TSTP Solution File: NUM621+1 by ePrincess---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : NUM621+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n015.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 08:46:32 EDT 2022
% Result : Theorem 43.71s 13.87s
% Output : Proof 133.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM621+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jul 7 00:17:34 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.55/0.60 ____ _
% 0.55/0.60 ___ / __ \_____(_)___ ________ __________
% 0.55/0.60 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.55/0.60 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.55/0.60 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.62/0.60
% 0.62/0.60 A Theorem Prover for First-Order Logic
% 0.62/0.60 (ePrincess v.1.0)
% 0.62/0.60
% 0.62/0.60 (c) Philipp Rümmer, 2009-2015
% 0.62/0.60 (c) Peter Backeman, 2014-2015
% 0.62/0.60 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.62/0.60 Free software under GNU Lesser General Public License (LGPL).
% 0.62/0.60 Bug reports to peter@backeman.se
% 0.62/0.60
% 0.62/0.60 For more information, visit http://user.uu.se/~petba168/breu/
% 0.62/0.60
% 0.62/0.60 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.71/0.65 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.21/1.09 Prover 0: Preprocessing ...
% 4.82/1.74 Prover 0: Constructing countermodel ...
% 20.90/5.94 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 21.26/6.04 Prover 1: Preprocessing ...
% 22.28/6.28 Prover 1: Constructing countermodel ...
% 31.74/8.56 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 32.08/8.69 Prover 2: Preprocessing ...
% 34.20/9.17 Prover 2: Warning: ignoring some quantifiers
% 34.20/9.19 Prover 2: Constructing countermodel ...
% 39.63/11.47 Prover 0: stopped
% 40.25/11.67 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 40.47/11.73 Prover 3: Preprocessing ...
% 40.78/11.80 Prover 3: Constructing countermodel ...
% 43.71/13.86 Prover 3: proved (2189ms)
% 43.71/13.87 Prover 2: stopped
% 43.71/13.87 Prover 1: stopped
% 43.71/13.87
% 43.71/13.87 No countermodel exists, formula is valid
% 43.71/13.87 % SZS status Theorem for theBenchmark
% 43.71/13.87
% 43.71/13.87 Generating proof ... found it (size 224)
% 132.53/82.39
% 132.53/82.39 % SZS output start Proof for theBenchmark
% 132.53/82.39 Assumed formulas after preprocessing and simplification:
% 132.53/82.39 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ( ~ (xQ = slcrc0) & ~ (xK = sz00) & szDzizrdt0(xd) = v3 & sdtlcdtrc0(xd, szNzAzT0) = v2 & sdtlcdtrc0(xe, v4) = xO & sdtlcdtrc0(xc, v0) = v1 & sdtlbdtrb0(xd, v3) = v4 & sdtlpdtrp0(xd, xn) = v3 & sdtlpdtrp0(xe, xm) = xx & sdtlpdtrp0(xe, xn) = xp & sdtlpdtrp0(xN, v8) = v9 & sdtlpdtrp0(xN, xm) = v7 & sdtlpdtrp0(xN, xn) = v10 & sdtlpdtrp0(xN, sz00) = xS & szDzozmdt0(xd) = szNzAzT0 & szDzozmdt0(xe) = szNzAzT0 & szDzozmdt0(xC) = szNzAzT0 & szDzozmdt0(xN) = szNzAzT0 & szDzozmdt0(xc) = v0 & slbdtsldtrb0(xO, xk) = v6 & slbdtsldtrb0(xO, xK) = v5 & slbdtsldtrb0(xS, xK) = v0 & slbdtrb0(sz00) = slcrc0 & szmzizndt0(v7) = xx & szmzizndt0(xQ) = xp & sbrdtbr0(xP) = xk & szszuzczcdt0(xn) = v8 & szszuzczcdt0(xk) = xK & sdtmndt0(xQ, xp) = xP & aFunction0(xd) & aFunction0(xe) & aFunction0(xC) & aFunction0(xN) & aFunction0(xc) & aSubsetOf0(v10, v7) & aSubsetOf0(v2, xT) & aSubsetOf0(v1, xT) & aSubsetOf0(xP, xQ) & aSubsetOf0(xP, xO) & aSubsetOf0(xQ, xO) & aSubsetOf0(xQ, szNzAzT0) & aSubsetOf0(xO, xS) & aSubsetOf0(xS, szNzAzT0) & isCountable0(v4) & isCountable0(xO) & isCountable0(xS) & isCountable0(szNzAzT0) & isFinite0(xT) & isFinite0(slcrc0) & aElementOf0(v3, xT) & aElementOf0(xm, szNzAzT0) & aElementOf0(xx, xP) & aElementOf0(xx, xO) & aElementOf0(xx, szNzAzT0) & aElementOf0(xn, v4) & aElementOf0(xn, szNzAzT0) & aElementOf0(xP, v6) & aElementOf0(xp, xQ) & aElementOf0(xp, xO) & aElementOf0(xQ, v5) & aElementOf0(xQ, v0) & aElementOf0(xk, szNzAzT0) & aElementOf0(xK, szNzAzT0) & aElementOf0(sz00, szNzAzT0) & aSet0(xP) & aSet0(xO) & aSet0(xT) & aSet0(szNzAzT0) & aSet0(slcrc0) & ~ aSubsetOf0(v7, v9) & ~ isCountable0(slcrc0) & ~ aElementOf0(xx, v9) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (sdtexdt0(v11, v13) = v14) | ~ (sdtlpdtrp0(v11, v16) = v17) | ~ (szDzozmdt0(v14) = v15) | ~ (szDzozmdt0(v11) = v12) | ~ aFunction0(v11) | ~ aSubsetOf0(v13, v12) | ~ aElementOf0(v16, v13) | sdtlpdtrp0(v14, v16) = v17) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (sdtlcdtrc0(v11, v13) = v14) | ~ (sdtlpdtrp0(v11, v16) = v15) | ~ (szDzozmdt0(v11) = v12) | ~ aFunction0(v11) | ~ aSubsetOf0(v13, v12) | ~ aElementOf0(v16, v13) | aElementOf0(v15, v14)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v14 | ~ (sdtexdt0(v11, v13) = v14) | ~ (szDzozmdt0(v15) = v13) | ~ (szDzozmdt0(v11) = v12) | ~ aFunction0(v15) | ~ aFunction0(v11) | ~ aSubsetOf0(v13, v12) | ? [v16] : ? [v17] : ? [v18] : ( ~ (v18 = v17) & sdtlpdtrp0(v15, v16) = v17 & sdtlpdtrp0(v11, v16) = v18 & aElementOf0(v16, v13))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v14 | ~ (sdtlcdtrc0(v11, v13) = v14) | ~ (szDzozmdt0(v11) = v12) | ~ aFunction0(v11) | ~ aSubsetOf0(v13, v12) | ~ aSet0(v15) | ? [v16] : ? [v17] : ? [v18] : (( ~ aElementOf0(v16, v15) | ! [v19] : ( ~ (sdtlpdtrp0(v11, v19) = v16) | ~ aElementOf0(v19, v13))) & (aElementOf0(v16, v15) | (v18 = v16 & sdtlpdtrp0(v11, v17) = v16 & aElementOf0(v17, v13))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v13 | ~ (sdtexdt0(v11, v13) = v14) | ~ (szDzozmdt0(v14) = v15) | ~ (szDzozmdt0(v11) = v12) | ~ aFunction0(v11) | ~ aSubsetOf0(v13, v12)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v12 | ~ (slbdtsldtrb0(v11, v12) = v13) | ~ (sbrdtbr0(v14) = v15) | ~ aElementOf0(v14, v13) | ~ aElementOf0(v12, szNzAzT0) | ~ aSet0(v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v14 = slcrc0 | v11 = sz00 | ~ (slbdtsldtrb0(v13, v11) = v15) | ~ (slbdtsldtrb0(v12, v11) = v14) | ~ aSubsetOf0(v14, v15) | ~ aElementOf0(v11, szNzAzT0) | ~ aSet0(v13) | ~ aSet0(v12) | aSubsetOf0(v12, v13)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (sdtexdt0(v11, v13) = v14) | ~ (szDzozmdt0(v14) = v15) | ~ (szDzozmdt0(v11) = v12) | ~ aFunction0(v11) | ~ aSubsetOf0(v13, v12) | aFunction0(v14)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (sdtlcdtrc0(v14, v13) = v15) | ~ (szDzozmdt0(v14) = v13) | ~ (slbdtsldtrb0(v12, v11) = v13) | ~ aFunction0(v14) | ~ iLess0(v11, xK) | ~ aSubsetOf0(v15, xT) | ~ aSubsetOf0(v12, szNzAzT0) | ~ isCountable0(v12) | ~ aElementOf0(v11, szNzAzT0) | ? [v16] : ? [v17] : ? [v18] : (slbdtsldtrb0(v17, v11) = v18 & aSubsetOf0(v17, v12) & isCountable0(v17) & aElementOf0(v16, xT) & ! [v19] : ! [v20] : (v20 = v16 | ~ (sdtlpdtrp0(v14, v19) = v20) | ~ aElementOf0(v19, v18)))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (sdtlcdtrc0(v11, v13) = v14) | ~ (szDzozmdt0(v11) = v12) | ~ aFunction0(v11) | ~ aSubsetOf0(v13, v12) | ~ aElementOf0(v15, v14) | ? [v16] : (sdtlpdtrp0(v11, v16) = v15 & aElementOf0(v16, v13))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (sdtlcdtrc0(v11, v12) = v13) | ~ (sdtlpdtrp0(v11, v14) = v15) | ~ (szDzozmdt0(v11) = v12) | ~ aFunction0(v11) | ~ aElementOf0(v14, v12) | aElementOf0(v15, v13)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (slbdtsldtrb0(v11, v12) = v13) | ~ (sbrdtbr0(v14) = v15) | ~ aElementOf0(v14, v13) | ~ aElementOf0(v12, szNzAzT0) | ~ aSet0(v11) | aSubsetOf0(v14, v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = v13 | v12 = slcrc0 | v11 = slcrc0 | ~ (szmzizndt0(v12) = v14) | ~ (szmzizndt0(v11) = v13) | ~ aSubsetOf0(v12, szNzAzT0) | ~ aSubsetOf0(v11, szNzAzT0) | ~ aElementOf0(v14, v11) | ~ aElementOf0(v13, v12)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = v13 | ~ (slbdtsldtrb0(v11, v12) = v13) | ~ aElementOf0(v12, szNzAzT0) | ~ aSet0(v14) | ~ aSet0(v11) | ? [v15] : ? [v16] : (( ~ aSubsetOf0(v15, v11) | ~ aElementOf0(v15, v14) | ( ~ (v16 = v12) & sbrdtbr0(v15) = v16)) & (aElementOf0(v15, v14) | (v16 = v12 & sbrdtbr0(v15) = v12 & aSubsetOf0(v15, v11))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = v13 | ~ (sdtmndt0(v11, v12) = v13) | ~ aElement0(v12) | ~ aSet0(v14) | ~ aSet0(v11) | ? [v15] : ((v15 = v12 | ~ aElementOf0(v15, v14) | ~ aElementOf0(v15, v11) | ~ aElement0(v15)) & (aElementOf0(v15, v14) | ( ~ (v15 = v12) & aElementOf0(v15, v11) & aElement0(v15))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = v13 | ~ (sdtpldt0(v11, v12) = v13) | ~ aElement0(v12) | ~ aSet0(v14) | ~ aSet0(v11) | ? [v15] : (( ~ aElementOf0(v15, v14) | ~ aElement0(v15) | ( ~ (v15 = v12) & ~ aElementOf0(v15, v11))) & (aElementOf0(v15, v14) | (aElement0(v15) & (v15 = v12 | aElementOf0(v15, v11)))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = v12 | ~ (sdtmndt0(v13, v11) = v14) | ~ (sdtpldt0(v12, v11) = v13) | ~ aElement0(v11) | ~ aSet0(v12) | aElementOf0(v11, v12)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = v12 | ~ (sdtmndt0(v11, v12) = v13) | ~ aElementOf0(v14, v11) | ~ aElement0(v14) | ~ aElement0(v12) | ~ aSet0(v11) | aElementOf0(v14, v13)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = v12 | ~ (sdtpldt0(v11, v12) = v13) | ~ aElementOf0(v14, v13) | ~ aElement0(v12) | ~ aSet0(v11) | aElementOf0(v14, v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = v11 | ~ (sdtmndt0(v11, v12) = v13) | ~ (sdtpldt0(v13, v12) = v14) | ~ aElementOf0(v12, v11) | ~ aSet0(v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (sdtexdt0(v14, v13) = v12) | ~ (sdtexdt0(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (sdtlcdtrc0(v14, v13) = v12) | ~ (sdtlcdtrc0(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (sdtlbdtrb0(v14, v13) = v12) | ~ (sdtlbdtrb0(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (sdtlpdtrp0(v14, v13) = v12) | ~ (sdtlpdtrp0(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (sdtlpdtrp0(xN, v12) = v14) | ~ (sdtlpdtrp0(xN, v11) = v13) | ~ aElementOf0(v12, szNzAzT0) | ~ aElementOf0(v11, szNzAzT0) | ? [v15] : ? [v16] : ( ~ (v16 = v15) & szmzizndt0(v14) = v16 & szmzizndt0(v13) = v15)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (slbdtsldtrb0(v14, v13) = v12) | ~ (slbdtsldtrb0(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (sdtmndt0(v14, v13) = v12) | ~ (sdtmndt0(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (sdtpldt0(v14, v13) = v12) | ~ (sdtpldt0(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (sdtlcdtrc0(v12, v13) = v14) | ~ (sdtlpdtrp0(xC, v11) = v12) | ~ (szDzozmdt0(v12) = v13) | ~ aElementOf0(v11, szNzAzT0) | aSubsetOf0(v14, xT)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (sdtlcdtrc0(v11, v13) = v14) | ~ (szDzozmdt0(v11) = v12) | ~ aFunction0(v11) | ~ aSubsetOf0(v13, v12) | ~ isCountable0(v13) | isCountable0(v14) | ? [v15] : ? [v16] : ? [v17] : ( ~ (v16 = v15) & sdtlpdtrp0(v11, v16) = v17 & sdtlpdtrp0(v11, v15) = v17 & aElementOf0(v16, v12) & aElementOf0(v15, v12))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (sdtlcdtrc0(v11, v13) = v14) | ~ (szDzozmdt0(v11) = v12) | ~ aFunction0(v11) | ~ aSubsetOf0(v13, v12) | aSet0(v14)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (sdtlpdtrp0(v11, v13) = v14) | ~ (szDzozmdt0(v11) = v12) | ~ aFunction0(v11) | ~ aElementOf0(v13, v12) | aElement0(v14)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (sdtlpdtrp0(xN, v12) = v14) | ~ (sdtlpdtrp0(xN, v11) = v13) | ~ sdtlseqdt0(v12, v11) | ~ aElementOf0(v12, szNzAzT0) | ~ aElementOf0(v11, szNzAzT0) | aSubsetOf0(v13, v14)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (sdtlpdtrp0(xN, v11) = v12) | ~ (szmzizndt0(v12) = v13) | ~ (sdtmndt0(v12, v13) = v14) | ~ aSubsetOf0(v12, szNzAzT0) | ~ isCountable0(v12) | ~ aElementOf0(v11, szNzAzT0) | ? [v15] : ? [v16] : (sdtlpdtrp0(xN, v15) = v16 & szszuzczcdt0(v11) = v15 & aSubsetOf0(v16, v14) & isCountable0(v16))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (sdtlpdtrp0(xN, v11) = v12) | ~ (szmzizndt0(v12) = v13) | ~ (sdtmndt0(v12, v13) = v14) | ~ aElementOf0(v11, szNzAzT0) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : (sdtlpdtrp0(xC, v11) = v15 & slbdtsldtrb0(v17, xk) = v18 & aSubsetOf0(v17, v14) & isCountable0(v17) & aElementOf0(v16, xT) & ! [v19] : ! [v20] : (v20 = v16 | ~ (sdtlpdtrp0(v15, v19) = v20) | ~ aElementOf0(v19, v18) | ~ aSet0(v19)))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (sdtlpdtrp0(xN, v11) = v12) | ~ (szmzizndt0(v12) = v13) | ~ (sdtmndt0(v12, v13) = v14) | ~ aElementOf0(v11, szNzAzT0) | ? [v15] : ? [v16] : (sdtlpdtrp0(xC, v11) = v15 & szDzozmdt0(v15) = v16 & slbdtsldtrb0(v14, xk) = v16 & aFunction0(v15) & ! [v17] : ! [v18] : ( ~ (sdtpldt0(v17, v13) = v18) | ~ aElementOf0(v17, v16) | ~ aSet0(v17) | ? [v19] : (sdtlpdtrp0(v15, v17) = v19 & sdtlpdtrp0(xc, v18) = v19)))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (sdtlpdtrp0(xN, v11) = v12) | ~ (szmzizndt0(v12) = v13) | ~ (sdtmndt0(v12, v13) = v14) | ~ aElementOf0(v11, szNzAzT0) | ? [v15] : (slbdtsldtrb0(v14, xk) = v15 & ! [v16] : ! [v17] : ! [v18] : ( ~ (slbdtsldtrb0(v16, xk) = v17) | ~ aSubsetOf0(v16, v14) | ~ isCountable0(v16) | ~ aElementOf0(v18, v17) | ~ aSet0(v18) | aElementOf0(v18, v15)))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (sdtlpdtrp0(xN, v11) = v12) | ~ (szmzizndt0(v12) = v13) | ~ (sdtmndt0(v12, v13) = v14) | ~ aElementOf0(v11, szNzAzT0) | ? [v15] : (slbdtsldtrb0(v14, xk) = v15 & ! [v16] : ! [v17] : ( ~ (sdtpldt0(v16, v13) = v17) | ~ aElementOf0(v16, v15) | ~ aSet0(v16) | aElementOf0(v17, v0)))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (slbdtsldtrb0(v11, v12) = v13) | ~ (sbrdtbr0(v14) = v12) | ~ aSubsetOf0(v14, v11) | ~ aElementOf0(v12, szNzAzT0) | ~ aSet0(v11) | aElementOf0(v14, v13)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (slbdtsldtrb0(v11, v12) = v13) | ~ aSubsetOf0(v14, v13) | ~ isFinite0(v14) | ~ aElementOf0(v12, szNzAzT0) | ~ aSet0(v11) | ? [v15] : ? [v16] : (slbdtsldtrb0(v15, v12) = v16 & aSubsetOf0(v15, v11) & aSubsetOf0(v14, v16) & isFinite0(v15))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (slbdtrb0(v12) = v14) | ~ (slbdtrb0(v11) = v13) | ~ sdtlseqdt0(v11, v12) | ~ aElementOf0(v12, szNzAzT0) | ~ aElementOf0(v11, szNzAzT0) | aSubsetOf0(v13, v14)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (slbdtrb0(v12) = v14) | ~ (slbdtrb0(v11) = v13) | ~ aSubsetOf0(v13, v14) | ~ aElementOf0(v12, szNzAzT0) | ~ aElementOf0(v11, szNzAzT0) | sdtlseqdt0(v11, v12)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (slbdtrb0(v11) = v12) | ~ (szszuzczcdt0(v13) = v14) | ~ sdtlseqdt0(v14, v11) | ~ aElementOf0(v13, szNzAzT0) | ~ aElementOf0(v11, szNzAzT0) | aElementOf0(v13, v12)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (slbdtrb0(v11) = v12) | ~ (szszuzczcdt0(v13) = v14) | ~ aElementOf0(v13, v12) | ~ aElementOf0(v11, szNzAzT0) | sdtlseqdt0(v14, v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (slbdtrb0(v11) = v12) | ~ (szszuzczcdt0(v13) = v14) | ~ aElementOf0(v13, v12) | ~ aElementOf0(v11, szNzAzT0) | aElementOf0(v13, szNzAzT0)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (sbrdtbr0(v13) = v14) | ~ (sbrdtbr0(v11) = v12) | ~ aSubsetOf0(v13, v11) | ~ isFinite0(v11) | ~ aSet0(v11) | sdtlseqdt0(v14, v12)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (sbrdtbr0(v11) = v12) | ~ (sdtmndt0(v11, v13) = v14) | ~ isFinite0(v11) | ~ aElementOf0(v13, v11) | ~ aSet0(v11) | ? [v15] : (sbrdtbr0(v14) = v15 & szszuzczcdt0(v15) = v12)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (szszuzczcdt0(v12) = v14) | ~ (szszuzczcdt0(v11) = v13) | ~ sdtlseqdt0(v13, v14) | ~ aElementOf0(v12, szNzAzT0) | ~ aElementOf0(v11, szNzAzT0) | sdtlseqdt0(v11, v12)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (szszuzczcdt0(v12) = v14) | ~ (szszuzczcdt0(v11) = v13) | ~ sdtlseqdt0(v11, v12) | ~ aElementOf0(v12, szNzAzT0) | ~ aElementOf0(v11, szNzAzT0) | sdtlseqdt0(v13, v14)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (sdtmndt0(v11, v12) = v13) | ~ aElementOf0(v14, v13) | ~ aElement0(v12) | ~ aSet0(v11) | aElementOf0(v14, v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (sdtmndt0(v11, v12) = v13) | ~ aElementOf0(v14, v13) | ~ aElement0(v12) | ~ aSet0(v11) | aElement0(v14)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (sdtpldt0(v11, v12) = v13) | ~ aElementOf0(v14, v13) | ~ aElement0(v12) | ~ aSet0(v11) | aElement0(v14)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (sdtpldt0(v11, v12) = v13) | ~ aElementOf0(v14, v11) | ~ aElement0(v14) | ~ aElement0(v12) | ~ aSet0(v11) | aElementOf0(v14, v13)) & ! [v11] : ! [v12] : ! [v13] : (v13 = v12 | v11 = slcrc0 | ~ (szmzazxdt0(v11) = v12) | ~ aSubsetOf0(v11, szNzAzT0) | ~ isFinite0(v11) | ~ aElementOf0(v13, v11) | ? [v14] : (aElementOf0(v14, v11) & ~ sdtlseqdt0(v14, v13))) & ! [v11] : ! [v12] : ! [v13] : (v13 = v12 | v11 = slcrc0 | ~ (szmzizndt0(v11) = v12) | ~ aSubsetOf0(v11, szNzAzT0) | ~ aElementOf0(v13, v11) | ? [v14] : (aElementOf0(v14, v11) & ~ sdtlseqdt0(v13, v14))) & ! [v11] : ! [v12] : ! [v13] : (v13 = v12 | ~ (slbdtrb0(v11) = v12) | ~ aElementOf0(v11, szNzAzT0) | ~ aSet0(v13) | ? [v14] : ? [v15] : (( ~ aElementOf0(v14, v13) | ~ aElementOf0(v14, szNzAzT0) | (szszuzczcdt0(v14) = v15 & ~ sdtlseqdt0(v15, v11))) & (aElementOf0(v14, v13) | (szszuzczcdt0(v14) = v15 & sdtlseqdt0(v15, v11) & aElementOf0(v14, szNzAzT0))))) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (szDzizrdt0(v13) = v12) | ~ (szDzizrdt0(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (szDzozmdt0(v13) = v12) | ~ (szDzozmdt0(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (slbdtrb0(v13) = v12) | ~ (slbdtrb0(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (szmzazxdt0(v13) = v12) | ~ (szmzazxdt0(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (szmzizndt0(v13) = v12) | ~ (szmzizndt0(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (sbrdtbr0(v13) = v12) | ~ (sbrdtbr0(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (szszuzczcdt0(v13) = v12) | ~ (szszuzczcdt0(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (szszuzczcdt0(v12) = v13) | ~ (szszuzczcdt0(v11) = v13) | ~ aElementOf0(v12, szNzAzT0) | ~ aElementOf0(v11, szNzAzT0)) & ! [v11] : ! [v12] : ! [v13] : (v12 = sz00 | ~ (slbdtsldtrb0(v11, v12) = v13) | ~ isCountable0(v11) | ~ aElementOf0(v12, szNzAzT0) | ~ aSet0(v11) | isCountable0(v13)) & ! [v11] : ! [v12] : ! [v13] : (v11 = slcrc0 | ~ (szmzazxdt0(v11) = v12) | ~ aSubsetOf0(v11, szNzAzT0) | ~ isFinite0(v11) | ~ aElementOf0(v13, v11) | sdtlseqdt0(v13, v12)) & ! [v11] : ! [v12] : ! [v13] : (v11 = slcrc0 | ~ (szmzizndt0(v11) = v12) | ~ aSubsetOf0(v11, szNzAzT0) | ~ aElementOf0(v13, v11) | sdtlseqdt0(v12, v13)) & ! [v11] : ! [v12] : ! [v13] : ( ~ (szDzizrdt0(v11) = v12) | ~ (sdtlbdtrb0(v11, v12) = v13) | ~ aFunction0(v11) | isCountable0(v13) | ? [v14] : ? [v15] : (szDzozmdt0(v11) = v14 & ( ~ isCountable0(v14) | (sdtlcdtrc0(v11, v14) = v15 & ~ isFinite0(v15))))) & ! [v11] : ! [v12] : ! [v13] : ( ~ (szDzizrdt0(v11) = v12) | ~ (sdtlbdtrb0(v11, v12) = v13) | ~ aFunction0(v11) | aElement0(v12) | ? [v14] : ? [v15] : (szDzozmdt0(v11) = v14 & ( ~ isCountable0(v14) | (sdtlcdtrc0(v11, v14) = v15 & ~ isFinite0(v15))))) & ! [v11] : ! [v12] : ! [v13] : ( ~ (sdtlbdtrb0(v11, v12) = v13) | ~ aFunction0(v11) | ~ aElement0(v12) | ? [v14] : (szDzozmdt0(v11) = v14 & aSubsetOf0(v13, v14))) & ! [v11] : ! [v12] : ! [v13] : ( ~ (sdtlbdtrb0(v11, v12) = v13) | ~ aFunction0(v11) | ~ aElement0(v12) | ? [v14] : (szDzozmdt0(v11) = v14 & aSet0(v13) & ! [v15] : ! [v16] : (v16 = v12 | ~ (sdtlpdtrp0(v11, v15) = v16) | ~ aElementOf0(v15, v13)) & ! [v15] : ! [v16] : ( ~ (sdtlpdtrp0(v11, v15) = v16) | ~ aElementOf0(v15, v13) | aElementOf0(v15, v14)) & ! [v15] : (v15 = v13 | ~ aSet0(v15) | ? [v16] : ? [v17] : (( ~ aElementOf0(v16, v15) | ~ aElementOf0(v16, v14) | ( ~ (v17 = v12) & sdtlpdtrp0(v11, v16) = v17)) & (aElementOf0(v16, v15) | (v17 = v12 & sdtlpdtrp0(v11, v16) = v12 & aElementOf0(v16, v14))))) & ! [v15] : ( ~ (sdtlpdtrp0(v11, v15) = v12) | ~ aElementOf0(v15, v14) | aElementOf0(v15, v13)))) & ! [v11] : ! [v12] : ! [v13] : ( ~ (slbdtsldtrb0(v11, v12) = v13) | ~ isFinite0(v11) | ~ aElementOf0(v12, szNzAzT0) | ~ aSet0(v11) | isFinite0(v13)) & ! [v11] : ! [v12] : ! [v13] : ( ~ (slbdtsldtrb0(v11, v12) = v13) | ~ aElementOf0(v12, szNzAzT0) | ~ aSet0(v11) | aSet0(v13)) & ! [v11] : ! [v12] : ! [v13] : ( ~ (slbdtrb0(v12) = v13) | ~ aElementOf0(v12, szNzAzT0) | ~ aElementOf0(v11, szNzAzT0) | ? [v14] : ? [v15] : ((v12 = v11 | aElementOf0(v11, v13) | (slbdtrb0(v14) = v15 & szszuzczcdt0(v12) = v14 & ~ aElementOf0(v11, v15))) & (( ~ (v12 = v11) & ~ aElementOf0(v11, v13)) | (slbdtrb0(v14) = v15 & szszuzczcdt0(v12) = v14 & aElementOf0(v11, v15))))) & ! [v11] : ! [v12] : ! [v13] : ( ~ (sbrdtbr0(v11) = v13) | ~ sdtlseqdt0(v12, v13) | ~ isFinite0(v11) | ~ aElementOf0(v12, szNzAzT0) | ~ aSet0(v11) | ? [v14] : (sbrdtbr0(v14) = v12 & aSubsetOf0(v14, v11))) & ! [v11] : ! [v12] : ! [v13] : ( ~ (szszuzczcdt0(v12) = v13) | ~ aElementOf0(v12, szNzAzT0) | ~ aElementOf0(v11, szNzAzT0) | sdtlseqdt0(v13, v11) | sdtlseqdt0(v11, v12)) & ! [v11] : ! [v12] : ! [v13] : ( ~ (sdtmndt0(v12, v11) = v13) | ~ isCountable0(v12) | ~ aElement0(v11) | ~ aSet0(v12) | isCountable0(v13)) & ! [v11] : ! [v12] : ! [v13] : ( ~ (sdtmndt0(v12, v11) = v13) | ~ isFinite0(v12) | ~ aElement0(v11) | ~ aSet0(v12) | isFinite0(v13)) & ! [v11] : ! [v12] : ! [v13] : ( ~ (sdtmndt0(v11, v12) = v13) | ~ aElementOf0(v12, v13) | ~ aElement0(v12) | ~ aSet0(v11)) & ! [v11] : ! [v12] : ! [v13] : ( ~ (sdtmndt0(v11, v12) = v13) | ~ aElement0(v12) | ~ aSet0(v11) | aSet0(v13)) & ! [v11] : ! [v12] : ! [v13] : ( ~ (sdtpldt0(v12, v11) = v13) | ~ isCountable0(v12) | ~ aElement0(v11) | ~ aSet0(v12) | isCountable0(v13)) & ! [v11] : ! [v12] : ! [v13] : ( ~ (sdtpldt0(v12, v11) = v13) | ~ isFinite0(v12) | ~ aElement0(v11) | ~ aSet0(v12) | isFinite0(v13)) & ! [v11] : ! [v12] : ! [v13] : ( ~ (sdtpldt0(v11, v12) = v13) | ~ aElement0(v12) | ~ aSet0(v11) | aElementOf0(v12, v13)) & ! [v11] : ! [v12] : ! [v13] : ( ~ (sdtpldt0(v11, v12) = v13) | ~ aElement0(v12) | ~ aSet0(v11) | aSet0(v13)) & ! [v11] : ! [v12] : ! [v13] : ( ~ sdtlseqdt0(v12, v13) | ~ sdtlseqdt0(v11, v12) | ~ aElementOf0(v13, szNzAzT0) | ~ aElementOf0(v12, szNzAzT0) | ~ aElementOf0(v11, szNzAzT0) | sdtlseqdt0(v11, v13)) & ! [v11] : ! [v12] : ! [v13] : ( ~ aSubsetOf0(v12, v13) | ~ aSubsetOf0(v11, v12) | ~ aSet0(v13) | ~ aSet0(v12) | ~ aSet0(v11) | aSubsetOf0(v11, v13)) & ! [v11] : ! [v12] : ! [v13] : ( ~ aSubsetOf0(v12, v11) | ~ aElementOf0(v13, v12) | ~ aSet0(v11) | aElementOf0(v13, v11)) & ! [v11] : ! [v12] : (v12 = v11 | ~ sdtlseqdt0(v12, v11) | ~ sdtlseqdt0(v11, v12) | ~ aElementOf0(v12, szNzAzT0) | ~ aElementOf0(v11, szNzAzT0)) & ! [v11] : ! [v12] : (v12 = v11 | ~ aSubsetOf0(v12, v11) | ~ aSubsetOf0(v11, v12) | ~ aSet0(v12) | ~ aSet0(v11)) & ! [v11] : ! [v12] : (v11 = slcrc0 | ~ (szmzazxdt0(v11) = v12) | ~ aSubsetOf0(v11, szNzAzT0) | ~ isFinite0(v11) | aElementOf0(v12, v11)) & ! [v11] : ! [v12] : (v11 = slcrc0 | ~ (szmzizndt0(v11) = v12) | ~ aSubsetOf0(v11, szNzAzT0) | aElementOf0(v12, v11)) & ! [v11] : ! [v12] : ( ~ (sdtlpdtrp0(xe, v11) = v12) | ~ aElementOf0(v11, szNzAzT0) | ? [v13] : (sdtlpdtrp0(xN, v11) = v13 & szmzizndt0(v13) = v12)) & ! [v11] : ! [v12] : ( ~ (sdtlpdtrp0(xC, v11) = v12) | ~ aElementOf0(v11, szNzAzT0) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : (sdtlpdtrp0(xd, v11) = v16 & sdtlpdtrp0(xN, v13) = v14 & slbdtsldtrb0(v14, xk) = v15 & szszuzczcdt0(v11) = v13 & ! [v17] : ! [v18] : (v18 = v16 | ~ (sdtlpdtrp0(v12, v17) = v18) | ~ aElementOf0(v17, v15) | ~ aSet0(v17)))) & ! [v11] : ! [v12] : ( ~ (sdtlpdtrp0(xC, v11) = v12) | ~ aElementOf0(v11, szNzAzT0) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : (sdtlpdtrp0(xN, v13) = v14 & slbdtsldtrb0(v14, xk) = v15 & szszuzczcdt0(v11) = v13 & aElementOf0(v16, xT) & ! [v17] : ! [v18] : (v18 = v16 | ~ (sdtlpdtrp0(v12, v17) = v18) | ~ aElementOf0(v17, v15) | ~ aSet0(v17)))) & ! [v11] : ! [v12] : ( ~ (sdtlpdtrp0(xN, v11) = v12) | ~ aElementOf0(v11, szNzAzT0) | aSubsetOf0(v12, szNzAzT0)) & ! [v11] : ! [v12] : ( ~ (sdtlpdtrp0(xN, v11) = v12) | ~ aElementOf0(v11, szNzAzT0) | isCountable0(v12)) & ! [v11] : ! [v12] : ( ~ (szDzozmdt0(v11) = v12) | ~ aFunction0(v11) | aSet0(v12)) & ! [v11] : ! [v12] : ( ~ (slbdtsldtrb0(v11, v12) = slcrc0) | ~ aElementOf0(v12, szNzAzT0) | ~ aSet0(v11) | isFinite0(v11)) & ! [v11] : ! [v12] : ( ~ (slbdtrb0(v11) = v12) | ~ aElementOf0(v11, szNzAzT0) | sbrdtbr0(v12) = v11) & ! [v11] : ! [v12] : ( ~ (slbdtrb0(v11) = v12) | ~ aElementOf0(v11, szNzAzT0) | isFinite0(v12)) & ! [v11] : ! [v12] : ( ~ (slbdtrb0(v11) = v12) | ~ aElementOf0(v11, szNzAzT0) | aSet0(v12)) & ! [v11] : ! [v12] : ( ~ (sbrdtbr0(v11) = v12) | ~ isFinite0(v11) | ~ aSet0(v11) | aElementOf0(v12, szNzAzT0)) & ! [v11] : ! [v12] : ( ~ (sbrdtbr0(v11) = v12) | ~ isFinite0(v11) | ~ aSet0(v11) | ? [v13] : (szszuzczcdt0(v12) = v13 & ! [v14] : ! [v15] : ( ~ (sdtpldt0(v11, v14) = v15) | ~ aElement0(v14) | sbrdtbr0(v15) = v13 | aElementOf0(v14, v11)))) & ! [v11] : ! [v12] : ( ~ (sbrdtbr0(v11) = v12) | ~ aElementOf0(v12, szNzAzT0) | ~ aSet0(v11) | isFinite0(v11)) & ! [v11] : ! [v12] : ( ~ (sbrdtbr0(v11) = v12) | ~ aSet0(v11) | aElement0(v12)) & ! [v11] : ! [v12] : ( ~ (szszuzczcdt0(v11) = v12) | ~ sdtlseqdt0(v12, sz00) | ~ aElementOf0(v11, szNzAzT0)) & ! [v11] : ! [v12] : ( ~ (szszuzczcdt0(v11) = v12) | ~ aElementOf0(v11, szNzAzT0) | iLess0(v11, v12)) & ! [v11] : ! [v12] : ( ~ (szszuzczcdt0(v11) = v12) | ~ aElementOf0(v11, szNzAzT0) | sdtlseqdt0(v11, v12)) & ! [v11] : ! [v12] : ( ~ (szszuzczcdt0(v11) = v12) | ~ aElementOf0(v11, szNzAzT0) | aElementOf0(v12, szNzAzT0)) & ! [v11] : ! [v12] : ( ~ aSubsetOf0(v12, v11) | ~ isFinite0(v11) | ~ aSet0(v11) | isFinite0(v12)) & ! [v11] : ! [v12] : ( ~ aSubsetOf0(v12, v11) | ~ aSet0(v11) | aSet0(v12)) & ! [v11] : ! [v12] : ( ~ aElementOf0(v12, v11) | ~ aSet0(v11) | aElement0(v12)) & ! [v11] : ! [v12] : ( ~ aSet0(v12) | ~ aSet0(v11) | aSubsetOf0(v12, v11) | ? [v13] : (aElementOf0(v13, v12) & ~ aElementOf0(v13, v11))) & ! [v11] : (v11 = sz00 | ~ (sbrdtbr0(slcrc0) = v11)) & ! [v11] : (v11 = sz00 | ~ aElementOf0(v11, szNzAzT0) | ? [v12] : (szszuzczcdt0(v12) = v11 & aElementOf0(v12, szNzAzT0))) & ! [v11] : (v11 = slcrc0 | ~ (sbrdtbr0(v11) = sz00) | ~ aSet0(v11)) & ! [v11] : (v11 = slcrc0 | ~ aSet0(v11) | ? [v12] : aElementOf0(v12, v11)) & ! [v11] : ( ~ (szszuzczcdt0(v11) = v11) | ~ aElementOf0(v11, szNzAzT0)) & ! [v11] : ( ~ (szszuzczcdt0(v11) = sz00) | ~ aElementOf0(v11, szNzAzT0)) & ! [v11] : ( ~ aSubsetOf0(v11, szNzAzT0) | ~ isFinite0(v11) | ? [v12] : ? [v13] : (slbdtrb0(v12) = v13 & aSubsetOf0(v11, v13) & aElementOf0(v12, szNzAzT0))) & ! [v11] : ( ~ isCountable0(v11) | ~ isFinite0(v11) | ~ aSet0(v11)) & ! [v11] : ( ~ aElementOf0(v11, xO) | ? [v12] : (sdtlpdtrp0(xe, v12) = v11 & aElementOf0(v12, v4) & aElementOf0(v12, szNzAzT0))) & ! [v11] : ( ~ aElementOf0(v11, szNzAzT0) | sdtlseqdt0(v11, v11)) & ! [v11] : ( ~ aElementOf0(v11, szNzAzT0) | sdtlseqdt0(sz00, v11)) & ! [v11] : ~ aElementOf0(v11, slcrc0) & ! [v11] : ( ~ aSet0(v11) | aSubsetOf0(v11, v11)))
% 133.10/82.48 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10 yields:
% 133.10/82.48 | (1) ~ (xQ = slcrc0) & ~ (xK = sz00) & szDzizrdt0(xd) = all_0_7_7 & sdtlcdtrc0(xd, szNzAzT0) = all_0_8_8 & sdtlcdtrc0(xe, all_0_6_6) = xO & sdtlcdtrc0(xc, all_0_10_10) = all_0_9_9 & sdtlbdtrb0(xd, all_0_7_7) = all_0_6_6 & sdtlpdtrp0(xd, xn) = all_0_7_7 & sdtlpdtrp0(xe, xm) = xx & sdtlpdtrp0(xe, xn) = xp & sdtlpdtrp0(xN, all_0_2_2) = all_0_1_1 & sdtlpdtrp0(xN, xm) = all_0_3_3 & sdtlpdtrp0(xN, xn) = all_0_0_0 & sdtlpdtrp0(xN, sz00) = xS & szDzozmdt0(xd) = szNzAzT0 & szDzozmdt0(xe) = szNzAzT0 & szDzozmdt0(xC) = szNzAzT0 & szDzozmdt0(xN) = szNzAzT0 & szDzozmdt0(xc) = all_0_10_10 & slbdtsldtrb0(xO, xk) = all_0_4_4 & slbdtsldtrb0(xO, xK) = all_0_5_5 & slbdtsldtrb0(xS, xK) = all_0_10_10 & slbdtrb0(sz00) = slcrc0 & szmzizndt0(all_0_3_3) = xx & szmzizndt0(xQ) = xp & sbrdtbr0(xP) = xk & szszuzczcdt0(xn) = all_0_2_2 & szszuzczcdt0(xk) = xK & sdtmndt0(xQ, xp) = xP & aFunction0(xd) & aFunction0(xe) & aFunction0(xC) & aFunction0(xN) & aFunction0(xc) & aSubsetOf0(all_0_0_0, all_0_3_3) & aSubsetOf0(all_0_8_8, xT) & aSubsetOf0(all_0_9_9, xT) & aSubsetOf0(xP, xQ) & aSubsetOf0(xP, xO) & aSubsetOf0(xQ, xO) & aSubsetOf0(xQ, szNzAzT0) & aSubsetOf0(xO, xS) & aSubsetOf0(xS, szNzAzT0) & isCountable0(all_0_6_6) & isCountable0(xO) & isCountable0(xS) & isCountable0(szNzAzT0) & isFinite0(xT) & isFinite0(slcrc0) & aElementOf0(all_0_7_7, xT) & aElementOf0(xm, szNzAzT0) & aElementOf0(xx, xP) & aElementOf0(xx, xO) & aElementOf0(xx, szNzAzT0) & aElementOf0(xn, all_0_6_6) & aElementOf0(xn, szNzAzT0) & aElementOf0(xP, all_0_4_4) & aElementOf0(xp, xQ) & aElementOf0(xp, xO) & aElementOf0(xQ, all_0_5_5) & aElementOf0(xQ, all_0_10_10) & aElementOf0(xk, szNzAzT0) & aElementOf0(xK, szNzAzT0) & aElementOf0(sz00, szNzAzT0) & aSet0(xP) & aSet0(xO) & aSet0(xT) & aSet0(szNzAzT0) & aSet0(slcrc0) & ~ aSubsetOf0(all_0_3_3, all_0_1_1) & ~ isCountable0(slcrc0) & ~ aElementOf0(xx, all_0_1_1) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (sdtexdt0(v0, v2) = v3) | ~ (sdtlpdtrp0(v0, v5) = v6) | ~ (szDzozmdt0(v3) = v4) | ~ (szDzozmdt0(v0) = v1) | ~ aFunction0(v0) | ~ aSubsetOf0(v2, v1) | ~ aElementOf0(v5, v2) | sdtlpdtrp0(v3, v5) = v6) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (sdtlcdtrc0(v0, v2) = v3) | ~ (sdtlpdtrp0(v0, v5) = v4) | ~ (szDzozmdt0(v0) = v1) | ~ aFunction0(v0) | ~ aSubsetOf0(v2, v1) | ~ aElementOf0(v5, v2) | aElementOf0(v4, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (sdtexdt0(v0, v2) = v3) | ~ (szDzozmdt0(v4) = v2) | ~ (szDzozmdt0(v0) = v1) | ~ aFunction0(v4) | ~ aFunction0(v0) | ~ aSubsetOf0(v2, v1) | ? [v5] : ? [v6] : ? [v7] : ( ~ (v7 = v6) & sdtlpdtrp0(v4, v5) = v6 & sdtlpdtrp0(v0, v5) = v7 & aElementOf0(v5, v2))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (sdtlcdtrc0(v0, v2) = v3) | ~ (szDzozmdt0(v0) = v1) | ~ aFunction0(v0) | ~ aSubsetOf0(v2, v1) | ~ aSet0(v4) | ? [v5] : ? [v6] : ? [v7] : (( ~ aElementOf0(v5, v4) | ! [v8] : ( ~ (sdtlpdtrp0(v0, v8) = v5) | ~ aElementOf0(v8, v2))) & (aElementOf0(v5, v4) | (v7 = v5 & sdtlpdtrp0(v0, v6) = v5 & aElementOf0(v6, v2))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | ~ (sdtexdt0(v0, v2) = v3) | ~ (szDzozmdt0(v3) = v4) | ~ (szDzozmdt0(v0) = v1) | ~ aFunction0(v0) | ~ aSubsetOf0(v2, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v1 | ~ (slbdtsldtrb0(v0, v1) = v2) | ~ (sbrdtbr0(v3) = v4) | ~ aElementOf0(v3, v2) | ~ aElementOf0(v1, szNzAzT0) | ~ aSet0(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = slcrc0 | v0 = sz00 | ~ (slbdtsldtrb0(v2, v0) = v4) | ~ (slbdtsldtrb0(v1, v0) = v3) | ~ aSubsetOf0(v3, v4) | ~ aElementOf0(v0, szNzAzT0) | ~ aSet0(v2) | ~ aSet0(v1) | aSubsetOf0(v1, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtexdt0(v0, v2) = v3) | ~ (szDzozmdt0(v3) = v4) | ~ (szDzozmdt0(v0) = v1) | ~ aFunction0(v0) | ~ aSubsetOf0(v2, v1) | aFunction0(v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtlcdtrc0(v3, v2) = v4) | ~ (szDzozmdt0(v3) = v2) | ~ (slbdtsldtrb0(v1, v0) = v2) | ~ aFunction0(v3) | ~ iLess0(v0, xK) | ~ aSubsetOf0(v4, xT) | ~ aSubsetOf0(v1, szNzAzT0) | ~ isCountable0(v1) | ~ aElementOf0(v0, szNzAzT0) | ? [v5] : ? [v6] : ? [v7] : (slbdtsldtrb0(v6, v0) = v7 & aSubsetOf0(v6, v1) & isCountable0(v6) & aElementOf0(v5, xT) & ! [v8] : ! [v9] : (v9 = v5 | ~ (sdtlpdtrp0(v3, v8) = v9) | ~ aElementOf0(v8, v7)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtlcdtrc0(v0, v2) = v3) | ~ (szDzozmdt0(v0) = v1) | ~ aFunction0(v0) | ~ aSubsetOf0(v2, v1) | ~ aElementOf0(v4, v3) | ? [v5] : (sdtlpdtrp0(v0, v5) = v4 & aElementOf0(v5, v2))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtlcdtrc0(v0, v1) = v2) | ~ (sdtlpdtrp0(v0, v3) = v4) | ~ (szDzozmdt0(v0) = v1) | ~ aFunction0(v0) | ~ aElementOf0(v3, v1) | aElementOf0(v4, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (slbdtsldtrb0(v0, v1) = v2) | ~ (sbrdtbr0(v3) = v4) | ~ aElementOf0(v3, v2) | ~ aElementOf0(v1, szNzAzT0) | ~ aSet0(v0) | aSubsetOf0(v3, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | v1 = slcrc0 | v0 = slcrc0 | ~ (szmzizndt0(v1) = v3) | ~ (szmzizndt0(v0) = v2) | ~ aSubsetOf0(v1, szNzAzT0) | ~ aSubsetOf0(v0, szNzAzT0) | ~ aElementOf0(v3, v0) | ~ aElementOf0(v2, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (slbdtsldtrb0(v0, v1) = v2) | ~ aElementOf0(v1, szNzAzT0) | ~ aSet0(v3) | ~ aSet0(v0) | ? [v4] : ? [v5] : (( ~ aSubsetOf0(v4, v0) | ~ aElementOf0(v4, v3) | ( ~ (v5 = v1) & sbrdtbr0(v4) = v5)) & (aElementOf0(v4, v3) | (v5 = v1 & sbrdtbr0(v4) = v1 & aSubsetOf0(v4, v0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (sdtmndt0(v0, v1) = v2) | ~ aElement0(v1) | ~ aSet0(v3) | ~ aSet0(v0) | ? [v4] : ((v4 = v1 | ~ aElementOf0(v4, v3) | ~ aElementOf0(v4, v0) | ~ aElement0(v4)) & (aElementOf0(v4, v3) | ( ~ (v4 = v1) & aElementOf0(v4, v0) & aElement0(v4))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (sdtpldt0(v0, v1) = v2) | ~ aElement0(v1) | ~ aSet0(v3) | ~ aSet0(v0) | ? [v4] : (( ~ aElementOf0(v4, v3) | ~ aElement0(v4) | ( ~ (v4 = v1) & ~ aElementOf0(v4, v0))) & (aElementOf0(v4, v3) | (aElement0(v4) & (v4 = v1 | aElementOf0(v4, v0)))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | ~ (sdtmndt0(v2, v0) = v3) | ~ (sdtpldt0(v1, v0) = v2) | ~ aElement0(v0) | ~ aSet0(v1) | aElementOf0(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | ~ (sdtmndt0(v0, v1) = v2) | ~ aElementOf0(v3, v0) | ~ aElement0(v3) | ~ aElement0(v1) | ~ aSet0(v0) | aElementOf0(v3, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | ~ (sdtpldt0(v0, v1) = v2) | ~ aElementOf0(v3, v2) | ~ aElement0(v1) | ~ aSet0(v0) | aElementOf0(v3, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (sdtmndt0(v0, v1) = v2) | ~ (sdtpldt0(v2, v1) = v3) | ~ aElementOf0(v1, v0) | ~ aSet0(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtexdt0(v3, v2) = v1) | ~ (sdtexdt0(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtlcdtrc0(v3, v2) = v1) | ~ (sdtlcdtrc0(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtlbdtrb0(v3, v2) = v1) | ~ (sdtlbdtrb0(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtlpdtrp0(v3, v2) = v1) | ~ (sdtlpdtrp0(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtlpdtrp0(xN, v1) = v3) | ~ (sdtlpdtrp0(xN, v0) = v2) | ~ aElementOf0(v1, szNzAzT0) | ~ aElementOf0(v0, szNzAzT0) | ? [v4] : ? [v5] : ( ~ (v5 = v4) & szmzizndt0(v3) = v5 & szmzizndt0(v2) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (slbdtsldtrb0(v3, v2) = v1) | ~ (slbdtsldtrb0(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtmndt0(v3, v2) = v1) | ~ (sdtmndt0(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sdtlcdtrc0(v1, v2) = v3) | ~ (sdtlpdtrp0(xC, v0) = v1) | ~ (szDzozmdt0(v1) = v2) | ~ aElementOf0(v0, szNzAzT0) | aSubsetOf0(v3, xT)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sdtlcdtrc0(v0, v2) = v3) | ~ (szDzozmdt0(v0) = v1) | ~ aFunction0(v0) | ~ aSubsetOf0(v2, v1) | ~ isCountable0(v2) | isCountable0(v3) | ? [v4] : ? [v5] : ? [v6] : ( ~ (v5 = v4) & sdtlpdtrp0(v0, v5) = v6 & sdtlpdtrp0(v0, v4) = v6 & aElementOf0(v5, v1) & aElementOf0(v4, v1))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sdtlcdtrc0(v0, v2) = v3) | ~ (szDzozmdt0(v0) = v1) | ~ aFunction0(v0) | ~ aSubsetOf0(v2, v1) | aSet0(v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sdtlpdtrp0(v0, v2) = v3) | ~ (szDzozmdt0(v0) = v1) | ~ aFunction0(v0) | ~ aElementOf0(v2, v1) | aElement0(v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sdtlpdtrp0(xN, v1) = v3) | ~ (sdtlpdtrp0(xN, v0) = v2) | ~ sdtlseqdt0(v1, v0) | ~ aElementOf0(v1, szNzAzT0) | ~ aElementOf0(v0, szNzAzT0) | aSubsetOf0(v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sdtlpdtrp0(xN, v0) = v1) | ~ (szmzizndt0(v1) = v2) | ~ (sdtmndt0(v1, v2) = v3) | ~ aSubsetOf0(v1, szNzAzT0) | ~ isCountable0(v1) | ~ aElementOf0(v0, szNzAzT0) | ? [v4] : ? [v5] : (sdtlpdtrp0(xN, v4) = v5 & szszuzczcdt0(v0) = v4 & aSubsetOf0(v5, v3) & isCountable0(v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sdtlpdtrp0(xN, v0) = v1) | ~ (szmzizndt0(v1) = v2) | ~ (sdtmndt0(v1, v2) = v3) | ~ aElementOf0(v0, szNzAzT0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (sdtlpdtrp0(xC, v0) = v4 & slbdtsldtrb0(v6, xk) = v7 & aSubsetOf0(v6, v3) & isCountable0(v6) & aElementOf0(v5, xT) & ! [v8] : ! [v9] : (v9 = v5 | ~ (sdtlpdtrp0(v4, v8) = v9) | ~ aElementOf0(v8, v7) | ~ aSet0(v8)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sdtlpdtrp0(xN, v0) = v1) | ~ (szmzizndt0(v1) = v2) | ~ (sdtmndt0(v1, v2) = v3) | ~ aElementOf0(v0, szNzAzT0) | ? [v4] : ? [v5] : (sdtlpdtrp0(xC, v0) = v4 & szDzozmdt0(v4) = v5 & slbdtsldtrb0(v3, xk) = v5 & aFunction0(v4) & ! [v6] : ! [v7] : ( ~ (sdtpldt0(v6, v2) = v7) | ~ aElementOf0(v6, v5) | ~ aSet0(v6) | ? [v8] : (sdtlpdtrp0(v4, v6) = v8 & sdtlpdtrp0(xc, v7) = v8)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sdtlpdtrp0(xN, v0) = v1) | ~ (szmzizndt0(v1) = v2) | ~ (sdtmndt0(v1, v2) = v3) | ~ aElementOf0(v0, szNzAzT0) | ? [v4] : (slbdtsldtrb0(v3, xk) = v4 & ! [v5] : ! [v6] : ! [v7] : ( ~ (slbdtsldtrb0(v5, xk) = v6) | ~ aSubsetOf0(v5, v3) | ~ isCountable0(v5) | ~ aElementOf0(v7, v6) | ~ aSet0(v7) | aElementOf0(v7, v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sdtlpdtrp0(xN, v0) = v1) | ~ (szmzizndt0(v1) = v2) | ~ (sdtmndt0(v1, v2) = v3) | ~ aElementOf0(v0, szNzAzT0) | ? [v4] : (slbdtsldtrb0(v3, xk) = v4 & ! [v5] : ! [v6] : ( ~ (sdtpldt0(v5, v2) = v6) | ~ aElementOf0(v5, v4) | ~ aSet0(v5) | aElementOf0(v6, all_0_10_10)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (slbdtsldtrb0(v0, v1) = v2) | ~ (sbrdtbr0(v3) = v1) | ~ aSubsetOf0(v3, v0) | ~ aElementOf0(v1, szNzAzT0) | ~ aSet0(v0) | aElementOf0(v3, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (slbdtsldtrb0(v0, v1) = v2) | ~ aSubsetOf0(v3, v2) | ~ isFinite0(v3) | ~ aElementOf0(v1, szNzAzT0) | ~ aSet0(v0) | ? [v4] : ? [v5] : (slbdtsldtrb0(v4, v1) = v5 & aSubsetOf0(v4, v0) & aSubsetOf0(v3, v5) & isFinite0(v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (slbdtrb0(v1) = v3) | ~ (slbdtrb0(v0) = v2) | ~ sdtlseqdt0(v0, v1) | ~ aElementOf0(v1, szNzAzT0) | ~ aElementOf0(v0, szNzAzT0) | aSubsetOf0(v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (slbdtrb0(v1) = v3) | ~ (slbdtrb0(v0) = v2) | ~ aSubsetOf0(v2, v3) | ~ aElementOf0(v1, szNzAzT0) | ~ aElementOf0(v0, szNzAzT0) | sdtlseqdt0(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (slbdtrb0(v0) = v1) | ~ (szszuzczcdt0(v2) = v3) | ~ sdtlseqdt0(v3, v0) | ~ aElementOf0(v2, szNzAzT0) | ~ aElementOf0(v0, szNzAzT0) | aElementOf0(v2, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (slbdtrb0(v0) = v1) | ~ (szszuzczcdt0(v2) = v3) | ~ aElementOf0(v2, v1) | ~ aElementOf0(v0, szNzAzT0) | sdtlseqdt0(v3, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (slbdtrb0(v0) = v1) | ~ (szszuzczcdt0(v2) = v3) | ~ aElementOf0(v2, v1) | ~ aElementOf0(v0, szNzAzT0) | aElementOf0(v2, szNzAzT0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sbrdtbr0(v2) = v3) | ~ (sbrdtbr0(v0) = v1) | ~ aSubsetOf0(v2, v0) | ~ isFinite0(v0) | ~ aSet0(v0) | sdtlseqdt0(v3, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sbrdtbr0(v0) = v1) | ~ (sdtmndt0(v0, v2) = v3) | ~ isFinite0(v0) | ~ aElementOf0(v2, v0) | ~ aSet0(v0) | ? [v4] : (sbrdtbr0(v3) = v4 & szszuzczcdt0(v4) = v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (szszuzczcdt0(v1) = v3) | ~ (szszuzczcdt0(v0) = v2) | ~ sdtlseqdt0(v2, v3) | ~ aElementOf0(v1, szNzAzT0) | ~ aElementOf0(v0, szNzAzT0) | sdtlseqdt0(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (szszuzczcdt0(v1) = v3) | ~ (szszuzczcdt0(v0) = v2) | ~ sdtlseqdt0(v0, v1) | ~ aElementOf0(v1, szNzAzT0) | ~ aElementOf0(v0, szNzAzT0) | sdtlseqdt0(v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sdtmndt0(v0, v1) = v2) | ~ aElementOf0(v3, v2) | ~ aElement0(v1) | ~ aSet0(v0) | aElementOf0(v3, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sdtmndt0(v0, v1) = v2) | ~ aElementOf0(v3, v2) | ~ aElement0(v1) | ~ aSet0(v0) | aElement0(v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sdtpldt0(v0, v1) = v2) | ~ aElementOf0(v3, v2) | ~ aElement0(v1) | ~ aSet0(v0) | aElement0(v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sdtpldt0(v0, v1) = v2) | ~ aElementOf0(v3, v0) | ~ aElement0(v3) | ~ aElement0(v1) | ~ aSet0(v0) | aElementOf0(v3, v2)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | v0 = slcrc0 | ~ (szmzazxdt0(v0) = v1) | ~ aSubsetOf0(v0, szNzAzT0) | ~ isFinite0(v0) | ~ aElementOf0(v2, v0) | ? [v3] : (aElementOf0(v3, v0) & ~ sdtlseqdt0(v3, v2))) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | v0 = slcrc0 | ~ (szmzizndt0(v0) = v1) | ~ aSubsetOf0(v0, szNzAzT0) | ~ aElementOf0(v2, v0) | ? [v3] : (aElementOf0(v3, v0) & ~ sdtlseqdt0(v2, v3))) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (slbdtrb0(v0) = v1) | ~ aElementOf0(v0, szNzAzT0) | ~ aSet0(v2) | ? [v3] : ? [v4] : (( ~ aElementOf0(v3, v2) | ~ aElementOf0(v3, szNzAzT0) | (szszuzczcdt0(v3) = v4 & ~ sdtlseqdt0(v4, v0))) & (aElementOf0(v3, v2) | (szszuzczcdt0(v3) = v4 & sdtlseqdt0(v4, v0) & aElementOf0(v3, szNzAzT0))))) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (szDzizrdt0(v2) = v1) | ~ (szDzizrdt0(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (szDzozmdt0(v2) = v1) | ~ (szDzozmdt0(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (slbdtrb0(v2) = v1) | ~ (slbdtrb0(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (szmzazxdt0(v2) = v1) | ~ (szmzazxdt0(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (szmzizndt0(v2) = v1) | ~ (szmzizndt0(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (sbrdtbr0(v2) = v1) | ~ (sbrdtbr0(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (szszuzczcdt0(v2) = v1) | ~ (szszuzczcdt0(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (szszuzczcdt0(v1) = v2) | ~ (szszuzczcdt0(v0) = v2) | ~ aElementOf0(v1, szNzAzT0) | ~ aElementOf0(v0, szNzAzT0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = sz00 | ~ (slbdtsldtrb0(v0, v1) = v2) | ~ isCountable0(v0) | ~ aElementOf0(v1, szNzAzT0) | ~ aSet0(v0) | isCountable0(v2)) & ! [v0] : ! [v1] : ! [v2] : (v0 = slcrc0 | ~ (szmzazxdt0(v0) = v1) | ~ aSubsetOf0(v0, szNzAzT0) | ~ isFinite0(v0) | ~ aElementOf0(v2, v0) | sdtlseqdt0(v2, v1)) & ! [v0] : ! [v1] : ! [v2] : (v0 = slcrc0 | ~ (szmzizndt0(v0) = v1) | ~ aSubsetOf0(v0, szNzAzT0) | ~ aElementOf0(v2, v0) | sdtlseqdt0(v1, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (szDzizrdt0(v0) = v1) | ~ (sdtlbdtrb0(v0, v1) = v2) | ~ aFunction0(v0) | isCountable0(v2) | ? [v3] : ? [v4] : (szDzozmdt0(v0) = v3 & ( ~ isCountable0(v3) | (sdtlcdtrc0(v0, v3) = v4 & ~ isFinite0(v4))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (szDzizrdt0(v0) = v1) | ~ (sdtlbdtrb0(v0, v1) = v2) | ~ aFunction0(v0) | aElement0(v1) | ? [v3] : ? [v4] : (szDzozmdt0(v0) = v3 & ( ~ isCountable0(v3) | (sdtlcdtrc0(v0, v3) = v4 & ~ isFinite0(v4))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtlbdtrb0(v0, v1) = v2) | ~ aFunction0(v0) | ~ aElement0(v1) | ? [v3] : (szDzozmdt0(v0) = v3 & aSubsetOf0(v2, v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtlbdtrb0(v0, v1) = v2) | ~ aFunction0(v0) | ~ aElement0(v1) | ? [v3] : (szDzozmdt0(v0) = v3 & aSet0(v2) & ! [v4] : ! [v5] : (v5 = v1 | ~ (sdtlpdtrp0(v0, v4) = v5) | ~ aElementOf0(v4, v2)) & ! [v4] : ! [v5] : ( ~ (sdtlpdtrp0(v0, v4) = v5) | ~ aElementOf0(v4, v2) | aElementOf0(v4, v3)) & ! [v4] : (v4 = v2 | ~ aSet0(v4) | ? [v5] : ? [v6] : (( ~ aElementOf0(v5, v4) | ~ aElementOf0(v5, v3) | ( ~ (v6 = v1) & sdtlpdtrp0(v0, v5) = v6)) & (aElementOf0(v5, v4) | (v6 = v1 & sdtlpdtrp0(v0, v5) = v1 & aElementOf0(v5, v3))))) & ! [v4] : ( ~ (sdtlpdtrp0(v0, v4) = v1) | ~ aElementOf0(v4, v3) | aElementOf0(v4, v2)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (slbdtsldtrb0(v0, v1) = v2) | ~ isFinite0(v0) | ~ aElementOf0(v1, szNzAzT0) | ~ aSet0(v0) | isFinite0(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (slbdtsldtrb0(v0, v1) = v2) | ~ aElementOf0(v1, szNzAzT0) | ~ aSet0(v0) | aSet0(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (slbdtrb0(v1) = v2) | ~ aElementOf0(v1, szNzAzT0) | ~ aElementOf0(v0, szNzAzT0) | ? [v3] : ? [v4] : ((v1 = v0 | aElementOf0(v0, v2) | (slbdtrb0(v3) = v4 & szszuzczcdt0(v1) = v3 & ~ aElementOf0(v0, v4))) & (( ~ (v1 = v0) & ~ aElementOf0(v0, v2)) | (slbdtrb0(v3) = v4 & szszuzczcdt0(v1) = v3 & aElementOf0(v0, v4))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sbrdtbr0(v0) = v2) | ~ sdtlseqdt0(v1, v2) | ~ isFinite0(v0) | ~ aElementOf0(v1, szNzAzT0) | ~ aSet0(v0) | ? [v3] : (sbrdtbr0(v3) = v1 & aSubsetOf0(v3, v0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (szszuzczcdt0(v1) = v2) | ~ aElementOf0(v1, szNzAzT0) | ~ aElementOf0(v0, szNzAzT0) | sdtlseqdt0(v2, v0) | sdtlseqdt0(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtmndt0(v1, v0) = v2) | ~ isCountable0(v1) | ~ aElement0(v0) | ~ aSet0(v1) | isCountable0(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtmndt0(v1, v0) = v2) | ~ isFinite0(v1) | ~ aElement0(v0) | ~ aSet0(v1) | isFinite0(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtmndt0(v0, v1) = v2) | ~ aElementOf0(v1, v2) | ~ aElement0(v1) | ~ aSet0(v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtmndt0(v0, v1) = v2) | ~ aElement0(v1) | ~ aSet0(v0) | aSet0(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v1, v0) = v2) | ~ isCountable0(v1) | ~ aElement0(v0) | ~ aSet0(v1) | isCountable0(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v1, v0) = v2) | ~ isFinite0(v1) | ~ aElement0(v0) | ~ aSet0(v1) | isFinite0(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) | ~ aElement0(v1) | ~ aSet0(v0) | aElementOf0(v1, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) | ~ aElement0(v1) | ~ aSet0(v0) | aSet0(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ sdtlseqdt0(v1, v2) | ~ sdtlseqdt0(v0, v1) | ~ aElementOf0(v2, szNzAzT0) | ~ aElementOf0(v1, szNzAzT0) | ~ aElementOf0(v0, szNzAzT0) | sdtlseqdt0(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ aSubsetOf0(v1, v2) | ~ aSubsetOf0(v0, v1) | ~ aSet0(v2) | ~ aSet0(v1) | ~ aSet0(v0) | aSubsetOf0(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ aSubsetOf0(v1, v0) | ~ aElementOf0(v2, v1) | ~ aSet0(v0) | aElementOf0(v2, v0)) & ! [v0] : ! [v1] : (v1 = v0 | ~ sdtlseqdt0(v1, v0) | ~ sdtlseqdt0(v0, v1) | ~ aElementOf0(v1, szNzAzT0) | ~ aElementOf0(v0, szNzAzT0)) & ! [v0] : ! [v1] : (v1 = v0 | ~ aSubsetOf0(v1, v0) | ~ aSubsetOf0(v0, v1) | ~ aSet0(v1) | ~ aSet0(v0)) & ! [v0] : ! [v1] : (v0 = slcrc0 | ~ (szmzazxdt0(v0) = v1) | ~ aSubsetOf0(v0, szNzAzT0) | ~ isFinite0(v0) | aElementOf0(v1, v0)) & ! [v0] : ! [v1] : (v0 = slcrc0 | ~ (szmzizndt0(v0) = v1) | ~ aSubsetOf0(v0, szNzAzT0) | aElementOf0(v1, v0)) & ! [v0] : ! [v1] : ( ~ (sdtlpdtrp0(xe, v0) = v1) | ~ aElementOf0(v0, szNzAzT0) | ? [v2] : (sdtlpdtrp0(xN, v0) = v2 & szmzizndt0(v2) = v1)) & ! [v0] : ! [v1] : ( ~ (sdtlpdtrp0(xC, v0) = v1) | ~ aElementOf0(v0, szNzAzT0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (sdtlpdtrp0(xd, v0) = v5 & sdtlpdtrp0(xN, v2) = v3 & slbdtsldtrb0(v3, xk) = v4 & szszuzczcdt0(v0) = v2 & ! [v6] : ! [v7] : (v7 = v5 | ~ (sdtlpdtrp0(v1, v6) = v7) | ~ aElementOf0(v6, v4) | ~ aSet0(v6)))) & ! [v0] : ! [v1] : ( ~ (sdtlpdtrp0(xC, v0) = v1) | ~ aElementOf0(v0, szNzAzT0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (sdtlpdtrp0(xN, v2) = v3 & slbdtsldtrb0(v3, xk) = v4 & szszuzczcdt0(v0) = v2 & aElementOf0(v5, xT) & ! [v6] : ! [v7] : (v7 = v5 | ~ (sdtlpdtrp0(v1, v6) = v7) | ~ aElementOf0(v6, v4) | ~ aSet0(v6)))) & ! [v0] : ! [v1] : ( ~ (sdtlpdtrp0(xN, v0) = v1) | ~ aElementOf0(v0, szNzAzT0) | aSubsetOf0(v1, szNzAzT0)) & ! [v0] : ! [v1] : ( ~ (sdtlpdtrp0(xN, v0) = v1) | ~ aElementOf0(v0, szNzAzT0) | isCountable0(v1)) & ! [v0] : ! [v1] : ( ~ (szDzozmdt0(v0) = v1) | ~ aFunction0(v0) | aSet0(v1)) & ! [v0] : ! [v1] : ( ~ (slbdtsldtrb0(v0, v1) = slcrc0) | ~ aElementOf0(v1, szNzAzT0) | ~ aSet0(v0) | isFinite0(v0)) & ! [v0] : ! [v1] : ( ~ (slbdtrb0(v0) = v1) | ~ aElementOf0(v0, szNzAzT0) | sbrdtbr0(v1) = v0) & ! [v0] : ! [v1] : ( ~ (slbdtrb0(v0) = v1) | ~ aElementOf0(v0, szNzAzT0) | isFinite0(v1)) & ! [v0] : ! [v1] : ( ~ (slbdtrb0(v0) = v1) | ~ aElementOf0(v0, szNzAzT0) | aSet0(v1)) & ! [v0] : ! [v1] : ( ~ (sbrdtbr0(v0) = v1) | ~ isFinite0(v0) | ~ aSet0(v0) | aElementOf0(v1, szNzAzT0)) & ! [v0] : ! [v1] : ( ~ (sbrdtbr0(v0) = v1) | ~ isFinite0(v0) | ~ aSet0(v0) | ? [v2] : (szszuzczcdt0(v1) = v2 & ! [v3] : ! [v4] : ( ~ (sdtpldt0(v0, v3) = v4) | ~ aElement0(v3) | sbrdtbr0(v4) = v2 | aElementOf0(v3, v0)))) & ! [v0] : ! [v1] : ( ~ (sbrdtbr0(v0) = v1) | ~ aElementOf0(v1, szNzAzT0) | ~ aSet0(v0) | isFinite0(v0)) & ! [v0] : ! [v1] : ( ~ (sbrdtbr0(v0) = v1) | ~ aSet0(v0) | aElement0(v1)) & ! [v0] : ! [v1] : ( ~ (szszuzczcdt0(v0) = v1) | ~ sdtlseqdt0(v1, sz00) | ~ aElementOf0(v0, szNzAzT0)) & ! [v0] : ! [v1] : ( ~ (szszuzczcdt0(v0) = v1) | ~ aElementOf0(v0, szNzAzT0) | iLess0(v0, v1)) & ! [v0] : ! [v1] : ( ~ (szszuzczcdt0(v0) = v1) | ~ aElementOf0(v0, szNzAzT0) | sdtlseqdt0(v0, v1)) & ! [v0] : ! [v1] : ( ~ (szszuzczcdt0(v0) = v1) | ~ aElementOf0(v0, szNzAzT0) | aElementOf0(v1, szNzAzT0)) & ! [v0] : ! [v1] : ( ~ aSubsetOf0(v1, v0) | ~ isFinite0(v0) | ~ aSet0(v0) | isFinite0(v1)) & ! [v0] : ! [v1] : ( ~ aSubsetOf0(v1, v0) | ~ aSet0(v0) | aSet0(v1)) & ! [v0] : ! [v1] : ( ~ aElementOf0(v1, v0) | ~ aSet0(v0) | aElement0(v1)) & ! [v0] : ! [v1] : ( ~ aSet0(v1) | ~ aSet0(v0) | aSubsetOf0(v1, v0) | ? [v2] : (aElementOf0(v2, v1) & ~ aElementOf0(v2, v0))) & ! [v0] : (v0 = sz00 | ~ (sbrdtbr0(slcrc0) = v0)) & ! [v0] : (v0 = sz00 | ~ aElementOf0(v0, szNzAzT0) | ? [v1] : (szszuzczcdt0(v1) = v0 & aElementOf0(v1, szNzAzT0))) & ! [v0] : (v0 = slcrc0 | ~ (sbrdtbr0(v0) = sz00) | ~ aSet0(v0)) & ! [v0] : (v0 = slcrc0 | ~ aSet0(v0) | ? [v1] : aElementOf0(v1, v0)) & ! [v0] : ( ~ (szszuzczcdt0(v0) = v0) | ~ aElementOf0(v0, szNzAzT0)) & ! [v0] : ( ~ (szszuzczcdt0(v0) = sz00) | ~ aElementOf0(v0, szNzAzT0)) & ! [v0] : ( ~ aSubsetOf0(v0, szNzAzT0) | ~ isFinite0(v0) | ? [v1] : ? [v2] : (slbdtrb0(v1) = v2 & aSubsetOf0(v0, v2) & aElementOf0(v1, szNzAzT0))) & ! [v0] : ( ~ isCountable0(v0) | ~ isFinite0(v0) | ~ aSet0(v0)) & ! [v0] : ( ~ aElementOf0(v0, xO) | ? [v1] : (sdtlpdtrp0(xe, v1) = v0 & aElementOf0(v1, all_0_6_6) & aElementOf0(v1, szNzAzT0))) & ! [v0] : ( ~ aElementOf0(v0, szNzAzT0) | sdtlseqdt0(v0, v0)) & ! [v0] : ( ~ aElementOf0(v0, szNzAzT0) | sdtlseqdt0(sz00, v0)) & ! [v0] : ~ aElementOf0(v0, slcrc0) & ! [v0] : ( ~ aSet0(v0) | aSubsetOf0(v0, v0))
% 133.10/82.51 |
% 133.10/82.51 | Applying alpha-rule on (1) yields:
% 133.10/82.51 | (2) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (szszuzczcdt0(v1) = v3) | ~ (szszuzczcdt0(v0) = v2) | ~ sdtlseqdt0(v0, v1) | ~ aElementOf0(v1, szNzAzT0) | ~ aElementOf0(v0, szNzAzT0) | sdtlseqdt0(v2, v3))
% 133.10/82.51 | (3) sdtmndt0(xQ, xp) = xP
% 133.10/82.51 | (4) ! [v0] : ( ~ aElementOf0(v0, xO) | ? [v1] : (sdtlpdtrp0(xe, v1) = v0 & aElementOf0(v1, all_0_6_6) & aElementOf0(v1, szNzAzT0)))
% 133.10/82.51 | (5) ! [v0] : ! [v1] : ! [v2] : ( ~ aSubsetOf0(v1, v2) | ~ aSubsetOf0(v0, v1) | ~ aSet0(v2) | ~ aSet0(v1) | ~ aSet0(v0) | aSubsetOf0(v0, v2))
% 133.10/82.51 | (6) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtexdt0(v0, v2) = v3) | ~ (szDzozmdt0(v3) = v4) | ~ (szDzozmdt0(v0) = v1) | ~ aFunction0(v0) | ~ aSubsetOf0(v2, v1) | aFunction0(v3))
% 133.10/82.52 | (7) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtlbdtrb0(v0, v1) = v2) | ~ aFunction0(v0) | ~ aElement0(v1) | ? [v3] : (szDzozmdt0(v0) = v3 & aSet0(v2) & ! [v4] : ! [v5] : (v5 = v1 | ~ (sdtlpdtrp0(v0, v4) = v5) | ~ aElementOf0(v4, v2)) & ! [v4] : ! [v5] : ( ~ (sdtlpdtrp0(v0, v4) = v5) | ~ aElementOf0(v4, v2) | aElementOf0(v4, v3)) & ! [v4] : (v4 = v2 | ~ aSet0(v4) | ? [v5] : ? [v6] : (( ~ aElementOf0(v5, v4) | ~ aElementOf0(v5, v3) | ( ~ (v6 = v1) & sdtlpdtrp0(v0, v5) = v6)) & (aElementOf0(v5, v4) | (v6 = v1 & sdtlpdtrp0(v0, v5) = v1 & aElementOf0(v5, v3))))) & ! [v4] : ( ~ (sdtlpdtrp0(v0, v4) = v1) | ~ aElementOf0(v4, v3) | aElementOf0(v4, v2))))
% 133.10/82.52 | (8) ! [v0] : ! [v1] : ! [v2] : ( ~ (szszuzczcdt0(v1) = v2) | ~ aElementOf0(v1, szNzAzT0) | ~ aElementOf0(v0, szNzAzT0) | sdtlseqdt0(v2, v0) | sdtlseqdt0(v0, v1))
% 133.10/82.52 | (9) isCountable0(szNzAzT0)
% 133.10/82.52 | (10) sdtlpdtrp0(xN, all_0_2_2) = all_0_1_1
% 133.10/82.52 | (11) ! [v0] : ! [v1] : ( ~ aSet0(v1) | ~ aSet0(v0) | aSubsetOf0(v1, v0) | ? [v2] : (aElementOf0(v2, v1) & ~ aElementOf0(v2, v0)))
% 133.10/82.52 | (12) ~ aElementOf0(xx, all_0_1_1)
% 133.10/82.52 | (13) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | v0 = slcrc0 | ~ (szmzazxdt0(v0) = v1) | ~ aSubsetOf0(v0, szNzAzT0) | ~ isFinite0(v0) | ~ aElementOf0(v2, v0) | ? [v3] : (aElementOf0(v3, v0) & ~ sdtlseqdt0(v3, v2)))
% 133.10/82.52 | (14) aElementOf0(xQ, all_0_5_5)
% 133.10/82.52 | (15) aFunction0(xd)
% 133.10/82.52 | (16) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (slbdtrb0(v0) = v1) | ~ (szszuzczcdt0(v2) = v3) | ~ sdtlseqdt0(v3, v0) | ~ aElementOf0(v2, szNzAzT0) | ~ aElementOf0(v0, szNzAzT0) | aElementOf0(v2, v1))
% 133.10/82.52 | (17) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sdtpldt0(v0, v1) = v2) | ~ aElementOf0(v3, v0) | ~ aElement0(v3) | ~ aElement0(v1) | ~ aSet0(v0) | aElementOf0(v3, v2))
% 133.10/82.52 | (18) ! [v0] : ( ~ aElementOf0(v0, szNzAzT0) | sdtlseqdt0(v0, v0))
% 133.10/82.52 | (19) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtlcdtrc0(v0, v1) = v2) | ~ (sdtlpdtrp0(v0, v3) = v4) | ~ (szDzozmdt0(v0) = v1) | ~ aFunction0(v0) | ~ aElementOf0(v3, v1) | aElementOf0(v4, v2))
% 133.10/82.52 | (20) aElementOf0(xQ, all_0_10_10)
% 133.10/82.52 | (21) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sdtpldt0(v0, v1) = v2) | ~ aElementOf0(v3, v2) | ~ aElement0(v1) | ~ aSet0(v0) | aElement0(v3))
% 133.10/82.52 | (22) ! [v0] : ! [v1] : ! [v2] : ( ~ (szDzizrdt0(v0) = v1) | ~ (sdtlbdtrb0(v0, v1) = v2) | ~ aFunction0(v0) | isCountable0(v2) | ? [v3] : ? [v4] : (szDzozmdt0(v0) = v3 & ( ~ isCountable0(v3) | (sdtlcdtrc0(v0, v3) = v4 & ~ isFinite0(v4)))))
% 133.10/82.52 | (23) aElementOf0(xx, szNzAzT0)
% 133.10/82.52 | (24) ! [v0] : ! [v1] : ! [v2] : (v0 = slcrc0 | ~ (szmzizndt0(v0) = v1) | ~ aSubsetOf0(v0, szNzAzT0) | ~ aElementOf0(v2, v0) | sdtlseqdt0(v1, v2))
% 133.10/82.52 | (25) szDzozmdt0(xe) = szNzAzT0
% 133.10/82.52 | (26) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtmndt0(v0, v1) = v2) | ~ aElementOf0(v1, v2) | ~ aElement0(v1) | ~ aSet0(v0))
% 133.10/82.52 | (27) isCountable0(xO)
% 133.10/82.52 | (28) aSubsetOf0(all_0_0_0, all_0_3_3)
% 133.10/82.52 | (29) ! [v0] : ! [v1] : ! [v2] : ( ~ (slbdtsldtrb0(v0, v1) = v2) | ~ isFinite0(v0) | ~ aElementOf0(v1, szNzAzT0) | ~ aSet0(v0) | isFinite0(v2))
% 133.10/82.52 | (30) ! [v0] : ! [v1] : ( ~ (sbrdtbr0(v0) = v1) | ~ aSet0(v0) | aElement0(v1))
% 133.10/82.52 | (31) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = slcrc0 | v0 = sz00 | ~ (slbdtsldtrb0(v2, v0) = v4) | ~ (slbdtsldtrb0(v1, v0) = v3) | ~ aSubsetOf0(v3, v4) | ~ aElementOf0(v0, szNzAzT0) | ~ aSet0(v2) | ~ aSet0(v1) | aSubsetOf0(v1, v2))
% 133.10/82.52 | (32) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtmndt0(v1, v0) = v2) | ~ isFinite0(v1) | ~ aElement0(v0) | ~ aSet0(v1) | isFinite0(v2))
% 133.10/82.52 | (33) aFunction0(xC)
% 133.10/82.52 | (34) ! [v0] : ! [v1] : ( ~ (szszuzczcdt0(v0) = v1) | ~ sdtlseqdt0(v1, sz00) | ~ aElementOf0(v0, szNzAzT0))
% 133.10/82.52 | (35) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (sdtpldt0(v0, v1) = v2) | ~ aElement0(v1) | ~ aSet0(v3) | ~ aSet0(v0) | ? [v4] : (( ~ aElementOf0(v4, v3) | ~ aElement0(v4) | ( ~ (v4 = v1) & ~ aElementOf0(v4, v0))) & (aElementOf0(v4, v3) | (aElement0(v4) & (v4 = v1 | aElementOf0(v4, v0))))))
% 133.10/82.52 | (36) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtlcdtrc0(v0, v2) = v3) | ~ (szDzozmdt0(v0) = v1) | ~ aFunction0(v0) | ~ aSubsetOf0(v2, v1) | ~ aElementOf0(v4, v3) | ? [v5] : (sdtlpdtrp0(v0, v5) = v4 & aElementOf0(v5, v2)))
% 133.10/82.52 | (37) szszuzczcdt0(xk) = xK
% 133.10/82.52 | (38) ! [v0] : ! [v1] : ! [v2] : ( ~ aSubsetOf0(v1, v0) | ~ aElementOf0(v2, v1) | ~ aSet0(v0) | aElementOf0(v2, v0))
% 133.10/82.52 | (39) sdtlcdtrc0(xc, all_0_10_10) = all_0_9_9
% 133.10/82.52 | (40) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (szDzozmdt0(v2) = v1) | ~ (szDzozmdt0(v2) = v0))
% 133.10/82.52 | (41) ! [v0] : ( ~ (szszuzczcdt0(v0) = v0) | ~ aElementOf0(v0, szNzAzT0))
% 133.10/82.52 | (42) slbdtsldtrb0(xO, xK) = all_0_5_5
% 133.10/82.52 | (43) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (szmzizndt0(v2) = v1) | ~ (szmzizndt0(v2) = v0))
% 133.10/82.52 | (44) szDzizrdt0(xd) = all_0_7_7
% 133.10/82.53 | (45) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (slbdtsldtrb0(v0, v1) = v2) | ~ (sbrdtbr0(v3) = v1) | ~ aSubsetOf0(v3, v0) | ~ aElementOf0(v1, szNzAzT0) | ~ aSet0(v0) | aElementOf0(v3, v2))
% 133.10/82.53 | (46) ! [v0] : ! [v1] : ! [v2] : ( ~ (slbdtsldtrb0(v0, v1) = v2) | ~ aElementOf0(v1, szNzAzT0) | ~ aSet0(v0) | aSet0(v2))
% 133.10/82.53 | (47) ! [v0] : ! [v1] : (v0 = slcrc0 | ~ (szmzizndt0(v0) = v1) | ~ aSubsetOf0(v0, szNzAzT0) | aElementOf0(v1, v0))
% 133.10/82.53 | (48) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (szszuzczcdt0(v1) = v2) | ~ (szszuzczcdt0(v0) = v2) | ~ aElementOf0(v1, szNzAzT0) | ~ aElementOf0(v0, szNzAzT0))
% 133.10/82.53 | (49) ! [v0] : ! [v1] : ! [v2] : ( ~ (slbdtrb0(v1) = v2) | ~ aElementOf0(v1, szNzAzT0) | ~ aElementOf0(v0, szNzAzT0) | ? [v3] : ? [v4] : ((v1 = v0 | aElementOf0(v0, v2) | (slbdtrb0(v3) = v4 & szszuzczcdt0(v1) = v3 & ~ aElementOf0(v0, v4))) & (( ~ (v1 = v0) & ~ aElementOf0(v0, v2)) | (slbdtrb0(v3) = v4 & szszuzczcdt0(v1) = v3 & aElementOf0(v0, v4)))))
% 133.10/82.53 | (50) ! [v0] : (v0 = sz00 | ~ (sbrdtbr0(slcrc0) = v0))
% 133.10/82.53 | (51) aElementOf0(xn, szNzAzT0)
% 133.10/82.53 | (52) ! [v0] : ~ aElementOf0(v0, slcrc0)
% 133.10/82.53 | (53) ! [v0] : ! [v1] : ( ~ aElementOf0(v1, v0) | ~ aSet0(v0) | aElement0(v1))
% 133.10/82.53 | (54) aSubsetOf0(xQ, szNzAzT0)
% 133.10/82.53 | (55) ~ (xQ = slcrc0)
% 133.10/82.53 | (56) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sbrdtbr0(v0) = v1) | ~ (sdtmndt0(v0, v2) = v3) | ~ isFinite0(v0) | ~ aElementOf0(v2, v0) | ~ aSet0(v0) | ? [v4] : (sbrdtbr0(v3) = v4 & szszuzczcdt0(v4) = v1))
% 133.10/82.53 | (57) slbdtrb0(sz00) = slcrc0
% 133.10/82.53 | (58) ! [v0] : ! [v1] : ! [v2] : ( ~ (sbrdtbr0(v0) = v2) | ~ sdtlseqdt0(v1, v2) | ~ isFinite0(v0) | ~ aElementOf0(v1, szNzAzT0) | ~ aSet0(v0) | ? [v3] : (sbrdtbr0(v3) = v1 & aSubsetOf0(v3, v0)))
% 133.10/82.53 | (59) ~ (xK = sz00)
% 133.10/82.53 | (60) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sdtlpdtrp0(xN, v1) = v3) | ~ (sdtlpdtrp0(xN, v0) = v2) | ~ sdtlseqdt0(v1, v0) | ~ aElementOf0(v1, szNzAzT0) | ~ aElementOf0(v0, szNzAzT0) | aSubsetOf0(v2, v3))
% 133.10/82.53 | (61) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtlcdtrc0(v3, v2) = v1) | ~ (sdtlcdtrc0(v3, v2) = v0))
% 133.10/82.53 | (62) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | ~ (sdtpldt0(v0, v1) = v2) | ~ aElementOf0(v3, v2) | ~ aElement0(v1) | ~ aSet0(v0) | aElementOf0(v3, v0))
% 133.10/82.53 | (63) ! [v0] : ! [v1] : (v0 = slcrc0 | ~ (szmzazxdt0(v0) = v1) | ~ aSubsetOf0(v0, szNzAzT0) | ~ isFinite0(v0) | aElementOf0(v1, v0))
% 133.10/82.53 | (64) aSet0(slcrc0)
% 133.10/82.53 | (65) sdtlpdtrp0(xN, sz00) = xS
% 133.10/82.53 | (66) ! [v0] : ! [v1] : ( ~ (szDzozmdt0(v0) = v1) | ~ aFunction0(v0) | aSet0(v1))
% 133.10/82.53 | (67) ! [v0] : ( ~ aElementOf0(v0, szNzAzT0) | sdtlseqdt0(sz00, v0))
% 133.10/82.53 | (68) ! [v0] : ! [v1] : ! [v2] : (v1 = sz00 | ~ (slbdtsldtrb0(v0, v1) = v2) | ~ isCountable0(v0) | ~ aElementOf0(v1, szNzAzT0) | ~ aSet0(v0) | isCountable0(v2))
% 133.10/82.53 | (69) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sdtlpdtrp0(xN, v0) = v1) | ~ (szmzizndt0(v1) = v2) | ~ (sdtmndt0(v1, v2) = v3) | ~ aSubsetOf0(v1, szNzAzT0) | ~ isCountable0(v1) | ~ aElementOf0(v0, szNzAzT0) | ? [v4] : ? [v5] : (sdtlpdtrp0(xN, v4) = v5 & szszuzczcdt0(v0) = v4 & aSubsetOf0(v5, v3) & isCountable0(v5)))
% 133.10/82.53 | (70) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (sdtexdt0(v0, v2) = v3) | ~ (sdtlpdtrp0(v0, v5) = v6) | ~ (szDzozmdt0(v3) = v4) | ~ (szDzozmdt0(v0) = v1) | ~ aFunction0(v0) | ~ aSubsetOf0(v2, v1) | ~ aElementOf0(v5, v2) | sdtlpdtrp0(v3, v5) = v6)
% 133.10/82.53 | (71) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (szszuzczcdt0(v2) = v1) | ~ (szszuzczcdt0(v2) = v0))
% 133.10/82.53 | (72) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sdtlpdtrp0(xN, v0) = v1) | ~ (szmzizndt0(v1) = v2) | ~ (sdtmndt0(v1, v2) = v3) | ~ aElementOf0(v0, szNzAzT0) | ? [v4] : ? [v5] : (sdtlpdtrp0(xC, v0) = v4 & szDzozmdt0(v4) = v5 & slbdtsldtrb0(v3, xk) = v5 & aFunction0(v4) & ! [v6] : ! [v7] : ( ~ (sdtpldt0(v6, v2) = v7) | ~ aElementOf0(v6, v5) | ~ aSet0(v6) | ? [v8] : (sdtlpdtrp0(v4, v6) = v8 & sdtlpdtrp0(xc, v7) = v8))))
% 133.10/82.53 | (73) ! [v0] : ! [v1] : ( ~ (sdtlpdtrp0(xC, v0) = v1) | ~ aElementOf0(v0, szNzAzT0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (sdtlpdtrp0(xN, v2) = v3 & slbdtsldtrb0(v3, xk) = v4 & szszuzczcdt0(v0) = v2 & aElementOf0(v5, xT) & ! [v6] : ! [v7] : (v7 = v5 | ~ (sdtlpdtrp0(v1, v6) = v7) | ~ aElementOf0(v6, v4) | ~ aSet0(v6))))
% 133.10/82.53 | (74) ! [v0] : ! [v1] : (v1 = v0 | ~ aSubsetOf0(v1, v0) | ~ aSubsetOf0(v0, v1) | ~ aSet0(v1) | ~ aSet0(v0))
% 133.10/82.53 | (75) sdtlcdtrc0(xd, szNzAzT0) = all_0_8_8
% 133.10/82.53 | (76) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtexdt0(v3, v2) = v1) | ~ (sdtexdt0(v3, v2) = v0))
% 133.10/82.53 | (77) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtmndt0(v1, v0) = v2) | ~ isCountable0(v1) | ~ aElement0(v0) | ~ aSet0(v1) | isCountable0(v2))
% 133.10/82.54 | (78) aFunction0(xc)
% 133.10/82.54 | (79) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sdtmndt0(v0, v1) = v2) | ~ aElementOf0(v3, v2) | ~ aElement0(v1) | ~ aSet0(v0) | aElementOf0(v3, v0))
% 133.10/82.54 | (80) ! [v0] : (v0 = slcrc0 | ~ aSet0(v0) | ? [v1] : aElementOf0(v1, v0))
% 133.10/82.54 | (81) isCountable0(xS)
% 133.10/82.54 | (82) aSubsetOf0(all_0_9_9, xT)
% 133.10/82.54 | (83) ! [v0] : (v0 = sz00 | ~ aElementOf0(v0, szNzAzT0) | ? [v1] : (szszuzczcdt0(v1) = v0 & aElementOf0(v1, szNzAzT0)))
% 133.10/82.54 | (84) aElementOf0(xm, szNzAzT0)
% 133.10/82.54 | (85) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (slbdtsldtrb0(v3, v2) = v1) | ~ (slbdtsldtrb0(v3, v2) = v0))
% 133.10/82.54 | (86) ~ isCountable0(slcrc0)
% 133.10/82.54 | (87) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sbrdtbr0(v2) = v3) | ~ (sbrdtbr0(v0) = v1) | ~ aSubsetOf0(v2, v0) | ~ isFinite0(v0) | ~ aSet0(v0) | sdtlseqdt0(v3, v1))
% 133.10/82.54 | (88) ! [v0] : ! [v1] : ( ~ (sdtlpdtrp0(xC, v0) = v1) | ~ aElementOf0(v0, szNzAzT0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (sdtlpdtrp0(xd, v0) = v5 & sdtlpdtrp0(xN, v2) = v3 & slbdtsldtrb0(v3, xk) = v4 & szszuzczcdt0(v0) = v2 & ! [v6] : ! [v7] : (v7 = v5 | ~ (sdtlpdtrp0(v1, v6) = v7) | ~ aElementOf0(v6, v4) | ~ aSet0(v6))))
% 133.10/82.54 | (89) slbdtsldtrb0(xO, xk) = all_0_4_4
% 133.10/82.54 | (90) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtlpdtrp0(xN, v1) = v3) | ~ (sdtlpdtrp0(xN, v0) = v2) | ~ aElementOf0(v1, szNzAzT0) | ~ aElementOf0(v0, szNzAzT0) | ? [v4] : ? [v5] : ( ~ (v5 = v4) & szmzizndt0(v3) = v5 & szmzizndt0(v2) = v4))
% 133.10/82.54 | (91) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sdtlcdtrc0(v1, v2) = v3) | ~ (sdtlpdtrp0(xC, v0) = v1) | ~ (szDzozmdt0(v1) = v2) | ~ aElementOf0(v0, szNzAzT0) | aSubsetOf0(v3, xT))
% 133.10/82.54 | (92) aElementOf0(xp, xO)
% 133.10/82.54 | (93) aElementOf0(xx, xO)
% 133.10/82.54 | (94) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtlcdtrc0(v3, v2) = v4) | ~ (szDzozmdt0(v3) = v2) | ~ (slbdtsldtrb0(v1, v0) = v2) | ~ aFunction0(v3) | ~ iLess0(v0, xK) | ~ aSubsetOf0(v4, xT) | ~ aSubsetOf0(v1, szNzAzT0) | ~ isCountable0(v1) | ~ aElementOf0(v0, szNzAzT0) | ? [v5] : ? [v6] : ? [v7] : (slbdtsldtrb0(v6, v0) = v7 & aSubsetOf0(v6, v1) & isCountable0(v6) & aElementOf0(v5, xT) & ! [v8] : ! [v9] : (v9 = v5 | ~ (sdtlpdtrp0(v3, v8) = v9) | ~ aElementOf0(v8, v7))))
% 133.10/82.54 | (95) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | ~ (sdtmndt0(v2, v0) = v3) | ~ (sdtpldt0(v1, v0) = v2) | ~ aElement0(v0) | ~ aSet0(v1) | aElementOf0(v0, v1))
% 133.10/82.54 | (96) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (slbdtrb0(v0) = v1) | ~ (szszuzczcdt0(v2) = v3) | ~ aElementOf0(v2, v1) | ~ aElementOf0(v0, szNzAzT0) | aElementOf0(v2, szNzAzT0))
% 133.10/82.54 | (97) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0))
% 133.10/82.54 | (98) szDzozmdt0(xd) = szNzAzT0
% 133.10/82.54 | (99) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) | ~ aElement0(v1) | ~ aSet0(v0) | aElementOf0(v1, v2))
% 133.10/82.54 | (100) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (slbdtrb0(v1) = v3) | ~ (slbdtrb0(v0) = v2) | ~ aSubsetOf0(v2, v3) | ~ aElementOf0(v1, szNzAzT0) | ~ aElementOf0(v0, szNzAzT0) | sdtlseqdt0(v0, v1))
% 133.10/82.54 | (101) aElementOf0(xK, szNzAzT0)
% 133.10/82.54 | (102) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtlbdtrb0(v3, v2) = v1) | ~ (sdtlbdtrb0(v3, v2) = v0))
% 133.10/82.54 | (103) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v1, v0) = v2) | ~ isFinite0(v1) | ~ aElement0(v0) | ~ aSet0(v1) | isFinite0(v2))
% 133.10/82.54 | (104) szmzizndt0(all_0_3_3) = xx
% 133.10/82.54 | (105) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (slbdtrb0(v1) = v3) | ~ (slbdtrb0(v0) = v2) | ~ sdtlseqdt0(v0, v1) | ~ aElementOf0(v1, szNzAzT0) | ~ aElementOf0(v0, szNzAzT0) | aSubsetOf0(v2, v3))
% 133.10/82.54 | (106) aSubsetOf0(xQ, xO)
% 133.10/82.54 | (107) ! [v0] : (v0 = slcrc0 | ~ (sbrdtbr0(v0) = sz00) | ~ aSet0(v0))
% 133.10/82.54 | (108) sbrdtbr0(xP) = xk
% 133.10/82.54 | (109) sdtlpdtrp0(xN, xn) = all_0_0_0
% 133.10/82.54 | (110) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sdtlcdtrc0(v0, v2) = v3) | ~ (szDzozmdt0(v0) = v1) | ~ aFunction0(v0) | ~ aSubsetOf0(v2, v1) | ~ isCountable0(v2) | isCountable0(v3) | ? [v4] : ? [v5] : ? [v6] : ( ~ (v5 = v4) & sdtlpdtrp0(v0, v5) = v6 & sdtlpdtrp0(v0, v4) = v6 & aElementOf0(v5, v1) & aElementOf0(v4, v1)))
% 133.10/82.54 | (111) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (slbdtrb0(v0) = v1) | ~ (szszuzczcdt0(v2) = v3) | ~ aElementOf0(v2, v1) | ~ aElementOf0(v0, szNzAzT0) | sdtlseqdt0(v3, v0))
% 133.10/82.54 | (112) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (szDzizrdt0(v2) = v1) | ~ (szDzizrdt0(v2) = v0))
% 133.10/82.54 | (113) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | v0 = slcrc0 | ~ (szmzizndt0(v0) = v1) | ~ aSubsetOf0(v0, szNzAzT0) | ~ aElementOf0(v2, v0) | ? [v3] : (aElementOf0(v3, v0) & ~ sdtlseqdt0(v2, v3)))
% 133.10/82.55 | (114) ! [v0] : ! [v1] : ( ~ (sbrdtbr0(v0) = v1) | ~ aElementOf0(v1, szNzAzT0) | ~ aSet0(v0) | isFinite0(v0))
% 133.10/82.55 | (115) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (sdtlcdtrc0(v0, v2) = v3) | ~ (sdtlpdtrp0(v0, v5) = v4) | ~ (szDzozmdt0(v0) = v1) | ~ aFunction0(v0) | ~ aSubsetOf0(v2, v1) | ~ aElementOf0(v5, v2) | aElementOf0(v4, v3))
% 133.10/82.55 | (116) aSet0(szNzAzT0)
% 133.10/82.55 | (117) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v1 | ~ (slbdtsldtrb0(v0, v1) = v2) | ~ (sbrdtbr0(v3) = v4) | ~ aElementOf0(v3, v2) | ~ aElementOf0(v1, szNzAzT0) | ~ aSet0(v0))
% 133.10/82.55 | (118) szDzozmdt0(xc) = all_0_10_10
% 133.10/82.55 | (119) aFunction0(xe)
% 133.10/82.55 | (120) aElementOf0(xp, xQ)
% 133.10/82.55 | (121) szDzozmdt0(xN) = szNzAzT0
% 133.10/82.55 | (122) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (szmzazxdt0(v2) = v1) | ~ (szmzazxdt0(v2) = v0))
% 133.10/82.55 | (123) aSubsetOf0(xP, xO)
% 133.10/82.55 | (124) ! [v0] : ( ~ aSet0(v0) | aSubsetOf0(v0, v0))
% 133.10/82.55 | (125) ! [v0] : ! [v1] : ( ~ aSubsetOf0(v1, v0) | ~ isFinite0(v0) | ~ aSet0(v0) | isFinite0(v1))
% 133.10/82.55 | (126) aSet0(xT)
% 133.10/82.55 | (127) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (sbrdtbr0(v2) = v1) | ~ (sbrdtbr0(v2) = v0))
% 133.10/82.55 | (128) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (slbdtrb0(v0) = v1) | ~ aElementOf0(v0, szNzAzT0) | ~ aSet0(v2) | ? [v3] : ? [v4] : (( ~ aElementOf0(v3, v2) | ~ aElementOf0(v3, szNzAzT0) | (szszuzczcdt0(v3) = v4 & ~ sdtlseqdt0(v4, v0))) & (aElementOf0(v3, v2) | (szszuzczcdt0(v3) = v4 & sdtlseqdt0(v4, v0) & aElementOf0(v3, szNzAzT0)))))
% 133.10/82.55 | (129) aSubsetOf0(all_0_8_8, xT)
% 133.10/82.55 | (130) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtmndt0(v3, v2) = v1) | ~ (sdtmndt0(v3, v2) = v0))
% 133.10/82.55 | (131) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtlbdtrb0(v0, v1) = v2) | ~ aFunction0(v0) | ~ aElement0(v1) | ? [v3] : (szDzozmdt0(v0) = v3 & aSubsetOf0(v2, v3)))
% 133.10/82.55 | (132) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (slbdtrb0(v2) = v1) | ~ (slbdtrb0(v2) = v0))
% 133.10/82.55 | (133) ! [v0] : ! [v1] : ( ~ (slbdtsldtrb0(v0, v1) = slcrc0) | ~ aElementOf0(v1, szNzAzT0) | ~ aSet0(v0) | isFinite0(v0))
% 133.10/82.55 | (134) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | ~ (sdtexdt0(v0, v2) = v3) | ~ (szDzozmdt0(v3) = v4) | ~ (szDzozmdt0(v0) = v1) | ~ aFunction0(v0) | ~ aSubsetOf0(v2, v1))
% 133.10/82.55 | (135) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (slbdtsldtrb0(v0, v1) = v2) | ~ aSubsetOf0(v3, v2) | ~ isFinite0(v3) | ~ aElementOf0(v1, szNzAzT0) | ~ aSet0(v0) | ? [v4] : ? [v5] : (slbdtsldtrb0(v4, v1) = v5 & aSubsetOf0(v4, v0) & aSubsetOf0(v3, v5) & isFinite0(v4)))
% 133.10/82.55 | (136) aSubsetOf0(xO, xS)
% 133.10/82.55 | (137) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sdtlpdtrp0(xN, v0) = v1) | ~ (szmzizndt0(v1) = v2) | ~ (sdtmndt0(v1, v2) = v3) | ~ aElementOf0(v0, szNzAzT0) | ? [v4] : (slbdtsldtrb0(v3, xk) = v4 & ! [v5] : ! [v6] : ( ~ (sdtpldt0(v5, v2) = v6) | ~ aElementOf0(v5, v4) | ~ aSet0(v5) | aElementOf0(v6, all_0_10_10))))
% 133.10/82.55 | (138) aElementOf0(sz00, szNzAzT0)
% 133.10/82.55 | (139) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sdtmndt0(v0, v1) = v2) | ~ aElementOf0(v3, v2) | ~ aElement0(v1) | ~ aSet0(v0) | aElement0(v3))
% 133.10/82.55 | (140) sdtlpdtrp0(xN, xm) = all_0_3_3
% 133.10/82.55 | (141) ! [v0] : ! [v1] : ( ~ (sdtlpdtrp0(xN, v0) = v1) | ~ aElementOf0(v0, szNzAzT0) | isCountable0(v1))
% 133.10/82.55 | (142) ! [v0] : ! [v1] : ( ~ (szszuzczcdt0(v0) = v1) | ~ aElementOf0(v0, szNzAzT0) | iLess0(v0, v1))
% 133.10/82.55 | (143) isFinite0(slcrc0)
% 133.10/82.55 | (144) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtlpdtrp0(v3, v2) = v1) | ~ (sdtlpdtrp0(v3, v2) = v0))
% 133.10/82.55 | (145) ! [v0] : ! [v1] : ( ~ (szszuzczcdt0(v0) = v1) | ~ aElementOf0(v0, szNzAzT0) | aElementOf0(v1, szNzAzT0))
% 133.10/82.55 | (146) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) | ~ aElement0(v1) | ~ aSet0(v0) | aSet0(v2))
% 133.10/82.55 | (147) ! [v0] : ! [v1] : (v1 = v0 | ~ sdtlseqdt0(v1, v0) | ~ sdtlseqdt0(v0, v1) | ~ aElementOf0(v1, szNzAzT0) | ~ aElementOf0(v0, szNzAzT0))
% 133.10/82.55 | (148) ! [v0] : ! [v1] : ! [v2] : ( ~ sdtlseqdt0(v1, v2) | ~ sdtlseqdt0(v0, v1) | ~ aElementOf0(v2, szNzAzT0) | ~ aElementOf0(v1, szNzAzT0) | ~ aElementOf0(v0, szNzAzT0) | sdtlseqdt0(v0, v2))
% 133.10/82.56 | (149) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (sdtmndt0(v0, v1) = v2) | ~ aElement0(v1) | ~ aSet0(v3) | ~ aSet0(v0) | ? [v4] : ((v4 = v1 | ~ aElementOf0(v4, v3) | ~ aElementOf0(v4, v0) | ~ aElement0(v4)) & (aElementOf0(v4, v3) | ( ~ (v4 = v1) & aElementOf0(v4, v0) & aElement0(v4)))))
% 133.10/82.56 | (150) isFinite0(xT)
% 133.10/82.56 | (151) ! [v0] : ( ~ isCountable0(v0) | ~ isFinite0(v0) | ~ aSet0(v0))
% 133.10/82.56 | (152) isCountable0(all_0_6_6)
% 133.10/82.56 | (153) slbdtsldtrb0(xS, xK) = all_0_10_10
% 133.10/82.56 | (154) ! [v0] : ! [v1] : ( ~ (slbdtrb0(v0) = v1) | ~ aElementOf0(v0, szNzAzT0) | aSet0(v1))
% 133.10/82.56 | (155) aElementOf0(xn, all_0_6_6)
% 133.10/82.56 | (156) sdtlpdtrp0(xe, xn) = xp
% 133.10/82.56 | (157) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v1, v0) = v2) | ~ isCountable0(v1) | ~ aElement0(v0) | ~ aSet0(v1) | isCountable0(v2))
% 133.10/82.56 | (158) szDzozmdt0(xC) = szNzAzT0
% 133.10/82.56 | (159) ! [v0] : ! [v1] : ! [v2] : (v0 = slcrc0 | ~ (szmzazxdt0(v0) = v1) | ~ aSubsetOf0(v0, szNzAzT0) | ~ isFinite0(v0) | ~ aElementOf0(v2, v0) | sdtlseqdt0(v2, v1))
% 133.10/82.56 | (160) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (slbdtsldtrb0(v0, v1) = v2) | ~ aElementOf0(v1, szNzAzT0) | ~ aSet0(v3) | ~ aSet0(v0) | ? [v4] : ? [v5] : (( ~ aSubsetOf0(v4, v0) | ~ aElementOf0(v4, v3) | ( ~ (v5 = v1) & sbrdtbr0(v4) = v5)) & (aElementOf0(v4, v3) | (v5 = v1 & sbrdtbr0(v4) = v1 & aSubsetOf0(v4, v0)))))
% 133.10/82.56 | (161) ! [v0] : ! [v1] : ! [v2] : ( ~ (szDzizrdt0(v0) = v1) | ~ (sdtlbdtrb0(v0, v1) = v2) | ~ aFunction0(v0) | aElement0(v1) | ? [v3] : ? [v4] : (szDzozmdt0(v0) = v3 & ( ~ isCountable0(v3) | (sdtlcdtrc0(v0, v3) = v4 & ~ isFinite0(v4)))))
% 133.10/82.56 | (162) ! [v0] : ! [v1] : ( ~ (szszuzczcdt0(v0) = v1) | ~ aElementOf0(v0, szNzAzT0) | sdtlseqdt0(v0, v1))
% 133.10/82.56 | (163) szmzizndt0(xQ) = xp
% 133.10/82.56 | (164) ! [v0] : ! [v1] : ( ~ (sbrdtbr0(v0) = v1) | ~ isFinite0(v0) | ~ aSet0(v0) | aElementOf0(v1, szNzAzT0))
% 133.10/82.56 | (165) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sdtlpdtrp0(v0, v2) = v3) | ~ (szDzozmdt0(v0) = v1) | ~ aFunction0(v0) | ~ aElementOf0(v2, v1) | aElement0(v3))
% 133.10/82.56 | (166) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sdtlpdtrp0(xN, v0) = v1) | ~ (szmzizndt0(v1) = v2) | ~ (sdtmndt0(v1, v2) = v3) | ~ aElementOf0(v0, szNzAzT0) | ? [v4] : (slbdtsldtrb0(v3, xk) = v4 & ! [v5] : ! [v6] : ! [v7] : ( ~ (slbdtsldtrb0(v5, xk) = v6) | ~ aSubsetOf0(v5, v3) | ~ isCountable0(v5) | ~ aElementOf0(v7, v6) | ~ aSet0(v7) | aElementOf0(v7, v4))))
% 133.10/82.56 | (167) aFunction0(xN)
% 133.10/82.56 | (168) ! [v0] : ! [v1] : ( ~ aSubsetOf0(v1, v0) | ~ aSet0(v0) | aSet0(v1))
% 133.10/82.56 | (169) ! [v0] : ( ~ (szszuzczcdt0(v0) = sz00) | ~ aElementOf0(v0, szNzAzT0))
% 133.10/82.56 | (170) aElementOf0(xk, szNzAzT0)
% 133.10/82.56 | (171) sdtlcdtrc0(xe, all_0_6_6) = xO
% 133.10/82.56 | (172) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (sdtlcdtrc0(v0, v2) = v3) | ~ (szDzozmdt0(v0) = v1) | ~ aFunction0(v0) | ~ aSubsetOf0(v2, v1) | ~ aSet0(v4) | ? [v5] : ? [v6] : ? [v7] : (( ~ aElementOf0(v5, v4) | ! [v8] : ( ~ (sdtlpdtrp0(v0, v8) = v5) | ~ aElementOf0(v8, v2))) & (aElementOf0(v5, v4) | (v7 = v5 & sdtlpdtrp0(v0, v6) = v5 & aElementOf0(v6, v2)))))
% 133.10/82.56 | (173) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | ~ (sdtmndt0(v0, v1) = v2) | ~ aElementOf0(v3, v0) | ~ aElement0(v3) | ~ aElement0(v1) | ~ aSet0(v0) | aElementOf0(v3, v2))
% 133.10/82.56 | (174) aElementOf0(xP, all_0_4_4)
% 133.10/82.56 | (175) aSubsetOf0(xP, xQ)
% 133.10/82.56 | (176) ! [v0] : ! [v1] : ( ~ (slbdtrb0(v0) = v1) | ~ aElementOf0(v0, szNzAzT0) | sbrdtbr0(v1) = v0)
% 133.10/82.56 | (177) ~ aSubsetOf0(all_0_3_3, all_0_1_1)
% 133.10/82.56 | (178) aSet0(xP)
% 133.10/82.56 | (179) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sdtlpdtrp0(xN, v0) = v1) | ~ (szmzizndt0(v1) = v2) | ~ (sdtmndt0(v1, v2) = v3) | ~ aElementOf0(v0, szNzAzT0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (sdtlpdtrp0(xC, v0) = v4 & slbdtsldtrb0(v6, xk) = v7 & aSubsetOf0(v6, v3) & isCountable0(v6) & aElementOf0(v5, xT) & ! [v8] : ! [v9] : (v9 = v5 | ~ (sdtlpdtrp0(v4, v8) = v9) | ~ aElementOf0(v8, v7) | ~ aSet0(v8))))
% 133.10/82.56 | (180) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (szszuzczcdt0(v1) = v3) | ~ (szszuzczcdt0(v0) = v2) | ~ sdtlseqdt0(v2, v3) | ~ aElementOf0(v1, szNzAzT0) | ~ aElementOf0(v0, szNzAzT0) | sdtlseqdt0(v0, v1))
% 133.10/82.56 | (181) aElementOf0(xx, xP)
% 133.10/82.56 | (182) ! [v0] : ! [v1] : ( ~ (slbdtrb0(v0) = v1) | ~ aElementOf0(v0, szNzAzT0) | isFinite0(v1))
% 133.10/82.56 | (183) ! [v0] : ! [v1] : ( ~ (sdtlpdtrp0(xe, v0) = v1) | ~ aElementOf0(v0, szNzAzT0) | ? [v2] : (sdtlpdtrp0(xN, v0) = v2 & szmzizndt0(v2) = v1))
% 133.10/82.56 | (184) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (sdtexdt0(v0, v2) = v3) | ~ (szDzozmdt0(v4) = v2) | ~ (szDzozmdt0(v0) = v1) | ~ aFunction0(v4) | ~ aFunction0(v0) | ~ aSubsetOf0(v2, v1) | ? [v5] : ? [v6] : ? [v7] : ( ~ (v7 = v6) & sdtlpdtrp0(v4, v5) = v6 & sdtlpdtrp0(v0, v5) = v7 & aElementOf0(v5, v2)))
% 133.10/82.56 | (185) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (slbdtsldtrb0(v0, v1) = v2) | ~ (sbrdtbr0(v3) = v4) | ~ aElementOf0(v3, v2) | ~ aElementOf0(v1, szNzAzT0) | ~ aSet0(v0) | aSubsetOf0(v3, v0))
% 133.10/82.56 | (186) ! [v0] : ! [v1] : ( ~ (sdtlpdtrp0(xN, v0) = v1) | ~ aElementOf0(v0, szNzAzT0) | aSubsetOf0(v1, szNzAzT0))
% 133.10/82.56 | (187) ! [v0] : ( ~ aSubsetOf0(v0, szNzAzT0) | ~ isFinite0(v0) | ? [v1] : ? [v2] : (slbdtrb0(v1) = v2 & aSubsetOf0(v0, v2) & aElementOf0(v1, szNzAzT0)))
% 133.10/82.56 | (188) sdtlbdtrb0(xd, all_0_7_7) = all_0_6_6
% 133.10/82.56 | (189) aSet0(xO)
% 133.10/82.56 | (190) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtmndt0(v0, v1) = v2) | ~ aElement0(v1) | ~ aSet0(v0) | aSet0(v2))
% 133.10/82.56 | (191) aElementOf0(all_0_7_7, xT)
% 133.10/82.56 | (192) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (sdtmndt0(v0, v1) = v2) | ~ (sdtpldt0(v2, v1) = v3) | ~ aElementOf0(v1, v0) | ~ aSet0(v0))
% 133.10/82.57 | (193) aSubsetOf0(xS, szNzAzT0)
% 133.10/82.57 | (194) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sdtlcdtrc0(v0, v2) = v3) | ~ (szDzozmdt0(v0) = v1) | ~ aFunction0(v0) | ~ aSubsetOf0(v2, v1) | aSet0(v3))
% 133.10/82.57 | (195) szszuzczcdt0(xn) = all_0_2_2
% 133.10/82.57 | (196) ! [v0] : ! [v1] : ( ~ (sbrdtbr0(v0) = v1) | ~ isFinite0(v0) | ~ aSet0(v0) | ? [v2] : (szszuzczcdt0(v1) = v2 & ! [v3] : ! [v4] : ( ~ (sdtpldt0(v0, v3) = v4) | ~ aElement0(v3) | sbrdtbr0(v4) = v2 | aElementOf0(v3, v0))))
% 133.10/82.57 | (197) sdtlpdtrp0(xe, xm) = xx
% 133.10/82.57 | (198) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | v1 = slcrc0 | v0 = slcrc0 | ~ (szmzizndt0(v1) = v3) | ~ (szmzizndt0(v0) = v2) | ~ aSubsetOf0(v1, szNzAzT0) | ~ aSubsetOf0(v0, szNzAzT0) | ~ aElementOf0(v3, v0) | ~ aElementOf0(v2, v1))
% 133.10/82.57 | (199) sdtlpdtrp0(xd, xn) = all_0_7_7
% 133.10/82.57 |
% 133.10/82.57 | Instantiating formula (144) with xN, xm, all_0_3_3, all_0_1_1 and discharging atoms sdtlpdtrp0(xN, xm) = all_0_3_3, yields:
% 133.10/82.57 | (200) all_0_1_1 = all_0_3_3 | ~ (sdtlpdtrp0(xN, xm) = all_0_1_1)
% 133.10/82.57 |
% 133.10/82.57 | Instantiating formula (144) with xN, xn, all_0_0_0, all_0_1_1 and discharging atoms sdtlpdtrp0(xN, xn) = all_0_0_0, yields:
% 133.10/82.57 | (201) all_0_0_0 = all_0_1_1 | ~ (sdtlpdtrp0(xN, xn) = all_0_1_1)
% 133.10/82.57 |
% 133.10/82.57 | Instantiating formula (144) with xN, sz00, xS, all_0_0_0 and discharging atoms sdtlpdtrp0(xN, sz00) = xS, yields:
% 133.10/82.57 | (202) all_0_0_0 = xS | ~ (sdtlpdtrp0(xN, sz00) = all_0_0_0)
% 133.10/82.57 |
% 133.10/82.57 | Instantiating formula (52) with xn yields:
% 133.10/82.57 | (203) ~ aElementOf0(xn, slcrc0)
% 133.10/82.57 |
% 133.10/82.57 | Instantiating formula (169) with xn and discharging atoms aElementOf0(xn, szNzAzT0), yields:
% 133.10/82.57 | (204) ~ (szszuzczcdt0(xn) = sz00)
% 133.10/82.57 |
% 133.10/82.57 | Instantiating formula (52) with xK yields:
% 133.10/82.57 | (205) ~ aElementOf0(xK, slcrc0)
% 133.10/82.57 |
% 133.10/82.57 | Using (195) and (204) yields:
% 133.10/82.57 | (206) ~ (all_0_2_2 = sz00)
% 133.10/82.57 |
% 133.10/82.57 | Instantiating formula (183) with xp, xn and discharging atoms sdtlpdtrp0(xe, xn) = xp, aElementOf0(xn, szNzAzT0), yields:
% 133.10/82.57 | (207) ? [v0] : (sdtlpdtrp0(xN, xn) = v0 & szmzizndt0(v0) = xp)
% 133.10/82.57 |
% 133.10/82.57 | Instantiating formula (186) with all_0_3_3, xm and discharging atoms sdtlpdtrp0(xN, xm) = all_0_3_3, aElementOf0(xm, szNzAzT0), yields:
% 133.10/82.57 | (208) aSubsetOf0(all_0_3_3, szNzAzT0)
% 133.10/82.57 |
% 133.10/82.57 | Instantiating formula (141) with all_0_3_3, xm and discharging atoms sdtlpdtrp0(xN, xm) = all_0_3_3, aElementOf0(xm, szNzAzT0), yields:
% 133.10/82.57 | (209) isCountable0(all_0_3_3)
% 133.10/82.57 |
% 133.10/82.57 | Instantiating formula (186) with all_0_0_0, xn and discharging atoms sdtlpdtrp0(xN, xn) = all_0_0_0, aElementOf0(xn, szNzAzT0), yields:
% 133.10/82.57 | (210) aSubsetOf0(all_0_0_0, szNzAzT0)
% 133.10/82.57 |
% 133.10/82.57 | Instantiating formula (141) with all_0_0_0, xn and discharging atoms sdtlpdtrp0(xN, xn) = all_0_0_0, aElementOf0(xn, szNzAzT0), yields:
% 133.10/82.57 | (211) isCountable0(all_0_0_0)
% 133.10/82.57 |
% 133.10/82.57 | Instantiating formula (176) with slcrc0, sz00 and discharging atoms slbdtrb0(sz00) = slcrc0, aElementOf0(sz00, szNzAzT0), yields:
% 133.10/82.57 | (212) sbrdtbr0(slcrc0) = sz00
% 133.10/82.57 |
% 133.10/82.57 | Instantiating formula (145) with all_0_2_2, xn and discharging atoms szszuzczcdt0(xn) = all_0_2_2, aElementOf0(xn, szNzAzT0), yields:
% 133.10/82.57 | (213) aElementOf0(all_0_2_2, szNzAzT0)
% 133.10/82.57 |
% 133.10/82.57 | Instantiating formula (18) with xm and discharging atoms aElementOf0(xm, szNzAzT0), yields:
% 133.10/82.57 | (214) sdtlseqdt0(xm, xm)
% 133.10/82.57 |
% 133.10/82.57 | Instantiating formula (67) with xm and discharging atoms aElementOf0(xm, szNzAzT0), yields:
% 133.10/82.57 | (215) sdtlseqdt0(sz00, xm)
% 133.10/82.57 |
% 133.10/82.57 | Instantiating formula (4) with xx and discharging atoms aElementOf0(xx, xO), yields:
% 133.10/82.57 | (216) ? [v0] : (sdtlpdtrp0(xe, v0) = xx & aElementOf0(v0, all_0_6_6) & aElementOf0(v0, szNzAzT0))
% 133.10/82.57 |
% 133.10/82.57 | Instantiating formula (90) with all_0_0_0, xS, xn, sz00 and discharging atoms sdtlpdtrp0(xN, xn) = all_0_0_0, sdtlpdtrp0(xN, sz00) = xS, aElementOf0(xn, szNzAzT0), aElementOf0(sz00, szNzAzT0), yields:
% 133.10/82.57 | (217) xn = sz00 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & szmzizndt0(all_0_0_0) = v1 & szmzizndt0(xS) = v0)
% 133.10/82.57 |
% 133.10/82.57 | Instantiating formula (49) with slcrc0, sz00, xn and discharging atoms slbdtrb0(sz00) = slcrc0, aElementOf0(xn, szNzAzT0), aElementOf0(sz00, szNzAzT0), yields:
% 133.10/82.57 | (218) ? [v0] : ? [v1] : ((xn = sz00 | aElementOf0(xn, slcrc0) | (slbdtrb0(v0) = v1 & szszuzczcdt0(sz00) = v0 & ~ aElementOf0(xn, v1))) & (( ~ (xn = sz00) & ~ aElementOf0(xn, slcrc0)) | (slbdtrb0(v0) = v1 & szszuzczcdt0(sz00) = v0 & aElementOf0(xn, v1))))
% 133.10/82.57 |
% 133.10/82.57 | Instantiating formula (49) with slcrc0, sz00, xK and discharging atoms slbdtrb0(sz00) = slcrc0, aElementOf0(xK, szNzAzT0), aElementOf0(sz00, szNzAzT0), yields:
% 133.10/82.57 | (219) ? [v0] : ? [v1] : ((xK = sz00 | aElementOf0(xK, slcrc0) | (slbdtrb0(v0) = v1 & szszuzczcdt0(sz00) = v0 & ~ aElementOf0(xK, v1))) & (( ~ (xK = sz00) & ~ aElementOf0(xK, slcrc0)) | (slbdtrb0(v0) = v1 & szszuzczcdt0(sz00) = v0 & aElementOf0(xK, v1))))
% 133.10/82.57 |
% 133.10/82.57 | Instantiating formula (83) with xK and discharging atoms aElementOf0(xK, szNzAzT0), yields:
% 133.10/82.57 | (220) xK = sz00 | ? [v0] : (szszuzczcdt0(v0) = xK & aElementOf0(v0, szNzAzT0))
% 133.10/82.57 |
% 133.10/82.57 | Instantiating formula (18) with sz00 and discharging atoms aElementOf0(sz00, szNzAzT0), yields:
% 133.10/82.57 | (221) sdtlseqdt0(sz00, sz00)
% 133.10/82.57 |
% 133.10/82.57 | Instantiating formula (168) with xQ, szNzAzT0 and discharging atoms aSubsetOf0(xQ, szNzAzT0), aSet0(szNzAzT0), yields:
% 133.10/82.57 | (222) aSet0(xQ)
% 133.10/82.57 |
% 133.10/82.57 | Instantiating formula (168) with xS, szNzAzT0 and discharging atoms aSubsetOf0(xS, szNzAzT0), aSet0(szNzAzT0), yields:
% 133.10/82.57 | (223) aSet0(xS)
% 133.10/82.57 |
% 133.10/82.57 | Instantiating formula (53) with xp, xO and discharging atoms aElementOf0(xp, xO), aSet0(xO), yields:
% 133.10/82.57 | (224) aElement0(xp)
% 133.10/82.57 |
% 133.10/82.57 | Instantiating formula (168) with all_0_0_0, szNzAzT0 and discharging atoms aSet0(szNzAzT0), yields:
% 133.10/82.57 | (225) ~ aSubsetOf0(all_0_0_0, szNzAzT0) | aSet0(all_0_0_0)
% 133.10/82.57 |
% 133.10/82.57 | Instantiating formula (160) with slcrc0, all_0_10_10, xK, xS and discharging atoms slbdtsldtrb0(xS, xK) = all_0_10_10, aElementOf0(xK, szNzAzT0), aSet0(slcrc0), yields:
% 133.10/82.57 | (226) all_0_10_10 = slcrc0 | ~ aSet0(xS) | ? [v0] : ? [v1] : (( ~ aSubsetOf0(v0, xS) | ~ aElementOf0(v0, slcrc0) | ( ~ (v1 = xK) & sbrdtbr0(v0) = v1)) & (aElementOf0(v0, slcrc0) | (v1 = xK & sbrdtbr0(v0) = xK & aSubsetOf0(v0, xS))))
% 133.10/82.57 |
% 133.10/82.57 | Instantiating (219) with all_29_0_11, all_29_1_12 yields:
% 133.10/82.57 | (227) (xK = sz00 | aElementOf0(xK, slcrc0) | (slbdtrb0(all_29_1_12) = all_29_0_11 & szszuzczcdt0(sz00) = all_29_1_12 & ~ aElementOf0(xK, all_29_0_11))) & (( ~ (xK = sz00) & ~ aElementOf0(xK, slcrc0)) | (slbdtrb0(all_29_1_12) = all_29_0_11 & szszuzczcdt0(sz00) = all_29_1_12 & aElementOf0(xK, all_29_0_11)))
% 133.10/82.57 |
% 133.10/82.57 | Applying alpha-rule on (227) yields:
% 133.10/82.57 | (228) xK = sz00 | aElementOf0(xK, slcrc0) | (slbdtrb0(all_29_1_12) = all_29_0_11 & szszuzczcdt0(sz00) = all_29_1_12 & ~ aElementOf0(xK, all_29_0_11))
% 133.10/82.57 | (229) ( ~ (xK = sz00) & ~ aElementOf0(xK, slcrc0)) | (slbdtrb0(all_29_1_12) = all_29_0_11 & szszuzczcdt0(sz00) = all_29_1_12 & aElementOf0(xK, all_29_0_11))
% 133.10/82.57 |
% 133.10/82.57 | Instantiating (216) with all_32_0_17 yields:
% 133.10/82.57 | (230) sdtlpdtrp0(xe, all_32_0_17) = xx & aElementOf0(all_32_0_17, all_0_6_6) & aElementOf0(all_32_0_17, szNzAzT0)
% 133.10/82.57 |
% 133.10/82.57 | Applying alpha-rule on (230) yields:
% 133.10/82.57 | (231) sdtlpdtrp0(xe, all_32_0_17) = xx
% 133.10/82.57 | (232) aElementOf0(all_32_0_17, all_0_6_6)
% 133.10/82.57 | (233) aElementOf0(all_32_0_17, szNzAzT0)
% 133.10/82.57 |
% 133.10/82.57 | Instantiating (218) with all_37_0_21, all_37_1_22 yields:
% 133.10/82.57 | (234) (xn = sz00 | aElementOf0(xn, slcrc0) | (slbdtrb0(all_37_1_22) = all_37_0_21 & szszuzczcdt0(sz00) = all_37_1_22 & ~ aElementOf0(xn, all_37_0_21))) & (( ~ (xn = sz00) & ~ aElementOf0(xn, slcrc0)) | (slbdtrb0(all_37_1_22) = all_37_0_21 & szszuzczcdt0(sz00) = all_37_1_22 & aElementOf0(xn, all_37_0_21)))
% 133.10/82.57 |
% 133.10/82.57 | Applying alpha-rule on (234) yields:
% 133.10/82.57 | (235) xn = sz00 | aElementOf0(xn, slcrc0) | (slbdtrb0(all_37_1_22) = all_37_0_21 & szszuzczcdt0(sz00) = all_37_1_22 & ~ aElementOf0(xn, all_37_0_21))
% 133.10/82.58 | (236) ( ~ (xn = sz00) & ~ aElementOf0(xn, slcrc0)) | (slbdtrb0(all_37_1_22) = all_37_0_21 & szszuzczcdt0(sz00) = all_37_1_22 & aElementOf0(xn, all_37_0_21))
% 133.10/82.58 |
% 133.10/82.58 | Instantiating (207) with all_40_0_25 yields:
% 133.10/82.58 | (237) sdtlpdtrp0(xN, xn) = all_40_0_25 & szmzizndt0(all_40_0_25) = xp
% 133.10/82.58 |
% 133.10/82.58 | Applying alpha-rule on (237) yields:
% 133.10/82.58 | (238) sdtlpdtrp0(xN, xn) = all_40_0_25
% 133.10/82.58 | (239) szmzizndt0(all_40_0_25) = xp
% 133.10/82.58 |
% 133.10/82.58 +-Applying beta-rule and splitting (220), into two cases.
% 133.10/82.58 |-Branch one:
% 133.10/82.58 | (240) xK = sz00
% 133.10/82.58 |
% 133.10/82.58 | Equations (240) can reduce 59 to:
% 133.10/82.58 | (241) $false
% 133.10/82.58 |
% 133.10/82.58 |-The branch is then unsatisfiable
% 133.10/82.58 |-Branch two:
% 133.10/82.58 | (59) ~ (xK = sz00)
% 133.10/82.58 | (243) ? [v0] : (szszuzczcdt0(v0) = xK & aElementOf0(v0, szNzAzT0))
% 133.10/82.58 |
% 133.10/82.58 +-Applying beta-rule and splitting (226), into two cases.
% 133.10/82.58 |-Branch one:
% 133.10/82.58 | (244) ~ aSet0(xS)
% 133.10/82.58 |
% 133.10/82.58 | Using (223) and (244) yields:
% 133.10/82.58 | (245) $false
% 133.10/82.58 |
% 133.10/82.58 |-The branch is then unsatisfiable
% 133.10/82.58 |-Branch two:
% 133.10/82.58 | (223) aSet0(xS)
% 133.10/82.58 | (247) all_0_10_10 = slcrc0 | ? [v0] : ? [v1] : (( ~ aSubsetOf0(v0, xS) | ~ aElementOf0(v0, slcrc0) | ( ~ (v1 = xK) & sbrdtbr0(v0) = v1)) & (aElementOf0(v0, slcrc0) | (v1 = xK & sbrdtbr0(v0) = xK & aSubsetOf0(v0, xS))))
% 133.10/82.58 |
% 133.10/82.58 +-Applying beta-rule and splitting (228), into two cases.
% 133.10/82.58 |-Branch one:
% 133.10/82.58 | (248) aElementOf0(xK, slcrc0)
% 133.10/82.58 |
% 133.10/82.58 | Using (248) and (205) yields:
% 133.10/82.58 | (245) $false
% 133.10/82.58 |
% 133.10/82.58 |-The branch is then unsatisfiable
% 133.10/82.58 |-Branch two:
% 133.10/82.58 | (205) ~ aElementOf0(xK, slcrc0)
% 133.10/82.58 | (251) xK = sz00 | (slbdtrb0(all_29_1_12) = all_29_0_11 & szszuzczcdt0(sz00) = all_29_1_12 & ~ aElementOf0(xK, all_29_0_11))
% 133.10/82.58 |
% 133.10/82.58 +-Applying beta-rule and splitting (251), into two cases.
% 133.10/82.58 |-Branch one:
% 133.10/82.58 | (240) xK = sz00
% 133.10/82.58 |
% 133.10/82.58 | Equations (240) can reduce 59 to:
% 133.10/82.58 | (241) $false
% 133.10/82.58 |
% 133.10/82.58 |-The branch is then unsatisfiable
% 133.10/82.58 |-Branch two:
% 133.10/82.58 | (59) ~ (xK = sz00)
% 133.10/82.58 | (255) slbdtrb0(all_29_1_12) = all_29_0_11 & szszuzczcdt0(sz00) = all_29_1_12 & ~ aElementOf0(xK, all_29_0_11)
% 133.10/82.58 |
% 133.10/82.58 +-Applying beta-rule and splitting (225), into two cases.
% 133.10/82.58 |-Branch one:
% 133.10/82.58 | (256) ~ aSubsetOf0(all_0_0_0, szNzAzT0)
% 133.10/82.58 |
% 133.10/82.58 | Using (210) and (256) yields:
% 133.10/82.58 | (245) $false
% 133.10/82.58 |
% 133.10/82.58 |-The branch is then unsatisfiable
% 133.10/82.58 |-Branch two:
% 133.10/82.58 | (210) aSubsetOf0(all_0_0_0, szNzAzT0)
% 133.10/82.58 | (259) aSet0(all_0_0_0)
% 133.10/82.58 |
% 133.10/82.58 | Instantiating formula (144) with xN, xn, all_40_0_25, all_0_0_0 and discharging atoms sdtlpdtrp0(xN, xn) = all_40_0_25, sdtlpdtrp0(xN, xn) = all_0_0_0, yields:
% 133.10/82.58 | (260) all_40_0_25 = all_0_0_0
% 133.10/82.58 |
% 133.10/82.58 | Using (211) and (86) yields:
% 133.10/82.58 | (261) ~ (all_0_0_0 = slcrc0)
% 133.10/82.58 |
% 133.10/82.58 | Using (209) and (86) yields:
% 133.10/82.58 | (262) ~ (all_0_3_3 = slcrc0)
% 133.10/82.58 |
% 133.10/82.58 | From (260) and (238) follows:
% 133.59/82.58 | (109) sdtlpdtrp0(xN, xn) = all_0_0_0
% 133.59/82.58 |
% 133.59/82.58 | From (260) and (239) follows:
% 133.59/82.58 | (264) szmzizndt0(all_0_0_0) = xp
% 133.59/82.58 |
% 133.59/82.58 | Instantiating formula (47) with xp, all_0_0_0 and discharging atoms szmzizndt0(all_0_0_0) = xp, aSubsetOf0(all_0_0_0, szNzAzT0), yields:
% 133.59/82.58 | (265) all_0_0_0 = slcrc0 | aElementOf0(xp, all_0_0_0)
% 133.59/82.58 |
% 133.59/82.58 | Instantiating formula (60) with all_0_3_3, all_0_3_3, xm, xm and discharging atoms sdtlpdtrp0(xN, xm) = all_0_3_3, sdtlseqdt0(xm, xm), aElementOf0(xm, szNzAzT0), yields:
% 133.59/82.58 | (266) aSubsetOf0(all_0_3_3, all_0_3_3)
% 133.59/82.58 |
% 133.59/82.58 | Instantiating formula (58) with sz00, sz00, slcrc0 and discharging atoms sbrdtbr0(slcrc0) = sz00, sdtlseqdt0(sz00, sz00), isFinite0(slcrc0), aElementOf0(sz00, szNzAzT0), aSet0(slcrc0), yields:
% 133.59/82.58 | (267) ? [v0] : (sbrdtbr0(v0) = sz00 & aSubsetOf0(v0, slcrc0))
% 133.59/82.58 |
% 133.59/82.58 | Instantiating formula (60) with xS, all_0_3_3, sz00, xm and discharging atoms sdtlpdtrp0(xN, xm) = all_0_3_3, sdtlpdtrp0(xN, sz00) = xS, sdtlseqdt0(sz00, xm), aElementOf0(xm, szNzAzT0), aElementOf0(sz00, szNzAzT0), yields:
% 133.59/82.58 | (268) aSubsetOf0(all_0_3_3, xS)
% 133.59/82.58 |
% 133.59/82.58 | Instantiating formula (168) with all_0_3_3, szNzAzT0 and discharging atoms aSubsetOf0(all_0_3_3, szNzAzT0), aSet0(szNzAzT0), yields:
% 133.59/82.58 | (269) aSet0(all_0_3_3)
% 133.59/82.58 |
% 133.59/82.58 | Instantiating formula (90) with all_0_1_1, all_0_3_3, all_0_2_2, xm and discharging atoms sdtlpdtrp0(xN, all_0_2_2) = all_0_1_1, sdtlpdtrp0(xN, xm) = all_0_3_3, aElementOf0(all_0_2_2, szNzAzT0), aElementOf0(xm, szNzAzT0), yields:
% 133.59/82.58 | (270) all_0_2_2 = xm | ? [v0] : ? [v1] : ( ~ (v1 = v0) & szmzizndt0(all_0_1_1) = v1 & szmzizndt0(all_0_3_3) = v0)
% 133.59/82.58 |
% 133.59/82.58 | Instantiating formula (90) with all_0_1_1, all_0_0_0, all_0_2_2, xn and discharging atoms sdtlpdtrp0(xN, all_0_2_2) = all_0_1_1, sdtlpdtrp0(xN, xn) = all_0_0_0, aElementOf0(all_0_2_2, szNzAzT0), aElementOf0(xn, szNzAzT0), yields:
% 133.59/82.58 | (271) all_0_2_2 = xn | ? [v0] : ? [v1] : ( ~ (v1 = v0) & szmzizndt0(all_0_0_0) = v0 & szmzizndt0(all_0_1_1) = v1)
% 133.59/82.58 |
% 133.59/82.58 | Instantiating formula (90) with all_0_0_0, all_0_1_1, xn, all_0_2_2 and discharging atoms sdtlpdtrp0(xN, all_0_2_2) = all_0_1_1, sdtlpdtrp0(xN, xn) = all_0_0_0, aElementOf0(all_0_2_2, szNzAzT0), aElementOf0(xn, szNzAzT0), yields:
% 133.59/82.58 | (272) all_0_2_2 = xn | ? [v0] : ? [v1] : ( ~ (v1 = v0) & szmzizndt0(all_0_0_0) = v1 & szmzizndt0(all_0_1_1) = v0)
% 133.59/82.58 |
% 133.59/82.58 | Instantiating formula (90) with xS, all_0_1_1, sz00, all_0_2_2 and discharging atoms sdtlpdtrp0(xN, all_0_2_2) = all_0_1_1, sdtlpdtrp0(xN, sz00) = xS, aElementOf0(all_0_2_2, szNzAzT0), aElementOf0(sz00, szNzAzT0), yields:
% 133.59/82.58 | (273) all_0_2_2 = sz00 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & szmzizndt0(all_0_1_1) = v0 & szmzizndt0(xS) = v1)
% 133.59/82.58 |
% 133.59/82.58 | Instantiating formula (183) with xx, all_32_0_17 and discharging atoms sdtlpdtrp0(xe, all_32_0_17) = xx, aElementOf0(all_32_0_17, szNzAzT0), yields:
% 133.59/82.58 | (274) ? [v0] : (sdtlpdtrp0(xN, all_32_0_17) = v0 & szmzizndt0(v0) = xx)
% 133.59/82.58 |
% 133.59/82.58 | Instantiating formula (83) with all_0_2_2 and discharging atoms aElementOf0(all_0_2_2, szNzAzT0), yields:
% 133.59/82.58 | (275) all_0_2_2 = sz00 | ? [v0] : (szszuzczcdt0(v0) = all_0_2_2 & aElementOf0(v0, szNzAzT0))
% 133.59/82.58 |
% 133.59/82.58 | Instantiating formula (128) with all_0_0_0, slcrc0, sz00 and discharging atoms slbdtrb0(sz00) = slcrc0, aElementOf0(sz00, szNzAzT0), aSet0(all_0_0_0), yields:
% 133.59/82.58 | (276) all_0_0_0 = slcrc0 | ? [v0] : ? [v1] : (( ~ aElementOf0(v0, all_0_0_0) | ~ aElementOf0(v0, szNzAzT0) | (szszuzczcdt0(v0) = v1 & ~ sdtlseqdt0(v1, sz00))) & (aElementOf0(v0, all_0_0_0) | (szszuzczcdt0(v0) = v1 & sdtlseqdt0(v1, sz00) & aElementOf0(v0, szNzAzT0))))
% 133.59/82.58 |
% 133.59/82.58 | Instantiating formula (38) with xx, xP, xQ and discharging atoms aSubsetOf0(xP, xQ), aElementOf0(xx, xP), aSet0(xQ), yields:
% 133.59/82.58 | (277) aElementOf0(xx, xQ)
% 133.59/82.58 |
% 133.59/82.58 | Instantiating formula (80) with all_0_0_0 and discharging atoms aSet0(all_0_0_0), yields:
% 133.59/82.58 | (278) all_0_0_0 = slcrc0 | ? [v0] : aElementOf0(v0, all_0_0_0)
% 133.59/82.58 |
% 133.59/82.58 | Instantiating (267) with all_198_0_57 yields:
% 133.59/82.58 | (279) sbrdtbr0(all_198_0_57) = sz00 & aSubsetOf0(all_198_0_57, slcrc0)
% 133.59/82.58 |
% 133.59/82.58 | Applying alpha-rule on (279) yields:
% 133.59/82.58 | (280) sbrdtbr0(all_198_0_57) = sz00
% 133.59/82.58 | (281) aSubsetOf0(all_198_0_57, slcrc0)
% 133.59/82.58 |
% 133.59/82.58 | Instantiating (274) with all_203_0_64 yields:
% 133.59/82.58 | (282) sdtlpdtrp0(xN, all_32_0_17) = all_203_0_64 & szmzizndt0(all_203_0_64) = xx
% 133.59/82.58 |
% 133.59/82.58 | Applying alpha-rule on (282) yields:
% 133.59/82.58 | (283) sdtlpdtrp0(xN, all_32_0_17) = all_203_0_64
% 133.59/82.58 | (284) szmzizndt0(all_203_0_64) = xx
% 133.59/82.58 |
% 133.59/82.58 +-Applying beta-rule and splitting (275), into two cases.
% 133.59/82.58 |-Branch one:
% 133.59/82.58 | (285) all_0_2_2 = sz00
% 133.59/82.58 |
% 133.59/82.58 | Equations (285) can reduce 206 to:
% 133.59/82.58 | (241) $false
% 133.59/82.58 |
% 133.59/82.58 |-The branch is then unsatisfiable
% 133.59/82.58 |-Branch two:
% 133.59/82.58 | (206) ~ (all_0_2_2 = sz00)
% 133.59/82.58 | (288) ? [v0] : (szszuzczcdt0(v0) = all_0_2_2 & aElementOf0(v0, szNzAzT0))
% 133.59/82.58 |
% 133.59/82.58 | Instantiating (288) with all_243_0_80 yields:
% 133.59/82.58 | (289) szszuzczcdt0(all_243_0_80) = all_0_2_2 & aElementOf0(all_243_0_80, szNzAzT0)
% 133.59/82.59 |
% 133.59/82.59 | Applying alpha-rule on (289) yields:
% 133.59/82.59 | (290) szszuzczcdt0(all_243_0_80) = all_0_2_2
% 133.59/82.59 | (291) aElementOf0(all_243_0_80, szNzAzT0)
% 133.59/82.59 |
% 133.59/82.59 +-Applying beta-rule and splitting (278), into two cases.
% 133.59/82.59 |-Branch one:
% 133.59/82.59 | (292) all_0_0_0 = slcrc0
% 133.59/82.59 |
% 133.59/82.59 | Equations (292) can reduce 261 to:
% 133.59/82.59 | (241) $false
% 133.59/82.59 |
% 133.59/82.59 |-The branch is then unsatisfiable
% 133.59/82.59 |-Branch two:
% 133.59/82.59 | (261) ~ (all_0_0_0 = slcrc0)
% 133.59/82.59 | (295) ? [v0] : aElementOf0(v0, all_0_0_0)
% 133.59/82.59 |
% 133.59/82.59 +-Applying beta-rule and splitting (276), into two cases.
% 133.59/82.59 |-Branch one:
% 133.59/82.59 | (292) all_0_0_0 = slcrc0
% 133.59/82.59 |
% 133.59/82.59 | Equations (292) can reduce 261 to:
% 133.59/82.59 | (241) $false
% 133.59/82.59 |
% 133.59/82.59 |-The branch is then unsatisfiable
% 133.59/82.59 |-Branch two:
% 133.59/82.59 | (261) ~ (all_0_0_0 = slcrc0)
% 133.59/82.59 | (299) ? [v0] : ? [v1] : (( ~ aElementOf0(v0, all_0_0_0) | ~ aElementOf0(v0, szNzAzT0) | (szszuzczcdt0(v0) = v1 & ~ sdtlseqdt0(v1, sz00))) & (aElementOf0(v0, all_0_0_0) | (szszuzczcdt0(v0) = v1 & sdtlseqdt0(v1, sz00) & aElementOf0(v0, szNzAzT0))))
% 133.59/82.59 |
% 133.59/82.59 +-Applying beta-rule and splitting (273), into two cases.
% 133.59/82.59 |-Branch one:
% 133.59/82.59 | (285) all_0_2_2 = sz00
% 133.59/82.59 |
% 133.59/82.59 | Equations (285) can reduce 206 to:
% 133.59/82.59 | (241) $false
% 133.59/82.59 |
% 133.59/82.59 |-The branch is then unsatisfiable
% 133.59/82.59 |-Branch two:
% 133.59/82.59 | (206) ~ (all_0_2_2 = sz00)
% 133.59/82.59 | (303) ? [v0] : ? [v1] : ( ~ (v1 = v0) & szmzizndt0(all_0_1_1) = v0 & szmzizndt0(xS) = v1)
% 133.59/82.59 |
% 133.59/82.59 | Instantiating (303) with all_314_0_100, all_314_1_101 yields:
% 133.59/82.59 | (304) ~ (all_314_0_100 = all_314_1_101) & szmzizndt0(all_0_1_1) = all_314_1_101 & szmzizndt0(xS) = all_314_0_100
% 133.59/82.59 |
% 133.59/82.59 | Applying alpha-rule on (304) yields:
% 133.59/82.59 | (305) ~ (all_314_0_100 = all_314_1_101)
% 133.59/82.59 | (306) szmzizndt0(all_0_1_1) = all_314_1_101
% 133.59/82.59 | (307) szmzizndt0(xS) = all_314_0_100
% 133.59/82.59 |
% 133.59/82.59 +-Applying beta-rule and splitting (265), into two cases.
% 133.59/82.59 |-Branch one:
% 133.59/82.59 | (308) aElementOf0(xp, all_0_0_0)
% 133.59/82.59 |
% 133.59/82.59 | Instantiating formula (144) with xN, xm, all_203_0_64, all_0_3_3 and discharging atoms sdtlpdtrp0(xN, xm) = all_0_3_3, yields:
% 133.59/82.59 | (309) all_203_0_64 = all_0_3_3 | ~ (sdtlpdtrp0(xN, xm) = all_203_0_64)
% 133.59/82.59 |
% 133.59/82.59 | Instantiating formula (43) with all_0_0_0, xx, xp and discharging atoms szmzizndt0(all_0_0_0) = xp, yields:
% 133.59/82.59 | (310) xx = xp | ~ (szmzizndt0(all_0_0_0) = xx)
% 133.59/82.59 |
% 133.59/82.59 | Instantiating formula (43) with all_0_1_1, all_314_1_101, xp and discharging atoms szmzizndt0(all_0_1_1) = all_314_1_101, yields:
% 133.59/82.59 | (311) all_314_1_101 = xp | ~ (szmzizndt0(all_0_1_1) = xp)
% 133.59/82.59 |
% 133.59/82.59 | Instantiating formula (117) with sz00, xQ, all_0_10_10, xK, xS and discharging atoms slbdtsldtrb0(xS, xK) = all_0_10_10, aElementOf0(xQ, all_0_10_10), aElementOf0(xK, szNzAzT0), aSet0(xS), yields:
% 133.59/82.59 | (312) xK = sz00 | ~ (sbrdtbr0(xQ) = sz00)
% 133.59/82.59 |
% 133.59/82.59 | Using (266) and (177) yields:
% 133.59/82.59 | (313) ~ (all_0_1_1 = all_0_3_3)
% 133.59/82.59 |
% 133.59/82.59 | Instantiating formula (48) with all_0_2_2, xn, all_243_0_80 and discharging atoms szszuzczcdt0(all_243_0_80) = all_0_2_2, szszuzczcdt0(xn) = all_0_2_2, aElementOf0(all_243_0_80, szNzAzT0), aElementOf0(xn, szNzAzT0), yields:
% 133.59/82.59 | (314) all_243_0_80 = xn
% 133.59/82.59 |
% 133.59/82.59 | Instantiating formula (26) with xP, xp, xQ and discharging atoms sdtmndt0(xQ, xp) = xP, aElement0(xp), aSet0(xQ), yields:
% 133.59/82.59 | (315) ~ aElementOf0(xp, xP)
% 133.59/82.59 |
% 133.59/82.59 | Instantiating formula (107) with all_0_3_3 and discharging atoms aSet0(all_0_3_3), yields:
% 133.59/82.59 | (316) all_0_3_3 = slcrc0 | ~ (sbrdtbr0(all_0_3_3) = sz00)
% 133.59/82.59 |
% 133.59/82.59 | From (314) and (290) follows:
% 133.59/82.59 | (195) szszuzczcdt0(xn) = all_0_2_2
% 133.59/82.59 |
% 133.59/82.59 +-Applying beta-rule and splitting (312), into two cases.
% 133.59/82.59 |-Branch one:
% 133.59/82.59 | (318) ~ (sbrdtbr0(xQ) = sz00)
% 133.59/82.59 |
% 133.59/82.59 +-Applying beta-rule and splitting (316), into two cases.
% 133.59/82.59 |-Branch one:
% 133.59/82.59 | (319) ~ (sbrdtbr0(all_0_3_3) = sz00)
% 133.59/82.59 |
% 133.59/82.59 | Using (280) and (319) yields:
% 133.59/82.59 | (320) ~ (all_198_0_57 = all_0_3_3)
% 133.59/82.59 |
% 133.59/82.59 | Using (280) and (318) yields:
% 133.59/82.59 | (321) ~ (all_198_0_57 = xQ)
% 133.59/82.59 |
% 133.59/82.59 | Using (181) and (315) yields:
% 133.59/82.59 | (322) ~ (xx = xp)
% 133.59/82.59 |
% 133.59/82.59 +-Applying beta-rule and splitting (200), into two cases.
% 133.59/82.59 |-Branch one:
% 133.59/82.59 | (323) ~ (sdtlpdtrp0(xN, xm) = all_0_1_1)
% 133.59/82.59 |
% 133.59/82.59 | Using (10) and (323) yields:
% 133.59/82.59 | (324) ~ (all_0_2_2 = xm)
% 133.59/82.59 |
% 133.59/82.59 +-Applying beta-rule and splitting (270), into two cases.
% 133.59/82.59 |-Branch one:
% 133.59/82.59 | (325) all_0_2_2 = xm
% 133.59/82.59 |
% 133.59/82.59 | Equations (325) can reduce 324 to:
% 133.59/82.59 | (241) $false
% 133.59/82.59 |
% 133.59/82.59 |-The branch is then unsatisfiable
% 133.59/82.59 |-Branch two:
% 133.59/82.59 | (324) ~ (all_0_2_2 = xm)
% 133.59/82.59 | (328) ? [v0] : ? [v1] : ( ~ (v1 = v0) & szmzizndt0(all_0_1_1) = v1 & szmzizndt0(all_0_3_3) = v0)
% 133.59/82.59 |
% 133.59/82.59 | Instantiating (328) with all_716_0_159, all_716_1_160 yields:
% 133.59/82.59 | (329) ~ (all_716_0_159 = all_716_1_160) & szmzizndt0(all_0_1_1) = all_716_0_159 & szmzizndt0(all_0_3_3) = all_716_1_160
% 133.59/82.59 |
% 133.59/82.59 | Applying alpha-rule on (329) yields:
% 133.59/82.59 | (330) ~ (all_716_0_159 = all_716_1_160)
% 133.59/82.59 | (331) szmzizndt0(all_0_1_1) = all_716_0_159
% 133.59/82.59 | (332) szmzizndt0(all_0_3_3) = all_716_1_160
% 133.59/82.59 |
% 133.59/82.59 | Instantiating formula (43) with all_0_1_1, all_716_0_159, all_314_1_101 and discharging atoms szmzizndt0(all_0_1_1) = all_716_0_159, szmzizndt0(all_0_1_1) = all_314_1_101, yields:
% 133.59/82.59 | (333) all_716_0_159 = all_314_1_101
% 133.59/82.59 |
% 133.59/82.59 | Instantiating formula (43) with all_0_3_3, all_716_1_160, xx and discharging atoms szmzizndt0(all_0_3_3) = all_716_1_160, szmzizndt0(all_0_3_3) = xx, yields:
% 133.59/82.59 | (334) all_716_1_160 = xx
% 133.59/82.59 |
% 133.59/82.59 | From (333) and (331) follows:
% 133.59/82.59 | (306) szmzizndt0(all_0_1_1) = all_314_1_101
% 133.59/82.59 |
% 133.59/82.59 | From (334) and (332) follows:
% 133.59/82.59 | (104) szmzizndt0(all_0_3_3) = xx
% 133.59/82.59 |
% 133.59/82.59 +-Applying beta-rule and splitting (201), into two cases.
% 133.59/82.59 |-Branch one:
% 133.59/82.59 | (337) ~ (sdtlpdtrp0(xN, xn) = all_0_1_1)
% 133.59/82.59 |
% 133.59/82.59 | Using (10) and (337) yields:
% 133.59/82.59 | (338) ~ (all_0_2_2 = xn)
% 133.59/82.59 |
% 133.59/82.59 +-Applying beta-rule and splitting (271), into two cases.
% 133.59/82.59 |-Branch one:
% 133.59/82.59 | (339) all_0_2_2 = xn
% 133.59/82.59 |
% 133.59/82.59 | Equations (339) can reduce 338 to:
% 133.59/82.59 | (241) $false
% 133.59/82.59 |
% 133.59/82.59 |-The branch is then unsatisfiable
% 133.59/82.59 |-Branch two:
% 133.59/82.59 | (338) ~ (all_0_2_2 = xn)
% 133.59/82.59 | (342) ? [v0] : ? [v1] : ( ~ (v1 = v0) & szmzizndt0(all_0_0_0) = v0 & szmzizndt0(all_0_1_1) = v1)
% 133.59/82.59 |
% 133.59/82.59 | Instantiating (342) with all_758_0_161, all_758_1_162 yields:
% 133.59/82.59 | (343) ~ (all_758_0_161 = all_758_1_162) & szmzizndt0(all_0_0_0) = all_758_1_162 & szmzizndt0(all_0_1_1) = all_758_0_161
% 133.59/82.59 |
% 133.59/82.59 | Applying alpha-rule on (343) yields:
% 133.59/82.59 | (344) ~ (all_758_0_161 = all_758_1_162)
% 133.59/82.59 | (345) szmzizndt0(all_0_0_0) = all_758_1_162
% 133.59/82.59 | (346) szmzizndt0(all_0_1_1) = all_758_0_161
% 133.59/82.59 |
% 133.59/82.59 +-Applying beta-rule and splitting (310), into two cases.
% 133.59/82.59 |-Branch one:
% 133.59/82.59 | (347) ~ (szmzizndt0(all_0_0_0) = xx)
% 133.59/82.59 |
% 133.59/82.59 | Instantiating formula (43) with all_0_0_0, all_758_1_162, xp and discharging atoms szmzizndt0(all_0_0_0) = all_758_1_162, szmzizndt0(all_0_0_0) = xp, yields:
% 133.59/82.59 | (348) all_758_1_162 = xp
% 133.59/82.59 |
% 133.59/82.59 | Using (104) and (347) yields:
% 133.59/82.59 | (349) ~ (all_0_0_0 = all_0_3_3)
% 133.59/82.59 |
% 133.59/82.59 | From (348) and (345) follows:
% 133.59/82.59 | (264) szmzizndt0(all_0_0_0) = xp
% 133.59/82.59 |
% 133.59/82.59 +-Applying beta-rule and splitting (202), into two cases.
% 133.59/82.59 |-Branch one:
% 133.59/82.59 | (351) ~ (sdtlpdtrp0(xN, sz00) = all_0_0_0)
% 133.59/82.59 |
% 133.59/82.59 | Using (109) and (351) yields:
% 133.59/82.59 | (352) ~ (xn = sz00)
% 133.59/82.59 |
% 133.59/82.59 +-Applying beta-rule and splitting (235), into two cases.
% 133.59/82.59 |-Branch one:
% 133.59/82.59 | (353) aElementOf0(xn, slcrc0)
% 133.59/82.59 |
% 133.59/82.59 | Using (353) and (203) yields:
% 133.59/82.59 | (245) $false
% 133.59/82.59 |
% 133.59/82.59 |-The branch is then unsatisfiable
% 133.59/82.59 |-Branch two:
% 133.59/82.59 | (203) ~ aElementOf0(xn, slcrc0)
% 133.59/82.59 | (356) xn = sz00 | (slbdtrb0(all_37_1_22) = all_37_0_21 & szszuzczcdt0(sz00) = all_37_1_22 & ~ aElementOf0(xn, all_37_0_21))
% 133.59/82.59 |
% 133.59/82.59 +-Applying beta-rule and splitting (356), into two cases.
% 133.59/82.59 |-Branch one:
% 133.59/82.59 | (357) xn = sz00
% 133.59/82.59 |
% 133.59/82.59 | Equations (357) can reduce 352 to:
% 133.59/82.59 | (241) $false
% 133.59/82.59 |
% 133.59/82.59 |-The branch is then unsatisfiable
% 133.59/82.59 |-Branch two:
% 133.59/82.59 | (352) ~ (xn = sz00)
% 133.59/82.59 | (360) slbdtrb0(all_37_1_22) = all_37_0_21 & szszuzczcdt0(sz00) = all_37_1_22 & ~ aElementOf0(xn, all_37_0_21)
% 133.59/82.59 |
% 133.59/82.59 +-Applying beta-rule and splitting (217), into two cases.
% 133.59/82.59 |-Branch one:
% 133.59/82.59 | (357) xn = sz00
% 133.59/82.59 |
% 133.59/82.59 | Equations (357) can reduce 352 to:
% 133.59/82.59 | (241) $false
% 133.59/82.59 |
% 133.59/82.59 |-The branch is then unsatisfiable
% 133.59/82.59 |-Branch two:
% 133.59/82.59 | (352) ~ (xn = sz00)
% 133.59/82.59 | (364) ? [v0] : ? [v1] : ( ~ (v1 = v0) & szmzizndt0(all_0_0_0) = v1 & szmzizndt0(xS) = v0)
% 133.59/82.59 |
% 133.59/82.59 | Instantiating (364) with all_881_0_170, all_881_1_171 yields:
% 133.59/82.59 | (365) ~ (all_881_0_170 = all_881_1_171) & szmzizndt0(all_0_0_0) = all_881_0_170 & szmzizndt0(xS) = all_881_1_171
% 133.59/82.59 |
% 133.59/82.59 | Applying alpha-rule on (365) yields:
% 133.59/82.59 | (366) ~ (all_881_0_170 = all_881_1_171)
% 133.59/82.59 | (367) szmzizndt0(all_0_0_0) = all_881_0_170
% 133.59/82.60 | (368) szmzizndt0(xS) = all_881_1_171
% 133.59/82.60 |
% 133.59/82.60 | Instantiating formula (43) with all_0_0_0, all_881_0_170, xp and discharging atoms szmzizndt0(all_0_0_0) = all_881_0_170, szmzizndt0(all_0_0_0) = xp, yields:
% 133.59/82.60 | (369) all_881_0_170 = xp
% 133.59/82.60 |
% 133.59/82.60 | Using (367) and (347) yields:
% 133.59/82.60 | (370) ~ (all_881_0_170 = xx)
% 133.59/82.60 |
% 133.59/82.60 | Equations (369) can reduce 370 to:
% 133.59/82.60 | (371) ~ (xx = xp)
% 133.59/82.60 |
% 133.59/82.60 | Simplifying 371 yields:
% 133.59/82.60 | (322) ~ (xx = xp)
% 133.59/82.60 |
% 133.59/82.60 | Instantiating formula (90) with all_0_3_3, all_203_0_64, xm, all_32_0_17 and discharging atoms sdtlpdtrp0(xN, all_32_0_17) = all_203_0_64, sdtlpdtrp0(xN, xm) = all_0_3_3, aElementOf0(all_32_0_17, szNzAzT0), aElementOf0(xm, szNzAzT0), yields:
% 133.59/82.60 | (373) all_32_0_17 = xm | ? [v0] : ? [v1] : ( ~ (v1 = v0) & szmzizndt0(all_203_0_64) = v0 & szmzizndt0(all_0_3_3) = v1)
% 133.59/82.60 |
% 133.59/82.60 | Instantiating formula (186) with all_203_0_64, all_32_0_17 and discharging atoms sdtlpdtrp0(xN, all_32_0_17) = all_203_0_64, aElementOf0(all_32_0_17, szNzAzT0), yields:
% 133.68/82.60 | (374) aSubsetOf0(all_203_0_64, szNzAzT0)
% 133.68/82.60 |
% 133.68/82.60 | Instantiating formula (168) with all_198_0_57, slcrc0 and discharging atoms aSubsetOf0(all_198_0_57, slcrc0), aSet0(slcrc0), yields:
% 133.68/82.60 | (375) aSet0(all_198_0_57)
% 133.68/82.60 |
% 133.68/82.60 | Instantiating formula (38) with xp, all_0_0_0, all_0_3_3 and discharging atoms aSubsetOf0(all_0_0_0, all_0_3_3), aElementOf0(xp, all_0_0_0), aSet0(all_0_3_3), yields:
% 133.68/82.60 | (376) aElementOf0(xp, all_0_3_3)
% 133.68/82.60 |
% 133.68/82.60 +-Applying beta-rule and splitting (373), into two cases.
% 133.68/82.60 |-Branch one:
% 133.68/82.60 | (377) all_32_0_17 = xm
% 133.68/82.60 |
% 133.68/82.60 | From (377) and (283) follows:
% 133.68/82.60 | (378) sdtlpdtrp0(xN, xm) = all_203_0_64
% 133.68/82.60 |
% 133.68/82.60 +-Applying beta-rule and splitting (309), into two cases.
% 133.68/82.60 |-Branch one:
% 133.68/82.60 | (379) ~ (sdtlpdtrp0(xN, xm) = all_203_0_64)
% 133.68/82.60 |
% 133.68/82.60 | Using (378) and (379) yields:
% 133.68/82.60 | (245) $false
% 133.68/82.60 |
% 133.68/82.60 |-The branch is then unsatisfiable
% 133.68/82.60 |-Branch two:
% 133.68/82.60 | (378) sdtlpdtrp0(xN, xm) = all_203_0_64
% 133.68/82.60 | (382) all_203_0_64 = all_0_3_3
% 133.68/82.60 |
% 133.68/82.60 | From (382) and (284) follows:
% 133.68/82.60 | (104) szmzizndt0(all_0_3_3) = xx
% 133.68/82.60 |
% 133.68/82.60 | From (382) and (374) follows:
% 133.68/82.60 | (208) aSubsetOf0(all_0_3_3, szNzAzT0)
% 133.68/82.60 |
% 133.68/82.60 | Instantiating formula (198) with xx, xp, all_0_3_3, xQ and discharging atoms szmzizndt0(all_0_3_3) = xx, szmzizndt0(xQ) = xp, aSubsetOf0(all_0_3_3, szNzAzT0), aSubsetOf0(xQ, szNzAzT0), aElementOf0(xx, xQ), aElementOf0(xp, all_0_3_3), yields:
% 133.68/82.60 | (385) all_0_3_3 = slcrc0 | xx = xp | xQ = slcrc0
% 133.68/82.60 |
% 133.68/82.60 | Instantiating formula (107) with all_198_0_57 and discharging atoms sbrdtbr0(all_198_0_57) = sz00, aSet0(all_198_0_57), yields:
% 133.68/82.60 | (386) all_198_0_57 = slcrc0
% 133.68/82.60 |
% 133.68/82.60 | Equations (386) can reduce 320 to:
% 133.68/82.60 | (387) ~ (all_0_3_3 = slcrc0)
% 133.68/82.60 |
% 133.68/82.60 | Simplifying 387 yields:
% 133.68/82.60 | (262) ~ (all_0_3_3 = slcrc0)
% 133.68/82.60 |
% 133.68/82.60 | Equations (386) can reduce 321 to:
% 133.68/82.60 | (389) ~ (xQ = slcrc0)
% 133.68/82.60 |
% 133.68/82.60 | Simplifying 389 yields:
% 133.68/82.60 | (55) ~ (xQ = slcrc0)
% 133.68/82.60 |
% 133.68/82.60 +-Applying beta-rule and splitting (385), into two cases.
% 133.68/82.60 |-Branch one:
% 133.68/82.60 | (391) all_0_3_3 = slcrc0
% 133.68/82.60 |
% 133.68/82.60 | Equations (391) can reduce 262 to:
% 133.68/82.60 | (241) $false
% 133.68/82.60 |
% 133.68/82.60 |-The branch is then unsatisfiable
% 133.68/82.60 |-Branch two:
% 133.68/82.60 | (262) ~ (all_0_3_3 = slcrc0)
% 133.68/82.60 | (394) xx = xp | xQ = slcrc0
% 133.68/82.60 |
% 133.68/82.60 +-Applying beta-rule and splitting (394), into two cases.
% 133.68/82.60 |-Branch one:
% 133.68/82.60 | (395) xQ = slcrc0
% 133.68/82.60 |
% 133.68/82.60 | Equations (395) can reduce 55 to:
% 133.68/82.60 | (241) $false
% 133.68/82.60 |
% 133.68/82.60 |-The branch is then unsatisfiable
% 133.68/82.60 |-Branch two:
% 133.68/82.60 | (55) ~ (xQ = slcrc0)
% 133.68/82.60 | (398) xx = xp
% 133.68/82.60 |
% 133.68/82.60 | Equations (398) can reduce 322 to:
% 133.68/82.60 | (241) $false
% 133.68/82.60 |
% 133.68/82.60 |-The branch is then unsatisfiable
% 133.68/82.60 |-Branch two:
% 133.68/82.60 | (400) ~ (all_32_0_17 = xm)
% 133.68/82.60 | (401) ? [v0] : ? [v1] : ( ~ (v1 = v0) & szmzizndt0(all_203_0_64) = v0 & szmzizndt0(all_0_3_3) = v1)
% 133.68/82.60 |
% 133.68/82.60 | Instantiating (401) with all_2651_0_681, all_2651_1_682 yields:
% 133.68/82.60 | (402) ~ (all_2651_0_681 = all_2651_1_682) & szmzizndt0(all_203_0_64) = all_2651_1_682 & szmzizndt0(all_0_3_3) = all_2651_0_681
% 133.68/82.60 |
% 133.68/82.60 | Applying alpha-rule on (402) yields:
% 133.68/82.60 | (403) ~ (all_2651_0_681 = all_2651_1_682)
% 133.68/82.60 | (404) szmzizndt0(all_203_0_64) = all_2651_1_682
% 133.68/82.60 | (405) szmzizndt0(all_0_3_3) = all_2651_0_681
% 133.68/82.60 |
% 133.68/82.60 | Instantiating formula (43) with all_203_0_64, all_2651_1_682, xx and discharging atoms szmzizndt0(all_203_0_64) = all_2651_1_682, szmzizndt0(all_203_0_64) = xx, yields:
% 133.68/82.60 | (406) all_2651_1_682 = xx
% 133.68/82.60 |
% 133.68/82.60 | Instantiating formula (43) with all_0_3_3, all_2651_0_681, xx and discharging atoms szmzizndt0(all_0_3_3) = all_2651_0_681, szmzizndt0(all_0_3_3) = xx, yields:
% 133.68/82.60 | (407) all_2651_0_681 = xx
% 133.68/82.60 |
% 133.68/82.60 | Equations (407,406) can reduce 403 to:
% 133.68/82.60 | (241) $false
% 133.68/82.60 |
% 133.68/82.60 |-The branch is then unsatisfiable
% 133.68/82.60 |-Branch two:
% 133.68/82.60 | (409) sdtlpdtrp0(xN, sz00) = all_0_0_0
% 133.68/82.60 | (410) all_0_0_0 = xS
% 133.68/82.60 |
% 133.68/82.60 | Equations (410) can reduce 349 to:
% 133.68/82.60 | (411) ~ (all_0_3_3 = xS)
% 133.68/82.60 |
% 133.68/82.60 | Simplifying 411 yields:
% 133.68/82.60 | (412) ~ (all_0_3_3 = xS)
% 133.68/82.60 |
% 133.68/82.60 | From (410) and (28) follows:
% 133.68/82.60 | (413) aSubsetOf0(xS, all_0_3_3)
% 133.68/82.60 |
% 133.68/82.60 | From (410) and (259) follows:
% 133.68/82.60 | (223) aSet0(xS)
% 133.68/82.60 |
% 133.68/82.60 | Instantiating formula (74) with all_0_3_3, xS and discharging atoms aSubsetOf0(all_0_3_3, xS), aSubsetOf0(xS, all_0_3_3), aSet0(all_0_3_3), aSet0(xS), yields:
% 133.68/82.60 | (415) all_0_3_3 = xS
% 133.68/82.60 |
% 133.68/82.60 | Equations (415) can reduce 412 to:
% 133.68/82.60 | (241) $false
% 133.68/82.60 |
% 133.68/82.60 |-The branch is then unsatisfiable
% 133.68/82.60 |-Branch two:
% 133.68/82.60 | (417) szmzizndt0(all_0_0_0) = xx
% 133.68/82.60 | (398) xx = xp
% 133.68/82.60 |
% 133.68/82.60 | Equations (398) can reduce 322 to:
% 133.68/82.60 | (241) $false
% 133.68/82.60 |
% 133.68/82.60 |-The branch is then unsatisfiable
% 133.68/82.60 |-Branch two:
% 133.68/82.60 | (420) sdtlpdtrp0(xN, xn) = all_0_1_1
% 133.68/82.60 | (421) all_0_0_0 = all_0_1_1
% 133.68/82.60 |
% 133.68/82.60 | From (421) and (264) follows:
% 133.68/82.60 | (422) szmzizndt0(all_0_1_1) = xp
% 133.68/82.60 |
% 133.68/82.60 +-Applying beta-rule and splitting (311), into two cases.
% 133.68/82.60 |-Branch one:
% 133.68/82.60 | (423) ~ (szmzizndt0(all_0_1_1) = xp)
% 133.68/82.60 |
% 133.68/82.60 | Using (422) and (423) yields:
% 133.68/82.60 | (245) $false
% 133.68/82.60 |
% 133.68/82.60 |-The branch is then unsatisfiable
% 133.68/82.60 |-Branch two:
% 133.68/82.60 | (422) szmzizndt0(all_0_1_1) = xp
% 133.68/82.60 | (426) all_314_1_101 = xp
% 133.68/82.60 |
% 133.68/82.60 | From (426) and (306) follows:
% 133.68/82.60 | (422) szmzizndt0(all_0_1_1) = xp
% 133.68/82.60 |
% 133.68/82.60 +-Applying beta-rule and splitting (272), into two cases.
% 133.68/82.60 |-Branch one:
% 133.68/82.60 | (339) all_0_2_2 = xn
% 133.68/82.60 |
% 133.68/82.60 | From (339) and (195) follows:
% 133.68/82.60 | (429) szszuzczcdt0(xn) = xn
% 133.68/82.60 |
% 133.68/82.60 | From (339) and (213) follows:
% 133.68/82.60 | (51) aElementOf0(xn, szNzAzT0)
% 133.68/82.60 |
% 133.68/82.60 | Instantiating formula (41) with xn and discharging atoms szszuzczcdt0(xn) = xn, aElementOf0(xn, szNzAzT0), yields:
% 133.68/82.60 | (245) $false
% 133.68/82.60 |
% 133.68/82.60 |-The branch is then unsatisfiable
% 133.68/82.60 |-Branch two:
% 133.68/82.60 | (338) ~ (all_0_2_2 = xn)
% 133.68/82.60 | (433) ? [v0] : ? [v1] : ( ~ (v1 = v0) & szmzizndt0(all_0_0_0) = v1 & szmzizndt0(all_0_1_1) = v0)
% 133.68/82.60 |
% 133.68/82.60 | Instantiating (433) with all_765_0_719, all_765_1_720 yields:
% 133.68/82.60 | (434) ~ (all_765_0_719 = all_765_1_720) & szmzizndt0(all_0_0_0) = all_765_0_719 & szmzizndt0(all_0_1_1) = all_765_1_720
% 133.68/82.60 |
% 133.68/82.60 | Applying alpha-rule on (434) yields:
% 133.68/82.60 | (435) ~ (all_765_0_719 = all_765_1_720)
% 133.68/82.60 | (436) szmzizndt0(all_0_0_0) = all_765_0_719
% 133.68/82.60 | (437) szmzizndt0(all_0_1_1) = all_765_1_720
% 133.68/82.60 |
% 133.68/82.60 | From (421) and (436) follows:
% 133.68/82.60 | (438) szmzizndt0(all_0_1_1) = all_765_0_719
% 133.68/82.60 |
% 133.68/82.60 +-Applying beta-rule and splitting (271), into two cases.
% 133.68/82.60 |-Branch one:
% 133.68/82.60 | (339) all_0_2_2 = xn
% 133.68/82.61 |
% 133.68/82.61 | Equations (339) can reduce 338 to:
% 133.68/82.61 | (241) $false
% 133.68/82.61 |
% 133.68/82.61 |-The branch is then unsatisfiable
% 133.68/82.61 |-Branch two:
% 133.68/82.61 | (338) ~ (all_0_2_2 = xn)
% 133.68/82.61 | (342) ? [v0] : ? [v1] : ( ~ (v1 = v0) & szmzizndt0(all_0_0_0) = v0 & szmzizndt0(all_0_1_1) = v1)
% 133.68/82.61 |
% 133.68/82.61 | Instantiating (342) with all_771_0_721, all_771_1_722 yields:
% 133.68/82.61 | (443) ~ (all_771_0_721 = all_771_1_722) & szmzizndt0(all_0_0_0) = all_771_1_722 & szmzizndt0(all_0_1_1) = all_771_0_721
% 133.68/82.61 |
% 133.68/82.61 | Applying alpha-rule on (443) yields:
% 133.68/82.61 | (444) ~ (all_771_0_721 = all_771_1_722)
% 133.68/82.61 | (445) szmzizndt0(all_0_0_0) = all_771_1_722
% 133.68/82.61 | (446) szmzizndt0(all_0_1_1) = all_771_0_721
% 133.68/82.61 |
% 133.68/82.61 | From (421) and (445) follows:
% 133.68/82.61 | (447) szmzizndt0(all_0_1_1) = all_771_1_722
% 133.68/82.61 |
% 133.68/82.61 | Instantiating formula (43) with all_0_1_1, all_771_1_722, xp and discharging atoms szmzizndt0(all_0_1_1) = all_771_1_722, szmzizndt0(all_0_1_1) = xp, yields:
% 133.68/82.61 | (448) all_771_1_722 = xp
% 133.68/82.61 |
% 133.68/82.61 | Instantiating formula (43) with all_0_1_1, all_771_1_722, all_771_0_721 and discharging atoms szmzizndt0(all_0_1_1) = all_771_0_721, szmzizndt0(all_0_1_1) = all_771_1_722, yields:
% 133.68/82.61 | (449) all_771_0_721 = all_771_1_722
% 133.68/82.61 |
% 133.68/82.61 | Instantiating formula (43) with all_0_1_1, all_765_0_719, all_771_1_722 and discharging atoms szmzizndt0(all_0_1_1) = all_771_1_722, szmzizndt0(all_0_1_1) = all_765_0_719, yields:
% 133.68/82.61 | (450) all_771_1_722 = all_765_0_719
% 133.68/82.61 |
% 133.68/82.61 | Instantiating formula (43) with all_0_1_1, all_765_1_720, all_771_0_721 and discharging atoms szmzizndt0(all_0_1_1) = all_771_0_721, szmzizndt0(all_0_1_1) = all_765_1_720, yields:
% 133.68/82.61 | (451) all_771_0_721 = all_765_1_720
% 133.68/82.61 |
% 133.68/82.61 | Combining equations (449,451) yields a new equation:
% 133.68/82.61 | (452) all_771_1_722 = all_765_1_720
% 133.68/82.61 |
% 133.68/82.61 | Simplifying 452 yields:
% 133.68/82.61 | (453) all_771_1_722 = all_765_1_720
% 133.68/82.61 |
% 133.68/82.61 | Combining equations (448,450) yields a new equation:
% 133.68/82.61 | (454) all_765_0_719 = xp
% 133.68/82.61 |
% 133.68/82.61 | Combining equations (453,450) yields a new equation:
% 133.68/82.61 | (455) all_765_0_719 = all_765_1_720
% 133.68/82.61 |
% 133.68/82.61 | Combining equations (454,455) yields a new equation:
% 133.68/82.61 | (456) all_765_1_720 = xp
% 133.68/82.61 |
% 133.68/82.61 | Combining equations (456,455) yields a new equation:
% 133.68/82.61 | (454) all_765_0_719 = xp
% 133.68/82.61 |
% 133.68/82.61 | Equations (454,456) can reduce 435 to:
% 133.68/82.61 | (241) $false
% 133.68/82.61 |
% 133.68/82.61 |-The branch is then unsatisfiable
% 133.68/82.61 |-Branch two:
% 133.68/82.61 | (459) sdtlpdtrp0(xN, xm) = all_0_1_1
% 133.68/82.61 | (460) all_0_1_1 = all_0_3_3
% 133.68/82.61 |
% 133.68/82.61 | Equations (460) can reduce 313 to:
% 133.68/82.61 | (241) $false
% 133.68/82.61 |
% 133.68/82.61 |-The branch is then unsatisfiable
% 133.68/82.61 |-Branch two:
% 133.68/82.61 | (462) sbrdtbr0(all_0_3_3) = sz00
% 133.68/82.61 | (391) all_0_3_3 = slcrc0
% 133.68/82.61 |
% 133.68/82.61 | Equations (391) can reduce 262 to:
% 133.68/82.61 | (241) $false
% 133.68/82.61 |
% 133.68/82.61 |-The branch is then unsatisfiable
% 133.68/82.61 |-Branch two:
% 133.68/82.61 | (465) sbrdtbr0(xQ) = sz00
% 133.68/82.61 | (240) xK = sz00
% 133.68/82.61 |
% 133.68/82.61 | Equations (240) can reduce 59 to:
% 133.68/82.61 | (241) $false
% 133.68/82.61 |
% 133.68/82.61 |-The branch is then unsatisfiable
% 133.68/82.61 |-Branch two:
% 133.68/82.61 | (468) ~ aElementOf0(xp, all_0_0_0)
% 133.68/82.61 | (292) all_0_0_0 = slcrc0
% 133.68/82.61 |
% 133.68/82.61 | Equations (292) can reduce 261 to:
% 133.68/82.61 | (241) $false
% 133.68/82.61 |
% 133.68/82.61 |-The branch is then unsatisfiable
% 133.68/82.61 % SZS output end Proof for theBenchmark
% 133.68/82.61
% 133.68/82.61 82001ms
%------------------------------------------------------------------------------