_159_2_307 = 0) | ~ (all_159_3_308 = 0) | ~ (all_159_4_309 = 0) | all_159_0_305 = all_0_1_1)
% 67.58/24.60 |
% 67.58/24.60 | Applying alpha-rule on (804) yields:
% 67.58/24.60 | (805) ~ (all_159_2_307 = 0) | ~ (all_159_3_308 = 0) | ~ (all_159_4_309 = 0) | all_159_0_305 = all_0_1_1
% 67.58/24.60 | (806) sdtasdt0(all_11_2_12, all_159_1_306) = all_159_0_305
% 67.58/24.60 | (807) aElement0(all_0_3_3) = all_159_2_307
% 67.58/24.60 | (808) sdtasdt0(xc, all_0_3_3) = all_159_1_306
% 67.58/24.60 | (809) aElement0(xc) = all_159_3_308
% 67.58/24.60 | (810) aElement0(all_11_2_12) = all_159_4_309
% 67.58/24.60 |
% 67.58/24.60 | Instantiating (793) with all_161_0_310, all_161_1_311, all_161_2_312, all_161_3_313, all_161_4_314 yields:
% 67.58/24.60 | (811) sdtasdt0(all_12_0_13, all_161_1_311) = all_161_0_310 & sdtasdt0(xc, all_0_3_3) = all_161_1_311 & aElement0(all_12_0_13) = all_161_4_314 & aElement0(all_0_3_3) = all_161_2_312 & aElement0(xc) = all_161_3_313 & ( ~ (all_161_2_312 = 0) | ~ (all_161_3_313 = 0) | ~ (all_161_4_314 = 0) | all_161_0_310 = all_0_1_1)
% 67.58/24.60 |
% 67.58/24.60 | Applying alpha-rule on (811) yields:
% 67.58/24.60 | (812) aElement0(xc) = all_161_3_313
% 67.58/24.60 | (813) sdtasdt0(all_12_0_13, all_161_1_311) = all_161_0_310
% 67.58/24.60 | (814) sdtasdt0(xc, all_0_3_3) = all_161_1_311
% 67.58/24.60 | (815) aElement0(all_12_0_13) = all_161_4_314
% 67.58/24.60 | (816) ~ (all_161_2_312 = 0) | ~ (all_161_3_313 = 0) | ~ (all_161_4_314 = 0) | all_161_0_310 = all_0_1_1
% 67.58/24.60 | (817) aElement0(all_0_3_3) = all_161_2_312
% 67.58/24.60 |
% 67.58/24.60 | Instantiating (795) with all_163_0_315, all_163_1_316, all_163_2_317, all_163_3_318, all_163_4_319 yields:
% 67.58/24.60 | (818) sdtasdt0(all_12_0_13, all_0_3_3) = all_163_1_316 & sdtasdt0(xc, all_163_1_316) = all_163_0_315 & aElement0(all_12_0_13) = all_163_3_318 & aElement0(all_0_3_3) = all_163_2_317 & aElement0(xc) = all_163_4_319 & ( ~ (all_163_2_317 = 0) | ~ (all_163_3_318 = 0) | ~ (all_163_4_319 = 0) | all_163_0_315 = all_0_1_1)
% 67.58/24.60 |
% 67.58/24.60 | Applying alpha-rule on (818) yields:
% 67.58/24.60 | (819) aElement0(all_12_0_13) = all_163_3_318
% 67.58/24.60 | (820) aElement0(xc) = all_163_4_319
% 67.58/24.60 | (821) sdtasdt0(all_12_0_13, all_0_3_3) = all_163_1_316
% 67.58/24.60 | (822) sdtasdt0(xc, all_163_1_316) = all_163_0_315
% 67.58/24.60 | (823) aElement0(all_0_3_3) = all_163_2_317
% 67.58/24.60 | (824) ~ (all_163_2_317 = 0) | ~ (all_163_3_318 = 0) | ~ (all_163_4_319 = 0) | all_163_0_315 = all_0_1_1
% 67.58/24.60 |
% 67.58/24.60 | Instantiating formula (78) with xc, all_0_3_3, all_159_1_306, all_161_1_311 and discharging atoms sdtasdt0(xc, all_0_3_3) = all_161_1_311, sdtasdt0(xc, all_0_3_3) = all_159_1_306, yields:
% 67.58/24.60 | (825) all_161_1_311 = all_159_1_306
% 67.58/24.60 |
% 67.58/24.60 | Instantiating formula (55) with all_11_2_12, all_159_4_309, 0 and discharging atoms aElement0(all_11_2_12) = all_159_4_309, aElement0(all_11_2_12) = 0, yields:
% 67.58/24.60 | (826) all_159_4_309 = 0
% 67.58/24.60 |
% 67.58/24.60 | Instantiating formula (55) with all_11_2_12, all_157_3_303, all_159_4_309 and discharging atoms aElement0(all_11_2_12) = all_159_4_309, aElement0(all_11_2_12) = all_157_3_303, yields:
% 67.58/24.60 | (827) all_159_4_309 = all_157_3_303
% 67.58/24.60 |
% 67.58/24.60 | Instantiating formula (55) with all_0_3_3, all_163_2_317, 0 and discharging atoms aElement0(all_0_3_3) = all_163_2_317, aElement0(all_0_3_3) = 0, yields:
% 67.58/24.60 | (828) all_163_2_317 = 0
% 67.58/24.60 |
% 67.58/24.60 | Instantiating formula (55) with all_0_3_3, all_159_2_307, all_163_2_317 and discharging atoms aElement0(all_0_3_3) = all_163_2_317, aElement0(all_0_3_3) = all_159_2_307, yields:
% 67.58/24.60 | (829) all_163_2_317 = all_159_2_307
% 67.58/24.60 |
% 67.58/24.60 | Instantiating formula (55) with all_0_3_3, all_159_2_307, all_161_2_312 and discharging atoms aElement0(all_0_3_3) = all_161_2_312, aElement0(all_0_3_3) = all_159_2_307, yields:
% 67.58/24.60 | (830) all_161_2_312 = all_159_2_307
% 67.58/24.60 |
% 67.58/24.60 | Instantiating formula (55) with all_0_3_3, all_157_2_302, all_161_2_312 and discharging atoms aElement0(all_0_3_3) = all_161_2_312, aElement0(all_0_3_3) = all_157_2_302, yields:
% 67.58/24.60 | (831) all_161_2_312 = all_157_2_302
% 67.58/24.60 |
% 67.58/24.60 | Instantiating formula (55) with xc, all_161_3_313, 0 and discharging atoms aElement0(xc) = all_161_3_313, aElement0(xc) = 0, yields:
% 67.58/24.60 | (832) all_161_3_313 = 0
% 67.58/24.60 |
% 67.58/24.60 | Instantiating formula (55) with xc, all_161_3_313, all_163_4_319 and discharging atoms aElement0(xc) = all_163_4_319, aElement0(xc) = all_161_3_313, yields:
% 67.58/24.60 | (833) all_163_4_319 = all_161_3_313
% 67.58/24.60 |
% 67.58/24.60 | Instantiating formula (55) with xc, all_159_3_308, all_161_3_313 and discharging atoms aElement0(xc) = all_161_3_313, aElement0(xc) = all_159_3_308, yields:
% 67.58/24.60 | (834) all_161_3_313 = all_159_3_308
% 67.58/24.60 |
% 67.58/24.60 | Instantiating formula (55) with xc, all_157_4_304, all_163_4_319 and discharging atoms aElement0(xc) = all_163_4_319, aElement0(xc) = all_157_4_304, yields:
% 67.58/24.60 | (835) all_163_4_319 = all_157_4_304
% 67.58/24.60 |
% 67.58/24.60 | Combining equations (829,828) yields a new equation:
% 67.58/24.60 | (836) all_159_2_307 = 0
% 67.58/24.60 |
% 67.58/24.60 | Simplifying 836 yields:
% 67.58/24.60 | (837) all_159_2_307 = 0
% 67.58/24.60 |
% 67.58/24.60 | Combining equations (833,835) yields a new equation:
% 67.58/24.60 | (838) all_161_3_313 = all_157_4_304
% 67.58/24.60 |
% 67.58/24.60 | Simplifying 838 yields:
% 67.58/24.60 | (839) all_161_3_313 = all_157_4_304
% 67.58/24.60 |
% 67.58/24.60 | Combining equations (830,831) yields a new equation:
% 67.58/24.60 | (840) all_159_2_307 = all_157_2_302
% 67.58/24.60 |
% 67.58/24.60 | Simplifying 840 yields:
% 67.58/24.60 | (841) all_159_2_307 = all_157_2_302
% 67.58/24.60 |
% 67.58/24.60 | Combining equations (839,834) yields a new equation:
% 67.58/24.60 | (842) all_159_3_308 = all_157_4_304
% 67.58/24.60 |
% 67.58/24.60 | Combining equations (832,834) yields a new equation:
% 67.58/24.60 | (843) all_159_3_308 = 0
% 67.58/24.60 |
% 67.58/24.60 | Combining equations (837,841) yields a new equation:
% 67.58/24.60 | (844) all_157_2_302 = 0
% 67.58/24.60 |
% 67.58/24.60 | Combining equations (843,842) yields a new equation:
% 67.58/24.60 | (845) all_157_4_304 = 0
% 67.58/24.60 |
% 67.58/24.61 | Combining equations (827,826) yields a new equation:
% 67.58/24.61 | (846) all_157_3_303 = 0
% 67.58/24.61 |
% 67.58/24.61 | Simplifying 846 yields:
% 67.58/24.61 | (847) all_157_3_303 = 0
% 67.58/24.61 |
% 67.58/24.61 | Combining equations (845,842) yields a new equation:
% 67.58/24.61 | (843) all_159_3_308 = 0
% 67.58/24.61 |
% 67.58/24.61 | Combining equations (844,841) yields a new equation:
% 67.58/24.61 | (837) all_159_2_307 = 0
% 67.58/24.61 |
% 67.58/24.61 | From (825) and (814) follows:
% 67.58/24.61 | (808) sdtasdt0(xc, all_0_3_3) = all_159_1_306
% 67.58/24.61 |
% 67.58/24.61 | From (847) and (803) follows:
% 67.58/24.61 | (96) aElement0(all_11_2_12) = 0
% 67.58/24.61 |
% 67.58/24.61 | From (844) and (802) follows:
% 67.58/24.61 | (203) aElement0(all_0_3_3) = 0
% 67.58/24.61 |
% 67.58/24.61 | From (845) and (800) follows:
% 67.58/24.61 | (30) aElement0(xc) = 0
% 67.58/24.61 |
% 67.58/24.61 +-Applying beta-rule and splitting (799), into two cases.
% 67.58/24.61 |-Branch one:
% 67.58/24.61 | (854) ~ (all_157_2_302 = 0)
% 67.58/24.61 |
% 67.58/24.61 | Equations (844) can reduce 854 to:
% 67.58/24.61 | (98) $false
% 67.58/24.61 |
% 67.58/24.61 |-The branch is then unsatisfiable
% 67.58/24.61 |-Branch two:
% 67.58/24.61 | (844) all_157_2_302 = 0
% 67.58/24.61 | (857) ~ (all_157_3_303 = 0) | ~ (all_157_4_304 = 0) | all_157_0_300 = all_0_1_1
% 67.58/24.61 |
% 67.58/24.61 +-Applying beta-rule and splitting (805), into two cases.
% 67.58/24.61 |-Branch one:
% 67.58/24.61 | (858) ~ (all_159_2_307 = 0)
% 67.58/24.61 |
% 67.58/24.61 | Equations (837) can reduce 858 to:
% 67.58/24.61 | (98) $false
% 67.58/24.61 |
% 67.58/24.61 |-The branch is then unsatisfiable
% 67.58/24.61 |-Branch two:
% 67.58/24.61 | (837) all_159_2_307 = 0
% 67.58/24.61 | (861) ~ (all_159_3_308 = 0) | ~ (all_159_4_309 = 0) | all_159_0_305 = all_0_1_1
% 67.58/24.61 |
% 67.58/24.61 +-Applying beta-rule and splitting (861), into two cases.
% 67.58/24.61 |-Branch one:
% 67.58/24.61 | (862) ~ (all_159_3_308 = 0)
% 67.58/24.61 |
% 67.58/24.61 | Equations (843) can reduce 862 to:
% 67.58/24.61 | (98) $false
% 67.58/24.61 |
% 67.58/24.61 |-The branch is then unsatisfiable
% 67.58/24.61 |-Branch two:
% 67.58/24.61 | (843) all_159_3_308 = 0
% 67.58/24.61 | (865) ~ (all_159_4_309 = 0) | all_159_0_305 = all_0_1_1
% 67.58/24.61 |
% 67.58/24.61 +-Applying beta-rule and splitting (865), into two cases.
% 67.58/24.61 |-Branch one:
% 67.58/24.61 | (866) ~ (all_159_4_309 = 0)
% 67.58/24.61 |
% 67.58/24.61 | Equations (826) can reduce 866 to:
% 67.58/24.61 | (98) $false
% 67.58/24.61 |
% 67.58/24.61 |-The branch is then unsatisfiable
% 67.58/24.61 |-Branch two:
% 67.58/24.61 | (826) all_159_4_309 = 0
% 67.58/24.61 | (869) all_159_0_305 = all_0_1_1
% 67.58/24.61 |
% 67.58/24.61 | From (869) and (806) follows:
% 67.58/24.61 | (870) sdtasdt0(all_11_2_12, all_159_1_306) = all_0_1_1
% 67.58/24.61 |
% 67.58/24.61 +-Applying beta-rule and splitting (857), into two cases.
% 67.58/24.61 |-Branch one:
% 67.58/24.61 | (871) ~ (all_157_3_303 = 0)
% 67.58/24.61 |
% 67.58/24.61 | Equations (847) can reduce 871 to:
% 67.58/24.61 | (98) $false
% 67.58/24.61 |
% 67.58/24.61 |-The branch is then unsatisfiable
% 67.58/24.61 |-Branch two:
% 67.58/24.61 | (847) all_157_3_303 = 0
% 67.58/24.61 | (874) ~ (all_157_4_304 = 0) | all_157_0_300 = all_0_1_1
% 67.58/24.61 |
% 67.58/24.61 +-Applying beta-rule and splitting (874), into two cases.
% 67.58/24.61 |-Branch one:
% 67.58/24.61 | (875) ~ (all_157_4_304 = 0)
% 67.58/24.61 |
% 67.58/24.61 | Equations (845) can reduce 875 to:
% 67.58/24.61 | (98) $false
% 67.58/24.61 |
% 67.58/24.61 |-The branch is then unsatisfiable
% 67.58/24.61 |-Branch two:
% 67.58/24.61 | (845) all_157_4_304 = 0
% 67.58/24.61 | (878) all_157_0_300 = all_0_1_1
% 67.58/24.61 |
% 67.58/24.61 | From (878) and (798) follows:
% 67.58/24.61 | (879) sdtasdt0(xc, all_157_1_301) = all_0_1_1
% 67.58/24.61 |
% 67.58/24.61 +-Applying beta-rule and splitting (108), into two cases.
% 67.58/24.61 |-Branch one:
% 67.58/24.61 | (880) ~ (aElement0(sz00) = all_9_0_8)
% 67.58/24.61 |
% 67.58/24.61 | From (116) and (880) follows:
% 67.58/24.61 | (881) ~ (aElement0(sz00) = 0)
% 67.58/24.61 |
% 67.58/24.61 | Using (40) and (881) yields:
% 67.58/24.61 | (882) $false
% 67.58/24.61 |
% 67.58/24.61 |-The branch is then unsatisfiable
% 67.58/24.61 |-Branch two:
% 67.58/24.61 | (883) aElement0(sz00) = all_9_0_8
% 67.58/24.61 | (116) all_9_0_8 = 0
% 67.58/24.61 |
% 67.58/24.61 +-Applying beta-rule and splitting (107), into two cases.
% 67.58/24.61 |-Branch one:
% 67.58/24.61 | (885) ~ (aElement0(sz10) = all_9_0_8)
% 67.58/24.61 |
% 67.58/24.61 | From (116) and (885) follows:
% 67.58/24.61 | (886) ~ (aElement0(sz10) = 0)
% 67.58/24.61 |
% 67.58/24.61 | Using (59) and (886) yields:
% 67.58/24.61 | (882) $false
% 67.58/24.61 |
% 67.58/24.61 |-The branch is then unsatisfiable
% 67.58/24.61 |-Branch two:
% 67.58/24.61 | (888) aElement0(sz10) = all_9_0_8
% 67.58/24.61 | (116) all_9_0_8 = 0
% 67.58/24.61 |
% 67.58/24.61 | From (116) and (888) follows:
% 67.58/24.61 | (59) aElement0(sz10) = 0
% 67.58/24.61 |
% 67.58/24.61 +-Applying beta-rule and splitting (109), into two cases.
% 67.58/24.61 |-Branch one:
% 67.58/24.61 | (891) ~ (aElement0(all_0_7_7) = 0)
% 67.58/24.61 |
% 67.58/24.61 | Using (117) and (891) yields:
% 67.58/24.61 | (882) $false
% 67.58/24.61 |
% 67.58/24.61 |-The branch is then unsatisfiable
% 67.58/24.61 |-Branch two:
% 67.58/24.61 | (117) aElement0(all_0_7_7) = 0
% 67.58/24.61 | (116) all_9_0_8 = 0
% 67.58/24.61 |
% 67.58/24.61 +-Applying beta-rule and splitting (111), into two cases.
% 67.58/24.61 |-Branch one:
% 67.58/24.61 | (885) ~ (aElement0(sz10) = all_9_0_8)
% 67.58/24.61 |
% 67.58/24.61 | From (116) and (885) follows:
% 67.58/24.61 | (886) ~ (aElement0(sz10) = 0)
% 67.58/24.61 |
% 67.58/24.61 | Using (59) and (886) yields:
% 67.58/24.61 | (882) $false
% 67.58/24.61 |
% 67.58/24.61 |-The branch is then unsatisfiable
% 67.58/24.61 |-Branch two:
% 67.58/24.61 | (888) aElement0(sz10) = all_9_0_8
% 67.58/24.61 | (899) all_9_0_8 = all_9_1_9
% 67.58/24.61 |
% 67.58/24.61 | Combining equations (116,899) yields a new equation:
% 67.58/24.61 | (110) all_9_1_9 = 0
% 67.58/24.61 |
% 67.58/24.61 | Combining equations (110,899) yields a new equation:
% 67.58/24.61 | (116) all_9_0_8 = 0
% 67.58/24.61 |
% 67.58/24.61 | From (116) and (888) follows:
% 67.58/24.61 | (59) aElement0(sz10) = 0
% 67.58/24.61 |
% 67.58/24.61 +-Applying beta-rule and splitting (106), into two cases.
% 67.58/24.61 |-Branch one:
% 67.58/24.61 | (903) ~ (aElement0(xc) = all_9_0_8)
% 67.58/24.61 |
% 67.58/24.61 | From (116) and (903) follows:
% 67.58/24.61 | (904) ~ (aElement0(xc) = 0)
% 67.58/24.61 |
% 67.58/24.61 | Using (30) and (904) yields:
% 67.58/24.61 | (882) $false
% 67.58/24.61 |
% 67.58/24.61 |-The branch is then unsatisfiable
% 67.58/24.61 |-Branch two:
% 67.58/24.61 | (906) aElement0(xc) = all_9_0_8
% 67.58/24.61 | (116) all_9_0_8 = 0
% 67.58/24.61 |
% 67.58/24.61 | From (116) and (906) follows:
% 67.58/24.61 | (30) aElement0(xc) = 0
% 67.58/24.61 |
% 67.58/24.61 +-Applying beta-rule and splitting (143), into two cases.
% 67.58/24.61 |-Branch one:
% 67.58/24.61 | (909) ~ (aElement0(sz10) = all_40_1_21)
% 67.58/24.61 |
% 67.58/24.61 | From (142) and (909) follows:
% 67.58/24.61 | (886) ~ (aElement0(sz10) = 0)
% 67.58/24.61 |
% 67.58/24.61 | Using (59) and (886) yields:
% 67.58/24.61 | (882) $false
% 67.58/24.61 |
% 67.58/24.61 |-The branch is then unsatisfiable
% 67.58/24.61 |-Branch two:
% 67.58/24.61 | (912) aElement0(sz10) = all_40_1_21
% 67.58/24.61 | (142) all_40_1_21 = 0
% 67.58/24.61 |
% 67.58/24.61 | From (142) and (912) follows:
% 67.58/24.61 | (59) aElement0(sz10) = 0
% 67.58/24.61 |
% 67.58/24.62 +-Applying beta-rule and splitting (144), into two cases.
% 67.58/24.62 |-Branch one:
% 67.58/24.62 | (915) ~ (aElement0(all_11_2_12) = all_43_1_27)
% 67.58/24.62 |
% 67.58/24.62 | From (136) and (915) follows:
% 67.58/24.62 | (916) ~ (aElement0(all_11_2_12) = 0)
% 67.58/24.62 |
% 67.58/24.62 | Using (96) and (916) yields:
% 67.58/24.62 | (882) $false
% 67.58/24.62 |
% 67.58/24.62 |-The branch is then unsatisfiable
% 67.58/24.62 |-Branch two:
% 67.58/24.62 | (918) aElement0(all_11_2_12) = all_43_1_27
% 67.58/24.62 | (919) all_43_1_27 = all_40_1_21
% 67.58/24.62 |
% 67.58/24.62 | Combining equations (136,919) yields a new equation:
% 67.58/24.62 | (142) all_40_1_21 = 0
% 67.58/24.62 |
% 67.58/24.62 | Combining equations (142,919) yields a new equation:
% 67.58/24.62 | (136) all_43_1_27 = 0
% 67.58/24.62 |
% 67.58/24.62 | From (136) and (918) follows:
% 67.58/24.62 | (96) aElement0(all_11_2_12) = 0
% 67.58/24.62 |
% 67.58/24.62 +-Applying beta-rule and splitting (149), into two cases.
% 67.58/24.62 |-Branch one:
% 67.58/24.62 | (923) ~ (aElement0(xc) = all_40_1_21)
% 67.58/24.62 |
% 67.58/24.62 | From (142) and (923) follows:
% 67.58/24.62 | (904) ~ (aElement0(xc) = 0)
% 67.58/24.62 |
% 67.58/24.62 | Using (30) and (904) yields:
% 67.58/24.62 | (882) $false
% 67.58/24.62 |
% 67.58/24.62 |-The branch is then unsatisfiable
% 67.58/24.62 |-Branch two:
% 67.58/24.62 | (926) aElement0(xc) = all_40_1_21
% 67.58/24.62 | (927) all_40_1_21 = all_40_2_22
% 67.58/24.62 |
% 67.58/24.62 | Combining equations (142,927) yields a new equation:
% 67.58/24.62 | (152) all_40_2_22 = 0
% 67.58/24.62 |
% 67.58/24.62 | Combining equations (152,927) yields a new equation:
% 67.58/24.62 | (142) all_40_1_21 = 0
% 67.58/24.62 |
% 67.58/24.62 | From (142) and (926) follows:
% 67.58/24.62 | (30) aElement0(xc) = 0
% 67.58/24.62 |
% 67.58/24.62 +-Applying beta-rule and splitting (148), into two cases.
% 67.58/24.62 |-Branch one:
% 67.58/24.62 | (931) ~ (aElement0(xc) = all_43_1_27)
% 67.58/24.62 |
% 67.58/24.62 | From (136) and (931) follows:
% 67.58/24.62 | (904) ~ (aElement0(xc) = 0)
% 67.58/24.62 |
% 67.58/24.62 | Using (30) and (904) yields:
% 67.58/24.62 | (882) $false
% 67.58/24.62 |
% 67.58/24.62 |-The branch is then unsatisfiable
% 67.58/24.62 |-Branch two:
% 67.58/24.62 | (934) aElement0(xc) = all_43_1_27
% 67.58/24.62 | (935) all_43_1_27 = all_40_2_22
% 67.58/24.62 |
% 67.58/24.62 | Combining equations (136,935) yields a new equation:
% 67.58/24.62 | (152) all_40_2_22 = 0
% 67.58/24.62 |
% 67.58/24.62 | Combining equations (152,935) yields a new equation:
% 67.58/24.62 | (136) all_43_1_27 = 0
% 67.58/24.62 |
% 67.58/24.62 | From (136) and (934) follows:
% 67.58/24.62 | (30) aElement0(xc) = 0
% 67.58/24.62 |
% 67.58/24.62 +-Applying beta-rule and splitting (147), into two cases.
% 67.58/24.62 |-Branch one:
% 67.58/24.62 | (931) ~ (aElement0(xc) = all_43_1_27)
% 67.58/24.62 |
% 67.58/24.62 | From (136) and (931) follows:
% 67.58/24.62 | (904) ~ (aElement0(xc) = 0)
% 67.58/24.62 |
% 67.58/24.62 | Using (30) and (904) yields:
% 67.58/24.62 | (882) $false
% 67.58/24.62 |
% 67.58/24.62 |-The branch is then unsatisfiable
% 67.58/24.62 |-Branch two:
% 67.58/24.62 | (934) aElement0(xc) = all_43_1_27
% 67.58/24.62 | (943) all_43_1_27 = all_43_2_28
% 67.58/24.62 |
% 67.58/24.62 | Combining equations (136,943) yields a new equation:
% 67.58/24.62 | (145) all_43_2_28 = 0
% 67.58/24.62 |
% 67.58/24.62 | Combining equations (145,943) yields a new equation:
% 67.58/24.62 | (136) all_43_1_27 = 0
% 67.58/24.62 |
% 67.58/24.62 | From (136) and (934) follows:
% 67.58/24.62 | (30) aElement0(xc) = 0
% 67.58/24.62 |
% 67.58/24.62 +-Applying beta-rule and splitting (146), into two cases.
% 67.58/24.62 |-Branch one:
% 67.58/24.62 | (947) ~ (aElement0(sz10) = all_43_2_28)
% 67.58/24.62 |
% 67.58/24.62 | From (145) and (947) follows:
% 67.58/24.62 | (886) ~ (aElement0(sz10) = 0)
% 67.58/24.62 |
% 67.58/24.62 | Using (59) and (886) yields:
% 67.58/24.62 | (882) $false
% 67.58/24.62 |
% 67.58/24.62 |-The branch is then unsatisfiable
% 67.58/24.62 |-Branch two:
% 67.58/24.62 | (950) aElement0(sz10) = all_43_2_28
% 67.58/24.62 | (145) all_43_2_28 = 0
% 67.58/24.62 |
% 67.58/24.62 | From (145) and (950) follows:
% 67.58/24.62 | (59) aElement0(sz10) = 0
% 67.58/24.62 |
% 67.58/24.62 +-Applying beta-rule and splitting (138), into two cases.
% 67.58/24.62 |-Branch one:
% 67.58/24.62 | (953) ~ (aElement0(all_0_4_4) = all_43_1_27)
% 67.58/24.62 |
% 67.58/24.62 | From (136) and (953) follows:
% 67.58/24.62 | (954) ~ (aElement0(all_0_4_4) = 0)
% 67.58/24.62 |
% 67.58/24.62 | Using (81) and (954) yields:
% 67.58/24.62 | (882) $false
% 67.58/24.62 |
% 67.58/24.62 |-The branch is then unsatisfiable
% 67.58/24.62 |-Branch two:
% 67.58/24.62 | (956) aElement0(all_0_4_4) = all_43_1_27
% 67.58/24.62 | (136) all_43_1_27 = 0
% 67.58/24.62 |
% 67.58/24.62 +-Applying beta-rule and splitting (140), into two cases.
% 67.58/24.62 |-Branch one:
% 67.58/24.62 | (931) ~ (aElement0(xc) = all_43_1_27)
% 67.58/24.62 |
% 67.58/24.62 | From (136) and (931) follows:
% 67.58/24.62 | (904) ~ (aElement0(xc) = 0)
% 67.58/24.62 |
% 67.58/24.62 | Using (30) and (904) yields:
% 67.58/24.62 | (882) $false
% 67.58/24.62 |
% 67.58/24.62 |-The branch is then unsatisfiable
% 67.58/24.62 |-Branch two:
% 67.58/24.62 | (934) aElement0(xc) = all_43_1_27
% 67.58/24.62 | (136) all_43_1_27 = 0
% 67.58/24.62 |
% 67.58/24.62 +-Applying beta-rule and splitting (141), into two cases.
% 67.58/24.62 |-Branch one:
% 67.58/24.62 | (963) ~ (aElement0(sz10) = all_43_1_27)
% 67.58/24.62 |
% 67.58/24.62 | From (136) and (963) follows:
% 67.58/24.62 | (886) ~ (aElement0(sz10) = 0)
% 67.58/24.62 |
% 67.58/24.62 | Using (59) and (886) yields:
% 67.58/24.62 | (882) $false
% 67.58/24.62 |
% 67.58/24.62 |-The branch is then unsatisfiable
% 67.58/24.62 |-Branch two:
% 67.58/24.62 | (966) aElement0(sz10) = all_43_1_27
% 67.58/24.62 | (136) all_43_1_27 = 0
% 67.58/24.62 |
% 67.58/24.62 +-Applying beta-rule and splitting (139), into two cases.
% 67.58/24.62 |-Branch one:
% 67.58/24.62 | (968) ~ (aElement0(all_0_7_7) = all_43_1_27)
% 67.58/24.62 |
% 67.58/24.62 | From (136) and (968) follows:
% 67.58/24.62 | (891) ~ (aElement0(all_0_7_7) = 0)
% 67.58/24.62 |
% 67.58/24.62 | Using (117) and (891) yields:
% 67.58/24.62 | (882) $false
% 67.58/24.62 |
% 67.58/24.62 |-The branch is then unsatisfiable
% 67.58/24.62 |-Branch two:
% 67.58/24.62 | (971) aElement0(all_0_7_7) = all_43_1_27
% 67.58/24.62 | (136) all_43_1_27 = 0
% 67.58/24.62 |
% 67.58/24.62 +-Applying beta-rule and splitting (137), into two cases.
% 67.58/24.62 |-Branch one:
% 67.58/24.62 | (915) ~ (aElement0(all_11_2_12) = all_43_1_27)
% 67.58/24.62 |
% 67.58/24.62 | From (136) and (915) follows:
% 67.58/24.62 | (916) ~ (aElement0(all_11_2_12) = 0)
% 67.58/24.62 |
% 67.58/24.62 | Using (96) and (916) yields:
% 67.58/24.62 | (882) $false
% 67.58/24.62 |
% 67.58/24.62 |-The branch is then unsatisfiable
% 67.58/24.62 |-Branch two:
% 67.58/24.62 | (918) aElement0(all_11_2_12) = all_43_1_27
% 67.58/24.62 | (136) all_43_1_27 = 0
% 67.58/24.62 |
% 67.58/24.62 | From (136) and (918) follows:
% 67.58/24.62 | (96) aElement0(all_11_2_12) = 0
% 67.58/24.62 |
% 67.58/24.62 | Instantiating formula (45) with all_163_1_316, all_0_3_3, all_12_0_13 and discharging atoms sdtasdt0(all_12_0_13, all_0_3_3) = all_163_1_316, yields:
% 67.58/24.62 | (979) ? [v0] : ? [v1] : ? [v2] : (sdtasdt0(all_0_3_3, all_12_0_13) = v2 & aElement0(all_12_0_13) = v0 & aElement0(all_0_3_3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_163_1_316))
% 67.58/24.62 |
% 67.58/24.62 | Instantiating formula (3) with all_163_1_316, all_0_3_3, all_12_0_13 and discharging atoms sdtasdt0(all_12_0_13, all_0_3_3) = all_163_1_316, yields:
% 67.58/24.62 | (980) ? [v0] : ? [v1] : ? [v2] : (aElement0(all_163_1_316) = v2 & aElement0(all_12_0_13) = v0 & aElement0(all_0_3_3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 67.58/24.62 |
% 67.58/24.62 | Instantiating formula (45) with all_0_1_1, all_159_1_306, all_11_2_12 and discharging atoms sdtasdt0(all_11_2_12, all_159_1_306) = all_0_1_1, yields:
% 67.58/24.62 | (981) ? [v0] : ? [v1] : ? [v2] : (sdtasdt0(all_159_1_306, all_11_2_12) = v2 & aElement0(all_159_1_306) = v1 & aElement0(all_11_2_12) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_0_1_1))
% 67.58/24.63 |
% 67.58/24.63 | Instantiating formula (3) with all_0_1_1, all_159_1_306, all_11_2_12 and discharging atoms sdtasdt0(all_11_2_12, all_159_1_306) = all_0_1_1, yields:
% 67.58/24.63 | (982) ? [v0] : ? [v1] : ? [v2] : (aElement0(all_159_1_306) = v1 & aElement0(all_11_2_12) = v0 & aElement0(all_0_1_1) = v2 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 67.58/24.63 |
% 67.58/24.63 | Instantiating formula (45) with all_157_1_301, all_0_3_3, all_11_2_12 and discharging atoms sdtasdt0(all_11_2_12, all_0_3_3) = all_157_1_301, yields:
% 67.58/24.63 | (983) ? [v0] : ? [v1] : ? [v2] : (sdtasdt0(all_0_3_3, all_11_2_12) = v2 & aElement0(all_11_2_12) = v0 & aElement0(all_0_3_3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_157_1_301))
% 67.58/24.63 |
% 67.58/24.63 | Instantiating formula (3) with all_157_1_301, all_0_3_3, all_11_2_12 and discharging atoms sdtasdt0(all_11_2_12, all_0_3_3) = all_157_1_301, yields:
% 67.58/24.63 | (984) ? [v0] : ? [v1] : ? [v2] : (aElement0(all_157_1_301) = v2 & aElement0(all_11_2_12) = v0 & aElement0(all_0_3_3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 67.58/24.63 |
% 67.58/24.63 | Instantiating formula (56) with all_157_1_301, all_0_0_0, all_0_1_1 and discharging atoms aElementOf0(all_0_1_1, all_0_6_6) = all_0_0_0, sdtasdt0(xc, all_157_1_301) = all_0_1_1, yields:
% 67.58/24.63 | (985) all_0_0_0 = 0 | ? [v0] : ( ~ (v0 = 0) & aElement0(all_157_1_301) = v0)
% 67.58/24.63 |
% 67.58/24.63 | Instantiating formula (45) with all_0_1_1, all_157_1_301, xc and discharging atoms sdtasdt0(xc, all_157_1_301) = all_0_1_1, yields:
% 67.58/24.63 | (986) ? [v0] : ? [v1] : ? [v2] : (sdtasdt0(all_157_1_301, xc) = v2 & aElement0(all_157_1_301) = v1 & aElement0(xc) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_0_1_1))
% 67.58/24.63 |
% 67.58/24.63 | Instantiating formula (3) with all_0_1_1, all_157_1_301, xc and discharging atoms sdtasdt0(xc, all_157_1_301) = all_0_1_1, yields:
% 67.58/24.63 | (987) ? [v0] : ? [v1] : ? [v2] : (aElement0(all_157_1_301) = v1 & aElement0(all_0_1_1) = v2 & aElement0(xc) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 67.58/24.63 |
% 67.58/24.63 | Instantiating formula (45) with all_159_1_306, all_0_3_3, xc and discharging atoms sdtasdt0(xc, all_0_3_3) = all_159_1_306, yields:
% 67.58/24.63 | (988) ? [v0] : ? [v1] : ? [v2] : (sdtasdt0(all_0_3_3, xc) = v2 & aElement0(all_0_3_3) = v1 & aElement0(xc) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_159_1_306))
% 67.58/24.63 |
% 67.58/24.63 | Instantiating formula (3) with all_159_1_306, all_0_3_3, xc and discharging atoms sdtasdt0(xc, all_0_3_3) = all_159_1_306, yields:
% 67.58/24.63 | (989) ? [v0] : ? [v1] : ? [v2] : (aElement0(all_159_1_306) = v2 & aElement0(all_0_3_3) = v1 & aElement0(xc) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 67.58/24.63 |
% 67.58/24.63 | Instantiating (987) with all_491_0_326, all_491_1_327, all_491_2_328 yields:
% 67.58/24.63 | (990) aElement0(all_157_1_301) = all_491_1_327 & aElement0(all_0_1_1) = all_491_0_326 & aElement0(xc) = all_491_2_328 & ( ~ (all_491_1_327 = 0) | ~ (all_491_2_328 = 0) | all_491_0_326 = 0)
% 67.58/24.63 |
% 67.58/24.63 | Applying alpha-rule on (990) yields:
% 67.58/24.63 | (991) aElement0(all_157_1_301) = all_491_1_327
% 67.58/24.63 | (992) aElement0(all_0_1_1) = all_491_0_326
% 67.58/24.63 | (993) aElement0(xc) = all_491_2_328
% 67.58/24.63 | (994) ~ (all_491_1_327 = 0) | ~ (all_491_2_328 = 0) | all_491_0_326 = 0
% 67.58/24.63 |
% 67.58/24.63 | Instantiating (986) with all_493_0_329, all_493_1_330, all_493_2_331 yields:
% 67.58/24.63 | (995) sdtasdt0(all_157_1_301, xc) = all_493_0_329 & aElement0(all_157_1_301) = all_493_1_330 & aElement0(xc) = all_493_2_331 & ( ~ (all_493_1_330 = 0) | ~ (all_493_2_331 = 0) | all_493_0_329 = all_0_1_1)
% 67.58/24.63 |
% 67.58/24.63 | Applying alpha-rule on (995) yields:
% 67.58/24.63 | (996) sdtasdt0(all_157_1_301, xc) = all_493_0_329
% 67.58/24.63 | (997) aElement0(all_157_1_301) = all_493_1_330
% 67.58/24.63 | (998) aElement0(xc) = all_493_2_331
% 67.58/24.63 | (999) ~ (all_493_1_330 = 0) | ~ (all_493_2_331 = 0) | all_493_0_329 = all_0_1_1
% 67.58/24.63 |
% 67.58/24.63 | Instantiating (989) with all_495_0_332, all_495_1_333, all_495_2_334 yields:
% 67.58/24.63 | (1000) aElement0(all_159_1_306) = all_495_0_332 & aElement0(all_0_3_3) = all_495_1_333 & aElement0(xc) = all_495_2_334 & ( ~ (all_495_1_333 = 0) | ~ (all_495_2_334 = 0) | all_495_0_332 = 0)
% 67.58/24.63 |
% 67.58/24.63 | Applying alpha-rule on (1000) yields:
% 67.58/24.63 | (1001) aElement0(all_159_1_306) = all_495_0_332
% 67.58/24.63 | (1002) aElement0(all_0_3_3) = all_495_1_333
% 67.58/24.63 | (1003) aElement0(xc) = all_495_2_334
% 67.58/24.63 | (1004) ~ (all_495_1_333 = 0) | ~ (all_495_2_334 = 0) | all_495_0_332 = 0
% 67.58/24.63 |
% 67.58/24.63 | Instantiating (988) with all_497_0_335, all_497_1_336, all_497_2_337 yields:
% 67.58/24.63 | (1005) sdtasdt0(all_0_3_3, xc) = all_497_0_335 & aElement0(all_0_3_3) = all_497_1_336 & aElement0(xc) = all_497_2_337 & ( ~ (all_497_1_336 = 0) | ~ (all_497_2_337 = 0) | all_497_0_335 = all_159_1_306)
% 67.58/24.63 |
% 67.58/24.63 | Applying alpha-rule on (1005) yields:
% 67.58/24.63 | (1006) sdtasdt0(all_0_3_3, xc) = all_497_0_335
% 67.58/24.63 | (1007) aElement0(all_0_3_3) = all_497_1_336
% 67.58/24.63 | (1008) aElement0(xc) = all_497_2_337
% 67.58/24.63 | (1009) ~ (all_497_1_336 = 0) | ~ (all_497_2_337 = 0) | all_497_0_335 = all_159_1_306
% 67.58/24.63 |
% 67.58/24.63 | Instantiating (984) with all_499_0_338, all_499_1_339, all_499_2_340 yields:
% 67.58/24.63 | (1010) aElement0(all_157_1_301) = all_499_0_338 & aElement0(all_11_2_12) = all_499_2_340 & aElement0(all_0_3_3) = all_499_1_339 & ( ~ (all_499_1_339 = 0) | ~ (all_499_2_340 = 0) | all_499_0_338 = 0)
% 67.58/24.63 |
% 67.58/24.63 | Applying alpha-rule on (1010) yields:
% 67.58/24.63 | (1011) aElement0(all_157_1_301) = all_499_0_338
% 67.58/24.63 | (1012) aElement0(all_11_2_12) = all_499_2_340
% 67.58/24.63 | (1013) aElement0(all_0_3_3) = all_499_1_339
% 67.58/24.63 | (1014) ~ (all_499_1_339 = 0) | ~ (all_499_2_340 = 0) | all_499_0_338 = 0
% 67.58/24.63 |
% 67.58/24.63 | Instantiating (982) with all_501_0_341, all_501_1_342, all_501_2_343 yields:
% 67.58/24.63 | (1015) aElement0(all_159_1_306) = all_501_1_342 & aElement0(all_11_2_12) = all_501_2_343 & aElement0(all_0_1_1) = all_501_0_341 & ( ~ (all_501_1_342 = 0) | ~ (all_501_2_343 = 0) | all_501_0_341 = 0)
% 67.58/24.63 |
% 67.58/24.63 | Applying alpha-rule on (1015) yields:
% 67.58/24.63 | (1016) aElement0(all_159_1_306) = all_501_1_342
% 67.58/24.63 | (1017) aElement0(all_11_2_12) = all_501_2_343
% 67.58/24.63 | (1018) aElement0(all_0_1_1) = all_501_0_341
% 67.58/24.63 | (1019) ~ (all_501_1_342 = 0) | ~ (all_501_2_343 = 0) | all_501_0_341 = 0
% 67.58/24.63 |
% 67.58/24.63 | Instantiating (981) with all_503_0_344, all_503_1_345, all_503_2_346 yields:
% 67.58/24.63 | (1020) sdtasdt0(all_159_1_306, all_11_2_12) = all_503_0_344 & aElement0(all_159_1_306) = all_503_1_345 & aElement0(all_11_2_12) = all_503_2_346 & ( ~ (all_503_1_345 = 0) | ~ (all_503_2_346 = 0) | all_503_0_344 = all_0_1_1)
% 67.58/24.63 |
% 67.58/24.63 | Applying alpha-rule on (1020) yields:
% 67.58/24.63 | (1021) sdtasdt0(all_159_1_306, all_11_2_12) = all_503_0_344
% 67.58/24.63 | (1022) aElement0(all_159_1_306) = all_503_1_345
% 67.58/24.63 | (1023) aElement0(all_11_2_12) = all_503_2_346
% 67.58/24.63 | (1024) ~ (all_503_1_345 = 0) | ~ (all_503_2_346 = 0) | all_503_0_344 = all_0_1_1
% 67.58/24.63 |
% 67.58/24.63 | Instantiating (983) with all_505_0_347, all_505_1_348, all_505_2_349 yields:
% 67.58/24.63 | (1025) sdtasdt0(all_0_3_3, all_11_2_12) = all_505_0_347 & aElement0(all_11_2_12) = all_505_2_349 & aElement0(all_0_3_3) = all_505_1_348 & ( ~ (all_505_1_348 = 0) | ~ (all_505_2_349 = 0) | all_505_0_347 = all_157_1_301)
% 67.58/24.63 |
% 67.58/24.63 | Applying alpha-rule on (1025) yields:
% 67.58/24.63 | (1026) sdtasdt0(all_0_3_3, all_11_2_12) = all_505_0_347
% 67.58/24.63 | (1027) aElement0(all_11_2_12) = all_505_2_349
% 67.58/24.63 | (1028) aElement0(all_0_3_3) = all_505_1_348
% 67.58/24.63 | (1029) ~ (all_505_1_348 = 0) | ~ (all_505_2_349 = 0) | all_505_0_347 = all_157_1_301
% 67.58/24.63 |
% 67.58/24.63 | Instantiating (980) with all_511_0_356, all_511_1_357, all_511_2_358 yields:
% 67.58/24.63 | (1030) aElement0(all_163_1_316) = all_511_0_356 & aElement0(all_12_0_13) = all_511_2_358 & aElement0(all_0_3_3) = all_511_1_357 & ( ~ (all_511_1_357 = 0) | ~ (all_511_2_358 = 0) | all_511_0_356 = 0)
% 67.58/24.63 |
% 67.58/24.63 | Applying alpha-rule on (1030) yields:
% 67.58/24.63 | (1031) aElement0(all_163_1_316) = all_511_0_356
% 67.58/24.64 | (1032) aElement0(all_12_0_13) = all_511_2_358
% 67.58/24.64 | (1033) aElement0(all_0_3_3) = all_511_1_357
% 67.58/24.64 | (1034) ~ (all_511_1_357 = 0) | ~ (all_511_2_358 = 0) | all_511_0_356 = 0
% 67.58/24.64 |
% 67.58/24.64 | Instantiating (979) with all_515_0_360, all_515_1_361, all_515_2_362 yields:
% 67.58/24.64 | (1035) sdtasdt0(all_0_3_3, all_12_0_13) = all_515_0_360 & aElement0(all_12_0_13) = all_515_2_362 & aElement0(all_0_3_3) = all_515_1_361 & ( ~ (all_515_1_361 = 0) | ~ (all_515_2_362 = 0) | all_515_0_360 = all_163_1_316)
% 67.58/24.64 |
% 67.58/24.64 | Applying alpha-rule on (1035) yields:
% 67.58/24.64 | (1036) sdtasdt0(all_0_3_3, all_12_0_13) = all_515_0_360
% 67.58/24.64 | (1037) aElement0(all_12_0_13) = all_515_2_362
% 67.58/24.64 | (1038) aElement0(all_0_3_3) = all_515_1_361
% 67.58/24.64 | (1039) ~ (all_515_1_361 = 0) | ~ (all_515_2_362 = 0) | all_515_0_360 = all_163_1_316
% 67.58/24.64 |
% 67.58/24.64 +-Applying beta-rule and splitting (985), into two cases.
% 67.58/24.64 |-Branch one:
% 67.58/24.64 | (671) all_0_0_0 = 0
% 67.58/24.64 |
% 67.58/24.64 | Equations (671) can reduce 198 to:
% 67.58/24.64 | (98) $false
% 67.58/24.64 |
% 67.58/24.64 |-The branch is then unsatisfiable
% 67.58/24.64 |-Branch two:
% 67.58/24.64 | (198) ~ (all_0_0_0 = 0)
% 67.58/24.64 | (1043) ? [v0] : ( ~ (v0 = 0) & aElement0(all_157_1_301) = v0)
% 67.58/24.64 |
% 67.58/24.64 | Instantiating (1043) with all_526_0_372 yields:
% 67.58/24.64 | (1044) ~ (all_526_0_372 = 0) & aElement0(all_157_1_301) = all_526_0_372
% 67.58/24.64 |
% 67.58/24.64 | Applying alpha-rule on (1044) yields:
% 67.58/24.64 | (1045) ~ (all_526_0_372 = 0)
% 67.58/24.64 | (1046) aElement0(all_157_1_301) = all_526_0_372
% 67.58/24.64 |
% 67.58/24.64 | Instantiating formula (55) with all_157_1_301, all_499_0_338, all_526_0_372 and discharging atoms aElement0(all_157_1_301) = all_526_0_372, aElement0(all_157_1_301) = all_499_0_338, yields:
% 67.58/24.64 | (1047) all_526_0_372 = all_499_0_338
% 67.58/24.64 |
% 67.58/24.64 | Instantiating formula (55) with all_157_1_301, all_493_1_330, all_526_0_372 and discharging atoms aElement0(all_157_1_301) = all_526_0_372, aElement0(all_157_1_301) = all_493_1_330, yields:
% 67.58/24.64 | (1048) all_526_0_372 = all_493_1_330
% 67.58/24.64 |
% 67.58/24.64 | Instantiating formula (55) with all_157_1_301, all_491_1_327, all_526_0_372 and discharging atoms aElement0(all_157_1_301) = all_526_0_372, aElement0(all_157_1_301) = all_491_1_327, yields:
% 67.58/24.64 | (1049) all_526_0_372 = all_491_1_327
% 67.58/24.64 |
% 67.58/24.64 | Instantiating formula (55) with all_11_2_12, all_503_2_346, all_505_2_349 and discharging atoms aElement0(all_11_2_12) = all_505_2_349, aElement0(all_11_2_12) = all_503_2_346, yields:
% 67.58/24.64 | (1050) all_505_2_349 = all_503_2_346
% 67.58/24.64 |
% 67.58/24.64 | Instantiating formula (55) with all_11_2_12, all_501_2_343, 0 and discharging atoms aElement0(all_11_2_12) = all_501_2_343, aElement0(all_11_2_12) = 0, yields:
% 67.58/24.64 | (1051) all_501_2_343 = 0
% 67.58/24.64 |
% 67.58/24.64 | Instantiating formula (55) with all_11_2_12, all_501_2_343, all_503_2_346 and discharging atoms aElement0(all_11_2_12) = all_503_2_346, aElement0(all_11_2_12) = all_501_2_343, yields:
% 67.58/24.64 | (1052) all_503_2_346 = all_501_2_343
% 67.58/24.64 |
% 67.58/24.64 | Instantiating formula (55) with all_11_2_12, all_499_2_340, all_505_2_349 and discharging atoms aElement0(all_11_2_12) = all_505_2_349, aElement0(all_11_2_12) = all_499_2_340, yields:
% 67.58/24.64 | (1053) all_505_2_349 = all_499_2_340
% 67.58/24.64 |
% 67.58/24.64 | Instantiating formula (55) with all_0_3_3, all_511_1_357, 0 and discharging atoms aElement0(all_0_3_3) = all_511_1_357, aElement0(all_0_3_3) = 0, yields:
% 67.58/24.64 | (1054) all_511_1_357 = 0
% 67.58/24.64 |
% 67.58/24.64 | Instantiating formula (55) with all_0_3_3, all_511_1_357, all_515_1_361 and discharging atoms aElement0(all_0_3_3) = all_515_1_361, aElement0(all_0_3_3) = all_511_1_357, yields:
% 67.58/24.64 | (1055) all_515_1_361 = all_511_1_357
% 67.58/24.64 |
% 67.58/24.64 | Instantiating formula (55) with all_0_3_3, all_505_1_348, all_515_1_361 and discharging atoms aElement0(all_0_3_3) = all_515_1_361, aElement0(all_0_3_3) = all_505_1_348, yields:
% 67.58/24.64 | (1056) all_515_1_361 = all_505_1_348
% 67.58/24.64 |
% 67.58/24.64 | Instantiating formula (55) with all_0_3_3, all_499_1_339, all_511_1_357 and discharging atoms aElement0(all_0_3_3) = all_511_1_357, aElement0(all_0_3_3) = all_499_1_339, yields:
% 67.58/24.64 | (1057) all_511_1_357 = all_499_1_339
% 67.58/24.64 |
% 67.58/24.64 | Instantiating formula (55) with all_0_3_3, all_497_1_336, all_515_1_361 and discharging atoms aElement0(all_0_3_3) = all_515_1_361, aElement0(all_0_3_3) = all_497_1_336, yields:
% 67.58/24.64 | (1058) all_515_1_361 = all_497_1_336
% 67.58/24.64 |
% 67.58/24.64 | Instantiating formula (55) with all_0_3_3, all_495_1_333, all_511_1_357 and discharging atoms aElement0(all_0_3_3) = all_511_1_357, aElement0(all_0_3_3) = all_495_1_333, yields:
% 67.58/24.64 | (1059) all_511_1_357 = all_495_1_333
% 67.58/24.64 |
% 67.58/24.64 | Combining equations (1049,1047) yields a new equation:
% 67.58/24.64 | (1060) all_499_0_338 = all_491_1_327
% 67.58/24.64 |
% 67.58/24.64 | Combining equations (1048,1047) yields a new equation:
% 67.58/24.64 | (1061) all_499_0_338 = all_493_1_330
% 67.58/24.64 |
% 67.58/24.64 | Combining equations (1058,1056) yields a new equation:
% 67.58/24.64 | (1062) all_505_1_348 = all_497_1_336
% 67.58/24.64 |
% 67.58/24.64 | Combining equations (1055,1056) yields a new equation:
% 67.58/24.64 | (1063) all_511_1_357 = all_505_1_348
% 67.58/24.64 |
% 67.58/24.64 | Simplifying 1063 yields:
% 67.58/24.64 | (1064) all_511_1_357 = all_505_1_348
% 67.58/24.64 |
% 67.58/24.64 | Combining equations (1059,1057) yields a new equation:
% 67.58/24.64 | (1065) all_499_1_339 = all_495_1_333
% 67.58/24.64 |
% 67.58/24.64 | Combining equations (1054,1057) yields a new equation:
% 67.58/24.64 | (1066) all_499_1_339 = 0
% 67.58/24.64 |
% 67.58/24.64 | Combining equations (1064,1057) yields a new equation:
% 67.58/24.64 | (1067) all_505_1_348 = all_499_1_339
% 67.58/24.64 |
% 67.58/24.64 | Simplifying 1067 yields:
% 67.58/24.64 | (1068) all_505_1_348 = all_499_1_339
% 67.58/24.64 |
% 67.58/24.64 | Combining equations (1068,1062) yields a new equation:
% 67.58/24.64 | (1069) all_499_1_339 = all_497_1_336
% 67.58/24.64 |
% 67.58/24.64 | Simplifying 1069 yields:
% 67.58/24.64 | (1070) all_499_1_339 = all_497_1_336
% 67.58/24.64 |
% 67.58/24.64 | Combining equations (1050,1053) yields a new equation:
% 67.58/24.64 | (1071) all_503_2_346 = all_499_2_340
% 67.58/24.64 |
% 67.58/24.64 | Simplifying 1071 yields:
% 67.58/24.64 | (1072) all_503_2_346 = all_499_2_340
% 67.58/24.64 |
% 67.58/24.64 | Combining equations (1052,1072) yields a new equation:
% 67.58/24.64 | (1073) all_501_2_343 = all_499_2_340
% 67.58/24.64 |
% 67.58/24.64 | Simplifying 1073 yields:
% 67.58/24.64 | (1074) all_501_2_343 = all_499_2_340
% 67.58/24.64 |
% 67.58/24.64 | Combining equations (1051,1074) yields a new equation:
% 67.58/24.64 | (1075) all_499_2_340 = 0
% 67.58/24.64 |
% 67.58/24.64 | Combining equations (1060,1061) yields a new equation:
% 67.58/24.64 | (1076) all_493_1_330 = all_491_1_327
% 67.58/24.64 |
% 67.58/24.64 | Combining equations (1065,1070) yields a new equation:
% 67.58/24.64 | (1077) all_497_1_336 = all_495_1_333
% 67.58/24.64 |
% 67.58/24.64 | Combining equations (1066,1070) yields a new equation:
% 67.58/24.64 | (1078) all_497_1_336 = 0
% 67.58/24.64 |
% 67.58/24.64 | Combining equations (1078,1077) yields a new equation:
% 67.58/24.64 | (1079) all_495_1_333 = 0
% 67.58/24.64 |
% 67.58/24.64 | Combining equations (1079,1077) yields a new equation:
% 67.58/24.64 | (1078) all_497_1_336 = 0
% 67.58/24.64 |
% 67.58/24.64 | Combining equations (1078,1070) yields a new equation:
% 67.58/24.64 | (1066) all_499_1_339 = 0
% 67.58/24.64 |
% 67.58/24.64 | Combining equations (1076,1061) yields a new equation:
% 67.58/24.64 | (1060) all_499_0_338 = all_491_1_327
% 67.58/24.64 |
% 67.58/24.64 | Combining equations (1060,1047) yields a new equation:
% 67.58/24.64 | (1049) all_526_0_372 = all_491_1_327
% 67.58/24.64 |
% 67.58/24.64 | Equations (1049) can reduce 1045 to:
% 67.58/24.64 | (1084) ~ (all_491_1_327 = 0)
% 67.58/24.64 |
% 67.58/24.64 +-Applying beta-rule and splitting (1014), into two cases.
% 67.58/24.64 |-Branch one:
% 67.58/24.64 | (1085) ~ (all_499_1_339 = 0)
% 67.58/24.64 |
% 67.58/24.64 | Equations (1066) can reduce 1085 to:
% 67.58/24.64 | (98) $false
% 67.58/24.64 |
% 67.58/24.64 |-The branch is then unsatisfiable
% 67.58/24.64 |-Branch two:
% 67.58/24.64 | (1066) all_499_1_339 = 0
% 67.58/24.64 | (1088) ~ (all_499_2_340 = 0) | all_499_0_338 = 0
% 67.58/24.64 |
% 67.58/24.64 +-Applying beta-rule and splitting (1088), into two cases.
% 67.58/24.64 |-Branch one:
% 67.58/24.64 | (1089) ~ (all_499_2_340 = 0)
% 67.58/24.64 |
% 67.58/24.64 | Equations (1075) can reduce 1089 to:
% 67.58/24.64 | (98) $false
% 67.58/24.64 |
% 67.58/24.64 |-The branch is then unsatisfiable
% 67.58/24.64 |-Branch two:
% 67.58/24.64 | (1075) all_499_2_340 = 0
% 67.58/24.64 | (1092) all_499_0_338 = 0
% 67.58/24.64 |
% 67.58/24.64 | Combining equations (1060,1092) yields a new equation:
% 67.58/24.64 | (1093) all_491_1_327 = 0
% 67.58/24.64 |
% 67.58/24.64 | Simplifying 1093 yields:
% 67.58/24.64 | (1094) all_491_1_327 = 0
% 67.58/24.64 |
% 67.58/24.64 | Equations (1094) can reduce 1084 to:
% 67.58/24.64 | (98) $false
% 67.58/24.64 |
% 67.58/24.64 |-The branch is then unsatisfiable
% 67.58/24.65 |-Branch two:
% 67.58/24.65 | (1096) ~ (all_42_2_25 = 0) & aElement0(xc) = all_42_2_25
% 67.58/24.65 |
% 67.58/24.65 | Applying alpha-rule on (1096) yields:
% 67.58/24.65 | (1097) ~ (all_42_2_25 = 0)
% 67.58/24.65 | (1098) aElement0(xc) = all_42_2_25
% 67.58/24.65 |
% 67.58/24.65 | Instantiating formula (55) with xc, all_42_2_25, 0 and discharging atoms aElement0(xc) = all_42_2_25, aElement0(xc) = 0, yields:
% 67.58/24.65 | (1099) all_42_2_25 = 0
% 67.58/24.65 |
% 67.58/24.65 | Equations (1099) can reduce 1097 to:
% 67.58/24.65 | (98) $false
% 67.58/24.65 |
% 67.58/24.65 |-The branch is then unsatisfiable
% 67.58/24.65 |-Branch two:
% 67.58/24.65 | (1101) ~ (all_21_5_19 = 0) & aSet0(all_0_6_6) = all_21_5_19
% 67.58/24.65 |
% 67.58/24.65 | Applying alpha-rule on (1101) yields:
% 67.58/24.65 | (1102) ~ (all_21_5_19 = 0)
% 67.58/24.65 | (1103) aSet0(all_0_6_6) = all_21_5_19
% 67.58/24.65 |
% 67.58/24.65 | Instantiating formula (76) with all_0_6_6, all_21_5_19, 0 and discharging atoms aSet0(all_0_6_6) = all_21_5_19, aSet0(all_0_6_6) = 0, yields:
% 67.58/24.65 | (1104) all_21_5_19 = 0
% 67.58/24.65 |
% 67.58/24.65 | Equations (1104) can reduce 1102 to:
% 67.58/24.65 | (98) $false
% 67.58/24.65 |
% 67.58/24.65 |-The branch is then unsatisfiable
% 67.58/24.65 |-Branch two:
% 67.58/24.65 | (1106) ~ (all_11_2_12 = 0) & aElement0(xc) = all_11_2_12
% 67.58/24.65 |
% 67.58/24.65 | Applying alpha-rule on (1106) yields:
% 67.58/24.65 | (1107) ~ (all_11_2_12 = 0)
% 67.98/24.65 | (1108) aElement0(xc) = all_11_2_12
% 67.98/24.65 |
% 67.98/24.65 | Instantiating formula (55) with xc, all_11_2_12, 0 and discharging atoms aElement0(xc) = all_11_2_12, aElement0(xc) = 0, yields:
% 67.98/24.65 | (1109) all_11_2_12 = 0
% 67.98/24.65 |
% 67.98/24.65 | Equations (1109) can reduce 1107 to:
% 67.98/24.65 | (98) $false
% 67.98/24.65 |
% 67.98/24.65 |-The branch is then unsatisfiable
% 67.98/24.65 % SZS output end Proof for theBenchmark
% 67.98/24.65
% 67.98/24.65 23968ms
%------------------------------------------------------------------------------