%------------------------------------------------------------------------------
% File     : ePrincess---1.0
% Problem  : COM132+1 : TPTP v8.1.0. Released v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : ePrincess-casc -timeout=%d %s

% Computer : n013.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 : Fri Jul 15 01:08:14 EDT 2022

% Result   : Theorem 40.57s 12.32s
% Output   : Proof 47.95s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : COM132+1 : TPTP v8.1.0. Released v6.4.0.
% 0.07/0.13  % Command  : ePrincess-casc -timeout=%d %s
% 0.13/0.34  % Computer : n013.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Thu Jun 16 19:43:29 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.46/0.60          ____       _                          
% 0.46/0.60    ___  / __ \_____(_)___  ________  __________
% 0.46/0.60   / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.46/0.60  /  __/ ____/ /  / / / / / /__/  __(__  |__  ) 
% 0.46/0.60  \___/_/   /_/  /_/_/ /_/\___/\___/____/____/  
% 0.46/0.60  
% 0.46/0.60  A Theorem Prover for First-Order Logic
% 0.46/0.60  (ePrincess v.1.0)
% 0.46/0.60  
% 0.46/0.60  (c) Philipp Rümmer, 2009-2015
% 0.46/0.60  (c) Peter Backeman, 2014-2015
% 0.46/0.60  (contributions by Angelo Brillout, Peter Baumgartner)
% 0.46/0.60  Free software under GNU Lesser General Public License (LGPL).
% 0.46/0.60  Bug reports to peter@backeman.se
% 0.46/0.60  
% 0.46/0.60  For more information, visit http://user.uu.se/~petba168/breu/
% 0.46/0.60  
% 0.46/0.60  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.71/0.65  Prover 0: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.38/1.11  Prover 0: Preprocessing ...
% 4.51/1.65  Prover 0: Warning: ignoring some quantifiers
% 4.51/1.69  Prover 0: Constructing countermodel ...
% 21.47/5.94  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 21.96/6.01  Prover 1: Preprocessing ...
% 22.86/6.21  Prover 1: Constructing countermodel ...
% 30.79/8.54  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 31.40/8.64  Prover 2: Preprocessing ...
% 32.08/8.83  Prover 2: Warning: ignoring some quantifiers
% 32.08/8.84  Prover 2: Constructing countermodel ...
% 38.57/11.56  Prover 0: stopped
% 38.82/11.76  Prover 3: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 38.98/11.83  Prover 3: Preprocessing ...
% 39.02/11.89  Prover 3: Warning: ignoring some quantifiers
% 39.02/11.90  Prover 3: Constructing countermodel ...
% 40.57/12.32  Prover 3: proved (560ms)
% 40.57/12.32  Prover 1: stopped
% 40.57/12.32  Prover 2: stopped
% 40.57/12.32  
% 40.57/12.32  No countermodel exists, formula is valid
% 40.57/12.32  % SZS status Theorem for theBenchmark
% 40.57/12.32  
% 40.57/12.32  Generating proof ... Warning: ignoring some quantifiers
% 46.93/13.86  found it (size 163)
% 46.93/13.86  
% 46.93/13.86  % SZS output start Proof for theBenchmark
% 46.93/13.86  Assumed formulas after preprocessing and simplification: 
% 46.93/13.86  | (0)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : ( ~ (v4 = v2) & vsubst(v2, v3, v8) = v9 & vbind(v2, v0, v1) = v7 & vabs(v4, v5, veabs) = v8 & vtcheck(v7, v8, v6) & vtcheck(v1, v3, v0) & visFreeVar(v4, v3) &  ~ visSomeExp(vnoExp) &  ~ vtcheck(v1, v9, v6) &  ~ visSomeType(vnoType) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] :  ! [v20] :  ! [v21] : (v21 = v13 | v15 = v10 |  ~ (vsubst(v15, v18, v17) = v19) |  ~ (vsubst(v10, v11, v20) = v21) |  ~ (vsubst(v10, v11, v12) = v13) |  ~ (vabs(v16, v14, v19) = v20) |  ~ (vvar(v16) = v18) |  ~ visFreeVar(v15, v11) |  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] : (( ~ (v25 = v16) & vgensym(v24) = v25 & vapp(v22, v23) = v24 & vapp(v11, v17) = v22 & vvar(v10) = v23) | ( ~ (v22 = v12) & vabs(v15, v14, v17) = v22))) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] :  ! [v20] : (v14 = v12 |  ~ (vsubst(v12, v13, v19) = v20) |  ~ (vbind(v12, v10, v11) = v18) |  ~ (vabs(v14, v15, v16) = v19) |  ~ vtcheck(v18, v19, v17) |  ~ vtcheck(v11, v13, v10) | vtcheck(v11, v20, v17) | visFreeVar(v14, v13)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] : ( ~ (vreduce(v11) = v12) |  ~ (vgetSomeExp(v16) = v18) |  ~ (vapp(v17, v18) = v19) |  ~ (vapp(v17, v10) = v11) |  ~ (vabs(v13, v14, v15) = v17) |  ~ visSomeExp(v16) |  ? [v20] : ((v20 = v12 & vsomeExp(v19) = v12) | ( ~ (v20 = v16) & vreduce(v10) = v20))) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] : (v18 = v13 | v14 = v10 |  ~ (vsubst(v10, v11, v16) = v17) |  ~ (vsubst(v10, v11, v12) = v13) |  ~ (vabs(v14, v15, v17) = v18) | visFreeVar(v14, v11) |  ? [v19] : ( ~ (v19 = v12) & vabs(v14, v15, v16) = v19)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] : (v18 = v13 |  ~ (vsubst(v10, v11, v15) = v17) |  ~ (vsubst(v10, v11, v14) = v16) |  ~ (vsubst(v10, v11, v12) = v13) |  ~ (vapp(v16, v17) = v18) |  ? [v19] : ( ~ (v19 = v12) & vapp(v14, v15) = v19)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : ( ~ (varrow(v13, v14) = v17) |  ~ (vbind(v11, v13, v10) = v15) |  ~ (vabs(v11, v13, v12) = v16) |  ~ vtcheck(v15, v12, v14) | vtcheck(v10, v16, v17)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : ( ~ (vbind(v10, v12, v16) = v17) |  ~ (vbind(v10, v11, v13) = v16) |  ~ vtcheck(v17, v14, v15) |  ? [v18] : (vbind(v10, v12, v13) = v18 & vtcheck(v18, v14, v15))) &  ? [v10] :  ? [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] : (v14 = v12 |  ~ (vbind(v14, v15, v16) = v17) |  ~ (vbind(v12, v13, v17) = v18) | vtcheck(v18, v10, v11) |  ? [v19] :  ? [v20] : (vbind(v14, v15, v19) = v20 & vbind(v12, v13, v16) = v19 &  ~ vtcheck(v20, v10, v11))) &  ? [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : (v16 = vnoExp |  ~ (vreduce(v15) = v16) |  ~ (vapp(v17, v14) = v15) |  ~ (vabs(v11, v12, v13) = v17) | visSomeExp(v10) | visValue(v14) |  ? [v18] : ( ~ (v18 = v10) & vreduce(v14) = v18)) &  ? [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : ( ~ (vreduce(v12) = v13) |  ~ (vapp(v17, v15) = v12) |  ~ (vabs(v14, v11, v16) = v17) |  ~ visValue(v15) | visSomeExp(v10) |  ? [v18] :  ? [v19] : ((v19 = v13 & vsomeExp(v18) = v13 & vsubst(v14, v15, v16) = v18) | ( ~ (v18 = v10) & vreduce(v15) = v18))) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] : (v16 = v14 | v12 = v11 |  ~ (vlookup(v12, v15) = v16) |  ~ (vlookup(v12, v13) = v14) |  ~ (vbind(v11, v10, v15) = v13)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] : (v15 = v12 |  ~ (vbind(v13, v14, v15) = v16) |  ~ (vbind(v10, v11, v12) = v16)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] : (v15 = v12 |  ~ (vabs(v13, v14, v15) = v16) |  ~ (vabs(v10, v11, v12) = v16)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] : (v14 = v11 |  ~ (vbind(v13, v14, v15) = v16) |  ~ (vbind(v10, v11, v12) = v16)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] : (v14 = v11 |  ~ (vabs(v13, v14, v15) = v16) |  ~ (vabs(v10, v11, v12) = v16)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] : (v13 = v10 |  ~ (vbind(v13, v14, v15) = v16) |  ~ (vbind(v10, v11, v12) = v16)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] : (v13 = v10 |  ~ (vabs(v13, v14, v15) = v16) |  ~ (vabs(v10, v11, v12) = v16)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] : ( ~ (varrow(v10, v14) = v15) |  ~ (vapp(v12, v13) = v16) |  ~ vtcheck(v11, v13, v10) |  ~ vtcheck(v11, v12, v15) | vtcheck(v11, v16, v14)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] : ( ~ (vreduce(v11) = v12) |  ~ (vreduce(v10) = v13) |  ~ (vgetSomeExp(v13) = v15) |  ~ (vapp(v15, v14) = v16) |  ~ visSomeExp(v13) |  ? [v17] :  ? [v18] :  ? [v19] :  ? [v20] : ((v20 = v10 & vabs(v17, v18, v19) = v10) | (v17 = v12 & vsomeExp(v16) = v12) | ( ~ (v17 = v11) & vapp(v10, v14) = v17))) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] : ( ~ (vsubst(v11, v14, v13) = v15) |  ~ (vabs(v12, v10, v15) = v16) |  ~ (vvar(v12) = v14) | visFreeVar(v12, v13) |  ? [v17] : (vabs(v11, v10, v13) = v17 & valphaEquivalent(v17, v16))) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] : ( ~ (vapp(v14, v15) = v16) |  ~ (vapp(v10, v13) = v14) |  ~ (vvar(v11) = v15) |  ~ visFreeVar(v12, v13) |  ? [v17] : ( ~ (v17 = v12) & vgensym(v16) = v17)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] : (v13 = v12 |  ~ (vsubst(v11, v10, v12) = v13) |  ~ (vabs(v11, v14, v15) = v12)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] : ( ~ (vbind(v10, v11, v12) = v15) |  ~ vtcheck(v15, v13, v14) | vtcheck(v12, v13, v14) | visFreeVar(v10, v13)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] : ( ~ (vbind(v10, v11, v12) = v15) |  ~ vtcheck(v12, v13, v14) | vtcheck(v15, v13, v14) | visFreeVar(v10, v13)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] : ( ~ (vbind(v10, v11, v12) = v15) |  ~ vtcheck(v12, v13, v14) | vtcheck(v15, v13, v14) |  ? [v16] : ( ~ (v16 = vnoType) & vlookup(v10, v12) = v16)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] : ( ~ (vapp(v13, v14) = v15) |  ~ (vapp(v10, v11) = v13) |  ~ (vvar(v12) = v14) |  ? [v16] : ( ~ (v16 = v12) & vgensym(v15) = v16)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] : ( ~ (vapp(v13, v14) = v15) |  ~ (vabs(v10, v11, v12) = v15)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : (v14 = v13 |  ~ (vbind(v10, v11, v12) = v14) |  ~ (vbind(v10, v11, v12) = v13)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : (v14 = v13 |  ~ (vabs(v10, v11, v12) = v14) |  ~ (vabs(v10, v11, v12) = v13)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : (v14 = v11 | v13 = v12 |  ~ (vsubst(v11, v10, v12) = v13) |  ~ (vvar(v14) = v12)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : (v14 = vnoExp |  ~ (vreduce(v13) = v14) |  ~ (vabs(v10, v11, v12) = v13)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : (v13 = v11 |  ~ (varrow(v12, v13) = v14) |  ~ (varrow(v10, v11) = v14)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : (v13 = v11 |  ~ (vapp(v12, v13) = v14) |  ~ (vapp(v10, v11) = v14)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : (v13 = v11 |  ~ (vabs(v13, v10, v14) = v12) |  ~ visFreeVar(v11, v14) | visFreeVar(v11, v12)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : (v12 = v10 |  ~ (varrow(v12, v13) = v14) |  ~ (varrow(v10, v11) = v14)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : (v12 = v10 |  ~ (vapp(v12, v13) = v14) |  ~ (vapp(v10, v11) = v14)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : (v11 = v10 |  ~ (vsubst(v14, v13, v12) = v11) |  ~ (vsubst(v14, v13, v12) = v10)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : (v11 = v10 |  ~ (vbind(v14, v13, v12) = v11) |  ~ (vbind(v14, v13, v12) = v10)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : (v11 = v10 |  ~ (vabs(v14, v13, v12) = v11) |  ~ (vabs(v14, v13, v12) = v10)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (vlookup(v11, v12) = v13) |  ~ (vbind(v11, v14, v10) = v12) | vsomeType(v14) = v13) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (vabs(v13, v10, v14) = v12) |  ~ visFreeVar(v11, v12) | visFreeVar(v11, v14)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (vabs(v11, v12, v13) = v14) |  ~ (vvar(v10) = v14)) &  ? [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : (v14 = vnoExp |  ~ (vreduce(v13) = v14) |  ~ (vapp(v12, v11) = v13) | visSomeExp(v10) |  ? [v15] :  ? [v16] :  ? [v17] :  ? [v18] : ((v18 = v12 & vabs(v15, v16, v17) = v12) | ( ~ (v15 = v10) & vreduce(v12) = v15))) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v13 = v12 |  ~ (varrow(v10, v11) = v13) |  ~ (varrow(v10, v11) = v12)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v13 = v12 |  ~ (vapp(v10, v11) = v13) |  ~ (vapp(v10, v11) = v12)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v13 = v11 |  ~ (vsubst(v10, v11, v12) = v13) |  ~ (vvar(v10) = v12)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v11 = v10 |  ~ (varrow(v13, v12) = v11) |  ~ (varrow(v13, v12) = v10)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v11 = v10 |  ~ (vlookup(v13, v12) = v11) |  ~ (vlookup(v13, v12) = v10)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v11 = v10 |  ~ (vapp(v13, v12) = v11) |  ~ (vapp(v13, v12) = v10)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (vsubst(v10, v11, v12) = v13) |  ? [v14] :  ? [v15] :  ? [v16] :  ? [v17] :  ? [v18] :  ? [v19] :  ? [v20] :  ? [v21] :  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] : ((v28 = v13 & v24 = v18 & v20 = v12 & v15 = v11 & v14 = v10 &  ~ (v17 = v10) & vsubst(v17, v25, v19) = v26 & vsubst(v10, v11, v27) = v13 & vgensym(v23) = v18 & vapp(v21, v22) = v23 & vapp(v11, v19) = v21 & vabs(v18, v16, v26) = v27 & vabs(v17, v16, v19) = v12 & vvar(v18) = v25 & vvar(v10) = v22 & visFreeVar(v17, v11)) | (v21 = v13 & v19 = v12 & v17 = v11 & v16 = v10 &  ~ (v14 = v10) & vsubst(v10, v11, v18) = v20 & vabs(v14, v15, v20) = v13 & vabs(v14, v15, v18) = v12 &  ~ visFreeVar(v14, v11)) | (v21 = v13 & v18 = v12 & v16 = v11 & v15 = v10 & vsubst(v10, v11, v17) = v20 & vsubst(v10, v11, v14) = v19 & vapp(v19, v20) = v13 & vapp(v14, v17) = v12) | (v19 = v12 & v16 = v10 & v15 = v10 & v14 = v11 & v13 = v12 & vabs(v10, v17, v18) = v12) | (v17 = v12 & v16 = v11 & v15 = v10 & v14 = v10 & v13 = v11 & vvar(v10) = v12) | (v17 = v12 & v15 = v10 & v14 = v11 & v13 = v12 &  ~ (v16 = v10) & vvar(v16) = v12))) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (vlookup(v11, v10) = v13) |  ~ (vsomeType(v12) = v13) |  ? [v14] : (vvar(v11) = v14 & vtcheck(v10, v14, v12))) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (vsomeType(v11) = v13) |  ~ vtcheck(v12, v10, v11) |  ? [v14] :  ? [v15] :  ? [v16] :  ? [v17] :  ? [v18] :  ? [v19] :  ? [v20] : ((v19 = v11 & v18 = v10 & varrow(v16, v17) = v11 & vbind(v14, v16, v12) = v20 & vabs(v14, v16, v15) = v10 & vtcheck(v20, v15, v17)) | (v17 = v10 & varrow(v16, v11) = v18 & vapp(v14, v15) = v10 & vtcheck(v12, v15, v16) & vtcheck(v12, v14, v18)) | (v16 = v13 & v15 = v10 & vlookup(v14, v12) = v13 & vvar(v14) = v10))) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (vapp(v12, v13) = v11) |  ~ visFreeVar(v10, v13) | visFreeVar(v10, v11)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (vapp(v12, v13) = v11) |  ~ visFreeVar(v10, v12) | visFreeVar(v10, v11)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (vapp(v12, v13) = v11) |  ~ visFreeVar(v10, v11) | visFreeVar(v10, v13) | visFreeVar(v10, v12)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (vapp(v11, v12) = v13) |  ~ (vvar(v10) = v13)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (vabs(v11, v10, v13) = v12) |  ~ visFreeVar(v11, v12)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (vabs(v10, v11, v12) = v13) | visValue(v13)) &  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ valphaEquivalent(v10, v12) |  ~ vtcheck(v11, v10, v13) | vtcheck(v11, v12, v13)) &  ! [v10] :  ! [v11] :  ! [v12] : (v12 = v11 |  ~ (vgetSomeExp(v10) = v11) |  ~ (vsomeExp(v12) = v10)) &  ! [v10] :  ! [v11] :  ! [v12] : (v12 = v11 |  ~ (vsomeExp(v10) = v12) |  ~ (vsomeExp(v10) = v11)) &  ! [v10] :  ! [v11] :  ! [v12] : (v12 = v11 |  ~ (vgetSomeType(v10) = v11) |  ~ (vsomeType(v12) = v10)) &  ! [v10] :  ! [v11] :  ! [v12] : (v12 = v11 |  ~ (vsomeType(v10) = v12) |  ~ (vsomeType(v10) = v11)) &  ! [v10] :  ! [v11] :  ! [v12] : (v12 = v11 |  ~ (vvar(v10) = v12) |  ~ (vvar(v10) = v11)) &  ! [v10] :  ! [v11] :  ! [v12] : (v12 = v10 |  ~ (vvar(v12) = v11) |  ~ visFreeVar(v10, v11)) &  ! [v10] :  ! [v11] :  ! [v12] : (v12 = vnoExp |  ~ (vreduce(v11) = v12) |  ~ (vvar(v10) = v11)) &  ! [v10] :  ! [v11] :  ! [v12] : (v12 = vnoType |  ~ (vlookup(v10, v11) = v12) |  ? [v13] :  ? [v14] :  ? [v15] :  ? [v16] :  ? [v17] :  ? [v18] : ((v18 = v12 & v17 = v11 & v15 = v10 & v14 = v10 & vsomeType(v16) = v12 & vbind(v10, v16, v13) = v11) | (v18 = v12 & v17 = v11 & v15 = v10 &  ~ (v14 = v10) & vlookup(v10, v16) = v12 & vbind(v14, v13, v16) = v11))) &  ! [v10] :  ! [v11] :  ! [v12] : (v11 = v10 |  ~ (vreduce(v12) = v11) |  ~ (vreduce(v12) = v10)) &  ! [v10] :  ! [v11] :  ! [v12] : (v11 = v10 |  ~ (vgetSomeExp(v12) = v11) |  ~ (vgetSomeExp(v12) = v10)) &  ! [v10] :  ! [v11] :  ! [v12] : (v11 = v10 |  ~ (vsomeExp(v12) = v11) |  ~ (vsomeExp(v12) = v10)) &  ! [v10] :  ! [v11] :  ! [v12] : (v11 = v10 |  ~ (vsomeExp(v11) = v12) |  ~ (vsomeExp(v10) = v12)) &  ! [v10] :  ! [v11] :  ! [v12] : (v11 = v10 |  ~ (vgensym(v12) = v11) |  ~ (vgensym(v12) = v10)) &  ! [v10] :  ! [v11] :  ! [v12] : (v11 = v10 |  ~ (vgetSomeType(v12) = v11) |  ~ (vgetSomeType(v12) = v10)) &  ! [v10] :  ! [v11] :  ! [v12] : (v11 = v10 |  ~ (vsomeType(v12) = v11) |  ~ (vsomeType(v12) = v10)) &  ! [v10] :  ! [v11] :  ! [v12] : (v11 = v10 |  ~ (vsomeType(v11) = v12) |  ~ (vsomeType(v10) = v12)) &  ! [v10] :  ! [v11] :  ! [v12] : (v11 = v10 |  ~ (vvar(v12) = v11) |  ~ (vvar(v12) = v10)) &  ! [v10] :  ! [v11] :  ! [v12] : (v11 = v10 |  ~ (vvar(v11) = v12) |  ~ (vvar(v10) = v12)) &  ! [v10] :  ! [v11] :  ! [v12] : (v11 = vempty |  ~ (vlookup(v10, v11) = v12) |  ? [v13] :  ? [v14] :  ? [v15] :  ? [v16] :  ? [v17] :  ? [v18] : ((v18 = v12 & v17 = v11 & v15 = v10 & v14 = v10 & vsomeType(v16) = v12 & vbind(v10, v16, v13) = v11) | (v18 = v12 & v17 = v11 & v15 = v10 &  ~ (v14 = v10) & vlookup(v10, v16) = v12 & vbind(v14, v13, v16) = v11))) &  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (vlookup(v10, v11) = v12) |  ? [v13] :  ? [v14] :  ? [v15] :  ? [v16] :  ? [v17] :  ? [v18] : (v13 = v10 | (v18 = v12 & v17 = v11 & v15 = v10 & v14 = v10 & vsomeType(v16) = v12 & vbind(v10, v16, v13) = v11) | (v18 = v12 & v17 = v11 & v15 = v10 &  ~ (v14 = v10) & vlookup(v10, v16) = v12 & vbind(v14, v13, v16) = v11))) &  ! [v10] :  ! [v11] :  ! [v12] :  ~ (vbind(v10, v11, v12) = vempty) &  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (vapp(v10, v11) = v12) |  ~ visValue(v12)) &  ! [v10] :  ! [v11] :  ! [v12] : ( ~ valphaEquivalent(v11, v10) |  ~ valphaEquivalent(v10, v12) | valphaEquivalent(v11, v12)) &  ! [v10] :  ! [v11] :  ! [v12] : ( ~ valphaEquivalent(v10, v12) |  ~ visFreeVar(v11, v12) | visFreeVar(v11, v10)) &  ! [v10] :  ! [v11] : (v11 = vnoType |  ~ (vlookup(v10, vempty) = v11)) &  ! [v10] :  ! [v11] : ( ~ (vreduce(v10) = v11) |  ? [v12] :  ? [v13] :  ? [v14] :  ? [v15] :  ? [v16] :  ? [v17] :  ? [v18] :  ? [v19] :  ? [v20] :  ? [v21] :  ? [v22] : ((v22 = v11 & v19 = v16 & v18 = v10 & vreduce(v12) = v16 & vgetSomeExp(v16) = v20 & vsomeExp(v21) = v11 & vapp(v17, v20) = v21 & vapp(v17, v12) = v10 & vabs(v13, v14, v15) = v17 & visSomeExp(v16)) | (v21 = v11 & v19 = v13 & v18 = v10 & vreduce(v15) = v13 & vsomeExp(v20) = v11 & vsubst(v14, v15, v16) = v20 & vapp(v17, v15) = v10 & vabs(v14, v12, v16) = v17 & visValue(v15) &  ~ visSomeExp(v13)) | (v19 = v15 & v18 = v10 & v11 = vnoExp & vreduce(v16) = v15 & vapp(v17, v16) = v10 & vabs(v12, v13, v14) = v17 &  ~ visSomeExp(v15) &  ~ visValue(v16)) | (v19 = v11 & v16 = v13 & v15 = v10 & vreduce(v12) = v13 & vgetSomeExp(v13) = v17 & vsomeExp(v18) = v11 & vapp(v17, v14) = v18 & vapp(v12, v14) = v10 & visSomeExp(v13) &  ! [v23] :  ! [v24] :  ! [v25] :  ~ (vabs(v23, v24, v25) = v12)) | (v16 = v14 & v15 = v10 & v11 = vnoExp & vreduce(v13) = v14 & vapp(v13, v12) = v10 &  ~ visSomeExp(v14) &  ! [v23] :  ! [v24] :  ! [v25] :  ~ (vabs(v23, v24, v25) = v13)) | (v15 = v10 & v11 = vnoExp & vabs(v12, v13, v14) = v10) | (v13 = v10 & v11 = vnoExp & vvar(v12) = v10))) &  ! [v10] :  ! [v11] : ( ~ (vsomeExp(v10) = v11) | visSomeExp(v11)) &  ! [v10] :  ! [v11] : ( ~ (vgensym(v11) = v10) |  ~ visFreeVar(v10, v11)) &  ! [v10] :  ! [v11] : ( ~ (vsomeType(v10) = v11) | visSomeType(v11)) &  ! [v10] :  ! [v11] : ( ~ (vvar(v10) = v11) |  ~ visValue(v11)) &  ! [v10] :  ! [v11] : ( ~ (vvar(v10) = v11) | visFreeVar(v10, v11)) &  ! [v10] :  ! [v11] : ( ~ valphaEquivalent(v11, v10) | valphaEquivalent(v10, v11)) &  ! [v10] :  ~ (vsomeExp(v10) = vnoExp) &  ! [v10] :  ~ (vsomeType(v10) = vnoType) &  ? [v10] : valphaEquivalent(v10, v10))
% 47.46/13.94  | 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 yields:
% 47.46/13.94  | (1)  ~ (all_0_5_5 = all_0_7_7) & vsubst(all_0_7_7, all_0_6_6, all_0_1_1) = all_0_0_0 & vbind(all_0_7_7, all_0_9_9, all_0_8_8) = all_0_2_2 & vabs(all_0_5_5, all_0_4_4, veabs) = all_0_1_1 & vtcheck(all_0_2_2, all_0_1_1, all_0_3_3) & vtcheck(all_0_8_8, all_0_6_6, all_0_9_9) & visFreeVar(all_0_5_5, all_0_6_6) &  ~ visSomeExp(vnoExp) &  ~ vtcheck(all_0_8_8, all_0_0_0, all_0_3_3) &  ~ visSomeType(vnoType) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : (v11 = v3 | v5 = v0 |  ~ (vsubst(v5, v8, v7) = v9) |  ~ (vsubst(v0, v1, v10) = v11) |  ~ (vsubst(v0, v1, v2) = v3) |  ~ (vabs(v6, v4, v9) = v10) |  ~ (vvar(v6) = v8) |  ~ visFreeVar(v5, v1) |  ? [v12] :  ? [v13] :  ? [v14] :  ? [v15] : (( ~ (v15 = v6) & vgensym(v14) = v15 & vapp(v12, v13) = v14 & vapp(v1, v7) = v12 & vvar(v0) = v13) | ( ~ (v12 = v2) & vabs(v5, v4, v7) = v12))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v4 = v2 |  ~ (vsubst(v2, v3, v9) = v10) |  ~ (vbind(v2, v0, v1) = v8) |  ~ (vabs(v4, v5, v6) = v9) |  ~ vtcheck(v8, v9, v7) |  ~ vtcheck(v1, v3, v0) | vtcheck(v1, v10, v7) | visFreeVar(v4, v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] : ( ~ (vreduce(v1) = v2) |  ~ (vgetSomeExp(v6) = v8) |  ~ (vapp(v7, v8) = v9) |  ~ (vapp(v7, v0) = v1) |  ~ (vabs(v3, v4, v5) = v7) |  ~ visSomeExp(v6) |  ? [v10] : ((v10 = v2 & vsomeExp(v9) = v2) | ( ~ (v10 = v6) & vreduce(v0) = v10))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] : (v8 = v3 | v4 = v0 |  ~ (vsubst(v0, v1, v6) = v7) |  ~ (vsubst(v0, v1, v2) = v3) |  ~ (vabs(v4, v5, v7) = v8) | visFreeVar(v4, v1) |  ? [v9] : ( ~ (v9 = v2) & vabs(v4, v5, v6) = v9)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] : (v8 = v3 |  ~ (vsubst(v0, v1, v5) = v7) |  ~ (vsubst(v0, v1, v4) = v6) |  ~ (vsubst(v0, v1, v2) = v3) |  ~ (vapp(v6, v7) = v8) |  ? [v9] : ( ~ (v9 = v2) & vapp(v4, v5) = v9)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (varrow(v3, v4) = v7) |  ~ (vbind(v1, v3, v0) = v5) |  ~ (vabs(v1, v3, v2) = v6) |  ~ vtcheck(v5, v2, v4) | vtcheck(v0, v6, v7)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (vbind(v0, v2, v6) = v7) |  ~ (vbind(v0, v1, v3) = v6) |  ~ vtcheck(v7, v4, v5) |  ? [v8] : (vbind(v0, v2, v3) = v8 & vtcheck(v8, v4, v5))) &  ? [v0] :  ? [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] : (v4 = v2 |  ~ (vbind(v4, v5, v6) = v7) |  ~ (vbind(v2, v3, v7) = v8) | vtcheck(v8, v0, v1) |  ? [v9] :  ? [v10] : (vbind(v4, v5, v9) = v10 & vbind(v2, v3, v6) = v9 &  ~ vtcheck(v10, v0, v1))) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : (v6 = vnoExp |  ~ (vreduce(v5) = v6) |  ~ (vapp(v7, v4) = v5) |  ~ (vabs(v1, v2, v3) = v7) | visSomeExp(v0) | visValue(v4) |  ? [v8] : ( ~ (v8 = v0) & vreduce(v4) = v8)) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (vreduce(v2) = v3) |  ~ (vapp(v7, v5) = v2) |  ~ (vabs(v4, v1, v6) = v7) |  ~ visValue(v5) | visSomeExp(v0) |  ? [v8] :  ? [v9] : ((v9 = v3 & vsomeExp(v8) = v3 & vsubst(v4, v5, v6) = v8) | ( ~ (v8 = v0) & vreduce(v5) = v8))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v6 = v4 | v2 = v1 |  ~ (vlookup(v2, v5) = v6) |  ~ (vlookup(v2, v3) = v4) |  ~ (vbind(v1, v0, v5) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v5 = v2 |  ~ (vbind(v3, v4, v5) = v6) |  ~ (vbind(v0, v1, v2) = v6)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v5 = v2 |  ~ (vabs(v3, v4, v5) = v6) |  ~ (vabs(v0, v1, v2) = v6)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v4 = v1 |  ~ (vbind(v3, v4, v5) = v6) |  ~ (vbind(v0, v1, v2) = v6)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v4 = v1 |  ~ (vabs(v3, v4, v5) = v6) |  ~ (vabs(v0, v1, v2) = v6)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v3 = v0 |  ~ (vbind(v3, v4, v5) = v6) |  ~ (vbind(v0, v1, v2) = v6)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v3 = v0 |  ~ (vabs(v3, v4, v5) = v6) |  ~ (vabs(v0, v1, v2) = v6)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (varrow(v0, v4) = v5) |  ~ (vapp(v2, v3) = v6) |  ~ vtcheck(v1, v3, v0) |  ~ vtcheck(v1, v2, v5) | vtcheck(v1, v6, v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (vreduce(v1) = v2) |  ~ (vreduce(v0) = v3) |  ~ (vgetSomeExp(v3) = v5) |  ~ (vapp(v5, v4) = v6) |  ~ visSomeExp(v3) |  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] : ((v10 = v0 & vabs(v7, v8, v9) = v0) | (v7 = v2 & vsomeExp(v6) = v2) | ( ~ (v7 = v1) & vapp(v0, v4) = v7))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (vsubst(v1, v4, v3) = v5) |  ~ (vabs(v2, v0, v5) = v6) |  ~ (vvar(v2) = v4) | visFreeVar(v2, v3) |  ? [v7] : (vabs(v1, v0, v3) = v7 & valphaEquivalent(v7, v6))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (vapp(v4, v5) = v6) |  ~ (vapp(v0, v3) = v4) |  ~ (vvar(v1) = v5) |  ~ visFreeVar(v2, v3) |  ? [v7] : ( ~ (v7 = v2) & vgensym(v6) = v7)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v3 = v2 |  ~ (vsubst(v1, v0, v2) = v3) |  ~ (vabs(v1, v4, v5) = v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (vbind(v0, v1, v2) = v5) |  ~ vtcheck(v5, v3, v4) | vtcheck(v2, v3, v4) | visFreeVar(v0, v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (vbind(v0, v1, v2) = v5) |  ~ vtcheck(v2, v3, v4) | vtcheck(v5, v3, v4) | visFreeVar(v0, v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (vbind(v0, v1, v2) = v5) |  ~ vtcheck(v2, v3, v4) | vtcheck(v5, v3, v4) |  ? [v6] : ( ~ (v6 = vnoType) & vlookup(v0, v2) = v6)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (vapp(v3, v4) = v5) |  ~ (vapp(v0, v1) = v3) |  ~ (vvar(v2) = v4) |  ? [v6] : ( ~ (v6 = v2) & vgensym(v5) = v6)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (vapp(v3, v4) = v5) |  ~ (vabs(v0, v1, v2) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = v3 |  ~ (vbind(v0, v1, v2) = v4) |  ~ (vbind(v0, v1, v2) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = v3 |  ~ (vabs(v0, v1, v2) = v4) |  ~ (vabs(v0, v1, v2) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = v1 | v3 = v2 |  ~ (vsubst(v1, v0, v2) = v3) |  ~ (vvar(v4) = v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = vnoExp |  ~ (vreduce(v3) = v4) |  ~ (vabs(v0, v1, v2) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v3 = v1 |  ~ (varrow(v2, v3) = v4) |  ~ (varrow(v0, v1) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v3 = v1 |  ~ (vapp(v2, v3) = v4) |  ~ (vapp(v0, v1) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v3 = v1 |  ~ (vabs(v3, v0, v4) = v2) |  ~ visFreeVar(v1, v4) | visFreeVar(v1, v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v2 = v0 |  ~ (varrow(v2, v3) = v4) |  ~ (varrow(v0, v1) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v2 = v0 |  ~ (vapp(v2, v3) = v4) |  ~ (vapp(v0, v1) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (vsubst(v4, v3, v2) = v1) |  ~ (vsubst(v4, v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (vbind(v4, v3, v2) = v1) |  ~ (vbind(v4, v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (vabs(v4, v3, v2) = v1) |  ~ (vabs(v4, v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (vlookup(v1, v2) = v3) |  ~ (vbind(v1, v4, v0) = v2) | vsomeType(v4) = v3) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (vabs(v3, v0, v4) = v2) |  ~ visFreeVar(v1, v2) | visFreeVar(v1, v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (vabs(v1, v2, v3) = v4) |  ~ (vvar(v0) = v4)) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = vnoExp |  ~ (vreduce(v3) = v4) |  ~ (vapp(v2, v1) = v3) | visSomeExp(v0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : ((v8 = v2 & vabs(v5, v6, v7) = v2) | ( ~ (v5 = v0) & vreduce(v2) = v5))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v2 |  ~ (varrow(v0, v1) = v3) |  ~ (varrow(v0, v1) = v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v2 |  ~ (vapp(v0, v1) = v3) |  ~ (vapp(v0, v1) = v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 |  ~ (vsubst(v0, v1, v2) = v3) |  ~ (vvar(v0) = v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (varrow(v3, v2) = v1) |  ~ (varrow(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (vlookup(v3, v2) = v1) |  ~ (vlookup(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (vapp(v3, v2) = v1) |  ~ (vapp(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (vsubst(v0, v1, v2) = v3) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] :  ? [v15] :  ? [v16] :  ? [v17] :  ? [v18] : ((v18 = v3 & v14 = v8 & v10 = v2 & v5 = v1 & v4 = v0 &  ~ (v7 = v0) & vsubst(v7, v15, v9) = v16 & vsubst(v0, v1, v17) = v3 & vgensym(v13) = v8 & vapp(v11, v12) = v13 & vapp(v1, v9) = v11 & vabs(v8, v6, v16) = v17 & vabs(v7, v6, v9) = v2 & vvar(v8) = v15 & vvar(v0) = v12 & visFreeVar(v7, v1)) | (v11 = v3 & v9 = v2 & v7 = v1 & v6 = v0 &  ~ (v4 = v0) & vsubst(v0, v1, v8) = v10 & vabs(v4, v5, v10) = v3 & vabs(v4, v5, v8) = v2 &  ~ visFreeVar(v4, v1)) | (v11 = v3 & v8 = v2 & v6 = v1 & v5 = v0 & vsubst(v0, v1, v7) = v10 & vsubst(v0, v1, v4) = v9 & vapp(v9, v10) = v3 & vapp(v4, v7) = v2) | (v9 = v2 & v6 = v0 & v5 = v0 & v4 = v1 & v3 = v2 & vabs(v0, v7, v8) = v2) | (v7 = v2 & v6 = v1 & v5 = v0 & v4 = v0 & v3 = v1 & vvar(v0) = v2) | (v7 = v2 & v5 = v0 & v4 = v1 & v3 = v2 &  ~ (v6 = v0) & vvar(v6) = v2))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (vlookup(v1, v0) = v3) |  ~ (vsomeType(v2) = v3) |  ? [v4] : (vvar(v1) = v4 & vtcheck(v0, v4, v2))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (vsomeType(v1) = v3) |  ~ vtcheck(v2, v0, v1) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] : ((v9 = v1 & v8 = v0 & varrow(v6, v7) = v1 & vbind(v4, v6, v2) = v10 & vabs(v4, v6, v5) = v0 & vtcheck(v10, v5, v7)) | (v7 = v0 & varrow(v6, v1) = v8 & vapp(v4, v5) = v0 & vtcheck(v2, v5, v6) & vtcheck(v2, v4, v8)) | (v6 = v3 & v5 = v0 & vlookup(v4, v2) = v3 & vvar(v4) = v0))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (vapp(v2, v3) = v1) |  ~ visFreeVar(v0, v3) | visFreeVar(v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (vapp(v2, v3) = v1) |  ~ visFreeVar(v0, v2) | visFreeVar(v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (vapp(v2, v3) = v1) |  ~ visFreeVar(v0, v1) | visFreeVar(v0, v3) | visFreeVar(v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (vapp(v1, v2) = v3) |  ~ (vvar(v0) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (vabs(v1, v0, v3) = v2) |  ~ visFreeVar(v1, v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (vabs(v0, v1, v2) = v3) | visValue(v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ valphaEquivalent(v0, v2) |  ~ vtcheck(v1, v0, v3) | vtcheck(v1, v2, v3)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (vgetSomeExp(v0) = v1) |  ~ (vsomeExp(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (vsomeExp(v0) = v2) |  ~ (vsomeExp(v0) = v1)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (vgetSomeType(v0) = v1) |  ~ (vsomeType(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (vsomeType(v0) = v2) |  ~ (vsomeType(v0) = v1)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (vvar(v0) = v2) |  ~ (vvar(v0) = v1)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (vvar(v2) = v1) |  ~ visFreeVar(v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = vnoExp |  ~ (vreduce(v1) = v2) |  ~ (vvar(v0) = v1)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = vnoType |  ~ (vlookup(v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : ((v8 = v2 & v7 = v1 & v5 = v0 & v4 = v0 & vsomeType(v6) = v2 & vbind(v0, v6, v3) = v1) | (v8 = v2 & v7 = v1 & v5 = v0 &  ~ (v4 = v0) & vlookup(v0, v6) = v2 & vbind(v4, v3, v6) = v1))) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (vreduce(v2) = v1) |  ~ (vreduce(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (vgetSomeExp(v2) = v1) |  ~ (vgetSomeExp(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (vsomeExp(v2) = v1) |  ~ (vsomeExp(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (vsomeExp(v1) = v2) |  ~ (vsomeExp(v0) = v2)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (vgensym(v2) = v1) |  ~ (vgensym(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (vgetSomeType(v2) = v1) |  ~ (vgetSomeType(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (vsomeType(v2) = v1) |  ~ (vsomeType(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (vsomeType(v1) = v2) |  ~ (vsomeType(v0) = v2)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (vvar(v2) = v1) |  ~ (vvar(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (vvar(v1) = v2) |  ~ (vvar(v0) = v2)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = vempty |  ~ (vlookup(v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : ((v8 = v2 & v7 = v1 & v5 = v0 & v4 = v0 & vsomeType(v6) = v2 & vbind(v0, v6, v3) = v1) | (v8 = v2 & v7 = v1 & v5 = v0 &  ~ (v4 = v0) & vlookup(v0, v6) = v2 & vbind(v4, v3, v6) = v1))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (vlookup(v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (v3 = v0 | (v8 = v2 & v7 = v1 & v5 = v0 & v4 = v0 & vsomeType(v6) = v2 & vbind(v0, v6, v3) = v1) | (v8 = v2 & v7 = v1 & v5 = v0 &  ~ (v4 = v0) & vlookup(v0, v6) = v2 & vbind(v4, v3, v6) = v1))) &  ! [v0] :  ! [v1] :  ! [v2] :  ~ (vbind(v0, v1, v2) = vempty) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (vapp(v0, v1) = v2) |  ~ visValue(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ valphaEquivalent(v1, v0) |  ~ valphaEquivalent(v0, v2) | valphaEquivalent(v1, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ valphaEquivalent(v0, v2) |  ~ visFreeVar(v1, v2) | visFreeVar(v1, v0)) &  ! [v0] :  ! [v1] : (v1 = vnoType |  ~ (vlookup(v0, vempty) = v1)) &  ! [v0] :  ! [v1] : ( ~ (vreduce(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] : ((v12 = v1 & v9 = v6 & v8 = v0 & vreduce(v2) = v6 & vgetSomeExp(v6) = v10 & vsomeExp(v11) = v1 & vapp(v7, v10) = v11 & vapp(v7, v2) = v0 & vabs(v3, v4, v5) = v7 & visSomeExp(v6)) | (v11 = v1 & v9 = v3 & v8 = v0 & vreduce(v5) = v3 & vsomeExp(v10) = v1 & vsubst(v4, v5, v6) = v10 & vapp(v7, v5) = v0 & vabs(v4, v2, v6) = v7 & visValue(v5) &  ~ visSomeExp(v3)) | (v9 = v5 & v8 = v0 & v1 = vnoExp & vreduce(v6) = v5 & vapp(v7, v6) = v0 & vabs(v2, v3, v4) = v7 &  ~ visSomeExp(v5) &  ~ visValue(v6)) | (v9 = v1 & v6 = v3 & v5 = v0 & vreduce(v2) = v3 & vgetSomeExp(v3) = v7 & vsomeExp(v8) = v1 & vapp(v7, v4) = v8 & vapp(v2, v4) = v0 & visSomeExp(v3) &  ! [v13] :  ! [v14] :  ! [v15] :  ~ (vabs(v13, v14, v15) = v2)) | (v6 = v4 & v5 = v0 & v1 = vnoExp & vreduce(v3) = v4 & vapp(v3, v2) = v0 &  ~ visSomeExp(v4) &  ! [v13] :  ! [v14] :  ! [v15] :  ~ (vabs(v13, v14, v15) = v3)) | (v5 = v0 & v1 = vnoExp & vabs(v2, v3, v4) = v0) | (v3 = v0 & v1 = vnoExp & vvar(v2) = v0))) &  ! [v0] :  ! [v1] : ( ~ (vsomeExp(v0) = v1) | visSomeExp(v1)) &  ! [v0] :  ! [v1] : ( ~ (vgensym(v1) = v0) |  ~ visFreeVar(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ (vsomeType(v0) = v1) | visSomeType(v1)) &  ! [v0] :  ! [v1] : ( ~ (vvar(v0) = v1) |  ~ visValue(v1)) &  ! [v0] :  ! [v1] : ( ~ (vvar(v0) = v1) | visFreeVar(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ valphaEquivalent(v1, v0) | valphaEquivalent(v0, v1)) &  ! [v0] :  ~ (vsomeExp(v0) = vnoExp) &  ! [v0] :  ~ (vsomeType(v0) = vnoType) &  ? [v0] : valphaEquivalent(v0, v0)
% 47.46/13.97  |
% 47.46/13.97  | Applying alpha-rule on (1) yields:
% 47.46/13.97  | (2)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (vapp(v2, v3) = v1) |  ~ visFreeVar(v0, v2) | visFreeVar(v0, v1))
% 47.46/13.97  | (3)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] : ( ~ (vreduce(v1) = v2) |  ~ (vgetSomeExp(v6) = v8) |  ~ (vapp(v7, v8) = v9) |  ~ (vapp(v7, v0) = v1) |  ~ (vabs(v3, v4, v5) = v7) |  ~ visSomeExp(v6) |  ? [v10] : ((v10 = v2 & vsomeExp(v9) = v2) | ( ~ (v10 = v6) & vreduce(v0) = v10)))
% 47.46/13.97  | (4)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (vbind(v0, v1, v2) = v5) |  ~ vtcheck(v2, v3, v4) | vtcheck(v5, v3, v4) | visFreeVar(v0, v3))
% 47.46/13.97  | (5)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (vsubst(v4, v3, v2) = v1) |  ~ (vsubst(v4, v3, v2) = v0))
% 47.46/13.97  | (6)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v4 = v1 |  ~ (vabs(v3, v4, v5) = v6) |  ~ (vabs(v0, v1, v2) = v6))
% 47.46/13.97  | (7)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (vlookup(v3, v2) = v1) |  ~ (vlookup(v3, v2) = v0))
% 47.46/13.97  | (8)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (vreduce(v2) = v1) |  ~ (vreduce(v2) = v0))
% 47.46/13.97  | (9)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v2 |  ~ (varrow(v0, v1) = v3) |  ~ (varrow(v0, v1) = v2))
% 47.46/13.97  | (10)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (vlookup(v1, v0) = v3) |  ~ (vsomeType(v2) = v3) |  ? [v4] : (vvar(v1) = v4 & vtcheck(v0, v4, v2)))
% 47.46/13.97  | (11) vsubst(all_0_7_7, all_0_6_6, all_0_1_1) = all_0_0_0
% 47.46/13.97  | (12)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v4 = v2 |  ~ (vsubst(v2, v3, v9) = v10) |  ~ (vbind(v2, v0, v1) = v8) |  ~ (vabs(v4, v5, v6) = v9) |  ~ vtcheck(v8, v9, v7) |  ~ vtcheck(v1, v3, v0) | vtcheck(v1, v10, v7) | visFreeVar(v4, v3))
% 47.46/13.97  | (13)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (vabs(v1, v2, v3) = v4) |  ~ (vvar(v0) = v4))
% 47.46/13.97  | (14)  ~ visSomeExp(vnoExp)
% 47.46/13.97  | (15)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (vlookup(v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (v3 = v0 | (v8 = v2 & v7 = v1 & v5 = v0 & v4 = v0 & vsomeType(v6) = v2 & vbind(v0, v6, v3) = v1) | (v8 = v2 & v7 = v1 & v5 = v0 &  ~ (v4 = v0) & vlookup(v0, v6) = v2 & vbind(v4, v3, v6) = v1)))
% 47.46/13.97  | (16) vtcheck(all_0_8_8, all_0_6_6, all_0_9_9)
% 47.46/13.97  | (17)  ! [v0] :  ! [v1] : ( ~ (vsomeExp(v0) = v1) | visSomeExp(v1))
% 47.46/13.97  | (18)  ~ visSomeType(vnoType)
% 47.46/13.97  | (19)  ! [v0] :  ! [v1] : ( ~ valphaEquivalent(v1, v0) | valphaEquivalent(v0, v1))
% 47.46/13.97  | (20)  ? [v0] : valphaEquivalent(v0, v0)
% 47.46/13.97  | (21)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ valphaEquivalent(v0, v2) |  ~ visFreeVar(v1, v2) | visFreeVar(v1, v0))
% 47.46/13.97  | (22)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (vabs(v4, v3, v2) = v1) |  ~ (vabs(v4, v3, v2) = v0))
% 47.46/13.97  | (23) vabs(all_0_5_5, all_0_4_4, veabs) = all_0_1_1
% 47.46/13.97  | (24)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v2 |  ~ (vapp(v0, v1) = v3) |  ~ (vapp(v0, v1) = v2))
% 47.46/13.97  | (25)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (vlookup(v1, v2) = v3) |  ~ (vbind(v1, v4, v0) = v2) | vsomeType(v4) = v3)
% 47.46/13.97  | (26)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] : (v8 = v3 | v4 = v0 |  ~ (vsubst(v0, v1, v6) = v7) |  ~ (vsubst(v0, v1, v2) = v3) |  ~ (vabs(v4, v5, v7) = v8) | visFreeVar(v4, v1) |  ? [v9] : ( ~ (v9 = v2) & vabs(v4, v5, v6) = v9))
% 47.46/13.97  | (27)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (vvar(v1) = v2) |  ~ (vvar(v0) = v2))
% 47.46/13.97  | (28)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (vapp(v0, v1) = v2) |  ~ visValue(v2))
% 47.46/13.97  | (29)  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = vnoExp |  ~ (vreduce(v3) = v4) |  ~ (vapp(v2, v1) = v3) | visSomeExp(v0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : ((v8 = v2 & vabs(v5, v6, v7) = v2) | ( ~ (v5 = v0) & vreduce(v2) = v5)))
% 47.46/13.97  | (30) visFreeVar(all_0_5_5, all_0_6_6)
% 47.46/13.97  | (31)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = vnoType |  ~ (vlookup(v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : ((v8 = v2 & v7 = v1 & v5 = v0 & v4 = v0 & vsomeType(v6) = v2 & vbind(v0, v6, v3) = v1) | (v8 = v2 & v7 = v1 & v5 = v0 &  ~ (v4 = v0) & vlookup(v0, v6) = v2 & vbind(v4, v3, v6) = v1)))
% 47.46/13.98  | (32)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (vvar(v2) = v1) |  ~ visFreeVar(v0, v1))
% 47.46/13.98  | (33)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (vsomeExp(v0) = v2) |  ~ (vsomeExp(v0) = v1))
% 47.46/13.98  | (34)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (vgetSomeType(v0) = v1) |  ~ (vsomeType(v2) = v0))
% 47.46/13.98  | (35)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = v1 | v3 = v2 |  ~ (vsubst(v1, v0, v2) = v3) |  ~ (vvar(v4) = v2))
% 47.46/13.98  | (36)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (vbind(v0, v1, v2) = v5) |  ~ vtcheck(v5, v3, v4) | vtcheck(v2, v3, v4) | visFreeVar(v0, v3))
% 47.46/13.98  | (37) vtcheck(all_0_2_2, all_0_1_1, all_0_3_3)
% 47.46/13.98  | (38)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = v3 |  ~ (vbind(v0, v1, v2) = v4) |  ~ (vbind(v0, v1, v2) = v3))
% 47.46/13.98  | (39)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (vapp(v3, v2) = v1) |  ~ (vapp(v3, v2) = v0))
% 47.46/13.98  | (40)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (vgetSomeExp(v0) = v1) |  ~ (vsomeExp(v2) = v0))
% 47.46/13.98  | (41)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (vbind(v0, v2, v6) = v7) |  ~ (vbind(v0, v1, v3) = v6) |  ~ vtcheck(v7, v4, v5) |  ? [v8] : (vbind(v0, v2, v3) = v8 & vtcheck(v8, v4, v5)))
% 47.46/13.98  | (42)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] : (v8 = v3 |  ~ (vsubst(v0, v1, v5) = v7) |  ~ (vsubst(v0, v1, v4) = v6) |  ~ (vsubst(v0, v1, v2) = v3) |  ~ (vapp(v6, v7) = v8) |  ? [v9] : ( ~ (v9 = v2) & vapp(v4, v5) = v9))
% 47.46/13.98  | (43)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (vabs(v1, v0, v3) = v2) |  ~ visFreeVar(v1, v2))
% 47.46/13.98  | (44)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v3 = v0 |  ~ (vbind(v3, v4, v5) = v6) |  ~ (vbind(v0, v1, v2) = v6))
% 47.46/13.98  | (45)  ~ (all_0_5_5 = all_0_7_7)
% 47.46/13.98  | (46)  ! [v0] :  ! [v1] : (v1 = vnoType |  ~ (vlookup(v0, vempty) = v1))
% 47.46/13.98  | (47)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (vgetSomeExp(v2) = v1) |  ~ (vgetSomeExp(v2) = v0))
% 47.46/13.98  | (48)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (vsubst(v1, v4, v3) = v5) |  ~ (vabs(v2, v0, v5) = v6) |  ~ (vvar(v2) = v4) | visFreeVar(v2, v3) |  ? [v7] : (vabs(v1, v0, v3) = v7 & valphaEquivalent(v7, v6)))
% 47.46/13.98  | (49)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (vgensym(v2) = v1) |  ~ (vgensym(v2) = v0))
% 47.46/13.98  | (50)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v3 = v1 |  ~ (varrow(v2, v3) = v4) |  ~ (varrow(v0, v1) = v4))
% 47.46/13.98  | (51)  ~ vtcheck(all_0_8_8, all_0_0_0, all_0_3_3)
% 47.46/13.98  | (52)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v3 = v1 |  ~ (vabs(v3, v0, v4) = v2) |  ~ visFreeVar(v1, v4) | visFreeVar(v1, v2))
% 47.46/13.98  | (53)  ! [v0] :  ! [v1] :  ! [v2] :  ~ (vbind(v0, v1, v2) = vempty)
% 47.46/13.98  | (54)  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : (v6 = vnoExp |  ~ (vreduce(v5) = v6) |  ~ (vapp(v7, v4) = v5) |  ~ (vabs(v1, v2, v3) = v7) | visSomeExp(v0) | visValue(v4) |  ? [v8] : ( ~ (v8 = v0) & vreduce(v4) = v8))
% 47.46/13.98  | (55)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (vapp(v4, v5) = v6) |  ~ (vapp(v0, v3) = v4) |  ~ (vvar(v1) = v5) |  ~ visFreeVar(v2, v3) |  ? [v7] : ( ~ (v7 = v2) & vgensym(v6) = v7))
% 47.46/13.98  | (56)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v2 = v0 |  ~ (varrow(v2, v3) = v4) |  ~ (varrow(v0, v1) = v4))
% 47.46/13.98  | (57)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = vnoExp |  ~ (vreduce(v3) = v4) |  ~ (vabs(v0, v1, v2) = v3))
% 47.46/13.98  | (58)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v3 = v2 |  ~ (vsubst(v1, v0, v2) = v3) |  ~ (vabs(v1, v4, v5) = v2))
% 47.46/13.98  | (59)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (vreduce(v1) = v2) |  ~ (vreduce(v0) = v3) |  ~ (vgetSomeExp(v3) = v5) |  ~ (vapp(v5, v4) = v6) |  ~ visSomeExp(v3) |  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] : ((v10 = v0 & vabs(v7, v8, v9) = v0) | (v7 = v2 & vsomeExp(v6) = v2) | ( ~ (v7 = v1) & vapp(v0, v4) = v7)))
% 47.46/13.98  | (60)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v3 = v0 |  ~ (vabs(v3, v4, v5) = v6) |  ~ (vabs(v0, v1, v2) = v6))
% 47.46/13.98  | (61)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (vabs(v0, v1, v2) = v3) | visValue(v3))
% 47.46/13.98  | (62)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (varrow(v3, v4) = v7) |  ~ (vbind(v1, v3, v0) = v5) |  ~ (vabs(v1, v3, v2) = v6) |  ~ vtcheck(v5, v2, v4) | vtcheck(v0, v6, v7))
% 47.46/13.98  | (63)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (vsomeType(v1) = v3) |  ~ vtcheck(v2, v0, v1) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] : ((v9 = v1 & v8 = v0 & varrow(v6, v7) = v1 & vbind(v4, v6, v2) = v10 & vabs(v4, v6, v5) = v0 & vtcheck(v10, v5, v7)) | (v7 = v0 & varrow(v6, v1) = v8 & vapp(v4, v5) = v0 & vtcheck(v2, v5, v6) & vtcheck(v2, v4, v8)) | (v6 = v3 & v5 = v0 & vlookup(v4, v2) = v3 & vvar(v4) = v0)))
% 47.46/13.99  | (64)  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (vreduce(v2) = v3) |  ~ (vapp(v7, v5) = v2) |  ~ (vabs(v4, v1, v6) = v7) |  ~ visValue(v5) | visSomeExp(v0) |  ? [v8] :  ? [v9] : ((v9 = v3 & vsomeExp(v8) = v3 & vsubst(v4, v5, v6) = v8) | ( ~ (v8 = v0) & vreduce(v5) = v8)))
% 47.46/13.99  | (65)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : (v11 = v3 | v5 = v0 |  ~ (vsubst(v5, v8, v7) = v9) |  ~ (vsubst(v0, v1, v10) = v11) |  ~ (vsubst(v0, v1, v2) = v3) |  ~ (vabs(v6, v4, v9) = v10) |  ~ (vvar(v6) = v8) |  ~ visFreeVar(v5, v1) |  ? [v12] :  ? [v13] :  ? [v14] :  ? [v15] : (( ~ (v15 = v6) & vgensym(v14) = v15 & vapp(v12, v13) = v14 & vapp(v1, v7) = v12 & vvar(v0) = v13) | ( ~ (v12 = v2) & vabs(v5, v4, v7) = v12)))
% 47.46/13.99  | (66)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v2 = v0 |  ~ (vapp(v2, v3) = v4) |  ~ (vapp(v0, v1) = v4))
% 47.46/13.99  | (67)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v6 = v4 | v2 = v1 |  ~ (vlookup(v2, v5) = v6) |  ~ (vlookup(v2, v3) = v4) |  ~ (vbind(v1, v0, v5) = v3))
% 47.46/13.99  | (68)  ! [v0] :  ! [v1] : ( ~ (vvar(v0) = v1) | visFreeVar(v0, v1))
% 47.46/13.99  | (69)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v4 = v1 |  ~ (vbind(v3, v4, v5) = v6) |  ~ (vbind(v0, v1, v2) = v6))
% 47.46/13.99  | (70)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = vempty |  ~ (vlookup(v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : ((v8 = v2 & v7 = v1 & v5 = v0 & v4 = v0 & vsomeType(v6) = v2 & vbind(v0, v6, v3) = v1) | (v8 = v2 & v7 = v1 & v5 = v0 &  ~ (v4 = v0) & vlookup(v0, v6) = v2 & vbind(v4, v3, v6) = v1)))
% 47.46/13.99  | (71)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (vbind(v0, v1, v2) = v5) |  ~ vtcheck(v2, v3, v4) | vtcheck(v5, v3, v4) |  ? [v6] : ( ~ (v6 = vnoType) & vlookup(v0, v2) = v6))
% 47.46/13.99  | (72)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (vsubst(v0, v1, v2) = v3) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] :  ? [v15] :  ? [v16] :  ? [v17] :  ? [v18] : ((v18 = v3 & v14 = v8 & v10 = v2 & v5 = v1 & v4 = v0 &  ~ (v7 = v0) & vsubst(v7, v15, v9) = v16 & vsubst(v0, v1, v17) = v3 & vgensym(v13) = v8 & vapp(v11, v12) = v13 & vapp(v1, v9) = v11 & vabs(v8, v6, v16) = v17 & vabs(v7, v6, v9) = v2 & vvar(v8) = v15 & vvar(v0) = v12 & visFreeVar(v7, v1)) | (v11 = v3 & v9 = v2 & v7 = v1 & v6 = v0 &  ~ (v4 = v0) & vsubst(v0, v1, v8) = v10 & vabs(v4, v5, v10) = v3 & vabs(v4, v5, v8) = v2 &  ~ visFreeVar(v4, v1)) | (v11 = v3 & v8 = v2 & v6 = v1 & v5 = v0 & vsubst(v0, v1, v7) = v10 & vsubst(v0, v1, v4) = v9 & vapp(v9, v10) = v3 & vapp(v4, v7) = v2) | (v9 = v2 & v6 = v0 & v5 = v0 & v4 = v1 & v3 = v2 & vabs(v0, v7, v8) = v2) | (v7 = v2 & v6 = v1 & v5 = v0 & v4 = v0 & v3 = v1 & vvar(v0) = v2) | (v7 = v2 & v5 = v0 & v4 = v1 & v3 = v2 &  ~ (v6 = v0) & vvar(v6) = v2)))
% 47.46/13.99  | (73)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (vsomeType(v0) = v2) |  ~ (vsomeType(v0) = v1))
% 47.46/13.99  | (74)  ! [v0] :  ! [v1] : ( ~ (vgensym(v1) = v0) |  ~ visFreeVar(v0, v1))
% 47.46/13.99  | (75)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = vnoExp |  ~ (vreduce(v1) = v2) |  ~ (vvar(v0) = v1))
% 47.46/13.99  | (76)  ! [v0] :  ~ (vsomeType(v0) = vnoType)
% 47.46/13.99  | (77)  ! [v0] :  ! [v1] : ( ~ (vsomeType(v0) = v1) | visSomeType(v1))
% 47.46/13.99  | (78)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v5 = v2 |  ~ (vbind(v3, v4, v5) = v6) |  ~ (vbind(v0, v1, v2) = v6))
% 47.46/13.99  | (79)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v1 |  ~ (vsubst(v0, v1, v2) = v3) |  ~ (vvar(v0) = v2))
% 47.46/13.99  | (80)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ valphaEquivalent(v1, v0) |  ~ valphaEquivalent(v0, v2) | valphaEquivalent(v1, v2))
% 47.46/13.99  | (81)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (vapp(v1, v2) = v3) |  ~ (vvar(v0) = v3))
% 47.46/13.99  | (82)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (vapp(v3, v4) = v5) |  ~ (vapp(v0, v1) = v3) |  ~ (vvar(v2) = v4) |  ? [v6] : ( ~ (v6 = v2) & vgensym(v5) = v6))
% 47.46/13.99  | (83)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (vabs(v3, v0, v4) = v2) |  ~ visFreeVar(v1, v2) | visFreeVar(v1, v4))
% 47.46/13.99  | (84)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (vsomeExp(v2) = v1) |  ~ (vsomeExp(v2) = v0))
% 47.46/13.99  | (85)  ? [v0] :  ? [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] : (v4 = v2 |  ~ (vbind(v4, v5, v6) = v7) |  ~ (vbind(v2, v3, v7) = v8) | vtcheck(v8, v0, v1) |  ? [v9] :  ? [v10] : (vbind(v4, v5, v9) = v10 & vbind(v2, v3, v6) = v9 &  ~ vtcheck(v10, v0, v1)))
% 47.46/13.99  | (86)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (vgetSomeType(v2) = v1) |  ~ (vgetSomeType(v2) = v0))
% 47.46/13.99  | (87)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (vapp(v3, v4) = v5) |  ~ (vabs(v0, v1, v2) = v5))
% 47.46/13.99  | (88)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (vsomeType(v1) = v2) |  ~ (vsomeType(v0) = v2))
% 47.46/13.99  | (89)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v5 = v2 |  ~ (vabs(v3, v4, v5) = v6) |  ~ (vabs(v0, v1, v2) = v6))
% 47.46/13.99  | (90)  ! [v0] :  ! [v1] : ( ~ (vvar(v0) = v1) |  ~ visValue(v1))
% 47.46/14.00  | (91)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v3 = v1 |  ~ (vapp(v2, v3) = v4) |  ~ (vapp(v0, v1) = v4))
% 47.46/14.00  | (92)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = v3 |  ~ (vabs(v0, v1, v2) = v4) |  ~ (vabs(v0, v1, v2) = v3))
% 47.46/14.00  | (93)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (vsomeExp(v1) = v2) |  ~ (vsomeExp(v0) = v2))
% 47.46/14.00  | (94)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (vvar(v2) = v1) |  ~ (vvar(v2) = v0))
% 47.46/14.00  | (95)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (vapp(v2, v3) = v1) |  ~ visFreeVar(v0, v3) | visFreeVar(v0, v1))
% 47.46/14.00  | (96) vbind(all_0_7_7, all_0_9_9, all_0_8_8) = all_0_2_2
% 47.46/14.00  | (97)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (vsomeType(v2) = v1) |  ~ (vsomeType(v2) = v0))
% 47.46/14.00  | (98)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (varrow(v3, v2) = v1) |  ~ (varrow(v3, v2) = v0))
% 47.46/14.00  | (99)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (vvar(v0) = v2) |  ~ (vvar(v0) = v1))
% 47.46/14.00  | (100)  ! [v0] :  ! [v1] : ( ~ (vreduce(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] : ((v12 = v1 & v9 = v6 & v8 = v0 & vreduce(v2) = v6 & vgetSomeExp(v6) = v10 & vsomeExp(v11) = v1 & vapp(v7, v10) = v11 & vapp(v7, v2) = v0 & vabs(v3, v4, v5) = v7 & visSomeExp(v6)) | (v11 = v1 & v9 = v3 & v8 = v0 & vreduce(v5) = v3 & vsomeExp(v10) = v1 & vsubst(v4, v5, v6) = v10 & vapp(v7, v5) = v0 & vabs(v4, v2, v6) = v7 & visValue(v5) &  ~ visSomeExp(v3)) | (v9 = v5 & v8 = v0 & v1 = vnoExp & vreduce(v6) = v5 & vapp(v7, v6) = v0 & vabs(v2, v3, v4) = v7 &  ~ visSomeExp(v5) &  ~ visValue(v6)) | (v9 = v1 & v6 = v3 & v5 = v0 & vreduce(v2) = v3 & vgetSomeExp(v3) = v7 & vsomeExp(v8) = v1 & vapp(v7, v4) = v8 & vapp(v2, v4) = v0 & visSomeExp(v3) &  ! [v13] :  ! [v14] :  ! [v15] :  ~ (vabs(v13, v14, v15) = v2)) | (v6 = v4 & v5 = v0 & v1 = vnoExp & vreduce(v3) = v4 & vapp(v3, v2) = v0 &  ~ visSomeExp(v4) &  ! [v13] :  ! [v14] :  ! [v15] :  ~ (vabs(v13, v14, v15) = v3)) | (v5 = v0 & v1 = vnoExp & vabs(v2, v3, v4) = v0) | (v3 = v0 & v1 = vnoExp & vvar(v2) = v0)))
% 47.46/14.00  | (101)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (vapp(v2, v3) = v1) |  ~ visFreeVar(v0, v1) | visFreeVar(v0, v3) | visFreeVar(v0, v2))
% 47.46/14.00  | (102)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ valphaEquivalent(v0, v2) |  ~ vtcheck(v1, v0, v3) | vtcheck(v1, v2, v3))
% 47.46/14.00  | (103)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (vbind(v4, v3, v2) = v1) |  ~ (vbind(v4, v3, v2) = v0))
% 47.46/14.00  | (104)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (varrow(v0, v4) = v5) |  ~ (vapp(v2, v3) = v6) |  ~ vtcheck(v1, v3, v0) |  ~ vtcheck(v1, v2, v5) | vtcheck(v1, v6, v4))
% 47.46/14.00  | (105)  ! [v0] :  ~ (vsomeExp(v0) = vnoExp)
% 47.46/14.00  |
% 47.46/14.00  | Instantiating formula (72) with all_0_0_0, all_0_1_1, all_0_6_6, all_0_7_7 and discharging atoms vsubst(all_0_7_7, all_0_6_6, all_0_1_1) = all_0_0_0, yields:
% 47.46/14.00  | (106)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] : ((v14 = all_0_0_0 & v10 = v4 & v6 = all_0_1_1 & v1 = all_0_6_6 & v0 = all_0_7_7 &  ~ (v3 = all_0_7_7) & vsubst(v3, v11, v5) = v12 & vsubst(all_0_7_7, all_0_6_6, v13) = all_0_0_0 & vgensym(v9) = v4 & vapp(v7, v8) = v9 & vapp(all_0_6_6, v5) = v7 & vabs(v4, v2, v12) = v13 & vabs(v3, v2, v5) = all_0_1_1 & vvar(v4) = v11 & vvar(all_0_7_7) = v8 & visFreeVar(v3, all_0_6_6)) | (v7 = all_0_0_0 & v5 = all_0_1_1 & v3 = all_0_6_6 & v2 = all_0_7_7 &  ~ (v0 = all_0_7_7) & vsubst(all_0_7_7, all_0_6_6, v4) = v6 & vabs(v0, v1, v6) = all_0_0_0 & vabs(v0, v1, v4) = all_0_1_1 &  ~ visFreeVar(v0, all_0_6_6)) | (v7 = all_0_0_0 & v4 = all_0_1_1 & v2 = all_0_6_6 & v1 = all_0_7_7 & vsubst(all_0_7_7, all_0_6_6, v3) = v6 & vsubst(all_0_7_7, all_0_6_6, v0) = v5 & vapp(v5, v6) = all_0_0_0 & vapp(v0, v3) = all_0_1_1) | (v5 = all_0_1_1 & v2 = all_0_7_7 & v1 = all_0_7_7 & v0 = all_0_6_6 & all_0_0_0 = all_0_1_1 & vabs(all_0_7_7, v3, v4) = all_0_1_1) | (v3 = all_0_1_1 & v2 = all_0_6_6 & v1 = all_0_7_7 & v0 = all_0_7_7 & all_0_0_0 = all_0_6_6 & vvar(all_0_7_7) = all_0_1_1) | (v3 = all_0_1_1 & v1 = all_0_7_7 & v0 = all_0_6_6 & all_0_0_0 = all_0_1_1 &  ~ (v2 = all_0_7_7) & vvar(v2) = all_0_1_1))
% 47.46/14.00  |
% 47.46/14.00  | Instantiating formula (61) with all_0_1_1, veabs, all_0_4_4, all_0_5_5 and discharging atoms vabs(all_0_5_5, all_0_4_4, veabs) = all_0_1_1, yields:
% 47.46/14.00  | (107) visValue(all_0_1_1)
% 47.46/14.00  |
% 47.46/14.00  | Instantiating formula (36) with all_0_2_2, all_0_3_3, all_0_1_1, all_0_8_8, all_0_9_9, all_0_7_7 and discharging atoms vbind(all_0_7_7, all_0_9_9, all_0_8_8) = all_0_2_2, vtcheck(all_0_2_2, all_0_1_1, all_0_3_3), yields:
% 47.46/14.00  | (108) vtcheck(all_0_8_8, all_0_1_1, all_0_3_3) | visFreeVar(all_0_7_7, all_0_1_1)
% 47.46/14.00  |
% 47.46/14.00  | Instantiating (106) with all_27_0_16, all_27_1_17, all_27_2_18, all_27_3_19, all_27_4_20, all_27_5_21, all_27_6_22, all_27_7_23, all_27_8_24, all_27_9_25, all_27_10_26, all_27_11_27, all_27_12_28, all_27_13_29, all_27_14_30 yields:
% 47.46/14.00  | (109) (all_27_0_16 = all_0_0_0 & all_27_4_20 = all_27_10_26 & all_27_8_24 = all_0_1_1 & all_27_13_29 = all_0_6_6 & all_27_14_30 = all_0_7_7 &  ~ (all_27_11_27 = all_0_7_7) & vsubst(all_27_11_27, all_27_3_19, all_27_9_25) = all_27_2_18 & vsubst(all_0_7_7, all_0_6_6, all_27_1_17) = all_0_0_0 & vgensym(all_27_5_21) = all_27_10_26 & vapp(all_27_7_23, all_27_6_22) = all_27_5_21 & vapp(all_0_6_6, all_27_9_25) = all_27_7_23 & vabs(all_27_10_26, all_27_12_28, all_27_2_18) = all_27_1_17 & vabs(all_27_11_27, all_27_12_28, all_27_9_25) = all_0_1_1 & vvar(all_27_10_26) = all_27_3_19 & vvar(all_0_7_7) = all_27_6_22 & visFreeVar(all_27_11_27, all_0_6_6)) | (all_27_7_23 = all_0_0_0 & all_27_9_25 = all_0_1_1 & all_27_11_27 = all_0_6_6 & all_27_12_28 = all_0_7_7 &  ~ (all_27_14_30 = all_0_7_7) & vsubst(all_0_7_7, all_0_6_6, all_27_10_26) = all_27_8_24 & vabs(all_27_14_30, all_27_13_29, all_27_8_24) = all_0_0_0 & vabs(all_27_14_30, all_27_13_29, all_27_10_26) = all_0_1_1 &  ~ visFreeVar(all_27_14_30, all_0_6_6)) | (all_27_7_23 = all_0_0_0 & all_27_10_26 = all_0_1_1 & all_27_12_28 = all_0_6_6 & all_27_13_29 = all_0_7_7 & vsubst(all_0_7_7, all_0_6_6, all_27_11_27) = all_27_8_24 & vsubst(all_0_7_7, all_0_6_6, all_27_14_30) = all_27_9_25 & vapp(all_27_9_25, all_27_8_24) = all_0_0_0 & vapp(all_27_14_30, all_27_11_27) = all_0_1_1) | (all_27_9_25 = all_0_1_1 & all_27_12_28 = all_0_7_7 & all_27_13_29 = all_0_7_7 & all_27_14_30 = all_0_6_6 & all_0_0_0 = all_0_1_1 & vabs(all_0_7_7, all_27_11_27, all_27_10_26) = all_0_1_1) | (all_27_11_27 = all_0_1_1 & all_27_12_28 = all_0_6_6 & all_27_13_29 = all_0_7_7 & all_27_14_30 = all_0_7_7 & all_0_0_0 = all_0_6_6 & vvar(all_0_7_7) = all_0_1_1) | (all_27_11_27 = all_0_1_1 & all_27_13_29 = all_0_7_7 & all_27_14_30 = all_0_6_6 & all_0_0_0 = all_0_1_1 &  ~ (all_27_12_28 = all_0_7_7) & vvar(all_27_12_28) = all_0_1_1)
% 47.46/14.00  |
% 47.46/14.00  +-Applying beta-rule and splitting (108), into two cases.
% 47.46/14.00  |-Branch one:
% 47.46/14.00  | (110) vtcheck(all_0_8_8, all_0_1_1, all_0_3_3)
% 47.46/14.00  |
% 47.46/14.00  	| Using (110) and (51) yields:
% 47.46/14.00  	| (111)  ~ (all_0_0_0 = all_0_1_1)
% 47.46/14.00  	|
% 47.46/14.00  	+-Applying beta-rule and splitting (109), into two cases.
% 47.46/14.00  	|-Branch one:
% 47.46/14.00  	| (112) (all_27_0_16 = all_0_0_0 & all_27_4_20 = all_27_10_26 & all_27_8_24 = all_0_1_1 & all_27_13_29 = all_0_6_6 & all_27_14_30 = all_0_7_7 &  ~ (all_27_11_27 = all_0_7_7) & vsubst(all_27_11_27, all_27_3_19, all_27_9_25) = all_27_2_18 & vsubst(all_0_7_7, all_0_6_6, all_27_1_17) = all_0_0_0 & vgensym(all_27_5_21) = all_27_10_26 & vapp(all_27_7_23, all_27_6_22) = all_27_5_21 & vapp(all_0_6_6, all_27_9_25) = all_27_7_23 & vabs(all_27_10_26, all_27_12_28, all_27_2_18) = all_27_1_17 & vabs(all_27_11_27, all_27_12_28, all_27_9_25) = all_0_1_1 & vvar(all_27_10_26) = all_27_3_19 & vvar(all_0_7_7) = all_27_6_22 & visFreeVar(all_27_11_27, all_0_6_6)) | (all_27_7_23 = all_0_0_0 & all_27_9_25 = all_0_1_1 & all_27_11_27 = all_0_6_6 & all_27_12_28 = all_0_7_7 &  ~ (all_27_14_30 = all_0_7_7) & vsubst(all_0_7_7, all_0_6_6, all_27_10_26) = all_27_8_24 & vabs(all_27_14_30, all_27_13_29, all_27_8_24) = all_0_0_0 & vabs(all_27_14_30, all_27_13_29, all_27_10_26) = all_0_1_1 &  ~ visFreeVar(all_27_14_30, all_0_6_6)) | (all_27_7_23 = all_0_0_0 & all_27_10_26 = all_0_1_1 & all_27_12_28 = all_0_6_6 & all_27_13_29 = all_0_7_7 & vsubst(all_0_7_7, all_0_6_6, all_27_11_27) = all_27_8_24 & vsubst(all_0_7_7, all_0_6_6, all_27_14_30) = all_27_9_25 & vapp(all_27_9_25, all_27_8_24) = all_0_0_0 & vapp(all_27_14_30, all_27_11_27) = all_0_1_1) | (all_27_9_25 = all_0_1_1 & all_27_12_28 = all_0_7_7 & all_27_13_29 = all_0_7_7 & all_27_14_30 = all_0_6_6 & all_0_0_0 = all_0_1_1 & vabs(all_0_7_7, all_27_11_27, all_27_10_26) = all_0_1_1) | (all_27_11_27 = all_0_1_1 & all_27_12_28 = all_0_6_6 & all_27_13_29 = all_0_7_7 & all_27_14_30 = all_0_7_7 & all_0_0_0 = all_0_6_6 & vvar(all_0_7_7) = all_0_1_1)
% 47.46/14.01  	|
% 47.46/14.01  		+-Applying beta-rule and splitting (112), into two cases.
% 47.46/14.01  		|-Branch one:
% 47.46/14.01  		| (113) (all_27_0_16 = all_0_0_0 & all_27_4_20 = all_27_10_26 & all_27_8_24 = all_0_1_1 & all_27_13_29 = all_0_6_6 & all_27_14_30 = all_0_7_7 &  ~ (all_27_11_27 = all_0_7_7) & vsubst(all_27_11_27, all_27_3_19, all_27_9_25) = all_27_2_18 & vsubst(all_0_7_7, all_0_6_6, all_27_1_17) = all_0_0_0 & vgensym(all_27_5_21) = all_27_10_26 & vapp(all_27_7_23, all_27_6_22) = all_27_5_21 & vapp(all_0_6_6, all_27_9_25) = all_27_7_23 & vabs(all_27_10_26, all_27_12_28, all_27_2_18) = all_27_1_17 & vabs(all_27_11_27, all_27_12_28, all_27_9_25) = all_0_1_1 & vvar(all_27_10_26) = all_27_3_19 & vvar(all_0_7_7) = all_27_6_22 & visFreeVar(all_27_11_27, all_0_6_6)) | (all_27_7_23 = all_0_0_0 & all_27_9_25 = all_0_1_1 & all_27_11_27 = all_0_6_6 & all_27_12_28 = all_0_7_7 &  ~ (all_27_14_30 = all_0_7_7) & vsubst(all_0_7_7, all_0_6_6, all_27_10_26) = all_27_8_24 & vabs(all_27_14_30, all_27_13_29, all_27_8_24) = all_0_0_0 & vabs(all_27_14_30, all_27_13_29, all_27_10_26) = all_0_1_1 &  ~ visFreeVar(all_27_14_30, all_0_6_6)) | (all_27_7_23 = all_0_0_0 & all_27_10_26 = all_0_1_1 & all_27_12_28 = all_0_6_6 & all_27_13_29 = all_0_7_7 & vsubst(all_0_7_7, all_0_6_6, all_27_11_27) = all_27_8_24 & vsubst(all_0_7_7, all_0_6_6, all_27_14_30) = all_27_9_25 & vapp(all_27_9_25, all_27_8_24) = all_0_0_0 & vapp(all_27_14_30, all_27_11_27) = all_0_1_1) | (all_27_9_25 = all_0_1_1 & all_27_12_28 = all_0_7_7 & all_27_13_29 = all_0_7_7 & all_27_14_30 = all_0_6_6 & all_0_0_0 = all_0_1_1 & vabs(all_0_7_7, all_27_11_27, all_27_10_26) = all_0_1_1)
% 47.46/14.01  		|
% 47.46/14.01  			+-Applying beta-rule and splitting (113), into two cases.
% 47.46/14.01  			|-Branch one:
% 47.46/14.01  			| (114) (all_27_0_16 = all_0_0_0 & all_27_4_20 = all_27_10_26 & all_27_8_24 = all_0_1_1 & all_27_13_29 = all_0_6_6 & all_27_14_30 = all_0_7_7 &  ~ (all_27_11_27 = all_0_7_7) & vsubst(all_27_11_27, all_27_3_19, all_27_9_25) = all_27_2_18 & vsubst(all_0_7_7, all_0_6_6, all_27_1_17) = all_0_0_0 & vgensym(all_27_5_21) = all_27_10_26 & vapp(all_27_7_23, all_27_6_22) = all_27_5_21 & vapp(all_0_6_6, all_27_9_25) = all_27_7_23 & vabs(all_27_10_26, all_27_12_28, all_27_2_18) = all_27_1_17 & vabs(all_27_11_27, all_27_12_28, all_27_9_25) = all_0_1_1 & vvar(all_27_10_26) = all_27_3_19 & vvar(all_0_7_7) = all_27_6_22 & visFreeVar(all_27_11_27, all_0_6_6)) | (all_27_7_23 = all_0_0_0 & all_27_9_25 = all_0_1_1 & all_27_11_27 = all_0_6_6 & all_27_12_28 = all_0_7_7 &  ~ (all_27_14_30 = all_0_7_7) & vsubst(all_0_7_7, all_0_6_6, all_27_10_26) = all_27_8_24 & vabs(all_27_14_30, all_27_13_29, all_27_8_24) = all_0_0_0 & vabs(all_27_14_30, all_27_13_29, all_27_10_26) = all_0_1_1 &  ~ visFreeVar(all_27_14_30, all_0_6_6)) | (all_27_7_23 = all_0_0_0 & all_27_10_26 = all_0_1_1 & all_27_12_28 = all_0_6_6 & all_27_13_29 = all_0_7_7 & vsubst(all_0_7_7, all_0_6_6, all_27_11_27) = all_27_8_24 & vsubst(all_0_7_7, all_0_6_6, all_27_14_30) = all_27_9_25 & vapp(all_27_9_25, all_27_8_24) = all_0_0_0 & vapp(all_27_14_30, all_27_11_27) = all_0_1_1)
% 47.46/14.01  			|
% 47.46/14.01  				+-Applying beta-rule and splitting (114), into two cases.
% 47.46/14.01  				|-Branch one:
% 47.46/14.01  				| (115) (all_27_0_16 = all_0_0_0 & all_27_4_20 = all_27_10_26 & all_27_8_24 = all_0_1_1 & all_27_13_29 = all_0_6_6 & all_27_14_30 = all_0_7_7 &  ~ (all_27_11_27 = all_0_7_7) & vsubst(all_27_11_27, all_27_3_19, all_27_9_25) = all_27_2_18 & vsubst(all_0_7_7, all_0_6_6, all_27_1_17) = all_0_0_0 & vgensym(all_27_5_21) = all_27_10_26 & vapp(all_27_7_23, all_27_6_22) = all_27_5_21 & vapp(all_0_6_6, all_27_9_25) = all_27_7_23 & vabs(all_27_10_26, all_27_12_28, all_27_2_18) = all_27_1_17 & vabs(all_27_11_27, all_27_12_28, all_27_9_25) = all_0_1_1 & vvar(all_27_10_26) = all_27_3_19 & vvar(all_0_7_7) = all_27_6_22 & visFreeVar(all_27_11_27, all_0_6_6)) | (all_27_7_23 = all_0_0_0 & all_27_9_25 = all_0_1_1 & all_27_11_27 = all_0_6_6 & all_27_12_28 = all_0_7_7 &  ~ (all_27_14_30 = all_0_7_7) & vsubst(all_0_7_7, all_0_6_6, all_27_10_26) = all_27_8_24 & vabs(all_27_14_30, all_27_13_29, all_27_8_24) = all_0_0_0 & vabs(all_27_14_30, all_27_13_29, all_27_10_26) = all_0_1_1 &  ~ visFreeVar(all_27_14_30, all_0_6_6))
% 47.46/14.01  				|
% 47.46/14.01  					+-Applying beta-rule and splitting (115), into two cases.
% 47.46/14.01  					|-Branch one:
% 47.46/14.01  					| (116) all_27_0_16 = all_0_0_0 & all_27_4_20 = all_27_10_26 & all_27_8_24 = all_0_1_1 & all_27_13_29 = all_0_6_6 & all_27_14_30 = all_0_7_7 &  ~ (all_27_11_27 = all_0_7_7) & vsubst(all_27_11_27, all_27_3_19, all_27_9_25) = all_27_2_18 & vsubst(all_0_7_7, all_0_6_6, all_27_1_17) = all_0_0_0 & vgensym(all_27_5_21) = all_27_10_26 & vapp(all_27_7_23, all_27_6_22) = all_27_5_21 & vapp(all_0_6_6, all_27_9_25) = all_27_7_23 & vabs(all_27_10_26, all_27_12_28, all_27_2_18) = all_27_1_17 & vabs(all_27_11_27, all_27_12_28, all_27_9_25) = all_0_1_1 & vvar(all_27_10_26) = all_27_3_19 & vvar(all_0_7_7) = all_27_6_22 & visFreeVar(all_27_11_27, all_0_6_6)
% 47.46/14.01  					|
% 47.46/14.01  						| Applying alpha-rule on (116) yields:
% 47.46/14.01  						| (117) all_27_14_30 = all_0_7_7
% 47.46/14.01  						| (118) vvar(all_27_10_26) = all_27_3_19
% 47.46/14.01  						| (119) vsubst(all_0_7_7, all_0_6_6, all_27_1_17) = all_0_0_0
% 47.46/14.01  						| (120) vapp(all_27_7_23, all_27_6_22) = all_27_5_21
% 47.46/14.01  						| (121) all_27_8_24 = all_0_1_1
% 47.46/14.01  						| (122) vsubst(all_27_11_27, all_27_3_19, all_27_9_25) = all_27_2_18
% 47.46/14.01  						| (123) all_27_13_29 = all_0_6_6
% 47.46/14.01  						| (124) vgensym(all_27_5_21) = all_27_10_26
% 47.46/14.01  						| (125) visFreeVar(all_27_11_27, all_0_6_6)
% 47.46/14.01  						| (126) vvar(all_0_7_7) = all_27_6_22
% 47.46/14.01  						| (127) all_27_0_16 = all_0_0_0
% 47.46/14.01  						| (128)  ~ (all_27_11_27 = all_0_7_7)
% 47.46/14.01  						| (129) all_27_4_20 = all_27_10_26
% 47.46/14.01  						| (130) vabs(all_27_11_27, all_27_12_28, all_27_9_25) = all_0_1_1
% 47.46/14.01  						| (131) vabs(all_27_10_26, all_27_12_28, all_27_2_18) = all_27_1_17
% 47.46/14.01  						| (132) vapp(all_0_6_6, all_27_9_25) = all_27_7_23
% 47.46/14.01  						|
% 47.46/14.01  						| Instantiating formula (89) with all_0_1_1, all_27_9_25, all_27_12_28, all_27_11_27, veabs, all_0_4_4, all_0_5_5 and discharging atoms vabs(all_27_11_27, all_27_12_28, all_27_9_25) = all_0_1_1, vabs(all_0_5_5, all_0_4_4, veabs) = all_0_1_1, yields:
% 47.46/14.01  						| (133) all_27_9_25 = veabs
% 47.46/14.01  						|
% 47.46/14.01  						| Instantiating formula (6) with all_0_1_1, all_27_9_25, all_27_12_28, all_27_11_27, veabs, all_0_4_4, all_0_5_5 and discharging atoms vabs(all_27_11_27, all_27_12_28, all_27_9_25) = all_0_1_1, vabs(all_0_5_5, all_0_4_4, veabs) = all_0_1_1, yields:
% 47.46/14.01  						| (134) all_27_12_28 = all_0_4_4
% 47.46/14.01  						|
% 47.46/14.01  						| Instantiating formula (60) with all_0_1_1, all_27_9_25, all_27_12_28, all_27_11_27, veabs, all_0_4_4, all_0_5_5 and discharging atoms vabs(all_27_11_27, all_27_12_28, all_27_9_25) = all_0_1_1, vabs(all_0_5_5, all_0_4_4, veabs) = all_0_1_1, yields:
% 47.46/14.01  						| (135) all_27_11_27 = all_0_5_5
% 47.46/14.01  						|
% 47.46/14.01  						| From (135)(133) and (122) follows:
% 47.95/14.01  						| (136) vsubst(all_0_5_5, all_27_3_19, veabs) = all_27_2_18
% 47.95/14.01  						|
% 47.95/14.01  						| From (133) and (132) follows:
% 47.95/14.01  						| (137) vapp(all_0_6_6, veabs) = all_27_7_23
% 47.95/14.01  						|
% 47.95/14.01  						| From (134) and (131) follows:
% 47.95/14.01  						| (138) vabs(all_27_10_26, all_0_4_4, all_27_2_18) = all_27_1_17
% 47.95/14.01  						|
% 47.95/14.01  						| From (135)(134)(133) and (130) follows:
% 47.95/14.01  						| (23) vabs(all_0_5_5, all_0_4_4, veabs) = all_0_1_1
% 47.95/14.01  						|
% 47.95/14.01  						| Instantiating formula (48) with all_27_1_17, all_27_2_18, all_27_3_19, veabs, all_27_10_26, all_0_5_5, all_0_4_4 and discharging atoms vsubst(all_0_5_5, all_27_3_19, veabs) = all_27_2_18, vabs(all_27_10_26, all_0_4_4, all_27_2_18) = all_27_1_17, vvar(all_27_10_26) = all_27_3_19, yields:
% 47.95/14.01  						| (140) visFreeVar(all_27_10_26, veabs) |  ? [v0] : (vabs(all_0_5_5, all_0_4_4, veabs) = v0 & valphaEquivalent(v0, all_27_1_17))
% 47.95/14.01  						|
% 47.95/14.01  						| Instantiating formula (82) with all_27_5_21, all_27_6_22, all_27_7_23, all_0_7_7, veabs, all_0_6_6 and discharging atoms vapp(all_27_7_23, all_27_6_22) = all_27_5_21, vapp(all_0_6_6, veabs) = all_27_7_23, vvar(all_0_7_7) = all_27_6_22, yields:
% 47.95/14.01  						| (141)  ? [v0] : ( ~ (v0 = all_0_7_7) & vgensym(all_27_5_21) = v0)
% 47.95/14.01  						|
% 47.95/14.01  						| Instantiating (141) with all_72_0_46 yields:
% 47.95/14.01  						| (142)  ~ (all_72_0_46 = all_0_7_7) & vgensym(all_27_5_21) = all_72_0_46
% 47.95/14.01  						|
% 47.95/14.01  						| Applying alpha-rule on (142) yields:
% 47.95/14.01  						| (143)  ~ (all_72_0_46 = all_0_7_7)
% 47.95/14.01  						| (144) vgensym(all_27_5_21) = all_72_0_46
% 47.95/14.01  						|
% 47.95/14.01  						| Instantiating formula (49) with all_27_5_21, all_72_0_46, all_27_10_26 and discharging atoms vgensym(all_27_5_21) = all_72_0_46, vgensym(all_27_5_21) = all_27_10_26, yields:
% 47.95/14.01  						| (145) all_72_0_46 = all_27_10_26
% 47.95/14.01  						|
% 47.95/14.01  						| Equations (145) can reduce 143 to:
% 47.95/14.01  						| (146)  ~ (all_27_10_26 = all_0_7_7)
% 47.95/14.01  						|
% 47.95/14.01  						| From (145) and (144) follows:
% 47.95/14.01  						| (124) vgensym(all_27_5_21) = all_27_10_26
% 47.95/14.01  						|
% 47.95/14.01  						| Instantiating formula (55) with all_27_5_21, all_27_6_22, all_27_7_23, veabs, all_27_10_26, all_0_7_7, all_0_6_6 and discharging atoms vapp(all_27_7_23, all_27_6_22) = all_27_5_21, vapp(all_0_6_6, veabs) = all_27_7_23, vvar(all_0_7_7) = all_27_6_22, yields:
% 47.95/14.01  						| (148)  ~ visFreeVar(all_27_10_26, veabs) |  ? [v0] : ( ~ (v0 = all_27_10_26) & vgensym(all_27_5_21) = v0)
% 47.95/14.01  						|
% 47.95/14.01  						| Instantiating formula (2) with veabs, all_0_6_6, all_27_7_23, all_27_10_26 and discharging atoms vapp(all_0_6_6, veabs) = all_27_7_23, yields:
% 47.95/14.01  						| (149)  ~ visFreeVar(all_27_10_26, all_0_6_6) | visFreeVar(all_27_10_26, all_27_7_23)
% 47.95/14.01  						|
% 47.95/14.01  						+-Applying beta-rule and splitting (148), into two cases.
% 47.95/14.01  						|-Branch one:
% 47.95/14.01  						| (150)  ~ visFreeVar(all_27_10_26, veabs)
% 47.95/14.01  						|
% 47.95/14.01  							+-Applying beta-rule and splitting (140), into two cases.
% 47.95/14.01  							|-Branch one:
% 47.95/14.01  							| (151) visFreeVar(all_27_10_26, veabs)
% 47.95/14.01  							|
% 47.95/14.01  								| Using (151) and (150) yields:
% 47.95/14.01  								| (152) $false
% 47.95/14.01  								|
% 47.95/14.01  								|-The branch is then unsatisfiable
% 47.95/14.01  							|-Branch two:
% 47.95/14.01  							| (150)  ~ visFreeVar(all_27_10_26, veabs)
% 47.95/14.01  							| (154)  ? [v0] : (vabs(all_0_5_5, all_0_4_4, veabs) = v0 & valphaEquivalent(v0, all_27_1_17))
% 47.95/14.01  							|
% 47.95/14.01  								| Instantiating (154) with all_105_0_62 yields:
% 47.95/14.01  								| (155) vabs(all_0_5_5, all_0_4_4, veabs) = all_105_0_62 & valphaEquivalent(all_105_0_62, all_27_1_17)
% 47.95/14.01  								|
% 47.95/14.01  								| Applying alpha-rule on (155) yields:
% 47.95/14.01  								| (156) vabs(all_0_5_5, all_0_4_4, veabs) = all_105_0_62
% 47.95/14.01  								| (157) valphaEquivalent(all_105_0_62, all_27_1_17)
% 47.95/14.01  								|
% 47.95/14.01  								| Instantiating formula (92) with all_105_0_62, all_0_1_1, veabs, all_0_4_4, all_0_5_5 and discharging atoms vabs(all_0_5_5, all_0_4_4, veabs) = all_105_0_62, vabs(all_0_5_5, all_0_4_4, veabs) = all_0_1_1, yields:
% 47.95/14.01  								| (158) all_105_0_62 = all_0_1_1
% 47.95/14.01  								|
% 47.95/14.01  								| From (158) and (157) follows:
% 47.95/14.02  								| (159) valphaEquivalent(all_0_1_1, all_27_1_17)
% 47.95/14.02  								|
% 47.95/14.02  								| Instantiating formula (102) with all_0_3_3, all_27_1_17, all_0_2_2, all_0_1_1 and discharging atoms valphaEquivalent(all_0_1_1, all_27_1_17), vtcheck(all_0_2_2, all_0_1_1, all_0_3_3), yields:
% 47.95/14.02  								| (160) vtcheck(all_0_2_2, all_27_1_17, all_0_3_3)
% 47.95/14.02  								|
% 47.95/14.02  								| Instantiating formula (12) with all_0_0_0, all_27_1_17, all_0_2_2, all_0_3_3, all_27_2_18, all_0_4_4, all_27_10_26, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9 and discharging atoms vsubst(all_0_7_7, all_0_6_6, all_27_1_17) = all_0_0_0, vbind(all_0_7_7, all_0_9_9, all_0_8_8) = all_0_2_2, vabs(all_27_10_26, all_0_4_4, all_27_2_18) = all_27_1_17, vtcheck(all_0_2_2, all_27_1_17, all_0_3_3), vtcheck(all_0_8_8, all_0_6_6, all_0_9_9),  ~ vtcheck(all_0_8_8, all_0_0_0, all_0_3_3), yields:
% 47.95/14.02  								| (161) all_27_10_26 = all_0_7_7 | visFreeVar(all_27_10_26, all_0_6_6)
% 47.95/14.02  								|
% 47.95/14.02  								+-Applying beta-rule and splitting (161), into two cases.
% 47.95/14.02  								|-Branch one:
% 47.95/14.02  								| (162) visFreeVar(all_27_10_26, all_0_6_6)
% 47.95/14.02  								|
% 47.95/14.02  									+-Applying beta-rule and splitting (149), into two cases.
% 47.95/14.02  									|-Branch one:
% 47.95/14.02  									| (163)  ~ visFreeVar(all_27_10_26, all_0_6_6)
% 47.95/14.02  									|
% 47.95/14.02  										| Using (162) and (163) yields:
% 47.95/14.02  										| (152) $false
% 47.95/14.02  										|
% 47.95/14.02  										|-The branch is then unsatisfiable
% 47.95/14.02  									|-Branch two:
% 47.95/14.02  									| (162) visFreeVar(all_27_10_26, all_0_6_6)
% 47.95/14.02  									| (166) visFreeVar(all_27_10_26, all_27_7_23)
% 47.95/14.02  									|
% 47.95/14.02  										| Instantiating formula (2) with all_27_6_22, all_27_7_23, all_27_5_21, all_27_10_26 and discharging atoms vapp(all_27_7_23, all_27_6_22) = all_27_5_21, visFreeVar(all_27_10_26, all_27_7_23), yields:
% 47.95/14.02  										| (167) visFreeVar(all_27_10_26, all_27_5_21)
% 47.95/14.02  										|
% 47.95/14.02  										| Instantiating formula (74) with all_27_5_21, all_27_10_26 and discharging atoms vgensym(all_27_5_21) = all_27_10_26, visFreeVar(all_27_10_26, all_27_5_21), yields:
% 47.95/14.02  										| (152) $false
% 47.95/14.02  										|
% 47.95/14.02  										|-The branch is then unsatisfiable
% 47.95/14.02  								|-Branch two:
% 47.95/14.02  								| (163)  ~ visFreeVar(all_27_10_26, all_0_6_6)
% 47.95/14.02  								| (170) all_27_10_26 = all_0_7_7
% 47.95/14.02  								|
% 47.95/14.02  									| Equations (170) can reduce 146 to:
% 47.95/14.02  									| (171) $false
% 47.95/14.02  									|
% 47.95/14.02  									|-The branch is then unsatisfiable
% 47.95/14.02  						|-Branch two:
% 47.95/14.02  						| (151) visFreeVar(all_27_10_26, veabs)
% 47.95/14.02  						| (173)  ? [v0] : ( ~ (v0 = all_27_10_26) & vgensym(all_27_5_21) = v0)
% 47.95/14.02  						|
% 47.95/14.02  							| Instantiating (173) with all_101_0_63 yields:
% 47.95/14.02  							| (174)  ~ (all_101_0_63 = all_27_10_26) & vgensym(all_27_5_21) = all_101_0_63
% 47.95/14.02  							|
% 47.95/14.02  							| Applying alpha-rule on (174) yields:
% 47.95/14.02  							| (175)  ~ (all_101_0_63 = all_27_10_26)
% 47.95/14.02  							| (176) vgensym(all_27_5_21) = all_101_0_63
% 47.95/14.02  							|
% 47.95/14.02  							| Instantiating formula (49) with all_27_5_21, all_101_0_63, all_27_10_26 and discharging atoms vgensym(all_27_5_21) = all_101_0_63, vgensym(all_27_5_21) = all_27_10_26, yields:
% 47.95/14.02  							| (177) all_101_0_63 = all_27_10_26
% 47.95/14.02  							|
% 47.95/14.02  							| Equations (177) can reduce 175 to:
% 47.95/14.02  							| (171) $false
% 47.95/14.02  							|
% 47.95/14.02  							|-The branch is then unsatisfiable
% 47.95/14.02  					|-Branch two:
% 47.95/14.02  					| (179) all_27_7_23 = all_0_0_0 & all_27_9_25 = all_0_1_1 & all_27_11_27 = all_0_6_6 & all_27_12_28 = all_0_7_7 &  ~ (all_27_14_30 = all_0_7_7) & vsubst(all_0_7_7, all_0_6_6, all_27_10_26) = all_27_8_24 & vabs(all_27_14_30, all_27_13_29, all_27_8_24) = all_0_0_0 & vabs(all_27_14_30, all_27_13_29, all_27_10_26) = all_0_1_1 &  ~ visFreeVar(all_27_14_30, all_0_6_6)
% 47.95/14.02  					|
% 47.95/14.02  						| Applying alpha-rule on (179) yields:
% 47.95/14.02  						| (180)  ~ (all_27_14_30 = all_0_7_7)
% 47.95/14.02  						| (181) vsubst(all_0_7_7, all_0_6_6, all_27_10_26) = all_27_8_24
% 47.95/14.02  						| (182)  ~ visFreeVar(all_27_14_30, all_0_6_6)
% 47.95/14.02  						| (183) vabs(all_27_14_30, all_27_13_29, all_27_8_24) = all_0_0_0
% 47.95/14.02  						| (184) all_27_7_23 = all_0_0_0
% 47.95/14.02  						| (185) vabs(all_27_14_30, all_27_13_29, all_27_10_26) = all_0_1_1
% 47.95/14.02  						| (186) all_27_9_25 = all_0_1_1
% 47.95/14.02  						| (187) all_27_11_27 = all_0_6_6
% 47.95/14.02  						| (188) all_27_12_28 = all_0_7_7
% 47.95/14.02  						|
% 47.95/14.02  						| Instantiating formula (60) with all_0_1_1, all_27_10_26, all_27_13_29, all_27_14_30, veabs, all_0_4_4, all_0_5_5 and discharging atoms vabs(all_27_14_30, all_27_13_29, all_27_10_26) = all_0_1_1, vabs(all_0_5_5, all_0_4_4, veabs) = all_0_1_1, yields:
% 47.95/14.02  						| (189) all_27_14_30 = all_0_5_5
% 47.95/14.02  						|
% 47.95/14.02  						| Using (30) and (182) yields:
% 47.95/14.02  						| (190)  ~ (all_27_14_30 = all_0_5_5)
% 47.95/14.02  						|
% 47.95/14.02  						| Equations (189) can reduce 190 to:
% 47.95/14.02  						| (171) $false
% 47.95/14.02  						|
% 47.95/14.02  						|-The branch is then unsatisfiable
% 47.95/14.02  				|-Branch two:
% 47.95/14.02  				| (192) all_27_7_23 = all_0_0_0 & all_27_10_26 = all_0_1_1 & all_27_12_28 = all_0_6_6 & all_27_13_29 = all_0_7_7 & vsubst(all_0_7_7, all_0_6_6, all_27_11_27) = all_27_8_24 & vsubst(all_0_7_7, all_0_6_6, all_27_14_30) = all_27_9_25 & vapp(all_27_9_25, all_27_8_24) = all_0_0_0 & vapp(all_27_14_30, all_27_11_27) = all_0_1_1
% 47.95/14.02  				|
% 47.95/14.02  					| Applying alpha-rule on (192) yields:
% 47.95/14.02  					| (193) all_27_13_29 = all_0_7_7
% 47.95/14.02  					| (194) vsubst(all_0_7_7, all_0_6_6, all_27_11_27) = all_27_8_24
% 47.95/14.02  					| (195) vapp(all_27_9_25, all_27_8_24) = all_0_0_0
% 47.95/14.02  					| (184) all_27_7_23 = all_0_0_0
% 47.95/14.02  					| (197) all_27_12_28 = all_0_6_6
% 47.95/14.02  					| (198) vsubst(all_0_7_7, all_0_6_6, all_27_14_30) = all_27_9_25
% 47.95/14.02  					| (199) vapp(all_27_14_30, all_27_11_27) = all_0_1_1
% 47.95/14.02  					| (200) all_27_10_26 = all_0_1_1
% 47.95/14.02  					|
% 47.95/14.02  					| Instantiating formula (28) with all_0_1_1, all_27_11_27, all_27_14_30 and discharging atoms vapp(all_27_14_30, all_27_11_27) = all_0_1_1, visValue(all_0_1_1), yields:
% 47.95/14.02  					| (152) $false
% 47.95/14.02  					|
% 47.95/14.02  					|-The branch is then unsatisfiable
% 47.95/14.02  			|-Branch two:
% 47.95/14.02  			| (202) all_27_9_25 = all_0_1_1 & all_27_12_28 = all_0_7_7 & all_27_13_29 = all_0_7_7 & all_27_14_30 = all_0_6_6 & all_0_0_0 = all_0_1_1 & vabs(all_0_7_7, all_27_11_27, all_27_10_26) = all_0_1_1
% 47.95/14.02  			|
% 47.95/14.02  				| Applying alpha-rule on (202) yields:
% 47.95/14.02  				| (193) all_27_13_29 = all_0_7_7
% 47.95/14.02  				| (204) all_0_0_0 = all_0_1_1
% 47.95/14.02  				| (205) vabs(all_0_7_7, all_27_11_27, all_27_10_26) = all_0_1_1
% 47.95/14.02  				| (186) all_27_9_25 = all_0_1_1
% 47.95/14.02  				| (207) all_27_14_30 = all_0_6_6
% 47.95/14.02  				| (188) all_27_12_28 = all_0_7_7
% 47.95/14.02  				|
% 47.95/14.02  				| Equations (204) can reduce 111 to:
% 47.95/14.02  				| (171) $false
% 47.95/14.02  				|
% 47.95/14.02  				|-The branch is then unsatisfiable
% 47.95/14.02  		|-Branch two:
% 47.95/14.02  		| (210) all_27_11_27 = all_0_1_1 & all_27_12_28 = all_0_6_6 & all_27_13_29 = all_0_7_7 & all_27_14_30 = all_0_7_7 & all_0_0_0 = all_0_6_6 & vvar(all_0_7_7) = all_0_1_1
% 47.95/14.02  		|
% 47.95/14.02  			| Applying alpha-rule on (210) yields:
% 47.95/14.02  			| (193) all_27_13_29 = all_0_7_7
% 47.95/14.02  			| (117) all_27_14_30 = all_0_7_7
% 47.95/14.02  			| (213) all_27_11_27 = all_0_1_1
% 47.95/14.02  			| (214) all_0_0_0 = all_0_6_6
% 47.95/14.02  			| (197) all_27_12_28 = all_0_6_6
% 47.95/14.02  			| (216) vvar(all_0_7_7) = all_0_1_1
% 47.95/14.02  			|
% 47.95/14.02  			| Instantiating formula (90) with all_0_1_1, all_0_7_7 and discharging atoms vvar(all_0_7_7) = all_0_1_1, visValue(all_0_1_1), yields:
% 47.95/14.02  			| (152) $false
% 47.95/14.02  			|
% 47.95/14.02  			|-The branch is then unsatisfiable
% 47.95/14.02  	|-Branch two:
% 47.95/14.02  	| (218) all_27_11_27 = all_0_1_1 & all_27_13_29 = all_0_7_7 & all_27_14_30 = all_0_6_6 & all_0_0_0 = all_0_1_1 &  ~ (all_27_12_28 = all_0_7_7) & vvar(all_27_12_28) = all_0_1_1
% 47.95/14.02  	|
% 47.95/14.02  		| Applying alpha-rule on (218) yields:
% 47.95/14.02  		| (193) all_27_13_29 = all_0_7_7
% 47.95/14.02  		| (204) all_0_0_0 = all_0_1_1
% 47.95/14.02  		| (213) all_27_11_27 = all_0_1_1
% 47.95/14.02  		| (222) vvar(all_27_12_28) = all_0_1_1
% 47.95/14.02  		| (207) all_27_14_30 = all_0_6_6
% 47.95/14.02  		| (224)  ~ (all_27_12_28 = all_0_7_7)
% 47.95/14.02  		|
% 47.95/14.02  		| Equations (204) can reduce 111 to:
% 47.95/14.02  		| (171) $false
% 47.95/14.02  		|
% 47.95/14.02  		|-The branch is then unsatisfiable
% 47.95/14.02  |-Branch two:
% 47.95/14.02  | (226)  ~ vtcheck(all_0_8_8, all_0_1_1, all_0_3_3)
% 47.95/14.02  | (227) visFreeVar(all_0_7_7, all_0_1_1)
% 47.95/14.02  |
% 47.95/14.02  	+-Applying beta-rule and splitting (109), into two cases.
% 47.95/14.02  	|-Branch one:
% 47.95/14.02  	| (112) (all_27_0_16 = all_0_0_0 & all_27_4_20 = all_27_10_26 & all_27_8_24 = all_0_1_1 & all_27_13_29 = all_0_6_6 & all_27_14_30 = all_0_7_7 &  ~ (all_27_11_27 = all_0_7_7) & vsubst(all_27_11_27, all_27_3_19, all_27_9_25) = all_27_2_18 & vsubst(all_0_7_7, all_0_6_6, all_27_1_17) = all_0_0_0 & vgensym(all_27_5_21) = all_27_10_26 & vapp(all_27_7_23, all_27_6_22) = all_27_5_21 & vapp(all_0_6_6, all_27_9_25) = all_27_7_23 & vabs(all_27_10_26, all_27_12_28, all_27_2_18) = all_27_1_17 & vabs(all_27_11_27, all_27_12_28, all_27_9_25) = all_0_1_1 & vvar(all_27_10_26) = all_27_3_19 & vvar(all_0_7_7) = all_27_6_22 & visFreeVar(all_27_11_27, all_0_6_6)) | (all_27_7_23 = all_0_0_0 & all_27_9_25 = all_0_1_1 & all_27_11_27 = all_0_6_6 & all_27_12_28 = all_0_7_7 &  ~ (all_27_14_30 = all_0_7_7) & vsubst(all_0_7_7, all_0_6_6, all_27_10_26) = all_27_8_24 & vabs(all_27_14_30, all_27_13_29, all_27_8_24) = all_0_0_0 & vabs(all_27_14_30, all_27_13_29, all_27_10_26) = all_0_1_1 &  ~ visFreeVar(all_27_14_30, all_0_6_6)) | (all_27_7_23 = all_0_0_0 & all_27_10_26 = all_0_1_1 & all_27_12_28 = all_0_6_6 & all_27_13_29 = all_0_7_7 & vsubst(all_0_7_7, all_0_6_6, all_27_11_27) = all_27_8_24 & vsubst(all_0_7_7, all_0_6_6, all_27_14_30) = all_27_9_25 & vapp(all_27_9_25, all_27_8_24) = all_0_0_0 & vapp(all_27_14_30, all_27_11_27) = all_0_1_1) | (all_27_9_25 = all_0_1_1 & all_27_12_28 = all_0_7_7 & all_27_13_29 = all_0_7_7 & all_27_14_30 = all_0_6_6 & all_0_0_0 = all_0_1_1 & vabs(all_0_7_7, all_27_11_27, all_27_10_26) = all_0_1_1) | (all_27_11_27 = all_0_1_1 & all_27_12_28 = all_0_6_6 & all_27_13_29 = all_0_7_7 & all_27_14_30 = all_0_7_7 & all_0_0_0 = all_0_6_6 & vvar(all_0_7_7) = all_0_1_1)
% 47.95/14.02  	|
% 47.95/14.02  		+-Applying beta-rule and splitting (112), into two cases.
% 47.95/14.02  		|-Branch one:
% 47.95/14.02  		| (113) (all_27_0_16 = all_0_0_0 & all_27_4_20 = all_27_10_26 & all_27_8_24 = all_0_1_1 & all_27_13_29 = all_0_6_6 & all_27_14_30 = all_0_7_7 &  ~ (all_27_11_27 = all_0_7_7) & vsubst(all_27_11_27, all_27_3_19, all_27_9_25) = all_27_2_18 & vsubst(all_0_7_7, all_0_6_6, all_27_1_17) = all_0_0_0 & vgensym(all_27_5_21) = all_27_10_26 & vapp(all_27_7_23, all_27_6_22) = all_27_5_21 & vapp(all_0_6_6, all_27_9_25) = all_27_7_23 & vabs(all_27_10_26, all_27_12_28, all_27_2_18) = all_27_1_17 & vabs(all_27_11_27, all_27_12_28, all_27_9_25) = all_0_1_1 & vvar(all_27_10_26) = all_27_3_19 & vvar(all_0_7_7) = all_27_6_22 & visFreeVar(all_27_11_27, all_0_6_6)) | (all_27_7_23 = all_0_0_0 & all_27_9_25 = all_0_1_1 & all_27_11_27 = all_0_6_6 & all_27_12_28 = all_0_7_7 &  ~ (all_27_14_30 = all_0_7_7) & vsubst(all_0_7_7, all_0_6_6, all_27_10_26) = all_27_8_24 & vabs(all_27_14_30, all_27_13_29, all_27_8_24) = all_0_0_0 & vabs(all_27_14_30, all_27_13_29, all_27_10_26) = all_0_1_1 &  ~ visFreeVar(all_27_14_30, all_0_6_6)) | (all_27_7_23 = all_0_0_0 & all_27_10_26 = all_0_1_1 & all_27_12_28 = all_0_6_6 & all_27_13_29 = all_0_7_7 & vsubst(all_0_7_7, all_0_6_6, all_27_11_27) = all_27_8_24 & vsubst(all_0_7_7, all_0_6_6, all_27_14_30) = all_27_9_25 & vapp(all_27_9_25, all_27_8_24) = all_0_0_0 & vapp(all_27_14_30, all_27_11_27) = all_0_1_1) | (all_27_9_25 = all_0_1_1 & all_27_12_28 = all_0_7_7 & all_27_13_29 = all_0_7_7 & all_27_14_30 = all_0_6_6 & all_0_0_0 = all_0_1_1 & vabs(all_0_7_7, all_27_11_27, all_27_10_26) = all_0_1_1)
% 47.95/14.03  		|
% 47.95/14.03  			+-Applying beta-rule and splitting (113), into two cases.
% 47.95/14.03  			|-Branch one:
% 47.95/14.03  			| (114) (all_27_0_16 = all_0_0_0 & all_27_4_20 = all_27_10_26 & all_27_8_24 = all_0_1_1 & all_27_13_29 = all_0_6_6 & all_27_14_30 = all_0_7_7 &  ~ (all_27_11_27 = all_0_7_7) & vsubst(all_27_11_27, all_27_3_19, all_27_9_25) = all_27_2_18 & vsubst(all_0_7_7, all_0_6_6, all_27_1_17) = all_0_0_0 & vgensym(all_27_5_21) = all_27_10_26 & vapp(all_27_7_23, all_27_6_22) = all_27_5_21 & vapp(all_0_6_6, all_27_9_25) = all_27_7_23 & vabs(all_27_10_26, all_27_12_28, all_27_2_18) = all_27_1_17 & vabs(all_27_11_27, all_27_12_28, all_27_9_25) = all_0_1_1 & vvar(all_27_10_26) = all_27_3_19 & vvar(all_0_7_7) = all_27_6_22 & visFreeVar(all_27_11_27, all_0_6_6)) | (all_27_7_23 = all_0_0_0 & all_27_9_25 = all_0_1_1 & all_27_11_27 = all_0_6_6 & all_27_12_28 = all_0_7_7 &  ~ (all_27_14_30 = all_0_7_7) & vsubst(all_0_7_7, all_0_6_6, all_27_10_26) = all_27_8_24 & vabs(all_27_14_30, all_27_13_29, all_27_8_24) = all_0_0_0 & vabs(all_27_14_30, all_27_13_29, all_27_10_26) = all_0_1_1 &  ~ visFreeVar(all_27_14_30, all_0_6_6)) | (all_27_7_23 = all_0_0_0 & all_27_10_26 = all_0_1_1 & all_27_12_28 = all_0_6_6 & all_27_13_29 = all_0_7_7 & vsubst(all_0_7_7, all_0_6_6, all_27_11_27) = all_27_8_24 & vsubst(all_0_7_7, all_0_6_6, all_27_14_30) = all_27_9_25 & vapp(all_27_9_25, all_27_8_24) = all_0_0_0 & vapp(all_27_14_30, all_27_11_27) = all_0_1_1)
% 47.95/14.03  			|
% 47.95/14.03  				+-Applying beta-rule and splitting (114), into two cases.
% 47.95/14.03  				|-Branch one:
% 47.95/14.03  				| (115) (all_27_0_16 = all_0_0_0 & all_27_4_20 = all_27_10_26 & all_27_8_24 = all_0_1_1 & all_27_13_29 = all_0_6_6 & all_27_14_30 = all_0_7_7 &  ~ (all_27_11_27 = all_0_7_7) & vsubst(all_27_11_27, all_27_3_19, all_27_9_25) = all_27_2_18 & vsubst(all_0_7_7, all_0_6_6, all_27_1_17) = all_0_0_0 & vgensym(all_27_5_21) = all_27_10_26 & vapp(all_27_7_23, all_27_6_22) = all_27_5_21 & vapp(all_0_6_6, all_27_9_25) = all_27_7_23 & vabs(all_27_10_26, all_27_12_28, all_27_2_18) = all_27_1_17 & vabs(all_27_11_27, all_27_12_28, all_27_9_25) = all_0_1_1 & vvar(all_27_10_26) = all_27_3_19 & vvar(all_0_7_7) = all_27_6_22 & visFreeVar(all_27_11_27, all_0_6_6)) | (all_27_7_23 = all_0_0_0 & all_27_9_25 = all_0_1_1 & all_27_11_27 = all_0_6_6 & all_27_12_28 = all_0_7_7 &  ~ (all_27_14_30 = all_0_7_7) & vsubst(all_0_7_7, all_0_6_6, all_27_10_26) = all_27_8_24 & vabs(all_27_14_30, all_27_13_29, all_27_8_24) = all_0_0_0 & vabs(all_27_14_30, all_27_13_29, all_27_10_26) = all_0_1_1 &  ~ visFreeVar(all_27_14_30, all_0_6_6))
% 47.95/14.03  				|
% 47.95/14.03  					+-Applying beta-rule and splitting (115), into two cases.
% 47.95/14.03  					|-Branch one:
% 47.95/14.03  					| (116) all_27_0_16 = all_0_0_0 & all_27_4_20 = all_27_10_26 & all_27_8_24 = all_0_1_1 & all_27_13_29 = all_0_6_6 & all_27_14_30 = all_0_7_7 &  ~ (all_27_11_27 = all_0_7_7) & vsubst(all_27_11_27, all_27_3_19, all_27_9_25) = all_27_2_18 & vsubst(all_0_7_7, all_0_6_6, all_27_1_17) = all_0_0_0 & vgensym(all_27_5_21) = all_27_10_26 & vapp(all_27_7_23, all_27_6_22) = all_27_5_21 & vapp(all_0_6_6, all_27_9_25) = all_27_7_23 & vabs(all_27_10_26, all_27_12_28, all_27_2_18) = all_27_1_17 & vabs(all_27_11_27, all_27_12_28, all_27_9_25) = all_0_1_1 & vvar(all_27_10_26) = all_27_3_19 & vvar(all_0_7_7) = all_27_6_22 & visFreeVar(all_27_11_27, all_0_6_6)
% 47.95/14.03  					|
% 47.95/14.03  						| Applying alpha-rule on (116) yields:
% 47.95/14.03  						| (117) all_27_14_30 = all_0_7_7
% 47.95/14.03  						| (118) vvar(all_27_10_26) = all_27_3_19
% 47.95/14.03  						| (119) vsubst(all_0_7_7, all_0_6_6, all_27_1_17) = all_0_0_0
% 47.95/14.03  						| (120) vapp(all_27_7_23, all_27_6_22) = all_27_5_21
% 47.95/14.03  						| (121) all_27_8_24 = all_0_1_1
% 47.95/14.03  						| (122) vsubst(all_27_11_27, all_27_3_19, all_27_9_25) = all_27_2_18
% 47.95/14.03  						| (123) all_27_13_29 = all_0_6_6
% 47.95/14.03  						| (124) vgensym(all_27_5_21) = all_27_10_26
% 47.95/14.03  						| (125) visFreeVar(all_27_11_27, all_0_6_6)
% 47.95/14.03  						| (126) vvar(all_0_7_7) = all_27_6_22
% 47.95/14.03  						| (127) all_27_0_16 = all_0_0_0
% 47.95/14.03  						| (128)  ~ (all_27_11_27 = all_0_7_7)
% 47.95/14.03  						| (129) all_27_4_20 = all_27_10_26
% 47.95/14.03  						| (130) vabs(all_27_11_27, all_27_12_28, all_27_9_25) = all_0_1_1
% 47.95/14.03  						| (131) vabs(all_27_10_26, all_27_12_28, all_27_2_18) = all_27_1_17
% 47.95/14.03  						| (132) vapp(all_0_6_6, all_27_9_25) = all_27_7_23
% 47.95/14.03  						|
% 47.95/14.03  						| Instantiating formula (89) with all_0_1_1, all_27_9_25, all_27_12_28, all_27_11_27, veabs, all_0_4_4, all_0_5_5 and discharging atoms vabs(all_27_11_27, all_27_12_28, all_27_9_25) = all_0_1_1, vabs(all_0_5_5, all_0_4_4, veabs) = all_0_1_1, yields:
% 47.95/14.03  						| (133) all_27_9_25 = veabs
% 47.95/14.03  						|
% 47.95/14.03  						| Instantiating formula (6) with all_0_1_1, all_27_9_25, all_27_12_28, all_27_11_27, veabs, all_0_4_4, all_0_5_5 and discharging atoms vabs(all_27_11_27, all_27_12_28, all_27_9_25) = all_0_1_1, vabs(all_0_5_5, all_0_4_4, veabs) = all_0_1_1, yields:
% 47.95/14.03  						| (134) all_27_12_28 = all_0_4_4
% 47.95/14.03  						|
% 47.95/14.03  						| Instantiating formula (60) with all_0_1_1, all_27_9_25, all_27_12_28, all_27_11_27, veabs, all_0_4_4, all_0_5_5 and discharging atoms vabs(all_27_11_27, all_27_12_28, all_27_9_25) = all_0_1_1, vabs(all_0_5_5, all_0_4_4, veabs) = all_0_1_1, yields:
% 47.95/14.03  						| (135) all_27_11_27 = all_0_5_5
% 47.95/14.03  						|
% 47.95/14.03  						| From (135)(133) and (122) follows:
% 47.95/14.03  						| (136) vsubst(all_0_5_5, all_27_3_19, veabs) = all_27_2_18
% 47.95/14.03  						|
% 47.95/14.03  						| From (133) and (132) follows:
% 47.95/14.03  						| (137) vapp(all_0_6_6, veabs) = all_27_7_23
% 47.95/14.03  						|
% 47.95/14.03  						| From (134) and (131) follows:
% 47.95/14.03  						| (138) vabs(all_27_10_26, all_0_4_4, all_27_2_18) = all_27_1_17
% 47.95/14.03  						|
% 47.95/14.03  						| From (135)(134)(133) and (130) follows:
% 47.95/14.03  						| (23) vabs(all_0_5_5, all_0_4_4, veabs) = all_0_1_1
% 47.95/14.03  						|
% 47.95/14.03  						| Instantiating formula (72) with all_0_0_0, all_27_1_17, all_0_6_6, all_0_7_7 and discharging atoms vsubst(all_0_7_7, all_0_6_6, all_27_1_17) = all_0_0_0, yields:
% 47.95/14.03  						| (256)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] : ((v14 = all_0_0_0 & v10 = v4 & v6 = all_27_1_17 & v1 = all_0_6_6 & v0 = all_0_7_7 &  ~ (v3 = all_0_7_7) & vsubst(v3, v11, v5) = v12 & vsubst(all_0_7_7, all_0_6_6, v13) = all_0_0_0 & vgensym(v9) = v4 & vapp(v7, v8) = v9 & vapp(all_0_6_6, v5) = v7 & vabs(v4, v2, v12) = v13 & vabs(v3, v2, v5) = all_27_1_17 & vvar(v4) = v11 & vvar(all_0_7_7) = v8 & visFreeVar(v3, all_0_6_6)) | (v7 = all_0_0_0 & v5 = all_27_1_17 & v3 = all_0_6_6 & v2 = all_0_7_7 &  ~ (v0 = all_0_7_7) & vsubst(all_0_7_7, all_0_6_6, v4) = v6 & vabs(v0, v1, v6) = all_0_0_0 & vabs(v0, v1, v4) = all_27_1_17 &  ~ visFreeVar(v0, all_0_6_6)) | (v7 = all_0_0_0 & v4 = all_27_1_17 & v2 = all_0_6_6 & v1 = all_0_7_7 & vsubst(all_0_7_7, all_0_6_6, v3) = v6 & vsubst(all_0_7_7, all_0_6_6, v0) = v5 & vapp(v5, v6) = all_0_0_0 & vapp(v0, v3) = all_27_1_17) | (v5 = all_0_0_0 & v2 = all_0_7_7 & v1 = all_0_7_7 & v0 = all_0_6_6 & all_27_1_17 = all_0_0_0 & vabs(all_0_7_7, v3, v4) = all_0_0_0) | (v3 = all_27_1_17 & v2 = all_0_6_6 & v1 = all_0_7_7 & v0 = all_0_7_7 & all_0_0_0 = all_0_6_6 & vvar(all_0_7_7) = all_27_1_17) | (v3 = all_0_0_0 & v1 = all_0_7_7 & v0 = all_0_6_6 & all_27_1_17 = all_0_0_0 &  ~ (v2 = all_0_7_7) & vvar(v2) = all_0_0_0))
% 47.95/14.03  						|
% 47.95/14.03  						| Instantiating formula (61) with all_27_1_17, all_27_2_18, all_0_4_4, all_27_10_26 and discharging atoms vabs(all_27_10_26, all_0_4_4, all_27_2_18) = all_27_1_17, yields:
% 47.95/14.03  						| (257) visValue(all_27_1_17)
% 47.95/14.03  						|
% 47.95/14.03  						| Instantiating formula (48) with all_27_1_17, all_27_2_18, all_27_3_19, veabs, all_27_10_26, all_0_5_5, all_0_4_4 and discharging atoms vsubst(all_0_5_5, all_27_3_19, veabs) = all_27_2_18, vabs(all_27_10_26, all_0_4_4, all_27_2_18) = all_27_1_17, vvar(all_27_10_26) = all_27_3_19, yields:
% 47.95/14.03  						| (140) visFreeVar(all_27_10_26, veabs) |  ? [v0] : (vabs(all_0_5_5, all_0_4_4, veabs) = v0 & valphaEquivalent(v0, all_27_1_17))
% 47.95/14.03  						|
% 47.95/14.03  						| Instantiating formula (82) with all_27_5_21, all_27_6_22, all_27_7_23, all_0_7_7, veabs, all_0_6_6 and discharging atoms vapp(all_27_7_23, all_27_6_22) = all_27_5_21, vapp(all_0_6_6, veabs) = all_27_7_23, vvar(all_0_7_7) = all_27_6_22, yields:
% 47.95/14.03  						| (141)  ? [v0] : ( ~ (v0 = all_0_7_7) & vgensym(all_27_5_21) = v0)
% 47.95/14.03  						|
% 47.95/14.03  						| Instantiating (256) with all_77_0_64, all_77_1_65, all_77_2_66, all_77_3_67, all_77_4_68, all_77_5_69, all_77_6_70, all_77_7_71, all_77_8_72, all_77_9_73, all_77_10_74, all_77_11_75, all_77_12_76, all_77_13_77, all_77_14_78 yields:
% 47.95/14.03  						| (260) (all_77_0_64 = all_0_0_0 & all_77_4_68 = all_77_10_74 & all_77_8_72 = all_27_1_17 & all_77_13_77 = all_0_6_6 & all_77_14_78 = all_0_7_7 &  ~ (all_77_11_75 = all_0_7_7) & vsubst(all_77_11_75, all_77_3_67, all_77_9_73) = all_77_2_66 & vsubst(all_0_7_7, all_0_6_6, all_77_1_65) = all_0_0_0 & vgensym(all_77_5_69) = all_77_10_74 & vapp(all_77_7_71, all_77_6_70) = all_77_5_69 & vapp(all_0_6_6, all_77_9_73) = all_77_7_71 & vabs(all_77_10_74, all_77_12_76, all_77_2_66) = all_77_1_65 & vabs(all_77_11_75, all_77_12_76, all_77_9_73) = all_27_1_17 & vvar(all_77_10_74) = all_77_3_67 & vvar(all_0_7_7) = all_77_6_70 & visFreeVar(all_77_11_75, all_0_6_6)) | (all_77_7_71 = all_0_0_0 & all_77_9_73 = all_27_1_17 & all_77_11_75 = all_0_6_6 & all_77_12_76 = all_0_7_7 &  ~ (all_77_14_78 = all_0_7_7) & vsubst(all_0_7_7, all_0_6_6, all_77_10_74) = all_77_8_72 & vabs(all_77_14_78, all_77_13_77, all_77_8_72) = all_0_0_0 & vabs(all_77_14_78, all_77_13_77, all_77_10_74) = all_27_1_17 &  ~ visFreeVar(all_77_14_78, all_0_6_6)) | (all_77_7_71 = all_0_0_0 & all_77_10_74 = all_27_1_17 & all_77_12_76 = all_0_6_6 & all_77_13_77 = all_0_7_7 & vsubst(all_0_7_7, all_0_6_6, all_77_11_75) = all_77_8_72 & vsubst(all_0_7_7, all_0_6_6, all_77_14_78) = all_77_9_73 & vapp(all_77_9_73, all_77_8_72) = all_0_0_0 & vapp(all_77_14_78, all_77_11_75) = all_27_1_17) | (all_77_9_73 = all_0_0_0 & all_77_12_76 = all_0_7_7 & all_77_13_77 = all_0_7_7 & all_77_14_78 = all_0_6_6 & all_27_1_17 = all_0_0_0 & vabs(all_0_7_7, all_77_11_75, all_77_10_74) = all_0_0_0) | (all_77_11_75 = all_27_1_17 & all_77_12_76 = all_0_6_6 & all_77_13_77 = all_0_7_7 & all_77_14_78 = all_0_7_7 & all_0_0_0 = all_0_6_6 & vvar(all_0_7_7) = all_27_1_17) | (all_77_11_75 = all_0_0_0 & all_77_13_77 = all_0_7_7 & all_77_14_78 = all_0_6_6 & all_27_1_17 = all_0_0_0 &  ~ (all_77_12_76 = all_0_7_7) & vvar(all_77_12_76) = all_0_0_0)
% 47.95/14.03  						|
% 47.95/14.03  						| Instantiating (141) with all_78_0_79 yields:
% 47.95/14.03  						| (261)  ~ (all_78_0_79 = all_0_7_7) & vgensym(all_27_5_21) = all_78_0_79
% 47.95/14.03  						|
% 47.95/14.03  						| Applying alpha-rule on (261) yields:
% 47.95/14.03  						| (262)  ~ (all_78_0_79 = all_0_7_7)
% 47.95/14.03  						| (263) vgensym(all_27_5_21) = all_78_0_79
% 47.95/14.03  						|
% 47.95/14.03  						| Instantiating formula (49) with all_27_5_21, all_78_0_79, all_27_10_26 and discharging atoms vgensym(all_27_5_21) = all_78_0_79, vgensym(all_27_5_21) = all_27_10_26, yields:
% 47.95/14.03  						| (264) all_78_0_79 = all_27_10_26
% 47.95/14.03  						|
% 47.95/14.03  						| Equations (264) can reduce 262 to:
% 47.95/14.03  						| (146)  ~ (all_27_10_26 = all_0_7_7)
% 47.95/14.03  						|
% 47.95/14.03  						| From (264) and (263) follows:
% 47.95/14.03  						| (124) vgensym(all_27_5_21) = all_27_10_26
% 47.95/14.03  						|
% 47.95/14.03  						| Instantiating formula (2) with veabs, all_0_6_6, all_27_7_23, all_27_10_26 and discharging atoms vapp(all_0_6_6, veabs) = all_27_7_23, yields:
% 47.95/14.03  						| (149)  ~ visFreeVar(all_27_10_26, all_0_6_6) | visFreeVar(all_27_10_26, all_27_7_23)
% 47.95/14.03  						|
% 47.95/14.03  						+-Applying beta-rule and splitting (140), into two cases.
% 47.95/14.03  						|-Branch one:
% 47.95/14.03  						| (151) visFreeVar(all_27_10_26, veabs)
% 47.95/14.03  						|
% 47.95/14.03  							| Instantiating formula (55) with all_27_5_21, all_27_6_22, all_27_7_23, veabs, all_27_10_26, all_0_7_7, all_0_6_6 and discharging atoms vapp(all_27_7_23, all_27_6_22) = all_27_5_21, vapp(all_0_6_6, veabs) = all_27_7_23, vvar(all_0_7_7) = all_27_6_22, visFreeVar(all_27_10_26, veabs), yields:
% 47.95/14.03  							| (173)  ? [v0] : ( ~ (v0 = all_27_10_26) & vgensym(all_27_5_21) = v0)
% 47.95/14.03  							|
% 47.95/14.03  							| Instantiating (173) with all_313_0_95 yields:
% 47.95/14.03  							| (270)  ~ (all_313_0_95 = all_27_10_26) & vgensym(all_27_5_21) = all_313_0_95
% 47.95/14.03  							|
% 47.95/14.03  							| Applying alpha-rule on (270) yields:
% 47.95/14.03  							| (271)  ~ (all_313_0_95 = all_27_10_26)
% 47.95/14.03  							| (272) vgensym(all_27_5_21) = all_313_0_95
% 47.95/14.03  							|
% 47.95/14.03  							| Instantiating formula (49) with all_27_5_21, all_313_0_95, all_27_10_26 and discharging atoms vgensym(all_27_5_21) = all_313_0_95, vgensym(all_27_5_21) = all_27_10_26, yields:
% 47.95/14.03  							| (273) all_313_0_95 = all_27_10_26
% 47.95/14.03  							|
% 47.95/14.03  							| Equations (273) can reduce 271 to:
% 47.95/14.03  							| (171) $false
% 47.95/14.03  							|
% 47.95/14.03  							|-The branch is then unsatisfiable
% 47.95/14.03  						|-Branch two:
% 47.95/14.03  						| (150)  ~ visFreeVar(all_27_10_26, veabs)
% 47.95/14.03  						| (154)  ? [v0] : (vabs(all_0_5_5, all_0_4_4, veabs) = v0 & valphaEquivalent(v0, all_27_1_17))
% 47.95/14.03  						|
% 47.95/14.03  							| Instantiating (154) with all_299_0_96 yields:
% 47.95/14.03  							| (277) vabs(all_0_5_5, all_0_4_4, veabs) = all_299_0_96 & valphaEquivalent(all_299_0_96, all_27_1_17)
% 47.95/14.04  							|
% 47.95/14.04  							| Applying alpha-rule on (277) yields:
% 47.95/14.04  							| (278) vabs(all_0_5_5, all_0_4_4, veabs) = all_299_0_96
% 47.95/14.04  							| (279) valphaEquivalent(all_299_0_96, all_27_1_17)
% 47.95/14.04  							|
% 47.95/14.04  							| Instantiating formula (92) with all_299_0_96, all_0_1_1, veabs, all_0_4_4, all_0_5_5 and discharging atoms vabs(all_0_5_5, all_0_4_4, veabs) = all_299_0_96, vabs(all_0_5_5, all_0_4_4, veabs) = all_0_1_1, yields:
% 47.95/14.04  							| (280) all_299_0_96 = all_0_1_1
% 47.95/14.04  							|
% 47.95/14.04  							| From (280) and (279) follows:
% 47.95/14.04  							| (159) valphaEquivalent(all_0_1_1, all_27_1_17)
% 47.95/14.04  							|
% 47.95/14.04  							| Instantiating formula (102) with all_0_3_3, all_27_1_17, all_0_2_2, all_0_1_1 and discharging atoms valphaEquivalent(all_0_1_1, all_27_1_17), vtcheck(all_0_2_2, all_0_1_1, all_0_3_3), yields:
% 47.95/14.04  							| (160) vtcheck(all_0_2_2, all_27_1_17, all_0_3_3)
% 47.95/14.04  							|
% 47.95/14.04  							+-Applying beta-rule and splitting (260), into two cases.
% 47.95/14.04  							|-Branch one:
% 47.95/14.04  							| (283) (all_77_0_64 = all_0_0_0 & all_77_4_68 = all_77_10_74 & all_77_8_72 = all_27_1_17 & all_77_13_77 = all_0_6_6 & all_77_14_78 = all_0_7_7 &  ~ (all_77_11_75 = all_0_7_7) & vsubst(all_77_11_75, all_77_3_67, all_77_9_73) = all_77_2_66 & vsubst(all_0_7_7, all_0_6_6, all_77_1_65) = all_0_0_0 & vgensym(all_77_5_69) = all_77_10_74 & vapp(all_77_7_71, all_77_6_70) = all_77_5_69 & vapp(all_0_6_6, all_77_9_73) = all_77_7_71 & vabs(all_77_10_74, all_77_12_76, all_77_2_66) = all_77_1_65 & vabs(all_77_11_75, all_77_12_76, all_77_9_73) = all_27_1_17 & vvar(all_77_10_74) = all_77_3_67 & vvar(all_0_7_7) = all_77_6_70 & visFreeVar(all_77_11_75, all_0_6_6)) | (all_77_7_71 = all_0_0_0 & all_77_9_73 = all_27_1_17 & all_77_11_75 = all_0_6_6 & all_77_12_76 = all_0_7_7 &  ~ (all_77_14_78 = all_0_7_7) & vsubst(all_0_7_7, all_0_6_6, all_77_10_74) = all_77_8_72 & vabs(all_77_14_78, all_77_13_77, all_77_8_72) = all_0_0_0 & vabs(all_77_14_78, all_77_13_77, all_77_10_74) = all_27_1_17 &  ~ visFreeVar(all_77_14_78, all_0_6_6)) | (all_77_7_71 = all_0_0_0 & all_77_10_74 = all_27_1_17 & all_77_12_76 = all_0_6_6 & all_77_13_77 = all_0_7_7 & vsubst(all_0_7_7, all_0_6_6, all_77_11_75) = all_77_8_72 & vsubst(all_0_7_7, all_0_6_6, all_77_14_78) = all_77_9_73 & vapp(all_77_9_73, all_77_8_72) = all_0_0_0 & vapp(all_77_14_78, all_77_11_75) = all_27_1_17) | (all_77_9_73 = all_0_0_0 & all_77_12_76 = all_0_7_7 & all_77_13_77 = all_0_7_7 & all_77_14_78 = all_0_6_6 & all_27_1_17 = all_0_0_0 & vabs(all_0_7_7, all_77_11_75, all_77_10_74) = all_0_0_0) | (all_77_11_75 = all_27_1_17 & all_77_12_76 = all_0_6_6 & all_77_13_77 = all_0_7_7 & all_77_14_78 = all_0_7_7 & all_0_0_0 = all_0_6_6 & vvar(all_0_7_7) = all_27_1_17)
% 47.95/14.04  							|
% 47.95/14.04  								+-Applying beta-rule and splitting (283), into two cases.
% 47.95/14.04  								|-Branch one:
% 47.95/14.04  								| (284) (all_77_0_64 = all_0_0_0 & all_77_4_68 = all_77_10_74 & all_77_8_72 = all_27_1_17 & all_77_13_77 = all_0_6_6 & all_77_14_78 = all_0_7_7 &  ~ (all_77_11_75 = all_0_7_7) & vsubst(all_77_11_75, all_77_3_67, all_77_9_73) = all_77_2_66 & vsubst(all_0_7_7, all_0_6_6, all_77_1_65) = all_0_0_0 & vgensym(all_77_5_69) = all_77_10_74 & vapp(all_77_7_71, all_77_6_70) = all_77_5_69 & vapp(all_0_6_6, all_77_9_73) = all_77_7_71 & vabs(all_77_10_74, all_77_12_76, all_77_2_66) = all_77_1_65 & vabs(all_77_11_75, all_77_12_76, all_77_9_73) = all_27_1_17 & vvar(all_77_10_74) = all_77_3_67 & vvar(all_0_7_7) = all_77_6_70 & visFreeVar(all_77_11_75, all_0_6_6)) | (all_77_7_71 = all_0_0_0 & all_77_9_73 = all_27_1_17 & all_77_11_75 = all_0_6_6 & all_77_12_76 = all_0_7_7 &  ~ (all_77_14_78 = all_0_7_7) & vsubst(all_0_7_7, all_0_6_6, all_77_10_74) = all_77_8_72 & vabs(all_77_14_78, all_77_13_77, all_77_8_72) = all_0_0_0 & vabs(all_77_14_78, all_77_13_77, all_77_10_74) = all_27_1_17 &  ~ visFreeVar(all_77_14_78, all_0_6_6)) | (all_77_7_71 = all_0_0_0 & all_77_10_74 = all_27_1_17 & all_77_12_76 = all_0_6_6 & all_77_13_77 = all_0_7_7 & vsubst(all_0_7_7, all_0_6_6, all_77_11_75) = all_77_8_72 & vsubst(all_0_7_7, all_0_6_6, all_77_14_78) = all_77_9_73 & vapp(all_77_9_73, all_77_8_72) = all_0_0_0 & vapp(all_77_14_78, all_77_11_75) = all_27_1_17) | (all_77_9_73 = all_0_0_0 & all_77_12_76 = all_0_7_7 & all_77_13_77 = all_0_7_7 & all_77_14_78 = all_0_6_6 & all_27_1_17 = all_0_0_0 & vabs(all_0_7_7, all_77_11_75, all_77_10_74) = all_0_0_0)
% 47.95/14.04  								|
% 47.95/14.04  									+-Applying beta-rule and splitting (284), into two cases.
% 47.95/14.04  									|-Branch one:
% 47.95/14.04  									| (285) (all_77_0_64 = all_0_0_0 & all_77_4_68 = all_77_10_74 & all_77_8_72 = all_27_1_17 & all_77_13_77 = all_0_6_6 & all_77_14_78 = all_0_7_7 &  ~ (all_77_11_75 = all_0_7_7) & vsubst(all_77_11_75, all_77_3_67, all_77_9_73) = all_77_2_66 & vsubst(all_0_7_7, all_0_6_6, all_77_1_65) = all_0_0_0 & vgensym(all_77_5_69) = all_77_10_74 & vapp(all_77_7_71, all_77_6_70) = all_77_5_69 & vapp(all_0_6_6, all_77_9_73) = all_77_7_71 & vabs(all_77_10_74, all_77_12_76, all_77_2_66) = all_77_1_65 & vabs(all_77_11_75, all_77_12_76, all_77_9_73) = all_27_1_17 & vvar(all_77_10_74) = all_77_3_67 & vvar(all_0_7_7) = all_77_6_70 & visFreeVar(all_77_11_75, all_0_6_6)) | (all_77_7_71 = all_0_0_0 & all_77_9_73 = all_27_1_17 & all_77_11_75 = all_0_6_6 & all_77_12_76 = all_0_7_7 &  ~ (all_77_14_78 = all_0_7_7) & vsubst(all_0_7_7, all_0_6_6, all_77_10_74) = all_77_8_72 & vabs(all_77_14_78, all_77_13_77, all_77_8_72) = all_0_0_0 & vabs(all_77_14_78, all_77_13_77, all_77_10_74) = all_27_1_17 &  ~ visFreeVar(all_77_14_78, all_0_6_6)) | (all_77_7_71 = all_0_0_0 & all_77_10_74 = all_27_1_17 & all_77_12_76 = all_0_6_6 & all_77_13_77 = all_0_7_7 & vsubst(all_0_7_7, all_0_6_6, all_77_11_75) = all_77_8_72 & vsubst(all_0_7_7, all_0_6_6, all_77_14_78) = all_77_9_73 & vapp(all_77_9_73, all_77_8_72) = all_0_0_0 & vapp(all_77_14_78, all_77_11_75) = all_27_1_17)
% 47.95/14.04  									|
% 47.95/14.04  										+-Applying beta-rule and splitting (285), into two cases.
% 47.95/14.04  										|-Branch one:
% 47.95/14.04  										| (286) (all_77_0_64 = all_0_0_0 & all_77_4_68 = all_77_10_74 & all_77_8_72 = all_27_1_17 & all_77_13_77 = all_0_6_6 & all_77_14_78 = all_0_7_7 &  ~ (all_77_11_75 = all_0_7_7) & vsubst(all_77_11_75, all_77_3_67, all_77_9_73) = all_77_2_66 & vsubst(all_0_7_7, all_0_6_6, all_77_1_65) = all_0_0_0 & vgensym(all_77_5_69) = all_77_10_74 & vapp(all_77_7_71, all_77_6_70) = all_77_5_69 & vapp(all_0_6_6, all_77_9_73) = all_77_7_71 & vabs(all_77_10_74, all_77_12_76, all_77_2_66) = all_77_1_65 & vabs(all_77_11_75, all_77_12_76, all_77_9_73) = all_27_1_17 & vvar(all_77_10_74) = all_77_3_67 & vvar(all_0_7_7) = all_77_6_70 & visFreeVar(all_77_11_75, all_0_6_6)) | (all_77_7_71 = all_0_0_0 & all_77_9_73 = all_27_1_17 & all_77_11_75 = all_0_6_6 & all_77_12_76 = all_0_7_7 &  ~ (all_77_14_78 = all_0_7_7) & vsubst(all_0_7_7, all_0_6_6, all_77_10_74) = all_77_8_72 & vabs(all_77_14_78, all_77_13_77, all_77_8_72) = all_0_0_0 & vabs(all_77_14_78, all_77_13_77, all_77_10_74) = all_27_1_17 &  ~ visFreeVar(all_77_14_78, all_0_6_6))
% 47.95/14.04  										|
% 47.95/14.04  											+-Applying beta-rule and splitting (286), into two cases.
% 47.95/14.04  											|-Branch one:
% 47.95/14.04  											| (287) all_77_0_64 = all_0_0_0 & all_77_4_68 = all_77_10_74 & all_77_8_72 = all_27_1_17 & all_77_13_77 = all_0_6_6 & all_77_14_78 = all_0_7_7 &  ~ (all_77_11_75 = all_0_7_7) & vsubst(all_77_11_75, all_77_3_67, all_77_9_73) = all_77_2_66 & vsubst(all_0_7_7, all_0_6_6, all_77_1_65) = all_0_0_0 & vgensym(all_77_5_69) = all_77_10_74 & vapp(all_77_7_71, all_77_6_70) = all_77_5_69 & vapp(all_0_6_6, all_77_9_73) = all_77_7_71 & vabs(all_77_10_74, all_77_12_76, all_77_2_66) = all_77_1_65 & vabs(all_77_11_75, all_77_12_76, all_77_9_73) = all_27_1_17 & vvar(all_77_10_74) = all_77_3_67 & vvar(all_0_7_7) = all_77_6_70 & visFreeVar(all_77_11_75, all_0_6_6)
% 47.95/14.04  											|
% 47.95/14.04  												| Applying alpha-rule on (287) yields:
% 47.95/14.04  												| (288) vgensym(all_77_5_69) = all_77_10_74
% 47.95/14.04  												| (289) all_77_0_64 = all_0_0_0
% 47.95/14.04  												| (290) all_77_4_68 = all_77_10_74
% 47.95/14.04  												| (291) all_77_8_72 = all_27_1_17
% 47.95/14.04  												| (292) vabs(all_77_10_74, all_77_12_76, all_77_2_66) = all_77_1_65
% 47.95/14.04  												| (293) vsubst(all_0_7_7, all_0_6_6, all_77_1_65) = all_0_0_0
% 47.95/14.04  												| (294) vapp(all_77_7_71, all_77_6_70) = all_77_5_69
% 47.95/14.04  												| (295) vvar(all_77_10_74) = all_77_3_67
% 47.95/14.04  												| (296) vapp(all_0_6_6, all_77_9_73) = all_77_7_71
% 47.95/14.04  												| (297) vvar(all_0_7_7) = all_77_6_70
% 47.95/14.04  												| (298) all_77_14_78 = all_0_7_7
% 47.95/14.04  												| (299) vsubst(all_77_11_75, all_77_3_67, all_77_9_73) = all_77_2_66
% 47.95/14.04  												| (300)  ~ (all_77_11_75 = all_0_7_7)
% 47.95/14.04  												| (301) all_77_13_77 = all_0_6_6
% 47.95/14.04  												| (302) vabs(all_77_11_75, all_77_12_76, all_77_9_73) = all_27_1_17
% 47.95/14.04  												| (303) visFreeVar(all_77_11_75, all_0_6_6)
% 47.95/14.04  												|
% 47.95/14.04  												| Instantiating formula (60) with all_27_1_17, all_77_9_73, all_77_12_76, all_77_11_75, all_27_2_18, all_0_4_4, all_27_10_26 and discharging atoms vabs(all_77_11_75, all_77_12_76, all_77_9_73) = all_27_1_17, vabs(all_27_10_26, all_0_4_4, all_27_2_18) = all_27_1_17, yields:
% 47.95/14.04  												| (304) all_77_11_75 = all_27_10_26
% 47.95/14.04  												|
% 47.95/14.04  												| From (304) and (303) follows:
% 47.95/14.04  												| (162) visFreeVar(all_27_10_26, all_0_6_6)
% 47.95/14.04  												|
% 47.95/14.04  												+-Applying beta-rule and splitting (149), into two cases.
% 47.95/14.04  												|-Branch one:
% 47.95/14.04  												| (163)  ~ visFreeVar(all_27_10_26, all_0_6_6)
% 47.95/14.04  												|
% 47.95/14.04  													| Using (162) and (163) yields:
% 47.95/14.04  													| (152) $false
% 47.95/14.04  													|
% 47.95/14.04  													|-The branch is then unsatisfiable
% 47.95/14.04  												|-Branch two:
% 47.95/14.04  												| (162) visFreeVar(all_27_10_26, all_0_6_6)
% 47.95/14.04  												| (166) visFreeVar(all_27_10_26, all_27_7_23)
% 47.95/14.04  												|
% 47.95/14.04  													| Instantiating formula (2) with all_27_6_22, all_27_7_23, all_27_5_21, all_27_10_26 and discharging atoms vapp(all_27_7_23, all_27_6_22) = all_27_5_21, visFreeVar(all_27_10_26, all_27_7_23), yields:
% 47.95/14.04  													| (167) visFreeVar(all_27_10_26, all_27_5_21)
% 47.95/14.04  													|
% 47.95/14.04  													| Instantiating formula (74) with all_27_5_21, all_27_10_26 and discharging atoms vgensym(all_27_5_21) = all_27_10_26, visFreeVar(all_27_10_26, all_27_5_21), yields:
% 47.95/14.04  													| (152) $false
% 47.95/14.04  													|
% 47.95/14.04  													|-The branch is then unsatisfiable
% 47.95/14.04  											|-Branch two:
% 47.95/14.04  											| (312) all_77_7_71 = all_0_0_0 & all_77_9_73 = all_27_1_17 & all_77_11_75 = all_0_6_6 & all_77_12_76 = all_0_7_7 &  ~ (all_77_14_78 = all_0_7_7) & vsubst(all_0_7_7, all_0_6_6, all_77_10_74) = all_77_8_72 & vabs(all_77_14_78, all_77_13_77, all_77_8_72) = all_0_0_0 & vabs(all_77_14_78, all_77_13_77, all_77_10_74) = all_27_1_17 &  ~ visFreeVar(all_77_14_78, all_0_6_6)
% 47.95/14.04  											|
% 47.95/14.04  												| Applying alpha-rule on (312) yields:
% 47.95/14.04  												| (313)  ~ visFreeVar(all_77_14_78, all_0_6_6)
% 47.95/14.04  												| (314) all_77_9_73 = all_27_1_17
% 47.95/14.04  												| (315) all_77_7_71 = all_0_0_0
% 47.95/14.04  												| (316) vabs(all_77_14_78, all_77_13_77, all_77_10_74) = all_27_1_17
% 47.95/14.04  												| (317)  ~ (all_77_14_78 = all_0_7_7)
% 47.95/14.04  												| (318) all_77_12_76 = all_0_7_7
% 47.95/14.04  												| (319) all_77_11_75 = all_0_6_6
% 47.95/14.04  												| (320) vabs(all_77_14_78, all_77_13_77, all_77_8_72) = all_0_0_0
% 47.95/14.04  												| (321) vsubst(all_0_7_7, all_0_6_6, all_77_10_74) = all_77_8_72
% 47.95/14.04  												|
% 47.95/14.04  												| Instantiating formula (89) with all_27_1_17, all_77_10_74, all_77_13_77, all_77_14_78, all_27_2_18, all_0_4_4, all_27_10_26 and discharging atoms vabs(all_77_14_78, all_77_13_77, all_77_10_74) = all_27_1_17, vabs(all_27_10_26, all_0_4_4, all_27_2_18) = all_27_1_17, yields:
% 47.95/14.04  												| (322) all_77_10_74 = all_27_2_18
% 47.95/14.04  												|
% 47.95/14.04  												| Instantiating formula (6) with all_27_1_17, all_77_10_74, all_77_13_77, all_77_14_78, all_27_2_18, all_0_4_4, all_27_10_26 and discharging atoms vabs(all_77_14_78, all_77_13_77, all_77_10_74) = all_27_1_17, vabs(all_27_10_26, all_0_4_4, all_27_2_18) = all_27_1_17, yields:
% 47.95/14.04  												| (323) all_77_13_77 = all_0_4_4
% 47.95/14.04  												|
% 47.95/14.04  												| Instantiating formula (60) with all_27_1_17, all_77_10_74, all_77_13_77, all_77_14_78, all_27_2_18, all_0_4_4, all_27_10_26 and discharging atoms vabs(all_77_14_78, all_77_13_77, all_77_10_74) = all_27_1_17, vabs(all_27_10_26, all_0_4_4, all_27_2_18) = all_27_1_17, yields:
% 47.95/14.04  												| (324) all_77_14_78 = all_27_10_26
% 47.95/14.04  												|
% 47.95/14.04  												| Equations (324) can reduce 317 to:
% 47.95/14.04  												| (146)  ~ (all_27_10_26 = all_0_7_7)
% 47.95/14.04  												|
% 47.95/14.04  												| From (324)(323)(322) and (316) follows:
% 47.95/14.04  												| (138) vabs(all_27_10_26, all_0_4_4, all_27_2_18) = all_27_1_17
% 47.95/14.04  												|
% 47.95/14.04  												| From (324) and (313) follows:
% 47.95/14.04  												| (163)  ~ visFreeVar(all_27_10_26, all_0_6_6)
% 47.95/14.04  												|
% 47.95/14.04  												| Instantiating formula (12) with all_0_0_0, all_27_1_17, all_0_2_2, all_0_3_3, all_27_2_18, all_0_4_4, all_27_10_26, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9 and discharging atoms vsubst(all_0_7_7, all_0_6_6, all_27_1_17) = all_0_0_0, vbind(all_0_7_7, all_0_9_9, all_0_8_8) = all_0_2_2, vabs(all_27_10_26, all_0_4_4, all_27_2_18) = all_27_1_17, vtcheck(all_0_2_2, all_27_1_17, all_0_3_3), vtcheck(all_0_8_8, all_0_6_6, all_0_9_9),  ~ vtcheck(all_0_8_8, all_0_0_0, all_0_3_3),  ~ visFreeVar(all_27_10_26, all_0_6_6), yields:
% 47.95/14.04  												| (170) all_27_10_26 = all_0_7_7
% 47.95/14.04  												|
% 47.95/14.04  												| Equations (170) can reduce 146 to:
% 47.95/14.04  												| (171) $false
% 47.95/14.04  												|
% 47.95/14.04  												|-The branch is then unsatisfiable
% 47.95/14.04  										|-Branch two:
% 47.95/14.04  										| (330) all_77_7_71 = all_0_0_0 & all_77_10_74 = all_27_1_17 & all_77_12_76 = all_0_6_6 & all_77_13_77 = all_0_7_7 & vsubst(all_0_7_7, all_0_6_6, all_77_11_75) = all_77_8_72 & vsubst(all_0_7_7, all_0_6_6, all_77_14_78) = all_77_9_73 & vapp(all_77_9_73, all_77_8_72) = all_0_0_0 & vapp(all_77_14_78, all_77_11_75) = all_27_1_17
% 47.95/14.04  										|
% 47.95/14.04  											| Applying alpha-rule on (330) yields:
% 47.95/14.04  											| (331) vsubst(all_0_7_7, all_0_6_6, all_77_14_78) = all_77_9_73
% 47.95/14.05  											| (315) all_77_7_71 = all_0_0_0
% 47.95/14.05  											| (333) all_77_10_74 = all_27_1_17
% 47.95/14.05  											| (334) vapp(all_77_9_73, all_77_8_72) = all_0_0_0
% 47.95/14.05  											| (335) all_77_13_77 = all_0_7_7
% 47.95/14.05  											| (336) all_77_12_76 = all_0_6_6
% 47.95/14.05  											| (337) vsubst(all_0_7_7, all_0_6_6, all_77_11_75) = all_77_8_72
% 47.95/14.05  											| (338) vapp(all_77_14_78, all_77_11_75) = all_27_1_17
% 47.95/14.05  											|
% 47.95/14.05  											| Instantiating formula (28) with all_27_1_17, all_77_11_75, all_77_14_78 and discharging atoms vapp(all_77_14_78, all_77_11_75) = all_27_1_17, visValue(all_27_1_17), yields:
% 47.95/14.05  											| (152) $false
% 47.95/14.05  											|
% 47.95/14.05  											|-The branch is then unsatisfiable
% 47.95/14.05  									|-Branch two:
% 47.95/14.05  									| (340) all_77_9_73 = all_0_0_0 & all_77_12_76 = all_0_7_7 & all_77_13_77 = all_0_7_7 & all_77_14_78 = all_0_6_6 & all_27_1_17 = all_0_0_0 & vabs(all_0_7_7, all_77_11_75, all_77_10_74) = all_0_0_0
% 47.95/14.05  									|
% 47.95/14.05  										| Applying alpha-rule on (340) yields:
% 47.95/14.05  										| (341) vabs(all_0_7_7, all_77_11_75, all_77_10_74) = all_0_0_0
% 47.95/14.05  										| (318) all_77_12_76 = all_0_7_7
% 47.95/14.05  										| (343) all_77_14_78 = all_0_6_6
% 47.95/14.05  										| (335) all_77_13_77 = all_0_7_7
% 47.95/14.05  										| (345) all_27_1_17 = all_0_0_0
% 47.95/14.05  										| (346) all_77_9_73 = all_0_0_0
% 47.95/14.05  										|
% 47.95/14.05  										| From (345) and (138) follows:
% 47.95/14.05  										| (347) vabs(all_27_10_26, all_0_4_4, all_27_2_18) = all_0_0_0
% 47.95/14.05  										|
% 47.95/14.05  										| Instantiating formula (60) with all_0_0_0, all_77_10_74, all_77_11_75, all_0_7_7, all_27_2_18, all_0_4_4, all_27_10_26 and discharging atoms vabs(all_27_10_26, all_0_4_4, all_27_2_18) = all_0_0_0, vabs(all_0_7_7, all_77_11_75, all_77_10_74) = all_0_0_0, yields:
% 47.95/14.05  										| (170) all_27_10_26 = all_0_7_7
% 47.95/14.05  										|
% 47.95/14.05  										| Equations (170) can reduce 146 to:
% 47.95/14.05  										| (171) $false
% 47.95/14.05  										|
% 47.95/14.05  										|-The branch is then unsatisfiable
% 47.95/14.05  								|-Branch two:
% 47.95/14.05  								| (350) all_77_11_75 = all_27_1_17 & all_77_12_76 = all_0_6_6 & all_77_13_77 = all_0_7_7 & all_77_14_78 = all_0_7_7 & all_0_0_0 = all_0_6_6 & vvar(all_0_7_7) = all_27_1_17
% 47.95/14.05  								|
% 47.95/14.05  									| Applying alpha-rule on (350) yields:
% 47.95/14.05  									| (351) vvar(all_0_7_7) = all_27_1_17
% 47.95/14.05  									| (214) all_0_0_0 = all_0_6_6
% 47.95/14.05  									| (298) all_77_14_78 = all_0_7_7
% 47.95/14.05  									| (354) all_77_11_75 = all_27_1_17
% 47.95/14.05  									| (335) all_77_13_77 = all_0_7_7
% 47.95/14.05  									| (336) all_77_12_76 = all_0_6_6
% 47.95/14.05  									|
% 47.95/14.05  									| Instantiating formula (90) with all_27_1_17, all_0_7_7 and discharging atoms vvar(all_0_7_7) = all_27_1_17, visValue(all_27_1_17), yields:
% 47.95/14.05  									| (152) $false
% 47.95/14.05  									|
% 47.95/14.05  									|-The branch is then unsatisfiable
% 47.95/14.05  							|-Branch two:
% 47.95/14.05  							| (358) all_77_11_75 = all_0_0_0 & all_77_13_77 = all_0_7_7 & all_77_14_78 = all_0_6_6 & all_27_1_17 = all_0_0_0 &  ~ (all_77_12_76 = all_0_7_7) & vvar(all_77_12_76) = all_0_0_0
% 47.95/14.05  							|
% 47.95/14.05  								| Applying alpha-rule on (358) yields:
% 47.95/14.05  								| (359) all_77_11_75 = all_0_0_0
% 47.95/14.05  								| (360)  ~ (all_77_12_76 = all_0_7_7)
% 47.95/14.05  								| (343) all_77_14_78 = all_0_6_6
% 47.95/14.05  								| (335) all_77_13_77 = all_0_7_7
% 47.95/14.05  								| (363) vvar(all_77_12_76) = all_0_0_0
% 47.95/14.05  								| (345) all_27_1_17 = all_0_0_0
% 47.95/14.05  								|
% 47.95/14.05  								| From (345) and (257) follows:
% 47.95/14.05  								| (365) visValue(all_0_0_0)
% 47.95/14.05  								|
% 47.95/14.05  								| Instantiating formula (90) with all_0_0_0, all_77_12_76 and discharging atoms vvar(all_77_12_76) = all_0_0_0, visValue(all_0_0_0), yields:
% 47.95/14.05  								| (152) $false
% 47.95/14.05  								|
% 47.95/14.05  								|-The branch is then unsatisfiable
% 47.95/14.05  					|-Branch two:
% 47.95/14.05  					| (179) all_27_7_23 = all_0_0_0 & all_27_9_25 = all_0_1_1 & all_27_11_27 = all_0_6_6 & all_27_12_28 = all_0_7_7 &  ~ (all_27_14_30 = all_0_7_7) & vsubst(all_0_7_7, all_0_6_6, all_27_10_26) = all_27_8_24 & vabs(all_27_14_30, all_27_13_29, all_27_8_24) = all_0_0_0 & vabs(all_27_14_30, all_27_13_29, all_27_10_26) = all_0_1_1 &  ~ visFreeVar(all_27_14_30, all_0_6_6)
% 47.95/14.05  					|
% 47.95/14.05  						| Applying alpha-rule on (179) yields:
% 47.95/14.05  						| (180)  ~ (all_27_14_30 = all_0_7_7)
% 47.95/14.05  						| (181) vsubst(all_0_7_7, all_0_6_6, all_27_10_26) = all_27_8_24
% 47.95/14.05  						| (182)  ~ visFreeVar(all_27_14_30, all_0_6_6)
% 47.95/14.05  						| (183) vabs(all_27_14_30, all_27_13_29, all_27_8_24) = all_0_0_0
% 47.95/14.05  						| (184) all_27_7_23 = all_0_0_0
% 47.95/14.05  						| (185) vabs(all_27_14_30, all_27_13_29, all_27_10_26) = all_0_1_1
% 47.95/14.05  						| (186) all_27_9_25 = all_0_1_1
% 47.95/14.05  						| (187) all_27_11_27 = all_0_6_6
% 47.95/14.05  						| (188) all_27_12_28 = all_0_7_7
% 47.95/14.05  						|
% 47.95/14.05  						| Instantiating formula (60) with all_0_1_1, all_27_10_26, all_27_13_29, all_27_14_30, veabs, all_0_4_4, all_0_5_5 and discharging atoms vabs(all_27_14_30, all_27_13_29, all_27_10_26) = all_0_1_1, vabs(all_0_5_5, all_0_4_4, veabs) = all_0_1_1, yields:
% 47.95/14.05  						| (189) all_27_14_30 = all_0_5_5
% 47.95/14.05  						|
% 47.95/14.05  						| Using (30) and (182) yields:
% 47.95/14.05  						| (190)  ~ (all_27_14_30 = all_0_5_5)
% 47.95/14.05  						|
% 47.95/14.05  						| Equations (189) can reduce 190 to:
% 47.95/14.05  						| (171) $false
% 47.95/14.05  						|
% 47.95/14.05  						|-The branch is then unsatisfiable
% 47.95/14.05  				|-Branch two:
% 47.95/14.05  				| (192) all_27_7_23 = all_0_0_0 & all_27_10_26 = all_0_1_1 & all_27_12_28 = all_0_6_6 & all_27_13_29 = all_0_7_7 & vsubst(all_0_7_7, all_0_6_6, all_27_11_27) = all_27_8_24 & vsubst(all_0_7_7, all_0_6_6, all_27_14_30) = all_27_9_25 & vapp(all_27_9_25, all_27_8_24) = all_0_0_0 & vapp(all_27_14_30, all_27_11_27) = all_0_1_1
% 47.95/14.05  				|
% 47.95/14.05  					| Applying alpha-rule on (192) yields:
% 47.95/14.05  					| (193) all_27_13_29 = all_0_7_7
% 47.95/14.05  					| (194) vsubst(all_0_7_7, all_0_6_6, all_27_11_27) = all_27_8_24
% 47.95/14.05  					| (195) vapp(all_27_9_25, all_27_8_24) = all_0_0_0
% 47.95/14.05  					| (184) all_27_7_23 = all_0_0_0
% 47.95/14.05  					| (197) all_27_12_28 = all_0_6_6
% 47.95/14.05  					| (198) vsubst(all_0_7_7, all_0_6_6, all_27_14_30) = all_27_9_25
% 47.95/14.05  					| (199) vapp(all_27_14_30, all_27_11_27) = all_0_1_1
% 47.95/14.05  					| (200) all_27_10_26 = all_0_1_1
% 47.95/14.05  					|
% 47.95/14.05  					| Instantiating formula (28) with all_0_1_1, all_27_11_27, all_27_14_30 and discharging atoms vapp(all_27_14_30, all_27_11_27) = all_0_1_1, visValue(all_0_1_1), yields:
% 47.95/14.05  					| (152) $false
% 47.95/14.05  					|
% 47.95/14.05  					|-The branch is then unsatisfiable
% 47.95/14.05  			|-Branch two:
% 47.95/14.05  			| (202) all_27_9_25 = all_0_1_1 & all_27_12_28 = all_0_7_7 & all_27_13_29 = all_0_7_7 & all_27_14_30 = all_0_6_6 & all_0_0_0 = all_0_1_1 & vabs(all_0_7_7, all_27_11_27, all_27_10_26) = all_0_1_1
% 47.95/14.05  			|
% 47.95/14.05  				| Applying alpha-rule on (202) yields:
% 47.95/14.05  				| (193) all_27_13_29 = all_0_7_7
% 47.95/14.05  				| (204) all_0_0_0 = all_0_1_1
% 47.95/14.05  				| (205) vabs(all_0_7_7, all_27_11_27, all_27_10_26) = all_0_1_1
% 47.95/14.05  				| (186) all_27_9_25 = all_0_1_1
% 47.95/14.05  				| (207) all_27_14_30 = all_0_6_6
% 47.95/14.05  				| (188) all_27_12_28 = all_0_7_7
% 47.95/14.05  				|
% 47.95/14.05  				| Instantiating formula (43) with all_27_10_26, all_0_1_1, all_0_7_7, all_27_11_27 and discharging atoms vabs(all_0_7_7, all_27_11_27, all_27_10_26) = all_0_1_1, visFreeVar(all_0_7_7, all_0_1_1), yields:
% 47.95/14.05  				| (152) $false
% 47.95/14.05  				|
% 47.95/14.05  				|-The branch is then unsatisfiable
% 47.95/14.05  		|-Branch two:
% 47.95/14.05  		| (210) all_27_11_27 = all_0_1_1 & all_27_12_28 = all_0_6_6 & all_27_13_29 = all_0_7_7 & all_27_14_30 = all_0_7_7 & all_0_0_0 = all_0_6_6 & vvar(all_0_7_7) = all_0_1_1
% 47.95/14.05  		|
% 47.95/14.05  			| Applying alpha-rule on (210) yields:
% 47.95/14.05  			| (193) all_27_13_29 = all_0_7_7
% 47.95/14.05  			| (117) all_27_14_30 = all_0_7_7
% 47.95/14.05  			| (213) all_27_11_27 = all_0_1_1
% 47.95/14.05  			| (214) all_0_0_0 = all_0_6_6
% 47.95/14.05  			| (197) all_27_12_28 = all_0_6_6
% 47.95/14.05  			| (216) vvar(all_0_7_7) = all_0_1_1
% 47.95/14.05  			|
% 47.95/14.05  			| Instantiating formula (90) with all_0_1_1, all_0_7_7 and discharging atoms vvar(all_0_7_7) = all_0_1_1, visValue(all_0_1_1), yields:
% 47.95/14.05  			| (152) $false
% 47.95/14.05  			|
% 47.95/14.05  			|-The branch is then unsatisfiable
% 47.95/14.05  	|-Branch two:
% 47.95/14.05  	| (218) all_27_11_27 = all_0_1_1 & all_27_13_29 = all_0_7_7 & all_27_14_30 = all_0_6_6 & all_0_0_0 = all_0_1_1 &  ~ (all_27_12_28 = all_0_7_7) & vvar(all_27_12_28) = all_0_1_1
% 47.95/14.05  	|
% 47.95/14.05  		| Applying alpha-rule on (218) yields:
% 47.95/14.05  		| (193) all_27_13_29 = all_0_7_7
% 47.95/14.05  		| (204) all_0_0_0 = all_0_1_1
% 47.95/14.05  		| (213) all_27_11_27 = all_0_1_1
% 47.95/14.05  		| (222) vvar(all_27_12_28) = all_0_1_1
% 47.95/14.05  		| (207) all_27_14_30 = all_0_6_6
% 47.95/14.05  		| (224)  ~ (all_27_12_28 = all_0_7_7)
% 47.95/14.05  		|
% 47.95/14.05  		| Instantiating formula (90) with all_0_1_1, all_27_12_28 and discharging atoms vvar(all_27_12_28) = all_0_1_1, visValue(all_0_1_1), yields:
% 47.95/14.05  		| (152) $false
% 47.95/14.05  		|
% 47.95/14.05  		|-The branch is then unsatisfiable
% 47.95/14.05  % SZS output end Proof for theBenchmark
% 47.95/14.05  
% 47.95/14.05  13441ms
%------------------------------------------------------------------------------