TSTP Solution File: RNG099+2 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : RNG099+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n022.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 21.86s 6.73s
% Output : Proof 52.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : RNG099+2 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon May 30 18:19:52 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.52/0.60 ____ _
% 0.52/0.60 ___ / __ \_____(_)___ ________ __________
% 0.52/0.60 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.52/0.60 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.52/0.60 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.52/0.60
% 0.52/0.60 A Theorem Prover for First-Order Logic
% 0.52/0.60 (ePrincess v.1.0)
% 0.52/0.60
% 0.52/0.60 (c) Philipp Rümmer, 2009-2015
% 0.52/0.61 (c) Peter Backeman, 2014-2015
% 0.52/0.61 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.52/0.61 Free software under GNU Lesser General Public License (LGPL).
% 0.52/0.61 Bug reports to peter@backeman.se
% 0.52/0.61
% 0.52/0.61 For more information, visit http://user.uu.se/~petba168/breu/
% 0.52/0.61
% 0.52/0.61 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.70/0.66 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.71/1.00 Prover 0: Preprocessing ...
% 3.10/1.42 Prover 0: Constructing countermodel ...
% 18.64/5.95 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 18.79/6.02 Prover 1: Preprocessing ...
% 19.22/6.13 Prover 1: Constructing countermodel ...
% 21.86/6.72 Prover 1: proved (775ms)
% 21.86/6.73 Prover 0: stopped
% 21.86/6.73
% 21.86/6.73 No countermodel exists, formula is valid
% 21.86/6.73 % SZS status Theorem for theBenchmark
% 21.86/6.73
% 21.86/6.73 Generating proof ... found it (size 377)
% 51.79/17.77
% 51.79/17.77 % SZS output start Proof for theBenchmark
% 51.79/17.77 Assumed formulas after preprocessing and simplification:
% 51.79/17.77 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ( ~ (sz10 = sz00) & aIdeal0(xJ) = 0 & aIdeal0(xI) = 0 & sdtpldt1(xI, xJ) = v1 & aSet0(xJ) = 0 & aSet0(xI) = 0 & aElementOf0(v7, xJ) = 0 & aElementOf0(v5, xI) = 0 & aElementOf0(xb, xJ) = 0 & aElementOf0(xa, xI) = 0 & sdtasdt0(xy, xa) = v2 & sdtasdt0(xx, xb) = v3 & sdtpldt0(v2, v3) = xw & sdtpldt0(xw, v6) = v7 & sdtpldt0(xw, v4) = v5 & sdtpldt0(xa, xb) = sz10 & smndt0(xy) = v6 & smndt0(xx) = v4 & smndt0(sz10) = v0 & aElement0(xy) = 0 & aElement0(xx) = 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] : ( ~ (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 | ~ (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 | ~ (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] : ( ~ (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 | ~ (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] : (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] : (v10 = 0 | ~ (aSet0(v8) = 0) | ~ (aElement0(v9) = v10) | ? [v11] : ( ~ (v11 = 0) & aElementOf0(v9, v8) = v11)) & ! [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] : ( ~ (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] : ( ~ (aElementOf0(v8, xJ) = 0) | ~ (sdtasdt0(v9, v8) = v10) | ? [v11] : ? [v12] : (aElementOf0(v10, xJ) = v12 & aElement0(v9) = v11 & ( ~ (v11 = 0) | v12 = 0))) & ! [v8] : ! [v9] : ! [v10] : ( ~ (aElementOf0(v8, xI) = 0) | ~ (sdtasdt0(v9, v8) = v10) | ? [v11] : ? [v12] : (aElementOf0(v10, xI) = v12 & aElement0(v9) = v11 & ( ~ (v11 = 0) | v12 = 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] : (v9 = 0 | ~ (aElementOf0(v8, v1) = v9) | ? [v10] : ( ~ (v10 = 0) & aElement0(v8) = v10)) & ! [v8] : ! [v9] : ( ~ (sdteqdtlpzmzozddtrp0(v8, xy, xJ) = v9) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (sdteqdtlpzmzozddtrp0(v8, xx, xI) = v13 & aElementOf0(v14, xJ) = v15 & aElementOf0(v11, xI) = v12 & sdtpldt0(v8, v6) = v14 & sdtpldt0(v8, v4) = v11 & aElement0(v8) = v10 & ( ~ (v10 = 0) | ( ~ (v15 = 0) & ~ (v9 = 0)) | ( ~ (v13 = 0) & ~ (v12 = 0))))) & ! [v8] : ! [v9] : ( ~ (aElementOf0(v9, xJ) = 0) | ~ (aElementOf0(v8, xJ) = 0) | ? [v10] : (aElementOf0(v10, xJ) = 0 & sdtpldt0(v8, v9) = v10)) & ! [v8] : ! [v9] : ( ~ (aElementOf0(v9, xI) = 0) | ~ (aElementOf0(v8, xI) = 0) | ? [v10] : (aElementOf0(v10, xI) = 0 & sdtpldt0(v8, v9) = v10)) & ! [v8] : ! [v9] : ( ~ (aElementOf0(v8, v1) = v9) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ((v14 = v8 & v13 = 0 & v12 = 0 & aElementOf0(v11, xJ) = 0 & aElementOf0(v10, xI) = 0 & sdtpldt0(v10, v11) = v8) | ( ~ (v10 = 0) & aElement0(v8) = v10))) & ! [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))
% 52.17/17.84 | 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:
% 52.17/17.84 | (1) ~ (sz10 = sz00) & aIdeal0(xJ) = 0 & aIdeal0(xI) = 0 & sdtpldt1(xI, xJ) = all_0_6_6 & aSet0(xJ) = 0 & aSet0(xI) = 0 & aElementOf0(all_0_0_0, xJ) = 0 & aElementOf0(all_0_2_2, xI) = 0 & aElementOf0(xb, xJ) = 0 & aElementOf0(xa, xI) = 0 & sdtasdt0(xy, xa) = all_0_5_5 & sdtasdt0(xx, xb) = all_0_4_4 & sdtpldt0(all_0_5_5, all_0_4_4) = xw & sdtpldt0(xw, all_0_1_1) = all_0_0_0 & sdtpldt0(xw, all_0_3_3) = all_0_2_2 & sdtpldt0(xa, xb) = sz10 & smndt0(xy) = all_0_1_1 & smndt0(xx) = all_0_3_3 & smndt0(sz10) = all_0_7_7 & aElement0(xy) = 0 & aElement0(xx) = 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] : ( ~ (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 | ~ (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 | ~ (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] : ( ~ (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 | ~ (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] : (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] : (v2 = 0 | ~ (aSet0(v0) = 0) | ~ (aElement0(v1) = v2) | ? [v3] : ( ~ (v3 = 0) & aElementOf0(v1, v0) = v3)) & ! [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] : ( ~ (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] : ( ~ (aElementOf0(v0, xJ) = 0) | ~ (sdtasdt0(v1, v0) = v2) | ? [v3] : ? [v4] : (aElementOf0(v2, xJ) = v4 & aElement0(v1) = v3 & ( ~ (v3 = 0) | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (aElementOf0(v0, xI) = 0) | ~ (sdtasdt0(v1, v0) = v2) | ? [v3] : ? [v4] : (aElementOf0(v2, xI) = v4 & aElement0(v1) = v3 & ( ~ (v3 = 0) | v4 = 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] : (v1 = 0 | ~ (aElementOf0(v0, all_0_6_6) = v1) | ? [v2] : ( ~ (v2 = 0) & aElement0(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (sdteqdtlpzmzozddtrp0(v0, xy, xJ) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (sdteqdtlpzmzozddtrp0(v0, xx, xI) = v5 & aElementOf0(v6, xJ) = v7 & aElementOf0(v3, xI) = v4 & sdtpldt0(v0, all_0_1_1) = v6 & sdtpldt0(v0, all_0_3_3) = v3 & aElement0(v0) = v2 & ( ~ (v2 = 0) | ( ~ (v7 = 0) & ~ (v1 = 0)) | ( ~ (v5 = 0) & ~ (v4 = 0))))) & ! [v0] : ! [v1] : ( ~ (aElementOf0(v1, xJ) = 0) | ~ (aElementOf0(v0, xJ) = 0) | ? [v2] : (aElementOf0(v2, xJ) = 0 & sdtpldt0(v0, v1) = v2)) & ! [v0] : ! [v1] : ( ~ (aElementOf0(v1, xI) = 0) | ~ (aElementOf0(v0, xI) = 0) | ? [v2] : (aElementOf0(v2, xI) = 0 & sdtpldt0(v0, v1) = v2)) & ! [v0] : ! [v1] : ( ~ (aElementOf0(v0, all_0_6_6) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ((v6 = v0 & v5 = 0 & v4 = 0 & aElementOf0(v3, xJ) = 0 & aElementOf0(v2, xI) = 0 & sdtpldt0(v2, v3) = v0) | ( ~ (v2 = 0) & aElement0(v0) = v2))) & ! [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)
% 52.17/17.86 |
% 52.17/17.86 | Applying alpha-rule on (1) yields:
% 52.17/17.86 | (2) ! [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)))
% 52.17/17.86 | (3) aElementOf0(all_0_2_2, xI) = 0
% 52.17/17.86 | (4) ! [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)))
% 52.17/17.86 | (5) ! [v0] : ! [v1] : ! [v2] : ( ~ (aElementOf0(v0, xI) = 0) | ~ (sdtasdt0(v1, v0) = v2) | ? [v3] : ? [v4] : (aElementOf0(v2, xI) = v4 & aElement0(v1) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 52.17/17.87 | (6) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aIdeal0(v2) = v1) | ~ (aIdeal0(v2) = v0))
% 52.17/17.87 | (7) sdtpldt1(xI, xJ) = all_0_6_6
% 52.17/17.87 | (8) ! [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)))
% 52.17/17.87 | (9) ! [v0] : ! [v1] : ( ~ (sdtasdt0(sz00, v0) = v1) | ? [v2] : ? [v3] : (sdtasdt0(v0, sz00) = v3 & aElement0(v0) = v2 & ( ~ (v2 = 0) | (v3 = sz00 & v1 = sz00))))
% 52.17/17.87 | (10) ! [v0] : ( ~ (aIdeal0(v0) = 0) | aSet0(v0) = 0)
% 52.17/17.87 | (11) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0))
% 52.17/17.87 | (12) aSet0(xI) = 0
% 52.17/17.87 | (13) sdtpldt0(xa, xb) = sz10
% 52.17/17.87 | (14) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (aSet0(v0) = 0) | ~ (aElement0(v1) = v2) | ? [v3] : ( ~ (v3 = 0) & aElementOf0(v1, v0) = v3))
% 52.17/17.87 | (15) ! [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)))))
% 52.17/17.87 | (16) ! [v0] : ! [v1] : ( ~ (smndt0(v0) = v1) | ? [v2] : ? [v3] : (aElement0(v1) = v3 & aElement0(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 52.17/17.87 | (17) ! [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))))
% 52.17/17.87 | (18) sdtasdt0(xx, xb) = all_0_4_4
% 52.17/17.87 | (19) ! [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)))))
% 52.17/17.87 | (20) ! [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))))
% 52.17/17.87 | (21) aElementOf0(xb, xJ) = 0
% 52.17/17.87 | (22) aSet0(xJ) = 0
% 52.17/17.87 | (23) ! [v0] : ! [v1] : ! [v2] : ( ~ (aElementOf0(v0, xJ) = 0) | ~ (sdtasdt0(v1, v0) = v2) | ? [v3] : ? [v4] : (aElementOf0(v2, xJ) = v4 & aElement0(v1) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 52.17/17.87 | (24) ! [v0] : ! [v1] : (v1 = 0 | ~ (aElementOf0(v0, all_0_6_6) = v1) | ? [v2] : ( ~ (v2 = 0) & aElement0(v0) = v2))
% 52.17/17.87 | (25) aElement0(xy) = 0
% 52.17/17.87 | (26) ! [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))
% 52.17/17.87 | (27) ! [v0] : ! [v1] : ( ~ (aElementOf0(v1, xJ) = 0) | ~ (aElementOf0(v0, xJ) = 0) | ? [v2] : (aElementOf0(v2, xJ) = 0 & sdtpldt0(v0, v1) = v2))
% 52.17/17.87 | (28) ! [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))))
% 52.17/17.87 | (29) ! [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)))
% 52.17/17.87 | (30) ! [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))))
% 52.17/17.87 | (31) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aElement0(v2) = v1) | ~ (aElement0(v2) = v0))
% 52.17/17.87 | (32) sdtasdt0(xy, xa) = all_0_5_5
% 52.17/17.87 | (33) aElement0(sz00) = 0
% 52.17/17.87 | (34) ! [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))))
% 52.17/17.88 | (35) smndt0(sz10) = all_0_7_7
% 52.17/17.88 | (36) ! [v0] : ! [v1] : ( ~ (sdtpldt0(sz00, v0) = v1) | ? [v2] : ? [v3] : (sdtpldt0(v0, sz00) = v3 & aElement0(v0) = v2 & ( ~ (v2 = 0) | (v3 = v0 & v1 = v0))))
% 52.17/17.88 | (37) aElement0(sz10) = 0
% 52.17/17.88 | (38) ~ (sz10 = sz00)
% 52.17/17.88 | (39) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtpldt1(v3, v2) = v1) | ~ (sdtpldt1(v3, v2) = v0))
% 52.17/17.88 | (40) smndt0(xy) = all_0_1_1
% 52.17/17.88 | (41) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (smndt0(v2) = v1) | ~ (smndt0(v2) = v0))
% 52.17/17.88 | (42) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (aSet0(v2) = v1) | ~ (aSet0(v2) = v0))
% 52.17/17.88 | (43) ! [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)))
% 52.17/17.88 | (44) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (sdteqdtlpzmzozddtrp0(v4, v3, v2) = v1) | ~ (sdteqdtlpzmzozddtrp0(v4, v3, v2) = v0))
% 52.17/17.88 | (45) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtasdt0(v3, v2) = v1) | ~ (sdtasdt0(v3, v2) = v0))
% 52.17/17.88 | (46) ! [v0] : ! [v1] : ( ~ (sdteqdtlpzmzozddtrp0(v0, xy, xJ) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (sdteqdtlpzmzozddtrp0(v0, xx, xI) = v5 & aElementOf0(v6, xJ) = v7 & aElementOf0(v3, xI) = v4 & sdtpldt0(v0, all_0_1_1) = v6 & sdtpldt0(v0, all_0_3_3) = v3 & aElement0(v0) = v2 & ( ~ (v2 = 0) | ( ~ (v7 = 0) & ~ (v1 = 0)) | ( ~ (v5 = 0) & ~ (v4 = 0)))))
% 52.17/17.88 | (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)))))
% 52.17/17.88 | (48) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (aElementOf0(v3, v2) = v1) | ~ (aElementOf0(v3, v2) = v0))
% 52.17/17.88 | (49) sdtpldt0(xw, all_0_3_3) = all_0_2_2
% 52.17/17.88 | (50) aIdeal0(xJ) = 0
% 52.17/17.88 | (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)))
% 52.17/17.88 | (52) ! [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)))))
% 52.17/17.88 | (53) ! [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)))))
% 52.17/17.88 | (54) ! [v0] : ! [v1] : ( ~ (aElementOf0(v1, xI) = 0) | ~ (aElementOf0(v0, xI) = 0) | ? [v2] : (aElementOf0(v2, xI) = 0 & sdtpldt0(v0, v1) = v2))
% 52.17/17.88 | (55) ! [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)))
% 52.17/17.88 | (56) sdtpldt0(all_0_5_5, all_0_4_4) = xw
% 52.17/17.88 | (57) ! [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)))
% 52.17/17.88 | (58) aElementOf0(all_0_0_0, xJ) = 0
% 52.17/17.88 | (59) ! [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))))
% 52.17/17.89 | (60) ! [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))
% 52.17/17.89 | (61) sdtpldt0(xw, all_0_1_1) = all_0_0_0
% 52.17/17.89 | (62) ! [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)))
% 52.17/17.89 | (63) ! [v0] : ! [v1] : (v1 = sz00 | v0 = sz00 | ~ (sdtasdt0(v0, v1) = sz00) | ? [v2] : ? [v3] : (aElement0(v1) = v3 & aElement0(v0) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))))
% 52.17/17.89 | (64) aElement0(xx) = 0
% 52.17/17.89 | (65) ! [v0] : ! [v1] : ( ~ (aElementOf0(v0, all_0_6_6) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ((v6 = v0 & v5 = 0 & v4 = 0 & aElementOf0(v3, xJ) = 0 & aElementOf0(v2, xI) = 0 & sdtpldt0(v2, v3) = v0) | ( ~ (v2 = 0) & aElement0(v0) = v2)))
% 52.17/17.89 | (66) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtasasdt0(v3, v2) = v1) | ~ (sdtasasdt0(v3, v2) = v0))
% 52.17/17.89 | (67) smndt0(xx) = all_0_3_3
% 52.17/17.89 | (68) ! [v0] : ! [v1] : ( ~ (sdtasdt0(sz10, v0) = v1) | ? [v2] : ? [v3] : (sdtasdt0(v0, sz10) = v3 & aElement0(v0) = v2 & ( ~ (v2 = 0) | (v3 = v0 & v1 = v0))))
% 52.17/17.89 | (69) ! [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)))))
% 52.17/17.89 | (70) aIdeal0(xI) = 0
% 52.17/17.89 | (71) ! [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)))
% 52.17/17.89 | (72) aElementOf0(xa, xI) = 0
% 52.17/17.89 |
% 52.17/17.89 | Instantiating formula (8) with all_0_6_6, xJ, xI and discharging atoms sdtpldt1(xI, xJ) = all_0_6_6, yields:
% 52.17/17.89 | (73) ? [v0] : ? [v1] : ? [v2] : (aIdeal0(all_0_6_6) = v2 & aIdeal0(xJ) = v1 & aIdeal0(xI) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 52.17/17.89 |
% 52.17/17.89 | Instantiating formula (27) with all_0_0_0, all_0_0_0 and discharging atoms aElementOf0(all_0_0_0, xJ) = 0, yields:
% 52.17/17.89 | (74) ? [v0] : (aElementOf0(v0, xJ) = 0 & sdtpldt0(all_0_0_0, all_0_0_0) = v0)
% 52.17/17.89 |
% 52.17/17.89 | Instantiating formula (54) with all_0_2_2, all_0_2_2 and discharging atoms aElementOf0(all_0_2_2, xI) = 0, yields:
% 52.17/17.89 | (75) ? [v0] : (aElementOf0(v0, xI) = 0 & sdtpldt0(all_0_2_2, all_0_2_2) = v0)
% 52.17/17.89 |
% 52.17/17.89 | Instantiating formula (27) with xb, all_0_0_0 and discharging atoms aElementOf0(all_0_0_0, xJ) = 0, aElementOf0(xb, xJ) = 0, yields:
% 52.17/17.89 | (76) ? [v0] : (aElementOf0(v0, xJ) = 0 & sdtpldt0(all_0_0_0, xb) = v0)
% 52.17/17.89 |
% 52.17/17.89 | Instantiating formula (54) with xa, all_0_2_2 and discharging atoms aElementOf0(all_0_2_2, xI) = 0, aElementOf0(xa, xI) = 0, yields:
% 52.17/17.89 | (77) ? [v0] : (aElementOf0(v0, xI) = 0 & sdtpldt0(all_0_2_2, xa) = v0)
% 52.17/17.89 |
% 52.17/17.89 | Instantiating formula (5) with all_0_5_5, xy, xa and discharging atoms aElementOf0(xa, xI) = 0, sdtasdt0(xy, xa) = all_0_5_5, yields:
% 52.17/17.89 | (78) ? [v0] : ? [v1] : (aElementOf0(all_0_5_5, xI) = v1 & aElement0(xy) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 52.17/17.89 |
% 52.17/17.89 | Instantiating formula (4) with all_0_5_5, xa, xy and discharging atoms sdtasdt0(xy, xa) = all_0_5_5, yields:
% 52.17/17.89 | (79) ? [v0] : ? [v1] : ? [v2] : (sdtasdt0(xa, xy) = v2 & aElement0(xa) = v1 & aElement0(xy) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_0_5_5))
% 52.17/17.89 |
% 52.17/17.89 | Instantiating formula (57) with all_0_5_5, xa, xy and discharging atoms sdtasdt0(xy, xa) = all_0_5_5, yields:
% 52.17/17.89 | (80) ? [v0] : ? [v1] : ? [v2] : (aElement0(all_0_5_5) = v2 & aElement0(xa) = v1 & aElement0(xy) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 52.17/17.89 |
% 52.17/17.89 | Instantiating formula (23) with all_0_4_4, xx, xb and discharging atoms aElementOf0(xb, xJ) = 0, sdtasdt0(xx, xb) = all_0_4_4, yields:
% 52.17/17.89 | (81) ? [v0] : ? [v1] : (aElementOf0(all_0_4_4, xJ) = v1 & aElement0(xx) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 52.17/17.90 |
% 52.17/17.90 | Instantiating formula (4) with all_0_4_4, xb, xx and discharging atoms sdtasdt0(xx, xb) = all_0_4_4, yields:
% 52.17/17.90 | (82) ? [v0] : ? [v1] : ? [v2] : (sdtasdt0(xb, xx) = v2 & aElement0(xb) = v1 & aElement0(xx) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_0_4_4))
% 52.17/17.90 |
% 52.17/17.90 | Instantiating formula (57) with all_0_4_4, xb, xx and discharging atoms sdtasdt0(xx, xb) = all_0_4_4, yields:
% 52.17/17.90 | (83) ? [v0] : ? [v1] : ? [v2] : (aElement0(all_0_4_4) = v2 & aElement0(xb) = v1 & aElement0(xx) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 52.17/17.90 |
% 52.17/17.90 | Instantiating formula (55) with xw, all_0_4_4, all_0_5_5 and discharging atoms sdtpldt0(all_0_5_5, all_0_4_4) = xw, yields:
% 52.17/17.90 | (84) ? [v0] : ? [v1] : ? [v2] : (sdtpldt0(all_0_4_4, all_0_5_5) = v2 & aElement0(all_0_4_4) = v1 & aElement0(all_0_5_5) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = xw))
% 52.17/17.90 |
% 52.17/17.90 | Instantiating formula (29) with xw, all_0_4_4, all_0_5_5 and discharging atoms sdtpldt0(all_0_5_5, all_0_4_4) = xw, yields:
% 52.17/17.90 | (85) ? [v0] : ? [v1] : ? [v2] : (aElement0(all_0_4_4) = v1 & aElement0(all_0_5_5) = v0 & aElement0(xw) = v2 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 52.17/17.90 |
% 52.17/17.90 | Instantiating formula (43) with all_0_0_0, xw, all_0_1_1, all_0_4_4, all_0_5_5 and discharging atoms sdtpldt0(all_0_5_5, all_0_4_4) = xw, sdtpldt0(xw, all_0_1_1) = all_0_0_0, yields:
% 52.17/17.90 | (86) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(all_0_4_4, all_0_1_1) = v3 & sdtpldt0(all_0_5_5, v3) = v4 & aElement0(all_0_1_1) = v2 & aElement0(all_0_4_4) = v1 & aElement0(all_0_5_5) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = all_0_0_0))
% 52.17/17.90 |
% 52.17/17.90 | Instantiating formula (55) with all_0_0_0, all_0_1_1, xw and discharging atoms sdtpldt0(xw, all_0_1_1) = all_0_0_0, yields:
% 52.17/17.90 | (87) ? [v0] : ? [v1] : ? [v2] : (sdtpldt0(all_0_1_1, xw) = v2 & aElement0(all_0_1_1) = v1 & aElement0(xw) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_0_0_0))
% 52.17/17.90 |
% 52.17/17.90 | Instantiating formula (29) with all_0_0_0, all_0_1_1, xw and discharging atoms sdtpldt0(xw, all_0_1_1) = all_0_0_0, yields:
% 52.17/17.90 | (88) ? [v0] : ? [v1] : ? [v2] : (aElement0(all_0_0_0) = v2 & aElement0(all_0_1_1) = v1 & aElement0(xw) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 52.17/17.90 |
% 52.17/17.90 | Instantiating formula (43) with all_0_2_2, xw, all_0_3_3, all_0_4_4, all_0_5_5 and discharging atoms sdtpldt0(all_0_5_5, all_0_4_4) = xw, sdtpldt0(xw, all_0_3_3) = all_0_2_2, yields:
% 52.17/17.90 | (89) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(all_0_4_4, all_0_3_3) = v3 & sdtpldt0(all_0_5_5, v3) = v4 & aElement0(all_0_3_3) = v2 & aElement0(all_0_4_4) = v1 & aElement0(all_0_5_5) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = all_0_2_2))
% 52.17/17.90 |
% 52.17/17.90 | Instantiating formula (55) with all_0_2_2, all_0_3_3, xw and discharging atoms sdtpldt0(xw, all_0_3_3) = all_0_2_2, yields:
% 52.17/17.90 | (90) ? [v0] : ? [v1] : ? [v2] : (sdtpldt0(all_0_3_3, xw) = v2 & aElement0(all_0_3_3) = v1 & aElement0(xw) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_0_2_2))
% 52.17/17.90 |
% 52.17/17.90 | Instantiating formula (29) with all_0_2_2, all_0_3_3, xw and discharging atoms sdtpldt0(xw, all_0_3_3) = all_0_2_2, yields:
% 52.17/17.90 | (91) ? [v0] : ? [v1] : ? [v2] : (aElement0(all_0_2_2) = v2 & aElement0(all_0_3_3) = v1 & aElement0(xw) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 52.17/17.90 |
% 52.17/17.90 | Instantiating formula (55) with sz10, xb, xa and discharging atoms sdtpldt0(xa, xb) = sz10, yields:
% 52.17/17.90 | (92) ? [v0] : ? [v1] : ? [v2] : (sdtpldt0(xb, xa) = v2 & aElement0(xb) = v1 & aElement0(xa) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = sz10))
% 52.17/17.90 |
% 52.17/17.90 | Instantiating formula (29) with sz10, xb, xa and discharging atoms sdtpldt0(xa, xb) = sz10, yields:
% 52.17/17.90 | (93) ? [v0] : ? [v1] : ? [v2] : (aElement0(xb) = v1 & aElement0(xa) = v0 & aElement0(sz10) = v2 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 52.17/17.90 |
% 52.17/17.90 | Instantiating formula (69) with 0, all_0_0_0, all_0_1_1, xJ, xy, xw and discharging atoms aElementOf0(all_0_0_0, xJ) = 0, sdtpldt0(xw, all_0_1_1) = all_0_0_0, smndt0(xy) = all_0_1_1, yields:
% 52.17/17.90 | (94) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (sdteqdtlpzmzozddtrp0(xw, xy, xJ) = v3 & aIdeal0(xJ) = v2 & aElement0(xw) = v0 & aElement0(xy) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0))
% 52.17/17.90 |
% 52.17/17.90 | Instantiating formula (16) with all_0_1_1, xy and discharging atoms smndt0(xy) = all_0_1_1, yields:
% 52.17/17.90 | (95) ? [v0] : ? [v1] : (aElement0(all_0_1_1) = v1 & aElement0(xy) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 52.17/17.90 |
% 52.17/17.90 | Instantiating formula (69) with 0, all_0_2_2, all_0_3_3, xI, xx, xw and discharging atoms aElementOf0(all_0_2_2, xI) = 0, sdtpldt0(xw, all_0_3_3) = all_0_2_2, smndt0(xx) = all_0_3_3, yields:
% 52.17/17.90 | (96) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (sdteqdtlpzmzozddtrp0(xw, xx, xI) = v3 & aIdeal0(xI) = v2 & aElement0(xw) = v0 & aElement0(xx) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0))
% 52.17/17.90 |
% 52.17/17.90 | Instantiating formula (16) with all_0_3_3, xx and discharging atoms smndt0(xx) = all_0_3_3, yields:
% 52.17/17.90 | (97) ? [v0] : ? [v1] : (aElement0(all_0_3_3) = v1 & aElement0(xx) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 52.17/17.90 |
% 52.17/17.90 | Instantiating (95) with all_10_0_10, all_10_1_11 yields:
% 52.17/17.90 | (98) aElement0(all_0_1_1) = all_10_0_10 & aElement0(xy) = all_10_1_11 & ( ~ (all_10_1_11 = 0) | all_10_0_10 = 0)
% 52.17/17.90 |
% 52.17/17.90 | Applying alpha-rule on (98) yields:
% 52.17/17.90 | (99) aElement0(all_0_1_1) = all_10_0_10
% 52.17/17.90 | (100) aElement0(xy) = all_10_1_11
% 52.17/17.90 | (101) ~ (all_10_1_11 = 0) | all_10_0_10 = 0
% 52.17/17.90 |
% 52.17/17.90 | Instantiating (94) with all_12_0_12, all_12_1_13, all_12_2_14, all_12_3_15 yields:
% 52.17/17.90 | (102) sdteqdtlpzmzozddtrp0(xw, xy, xJ) = all_12_0_12 & aIdeal0(xJ) = all_12_1_13 & aElement0(xw) = all_12_3_15 & aElement0(xy) = all_12_2_14 & ( ~ (all_12_1_13 = 0) | ~ (all_12_2_14 = 0) | ~ (all_12_3_15 = 0) | all_12_0_12 = 0)
% 52.17/17.90 |
% 52.17/17.90 | Applying alpha-rule on (102) yields:
% 52.17/17.90 | (103) aIdeal0(xJ) = all_12_1_13
% 52.17/17.90 | (104) sdteqdtlpzmzozddtrp0(xw, xy, xJ) = all_12_0_12
% 52.17/17.90 | (105) aElement0(xy) = all_12_2_14
% 52.17/17.90 | (106) aElement0(xw) = all_12_3_15
% 52.17/17.91 | (107) ~ (all_12_1_13 = 0) | ~ (all_12_2_14 = 0) | ~ (all_12_3_15 = 0) | all_12_0_12 = 0
% 52.17/17.91 |
% 52.17/17.91 | Instantiating (93) with all_14_0_16, all_14_1_17, all_14_2_18 yields:
% 52.17/17.91 | (108) aElement0(xb) = all_14_1_17 & aElement0(xa) = all_14_2_18 & aElement0(sz10) = all_14_0_16 & ( ~ (all_14_1_17 = 0) | ~ (all_14_2_18 = 0) | all_14_0_16 = 0)
% 52.17/17.91 |
% 52.17/17.91 | Applying alpha-rule on (108) yields:
% 52.17/17.91 | (109) aElement0(xb) = all_14_1_17
% 52.17/17.91 | (110) aElement0(xa) = all_14_2_18
% 52.17/17.91 | (111) aElement0(sz10) = all_14_0_16
% 52.17/17.91 | (112) ~ (all_14_1_17 = 0) | ~ (all_14_2_18 = 0) | all_14_0_16 = 0
% 52.17/17.91 |
% 52.17/17.91 | Instantiating (92) with all_16_0_19, all_16_1_20, all_16_2_21 yields:
% 52.17/17.91 | (113) sdtpldt0(xb, xa) = all_16_0_19 & aElement0(xb) = all_16_1_20 & aElement0(xa) = all_16_2_21 & ( ~ (all_16_1_20 = 0) | ~ (all_16_2_21 = 0) | all_16_0_19 = sz10)
% 52.17/17.91 |
% 52.17/17.91 | Applying alpha-rule on (113) yields:
% 52.17/17.91 | (114) sdtpldt0(xb, xa) = all_16_0_19
% 52.17/17.91 | (115) aElement0(xb) = all_16_1_20
% 52.17/17.91 | (116) aElement0(xa) = all_16_2_21
% 52.17/17.91 | (117) ~ (all_16_1_20 = 0) | ~ (all_16_2_21 = 0) | all_16_0_19 = sz10
% 52.17/17.91 |
% 52.17/17.91 | Instantiating (97) with all_18_0_22, all_18_1_23 yields:
% 52.17/17.91 | (118) aElement0(all_0_3_3) = all_18_0_22 & aElement0(xx) = all_18_1_23 & ( ~ (all_18_1_23 = 0) | all_18_0_22 = 0)
% 52.17/17.91 |
% 52.17/17.91 | Applying alpha-rule on (118) yields:
% 52.17/17.91 | (119) aElement0(all_0_3_3) = all_18_0_22
% 52.17/17.91 | (120) aElement0(xx) = all_18_1_23
% 52.17/17.91 | (121) ~ (all_18_1_23 = 0) | all_18_0_22 = 0
% 52.17/17.91 |
% 52.17/17.91 | Instantiating (91) with all_20_0_24, all_20_1_25, all_20_2_26 yields:
% 52.17/17.91 | (122) aElement0(all_0_2_2) = all_20_0_24 & aElement0(all_0_3_3) = all_20_1_25 & aElement0(xw) = all_20_2_26 & ( ~ (all_20_1_25 = 0) | ~ (all_20_2_26 = 0) | all_20_0_24 = 0)
% 52.17/17.91 |
% 52.17/17.91 | Applying alpha-rule on (122) yields:
% 52.17/17.91 | (123) aElement0(all_0_2_2) = all_20_0_24
% 52.17/17.91 | (124) aElement0(all_0_3_3) = all_20_1_25
% 52.17/17.91 | (125) aElement0(xw) = all_20_2_26
% 52.17/17.91 | (126) ~ (all_20_1_25 = 0) | ~ (all_20_2_26 = 0) | all_20_0_24 = 0
% 52.17/17.91 |
% 52.17/17.91 | Instantiating (90) with all_22_0_27, all_22_1_28, all_22_2_29 yields:
% 52.17/17.91 | (127) sdtpldt0(all_0_3_3, xw) = all_22_0_27 & aElement0(all_0_3_3) = all_22_1_28 & aElement0(xw) = all_22_2_29 & ( ~ (all_22_1_28 = 0) | ~ (all_22_2_29 = 0) | all_22_0_27 = all_0_2_2)
% 52.17/17.91 |
% 52.17/17.91 | Applying alpha-rule on (127) yields:
% 52.17/17.91 | (128) sdtpldt0(all_0_3_3, xw) = all_22_0_27
% 52.17/17.91 | (129) aElement0(all_0_3_3) = all_22_1_28
% 52.17/17.91 | (130) aElement0(xw) = all_22_2_29
% 52.17/17.91 | (131) ~ (all_22_1_28 = 0) | ~ (all_22_2_29 = 0) | all_22_0_27 = all_0_2_2
% 52.17/17.91 |
% 52.17/17.91 | Instantiating (85) with all_24_0_30, all_24_1_31, all_24_2_32 yields:
% 52.17/17.91 | (132) aElement0(all_0_4_4) = all_24_1_31 & aElement0(all_0_5_5) = all_24_2_32 & aElement0(xw) = all_24_0_30 & ( ~ (all_24_1_31 = 0) | ~ (all_24_2_32 = 0) | all_24_0_30 = 0)
% 52.17/17.91 |
% 52.17/17.91 | Applying alpha-rule on (132) yields:
% 52.17/17.91 | (133) aElement0(all_0_4_4) = all_24_1_31
% 52.17/17.91 | (134) aElement0(all_0_5_5) = all_24_2_32
% 52.17/17.91 | (135) aElement0(xw) = all_24_0_30
% 52.17/17.91 | (136) ~ (all_24_1_31 = 0) | ~ (all_24_2_32 = 0) | all_24_0_30 = 0
% 52.17/17.91 |
% 52.17/17.91 | Instantiating (82) with all_26_0_33, all_26_1_34, all_26_2_35 yields:
% 52.17/17.91 | (137) sdtasdt0(xb, xx) = all_26_0_33 & aElement0(xb) = all_26_1_34 & aElement0(xx) = all_26_2_35 & ( ~ (all_26_1_34 = 0) | ~ (all_26_2_35 = 0) | all_26_0_33 = all_0_4_4)
% 52.17/17.91 |
% 52.17/17.91 | Applying alpha-rule on (137) yields:
% 52.17/17.91 | (138) sdtasdt0(xb, xx) = all_26_0_33
% 52.17/17.91 | (139) aElement0(xb) = all_26_1_34
% 52.17/17.91 | (140) aElement0(xx) = all_26_2_35
% 52.17/17.91 | (141) ~ (all_26_1_34 = 0) | ~ (all_26_2_35 = 0) | all_26_0_33 = all_0_4_4
% 52.17/17.91 |
% 52.17/17.91 | Instantiating (81) with all_28_0_36, all_28_1_37 yields:
% 52.17/17.91 | (142) aElementOf0(all_0_4_4, xJ) = all_28_0_36 & aElement0(xx) = all_28_1_37 & ( ~ (all_28_1_37 = 0) | all_28_0_36 = 0)
% 52.17/17.91 |
% 52.17/17.91 | Applying alpha-rule on (142) yields:
% 52.17/17.91 | (143) aElementOf0(all_0_4_4, xJ) = all_28_0_36
% 52.17/17.91 | (144) aElement0(xx) = all_28_1_37
% 52.17/17.91 | (145) ~ (all_28_1_37 = 0) | all_28_0_36 = 0
% 52.17/17.91 |
% 52.17/17.91 | Instantiating (84) with all_30_0_38, all_30_1_39, all_30_2_40 yields:
% 52.17/17.91 | (146) sdtpldt0(all_0_4_4, all_0_5_5) = all_30_0_38 & aElement0(all_0_4_4) = all_30_1_39 & aElement0(all_0_5_5) = all_30_2_40 & ( ~ (all_30_1_39 = 0) | ~ (all_30_2_40 = 0) | all_30_0_38 = xw)
% 52.17/17.91 |
% 52.17/17.91 | Applying alpha-rule on (146) yields:
% 52.17/17.91 | (147) sdtpldt0(all_0_4_4, all_0_5_5) = all_30_0_38
% 52.17/17.91 | (148) aElement0(all_0_4_4) = all_30_1_39
% 52.17/17.91 | (149) aElement0(all_0_5_5) = all_30_2_40
% 52.17/17.91 | (150) ~ (all_30_1_39 = 0) | ~ (all_30_2_40 = 0) | all_30_0_38 = xw
% 52.17/17.91 |
% 52.17/17.91 | Instantiating (89) with all_32_0_41, all_32_1_42, all_32_2_43, all_32_3_44, all_32_4_45 yields:
% 52.17/17.91 | (151) sdtpldt0(all_0_4_4, all_0_3_3) = all_32_1_42 & sdtpldt0(all_0_5_5, all_32_1_42) = all_32_0_41 & aElement0(all_0_3_3) = all_32_2_43 & aElement0(all_0_4_4) = all_32_3_44 & aElement0(all_0_5_5) = all_32_4_45 & ( ~ (all_32_2_43 = 0) | ~ (all_32_3_44 = 0) | ~ (all_32_4_45 = 0) | all_32_0_41 = all_0_2_2)
% 52.17/17.91 |
% 52.17/17.91 | Applying alpha-rule on (151) yields:
% 52.17/17.91 | (152) sdtpldt0(all_0_5_5, all_32_1_42) = all_32_0_41
% 52.17/17.91 | (153) aElement0(all_0_4_4) = all_32_3_44
% 52.17/17.91 | (154) ~ (all_32_2_43 = 0) | ~ (all_32_3_44 = 0) | ~ (all_32_4_45 = 0) | all_32_0_41 = all_0_2_2
% 52.17/17.91 | (155) sdtpldt0(all_0_4_4, all_0_3_3) = all_32_1_42
% 52.17/17.91 | (156) aElement0(all_0_3_3) = all_32_2_43
% 52.17/17.91 | (157) aElement0(all_0_5_5) = all_32_4_45
% 52.17/17.91 |
% 52.17/17.91 | Instantiating (86) with all_34_0_46, all_34_1_47, all_34_2_48, all_34_3_49, all_34_4_50 yields:
% 52.17/17.91 | (158) sdtpldt0(all_0_4_4, all_0_1_1) = all_34_1_47 & sdtpldt0(all_0_5_5, all_34_1_47) = all_34_0_46 & aElement0(all_0_1_1) = all_34_2_48 & aElement0(all_0_4_4) = all_34_3_49 & aElement0(all_0_5_5) = all_34_4_50 & ( ~ (all_34_2_48 = 0) | ~ (all_34_3_49 = 0) | ~ (all_34_4_50 = 0) | all_34_0_46 = all_0_0_0)
% 52.17/17.92 |
% 52.17/17.92 | Applying alpha-rule on (158) yields:
% 52.17/17.92 | (159) sdtpldt0(all_0_5_5, all_34_1_47) = all_34_0_46
% 52.17/17.92 | (160) aElement0(all_0_5_5) = all_34_4_50
% 52.17/17.92 | (161) aElement0(all_0_1_1) = all_34_2_48
% 52.17/17.92 | (162) aElement0(all_0_4_4) = all_34_3_49
% 52.17/17.92 | (163) ~ (all_34_2_48 = 0) | ~ (all_34_3_49 = 0) | ~ (all_34_4_50 = 0) | all_34_0_46 = all_0_0_0
% 52.17/17.92 | (164) sdtpldt0(all_0_4_4, all_0_1_1) = all_34_1_47
% 52.17/17.92 |
% 52.17/17.92 | Instantiating (80) with all_36_0_51, all_36_1_52, all_36_2_53 yields:
% 52.17/17.92 | (165) aElement0(all_0_5_5) = all_36_0_51 & aElement0(xa) = all_36_1_52 & aElement0(xy) = all_36_2_53 & ( ~ (all_36_1_52 = 0) | ~ (all_36_2_53 = 0) | all_36_0_51 = 0)
% 52.17/17.92 |
% 52.17/17.92 | Applying alpha-rule on (165) yields:
% 52.17/17.92 | (166) aElement0(all_0_5_5) = all_36_0_51
% 52.17/17.92 | (167) aElement0(xa) = all_36_1_52
% 52.17/17.92 | (168) aElement0(xy) = all_36_2_53
% 52.17/17.92 | (169) ~ (all_36_1_52 = 0) | ~ (all_36_2_53 = 0) | all_36_0_51 = 0
% 52.17/17.92 |
% 52.17/17.92 | Instantiating (79) with all_38_0_54, all_38_1_55, all_38_2_56 yields:
% 52.17/17.92 | (170) sdtasdt0(xa, xy) = all_38_0_54 & aElement0(xa) = all_38_1_55 & aElement0(xy) = all_38_2_56 & ( ~ (all_38_1_55 = 0) | ~ (all_38_2_56 = 0) | all_38_0_54 = all_0_5_5)
% 52.17/17.92 |
% 52.17/17.92 | Applying alpha-rule on (170) yields:
% 52.17/17.92 | (171) sdtasdt0(xa, xy) = all_38_0_54
% 52.17/17.92 | (172) aElement0(xa) = all_38_1_55
% 52.17/17.92 | (173) aElement0(xy) = all_38_2_56
% 52.17/17.92 | (174) ~ (all_38_1_55 = 0) | ~ (all_38_2_56 = 0) | all_38_0_54 = all_0_5_5
% 52.17/17.92 |
% 52.17/17.92 | Instantiating (88) with all_40_0_57, all_40_1_58, all_40_2_59 yields:
% 52.17/17.92 | (175) aElement0(all_0_0_0) = all_40_0_57 & aElement0(all_0_1_1) = all_40_1_58 & aElement0(xw) = all_40_2_59 & ( ~ (all_40_1_58 = 0) | ~ (all_40_2_59 = 0) | all_40_0_57 = 0)
% 52.17/17.92 |
% 52.17/17.92 | Applying alpha-rule on (175) yields:
% 52.17/17.92 | (176) aElement0(all_0_0_0) = all_40_0_57
% 52.17/17.92 | (177) aElement0(all_0_1_1) = all_40_1_58
% 52.17/17.92 | (178) aElement0(xw) = all_40_2_59
% 52.17/17.92 | (179) ~ (all_40_1_58 = 0) | ~ (all_40_2_59 = 0) | all_40_0_57 = 0
% 52.17/17.92 |
% 52.17/17.92 | Instantiating (87) with all_42_0_60, all_42_1_61, all_42_2_62 yields:
% 52.17/17.92 | (180) sdtpldt0(all_0_1_1, xw) = all_42_0_60 & aElement0(all_0_1_1) = all_42_1_61 & aElement0(xw) = all_42_2_62 & ( ~ (all_42_1_61 = 0) | ~ (all_42_2_62 = 0) | all_42_0_60 = all_0_0_0)
% 52.17/17.92 |
% 52.17/17.92 | Applying alpha-rule on (180) yields:
% 52.17/17.92 | (181) sdtpldt0(all_0_1_1, xw) = all_42_0_60
% 52.17/17.92 | (182) aElement0(all_0_1_1) = all_42_1_61
% 52.17/17.92 | (183) aElement0(xw) = all_42_2_62
% 52.17/17.92 | (184) ~ (all_42_1_61 = 0) | ~ (all_42_2_62 = 0) | all_42_0_60 = all_0_0_0
% 52.17/17.92 |
% 52.17/17.92 | Instantiating (96) with all_44_0_63, all_44_1_64, all_44_2_65, all_44_3_66 yields:
% 52.17/17.92 | (185) sdteqdtlpzmzozddtrp0(xw, xx, xI) = all_44_0_63 & aIdeal0(xI) = all_44_1_64 & aElement0(xw) = all_44_3_66 & aElement0(xx) = all_44_2_65 & ( ~ (all_44_1_64 = 0) | ~ (all_44_2_65 = 0) | ~ (all_44_3_66 = 0) | all_44_0_63 = 0)
% 52.17/17.92 |
% 52.17/17.92 | Applying alpha-rule on (185) yields:
% 52.17/17.92 | (186) ~ (all_44_1_64 = 0) | ~ (all_44_2_65 = 0) | ~ (all_44_3_66 = 0) | all_44_0_63 = 0
% 52.17/17.92 | (187) sdteqdtlpzmzozddtrp0(xw, xx, xI) = all_44_0_63
% 52.17/17.92 | (188) aElement0(xw) = all_44_3_66
% 52.17/17.92 | (189) aIdeal0(xI) = all_44_1_64
% 52.17/17.92 | (190) aElement0(xx) = all_44_2_65
% 52.17/17.92 |
% 52.17/17.92 | Instantiating (83) with all_46_0_67, all_46_1_68, all_46_2_69 yields:
% 52.17/17.92 | (191) aElement0(all_0_4_4) = all_46_0_67 & aElement0(xb) = all_46_1_68 & aElement0(xx) = all_46_2_69 & ( ~ (all_46_1_68 = 0) | ~ (all_46_2_69 = 0) | all_46_0_67 = 0)
% 52.17/17.92 |
% 52.17/17.92 | Applying alpha-rule on (191) yields:
% 52.17/17.92 | (192) aElement0(all_0_4_4) = all_46_0_67
% 52.17/17.92 | (193) aElement0(xb) = all_46_1_68
% 52.17/17.92 | (194) aElement0(xx) = all_46_2_69
% 52.17/17.92 | (195) ~ (all_46_1_68 = 0) | ~ (all_46_2_69 = 0) | all_46_0_67 = 0
% 52.17/17.92 |
% 52.17/17.92 | Instantiating (76) with all_52_0_72 yields:
% 52.17/17.92 | (196) aElementOf0(all_52_0_72, xJ) = 0 & sdtpldt0(all_0_0_0, xb) = all_52_0_72
% 52.17/17.92 |
% 52.17/17.92 | Applying alpha-rule on (196) yields:
% 52.17/17.92 | (197) aElementOf0(all_52_0_72, xJ) = 0
% 52.17/17.92 | (198) sdtpldt0(all_0_0_0, xb) = all_52_0_72
% 52.17/17.92 |
% 52.17/17.92 | Instantiating (78) with all_54_0_73, all_54_1_74 yields:
% 52.17/17.92 | (199) aElementOf0(all_0_5_5, xI) = all_54_0_73 & aElement0(xy) = all_54_1_74 & ( ~ (all_54_1_74 = 0) | all_54_0_73 = 0)
% 52.17/17.92 |
% 52.17/17.92 | Applying alpha-rule on (199) yields:
% 52.17/17.92 | (200) aElementOf0(all_0_5_5, xI) = all_54_0_73
% 52.17/17.92 | (201) aElement0(xy) = all_54_1_74
% 52.17/17.92 | (202) ~ (all_54_1_74 = 0) | all_54_0_73 = 0
% 52.17/17.92 |
% 52.17/17.92 | Instantiating (75) with all_56_0_75 yields:
% 52.17/17.92 | (203) aElementOf0(all_56_0_75, xI) = 0 & sdtpldt0(all_0_2_2, all_0_2_2) = all_56_0_75
% 52.17/17.92 |
% 52.17/17.92 | Applying alpha-rule on (203) yields:
% 52.17/17.92 | (204) aElementOf0(all_56_0_75, xI) = 0
% 52.17/17.92 | (205) sdtpldt0(all_0_2_2, all_0_2_2) = all_56_0_75
% 52.17/17.92 |
% 52.17/17.92 | Instantiating (74) with all_58_0_76 yields:
% 52.17/17.92 | (206) aElementOf0(all_58_0_76, xJ) = 0 & sdtpldt0(all_0_0_0, all_0_0_0) = all_58_0_76
% 52.17/17.93 |
% 52.17/17.93 | Applying alpha-rule on (206) yields:
% 52.17/17.93 | (207) aElementOf0(all_58_0_76, xJ) = 0
% 52.17/17.93 | (208) sdtpldt0(all_0_0_0, all_0_0_0) = all_58_0_76
% 52.17/17.93 |
% 52.17/17.93 | Instantiating (77) with all_64_0_79 yields:
% 52.17/17.93 | (209) aElementOf0(all_64_0_79, xI) = 0 & sdtpldt0(all_0_2_2, xa) = all_64_0_79
% 52.17/17.93 |
% 52.17/17.93 | Applying alpha-rule on (209) yields:
% 52.17/17.93 | (210) aElementOf0(all_64_0_79, xI) = 0
% 52.17/17.93 | (211) sdtpldt0(all_0_2_2, xa) = all_64_0_79
% 52.17/17.93 |
% 52.17/17.93 | Instantiating (73) with all_66_0_80, all_66_1_81, all_66_2_82 yields:
% 52.17/17.93 | (212) aIdeal0(all_0_6_6) = all_66_0_80 & aIdeal0(xJ) = all_66_1_81 & aIdeal0(xI) = all_66_2_82 & ( ~ (all_66_1_81 = 0) | ~ (all_66_2_82 = 0) | all_66_0_80 = 0)
% 52.17/17.93 |
% 52.17/17.93 | Applying alpha-rule on (212) yields:
% 52.17/17.93 | (213) aIdeal0(all_0_6_6) = all_66_0_80
% 52.17/17.93 | (214) aIdeal0(xJ) = all_66_1_81
% 52.17/17.93 | (215) aIdeal0(xI) = all_66_2_82
% 52.17/17.93 | (216) ~ (all_66_1_81 = 0) | ~ (all_66_2_82 = 0) | all_66_0_80 = 0
% 52.17/17.93 |
% 52.17/17.93 | Instantiating formula (6) with xJ, all_66_1_81, 0 and discharging atoms aIdeal0(xJ) = all_66_1_81, aIdeal0(xJ) = 0, yields:
% 52.17/17.93 | (217) all_66_1_81 = 0
% 52.17/17.93 |
% 52.17/17.93 | Instantiating formula (6) with xJ, all_12_1_13, all_66_1_81 and discharging atoms aIdeal0(xJ) = all_66_1_81, aIdeal0(xJ) = all_12_1_13, yields:
% 52.17/17.93 | (218) all_66_1_81 = all_12_1_13
% 52.17/17.93 |
% 52.17/17.93 | Instantiating formula (6) with xI, all_66_2_82, 0 and discharging atoms aIdeal0(xI) = all_66_2_82, aIdeal0(xI) = 0, yields:
% 52.17/17.93 | (219) all_66_2_82 = 0
% 52.17/17.93 |
% 52.17/17.93 | Instantiating formula (6) with xI, all_44_1_64, all_66_2_82 and discharging atoms aIdeal0(xI) = all_66_2_82, aIdeal0(xI) = all_44_1_64, yields:
% 52.17/17.93 | (220) all_66_2_82 = all_44_1_64
% 52.17/17.93 |
% 52.17/17.93 | Instantiating formula (31) with all_0_1_1, all_40_1_58, all_42_1_61 and discharging atoms aElement0(all_0_1_1) = all_42_1_61, aElement0(all_0_1_1) = all_40_1_58, yields:
% 52.17/17.93 | (221) all_42_1_61 = all_40_1_58
% 52.17/17.93 |
% 52.17/17.93 | Instantiating formula (31) with all_0_1_1, all_34_2_48, all_42_1_61 and discharging atoms aElement0(all_0_1_1) = all_42_1_61, aElement0(all_0_1_1) = all_34_2_48, yields:
% 52.17/17.93 | (222) all_42_1_61 = all_34_2_48
% 52.17/17.93 |
% 52.17/17.93 | Instantiating formula (31) with all_0_1_1, all_10_0_10, all_40_1_58 and discharging atoms aElement0(all_0_1_1) = all_40_1_58, aElement0(all_0_1_1) = all_10_0_10, yields:
% 52.17/17.93 | (223) all_40_1_58 = all_10_0_10
% 52.17/17.93 |
% 52.17/17.93 | Instantiating formula (31) with all_0_3_3, all_22_1_28, all_32_2_43 and discharging atoms aElement0(all_0_3_3) = all_32_2_43, aElement0(all_0_3_3) = all_22_1_28, yields:
% 52.17/17.93 | (224) all_32_2_43 = all_22_1_28
% 52.17/17.93 |
% 52.17/17.93 | Instantiating formula (31) with all_0_3_3, all_20_1_25, all_32_2_43 and discharging atoms aElement0(all_0_3_3) = all_32_2_43, aElement0(all_0_3_3) = all_20_1_25, yields:
% 52.17/17.93 | (225) all_32_2_43 = all_20_1_25
% 52.17/17.93 |
% 52.17/17.93 | Instantiating formula (31) with all_0_3_3, all_18_0_22, all_22_1_28 and discharging atoms aElement0(all_0_3_3) = all_22_1_28, aElement0(all_0_3_3) = all_18_0_22, yields:
% 52.17/17.93 | (226) all_22_1_28 = all_18_0_22
% 52.17/17.93 |
% 52.17/17.93 | Instantiating formula (31) with all_0_4_4, all_34_3_49, all_46_0_67 and discharging atoms aElement0(all_0_4_4) = all_46_0_67, aElement0(all_0_4_4) = all_34_3_49, yields:
% 52.17/17.93 | (227) all_46_0_67 = all_34_3_49
% 52.17/17.93 |
% 52.17/17.93 | Instantiating formula (31) with all_0_4_4, all_32_3_44, all_34_3_49 and discharging atoms aElement0(all_0_4_4) = all_34_3_49, aElement0(all_0_4_4) = all_32_3_44, yields:
% 52.17/17.93 | (228) all_34_3_49 = all_32_3_44
% 52.17/17.93 |
% 52.17/17.93 | Instantiating formula (31) with all_0_4_4, all_30_1_39, all_46_0_67 and discharging atoms aElement0(all_0_4_4) = all_46_0_67, aElement0(all_0_4_4) = all_30_1_39, yields:
% 52.17/17.93 | (229) all_46_0_67 = all_30_1_39
% 52.17/17.93 |
% 52.17/17.93 | Instantiating formula (31) with all_0_4_4, all_24_1_31, all_32_3_44 and discharging atoms aElement0(all_0_4_4) = all_32_3_44, aElement0(all_0_4_4) = all_24_1_31, yields:
% 52.17/17.93 | (230) all_32_3_44 = all_24_1_31
% 52.17/17.93 |
% 52.17/17.93 | Instantiating formula (31) with all_0_5_5, all_34_4_50, all_36_0_51 and discharging atoms aElement0(all_0_5_5) = all_36_0_51, aElement0(all_0_5_5) = all_34_4_50, yields:
% 52.17/17.93 | (231) all_36_0_51 = all_34_4_50
% 52.17/17.93 |
% 52.17/17.93 | Instantiating formula (31) with all_0_5_5, all_32_4_45, all_36_0_51 and discharging atoms aElement0(all_0_5_5) = all_36_0_51, aElement0(all_0_5_5) = all_32_4_45, yields:
% 52.17/17.93 | (232) all_36_0_51 = all_32_4_45
% 52.17/17.93 |
% 52.17/17.93 | Instantiating formula (31) with all_0_5_5, all_24_2_32, all_34_4_50 and discharging atoms aElement0(all_0_5_5) = all_34_4_50, aElement0(all_0_5_5) = all_24_2_32, yields:
% 52.17/17.93 | (233) all_34_4_50 = all_24_2_32
% 52.17/17.93 |
% 52.17/17.93 | Instantiating formula (31) with xw, all_42_2_62, all_44_3_66 and discharging atoms aElement0(xw) = all_44_3_66, aElement0(xw) = all_42_2_62, yields:
% 52.17/17.93 | (234) all_44_3_66 = all_42_2_62
% 52.17/17.93 |
% 52.17/17.93 | Instantiating formula (31) with xw, all_40_2_59, all_44_3_66 and discharging atoms aElement0(xw) = all_44_3_66, aElement0(xw) = all_40_2_59, yields:
% 52.17/17.93 | (235) all_44_3_66 = all_40_2_59
% 52.17/17.93 |
% 52.17/17.93 | Instantiating formula (31) with xw, all_24_0_30, all_40_2_59 and discharging atoms aElement0(xw) = all_40_2_59, aElement0(xw) = all_24_0_30, yields:
% 52.17/17.93 | (236) all_40_2_59 = all_24_0_30
% 52.17/17.94 |
% 52.17/17.94 | Instantiating formula (31) with xw, all_22_2_29, all_44_3_66 and discharging atoms aElement0(xw) = all_44_3_66, aElement0(xw) = all_22_2_29, yields:
% 52.64/17.94 | (237) all_44_3_66 = all_22_2_29
% 52.64/17.94 |
% 52.64/17.94 | Instantiating formula (31) with xw, all_20_2_26, all_24_0_30 and discharging atoms aElement0(xw) = all_24_0_30, aElement0(xw) = all_20_2_26, yields:
% 52.64/17.94 | (238) all_24_0_30 = all_20_2_26
% 52.64/17.94 |
% 52.64/17.94 | Instantiating formula (31) with xw, all_12_3_15, all_24_0_30 and discharging atoms aElement0(xw) = all_24_0_30, aElement0(xw) = all_12_3_15, yields:
% 52.64/17.94 | (239) all_24_0_30 = all_12_3_15
% 52.64/17.94 |
% 52.64/17.94 | Instantiating formula (31) with xb, all_26_1_34, all_46_1_68 and discharging atoms aElement0(xb) = all_46_1_68, aElement0(xb) = all_26_1_34, yields:
% 52.64/17.94 | (240) all_46_1_68 = all_26_1_34
% 52.64/17.94 |
% 52.64/17.94 | Instantiating formula (31) with xb, all_16_1_20, all_46_1_68 and discharging atoms aElement0(xb) = all_46_1_68, aElement0(xb) = all_16_1_20, yields:
% 52.64/17.94 | (241) all_46_1_68 = all_16_1_20
% 52.64/17.94 |
% 52.64/17.94 | Instantiating formula (31) with xb, all_14_1_17, all_46_1_68 and discharging atoms aElement0(xb) = all_46_1_68, aElement0(xb) = all_14_1_17, yields:
% 52.64/17.94 | (242) all_46_1_68 = all_14_1_17
% 52.64/17.94 |
% 52.64/17.94 | Instantiating formula (31) with xa, all_36_1_52, all_38_1_55 and discharging atoms aElement0(xa) = all_38_1_55, aElement0(xa) = all_36_1_52, yields:
% 52.64/17.94 | (243) all_38_1_55 = all_36_1_52
% 52.64/17.94 |
% 52.64/17.94 | Instantiating formula (31) with xa, all_16_2_21, all_36_1_52 and discharging atoms aElement0(xa) = all_36_1_52, aElement0(xa) = all_16_2_21, yields:
% 52.64/17.94 | (244) all_36_1_52 = all_16_2_21
% 52.64/17.94 |
% 52.64/17.94 | Instantiating formula (31) with xa, all_14_2_18, all_38_1_55 and discharging atoms aElement0(xa) = all_38_1_55, aElement0(xa) = all_14_2_18, yields:
% 52.64/17.94 | (245) all_38_1_55 = all_14_2_18
% 52.64/17.94 |
% 52.64/17.94 | Instantiating formula (31) with xy, all_54_1_74, 0 and discharging atoms aElement0(xy) = all_54_1_74, aElement0(xy) = 0, yields:
% 52.64/17.94 | (246) all_54_1_74 = 0
% 52.64/17.94 |
% 52.64/17.94 | Instantiating formula (31) with xy, all_36_2_53, all_38_2_56 and discharging atoms aElement0(xy) = all_38_2_56, aElement0(xy) = all_36_2_53, yields:
% 52.64/17.94 | (247) all_38_2_56 = all_36_2_53
% 52.64/17.94 |
% 52.64/17.94 | Instantiating formula (31) with xy, all_12_2_14, all_54_1_74 and discharging atoms aElement0(xy) = all_54_1_74, aElement0(xy) = all_12_2_14, yields:
% 52.64/17.94 | (248) all_54_1_74 = all_12_2_14
% 52.64/17.94 |
% 52.64/17.94 | Instantiating formula (31) with xy, all_12_2_14, all_38_2_56 and discharging atoms aElement0(xy) = all_38_2_56, aElement0(xy) = all_12_2_14, yields:
% 52.64/17.94 | (249) all_38_2_56 = all_12_2_14
% 52.64/17.94 |
% 52.64/17.94 | Instantiating formula (31) with xy, all_10_1_11, all_38_2_56 and discharging atoms aElement0(xy) = all_38_2_56, aElement0(xy) = all_10_1_11, yields:
% 52.64/17.94 | (250) all_38_2_56 = all_10_1_11
% 52.64/17.94 |
% 52.64/17.94 | Instantiating formula (31) with xx, all_44_2_65, 0 and discharging atoms aElement0(xx) = all_44_2_65, aElement0(xx) = 0, yields:
% 52.64/17.94 | (251) all_44_2_65 = 0
% 52.64/17.94 |
% 52.64/17.94 | Instantiating formula (31) with xx, all_44_2_65, all_46_2_69 and discharging atoms aElement0(xx) = all_46_2_69, aElement0(xx) = all_44_2_65, yields:
% 52.64/17.94 | (252) all_46_2_69 = all_44_2_65
% 52.64/17.94 |
% 52.64/17.94 | Instantiating formula (31) with xx, all_28_1_37, all_46_2_69 and discharging atoms aElement0(xx) = all_46_2_69, aElement0(xx) = all_28_1_37, yields:
% 52.64/17.94 | (253) all_46_2_69 = all_28_1_37
% 52.64/17.94 |
% 52.64/17.94 | Instantiating formula (31) with xx, all_26_2_35, all_44_2_65 and discharging atoms aElement0(xx) = all_44_2_65, aElement0(xx) = all_26_2_35, yields:
% 52.64/17.94 | (254) all_44_2_65 = all_26_2_35
% 52.64/17.94 |
% 52.64/17.94 | Instantiating formula (31) with xx, all_18_1_23, all_44_2_65 and discharging atoms aElement0(xx) = all_44_2_65, aElement0(xx) = all_18_1_23, yields:
% 52.64/17.94 | (255) all_44_2_65 = all_18_1_23
% 52.64/17.94 |
% 52.64/17.94 | Combining equations (217,218) yields a new equation:
% 52.64/17.94 | (256) all_12_1_13 = 0
% 52.64/17.94 |
% 52.64/17.94 | Combining equations (219,220) yields a new equation:
% 52.64/17.94 | (257) all_44_1_64 = 0
% 52.64/17.94 |
% 52.64/17.94 | Combining equations (248,246) yields a new equation:
% 52.64/17.94 | (258) all_12_2_14 = 0
% 52.64/17.94 |
% 52.64/17.94 | Simplifying 258 yields:
% 52.64/17.94 | (259) all_12_2_14 = 0
% 52.64/17.94 |
% 52.64/17.94 | Combining equations (227,229) yields a new equation:
% 52.64/17.94 | (260) all_34_3_49 = all_30_1_39
% 52.64/17.94 |
% 52.64/17.94 | Simplifying 260 yields:
% 52.64/17.94 | (261) all_34_3_49 = all_30_1_39
% 52.64/17.94 |
% 52.64/17.94 | Combining equations (242,240) yields a new equation:
% 52.64/17.94 | (262) all_26_1_34 = all_14_1_17
% 52.64/17.94 |
% 52.64/17.94 | Combining equations (241,240) yields a new equation:
% 52.64/17.94 | (263) all_26_1_34 = all_16_1_20
% 52.64/17.94 |
% 52.64/17.94 | Combining equations (252,253) yields a new equation:
% 52.64/17.94 | (264) all_44_2_65 = all_28_1_37
% 52.64/17.94 |
% 52.64/17.94 | Simplifying 264 yields:
% 52.64/17.94 | (265) all_44_2_65 = all_28_1_37
% 52.64/17.94 |
% 52.64/17.94 | Combining equations (254,265) yields a new equation:
% 52.64/17.94 | (266) all_28_1_37 = all_26_2_35
% 52.64/17.94 |
% 52.64/17.94 | Combining equations (255,265) yields a new equation:
% 52.64/17.94 | (267) all_28_1_37 = all_18_1_23
% 52.64/17.94 |
% 52.64/17.94 | Combining equations (251,265) yields a new equation:
% 52.64/17.94 | (268) all_28_1_37 = 0
% 52.64/17.94 |
% 52.64/17.94 | Combining equations (235,234) yields a new equation:
% 52.64/17.94 | (269) all_42_2_62 = all_40_2_59
% 52.64/17.94 |
% 52.64/17.94 | Combining equations (237,234) yields a new equation:
% 52.64/17.94 | (270) all_42_2_62 = all_22_2_29
% 52.64/17.94 |
% 52.64/17.94 | Combining equations (221,222) yields a new equation:
% 52.64/17.94 | (271) all_40_1_58 = all_34_2_48
% 52.64/17.94 |
% 52.64/17.94 | Simplifying 271 yields:
% 52.64/17.94 | (272) all_40_1_58 = all_34_2_48
% 52.64/17.94 |
% 52.64/17.94 | Combining equations (269,270) yields a new equation:
% 52.64/17.94 | (273) all_40_2_59 = all_22_2_29
% 52.64/17.94 |
% 52.64/17.94 | Simplifying 273 yields:
% 52.64/17.94 | (274) all_40_2_59 = all_22_2_29
% 52.64/17.94 |
% 52.64/17.94 | Combining equations (223,272) yields a new equation:
% 52.64/17.94 | (275) all_34_2_48 = all_10_0_10
% 52.64/17.94 |
% 52.64/17.94 | Combining equations (236,274) yields a new equation:
% 52.64/17.94 | (276) all_24_0_30 = all_22_2_29
% 52.64/17.94 |
% 52.64/17.94 | Simplifying 276 yields:
% 52.64/17.94 | (277) all_24_0_30 = all_22_2_29
% 52.64/17.94 |
% 52.64/17.94 | Combining equations (243,245) yields a new equation:
% 52.64/17.94 | (278) all_36_1_52 = all_14_2_18
% 52.64/17.94 |
% 52.64/17.94 | Simplifying 278 yields:
% 52.64/17.94 | (279) all_36_1_52 = all_14_2_18
% 52.64/17.94 |
% 52.64/17.94 | Combining equations (249,247) yields a new equation:
% 52.64/17.94 | (280) all_36_2_53 = all_12_2_14
% 52.64/17.94 |
% 52.64/17.94 | Combining equations (250,247) yields a new equation:
% 52.64/17.94 | (281) all_36_2_53 = all_10_1_11
% 52.64/17.94 |
% 52.64/17.94 | Combining equations (231,232) yields a new equation:
% 52.64/17.94 | (282) all_34_4_50 = all_32_4_45
% 52.64/17.94 |
% 52.64/17.94 | Simplifying 282 yields:
% 52.64/17.94 | (283) all_34_4_50 = all_32_4_45
% 52.64/17.94 |
% 52.64/17.94 | Combining equations (244,279) yields a new equation:
% 52.64/17.94 | (284) all_16_2_21 = all_14_2_18
% 52.64/17.94 |
% 52.64/17.94 | Simplifying 284 yields:
% 52.64/17.94 | (285) all_16_2_21 = all_14_2_18
% 52.64/17.94 |
% 52.64/17.94 | Combining equations (280,281) yields a new equation:
% 52.64/17.94 | (286) all_12_2_14 = all_10_1_11
% 52.64/17.94 |
% 52.64/17.94 | Simplifying 286 yields:
% 52.64/17.94 | (287) all_12_2_14 = all_10_1_11
% 52.64/17.94 |
% 52.64/17.94 | Combining equations (228,261) yields a new equation:
% 52.64/17.94 | (288) all_32_3_44 = all_30_1_39
% 52.64/17.94 |
% 52.64/17.94 | Simplifying 288 yields:
% 52.64/17.94 | (289) all_32_3_44 = all_30_1_39
% 52.64/17.94 |
% 52.64/17.94 | Combining equations (283,233) yields a new equation:
% 52.64/17.94 | (290) all_32_4_45 = all_24_2_32
% 52.64/17.94 |
% 52.64/17.94 | Simplifying 290 yields:
% 52.64/17.94 | (291) all_32_4_45 = all_24_2_32
% 52.64/17.94 |
% 52.64/17.94 | Combining equations (224,225) yields a new equation:
% 52.64/17.94 | (292) all_22_1_28 = all_20_1_25
% 52.64/17.94 |
% 52.64/17.94 | Simplifying 292 yields:
% 52.64/17.94 | (293) all_22_1_28 = all_20_1_25
% 52.64/17.95 |
% 52.64/17.95 | Combining equations (230,289) yields a new equation:
% 52.64/17.95 | (294) all_30_1_39 = all_24_1_31
% 52.64/17.95 |
% 52.64/17.95 | Combining equations (268,266) yields a new equation:
% 52.64/17.95 | (295) all_26_2_35 = 0
% 52.64/17.95 |
% 52.64/17.95 | Combining equations (267,266) yields a new equation:
% 52.64/17.95 | (296) all_26_2_35 = all_18_1_23
% 52.64/17.95 |
% 52.64/17.95 | Combining equations (262,263) yields a new equation:
% 52.64/17.95 | (297) all_16_1_20 = all_14_1_17
% 52.64/17.95 |
% 52.64/17.95 | Combining equations (296,295) yields a new equation:
% 52.64/17.95 | (298) all_18_1_23 = 0
% 52.64/17.95 |
% 52.64/17.95 | Simplifying 298 yields:
% 52.64/17.95 | (299) all_18_1_23 = 0
% 52.64/17.95 |
% 52.64/17.95 | Combining equations (239,277) yields a new equation:
% 52.64/17.95 | (300) all_22_2_29 = all_12_3_15
% 52.64/17.95 |
% 52.64/17.95 | Combining equations (238,277) yields a new equation:
% 52.64/17.95 | (301) all_22_2_29 = all_20_2_26
% 52.64/17.95 |
% 52.64/17.95 | Combining equations (226,293) yields a new equation:
% 52.64/17.95 | (302) all_20_1_25 = all_18_0_22
% 52.64/17.95 |
% 52.64/17.95 | Combining equations (300,301) yields a new equation:
% 52.64/17.95 | (303) all_20_2_26 = all_12_3_15
% 52.64/17.95 |
% 52.64/17.95 | Combining equations (259,287) yields a new equation:
% 52.64/17.95 | (304) all_10_1_11 = 0
% 52.64/17.95 |
% 52.64/17.95 | Combining equations (304,287) yields a new equation:
% 52.64/17.95 | (259) all_12_2_14 = 0
% 52.64/17.95 |
% 52.64/17.95 | Combining equations (303,301) yields a new equation:
% 52.64/17.95 | (300) all_22_2_29 = all_12_3_15
% 52.64/17.95 |
% 52.64/17.95 | Combining equations (302,293) yields a new equation:
% 52.64/17.95 | (226) all_22_1_28 = all_18_0_22
% 52.64/17.95 |
% 52.64/17.95 | Combining equations (300,277) yields a new equation:
% 52.64/17.95 | (239) all_24_0_30 = all_12_3_15
% 52.64/17.95 |
% 52.64/17.95 | Combining equations (297,263) yields a new equation:
% 52.64/17.95 | (262) all_26_1_34 = all_14_1_17
% 52.64/17.95 |
% 52.64/17.95 | Combining equations (295,266) yields a new equation:
% 52.64/17.95 | (268) all_28_1_37 = 0
% 52.64/17.95 |
% 52.64/17.95 | Combining equations (304,281) yields a new equation:
% 52.64/17.95 | (311) all_36_2_53 = 0
% 52.64/17.95 |
% 52.64/17.95 | Combining equations (291,232) yields a new equation:
% 52.64/17.95 | (312) all_36_0_51 = all_24_2_32
% 52.64/17.95 |
% 52.64/17.95 | Combining equations (300,270) yields a new equation:
% 52.64/17.95 | (313) all_42_2_62 = all_12_3_15
% 52.64/17.95 |
% 52.64/17.95 | Combining equations (275,222) yields a new equation:
% 52.64/17.95 | (314) all_42_1_61 = all_10_0_10
% 52.64/17.95 |
% 52.64/17.95 | Combining equations (313,234) yields a new equation:
% 52.64/17.95 | (315) all_44_3_66 = all_12_3_15
% 52.64/17.95 |
% 52.64/17.95 | Combining equations (268,265) yields a new equation:
% 52.64/17.95 | (251) all_44_2_65 = 0
% 52.64/17.95 |
% 52.64/17.95 | Combining equations (268,253) yields a new equation:
% 52.64/17.95 | (317) all_46_2_69 = 0
% 52.64/17.95 |
% 52.64/17.95 | Combining equations (262,240) yields a new equation:
% 52.64/17.95 | (242) all_46_1_68 = all_14_1_17
% 52.64/17.95 |
% 52.64/17.95 | Combining equations (294,229) yields a new equation:
% 52.64/17.95 | (319) all_46_0_67 = all_24_1_31
% 52.64/17.95 |
% 52.64/17.95 | From (294) and (148) follows:
% 52.64/17.95 | (133) aElement0(all_0_4_4) = all_24_1_31
% 52.64/17.95 |
% 52.64/17.95 | From (303) and (125) follows:
% 52.64/17.95 | (106) aElement0(xw) = all_12_3_15
% 52.64/17.95 |
% 52.64/17.95 | From (297) and (115) follows:
% 52.64/17.95 | (109) aElement0(xb) = all_14_1_17
% 52.64/17.95 |
% 52.64/17.95 | From (285) and (116) follows:
% 52.64/17.95 | (110) aElement0(xa) = all_14_2_18
% 52.64/17.95 |
% 52.64/17.95 +-Applying beta-rule and splitting (101), into two cases.
% 52.64/17.95 |-Branch one:
% 52.64/17.95 | (324) ~ (all_10_1_11 = 0)
% 52.64/17.95 |
% 52.64/17.95 | Equations (304) can reduce 324 to:
% 52.64/17.95 | (325) $false
% 52.64/17.95 |
% 52.64/17.95 |-The branch is then unsatisfiable
% 52.64/17.95 |-Branch two:
% 52.64/17.95 | (304) all_10_1_11 = 0
% 52.64/17.95 | (327) all_10_0_10 = 0
% 52.64/17.95 |
% 52.64/17.95 | Combining equations (327,314) yields a new equation:
% 52.64/17.95 | (328) all_42_1_61 = 0
% 52.64/17.95 |
% 52.64/17.95 +-Applying beta-rule and splitting (121), into two cases.
% 52.64/17.95 |-Branch one:
% 52.64/17.95 | (329) ~ (all_18_1_23 = 0)
% 52.64/17.95 |
% 52.64/17.95 | Equations (299) can reduce 329 to:
% 52.64/17.95 | (325) $false
% 52.64/17.95 |
% 52.64/17.95 |-The branch is then unsatisfiable
% 52.64/17.95 |-Branch two:
% 52.64/17.95 | (299) all_18_1_23 = 0
% 52.64/17.95 | (332) all_18_0_22 = 0
% 52.64/17.95 |
% 52.64/17.95 | Combining equations (332,226) yields a new equation:
% 52.64/17.95 | (333) all_22_1_28 = 0
% 52.64/17.95 |
% 52.64/17.95 | Instantiating formula (46) with all_12_0_12, xw and discharging atoms sdteqdtlpzmzozddtrp0(xw, xy, xJ) = all_12_0_12, yields:
% 52.64/17.95 | (334) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (sdteqdtlpzmzozddtrp0(xw, xx, xI) = v3 & aElementOf0(v4, xJ) = v5 & aElementOf0(v1, xI) = v2 & sdtpldt0(xw, all_0_1_1) = v4 & sdtpldt0(xw, all_0_3_3) = v1 & aElement0(xw) = v0 & ( ~ (v0 = 0) | ( ~ (v5 = 0) & ~ (all_12_0_12 = 0)) | ( ~ (v3 = 0) & ~ (v2 = 0))))
% 52.64/17.95 |
% 52.64/17.95 | Instantiating formula (43) with all_58_0_76, all_0_0_0, all_0_0_0, all_0_1_1, xw and discharging atoms sdtpldt0(all_0_0_0, all_0_0_0) = all_58_0_76, sdtpldt0(xw, all_0_1_1) = all_0_0_0, yields:
% 52.64/17.95 | (335) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(all_0_1_1, all_0_0_0) = v3 & sdtpldt0(xw, v3) = v4 & aElement0(all_0_0_0) = v2 & aElement0(all_0_1_1) = v1 & aElement0(xw) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = all_58_0_76))
% 52.64/17.95 |
% 52.64/17.95 | Instantiating formula (43) with all_52_0_72, all_0_0_0, xb, all_0_1_1, xw and discharging atoms sdtpldt0(all_0_0_0, xb) = all_52_0_72, sdtpldt0(xw, all_0_1_1) = all_0_0_0, yields:
% 52.64/17.95 | (336) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(all_0_1_1, xb) = v3 & sdtpldt0(xw, v3) = v4 & aElement0(all_0_1_1) = v1 & aElement0(xw) = v0 & aElement0(xb) = v2 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = all_52_0_72))
% 52.64/17.95 |
% 52.64/17.95 | Instantiating formula (43) with all_58_0_76, all_0_0_0, all_0_0_0, xw, all_0_1_1 and discharging atoms sdtpldt0(all_0_0_0, all_0_0_0) = all_58_0_76, yields:
% 52.64/17.95 | (337) ~ (sdtpldt0(all_0_1_1, xw) = all_0_0_0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(all_0_1_1, v3) = v4 & sdtpldt0(xw, all_0_0_0) = v3 & aElement0(all_0_0_0) = v2 & aElement0(all_0_1_1) = v0 & aElement0(xw) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = all_58_0_76))
% 52.64/17.95 |
% 52.64/17.95 | Instantiating formula (43) with all_52_0_72, all_0_0_0, xb, xw, all_0_1_1 and discharging atoms sdtpldt0(all_0_0_0, xb) = all_52_0_72, yields:
% 52.64/17.95 | (338) ~ (sdtpldt0(all_0_1_1, xw) = all_0_0_0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(all_0_1_1, v3) = v4 & sdtpldt0(xw, xb) = v3 & aElement0(all_0_1_1) = v0 & aElement0(xw) = v1 & aElement0(xb) = v2 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = all_52_0_72))
% 52.64/17.95 |
% 52.64/17.95 | Instantiating formula (55) with all_42_0_60, xw, all_0_1_1 and discharging atoms sdtpldt0(all_0_1_1, xw) = all_42_0_60, yields:
% 52.64/17.95 | (339) ? [v0] : ? [v1] : ? [v2] : (sdtpldt0(xw, all_0_1_1) = v2 & aElement0(all_0_1_1) = v0 & aElement0(xw) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_42_0_60))
% 52.64/17.95 |
% 52.64/17.95 | Instantiating formula (29) with all_42_0_60, xw, all_0_1_1 and discharging atoms sdtpldt0(all_0_1_1, xw) = all_42_0_60, yields:
% 52.64/17.95 | (340) ? [v0] : ? [v1] : ? [v2] : (aElement0(all_42_0_60) = v2 & aElement0(all_0_1_1) = v0 & aElement0(xw) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 52.64/17.95 |
% 52.64/17.95 | Instantiating formula (43) with all_56_0_75, all_0_2_2, all_0_2_2, all_0_3_3, xw and discharging atoms sdtpldt0(all_0_2_2, all_0_2_2) = all_56_0_75, sdtpldt0(xw, all_0_3_3) = all_0_2_2, yields:
% 52.64/17.95 | (341) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(all_0_3_3, all_0_2_2) = v3 & sdtpldt0(xw, v3) = v4 & aElement0(all_0_2_2) = v2 & aElement0(all_0_3_3) = v1 & aElement0(xw) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = all_56_0_75))
% 52.64/17.95 |
% 52.64/17.95 | Instantiating formula (43) with all_64_0_79, all_0_2_2, xa, all_0_3_3, xw and discharging atoms sdtpldt0(all_0_2_2, xa) = all_64_0_79, sdtpldt0(xw, all_0_3_3) = all_0_2_2, yields:
% 52.64/17.95 | (342) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(all_0_3_3, xa) = v3 & sdtpldt0(xw, v3) = v4 & aElement0(all_0_3_3) = v1 & aElement0(xw) = v0 & aElement0(xa) = v2 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = all_64_0_79))
% 52.64/17.95 |
% 52.64/17.95 | Instantiating formula (43) with all_56_0_75, all_0_2_2, all_0_2_2, xw, all_0_3_3 and discharging atoms sdtpldt0(all_0_2_2, all_0_2_2) = all_56_0_75, yields:
% 52.64/17.95 | (343) ~ (sdtpldt0(all_0_3_3, xw) = all_0_2_2) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(all_0_3_3, v3) = v4 & sdtpldt0(xw, all_0_2_2) = v3 & aElement0(all_0_2_2) = v2 & aElement0(all_0_3_3) = v0 & aElement0(xw) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = all_56_0_75))
% 52.64/17.96 |
% 52.64/17.96 | Instantiating formula (43) with all_64_0_79, all_0_2_2, xa, xw, all_0_3_3 and discharging atoms sdtpldt0(all_0_2_2, xa) = all_64_0_79, yields:
% 52.64/17.96 | (344) ~ (sdtpldt0(all_0_3_3, xw) = all_0_2_2) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(all_0_3_3, v3) = v4 & sdtpldt0(xw, xa) = v3 & aElement0(all_0_3_3) = v0 & aElement0(xw) = v1 & aElement0(xa) = v2 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = all_64_0_79))
% 52.64/17.96 |
% 52.64/17.96 | Instantiating formula (55) with all_22_0_27, xw, all_0_3_3 and discharging atoms sdtpldt0(all_0_3_3, xw) = all_22_0_27, yields:
% 52.64/17.96 | (345) ? [v0] : ? [v1] : ? [v2] : (sdtpldt0(xw, all_0_3_3) = v2 & aElement0(all_0_3_3) = v0 & aElement0(xw) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_22_0_27))
% 52.64/17.96 |
% 52.64/17.96 | Instantiating formula (29) with all_22_0_27, xw, all_0_3_3 and discharging atoms sdtpldt0(all_0_3_3, xw) = all_22_0_27, yields:
% 52.64/17.96 | (346) ? [v0] : ? [v1] : ? [v2] : (aElement0(all_22_0_27) = v2 & aElement0(all_0_3_3) = v0 & aElement0(xw) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 52.64/17.96 |
% 52.64/17.96 | Instantiating formula (14) with all_24_1_31, all_0_4_4, xJ and discharging atoms aSet0(xJ) = 0, aElement0(all_0_4_4) = all_24_1_31, yields:
% 52.64/17.96 | (347) all_24_1_31 = 0 | ? [v0] : ( ~ (v0 = 0) & aElementOf0(all_0_4_4, xJ) = v0)
% 52.64/17.96 |
% 52.64/17.96 | Instantiating formula (14) with all_24_1_31, all_0_4_4, xI and discharging atoms aSet0(xI) = 0, aElement0(all_0_4_4) = all_24_1_31, yields:
% 52.64/17.96 | (348) all_24_1_31 = 0 | ? [v0] : ( ~ (v0 = 0) & aElementOf0(all_0_4_4, xI) = v0)
% 52.64/17.96 |
% 52.64/17.96 | Instantiating formula (14) with all_14_1_17, xb, xJ and discharging atoms aSet0(xJ) = 0, aElement0(xb) = all_14_1_17, yields:
% 52.64/17.96 | (349) all_14_1_17 = 0 | ? [v0] : ( ~ (v0 = 0) & aElementOf0(xb, xJ) = v0)
% 52.64/17.96 |
% 52.64/17.96 | Instantiating formula (14) with all_14_2_18, xa, xI and discharging atoms aSet0(xI) = 0, aElement0(xa) = all_14_2_18, yields:
% 52.64/17.96 | (350) all_14_2_18 = 0 | ? [v0] : ( ~ (v0 = 0) & aElementOf0(xa, xI) = v0)
% 52.64/17.96 |
% 52.64/17.96 | Instantiating (334) with all_180_0_150, all_180_1_151, all_180_2_152, all_180_3_153, all_180_4_154, all_180_5_155 yields:
% 52.64/17.96 | (351) sdteqdtlpzmzozddtrp0(xw, xx, xI) = all_180_2_152 & aElementOf0(all_180_1_151, xJ) = all_180_0_150 & aElementOf0(all_180_4_154, xI) = all_180_3_153 & sdtpldt0(xw, all_0_1_1) = all_180_1_151 & sdtpldt0(xw, all_0_3_3) = all_180_4_154 & aElement0(xw) = all_180_5_155 & ( ~ (all_180_5_155 = 0) | ( ~ (all_180_0_150 = 0) & ~ (all_12_0_12 = 0)) | ( ~ (all_180_2_152 = 0) & ~ (all_180_3_153 = 0)))
% 52.64/17.96 |
% 52.64/17.96 | Applying alpha-rule on (351) yields:
% 52.64/17.96 | (352) aElement0(xw) = all_180_5_155
% 52.64/17.96 | (353) aElementOf0(all_180_1_151, xJ) = all_180_0_150
% 52.64/17.96 | (354) sdtpldt0(xw, all_0_3_3) = all_180_4_154
% 52.64/17.96 | (355) ~ (all_180_5_155 = 0) | ( ~ (all_180_0_150 = 0) & ~ (all_12_0_12 = 0)) | ( ~ (all_180_2_152 = 0) & ~ (all_180_3_153 = 0))
% 52.64/17.96 | (356) aElementOf0(all_180_4_154, xI) = all_180_3_153
% 52.64/17.96 | (357) sdtpldt0(xw, all_0_1_1) = all_180_1_151
% 52.64/17.96 | (358) sdteqdtlpzmzozddtrp0(xw, xx, xI) = all_180_2_152
% 52.64/17.96 |
% 52.64/17.96 | Instantiating (346) with all_194_0_164, all_194_1_165, all_194_2_166 yields:
% 52.64/17.96 | (359) aElement0(all_22_0_27) = all_194_0_164 & aElement0(all_0_3_3) = all_194_2_166 & aElement0(xw) = all_194_1_165 & ( ~ (all_194_1_165 = 0) | ~ (all_194_2_166 = 0) | all_194_0_164 = 0)
% 52.64/17.96 |
% 52.64/17.96 | Applying alpha-rule on (359) yields:
% 52.64/17.96 | (360) aElement0(all_22_0_27) = all_194_0_164
% 52.64/17.96 | (361) aElement0(all_0_3_3) = all_194_2_166
% 52.64/17.96 | (362) aElement0(xw) = all_194_1_165
% 52.64/17.96 | (363) ~ (all_194_1_165 = 0) | ~ (all_194_2_166 = 0) | all_194_0_164 = 0
% 52.64/17.96 |
% 52.64/17.96 | Instantiating (345) with all_196_0_167, all_196_1_168, all_196_2_169 yields:
% 52.64/17.96 | (364) sdtpldt0(xw, all_0_3_3) = all_196_0_167 & aElement0(all_0_3_3) = all_196_2_169 & aElement0(xw) = all_196_1_168 & ( ~ (all_196_1_168 = 0) | ~ (all_196_2_169 = 0) | all_196_0_167 = all_22_0_27)
% 52.64/17.96 |
% 52.64/17.96 | Applying alpha-rule on (364) yields:
% 52.64/17.96 | (365) sdtpldt0(xw, all_0_3_3) = all_196_0_167
% 52.64/17.96 | (366) aElement0(all_0_3_3) = all_196_2_169
% 52.64/17.96 | (367) aElement0(xw) = all_196_1_168
% 52.64/17.96 | (368) ~ (all_196_1_168 = 0) | ~ (all_196_2_169 = 0) | all_196_0_167 = all_22_0_27
% 52.64/17.96 |
% 52.64/17.96 | Instantiating (342) with all_198_0_170, all_198_1_171, all_198_2_172, all_198_3_173, all_198_4_174 yields:
% 52.64/17.96 | (369) sdtpldt0(all_0_3_3, xa) = all_198_1_171 & sdtpldt0(xw, all_198_1_171) = all_198_0_170 & aElement0(all_0_3_3) = all_198_3_173 & aElement0(xw) = all_198_4_174 & aElement0(xa) = all_198_2_172 & ( ~ (all_198_2_172 = 0) | ~ (all_198_3_173 = 0) | ~ (all_198_4_174 = 0) | all_198_0_170 = all_64_0_79)
% 52.64/17.96 |
% 52.64/17.96 | Applying alpha-rule on (369) yields:
% 52.64/17.96 | (370) aElement0(all_0_3_3) = all_198_3_173
% 52.64/17.96 | (371) sdtpldt0(xw, all_198_1_171) = all_198_0_170
% 52.64/17.96 | (372) aElement0(xa) = all_198_2_172
% 52.64/17.96 | (373) ~ (all_198_2_172 = 0) | ~ (all_198_3_173 = 0) | ~ (all_198_4_174 = 0) | all_198_0_170 = all_64_0_79
% 52.64/17.96 | (374) sdtpldt0(all_0_3_3, xa) = all_198_1_171
% 52.64/17.96 | (375) aElement0(xw) = all_198_4_174
% 52.64/17.96 |
% 52.64/17.96 | Instantiating (341) with all_222_0_190, all_222_1_191, all_222_2_192, all_222_3_193, all_222_4_194 yields:
% 52.64/17.96 | (376) sdtpldt0(all_0_3_3, all_0_2_2) = all_222_1_191 & sdtpldt0(xw, all_222_1_191) = all_222_0_190 & aElement0(all_0_2_2) = all_222_2_192 & aElement0(all_0_3_3) = all_222_3_193 & aElement0(xw) = all_222_4_194 & ( ~ (all_222_2_192 = 0) | ~ (all_222_3_193 = 0) | ~ (all_222_4_194 = 0) | all_222_0_190 = all_56_0_75)
% 52.64/17.96 |
% 52.64/17.96 | Applying alpha-rule on (376) yields:
% 52.64/17.96 | (377) aElement0(all_0_2_2) = all_222_2_192
% 52.64/17.96 | (378) aElement0(all_0_3_3) = all_222_3_193
% 52.64/17.96 | (379) aElement0(xw) = all_222_4_194
% 52.64/17.96 | (380) ~ (all_222_2_192 = 0) | ~ (all_222_3_193 = 0) | ~ (all_222_4_194 = 0) | all_222_0_190 = all_56_0_75
% 52.64/17.96 | (381) sdtpldt0(xw, all_222_1_191) = all_222_0_190
% 52.64/17.96 | (382) sdtpldt0(all_0_3_3, all_0_2_2) = all_222_1_191
% 52.64/17.96 |
% 52.64/17.96 | Instantiating (340) with all_266_0_230, all_266_1_231, all_266_2_232 yields:
% 52.64/17.96 | (383) aElement0(all_42_0_60) = all_266_0_230 & aElement0(all_0_1_1) = all_266_2_232 & aElement0(xw) = all_266_1_231 & ( ~ (all_266_1_231 = 0) | ~ (all_266_2_232 = 0) | all_266_0_230 = 0)
% 52.64/17.96 |
% 52.64/17.96 | Applying alpha-rule on (383) yields:
% 52.64/17.96 | (384) aElement0(all_42_0_60) = all_266_0_230
% 52.64/17.96 | (385) aElement0(all_0_1_1) = all_266_2_232
% 52.64/17.96 | (386) aElement0(xw) = all_266_1_231
% 52.64/17.96 | (387) ~ (all_266_1_231 = 0) | ~ (all_266_2_232 = 0) | all_266_0_230 = 0
% 52.64/17.96 |
% 52.64/17.96 | Instantiating (339) with all_272_0_235, all_272_1_236, all_272_2_237 yields:
% 52.64/17.96 | (388) sdtpldt0(xw, all_0_1_1) = all_272_0_235 & aElement0(all_0_1_1) = all_272_2_237 & aElement0(xw) = all_272_1_236 & ( ~ (all_272_1_236 = 0) | ~ (all_272_2_237 = 0) | all_272_0_235 = all_42_0_60)
% 52.64/17.96 |
% 52.64/17.96 | Applying alpha-rule on (388) yields:
% 52.64/17.96 | (389) sdtpldt0(xw, all_0_1_1) = all_272_0_235
% 52.64/17.96 | (390) aElement0(all_0_1_1) = all_272_2_237
% 52.64/17.96 | (391) aElement0(xw) = all_272_1_236
% 52.64/17.96 | (392) ~ (all_272_1_236 = 0) | ~ (all_272_2_237 = 0) | all_272_0_235 = all_42_0_60
% 52.64/17.96 |
% 52.64/17.96 | Instantiating (336) with all_282_0_242, all_282_1_243, all_282_2_244, all_282_3_245, all_282_4_246 yields:
% 52.64/17.96 | (393) sdtpldt0(all_0_1_1, xb) = all_282_1_243 & sdtpldt0(xw, all_282_1_243) = all_282_0_242 & aElement0(all_0_1_1) = all_282_3_245 & aElement0(xw) = all_282_4_246 & aElement0(xb) = all_282_2_244 & ( ~ (all_282_2_244 = 0) | ~ (all_282_3_245 = 0) | ~ (all_282_4_246 = 0) | all_282_0_242 = all_52_0_72)
% 52.64/17.96 |
% 52.64/17.96 | Applying alpha-rule on (393) yields:
% 52.64/17.96 | (394) aElement0(xw) = all_282_4_246
% 52.64/17.96 | (395) sdtpldt0(all_0_1_1, xb) = all_282_1_243
% 52.64/17.96 | (396) aElement0(all_0_1_1) = all_282_3_245
% 52.64/17.96 | (397) sdtpldt0(xw, all_282_1_243) = all_282_0_242
% 52.64/17.96 | (398) ~ (all_282_2_244 = 0) | ~ (all_282_3_245 = 0) | ~ (all_282_4_246 = 0) | all_282_0_242 = all_52_0_72
% 52.64/17.96 | (399) aElement0(xb) = all_282_2_244
% 52.64/17.96 |
% 52.64/17.96 | Instantiating (335) with all_284_0_247, all_284_1_248, all_284_2_249, all_284_3_250, all_284_4_251 yields:
% 52.64/17.96 | (400) sdtpldt0(all_0_1_1, all_0_0_0) = all_284_1_248 & sdtpldt0(xw, all_284_1_248) = all_284_0_247 & aElement0(all_0_0_0) = all_284_2_249 & aElement0(all_0_1_1) = all_284_3_250 & aElement0(xw) = all_284_4_251 & ( ~ (all_284_2_249 = 0) | ~ (all_284_3_250 = 0) | ~ (all_284_4_251 = 0) | all_284_0_247 = all_58_0_76)
% 52.64/17.97 |
% 52.64/17.97 | Applying alpha-rule on (400) yields:
% 52.64/17.97 | (401) ~ (all_284_2_249 = 0) | ~ (all_284_3_250 = 0) | ~ (all_284_4_251 = 0) | all_284_0_247 = all_58_0_76
% 52.64/17.97 | (402) sdtpldt0(xw, all_284_1_248) = all_284_0_247
% 52.64/17.97 | (403) aElement0(all_0_0_0) = all_284_2_249
% 52.64/17.97 | (404) aElement0(xw) = all_284_4_251
% 52.64/17.97 | (405) aElement0(all_0_1_1) = all_284_3_250
% 52.64/17.97 | (406) sdtpldt0(all_0_1_1, all_0_0_0) = all_284_1_248
% 52.64/17.97 |
% 52.64/17.97 +-Applying beta-rule and splitting (350), into two cases.
% 52.64/17.97 |-Branch one:
% 52.64/17.97 | (407) all_14_2_18 = 0
% 52.64/17.97 |
% 52.64/17.97 | Combining equations (407,279) yields a new equation:
% 52.64/17.97 | (408) all_36_1_52 = 0
% 52.64/17.97 |
% 52.64/17.97 +-Applying beta-rule and splitting (169), into two cases.
% 52.64/17.97 |-Branch one:
% 52.64/17.97 | (409) ~ (all_36_1_52 = 0)
% 52.64/17.97 |
% 52.64/17.97 | Equations (408) can reduce 409 to:
% 52.64/17.97 | (325) $false
% 52.64/17.97 |
% 52.64/17.97 |-The branch is then unsatisfiable
% 52.64/17.97 |-Branch two:
% 52.64/17.97 | (408) all_36_1_52 = 0
% 52.64/17.97 | (412) ~ (all_36_2_53 = 0) | all_36_0_51 = 0
% 52.64/17.97 |
% 52.64/17.97 +-Applying beta-rule and splitting (412), into two cases.
% 52.64/17.97 |-Branch one:
% 52.64/17.97 | (413) ~ (all_36_2_53 = 0)
% 52.64/17.97 |
% 52.64/17.97 | Equations (311) can reduce 413 to:
% 52.64/17.97 | (325) $false
% 52.64/17.97 |
% 52.64/17.97 |-The branch is then unsatisfiable
% 52.64/17.97 |-Branch two:
% 52.64/17.97 | (311) all_36_2_53 = 0
% 52.64/17.97 | (416) all_36_0_51 = 0
% 52.64/17.97 |
% 52.64/17.97 | Combining equations (416,312) yields a new equation:
% 52.64/17.97 | (417) all_24_2_32 = 0
% 52.64/17.97 |
% 52.64/17.97 +-Applying beta-rule and splitting (349), into two cases.
% 52.64/17.97 |-Branch one:
% 52.64/17.97 | (418) all_14_1_17 = 0
% 52.64/17.97 |
% 52.64/17.97 | Combining equations (418,242) yields a new equation:
% 52.64/17.97 | (419) all_46_1_68 = 0
% 52.64/17.97 |
% 52.64/17.97 +-Applying beta-rule and splitting (347), into two cases.
% 52.64/17.97 |-Branch one:
% 52.64/17.97 | (420) all_24_1_31 = 0
% 52.64/17.97 |
% 52.64/17.97 +-Applying beta-rule and splitting (136), into two cases.
% 52.64/17.97 |-Branch one:
% 52.64/17.97 | (421) ~ (all_24_1_31 = 0)
% 52.64/17.97 |
% 52.64/17.97 | Equations (420) can reduce 421 to:
% 52.64/17.97 | (325) $false
% 52.64/17.97 |
% 52.64/17.97 |-The branch is then unsatisfiable
% 52.64/17.97 |-Branch two:
% 52.64/17.97 | (420) all_24_1_31 = 0
% 52.64/17.97 | (424) ~ (all_24_2_32 = 0) | all_24_0_30 = 0
% 52.64/17.97 |
% 52.64/17.97 +-Applying beta-rule and splitting (424), into two cases.
% 52.64/17.97 |-Branch one:
% 52.64/17.97 | (425) ~ (all_24_2_32 = 0)
% 52.64/17.97 |
% 52.64/17.97 | Equations (417) can reduce 425 to:
% 52.64/17.97 | (325) $false
% 52.64/17.97 |
% 52.64/17.97 |-The branch is then unsatisfiable
% 52.64/17.97 |-Branch two:
% 52.64/17.97 | (417) all_24_2_32 = 0
% 52.64/17.97 | (428) all_24_0_30 = 0
% 52.64/17.97 |
% 52.64/17.97 | Combining equations (239,428) yields a new equation:
% 52.64/17.97 | (429) all_12_3_15 = 0
% 52.64/17.97 |
% 52.64/17.97 | Simplifying 429 yields:
% 52.64/17.97 | (430) all_12_3_15 = 0
% 52.64/17.97 |
% 52.64/17.97 | Combining equations (430,300) yields a new equation:
% 52.64/17.97 | (431) all_22_2_29 = 0
% 52.64/17.97 |
% 52.64/17.97 | Combining equations (430,313) yields a new equation:
% 52.64/17.97 | (432) all_42_2_62 = 0
% 52.64/17.97 |
% 52.64/17.97 | Combining equations (430,315) yields a new equation:
% 52.64/17.97 | (433) all_44_3_66 = 0
% 52.64/17.97 |
% 52.64/17.97 | From (430) and (106) follows:
% 52.64/17.97 | (434) aElement0(xw) = 0
% 52.64/17.97 |
% 52.64/17.97 +-Applying beta-rule and splitting (186), into two cases.
% 52.64/17.97 |-Branch one:
% 52.64/17.97 | (435) ~ (all_44_1_64 = 0)
% 52.64/17.97 |
% 52.64/17.97 | Equations (257) can reduce 435 to:
% 52.64/17.97 | (325) $false
% 52.64/17.97 |
% 52.64/17.97 |-The branch is then unsatisfiable
% 52.64/17.97 |-Branch two:
% 52.64/17.97 | (257) all_44_1_64 = 0
% 52.64/17.97 | (438) ~ (all_44_2_65 = 0) | ~ (all_44_3_66 = 0) | all_44_0_63 = 0
% 52.64/17.97 |
% 52.64/17.97 +-Applying beta-rule and splitting (107), into two cases.
% 52.64/17.97 |-Branch one:
% 52.64/17.97 | (439) ~ (all_12_1_13 = 0)
% 52.64/17.97 |
% 52.64/17.97 | Equations (256) can reduce 439 to:
% 52.64/17.97 | (325) $false
% 52.64/17.97 |
% 52.64/17.97 |-The branch is then unsatisfiable
% 52.64/17.97 |-Branch two:
% 52.64/17.97 | (256) all_12_1_13 = 0
% 52.64/17.97 | (442) ~ (all_12_2_14 = 0) | ~ (all_12_3_15 = 0) | all_12_0_12 = 0
% 52.64/17.97 |
% 52.64/17.97 +-Applying beta-rule and splitting (438), into two cases.
% 52.64/17.97 |-Branch one:
% 52.64/17.97 | (443) ~ (all_44_2_65 = 0)
% 52.64/17.97 |
% 52.64/17.97 | Equations (251) can reduce 443 to:
% 52.64/17.97 | (325) $false
% 52.64/17.97 |
% 52.64/17.97 |-The branch is then unsatisfiable
% 52.64/17.97 |-Branch two:
% 52.64/17.97 | (251) all_44_2_65 = 0
% 52.64/17.97 | (446) ~ (all_44_3_66 = 0) | all_44_0_63 = 0
% 52.64/17.97 |
% 52.64/17.97 +-Applying beta-rule and splitting (442), into two cases.
% 52.64/17.97 |-Branch one:
% 52.64/17.97 | (447) ~ (all_12_2_14 = 0)
% 52.64/17.97 |
% 52.64/17.97 | Equations (259) can reduce 447 to:
% 52.64/17.97 | (325) $false
% 52.64/17.97 |
% 52.64/17.97 |-The branch is then unsatisfiable
% 52.64/17.97 |-Branch two:
% 52.64/17.97 | (259) all_12_2_14 = 0
% 52.64/17.97 | (450) ~ (all_12_3_15 = 0) | all_12_0_12 = 0
% 52.64/17.97 |
% 52.64/17.97 +-Applying beta-rule and splitting (450), into two cases.
% 52.64/17.97 |-Branch one:
% 52.64/17.97 | (451) ~ (all_12_3_15 = 0)
% 52.64/17.97 |
% 52.64/17.97 | Equations (430) can reduce 451 to:
% 52.64/17.97 | (325) $false
% 52.64/17.97 |
% 52.64/17.97 |-The branch is then unsatisfiable
% 52.64/17.97 |-Branch two:
% 52.64/17.97 | (430) all_12_3_15 = 0
% 52.64/17.97 | (454) all_12_0_12 = 0
% 52.64/17.97 |
% 52.64/17.97 +-Applying beta-rule and splitting (446), into two cases.
% 52.64/17.97 |-Branch one:
% 52.64/17.97 | (455) ~ (all_44_3_66 = 0)
% 52.64/17.97 |
% 52.64/17.97 | Equations (433) can reduce 455 to:
% 52.64/17.97 | (325) $false
% 52.64/17.97 |
% 52.64/17.97 |-The branch is then unsatisfiable
% 52.64/17.97 |-Branch two:
% 52.64/17.97 | (433) all_44_3_66 = 0
% 52.64/17.97 | (458) all_44_0_63 = 0
% 52.64/17.97 |
% 52.64/17.97 | From (458) and (187) follows:
% 52.64/17.97 | (459) sdteqdtlpzmzozddtrp0(xw, xx, xI) = 0
% 52.64/17.97 |
% 52.64/17.97 +-Applying beta-rule and splitting (131), into two cases.
% 52.64/17.97 |-Branch one:
% 52.64/17.97 | (460) ~ (all_22_1_28 = 0)
% 52.64/17.97 |
% 52.64/17.97 | Equations (333) can reduce 460 to:
% 52.64/17.97 | (325) $false
% 52.64/17.97 |
% 52.64/17.97 |-The branch is then unsatisfiable
% 52.64/17.97 |-Branch two:
% 52.64/17.97 | (333) all_22_1_28 = 0
% 52.64/17.97 | (463) ~ (all_22_2_29 = 0) | all_22_0_27 = all_0_2_2
% 52.64/17.97 |
% 52.64/17.97 +-Applying beta-rule and splitting (184), into two cases.
% 52.64/17.97 |-Branch one:
% 52.64/17.97 | (464) ~ (all_42_1_61 = 0)
% 52.64/17.97 |
% 52.64/17.97 | Equations (328) can reduce 464 to:
% 52.64/17.97 | (325) $false
% 52.64/17.97 |
% 52.64/17.97 |-The branch is then unsatisfiable
% 52.64/17.97 |-Branch two:
% 52.64/17.97 | (328) all_42_1_61 = 0
% 52.64/17.97 | (467) ~ (all_42_2_62 = 0) | all_42_0_60 = all_0_0_0
% 52.64/17.97 |
% 52.64/17.97 +-Applying beta-rule and splitting (467), into two cases.
% 52.64/17.97 |-Branch one:
% 52.64/17.97 | (468) ~ (all_42_2_62 = 0)
% 52.64/17.97 |
% 52.64/17.97 | Equations (432) can reduce 468 to:
% 52.64/17.97 | (325) $false
% 52.64/17.97 |
% 52.64/17.97 |-The branch is then unsatisfiable
% 52.64/17.97 |-Branch two:
% 52.64/17.97 | (432) all_42_2_62 = 0
% 52.64/17.97 | (471) all_42_0_60 = all_0_0_0
% 52.64/17.97 |
% 52.64/17.97 | From (471) and (181) follows:
% 52.64/17.97 | (472) sdtpldt0(all_0_1_1, xw) = all_0_0_0
% 52.64/17.97 |
% 52.64/17.97 +-Applying beta-rule and splitting (463), into two cases.
% 52.64/17.97 |-Branch one:
% 52.64/17.97 | (473) ~ (all_22_2_29 = 0)
% 52.64/17.97 |
% 52.64/17.97 | Equations (431) can reduce 473 to:
% 52.64/17.97 | (325) $false
% 52.64/17.97 |
% 52.64/17.97 |-The branch is then unsatisfiable
% 52.64/17.97 |-Branch two:
% 52.64/17.97 | (431) all_22_2_29 = 0
% 52.64/17.97 | (476) all_22_0_27 = all_0_2_2
% 52.64/17.97 |
% 52.64/17.97 | From (476) and (128) follows:
% 52.64/17.97 | (477) sdtpldt0(all_0_3_3, xw) = all_0_2_2
% 52.64/17.97 |
% 52.64/17.97 +-Applying beta-rule and splitting (337), into two cases.
% 52.64/17.97 |-Branch one:
% 52.64/17.97 | (478) ~ (sdtpldt0(all_0_1_1, xw) = all_0_0_0)
% 52.64/17.97 |
% 52.64/17.97 | Using (472) and (478) yields:
% 52.64/17.97 | (479) $false
% 52.64/17.97 |
% 52.64/17.97 |-The branch is then unsatisfiable
% 52.64/17.97 |-Branch two:
% 52.64/17.97 | (472) sdtpldt0(all_0_1_1, xw) = all_0_0_0
% 52.64/17.97 | (481) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(all_0_1_1, v3) = v4 & sdtpldt0(xw, all_0_0_0) = v3 & aElement0(all_0_0_0) = v2 & aElement0(all_0_1_1) = v0 & aElement0(xw) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = all_58_0_76))
% 52.64/17.97 |
% 52.64/17.97 | Instantiating (481) with all_520_0_315, all_520_1_316, all_520_2_317, all_520_3_318, all_520_4_319 yields:
% 52.64/17.97 | (482) sdtpldt0(all_0_1_1, all_520_1_316) = all_520_0_315 & sdtpldt0(xw, all_0_0_0) = all_520_1_316 & aElement0(all_0_0_0) = all_520_2_317 & aElement0(all_0_1_1) = all_520_4_319 & aElement0(xw) = all_520_3_318 & ( ~ (all_520_2_317 = 0) | ~ (all_520_3_318 = 0) | ~ (all_520_4_319 = 0) | all_520_0_315 = all_58_0_76)
% 52.64/17.97 |
% 52.64/17.97 | Applying alpha-rule on (482) yields:
% 52.64/17.97 | (483) aElement0(all_0_1_1) = all_520_4_319
% 52.64/17.97 | (484) sdtpldt0(all_0_1_1, all_520_1_316) = all_520_0_315
% 52.64/17.97 | (485) aElement0(xw) = all_520_3_318
% 52.64/17.97 | (486) ~ (all_520_2_317 = 0) | ~ (all_520_3_318 = 0) | ~ (all_520_4_319 = 0) | all_520_0_315 = all_58_0_76
% 52.64/17.97 | (487) sdtpldt0(xw, all_0_0_0) = all_520_1_316
% 52.64/17.97 | (488) aElement0(all_0_0_0) = all_520_2_317
% 52.64/17.97 |
% 52.64/17.97 +-Applying beta-rule and splitting (338), into two cases.
% 52.64/17.97 |-Branch one:
% 52.64/17.97 | (478) ~ (sdtpldt0(all_0_1_1, xw) = all_0_0_0)
% 52.64/17.97 |
% 52.64/17.97 | Using (472) and (478) yields:
% 52.64/17.97 | (479) $false
% 52.64/17.97 |
% 52.64/17.97 |-The branch is then unsatisfiable
% 52.64/17.97 |-Branch two:
% 52.64/17.97 | (472) sdtpldt0(all_0_1_1, xw) = all_0_0_0
% 52.64/17.97 | (492) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(all_0_1_1, v3) = v4 & sdtpldt0(xw, xb) = v3 & aElement0(all_0_1_1) = v0 & aElement0(xw) = v1 & aElement0(xb) = v2 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = all_52_0_72))
% 52.64/17.97 |
% 52.64/17.97 | Instantiating (492) with all_525_0_320, all_525_1_321, all_525_2_322, all_525_3_323, all_525_4_324 yields:
% 52.64/17.97 | (493) sdtpldt0(all_0_1_1, all_525_1_321) = all_525_0_320 & sdtpldt0(xw, xb) = all_525_1_321 & aElement0(all_0_1_1) = all_525_4_324 & aElement0(xw) = all_525_3_323 & aElement0(xb) = all_525_2_322 & ( ~ (all_525_2_322 = 0) | ~ (all_525_3_323 = 0) | ~ (all_525_4_324 = 0) | all_525_0_320 = all_52_0_72)
% 52.64/17.97 |
% 52.64/17.97 | Applying alpha-rule on (493) yields:
% 52.64/17.97 | (494) ~ (all_525_2_322 = 0) | ~ (all_525_3_323 = 0) | ~ (all_525_4_324 = 0) | all_525_0_320 = all_52_0_72
% 52.64/17.97 | (495) sdtpldt0(xw, xb) = all_525_1_321
% 52.64/17.97 | (496) aElement0(xb) = all_525_2_322
% 52.64/17.97 | (497) sdtpldt0(all_0_1_1, all_525_1_321) = all_525_0_320
% 52.64/17.97 | (498) aElement0(xw) = all_525_3_323
% 52.64/17.97 | (499) aElement0(all_0_1_1) = all_525_4_324
% 52.64/17.97 |
% 52.64/17.97 +-Applying beta-rule and splitting (343), into two cases.
% 52.64/17.97 |-Branch one:
% 52.64/17.97 | (500) ~ (sdtpldt0(all_0_3_3, xw) = all_0_2_2)
% 52.64/17.97 |
% 52.64/17.97 | Using (477) and (500) yields:
% 52.64/17.97 | (479) $false
% 52.64/17.97 |
% 52.64/17.97 |-The branch is then unsatisfiable
% 52.64/17.97 |-Branch two:
% 52.64/17.97 | (477) sdtpldt0(all_0_3_3, xw) = all_0_2_2
% 52.64/17.98 | (503) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(all_0_3_3, v3) = v4 & sdtpldt0(xw, all_0_2_2) = v3 & aElement0(all_0_2_2) = v2 & aElement0(all_0_3_3) = v0 & aElement0(xw) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = all_56_0_75))
% 52.64/17.98 |
% 52.64/17.98 | Instantiating (503) with all_530_0_325, all_530_1_326, all_530_2_327, all_530_3_328, all_530_4_329 yields:
% 52.64/17.98 | (504) sdtpldt0(all_0_3_3, all_530_1_326) = all_530_0_325 & sdtpldt0(xw, all_0_2_2) = all_530_1_326 & aElement0(all_0_2_2) = all_530_2_327 & aElement0(all_0_3_3) = all_530_4_329 & aElement0(xw) = all_530_3_328 & ( ~ (all_530_2_327 = 0) | ~ (all_530_3_328 = 0) | ~ (all_530_4_329 = 0) | all_530_0_325 = all_56_0_75)
% 52.64/17.98 |
% 52.64/17.98 | Applying alpha-rule on (504) yields:
% 52.64/17.98 | (505) aElement0(all_0_3_3) = all_530_4_329
% 52.64/17.98 | (506) aElement0(xw) = all_530_3_328
% 52.64/17.98 | (507) ~ (all_530_2_327 = 0) | ~ (all_530_3_328 = 0) | ~ (all_530_4_329 = 0) | all_530_0_325 = all_56_0_75
% 52.64/17.98 | (508) sdtpldt0(all_0_3_3, all_530_1_326) = all_530_0_325
% 52.64/17.98 | (509) sdtpldt0(xw, all_0_2_2) = all_530_1_326
% 52.64/17.98 | (510) aElement0(all_0_2_2) = all_530_2_327
% 52.64/17.98 |
% 52.64/17.98 +-Applying beta-rule and splitting (344), into two cases.
% 52.64/17.98 |-Branch one:
% 52.64/17.98 | (500) ~ (sdtpldt0(all_0_3_3, xw) = all_0_2_2)
% 52.64/17.98 |
% 52.64/17.98 | Using (477) and (500) yields:
% 52.64/17.98 | (479) $false
% 52.64/17.98 |
% 52.64/17.98 |-The branch is then unsatisfiable
% 52.64/17.98 |-Branch two:
% 52.64/17.98 | (477) sdtpldt0(all_0_3_3, xw) = all_0_2_2
% 52.64/17.98 | (514) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtpldt0(all_0_3_3, v3) = v4 & sdtpldt0(xw, xa) = v3 & aElement0(all_0_3_3) = v0 & aElement0(xw) = v1 & aElement0(xa) = v2 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = all_64_0_79))
% 52.64/17.98 |
% 52.64/17.98 | Instantiating (514) with all_535_0_330, all_535_1_331, all_535_2_332, all_535_3_333, all_535_4_334 yields:
% 52.64/17.98 | (515) sdtpldt0(all_0_3_3, all_535_1_331) = all_535_0_330 & sdtpldt0(xw, xa) = all_535_1_331 & aElement0(all_0_3_3) = all_535_4_334 & aElement0(xw) = all_535_3_333 & aElement0(xa) = all_535_2_332 & ( ~ (all_535_2_332 = 0) | ~ (all_535_3_333 = 0) | ~ (all_535_4_334 = 0) | all_535_0_330 = all_64_0_79)
% 52.64/17.98 |
% 52.64/17.98 | Applying alpha-rule on (515) yields:
% 52.64/17.98 | (516) sdtpldt0(all_0_3_3, all_535_1_331) = all_535_0_330
% 52.64/17.98 | (517) ~ (all_535_2_332 = 0) | ~ (all_535_3_333 = 0) | ~ (all_535_4_334 = 0) | all_535_0_330 = all_64_0_79
% 52.64/17.98 | (518) sdtpldt0(xw, xa) = all_535_1_331
% 52.64/17.98 | (519) aElement0(xw) = all_535_3_333
% 52.64/17.98 | (520) aElement0(xa) = all_535_2_332
% 52.64/17.98 | (521) aElement0(all_0_3_3) = all_535_4_334
% 52.64/17.98 |
% 52.64/17.98 | Instantiating formula (44) with xw, xx, xI, 0, all_180_2_152 and discharging atoms sdteqdtlpzmzozddtrp0(xw, xx, xI) = all_180_2_152, sdteqdtlpzmzozddtrp0(xw, xx, xI) = 0, yields:
% 52.64/17.98 | (522) all_180_2_152 = 0
% 52.64/17.98 |
% 52.64/17.98 | Instantiating formula (31) with xw, all_530_3_328, all_535_3_333 and discharging atoms aElement0(xw) = all_535_3_333, aElement0(xw) = all_530_3_328, yields:
% 52.64/17.98 | (523) all_535_3_333 = all_530_3_328
% 52.64/17.98 |
% 52.64/17.98 | Instantiating formula (31) with xw, all_525_3_323, all_535_3_333 and discharging atoms aElement0(xw) = all_535_3_333, aElement0(xw) = all_525_3_323, yields:
% 52.64/17.98 | (524) all_535_3_333 = all_525_3_323
% 52.64/17.98 |
% 52.64/17.98 | Instantiating formula (31) with xw, all_520_3_318, 0 and discharging atoms aElement0(xw) = all_520_3_318, aElement0(xw) = 0, yields:
% 52.64/17.98 | (525) all_520_3_318 = 0
% 52.64/17.98 |
% 52.64/17.98 | Instantiating formula (31) with xw, all_284_4_251, all_520_3_318 and discharging atoms aElement0(xw) = all_520_3_318, aElement0(xw) = all_284_4_251, yields:
% 52.64/17.98 | (526) all_520_3_318 = all_284_4_251
% 52.64/17.98 |
% 52.64/17.98 | Instantiating formula (31) with xw, all_282_4_246, all_530_3_328 and discharging atoms aElement0(xw) = all_530_3_328, aElement0(xw) = all_282_4_246, yields:
% 52.64/17.98 | (527) all_530_3_328 = all_282_4_246
% 52.64/17.98 |
% 52.64/17.98 | Instantiating formula (31) with xw, all_272_1_236, all_282_4_246 and discharging atoms aElement0(xw) = all_282_4_246, aElement0(xw) = all_272_1_236, yields:
% 52.64/17.98 | (528) all_282_4_246 = all_272_1_236
% 52.64/17.98 |
% 52.64/17.98 | Instantiating formula (31) with xw, all_266_1_231, all_284_4_251 and discharging atoms aElement0(xw) = all_284_4_251, aElement0(xw) = all_266_1_231, yields:
% 52.64/17.98 | (529) all_284_4_251 = all_266_1_231
% 52.64/17.98 |
% 52.64/17.98 | Instantiating formula (31) with xw, all_266_1_231, all_272_1_236 and discharging atoms aElement0(xw) = all_272_1_236, aElement0(xw) = all_266_1_231, yields:
% 52.64/17.98 | (530) all_272_1_236 = all_266_1_231
% 52.64/17.98 |
% 52.64/17.98 | Instantiating formula (31) with xw, all_222_4_194, all_266_1_231 and discharging atoms aElement0(xw) = all_266_1_231, aElement0(xw) = all_222_4_194, yields:
% 52.64/17.98 | (531) all_266_1_231 = all_222_4_194
% 52.64/17.98 |
% 52.64/17.98 | Instantiating formula (31) with xw, all_198_4_174, all_266_1_231 and discharging atoms aElement0(xw) = all_266_1_231, aElement0(xw) = all_198_4_174, yields:
% 52.64/17.98 | (532) all_266_1_231 = all_198_4_174
% 52.64/17.98 |
% 52.64/17.98 | Instantiating formula (31) with xw, all_196_1_168, all_530_3_328 and discharging atoms aElement0(xw) = all_530_3_328, aElement0(xw) = all_196_1_168, yields:
% 52.64/17.98 | (533) all_530_3_328 = all_196_1_168
% 52.64/17.98 |
% 52.64/17.98 | Instantiating formula (31) with xw, all_194_1_165, all_198_4_174 and discharging atoms aElement0(xw) = all_198_4_174, aElement0(xw) = all_194_1_165, yields:
% 52.64/17.98 | (534) all_198_4_174 = all_194_1_165
% 52.64/17.98 |
% 52.64/17.98 | Instantiating formula (31) with xw, all_180_5_155, all_198_4_174 and discharging atoms aElement0(xw) = all_198_4_174, aElement0(xw) = all_180_5_155, yields:
% 52.64/17.98 | (535) all_198_4_174 = all_180_5_155
% 52.64/17.98 |
% 52.64/17.98 | Combining equations (523,524) yields a new equation:
% 52.64/17.98 | (536) all_530_3_328 = all_525_3_323
% 52.64/17.98 |
% 52.64/17.98 | Simplifying 536 yields:
% 52.64/17.98 | (537) all_530_3_328 = all_525_3_323
% 52.64/17.98 |
% 52.64/17.98 | Combining equations (533,537) yields a new equation:
% 52.64/17.98 | (538) all_525_3_323 = all_196_1_168
% 52.64/17.98 |
% 52.64/17.98 | Combining equations (527,537) yields a new equation:
% 52.64/17.98 | (539) all_525_3_323 = all_282_4_246
% 52.64/17.98 |
% 52.64/17.98 | Combining equations (539,538) yields a new equation:
% 52.64/17.98 | (540) all_282_4_246 = all_196_1_168
% 52.64/17.98 |
% 52.64/17.98 | Simplifying 540 yields:
% 52.64/17.98 | (541) all_282_4_246 = all_196_1_168
% 52.64/17.98 |
% 52.64/17.98 | Combining equations (526,525) yields a new equation:
% 52.64/17.98 | (542) all_284_4_251 = 0
% 52.64/17.98 |
% 52.64/17.98 | Simplifying 542 yields:
% 52.64/17.98 | (543) all_284_4_251 = 0
% 52.64/17.98 |
% 52.64/17.98 | Combining equations (529,543) yields a new equation:
% 52.64/17.98 | (544) all_266_1_231 = 0
% 52.64/17.98 |
% 52.64/17.98 | Simplifying 544 yields:
% 52.64/17.98 | (545) all_266_1_231 = 0
% 52.64/17.98 |
% 52.64/17.98 | Combining equations (528,541) yields a new equation:
% 52.64/17.98 | (546) all_272_1_236 = all_196_1_168
% 52.64/17.98 |
% 52.64/17.98 | Simplifying 546 yields:
% 52.64/17.98 | (547) all_272_1_236 = all_196_1_168
% 52.64/17.98 |
% 52.64/17.98 | Combining equations (530,547) yields a new equation:
% 52.64/17.98 | (548) all_266_1_231 = all_196_1_168
% 52.64/17.98 |
% 52.64/17.98 | Simplifying 548 yields:
% 52.64/17.98 | (549) all_266_1_231 = all_196_1_168
% 52.64/17.98 |
% 52.64/17.98 | Combining equations (545,531) yields a new equation:
% 52.64/17.98 | (550) all_222_4_194 = 0
% 52.64/17.98 |
% 52.64/17.98 | Combining equations (532,531) yields a new equation:
% 52.64/17.98 | (551) all_222_4_194 = all_198_4_174
% 52.64/17.98 |
% 52.64/17.98 | Combining equations (549,531) yields a new equation:
% 52.64/17.98 | (552) all_222_4_194 = all_196_1_168
% 52.64/17.98 |
% 52.64/17.98 | Combining equations (550,552) yields a new equation:
% 52.64/17.98 | (553) all_196_1_168 = 0
% 52.64/17.98 |
% 52.64/17.98 | Combining equations (551,552) yields a new equation:
% 52.64/17.98 | (554) all_198_4_174 = all_196_1_168
% 52.64/17.98 |
% 52.64/17.98 | Simplifying 554 yields:
% 52.64/17.98 | (555) all_198_4_174 = all_196_1_168
% 52.64/17.98 |
% 52.64/17.98 | Combining equations (535,534) yields a new equation:
% 52.64/17.98 | (556) all_194_1_165 = all_180_5_155
% 52.64/17.98 |
% 52.64/17.98 | Combining equations (555,534) yields a new equation:
% 52.64/17.98 | (557) all_196_1_168 = all_194_1_165
% 52.64/17.98 |
% 52.64/17.98 | Simplifying 557 yields:
% 52.64/17.98 | (558) all_196_1_168 = all_194_1_165
% 52.64/17.98 |
% 52.64/17.98 | Combining equations (558,553) yields a new equation:
% 52.64/17.98 | (559) all_194_1_165 = 0
% 52.64/17.98 |
% 52.64/17.98 | Simplifying 559 yields:
% 52.64/17.98 | (560) all_194_1_165 = 0
% 52.64/17.98 |
% 52.64/17.98 | Combining equations (556,560) yields a new equation:
% 52.64/17.98 | (561) all_180_5_155 = 0
% 52.64/17.98 |
% 52.64/17.98 | Simplifying 561 yields:
% 52.64/17.98 | (562) all_180_5_155 = 0
% 52.64/17.98 |
% 52.64/17.98 +-Applying beta-rule and splitting (355), into two cases.
% 52.64/17.98 |-Branch one:
% 52.64/17.98 | (563) ~ (all_180_5_155 = 0)
% 52.64/17.98 |
% 52.64/17.98 | Equations (562) can reduce 563 to:
% 52.64/17.98 | (325) $false
% 52.64/17.98 |
% 52.64/17.98 |-The branch is then unsatisfiable
% 52.64/17.98 |-Branch two:
% 52.64/17.98 | (562) all_180_5_155 = 0
% 52.64/17.98 | (566) ( ~ (all_180_0_150 = 0) & ~ (all_12_0_12 = 0)) | ( ~ (all_180_2_152 = 0) & ~ (all_180_3_153 = 0))
% 52.64/17.98 |
% 52.64/17.98 +-Applying beta-rule and splitting (566), into two cases.
% 52.64/17.98 |-Branch one:
% 52.64/17.98 | (567) ~ (all_180_0_150 = 0) & ~ (all_12_0_12 = 0)
% 52.64/17.98 |
% 52.64/17.98 | Applying alpha-rule on (567) yields:
% 52.64/17.98 | (568) ~ (all_180_0_150 = 0)
% 52.64/17.98 | (569) ~ (all_12_0_12 = 0)
% 52.64/17.98 |
% 52.64/17.98 | Equations (454) can reduce 569 to:
% 52.64/17.98 | (325) $false
% 52.64/17.98 |
% 52.64/17.98 |-The branch is then unsatisfiable
% 52.64/17.98 |-Branch two:
% 52.64/17.98 | (571) ~ (all_180_2_152 = 0) & ~ (all_180_3_153 = 0)
% 52.64/17.98 |
% 52.64/17.98 | Applying alpha-rule on (571) yields:
% 52.64/17.98 | (572) ~ (all_180_2_152 = 0)
% 52.64/17.98 | (573) ~ (all_180_3_153 = 0)
% 52.64/17.98 |
% 52.64/17.98 | Equations (522) can reduce 572 to:
% 52.64/17.98 | (325) $false
% 52.64/17.98 |
% 52.64/17.98 |-The branch is then unsatisfiable
% 52.64/17.98 |-Branch two:
% 52.64/17.98 | (421) ~ (all_24_1_31 = 0)
% 52.64/17.98 | (576) ? [v0] : ( ~ (v0 = 0) & aElementOf0(all_0_4_4, xJ) = v0)
% 52.64/17.98 |
% 52.64/17.98 +-Applying beta-rule and splitting (348), into two cases.
% 52.64/17.98 |-Branch one:
% 52.64/17.98 | (420) all_24_1_31 = 0
% 52.64/17.98 |
% 52.64/17.98 | Equations (420) can reduce 421 to:
% 52.64/17.98 | (325) $false
% 52.64/17.98 |
% 52.64/17.98 |-The branch is then unsatisfiable
% 52.64/17.98 |-Branch two:
% 52.64/17.98 | (421) ~ (all_24_1_31 = 0)
% 52.64/17.98 | (580) ? [v0] : ( ~ (v0 = 0) & aElementOf0(all_0_4_4, xI) = v0)
% 52.64/17.98 |
% 52.64/17.98 +-Applying beta-rule and splitting (195), into two cases.
% 52.64/17.98 |-Branch one:
% 52.64/17.98 | (581) ~ (all_46_1_68 = 0)
% 52.64/17.98 |
% 52.64/17.98 | Equations (419) can reduce 581 to:
% 52.64/17.98 | (325) $false
% 52.64/17.98 |
% 52.64/17.98 |-The branch is then unsatisfiable
% 52.64/17.98 |-Branch two:
% 52.64/17.98 | (419) all_46_1_68 = 0
% 52.64/17.98 | (584) ~ (all_46_2_69 = 0) | all_46_0_67 = 0
% 52.64/17.98 |
% 52.64/17.98 +-Applying beta-rule and splitting (584), into two cases.
% 52.64/17.98 |-Branch one:
% 52.64/17.98 | (585) ~ (all_46_2_69 = 0)
% 52.64/17.98 |
% 52.64/17.98 | Equations (317) can reduce 585 to:
% 52.64/17.98 | (325) $false
% 52.64/17.98 |
% 52.64/17.98 |-The branch is then unsatisfiable
% 52.64/17.98 |-Branch two:
% 52.64/17.98 | (317) all_46_2_69 = 0
% 52.64/17.98 | (588) all_46_0_67 = 0
% 52.64/17.98 |
% 52.64/17.98 | Combining equations (588,319) yields a new equation:
% 52.64/17.98 | (420) all_24_1_31 = 0
% 52.64/17.98 |
% 52.64/17.98 | Equations (420) can reduce 421 to:
% 52.64/17.98 | (325) $false
% 52.64/17.98 |
% 52.64/17.98 |-The branch is then unsatisfiable
% 52.64/17.98 |-Branch two:
% 52.64/17.98 | (591) ~ (all_14_1_17 = 0)
% 52.64/17.98 | (592) ? [v0] : ( ~ (v0 = 0) & aElementOf0(xb, xJ) = v0)
% 52.64/17.98 |
% 52.64/17.98 | Instantiating (592) with all_384_0_347 yields:
% 52.64/17.98 | (593) ~ (all_384_0_347 = 0) & aElementOf0(xb, xJ) = all_384_0_347
% 52.64/17.98 |
% 52.64/17.98 | Applying alpha-rule on (593) yields:
% 52.64/17.98 | (594) ~ (all_384_0_347 = 0)
% 52.64/17.98 | (595) aElementOf0(xb, xJ) = all_384_0_347
% 52.64/17.98 |
% 52.64/17.98 | Instantiating formula (48) with xb, xJ, all_384_0_347, 0 and discharging atoms aElementOf0(xb, xJ) = all_384_0_347, aElementOf0(xb, xJ) = 0, yields:
% 52.64/17.98 | (596) all_384_0_347 = 0
% 52.64/17.98 |
% 52.64/17.98 | Equations (596) can reduce 594 to:
% 52.64/17.98 | (325) $false
% 52.64/17.98 |
% 52.64/17.98 |-The branch is then unsatisfiable
% 52.64/17.98 |-Branch two:
% 52.64/17.98 | (598) ~ (all_14_2_18 = 0)
% 52.64/17.98 | (599) ? [v0] : ( ~ (v0 = 0) & aElementOf0(xa, xI) = v0)
% 52.64/17.99 |
% 52.64/17.99 | Instantiating (599) with all_364_0_399 yields:
% 52.64/17.99 | (600) ~ (all_364_0_399 = 0) & aElementOf0(xa, xI) = all_364_0_399
% 52.64/17.99 |
% 52.64/17.99 | Applying alpha-rule on (600) yields:
% 52.64/17.99 | (601) ~ (all_364_0_399 = 0)
% 52.64/17.99 | (602) aElementOf0(xa, xI) = all_364_0_399
% 52.64/17.99 |
% 52.64/17.99 | Instantiating formula (48) with xa, xI, all_364_0_399, 0 and discharging atoms aElementOf0(xa, xI) = all_364_0_399, aElementOf0(xa, xI) = 0, yields:
% 52.64/17.99 | (603) all_364_0_399 = 0
% 52.64/17.99 |
% 52.64/17.99 | Equations (603) can reduce 601 to:
% 52.64/17.99 | (325) $false
% 52.64/17.99 |
% 52.64/17.99 |-The branch is then unsatisfiable
% 52.64/17.99 % SZS output end Proof for theBenchmark
% 52.64/17.99
% 52.64/17.99 17369ms
%------------------------------------------------------------------------------