%------------------------------------------------------------------------------
% File     : ePrincess---1.0
% Problem  : SYN723+1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : ePrincess-casc -timeout=%d %s

% Computer : n021.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 : Thu Jul 21 05:04:41 EDT 2022

% Result   : Theorem 32.13s 8.56s
% Output   : Proof 56.52s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SYN723+1 : TPTP v8.1.0. Released v2.5.0.
% 0.10/0.13  % Command  : ePrincess-casc -timeout=%d %s
% 0.14/0.33  % Computer : n021.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit : 300
% 0.14/0.33  % WCLimit  : 600
% 0.14/0.33  % DateTime : Tue Jul 12 02:17:54 EDT 2022
% 0.14/0.33  % CPUTime  : 
% 0.20/0.58          ____       _                          
% 0.20/0.58    ___  / __ \_____(_)___  ________  __________
% 0.20/0.58   / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.20/0.58  /  __/ ____/ /  / / / / / /__/  __(__  |__  ) 
% 0.20/0.58  \___/_/   /_/  /_/_/ /_/\___/\___/____/____/  
% 0.20/0.58  
% 0.20/0.58  A Theorem Prover for First-Order Logic
% 0.20/0.58  (ePrincess v.1.0)
% 0.20/0.58  
% 0.20/0.58  (c) Philipp Rümmer, 2009-2015
% 0.20/0.58  (c) Peter Backeman, 2014-2015
% 0.20/0.58  (contributions by Angelo Brillout, Peter Baumgartner)
% 0.20/0.58  Free software under GNU Lesser General Public License (LGPL).
% 0.20/0.58  Bug reports to peter@backeman.se
% 0.20/0.58  
% 0.20/0.58  For more information, visit http://user.uu.se/~petba168/breu/
% 0.20/0.58  
% 0.20/0.58  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.72/0.66  Prover 0: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.39/0.89  Prover 0: Preprocessing ...
% 3.25/1.38  Prover 0: Warning: ignoring some quantifiers
% 3.45/1.42  Prover 0: Constructing countermodel ...
% 3.71/1.56  Prover 0: gave up
% 3.71/1.56  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 4.19/1.58  Prover 1: Preprocessing ...
% 6.22/2.07  Prover 1: Constructing countermodel ...
% 18.22/4.88  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 18.22/4.90  Prover 2: Preprocessing ...
% 19.49/5.21  Prover 2: Warning: ignoring some quantifiers
% 19.49/5.22  Prover 2: Constructing countermodel ...
% 25.41/6.72  Prover 3: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 25.41/6.73  Prover 3: Preprocessing ...
% 25.79/6.88  Prover 3: Warning: ignoring some quantifiers
% 25.79/6.89  Prover 3: Constructing countermodel ...
% 26.18/6.91  Prover 3: gave up
% 26.18/6.91  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete
% 26.18/6.92  Prover 4: Preprocessing ...
% 26.59/7.06  Prover 4: Constructing countermodel ...
% 32.13/8.56  Prover 2: proved (2165ms)
% 32.13/8.56  Prover 4: stopped
% 32.13/8.56  Prover 1: stopped
% 32.13/8.56  
% 32.13/8.56  No countermodel exists, formula is valid
% 32.13/8.56  % SZS status Theorem for theBenchmark
% 32.13/8.56  
% 32.13/8.56  Generating proof ... Warning: ignoring some quantifiers
% 49.77/14.56  found it (size 7915)
% 49.77/14.56  
% 49.77/14.56  % SZS output start Proof for theBenchmark
% 49.77/14.56  Assumed formulas after preprocessing and simplification: 
% 49.77/14.56  | (0)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] :  ? [v15] :  ? [v16] :  ? [v17] :  ? [v18] :  ? [v19] :  ? [v20] :  ? [v21] : ( ! [v22] :  ! [v23] :  ! [v24] : (v23 = v22 |  ~ (s(v24) = v23) |  ~ (s(v24) = v22)) &  ! [v22] :  ! [v23] :  ! [v24] : (v23 = v22 |  ~ (r(v24) = v23) |  ~ (r(v24) = v22)) &  ! [v22] :  ! [v23] :  ! [v24] : (v23 = v22 |  ~ (q(v24) = v23) |  ~ (q(v24) = v22)) &  ! [v22] :  ! [v23] :  ! [v24] : (v23 = v22 |  ~ (p(v24) = v23) |  ~ (p(v24) = v22)) &  ? [v22] :  ? [v23] : s(v22) = v23 &  ? [v22] :  ? [v23] : r(v22) = v23 &  ? [v22] :  ? [v23] : q(v22) = v23 &  ? [v22] :  ? [v23] : p(v22) = v23 & ((p(v20) = v21 &  ! [v22] :  ! [v23] : ( ~ (v21 = 0) | v23 = 0 |  ~ (p(v22) = v23)) &  ! [v22] : (v21 = 0 |  ~ (p(v22) = 0)) & ((((v19 = 0 & q(v18) = 0 &  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (r(v22) = v23))) | ( ~ (v19 = 0) & r(v18) = v19 &  ! [v22] :  ~ (q(v22) = 0))) & ((((r(v16) = v17 &  ! [v22] :  ! [v23] : ( ~ (v17 = 0) | v23 = 0 |  ~ (r(v22) = v23)) &  ! [v22] : (v17 = 0 |  ~ (r(v22) = 0)) & ((((v15 = 0 &  ~ (v13 = 0) & s(v14) = 0 & p(v12) = v13) | ( ! [v22] :  ! [v23] : (v23 = 0 |  ~ (p(v22) = v23)) &  ! [v22] :  ~ (s(v22) = 0))) & ((s(v10) = v11 &  ! [v22] :  ! [v23] : ( ~ (v11 = 0) | v23 = 0 |  ~ (s(v22) = v23)) &  ! [v22] : (v11 = 0 |  ~ (s(v22) = 0)) & ((v9 = 0 &  ~ (v7 = 0) & q(v6) = v7 & p(v8) = 0) | ( ! [v22] :  ! [v23] : (v23 = 0 |  ~ (q(v22) = v23)) &  ! [v22] :  ~ (p(v22) = 0)))) | ( ! [v22] :  ! [v23] : ( ~ (s(v22) = v23) |  ? [v24] :  ? [v25] : (( ~ (v23 = 0) | ( ~ (v25 = 0) & s(v24) = v25)) & (v23 = 0 | (v25 = 0 & s(v24) = 0)))) & ((v7 = 0 & p(v6) = 0 &  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (q(v22) = v23))) | ( ~ (v7 = 0) & q(v6) = v7 &  ! [v22] :  ~ (p(v22) = 0)))))) | (((v11 = 0 & s(v10) = 0 &  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (p(v22) = v23))) | ( ~ (v11 = 0) & p(v10) = v11 &  ! [v22] :  ~ (s(v22) = 0))) & ((s(v8) = v9 &  ! [v22] :  ! [v23] : ( ~ (v9 = 0) | v23 = 0 |  ~ (s(v22) = v23)) &  ! [v22] : (v9 = 0 |  ~ (s(v22) = 0)) & ((v7 = 0 & p(v6) = 0 &  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (q(v22) = v23))) | ( ~ (v7 = 0) & q(v6) = v7 &  ! [v22] :  ~ (p(v22) = 0)))) | ( ! [v22] :  ! [v23] : ( ~ (s(v22) = v23) |  ? [v24] :  ? [v25] : (( ~ (v23 = 0) | ( ~ (v25 = 0) & s(v24) = v25)) & (v23 = 0 | (v25 = 0 & s(v24) = 0)))) & ((v9 = 0 &  ~ (v7 = 0) & q(v6) = v7 & p(v8) = 0) | ( ! [v22] :  ! [v23] : (v23 = 0 |  ~ (q(v22) = v23)) &  ! [v22] :  ~ (p(v22) = 0)))))))) | ( ! [v22] :  ! [v23] : ( ~ (r(v22) = v23) |  ? [v24] :  ? [v25] : (( ~ (v23 = 0) | ( ~ (v25 = 0) & r(v24) = v25)) & (v23 = 0 | (v25 = 0 & r(v24) = 0)))) & ((((v13 = 0 & s(v12) = 0 &  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (p(v22) = v23))) | ( ~ (v13 = 0) & p(v12) = v13 &  ! [v22] :  ~ (s(v22) = 0))) & ((s(v10) = v11 &  ! [v22] :  ! [v23] : ( ~ (v11 = 0) | v23 = 0 |  ~ (s(v22) = v23)) &  ! [v22] : (v11 = 0 |  ~ (s(v22) = 0)) & ((v9 = 0 &  ~ (v7 = 0) & q(v6) = v7 & p(v8) = 0) | ( ! [v22] :  ! [v23] : (v23 = 0 |  ~ (q(v22) = v23)) &  ! [v22] :  ~ (p(v22) = 0)))) | ( ! [v22] :  ! [v23] : ( ~ (s(v22) = v23) |  ? [v24] :  ? [v25] : (( ~ (v23 = 0) | ( ~ (v25 = 0) & s(v24) = v25)) & (v23 = 0 | (v25 = 0 & s(v24) = 0)))) & ((v7 = 0 & p(v6) = 0 &  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (q(v22) = v23))) | ( ~ (v7 = 0) & q(v6) = v7 &  ! [v22] :  ~ (p(v22) = 0)))))) | (((v9 = 0 &  ~ (v7 = 0) & s(v8) = 0 & p(v6) = v7) | ( ! [v22] :  ! [v23] : (v23 = 0 |  ~ (p(v22) = v23)) &  ! [v22] :  ~ (s(v22) = 0))) & ((s(v12) = v13 &  ! [v22] :  ! [v23] : ( ~ (v13 = 0) | v23 = 0 |  ~ (s(v22) = v23)) &  ! [v22] : (v13 = 0 |  ~ (s(v22) = 0)) & ((v11 = 0 & p(v10) = 0 &  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (q(v22) = v23))) | ( ~ (v11 = 0) & q(v10) = v11 &  ! [v22] :  ~ (p(v22) = 0)))) | ( ! [v22] :  ! [v23] : ( ~ (s(v22) = v23) |  ? [v24] :  ? [v25] : (( ~ (v23 = 0) | ( ~ (v25 = 0) & s(v24) = v25)) & (v23 = 0 | (v25 = 0 & s(v24) = 0)))) & ((v13 = 0 &  ~ (v11 = 0) & q(v10) = v11 & p(v12) = 0) | ( ! [v22] :  ! [v23] : (v23 = 0 |  ~ (q(v22) = v23)) &  ! [v22] :  ~ (p(v22) = 0))))))))) & ((q(v4) = v5 &  ! [v22] :  ! [v23] : ( ~ (v5 = 0) | v23 = 0 |  ~ (q(v22) = v23)) &  ! [v22] : (v5 = 0 |  ~ (q(v22) = 0)) & ((v3 = 0 &  ~ (v1 = 0) & s(v0) = v1 & r(v2) = 0) | ( ! [v22] :  ! [v23] : (v23 = 0 |  ~ (s(v22) = v23)) &  ! [v22] :  ~ (r(v22) = 0)))) | ( ! [v22] :  ! [v23] : ( ~ (q(v22) = v23) |  ? [v24] :  ? [v25] : (( ~ (v23 = 0) | ( ~ (v25 = 0) & q(v24) = v25)) & (v23 = 0 | (v25 = 0 & q(v24) = 0)))) & ((v1 = 0 & r(v0) = 0 &  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (s(v22) = v23))) | ( ~ (v1 = 0) & s(v0) = v1 &  ! [v22] :  ~ (r(v22) = 0)))))) | (((r(v8) = v9 &  ! [v22] :  ! [v23] : ( ~ (v9 = 0) | v23 = 0 |  ~ (r(v22) = v23)) &  ! [v22] : (v9 = 0 |  ~ (r(v22) = 0)) & ((((v7 = 0 & s(v6) = 0 &  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (p(v22) = v23))) | ( ~ (v7 = 0) & p(v6) = v7 &  ! [v22] :  ~ (s(v22) = 0))) & ((s(v4) = v5 &  ! [v22] :  ! [v23] : ( ~ (v5 = 0) | v23 = 0 |  ~ (s(v22) = v23)) &  ! [v22] : (v5 = 0 |  ~ (s(v22) = 0)) & ((v3 = 0 &  ~ (v1 = 0) & q(v0) = v1 & p(v2) = 0) | ( ! [v22] :  ! [v23] : (v23 = 0 |  ~ (q(v22) = v23)) &  ! [v22] :  ~ (p(v22) = 0)))) | ( ! [v22] :  ! [v23] : ( ~ (s(v22) = v23) |  ? [v24] :  ? [v25] : (( ~ (v23 = 0) | ( ~ (v25 = 0) & s(v24) = v25)) & (v23 = 0 | (v25 = 0 & s(v24) = 0)))) & ((v1 = 0 & p(v0) = 0 &  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (q(v22) = v23))) | ( ~ (v1 = 0) & q(v0) = v1 &  ! [v22] :  ~ (p(v22) = 0)))))) | (((v3 = 0 &  ~ (v1 = 0) & s(v2) = 0 & p(v0) = v1) | ( ! [v22] :  ! [v23] : (v23 = 0 |  ~ (p(v22) = v23)) &  ! [v22] :  ~ (s(v22) = 0))) & ((s(v6) = v7 &  ! [v22] :  ! [v23] : ( ~ (v7 = 0) | v23 = 0 |  ~ (s(v22) = v23)) &  ! [v22] : (v7 = 0 |  ~ (s(v22) = 0)) & ((v5 = 0 & p(v4) = 0 &  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (q(v22) = v23))) | ( ~ (v5 = 0) & q(v4) = v5 &  ! [v22] :  ~ (p(v22) = 0)))) | ( ! [v22] :  ! [v23] : ( ~ (s(v22) = v23) |  ? [v24] :  ? [v25] : (( ~ (v23 = 0) | ( ~ (v25 = 0) & s(v24) = v25)) & (v23 = 0 | (v25 = 0 & s(v24) = 0)))) & ((v7 = 0 &  ~ (v5 = 0) & q(v4) = v5 & p(v6) = 0) | ( ! [v22] :  ! [v23] : (v23 = 0 |  ~ (q(v22) = v23)) &  ! [v22] :  ~ (p(v22) = 0)))))))) | ( ! [v22] :  ! [v23] : ( ~ (r(v22) = v23) |  ? [v24] :  ? [v25] : (( ~ (v23 = 0) | ( ~ (v25 = 0) & r(v24) = v25)) & (v23 = 0 | (v25 = 0 & r(v24) = 0)))) & ((((v9 = 0 &  ~ (v7 = 0) & s(v8) = 0 & p(v6) = v7) | ( ! [v22] :  ! [v23] : (v23 = 0 |  ~ (p(v22) = v23)) &  ! [v22] :  ~ (s(v22) = 0))) & ((s(v4) = v5 &  ! [v22] :  ! [v23] : ( ~ (v5 = 0) | v23 = 0 |  ~ (s(v22) = v23)) &  ! [v22] : (v5 = 0 |  ~ (s(v22) = 0)) & ((v3 = 0 &  ~ (v1 = 0) & q(v0) = v1 & p(v2) = 0) | ( ! [v22] :  ! [v23] : (v23 = 0 |  ~ (q(v22) = v23)) &  ! [v22] :  ~ (p(v22) = 0)))) | ( ! [v22] :  ! [v23] : ( ~ (s(v22) = v23) |  ? [v24] :  ? [v25] : (( ~ (v23 = 0) | ( ~ (v25 = 0) & s(v24) = v25)) & (v23 = 0 | (v25 = 0 & s(v24) = 0)))) & ((v1 = 0 & p(v0) = 0 &  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (q(v22) = v23))) | ( ~ (v1 = 0) & q(v0) = v1 &  ! [v22] :  ~ (p(v22) = 0)))))) | (((v5 = 0 & s(v4) = 0 &  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (p(v22) = v23))) | ( ~ (v5 = 0) & p(v4) = v5 &  ! [v22] :  ~ (s(v22) = 0))) & ((s(v2) = v3 &  ! [v22] :  ! [v23] : ( ~ (v3 = 0) | v23 = 0 |  ~ (s(v22) = v23)) &  ! [v22] : (v3 = 0 |  ~ (s(v22) = 0)) & ((v1 = 0 & p(v0) = 0 &  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (q(v22) = v23))) | ( ~ (v1 = 0) & q(v0) = v1 &  ! [v22] :  ~ (p(v22) = 0)))) | ( ! [v22] :  ! [v23] : ( ~ (s(v22) = v23) |  ? [v24] :  ? [v25] : (( ~ (v23 = 0) | ( ~ (v25 = 0) & s(v24) = v25)) & (v23 = 0 | (v25 = 0 & s(v24) = 0)))) & ((v3 = 0 &  ~ (v1 = 0) & q(v0) = v1 & p(v2) = 0) | ( ! [v22] :  ! [v23] : (v23 = 0 |  ~ (q(v22) = v23)) &  ! [v22] :  ~ (p(v22) = 0))))))))) & ((q(v12) = v13 &  ! [v22] :  ! [v23] : ( ~ (v13 = 0) | v23 = 0 |  ~ (q(v22) = v23)) &  ! [v22] : (v13 = 0 |  ~ (q(v22) = 0)) & ((v11 = 0 & r(v10) = 0 &  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (s(v22) = v23))) | ( ~ (v11 = 0) & s(v10) = v11 &  ! [v22] :  ~ (r(v22) = 0)))) | ( ! [v22] :  ! [v23] : ( ~ (q(v22) = v23) |  ? [v24] :  ? [v25] : (( ~ (v23 = 0) | ( ~ (v25 = 0) & q(v24) = v25)) & (v23 = 0 | (v25 = 0 & q(v24) = 0)))) & ((v13 = 0 &  ~ (v11 = 0) & s(v10) = v11 & r(v12) = 0) | ( ! [v22] :  ! [v23] : (v23 = 0 |  ~ (s(v22) = v23)) &  ! [v22] :  ~ (r(v22) = 0)))))))) | (((v3 = 0 &  ~ (v1 = 0) & r(v0) = v1 & q(v2) = 0) | ( ! [v22] :  ! [v23] : (v23 = 0 |  ~ (r(v22) = v23)) &  ! [v22] :  ~ (q(v22) = 0))) & ((((r(v14) = v15 &  ! [v22] :  ! [v23] : ( ~ (v15 = 0) | v23 = 0 |  ~ (r(v22) = v23)) &  ! [v22] : (v15 = 0 |  ~ (r(v22) = 0)) & ((((v13 = 0 &  ~ (v11 = 0) & s(v12) = 0 & p(v10) = v11) | ( ! [v22] :  ! [v23] : (v23 = 0 |  ~ (p(v22) = v23)) &  ! [v22] :  ~ (s(v22) = 0))) & ((s(v8) = v9 &  ! [v22] :  ! [v23] : ( ~ (v9 = 0) | v23 = 0 |  ~ (s(v22) = v23)) &  ! [v22] : (v9 = 0 |  ~ (s(v22) = 0)) & ((v7 = 0 &  ~ (v5 = 0) & q(v4) = v5 & p(v6) = 0) | ( ! [v22] :  ! [v23] : (v23 = 0 |  ~ (q(v22) = v23)) &  ! [v22] :  ~ (p(v22) = 0)))) | ( ! [v22] :  ! [v23] : ( ~ (s(v22) = v23) |  ? [v24] :  ? [v25] : (( ~ (v23 = 0) | ( ~ (v25 = 0) & s(v24) = v25)) & (v23 = 0 | (v25 = 0 & s(v24) = 0)))) & ((v5 = 0 & p(v4) = 0 &  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (q(v22) = v23))) | ( ~ (v5 = 0) & q(v4) = v5 &  ! [v22] :  ~ (p(v22) = 0)))))) | (((v9 = 0 & s(v8) = 0 &  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (p(v22) = v23))) | ( ~ (v9 = 0) & p(v8) = v9 &  ! [v22] :  ~ (s(v22) = 0))) & ((s(v6) = v7 &  ! [v22] :  ! [v23] : ( ~ (v7 = 0) | v23 = 0 |  ~ (s(v22) = v23)) &  ! [v22] : (v7 = 0 |  ~ (s(v22) = 0)) & ((v5 = 0 & p(v4) = 0 &  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (q(v22) = v23))) | ( ~ (v5 = 0) & q(v4) = v5 &  ! [v22] :  ~ (p(v22) = 0)))) | ( ! [v22] :  ! [v23] : ( ~ (s(v22) = v23) |  ? [v24] :  ? [v25] : (( ~ (v23 = 0) | ( ~ (v25 = 0) & s(v24) = v25)) & (v23 = 0 | (v25 = 0 & s(v24) = 0)))) & ((v7 = 0 &  ~ (v5 = 0) & q(v4) = v5 & p(v6) = 0) | ( ! [v22] :  ! [v23] : (v23 = 0 |  ~ (q(v22) = v23)) &  ! [v22] :  ~ (p(v22) = 0)))))))) | ( ! [v22] :  ! [v23] : ( ~ (r(v22) = v23) |  ? [v24] :  ? [v25] : (( ~ (v23 = 0) | ( ~ (v25 = 0) & r(v24) = v25)) & (v23 = 0 | (v25 = 0 & r(v24) = 0)))) & ((((v11 = 0 & s(v10) = 0 &  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (p(v22) = v23))) | ( ~ (v11 = 0) & p(v10) = v11 &  ! [v22] :  ~ (s(v22) = 0))) & ((s(v8) = v9 &  ! [v22] :  ! [v23] : ( ~ (v9 = 0) | v23 = 0 |  ~ (s(v22) = v23)) &  ! [v22] : (v9 = 0 |  ~ (s(v22) = 0)) & ((v7 = 0 &  ~ (v5 = 0) & q(v4) = v5 & p(v6) = 0) | ( ! [v22] :  ! [v23] : (v23 = 0 |  ~ (q(v22) = v23)) &  ! [v22] :  ~ (p(v22) = 0)))) | ( ! [v22] :  ! [v23] : ( ~ (s(v22) = v23) |  ? [v24] :  ? [v25] : (( ~ (v23 = 0) | ( ~ (v25 = 0) & s(v24) = v25)) & (v23 = 0 | (v25 = 0 & s(v24) = 0)))) & ((v5 = 0 & p(v4) = 0 &  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (q(v22) = v23))) | ( ~ (v5 = 0) & q(v4) = v5 &  ! [v22] :  ~ (p(v22) = 0)))))) | (((v7 = 0 &  ~ (v5 = 0) & s(v6) = 0 & p(v4) = v5) | ( ! [v22] :  ! [v23] : (v23 = 0 |  ~ (p(v22) = v23)) &  ! [v22] :  ~ (s(v22) = 0))) & ((s(v10) = v11 &  ! [v22] :  ! [v23] : ( ~ (v11 = 0) | v23 = 0 |  ~ (s(v22) = v23)) &  ! [v22] : (v11 = 0 |  ~ (s(v22) = 0)) & ((v9 = 0 & p(v8) = 0 &  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (q(v22) = v23))) | ( ~ (v9 = 0) & q(v8) = v9 &  ! [v22] :  ~ (p(v22) = 0)))) | ( ! [v22] :  ! [v23] : ( ~ (s(v22) = v23) |  ? [v24] :  ? [v25] : (( ~ (v23 = 0) | ( ~ (v25 = 0) & s(v24) = v25)) & (v23 = 0 | (v25 = 0 & s(v24) = 0)))) & ((v11 = 0 &  ~ (v9 = 0) & q(v8) = v9 & p(v10) = 0) | ( ! [v22] :  ! [v23] : (v23 = 0 |  ~ (q(v22) = v23)) &  ! [v22] :  ~ (p(v22) = 0))))))))) & ((q(v18) = v19 &  ! [v22] :  ! [v23] : ( ~ (v19 = 0) | v23 = 0 |  ~ (q(v22) = v23)) &  ! [v22] : (v19 = 0 |  ~ (q(v22) = 0)) & ((v17 = 0 & r(v16) = 0 &  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (s(v22) = v23))) | ( ~ (v17 = 0) & s(v16) = v17 &  ! [v22] :  ~ (r(v22) = 0)))) | ( ! [v22] :  ! [v23] : ( ~ (q(v22) = v23) |  ? [v24] :  ? [v25] : (( ~ (v23 = 0) | ( ~ (v25 = 0) & q(v24) = v25)) & (v23 = 0 | (v25 = 0 & q(v24) = 0)))) & ((v19 = 0 &  ~ (v17 = 0) & s(v16) = v17 & r(v18) = 0) | ( ! [v22] :  ! [v23] : (v23 = 0 |  ~ (s(v22) = v23)) &  ! [v22] :  ~ (r(v22) = 0)))))) | (((r(v12) = v13 &  ! [v22] :  ! [v23] : ( ~ (v13 = 0) | v23 = 0 |  ~ (r(v22) = v23)) &  ! [v22] : (v13 = 0 |  ~ (r(v22) = 0)) & ((((v11 = 0 & s(v10) = 0 &  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (p(v22) = v23))) | ( ~ (v11 = 0) & p(v10) = v11 &  ! [v22] :  ~ (s(v22) = 0))) & ((s(v8) = v9 &  ! [v22] :  ! [v23] : ( ~ (v9 = 0) | v23 = 0 |  ~ (s(v22) = v23)) &  ! [v22] : (v9 = 0 |  ~ (s(v22) = 0)) & ((v7 = 0 &  ~ (v5 = 0) & q(v4) = v5 & p(v6) = 0) | ( ! [v22] :  ! [v23] : (v23 = 0 |  ~ (q(v22) = v23)) &  ! [v22] :  ~ (p(v22) = 0)))) | ( ! [v22] :  ! [v23] : ( ~ (s(v22) = v23) |  ? [v24] :  ? [v25] : (( ~ (v23 = 0) | ( ~ (v25 = 0) & s(v24) = v25)) & (v23 = 0 | (v25 = 0 & s(v24) = 0)))) & ((v5 = 0 & p(v4) = 0 &  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (q(v22) = v23))) | ( ~ (v5 = 0) & q(v4) = v5 &  ! [v22] :  ~ (p(v22) = 0)))))) | (((v7 = 0 &  ~ (v5 = 0) & s(v6) = 0 & p(v4) = v5) | ( ! [v22] :  ! [v23] : (v23 = 0 |  ~ (p(v22) = v23)) &  ! [v22] :  ~ (s(v22) = 0))) & ((s(v10) = v11 &  ! [v22] :  ! [v23] : ( ~ (v11 = 0) | v23 = 0 |  ~ (s(v22) = v23)) &  ! [v22] : (v11 = 0 |  ~ (s(v22) = 0)) & ((v9 = 0 & p(v8) = 0 &  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (q(v22) = v23))) | ( ~ (v9 = 0) & q(v8) = v9 &  ! [v22] :  ~ (p(v22) = 0)))) | ( ! [v22] :  ! [v23] : ( ~ (s(v22) = v23) |  ? [v24] :  ? [v25] : (( ~ (v23 = 0) | ( ~ (v25 = 0) & s(v24) = v25)) & (v23 = 0 | (v25 = 0 & s(v24) = 0)))) & ((v11 = 0 &  ~ (v9 = 0) & q(v8) = v9 & p(v10) = 0) | ( ! [v22] :  ! [v23] : (v23 = 0 |  ~ (q(v22) = v23)) &  ! [v22] :  ~ (p(v22) = 0)))))))) | ( ! [v22] :  ! [v23] : ( ~ (r(v22) = v23) |  ? [v24] :  ? [v25] : (( ~ (v23 = 0) | ( ~ (v25 = 0) & r(v24) = v25)) & (v23 = 0 | (v25 = 0 & r(v24) = 0)))) & ((((v13 = 0 &  ~ (v11 = 0) & s(v12) = 0 & p(v10) = v11) | ( ! [v22] :  ! [v23] : (v23 = 0 |  ~ (p(v22) = v23)) &  ! [v22] :  ~ (s(v22) = 0))) & ((s(v8) = v9 &  ! [v22] :  ! [v23] : ( ~ (v9 = 0) | v23 = 0 |  ~ (s(v22) = v23)) &  ! [v22] : (v9 = 0 |  ~ (s(v22) = 0)) & ((v7 = 0 &  ~ (v5 = 0) & q(v4) = v5 & p(v6) = 0) | ( ! [v22] :  ! [v23] : (v23 = 0 |  ~ (q(v22) = v23)) &  ! [v22] :  ~ (p(v22) = 0)))) | ( ! [v22] :  ! [v23] : ( ~ (s(v22) = v23) |  ? [v24] :  ? [v25] : (( ~ (v23 = 0) | ( ~ (v25 = 0) & s(v24) = v25)) & (v23 = 0 | (v25 = 0 & s(v24) = 0)))) & ((v5 = 0 & p(v4) = 0 &  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (q(v22) = v23))) | ( ~ (v5 = 0) & q(v4) = v5 &  ! [v22] :  ~ (p(v22) = 0)))))) | (((v9 = 0 & s(v8) = 0 &  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (p(v22) = v23))) | ( ~ (v9 = 0) & p(v8) = v9 &  ! [v22] :  ~ (s(v22) = 0))) & ((s(v6) = v7 &  ! [v22] :  ! [v23] : ( ~ (v7 = 0) | v23 = 0 |  ~ (s(v22) = v23)) &  ! [v22] : (v7 = 0 |  ~ (s(v22) = 0)) & ((v5 = 0 & p(v4) = 0 &  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (q(v22) = v23))) | ( ~ (v5 = 0) & q(v4) = v5 &  ! [v22] :  ~ (p(v22) = 0)))) | ( ! [v22] :  ! [v23] : ( ~ (s(v22) = v23) |  ? [v24] :  ? [v25] : (( ~ (v23 = 0) | ( ~ (v25 = 0) & s(v24) = v25)) & (v23 = 0 | (v25 = 0 & s(v24) = 0)))) & ((v7 = 0 &  ~ (v5 = 0) & q(v4) = v5 & p(v6) = 0) | ( ! [v22] :  ! [v23] : (v23 = 0 |  ~ (q(v22) = v23)) &  ! [v22] :  ~ (p(v22) = 0))))))))) & ((q(v18) = v19 &  ! [v22] :  ! [v23] : ( ~ (v19 = 0) | v23 = 0 |  ~ (q(v22) = v23)) &  ! [v22] : (v19 = 0 |  ~ (q(v22) = 0)) & ((v17 = 0 &  ~ (v15 = 0) & s(v14) = v15 & r(v16) = 0) | ( ! [v22] :  ! [v23] : (v23 = 0 |  ~ (s(v22) = v23)) &  ! [v22] :  ~ (r(v22) = 0)))) | ( ! [v22] :  ! [v23] : ( ~ (q(v22) = v23) |  ? [v24] :  ? [v25] : (( ~ (v23 = 0) | ( ~ (v25 = 0) & q(v24) = v25)) & (v23 = 0 | (v25 = 0 & q(v24) = 0)))) & ((v15 = 0 & r(v14) = 0 &  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (s(v22) = v23))) | ( ~ (v15 = 0) & s(v14) = v15 &  ! [v22] :  ~ (r(v22) = 0)))))))))) | ( ! [v22] :  ! [v23] : ( ~ (p(v22) = v23) |  ? [v24] :  ? [v25] : (( ~ (v23 = 0) | ( ~ (v25 = 0) & p(v24) = v25)) & (v23 = 0 | (v25 = 0 & p(v24) = 0)))) & ((((v21 = 0 &  ~ (v19 = 0) & r(v18) = v19 & q(v20) = 0) | ( ! [v22] :  ! [v23] : (v23 = 0 |  ~ (r(v22) = v23)) &  ! [v22] :  ~ (q(v22) = 0))) & ((((r(v16) = v17 &  ! [v22] :  ! [v23] : ( ~ (v17 = 0) | v23 = 0 |  ~ (r(v22) = v23)) &  ! [v22] : (v17 = 0 |  ~ (r(v22) = 0)) & ((((v15 = 0 &  ~ (v13 = 0) & s(v14) = 0 & p(v12) = v13) | ( ! [v22] :  ! [v23] : (v23 = 0 |  ~ (p(v22) = v23)) &  ! [v22] :  ~ (s(v22) = 0))) & ((s(v10) = v11 &  ! [v22] :  ! [v23] : ( ~ (v11 = 0) | v23 = 0 |  ~ (s(v22) = v23)) &  ! [v22] : (v11 = 0 |  ~ (s(v22) = 0)) & ((v9 = 0 &  ~ (v7 = 0) & q(v6) = v7 & p(v8) = 0) | ( ! [v22] :  ! [v23] : (v23 = 0 |  ~ (q(v22) = v23)) &  ! [v22] :  ~ (p(v22) = 0)))) | ( ! [v22] :  ! [v23] : ( ~ (s(v22) = v23) |  ? [v24] :  ? [v25] : (( ~ (v23 = 0) | ( ~ (v25 = 0) & s(v24) = v25)) & (v23 = 0 | (v25 = 0 & s(v24) = 0)))) & ((v7 = 0 & p(v6) = 0 &  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (q(v22) = v23))) | ( ~ (v7 = 0) & q(v6) = v7 &  ! [v22] :  ~ (p(v22) = 0)))))) | (((v11 = 0 & s(v10) = 0 &  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (p(v22) = v23))) | ( ~ (v11 = 0) & p(v10) = v11 &  ! [v22] :  ~ (s(v22) = 0))) & ((s(v8) = v9 &  ! [v22] :  ! [v23] : ( ~ (v9 = 0) | v23 = 0 |  ~ (s(v22) = v23)) &  ! [v22] : (v9 = 0 |  ~ (s(v22) = 0)) & ((v7 = 0 & p(v6) = 0 &  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (q(v22) = v23))) | ( ~ (v7 = 0) & q(v6) = v7 &  ! [v22] :  ~ (p(v22) = 0)))) | ( ! [v22] :  ! [v23] : ( ~ (s(v22) = v23) |  ? [v24] :  ? [v25] : (( ~ (v23 = 0) | ( ~ (v25 = 0) & s(v24) = v25)) & (v23 = 0 | (v25 = 0 & s(v24) = 0)))) & ((v9 = 0 &  ~ (v7 = 0) & q(v6) = v7 & p(v8) = 0) | ( ! [v22] :  ! [v23] : (v23 = 0 |  ~ (q(v22) = v23)) &  ! [v22] :  ~ (p(v22) = 0)))))))) | ( ! [v22] :  ! [v23] : ( ~ (r(v22) = v23) |  ? [v24] :  ? [v25] : (( ~ (v23 = 0) | ( ~ (v25 = 0) & r(v24) = v25)) & (v23 = 0 | (v25 = 0 & r(v24) = 0)))) & ((((v13 = 0 & s(v12) = 0 &  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (p(v22) = v23))) | ( ~ (v13 = 0) & p(v12) = v13 &  ! [v22] :  ~ (s(v22) = 0))) & ((s(v10) = v11 &  ! [v22] :  ! [v23] : ( ~ (v11 = 0) | v23 = 0 |  ~ (s(v22) = v23)) &  ! [v22] : (v11 = 0 |  ~ (s(v22) = 0)) & ((v9 = 0 &  ~ (v7 = 0) & q(v6) = v7 & p(v8) = 0) | ( ! [v22] :  ! [v23] : (v23 = 0 |  ~ (q(v22) = v23)) &  ! [v22] :  ~ (p(v22) = 0)))) | ( ! [v22] :  ! [v23] : ( ~ (s(v22) = v23) |  ? [v24] :  ? [v25] : (( ~ (v23 = 0) | ( ~ (v25 = 0) & s(v24) = v25)) & (v23 = 0 | (v25 = 0 & s(v24) = 0)))) & ((v7 = 0 & p(v6) = 0 &  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (q(v22) = v23))) | ( ~ (v7 = 0) & q(v6) = v7 &  ! [v22] :  ~ (p(v22) = 0)))))) | (((v9 = 0 &  ~ (v7 = 0) & s(v8) = 0 & p(v6) = v7) | ( ! [v22] :  ! [v23] : (v23 = 0 |  ~ (p(v22) = v23)) &  ! [v22] :  ~ (s(v22) = 0))) & ((s(v12) = v13 &  ! [v22] :  ! [v23] : ( ~ (v13 = 0) | v23 = 0 |  ~ (s(v22) = v23)) &  ! [v22] : (v13 = 0 |  ~ (s(v22) = 0)) & ((v11 = 0 & p(v10) = 0 &  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (q(v22) = v23))) | ( ~ (v11 = 0) & q(v10) = v11 &  ! [v22] :  ~ (p(v22) = 0)))) | ( ! [v22] :  ! [v23] : ( ~ (s(v22) = v23) |  ? [v24] :  ? [v25] : (( ~ (v23 = 0) | ( ~ (v25 = 0) & s(v24) = v25)) & (v23 = 0 | (v25 = 0 & s(v24) = 0)))) & ((v13 = 0 &  ~ (v11 = 0) & q(v10) = v11 & p(v12) = 0) | ( ! [v22] :  ! [v23] : (v23 = 0 |  ~ (q(v22) = v23)) &  ! [v22] :  ~ (p(v22) = 0))))))))) & ((q(v4) = v5 &  ! [v22] :  ! [v23] : ( ~ (v5 = 0) | v23 = 0 |  ~ (q(v22) = v23)) &  ! [v22] : (v5 = 0 |  ~ (q(v22) = 0)) & ((v3 = 0 &  ~ (v1 = 0) & s(v0) = v1 & r(v2) = 0) | ( ! [v22] :  ! [v23] : (v23 = 0 |  ~ (s(v22) = v23)) &  ! [v22] :  ~ (r(v22) = 0)))) | ( ! [v22] :  ! [v23] : ( ~ (q(v22) = v23) |  ? [v24] :  ? [v25] : (( ~ (v23 = 0) | ( ~ (v25 = 0) & q(v24) = v25)) & (v23 = 0 | (v25 = 0 & q(v24) = 0)))) & ((v1 = 0 & r(v0) = 0 &  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (s(v22) = v23))) | ( ~ (v1 = 0) & s(v0) = v1 &  ! [v22] :  ~ (r(v22) = 0)))))) | (((r(v8) = v9 &  ! [v22] :  ! [v23] : ( ~ (v9 = 0) | v23 = 0 |  ~ (r(v22) = v23)) &  ! [v22] : (v9 = 0 |  ~ (r(v22) = 0)) & ((((v7 = 0 & s(v6) = 0 &  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (p(v22) = v23))) | ( ~ (v7 = 0) & p(v6) = v7 &  ! [v22] :  ~ (s(v22) = 0))) & ((s(v4) = v5 &  ! [v22] :  ! [v23] : ( ~ (v5 = 0) | v23 = 0 |  ~ (s(v22) = v23)) &  ! [v22] : (v5 = 0 |  ~ (s(v22) = 0)) & ((v3 = 0 &  ~ (v1 = 0) & q(v0) = v1 & p(v2) = 0) | ( ! [v22] :  ! [v23] : (v23 = 0 |  ~ (q(v22) = v23)) &  ! [v22] :  ~ (p(v22) = 0)))) | ( ! [v22] :  ! [v23] : ( ~ (s(v22) = v23) |  ? [v24] :  ? [v25] : (( ~ (v23 = 0) | ( ~ (v25 = 0) & s(v24) = v25)) & (v23 = 0 | (v25 = 0 & s(v24) = 0)))) & ((v1 = 0 & p(v0) = 0 &  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (q(v22) = v23))) | ( ~ (v1 = 0) & q(v0) = v1 &  ! [v22] :  ~ (p(v22) = 0)))))) | (((v3 = 0 &  ~ (v1 = 0) & s(v2) = 0 & p(v0) = v1) | ( ! [v22] :  ! [v23] : (v23 = 0 |  ~ (p(v22) = v23)) &  ! [v22] :  ~ (s(v22) = 0))) & ((s(v6) = v7 &  ! [v22] :  ! [v23] : ( ~ (v7 = 0) | v23 = 0 |  ~ (s(v22) = v23)) &  ! [v22] : (v7 = 0 |  ~ (s(v22) = 0)) & ((v5 = 0 & p(v4) = 0 &  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (q(v22) = v23))) | ( ~ (v5 = 0) & q(v4) = v5 &  ! [v22] :  ~ (p(v22) = 0)))) | ( ! [v22] :  ! [v23] : ( ~ (s(v22) = v23) |  ? [v24] :  ? [v25] : (( ~ (v23 = 0) | ( ~ (v25 = 0) & s(v24) = v25)) & (v23 = 0 | (v25 = 0 & s(v24) = 0)))) & ((v7 = 0 &  ~ (v5 = 0) & q(v4) = v5 & p(v6) = 0) | ( ! [v22] :  ! [v23] : (v23 = 0 |  ~ (q(v22) = v23)) &  ! [v22] :  ~ (p(v22) = 0)))))))) | ( ! [v22] :  ! [v23] : ( ~ (r(v22) = v23) |  ? [v24] :  ? [v25] : (( ~ (v23 = 0) | ( ~ (v25 = 0) & r(v24) = v25)) & (v23 = 0 | (v25 = 0 & r(v24) = 0)))) & ((((v9 = 0 &  ~ (v7 = 0) & s(v8) = 0 & p(v6) = v7) | ( ! [v22] :  ! [v23] : (v23 = 0 |  ~ (p(v22) = v23)) &  ! [v22] :  ~ (s(v22) = 0))) & ((s(v4) = v5 &  ! [v22] :  ! [v23] : ( ~ (v5 = 0) | v23 = 0 |  ~ (s(v22) = v23)) &  ! [v22] : (v5 = 0 |  ~ (s(v22) = 0)) & ((v3 = 0 &  ~ (v1 = 0) & q(v0) = v1 & p(v2) = 0) | ( ! [v22] :  ! [v23] : (v23 = 0 |  ~ (q(v22) = v23)) &  ! [v22] :  ~ (p(v22) = 0)))) | ( ! [v22] :  ! [v23] : ( ~ (s(v22) = v23) |  ? [v24] :  ? [v25] : (( ~ (v23 = 0) | ( ~ (v25 = 0) & s(v24) = v25)) & (v23 = 0 | (v25 = 0 & s(v24) = 0)))) & ((v1 = 0 & p(v0) = 0 &  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (q(v22) = v23))) | ( ~ (v1 = 0) & q(v0) = v1 &  ! [v22] :  ~ (p(v22) = 0)))))) | (((v5 = 0 & s(v4) = 0 &  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (p(v22) = v23))) | ( ~ (v5 = 0) & p(v4) = v5 &  ! [v22] :  ~ (s(v22) = 0))) & ((s(v2) = v3 &  ! [v22] :  ! [v23] : ( ~ (v3 = 0) | v23 = 0 |  ~ (s(v22) = v23)) &  ! [v22] : (v3 = 0 |  ~ (s(v22) = 0)) & ((v1 = 0 & p(v0) = 0 &  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (q(v22) = v23))) | ( ~ (v1 = 0) & q(v0) = v1 &  ! [v22] :  ~ (p(v22) = 0)))) | ( ! [v22] :  ! [v23] : ( ~ (s(v22) = v23) |  ? [v24] :  ? [v25] : (( ~ (v23 = 0) | ( ~ (v25 = 0) & s(v24) = v25)) & (v23 = 0 | (v25 = 0 & s(v24) = 0)))) & ((v3 = 0 &  ~ (v1 = 0) & q(v0) = v1 & p(v2) = 0) | ( ! [v22] :  ! [v23] : (v23 = 0 |  ~ (q(v22) = v23)) &  ! [v22] :  ~ (p(v22) = 0))))))))) & ((q(v12) = v13 &  ! [v22] :  ! [v23] : ( ~ (v13 = 0) | v23 = 0 |  ~ (q(v22) = v23)) &  ! [v22] : (v13 = 0 |  ~ (q(v22) = 0)) & ((v11 = 0 & r(v10) = 0 &  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (s(v22) = v23))) | ( ~ (v11 = 0) & s(v10) = v11 &  ! [v22] :  ~ (r(v22) = 0)))) | ( ! [v22] :  ! [v23] : ( ~ (q(v22) = v23) |  ? [v24] :  ? [v25] : (( ~ (v23 = 0) | ( ~ (v25 = 0) & q(v24) = v25)) & (v23 = 0 | (v25 = 0 & q(v24) = 0)))) & ((v13 = 0 &  ~ (v11 = 0) & s(v10) = v11 & r(v12) = 0) | ( ! [v22] :  ! [v23] : (v23 = 0 |  ~ (s(v22) = v23)) &  ! [v22] :  ~ (r(v22) = 0)))))))) | (((v17 = 0 & q(v16) = 0 &  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (r(v22) = v23))) | ( ~ (v17 = 0) & r(v16) = v17 &  ! [v22] :  ~ (q(v22) = 0))) & ((((r(v10) = v11 &  ! [v22] :  ! [v23] : ( ~ (v11 = 0) | v23 = 0 |  ~ (r(v22) = v23)) &  ! [v22] : (v11 = 0 |  ~ (r(v22) = 0)) & ((((v9 = 0 &  ~ (v7 = 0) & s(v8) = 0 & p(v6) = v7) | ( ! [v22] :  ! [v23] : (v23 = 0 |  ~ (p(v22) = v23)) &  ! [v22] :  ~ (s(v22) = 0))) & ((s(v4) = v5 &  ! [v22] :  ! [v23] : ( ~ (v5 = 0) | v23 = 0 |  ~ (s(v22) = v23)) &  ! [v22] : (v5 = 0 |  ~ (s(v22) = 0)) & ((v3 = 0 &  ~ (v1 = 0) & q(v0) = v1 & p(v2) = 0) | ( ! [v22] :  ! [v23] : (v23 = 0 |  ~ (q(v22) = v23)) &  ! [v22] :  ~ (p(v22) = 0)))) | ( ! [v22] :  ! [v23] : ( ~ (s(v22) = v23) |  ? [v24] :  ? [v25] : (( ~ (v23 = 0) | ( ~ (v25 = 0) & s(v24) = v25)) & (v23 = 0 | (v25 = 0 & s(v24) = 0)))) & ((v1 = 0 & p(v0) = 0 &  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (q(v22) = v23))) | ( ~ (v1 = 0) & q(v0) = v1 &  ! [v22] :  ~ (p(v22) = 0)))))) | (((v5 = 0 & s(v4) = 0 &  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (p(v22) = v23))) | ( ~ (v5 = 0) & p(v4) = v5 &  ! [v22] :  ~ (s(v22) = 0))) & ((s(v2) = v3 &  ! [v22] :  ! [v23] : ( ~ (v3 = 0) | v23 = 0 |  ~ (s(v22) = v23)) &  ! [v22] : (v3 = 0 |  ~ (s(v22) = 0)) & ((v1 = 0 & p(v0) = 0 &  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (q(v22) = v23))) | ( ~ (v1 = 0) & q(v0) = v1 &  ! [v22] :  ~ (p(v22) = 0)))) | ( ! [v22] :  ! [v23] : ( ~ (s(v22) = v23) |  ? [v24] :  ? [v25] : (( ~ (v23 = 0) | ( ~ (v25 = 0) & s(v24) = v25)) & (v23 = 0 | (v25 = 0 & s(v24) = 0)))) & ((v3 = 0 &  ~ (v1 = 0) & q(v0) = v1 & p(v2) = 0) | ( ! [v22] :  ! [v23] : (v23 = 0 |  ~ (q(v22) = v23)) &  ! [v22] :  ~ (p(v22) = 0)))))))) | ( ! [v22] :  ! [v23] : ( ~ (r(v22) = v23) |  ? [v24] :  ? [v25] : (( ~ (v23 = 0) | ( ~ (v25 = 0) & r(v24) = v25)) & (v23 = 0 | (v25 = 0 & r(v24) = 0)))) & ((((v7 = 0 & s(v6) = 0 &  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (p(v22) = v23))) | ( ~ (v7 = 0) & p(v6) = v7 &  ! [v22] :  ~ (s(v22) = 0))) & ((s(v4) = v5 &  ! [v22] :  ! [v23] : ( ~ (v5 = 0) | v23 = 0 |  ~ (s(v22) = v23)) &  ! [v22] : (v5 = 0 |  ~ (s(v22) = 0)) & ((v3 = 0 &  ~ (v1 = 0) & q(v0) = v1 & p(v2) = 0) | ( ! [v22] :  ! [v23] : (v23 = 0 |  ~ (q(v22) = v23)) &  ! [v22] :  ~ (p(v22) = 0)))) | ( ! [v22] :  ! [v23] : ( ~ (s(v22) = v23) |  ? [v24] :  ? [v25] : (( ~ (v23 = 0) | ( ~ (v25 = 0) & s(v24) = v25)) & (v23 = 0 | (v25 = 0 & s(v24) = 0)))) & ((v1 = 0 & p(v0) = 0 &  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (q(v22) = v23))) | ( ~ (v1 = 0) & q(v0) = v1 &  ! [v22] :  ~ (p(v22) = 0)))))) | (((v3 = 0 &  ~ (v1 = 0) & s(v2) = 0 & p(v0) = v1) | ( ! [v22] :  ! [v23] : (v23 = 0 |  ~ (p(v22) = v23)) &  ! [v22] :  ~ (s(v22) = 0))) & ((s(v6) = v7 &  ! [v22] :  ! [v23] : ( ~ (v7 = 0) | v23 = 0 |  ~ (s(v22) = v23)) &  ! [v22] : (v7 = 0 |  ~ (s(v22) = 0)) & ((v5 = 0 & p(v4) = 0 &  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (q(v22) = v23))) | ( ~ (v5 = 0) & q(v4) = v5 &  ! [v22] :  ~ (p(v22) = 0)))) | ( ! [v22] :  ! [v23] : ( ~ (s(v22) = v23) |  ? [v24] :  ? [v25] : (( ~ (v23 = 0) | ( ~ (v25 = 0) & s(v24) = v25)) & (v23 = 0 | (v25 = 0 & s(v24) = 0)))) & ((v7 = 0 &  ~ (v5 = 0) & q(v4) = v5 & p(v6) = 0) | ( ! [v22] :  ! [v23] : (v23 = 0 |  ~ (q(v22) = v23)) &  ! [v22] :  ~ (p(v22) = 0))))))))) & ((q(v14) = v15 &  ! [v22] :  ! [v23] : ( ~ (v15 = 0) | v23 = 0 |  ~ (q(v22) = v23)) &  ! [v22] : (v15 = 0 |  ~ (q(v22) = 0)) & ((v13 = 0 & r(v12) = 0 &  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (s(v22) = v23))) | ( ~ (v13 = 0) & s(v12) = v13 &  ! [v22] :  ~ (r(v22) = 0)))) | ( ! [v22] :  ! [v23] : ( ~ (q(v22) = v23) |  ? [v24] :  ? [v25] : (( ~ (v23 = 0) | ( ~ (v25 = 0) & q(v24) = v25)) & (v23 = 0 | (v25 = 0 & q(v24) = 0)))) & ((v15 = 0 &  ~ (v13 = 0) & s(v12) = v13 & r(v14) = 0) | ( ! [v22] :  ! [v23] : (v23 = 0 |  ~ (s(v22) = v23)) &  ! [v22] :  ~ (r(v22) = 0)))))) | (((r(v8) = v9 &  ! [v22] :  ! [v23] : ( ~ (v9 = 0) | v23 = 0 |  ~ (r(v22) = v23)) &  ! [v22] : (v9 = 0 |  ~ (r(v22) = 0)) & ((((v7 = 0 & s(v6) = 0 &  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (p(v22) = v23))) | ( ~ (v7 = 0) & p(v6) = v7 &  ! [v22] :  ~ (s(v22) = 0))) & ((s(v4) = v5 &  ! [v22] :  ! [v23] : ( ~ (v5 = 0) | v23 = 0 |  ~ (s(v22) = v23)) &  ! [v22] : (v5 = 0 |  ~ (s(v22) = 0)) & ((v3 = 0 &  ~ (v1 = 0) & q(v0) = v1 & p(v2) = 0) | ( ! [v22] :  ! [v23] : (v23 = 0 |  ~ (q(v22) = v23)) &  ! [v22] :  ~ (p(v22) = 0)))) | ( ! [v22] :  ! [v23] : ( ~ (s(v22) = v23) |  ? [v24] :  ? [v25] : (( ~ (v23 = 0) | ( ~ (v25 = 0) & s(v24) = v25)) & (v23 = 0 | (v25 = 0 & s(v24) = 0)))) & ((v1 = 0 & p(v0) = 0 &  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (q(v22) = v23))) | ( ~ (v1 = 0) & q(v0) = v1 &  ! [v22] :  ~ (p(v22) = 0)))))) | (((v3 = 0 &  ~ (v1 = 0) & s(v2) = 0 & p(v0) = v1) | ( ! [v22] :  ! [v23] : (v23 = 0 |  ~ (p(v22) = v23)) &  ! [v22] :  ~ (s(v22) = 0))) & ((s(v6) = v7 &  ! [v22] :  ! [v23] : ( ~ (v7 = 0) | v23 = 0 |  ~ (s(v22) = v23)) &  ! [v22] : (v7 = 0 |  ~ (s(v22) = 0)) & ((v5 = 0 & p(v4) = 0 &  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (q(v22) = v23))) | ( ~ (v5 = 0) & q(v4) = v5 &  ! [v22] :  ~ (p(v22) = 0)))) | ( ! [v22] :  ! [v23] : ( ~ (s(v22) = v23) |  ? [v24] :  ? [v25] : (( ~ (v23 = 0) | ( ~ (v25 = 0) & s(v24) = v25)) & (v23 = 0 | (v25 = 0 & s(v24) = 0)))) & ((v7 = 0 &  ~ (v5 = 0) & q(v4) = v5 & p(v6) = 0) | ( ! [v22] :  ! [v23] : (v23 = 0 |  ~ (q(v22) = v23)) &  ! [v22] :  ~ (p(v22) = 0)))))))) | ( ! [v22] :  ! [v23] : ( ~ (r(v22) = v23) |  ? [v24] :  ? [v25] : (( ~ (v23 = 0) | ( ~ (v25 = 0) & r(v24) = v25)) & (v23 = 0 | (v25 = 0 & r(v24) = 0)))) & ((((v9 = 0 &  ~ (v7 = 0) & s(v8) = 0 & p(v6) = v7) | ( ! [v22] :  ! [v23] : (v23 = 0 |  ~ (p(v22) = v23)) &  ! [v22] :  ~ (s(v22) = 0))) & ((s(v4) = v5 &  ! [v22] :  ! [v23] : ( ~ (v5 = 0) | v23 = 0 |  ~ (s(v22) = v23)) &  ! [v22] : (v5 = 0 |  ~ (s(v22) = 0)) & ((v3 = 0 &  ~ (v1 = 0) & q(v0) = v1 & p(v2) = 0) | ( ! [v22] :  ! [v23] : (v23 = 0 |  ~ (q(v22) = v23)) &  ! [v22] :  ~ (p(v22) = 0)))) | ( ! [v22] :  ! [v23] : ( ~ (s(v22) = v23) |  ? [v24] :  ? [v25] : (( ~ (v23 = 0) | ( ~ (v25 = 0) & s(v24) = v25)) & (v23 = 0 | (v25 = 0 & s(v24) = 0)))) & ((v1 = 0 & p(v0) = 0 &  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (q(v22) = v23))) | ( ~ (v1 = 0) & q(v0) = v1 &  ! [v22] :  ~ (p(v22) = 0)))))) | (((v5 = 0 & s(v4) = 0 &  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (p(v22) = v23))) | ( ~ (v5 = 0) & p(v4) = v5 &  ! [v22] :  ~ (s(v22) = 0))) & ((s(v2) = v3 &  ! [v22] :  ! [v23] : ( ~ (v3 = 0) | v23 = 0 |  ~ (s(v22) = v23)) &  ! [v22] : (v3 = 0 |  ~ (s(v22) = 0)) & ((v1 = 0 & p(v0) = 0 &  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (q(v22) = v23))) | ( ~ (v1 = 0) & q(v0) = v1 &  ! [v22] :  ~ (p(v22) = 0)))) | ( ! [v22] :  ! [v23] : ( ~ (s(v22) = v23) |  ? [v24] :  ? [v25] : (( ~ (v23 = 0) | ( ~ (v25 = 0) & s(v24) = v25)) & (v23 = 0 | (v25 = 0 & s(v24) = 0)))) & ((v3 = 0 &  ~ (v1 = 0) & q(v0) = v1 & p(v2) = 0) | ( ! [v22] :  ! [v23] : (v23 = 0 |  ~ (q(v22) = v23)) &  ! [v22] :  ~ (p(v22) = 0))))))))) & ((q(v14) = v15 &  ! [v22] :  ! [v23] : ( ~ (v15 = 0) | v23 = 0 |  ~ (q(v22) = v23)) &  ! [v22] : (v15 = 0 |  ~ (q(v22) = 0)) & ((v13 = 0 &  ~ (v11 = 0) & s(v10) = v11 & r(v12) = 0) | ( ! [v22] :  ! [v23] : (v23 = 0 |  ~ (s(v22) = v23)) &  ! [v22] :  ~ (r(v22) = 0)))) | ( ! [v22] :  ! [v23] : ( ~ (q(v22) = v23) |  ? [v24] :  ? [v25] : (( ~ (v23 = 0) | ( ~ (v25 = 0) & q(v24) = v25)) & (v23 = 0 | (v25 = 0 & q(v24) = 0)))) & ((v11 = 0 & r(v10) = 0 &  ! [v22] :  ! [v23] : (v23 = 0 |  ~ (s(v22) = v23))) | ( ~ (v11 = 0) & s(v10) = v11 &  ! [v22] :  ~ (r(v22) = 0))))))))))))
% 50.51/14.70  | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10, all_0_11_11, all_0_12_12, all_0_13_13, all_0_14_14, all_0_15_15, all_0_16_16, all_0_17_17, all_0_18_18, all_0_19_19, all_0_20_20, all_0_21_21 yields:
% 50.51/14.70  | (1)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (s(v2) = v1) |  ~ (s(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (r(v2) = v1) |  ~ (r(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (q(v2) = v1) |  ~ (q(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (p(v2) = v1) |  ~ (p(v2) = v0)) &  ? [v0] :  ? [v1] : s(v0) = v1 &  ? [v0] :  ? [v1] : r(v0) = v1 &  ? [v0] :  ? [v1] : q(v0) = v1 &  ? [v0] :  ? [v1] : p(v0) = v1 & ((p(all_0_1_1) = all_0_0_0 &  ! [v0] :  ! [v1] : ( ~ (all_0_0_0 = 0) | v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] : (all_0_0_0 = 0 |  ~ (p(v0) = 0)) & ((((all_0_2_2 = 0 & q(all_0_3_3) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))) | ( ~ (all_0_2_2 = 0) & r(all_0_3_3) = all_0_2_2 &  ! [v0] :  ~ (q(v0) = 0))) & ((((r(all_0_5_5) = all_0_4_4 &  ! [v0] :  ! [v1] : ( ~ (all_0_4_4 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_4_4 = 0 |  ~ (r(v0) = 0)) & ((((all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_7_7) = 0 & p(all_0_9_9) = all_0_8_8) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))) | ( ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_8_8 = 0 & s(all_0_9_9) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_8_8 = 0) & p(all_0_9_9) = all_0_8_8 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (s(v0) = 0)) & ((all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))))) & ((q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (q(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_21_21) = all_0_20_20 & r(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_20_20 = 0 & r(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_20_20 = 0) & s(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (r(v0) = 0)))))) | (((r(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (r(v0) = 0)) & ((((all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))) | ( ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))))) & ((q(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (q(v0) = 0)) & ((all_0_10_10 = 0 & r(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (r(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 & r(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))))))) | (((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & r(all_0_21_21) = all_0_20_20 & q(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] :  ~ (q(v0) = 0))) & ((((r(all_0_7_7) = all_0_6_6 &  ! [v0] :  ! [v1] : ( ~ (all_0_6_6 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_6_6 = 0 |  ~ (r(v0) = 0)) & ((((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_9_9) = 0 & p(all_0_11_11) = all_0_10_10) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_12_12 = 0 & s(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_12_12 = 0) & p(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))) | ( ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & s(all_0_15_15) = 0 & p(all_0_17_17) = all_0_16_16) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))))) & ((q(all_0_3_3) = all_0_2_2 &  ! [v0] :  ! [v1] : ( ~ (all_0_2_2 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_2_2 = 0 |  ~ (q(v0) = 0)) & ((all_0_4_4 = 0 & r(all_0_5_5) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_4_4 = 0) & s(all_0_5_5) = all_0_4_4 &  ! [v0] :  ~ (r(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_2_2 = 0 &  ~ (all_0_4_4 = 0) & s(all_0_5_5) = all_0_4_4 & r(all_0_3_3) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))))) | (((r(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (r(v0) = 0)) & ((((all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & s(all_0_15_15) = 0 & p(all_0_17_17) = all_0_16_16) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))) | ( ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_9_9) = 0 & p(all_0_11_11) = all_0_10_10) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_12_12 = 0 & s(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_12_12 = 0) & p(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))))) & ((q(all_0_3_3) = all_0_2_2 &  ! [v0] :  ! [v1] : ( ~ (all_0_2_2 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_2_2 = 0 |  ~ (q(v0) = 0)) & ((all_0_4_4 = 0 &  ~ (all_0_6_6 = 0) & s(all_0_7_7) = all_0_6_6 & r(all_0_5_5) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_6_6 = 0 & r(all_0_7_7) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_6_6 = 0) & s(all_0_7_7) = all_0_6_6 &  ! [v0] :  ~ (r(v0) = 0)))))))))) | ( ! [v0] :  ! [v1] : ( ~ (p(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & p(v2) = v3)) & (v1 = 0 | (v3 = 0 & p(v2) = 0)))) & ((((all_0_0_0 = 0 &  ~ (all_0_2_2 = 0) & r(all_0_3_3) = all_0_2_2 & q(all_0_1_1) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] :  ~ (q(v0) = 0))) & ((((r(all_0_5_5) = all_0_4_4 &  ! [v0] :  ! [v1] : ( ~ (all_0_4_4 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_4_4 = 0 |  ~ (r(v0) = 0)) & ((((all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_7_7) = 0 & p(all_0_9_9) = all_0_8_8) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))) | ( ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_8_8 = 0 & s(all_0_9_9) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_8_8 = 0) & p(all_0_9_9) = all_0_8_8 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (s(v0) = 0)) & ((all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))))) & ((q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (q(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_21_21) = all_0_20_20 & r(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_20_20 = 0 & r(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_20_20 = 0) & s(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (r(v0) = 0)))))) | (((r(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (r(v0) = 0)) & ((((all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))) | ( ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))))) & ((q(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (q(v0) = 0)) & ((all_0_10_10 = 0 & r(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (r(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 & r(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))))))) | (((all_0_4_4 = 0 & q(all_0_5_5) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))) | ( ~ (all_0_4_4 = 0) & r(all_0_5_5) = all_0_4_4 &  ! [v0] :  ~ (q(v0) = 0))) & ((((r(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (r(v0) = 0)) & ((((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))) | ( ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))))) & ((q(all_0_7_7) = all_0_6_6 &  ! [v0] :  ! [v1] : ( ~ (all_0_6_6 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_6_6 = 0 |  ~ (q(v0) = 0)) & ((all_0_8_8 = 0 & r(all_0_9_9) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_8_8 = 0) & s(all_0_9_9) = all_0_8_8 &  ! [v0] :  ~ (r(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_9_9) = all_0_8_8 & r(all_0_7_7) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))))) | (((r(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (r(v0) = 0)) & ((((all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))) | ( ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))))) & ((q(all_0_7_7) = all_0_6_6 &  ! [v0] :  ! [v1] : ( ~ (all_0_6_6 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_6_6 = 0 |  ~ (q(v0) = 0)) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 & r(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_10_10 = 0 & r(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (r(v0) = 0)))))))))))
% 50.51/14.76  |
% 50.51/14.76  | Applying alpha-rule on (1) yields:
% 50.51/14.76  | (2)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (q(v2) = v1) |  ~ (q(v2) = v0))
% 50.51/14.76  | (3)  ? [v0] :  ? [v1] : s(v0) = v1
% 50.51/14.76  | (4)  ? [v0] :  ? [v1] : p(v0) = v1
% 50.51/14.76  | (5)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (r(v2) = v1) |  ~ (r(v2) = v0))
% 50.51/14.76  | (6)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (s(v2) = v1) |  ~ (s(v2) = v0))
% 50.51/14.76  | (7)  ? [v0] :  ? [v1] : r(v0) = v1
% 50.51/14.76  | (8) (p(all_0_1_1) = all_0_0_0 &  ! [v0] :  ! [v1] : ( ~ (all_0_0_0 = 0) | v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] : (all_0_0_0 = 0 |  ~ (p(v0) = 0)) & ((((all_0_2_2 = 0 & q(all_0_3_3) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))) | ( ~ (all_0_2_2 = 0) & r(all_0_3_3) = all_0_2_2 &  ! [v0] :  ~ (q(v0) = 0))) & ((((r(all_0_5_5) = all_0_4_4 &  ! [v0] :  ! [v1] : ( ~ (all_0_4_4 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_4_4 = 0 |  ~ (r(v0) = 0)) & ((((all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_7_7) = 0 & p(all_0_9_9) = all_0_8_8) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))) | ( ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_8_8 = 0 & s(all_0_9_9) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_8_8 = 0) & p(all_0_9_9) = all_0_8_8 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (s(v0) = 0)) & ((all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))))) & ((q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (q(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_21_21) = all_0_20_20 & r(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_20_20 = 0 & r(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_20_20 = 0) & s(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (r(v0) = 0)))))) | (((r(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (r(v0) = 0)) & ((((all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))) | ( ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))))) & ((q(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (q(v0) = 0)) & ((all_0_10_10 = 0 & r(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (r(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 & r(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))))))) | (((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & r(all_0_21_21) = all_0_20_20 & q(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] :  ~ (q(v0) = 0))) & ((((r(all_0_7_7) = all_0_6_6 &  ! [v0] :  ! [v1] : ( ~ (all_0_6_6 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_6_6 = 0 |  ~ (r(v0) = 0)) & ((((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_9_9) = 0 & p(all_0_11_11) = all_0_10_10) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_12_12 = 0 & s(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_12_12 = 0) & p(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))) | ( ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & s(all_0_15_15) = 0 & p(all_0_17_17) = all_0_16_16) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))))) & ((q(all_0_3_3) = all_0_2_2 &  ! [v0] :  ! [v1] : ( ~ (all_0_2_2 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_2_2 = 0 |  ~ (q(v0) = 0)) & ((all_0_4_4 = 0 & r(all_0_5_5) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_4_4 = 0) & s(all_0_5_5) = all_0_4_4 &  ! [v0] :  ~ (r(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_2_2 = 0 &  ~ (all_0_4_4 = 0) & s(all_0_5_5) = all_0_4_4 & r(all_0_3_3) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))))) | (((r(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (r(v0) = 0)) & ((((all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & s(all_0_15_15) = 0 & p(all_0_17_17) = all_0_16_16) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))) | ( ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_9_9) = 0 & p(all_0_11_11) = all_0_10_10) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_12_12 = 0 & s(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_12_12 = 0) & p(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))))) & ((q(all_0_3_3) = all_0_2_2 &  ! [v0] :  ! [v1] : ( ~ (all_0_2_2 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_2_2 = 0 |  ~ (q(v0) = 0)) & ((all_0_4_4 = 0 &  ~ (all_0_6_6 = 0) & s(all_0_7_7) = all_0_6_6 & r(all_0_5_5) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_6_6 = 0 & r(all_0_7_7) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_6_6 = 0) & s(all_0_7_7) = all_0_6_6 &  ! [v0] :  ~ (r(v0) = 0)))))))))) | ( ! [v0] :  ! [v1] : ( ~ (p(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & p(v2) = v3)) & (v1 = 0 | (v3 = 0 & p(v2) = 0)))) & ((((all_0_0_0 = 0 &  ~ (all_0_2_2 = 0) & r(all_0_3_3) = all_0_2_2 & q(all_0_1_1) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] :  ~ (q(v0) = 0))) & ((((r(all_0_5_5) = all_0_4_4 &  ! [v0] :  ! [v1] : ( ~ (all_0_4_4 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_4_4 = 0 |  ~ (r(v0) = 0)) & ((((all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_7_7) = 0 & p(all_0_9_9) = all_0_8_8) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))) | ( ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_8_8 = 0 & s(all_0_9_9) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_8_8 = 0) & p(all_0_9_9) = all_0_8_8 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (s(v0) = 0)) & ((all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))))) & ((q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (q(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_21_21) = all_0_20_20 & r(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_20_20 = 0 & r(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_20_20 = 0) & s(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (r(v0) = 0)))))) | (((r(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (r(v0) = 0)) & ((((all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))) | ( ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))))) & ((q(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (q(v0) = 0)) & ((all_0_10_10 = 0 & r(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (r(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 & r(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))))))) | (((all_0_4_4 = 0 & q(all_0_5_5) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))) | ( ~ (all_0_4_4 = 0) & r(all_0_5_5) = all_0_4_4 &  ! [v0] :  ~ (q(v0) = 0))) & ((((r(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (r(v0) = 0)) & ((((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))) | ( ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))))) & ((q(all_0_7_7) = all_0_6_6 &  ! [v0] :  ! [v1] : ( ~ (all_0_6_6 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_6_6 = 0 |  ~ (q(v0) = 0)) & ((all_0_8_8 = 0 & r(all_0_9_9) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_8_8 = 0) & s(all_0_9_9) = all_0_8_8 &  ! [v0] :  ~ (r(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_9_9) = all_0_8_8 & r(all_0_7_7) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))))) | (((r(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (r(v0) = 0)) & ((((all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))) | ( ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))))) & ((q(all_0_7_7) = all_0_6_6 &  ! [v0] :  ! [v1] : ( ~ (all_0_6_6 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_6_6 = 0 |  ~ (q(v0) = 0)) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 & r(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_10_10 = 0 & r(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (r(v0) = 0))))))))))
% 50.94/14.80  | (9)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (p(v2) = v1) |  ~ (p(v2) = v0))
% 50.94/14.80  | (10)  ? [v0] :  ? [v1] : q(v0) = v1
% 50.94/14.80  |
% 50.94/14.80  +-Applying beta-rule and splitting (8), into two cases.
% 50.94/14.80  |-Branch one:
% 50.94/14.80  | (11) p(all_0_1_1) = all_0_0_0 &  ! [v0] :  ! [v1] : ( ~ (all_0_0_0 = 0) | v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] : (all_0_0_0 = 0 |  ~ (p(v0) = 0)) & ((((all_0_2_2 = 0 & q(all_0_3_3) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))) | ( ~ (all_0_2_2 = 0) & r(all_0_3_3) = all_0_2_2 &  ! [v0] :  ~ (q(v0) = 0))) & ((((r(all_0_5_5) = all_0_4_4 &  ! [v0] :  ! [v1] : ( ~ (all_0_4_4 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_4_4 = 0 |  ~ (r(v0) = 0)) & ((((all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_7_7) = 0 & p(all_0_9_9) = all_0_8_8) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))) | ( ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_8_8 = 0 & s(all_0_9_9) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_8_8 = 0) & p(all_0_9_9) = all_0_8_8 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (s(v0) = 0)) & ((all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))))) & ((q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (q(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_21_21) = all_0_20_20 & r(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_20_20 = 0 & r(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_20_20 = 0) & s(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (r(v0) = 0)))))) | (((r(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (r(v0) = 0)) & ((((all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))) | ( ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))))) & ((q(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (q(v0) = 0)) & ((all_0_10_10 = 0 & r(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (r(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 & r(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))))))) | (((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & r(all_0_21_21) = all_0_20_20 & q(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] :  ~ (q(v0) = 0))) & ((((r(all_0_7_7) = all_0_6_6 &  ! [v0] :  ! [v1] : ( ~ (all_0_6_6 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_6_6 = 0 |  ~ (r(v0) = 0)) & ((((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_9_9) = 0 & p(all_0_11_11) = all_0_10_10) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_12_12 = 0 & s(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_12_12 = 0) & p(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))) | ( ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & s(all_0_15_15) = 0 & p(all_0_17_17) = all_0_16_16) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))))) & ((q(all_0_3_3) = all_0_2_2 &  ! [v0] :  ! [v1] : ( ~ (all_0_2_2 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_2_2 = 0 |  ~ (q(v0) = 0)) & ((all_0_4_4 = 0 & r(all_0_5_5) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_4_4 = 0) & s(all_0_5_5) = all_0_4_4 &  ! [v0] :  ~ (r(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_2_2 = 0 &  ~ (all_0_4_4 = 0) & s(all_0_5_5) = all_0_4_4 & r(all_0_3_3) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))))) | (((r(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (r(v0) = 0)) & ((((all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & s(all_0_15_15) = 0 & p(all_0_17_17) = all_0_16_16) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))) | ( ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_9_9) = 0 & p(all_0_11_11) = all_0_10_10) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_12_12 = 0 & s(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_12_12 = 0) & p(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))))) & ((q(all_0_3_3) = all_0_2_2 &  ! [v0] :  ! [v1] : ( ~ (all_0_2_2 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_2_2 = 0 |  ~ (q(v0) = 0)) & ((all_0_4_4 = 0 &  ~ (all_0_6_6 = 0) & s(all_0_7_7) = all_0_6_6 & r(all_0_5_5) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_6_6 = 0 & r(all_0_7_7) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_6_6 = 0) & s(all_0_7_7) = all_0_6_6 &  ! [v0] :  ~ (r(v0) = 0)))))))))
% 50.94/14.82  |
% 50.94/14.82  	| Applying alpha-rule on (11) yields:
% 50.94/14.82  	| (12) p(all_0_1_1) = all_0_0_0
% 50.94/14.82  	| (13)  ! [v0] :  ! [v1] : ( ~ (all_0_0_0 = 0) | v1 = 0 |  ~ (p(v0) = v1))
% 50.94/14.82  	| (14)  ! [v0] : (all_0_0_0 = 0 |  ~ (p(v0) = 0))
% 50.94/14.82  	| (15) (((all_0_2_2 = 0 & q(all_0_3_3) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))) | ( ~ (all_0_2_2 = 0) & r(all_0_3_3) = all_0_2_2 &  ! [v0] :  ~ (q(v0) = 0))) & ((((r(all_0_5_5) = all_0_4_4 &  ! [v0] :  ! [v1] : ( ~ (all_0_4_4 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_4_4 = 0 |  ~ (r(v0) = 0)) & ((((all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_7_7) = 0 & p(all_0_9_9) = all_0_8_8) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))) | ( ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_8_8 = 0 & s(all_0_9_9) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_8_8 = 0) & p(all_0_9_9) = all_0_8_8 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (s(v0) = 0)) & ((all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))))) & ((q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (q(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_21_21) = all_0_20_20 & r(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_20_20 = 0 & r(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_20_20 = 0) & s(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (r(v0) = 0)))))) | (((r(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (r(v0) = 0)) & ((((all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))) | ( ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))))) & ((q(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (q(v0) = 0)) & ((all_0_10_10 = 0 & r(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (r(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 & r(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))))))) | (((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & r(all_0_21_21) = all_0_20_20 & q(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] :  ~ (q(v0) = 0))) & ((((r(all_0_7_7) = all_0_6_6 &  ! [v0] :  ! [v1] : ( ~ (all_0_6_6 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_6_6 = 0 |  ~ (r(v0) = 0)) & ((((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_9_9) = 0 & p(all_0_11_11) = all_0_10_10) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_12_12 = 0 & s(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_12_12 = 0) & p(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))) | ( ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & s(all_0_15_15) = 0 & p(all_0_17_17) = all_0_16_16) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))))) & ((q(all_0_3_3) = all_0_2_2 &  ! [v0] :  ! [v1] : ( ~ (all_0_2_2 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_2_2 = 0 |  ~ (q(v0) = 0)) & ((all_0_4_4 = 0 & r(all_0_5_5) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_4_4 = 0) & s(all_0_5_5) = all_0_4_4 &  ! [v0] :  ~ (r(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_2_2 = 0 &  ~ (all_0_4_4 = 0) & s(all_0_5_5) = all_0_4_4 & r(all_0_3_3) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))))) | (((r(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (r(v0) = 0)) & ((((all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & s(all_0_15_15) = 0 & p(all_0_17_17) = all_0_16_16) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))) | ( ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_9_9) = 0 & p(all_0_11_11) = all_0_10_10) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_12_12 = 0 & s(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_12_12 = 0) & p(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))))) & ((q(all_0_3_3) = all_0_2_2 &  ! [v0] :  ! [v1] : ( ~ (all_0_2_2 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_2_2 = 0 |  ~ (q(v0) = 0)) & ((all_0_4_4 = 0 &  ~ (all_0_6_6 = 0) & s(all_0_7_7) = all_0_6_6 & r(all_0_5_5) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_6_6 = 0 & r(all_0_7_7) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_6_6 = 0) & s(all_0_7_7) = all_0_6_6 &  ! [v0] :  ~ (r(v0) = 0))))))))
% 50.94/14.84  	|
% 50.94/14.84  	+-Applying beta-rule and splitting (15), into two cases.
% 50.94/14.84  	|-Branch one:
% 50.94/14.84  	| (16) ((all_0_2_2 = 0 & q(all_0_3_3) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))) | ( ~ (all_0_2_2 = 0) & r(all_0_3_3) = all_0_2_2 &  ! [v0] :  ~ (q(v0) = 0))) & ((((r(all_0_5_5) = all_0_4_4 &  ! [v0] :  ! [v1] : ( ~ (all_0_4_4 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_4_4 = 0 |  ~ (r(v0) = 0)) & ((((all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_7_7) = 0 & p(all_0_9_9) = all_0_8_8) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))) | ( ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_8_8 = 0 & s(all_0_9_9) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_8_8 = 0) & p(all_0_9_9) = all_0_8_8 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (s(v0) = 0)) & ((all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))))) & ((q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (q(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_21_21) = all_0_20_20 & r(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_20_20 = 0 & r(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_20_20 = 0) & s(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (r(v0) = 0)))))) | (((r(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (r(v0) = 0)) & ((((all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))) | ( ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))))) & ((q(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (q(v0) = 0)) & ((all_0_10_10 = 0 & r(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (r(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 & r(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))))))
% 50.94/14.84  	|
% 50.94/14.84  		| Applying alpha-rule on (16) yields:
% 50.94/14.84  		| (17) (all_0_2_2 = 0 & q(all_0_3_3) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))) | ( ~ (all_0_2_2 = 0) & r(all_0_3_3) = all_0_2_2 &  ! [v0] :  ~ (q(v0) = 0))
% 50.94/14.84  		| (18) (((r(all_0_5_5) = all_0_4_4 &  ! [v0] :  ! [v1] : ( ~ (all_0_4_4 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_4_4 = 0 |  ~ (r(v0) = 0)) & ((((all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_7_7) = 0 & p(all_0_9_9) = all_0_8_8) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))) | ( ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_8_8 = 0 & s(all_0_9_9) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_8_8 = 0) & p(all_0_9_9) = all_0_8_8 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (s(v0) = 0)) & ((all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))))) & ((q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (q(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_21_21) = all_0_20_20 & r(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_20_20 = 0 & r(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_20_20 = 0) & s(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (r(v0) = 0)))))) | (((r(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (r(v0) = 0)) & ((((all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))) | ( ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))))) & ((q(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (q(v0) = 0)) & ((all_0_10_10 = 0 & r(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (r(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 & r(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0))))))
% 50.94/14.85  		|
% 50.94/14.85  		+-Applying beta-rule and splitting (18), into two cases.
% 50.94/14.85  		|-Branch one:
% 50.94/14.85  		| (19) ((r(all_0_5_5) = all_0_4_4 &  ! [v0] :  ! [v1] : ( ~ (all_0_4_4 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_4_4 = 0 |  ~ (r(v0) = 0)) & ((((all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_7_7) = 0 & p(all_0_9_9) = all_0_8_8) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))) | ( ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_8_8 = 0 & s(all_0_9_9) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_8_8 = 0) & p(all_0_9_9) = all_0_8_8 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (s(v0) = 0)) & ((all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))))) & ((q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (q(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_21_21) = all_0_20_20 & r(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_20_20 = 0 & r(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_20_20 = 0) & s(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (r(v0) = 0)))))
% 50.94/14.86  		|
% 50.94/14.86  			| Applying alpha-rule on (19) yields:
% 50.94/14.86  			| (20) (r(all_0_5_5) = all_0_4_4 &  ! [v0] :  ! [v1] : ( ~ (all_0_4_4 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_4_4 = 0 |  ~ (r(v0) = 0)) & ((((all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_7_7) = 0 & p(all_0_9_9) = all_0_8_8) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))) | ( ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_8_8 = 0 & s(all_0_9_9) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_8_8 = 0) & p(all_0_9_9) = all_0_8_8 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (s(v0) = 0)) & ((all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))))
% 50.94/14.86  			| (21) (q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (q(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_21_21) = all_0_20_20 & r(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_20_20 = 0 & r(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_20_20 = 0) & s(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (r(v0) = 0))))
% 50.94/14.86  			|
% 50.94/14.86  			+-Applying beta-rule and splitting (21), into two cases.
% 50.94/14.86  			|-Branch one:
% 50.94/14.86  			| (22) q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (q(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_21_21) = all_0_20_20 & r(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))
% 50.94/14.86  			|
% 50.94/14.86  				| Applying alpha-rule on (22) yields:
% 50.94/14.86  				| (23) q(all_0_17_17) = all_0_16_16
% 50.94/14.86  				| (24)  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (q(v0) = v1))
% 50.94/14.86  				| (25)  ! [v0] : (all_0_16_16 = 0 |  ~ (q(v0) = 0))
% 50.94/14.86  				| (26) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_21_21) = all_0_20_20 & r(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0))
% 50.94/14.86  				|
% 50.94/14.86  				+-Applying beta-rule and splitting (20), into two cases.
% 50.94/14.86  				|-Branch one:
% 50.94/14.86  				| (27) r(all_0_5_5) = all_0_4_4 &  ! [v0] :  ! [v1] : ( ~ (all_0_4_4 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_4_4 = 0 |  ~ (r(v0) = 0)) & ((((all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_7_7) = 0 & p(all_0_9_9) = all_0_8_8) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))
% 50.94/14.86  				|
% 50.94/14.86  					| Applying alpha-rule on (27) yields:
% 50.94/14.86  					| (28) r(all_0_5_5) = all_0_4_4
% 50.94/14.86  					| (29)  ! [v0] :  ! [v1] : ( ~ (all_0_4_4 = 0) | v1 = 0 |  ~ (r(v0) = v1))
% 50.94/14.86  					| (30)  ! [v0] : (all_0_4_4 = 0 |  ~ (r(v0) = 0))
% 50.94/14.86  					| (31) (((all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_7_7) = 0 & p(all_0_9_9) = all_0_8_8) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))
% 50.94/14.87  					|
% 50.94/14.87  					+-Applying beta-rule and splitting (26), into two cases.
% 50.94/14.87  					|-Branch one:
% 50.94/14.87  					| (32) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_21_21) = all_0_20_20 & r(all_0_19_19) = 0
% 50.94/14.87  					|
% 50.94/14.87  						| Applying alpha-rule on (32) yields:
% 50.94/14.87  						| (33) all_0_18_18 = 0
% 50.94/14.87  						| (34)  ~ (all_0_20_20 = 0)
% 50.94/14.87  						| (35) s(all_0_21_21) = all_0_20_20
% 50.94/14.87  						| (36) r(all_0_19_19) = 0
% 50.94/14.87  						|
% 50.94/14.87  						| Instantiating formula (30) with all_0_19_19 and discharging atoms r(all_0_19_19) = 0, yields:
% 50.94/14.87  						| (37) all_0_4_4 = 0
% 50.94/14.87  						|
% 50.94/14.87  						+-Applying beta-rule and splitting (17), into two cases.
% 50.94/14.87  						|-Branch one:
% 50.94/14.87  						| (38) all_0_2_2 = 0 & q(all_0_3_3) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 50.94/14.87  						|
% 50.94/14.87  							| Applying alpha-rule on (38) yields:
% 50.94/14.87  							| (39) all_0_2_2 = 0
% 50.94/14.87  							| (40) q(all_0_3_3) = 0
% 50.94/14.87  							| (41)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 50.94/14.87  							|
% 50.94/14.87  							| Instantiating formula (25) with all_0_3_3 and discharging atoms q(all_0_3_3) = 0, yields:
% 50.94/14.87  							| (42) all_0_16_16 = 0
% 50.94/14.87  							|
% 50.94/14.87  							+-Applying beta-rule and splitting (31), into two cases.
% 50.94/14.87  							|-Branch one:
% 50.94/14.87  							| (43) ((all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_7_7) = 0 & p(all_0_9_9) = all_0_8_8) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))))
% 50.94/14.87  							|
% 50.94/14.87  								| Applying alpha-rule on (43) yields:
% 50.94/14.87  								| (44) (all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_7_7) = 0 & p(all_0_9_9) = all_0_8_8) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))
% 50.94/14.87  								| (45) (s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0))))
% 50.94/14.87  								|
% 50.94/14.87  								+-Applying beta-rule and splitting (45), into two cases.
% 50.94/14.87  								|-Branch one:
% 50.94/14.87  								| (46) s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 50.94/14.87  								|
% 50.94/14.87  									| Applying alpha-rule on (46) yields:
% 50.94/14.87  									| (47) s(all_0_11_11) = all_0_10_10
% 50.94/14.87  									| (48)  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 50.94/14.87  									| (49)  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0))
% 50.94/14.87  									| (50) (all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 50.94/14.87  									|
% 50.94/14.87  									| Instantiating formula (48) with all_0_20_20, all_0_21_21 and discharging atoms s(all_0_21_21) = all_0_20_20, yields:
% 50.94/14.87  									| (51)  ~ (all_0_10_10 = 0) | all_0_20_20 = 0
% 50.94/14.87  									|
% 50.94/14.87  									+-Applying beta-rule and splitting (51), into two cases.
% 50.94/14.87  									|-Branch one:
% 50.94/14.87  									| (52)  ~ (all_0_10_10 = 0)
% 50.94/14.87  									|
% 50.94/14.87  										+-Applying beta-rule and splitting (44), into two cases.
% 50.94/14.87  										|-Branch one:
% 50.94/14.87  										| (53) all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_7_7) = 0 & p(all_0_9_9) = all_0_8_8
% 50.94/14.87  										|
% 50.94/14.87  											| Applying alpha-rule on (53) yields:
% 50.94/14.87  											| (54) all_0_6_6 = 0
% 50.94/14.87  											| (55)  ~ (all_0_8_8 = 0)
% 50.94/14.87  											| (56) s(all_0_7_7) = 0
% 50.94/14.87  											| (57) p(all_0_9_9) = all_0_8_8
% 50.94/14.87  											|
% 50.94/14.87  											| Instantiating formula (49) with all_0_7_7 and discharging atoms s(all_0_7_7) = 0, yields:
% 50.94/14.87  											| (58) all_0_10_10 = 0
% 50.94/14.87  											|
% 50.94/14.87  											| Equations (58) can reduce 52 to:
% 50.94/14.87  											| (59) $false
% 50.94/14.87  											|
% 50.94/14.87  											|-The branch is then unsatisfiable
% 50.94/14.87  										|-Branch two:
% 50.94/14.87  										| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 50.94/14.87  										|
% 50.94/14.87  											| Applying alpha-rule on (60) yields:
% 50.94/14.87  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 50.94/14.87  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 50.94/14.87  											|
% 50.94/14.87  											| Instantiating formula (61) with all_0_0_0, all_0_1_1 and discharging atoms p(all_0_1_1) = all_0_0_0, yields:
% 50.94/14.87  											| (63) all_0_0_0 = 0
% 50.94/14.87  											|
% 50.94/14.87  											| From (63) and (12) follows:
% 50.94/14.87  											| (64) p(all_0_1_1) = 0
% 50.94/14.87  											|
% 50.94/14.87  											+-Applying beta-rule and splitting (50), into two cases.
% 50.94/14.87  											|-Branch one:
% 50.94/14.87  											| (65) all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0
% 50.94/14.87  											|
% 50.94/14.88  												| Applying alpha-rule on (65) yields:
% 50.94/14.88  												| (66) all_0_12_12 = 0
% 50.94/14.88  												| (67)  ~ (all_0_14_14 = 0)
% 50.94/14.88  												| (68) q(all_0_15_15) = all_0_14_14
% 50.94/14.88  												| (69) p(all_0_13_13) = 0
% 50.94/14.88  												|
% 50.94/14.88  												| Instantiating formula (24) with all_0_14_14, all_0_15_15 and discharging atoms q(all_0_15_15) = all_0_14_14, yields:
% 50.94/14.88  												| (70)  ~ (all_0_16_16 = 0) | all_0_14_14 = 0
% 50.94/14.88  												|
% 50.94/14.88  												+-Applying beta-rule and splitting (70), into two cases.
% 50.94/14.88  												|-Branch one:
% 50.94/14.88  												| (71)  ~ (all_0_16_16 = 0)
% 50.94/14.88  												|
% 50.94/14.88  													| Equations (42) can reduce 71 to:
% 50.94/14.88  													| (59) $false
% 50.94/14.88  													|
% 50.94/14.88  													|-The branch is then unsatisfiable
% 50.94/14.88  												|-Branch two:
% 50.94/14.88  												| (42) all_0_16_16 = 0
% 50.94/14.88  												| (74) all_0_14_14 = 0
% 50.94/14.88  												|
% 50.94/14.88  													| Equations (74) can reduce 67 to:
% 50.94/14.88  													| (59) $false
% 50.94/14.88  													|
% 50.94/14.88  													|-The branch is then unsatisfiable
% 50.94/14.88  											|-Branch two:
% 50.94/14.88  											| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 50.94/14.88  											|
% 50.94/14.88  												| Applying alpha-rule on (76) yields:
% 50.94/14.88  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 50.94/14.88  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 50.94/14.88  												|
% 50.94/14.88  												| Instantiating formula (78) with all_0_1_1 and discharging atoms p(all_0_1_1) = 0, yields:
% 50.94/14.88  												| (79) $false
% 50.94/14.88  												|
% 50.94/14.88  												|-The branch is then unsatisfiable
% 50.94/14.88  									|-Branch two:
% 50.94/14.88  									| (58) all_0_10_10 = 0
% 50.94/14.88  									| (81) all_0_20_20 = 0
% 50.94/14.88  									|
% 50.94/14.88  										| Equations (81) can reduce 34 to:
% 50.94/14.88  										| (59) $false
% 50.94/14.88  										|
% 50.94/14.88  										|-The branch is then unsatisfiable
% 50.94/14.88  								|-Branch two:
% 50.94/14.88  								| (83)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))
% 50.94/14.88  								|
% 50.94/14.88  									| Applying alpha-rule on (83) yields:
% 50.94/14.88  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 50.94/14.88  									| (85) (all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0))
% 50.94/14.88  									|
% 50.94/14.88  									| Instantiating formula (84) with all_0_20_20, all_0_21_21 and discharging atoms s(all_0_21_21) = all_0_20_20, yields:
% 50.94/14.88  									| (86)  ? [v0] :  ? [v1] : (( ~ (all_0_20_20 = 0) | ( ~ (v1 = 0) & s(v0) = v1)) & (all_0_20_20 = 0 | (v1 = 0 & s(v0) = 0)))
% 50.94/14.88  									|
% 50.94/14.88  									| Instantiating (86) with all_67_0_30, all_67_1_31 yields:
% 50.94/14.88  									| (87) ( ~ (all_0_20_20 = 0) | ( ~ (all_67_0_30 = 0) & s(all_67_1_31) = all_67_0_30)) & (all_0_20_20 = 0 | (all_67_0_30 = 0 & s(all_67_1_31) = 0))
% 50.94/14.88  									|
% 50.94/14.88  									| Applying alpha-rule on (87) yields:
% 50.94/14.88  									| (88)  ~ (all_0_20_20 = 0) | ( ~ (all_67_0_30 = 0) & s(all_67_1_31) = all_67_0_30)
% 50.94/14.88  									| (89) all_0_20_20 = 0 | (all_67_0_30 = 0 & s(all_67_1_31) = 0)
% 50.94/14.88  									|
% 50.94/14.88  									+-Applying beta-rule and splitting (89), into two cases.
% 50.94/14.88  									|-Branch one:
% 50.94/14.88  									| (81) all_0_20_20 = 0
% 50.94/14.88  									|
% 50.94/14.88  										| Equations (81) can reduce 34 to:
% 50.94/14.88  										| (59) $false
% 50.94/14.88  										|
% 50.94/14.88  										|-The branch is then unsatisfiable
% 50.94/14.88  									|-Branch two:
% 50.94/14.88  									| (34)  ~ (all_0_20_20 = 0)
% 50.94/14.88  									| (93) all_67_0_30 = 0 & s(all_67_1_31) = 0
% 50.94/14.88  									|
% 50.94/14.88  										| Applying alpha-rule on (93) yields:
% 50.94/14.88  										| (94) all_67_0_30 = 0
% 50.94/14.88  										| (95) s(all_67_1_31) = 0
% 50.94/14.88  										|
% 50.94/14.88  										+-Applying beta-rule and splitting (44), into two cases.
% 50.94/14.88  										|-Branch one:
% 50.94/14.88  										| (53) all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_7_7) = 0 & p(all_0_9_9) = all_0_8_8
% 50.94/14.88  										|
% 50.94/14.88  											| Applying alpha-rule on (53) yields:
% 50.94/14.88  											| (54) all_0_6_6 = 0
% 50.94/14.88  											| (55)  ~ (all_0_8_8 = 0)
% 50.94/14.88  											| (56) s(all_0_7_7) = 0
% 50.94/14.88  											| (57) p(all_0_9_9) = all_0_8_8
% 50.94/14.88  											|
% 50.94/14.88  											| Instantiating formula (13) with all_0_8_8, all_0_9_9 and discharging atoms p(all_0_9_9) = all_0_8_8, yields:
% 50.94/14.88  											| (101)  ~ (all_0_0_0 = 0) | all_0_8_8 = 0
% 50.94/14.88  											|
% 50.94/14.88  											+-Applying beta-rule and splitting (101), into two cases.
% 50.94/14.88  											|-Branch one:
% 50.94/14.88  											| (102)  ~ (all_0_0_0 = 0)
% 50.94/14.88  											|
% 50.94/14.88  												+-Applying beta-rule and splitting (85), into two cases.
% 50.94/14.88  												|-Branch one:
% 50.94/14.88  												| (103) all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 50.94/14.88  												|
% 50.94/14.88  													| Applying alpha-rule on (103) yields:
% 50.94/14.88  													| (74) all_0_14_14 = 0
% 50.94/14.88  													| (105) p(all_0_15_15) = 0
% 50.94/14.88  													| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 50.94/14.88  													|
% 50.94/14.88  													| Instantiating formula (14) with all_0_15_15 and discharging atoms p(all_0_15_15) = 0, yields:
% 50.94/14.88  													| (63) all_0_0_0 = 0
% 50.94/14.88  													|
% 50.94/14.88  													| Equations (63) can reduce 102 to:
% 50.94/14.88  													| (59) $false
% 50.94/14.88  													|
% 50.94/14.88  													|-The branch is then unsatisfiable
% 50.94/14.88  												|-Branch two:
% 50.94/14.88  												| (109)  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)
% 50.94/14.88  												|
% 50.94/14.88  													| Applying alpha-rule on (109) yields:
% 50.94/14.88  													| (67)  ~ (all_0_14_14 = 0)
% 50.94/14.88  													| (68) q(all_0_15_15) = all_0_14_14
% 50.94/14.88  													| (78)  ! [v0] :  ~ (p(v0) = 0)
% 50.94/14.88  													|
% 50.94/14.88  													| Instantiating formula (24) with all_0_14_14, all_0_15_15 and discharging atoms q(all_0_15_15) = all_0_14_14, yields:
% 50.94/14.88  													| (70)  ~ (all_0_16_16 = 0) | all_0_14_14 = 0
% 50.94/14.88  													|
% 50.94/14.88  													+-Applying beta-rule and splitting (70), into two cases.
% 50.94/14.88  													|-Branch one:
% 50.94/14.88  													| (71)  ~ (all_0_16_16 = 0)
% 50.94/14.88  													|
% 50.94/14.88  														| Equations (42) can reduce 71 to:
% 50.94/14.88  														| (59) $false
% 50.94/14.88  														|
% 50.94/14.88  														|-The branch is then unsatisfiable
% 50.94/14.88  													|-Branch two:
% 50.94/14.88  													| (42) all_0_16_16 = 0
% 50.94/14.88  													| (74) all_0_14_14 = 0
% 50.94/14.88  													|
% 50.94/14.88  														| Equations (74) can reduce 67 to:
% 50.94/14.88  														| (59) $false
% 50.94/14.88  														|
% 50.94/14.88  														|-The branch is then unsatisfiable
% 50.94/14.88  											|-Branch two:
% 50.94/14.88  											| (63) all_0_0_0 = 0
% 50.94/14.88  											| (120) all_0_8_8 = 0
% 50.94/14.88  											|
% 50.94/14.88  												| Equations (120) can reduce 55 to:
% 50.94/14.88  												| (59) $false
% 50.94/14.88  												|
% 50.94/14.88  												|-The branch is then unsatisfiable
% 50.94/14.88  										|-Branch two:
% 50.94/14.88  										| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 50.94/14.88  										|
% 50.94/14.88  											| Applying alpha-rule on (60) yields:
% 50.94/14.88  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 50.94/14.88  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 50.94/14.88  											|
% 50.94/14.88  											| Instantiating formula (62) with all_67_1_31 and discharging atoms s(all_67_1_31) = 0, yields:
% 50.94/14.88  											| (79) $false
% 50.94/14.88  											|
% 50.94/14.88  											|-The branch is then unsatisfiable
% 50.94/14.88  							|-Branch two:
% 50.94/14.88  							| (126) ((all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))
% 50.94/14.88  							|
% 50.94/14.88  								| Applying alpha-rule on (126) yields:
% 50.94/14.88  								| (127) (all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))
% 50.94/14.88  								| (128) (s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))
% 50.94/14.88  								|
% 50.94/14.88  								+-Applying beta-rule and splitting (128), into two cases.
% 50.94/14.88  								|-Branch one:
% 50.94/14.88  								| (129) s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))
% 50.94/14.89  								|
% 50.94/14.89  									| Applying alpha-rule on (129) yields:
% 50.94/14.89  									| (130) s(all_0_13_13) = all_0_12_12
% 50.94/14.89  									| (131)  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 50.94/14.89  									| (132)  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0))
% 50.94/14.89  									| (85) (all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0))
% 50.94/14.89  									|
% 50.94/14.89  									| Instantiating formula (131) with all_0_20_20, all_0_21_21 and discharging atoms s(all_0_21_21) = all_0_20_20, yields:
% 50.94/14.89  									| (134)  ~ (all_0_12_12 = 0) | all_0_20_20 = 0
% 50.94/14.89  									|
% 50.94/14.89  									+-Applying beta-rule and splitting (134), into two cases.
% 50.94/14.89  									|-Branch one:
% 50.94/14.89  									| (135)  ~ (all_0_12_12 = 0)
% 50.94/14.89  									|
% 50.94/14.89  										+-Applying beta-rule and splitting (127), into two cases.
% 50.94/14.89  										|-Branch one:
% 50.94/14.89  										| (136) all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 50.94/14.89  										|
% 50.94/14.89  											| Applying alpha-rule on (136) yields:
% 50.94/14.89  											| (58) all_0_10_10 = 0
% 50.94/14.89  											| (138) s(all_0_11_11) = 0
% 50.94/14.89  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 50.94/14.89  											|
% 50.94/14.89  											| Instantiating formula (132) with all_0_11_11 and discharging atoms s(all_0_11_11) = 0, yields:
% 50.94/14.89  											| (66) all_0_12_12 = 0
% 50.94/14.89  											|
% 50.94/14.89  											| Equations (66) can reduce 135 to:
% 50.94/14.89  											| (59) $false
% 50.94/14.89  											|
% 50.94/14.89  											|-The branch is then unsatisfiable
% 50.94/14.89  										|-Branch two:
% 50.94/14.89  										| (142)  ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0)
% 50.94/14.89  										|
% 50.94/14.89  											| Applying alpha-rule on (142) yields:
% 50.94/14.89  											| (52)  ~ (all_0_10_10 = 0)
% 50.94/14.89  											| (144) p(all_0_11_11) = all_0_10_10
% 50.94/14.89  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 50.94/14.89  											|
% 50.94/14.89  											| Instantiating formula (13) with all_0_10_10, all_0_11_11 and discharging atoms p(all_0_11_11) = all_0_10_10, yields:
% 50.94/14.89  											| (146)  ~ (all_0_0_0 = 0) | all_0_10_10 = 0
% 50.94/14.89  											|
% 50.94/14.89  											+-Applying beta-rule and splitting (85), into two cases.
% 50.94/14.89  											|-Branch one:
% 50.94/14.89  											| (103) all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 50.94/14.89  											|
% 50.94/14.89  												| Applying alpha-rule on (103) yields:
% 50.94/14.89  												| (74) all_0_14_14 = 0
% 50.94/14.89  												| (105) p(all_0_15_15) = 0
% 50.94/14.89  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 50.94/14.89  												|
% 50.94/14.89  												+-Applying beta-rule and splitting (146), into two cases.
% 50.94/14.89  												|-Branch one:
% 50.94/14.89  												| (102)  ~ (all_0_0_0 = 0)
% 50.94/14.89  												|
% 50.94/14.89  													| Instantiating formula (14) with all_0_15_15 and discharging atoms p(all_0_15_15) = 0, yields:
% 50.94/14.89  													| (63) all_0_0_0 = 0
% 50.94/14.89  													|
% 50.94/14.89  													| Equations (63) can reduce 102 to:
% 50.94/14.89  													| (59) $false
% 50.94/14.89  													|
% 50.94/14.89  													|-The branch is then unsatisfiable
% 50.94/14.89  												|-Branch two:
% 50.94/14.89  												| (63) all_0_0_0 = 0
% 50.94/14.89  												| (58) all_0_10_10 = 0
% 50.94/14.89  												|
% 50.94/14.89  													| Equations (58) can reduce 52 to:
% 50.94/14.89  													| (59) $false
% 50.94/14.89  													|
% 50.94/14.89  													|-The branch is then unsatisfiable
% 50.94/14.89  											|-Branch two:
% 50.94/14.89  											| (109)  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)
% 50.94/14.89  											|
% 50.94/14.89  												| Applying alpha-rule on (109) yields:
% 50.94/14.89  												| (67)  ~ (all_0_14_14 = 0)
% 50.94/14.89  												| (68) q(all_0_15_15) = all_0_14_14
% 50.94/14.89  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 50.94/14.89  												|
% 50.94/14.89  												| Instantiating formula (24) with all_0_14_14, all_0_15_15 and discharging atoms q(all_0_15_15) = all_0_14_14, yields:
% 50.94/14.89  												| (70)  ~ (all_0_16_16 = 0) | all_0_14_14 = 0
% 50.94/14.89  												|
% 50.94/14.89  												+-Applying beta-rule and splitting (70), into two cases.
% 50.94/14.89  												|-Branch one:
% 50.94/14.89  												| (71)  ~ (all_0_16_16 = 0)
% 50.94/14.89  												|
% 50.94/14.89  													| Equations (42) can reduce 71 to:
% 50.94/14.89  													| (59) $false
% 50.94/14.89  													|
% 50.94/14.89  													|-The branch is then unsatisfiable
% 50.94/14.89  												|-Branch two:
% 50.94/14.89  												| (42) all_0_16_16 = 0
% 50.94/14.89  												| (74) all_0_14_14 = 0
% 50.94/14.89  												|
% 50.94/14.89  													| Equations (74) can reduce 67 to:
% 50.94/14.89  													| (59) $false
% 50.94/14.89  													|
% 50.94/14.89  													|-The branch is then unsatisfiable
% 50.94/14.89  									|-Branch two:
% 50.94/14.89  									| (66) all_0_12_12 = 0
% 50.94/14.89  									| (81) all_0_20_20 = 0
% 50.94/14.89  									|
% 50.94/14.89  										| Equations (81) can reduce 34 to:
% 50.94/14.89  										| (59) $false
% 50.94/14.89  										|
% 50.94/14.89  										|-The branch is then unsatisfiable
% 50.94/14.89  								|-Branch two:
% 50.94/14.89  								| (170)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 50.94/14.89  								|
% 50.94/14.89  									| Applying alpha-rule on (170) yields:
% 50.94/14.89  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 50.94/14.89  									| (50) (all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 50.94/14.89  									|
% 50.94/14.89  									| Instantiating formula (84) with all_0_20_20, all_0_21_21 and discharging atoms s(all_0_21_21) = all_0_20_20, yields:
% 50.94/14.89  									| (86)  ? [v0] :  ? [v1] : (( ~ (all_0_20_20 = 0) | ( ~ (v1 = 0) & s(v0) = v1)) & (all_0_20_20 = 0 | (v1 = 0 & s(v0) = 0)))
% 50.94/14.89  									|
% 50.94/14.89  									| Instantiating (86) with all_67_0_42, all_67_1_43 yields:
% 50.94/14.89  									| (174) ( ~ (all_0_20_20 = 0) | ( ~ (all_67_0_42 = 0) & s(all_67_1_43) = all_67_0_42)) & (all_0_20_20 = 0 | (all_67_0_42 = 0 & s(all_67_1_43) = 0))
% 50.94/14.89  									|
% 50.94/14.89  									| Applying alpha-rule on (174) yields:
% 50.94/14.89  									| (175)  ~ (all_0_20_20 = 0) | ( ~ (all_67_0_42 = 0) & s(all_67_1_43) = all_67_0_42)
% 50.94/14.89  									| (176) all_0_20_20 = 0 | (all_67_0_42 = 0 & s(all_67_1_43) = 0)
% 50.94/14.89  									|
% 50.94/14.89  									+-Applying beta-rule and splitting (176), into two cases.
% 50.94/14.89  									|-Branch one:
% 50.94/14.89  									| (81) all_0_20_20 = 0
% 50.94/14.89  									|
% 50.94/14.89  										| Equations (81) can reduce 34 to:
% 50.94/14.89  										| (59) $false
% 50.94/14.89  										|
% 50.94/14.89  										|-The branch is then unsatisfiable
% 50.94/14.89  									|-Branch two:
% 50.94/14.89  									| (34)  ~ (all_0_20_20 = 0)
% 50.94/14.89  									| (180) all_67_0_42 = 0 & s(all_67_1_43) = 0
% 50.94/14.89  									|
% 51.36/14.89  										| Applying alpha-rule on (180) yields:
% 51.36/14.89  										| (181) all_67_0_42 = 0
% 51.36/14.89  										| (182) s(all_67_1_43) = 0
% 51.36/14.89  										|
% 51.36/14.89  										+-Applying beta-rule and splitting (127), into two cases.
% 51.36/14.89  										|-Branch one:
% 51.36/14.89  										| (136) all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 51.36/14.89  										|
% 51.36/14.89  											| Applying alpha-rule on (136) yields:
% 51.36/14.89  											| (58) all_0_10_10 = 0
% 51.36/14.89  											| (138) s(all_0_11_11) = 0
% 51.36/14.89  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 51.36/14.89  											|
% 51.36/14.89  											| Instantiating formula (61) with all_0_0_0, all_0_1_1 and discharging atoms p(all_0_1_1) = all_0_0_0, yields:
% 51.36/14.89  											| (63) all_0_0_0 = 0
% 51.36/14.89  											|
% 51.36/14.89  											| From (63) and (12) follows:
% 51.36/14.89  											| (64) p(all_0_1_1) = 0
% 51.36/14.89  											|
% 51.36/14.89  											+-Applying beta-rule and splitting (50), into two cases.
% 51.36/14.89  											|-Branch one:
% 51.36/14.89  											| (65) all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0
% 51.36/14.89  											|
% 51.36/14.89  												| Applying alpha-rule on (65) yields:
% 51.36/14.89  												| (66) all_0_12_12 = 0
% 51.36/14.89  												| (67)  ~ (all_0_14_14 = 0)
% 51.36/14.89  												| (68) q(all_0_15_15) = all_0_14_14
% 51.36/14.89  												| (69) p(all_0_13_13) = 0
% 51.36/14.89  												|
% 51.36/14.89  												| Instantiating formula (24) with all_0_14_14, all_0_15_15 and discharging atoms q(all_0_15_15) = all_0_14_14, yields:
% 51.36/14.89  												| (70)  ~ (all_0_16_16 = 0) | all_0_14_14 = 0
% 51.36/14.89  												|
% 51.36/14.89  												+-Applying beta-rule and splitting (70), into two cases.
% 51.36/14.89  												|-Branch one:
% 51.36/14.89  												| (71)  ~ (all_0_16_16 = 0)
% 51.36/14.89  												|
% 51.36/14.89  													| Equations (42) can reduce 71 to:
% 51.36/14.89  													| (59) $false
% 51.36/14.89  													|
% 51.36/14.89  													|-The branch is then unsatisfiable
% 51.36/14.89  												|-Branch two:
% 51.36/14.89  												| (42) all_0_16_16 = 0
% 51.36/14.89  												| (74) all_0_14_14 = 0
% 51.36/14.89  												|
% 51.36/14.89  													| Equations (74) can reduce 67 to:
% 51.36/14.89  													| (59) $false
% 51.36/14.89  													|
% 51.36/14.89  													|-The branch is then unsatisfiable
% 51.36/14.89  											|-Branch two:
% 51.36/14.89  											| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 51.36/14.89  											|
% 51.36/14.89  												| Applying alpha-rule on (76) yields:
% 51.36/14.89  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 51.36/14.89  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 51.36/14.89  												|
% 51.36/14.89  												| Instantiating formula (78) with all_0_1_1 and discharging atoms p(all_0_1_1) = 0, yields:
% 51.36/14.89  												| (79) $false
% 51.36/14.89  												|
% 51.36/14.89  												|-The branch is then unsatisfiable
% 51.36/14.89  										|-Branch two:
% 51.36/14.89  										| (142)  ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0)
% 51.36/14.89  										|
% 51.36/14.89  											| Applying alpha-rule on (142) yields:
% 51.36/14.89  											| (52)  ~ (all_0_10_10 = 0)
% 51.36/14.89  											| (144) p(all_0_11_11) = all_0_10_10
% 51.36/14.89  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 51.36/14.89  											|
% 51.36/14.89  											| Instantiating formula (62) with all_67_1_43 and discharging atoms s(all_67_1_43) = 0, yields:
% 51.36/14.89  											| (79) $false
% 51.36/14.89  											|
% 51.36/14.89  											|-The branch is then unsatisfiable
% 51.36/14.89  						|-Branch two:
% 51.36/14.89  						| (209)  ~ (all_0_2_2 = 0) & r(all_0_3_3) = all_0_2_2 &  ! [v0] :  ~ (q(v0) = 0)
% 51.36/14.89  						|
% 51.36/14.89  							| Applying alpha-rule on (209) yields:
% 51.36/14.89  							| (210)  ~ (all_0_2_2 = 0)
% 51.36/14.89  							| (211) r(all_0_3_3) = all_0_2_2
% 51.36/14.89  							| (212)  ! [v0] :  ~ (q(v0) = 0)
% 51.36/14.89  							|
% 51.36/14.89  							| Instantiating formula (29) with all_0_2_2, all_0_3_3 and discharging atoms r(all_0_3_3) = all_0_2_2, yields:
% 51.36/14.89  							| (213)  ~ (all_0_4_4 = 0) | all_0_2_2 = 0
% 51.36/14.89  							|
% 51.36/14.89  							+-Applying beta-rule and splitting (213), into two cases.
% 51.36/14.89  							|-Branch one:
% 51.36/14.89  							| (214)  ~ (all_0_4_4 = 0)
% 51.36/14.89  							|
% 51.36/14.89  								| Equations (37) can reduce 214 to:
% 51.36/14.89  								| (59) $false
% 51.36/14.89  								|
% 51.36/14.89  								|-The branch is then unsatisfiable
% 51.36/14.89  							|-Branch two:
% 51.36/14.89  							| (37) all_0_4_4 = 0
% 51.36/14.89  							| (39) all_0_2_2 = 0
% 51.36/14.89  							|
% 51.36/14.89  								| Equations (39) can reduce 210 to:
% 51.36/14.89  								| (59) $false
% 51.36/14.89  								|
% 51.36/14.89  								|-The branch is then unsatisfiable
% 51.36/14.89  					|-Branch two:
% 51.36/14.89  					| (219)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)
% 51.36/14.89  					|
% 51.36/14.89  						| Applying alpha-rule on (219) yields:
% 51.36/14.89  						| (220)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))
% 51.36/14.89  						| (221)  ! [v0] :  ~ (r(v0) = 0)
% 51.36/14.89  						|
% 51.36/14.89  						+-Applying beta-rule and splitting (17), into two cases.
% 51.36/14.89  						|-Branch one:
% 51.36/14.89  						| (38) all_0_2_2 = 0 & q(all_0_3_3) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 51.36/14.89  						|
% 51.36/14.89  							| Applying alpha-rule on (38) yields:
% 51.36/14.89  							| (39) all_0_2_2 = 0
% 51.36/14.89  							| (40) q(all_0_3_3) = 0
% 51.36/14.89  							| (41)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 51.36/14.89  							|
% 51.36/14.89  							| Instantiating formula (41) with all_0_4_4, all_0_5_5 and discharging atoms r(all_0_5_5) = all_0_4_4, yields:
% 51.36/14.89  							| (37) all_0_4_4 = 0
% 51.36/14.89  							|
% 51.36/14.89  							| From (37) and (28) follows:
% 51.36/14.89  							| (227) r(all_0_5_5) = 0
% 51.36/14.89  							|
% 51.36/14.90  							| Instantiating formula (221) with all_0_5_5 and discharging atoms r(all_0_5_5) = 0, yields:
% 51.36/14.90  							| (79) $false
% 51.36/14.90  							|
% 51.36/14.90  							|-The branch is then unsatisfiable
% 51.36/14.90  						|-Branch two:
% 51.36/14.90  						| (209)  ~ (all_0_2_2 = 0) & r(all_0_3_3) = all_0_2_2 &  ! [v0] :  ~ (q(v0) = 0)
% 51.36/14.90  						|
% 51.36/14.90  							| Applying alpha-rule on (209) yields:
% 51.36/14.90  							| (210)  ~ (all_0_2_2 = 0)
% 51.36/14.90  							| (211) r(all_0_3_3) = all_0_2_2
% 51.36/14.90  							| (212)  ! [v0] :  ~ (q(v0) = 0)
% 51.36/14.90  							|
% 51.36/14.90  							+-Applying beta-rule and splitting (31), into two cases.
% 51.36/14.90  							|-Branch one:
% 51.36/14.90  							| (43) ((all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_7_7) = 0 & p(all_0_9_9) = all_0_8_8) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))))
% 51.36/14.90  							|
% 51.36/14.90  								| Applying alpha-rule on (43) yields:
% 51.36/14.90  								| (44) (all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_7_7) = 0 & p(all_0_9_9) = all_0_8_8) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))
% 51.36/14.90  								| (45) (s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0))))
% 51.39/14.90  								|
% 51.39/14.90  								+-Applying beta-rule and splitting (45), into two cases.
% 51.39/14.90  								|-Branch one:
% 51.39/14.90  								| (46) s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 51.39/14.90  								|
% 51.39/14.90  									| Applying alpha-rule on (46) yields:
% 51.39/14.90  									| (47) s(all_0_11_11) = all_0_10_10
% 51.39/14.90  									| (48)  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 51.39/14.90  									| (49)  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0))
% 51.39/14.90  									| (50) (all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 51.39/14.90  									|
% 51.39/14.90  									| Instantiating formula (220) with all_0_10_10, all_0_11_11 and discharging atoms s(all_0_11_11) = all_0_10_10, yields:
% 51.39/14.90  									| (58) all_0_10_10 = 0
% 51.39/14.90  									|
% 51.39/14.90  									| From (58) and (47) follows:
% 51.39/14.90  									| (138) s(all_0_11_11) = 0
% 51.39/14.90  									|
% 51.39/14.90  									+-Applying beta-rule and splitting (44), into two cases.
% 51.39/14.90  									|-Branch one:
% 51.39/14.90  									| (53) all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_7_7) = 0 & p(all_0_9_9) = all_0_8_8
% 51.39/14.90  									|
% 51.39/14.90  										| Applying alpha-rule on (53) yields:
% 51.39/14.90  										| (54) all_0_6_6 = 0
% 51.39/14.90  										| (55)  ~ (all_0_8_8 = 0)
% 51.39/14.90  										| (56) s(all_0_7_7) = 0
% 51.39/14.90  										| (57) p(all_0_9_9) = all_0_8_8
% 51.39/14.90  										|
% 51.39/14.90  										| Instantiating formula (13) with all_0_8_8, all_0_9_9 and discharging atoms p(all_0_9_9) = all_0_8_8, yields:
% 51.39/14.90  										| (101)  ~ (all_0_0_0 = 0) | all_0_8_8 = 0
% 51.39/14.90  										|
% 51.39/14.90  										+-Applying beta-rule and splitting (50), into two cases.
% 51.39/14.90  										|-Branch one:
% 51.39/14.90  										| (65) all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0
% 51.39/14.90  										|
% 51.39/14.90  											| Applying alpha-rule on (65) yields:
% 51.39/14.90  											| (66) all_0_12_12 = 0
% 51.39/14.90  											| (67)  ~ (all_0_14_14 = 0)
% 51.39/14.90  											| (68) q(all_0_15_15) = all_0_14_14
% 51.39/14.90  											| (69) p(all_0_13_13) = 0
% 51.39/14.90  											|
% 51.39/14.90  											+-Applying beta-rule and splitting (101), into two cases.
% 51.39/14.90  											|-Branch one:
% 51.39/14.90  											| (102)  ~ (all_0_0_0 = 0)
% 51.39/14.90  											|
% 51.39/14.90  												| Instantiating formula (14) with all_0_13_13 and discharging atoms p(all_0_13_13) = 0, yields:
% 51.39/14.90  												| (63) all_0_0_0 = 0
% 51.39/14.90  												|
% 51.39/14.90  												| Equations (63) can reduce 102 to:
% 51.39/14.90  												| (59) $false
% 51.39/14.90  												|
% 51.39/14.90  												|-The branch is then unsatisfiable
% 51.39/14.90  											|-Branch two:
% 51.39/14.90  											| (63) all_0_0_0 = 0
% 51.39/14.90  											| (120) all_0_8_8 = 0
% 51.39/14.90  											|
% 51.39/14.90  												| Equations (120) can reduce 55 to:
% 51.39/14.90  												| (59) $false
% 51.39/14.90  												|
% 51.39/14.90  												|-The branch is then unsatisfiable
% 51.39/14.90  										|-Branch two:
% 51.39/14.90  										| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 51.39/14.90  										|
% 51.39/14.90  											| Applying alpha-rule on (76) yields:
% 51.39/14.90  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 51.39/14.90  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 51.39/14.90  											|
% 51.39/14.90  											| Instantiating formula (77) with all_0_16_16, all_0_17_17 and discharging atoms q(all_0_17_17) = all_0_16_16, yields:
% 51.39/14.90  											| (42) all_0_16_16 = 0
% 51.39/14.90  											|
% 51.39/14.90  											| From (42) and (23) follows:
% 51.39/14.90  											| (264) q(all_0_17_17) = 0
% 51.39/14.90  											|
% 51.39/14.90  											| Instantiating formula (212) with all_0_17_17 and discharging atoms q(all_0_17_17) = 0, yields:
% 51.39/14.90  											| (79) $false
% 51.39/14.90  											|
% 51.39/14.90  											|-The branch is then unsatisfiable
% 51.39/14.90  									|-Branch two:
% 51.39/14.90  									| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 51.39/14.90  									|
% 51.39/14.90  										| Applying alpha-rule on (60) yields:
% 51.39/14.90  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 51.39/14.90  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 51.39/14.90  										|
% 51.39/14.90  										| Instantiating formula (62) with all_0_11_11 and discharging atoms s(all_0_11_11) = 0, yields:
% 51.39/14.90  										| (79) $false
% 51.39/14.90  										|
% 51.39/14.90  										|-The branch is then unsatisfiable
% 51.39/14.90  								|-Branch two:
% 51.39/14.90  								| (83)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))
% 51.39/14.90  								|
% 51.39/14.90  									| Applying alpha-rule on (83) yields:
% 51.39/14.90  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 51.39/14.90  									| (85) (all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0))
% 51.39/14.90  									|
% 51.39/14.90  									+-Applying beta-rule and splitting (44), into two cases.
% 51.39/14.90  									|-Branch one:
% 51.39/14.90  									| (53) all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_7_7) = 0 & p(all_0_9_9) = all_0_8_8
% 51.39/14.90  									|
% 51.39/14.90  										| Applying alpha-rule on (53) yields:
% 51.39/14.90  										| (54) all_0_6_6 = 0
% 51.39/14.90  										| (55)  ~ (all_0_8_8 = 0)
% 51.39/14.90  										| (56) s(all_0_7_7) = 0
% 51.39/14.90  										| (57) p(all_0_9_9) = all_0_8_8
% 51.39/14.90  										|
% 51.39/14.90  										| Instantiating formula (84) with 0, all_0_7_7 and discharging atoms s(all_0_7_7) = 0, yields:
% 51.39/14.90  										| (278)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & s(v0) = v1)
% 51.39/14.90  										|
% 51.39/14.90  										| Instantiating (278) with all_69_0_54, all_69_1_55 yields:
% 51.39/14.90  										| (279)  ~ (all_69_0_54 = 0) & s(all_69_1_55) = all_69_0_54
% 51.39/14.90  										|
% 51.39/14.90  										| Applying alpha-rule on (279) yields:
% 51.39/14.90  										| (280)  ~ (all_69_0_54 = 0)
% 51.39/14.90  										| (281) s(all_69_1_55) = all_69_0_54
% 51.39/14.90  										|
% 51.39/14.90  										| Instantiating formula (220) with all_69_0_54, all_69_1_55 and discharging atoms s(all_69_1_55) = all_69_0_54, yields:
% 51.39/14.90  										| (282) all_69_0_54 = 0
% 51.39/14.90  										|
% 51.39/14.90  										| Equations (282) can reduce 280 to:
% 51.39/14.90  										| (59) $false
% 51.39/14.90  										|
% 51.39/14.90  										|-The branch is then unsatisfiable
% 51.39/14.90  									|-Branch two:
% 51.39/14.90  									| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 51.39/14.90  									|
% 51.39/14.90  										| Applying alpha-rule on (60) yields:
% 51.39/14.90  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 51.39/14.90  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 51.39/14.90  										|
% 51.39/14.90  										| Instantiating formula (61) with all_0_0_0, all_0_1_1 and discharging atoms p(all_0_1_1) = all_0_0_0, yields:
% 51.39/14.90  										| (63) all_0_0_0 = 0
% 51.39/14.90  										|
% 51.39/14.90  										| From (63) and (12) follows:
% 51.39/14.90  										| (64) p(all_0_1_1) = 0
% 51.42/14.90  										|
% 51.42/14.90  										+-Applying beta-rule and splitting (85), into two cases.
% 51.42/14.90  										|-Branch one:
% 51.42/14.90  										| (103) all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 51.42/14.90  										|
% 51.42/14.90  											| Applying alpha-rule on (103) yields:
% 51.42/14.90  											| (74) all_0_14_14 = 0
% 51.42/14.90  											| (105) p(all_0_15_15) = 0
% 51.42/14.90  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 51.42/14.90  											|
% 51.42/14.90  											| Instantiating formula (77) with all_0_16_16, all_0_17_17 and discharging atoms q(all_0_17_17) = all_0_16_16, yields:
% 51.42/14.90  											| (42) all_0_16_16 = 0
% 51.42/14.90  											|
% 51.42/14.90  											| From (42) and (23) follows:
% 51.42/14.90  											| (264) q(all_0_17_17) = 0
% 51.42/14.90  											|
% 51.42/14.90  											| Instantiating formula (212) with all_0_17_17 and discharging atoms q(all_0_17_17) = 0, yields:
% 51.42/14.90  											| (79) $false
% 51.42/14.90  											|
% 51.42/14.90  											|-The branch is then unsatisfiable
% 51.42/14.90  										|-Branch two:
% 51.42/14.90  										| (109)  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)
% 51.42/14.90  										|
% 51.42/14.90  											| Applying alpha-rule on (109) yields:
% 51.42/14.90  											| (67)  ~ (all_0_14_14 = 0)
% 51.42/14.90  											| (68) q(all_0_15_15) = all_0_14_14
% 51.42/14.90  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 51.42/14.90  											|
% 51.42/14.90  											| Instantiating formula (78) with all_0_1_1 and discharging atoms p(all_0_1_1) = 0, yields:
% 51.42/14.90  											| (79) $false
% 51.42/14.90  											|
% 51.42/14.90  											|-The branch is then unsatisfiable
% 51.42/14.90  							|-Branch two:
% 51.42/14.90  							| (126) ((all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))
% 51.42/14.91  							|
% 51.42/14.91  								| Applying alpha-rule on (126) yields:
% 51.42/14.91  								| (127) (all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))
% 51.42/14.91  								| (128) (s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))
% 51.42/14.91  								|
% 51.42/14.91  								+-Applying beta-rule and splitting (128), into two cases.
% 51.42/14.91  								|-Branch one:
% 51.42/14.91  								| (129) s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))
% 51.42/14.91  								|
% 51.42/14.91  									| Applying alpha-rule on (129) yields:
% 51.42/14.91  									| (130) s(all_0_13_13) = all_0_12_12
% 51.42/14.91  									| (131)  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 51.42/14.91  									| (132)  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0))
% 51.42/14.91  									| (85) (all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0))
% 51.42/14.91  									|
% 51.42/14.91  									| Instantiating formula (220) with all_0_12_12, all_0_13_13 and discharging atoms s(all_0_13_13) = all_0_12_12, yields:
% 51.42/14.91  									| (66) all_0_12_12 = 0
% 51.42/14.91  									|
% 51.42/14.91  									| From (66) and (130) follows:
% 51.42/14.91  									| (310) s(all_0_13_13) = 0
% 51.42/14.91  									|
% 51.42/14.91  									+-Applying beta-rule and splitting (127), into two cases.
% 51.42/14.91  									|-Branch one:
% 51.42/14.91  									| (136) all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 51.42/14.91  									|
% 51.42/14.91  										| Applying alpha-rule on (136) yields:
% 51.42/14.91  										| (58) all_0_10_10 = 0
% 51.42/14.91  										| (138) s(all_0_11_11) = 0
% 51.42/14.91  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 51.42/14.91  										|
% 51.42/14.91  										| Instantiating formula (61) with all_0_0_0, all_0_1_1 and discharging atoms p(all_0_1_1) = all_0_0_0, yields:
% 51.42/14.91  										| (63) all_0_0_0 = 0
% 51.42/14.91  										|
% 51.42/14.91  										| From (63) and (12) follows:
% 51.42/14.91  										| (64) p(all_0_1_1) = 0
% 51.42/14.91  										|
% 51.42/14.91  										+-Applying beta-rule and splitting (85), into two cases.
% 51.42/14.91  										|-Branch one:
% 51.42/14.91  										| (103) all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 51.42/14.91  										|
% 51.42/14.91  											| Applying alpha-rule on (103) yields:
% 51.42/14.91  											| (74) all_0_14_14 = 0
% 51.42/14.91  											| (105) p(all_0_15_15) = 0
% 51.42/14.91  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 51.42/14.91  											|
% 51.42/14.91  											| Instantiating formula (77) with all_0_16_16, all_0_17_17 and discharging atoms q(all_0_17_17) = all_0_16_16, yields:
% 51.42/14.91  											| (42) all_0_16_16 = 0
% 51.42/14.91  											|
% 51.42/14.91  											| From (42) and (23) follows:
% 51.42/14.91  											| (264) q(all_0_17_17) = 0
% 51.42/14.91  											|
% 51.42/14.91  											| Instantiating formula (212) with all_0_17_17 and discharging atoms q(all_0_17_17) = 0, yields:
% 51.42/14.91  											| (79) $false
% 51.42/14.91  											|
% 51.42/14.91  											|-The branch is then unsatisfiable
% 51.42/14.91  										|-Branch two:
% 51.42/14.91  										| (109)  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)
% 51.42/14.91  										|
% 51.42/14.91  											| Applying alpha-rule on (109) yields:
% 51.42/14.91  											| (67)  ~ (all_0_14_14 = 0)
% 51.42/14.91  											| (68) q(all_0_15_15) = all_0_14_14
% 51.42/14.91  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 51.42/14.91  											|
% 51.42/14.91  											| Instantiating formula (78) with all_0_1_1 and discharging atoms p(all_0_1_1) = 0, yields:
% 51.42/14.91  											| (79) $false
% 51.42/14.91  											|
% 51.42/14.91  											|-The branch is then unsatisfiable
% 51.42/14.91  									|-Branch two:
% 51.42/14.91  									| (142)  ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0)
% 51.42/14.91  									|
% 51.42/14.91  										| Applying alpha-rule on (142) yields:
% 51.42/14.91  										| (52)  ~ (all_0_10_10 = 0)
% 51.42/14.91  										| (144) p(all_0_11_11) = all_0_10_10
% 51.42/14.91  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 51.42/14.91  										|
% 51.42/14.91  										| Instantiating formula (62) with all_0_13_13 and discharging atoms s(all_0_13_13) = 0, yields:
% 51.42/14.91  										| (79) $false
% 51.42/14.91  										|
% 51.42/14.91  										|-The branch is then unsatisfiable
% 51.42/14.91  								|-Branch two:
% 51.42/14.91  								| (170)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 51.42/14.91  								|
% 51.42/14.91  									| Applying alpha-rule on (170) yields:
% 51.42/14.91  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 51.42/14.91  									| (50) (all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 51.42/14.91  									|
% 51.42/14.91  									+-Applying beta-rule and splitting (127), into two cases.
% 51.42/14.91  									|-Branch one:
% 51.42/14.91  									| (136) all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 51.42/14.91  									|
% 51.42/14.91  										| Applying alpha-rule on (136) yields:
% 51.42/14.91  										| (58) all_0_10_10 = 0
% 51.42/14.91  										| (138) s(all_0_11_11) = 0
% 51.42/14.91  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 51.42/14.91  										|
% 51.42/14.91  										| Instantiating formula (84) with 0, all_0_11_11 and discharging atoms s(all_0_11_11) = 0, yields:
% 51.42/14.91  										| (278)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & s(v0) = v1)
% 51.42/14.91  										|
% 51.42/14.91  										| Instantiating (278) with all_71_0_56, all_71_1_57 yields:
% 51.42/14.91  										| (342)  ~ (all_71_0_56 = 0) & s(all_71_1_57) = all_71_0_56
% 51.42/14.91  										|
% 51.42/14.91  										| Applying alpha-rule on (342) yields:
% 51.42/14.91  										| (343)  ~ (all_71_0_56 = 0)
% 51.42/14.91  										| (344) s(all_71_1_57) = all_71_0_56
% 51.42/14.91  										|
% 51.42/14.91  										| Instantiating formula (220) with all_71_0_56, all_71_1_57 and discharging atoms s(all_71_1_57) = all_71_0_56, yields:
% 51.42/14.91  										| (345) all_71_0_56 = 0
% 51.42/14.91  										|
% 51.42/14.91  										| Equations (345) can reduce 343 to:
% 51.42/14.91  										| (59) $false
% 51.42/14.91  										|
% 51.42/14.91  										|-The branch is then unsatisfiable
% 51.42/14.91  									|-Branch two:
% 51.42/14.91  									| (142)  ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0)
% 51.42/14.91  									|
% 51.42/14.91  										| Applying alpha-rule on (142) yields:
% 51.42/14.91  										| (52)  ~ (all_0_10_10 = 0)
% 51.42/14.91  										| (144) p(all_0_11_11) = all_0_10_10
% 51.42/14.91  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 51.42/14.91  										|
% 51.42/14.91  										| Instantiating formula (13) with all_0_10_10, all_0_11_11 and discharging atoms p(all_0_11_11) = all_0_10_10, yields:
% 51.42/14.91  										| (146)  ~ (all_0_0_0 = 0) | all_0_10_10 = 0
% 51.42/14.91  										|
% 51.42/14.91  										+-Applying beta-rule and splitting (50), into two cases.
% 51.42/14.91  										|-Branch one:
% 51.42/14.91  										| (65) all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0
% 51.42/14.91  										|
% 51.42/14.91  											| Applying alpha-rule on (65) yields:
% 51.42/14.91  											| (66) all_0_12_12 = 0
% 51.42/14.91  											| (67)  ~ (all_0_14_14 = 0)
% 51.42/14.91  											| (68) q(all_0_15_15) = all_0_14_14
% 51.42/14.91  											| (69) p(all_0_13_13) = 0
% 51.42/14.91  											|
% 51.42/14.91  											+-Applying beta-rule and splitting (146), into two cases.
% 51.42/14.91  											|-Branch one:
% 51.42/14.91  											| (102)  ~ (all_0_0_0 = 0)
% 51.42/14.91  											|
% 51.42/14.91  												| Instantiating formula (14) with all_0_13_13 and discharging atoms p(all_0_13_13) = 0, yields:
% 51.42/14.91  												| (63) all_0_0_0 = 0
% 51.42/14.91  												|
% 51.42/14.91  												| Equations (63) can reduce 102 to:
% 51.42/14.91  												| (59) $false
% 51.42/14.91  												|
% 51.42/14.91  												|-The branch is then unsatisfiable
% 51.42/14.91  											|-Branch two:
% 51.42/14.91  											| (63) all_0_0_0 = 0
% 51.42/14.91  											| (58) all_0_10_10 = 0
% 51.42/14.91  											|
% 51.42/14.91  												| Equations (58) can reduce 52 to:
% 51.42/14.91  												| (59) $false
% 51.42/14.91  												|
% 51.42/14.91  												|-The branch is then unsatisfiable
% 51.42/14.91  										|-Branch two:
% 51.42/14.91  										| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 51.42/14.91  										|
% 51.42/14.91  											| Applying alpha-rule on (76) yields:
% 51.42/14.91  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 51.42/14.91  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 51.42/14.91  											|
% 51.42/14.91  											| Instantiating formula (77) with all_0_16_16, all_0_17_17 and discharging atoms q(all_0_17_17) = all_0_16_16, yields:
% 51.42/14.91  											| (42) all_0_16_16 = 0
% 51.42/14.91  											|
% 51.42/14.91  											| From (42) and (23) follows:
% 51.42/14.91  											| (264) q(all_0_17_17) = 0
% 51.42/14.91  											|
% 51.42/14.91  											| Instantiating formula (212) with all_0_17_17 and discharging atoms q(all_0_17_17) = 0, yields:
% 51.42/14.91  											| (79) $false
% 51.42/14.91  											|
% 51.42/14.91  											|-The branch is then unsatisfiable
% 51.42/14.91  				|-Branch two:
% 51.42/14.91  				| (369)  ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_8_8 = 0 & s(all_0_9_9) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_8_8 = 0) & p(all_0_9_9) = all_0_8_8 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (s(v0) = 0)) & ((all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))
% 51.42/14.91  				|
% 51.42/14.91  					| Applying alpha-rule on (369) yields:
% 51.42/14.91  					| (370)  ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0))))
% 51.42/14.91  					| (371) (((all_0_8_8 = 0 & s(all_0_9_9) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_8_8 = 0) & p(all_0_9_9) = all_0_8_8 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (s(v0) = 0)) & ((all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))
% 51.42/14.92  					|
% 51.42/14.92  					+-Applying beta-rule and splitting (26), into two cases.
% 51.42/14.92  					|-Branch one:
% 51.42/14.92  					| (32) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_21_21) = all_0_20_20 & r(all_0_19_19) = 0
% 51.42/14.92  					|
% 51.42/14.92  						| Applying alpha-rule on (32) yields:
% 51.42/14.92  						| (33) all_0_18_18 = 0
% 51.42/14.92  						| (34)  ~ (all_0_20_20 = 0)
% 51.42/14.92  						| (35) s(all_0_21_21) = all_0_20_20
% 51.42/14.92  						| (36) r(all_0_19_19) = 0
% 51.42/14.92  						|
% 51.42/14.92  						| Instantiating formula (370) with 0, all_0_19_19 and discharging atoms r(all_0_19_19) = 0, yields:
% 51.42/14.92  						| (377)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & r(v0) = v1)
% 51.42/14.92  						|
% 51.42/14.92  						| Instantiating (377) with all_44_0_58, all_44_1_59 yields:
% 51.42/14.92  						| (378)  ~ (all_44_0_58 = 0) & r(all_44_1_59) = all_44_0_58
% 51.42/14.92  						|
% 51.42/14.92  						| Applying alpha-rule on (378) yields:
% 51.42/14.92  						| (379)  ~ (all_44_0_58 = 0)
% 51.42/14.92  						| (380) r(all_44_1_59) = all_44_0_58
% 51.42/14.92  						|
% 51.42/14.92  						+-Applying beta-rule and splitting (17), into two cases.
% 51.42/14.92  						|-Branch one:
% 51.42/14.92  						| (38) all_0_2_2 = 0 & q(all_0_3_3) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 51.42/14.92  						|
% 51.42/14.92  							| Applying alpha-rule on (38) yields:
% 51.42/14.92  							| (39) all_0_2_2 = 0
% 51.42/14.92  							| (40) q(all_0_3_3) = 0
% 51.42/14.92  							| (41)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 51.42/14.92  							|
% 51.42/14.92  							| Instantiating formula (41) with all_44_0_58, all_44_1_59 and discharging atoms r(all_44_1_59) = all_44_0_58, yields:
% 51.42/14.92  							| (385) all_44_0_58 = 0
% 51.42/14.92  							|
% 51.42/14.92  							| Equations (385) can reduce 379 to:
% 51.42/14.92  							| (59) $false
% 51.42/14.92  							|
% 51.42/14.92  							|-The branch is then unsatisfiable
% 51.42/14.92  						|-Branch two:
% 51.42/14.92  						| (209)  ~ (all_0_2_2 = 0) & r(all_0_3_3) = all_0_2_2 &  ! [v0] :  ~ (q(v0) = 0)
% 51.42/14.92  						|
% 51.42/14.92  							| Applying alpha-rule on (209) yields:
% 51.42/14.92  							| (210)  ~ (all_0_2_2 = 0)
% 51.42/14.92  							| (211) r(all_0_3_3) = all_0_2_2
% 51.42/14.92  							| (212)  ! [v0] :  ~ (q(v0) = 0)
% 51.42/14.92  							|
% 51.42/14.92  							+-Applying beta-rule and splitting (371), into two cases.
% 51.42/14.92  							|-Branch one:
% 51.42/14.92  							| (391) ((all_0_8_8 = 0 & s(all_0_9_9) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_8_8 = 0) & p(all_0_9_9) = all_0_8_8 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))))
% 51.42/14.92  							|
% 51.42/14.92  								| Applying alpha-rule on (391) yields:
% 51.42/14.92  								| (392) (all_0_8_8 = 0 & s(all_0_9_9) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_8_8 = 0) & p(all_0_9_9) = all_0_8_8 &  ! [v0] :  ~ (s(v0) = 0))
% 51.42/14.92  								| (45) (s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0))))
% 51.42/14.92  								|
% 51.42/14.92  								+-Applying beta-rule and splitting (392), into two cases.
% 51.42/14.92  								|-Branch one:
% 51.42/14.92  								| (394) all_0_8_8 = 0 & s(all_0_9_9) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 51.42/14.92  								|
% 51.42/14.92  									| Applying alpha-rule on (394) yields:
% 51.42/14.92  									| (120) all_0_8_8 = 0
% 51.42/14.92  									| (396) s(all_0_9_9) = 0
% 51.42/14.92  									| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 51.42/14.92  									|
% 51.42/14.92  									| Instantiating formula (61) with all_0_0_0, all_0_1_1 and discharging atoms p(all_0_1_1) = all_0_0_0, yields:
% 51.42/14.92  									| (63) all_0_0_0 = 0
% 51.42/14.92  									|
% 51.42/14.92  									| From (63) and (12) follows:
% 51.42/14.92  									| (64) p(all_0_1_1) = 0
% 51.42/14.92  									|
% 51.42/14.92  									+-Applying beta-rule and splitting (45), into two cases.
% 51.42/14.92  									|-Branch one:
% 51.42/14.92  									| (46) s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 51.42/14.92  									|
% 51.42/14.92  										| Applying alpha-rule on (46) yields:
% 51.42/14.92  										| (47) s(all_0_11_11) = all_0_10_10
% 51.42/14.92  										| (48)  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 51.42/14.92  										| (49)  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0))
% 51.42/14.92  										| (50) (all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 51.42/14.92  										|
% 51.42/14.92  										| Instantiating formula (49) with all_0_9_9 and discharging atoms s(all_0_9_9) = 0, yields:
% 51.42/14.92  										| (58) all_0_10_10 = 0
% 51.42/14.92  										|
% 51.42/14.92  										| Instantiating formula (48) with all_0_20_20, all_0_21_21 and discharging atoms s(all_0_21_21) = all_0_20_20, yields:
% 51.42/14.92  										| (51)  ~ (all_0_10_10 = 0) | all_0_20_20 = 0
% 51.42/14.92  										|
% 51.42/14.92  										+-Applying beta-rule and splitting (51), into two cases.
% 51.42/14.92  										|-Branch one:
% 51.42/14.92  										| (52)  ~ (all_0_10_10 = 0)
% 51.42/14.92  										|
% 51.42/14.92  											| Equations (58) can reduce 52 to:
% 51.42/14.92  											| (59) $false
% 51.42/14.92  											|
% 51.42/14.92  											|-The branch is then unsatisfiable
% 51.42/14.92  										|-Branch two:
% 51.42/14.92  										| (58) all_0_10_10 = 0
% 51.42/14.92  										| (81) all_0_20_20 = 0
% 51.42/14.92  										|
% 51.42/14.92  											| Equations (81) can reduce 34 to:
% 51.42/14.92  											| (59) $false
% 51.42/14.92  											|
% 51.42/14.92  											|-The branch is then unsatisfiable
% 51.42/14.92  									|-Branch two:
% 51.42/14.92  									| (83)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))
% 51.42/14.92  									|
% 51.42/14.92  										| Applying alpha-rule on (83) yields:
% 51.42/14.92  										| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 51.42/14.92  										| (85) (all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0))
% 51.42/14.92  										|
% 51.42/14.92  										+-Applying beta-rule and splitting (85), into two cases.
% 51.42/14.92  										|-Branch one:
% 51.42/14.92  										| (103) all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 51.42/14.92  										|
% 51.42/14.92  											| Applying alpha-rule on (103) yields:
% 51.42/14.92  											| (74) all_0_14_14 = 0
% 51.42/14.92  											| (105) p(all_0_15_15) = 0
% 51.42/14.92  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 51.42/14.92  											|
% 51.42/14.92  											| Instantiating formula (77) with all_0_16_16, all_0_17_17 and discharging atoms q(all_0_17_17) = all_0_16_16, yields:
% 51.42/14.92  											| (42) all_0_16_16 = 0
% 51.42/14.92  											|
% 51.42/14.92  											| From (42) and (23) follows:
% 51.42/14.92  											| (264) q(all_0_17_17) = 0
% 51.42/14.92  											|
% 51.42/14.92  											| Instantiating formula (212) with all_0_17_17 and discharging atoms q(all_0_17_17) = 0, yields:
% 51.42/14.92  											| (79) $false
% 51.42/14.92  											|
% 51.42/14.92  											|-The branch is then unsatisfiable
% 51.42/14.92  										|-Branch two:
% 51.42/14.92  										| (109)  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)
% 51.42/14.92  										|
% 51.42/14.92  											| Applying alpha-rule on (109) yields:
% 51.42/14.92  											| (67)  ~ (all_0_14_14 = 0)
% 51.42/14.92  											| (68) q(all_0_15_15) = all_0_14_14
% 51.42/14.92  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 51.42/14.92  											|
% 51.42/14.92  											| Instantiating formula (78) with all_0_1_1 and discharging atoms p(all_0_1_1) = 0, yields:
% 51.42/14.92  											| (79) $false
% 51.42/14.92  											|
% 51.42/14.92  											|-The branch is then unsatisfiable
% 51.42/14.92  								|-Branch two:
% 51.42/14.92  								| (427)  ~ (all_0_8_8 = 0) & p(all_0_9_9) = all_0_8_8 &  ! [v0] :  ~ (s(v0) = 0)
% 51.42/14.92  								|
% 51.42/14.92  									| Applying alpha-rule on (427) yields:
% 51.42/14.92  									| (55)  ~ (all_0_8_8 = 0)
% 51.42/14.92  									| (57) p(all_0_9_9) = all_0_8_8
% 51.42/14.92  									| (62)  ! [v0] :  ~ (s(v0) = 0)
% 51.42/14.92  									|
% 51.42/14.92  									| Instantiating formula (13) with all_0_8_8, all_0_9_9 and discharging atoms p(all_0_9_9) = all_0_8_8, yields:
% 51.42/14.92  									| (101)  ~ (all_0_0_0 = 0) | all_0_8_8 = 0
% 51.42/14.92  									|
% 51.42/14.92  									+-Applying beta-rule and splitting (45), into two cases.
% 51.42/14.92  									|-Branch one:
% 51.42/14.92  									| (46) s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 51.42/14.93  									|
% 51.42/14.93  										| Applying alpha-rule on (46) yields:
% 51.42/14.93  										| (47) s(all_0_11_11) = all_0_10_10
% 51.42/14.93  										| (48)  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 51.42/14.93  										| (49)  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0))
% 51.42/14.93  										| (50) (all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 51.42/14.93  										|
% 51.42/14.93  										+-Applying beta-rule and splitting (101), into two cases.
% 51.42/14.93  										|-Branch one:
% 51.42/14.93  										| (102)  ~ (all_0_0_0 = 0)
% 51.42/14.93  										|
% 51.42/14.93  											+-Applying beta-rule and splitting (50), into two cases.
% 51.42/14.93  											|-Branch one:
% 51.42/14.93  											| (65) all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0
% 51.42/14.93  											|
% 51.42/14.93  												| Applying alpha-rule on (65) yields:
% 51.42/14.93  												| (66) all_0_12_12 = 0
% 51.42/14.93  												| (67)  ~ (all_0_14_14 = 0)
% 51.42/14.93  												| (68) q(all_0_15_15) = all_0_14_14
% 51.42/14.93  												| (69) p(all_0_13_13) = 0
% 51.42/14.93  												|
% 51.42/14.93  												| Instantiating formula (14) with all_0_13_13 and discharging atoms p(all_0_13_13) = 0, yields:
% 51.42/14.93  												| (63) all_0_0_0 = 0
% 51.42/14.93  												|
% 51.42/14.93  												| Equations (63) can reduce 102 to:
% 51.42/14.93  												| (59) $false
% 51.42/14.93  												|
% 51.42/14.93  												|-The branch is then unsatisfiable
% 51.42/14.93  											|-Branch two:
% 51.42/14.93  											| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 51.42/14.93  											|
% 51.42/14.93  												| Applying alpha-rule on (76) yields:
% 51.42/14.93  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 51.42/14.93  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 51.42/14.93  												|
% 51.42/14.93  												| Instantiating formula (77) with all_0_16_16, all_0_17_17 and discharging atoms q(all_0_17_17) = all_0_16_16, yields:
% 51.42/14.93  												| (42) all_0_16_16 = 0
% 51.42/14.93  												|
% 51.42/14.93  												| From (42) and (23) follows:
% 51.42/14.93  												| (264) q(all_0_17_17) = 0
% 51.42/14.93  												|
% 51.42/14.93  												| Instantiating formula (212) with all_0_17_17 and discharging atoms q(all_0_17_17) = 0, yields:
% 51.42/14.93  												| (79) $false
% 51.42/14.93  												|
% 51.42/14.93  												|-The branch is then unsatisfiable
% 51.42/14.93  										|-Branch two:
% 51.42/14.93  										| (63) all_0_0_0 = 0
% 51.42/14.93  										| (120) all_0_8_8 = 0
% 51.42/14.93  										|
% 51.42/14.93  											| Equations (120) can reduce 55 to:
% 51.42/14.93  											| (59) $false
% 51.42/14.93  											|
% 51.42/14.93  											|-The branch is then unsatisfiable
% 51.42/14.93  									|-Branch two:
% 51.42/14.93  									| (83)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))
% 51.42/14.93  									|
% 51.42/14.93  										| Applying alpha-rule on (83) yields:
% 51.42/14.93  										| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 51.42/14.93  										| (85) (all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0))
% 51.42/14.93  										|
% 51.42/14.93  										| Instantiating formula (84) with all_0_20_20, all_0_21_21 and discharging atoms s(all_0_21_21) = all_0_20_20, yields:
% 51.42/14.93  										| (86)  ? [v0] :  ? [v1] : (( ~ (all_0_20_20 = 0) | ( ~ (v1 = 0) & s(v0) = v1)) & (all_0_20_20 = 0 | (v1 = 0 & s(v0) = 0)))
% 51.42/14.93  										|
% 51.42/14.93  										| Instantiating (86) with all_277_0_210, all_277_1_211 yields:
% 51.42/14.93  										| (458) ( ~ (all_0_20_20 = 0) | ( ~ (all_277_0_210 = 0) & s(all_277_1_211) = all_277_0_210)) & (all_0_20_20 = 0 | (all_277_0_210 = 0 & s(all_277_1_211) = 0))
% 51.42/14.93  										|
% 51.42/14.93  										| Applying alpha-rule on (458) yields:
% 51.42/14.93  										| (459)  ~ (all_0_20_20 = 0) | ( ~ (all_277_0_210 = 0) & s(all_277_1_211) = all_277_0_210)
% 51.42/14.93  										| (460) all_0_20_20 = 0 | (all_277_0_210 = 0 & s(all_277_1_211) = 0)
% 51.42/14.93  										|
% 51.42/14.93  										+-Applying beta-rule and splitting (460), into two cases.
% 51.42/14.93  										|-Branch one:
% 51.42/14.93  										| (81) all_0_20_20 = 0
% 51.42/14.93  										|
% 51.42/14.93  											| Equations (81) can reduce 34 to:
% 51.42/14.93  											| (59) $false
% 51.42/14.93  											|
% 51.42/14.93  											|-The branch is then unsatisfiable
% 51.42/14.93  										|-Branch two:
% 51.42/14.93  										| (34)  ~ (all_0_20_20 = 0)
% 51.42/14.93  										| (464) all_277_0_210 = 0 & s(all_277_1_211) = 0
% 51.42/14.93  										|
% 51.42/14.93  											| Applying alpha-rule on (464) yields:
% 51.42/14.93  											| (465) all_277_0_210 = 0
% 51.42/14.93  											| (466) s(all_277_1_211) = 0
% 51.42/14.93  											|
% 51.42/14.93  											| Instantiating formula (62) with all_277_1_211 and discharging atoms s(all_277_1_211) = 0, yields:
% 51.42/14.93  											| (79) $false
% 51.42/14.93  											|
% 51.42/14.93  											|-The branch is then unsatisfiable
% 51.42/14.93  							|-Branch two:
% 51.42/14.93  							| (468) ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (s(v0) = 0)) & ((all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))
% 51.42/14.93  							|
% 51.42/14.93  								| Applying alpha-rule on (468) yields:
% 51.42/14.93  								| (469) (all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))
% 51.42/14.93  								| (470) (s(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (s(v0) = 0)) & ((all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))
% 51.42/14.93  								|
% 51.42/14.93  								+-Applying beta-rule and splitting (469), into two cases.
% 51.42/14.93  								|-Branch one:
% 51.42/14.93  								| (471) all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14
% 51.42/14.93  								|
% 51.42/14.93  									| Applying alpha-rule on (471) yields:
% 51.42/14.93  									| (66) all_0_12_12 = 0
% 51.42/14.93  									| (67)  ~ (all_0_14_14 = 0)
% 51.42/14.93  									| (310) s(all_0_13_13) = 0
% 51.42/14.93  									| (475) p(all_0_15_15) = all_0_14_14
% 51.42/14.93  									|
% 51.42/14.93  									| Instantiating formula (13) with all_0_14_14, all_0_15_15 and discharging atoms p(all_0_15_15) = all_0_14_14, yields:
% 51.42/14.93  									| (476)  ~ (all_0_0_0 = 0) | all_0_14_14 = 0
% 51.42/14.93  									|
% 51.42/14.93  									+-Applying beta-rule and splitting (470), into two cases.
% 51.42/14.93  									|-Branch one:
% 51.42/14.93  									| (477) s(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (s(v0) = 0)) & ((all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0)))
% 51.42/14.93  									|
% 51.42/14.93  										| Applying alpha-rule on (477) yields:
% 51.42/14.93  										| (478) s(all_0_9_9) = all_0_8_8
% 51.42/14.93  										| (479)  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 51.42/14.93  										| (480)  ! [v0] : (all_0_8_8 = 0 |  ~ (s(v0) = 0))
% 51.42/14.93  										| (481) (all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0))
% 51.42/14.93  										|
% 51.42/14.93  										| Instantiating formula (480) with all_0_13_13 and discharging atoms s(all_0_13_13) = 0, yields:
% 51.42/14.93  										| (120) all_0_8_8 = 0
% 51.42/14.93  										|
% 51.42/14.93  										| Instantiating formula (479) with all_0_20_20, all_0_21_21 and discharging atoms s(all_0_21_21) = all_0_20_20, yields:
% 51.42/14.93  										| (483)  ~ (all_0_8_8 = 0) | all_0_20_20 = 0
% 51.42/14.93  										|
% 51.42/14.93  										+-Applying beta-rule and splitting (483), into two cases.
% 51.42/14.93  										|-Branch one:
% 51.42/14.93  										| (55)  ~ (all_0_8_8 = 0)
% 51.42/14.93  										|
% 51.42/14.93  											| Equations (120) can reduce 55 to:
% 51.42/14.93  											| (59) $false
% 51.42/14.93  											|
% 51.42/14.93  											|-The branch is then unsatisfiable
% 51.42/14.93  										|-Branch two:
% 51.42/14.93  										| (120) all_0_8_8 = 0
% 51.42/14.93  										| (81) all_0_20_20 = 0
% 51.42/14.93  										|
% 51.42/14.93  											| Equations (81) can reduce 34 to:
% 51.42/14.93  											| (59) $false
% 51.42/14.93  											|
% 51.42/14.93  											|-The branch is then unsatisfiable
% 51.42/14.93  									|-Branch two:
% 51.42/14.93  									| (489)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 51.42/14.93  									|
% 51.42/14.93  										| Applying alpha-rule on (489) yields:
% 51.42/14.93  										| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 51.42/14.93  										| (491) (all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 51.42/14.93  										|
% 51.42/14.93  										+-Applying beta-rule and splitting (476), into two cases.
% 51.42/14.93  										|-Branch one:
% 51.42/14.93  										| (102)  ~ (all_0_0_0 = 0)
% 51.42/14.93  										|
% 51.42/14.93  											+-Applying beta-rule and splitting (491), into two cases.
% 51.42/14.93  											|-Branch one:
% 51.42/14.93  											| (493) all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0
% 51.42/14.93  											|
% 51.42/14.93  												| Applying alpha-rule on (493) yields:
% 51.42/14.93  												| (120) all_0_8_8 = 0
% 51.42/14.93  												| (52)  ~ (all_0_10_10 = 0)
% 51.42/14.93  												| (496) q(all_0_11_11) = all_0_10_10
% 51.42/14.93  												| (497) p(all_0_9_9) = 0
% 51.42/14.93  												|
% 51.42/14.93  												| Instantiating formula (14) with all_0_9_9 and discharging atoms p(all_0_9_9) = 0, yields:
% 51.42/14.93  												| (63) all_0_0_0 = 0
% 51.42/14.93  												|
% 51.42/14.93  												| Equations (63) can reduce 102 to:
% 51.42/14.93  												| (59) $false
% 51.42/14.93  												|
% 51.42/14.93  												|-The branch is then unsatisfiable
% 51.42/14.93  											|-Branch two:
% 51.42/14.93  											| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 51.42/14.93  											|
% 51.42/14.93  												| Applying alpha-rule on (76) yields:
% 51.42/14.93  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 51.42/14.93  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 51.42/14.93  												|
% 51.42/14.93  												| Instantiating formula (77) with all_0_16_16, all_0_17_17 and discharging atoms q(all_0_17_17) = all_0_16_16, yields:
% 51.42/14.93  												| (42) all_0_16_16 = 0
% 51.42/14.93  												|
% 51.42/14.93  												| From (42) and (23) follows:
% 51.42/14.93  												| (264) q(all_0_17_17) = 0
% 51.42/14.93  												|
% 51.42/14.93  												| Instantiating formula (212) with all_0_17_17 and discharging atoms q(all_0_17_17) = 0, yields:
% 51.42/14.93  												| (79) $false
% 51.42/14.94  												|
% 51.42/14.94  												|-The branch is then unsatisfiable
% 51.42/14.94  										|-Branch two:
% 51.42/14.94  										| (63) all_0_0_0 = 0
% 51.42/14.94  										| (74) all_0_14_14 = 0
% 51.42/14.94  										|
% 51.42/14.94  											| Equations (74) can reduce 67 to:
% 51.42/14.94  											| (59) $false
% 51.42/14.94  											|
% 51.42/14.94  											|-The branch is then unsatisfiable
% 51.42/14.94  								|-Branch two:
% 51.42/14.94  								| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 51.42/14.94  								|
% 51.42/14.94  									| Applying alpha-rule on (60) yields:
% 51.42/14.94  									| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 51.42/14.94  									| (62)  ! [v0] :  ~ (s(v0) = 0)
% 51.42/14.94  									|
% 51.42/14.94  									| Instantiating formula (61) with all_0_0_0, all_0_1_1 and discharging atoms p(all_0_1_1) = all_0_0_0, yields:
% 51.42/14.94  									| (63) all_0_0_0 = 0
% 51.42/14.94  									|
% 51.42/14.94  									| From (63) and (12) follows:
% 51.42/14.94  									| (64) p(all_0_1_1) = 0
% 51.42/14.94  									|
% 51.42/14.94  									+-Applying beta-rule and splitting (470), into two cases.
% 51.42/14.94  									|-Branch one:
% 51.42/14.94  									| (477) s(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (s(v0) = 0)) & ((all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0)))
% 51.42/14.94  									|
% 51.42/14.94  										| Applying alpha-rule on (477) yields:
% 51.42/14.94  										| (478) s(all_0_9_9) = all_0_8_8
% 51.42/14.94  										| (479)  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 51.42/14.94  										| (480)  ! [v0] : (all_0_8_8 = 0 |  ~ (s(v0) = 0))
% 51.42/14.94  										| (481) (all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0))
% 51.42/14.94  										|
% 51.42/14.94  										+-Applying beta-rule and splitting (481), into two cases.
% 51.42/14.94  										|-Branch one:
% 51.42/14.94  										| (519) all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 51.42/14.94  										|
% 51.42/14.94  											| Applying alpha-rule on (519) yields:
% 51.42/14.94  											| (58) all_0_10_10 = 0
% 51.42/14.94  											| (521) p(all_0_11_11) = 0
% 51.42/14.94  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 51.42/14.94  											|
% 51.42/14.94  											| Instantiating formula (77) with all_0_16_16, all_0_17_17 and discharging atoms q(all_0_17_17) = all_0_16_16, yields:
% 51.42/14.94  											| (42) all_0_16_16 = 0
% 51.42/14.94  											|
% 51.42/14.94  											| From (42) and (23) follows:
% 51.42/14.94  											| (264) q(all_0_17_17) = 0
% 51.42/14.94  											|
% 51.42/14.94  											| Instantiating formula (212) with all_0_17_17 and discharging atoms q(all_0_17_17) = 0, yields:
% 51.42/14.94  											| (79) $false
% 51.42/14.94  											|
% 51.42/14.94  											|-The branch is then unsatisfiable
% 51.42/14.94  										|-Branch two:
% 51.42/14.94  										| (526)  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0)
% 51.42/14.94  										|
% 51.42/14.94  											| Applying alpha-rule on (526) yields:
% 51.42/14.94  											| (52)  ~ (all_0_10_10 = 0)
% 51.42/14.94  											| (496) q(all_0_11_11) = all_0_10_10
% 51.42/14.94  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 51.42/14.94  											|
% 51.42/14.94  											| Instantiating formula (78) with all_0_1_1 and discharging atoms p(all_0_1_1) = 0, yields:
% 51.42/14.94  											| (79) $false
% 51.42/14.94  											|
% 51.42/14.94  											|-The branch is then unsatisfiable
% 51.42/14.94  									|-Branch two:
% 51.42/14.94  									| (489)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 51.42/14.94  									|
% 51.42/14.94  										| Applying alpha-rule on (489) yields:
% 51.42/14.94  										| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 51.42/14.94  										| (491) (all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 51.42/14.94  										|
% 51.42/14.94  										| Instantiating formula (84) with all_0_20_20, all_0_21_21 and discharging atoms s(all_0_21_21) = all_0_20_20, yields:
% 51.42/14.94  										| (86)  ? [v0] :  ? [v1] : (( ~ (all_0_20_20 = 0) | ( ~ (v1 = 0) & s(v0) = v1)) & (all_0_20_20 = 0 | (v1 = 0 & s(v0) = 0)))
% 51.42/14.94  										|
% 51.42/14.94  										| Instantiating (86) with all_277_0_332, all_277_1_333 yields:
% 51.42/14.94  										| (535) ( ~ (all_0_20_20 = 0) | ( ~ (all_277_0_332 = 0) & s(all_277_1_333) = all_277_0_332)) & (all_0_20_20 = 0 | (all_277_0_332 = 0 & s(all_277_1_333) = 0))
% 51.42/14.94  										|
% 51.42/14.94  										| Applying alpha-rule on (535) yields:
% 51.42/14.94  										| (536)  ~ (all_0_20_20 = 0) | ( ~ (all_277_0_332 = 0) & s(all_277_1_333) = all_277_0_332)
% 51.42/14.94  										| (537) all_0_20_20 = 0 | (all_277_0_332 = 0 & s(all_277_1_333) = 0)
% 51.42/14.94  										|
% 51.42/14.94  										+-Applying beta-rule and splitting (537), into two cases.
% 51.42/14.94  										|-Branch one:
% 51.42/14.94  										| (81) all_0_20_20 = 0
% 51.42/14.94  										|
% 51.42/14.94  											| Equations (81) can reduce 34 to:
% 51.42/14.94  											| (59) $false
% 51.42/14.94  											|
% 51.42/14.94  											|-The branch is then unsatisfiable
% 51.42/14.94  										|-Branch two:
% 51.42/14.94  										| (34)  ~ (all_0_20_20 = 0)
% 51.42/14.94  										| (541) all_277_0_332 = 0 & s(all_277_1_333) = 0
% 51.42/14.94  										|
% 51.42/14.94  											| Applying alpha-rule on (541) yields:
% 51.42/14.94  											| (542) all_277_0_332 = 0
% 51.42/14.94  											| (543) s(all_277_1_333) = 0
% 51.42/14.94  											|
% 51.42/14.94  											| Instantiating formula (62) with all_277_1_333 and discharging atoms s(all_277_1_333) = 0, yields:
% 51.42/14.94  											| (79) $false
% 51.42/14.94  											|
% 51.42/14.94  											|-The branch is then unsatisfiable
% 51.42/14.94  					|-Branch two:
% 51.42/14.94  					| (219)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)
% 51.42/14.94  					|
% 51.42/14.94  						| Applying alpha-rule on (219) yields:
% 51.42/14.94  						| (220)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))
% 51.42/14.94  						| (221)  ! [v0] :  ~ (r(v0) = 0)
% 51.42/14.94  						|
% 51.42/14.94  						+-Applying beta-rule and splitting (17), into two cases.
% 51.42/14.94  						|-Branch one:
% 51.42/14.94  						| (38) all_0_2_2 = 0 & q(all_0_3_3) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 51.42/14.94  						|
% 51.42/14.94  							| Applying alpha-rule on (38) yields:
% 51.42/14.94  							| (39) all_0_2_2 = 0
% 51.42/14.94  							| (40) q(all_0_3_3) = 0
% 51.42/14.94  							| (41)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 51.42/14.94  							|
% 51.42/14.94  							| Instantiating formula (25) with all_0_3_3 and discharging atoms q(all_0_3_3) = 0, yields:
% 51.42/14.94  							| (42) all_0_16_16 = 0
% 51.42/14.94  							|
% 51.42/14.94  							+-Applying beta-rule and splitting (371), into two cases.
% 51.42/14.94  							|-Branch one:
% 51.42/14.94  							| (391) ((all_0_8_8 = 0 & s(all_0_9_9) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_8_8 = 0) & p(all_0_9_9) = all_0_8_8 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))))
% 51.42/14.94  							|
% 51.42/14.94  								| Applying alpha-rule on (391) yields:
% 51.42/14.94  								| (392) (all_0_8_8 = 0 & s(all_0_9_9) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_8_8 = 0) & p(all_0_9_9) = all_0_8_8 &  ! [v0] :  ~ (s(v0) = 0))
% 51.42/14.94  								| (45) (s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0))))
% 51.42/14.94  								|
% 51.42/14.94  								+-Applying beta-rule and splitting (45), into two cases.
% 51.42/14.94  								|-Branch one:
% 51.42/14.94  								| (46) s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 51.42/14.94  								|
% 51.42/14.94  									| Applying alpha-rule on (46) yields:
% 51.42/14.94  									| (47) s(all_0_11_11) = all_0_10_10
% 51.42/14.94  									| (48)  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 51.42/14.94  									| (49)  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0))
% 51.42/14.94  									| (50) (all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 51.42/14.94  									|
% 51.42/14.94  									| Instantiating formula (220) with all_0_10_10, all_0_11_11 and discharging atoms s(all_0_11_11) = all_0_10_10, yields:
% 51.42/14.94  									| (58) all_0_10_10 = 0
% 51.42/14.94  									|
% 51.42/14.94  									| From (58) and (47) follows:
% 51.42/14.94  									| (138) s(all_0_11_11) = 0
% 51.42/14.94  									|
% 51.42/14.94  									+-Applying beta-rule and splitting (392), into two cases.
% 51.42/14.94  									|-Branch one:
% 51.42/14.94  									| (394) all_0_8_8 = 0 & s(all_0_9_9) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 51.42/14.94  									|
% 51.42/14.94  										| Applying alpha-rule on (394) yields:
% 51.42/14.94  										| (120) all_0_8_8 = 0
% 51.42/14.94  										| (396) s(all_0_9_9) = 0
% 51.42/14.94  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 51.42/14.94  										|
% 51.42/14.94  										| Instantiating formula (61) with all_0_0_0, all_0_1_1 and discharging atoms p(all_0_1_1) = all_0_0_0, yields:
% 51.42/14.94  										| (63) all_0_0_0 = 0
% 51.42/14.94  										|
% 51.42/14.94  										| From (63) and (12) follows:
% 51.42/14.94  										| (64) p(all_0_1_1) = 0
% 51.42/14.94  										|
% 51.42/14.94  										+-Applying beta-rule and splitting (50), into two cases.
% 51.42/14.94  										|-Branch one:
% 51.42/14.94  										| (65) all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0
% 51.42/14.94  										|
% 51.42/14.94  											| Applying alpha-rule on (65) yields:
% 51.42/14.94  											| (66) all_0_12_12 = 0
% 51.42/14.94  											| (67)  ~ (all_0_14_14 = 0)
% 51.42/14.94  											| (68) q(all_0_15_15) = all_0_14_14
% 51.42/14.94  											| (69) p(all_0_13_13) = 0
% 51.42/14.94  											|
% 51.42/14.94  											| Instantiating formula (24) with all_0_14_14, all_0_15_15 and discharging atoms q(all_0_15_15) = all_0_14_14, yields:
% 51.42/14.94  											| (70)  ~ (all_0_16_16 = 0) | all_0_14_14 = 0
% 51.42/14.95  											|
% 51.42/14.95  											+-Applying beta-rule and splitting (70), into two cases.
% 51.42/14.95  											|-Branch one:
% 51.42/14.95  											| (71)  ~ (all_0_16_16 = 0)
% 51.42/14.95  											|
% 51.42/14.95  												| Equations (42) can reduce 71 to:
% 51.42/14.95  												| (59) $false
% 51.42/14.95  												|
% 51.42/14.95  												|-The branch is then unsatisfiable
% 51.42/14.95  											|-Branch two:
% 51.42/14.95  											| (42) all_0_16_16 = 0
% 51.42/14.95  											| (74) all_0_14_14 = 0
% 51.42/14.95  											|
% 51.42/14.95  												| Equations (74) can reduce 67 to:
% 51.42/14.95  												| (59) $false
% 51.42/14.95  												|
% 51.42/14.95  												|-The branch is then unsatisfiable
% 51.42/14.95  										|-Branch two:
% 51.42/14.95  										| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 51.42/14.95  										|
% 51.42/14.95  											| Applying alpha-rule on (76) yields:
% 51.42/14.95  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 51.42/14.95  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 51.42/14.95  											|
% 51.42/14.95  											| Instantiating formula (78) with all_0_1_1 and discharging atoms p(all_0_1_1) = 0, yields:
% 51.42/14.95  											| (79) $false
% 51.42/14.95  											|
% 51.42/14.95  											|-The branch is then unsatisfiable
% 51.42/14.95  									|-Branch two:
% 51.42/14.95  									| (427)  ~ (all_0_8_8 = 0) & p(all_0_9_9) = all_0_8_8 &  ! [v0] :  ~ (s(v0) = 0)
% 51.42/14.95  									|
% 51.42/14.95  										| Applying alpha-rule on (427) yields:
% 51.42/14.95  										| (55)  ~ (all_0_8_8 = 0)
% 51.42/14.95  										| (57) p(all_0_9_9) = all_0_8_8
% 51.42/14.95  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 51.42/14.95  										|
% 51.42/14.95  										| Instantiating formula (62) with all_0_11_11 and discharging atoms s(all_0_11_11) = 0, yields:
% 51.42/14.95  										| (79) $false
% 51.42/14.95  										|
% 51.42/14.95  										|-The branch is then unsatisfiable
% 51.42/14.95  								|-Branch two:
% 51.42/14.95  								| (83)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))
% 51.42/14.95  								|
% 51.42/14.95  									| Applying alpha-rule on (83) yields:
% 51.42/14.95  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 51.42/14.95  									| (85) (all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0))
% 51.42/14.95  									|
% 51.42/14.95  									+-Applying beta-rule and splitting (392), into two cases.
% 51.42/14.95  									|-Branch one:
% 51.42/14.95  									| (394) all_0_8_8 = 0 & s(all_0_9_9) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 51.42/14.95  									|
% 51.42/14.95  										| Applying alpha-rule on (394) yields:
% 51.42/14.95  										| (120) all_0_8_8 = 0
% 51.42/14.95  										| (396) s(all_0_9_9) = 0
% 51.42/14.95  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 51.42/14.95  										|
% 51.42/14.95  										| Instantiating formula (84) with 0, all_0_9_9 and discharging atoms s(all_0_9_9) = 0, yields:
% 51.42/14.95  										| (278)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & s(v0) = v1)
% 51.42/14.95  										|
% 51.42/14.95  										| Instantiating (278) with all_67_0_334, all_67_1_335 yields:
% 51.42/14.95  										| (597)  ~ (all_67_0_334 = 0) & s(all_67_1_335) = all_67_0_334
% 51.42/14.95  										|
% 51.42/14.95  										| Applying alpha-rule on (597) yields:
% 51.42/14.95  										| (598)  ~ (all_67_0_334 = 0)
% 51.42/14.95  										| (599) s(all_67_1_335) = all_67_0_334
% 51.42/14.95  										|
% 51.42/14.95  										| Instantiating formula (220) with all_67_0_334, all_67_1_335 and discharging atoms s(all_67_1_335) = all_67_0_334, yields:
% 51.42/14.95  										| (600) all_67_0_334 = 0
% 51.42/14.95  										|
% 51.42/14.95  										| Equations (600) can reduce 598 to:
% 51.42/14.95  										| (59) $false
% 51.42/14.95  										|
% 51.42/14.95  										|-The branch is then unsatisfiable
% 51.42/14.95  									|-Branch two:
% 51.42/14.95  									| (427)  ~ (all_0_8_8 = 0) & p(all_0_9_9) = all_0_8_8 &  ! [v0] :  ~ (s(v0) = 0)
% 51.42/14.95  									|
% 51.42/14.95  										| Applying alpha-rule on (427) yields:
% 51.42/14.95  										| (55)  ~ (all_0_8_8 = 0)
% 51.42/14.95  										| (57) p(all_0_9_9) = all_0_8_8
% 51.42/14.95  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 51.42/14.95  										|
% 51.42/14.95  										| Instantiating formula (13) with all_0_8_8, all_0_9_9 and discharging atoms p(all_0_9_9) = all_0_8_8, yields:
% 51.42/14.95  										| (101)  ~ (all_0_0_0 = 0) | all_0_8_8 = 0
% 51.42/14.95  										|
% 51.42/14.95  										+-Applying beta-rule and splitting (85), into two cases.
% 51.42/14.95  										|-Branch one:
% 51.42/14.95  										| (103) all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 51.42/14.95  										|
% 51.42/14.95  											| Applying alpha-rule on (103) yields:
% 51.42/14.95  											| (74) all_0_14_14 = 0
% 51.42/14.95  											| (105) p(all_0_15_15) = 0
% 51.42/14.95  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 51.42/14.95  											|
% 51.42/14.95  											+-Applying beta-rule and splitting (101), into two cases.
% 51.42/14.95  											|-Branch one:
% 51.42/14.95  											| (102)  ~ (all_0_0_0 = 0)
% 51.42/14.95  											|
% 51.42/14.95  												| Instantiating formula (14) with all_0_15_15 and discharging atoms p(all_0_15_15) = 0, yields:
% 51.42/14.95  												| (63) all_0_0_0 = 0
% 51.42/14.95  												|
% 51.42/14.95  												| Equations (63) can reduce 102 to:
% 51.42/14.95  												| (59) $false
% 51.42/14.95  												|
% 51.42/14.95  												|-The branch is then unsatisfiable
% 51.42/14.95  											|-Branch two:
% 51.42/14.95  											| (63) all_0_0_0 = 0
% 51.42/14.95  											| (120) all_0_8_8 = 0
% 51.42/14.95  											|
% 51.42/14.95  												| Equations (120) can reduce 55 to:
% 51.42/14.95  												| (59) $false
% 51.42/14.95  												|
% 51.42/14.95  												|-The branch is then unsatisfiable
% 51.42/14.95  										|-Branch two:
% 51.42/14.95  										| (109)  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)
% 51.42/14.95  										|
% 51.42/14.95  											| Applying alpha-rule on (109) yields:
% 51.42/14.95  											| (67)  ~ (all_0_14_14 = 0)
% 51.42/14.95  											| (68) q(all_0_15_15) = all_0_14_14
% 51.42/14.95  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 51.42/14.95  											|
% 51.42/14.95  											| Instantiating formula (24) with all_0_14_14, all_0_15_15 and discharging atoms q(all_0_15_15) = all_0_14_14, yields:
% 51.42/14.95  											| (70)  ~ (all_0_16_16 = 0) | all_0_14_14 = 0
% 51.42/14.95  											|
% 51.42/14.95  											+-Applying beta-rule and splitting (70), into two cases.
% 51.42/14.95  											|-Branch one:
% 51.42/14.95  											| (71)  ~ (all_0_16_16 = 0)
% 51.42/14.95  											|
% 51.42/14.95  												| Equations (42) can reduce 71 to:
% 51.42/14.95  												| (59) $false
% 51.42/14.95  												|
% 51.42/14.95  												|-The branch is then unsatisfiable
% 51.42/14.95  											|-Branch two:
% 51.42/14.95  											| (42) all_0_16_16 = 0
% 51.42/14.95  											| (74) all_0_14_14 = 0
% 51.42/14.95  											|
% 51.42/14.95  												| Equations (74) can reduce 67 to:
% 51.42/14.95  												| (59) $false
% 51.42/14.95  												|
% 51.42/14.95  												|-The branch is then unsatisfiable
% 51.42/14.95  							|-Branch two:
% 51.42/14.95  							| (468) ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (s(v0) = 0)) & ((all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))
% 51.42/14.95  							|
% 51.42/14.95  								| Applying alpha-rule on (468) yields:
% 51.42/14.95  								| (469) (all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))
% 51.42/14.95  								| (470) (s(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (s(v0) = 0)) & ((all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))
% 51.42/14.95  								|
% 51.42/14.95  								+-Applying beta-rule and splitting (470), into two cases.
% 51.42/14.95  								|-Branch one:
% 51.42/14.95  								| (477) s(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (s(v0) = 0)) & ((all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0)))
% 51.42/14.95  								|
% 51.42/14.95  									| Applying alpha-rule on (477) yields:
% 51.42/14.95  									| (478) s(all_0_9_9) = all_0_8_8
% 51.42/14.95  									| (479)  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 51.42/14.95  									| (480)  ! [v0] : (all_0_8_8 = 0 |  ~ (s(v0) = 0))
% 51.42/14.95  									| (481) (all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0))
% 51.42/14.95  									|
% 51.42/14.95  									| Instantiating formula (220) with all_0_8_8, all_0_9_9 and discharging atoms s(all_0_9_9) = all_0_8_8, yields:
% 51.42/14.95  									| (120) all_0_8_8 = 0
% 51.42/14.95  									|
% 51.42/14.95  									| From (120) and (478) follows:
% 51.42/14.95  									| (396) s(all_0_9_9) = 0
% 51.42/14.95  									|
% 51.42/14.95  									+-Applying beta-rule and splitting (469), into two cases.
% 51.42/14.95  									|-Branch one:
% 51.42/14.95  									| (471) all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14
% 51.42/14.95  									|
% 51.42/14.95  										| Applying alpha-rule on (471) yields:
% 51.42/14.95  										| (66) all_0_12_12 = 0
% 51.42/14.95  										| (67)  ~ (all_0_14_14 = 0)
% 51.42/14.95  										| (310) s(all_0_13_13) = 0
% 51.42/14.95  										| (475) p(all_0_15_15) = all_0_14_14
% 51.42/14.95  										|
% 51.42/14.95  										| Instantiating formula (13) with all_0_14_14, all_0_15_15 and discharging atoms p(all_0_15_15) = all_0_14_14, yields:
% 51.42/14.95  										| (476)  ~ (all_0_0_0 = 0) | all_0_14_14 = 0
% 51.42/14.95  										|
% 51.42/14.95  										+-Applying beta-rule and splitting (481), into two cases.
% 51.42/14.95  										|-Branch one:
% 51.42/14.95  										| (519) all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 51.42/14.95  										|
% 51.42/14.95  											| Applying alpha-rule on (519) yields:
% 51.42/14.95  											| (58) all_0_10_10 = 0
% 51.42/14.95  											| (521) p(all_0_11_11) = 0
% 51.42/14.95  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 51.42/14.95  											|
% 51.42/14.95  											+-Applying beta-rule and splitting (476), into two cases.
% 51.42/14.95  											|-Branch one:
% 51.42/14.95  											| (102)  ~ (all_0_0_0 = 0)
% 51.42/14.95  											|
% 51.42/14.95  												| Instantiating formula (14) with all_0_11_11 and discharging atoms p(all_0_11_11) = 0, yields:
% 51.42/14.95  												| (63) all_0_0_0 = 0
% 51.42/14.95  												|
% 51.42/14.95  												| Equations (63) can reduce 102 to:
% 51.42/14.95  												| (59) $false
% 51.42/14.95  												|
% 51.42/14.95  												|-The branch is then unsatisfiable
% 51.42/14.95  											|-Branch two:
% 51.42/14.95  											| (63) all_0_0_0 = 0
% 51.42/14.95  											| (74) all_0_14_14 = 0
% 51.42/14.95  											|
% 51.42/14.95  												| Equations (74) can reduce 67 to:
% 51.42/14.95  												| (59) $false
% 51.42/14.95  												|
% 51.42/14.95  												|-The branch is then unsatisfiable
% 51.42/14.95  										|-Branch two:
% 51.42/14.95  										| (526)  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0)
% 51.42/14.95  										|
% 51.42/14.95  											| Applying alpha-rule on (526) yields:
% 51.42/14.95  											| (52)  ~ (all_0_10_10 = 0)
% 51.42/14.95  											| (496) q(all_0_11_11) = all_0_10_10
% 51.42/14.95  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 51.42/14.95  											|
% 51.42/14.95  											| Instantiating formula (24) with all_0_10_10, all_0_11_11 and discharging atoms q(all_0_11_11) = all_0_10_10, yields:
% 51.42/14.96  											| (657)  ~ (all_0_16_16 = 0) | all_0_10_10 = 0
% 51.42/14.96  											|
% 51.42/14.96  											+-Applying beta-rule and splitting (657), into two cases.
% 51.42/14.96  											|-Branch one:
% 51.42/14.96  											| (71)  ~ (all_0_16_16 = 0)
% 51.42/14.96  											|
% 51.42/14.96  												| Equations (42) can reduce 71 to:
% 51.42/14.96  												| (59) $false
% 51.42/14.96  												|
% 51.42/14.96  												|-The branch is then unsatisfiable
% 51.42/14.96  											|-Branch two:
% 51.42/14.96  											| (42) all_0_16_16 = 0
% 51.42/14.96  											| (58) all_0_10_10 = 0
% 51.42/14.96  											|
% 51.42/14.96  												| Equations (58) can reduce 52 to:
% 51.42/14.96  												| (59) $false
% 51.42/14.96  												|
% 51.42/14.96  												|-The branch is then unsatisfiable
% 51.42/14.96  									|-Branch two:
% 51.42/14.96  									| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 51.42/14.96  									|
% 51.42/14.96  										| Applying alpha-rule on (60) yields:
% 51.42/14.96  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 51.42/14.96  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 51.42/14.96  										|
% 51.42/14.96  										| Instantiating formula (62) with all_0_9_9 and discharging atoms s(all_0_9_9) = 0, yields:
% 51.42/14.96  										| (79) $false
% 51.42/14.96  										|
% 51.42/14.96  										|-The branch is then unsatisfiable
% 51.42/14.96  								|-Branch two:
% 51.42/14.96  								| (489)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 51.42/14.96  								|
% 51.42/14.96  									| Applying alpha-rule on (489) yields:
% 51.42/14.96  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 51.42/14.96  									| (491) (all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 51.42/14.96  									|
% 51.42/14.96  									+-Applying beta-rule and splitting (469), into two cases.
% 51.42/14.96  									|-Branch one:
% 51.42/14.96  									| (471) all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14
% 51.42/14.96  									|
% 51.42/14.96  										| Applying alpha-rule on (471) yields:
% 51.42/14.96  										| (66) all_0_12_12 = 0
% 51.42/14.96  										| (67)  ~ (all_0_14_14 = 0)
% 51.42/14.96  										| (310) s(all_0_13_13) = 0
% 51.42/14.96  										| (475) p(all_0_15_15) = all_0_14_14
% 51.42/14.96  										|
% 51.42/14.96  										| Instantiating formula (84) with 0, all_0_13_13 and discharging atoms s(all_0_13_13) = 0, yields:
% 51.42/14.96  										| (278)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & s(v0) = v1)
% 51.42/14.96  										|
% 51.42/14.96  										| Instantiating (278) with all_65_0_336, all_65_1_337 yields:
% 51.42/14.96  										| (676)  ~ (all_65_0_336 = 0) & s(all_65_1_337) = all_65_0_336
% 51.42/14.96  										|
% 51.42/14.96  										| Applying alpha-rule on (676) yields:
% 51.42/14.96  										| (677)  ~ (all_65_0_336 = 0)
% 51.42/14.96  										| (678) s(all_65_1_337) = all_65_0_336
% 51.42/14.96  										|
% 51.42/14.96  										| Instantiating formula (220) with all_65_0_336, all_65_1_337 and discharging atoms s(all_65_1_337) = all_65_0_336, yields:
% 51.42/14.96  										| (679) all_65_0_336 = 0
% 51.42/14.96  										|
% 51.42/14.96  										| Equations (679) can reduce 677 to:
% 51.42/14.96  										| (59) $false
% 51.42/14.96  										|
% 51.42/14.96  										|-The branch is then unsatisfiable
% 51.42/14.96  									|-Branch two:
% 51.42/14.96  									| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 51.42/14.96  									|
% 51.42/14.96  										| Applying alpha-rule on (60) yields:
% 51.42/14.96  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 51.42/14.96  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 51.42/14.96  										|
% 51.42/14.96  										| Instantiating formula (61) with all_0_0_0, all_0_1_1 and discharging atoms p(all_0_1_1) = all_0_0_0, yields:
% 51.42/14.96  										| (63) all_0_0_0 = 0
% 51.42/14.96  										|
% 51.42/14.96  										| From (63) and (12) follows:
% 51.42/14.96  										| (64) p(all_0_1_1) = 0
% 51.42/14.96  										|
% 51.42/14.96  										+-Applying beta-rule and splitting (491), into two cases.
% 51.42/14.96  										|-Branch one:
% 51.42/14.96  										| (493) all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0
% 51.42/14.96  										|
% 51.42/14.96  											| Applying alpha-rule on (493) yields:
% 51.42/14.96  											| (120) all_0_8_8 = 0
% 51.42/14.96  											| (52)  ~ (all_0_10_10 = 0)
% 51.42/14.96  											| (496) q(all_0_11_11) = all_0_10_10
% 51.42/14.96  											| (497) p(all_0_9_9) = 0
% 51.42/14.96  											|
% 51.42/14.96  											| Instantiating formula (24) with all_0_10_10, all_0_11_11 and discharging atoms q(all_0_11_11) = all_0_10_10, yields:
% 51.42/14.96  											| (657)  ~ (all_0_16_16 = 0) | all_0_10_10 = 0
% 51.42/14.96  											|
% 51.42/14.96  											+-Applying beta-rule and splitting (657), into two cases.
% 51.42/14.96  											|-Branch one:
% 51.42/14.96  											| (71)  ~ (all_0_16_16 = 0)
% 51.42/14.96  											|
% 51.42/14.96  												| Equations (42) can reduce 71 to:
% 51.42/14.96  												| (59) $false
% 51.42/14.96  												|
% 51.42/14.96  												|-The branch is then unsatisfiable
% 51.42/14.96  											|-Branch two:
% 51.42/14.96  											| (42) all_0_16_16 = 0
% 51.42/14.96  											| (58) all_0_10_10 = 0
% 51.42/14.96  											|
% 51.42/14.96  												| Equations (58) can reduce 52 to:
% 51.42/14.96  												| (59) $false
% 51.42/14.96  												|
% 51.42/14.96  												|-The branch is then unsatisfiable
% 51.42/14.96  										|-Branch two:
% 51.42/14.96  										| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 51.42/14.96  										|
% 51.42/14.96  											| Applying alpha-rule on (76) yields:
% 51.42/14.96  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 51.42/14.96  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 51.42/14.96  											|
% 51.42/14.96  											| Instantiating formula (78) with all_0_1_1 and discharging atoms p(all_0_1_1) = 0, yields:
% 51.42/14.96  											| (79) $false
% 51.42/14.96  											|
% 51.42/14.96  											|-The branch is then unsatisfiable
% 51.42/14.96  						|-Branch two:
% 51.42/14.96  						| (209)  ~ (all_0_2_2 = 0) & r(all_0_3_3) = all_0_2_2 &  ! [v0] :  ~ (q(v0) = 0)
% 51.42/14.96  						|
% 51.42/14.96  							| Applying alpha-rule on (209) yields:
% 51.42/14.96  							| (210)  ~ (all_0_2_2 = 0)
% 51.42/14.96  							| (211) r(all_0_3_3) = all_0_2_2
% 51.42/14.96  							| (212)  ! [v0] :  ~ (q(v0) = 0)
% 51.42/14.96  							|
% 51.42/14.96  							| Instantiating formula (370) with all_0_2_2, all_0_3_3 and discharging atoms r(all_0_3_3) = all_0_2_2, yields:
% 51.42/14.96  							| (705)  ? [v0] :  ? [v1] : (( ~ (all_0_2_2 = 0) | ( ~ (v1 = 0) & r(v0) = v1)) & (all_0_2_2 = 0 | (v1 = 0 & r(v0) = 0)))
% 51.42/14.96  							|
% 51.42/14.96  							| Instantiating (705) with all_49_0_338, all_49_1_339 yields:
% 51.42/14.96  							| (706) ( ~ (all_0_2_2 = 0) | ( ~ (all_49_0_338 = 0) & r(all_49_1_339) = all_49_0_338)) & (all_0_2_2 = 0 | (all_49_0_338 = 0 & r(all_49_1_339) = 0))
% 51.42/14.96  							|
% 51.42/14.96  							| Applying alpha-rule on (706) yields:
% 51.42/14.96  							| (707)  ~ (all_0_2_2 = 0) | ( ~ (all_49_0_338 = 0) & r(all_49_1_339) = all_49_0_338)
% 51.42/14.96  							| (708) all_0_2_2 = 0 | (all_49_0_338 = 0 & r(all_49_1_339) = 0)
% 51.42/14.96  							|
% 51.42/14.96  							+-Applying beta-rule and splitting (708), into two cases.
% 51.42/14.96  							|-Branch one:
% 51.42/14.96  							| (39) all_0_2_2 = 0
% 51.42/14.96  							|
% 51.42/14.96  								| Equations (39) can reduce 210 to:
% 51.42/14.96  								| (59) $false
% 51.42/14.96  								|
% 51.42/14.96  								|-The branch is then unsatisfiable
% 51.42/14.96  							|-Branch two:
% 51.42/14.96  							| (210)  ~ (all_0_2_2 = 0)
% 51.42/14.96  							| (712) all_49_0_338 = 0 & r(all_49_1_339) = 0
% 51.42/14.96  							|
% 51.42/14.96  								| Applying alpha-rule on (712) yields:
% 51.42/14.96  								| (713) all_49_0_338 = 0
% 51.42/14.96  								| (714) r(all_49_1_339) = 0
% 51.42/14.96  								|
% 51.42/14.96  								| Instantiating formula (221) with all_49_1_339 and discharging atoms r(all_49_1_339) = 0, yields:
% 51.42/14.96  								| (79) $false
% 51.42/14.96  								|
% 51.42/14.96  								|-The branch is then unsatisfiable
% 51.42/14.96  			|-Branch two:
% 51.42/14.96  			| (716)  ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_20_20 = 0 & r(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_20_20 = 0) & s(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (r(v0) = 0)))
% 51.42/14.96  			|
% 51.42/14.96  				| Applying alpha-rule on (716) yields:
% 51.42/14.96  				| (717)  ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0))))
% 51.42/14.96  				| (718) (all_0_20_20 = 0 & r(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_20_20 = 0) & s(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (r(v0) = 0))
% 51.42/14.96  				|
% 51.42/14.96  				+-Applying beta-rule and splitting (20), into two cases.
% 51.42/14.96  				|-Branch one:
% 51.42/14.96  				| (27) r(all_0_5_5) = all_0_4_4 &  ! [v0] :  ! [v1] : ( ~ (all_0_4_4 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_4_4 = 0 |  ~ (r(v0) = 0)) & ((((all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_7_7) = 0 & p(all_0_9_9) = all_0_8_8) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))
% 51.42/14.96  				|
% 51.42/14.96  					| Applying alpha-rule on (27) yields:
% 51.42/14.96  					| (28) r(all_0_5_5) = all_0_4_4
% 51.42/14.96  					| (29)  ! [v0] :  ! [v1] : ( ~ (all_0_4_4 = 0) | v1 = 0 |  ~ (r(v0) = v1))
% 51.42/14.96  					| (30)  ! [v0] : (all_0_4_4 = 0 |  ~ (r(v0) = 0))
% 51.42/14.96  					| (31) (((all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_7_7) = 0 & p(all_0_9_9) = all_0_8_8) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))
% 51.42/14.97  					|
% 51.42/14.97  					+-Applying beta-rule and splitting (718), into two cases.
% 51.42/14.97  					|-Branch one:
% 51.42/14.97  					| (724) all_0_20_20 = 0 & r(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))
% 51.42/14.97  					|
% 51.42/14.97  						| Applying alpha-rule on (724) yields:
% 51.42/14.97  						| (81) all_0_20_20 = 0
% 51.42/14.97  						| (726) r(all_0_21_21) = 0
% 51.42/14.97  						| (220)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))
% 51.42/14.97  						|
% 51.42/14.97  						| Instantiating formula (30) with all_0_21_21 and discharging atoms r(all_0_21_21) = 0, yields:
% 51.42/14.97  						| (37) all_0_4_4 = 0
% 51.42/14.97  						|
% 51.42/14.97  						+-Applying beta-rule and splitting (17), into two cases.
% 51.42/14.97  						|-Branch one:
% 51.42/14.97  						| (38) all_0_2_2 = 0 & q(all_0_3_3) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 51.42/14.97  						|
% 51.42/14.97  							| Applying alpha-rule on (38) yields:
% 51.42/14.97  							| (39) all_0_2_2 = 0
% 51.42/14.97  							| (40) q(all_0_3_3) = 0
% 51.42/14.97  							| (41)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 51.42/14.97  							|
% 51.42/14.97  							| Instantiating formula (717) with 0, all_0_3_3 and discharging atoms q(all_0_3_3) = 0, yields:
% 51.42/14.97  							| (733)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & q(v0) = v1)
% 51.42/14.97  							|
% 51.42/14.97  							| Instantiating (733) with all_57_0_340, all_57_1_341 yields:
% 51.42/14.97  							| (734)  ~ (all_57_0_340 = 0) & q(all_57_1_341) = all_57_0_340
% 51.42/14.97  							|
% 51.42/14.97  							| Applying alpha-rule on (734) yields:
% 51.42/14.97  							| (735)  ~ (all_57_0_340 = 0)
% 51.42/14.97  							| (736) q(all_57_1_341) = all_57_0_340
% 51.42/14.97  							|
% 51.42/14.97  							| Instantiating formula (717) with all_57_0_340, all_57_1_341 and discharging atoms q(all_57_1_341) = all_57_0_340, yields:
% 51.42/14.97  							| (737)  ? [v0] :  ? [v1] : (( ~ (all_57_0_340 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_57_0_340 = 0 | (v1 = 0 & q(v0) = 0)))
% 51.42/14.97  							|
% 51.42/14.97  							| Instantiating (737) with all_64_0_342, all_64_1_343 yields:
% 51.42/14.97  							| (738) ( ~ (all_57_0_340 = 0) | ( ~ (all_64_0_342 = 0) & q(all_64_1_343) = all_64_0_342)) & (all_57_0_340 = 0 | (all_64_0_342 = 0 & q(all_64_1_343) = 0))
% 51.42/14.97  							|
% 51.42/14.97  							| Applying alpha-rule on (738) yields:
% 51.42/14.97  							| (739)  ~ (all_57_0_340 = 0) | ( ~ (all_64_0_342 = 0) & q(all_64_1_343) = all_64_0_342)
% 51.42/14.97  							| (740) all_57_0_340 = 0 | (all_64_0_342 = 0 & q(all_64_1_343) = 0)
% 51.42/14.97  							|
% 51.42/14.97  							+-Applying beta-rule and splitting (31), into two cases.
% 51.42/14.97  							|-Branch one:
% 51.42/14.97  							| (43) ((all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_7_7) = 0 & p(all_0_9_9) = all_0_8_8) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))))
% 51.42/14.97  							|
% 51.42/14.97  								| Applying alpha-rule on (43) yields:
% 51.42/14.97  								| (44) (all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_7_7) = 0 & p(all_0_9_9) = all_0_8_8) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))
% 51.42/14.97  								| (45) (s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0))))
% 51.42/14.97  								|
% 51.42/14.97  								+-Applying beta-rule and splitting (45), into two cases.
% 51.42/14.97  								|-Branch one:
% 51.42/14.97  								| (46) s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 51.42/14.97  								|
% 51.42/14.97  									| Applying alpha-rule on (46) yields:
% 51.42/14.97  									| (47) s(all_0_11_11) = all_0_10_10
% 51.42/14.97  									| (48)  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 51.42/14.97  									| (49)  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0))
% 51.42/14.97  									| (50) (all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 51.42/14.97  									|
% 51.42/14.97  									+-Applying beta-rule and splitting (740), into two cases.
% 51.42/14.97  									|-Branch one:
% 51.42/14.97  									| (749) all_57_0_340 = 0
% 51.42/14.97  									|
% 51.42/14.97  										| Equations (749) can reduce 735 to:
% 51.42/14.97  										| (59) $false
% 51.42/14.97  										|
% 51.42/14.97  										|-The branch is then unsatisfiable
% 51.42/14.97  									|-Branch two:
% 51.42/14.97  									| (735)  ~ (all_57_0_340 = 0)
% 51.42/14.97  									| (752) all_64_0_342 = 0 & q(all_64_1_343) = 0
% 51.42/14.97  									|
% 51.42/14.97  										| Instantiating formula (220) with all_0_10_10, all_0_11_11 and discharging atoms s(all_0_11_11) = all_0_10_10, yields:
% 51.42/14.97  										| (58) all_0_10_10 = 0
% 51.42/14.97  										|
% 51.42/14.97  										| From (58) and (47) follows:
% 51.42/14.97  										| (138) s(all_0_11_11) = 0
% 51.42/14.97  										|
% 51.42/14.97  										+-Applying beta-rule and splitting (44), into two cases.
% 51.42/14.97  										|-Branch one:
% 51.42/14.97  										| (53) all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_7_7) = 0 & p(all_0_9_9) = all_0_8_8
% 51.42/14.97  										|
% 51.42/14.97  											| Applying alpha-rule on (53) yields:
% 51.42/14.97  											| (54) all_0_6_6 = 0
% 51.42/14.97  											| (55)  ~ (all_0_8_8 = 0)
% 51.42/14.97  											| (56) s(all_0_7_7) = 0
% 51.42/14.97  											| (57) p(all_0_9_9) = all_0_8_8
% 51.42/14.97  											|
% 51.42/14.97  											| Instantiating formula (13) with all_0_8_8, all_0_9_9 and discharging atoms p(all_0_9_9) = all_0_8_8, yields:
% 51.42/14.97  											| (101)  ~ (all_0_0_0 = 0) | all_0_8_8 = 0
% 51.42/14.97  											|
% 51.42/14.97  											+-Applying beta-rule and splitting (101), into two cases.
% 51.42/14.97  											|-Branch one:
% 51.42/14.97  											| (102)  ~ (all_0_0_0 = 0)
% 51.42/14.97  											|
% 51.42/14.97  												+-Applying beta-rule and splitting (50), into two cases.
% 51.42/14.97  												|-Branch one:
% 51.42/14.97  												| (65) all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0
% 51.42/14.97  												|
% 51.42/14.97  													| Applying alpha-rule on (65) yields:
% 51.42/14.97  													| (66) all_0_12_12 = 0
% 51.42/14.97  													| (67)  ~ (all_0_14_14 = 0)
% 51.42/14.97  													| (68) q(all_0_15_15) = all_0_14_14
% 51.42/14.97  													| (69) p(all_0_13_13) = 0
% 51.42/14.97  													|
% 51.42/14.97  													| Instantiating formula (14) with all_0_13_13 and discharging atoms p(all_0_13_13) = 0, yields:
% 51.42/14.97  													| (63) all_0_0_0 = 0
% 51.42/14.97  													|
% 51.42/14.97  													| Equations (63) can reduce 102 to:
% 51.42/14.97  													| (59) $false
% 51.42/14.97  													|
% 51.42/14.97  													|-The branch is then unsatisfiable
% 51.42/14.97  												|-Branch two:
% 51.42/14.97  												| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 51.42/14.97  												|
% 51.42/14.97  													| Applying alpha-rule on (76) yields:
% 51.42/14.97  													| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 51.42/14.97  													| (78)  ! [v0] :  ~ (p(v0) = 0)
% 51.42/14.97  													|
% 51.42/14.97  													| Instantiating formula (77) with all_57_0_340, all_57_1_341 and discharging atoms q(all_57_1_341) = all_57_0_340, yields:
% 51.42/14.97  													| (749) all_57_0_340 = 0
% 51.42/14.97  													|
% 51.42/14.97  													| Equations (749) can reduce 735 to:
% 51.42/14.97  													| (59) $false
% 51.42/14.97  													|
% 51.42/14.97  													|-The branch is then unsatisfiable
% 51.42/14.97  											|-Branch two:
% 51.42/14.97  											| (63) all_0_0_0 = 0
% 51.42/14.97  											| (120) all_0_8_8 = 0
% 51.42/14.97  											|
% 51.42/14.97  												| Equations (120) can reduce 55 to:
% 51.42/14.97  												| (59) $false
% 51.42/14.97  												|
% 51.42/14.97  												|-The branch is then unsatisfiable
% 51.42/14.97  										|-Branch two:
% 51.42/14.97  										| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 51.42/14.97  										|
% 51.42/14.97  											| Applying alpha-rule on (60) yields:
% 51.42/14.97  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 51.42/14.97  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 51.42/14.97  											|
% 51.42/14.97  											| Instantiating formula (62) with all_0_11_11 and discharging atoms s(all_0_11_11) = 0, yields:
% 51.42/14.97  											| (79) $false
% 51.42/14.97  											|
% 51.42/14.97  											|-The branch is then unsatisfiable
% 51.42/14.97  								|-Branch two:
% 51.42/14.97  								| (83)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))
% 51.42/14.97  								|
% 51.42/14.97  									| Applying alpha-rule on (83) yields:
% 51.42/14.97  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 51.42/14.97  									| (85) (all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0))
% 51.42/14.97  									|
% 51.42/14.97  									+-Applying beta-rule and splitting (44), into two cases.
% 51.42/14.97  									|-Branch one:
% 51.42/14.97  									| (53) all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_7_7) = 0 & p(all_0_9_9) = all_0_8_8
% 51.42/14.97  									|
% 51.42/14.97  										| Applying alpha-rule on (53) yields:
% 51.42/14.97  										| (54) all_0_6_6 = 0
% 51.42/14.97  										| (55)  ~ (all_0_8_8 = 0)
% 51.42/14.97  										| (56) s(all_0_7_7) = 0
% 51.42/14.97  										| (57) p(all_0_9_9) = all_0_8_8
% 51.42/14.97  										|
% 51.42/14.97  										| Instantiating formula (84) with 0, all_0_7_7 and discharging atoms s(all_0_7_7) = 0, yields:
% 51.42/14.97  										| (278)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & s(v0) = v1)
% 51.42/14.97  										|
% 51.42/14.97  										| Instantiating (278) with all_83_0_354, all_83_1_355 yields:
% 51.42/14.97  										| (790)  ~ (all_83_0_354 = 0) & s(all_83_1_355) = all_83_0_354
% 51.42/14.97  										|
% 51.42/14.97  										| Applying alpha-rule on (790) yields:
% 51.42/14.97  										| (791)  ~ (all_83_0_354 = 0)
% 51.42/14.97  										| (792) s(all_83_1_355) = all_83_0_354
% 51.42/14.97  										|
% 51.42/14.97  										| Instantiating formula (220) with all_83_0_354, all_83_1_355 and discharging atoms s(all_83_1_355) = all_83_0_354, yields:
% 51.42/14.98  										| (793) all_83_0_354 = 0
% 51.42/14.98  										|
% 51.42/14.98  										| Equations (793) can reduce 791 to:
% 51.42/14.98  										| (59) $false
% 51.42/14.98  										|
% 51.42/14.98  										|-The branch is then unsatisfiable
% 51.42/14.98  									|-Branch two:
% 51.42/14.98  									| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 51.42/14.98  									|
% 51.42/14.98  										| Applying alpha-rule on (60) yields:
% 51.42/14.98  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 51.42/14.98  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 51.42/14.98  										|
% 51.42/14.98  										| Instantiating formula (61) with all_0_0_0, all_0_1_1 and discharging atoms p(all_0_1_1) = all_0_0_0, yields:
% 51.42/14.98  										| (63) all_0_0_0 = 0
% 51.42/14.98  										|
% 51.42/14.98  										| From (63) and (12) follows:
% 51.42/14.98  										| (64) p(all_0_1_1) = 0
% 51.42/14.98  										|
% 51.42/14.98  										+-Applying beta-rule and splitting (740), into two cases.
% 51.42/14.98  										|-Branch one:
% 51.42/14.98  										| (749) all_57_0_340 = 0
% 51.42/14.98  										|
% 51.42/14.98  											| Equations (749) can reduce 735 to:
% 51.42/14.98  											| (59) $false
% 51.42/14.98  											|
% 51.42/14.98  											|-The branch is then unsatisfiable
% 51.42/14.98  										|-Branch two:
% 51.42/14.98  										| (735)  ~ (all_57_0_340 = 0)
% 51.42/14.98  										| (752) all_64_0_342 = 0 & q(all_64_1_343) = 0
% 51.42/14.98  										|
% 51.42/14.98  											+-Applying beta-rule and splitting (85), into two cases.
% 51.42/14.98  											|-Branch one:
% 51.42/14.98  											| (103) all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 51.42/14.98  											|
% 51.42/14.98  												| Applying alpha-rule on (103) yields:
% 51.42/14.98  												| (74) all_0_14_14 = 0
% 51.42/14.98  												| (105) p(all_0_15_15) = 0
% 51.42/14.98  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 51.42/14.98  												|
% 51.42/14.98  												| Instantiating formula (77) with all_57_0_340, all_57_1_341 and discharging atoms q(all_57_1_341) = all_57_0_340, yields:
% 51.42/14.98  												| (749) all_57_0_340 = 0
% 51.42/14.98  												|
% 51.42/14.98  												| Equations (749) can reduce 735 to:
% 51.42/14.98  												| (59) $false
% 51.42/14.98  												|
% 51.42/14.98  												|-The branch is then unsatisfiable
% 51.42/14.98  											|-Branch two:
% 51.42/14.98  											| (109)  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)
% 51.42/14.98  											|
% 51.42/14.98  												| Applying alpha-rule on (109) yields:
% 51.42/14.98  												| (67)  ~ (all_0_14_14 = 0)
% 51.42/14.98  												| (68) q(all_0_15_15) = all_0_14_14
% 51.42/14.98  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 51.42/14.98  												|
% 51.42/14.98  												| Instantiating formula (78) with all_0_1_1 and discharging atoms p(all_0_1_1) = 0, yields:
% 51.42/14.98  												| (79) $false
% 51.42/14.98  												|
% 51.42/14.98  												|-The branch is then unsatisfiable
% 51.42/14.98  							|-Branch two:
% 51.42/14.98  							| (126) ((all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))
% 51.42/14.98  							|
% 51.42/14.98  								| Applying alpha-rule on (126) yields:
% 51.42/14.98  								| (127) (all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))
% 51.42/14.98  								| (128) (s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))
% 51.42/14.98  								|
% 51.42/14.98  								+-Applying beta-rule and splitting (128), into two cases.
% 51.42/14.98  								|-Branch one:
% 51.42/14.98  								| (129) s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))
% 51.42/14.98  								|
% 51.42/14.98  									| Applying alpha-rule on (129) yields:
% 51.42/14.98  									| (130) s(all_0_13_13) = all_0_12_12
% 51.42/14.98  									| (131)  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 51.42/14.98  									| (132)  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0))
% 51.42/14.98  									| (85) (all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0))
% 51.42/14.98  									|
% 51.42/14.98  									+-Applying beta-rule and splitting (740), into two cases.
% 51.42/14.98  									|-Branch one:
% 51.42/14.98  									| (749) all_57_0_340 = 0
% 51.42/14.98  									|
% 51.42/14.98  										| Equations (749) can reduce 735 to:
% 51.42/14.98  										| (59) $false
% 51.42/14.98  										|
% 51.42/14.98  										|-The branch is then unsatisfiable
% 51.42/14.98  									|-Branch two:
% 51.42/14.98  									| (735)  ~ (all_57_0_340 = 0)
% 51.42/14.98  									| (752) all_64_0_342 = 0 & q(all_64_1_343) = 0
% 51.42/14.98  									|
% 51.42/14.98  										| Instantiating formula (220) with all_0_12_12, all_0_13_13 and discharging atoms s(all_0_13_13) = all_0_12_12, yields:
% 51.42/14.98  										| (66) all_0_12_12 = 0
% 51.42/14.98  										|
% 51.42/14.98  										| From (66) and (130) follows:
% 51.42/14.98  										| (310) s(all_0_13_13) = 0
% 51.42/14.98  										|
% 51.42/14.98  										+-Applying beta-rule and splitting (127), into two cases.
% 51.42/14.98  										|-Branch one:
% 51.42/14.98  										| (136) all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 51.42/14.98  										|
% 51.42/14.98  											| Applying alpha-rule on (136) yields:
% 51.42/14.98  											| (58) all_0_10_10 = 0
% 51.42/14.98  											| (138) s(all_0_11_11) = 0
% 51.42/14.98  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 51.42/14.98  											|
% 51.42/14.98  											| Instantiating formula (61) with all_0_0_0, all_0_1_1 and discharging atoms p(all_0_1_1) = all_0_0_0, yields:
% 51.42/14.98  											| (63) all_0_0_0 = 0
% 51.42/14.98  											|
% 51.42/14.98  											| From (63) and (12) follows:
% 51.42/14.98  											| (64) p(all_0_1_1) = 0
% 51.42/14.98  											|
% 51.42/14.98  											+-Applying beta-rule and splitting (85), into two cases.
% 51.42/14.98  											|-Branch one:
% 51.42/14.98  											| (103) all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 51.42/14.98  											|
% 51.42/14.98  												| Applying alpha-rule on (103) yields:
% 51.42/14.98  												| (74) all_0_14_14 = 0
% 51.42/14.98  												| (105) p(all_0_15_15) = 0
% 51.42/14.98  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 51.42/14.98  												|
% 51.42/14.98  												| Instantiating formula (77) with all_57_0_340, all_57_1_341 and discharging atoms q(all_57_1_341) = all_57_0_340, yields:
% 51.42/14.98  												| (749) all_57_0_340 = 0
% 51.42/14.98  												|
% 51.42/14.98  												| Equations (749) can reduce 735 to:
% 51.42/14.98  												| (59) $false
% 51.42/14.98  												|
% 51.42/14.98  												|-The branch is then unsatisfiable
% 51.42/14.98  											|-Branch two:
% 51.42/14.98  											| (109)  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)
% 51.42/14.98  											|
% 51.42/14.98  												| Applying alpha-rule on (109) yields:
% 51.42/14.98  												| (67)  ~ (all_0_14_14 = 0)
% 51.42/14.98  												| (68) q(all_0_15_15) = all_0_14_14
% 51.42/14.98  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 51.42/14.98  												|
% 51.42/14.98  												| Instantiating formula (78) with all_0_1_1 and discharging atoms p(all_0_1_1) = 0, yields:
% 51.42/14.98  												| (79) $false
% 51.42/14.98  												|
% 51.42/14.98  												|-The branch is then unsatisfiable
% 51.42/14.98  										|-Branch two:
% 51.42/14.98  										| (142)  ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0)
% 51.42/14.98  										|
% 51.42/14.98  											| Applying alpha-rule on (142) yields:
% 51.42/14.98  											| (52)  ~ (all_0_10_10 = 0)
% 51.42/14.98  											| (144) p(all_0_11_11) = all_0_10_10
% 51.42/14.98  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 51.42/14.98  											|
% 51.42/14.98  											| Instantiating formula (62) with all_0_13_13 and discharging atoms s(all_0_13_13) = 0, yields:
% 51.42/14.98  											| (79) $false
% 51.42/14.98  											|
% 51.42/14.98  											|-The branch is then unsatisfiable
% 51.42/14.98  								|-Branch two:
% 51.42/14.98  								| (170)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 51.42/14.98  								|
% 51.42/14.98  									| Applying alpha-rule on (170) yields:
% 51.42/14.98  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 51.42/14.98  									| (50) (all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 51.42/14.98  									|
% 51.42/14.98  									+-Applying beta-rule and splitting (127), into two cases.
% 51.42/14.98  									|-Branch one:
% 51.42/14.98  									| (136) all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 51.42/14.98  									|
% 51.42/14.98  										| Applying alpha-rule on (136) yields:
% 51.42/14.98  										| (58) all_0_10_10 = 0
% 51.42/14.98  										| (138) s(all_0_11_11) = 0
% 51.42/14.98  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 51.42/14.98  										|
% 51.42/14.98  										| Instantiating formula (84) with 0, all_0_11_11 and discharging atoms s(all_0_11_11) = 0, yields:
% 51.42/14.98  										| (278)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & s(v0) = v1)
% 51.42/14.98  										|
% 51.42/14.98  										| Instantiating (278) with all_85_0_370, all_85_1_371 yields:
% 51.42/14.98  										| (859)  ~ (all_85_0_370 = 0) & s(all_85_1_371) = all_85_0_370
% 51.42/14.98  										|
% 51.42/14.98  										| Applying alpha-rule on (859) yields:
% 51.42/14.98  										| (860)  ~ (all_85_0_370 = 0)
% 51.42/14.98  										| (861) s(all_85_1_371) = all_85_0_370
% 51.42/14.98  										|
% 51.42/14.98  										| Instantiating formula (220) with all_85_0_370, all_85_1_371 and discharging atoms s(all_85_1_371) = all_85_0_370, yields:
% 51.42/14.98  										| (862) all_85_0_370 = 0
% 51.42/14.98  										|
% 51.42/14.98  										| Equations (862) can reduce 860 to:
% 51.42/14.98  										| (59) $false
% 51.42/14.98  										|
% 51.42/14.98  										|-The branch is then unsatisfiable
% 51.42/14.98  									|-Branch two:
% 51.42/14.98  									| (142)  ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0)
% 51.42/14.98  									|
% 51.42/14.98  										| Applying alpha-rule on (142) yields:
% 51.42/14.98  										| (52)  ~ (all_0_10_10 = 0)
% 51.42/14.98  										| (144) p(all_0_11_11) = all_0_10_10
% 51.42/14.98  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 51.42/14.98  										|
% 51.42/14.98  										+-Applying beta-rule and splitting (740), into two cases.
% 51.42/14.98  										|-Branch one:
% 51.42/14.98  										| (749) all_57_0_340 = 0
% 51.42/14.98  										|
% 51.42/14.98  											| Equations (749) can reduce 735 to:
% 51.42/14.98  											| (59) $false
% 51.42/14.98  											|
% 51.42/14.98  											|-The branch is then unsatisfiable
% 51.42/14.98  										|-Branch two:
% 51.42/14.98  										| (735)  ~ (all_57_0_340 = 0)
% 51.42/14.98  										| (752) all_64_0_342 = 0 & q(all_64_1_343) = 0
% 51.42/14.98  										|
% 51.42/14.98  											| Instantiating formula (13) with all_0_10_10, all_0_11_11 and discharging atoms p(all_0_11_11) = all_0_10_10, yields:
% 51.42/14.98  											| (146)  ~ (all_0_0_0 = 0) | all_0_10_10 = 0
% 51.42/14.98  											|
% 51.42/14.98  											+-Applying beta-rule and splitting (146), into two cases.
% 51.42/14.98  											|-Branch one:
% 51.42/14.98  											| (102)  ~ (all_0_0_0 = 0)
% 51.42/14.98  											|
% 51.42/14.98  												+-Applying beta-rule and splitting (50), into two cases.
% 51.42/14.98  												|-Branch one:
% 51.42/14.98  												| (65) all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0
% 51.42/14.98  												|
% 51.42/14.98  													| Applying alpha-rule on (65) yields:
% 51.42/14.98  													| (66) all_0_12_12 = 0
% 51.42/14.98  													| (67)  ~ (all_0_14_14 = 0)
% 51.42/14.98  													| (68) q(all_0_15_15) = all_0_14_14
% 51.42/14.99  													| (69) p(all_0_13_13) = 0
% 51.42/14.99  													|
% 51.42/14.99  													| Instantiating formula (14) with all_0_13_13 and discharging atoms p(all_0_13_13) = 0, yields:
% 51.42/14.99  													| (63) all_0_0_0 = 0
% 51.42/14.99  													|
% 51.42/14.99  													| Equations (63) can reduce 102 to:
% 51.42/14.99  													| (59) $false
% 51.42/14.99  													|
% 51.42/14.99  													|-The branch is then unsatisfiable
% 51.42/14.99  												|-Branch two:
% 51.42/14.99  												| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 51.42/14.99  												|
% 51.42/14.99  													| Applying alpha-rule on (76) yields:
% 51.42/14.99  													| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 51.42/14.99  													| (78)  ! [v0] :  ~ (p(v0) = 0)
% 51.42/14.99  													|
% 51.42/14.99  													| Instantiating formula (77) with all_57_0_340, all_57_1_341 and discharging atoms q(all_57_1_341) = all_57_0_340, yields:
% 51.42/14.99  													| (749) all_57_0_340 = 0
% 51.42/14.99  													|
% 51.42/14.99  													| Equations (749) can reduce 735 to:
% 51.42/14.99  													| (59) $false
% 51.42/14.99  													|
% 51.42/14.99  													|-The branch is then unsatisfiable
% 51.42/14.99  											|-Branch two:
% 51.42/14.99  											| (63) all_0_0_0 = 0
% 51.42/14.99  											| (58) all_0_10_10 = 0
% 51.42/14.99  											|
% 51.42/14.99  												| Equations (58) can reduce 52 to:
% 51.42/14.99  												| (59) $false
% 51.42/14.99  												|
% 51.42/14.99  												|-The branch is then unsatisfiable
% 51.42/14.99  						|-Branch two:
% 51.42/14.99  						| (209)  ~ (all_0_2_2 = 0) & r(all_0_3_3) = all_0_2_2 &  ! [v0] :  ~ (q(v0) = 0)
% 51.42/14.99  						|
% 51.42/14.99  							| Applying alpha-rule on (209) yields:
% 51.42/14.99  							| (210)  ~ (all_0_2_2 = 0)
% 51.42/14.99  							| (211) r(all_0_3_3) = all_0_2_2
% 51.42/14.99  							| (212)  ! [v0] :  ~ (q(v0) = 0)
% 51.42/14.99  							|
% 51.42/14.99  							| Instantiating formula (29) with all_0_2_2, all_0_3_3 and discharging atoms r(all_0_3_3) = all_0_2_2, yields:
% 51.42/14.99  							| (213)  ~ (all_0_4_4 = 0) | all_0_2_2 = 0
% 51.42/14.99  							|
% 51.42/14.99  							+-Applying beta-rule and splitting (213), into two cases.
% 51.42/14.99  							|-Branch one:
% 51.42/14.99  							| (214)  ~ (all_0_4_4 = 0)
% 51.42/14.99  							|
% 51.42/14.99  								| Equations (37) can reduce 214 to:
% 51.42/14.99  								| (59) $false
% 51.42/14.99  								|
% 51.42/14.99  								|-The branch is then unsatisfiable
% 51.42/14.99  							|-Branch two:
% 51.42/14.99  							| (37) all_0_4_4 = 0
% 51.42/14.99  							| (39) all_0_2_2 = 0
% 51.42/14.99  							|
% 51.42/14.99  								| Equations (39) can reduce 210 to:
% 51.42/14.99  								| (59) $false
% 51.42/14.99  								|
% 51.42/14.99  								|-The branch is then unsatisfiable
% 51.42/14.99  					|-Branch two:
% 51.42/14.99  					| (899)  ~ (all_0_20_20 = 0) & s(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (r(v0) = 0)
% 51.42/14.99  					|
% 51.42/14.99  						| Applying alpha-rule on (899) yields:
% 51.42/14.99  						| (34)  ~ (all_0_20_20 = 0)
% 51.42/14.99  						| (35) s(all_0_21_21) = all_0_20_20
% 51.42/14.99  						| (221)  ! [v0] :  ~ (r(v0) = 0)
% 51.42/14.99  						|
% 51.42/14.99  						+-Applying beta-rule and splitting (17), into two cases.
% 51.42/14.99  						|-Branch one:
% 51.42/14.99  						| (38) all_0_2_2 = 0 & q(all_0_3_3) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 51.42/14.99  						|
% 51.42/14.99  							| Applying alpha-rule on (38) yields:
% 51.42/14.99  							| (39) all_0_2_2 = 0
% 51.42/14.99  							| (40) q(all_0_3_3) = 0
% 51.42/14.99  							| (41)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 51.42/14.99  							|
% 51.42/14.99  							| Instantiating formula (41) with all_0_4_4, all_0_5_5 and discharging atoms r(all_0_5_5) = all_0_4_4, yields:
% 51.42/14.99  							| (37) all_0_4_4 = 0
% 51.42/14.99  							|
% 51.42/14.99  							| From (37) and (28) follows:
% 51.42/14.99  							| (227) r(all_0_5_5) = 0
% 51.42/14.99  							|
% 51.42/14.99  							| Instantiating formula (221) with all_0_5_5 and discharging atoms r(all_0_5_5) = 0, yields:
% 51.42/14.99  							| (79) $false
% 51.42/14.99  							|
% 51.42/14.99  							|-The branch is then unsatisfiable
% 51.42/14.99  						|-Branch two:
% 51.42/14.99  						| (209)  ~ (all_0_2_2 = 0) & r(all_0_3_3) = all_0_2_2 &  ! [v0] :  ~ (q(v0) = 0)
% 51.42/14.99  						|
% 51.42/14.99  							| Applying alpha-rule on (209) yields:
% 51.42/14.99  							| (210)  ~ (all_0_2_2 = 0)
% 51.42/14.99  							| (211) r(all_0_3_3) = all_0_2_2
% 51.42/14.99  							| (212)  ! [v0] :  ~ (q(v0) = 0)
% 51.42/14.99  							|
% 51.42/14.99  							+-Applying beta-rule and splitting (31), into two cases.
% 51.42/14.99  							|-Branch one:
% 51.42/14.99  							| (43) ((all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_7_7) = 0 & p(all_0_9_9) = all_0_8_8) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))))
% 51.42/14.99  							|
% 51.42/14.99  								| Applying alpha-rule on (43) yields:
% 51.42/14.99  								| (44) (all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_7_7) = 0 & p(all_0_9_9) = all_0_8_8) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))
% 51.42/14.99  								| (45) (s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0))))
% 51.42/14.99  								|
% 51.42/14.99  								+-Applying beta-rule and splitting (45), into two cases.
% 51.42/14.99  								|-Branch one:
% 51.42/14.99  								| (46) s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 51.42/14.99  								|
% 51.42/14.99  									| Applying alpha-rule on (46) yields:
% 51.42/14.99  									| (47) s(all_0_11_11) = all_0_10_10
% 51.42/14.99  									| (48)  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 51.42/14.99  									| (49)  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0))
% 51.42/14.99  									| (50) (all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 51.42/14.99  									|
% 51.42/14.99  									| Instantiating formula (48) with all_0_20_20, all_0_21_21 and discharging atoms s(all_0_21_21) = all_0_20_20, yields:
% 51.42/14.99  									| (51)  ~ (all_0_10_10 = 0) | all_0_20_20 = 0
% 51.42/14.99  									|
% 51.42/14.99  									+-Applying beta-rule and splitting (51), into two cases.
% 51.42/14.99  									|-Branch one:
% 51.42/14.99  									| (52)  ~ (all_0_10_10 = 0)
% 51.42/14.99  									|
% 51.42/14.99  										+-Applying beta-rule and splitting (44), into two cases.
% 51.42/14.99  										|-Branch one:
% 51.42/14.99  										| (53) all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_7_7) = 0 & p(all_0_9_9) = all_0_8_8
% 51.42/14.99  										|
% 51.42/14.99  											| Applying alpha-rule on (53) yields:
% 51.42/14.99  											| (54) all_0_6_6 = 0
% 51.42/14.99  											| (55)  ~ (all_0_8_8 = 0)
% 51.42/14.99  											| (56) s(all_0_7_7) = 0
% 51.42/14.99  											| (57) p(all_0_9_9) = all_0_8_8
% 51.42/14.99  											|
% 51.42/14.99  											| Instantiating formula (49) with all_0_7_7 and discharging atoms s(all_0_7_7) = 0, yields:
% 51.42/14.99  											| (58) all_0_10_10 = 0
% 51.42/14.99  											|
% 51.42/14.99  											| Equations (58) can reduce 52 to:
% 51.42/14.99  											| (59) $false
% 51.42/14.99  											|
% 51.42/14.99  											|-The branch is then unsatisfiable
% 51.42/14.99  										|-Branch two:
% 51.42/14.99  										| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 51.42/14.99  										|
% 51.42/14.99  											| Applying alpha-rule on (60) yields:
% 51.42/14.99  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 51.42/14.99  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 51.42/14.99  											|
% 51.42/14.99  											| Instantiating formula (61) with all_0_0_0, all_0_1_1 and discharging atoms p(all_0_1_1) = all_0_0_0, yields:
% 51.42/14.99  											| (63) all_0_0_0 = 0
% 51.42/14.99  											|
% 51.42/14.99  											| From (63) and (12) follows:
% 51.42/14.99  											| (64) p(all_0_1_1) = 0
% 51.42/14.99  											|
% 51.42/14.99  											+-Applying beta-rule and splitting (50), into two cases.
% 51.42/14.99  											|-Branch one:
% 51.42/14.99  											| (65) all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0
% 51.42/14.99  											|
% 51.42/14.99  												| Applying alpha-rule on (65) yields:
% 51.42/14.99  												| (66) all_0_12_12 = 0
% 51.42/14.99  												| (67)  ~ (all_0_14_14 = 0)
% 51.42/14.99  												| (68) q(all_0_15_15) = all_0_14_14
% 51.42/14.99  												| (69) p(all_0_13_13) = 0
% 51.42/14.99  												|
% 51.42/14.99  												| Instantiating formula (717) with all_0_14_14, all_0_15_15 and discharging atoms q(all_0_15_15) = all_0_14_14, yields:
% 51.42/14.99  												| (941)  ? [v0] :  ? [v1] : (( ~ (all_0_14_14 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_0_14_14 = 0 | (v1 = 0 & q(v0) = 0)))
% 51.42/14.99  												|
% 51.42/14.99  												| Instantiating (941) with all_85_0_376, all_85_1_377 yields:
% 51.42/14.99  												| (942) ( ~ (all_0_14_14 = 0) | ( ~ (all_85_0_376 = 0) & q(all_85_1_377) = all_85_0_376)) & (all_0_14_14 = 0 | (all_85_0_376 = 0 & q(all_85_1_377) = 0))
% 51.42/14.99  												|
% 51.42/14.99  												| Applying alpha-rule on (942) yields:
% 51.42/14.99  												| (943)  ~ (all_0_14_14 = 0) | ( ~ (all_85_0_376 = 0) & q(all_85_1_377) = all_85_0_376)
% 51.42/14.99  												| (944) all_0_14_14 = 0 | (all_85_0_376 = 0 & q(all_85_1_377) = 0)
% 51.42/14.99  												|
% 51.42/14.99  												+-Applying beta-rule and splitting (944), into two cases.
% 51.42/14.99  												|-Branch one:
% 51.42/14.99  												| (74) all_0_14_14 = 0
% 51.42/14.99  												|
% 51.42/14.99  													| Equations (74) can reduce 67 to:
% 51.42/14.99  													| (59) $false
% 51.42/14.99  													|
% 51.42/14.99  													|-The branch is then unsatisfiable
% 51.42/14.99  												|-Branch two:
% 51.42/14.99  												| (67)  ~ (all_0_14_14 = 0)
% 51.42/14.99  												| (948) all_85_0_376 = 0 & q(all_85_1_377) = 0
% 51.42/14.99  												|
% 51.42/14.99  													| Applying alpha-rule on (948) yields:
% 51.42/14.99  													| (949) all_85_0_376 = 0
% 51.42/14.99  													| (950) q(all_85_1_377) = 0
% 51.42/14.99  													|
% 51.42/14.99  													| Instantiating formula (212) with all_85_1_377 and discharging atoms q(all_85_1_377) = 0, yields:
% 51.42/14.99  													| (79) $false
% 51.42/14.99  													|
% 51.42/14.99  													|-The branch is then unsatisfiable
% 51.42/14.99  											|-Branch two:
% 51.42/14.99  											| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 51.42/14.99  											|
% 51.42/14.99  												| Applying alpha-rule on (76) yields:
% 51.42/14.99  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 51.42/14.99  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 51.42/14.99  												|
% 51.42/14.99  												| Instantiating formula (78) with all_0_1_1 and discharging atoms p(all_0_1_1) = 0, yields:
% 51.42/14.99  												| (79) $false
% 51.42/14.99  												|
% 51.42/14.99  												|-The branch is then unsatisfiable
% 51.42/14.99  									|-Branch two:
% 51.42/14.99  									| (58) all_0_10_10 = 0
% 51.42/14.99  									| (81) all_0_20_20 = 0
% 51.42/14.99  									|
% 51.42/14.99  										| Equations (81) can reduce 34 to:
% 51.42/14.99  										| (59) $false
% 51.42/14.99  										|
% 51.42/14.99  										|-The branch is then unsatisfiable
% 51.42/14.99  								|-Branch two:
% 51.42/14.99  								| (83)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))
% 51.42/15.00  								|
% 51.42/15.00  									| Applying alpha-rule on (83) yields:
% 51.42/15.00  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 51.42/15.00  									| (85) (all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0))
% 51.42/15.00  									|
% 51.42/15.00  									| Instantiating formula (84) with all_0_20_20, all_0_21_21 and discharging atoms s(all_0_21_21) = all_0_20_20, yields:
% 51.42/15.00  									| (86)  ? [v0] :  ? [v1] : (( ~ (all_0_20_20 = 0) | ( ~ (v1 = 0) & s(v0) = v1)) & (all_0_20_20 = 0 | (v1 = 0 & s(v0) = 0)))
% 51.42/15.00  									|
% 51.42/15.00  									| Instantiating (86) with all_56_0_378, all_56_1_379 yields:
% 51.42/15.00  									| (963) ( ~ (all_0_20_20 = 0) | ( ~ (all_56_0_378 = 0) & s(all_56_1_379) = all_56_0_378)) & (all_0_20_20 = 0 | (all_56_0_378 = 0 & s(all_56_1_379) = 0))
% 51.42/15.00  									|
% 51.42/15.00  									| Applying alpha-rule on (963) yields:
% 51.42/15.00  									| (964)  ~ (all_0_20_20 = 0) | ( ~ (all_56_0_378 = 0) & s(all_56_1_379) = all_56_0_378)
% 51.42/15.00  									| (965) all_0_20_20 = 0 | (all_56_0_378 = 0 & s(all_56_1_379) = 0)
% 51.42/15.00  									|
% 51.42/15.00  									+-Applying beta-rule and splitting (965), into two cases.
% 51.42/15.00  									|-Branch one:
% 51.42/15.00  									| (81) all_0_20_20 = 0
% 51.42/15.00  									|
% 51.42/15.00  										| Equations (81) can reduce 34 to:
% 51.42/15.00  										| (59) $false
% 51.42/15.00  										|
% 51.42/15.00  										|-The branch is then unsatisfiable
% 51.42/15.00  									|-Branch two:
% 51.42/15.00  									| (34)  ~ (all_0_20_20 = 0)
% 51.42/15.00  									| (969) all_56_0_378 = 0 & s(all_56_1_379) = 0
% 51.42/15.00  									|
% 51.42/15.00  										| Applying alpha-rule on (969) yields:
% 51.42/15.00  										| (970) all_56_0_378 = 0
% 51.42/15.00  										| (971) s(all_56_1_379) = 0
% 51.42/15.00  										|
% 51.42/15.00  										+-Applying beta-rule and splitting (44), into two cases.
% 51.42/15.00  										|-Branch one:
% 51.42/15.00  										| (53) all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_7_7) = 0 & p(all_0_9_9) = all_0_8_8
% 51.42/15.00  										|
% 51.42/15.00  											| Applying alpha-rule on (53) yields:
% 51.42/15.00  											| (54) all_0_6_6 = 0
% 51.42/15.00  											| (55)  ~ (all_0_8_8 = 0)
% 51.42/15.00  											| (56) s(all_0_7_7) = 0
% 51.42/15.00  											| (57) p(all_0_9_9) = all_0_8_8
% 51.42/15.00  											|
% 51.42/15.00  											| Instantiating formula (13) with all_0_8_8, all_0_9_9 and discharging atoms p(all_0_9_9) = all_0_8_8, yields:
% 51.42/15.00  											| (101)  ~ (all_0_0_0 = 0) | all_0_8_8 = 0
% 51.42/15.00  											|
% 51.42/15.00  											+-Applying beta-rule and splitting (101), into two cases.
% 51.42/15.00  											|-Branch one:
% 51.42/15.00  											| (102)  ~ (all_0_0_0 = 0)
% 51.42/15.00  											|
% 51.42/15.00  												+-Applying beta-rule and splitting (85), into two cases.
% 51.42/15.00  												|-Branch one:
% 51.42/15.00  												| (103) all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 51.42/15.00  												|
% 51.42/15.00  													| Applying alpha-rule on (103) yields:
% 51.42/15.00  													| (74) all_0_14_14 = 0
% 51.42/15.00  													| (105) p(all_0_15_15) = 0
% 51.42/15.00  													| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 51.42/15.00  													|
% 51.42/15.00  													| Instantiating formula (14) with all_0_15_15 and discharging atoms p(all_0_15_15) = 0, yields:
% 51.42/15.00  													| (63) all_0_0_0 = 0
% 51.42/15.00  													|
% 51.42/15.00  													| Equations (63) can reduce 102 to:
% 51.42/15.00  													| (59) $false
% 51.42/15.00  													|
% 51.42/15.00  													|-The branch is then unsatisfiable
% 51.42/15.00  												|-Branch two:
% 51.42/15.00  												| (109)  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)
% 51.42/15.00  												|
% 51.42/15.00  													| Applying alpha-rule on (109) yields:
% 51.42/15.00  													| (67)  ~ (all_0_14_14 = 0)
% 51.42/15.00  													| (68) q(all_0_15_15) = all_0_14_14
% 51.42/15.00  													| (78)  ! [v0] :  ~ (p(v0) = 0)
% 51.42/15.00  													|
% 51.42/15.00  													| Instantiating formula (717) with all_0_14_14, all_0_15_15 and discharging atoms q(all_0_15_15) = all_0_14_14, yields:
% 51.42/15.00  													| (941)  ? [v0] :  ? [v1] : (( ~ (all_0_14_14 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_0_14_14 = 0 | (v1 = 0 & q(v0) = 0)))
% 51.42/15.00  													|
% 51.42/15.00  													| Instantiating (941) with all_112_0_388, all_112_1_389 yields:
% 51.42/15.00  													| (990) ( ~ (all_0_14_14 = 0) | ( ~ (all_112_0_388 = 0) & q(all_112_1_389) = all_112_0_388)) & (all_0_14_14 = 0 | (all_112_0_388 = 0 & q(all_112_1_389) = 0))
% 51.42/15.00  													|
% 51.42/15.00  													| Applying alpha-rule on (990) yields:
% 51.42/15.00  													| (991)  ~ (all_0_14_14 = 0) | ( ~ (all_112_0_388 = 0) & q(all_112_1_389) = all_112_0_388)
% 51.42/15.00  													| (992) all_0_14_14 = 0 | (all_112_0_388 = 0 & q(all_112_1_389) = 0)
% 51.42/15.00  													|
% 51.42/15.00  													+-Applying beta-rule and splitting (992), into two cases.
% 51.42/15.00  													|-Branch one:
% 51.42/15.00  													| (74) all_0_14_14 = 0
% 51.42/15.00  													|
% 51.42/15.00  														| Equations (74) can reduce 67 to:
% 51.42/15.00  														| (59) $false
% 51.42/15.00  														|
% 51.42/15.00  														|-The branch is then unsatisfiable
% 51.42/15.00  													|-Branch two:
% 51.42/15.00  													| (67)  ~ (all_0_14_14 = 0)
% 51.42/15.00  													| (996) all_112_0_388 = 0 & q(all_112_1_389) = 0
% 51.42/15.00  													|
% 51.42/15.00  														| Applying alpha-rule on (996) yields:
% 51.42/15.00  														| (997) all_112_0_388 = 0
% 51.42/15.00  														| (998) q(all_112_1_389) = 0
% 51.42/15.00  														|
% 51.42/15.00  														| Instantiating formula (212) with all_112_1_389 and discharging atoms q(all_112_1_389) = 0, yields:
% 51.42/15.00  														| (79) $false
% 51.42/15.00  														|
% 51.42/15.00  														|-The branch is then unsatisfiable
% 51.42/15.00  											|-Branch two:
% 51.42/15.00  											| (63) all_0_0_0 = 0
% 51.42/15.00  											| (120) all_0_8_8 = 0
% 51.42/15.00  											|
% 51.42/15.00  												| Equations (120) can reduce 55 to:
% 51.42/15.00  												| (59) $false
% 51.42/15.00  												|
% 51.42/15.00  												|-The branch is then unsatisfiable
% 51.42/15.00  										|-Branch two:
% 51.42/15.00  										| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 51.42/15.00  										|
% 51.42/15.00  											| Applying alpha-rule on (60) yields:
% 51.42/15.00  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 51.42/15.00  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 51.42/15.00  											|
% 51.42/15.00  											| Instantiating formula (62) with all_56_1_379 and discharging atoms s(all_56_1_379) = 0, yields:
% 51.42/15.00  											| (79) $false
% 51.42/15.00  											|
% 51.42/15.00  											|-The branch is then unsatisfiable
% 51.42/15.00  							|-Branch two:
% 51.42/15.00  							| (126) ((all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))
% 51.42/15.00  							|
% 51.42/15.00  								| Applying alpha-rule on (126) yields:
% 51.42/15.00  								| (127) (all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))
% 51.42/15.00  								| (128) (s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))
% 51.85/15.00  								|
% 51.85/15.00  								+-Applying beta-rule and splitting (128), into two cases.
% 51.85/15.00  								|-Branch one:
% 51.85/15.00  								| (129) s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))
% 51.85/15.00  								|
% 51.85/15.00  									| Applying alpha-rule on (129) yields:
% 51.85/15.00  									| (130) s(all_0_13_13) = all_0_12_12
% 51.85/15.00  									| (131)  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 51.85/15.00  									| (132)  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0))
% 51.85/15.00  									| (85) (all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0))
% 51.85/15.00  									|
% 51.85/15.00  									| Instantiating formula (131) with all_0_20_20, all_0_21_21 and discharging atoms s(all_0_21_21) = all_0_20_20, yields:
% 51.85/15.00  									| (134)  ~ (all_0_12_12 = 0) | all_0_20_20 = 0
% 51.85/15.00  									|
% 51.85/15.00  									+-Applying beta-rule and splitting (134), into two cases.
% 51.85/15.00  									|-Branch one:
% 51.85/15.00  									| (135)  ~ (all_0_12_12 = 0)
% 51.85/15.00  									|
% 51.85/15.00  										+-Applying beta-rule and splitting (127), into two cases.
% 51.85/15.00  										|-Branch one:
% 51.85/15.00  										| (136) all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 51.85/15.01  										|
% 51.85/15.01  											| Applying alpha-rule on (136) yields:
% 51.85/15.01  											| (58) all_0_10_10 = 0
% 51.85/15.01  											| (138) s(all_0_11_11) = 0
% 51.85/15.01  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 51.85/15.01  											|
% 51.85/15.01  											| Instantiating formula (132) with all_0_11_11 and discharging atoms s(all_0_11_11) = 0, yields:
% 51.85/15.01  											| (66) all_0_12_12 = 0
% 51.85/15.01  											|
% 51.85/15.01  											| Equations (66) can reduce 135 to:
% 51.85/15.01  											| (59) $false
% 51.85/15.01  											|
% 51.85/15.01  											|-The branch is then unsatisfiable
% 51.85/15.01  										|-Branch two:
% 51.85/15.01  										| (142)  ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0)
% 51.85/15.01  										|
% 51.85/15.01  											| Applying alpha-rule on (142) yields:
% 51.85/15.01  											| (52)  ~ (all_0_10_10 = 0)
% 51.85/15.01  											| (144) p(all_0_11_11) = all_0_10_10
% 51.85/15.01  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 51.85/15.01  											|
% 51.85/15.01  											| Instantiating formula (13) with all_0_10_10, all_0_11_11 and discharging atoms p(all_0_11_11) = all_0_10_10, yields:
% 51.85/15.01  											| (146)  ~ (all_0_0_0 = 0) | all_0_10_10 = 0
% 51.85/15.01  											|
% 51.85/15.01  											+-Applying beta-rule and splitting (85), into two cases.
% 51.85/15.01  											|-Branch one:
% 51.85/15.01  											| (103) all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 51.85/15.01  											|
% 51.85/15.01  												| Applying alpha-rule on (103) yields:
% 51.85/15.01  												| (74) all_0_14_14 = 0
% 51.85/15.01  												| (105) p(all_0_15_15) = 0
% 51.85/15.01  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 51.85/15.01  												|
% 51.85/15.01  												+-Applying beta-rule and splitting (146), into two cases.
% 51.85/15.01  												|-Branch one:
% 51.85/15.01  												| (102)  ~ (all_0_0_0 = 0)
% 51.85/15.01  												|
% 51.85/15.01  													| Instantiating formula (14) with all_0_15_15 and discharging atoms p(all_0_15_15) = 0, yields:
% 51.85/15.01  													| (63) all_0_0_0 = 0
% 51.85/15.01  													|
% 51.85/15.01  													| Equations (63) can reduce 102 to:
% 51.85/15.01  													| (59) $false
% 51.85/15.01  													|
% 51.85/15.01  													|-The branch is then unsatisfiable
% 51.85/15.01  												|-Branch two:
% 51.85/15.01  												| (63) all_0_0_0 = 0
% 51.85/15.01  												| (58) all_0_10_10 = 0
% 51.85/15.01  												|
% 51.85/15.01  													| Equations (58) can reduce 52 to:
% 51.85/15.01  													| (59) $false
% 51.85/15.01  													|
% 51.85/15.01  													|-The branch is then unsatisfiable
% 51.85/15.01  											|-Branch two:
% 51.85/15.01  											| (109)  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)
% 51.85/15.01  											|
% 51.85/15.01  												| Applying alpha-rule on (109) yields:
% 51.85/15.01  												| (67)  ~ (all_0_14_14 = 0)
% 51.85/15.01  												| (68) q(all_0_15_15) = all_0_14_14
% 51.85/15.01  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 51.85/15.01  												|
% 51.85/15.01  												| Instantiating formula (717) with all_0_14_14, all_0_15_15 and discharging atoms q(all_0_15_15) = all_0_14_14, yields:
% 51.85/15.01  												| (941)  ? [v0] :  ? [v1] : (( ~ (all_0_14_14 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_0_14_14 = 0 | (v1 = 0 & q(v0) = 0)))
% 51.85/15.01  												|
% 51.85/15.01  												| Instantiating (941) with all_90_0_392, all_90_1_393 yields:
% 51.85/15.01  												| (1043) ( ~ (all_0_14_14 = 0) | ( ~ (all_90_0_392 = 0) & q(all_90_1_393) = all_90_0_392)) & (all_0_14_14 = 0 | (all_90_0_392 = 0 & q(all_90_1_393) = 0))
% 51.85/15.01  												|
% 51.85/15.01  												| Applying alpha-rule on (1043) yields:
% 51.85/15.01  												| (1044)  ~ (all_0_14_14 = 0) | ( ~ (all_90_0_392 = 0) & q(all_90_1_393) = all_90_0_392)
% 51.85/15.01  												| (1045) all_0_14_14 = 0 | (all_90_0_392 = 0 & q(all_90_1_393) = 0)
% 51.85/15.01  												|
% 51.85/15.01  												+-Applying beta-rule and splitting (1045), into two cases.
% 51.85/15.01  												|-Branch one:
% 51.85/15.01  												| (74) all_0_14_14 = 0
% 51.85/15.01  												|
% 51.85/15.01  													| Equations (74) can reduce 67 to:
% 51.85/15.01  													| (59) $false
% 51.85/15.01  													|
% 51.85/15.01  													|-The branch is then unsatisfiable
% 51.85/15.01  												|-Branch two:
% 51.85/15.01  												| (67)  ~ (all_0_14_14 = 0)
% 51.85/15.01  												| (1049) all_90_0_392 = 0 & q(all_90_1_393) = 0
% 51.85/15.01  												|
% 51.85/15.01  													| Applying alpha-rule on (1049) yields:
% 51.85/15.01  													| (1050) all_90_0_392 = 0
% 51.85/15.01  													| (1051) q(all_90_1_393) = 0
% 51.85/15.01  													|
% 51.85/15.01  													| Instantiating formula (212) with all_90_1_393 and discharging atoms q(all_90_1_393) = 0, yields:
% 51.85/15.01  													| (79) $false
% 51.85/15.01  													|
% 51.85/15.01  													|-The branch is then unsatisfiable
% 51.85/15.01  									|-Branch two:
% 51.85/15.01  									| (66) all_0_12_12 = 0
% 51.85/15.01  									| (81) all_0_20_20 = 0
% 51.85/15.01  									|
% 51.85/15.01  										| Equations (81) can reduce 34 to:
% 51.85/15.01  										| (59) $false
% 51.85/15.01  										|
% 51.85/15.01  										|-The branch is then unsatisfiable
% 51.85/15.01  								|-Branch two:
% 51.85/15.01  								| (170)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 51.85/15.01  								|
% 51.85/15.01  									| Applying alpha-rule on (170) yields:
% 51.85/15.01  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 51.85/15.01  									| (50) (all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 51.85/15.01  									|
% 51.85/15.01  									| Instantiating formula (84) with all_0_20_20, all_0_21_21 and discharging atoms s(all_0_21_21) = all_0_20_20, yields:
% 51.85/15.01  									| (86)  ? [v0] :  ? [v1] : (( ~ (all_0_20_20 = 0) | ( ~ (v1 = 0) & s(v0) = v1)) & (all_0_20_20 = 0 | (v1 = 0 & s(v0) = 0)))
% 51.85/15.01  									|
% 51.85/15.01  									| Instantiating (86) with all_56_0_394, all_56_1_395 yields:
% 51.85/15.01  									| (1060) ( ~ (all_0_20_20 = 0) | ( ~ (all_56_0_394 = 0) & s(all_56_1_395) = all_56_0_394)) & (all_0_20_20 = 0 | (all_56_0_394 = 0 & s(all_56_1_395) = 0))
% 51.85/15.01  									|
% 51.85/15.01  									| Applying alpha-rule on (1060) yields:
% 51.85/15.01  									| (1061)  ~ (all_0_20_20 = 0) | ( ~ (all_56_0_394 = 0) & s(all_56_1_395) = all_56_0_394)
% 51.85/15.01  									| (1062) all_0_20_20 = 0 | (all_56_0_394 = 0 & s(all_56_1_395) = 0)
% 51.85/15.01  									|
% 51.85/15.01  									+-Applying beta-rule and splitting (1062), into two cases.
% 51.85/15.01  									|-Branch one:
% 51.85/15.01  									| (81) all_0_20_20 = 0
% 51.85/15.01  									|
% 51.85/15.01  										| Equations (81) can reduce 34 to:
% 51.85/15.01  										| (59) $false
% 51.85/15.01  										|
% 51.85/15.01  										|-The branch is then unsatisfiable
% 51.85/15.01  									|-Branch two:
% 51.85/15.01  									| (34)  ~ (all_0_20_20 = 0)
% 51.85/15.01  									| (1066) all_56_0_394 = 0 & s(all_56_1_395) = 0
% 51.85/15.01  									|
% 51.85/15.01  										| Applying alpha-rule on (1066) yields:
% 51.85/15.01  										| (1067) all_56_0_394 = 0
% 51.85/15.01  										| (1068) s(all_56_1_395) = 0
% 51.85/15.01  										|
% 51.85/15.01  										+-Applying beta-rule and splitting (127), into two cases.
% 51.85/15.01  										|-Branch one:
% 51.85/15.01  										| (136) all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 51.85/15.01  										|
% 51.85/15.01  											| Applying alpha-rule on (136) yields:
% 51.85/15.01  											| (58) all_0_10_10 = 0
% 51.85/15.01  											| (138) s(all_0_11_11) = 0
% 51.85/15.01  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 51.85/15.01  											|
% 51.85/15.01  											| Instantiating formula (61) with all_0_0_0, all_0_1_1 and discharging atoms p(all_0_1_1) = all_0_0_0, yields:
% 51.85/15.01  											| (63) all_0_0_0 = 0
% 51.85/15.01  											|
% 51.85/15.01  											| From (63) and (12) follows:
% 51.85/15.01  											| (64) p(all_0_1_1) = 0
% 51.85/15.01  											|
% 51.85/15.01  											+-Applying beta-rule and splitting (50), into two cases.
% 51.85/15.01  											|-Branch one:
% 51.85/15.01  											| (65) all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0
% 51.85/15.01  											|
% 51.85/15.01  												| Applying alpha-rule on (65) yields:
% 51.85/15.01  												| (66) all_0_12_12 = 0
% 51.85/15.01  												| (67)  ~ (all_0_14_14 = 0)
% 51.85/15.01  												| (68) q(all_0_15_15) = all_0_14_14
% 51.85/15.01  												| (69) p(all_0_13_13) = 0
% 51.85/15.01  												|
% 51.85/15.01  												| Instantiating formula (717) with all_0_14_14, all_0_15_15 and discharging atoms q(all_0_15_15) = all_0_14_14, yields:
% 51.85/15.01  												| (941)  ? [v0] :  ? [v1] : (( ~ (all_0_14_14 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_0_14_14 = 0 | (v1 = 0 & q(v0) = 0)))
% 51.85/15.01  												|
% 51.85/15.01  												| Instantiating (941) with all_109_0_404, all_109_1_405 yields:
% 51.85/15.01  												| (1081) ( ~ (all_0_14_14 = 0) | ( ~ (all_109_0_404 = 0) & q(all_109_1_405) = all_109_0_404)) & (all_0_14_14 = 0 | (all_109_0_404 = 0 & q(all_109_1_405) = 0))
% 51.85/15.01  												|
% 51.85/15.01  												| Applying alpha-rule on (1081) yields:
% 51.85/15.01  												| (1082)  ~ (all_0_14_14 = 0) | ( ~ (all_109_0_404 = 0) & q(all_109_1_405) = all_109_0_404)
% 51.85/15.01  												| (1083) all_0_14_14 = 0 | (all_109_0_404 = 0 & q(all_109_1_405) = 0)
% 51.85/15.01  												|
% 51.85/15.01  												+-Applying beta-rule and splitting (1083), into two cases.
% 51.85/15.01  												|-Branch one:
% 51.85/15.01  												| (74) all_0_14_14 = 0
% 51.85/15.01  												|
% 51.85/15.01  													| Equations (74) can reduce 67 to:
% 51.85/15.01  													| (59) $false
% 51.85/15.01  													|
% 51.85/15.01  													|-The branch is then unsatisfiable
% 51.85/15.01  												|-Branch two:
% 51.85/15.01  												| (67)  ~ (all_0_14_14 = 0)
% 51.85/15.01  												| (1087) all_109_0_404 = 0 & q(all_109_1_405) = 0
% 51.85/15.01  												|
% 51.85/15.01  													| Applying alpha-rule on (1087) yields:
% 51.85/15.01  													| (1088) all_109_0_404 = 0
% 51.85/15.01  													| (1089) q(all_109_1_405) = 0
% 51.85/15.01  													|
% 51.85/15.01  													| Instantiating formula (212) with all_109_1_405 and discharging atoms q(all_109_1_405) = 0, yields:
% 51.85/15.01  													| (79) $false
% 51.85/15.01  													|
% 51.85/15.01  													|-The branch is then unsatisfiable
% 51.85/15.01  											|-Branch two:
% 51.85/15.01  											| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 51.85/15.01  											|
% 51.85/15.01  												| Applying alpha-rule on (76) yields:
% 51.85/15.01  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 51.85/15.01  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 51.85/15.01  												|
% 51.85/15.01  												| Instantiating formula (78) with all_0_1_1 and discharging atoms p(all_0_1_1) = 0, yields:
% 51.85/15.01  												| (79) $false
% 51.85/15.01  												|
% 51.85/15.01  												|-The branch is then unsatisfiable
% 51.85/15.01  										|-Branch two:
% 51.85/15.01  										| (142)  ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0)
% 51.85/15.01  										|
% 51.85/15.01  											| Applying alpha-rule on (142) yields:
% 51.85/15.01  											| (52)  ~ (all_0_10_10 = 0)
% 51.85/15.01  											| (144) p(all_0_11_11) = all_0_10_10
% 51.85/15.01  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 51.85/15.01  											|
% 51.85/15.01  											| Instantiating formula (62) with all_56_1_395 and discharging atoms s(all_56_1_395) = 0, yields:
% 51.85/15.01  											| (79) $false
% 51.85/15.01  											|
% 51.85/15.01  											|-The branch is then unsatisfiable
% 51.85/15.01  				|-Branch two:
% 51.85/15.01  				| (369)  ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_8_8 = 0 & s(all_0_9_9) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_8_8 = 0) & p(all_0_9_9) = all_0_8_8 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (s(v0) = 0)) & ((all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))
% 51.85/15.02  				|
% 51.85/15.02  					| Applying alpha-rule on (369) yields:
% 51.85/15.02  					| (370)  ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0))))
% 51.85/15.02  					| (371) (((all_0_8_8 = 0 & s(all_0_9_9) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_8_8 = 0) & p(all_0_9_9) = all_0_8_8 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (s(v0) = 0)) & ((all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))
% 51.85/15.02  					|
% 51.85/15.02  					+-Applying beta-rule and splitting (718), into two cases.
% 51.85/15.02  					|-Branch one:
% 51.85/15.02  					| (724) all_0_20_20 = 0 & r(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))
% 51.85/15.02  					|
% 51.85/15.02  						| Applying alpha-rule on (724) yields:
% 51.85/15.02  						| (81) all_0_20_20 = 0
% 51.85/15.02  						| (726) r(all_0_21_21) = 0
% 51.85/15.02  						| (220)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))
% 51.85/15.02  						|
% 51.85/15.02  						| Instantiating formula (370) with 0, all_0_21_21 and discharging atoms r(all_0_21_21) = 0, yields:
% 51.85/15.02  						| (377)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & r(v0) = v1)
% 51.85/15.02  						|
% 51.85/15.02  						| Instantiating (377) with all_41_0_408, all_41_1_409 yields:
% 51.85/15.02  						| (1108)  ~ (all_41_0_408 = 0) & r(all_41_1_409) = all_41_0_408
% 51.85/15.02  						|
% 51.85/15.02  						| Applying alpha-rule on (1108) yields:
% 51.85/15.02  						| (1109)  ~ (all_41_0_408 = 0)
% 51.85/15.02  						| (1110) r(all_41_1_409) = all_41_0_408
% 51.85/15.02  						|
% 51.85/15.02  						+-Applying beta-rule and splitting (17), into two cases.
% 51.85/15.02  						|-Branch one:
% 51.85/15.02  						| (38) all_0_2_2 = 0 & q(all_0_3_3) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 51.85/15.02  						|
% 51.85/15.02  							| Applying alpha-rule on (38) yields:
% 51.85/15.02  							| (39) all_0_2_2 = 0
% 51.85/15.02  							| (40) q(all_0_3_3) = 0
% 51.85/15.02  							| (41)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 51.85/15.02  							|
% 51.85/15.02  							| Instantiating formula (41) with all_41_0_408, all_41_1_409 and discharging atoms r(all_41_1_409) = all_41_0_408, yields:
% 51.85/15.02  							| (1115) all_41_0_408 = 0
% 51.85/15.02  							|
% 51.85/15.02  							| Equations (1115) can reduce 1109 to:
% 51.85/15.02  							| (59) $false
% 51.85/15.02  							|
% 51.85/15.02  							|-The branch is then unsatisfiable
% 51.85/15.02  						|-Branch two:
% 51.85/15.02  						| (209)  ~ (all_0_2_2 = 0) & r(all_0_3_3) = all_0_2_2 &  ! [v0] :  ~ (q(v0) = 0)
% 51.85/15.02  						|
% 51.85/15.02  							| Applying alpha-rule on (209) yields:
% 51.85/15.02  							| (210)  ~ (all_0_2_2 = 0)
% 51.85/15.02  							| (211) r(all_0_3_3) = all_0_2_2
% 51.85/15.02  							| (212)  ! [v0] :  ~ (q(v0) = 0)
% 51.85/15.02  							|
% 51.85/15.02  							+-Applying beta-rule and splitting (371), into two cases.
% 51.85/15.02  							|-Branch one:
% 51.85/15.02  							| (391) ((all_0_8_8 = 0 & s(all_0_9_9) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_8_8 = 0) & p(all_0_9_9) = all_0_8_8 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))))
% 51.85/15.02  							|
% 51.85/15.02  								| Applying alpha-rule on (391) yields:
% 51.85/15.02  								| (392) (all_0_8_8 = 0 & s(all_0_9_9) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_8_8 = 0) & p(all_0_9_9) = all_0_8_8 &  ! [v0] :  ~ (s(v0) = 0))
% 51.85/15.02  								| (45) (s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0))))
% 51.85/15.02  								|
% 51.85/15.02  								+-Applying beta-rule and splitting (392), into two cases.
% 51.85/15.02  								|-Branch one:
% 51.85/15.02  								| (394) all_0_8_8 = 0 & s(all_0_9_9) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 51.85/15.02  								|
% 51.85/15.02  									| Applying alpha-rule on (394) yields:
% 51.85/15.02  									| (120) all_0_8_8 = 0
% 51.85/15.02  									| (396) s(all_0_9_9) = 0
% 51.85/15.02  									| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 51.85/15.02  									|
% 51.85/15.02  									| Instantiating formula (61) with all_0_0_0, all_0_1_1 and discharging atoms p(all_0_1_1) = all_0_0_0, yields:
% 51.85/15.02  									| (63) all_0_0_0 = 0
% 51.85/15.02  									|
% 51.85/15.02  									| From (63) and (12) follows:
% 51.85/15.02  									| (64) p(all_0_1_1) = 0
% 51.85/15.02  									|
% 51.85/15.02  									+-Applying beta-rule and splitting (45), into two cases.
% 51.85/15.02  									|-Branch one:
% 51.85/15.02  									| (46) s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 51.85/15.03  									|
% 51.85/15.03  										| Applying alpha-rule on (46) yields:
% 51.85/15.03  										| (47) s(all_0_11_11) = all_0_10_10
% 51.85/15.03  										| (48)  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 51.85/15.03  										| (49)  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0))
% 51.85/15.03  										| (50) (all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 51.85/15.03  										|
% 51.85/15.03  										+-Applying beta-rule and splitting (50), into two cases.
% 51.85/15.03  										|-Branch one:
% 51.85/15.03  										| (65) all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0
% 51.85/15.03  										|
% 51.85/15.03  											| Applying alpha-rule on (65) yields:
% 51.85/15.03  											| (66) all_0_12_12 = 0
% 51.85/15.03  											| (67)  ~ (all_0_14_14 = 0)
% 51.85/15.03  											| (68) q(all_0_15_15) = all_0_14_14
% 51.85/15.03  											| (69) p(all_0_13_13) = 0
% 51.85/15.03  											|
% 51.85/15.03  											| Instantiating formula (717) with all_0_14_14, all_0_15_15 and discharging atoms q(all_0_15_15) = all_0_14_14, yields:
% 51.85/15.03  											| (941)  ? [v0] :  ? [v1] : (( ~ (all_0_14_14 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_0_14_14 = 0 | (v1 = 0 & q(v0) = 0)))
% 51.85/15.03  											|
% 51.85/15.03  											| Instantiating (941) with all_396_0_516, all_396_1_517 yields:
% 51.85/15.03  											| (1141) ( ~ (all_0_14_14 = 0) | ( ~ (all_396_0_516 = 0) & q(all_396_1_517) = all_396_0_516)) & (all_0_14_14 = 0 | (all_396_0_516 = 0 & q(all_396_1_517) = 0))
% 51.85/15.03  											|
% 51.85/15.03  											| Applying alpha-rule on (1141) yields:
% 51.85/15.03  											| (1142)  ~ (all_0_14_14 = 0) | ( ~ (all_396_0_516 = 0) & q(all_396_1_517) = all_396_0_516)
% 51.85/15.03  											| (1143) all_0_14_14 = 0 | (all_396_0_516 = 0 & q(all_396_1_517) = 0)
% 51.85/15.03  											|
% 51.85/15.03  											+-Applying beta-rule and splitting (1143), into two cases.
% 51.85/15.03  											|-Branch one:
% 51.85/15.03  											| (74) all_0_14_14 = 0
% 51.85/15.03  											|
% 51.85/15.03  												| Equations (74) can reduce 67 to:
% 51.85/15.03  												| (59) $false
% 51.85/15.03  												|
% 51.85/15.03  												|-The branch is then unsatisfiable
% 51.85/15.03  											|-Branch two:
% 51.85/15.03  											| (67)  ~ (all_0_14_14 = 0)
% 51.85/15.03  											| (1147) all_396_0_516 = 0 & q(all_396_1_517) = 0
% 51.85/15.03  											|
% 51.85/15.03  												| Applying alpha-rule on (1147) yields:
% 51.85/15.03  												| (1148) all_396_0_516 = 0
% 51.85/15.03  												| (1149) q(all_396_1_517) = 0
% 51.85/15.03  												|
% 51.85/15.03  												| Instantiating formula (212) with all_396_1_517 and discharging atoms q(all_396_1_517) = 0, yields:
% 51.85/15.03  												| (79) $false
% 51.85/15.03  												|
% 51.85/15.03  												|-The branch is then unsatisfiable
% 51.85/15.03  										|-Branch two:
% 51.85/15.03  										| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 51.85/15.03  										|
% 51.85/15.03  											| Applying alpha-rule on (76) yields:
% 51.85/15.03  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 51.85/15.03  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 51.85/15.03  											|
% 51.85/15.03  											| Instantiating formula (78) with all_0_1_1 and discharging atoms p(all_0_1_1) = 0, yields:
% 51.85/15.03  											| (79) $false
% 51.85/15.03  											|
% 51.85/15.03  											|-The branch is then unsatisfiable
% 51.85/15.03  									|-Branch two:
% 51.85/15.03  									| (83)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))
% 51.85/15.03  									|
% 51.85/15.03  										| Applying alpha-rule on (83) yields:
% 51.85/15.03  										| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 51.85/15.03  										| (85) (all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0))
% 51.85/15.03  										|
% 51.85/15.03  										| Instantiating formula (84) with 0, all_0_9_9 and discharging atoms s(all_0_9_9) = 0, yields:
% 51.85/15.03  										| (278)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & s(v0) = v1)
% 51.85/15.03  										|
% 51.85/15.03  										| Instantiating (278) with all_280_0_524, all_280_1_525 yields:
% 51.85/15.03  										| (1159)  ~ (all_280_0_524 = 0) & s(all_280_1_525) = all_280_0_524
% 51.85/15.03  										|
% 51.85/15.03  										| Applying alpha-rule on (1159) yields:
% 51.85/15.03  										| (1160)  ~ (all_280_0_524 = 0)
% 51.85/15.03  										| (1161) s(all_280_1_525) = all_280_0_524
% 51.85/15.03  										|
% 51.85/15.03  										| Instantiating formula (220) with all_280_0_524, all_280_1_525 and discharging atoms s(all_280_1_525) = all_280_0_524, yields:
% 51.85/15.03  										| (1162) all_280_0_524 = 0
% 51.85/15.03  										|
% 51.85/15.03  										| Equations (1162) can reduce 1160 to:
% 51.85/15.03  										| (59) $false
% 51.85/15.03  										|
% 51.85/15.03  										|-The branch is then unsatisfiable
% 51.85/15.03  								|-Branch two:
% 51.85/15.03  								| (427)  ~ (all_0_8_8 = 0) & p(all_0_9_9) = all_0_8_8 &  ! [v0] :  ~ (s(v0) = 0)
% 51.85/15.03  								|
% 51.85/15.03  									| Applying alpha-rule on (427) yields:
% 51.85/15.03  									| (55)  ~ (all_0_8_8 = 0)
% 51.85/15.03  									| (57) p(all_0_9_9) = all_0_8_8
% 51.85/15.03  									| (62)  ! [v0] :  ~ (s(v0) = 0)
% 51.85/15.03  									|
% 51.85/15.03  									| Instantiating formula (13) with all_0_8_8, all_0_9_9 and discharging atoms p(all_0_9_9) = all_0_8_8, yields:
% 51.85/15.03  									| (101)  ~ (all_0_0_0 = 0) | all_0_8_8 = 0
% 51.85/15.03  									|
% 51.85/15.03  									+-Applying beta-rule and splitting (45), into two cases.
% 51.85/15.03  									|-Branch one:
% 51.85/15.03  									| (46) s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 51.85/15.03  									|
% 51.85/15.03  										| Applying alpha-rule on (46) yields:
% 51.85/15.03  										| (47) s(all_0_11_11) = all_0_10_10
% 51.85/15.03  										| (48)  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 51.85/15.03  										| (49)  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0))
% 51.85/15.03  										| (50) (all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 51.85/15.03  										|
% 51.85/15.03  										| Instantiating formula (220) with all_0_10_10, all_0_11_11 and discharging atoms s(all_0_11_11) = all_0_10_10, yields:
% 51.85/15.03  										| (58) all_0_10_10 = 0
% 51.85/15.03  										|
% 51.85/15.03  										| From (58) and (47) follows:
% 51.85/15.03  										| (138) s(all_0_11_11) = 0
% 51.85/15.03  										|
% 51.85/15.03  										| Instantiating formula (62) with all_0_11_11 and discharging atoms s(all_0_11_11) = 0, yields:
% 51.85/15.03  										| (79) $false
% 51.85/15.03  										|
% 51.85/15.03  										|-The branch is then unsatisfiable
% 51.85/15.03  									|-Branch two:
% 51.85/15.03  									| (83)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))
% 51.85/15.03  									|
% 51.85/15.03  										| Applying alpha-rule on (83) yields:
% 51.85/15.03  										| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 51.85/15.03  										| (85) (all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0))
% 51.85/15.03  										|
% 51.85/15.03  										+-Applying beta-rule and splitting (101), into two cases.
% 51.85/15.03  										|-Branch one:
% 51.85/15.03  										| (102)  ~ (all_0_0_0 = 0)
% 51.85/15.03  										|
% 51.85/15.03  											+-Applying beta-rule and splitting (85), into two cases.
% 51.85/15.03  											|-Branch one:
% 51.85/15.03  											| (103) all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 51.85/15.03  											|
% 51.85/15.03  												| Applying alpha-rule on (103) yields:
% 51.85/15.03  												| (74) all_0_14_14 = 0
% 51.85/15.03  												| (105) p(all_0_15_15) = 0
% 51.85/15.03  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 51.85/15.03  												|
% 51.85/15.03  												| Instantiating formula (14) with all_0_15_15 and discharging atoms p(all_0_15_15) = 0, yields:
% 51.85/15.03  												| (63) all_0_0_0 = 0
% 51.85/15.03  												|
% 51.85/15.03  												| Equations (63) can reduce 102 to:
% 51.85/15.03  												| (59) $false
% 51.85/15.03  												|
% 51.85/15.03  												|-The branch is then unsatisfiable
% 51.85/15.03  											|-Branch two:
% 51.85/15.03  											| (109)  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)
% 51.85/15.03  											|
% 51.85/15.03  												| Applying alpha-rule on (109) yields:
% 51.85/15.03  												| (67)  ~ (all_0_14_14 = 0)
% 51.85/15.03  												| (68) q(all_0_15_15) = all_0_14_14
% 51.85/15.03  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 51.85/15.03  												|
% 51.85/15.03  												| Instantiating formula (717) with all_0_14_14, all_0_15_15 and discharging atoms q(all_0_15_15) = all_0_14_14, yields:
% 51.85/15.03  												| (941)  ? [v0] :  ? [v1] : (( ~ (all_0_14_14 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_0_14_14 = 0 | (v1 = 0 & q(v0) = 0)))
% 51.85/15.03  												|
% 51.85/15.03  												| Instantiating (941) with all_396_0_564, all_396_1_565 yields:
% 51.85/15.03  												| (1192) ( ~ (all_0_14_14 = 0) | ( ~ (all_396_0_564 = 0) & q(all_396_1_565) = all_396_0_564)) & (all_0_14_14 = 0 | (all_396_0_564 = 0 & q(all_396_1_565) = 0))
% 51.85/15.03  												|
% 51.85/15.03  												| Applying alpha-rule on (1192) yields:
% 51.85/15.03  												| (1193)  ~ (all_0_14_14 = 0) | ( ~ (all_396_0_564 = 0) & q(all_396_1_565) = all_396_0_564)
% 51.85/15.03  												| (1194) all_0_14_14 = 0 | (all_396_0_564 = 0 & q(all_396_1_565) = 0)
% 51.85/15.03  												|
% 51.85/15.03  												+-Applying beta-rule and splitting (1194), into two cases.
% 51.85/15.03  												|-Branch one:
% 51.85/15.03  												| (74) all_0_14_14 = 0
% 51.85/15.03  												|
% 51.85/15.03  													| Equations (74) can reduce 67 to:
% 51.85/15.03  													| (59) $false
% 51.85/15.03  													|
% 51.85/15.03  													|-The branch is then unsatisfiable
% 51.85/15.03  												|-Branch two:
% 51.85/15.03  												| (67)  ~ (all_0_14_14 = 0)
% 51.85/15.03  												| (1198) all_396_0_564 = 0 & q(all_396_1_565) = 0
% 51.85/15.03  												|
% 51.85/15.03  													| Applying alpha-rule on (1198) yields:
% 51.85/15.03  													| (1199) all_396_0_564 = 0
% 51.85/15.03  													| (1200) q(all_396_1_565) = 0
% 51.85/15.03  													|
% 51.85/15.03  													| Instantiating formula (212) with all_396_1_565 and discharging atoms q(all_396_1_565) = 0, yields:
% 51.85/15.03  													| (79) $false
% 51.85/15.03  													|
% 51.85/15.03  													|-The branch is then unsatisfiable
% 51.85/15.03  										|-Branch two:
% 51.85/15.03  										| (63) all_0_0_0 = 0
% 51.85/15.03  										| (120) all_0_8_8 = 0
% 51.85/15.03  										|
% 51.85/15.03  											| Equations (120) can reduce 55 to:
% 51.85/15.03  											| (59) $false
% 51.85/15.03  											|
% 51.85/15.03  											|-The branch is then unsatisfiable
% 51.85/15.04  							|-Branch two:
% 51.85/15.04  							| (468) ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (s(v0) = 0)) & ((all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))
% 51.85/15.04  							|
% 51.85/15.04  								| Applying alpha-rule on (468) yields:
% 51.85/15.04  								| (469) (all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))
% 51.85/15.04  								| (470) (s(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (s(v0) = 0)) & ((all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))
% 51.85/15.04  								|
% 51.85/15.04  								+-Applying beta-rule and splitting (469), into two cases.
% 51.85/15.04  								|-Branch one:
% 51.85/15.04  								| (471) all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14
% 51.85/15.04  								|
% 51.85/15.04  									| Applying alpha-rule on (471) yields:
% 51.85/15.04  									| (66) all_0_12_12 = 0
% 51.85/15.04  									| (67)  ~ (all_0_14_14 = 0)
% 51.85/15.04  									| (310) s(all_0_13_13) = 0
% 51.85/15.04  									| (475) p(all_0_15_15) = all_0_14_14
% 51.85/15.04  									|
% 51.85/15.04  									| Instantiating formula (13) with all_0_14_14, all_0_15_15 and discharging atoms p(all_0_15_15) = all_0_14_14, yields:
% 51.85/15.04  									| (476)  ~ (all_0_0_0 = 0) | all_0_14_14 = 0
% 51.85/15.04  									|
% 51.85/15.04  									+-Applying beta-rule and splitting (470), into two cases.
% 51.85/15.04  									|-Branch one:
% 51.85/15.04  									| (477) s(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (s(v0) = 0)) & ((all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0)))
% 51.85/15.04  									|
% 51.85/15.04  										| Applying alpha-rule on (477) yields:
% 51.85/15.04  										| (478) s(all_0_9_9) = all_0_8_8
% 51.85/15.04  										| (479)  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 51.85/15.04  										| (480)  ! [v0] : (all_0_8_8 = 0 |  ~ (s(v0) = 0))
% 51.85/15.04  										| (481) (all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0))
% 51.85/15.04  										|
% 51.85/15.04  										+-Applying beta-rule and splitting (476), into two cases.
% 51.85/15.04  										|-Branch one:
% 51.85/15.04  										| (102)  ~ (all_0_0_0 = 0)
% 51.85/15.04  										|
% 51.85/15.04  											+-Applying beta-rule and splitting (481), into two cases.
% 51.85/15.04  											|-Branch one:
% 51.85/15.04  											| (519) all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 51.85/15.04  											|
% 51.85/15.04  												| Applying alpha-rule on (519) yields:
% 51.85/15.04  												| (58) all_0_10_10 = 0
% 51.85/15.04  												| (521) p(all_0_11_11) = 0
% 51.85/15.04  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 51.85/15.04  												|
% 51.85/15.04  												| Instantiating formula (14) with all_0_11_11 and discharging atoms p(all_0_11_11) = 0, yields:
% 51.85/15.04  												| (63) all_0_0_0 = 0
% 51.85/15.04  												|
% 51.85/15.04  												| Equations (63) can reduce 102 to:
% 51.85/15.04  												| (59) $false
% 51.85/15.04  												|
% 51.85/15.04  												|-The branch is then unsatisfiable
% 51.85/15.04  											|-Branch two:
% 51.85/15.04  											| (526)  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0)
% 51.85/15.04  											|
% 51.85/15.04  												| Applying alpha-rule on (526) yields:
% 51.85/15.04  												| (52)  ~ (all_0_10_10 = 0)
% 51.85/15.04  												| (496) q(all_0_11_11) = all_0_10_10
% 51.85/15.04  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 51.85/15.04  												|
% 51.85/15.04  												| Instantiating formula (717) with all_0_10_10, all_0_11_11 and discharging atoms q(all_0_11_11) = all_0_10_10, yields:
% 51.85/15.04  												| (1230)  ? [v0] :  ? [v1] : (( ~ (all_0_10_10 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_0_10_10 = 0 | (v1 = 0 & q(v0) = 0)))
% 51.85/15.04  												|
% 51.85/15.04  												| Instantiating (1230) with all_399_0_646, all_399_1_647 yields:
% 51.85/15.04  												| (1231) ( ~ (all_0_10_10 = 0) | ( ~ (all_399_0_646 = 0) & q(all_399_1_647) = all_399_0_646)) & (all_0_10_10 = 0 | (all_399_0_646 = 0 & q(all_399_1_647) = 0))
% 51.85/15.04  												|
% 51.85/15.04  												| Applying alpha-rule on (1231) yields:
% 51.85/15.04  												| (1232)  ~ (all_0_10_10 = 0) | ( ~ (all_399_0_646 = 0) & q(all_399_1_647) = all_399_0_646)
% 51.85/15.04  												| (1233) all_0_10_10 = 0 | (all_399_0_646 = 0 & q(all_399_1_647) = 0)
% 51.85/15.04  												|
% 51.85/15.04  												+-Applying beta-rule and splitting (1233), into two cases.
% 51.85/15.04  												|-Branch one:
% 51.85/15.04  												| (58) all_0_10_10 = 0
% 51.85/15.04  												|
% 51.85/15.04  													| Equations (58) can reduce 52 to:
% 51.85/15.04  													| (59) $false
% 51.85/15.04  													|
% 51.85/15.04  													|-The branch is then unsatisfiable
% 51.85/15.04  												|-Branch two:
% 51.85/15.04  												| (52)  ~ (all_0_10_10 = 0)
% 51.85/15.04  												| (1237) all_399_0_646 = 0 & q(all_399_1_647) = 0
% 51.85/15.04  												|
% 51.85/15.04  													| Applying alpha-rule on (1237) yields:
% 51.85/15.04  													| (1238) all_399_0_646 = 0
% 51.85/15.04  													| (1239) q(all_399_1_647) = 0
% 51.85/15.04  													|
% 51.85/15.04  													| Instantiating formula (212) with all_399_1_647 and discharging atoms q(all_399_1_647) = 0, yields:
% 51.85/15.04  													| (79) $false
% 51.85/15.04  													|
% 51.85/15.04  													|-The branch is then unsatisfiable
% 51.85/15.04  										|-Branch two:
% 51.85/15.04  										| (63) all_0_0_0 = 0
% 51.85/15.04  										| (74) all_0_14_14 = 0
% 51.85/15.04  										|
% 51.85/15.04  											| Equations (74) can reduce 67 to:
% 51.85/15.04  											| (59) $false
% 51.85/15.04  											|
% 51.85/15.04  											|-The branch is then unsatisfiable
% 51.85/15.04  									|-Branch two:
% 51.85/15.04  									| (489)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 51.85/15.04  									|
% 51.85/15.04  										| Applying alpha-rule on (489) yields:
% 51.85/15.04  										| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 51.85/15.04  										| (491) (all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 51.85/15.04  										|
% 51.85/15.04  										| Instantiating formula (84) with 0, all_0_13_13 and discharging atoms s(all_0_13_13) = 0, yields:
% 51.85/15.04  										| (278)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & s(v0) = v1)
% 51.85/15.04  										|
% 51.85/15.04  										| Instantiating (278) with all_279_0_656, all_279_1_657 yields:
% 51.85/15.04  										| (1248)  ~ (all_279_0_656 = 0) & s(all_279_1_657) = all_279_0_656
% 51.85/15.04  										|
% 51.85/15.04  										| Applying alpha-rule on (1248) yields:
% 51.85/15.04  										| (1249)  ~ (all_279_0_656 = 0)
% 51.85/15.04  										| (1250) s(all_279_1_657) = all_279_0_656
% 51.85/15.04  										|
% 51.85/15.04  										| Instantiating formula (220) with all_279_0_656, all_279_1_657 and discharging atoms s(all_279_1_657) = all_279_0_656, yields:
% 51.85/15.04  										| (1251) all_279_0_656 = 0
% 51.85/15.04  										|
% 51.85/15.04  										| Equations (1251) can reduce 1249 to:
% 51.85/15.04  										| (59) $false
% 51.85/15.04  										|
% 51.85/15.04  										|-The branch is then unsatisfiable
% 51.85/15.04  								|-Branch two:
% 51.85/15.04  								| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 51.85/15.04  								|
% 51.85/15.04  									| Applying alpha-rule on (60) yields:
% 51.85/15.04  									| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 51.85/15.04  									| (62)  ! [v0] :  ~ (s(v0) = 0)
% 51.85/15.04  									|
% 51.85/15.04  									| Instantiating formula (61) with all_0_0_0, all_0_1_1 and discharging atoms p(all_0_1_1) = all_0_0_0, yields:
% 51.85/15.04  									| (63) all_0_0_0 = 0
% 51.85/15.04  									|
% 51.85/15.04  									| From (63) and (12) follows:
% 51.85/15.04  									| (64) p(all_0_1_1) = 0
% 51.85/15.04  									|
% 51.85/15.04  									+-Applying beta-rule and splitting (470), into two cases.
% 51.85/15.04  									|-Branch one:
% 51.85/15.04  									| (477) s(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (s(v0) = 0)) & ((all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0)))
% 51.85/15.04  									|
% 51.85/15.04  										| Applying alpha-rule on (477) yields:
% 51.85/15.04  										| (478) s(all_0_9_9) = all_0_8_8
% 51.85/15.04  										| (479)  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 51.85/15.04  										| (480)  ! [v0] : (all_0_8_8 = 0 |  ~ (s(v0) = 0))
% 51.85/15.04  										| (481) (all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0))
% 51.85/15.05  										|
% 51.85/15.05  										| Instantiating formula (220) with all_0_8_8, all_0_9_9 and discharging atoms s(all_0_9_9) = all_0_8_8, yields:
% 51.85/15.05  										| (120) all_0_8_8 = 0
% 51.85/15.05  										|
% 51.85/15.05  										| From (120) and (478) follows:
% 51.85/15.05  										| (396) s(all_0_9_9) = 0
% 51.85/15.05  										|
% 51.85/15.05  										| Instantiating formula (62) with all_0_9_9 and discharging atoms s(all_0_9_9) = 0, yields:
% 51.85/15.05  										| (79) $false
% 51.85/15.05  										|
% 51.85/15.05  										|-The branch is then unsatisfiable
% 51.85/15.05  									|-Branch two:
% 51.85/15.05  									| (489)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 51.85/15.05  									|
% 51.85/15.05  										| Applying alpha-rule on (489) yields:
% 51.85/15.05  										| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 51.85/15.05  										| (491) (all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 51.85/15.05  										|
% 51.85/15.05  										+-Applying beta-rule and splitting (491), into two cases.
% 51.85/15.05  										|-Branch one:
% 51.85/15.05  										| (493) all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0
% 51.85/15.05  										|
% 51.85/15.05  											| Applying alpha-rule on (493) yields:
% 51.85/15.05  											| (120) all_0_8_8 = 0
% 51.85/15.05  											| (52)  ~ (all_0_10_10 = 0)
% 51.85/15.05  											| (496) q(all_0_11_11) = all_0_10_10
% 51.85/15.05  											| (497) p(all_0_9_9) = 0
% 51.85/15.05  											|
% 51.85/15.05  											| Instantiating formula (717) with all_0_10_10, all_0_11_11 and discharging atoms q(all_0_11_11) = all_0_10_10, yields:
% 51.85/15.05  											| (1230)  ? [v0] :  ? [v1] : (( ~ (all_0_10_10 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_0_10_10 = 0 | (v1 = 0 & q(v0) = 0)))
% 51.85/15.05  											|
% 51.85/15.05  											| Instantiating (1230) with all_403_0_698, all_403_1_699 yields:
% 51.85/15.05  											| (1275) ( ~ (all_0_10_10 = 0) | ( ~ (all_403_0_698 = 0) & q(all_403_1_699) = all_403_0_698)) & (all_0_10_10 = 0 | (all_403_0_698 = 0 & q(all_403_1_699) = 0))
% 51.85/15.05  											|
% 51.85/15.05  											| Applying alpha-rule on (1275) yields:
% 51.85/15.05  											| (1276)  ~ (all_0_10_10 = 0) | ( ~ (all_403_0_698 = 0) & q(all_403_1_699) = all_403_0_698)
% 51.85/15.05  											| (1277) all_0_10_10 = 0 | (all_403_0_698 = 0 & q(all_403_1_699) = 0)
% 51.85/15.05  											|
% 51.85/15.05  											+-Applying beta-rule and splitting (1277), into two cases.
% 51.85/15.05  											|-Branch one:
% 51.85/15.05  											| (58) all_0_10_10 = 0
% 51.85/15.05  											|
% 51.85/15.05  												| Equations (58) can reduce 52 to:
% 51.85/15.05  												| (59) $false
% 51.85/15.05  												|
% 51.85/15.05  												|-The branch is then unsatisfiable
% 51.85/15.05  											|-Branch two:
% 51.85/15.05  											| (52)  ~ (all_0_10_10 = 0)
% 51.85/15.05  											| (1281) all_403_0_698 = 0 & q(all_403_1_699) = 0
% 51.85/15.05  											|
% 51.85/15.05  												| Applying alpha-rule on (1281) yields:
% 51.85/15.05  												| (1282) all_403_0_698 = 0
% 51.85/15.05  												| (1283) q(all_403_1_699) = 0
% 51.85/15.05  												|
% 51.85/15.05  												| Instantiating formula (212) with all_403_1_699 and discharging atoms q(all_403_1_699) = 0, yields:
% 51.85/15.05  												| (79) $false
% 51.85/15.05  												|
% 51.85/15.05  												|-The branch is then unsatisfiable
% 51.85/15.05  										|-Branch two:
% 51.85/15.05  										| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 51.85/15.05  										|
% 51.85/15.05  											| Applying alpha-rule on (76) yields:
% 51.85/15.05  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 51.85/15.05  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 51.85/15.05  											|
% 51.85/15.05  											| Instantiating formula (78) with all_0_1_1 and discharging atoms p(all_0_1_1) = 0, yields:
% 51.85/15.05  											| (79) $false
% 51.85/15.05  											|
% 51.85/15.05  											|-The branch is then unsatisfiable
% 51.85/15.05  					|-Branch two:
% 51.85/15.05  					| (899)  ~ (all_0_20_20 = 0) & s(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (r(v0) = 0)
% 51.85/15.05  					|
% 51.85/15.05  						| Applying alpha-rule on (899) yields:
% 51.85/15.05  						| (34)  ~ (all_0_20_20 = 0)
% 51.85/15.05  						| (35) s(all_0_21_21) = all_0_20_20
% 51.85/15.05  						| (221)  ! [v0] :  ~ (r(v0) = 0)
% 51.85/15.05  						|
% 51.85/15.05  						+-Applying beta-rule and splitting (17), into two cases.
% 51.85/15.05  						|-Branch one:
% 51.85/15.05  						| (38) all_0_2_2 = 0 & q(all_0_3_3) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 51.85/15.05  						|
% 51.85/15.05  							| Applying alpha-rule on (38) yields:
% 51.85/15.05  							| (39) all_0_2_2 = 0
% 51.85/15.05  							| (40) q(all_0_3_3) = 0
% 51.85/15.05  							| (41)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 51.85/15.05  							|
% 51.85/15.05  							| Instantiating formula (717) with 0, all_0_3_3 and discharging atoms q(all_0_3_3) = 0, yields:
% 51.85/15.05  							| (733)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & q(v0) = v1)
% 51.85/15.05  							|
% 51.85/15.05  							| Instantiating (733) with all_49_0_704, all_49_1_705 yields:
% 51.85/15.05  							| (1298)  ~ (all_49_0_704 = 0) & q(all_49_1_705) = all_49_0_704
% 51.85/15.05  							|
% 51.85/15.05  							| Applying alpha-rule on (1298) yields:
% 51.85/15.05  							| (1299)  ~ (all_49_0_704 = 0)
% 51.85/15.05  							| (1300) q(all_49_1_705) = all_49_0_704
% 51.85/15.05  							|
% 51.85/15.05  							| Instantiating formula (717) with all_49_0_704, all_49_1_705 and discharging atoms q(all_49_1_705) = all_49_0_704, yields:
% 51.85/15.05  							| (1301)  ? [v0] :  ? [v1] : (( ~ (all_49_0_704 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_49_0_704 = 0 | (v1 = 0 & q(v0) = 0)))
% 51.85/15.05  							|
% 51.85/15.05  							| Instantiating (1301) with all_56_0_706, all_56_1_707 yields:
% 51.85/15.05  							| (1302) ( ~ (all_49_0_704 = 0) | ( ~ (all_56_0_706 = 0) & q(all_56_1_707) = all_56_0_706)) & (all_49_0_704 = 0 | (all_56_0_706 = 0 & q(all_56_1_707) = 0))
% 51.85/15.05  							|
% 51.85/15.05  							| Applying alpha-rule on (1302) yields:
% 51.85/15.05  							| (1303)  ~ (all_49_0_704 = 0) | ( ~ (all_56_0_706 = 0) & q(all_56_1_707) = all_56_0_706)
% 51.85/15.05  							| (1304) all_49_0_704 = 0 | (all_56_0_706 = 0 & q(all_56_1_707) = 0)
% 51.85/15.05  							|
% 51.85/15.05  							+-Applying beta-rule and splitting (371), into two cases.
% 51.85/15.05  							|-Branch one:
% 51.85/15.05  							| (391) ((all_0_8_8 = 0 & s(all_0_9_9) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_8_8 = 0) & p(all_0_9_9) = all_0_8_8 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))))
% 51.85/15.05  							|
% 51.85/15.05  								| Applying alpha-rule on (391) yields:
% 51.85/15.05  								| (392) (all_0_8_8 = 0 & s(all_0_9_9) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_8_8 = 0) & p(all_0_9_9) = all_0_8_8 &  ! [v0] :  ~ (s(v0) = 0))
% 51.85/15.05  								| (45) (s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0))))
% 51.85/15.05  								|
% 51.85/15.05  								+-Applying beta-rule and splitting (45), into two cases.
% 51.85/15.05  								|-Branch one:
% 51.85/15.05  								| (46) s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 51.85/15.05  								|
% 51.85/15.05  									| Applying alpha-rule on (46) yields:
% 51.85/15.05  									| (47) s(all_0_11_11) = all_0_10_10
% 51.85/15.05  									| (48)  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 51.85/15.05  									| (49)  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0))
% 51.85/15.05  									| (50) (all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 51.85/15.05  									|
% 51.85/15.05  									| Instantiating formula (48) with all_0_20_20, all_0_21_21 and discharging atoms s(all_0_21_21) = all_0_20_20, yields:
% 51.85/15.05  									| (51)  ~ (all_0_10_10 = 0) | all_0_20_20 = 0
% 51.85/15.05  									|
% 51.85/15.05  									+-Applying beta-rule and splitting (1304), into two cases.
% 51.85/15.05  									|-Branch one:
% 51.85/15.05  									| (1314) all_49_0_704 = 0
% 51.85/15.05  									|
% 51.85/15.05  										| Equations (1314) can reduce 1299 to:
% 51.85/15.05  										| (59) $false
% 51.85/15.05  										|
% 51.85/15.05  										|-The branch is then unsatisfiable
% 51.85/15.05  									|-Branch two:
% 51.85/15.05  									| (1299)  ~ (all_49_0_704 = 0)
% 51.85/15.05  									| (1317) all_56_0_706 = 0 & q(all_56_1_707) = 0
% 51.85/15.05  									|
% 51.85/15.05  										+-Applying beta-rule and splitting (51), into two cases.
% 51.85/15.05  										|-Branch one:
% 51.85/15.05  										| (52)  ~ (all_0_10_10 = 0)
% 51.85/15.05  										|
% 51.85/15.05  											+-Applying beta-rule and splitting (392), into two cases.
% 51.85/15.05  											|-Branch one:
% 51.85/15.05  											| (394) all_0_8_8 = 0 & s(all_0_9_9) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 51.85/15.06  											|
% 51.85/15.06  												| Applying alpha-rule on (394) yields:
% 51.85/15.06  												| (120) all_0_8_8 = 0
% 51.85/15.06  												| (396) s(all_0_9_9) = 0
% 51.85/15.06  												| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 51.85/15.06  												|
% 51.85/15.06  												| Instantiating formula (49) with all_0_9_9 and discharging atoms s(all_0_9_9) = 0, yields:
% 51.85/15.06  												| (58) all_0_10_10 = 0
% 51.85/15.06  												|
% 51.85/15.06  												| Equations (58) can reduce 52 to:
% 51.85/15.06  												| (59) $false
% 51.85/15.06  												|
% 51.85/15.06  												|-The branch is then unsatisfiable
% 51.85/15.06  											|-Branch two:
% 51.85/15.06  											| (427)  ~ (all_0_8_8 = 0) & p(all_0_9_9) = all_0_8_8 &  ! [v0] :  ~ (s(v0) = 0)
% 51.85/15.06  											|
% 51.85/15.06  												| Applying alpha-rule on (427) yields:
% 51.85/15.06  												| (55)  ~ (all_0_8_8 = 0)
% 51.85/15.06  												| (57) p(all_0_9_9) = all_0_8_8
% 51.85/15.06  												| (62)  ! [v0] :  ~ (s(v0) = 0)
% 51.85/15.06  												|
% 51.85/15.06  												| Instantiating formula (13) with all_0_8_8, all_0_9_9 and discharging atoms p(all_0_9_9) = all_0_8_8, yields:
% 51.85/15.06  												| (101)  ~ (all_0_0_0 = 0) | all_0_8_8 = 0
% 51.85/15.06  												|
% 51.85/15.06  												+-Applying beta-rule and splitting (101), into two cases.
% 51.85/15.06  												|-Branch one:
% 51.85/15.06  												| (102)  ~ (all_0_0_0 = 0)
% 51.85/15.06  												|
% 51.85/15.06  													+-Applying beta-rule and splitting (50), into two cases.
% 51.85/15.06  													|-Branch one:
% 51.85/15.06  													| (65) all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0
% 51.85/15.06  													|
% 51.85/15.06  														| Applying alpha-rule on (65) yields:
% 51.85/15.06  														| (66) all_0_12_12 = 0
% 51.85/15.06  														| (67)  ~ (all_0_14_14 = 0)
% 51.85/15.06  														| (68) q(all_0_15_15) = all_0_14_14
% 51.85/15.06  														| (69) p(all_0_13_13) = 0
% 51.85/15.06  														|
% 51.85/15.06  														| Instantiating formula (14) with all_0_13_13 and discharging atoms p(all_0_13_13) = 0, yields:
% 51.85/15.06  														| (63) all_0_0_0 = 0
% 51.85/15.06  														|
% 51.85/15.06  														| Equations (63) can reduce 102 to:
% 51.85/15.06  														| (59) $false
% 51.85/15.06  														|
% 51.85/15.06  														|-The branch is then unsatisfiable
% 51.85/15.06  													|-Branch two:
% 51.85/15.06  													| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 51.85/15.06  													|
% 51.85/15.06  														| Applying alpha-rule on (76) yields:
% 51.85/15.06  														| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 51.85/15.06  														| (78)  ! [v0] :  ~ (p(v0) = 0)
% 51.85/15.06  														|
% 51.85/15.06  														| Instantiating formula (77) with all_49_0_704, all_49_1_705 and discharging atoms q(all_49_1_705) = all_49_0_704, yields:
% 51.85/15.06  														| (1314) all_49_0_704 = 0
% 51.85/15.06  														|
% 51.85/15.06  														| Equations (1314) can reduce 1299 to:
% 51.85/15.06  														| (59) $false
% 51.85/15.06  														|
% 51.85/15.06  														|-The branch is then unsatisfiable
% 51.85/15.06  												|-Branch two:
% 51.85/15.06  												| (63) all_0_0_0 = 0
% 51.85/15.06  												| (120) all_0_8_8 = 0
% 51.85/15.06  												|
% 51.85/15.06  													| Equations (120) can reduce 55 to:
% 51.85/15.06  													| (59) $false
% 51.85/15.06  													|
% 51.85/15.06  													|-The branch is then unsatisfiable
% 51.85/15.06  										|-Branch two:
% 51.85/15.06  										| (58) all_0_10_10 = 0
% 51.85/15.06  										| (81) all_0_20_20 = 0
% 51.85/15.06  										|
% 51.85/15.06  											| Equations (81) can reduce 34 to:
% 51.85/15.06  											| (59) $false
% 51.85/15.06  											|
% 51.85/15.06  											|-The branch is then unsatisfiable
% 51.85/15.06  								|-Branch two:
% 51.85/15.06  								| (83)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))
% 51.85/15.06  								|
% 51.85/15.06  									| Applying alpha-rule on (83) yields:
% 51.85/15.06  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 51.85/15.06  									| (85) (all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0))
% 51.85/15.06  									|
% 51.85/15.06  									| Instantiating formula (84) with all_0_20_20, all_0_21_21 and discharging atoms s(all_0_21_21) = all_0_20_20, yields:
% 51.85/15.06  									| (86)  ? [v0] :  ? [v1] : (( ~ (all_0_20_20 = 0) | ( ~ (v1 = 0) & s(v0) = v1)) & (all_0_20_20 = 0 | (v1 = 0 & s(v0) = 0)))
% 51.85/15.06  									|
% 51.85/15.06  									| Instantiating (86) with all_60_0_716, all_60_1_717 yields:
% 51.85/15.06  									| (1353) ( ~ (all_0_20_20 = 0) | ( ~ (all_60_0_716 = 0) & s(all_60_1_717) = all_60_0_716)) & (all_0_20_20 = 0 | (all_60_0_716 = 0 & s(all_60_1_717) = 0))
% 51.85/15.06  									|
% 51.85/15.06  									| Applying alpha-rule on (1353) yields:
% 51.85/15.06  									| (1354)  ~ (all_0_20_20 = 0) | ( ~ (all_60_0_716 = 0) & s(all_60_1_717) = all_60_0_716)
% 51.85/15.06  									| (1355) all_0_20_20 = 0 | (all_60_0_716 = 0 & s(all_60_1_717) = 0)
% 51.85/15.06  									|
% 51.85/15.06  									+-Applying beta-rule and splitting (1355), into two cases.
% 51.85/15.06  									|-Branch one:
% 51.85/15.06  									| (81) all_0_20_20 = 0
% 51.85/15.06  									|
% 51.85/15.06  										| Equations (81) can reduce 34 to:
% 51.85/15.06  										| (59) $false
% 51.85/15.06  										|
% 51.85/15.06  										|-The branch is then unsatisfiable
% 51.85/15.06  									|-Branch two:
% 51.85/15.06  									| (34)  ~ (all_0_20_20 = 0)
% 51.85/15.06  									| (1359) all_60_0_716 = 0 & s(all_60_1_717) = 0
% 51.85/15.06  									|
% 51.85/15.06  										| Applying alpha-rule on (1359) yields:
% 51.85/15.06  										| (1360) all_60_0_716 = 0
% 51.85/15.06  										| (1361) s(all_60_1_717) = 0
% 51.85/15.06  										|
% 51.85/15.06  										+-Applying beta-rule and splitting (1304), into two cases.
% 51.85/15.06  										|-Branch one:
% 51.85/15.06  										| (1314) all_49_0_704 = 0
% 51.85/15.06  										|
% 51.85/15.06  											| Equations (1314) can reduce 1299 to:
% 51.85/15.06  											| (59) $false
% 51.85/15.06  											|
% 51.85/15.06  											|-The branch is then unsatisfiable
% 51.85/15.06  										|-Branch two:
% 51.85/15.06  										| (1299)  ~ (all_49_0_704 = 0)
% 51.85/15.06  										| (1317) all_56_0_706 = 0 & q(all_56_1_707) = 0
% 51.85/15.06  										|
% 51.85/15.06  											+-Applying beta-rule and splitting (392), into two cases.
% 51.85/15.06  											|-Branch one:
% 51.85/15.06  											| (394) all_0_8_8 = 0 & s(all_0_9_9) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 51.85/15.06  											|
% 51.85/15.06  												| Applying alpha-rule on (394) yields:
% 51.85/15.06  												| (120) all_0_8_8 = 0
% 51.85/15.06  												| (396) s(all_0_9_9) = 0
% 51.85/15.06  												| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 51.85/15.06  												|
% 51.85/15.06  												| Instantiating formula (61) with all_0_0_0, all_0_1_1 and discharging atoms p(all_0_1_1) = all_0_0_0, yields:
% 51.85/15.06  												| (63) all_0_0_0 = 0
% 51.85/15.06  												|
% 51.85/15.06  												| From (63) and (12) follows:
% 51.85/15.06  												| (64) p(all_0_1_1) = 0
% 51.85/15.06  												|
% 51.85/15.06  												+-Applying beta-rule and splitting (85), into two cases.
% 51.85/15.06  												|-Branch one:
% 51.85/15.06  												| (103) all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 51.85/15.06  												|
% 51.85/15.06  													| Applying alpha-rule on (103) yields:
% 51.85/15.06  													| (74) all_0_14_14 = 0
% 51.85/15.06  													| (105) p(all_0_15_15) = 0
% 51.85/15.06  													| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 51.85/15.06  													|
% 51.85/15.06  													| Instantiating formula (77) with all_49_0_704, all_49_1_705 and discharging atoms q(all_49_1_705) = all_49_0_704, yields:
% 51.85/15.06  													| (1314) all_49_0_704 = 0
% 51.85/15.06  													|
% 51.85/15.06  													| Equations (1314) can reduce 1299 to:
% 51.85/15.06  													| (59) $false
% 51.85/15.06  													|
% 51.85/15.06  													|-The branch is then unsatisfiable
% 51.85/15.06  												|-Branch two:
% 51.85/15.06  												| (109)  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)
% 51.85/15.06  												|
% 51.85/15.06  													| Applying alpha-rule on (109) yields:
% 51.85/15.06  													| (67)  ~ (all_0_14_14 = 0)
% 51.85/15.06  													| (68) q(all_0_15_15) = all_0_14_14
% 51.85/15.06  													| (78)  ! [v0] :  ~ (p(v0) = 0)
% 51.85/15.06  													|
% 51.85/15.06  													| Instantiating formula (78) with all_0_1_1 and discharging atoms p(all_0_1_1) = 0, yields:
% 51.85/15.06  													| (79) $false
% 51.85/15.06  													|
% 51.85/15.06  													|-The branch is then unsatisfiable
% 51.85/15.06  											|-Branch two:
% 51.85/15.06  											| (427)  ~ (all_0_8_8 = 0) & p(all_0_9_9) = all_0_8_8 &  ! [v0] :  ~ (s(v0) = 0)
% 51.85/15.06  											|
% 51.85/15.06  												| Applying alpha-rule on (427) yields:
% 51.85/15.06  												| (55)  ~ (all_0_8_8 = 0)
% 51.85/15.06  												| (57) p(all_0_9_9) = all_0_8_8
% 51.85/15.06  												| (62)  ! [v0] :  ~ (s(v0) = 0)
% 51.85/15.06  												|
% 51.85/15.06  												| Instantiating formula (62) with all_60_1_717 and discharging atoms s(all_60_1_717) = 0, yields:
% 51.85/15.06  												| (79) $false
% 51.85/15.06  												|
% 51.85/15.06  												|-The branch is then unsatisfiable
% 51.85/15.06  							|-Branch two:
% 51.85/15.06  							| (468) ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (s(v0) = 0)) & ((all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))
% 51.85/15.06  							|
% 51.85/15.06  								| Applying alpha-rule on (468) yields:
% 51.85/15.06  								| (469) (all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))
% 51.85/15.06  								| (470) (s(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (s(v0) = 0)) & ((all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))
% 51.85/15.06  								|
% 51.85/15.06  								+-Applying beta-rule and splitting (470), into two cases.
% 51.85/15.06  								|-Branch one:
% 51.85/15.06  								| (477) s(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (s(v0) = 0)) & ((all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0)))
% 51.85/15.06  								|
% 51.85/15.06  									| Applying alpha-rule on (477) yields:
% 51.85/15.06  									| (478) s(all_0_9_9) = all_0_8_8
% 51.85/15.06  									| (479)  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 51.85/15.06  									| (480)  ! [v0] : (all_0_8_8 = 0 |  ~ (s(v0) = 0))
% 51.85/15.06  									| (481) (all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0))
% 51.85/15.06  									|
% 51.85/15.07  									| Instantiating formula (479) with all_0_20_20, all_0_21_21 and discharging atoms s(all_0_21_21) = all_0_20_20, yields:
% 51.85/15.07  									| (483)  ~ (all_0_8_8 = 0) | all_0_20_20 = 0
% 51.85/15.07  									|
% 51.85/15.07  									+-Applying beta-rule and splitting (1304), into two cases.
% 51.85/15.07  									|-Branch one:
% 51.85/15.07  									| (1314) all_49_0_704 = 0
% 51.85/15.07  									|
% 51.85/15.07  										| Equations (1314) can reduce 1299 to:
% 51.85/15.07  										| (59) $false
% 51.85/15.07  										|
% 51.85/15.07  										|-The branch is then unsatisfiable
% 51.85/15.07  									|-Branch two:
% 51.85/15.07  									| (1299)  ~ (all_49_0_704 = 0)
% 51.85/15.07  									| (1317) all_56_0_706 = 0 & q(all_56_1_707) = 0
% 51.85/15.07  									|
% 51.85/15.07  										+-Applying beta-rule and splitting (483), into two cases.
% 51.85/15.07  										|-Branch one:
% 51.85/15.07  										| (55)  ~ (all_0_8_8 = 0)
% 51.85/15.07  										|
% 51.85/15.07  											+-Applying beta-rule and splitting (469), into two cases.
% 51.85/15.07  											|-Branch one:
% 51.85/15.07  											| (471) all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14
% 51.85/15.07  											|
% 51.85/15.07  												| Applying alpha-rule on (471) yields:
% 51.85/15.07  												| (66) all_0_12_12 = 0
% 51.85/15.07  												| (67)  ~ (all_0_14_14 = 0)
% 51.85/15.07  												| (310) s(all_0_13_13) = 0
% 51.85/15.07  												| (475) p(all_0_15_15) = all_0_14_14
% 51.85/15.07  												|
% 51.85/15.07  												| Instantiating formula (480) with all_0_13_13 and discharging atoms s(all_0_13_13) = 0, yields:
% 51.85/15.07  												| (120) all_0_8_8 = 0
% 51.85/15.07  												|
% 51.85/15.07  												| Equations (120) can reduce 55 to:
% 51.85/15.07  												| (59) $false
% 51.85/15.07  												|
% 51.85/15.07  												|-The branch is then unsatisfiable
% 51.85/15.07  											|-Branch two:
% 51.85/15.07  											| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 51.85/15.07  											|
% 51.85/15.07  												| Applying alpha-rule on (60) yields:
% 51.85/15.07  												| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 51.85/15.07  												| (62)  ! [v0] :  ~ (s(v0) = 0)
% 51.85/15.07  												|
% 51.85/15.07  												| Instantiating formula (61) with all_0_0_0, all_0_1_1 and discharging atoms p(all_0_1_1) = all_0_0_0, yields:
% 51.85/15.07  												| (63) all_0_0_0 = 0
% 51.85/15.07  												|
% 51.85/15.07  												| From (63) and (12) follows:
% 51.85/15.07  												| (64) p(all_0_1_1) = 0
% 51.85/15.07  												|
% 51.85/15.07  												+-Applying beta-rule and splitting (481), into two cases.
% 51.85/15.07  												|-Branch one:
% 51.85/15.07  												| (519) all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 51.85/15.07  												|
% 51.85/15.07  													| Applying alpha-rule on (519) yields:
% 51.85/15.07  													| (58) all_0_10_10 = 0
% 51.85/15.07  													| (521) p(all_0_11_11) = 0
% 51.85/15.07  													| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 51.85/15.07  													|
% 51.85/15.07  													| Instantiating formula (77) with all_49_0_704, all_49_1_705 and discharging atoms q(all_49_1_705) = all_49_0_704, yields:
% 51.85/15.07  													| (1314) all_49_0_704 = 0
% 51.85/15.07  													|
% 51.85/15.07  													| Equations (1314) can reduce 1299 to:
% 51.85/15.07  													| (59) $false
% 51.85/15.07  													|
% 51.85/15.07  													|-The branch is then unsatisfiable
% 51.85/15.07  												|-Branch two:
% 51.85/15.07  												| (526)  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0)
% 51.85/15.07  												|
% 51.85/15.07  													| Applying alpha-rule on (526) yields:
% 51.85/15.07  													| (52)  ~ (all_0_10_10 = 0)
% 51.85/15.07  													| (496) q(all_0_11_11) = all_0_10_10
% 51.85/15.07  													| (78)  ! [v0] :  ~ (p(v0) = 0)
% 51.85/15.07  													|
% 51.85/15.07  													| Instantiating formula (78) with all_0_1_1 and discharging atoms p(all_0_1_1) = 0, yields:
% 51.85/15.07  													| (79) $false
% 51.85/15.07  													|
% 51.85/15.07  													|-The branch is then unsatisfiable
% 51.85/15.07  										|-Branch two:
% 51.85/15.07  										| (120) all_0_8_8 = 0
% 51.85/15.07  										| (81) all_0_20_20 = 0
% 51.85/15.07  										|
% 51.85/15.07  											| Equations (81) can reduce 34 to:
% 51.85/15.07  											| (59) $false
% 51.85/15.07  											|
% 51.85/15.07  											|-The branch is then unsatisfiable
% 51.85/15.07  								|-Branch two:
% 51.85/15.07  								| (489)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 51.85/15.07  								|
% 51.85/15.07  									| Applying alpha-rule on (489) yields:
% 51.85/15.07  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 51.85/15.07  									| (491) (all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 51.85/15.07  									|
% 51.85/15.07  									| Instantiating formula (84) with all_0_20_20, all_0_21_21 and discharging atoms s(all_0_21_21) = all_0_20_20, yields:
% 51.85/15.07  									| (86)  ? [v0] :  ? [v1] : (( ~ (all_0_20_20 = 0) | ( ~ (v1 = 0) & s(v0) = v1)) & (all_0_20_20 = 0 | (v1 = 0 & s(v0) = 0)))
% 51.85/15.07  									|
% 51.85/15.07  									| Instantiating (86) with all_60_0_742, all_60_1_743 yields:
% 51.85/15.07  									| (1432) ( ~ (all_0_20_20 = 0) | ( ~ (all_60_0_742 = 0) & s(all_60_1_743) = all_60_0_742)) & (all_0_20_20 = 0 | (all_60_0_742 = 0 & s(all_60_1_743) = 0))
% 51.85/15.07  									|
% 51.85/15.07  									| Applying alpha-rule on (1432) yields:
% 51.85/15.07  									| (1433)  ~ (all_0_20_20 = 0) | ( ~ (all_60_0_742 = 0) & s(all_60_1_743) = all_60_0_742)
% 51.85/15.07  									| (1434) all_0_20_20 = 0 | (all_60_0_742 = 0 & s(all_60_1_743) = 0)
% 51.85/15.07  									|
% 51.85/15.07  									+-Applying beta-rule and splitting (1434), into two cases.
% 51.85/15.07  									|-Branch one:
% 51.85/15.07  									| (81) all_0_20_20 = 0
% 51.85/15.07  									|
% 51.85/15.07  										| Equations (81) can reduce 34 to:
% 51.85/15.07  										| (59) $false
% 51.85/15.07  										|
% 51.85/15.07  										|-The branch is then unsatisfiable
% 51.85/15.07  									|-Branch two:
% 51.85/15.07  									| (34)  ~ (all_0_20_20 = 0)
% 51.85/15.07  									| (1438) all_60_0_742 = 0 & s(all_60_1_743) = 0
% 51.85/15.07  									|
% 51.85/15.07  										| Applying alpha-rule on (1438) yields:
% 51.85/15.07  										| (1439) all_60_0_742 = 0
% 51.85/15.07  										| (1440) s(all_60_1_743) = 0
% 51.85/15.07  										|
% 51.85/15.07  										+-Applying beta-rule and splitting (1304), into two cases.
% 51.85/15.07  										|-Branch one:
% 51.85/15.07  										| (1314) all_49_0_704 = 0
% 51.85/15.07  										|
% 51.85/15.07  											| Equations (1314) can reduce 1299 to:
% 51.85/15.07  											| (59) $false
% 51.85/15.07  											|
% 51.85/15.07  											|-The branch is then unsatisfiable
% 51.85/15.07  										|-Branch two:
% 51.85/15.07  										| (1299)  ~ (all_49_0_704 = 0)
% 51.85/15.07  										| (1317) all_56_0_706 = 0 & q(all_56_1_707) = 0
% 51.85/15.07  										|
% 51.85/15.07  											+-Applying beta-rule and splitting (469), into two cases.
% 51.85/15.07  											|-Branch one:
% 51.85/15.07  											| (471) all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14
% 51.85/15.07  											|
% 51.85/15.07  												| Applying alpha-rule on (471) yields:
% 51.85/15.07  												| (66) all_0_12_12 = 0
% 51.85/15.07  												| (67)  ~ (all_0_14_14 = 0)
% 51.85/15.07  												| (310) s(all_0_13_13) = 0
% 51.85/15.07  												| (475) p(all_0_15_15) = all_0_14_14
% 51.85/15.07  												|
% 51.85/15.07  												| Instantiating formula (13) with all_0_14_14, all_0_15_15 and discharging atoms p(all_0_15_15) = all_0_14_14, yields:
% 51.85/15.07  												| (476)  ~ (all_0_0_0 = 0) | all_0_14_14 = 0
% 51.85/15.07  												|
% 51.85/15.07  												+-Applying beta-rule and splitting (476), into two cases.
% 51.85/15.07  												|-Branch one:
% 51.85/15.07  												| (102)  ~ (all_0_0_0 = 0)
% 51.85/15.07  												|
% 51.85/15.07  													+-Applying beta-rule and splitting (491), into two cases.
% 51.85/15.07  													|-Branch one:
% 51.85/15.07  													| (493) all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0
% 51.85/15.07  													|
% 51.85/15.07  														| Applying alpha-rule on (493) yields:
% 51.85/15.07  														| (120) all_0_8_8 = 0
% 51.85/15.07  														| (52)  ~ (all_0_10_10 = 0)
% 51.85/15.07  														| (496) q(all_0_11_11) = all_0_10_10
% 51.85/15.07  														| (497) p(all_0_9_9) = 0
% 51.85/15.07  														|
% 51.85/15.07  														| Instantiating formula (14) with all_0_9_9 and discharging atoms p(all_0_9_9) = 0, yields:
% 51.85/15.07  														| (63) all_0_0_0 = 0
% 51.85/15.07  														|
% 51.85/15.07  														| Equations (63) can reduce 102 to:
% 51.85/15.07  														| (59) $false
% 51.85/15.07  														|
% 51.85/15.07  														|-The branch is then unsatisfiable
% 51.85/15.07  													|-Branch two:
% 51.85/15.07  													| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 51.85/15.07  													|
% 51.85/15.07  														| Applying alpha-rule on (76) yields:
% 51.85/15.07  														| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 51.85/15.07  														| (78)  ! [v0] :  ~ (p(v0) = 0)
% 51.85/15.07  														|
% 51.85/15.07  														| Instantiating formula (77) with all_49_0_704, all_49_1_705 and discharging atoms q(all_49_1_705) = all_49_0_704, yields:
% 51.85/15.07  														| (1314) all_49_0_704 = 0
% 51.85/15.07  														|
% 51.85/15.07  														| Equations (1314) can reduce 1299 to:
% 51.85/15.07  														| (59) $false
% 51.85/15.07  														|
% 51.85/15.07  														|-The branch is then unsatisfiable
% 51.85/15.07  												|-Branch two:
% 51.85/15.07  												| (63) all_0_0_0 = 0
% 51.85/15.07  												| (74) all_0_14_14 = 0
% 51.85/15.07  												|
% 51.85/15.07  													| Equations (74) can reduce 67 to:
% 51.85/15.07  													| (59) $false
% 51.85/15.07  													|
% 51.85/15.07  													|-The branch is then unsatisfiable
% 51.85/15.07  											|-Branch two:
% 51.85/15.07  											| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 51.85/15.07  											|
% 51.85/15.07  												| Applying alpha-rule on (60) yields:
% 51.85/15.07  												| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 51.85/15.07  												| (62)  ! [v0] :  ~ (s(v0) = 0)
% 51.85/15.07  												|
% 51.85/15.07  												| Instantiating formula (62) with all_60_1_743 and discharging atoms s(all_60_1_743) = 0, yields:
% 51.85/15.07  												| (79) $false
% 51.85/15.07  												|
% 51.85/15.07  												|-The branch is then unsatisfiable
% 51.85/15.07  						|-Branch two:
% 51.85/15.07  						| (209)  ~ (all_0_2_2 = 0) & r(all_0_3_3) = all_0_2_2 &  ! [v0] :  ~ (q(v0) = 0)
% 51.85/15.07  						|
% 51.85/15.07  							| Applying alpha-rule on (209) yields:
% 51.85/15.07  							| (210)  ~ (all_0_2_2 = 0)
% 51.85/15.07  							| (211) r(all_0_3_3) = all_0_2_2
% 51.85/15.07  							| (212)  ! [v0] :  ~ (q(v0) = 0)
% 51.85/15.07  							|
% 51.85/15.07  							| Instantiating formula (370) with all_0_2_2, all_0_3_3 and discharging atoms r(all_0_3_3) = all_0_2_2, yields:
% 51.85/15.07  							| (705)  ? [v0] :  ? [v1] : (( ~ (all_0_2_2 = 0) | ( ~ (v1 = 0) & r(v0) = v1)) & (all_0_2_2 = 0 | (v1 = 0 & r(v0) = 0)))
% 51.85/15.07  							|
% 51.85/15.07  							| Instantiating (705) with all_49_0_760, all_49_1_761 yields:
% 51.85/15.07  							| (1476) ( ~ (all_0_2_2 = 0) | ( ~ (all_49_0_760 = 0) & r(all_49_1_761) = all_49_0_760)) & (all_0_2_2 = 0 | (all_49_0_760 = 0 & r(all_49_1_761) = 0))
% 51.85/15.07  							|
% 51.85/15.07  							| Applying alpha-rule on (1476) yields:
% 51.85/15.07  							| (1477)  ~ (all_0_2_2 = 0) | ( ~ (all_49_0_760 = 0) & r(all_49_1_761) = all_49_0_760)
% 51.85/15.07  							| (1478) all_0_2_2 = 0 | (all_49_0_760 = 0 & r(all_49_1_761) = 0)
% 51.85/15.07  							|
% 51.85/15.07  							+-Applying beta-rule and splitting (1478), into two cases.
% 51.85/15.07  							|-Branch one:
% 51.85/15.07  							| (39) all_0_2_2 = 0
% 51.85/15.07  							|
% 51.85/15.07  								| Equations (39) can reduce 210 to:
% 51.85/15.07  								| (59) $false
% 51.85/15.07  								|
% 51.85/15.07  								|-The branch is then unsatisfiable
% 51.85/15.07  							|-Branch two:
% 51.85/15.07  							| (210)  ~ (all_0_2_2 = 0)
% 51.85/15.07  							| (1482) all_49_0_760 = 0 & r(all_49_1_761) = 0
% 51.85/15.07  							|
% 51.85/15.07  								| Applying alpha-rule on (1482) yields:
% 51.85/15.07  								| (1483) all_49_0_760 = 0
% 51.85/15.07  								| (1484) r(all_49_1_761) = 0
% 51.85/15.07  								|
% 51.85/15.07  								| Instantiating formula (221) with all_49_1_761 and discharging atoms r(all_49_1_761) = 0, yields:
% 51.85/15.07  								| (79) $false
% 51.85/15.07  								|
% 51.85/15.07  								|-The branch is then unsatisfiable
% 51.85/15.07  		|-Branch two:
% 51.85/15.07  		| (1486) ((r(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (r(v0) = 0)) & ((((all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))) | ( ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))))) & ((q(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (q(v0) = 0)) & ((all_0_10_10 = 0 & r(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (r(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 & r(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))))
% 51.85/15.08  		|
% 51.85/15.08  			| Applying alpha-rule on (1486) yields:
% 51.85/15.08  			| (1487) (r(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (r(v0) = 0)) & ((((all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))) | ( ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))))
% 51.85/15.08  			| (1488) (q(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (q(v0) = 0)) & ((all_0_10_10 = 0 & r(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (r(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 & r(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0))))
% 51.85/15.09  			|
% 51.85/15.09  			+-Applying beta-rule and splitting (1488), into two cases.
% 51.85/15.09  			|-Branch one:
% 51.85/15.09  			| (1489) q(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (q(v0) = 0)) & ((all_0_10_10 = 0 & r(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (r(v0) = 0)))
% 51.85/15.09  			|
% 51.85/15.09  				| Applying alpha-rule on (1489) yields:
% 51.85/15.09  				| (1490) q(all_0_9_9) = all_0_8_8
% 51.85/15.09  				| (1491)  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (q(v0) = v1))
% 51.85/15.09  				| (1492)  ! [v0] : (all_0_8_8 = 0 |  ~ (q(v0) = 0))
% 51.85/15.09  				| (1493) (all_0_10_10 = 0 & r(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (r(v0) = 0))
% 51.85/15.09  				|
% 51.85/15.09  				+-Applying beta-rule and splitting (1487), into two cases.
% 51.85/15.09  				|-Branch one:
% 51.85/15.09  				| (1494) r(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (r(v0) = 0)) & ((((all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))
% 51.85/15.09  				|
% 51.85/15.09  					| Applying alpha-rule on (1494) yields:
% 51.85/15.09  					| (1495) r(all_0_13_13) = all_0_12_12
% 51.85/15.09  					| (1496)  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (r(v0) = v1))
% 51.85/15.09  					| (1497)  ! [v0] : (all_0_12_12 = 0 |  ~ (r(v0) = 0))
% 51.85/15.09  					| (1498) (((all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))
% 51.85/15.09  					|
% 51.85/15.09  					+-Applying beta-rule and splitting (1493), into two cases.
% 51.85/15.09  					|-Branch one:
% 51.85/15.09  					| (1499) all_0_10_10 = 0 & r(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))
% 51.85/15.09  					|
% 51.85/15.09  						| Applying alpha-rule on (1499) yields:
% 51.85/15.09  						| (58) all_0_10_10 = 0
% 51.85/15.09  						| (1501) r(all_0_11_11) = 0
% 51.85/15.09  						| (220)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))
% 51.85/15.09  						|
% 51.85/15.09  						| Instantiating formula (1497) with all_0_11_11 and discharging atoms r(all_0_11_11) = 0, yields:
% 51.85/15.09  						| (66) all_0_12_12 = 0
% 51.85/15.09  						|
% 51.85/15.09  						+-Applying beta-rule and splitting (17), into two cases.
% 51.85/15.09  						|-Branch one:
% 51.85/15.09  						| (38) all_0_2_2 = 0 & q(all_0_3_3) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 51.85/15.09  						|
% 51.85/15.09  							| Applying alpha-rule on (38) yields:
% 51.85/15.09  							| (39) all_0_2_2 = 0
% 51.85/15.09  							| (40) q(all_0_3_3) = 0
% 51.85/15.09  							| (41)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 51.85/15.09  							|
% 51.85/15.09  							| Instantiating formula (1492) with all_0_3_3 and discharging atoms q(all_0_3_3) = 0, yields:
% 51.85/15.09  							| (120) all_0_8_8 = 0
% 51.85/15.09  							|
% 51.85/15.09  							+-Applying beta-rule and splitting (1498), into two cases.
% 51.85/15.09  							|-Branch one:
% 51.85/15.09  							| (1509) ((all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))
% 51.85/15.09  							|
% 51.85/15.09  								| Applying alpha-rule on (1509) yields:
% 51.85/15.09  								| (1510) (all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))
% 51.85/15.09  								| (1511) (s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))))
% 51.85/15.09  								|
% 51.85/15.09  								+-Applying beta-rule and splitting (1511), into two cases.
% 51.85/15.09  								|-Branch one:
% 51.85/15.09  								| (1512) s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 51.85/15.09  								|
% 51.85/15.09  									| Applying alpha-rule on (1512) yields:
% 51.85/15.09  									| (1513) s(all_0_17_17) = all_0_16_16
% 51.85/15.09  									| (1514)  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 51.85/15.09  									| (1515)  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0))
% 51.85/15.09  									| (1516) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 51.85/15.09  									|
% 51.85/15.09  									| Instantiating formula (220) with all_0_16_16, all_0_17_17 and discharging atoms s(all_0_17_17) = all_0_16_16, yields:
% 51.85/15.09  									| (42) all_0_16_16 = 0
% 51.85/15.09  									|
% 51.85/15.09  									| From (42) and (1513) follows:
% 51.85/15.09  									| (1518) s(all_0_17_17) = 0
% 51.85/15.09  									|
% 51.85/15.09  									+-Applying beta-rule and splitting (1510), into two cases.
% 51.85/15.09  									|-Branch one:
% 51.85/15.09  									| (1519) all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 51.85/15.09  									|
% 51.85/15.09  										| Applying alpha-rule on (1519) yields:
% 51.85/15.09  										| (74) all_0_14_14 = 0
% 51.85/15.09  										| (1521) s(all_0_15_15) = 0
% 51.85/15.09  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 51.85/15.09  										|
% 51.85/15.09  										| Instantiating formula (61) with all_0_0_0, all_0_1_1 and discharging atoms p(all_0_1_1) = all_0_0_0, yields:
% 51.85/15.09  										| (63) all_0_0_0 = 0
% 51.85/15.09  										|
% 51.85/15.09  										| From (63) and (12) follows:
% 51.85/15.09  										| (64) p(all_0_1_1) = 0
% 51.85/15.09  										|
% 51.85/15.09  										+-Applying beta-rule and splitting (1516), into two cases.
% 51.85/15.09  										|-Branch one:
% 51.85/15.09  										| (1525) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0
% 51.85/15.10  										|
% 51.85/15.10  											| Applying alpha-rule on (1525) yields:
% 51.85/15.10  											| (33) all_0_18_18 = 0
% 51.85/15.10  											| (34)  ~ (all_0_20_20 = 0)
% 51.85/15.10  											| (1528) q(all_0_21_21) = all_0_20_20
% 51.85/15.10  											| (1529) p(all_0_19_19) = 0
% 51.85/15.10  											|
% 51.85/15.10  											| Instantiating formula (1491) with all_0_20_20, all_0_21_21 and discharging atoms q(all_0_21_21) = all_0_20_20, yields:
% 51.85/15.10  											| (483)  ~ (all_0_8_8 = 0) | all_0_20_20 = 0
% 51.85/15.10  											|
% 51.85/15.10  											+-Applying beta-rule and splitting (483), into two cases.
% 51.85/15.10  											|-Branch one:
% 51.85/15.10  											| (55)  ~ (all_0_8_8 = 0)
% 51.85/15.10  											|
% 51.85/15.10  												| Equations (120) can reduce 55 to:
% 51.85/15.10  												| (59) $false
% 51.85/15.10  												|
% 51.85/15.10  												|-The branch is then unsatisfiable
% 51.85/15.10  											|-Branch two:
% 51.85/15.10  											| (120) all_0_8_8 = 0
% 51.85/15.10  											| (81) all_0_20_20 = 0
% 51.85/15.10  											|
% 51.85/15.10  												| Equations (81) can reduce 34 to:
% 51.85/15.10  												| (59) $false
% 51.85/15.10  												|
% 51.85/15.10  												|-The branch is then unsatisfiable
% 51.85/15.10  										|-Branch two:
% 51.85/15.10  										| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 51.85/15.10  										|
% 51.85/15.10  											| Applying alpha-rule on (76) yields:
% 51.85/15.10  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 51.85/15.10  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 51.85/15.10  											|
% 51.85/15.10  											| Instantiating formula (78) with all_0_1_1 and discharging atoms p(all_0_1_1) = 0, yields:
% 51.85/15.10  											| (79) $false
% 51.85/15.10  											|
% 51.85/15.10  											|-The branch is then unsatisfiable
% 51.85/15.10  									|-Branch two:
% 51.85/15.10  									| (1540)  ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0)
% 51.85/15.10  									|
% 51.85/15.10  										| Applying alpha-rule on (1540) yields:
% 51.85/15.10  										| (67)  ~ (all_0_14_14 = 0)
% 51.85/15.10  										| (475) p(all_0_15_15) = all_0_14_14
% 51.85/15.10  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 51.85/15.10  										|
% 51.85/15.10  										| Instantiating formula (62) with all_0_17_17 and discharging atoms s(all_0_17_17) = 0, yields:
% 51.85/15.10  										| (79) $false
% 51.85/15.10  										|
% 51.85/15.10  										|-The branch is then unsatisfiable
% 51.85/15.10  								|-Branch two:
% 51.85/15.10  								| (1545)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))
% 51.85/15.10  								|
% 51.85/15.10  									| Applying alpha-rule on (1545) yields:
% 51.85/15.10  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 51.85/15.10  									| (1547) (all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))
% 51.85/15.10  									|
% 51.85/15.10  									+-Applying beta-rule and splitting (1510), into two cases.
% 51.85/15.10  									|-Branch one:
% 51.85/15.10  									| (1519) all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 51.85/15.10  									|
% 51.85/15.10  										| Applying alpha-rule on (1519) yields:
% 51.85/15.10  										| (74) all_0_14_14 = 0
% 51.85/15.10  										| (1521) s(all_0_15_15) = 0
% 51.85/15.10  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 51.85/15.10  										|
% 51.85/15.10  										| Instantiating formula (84) with 0, all_0_15_15 and discharging atoms s(all_0_15_15) = 0, yields:
% 51.85/15.10  										| (278)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & s(v0) = v1)
% 51.85/15.10  										|
% 51.85/15.10  										| Instantiating (278) with all_79_0_762, all_79_1_763 yields:
% 51.85/15.10  										| (1553)  ~ (all_79_0_762 = 0) & s(all_79_1_763) = all_79_0_762
% 51.85/15.10  										|
% 51.85/15.10  										| Applying alpha-rule on (1553) yields:
% 51.85/15.10  										| (1554)  ~ (all_79_0_762 = 0)
% 51.85/15.10  										| (1555) s(all_79_1_763) = all_79_0_762
% 51.85/15.10  										|
% 51.85/15.10  										| Instantiating formula (220) with all_79_0_762, all_79_1_763 and discharging atoms s(all_79_1_763) = all_79_0_762, yields:
% 51.85/15.10  										| (1556) all_79_0_762 = 0
% 51.85/15.10  										|
% 51.85/15.10  										| Equations (1556) can reduce 1554 to:
% 51.85/15.10  										| (59) $false
% 51.85/15.10  										|
% 51.85/15.10  										|-The branch is then unsatisfiable
% 51.85/15.10  									|-Branch two:
% 51.85/15.10  									| (1540)  ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0)
% 51.85/15.10  									|
% 51.85/15.10  										| Applying alpha-rule on (1540) yields:
% 51.85/15.10  										| (67)  ~ (all_0_14_14 = 0)
% 51.85/15.10  										| (475) p(all_0_15_15) = all_0_14_14
% 51.85/15.10  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 51.85/15.10  										|
% 51.85/15.10  										| Instantiating formula (13) with all_0_14_14, all_0_15_15 and discharging atoms p(all_0_15_15) = all_0_14_14, yields:
% 51.85/15.10  										| (476)  ~ (all_0_0_0 = 0) | all_0_14_14 = 0
% 51.85/15.10  										|
% 51.85/15.10  										+-Applying beta-rule and splitting (1547), into two cases.
% 51.85/15.10  										|-Branch one:
% 51.85/15.10  										| (1563) all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 51.85/15.10  										|
% 51.85/15.10  											| Applying alpha-rule on (1563) yields:
% 51.85/15.10  											| (81) all_0_20_20 = 0
% 51.85/15.10  											| (1565) p(all_0_21_21) = 0
% 51.85/15.10  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 51.85/15.10  											|
% 51.85/15.10  											+-Applying beta-rule and splitting (476), into two cases.
% 51.85/15.10  											|-Branch one:
% 51.85/15.10  											| (102)  ~ (all_0_0_0 = 0)
% 51.85/15.10  											|
% 51.85/15.10  												| Instantiating formula (14) with all_0_21_21 and discharging atoms p(all_0_21_21) = 0, yields:
% 51.85/15.10  												| (63) all_0_0_0 = 0
% 51.85/15.10  												|
% 51.85/15.10  												| Equations (63) can reduce 102 to:
% 51.85/15.10  												| (59) $false
% 51.85/15.10  												|
% 51.85/15.10  												|-The branch is then unsatisfiable
% 51.85/15.10  											|-Branch two:
% 51.85/15.10  											| (63) all_0_0_0 = 0
% 51.85/15.10  											| (74) all_0_14_14 = 0
% 51.85/15.10  											|
% 51.85/15.10  												| Equations (74) can reduce 67 to:
% 51.85/15.10  												| (59) $false
% 51.85/15.10  												|
% 51.85/15.10  												|-The branch is then unsatisfiable
% 51.85/15.10  										|-Branch two:
% 51.85/15.10  										| (1573)  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)
% 51.85/15.10  										|
% 51.85/15.10  											| Applying alpha-rule on (1573) yields:
% 51.85/15.10  											| (34)  ~ (all_0_20_20 = 0)
% 51.85/15.10  											| (1528) q(all_0_21_21) = all_0_20_20
% 51.85/15.10  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 51.85/15.10  											|
% 51.85/15.10  											| Instantiating formula (1491) with all_0_20_20, all_0_21_21 and discharging atoms q(all_0_21_21) = all_0_20_20, yields:
% 51.85/15.10  											| (483)  ~ (all_0_8_8 = 0) | all_0_20_20 = 0
% 51.85/15.10  											|
% 51.85/15.10  											+-Applying beta-rule and splitting (483), into two cases.
% 51.85/15.10  											|-Branch one:
% 51.85/15.10  											| (55)  ~ (all_0_8_8 = 0)
% 51.85/15.10  											|
% 51.85/15.10  												| Equations (120) can reduce 55 to:
% 51.85/15.10  												| (59) $false
% 51.85/15.10  												|
% 51.85/15.10  												|-The branch is then unsatisfiable
% 51.85/15.10  											|-Branch two:
% 51.85/15.10  											| (120) all_0_8_8 = 0
% 51.85/15.10  											| (81) all_0_20_20 = 0
% 51.85/15.10  											|
% 51.85/15.10  												| Equations (81) can reduce 34 to:
% 51.85/15.10  												| (59) $false
% 51.85/15.10  												|
% 51.85/15.10  												|-The branch is then unsatisfiable
% 51.85/15.10  							|-Branch two:
% 51.85/15.10  							| (1583) ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))
% 51.85/15.10  							|
% 51.85/15.10  								| Applying alpha-rule on (1583) yields:
% 51.85/15.10  								| (1584) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))
% 51.85/15.10  								| (1585) (s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))
% 51.85/15.10  								|
% 51.85/15.10  								+-Applying beta-rule and splitting (1585), into two cases.
% 51.85/15.10  								|-Branch one:
% 51.85/15.10  								| (1586) s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))
% 51.85/15.10  								|
% 51.85/15.10  									| Applying alpha-rule on (1586) yields:
% 51.85/15.10  									| (1587) s(all_0_15_15) = all_0_14_14
% 51.85/15.10  									| (1588)  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 51.85/15.10  									| (1589)  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0))
% 51.85/15.10  									| (1590) (all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0))
% 51.85/15.10  									|
% 51.85/15.10  									| Instantiating formula (220) with all_0_14_14, all_0_15_15 and discharging atoms s(all_0_15_15) = all_0_14_14, yields:
% 51.85/15.10  									| (74) all_0_14_14 = 0
% 51.85/15.10  									|
% 51.85/15.10  									| From (74) and (1587) follows:
% 51.85/15.10  									| (1521) s(all_0_15_15) = 0
% 51.85/15.10  									|
% 51.85/15.10  									+-Applying beta-rule and splitting (1584), into two cases.
% 51.85/15.10  									|-Branch one:
% 51.85/15.10  									| (1593) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20
% 51.85/15.10  									|
% 51.85/15.10  										| Applying alpha-rule on (1593) yields:
% 51.85/15.10  										| (33) all_0_18_18 = 0
% 51.85/15.10  										| (34)  ~ (all_0_20_20 = 0)
% 51.85/15.10  										| (1596) s(all_0_19_19) = 0
% 51.85/15.10  										| (1597) p(all_0_21_21) = all_0_20_20
% 51.85/15.10  										|
% 51.85/15.10  										| Instantiating formula (13) with all_0_20_20, all_0_21_21 and discharging atoms p(all_0_21_21) = all_0_20_20, yields:
% 51.85/15.10  										| (1598)  ~ (all_0_0_0 = 0) | all_0_20_20 = 0
% 51.85/15.10  										|
% 51.85/15.10  										+-Applying beta-rule and splitting (1590), into two cases.
% 51.85/15.10  										|-Branch one:
% 51.85/15.10  										| (1599) all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 51.85/15.10  										|
% 51.85/15.10  											| Applying alpha-rule on (1599) yields:
% 51.85/15.10  											| (42) all_0_16_16 = 0
% 51.85/15.10  											| (1601) p(all_0_17_17) = 0
% 51.85/15.10  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 51.85/15.10  											|
% 51.85/15.10  											+-Applying beta-rule and splitting (1598), into two cases.
% 51.85/15.10  											|-Branch one:
% 51.85/15.10  											| (102)  ~ (all_0_0_0 = 0)
% 51.85/15.10  											|
% 51.85/15.10  												| Instantiating formula (14) with all_0_17_17 and discharging atoms p(all_0_17_17) = 0, yields:
% 51.85/15.10  												| (63) all_0_0_0 = 0
% 51.85/15.10  												|
% 51.85/15.10  												| Equations (63) can reduce 102 to:
% 51.85/15.10  												| (59) $false
% 51.85/15.10  												|
% 51.85/15.10  												|-The branch is then unsatisfiable
% 51.85/15.10  											|-Branch two:
% 51.85/15.10  											| (63) all_0_0_0 = 0
% 51.85/15.10  											| (81) all_0_20_20 = 0
% 51.85/15.10  											|
% 51.85/15.10  												| Equations (81) can reduce 34 to:
% 51.85/15.10  												| (59) $false
% 51.85/15.10  												|
% 51.85/15.10  												|-The branch is then unsatisfiable
% 51.85/15.10  										|-Branch two:
% 51.85/15.11  										| (1609)  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)
% 51.85/15.11  										|
% 51.85/15.11  											| Applying alpha-rule on (1609) yields:
% 51.85/15.11  											| (71)  ~ (all_0_16_16 = 0)
% 51.85/15.11  											| (23) q(all_0_17_17) = all_0_16_16
% 51.85/15.11  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 51.85/15.11  											|
% 51.85/15.11  											| Instantiating formula (1491) with all_0_16_16, all_0_17_17 and discharging atoms q(all_0_17_17) = all_0_16_16, yields:
% 51.85/15.11  											| (1613)  ~ (all_0_8_8 = 0) | all_0_16_16 = 0
% 51.85/15.11  											|
% 51.85/15.11  											+-Applying beta-rule and splitting (1613), into two cases.
% 51.85/15.11  											|-Branch one:
% 51.85/15.11  											| (55)  ~ (all_0_8_8 = 0)
% 51.85/15.11  											|
% 51.85/15.11  												| Equations (120) can reduce 55 to:
% 51.85/15.11  												| (59) $false
% 51.85/15.11  												|
% 51.85/15.11  												|-The branch is then unsatisfiable
% 51.85/15.11  											|-Branch two:
% 51.85/15.11  											| (120) all_0_8_8 = 0
% 51.85/15.11  											| (42) all_0_16_16 = 0
% 51.85/15.11  											|
% 51.85/15.11  												| Equations (42) can reduce 71 to:
% 51.85/15.11  												| (59) $false
% 51.85/15.11  												|
% 51.85/15.11  												|-The branch is then unsatisfiable
% 51.85/15.11  									|-Branch two:
% 51.85/15.11  									| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 51.85/15.11  									|
% 51.85/15.11  										| Applying alpha-rule on (60) yields:
% 51.85/15.11  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 51.85/15.11  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 51.85/15.11  										|
% 51.85/15.11  										| Instantiating formula (62) with all_0_15_15 and discharging atoms s(all_0_15_15) = 0, yields:
% 51.85/15.11  										| (79) $false
% 51.85/15.11  										|
% 51.85/15.11  										|-The branch is then unsatisfiable
% 51.85/15.11  								|-Branch two:
% 51.85/15.11  								| (1623)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 51.85/15.11  								|
% 51.85/15.11  									| Applying alpha-rule on (1623) yields:
% 51.85/15.11  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 51.85/15.11  									| (1625) (all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 51.85/15.11  									|
% 51.85/15.11  									+-Applying beta-rule and splitting (1584), into two cases.
% 51.85/15.11  									|-Branch one:
% 51.85/15.11  									| (1593) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20
% 51.85/15.11  									|
% 51.85/15.11  										| Applying alpha-rule on (1593) yields:
% 51.85/15.11  										| (33) all_0_18_18 = 0
% 51.85/15.11  										| (34)  ~ (all_0_20_20 = 0)
% 51.85/15.11  										| (1596) s(all_0_19_19) = 0
% 51.85/15.11  										| (1597) p(all_0_21_21) = all_0_20_20
% 51.85/15.11  										|
% 51.85/15.11  										| Instantiating formula (84) with 0, all_0_19_19 and discharging atoms s(all_0_19_19) = 0, yields:
% 51.85/15.11  										| (278)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & s(v0) = v1)
% 51.85/15.11  										|
% 51.85/15.11  										| Instantiating (278) with all_77_0_764, all_77_1_765 yields:
% 51.85/15.11  										| (1632)  ~ (all_77_0_764 = 0) & s(all_77_1_765) = all_77_0_764
% 51.85/15.11  										|
% 51.85/15.11  										| Applying alpha-rule on (1632) yields:
% 51.85/15.11  										| (1633)  ~ (all_77_0_764 = 0)
% 51.85/15.11  										| (1634) s(all_77_1_765) = all_77_0_764
% 51.85/15.11  										|
% 51.85/15.11  										| Instantiating formula (220) with all_77_0_764, all_77_1_765 and discharging atoms s(all_77_1_765) = all_77_0_764, yields:
% 51.85/15.11  										| (1635) all_77_0_764 = 0
% 51.85/15.11  										|
% 51.85/15.11  										| Equations (1635) can reduce 1633 to:
% 51.85/15.11  										| (59) $false
% 51.85/15.11  										|
% 51.85/15.11  										|-The branch is then unsatisfiable
% 51.85/15.11  									|-Branch two:
% 51.85/15.11  									| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 51.85/15.11  									|
% 51.85/15.11  										| Applying alpha-rule on (60) yields:
% 51.85/15.11  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 51.85/15.11  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 51.85/15.11  										|
% 51.85/15.11  										| Instantiating formula (61) with all_0_0_0, all_0_1_1 and discharging atoms p(all_0_1_1) = all_0_0_0, yields:
% 51.85/15.11  										| (63) all_0_0_0 = 0
% 51.85/15.11  										|
% 51.85/15.11  										| From (63) and (12) follows:
% 51.85/15.11  										| (64) p(all_0_1_1) = 0
% 51.85/15.11  										|
% 51.85/15.11  										+-Applying beta-rule and splitting (1625), into two cases.
% 51.85/15.11  										|-Branch one:
% 51.85/15.11  										| (1642) all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0
% 51.85/15.11  										|
% 51.85/15.11  											| Applying alpha-rule on (1642) yields:
% 51.85/15.11  											| (74) all_0_14_14 = 0
% 51.85/15.11  											| (71)  ~ (all_0_16_16 = 0)
% 51.85/15.11  											| (23) q(all_0_17_17) = all_0_16_16
% 51.85/15.11  											| (105) p(all_0_15_15) = 0
% 51.85/15.11  											|
% 51.85/15.11  											| Instantiating formula (1491) with all_0_16_16, all_0_17_17 and discharging atoms q(all_0_17_17) = all_0_16_16, yields:
% 51.85/15.11  											| (1613)  ~ (all_0_8_8 = 0) | all_0_16_16 = 0
% 51.85/15.11  											|
% 51.85/15.11  											+-Applying beta-rule and splitting (1613), into two cases.
% 51.85/15.11  											|-Branch one:
% 51.85/15.11  											| (55)  ~ (all_0_8_8 = 0)
% 51.85/15.11  											|
% 51.85/15.11  												| Equations (120) can reduce 55 to:
% 51.85/15.11  												| (59) $false
% 51.85/15.11  												|
% 51.85/15.11  												|-The branch is then unsatisfiable
% 51.85/15.11  											|-Branch two:
% 51.85/15.11  											| (120) all_0_8_8 = 0
% 51.85/15.11  											| (42) all_0_16_16 = 0
% 51.85/15.11  											|
% 51.85/15.11  												| Equations (42) can reduce 71 to:
% 51.85/15.11  												| (59) $false
% 51.85/15.11  												|
% 51.85/15.11  												|-The branch is then unsatisfiable
% 51.85/15.11  										|-Branch two:
% 51.85/15.11  										| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 51.85/15.11  										|
% 51.85/15.11  											| Applying alpha-rule on (76) yields:
% 51.85/15.11  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 51.85/15.11  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 51.85/15.11  											|
% 51.85/15.11  											| Instantiating formula (78) with all_0_1_1 and discharging atoms p(all_0_1_1) = 0, yields:
% 51.85/15.11  											| (79) $false
% 51.85/15.11  											|
% 51.85/15.11  											|-The branch is then unsatisfiable
% 51.85/15.11  						|-Branch two:
% 51.85/15.11  						| (209)  ~ (all_0_2_2 = 0) & r(all_0_3_3) = all_0_2_2 &  ! [v0] :  ~ (q(v0) = 0)
% 51.85/15.11  						|
% 51.85/15.11  							| Applying alpha-rule on (209) yields:
% 51.85/15.11  							| (210)  ~ (all_0_2_2 = 0)
% 51.85/15.11  							| (211) r(all_0_3_3) = all_0_2_2
% 51.85/15.11  							| (212)  ! [v0] :  ~ (q(v0) = 0)
% 51.85/15.11  							|
% 51.85/15.11  							| Instantiating formula (1496) with all_0_2_2, all_0_3_3 and discharging atoms r(all_0_3_3) = all_0_2_2, yields:
% 51.85/15.11  							| (1661)  ~ (all_0_12_12 = 0) | all_0_2_2 = 0
% 51.85/15.11  							|
% 51.85/15.11  							+-Applying beta-rule and splitting (1661), into two cases.
% 51.85/15.11  							|-Branch one:
% 51.85/15.11  							| (135)  ~ (all_0_12_12 = 0)
% 51.85/15.11  							|
% 51.85/15.11  								| Equations (66) can reduce 135 to:
% 51.85/15.11  								| (59) $false
% 51.85/15.11  								|
% 51.85/15.11  								|-The branch is then unsatisfiable
% 51.85/15.11  							|-Branch two:
% 51.85/15.11  							| (66) all_0_12_12 = 0
% 51.85/15.11  							| (39) all_0_2_2 = 0
% 51.85/15.11  							|
% 51.85/15.11  								| Equations (39) can reduce 210 to:
% 51.85/15.11  								| (59) $false
% 51.85/15.11  								|
% 51.85/15.11  								|-The branch is then unsatisfiable
% 51.85/15.11  					|-Branch two:
% 51.85/15.11  					| (1667)  ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (r(v0) = 0)
% 51.85/15.11  					|
% 51.85/15.11  						| Applying alpha-rule on (1667) yields:
% 51.85/15.11  						| (52)  ~ (all_0_10_10 = 0)
% 51.85/15.11  						| (47) s(all_0_11_11) = all_0_10_10
% 51.85/15.11  						| (221)  ! [v0] :  ~ (r(v0) = 0)
% 51.85/15.11  						|
% 51.85/15.11  						+-Applying beta-rule and splitting (17), into two cases.
% 51.85/15.11  						|-Branch one:
% 51.85/15.11  						| (38) all_0_2_2 = 0 & q(all_0_3_3) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 51.85/15.11  						|
% 51.85/15.11  							| Applying alpha-rule on (38) yields:
% 51.85/15.11  							| (39) all_0_2_2 = 0
% 51.85/15.11  							| (40) q(all_0_3_3) = 0
% 51.85/15.11  							| (41)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 51.85/15.11  							|
% 51.85/15.11  							| Instantiating formula (41) with all_0_12_12, all_0_13_13 and discharging atoms r(all_0_13_13) = all_0_12_12, yields:
% 51.85/15.11  							| (66) all_0_12_12 = 0
% 51.85/15.11  							|
% 51.85/15.11  							| From (66) and (1495) follows:
% 51.85/15.11  							| (1676) r(all_0_13_13) = 0
% 51.85/15.11  							|
% 51.85/15.11  							| Instantiating formula (221) with all_0_13_13 and discharging atoms r(all_0_13_13) = 0, yields:
% 51.85/15.11  							| (79) $false
% 51.85/15.11  							|
% 51.85/15.11  							|-The branch is then unsatisfiable
% 51.85/15.11  						|-Branch two:
% 51.85/15.11  						| (209)  ~ (all_0_2_2 = 0) & r(all_0_3_3) = all_0_2_2 &  ! [v0] :  ~ (q(v0) = 0)
% 51.85/15.11  						|
% 51.85/15.11  							| Applying alpha-rule on (209) yields:
% 51.85/15.11  							| (210)  ~ (all_0_2_2 = 0)
% 51.85/15.11  							| (211) r(all_0_3_3) = all_0_2_2
% 51.85/15.11  							| (212)  ! [v0] :  ~ (q(v0) = 0)
% 51.85/15.11  							|
% 51.85/15.11  							+-Applying beta-rule and splitting (1498), into two cases.
% 51.85/15.11  							|-Branch one:
% 51.85/15.11  							| (1509) ((all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))
% 51.85/15.11  							|
% 51.85/15.11  								| Applying alpha-rule on (1509) yields:
% 51.85/15.11  								| (1510) (all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))
% 51.85/15.11  								| (1511) (s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))))
% 51.85/15.11  								|
% 51.85/15.11  								+-Applying beta-rule and splitting (1511), into two cases.
% 51.85/15.11  								|-Branch one:
% 51.85/15.11  								| (1512) s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 51.85/15.11  								|
% 51.85/15.11  									| Applying alpha-rule on (1512) yields:
% 51.85/15.11  									| (1513) s(all_0_17_17) = all_0_16_16
% 51.85/15.11  									| (1514)  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 51.85/15.11  									| (1515)  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0))
% 51.85/15.11  									| (1516) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 51.85/15.11  									|
% 51.85/15.11  									| Instantiating formula (1514) with all_0_10_10, all_0_11_11 and discharging atoms s(all_0_11_11) = all_0_10_10, yields:
% 51.85/15.11  									| (657)  ~ (all_0_16_16 = 0) | all_0_10_10 = 0
% 51.85/15.11  									|
% 51.85/15.11  									+-Applying beta-rule and splitting (657), into two cases.
% 51.85/15.11  									|-Branch one:
% 51.85/15.11  									| (71)  ~ (all_0_16_16 = 0)
% 52.37/15.11  									|
% 52.37/15.11  										+-Applying beta-rule and splitting (1510), into two cases.
% 52.37/15.11  										|-Branch one:
% 52.37/15.11  										| (1519) all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 52.37/15.11  										|
% 52.37/15.12  											| Applying alpha-rule on (1519) yields:
% 52.37/15.12  											| (74) all_0_14_14 = 0
% 52.37/15.12  											| (1521) s(all_0_15_15) = 0
% 52.37/15.12  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 52.37/15.12  											|
% 52.37/15.12  											| Instantiating formula (1515) with all_0_15_15 and discharging atoms s(all_0_15_15) = 0, yields:
% 52.37/15.12  											| (42) all_0_16_16 = 0
% 52.37/15.12  											|
% 52.37/15.12  											| Equations (42) can reduce 71 to:
% 52.37/15.12  											| (59) $false
% 52.37/15.12  											|
% 52.37/15.12  											|-The branch is then unsatisfiable
% 52.37/15.12  										|-Branch two:
% 52.37/15.12  										| (1540)  ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0)
% 52.37/15.12  										|
% 52.37/15.12  											| Applying alpha-rule on (1540) yields:
% 52.37/15.12  											| (67)  ~ (all_0_14_14 = 0)
% 52.37/15.12  											| (475) p(all_0_15_15) = all_0_14_14
% 52.37/15.12  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 52.37/15.12  											|
% 52.37/15.12  											| Instantiating formula (13) with all_0_14_14, all_0_15_15 and discharging atoms p(all_0_15_15) = all_0_14_14, yields:
% 52.37/15.12  											| (476)  ~ (all_0_0_0 = 0) | all_0_14_14 = 0
% 52.37/15.12  											|
% 52.37/15.12  											+-Applying beta-rule and splitting (1516), into two cases.
% 52.37/15.12  											|-Branch one:
% 52.37/15.12  											| (1525) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0
% 52.37/15.12  											|
% 52.37/15.12  												| Applying alpha-rule on (1525) yields:
% 52.37/15.12  												| (33) all_0_18_18 = 0
% 52.37/15.12  												| (34)  ~ (all_0_20_20 = 0)
% 52.37/15.12  												| (1528) q(all_0_21_21) = all_0_20_20
% 52.37/15.12  												| (1529) p(all_0_19_19) = 0
% 52.37/15.12  												|
% 52.37/15.12  												+-Applying beta-rule and splitting (476), into two cases.
% 52.37/15.12  												|-Branch one:
% 52.37/15.12  												| (102)  ~ (all_0_0_0 = 0)
% 52.37/15.12  												|
% 52.37/15.12  													| Instantiating formula (14) with all_0_19_19 and discharging atoms p(all_0_19_19) = 0, yields:
% 52.37/15.12  													| (63) all_0_0_0 = 0
% 52.37/15.12  													|
% 52.37/15.12  													| Equations (63) can reduce 102 to:
% 52.37/15.12  													| (59) $false
% 52.37/15.12  													|
% 52.37/15.12  													|-The branch is then unsatisfiable
% 52.37/15.12  												|-Branch two:
% 52.37/15.12  												| (63) all_0_0_0 = 0
% 52.37/15.12  												| (74) all_0_14_14 = 0
% 52.37/15.12  												|
% 52.37/15.12  													| Equations (74) can reduce 67 to:
% 52.37/15.12  													| (59) $false
% 52.37/15.12  													|
% 52.37/15.12  													|-The branch is then unsatisfiable
% 52.37/15.12  											|-Branch two:
% 52.37/15.12  											| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 52.37/15.12  											|
% 52.37/15.12  												| Applying alpha-rule on (76) yields:
% 52.37/15.12  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 52.37/15.12  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 52.37/15.12  												|
% 52.37/15.12  												| Instantiating formula (77) with all_0_8_8, all_0_9_9 and discharging atoms q(all_0_9_9) = all_0_8_8, yields:
% 52.37/15.12  												| (120) all_0_8_8 = 0
% 52.37/15.12  												|
% 52.37/15.12  												| From (120) and (1490) follows:
% 52.37/15.12  												| (1718) q(all_0_9_9) = 0
% 52.37/15.12  												|
% 52.37/15.12  												| Instantiating formula (212) with all_0_9_9 and discharging atoms q(all_0_9_9) = 0, yields:
% 52.37/15.12  												| (79) $false
% 52.37/15.12  												|
% 52.37/15.12  												|-The branch is then unsatisfiable
% 52.37/15.12  									|-Branch two:
% 52.37/15.12  									| (42) all_0_16_16 = 0
% 52.37/15.12  									| (58) all_0_10_10 = 0
% 52.37/15.12  									|
% 52.37/15.12  										| Equations (58) can reduce 52 to:
% 52.37/15.12  										| (59) $false
% 52.37/15.12  										|
% 52.37/15.12  										|-The branch is then unsatisfiable
% 52.37/15.12  								|-Branch two:
% 52.37/15.12  								| (1545)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))
% 52.37/15.12  								|
% 52.37/15.12  									| Applying alpha-rule on (1545) yields:
% 52.37/15.12  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 52.37/15.12  									| (1547) (all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))
% 52.37/15.12  									|
% 52.37/15.12  									| Instantiating formula (84) with all_0_10_10, all_0_11_11 and discharging atoms s(all_0_11_11) = all_0_10_10, yields:
% 52.37/15.12  									| (1726)  ? [v0] :  ? [v1] : (( ~ (all_0_10_10 = 0) | ( ~ (v1 = 0) & s(v0) = v1)) & (all_0_10_10 = 0 | (v1 = 0 & s(v0) = 0)))
% 52.37/15.12  									|
% 52.37/15.12  									| Instantiating (1726) with all_60_0_766, all_60_1_767 yields:
% 52.37/15.12  									| (1727) ( ~ (all_0_10_10 = 0) | ( ~ (all_60_0_766 = 0) & s(all_60_1_767) = all_60_0_766)) & (all_0_10_10 = 0 | (all_60_0_766 = 0 & s(all_60_1_767) = 0))
% 52.37/15.12  									|
% 52.37/15.12  									| Applying alpha-rule on (1727) yields:
% 52.37/15.12  									| (1728)  ~ (all_0_10_10 = 0) | ( ~ (all_60_0_766 = 0) & s(all_60_1_767) = all_60_0_766)
% 52.37/15.12  									| (1729) all_0_10_10 = 0 | (all_60_0_766 = 0 & s(all_60_1_767) = 0)
% 52.37/15.12  									|
% 52.37/15.12  									+-Applying beta-rule and splitting (1729), into two cases.
% 52.37/15.12  									|-Branch one:
% 52.37/15.12  									| (58) all_0_10_10 = 0
% 52.37/15.12  									|
% 52.37/15.12  										| Equations (58) can reduce 52 to:
% 52.37/15.12  										| (59) $false
% 52.37/15.12  										|
% 52.37/15.12  										|-The branch is then unsatisfiable
% 52.37/15.12  									|-Branch two:
% 52.37/15.12  									| (52)  ~ (all_0_10_10 = 0)
% 52.37/15.12  									| (1733) all_60_0_766 = 0 & s(all_60_1_767) = 0
% 52.37/15.12  									|
% 52.37/15.12  										| Applying alpha-rule on (1733) yields:
% 52.37/15.12  										| (1734) all_60_0_766 = 0
% 52.37/15.12  										| (1735) s(all_60_1_767) = 0
% 52.37/15.12  										|
% 52.37/15.12  										+-Applying beta-rule and splitting (1510), into two cases.
% 52.37/15.12  										|-Branch one:
% 52.37/15.12  										| (1519) all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 52.37/15.12  										|
% 52.37/15.12  											| Applying alpha-rule on (1519) yields:
% 52.37/15.12  											| (74) all_0_14_14 = 0
% 52.37/15.12  											| (1521) s(all_0_15_15) = 0
% 52.37/15.12  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 52.37/15.12  											|
% 52.37/15.12  											| Instantiating formula (61) with all_0_0_0, all_0_1_1 and discharging atoms p(all_0_1_1) = all_0_0_0, yields:
% 52.37/15.12  											| (63) all_0_0_0 = 0
% 52.37/15.12  											|
% 52.37/15.12  											| From (63) and (12) follows:
% 52.37/15.12  											| (64) p(all_0_1_1) = 0
% 52.37/15.12  											|
% 52.37/15.12  											+-Applying beta-rule and splitting (1547), into two cases.
% 52.37/15.12  											|-Branch one:
% 52.37/15.12  											| (1563) all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 52.37/15.12  											|
% 52.37/15.12  												| Applying alpha-rule on (1563) yields:
% 52.37/15.12  												| (81) all_0_20_20 = 0
% 52.37/15.12  												| (1565) p(all_0_21_21) = 0
% 52.37/15.12  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 52.37/15.12  												|
% 52.37/15.12  												| Instantiating formula (77) with all_0_8_8, all_0_9_9 and discharging atoms q(all_0_9_9) = all_0_8_8, yields:
% 52.37/15.12  												| (120) all_0_8_8 = 0
% 52.37/15.12  												|
% 52.37/15.12  												| From (120) and (1490) follows:
% 52.37/15.12  												| (1718) q(all_0_9_9) = 0
% 52.37/15.12  												|
% 52.37/15.12  												| Instantiating formula (212) with all_0_9_9 and discharging atoms q(all_0_9_9) = 0, yields:
% 52.37/15.12  												| (79) $false
% 52.37/15.12  												|
% 52.37/15.12  												|-The branch is then unsatisfiable
% 52.37/15.12  											|-Branch two:
% 52.37/15.12  											| (1573)  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)
% 52.37/15.12  											|
% 52.37/15.12  												| Applying alpha-rule on (1573) yields:
% 52.37/15.12  												| (34)  ~ (all_0_20_20 = 0)
% 52.37/15.12  												| (1528) q(all_0_21_21) = all_0_20_20
% 52.37/15.12  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 52.37/15.12  												|
% 52.37/15.12  												| Instantiating formula (78) with all_0_1_1 and discharging atoms p(all_0_1_1) = 0, yields:
% 52.37/15.12  												| (79) $false
% 52.37/15.12  												|
% 52.37/15.12  												|-The branch is then unsatisfiable
% 52.37/15.12  										|-Branch two:
% 52.37/15.12  										| (1540)  ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0)
% 52.37/15.12  										|
% 52.37/15.12  											| Applying alpha-rule on (1540) yields:
% 52.37/15.12  											| (67)  ~ (all_0_14_14 = 0)
% 52.37/15.12  											| (475) p(all_0_15_15) = all_0_14_14
% 52.37/15.12  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 52.37/15.12  											|
% 52.37/15.12  											| Instantiating formula (62) with all_60_1_767 and discharging atoms s(all_60_1_767) = 0, yields:
% 52.37/15.12  											| (79) $false
% 52.37/15.12  											|
% 52.37/15.12  											|-The branch is then unsatisfiable
% 52.37/15.12  							|-Branch two:
% 52.37/15.12  							| (1583) ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))
% 52.37/15.12  							|
% 52.37/15.12  								| Applying alpha-rule on (1583) yields:
% 52.37/15.12  								| (1584) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))
% 52.37/15.12  								| (1585) (s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))
% 52.37/15.12  								|
% 52.37/15.12  								+-Applying beta-rule and splitting (1585), into two cases.
% 52.37/15.12  								|-Branch one:
% 52.37/15.12  								| (1586) s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))
% 52.37/15.12  								|
% 52.37/15.12  									| Applying alpha-rule on (1586) yields:
% 52.37/15.12  									| (1587) s(all_0_15_15) = all_0_14_14
% 52.37/15.12  									| (1588)  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 52.37/15.12  									| (1589)  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0))
% 52.37/15.12  									| (1590) (all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0))
% 52.37/15.13  									|
% 52.37/15.13  									| Instantiating formula (1588) with all_0_10_10, all_0_11_11 and discharging atoms s(all_0_11_11) = all_0_10_10, yields:
% 52.37/15.13  									| (1767)  ~ (all_0_14_14 = 0) | all_0_10_10 = 0
% 52.37/15.13  									|
% 52.37/15.13  									+-Applying beta-rule and splitting (1767), into two cases.
% 52.37/15.13  									|-Branch one:
% 52.37/15.13  									| (67)  ~ (all_0_14_14 = 0)
% 52.37/15.13  									|
% 52.37/15.13  										+-Applying beta-rule and splitting (1584), into two cases.
% 52.37/15.13  										|-Branch one:
% 52.37/15.13  										| (1593) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20
% 52.37/15.13  										|
% 52.37/15.13  											| Applying alpha-rule on (1593) yields:
% 52.37/15.13  											| (33) all_0_18_18 = 0
% 52.37/15.13  											| (34)  ~ (all_0_20_20 = 0)
% 52.37/15.13  											| (1596) s(all_0_19_19) = 0
% 52.37/15.13  											| (1597) p(all_0_21_21) = all_0_20_20
% 52.37/15.13  											|
% 52.37/15.13  											| Instantiating formula (1589) with all_0_19_19 and discharging atoms s(all_0_19_19) = 0, yields:
% 52.37/15.13  											| (74) all_0_14_14 = 0
% 52.37/15.13  											|
% 52.37/15.13  											| Equations (74) can reduce 67 to:
% 52.37/15.13  											| (59) $false
% 52.37/15.13  											|
% 52.37/15.13  											|-The branch is then unsatisfiable
% 52.37/15.13  										|-Branch two:
% 52.37/15.13  										| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 52.37/15.13  										|
% 52.37/15.13  											| Applying alpha-rule on (60) yields:
% 52.37/15.13  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 52.37/15.13  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 52.37/15.13  											|
% 52.37/15.13  											| Instantiating formula (61) with all_0_0_0, all_0_1_1 and discharging atoms p(all_0_1_1) = all_0_0_0, yields:
% 52.37/15.13  											| (63) all_0_0_0 = 0
% 52.37/15.13  											|
% 52.37/15.13  											| From (63) and (12) follows:
% 52.37/15.13  											| (64) p(all_0_1_1) = 0
% 52.37/15.13  											|
% 52.37/15.13  											+-Applying beta-rule and splitting (1590), into two cases.
% 52.37/15.13  											|-Branch one:
% 52.37/15.13  											| (1599) all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 52.37/15.13  											|
% 52.37/15.13  												| Applying alpha-rule on (1599) yields:
% 52.37/15.13  												| (42) all_0_16_16 = 0
% 52.37/15.13  												| (1601) p(all_0_17_17) = 0
% 52.37/15.13  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 52.37/15.13  												|
% 52.37/15.13  												| Instantiating formula (77) with all_0_8_8, all_0_9_9 and discharging atoms q(all_0_9_9) = all_0_8_8, yields:
% 52.37/15.13  												| (120) all_0_8_8 = 0
% 52.37/15.13  												|
% 52.37/15.13  												| From (120) and (1490) follows:
% 52.37/15.13  												| (1718) q(all_0_9_9) = 0
% 52.37/15.13  												|
% 52.37/15.13  												| Instantiating formula (212) with all_0_9_9 and discharging atoms q(all_0_9_9) = 0, yields:
% 52.37/15.13  												| (79) $false
% 52.37/15.13  												|
% 52.37/15.13  												|-The branch is then unsatisfiable
% 52.37/15.13  											|-Branch two:
% 52.37/15.13  											| (1609)  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)
% 52.37/15.13  											|
% 52.37/15.13  												| Applying alpha-rule on (1609) yields:
% 52.37/15.13  												| (71)  ~ (all_0_16_16 = 0)
% 52.37/15.13  												| (23) q(all_0_17_17) = all_0_16_16
% 52.37/15.13  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 52.37/15.13  												|
% 52.37/15.13  												| Instantiating formula (78) with all_0_1_1 and discharging atoms p(all_0_1_1) = 0, yields:
% 52.37/15.13  												| (79) $false
% 52.37/15.13  												|
% 52.37/15.13  												|-The branch is then unsatisfiable
% 52.37/15.13  									|-Branch two:
% 52.37/15.13  									| (74) all_0_14_14 = 0
% 52.37/15.13  									| (58) all_0_10_10 = 0
% 52.37/15.13  									|
% 52.37/15.13  										| Equations (58) can reduce 52 to:
% 52.37/15.13  										| (59) $false
% 52.37/15.13  										|
% 52.37/15.13  										|-The branch is then unsatisfiable
% 52.37/15.13  								|-Branch two:
% 52.37/15.13  								| (1623)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 52.37/15.13  								|
% 52.37/15.13  									| Applying alpha-rule on (1623) yields:
% 52.37/15.13  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 52.37/15.13  									| (1625) (all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 52.37/15.13  									|
% 52.37/15.13  									| Instantiating formula (84) with all_0_10_10, all_0_11_11 and discharging atoms s(all_0_11_11) = all_0_10_10, yields:
% 52.37/15.13  									| (1726)  ? [v0] :  ? [v1] : (( ~ (all_0_10_10 = 0) | ( ~ (v1 = 0) & s(v0) = v1)) & (all_0_10_10 = 0 | (v1 = 0 & s(v0) = 0)))
% 52.37/15.13  									|
% 52.37/15.13  									| Instantiating (1726) with all_60_0_776, all_60_1_777 yields:
% 52.37/15.13  									| (1800) ( ~ (all_0_10_10 = 0) | ( ~ (all_60_0_776 = 0) & s(all_60_1_777) = all_60_0_776)) & (all_0_10_10 = 0 | (all_60_0_776 = 0 & s(all_60_1_777) = 0))
% 52.37/15.13  									|
% 52.37/15.13  									| Applying alpha-rule on (1800) yields:
% 52.37/15.13  									| (1801)  ~ (all_0_10_10 = 0) | ( ~ (all_60_0_776 = 0) & s(all_60_1_777) = all_60_0_776)
% 52.37/15.13  									| (1802) all_0_10_10 = 0 | (all_60_0_776 = 0 & s(all_60_1_777) = 0)
% 52.37/15.13  									|
% 52.37/15.13  									+-Applying beta-rule and splitting (1802), into two cases.
% 52.37/15.13  									|-Branch one:
% 52.37/15.13  									| (58) all_0_10_10 = 0
% 52.37/15.13  									|
% 52.37/15.13  										| Equations (58) can reduce 52 to:
% 52.37/15.13  										| (59) $false
% 52.37/15.13  										|
% 52.37/15.13  										|-The branch is then unsatisfiable
% 52.37/15.13  									|-Branch two:
% 52.37/15.13  									| (52)  ~ (all_0_10_10 = 0)
% 52.37/15.13  									| (1806) all_60_0_776 = 0 & s(all_60_1_777) = 0
% 52.37/15.13  									|
% 52.37/15.13  										| Applying alpha-rule on (1806) yields:
% 52.37/15.13  										| (1807) all_60_0_776 = 0
% 52.37/15.13  										| (1808) s(all_60_1_777) = 0
% 52.37/15.13  										|
% 52.37/15.13  										+-Applying beta-rule and splitting (1584), into two cases.
% 52.37/15.13  										|-Branch one:
% 52.37/15.13  										| (1593) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20
% 52.37/15.13  										|
% 52.37/15.13  											| Applying alpha-rule on (1593) yields:
% 52.37/15.13  											| (33) all_0_18_18 = 0
% 52.37/15.13  											| (34)  ~ (all_0_20_20 = 0)
% 52.37/15.13  											| (1596) s(all_0_19_19) = 0
% 52.37/15.13  											| (1597) p(all_0_21_21) = all_0_20_20
% 52.37/15.13  											|
% 52.37/15.13  											| Instantiating formula (13) with all_0_20_20, all_0_21_21 and discharging atoms p(all_0_21_21) = all_0_20_20, yields:
% 52.37/15.13  											| (1598)  ~ (all_0_0_0 = 0) | all_0_20_20 = 0
% 52.37/15.13  											|
% 52.37/15.13  											+-Applying beta-rule and splitting (1598), into two cases.
% 52.37/15.13  											|-Branch one:
% 52.37/15.13  											| (102)  ~ (all_0_0_0 = 0)
% 52.37/15.13  											|
% 52.37/15.13  												+-Applying beta-rule and splitting (1625), into two cases.
% 52.37/15.13  												|-Branch one:
% 52.37/15.13  												| (1642) all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0
% 52.37/15.13  												|
% 52.37/15.13  													| Applying alpha-rule on (1642) yields:
% 52.37/15.13  													| (74) all_0_14_14 = 0
% 52.37/15.13  													| (71)  ~ (all_0_16_16 = 0)
% 52.37/15.13  													| (23) q(all_0_17_17) = all_0_16_16
% 52.37/15.13  													| (105) p(all_0_15_15) = 0
% 52.37/15.13  													|
% 52.37/15.13  													| Instantiating formula (14) with all_0_15_15 and discharging atoms p(all_0_15_15) = 0, yields:
% 52.37/15.13  													| (63) all_0_0_0 = 0
% 52.37/15.13  													|
% 52.37/15.13  													| Equations (63) can reduce 102 to:
% 52.37/15.13  													| (59) $false
% 52.37/15.13  													|
% 52.37/15.13  													|-The branch is then unsatisfiable
% 52.37/15.13  												|-Branch two:
% 52.37/15.13  												| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 52.37/15.13  												|
% 52.37/15.13  													| Applying alpha-rule on (76) yields:
% 52.37/15.13  													| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 52.37/15.13  													| (78)  ! [v0] :  ~ (p(v0) = 0)
% 52.37/15.13  													|
% 52.37/15.13  													| Instantiating formula (77) with all_0_8_8, all_0_9_9 and discharging atoms q(all_0_9_9) = all_0_8_8, yields:
% 52.37/15.13  													| (120) all_0_8_8 = 0
% 52.37/15.13  													|
% 52.37/15.13  													| From (120) and (1490) follows:
% 52.37/15.13  													| (1718) q(all_0_9_9) = 0
% 52.37/15.13  													|
% 52.37/15.13  													| Instantiating formula (212) with all_0_9_9 and discharging atoms q(all_0_9_9) = 0, yields:
% 52.37/15.13  													| (79) $false
% 52.37/15.13  													|
% 52.37/15.13  													|-The branch is then unsatisfiable
% 52.37/15.13  											|-Branch two:
% 52.37/15.13  											| (63) all_0_0_0 = 0
% 52.37/15.13  											| (81) all_0_20_20 = 0
% 52.37/15.13  											|
% 52.37/15.13  												| Equations (81) can reduce 34 to:
% 52.37/15.13  												| (59) $false
% 52.37/15.13  												|
% 52.37/15.13  												|-The branch is then unsatisfiable
% 52.37/15.13  										|-Branch two:
% 52.37/15.13  										| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 52.37/15.13  										|
% 52.37/15.13  											| Applying alpha-rule on (60) yields:
% 52.37/15.13  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 52.37/15.13  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 52.37/15.13  											|
% 52.37/15.13  											| Instantiating formula (62) with all_60_1_777 and discharging atoms s(all_60_1_777) = 0, yields:
% 52.37/15.13  											| (79) $false
% 52.37/15.13  											|
% 52.37/15.13  											|-The branch is then unsatisfiable
% 52.37/15.13  				|-Branch two:
% 52.37/15.13  				| (1836)  ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))
% 52.37/15.13  				|
% 52.37/15.13  					| Applying alpha-rule on (1836) yields:
% 52.37/15.13  					| (370)  ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0))))
% 52.37/15.14  					| (1838) (((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))
% 52.37/15.14  					|
% 52.37/15.14  					+-Applying beta-rule and splitting (1493), into two cases.
% 52.37/15.14  					|-Branch one:
% 52.37/15.14  					| (1499) all_0_10_10 = 0 & r(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))
% 52.37/15.14  					|
% 52.37/15.14  						| Applying alpha-rule on (1499) yields:
% 52.37/15.14  						| (58) all_0_10_10 = 0
% 52.37/15.14  						| (1501) r(all_0_11_11) = 0
% 52.37/15.14  						| (220)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))
% 52.37/15.14  						|
% 52.37/15.14  						| Instantiating formula (370) with 0, all_0_11_11 and discharging atoms r(all_0_11_11) = 0, yields:
% 52.37/15.14  						| (377)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & r(v0) = v1)
% 52.37/15.14  						|
% 52.37/15.14  						| Instantiating (377) with all_45_0_786, all_45_1_787 yields:
% 52.37/15.14  						| (1844)  ~ (all_45_0_786 = 0) & r(all_45_1_787) = all_45_0_786
% 52.37/15.14  						|
% 52.37/15.14  						| Applying alpha-rule on (1844) yields:
% 52.37/15.14  						| (1845)  ~ (all_45_0_786 = 0)
% 52.37/15.14  						| (1846) r(all_45_1_787) = all_45_0_786
% 52.37/15.14  						|
% 52.37/15.14  						+-Applying beta-rule and splitting (17), into two cases.
% 52.37/15.14  						|-Branch one:
% 52.37/15.14  						| (38) all_0_2_2 = 0 & q(all_0_3_3) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 52.37/15.14  						|
% 52.37/15.14  							| Applying alpha-rule on (38) yields:
% 52.37/15.14  							| (39) all_0_2_2 = 0
% 52.37/15.14  							| (40) q(all_0_3_3) = 0
% 52.37/15.14  							| (41)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 52.37/15.14  							|
% 52.37/15.14  							| Instantiating formula (41) with all_45_0_786, all_45_1_787 and discharging atoms r(all_45_1_787) = all_45_0_786, yields:
% 52.37/15.14  							| (1851) all_45_0_786 = 0
% 52.37/15.14  							|
% 52.37/15.14  							| Equations (1851) can reduce 1845 to:
% 52.37/15.14  							| (59) $false
% 52.37/15.14  							|
% 52.37/15.14  							|-The branch is then unsatisfiable
% 52.37/15.14  						|-Branch two:
% 52.37/15.14  						| (209)  ~ (all_0_2_2 = 0) & r(all_0_3_3) = all_0_2_2 &  ! [v0] :  ~ (q(v0) = 0)
% 52.37/15.14  						|
% 52.37/15.14  							| Applying alpha-rule on (209) yields:
% 52.37/15.14  							| (210)  ~ (all_0_2_2 = 0)
% 52.37/15.14  							| (211) r(all_0_3_3) = all_0_2_2
% 52.37/15.14  							| (212)  ! [v0] :  ~ (q(v0) = 0)
% 52.37/15.14  							|
% 52.37/15.14  							+-Applying beta-rule and splitting (1838), into two cases.
% 52.37/15.14  							|-Branch one:
% 52.37/15.14  							| (1857) ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))
% 52.37/15.14  							|
% 52.37/15.14  								| Applying alpha-rule on (1857) yields:
% 52.37/15.14  								| (469) (all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))
% 52.37/15.14  								| (1511) (s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))))
% 52.37/15.14  								|
% 52.37/15.14  								+-Applying beta-rule and splitting (469), into two cases.
% 52.37/15.14  								|-Branch one:
% 52.37/15.14  								| (471) all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14
% 52.37/15.14  								|
% 52.37/15.14  									| Applying alpha-rule on (471) yields:
% 52.37/15.14  									| (66) all_0_12_12 = 0
% 52.37/15.14  									| (67)  ~ (all_0_14_14 = 0)
% 52.37/15.14  									| (310) s(all_0_13_13) = 0
% 52.37/15.14  									| (475) p(all_0_15_15) = all_0_14_14
% 52.37/15.14  									|
% 52.37/15.14  									| Instantiating formula (13) with all_0_14_14, all_0_15_15 and discharging atoms p(all_0_15_15) = all_0_14_14, yields:
% 52.37/15.14  									| (476)  ~ (all_0_0_0 = 0) | all_0_14_14 = 0
% 52.37/15.14  									|
% 52.37/15.14  									+-Applying beta-rule and splitting (1511), into two cases.
% 52.37/15.14  									|-Branch one:
% 52.37/15.14  									| (1512) s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 52.37/15.14  									|
% 52.37/15.14  										| Applying alpha-rule on (1512) yields:
% 52.37/15.14  										| (1513) s(all_0_17_17) = all_0_16_16
% 52.37/15.14  										| (1514)  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 52.37/15.14  										| (1515)  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0))
% 52.37/15.14  										| (1516) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 52.37/15.14  										|
% 52.37/15.14  										+-Applying beta-rule and splitting (476), into two cases.
% 52.37/15.14  										|-Branch one:
% 52.37/15.14  										| (102)  ~ (all_0_0_0 = 0)
% 52.37/15.14  										|
% 52.37/15.14  											+-Applying beta-rule and splitting (1516), into two cases.
% 52.37/15.14  											|-Branch one:
% 52.37/15.14  											| (1525) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0
% 52.37/15.14  											|
% 52.37/15.14  												| Applying alpha-rule on (1525) yields:
% 52.37/15.14  												| (33) all_0_18_18 = 0
% 52.37/15.14  												| (34)  ~ (all_0_20_20 = 0)
% 52.37/15.14  												| (1528) q(all_0_21_21) = all_0_20_20
% 52.37/15.14  												| (1529) p(all_0_19_19) = 0
% 52.37/15.14  												|
% 52.37/15.14  												| Instantiating formula (14) with all_0_19_19 and discharging atoms p(all_0_19_19) = 0, yields:
% 52.37/15.14  												| (63) all_0_0_0 = 0
% 52.37/15.14  												|
% 52.37/15.14  												| Equations (63) can reduce 102 to:
% 52.37/15.14  												| (59) $false
% 52.37/15.14  												|
% 52.37/15.14  												|-The branch is then unsatisfiable
% 52.37/15.14  											|-Branch two:
% 52.37/15.14  											| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 52.37/15.14  											|
% 52.37/15.14  												| Applying alpha-rule on (76) yields:
% 52.37/15.14  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 52.37/15.14  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 52.37/15.14  												|
% 52.37/15.14  												| Instantiating formula (77) with all_0_8_8, all_0_9_9 and discharging atoms q(all_0_9_9) = all_0_8_8, yields:
% 52.37/15.14  												| (120) all_0_8_8 = 0
% 52.37/15.14  												|
% 52.37/15.14  												| From (120) and (1490) follows:
% 52.37/15.14  												| (1718) q(all_0_9_9) = 0
% 52.37/15.14  												|
% 52.37/15.14  												| Instantiating formula (212) with all_0_9_9 and discharging atoms q(all_0_9_9) = 0, yields:
% 52.37/15.14  												| (79) $false
% 52.37/15.14  												|
% 52.37/15.14  												|-The branch is then unsatisfiable
% 52.37/15.14  										|-Branch two:
% 52.37/15.14  										| (63) all_0_0_0 = 0
% 52.37/15.14  										| (74) all_0_14_14 = 0
% 52.37/15.14  										|
% 52.37/15.14  											| Equations (74) can reduce 67 to:
% 52.37/15.14  											| (59) $false
% 52.37/15.14  											|
% 52.37/15.14  											|-The branch is then unsatisfiable
% 52.37/15.14  									|-Branch two:
% 52.37/15.14  									| (1545)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))
% 52.37/15.14  									|
% 52.37/15.14  										| Applying alpha-rule on (1545) yields:
% 52.37/15.14  										| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 52.37/15.14  										| (1547) (all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))
% 52.37/15.14  										|
% 52.37/15.14  										| Instantiating formula (84) with 0, all_0_13_13 and discharging atoms s(all_0_13_13) = 0, yields:
% 52.37/15.14  										| (278)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & s(v0) = v1)
% 52.37/15.14  										|
% 52.37/15.14  										| Instantiating (278) with all_283_0_898, all_283_1_899 yields:
% 52.37/15.14  										| (1892)  ~ (all_283_0_898 = 0) & s(all_283_1_899) = all_283_0_898
% 52.37/15.14  										|
% 52.37/15.14  										| Applying alpha-rule on (1892) yields:
% 52.37/15.14  										| (1893)  ~ (all_283_0_898 = 0)
% 52.37/15.14  										| (1894) s(all_283_1_899) = all_283_0_898
% 52.37/15.14  										|
% 52.37/15.14  										| Instantiating formula (220) with all_283_0_898, all_283_1_899 and discharging atoms s(all_283_1_899) = all_283_0_898, yields:
% 52.37/15.14  										| (1895) all_283_0_898 = 0
% 52.37/15.14  										|
% 52.37/15.14  										| Equations (1895) can reduce 1893 to:
% 52.37/15.14  										| (59) $false
% 52.37/15.14  										|
% 52.37/15.14  										|-The branch is then unsatisfiable
% 52.37/15.15  								|-Branch two:
% 52.37/15.15  								| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 52.37/15.15  								|
% 52.37/15.15  									| Applying alpha-rule on (60) yields:
% 52.37/15.15  									| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 52.37/15.15  									| (62)  ! [v0] :  ~ (s(v0) = 0)
% 52.37/15.15  									|
% 52.37/15.15  									| Instantiating formula (61) with all_0_0_0, all_0_1_1 and discharging atoms p(all_0_1_1) = all_0_0_0, yields:
% 52.37/15.15  									| (63) all_0_0_0 = 0
% 52.37/15.15  									|
% 52.37/15.15  									| From (63) and (12) follows:
% 52.37/15.15  									| (64) p(all_0_1_1) = 0
% 52.37/15.15  									|
% 52.37/15.15  									+-Applying beta-rule and splitting (1511), into two cases.
% 52.37/15.15  									|-Branch one:
% 52.37/15.15  									| (1512) s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 52.37/15.15  									|
% 52.37/15.15  										| Applying alpha-rule on (1512) yields:
% 52.37/15.15  										| (1513) s(all_0_17_17) = all_0_16_16
% 52.37/15.15  										| (1514)  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 52.37/15.15  										| (1515)  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0))
% 52.37/15.15  										| (1516) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 52.37/15.15  										|
% 52.37/15.15  										| Instantiating formula (220) with all_0_16_16, all_0_17_17 and discharging atoms s(all_0_17_17) = all_0_16_16, yields:
% 52.37/15.15  										| (42) all_0_16_16 = 0
% 52.37/15.15  										|
% 52.37/15.15  										| From (42) and (1513) follows:
% 52.37/15.15  										| (1518) s(all_0_17_17) = 0
% 52.37/15.15  										|
% 52.37/15.15  										| Instantiating formula (62) with all_0_17_17 and discharging atoms s(all_0_17_17) = 0, yields:
% 52.37/15.15  										| (79) $false
% 52.37/15.15  										|
% 52.37/15.15  										|-The branch is then unsatisfiable
% 52.37/15.15  									|-Branch two:
% 52.37/15.15  									| (1545)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))
% 52.37/15.15  									|
% 52.37/15.15  										| Applying alpha-rule on (1545) yields:
% 52.37/15.15  										| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 52.37/15.15  										| (1547) (all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))
% 52.37/15.15  										|
% 52.37/15.15  										+-Applying beta-rule and splitting (1547), into two cases.
% 52.37/15.15  										|-Branch one:
% 52.37/15.15  										| (1563) all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 52.37/15.15  										|
% 52.37/15.15  											| Applying alpha-rule on (1563) yields:
% 52.37/15.15  											| (81) all_0_20_20 = 0
% 52.37/15.15  											| (1565) p(all_0_21_21) = 0
% 52.37/15.15  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 52.37/15.15  											|
% 52.37/15.15  											| Instantiating formula (77) with all_0_8_8, all_0_9_9 and discharging atoms q(all_0_9_9) = all_0_8_8, yields:
% 52.37/15.15  											| (120) all_0_8_8 = 0
% 52.37/15.15  											|
% 52.37/15.15  											| From (120) and (1490) follows:
% 52.37/15.15  											| (1718) q(all_0_9_9) = 0
% 52.37/15.15  											|
% 52.37/15.15  											| Instantiating formula (212) with all_0_9_9 and discharging atoms q(all_0_9_9) = 0, yields:
% 52.37/15.15  											| (79) $false
% 52.37/15.15  											|
% 52.37/15.15  											|-The branch is then unsatisfiable
% 52.37/15.15  										|-Branch two:
% 52.37/15.15  										| (1573)  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)
% 52.37/15.15  										|
% 52.37/15.15  											| Applying alpha-rule on (1573) yields:
% 52.37/15.15  											| (34)  ~ (all_0_20_20 = 0)
% 52.37/15.15  											| (1528) q(all_0_21_21) = all_0_20_20
% 52.37/15.15  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 52.37/15.15  											|
% 52.37/15.15  											| Instantiating formula (78) with all_0_1_1 and discharging atoms p(all_0_1_1) = 0, yields:
% 52.37/15.15  											| (79) $false
% 52.37/15.15  											|
% 52.37/15.15  											|-The branch is then unsatisfiable
% 52.37/15.15  							|-Branch two:
% 52.37/15.15  							| (1925) ((all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))
% 52.37/15.15  							|
% 52.37/15.15  								| Applying alpha-rule on (1925) yields:
% 52.37/15.15  								| (1926) (all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))
% 52.37/15.15  								| (1927) (s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))
% 52.37/15.15  								|
% 52.37/15.15  								+-Applying beta-rule and splitting (1926), into two cases.
% 52.37/15.15  								|-Branch one:
% 52.37/15.15  								| (1928) all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 52.37/15.15  								|
% 52.37/15.15  									| Applying alpha-rule on (1928) yields:
% 52.37/15.15  									| (42) all_0_16_16 = 0
% 52.37/15.15  									| (1518) s(all_0_17_17) = 0
% 52.37/15.15  									| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 52.37/15.15  									|
% 52.37/15.15  									| Instantiating formula (61) with all_0_0_0, all_0_1_1 and discharging atoms p(all_0_1_1) = all_0_0_0, yields:
% 52.37/15.15  									| (63) all_0_0_0 = 0
% 52.37/15.15  									|
% 52.37/15.15  									| From (63) and (12) follows:
% 52.37/15.15  									| (64) p(all_0_1_1) = 0
% 52.37/15.15  									|
% 52.37/15.15  									+-Applying beta-rule and splitting (1927), into two cases.
% 52.37/15.15  									|-Branch one:
% 52.37/15.15  									| (1934) s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))
% 52.37/15.15  									|
% 52.37/15.15  										| Applying alpha-rule on (1934) yields:
% 52.37/15.15  										| (1935) s(all_0_19_19) = all_0_18_18
% 52.37/15.15  										| (1936)  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 52.37/15.15  										| (1937)  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0))
% 52.37/15.15  										| (1547) (all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))
% 52.37/15.15  										|
% 52.37/15.15  										+-Applying beta-rule and splitting (1547), into two cases.
% 52.37/15.15  										|-Branch one:
% 52.37/15.15  										| (1563) all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 52.37/15.15  										|
% 52.37/15.15  											| Applying alpha-rule on (1563) yields:
% 52.37/15.15  											| (81) all_0_20_20 = 0
% 52.37/15.15  											| (1565) p(all_0_21_21) = 0
% 52.37/15.15  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 52.37/15.15  											|
% 52.37/15.15  											| Instantiating formula (77) with all_0_8_8, all_0_9_9 and discharging atoms q(all_0_9_9) = all_0_8_8, yields:
% 52.37/15.15  											| (120) all_0_8_8 = 0
% 52.37/15.15  											|
% 52.37/15.15  											| From (120) and (1490) follows:
% 52.37/15.15  											| (1718) q(all_0_9_9) = 0
% 52.37/15.15  											|
% 52.37/15.15  											| Instantiating formula (212) with all_0_9_9 and discharging atoms q(all_0_9_9) = 0, yields:
% 52.37/15.15  											| (79) $false
% 52.37/15.15  											|
% 52.37/15.15  											|-The branch is then unsatisfiable
% 52.37/15.15  										|-Branch two:
% 52.37/15.15  										| (1573)  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)
% 52.37/15.15  										|
% 52.37/15.15  											| Applying alpha-rule on (1573) yields:
% 52.37/15.15  											| (34)  ~ (all_0_20_20 = 0)
% 52.37/15.15  											| (1528) q(all_0_21_21) = all_0_20_20
% 52.37/15.15  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 52.37/15.15  											|
% 52.37/15.15  											| Instantiating formula (78) with all_0_1_1 and discharging atoms p(all_0_1_1) = 0, yields:
% 52.37/15.15  											| (79) $false
% 52.37/15.15  											|
% 52.37/15.15  											|-The branch is then unsatisfiable
% 52.37/15.15  									|-Branch two:
% 52.37/15.15  									| (1951)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 52.37/15.15  									|
% 52.37/15.15  										| Applying alpha-rule on (1951) yields:
% 52.37/15.15  										| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 52.37/15.15  										| (1516) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 52.37/15.15  										|
% 52.37/15.15  										| Instantiating formula (84) with 0, all_0_17_17 and discharging atoms s(all_0_17_17) = 0, yields:
% 52.37/15.15  										| (278)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & s(v0) = v1)
% 52.37/15.15  										|
% 52.37/15.15  										| Instantiating (278) with all_284_0_1018, all_284_1_1019 yields:
% 52.37/15.15  										| (1955)  ~ (all_284_0_1018 = 0) & s(all_284_1_1019) = all_284_0_1018
% 52.37/15.15  										|
% 52.37/15.16  										| Applying alpha-rule on (1955) yields:
% 52.37/15.16  										| (1956)  ~ (all_284_0_1018 = 0)
% 52.37/15.16  										| (1957) s(all_284_1_1019) = all_284_0_1018
% 52.37/15.16  										|
% 52.37/15.16  										| Instantiating formula (220) with all_284_0_1018, all_284_1_1019 and discharging atoms s(all_284_1_1019) = all_284_0_1018, yields:
% 52.37/15.16  										| (1958) all_284_0_1018 = 0
% 52.37/15.16  										|
% 52.37/15.16  										| Equations (1958) can reduce 1956 to:
% 52.37/15.16  										| (59) $false
% 52.37/15.16  										|
% 52.37/15.16  										|-The branch is then unsatisfiable
% 52.37/15.16  								|-Branch two:
% 52.37/15.16  								| (1960)  ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0)
% 52.37/15.16  								|
% 52.37/15.16  									| Applying alpha-rule on (1960) yields:
% 52.37/15.16  									| (71)  ~ (all_0_16_16 = 0)
% 52.37/15.16  									| (1962) p(all_0_17_17) = all_0_16_16
% 52.37/15.16  									| (62)  ! [v0] :  ~ (s(v0) = 0)
% 52.37/15.16  									|
% 52.37/15.16  									| Instantiating formula (13) with all_0_16_16, all_0_17_17 and discharging atoms p(all_0_17_17) = all_0_16_16, yields:
% 52.37/15.16  									| (1964)  ~ (all_0_0_0 = 0) | all_0_16_16 = 0
% 52.37/15.16  									|
% 52.37/15.16  									+-Applying beta-rule and splitting (1927), into two cases.
% 52.37/15.16  									|-Branch one:
% 52.37/15.16  									| (1934) s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))
% 52.37/15.16  									|
% 52.37/15.16  										| Applying alpha-rule on (1934) yields:
% 52.37/15.16  										| (1935) s(all_0_19_19) = all_0_18_18
% 52.37/15.16  										| (1936)  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 52.37/15.16  										| (1937)  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0))
% 52.37/15.16  										| (1547) (all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))
% 52.37/15.16  										|
% 52.37/15.16  										| Instantiating formula (220) with all_0_18_18, all_0_19_19 and discharging atoms s(all_0_19_19) = all_0_18_18, yields:
% 52.37/15.16  										| (33) all_0_18_18 = 0
% 52.37/15.16  										|
% 52.37/15.16  										| From (33) and (1935) follows:
% 52.37/15.16  										| (1596) s(all_0_19_19) = 0
% 52.37/15.16  										|
% 52.37/15.16  										| Instantiating formula (62) with all_0_19_19 and discharging atoms s(all_0_19_19) = 0, yields:
% 52.37/15.16  										| (79) $false
% 52.37/15.16  										|
% 52.37/15.16  										|-The branch is then unsatisfiable
% 52.37/15.16  									|-Branch two:
% 52.37/15.16  									| (1951)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 52.37/15.16  									|
% 52.37/15.16  										| Applying alpha-rule on (1951) yields:
% 52.37/15.16  										| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 52.37/15.16  										| (1516) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 52.37/15.16  										|
% 52.37/15.16  										+-Applying beta-rule and splitting (1964), into two cases.
% 52.37/15.16  										|-Branch one:
% 52.37/15.16  										| (102)  ~ (all_0_0_0 = 0)
% 52.37/15.16  										|
% 52.37/15.16  											+-Applying beta-rule and splitting (1516), into two cases.
% 52.37/15.16  											|-Branch one:
% 52.37/15.16  											| (1525) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0
% 52.37/15.16  											|
% 52.37/15.16  												| Applying alpha-rule on (1525) yields:
% 52.37/15.16  												| (33) all_0_18_18 = 0
% 52.37/15.16  												| (34)  ~ (all_0_20_20 = 0)
% 52.37/15.16  												| (1528) q(all_0_21_21) = all_0_20_20
% 52.37/15.16  												| (1529) p(all_0_19_19) = 0
% 52.37/15.16  												|
% 52.37/15.16  												| Instantiating formula (14) with all_0_19_19 and discharging atoms p(all_0_19_19) = 0, yields:
% 52.37/15.16  												| (63) all_0_0_0 = 0
% 52.37/15.16  												|
% 52.37/15.16  												| Equations (63) can reduce 102 to:
% 52.37/15.16  												| (59) $false
% 52.37/15.16  												|
% 52.37/15.16  												|-The branch is then unsatisfiable
% 52.37/15.16  											|-Branch two:
% 52.37/15.16  											| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 52.37/15.16  											|
% 52.37/15.16  												| Applying alpha-rule on (76) yields:
% 52.37/15.16  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 52.37/15.16  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 52.37/15.16  												|
% 52.37/15.16  												| Instantiating formula (77) with all_0_8_8, all_0_9_9 and discharging atoms q(all_0_9_9) = all_0_8_8, yields:
% 52.37/15.16  												| (120) all_0_8_8 = 0
% 52.37/15.16  												|
% 52.37/15.16  												| From (120) and (1490) follows:
% 52.37/15.16  												| (1718) q(all_0_9_9) = 0
% 52.37/15.16  												|
% 52.37/15.16  												| Instantiating formula (212) with all_0_9_9 and discharging atoms q(all_0_9_9) = 0, yields:
% 52.37/15.16  												| (79) $false
% 52.37/15.16  												|
% 52.37/15.16  												|-The branch is then unsatisfiable
% 52.37/15.16  										|-Branch two:
% 52.37/15.16  										| (63) all_0_0_0 = 0
% 52.37/15.16  										| (42) all_0_16_16 = 0
% 52.37/15.16  										|
% 52.37/15.16  											| Equations (42) can reduce 71 to:
% 52.37/15.16  											| (59) $false
% 52.37/15.16  											|
% 52.37/15.16  											|-The branch is then unsatisfiable
% 52.37/15.16  					|-Branch two:
% 52.37/15.16  					| (1667)  ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (r(v0) = 0)
% 52.37/15.16  					|
% 52.37/15.16  						| Applying alpha-rule on (1667) yields:
% 52.37/15.16  						| (52)  ~ (all_0_10_10 = 0)
% 52.37/15.16  						| (47) s(all_0_11_11) = all_0_10_10
% 52.37/15.16  						| (221)  ! [v0] :  ~ (r(v0) = 0)
% 52.37/15.16  						|
% 52.37/15.16  						+-Applying beta-rule and splitting (17), into two cases.
% 52.37/15.16  						|-Branch one:
% 52.37/15.16  						| (38) all_0_2_2 = 0 & q(all_0_3_3) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 52.37/15.16  						|
% 52.37/15.16  							| Applying alpha-rule on (38) yields:
% 52.37/15.16  							| (39) all_0_2_2 = 0
% 52.37/15.16  							| (40) q(all_0_3_3) = 0
% 52.37/15.16  							| (41)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 52.37/15.16  							|
% 52.37/15.16  							| Instantiating formula (1492) with all_0_3_3 and discharging atoms q(all_0_3_3) = 0, yields:
% 52.37/15.16  							| (120) all_0_8_8 = 0
% 52.37/15.16  							|
% 52.37/15.16  							+-Applying beta-rule and splitting (1838), into two cases.
% 52.37/15.16  							|-Branch one:
% 52.37/15.16  							| (1857) ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))
% 52.37/15.16  							|
% 52.37/15.16  								| Applying alpha-rule on (1857) yields:
% 52.37/15.16  								| (469) (all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))
% 52.37/15.16  								| (1511) (s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))))
% 52.37/15.16  								|
% 52.37/15.16  								+-Applying beta-rule and splitting (1511), into two cases.
% 52.37/15.16  								|-Branch one:
% 52.37/15.16  								| (1512) s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 52.37/15.16  								|
% 52.37/15.16  									| Applying alpha-rule on (1512) yields:
% 52.37/15.16  									| (1513) s(all_0_17_17) = all_0_16_16
% 52.37/15.16  									| (1514)  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 52.37/15.16  									| (1515)  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0))
% 52.37/15.16  									| (1516) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 52.37/15.16  									|
% 52.37/15.16  									| Instantiating formula (1514) with all_0_10_10, all_0_11_11 and discharging atoms s(all_0_11_11) = all_0_10_10, yields:
% 52.37/15.16  									| (657)  ~ (all_0_16_16 = 0) | all_0_10_10 = 0
% 52.37/15.16  									|
% 52.37/15.16  									+-Applying beta-rule and splitting (657), into two cases.
% 52.37/15.16  									|-Branch one:
% 52.37/15.16  									| (71)  ~ (all_0_16_16 = 0)
% 52.37/15.16  									|
% 52.37/15.16  										+-Applying beta-rule and splitting (469), into two cases.
% 52.37/15.16  										|-Branch one:
% 52.37/15.16  										| (471) all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14
% 52.37/15.16  										|
% 52.37/15.16  											| Applying alpha-rule on (471) yields:
% 52.37/15.16  											| (66) all_0_12_12 = 0
% 52.37/15.16  											| (67)  ~ (all_0_14_14 = 0)
% 52.37/15.16  											| (310) s(all_0_13_13) = 0
% 52.37/15.16  											| (475) p(all_0_15_15) = all_0_14_14
% 52.37/15.16  											|
% 52.37/15.16  											| Instantiating formula (1515) with all_0_13_13 and discharging atoms s(all_0_13_13) = 0, yields:
% 52.37/15.16  											| (42) all_0_16_16 = 0
% 52.37/15.16  											|
% 52.37/15.16  											| Equations (42) can reduce 71 to:
% 52.37/15.16  											| (59) $false
% 52.37/15.16  											|
% 52.37/15.16  											|-The branch is then unsatisfiable
% 52.37/15.16  										|-Branch two:
% 52.37/15.16  										| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 52.37/15.16  										|
% 52.37/15.16  											| Applying alpha-rule on (60) yields:
% 52.37/15.16  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 52.37/15.16  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 52.37/15.16  											|
% 52.37/15.16  											| Instantiating formula (61) with all_0_0_0, all_0_1_1 and discharging atoms p(all_0_1_1) = all_0_0_0, yields:
% 52.37/15.16  											| (63) all_0_0_0 = 0
% 52.37/15.16  											|
% 52.37/15.16  											| From (63) and (12) follows:
% 52.37/15.16  											| (64) p(all_0_1_1) = 0
% 52.37/15.16  											|
% 52.37/15.16  											+-Applying beta-rule and splitting (1516), into two cases.
% 52.37/15.16  											|-Branch one:
% 52.37/15.16  											| (1525) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0
% 52.37/15.16  											|
% 52.37/15.16  												| Applying alpha-rule on (1525) yields:
% 52.37/15.16  												| (33) all_0_18_18 = 0
% 52.37/15.16  												| (34)  ~ (all_0_20_20 = 0)
% 52.37/15.16  												| (1528) q(all_0_21_21) = all_0_20_20
% 52.37/15.16  												| (1529) p(all_0_19_19) = 0
% 52.37/15.16  												|
% 52.37/15.16  												| Instantiating formula (1491) with all_0_20_20, all_0_21_21 and discharging atoms q(all_0_21_21) = all_0_20_20, yields:
% 52.37/15.16  												| (483)  ~ (all_0_8_8 = 0) | all_0_20_20 = 0
% 52.37/15.16  												|
% 52.37/15.16  												+-Applying beta-rule and splitting (483), into two cases.
% 52.37/15.16  												|-Branch one:
% 52.37/15.16  												| (55)  ~ (all_0_8_8 = 0)
% 52.37/15.16  												|
% 52.37/15.16  													| Equations (120) can reduce 55 to:
% 52.37/15.16  													| (59) $false
% 52.37/15.16  													|
% 52.37/15.16  													|-The branch is then unsatisfiable
% 52.37/15.16  												|-Branch two:
% 52.37/15.16  												| (120) all_0_8_8 = 0
% 52.37/15.16  												| (81) all_0_20_20 = 0
% 52.37/15.16  												|
% 52.37/15.16  													| Equations (81) can reduce 34 to:
% 52.37/15.16  													| (59) $false
% 52.37/15.16  													|
% 52.37/15.16  													|-The branch is then unsatisfiable
% 52.37/15.16  											|-Branch two:
% 52.37/15.16  											| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 52.37/15.17  											|
% 52.37/15.17  												| Applying alpha-rule on (76) yields:
% 52.37/15.17  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 52.37/15.17  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 52.37/15.17  												|
% 52.37/15.17  												| Instantiating formula (78) with all_0_1_1 and discharging atoms p(all_0_1_1) = 0, yields:
% 52.37/15.17  												| (79) $false
% 52.37/15.17  												|
% 52.37/15.17  												|-The branch is then unsatisfiable
% 52.37/15.17  									|-Branch two:
% 52.37/15.17  									| (42) all_0_16_16 = 0
% 52.37/15.17  									| (58) all_0_10_10 = 0
% 52.37/15.17  									|
% 52.37/15.17  										| Equations (58) can reduce 52 to:
% 52.37/15.17  										| (59) $false
% 52.37/15.17  										|
% 52.37/15.17  										|-The branch is then unsatisfiable
% 52.37/15.17  								|-Branch two:
% 52.37/15.17  								| (1545)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))
% 52.37/15.17  								|
% 52.37/15.17  									| Applying alpha-rule on (1545) yields:
% 52.37/15.17  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 52.37/15.17  									| (1547) (all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))
% 52.37/15.17  									|
% 52.37/15.17  									| Instantiating formula (84) with all_0_10_10, all_0_11_11 and discharging atoms s(all_0_11_11) = all_0_10_10, yields:
% 52.37/15.17  									| (1726)  ? [v0] :  ? [v1] : (( ~ (all_0_10_10 = 0) | ( ~ (v1 = 0) & s(v0) = v1)) & (all_0_10_10 = 0 | (v1 = 0 & s(v0) = 0)))
% 52.37/15.17  									|
% 52.37/15.17  									| Instantiating (1726) with all_60_0_1058, all_60_1_1059 yields:
% 52.37/15.17  									| (2046) ( ~ (all_0_10_10 = 0) | ( ~ (all_60_0_1058 = 0) & s(all_60_1_1059) = all_60_0_1058)) & (all_0_10_10 = 0 | (all_60_0_1058 = 0 & s(all_60_1_1059) = 0))
% 52.37/15.17  									|
% 52.37/15.17  									| Applying alpha-rule on (2046) yields:
% 52.37/15.17  									| (2047)  ~ (all_0_10_10 = 0) | ( ~ (all_60_0_1058 = 0) & s(all_60_1_1059) = all_60_0_1058)
% 52.37/15.17  									| (2048) all_0_10_10 = 0 | (all_60_0_1058 = 0 & s(all_60_1_1059) = 0)
% 52.37/15.17  									|
% 52.37/15.17  									+-Applying beta-rule and splitting (2048), into two cases.
% 52.37/15.17  									|-Branch one:
% 52.37/15.17  									| (58) all_0_10_10 = 0
% 52.37/15.17  									|
% 52.37/15.17  										| Equations (58) can reduce 52 to:
% 52.37/15.17  										| (59) $false
% 52.37/15.17  										|
% 52.37/15.17  										|-The branch is then unsatisfiable
% 52.37/15.17  									|-Branch two:
% 52.37/15.17  									| (52)  ~ (all_0_10_10 = 0)
% 52.37/15.17  									| (2052) all_60_0_1058 = 0 & s(all_60_1_1059) = 0
% 52.37/15.17  									|
% 52.37/15.17  										| Applying alpha-rule on (2052) yields:
% 52.37/15.17  										| (2053) all_60_0_1058 = 0
% 52.37/15.17  										| (2054) s(all_60_1_1059) = 0
% 52.37/15.17  										|
% 52.37/15.17  										+-Applying beta-rule and splitting (469), into two cases.
% 52.37/15.17  										|-Branch one:
% 52.37/15.17  										| (471) all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14
% 52.37/15.17  										|
% 52.37/15.17  											| Applying alpha-rule on (471) yields:
% 52.37/15.17  											| (66) all_0_12_12 = 0
% 52.37/15.17  											| (67)  ~ (all_0_14_14 = 0)
% 52.37/15.17  											| (310) s(all_0_13_13) = 0
% 52.37/15.17  											| (475) p(all_0_15_15) = all_0_14_14
% 52.37/15.17  											|
% 52.37/15.17  											| Instantiating formula (13) with all_0_14_14, all_0_15_15 and discharging atoms p(all_0_15_15) = all_0_14_14, yields:
% 52.37/15.17  											| (476)  ~ (all_0_0_0 = 0) | all_0_14_14 = 0
% 52.37/15.17  											|
% 52.37/15.17  											+-Applying beta-rule and splitting (476), into two cases.
% 52.37/15.17  											|-Branch one:
% 52.37/15.17  											| (102)  ~ (all_0_0_0 = 0)
% 52.37/15.17  											|
% 52.37/15.17  												+-Applying beta-rule and splitting (1547), into two cases.
% 52.37/15.17  												|-Branch one:
% 52.37/15.17  												| (1563) all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 52.37/15.17  												|
% 52.37/15.17  													| Applying alpha-rule on (1563) yields:
% 52.37/15.17  													| (81) all_0_20_20 = 0
% 52.37/15.17  													| (1565) p(all_0_21_21) = 0
% 52.37/15.17  													| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 52.37/15.17  													|
% 52.37/15.17  													| Instantiating formula (14) with all_0_21_21 and discharging atoms p(all_0_21_21) = 0, yields:
% 52.37/15.17  													| (63) all_0_0_0 = 0
% 52.37/15.17  													|
% 52.37/15.17  													| Equations (63) can reduce 102 to:
% 52.37/15.17  													| (59) $false
% 52.37/15.17  													|
% 52.37/15.17  													|-The branch is then unsatisfiable
% 52.37/15.17  												|-Branch two:
% 52.37/15.17  												| (1573)  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)
% 52.37/15.17  												|
% 52.37/15.17  													| Applying alpha-rule on (1573) yields:
% 52.37/15.17  													| (34)  ~ (all_0_20_20 = 0)
% 52.37/15.17  													| (1528) q(all_0_21_21) = all_0_20_20
% 52.37/15.17  													| (78)  ! [v0] :  ~ (p(v0) = 0)
% 52.37/15.17  													|
% 52.37/15.17  													| Instantiating formula (1491) with all_0_20_20, all_0_21_21 and discharging atoms q(all_0_21_21) = all_0_20_20, yields:
% 52.37/15.17  													| (483)  ~ (all_0_8_8 = 0) | all_0_20_20 = 0
% 52.37/15.17  													|
% 52.37/15.17  													+-Applying beta-rule and splitting (483), into two cases.
% 52.37/15.17  													|-Branch one:
% 52.37/15.17  													| (55)  ~ (all_0_8_8 = 0)
% 52.37/15.17  													|
% 52.37/15.17  														| Equations (120) can reduce 55 to:
% 52.37/15.17  														| (59) $false
% 52.37/15.17  														|
% 52.37/15.17  														|-The branch is then unsatisfiable
% 52.37/15.17  													|-Branch two:
% 52.37/15.17  													| (120) all_0_8_8 = 0
% 52.37/15.17  													| (81) all_0_20_20 = 0
% 52.37/15.17  													|
% 52.37/15.17  														| Equations (81) can reduce 34 to:
% 52.37/15.17  														| (59) $false
% 52.37/15.17  														|
% 52.37/15.17  														|-The branch is then unsatisfiable
% 52.37/15.17  											|-Branch two:
% 52.37/15.17  											| (63) all_0_0_0 = 0
% 52.37/15.17  											| (74) all_0_14_14 = 0
% 52.37/15.17  											|
% 52.37/15.17  												| Equations (74) can reduce 67 to:
% 52.37/15.17  												| (59) $false
% 52.37/15.17  												|
% 52.37/15.17  												|-The branch is then unsatisfiable
% 52.37/15.17  										|-Branch two:
% 52.37/15.17  										| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 52.37/15.17  										|
% 52.37/15.17  											| Applying alpha-rule on (60) yields:
% 52.37/15.17  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 52.37/15.17  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 52.37/15.17  											|
% 52.37/15.17  											| Instantiating formula (62) with all_60_1_1059 and discharging atoms s(all_60_1_1059) = 0, yields:
% 52.37/15.17  											| (79) $false
% 52.37/15.17  											|
% 52.37/15.17  											|-The branch is then unsatisfiable
% 52.37/15.17  							|-Branch two:
% 52.37/15.17  							| (1925) ((all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))
% 52.37/15.17  							|
% 52.37/15.17  								| Applying alpha-rule on (1925) yields:
% 52.37/15.17  								| (1926) (all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))
% 52.37/15.17  								| (1927) (s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))
% 52.37/15.17  								|
% 52.37/15.17  								+-Applying beta-rule and splitting (1927), into two cases.
% 52.37/15.17  								|-Branch one:
% 52.37/15.17  								| (1934) s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))
% 52.37/15.17  								|
% 52.37/15.17  									| Applying alpha-rule on (1934) yields:
% 52.37/15.17  									| (1935) s(all_0_19_19) = all_0_18_18
% 52.37/15.17  									| (1936)  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 52.37/15.17  									| (1937)  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0))
% 52.37/15.17  									| (1547) (all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))
% 52.37/15.17  									|
% 52.37/15.17  									| Instantiating formula (1936) with all_0_10_10, all_0_11_11 and discharging atoms s(all_0_11_11) = all_0_10_10, yields:
% 52.37/15.17  									| (2093)  ~ (all_0_18_18 = 0) | all_0_10_10 = 0
% 52.37/15.17  									|
% 52.37/15.17  									+-Applying beta-rule and splitting (2093), into two cases.
% 52.37/15.17  									|-Branch one:
% 52.37/15.17  									| (2094)  ~ (all_0_18_18 = 0)
% 52.37/15.17  									|
% 52.37/15.17  										+-Applying beta-rule and splitting (1926), into two cases.
% 52.37/15.17  										|-Branch one:
% 52.37/15.17  										| (1928) all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 52.37/15.17  										|
% 52.37/15.17  											| Applying alpha-rule on (1928) yields:
% 52.37/15.17  											| (42) all_0_16_16 = 0
% 52.37/15.17  											| (1518) s(all_0_17_17) = 0
% 52.37/15.17  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 52.37/15.17  											|
% 52.37/15.17  											| Instantiating formula (1937) with all_0_17_17 and discharging atoms s(all_0_17_17) = 0, yields:
% 52.37/15.17  											| (33) all_0_18_18 = 0
% 52.37/15.17  											|
% 52.37/15.17  											| Equations (33) can reduce 2094 to:
% 52.37/15.17  											| (59) $false
% 52.37/15.17  											|
% 52.37/15.17  											|-The branch is then unsatisfiable
% 52.37/15.17  										|-Branch two:
% 52.37/15.17  										| (1960)  ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0)
% 52.37/15.17  										|
% 52.37/15.17  											| Applying alpha-rule on (1960) yields:
% 52.37/15.17  											| (71)  ~ (all_0_16_16 = 0)
% 52.37/15.17  											| (1962) p(all_0_17_17) = all_0_16_16
% 52.37/15.17  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 52.37/15.17  											|
% 52.37/15.17  											| Instantiating formula (13) with all_0_16_16, all_0_17_17 and discharging atoms p(all_0_17_17) = all_0_16_16, yields:
% 52.37/15.17  											| (1964)  ~ (all_0_0_0 = 0) | all_0_16_16 = 0
% 52.37/15.17  											|
% 52.37/15.17  											+-Applying beta-rule and splitting (1547), into two cases.
% 52.37/15.17  											|-Branch one:
% 52.37/15.17  											| (1563) all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 52.37/15.17  											|
% 52.37/15.17  												| Applying alpha-rule on (1563) yields:
% 52.37/15.17  												| (81) all_0_20_20 = 0
% 52.37/15.17  												| (1565) p(all_0_21_21) = 0
% 52.37/15.17  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 52.37/15.17  												|
% 52.37/15.17  												+-Applying beta-rule and splitting (1964), into two cases.
% 52.37/15.17  												|-Branch one:
% 52.37/15.17  												| (102)  ~ (all_0_0_0 = 0)
% 52.37/15.17  												|
% 52.37/15.17  													| Instantiating formula (14) with all_0_21_21 and discharging atoms p(all_0_21_21) = 0, yields:
% 52.37/15.17  													| (63) all_0_0_0 = 0
% 52.37/15.17  													|
% 52.37/15.17  													| Equations (63) can reduce 102 to:
% 52.37/15.17  													| (59) $false
% 52.37/15.17  													|
% 52.37/15.17  													|-The branch is then unsatisfiable
% 52.37/15.17  												|-Branch two:
% 52.37/15.17  												| (63) all_0_0_0 = 0
% 52.37/15.17  												| (42) all_0_16_16 = 0
% 52.37/15.17  												|
% 52.37/15.17  													| Equations (42) can reduce 71 to:
% 52.37/15.17  													| (59) $false
% 52.37/15.17  													|
% 52.37/15.17  													|-The branch is then unsatisfiable
% 52.37/15.17  											|-Branch two:
% 52.37/15.17  											| (1573)  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)
% 52.37/15.17  											|
% 52.37/15.17  												| Applying alpha-rule on (1573) yields:
% 52.37/15.17  												| (34)  ~ (all_0_20_20 = 0)
% 52.37/15.17  												| (1528) q(all_0_21_21) = all_0_20_20
% 52.37/15.18  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 52.37/15.18  												|
% 52.37/15.18  												| Instantiating formula (1491) with all_0_20_20, all_0_21_21 and discharging atoms q(all_0_21_21) = all_0_20_20, yields:
% 52.37/15.18  												| (483)  ~ (all_0_8_8 = 0) | all_0_20_20 = 0
% 52.37/15.18  												|
% 52.37/15.18  												+-Applying beta-rule and splitting (483), into two cases.
% 52.37/15.18  												|-Branch one:
% 52.37/15.18  												| (55)  ~ (all_0_8_8 = 0)
% 52.37/15.18  												|
% 52.37/15.18  													| Equations (120) can reduce 55 to:
% 52.37/15.18  													| (59) $false
% 52.37/15.18  													|
% 52.37/15.18  													|-The branch is then unsatisfiable
% 52.37/15.18  												|-Branch two:
% 52.37/15.18  												| (120) all_0_8_8 = 0
% 52.37/15.18  												| (81) all_0_20_20 = 0
% 52.37/15.18  												|
% 52.37/15.18  													| Equations (81) can reduce 34 to:
% 52.37/15.18  													| (59) $false
% 52.37/15.18  													|
% 52.37/15.18  													|-The branch is then unsatisfiable
% 52.37/15.18  									|-Branch two:
% 52.37/15.18  									| (33) all_0_18_18 = 0
% 52.37/15.18  									| (58) all_0_10_10 = 0
% 52.37/15.18  									|
% 52.37/15.18  										| Equations (58) can reduce 52 to:
% 52.37/15.18  										| (59) $false
% 52.37/15.18  										|
% 52.37/15.18  										|-The branch is then unsatisfiable
% 52.37/15.18  								|-Branch two:
% 52.37/15.18  								| (1951)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 52.37/15.18  								|
% 52.37/15.18  									| Applying alpha-rule on (1951) yields:
% 52.37/15.18  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 52.37/15.18  									| (1516) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 52.37/15.18  									|
% 52.37/15.18  									| Instantiating formula (84) with all_0_10_10, all_0_11_11 and discharging atoms s(all_0_11_11) = all_0_10_10, yields:
% 52.37/15.18  									| (1726)  ? [v0] :  ? [v1] : (( ~ (all_0_10_10 = 0) | ( ~ (v1 = 0) & s(v0) = v1)) & (all_0_10_10 = 0 | (v1 = 0 & s(v0) = 0)))
% 52.37/15.18  									|
% 52.37/15.18  									| Instantiating (1726) with all_60_0_1070, all_60_1_1071 yields:
% 52.37/15.18  									| (2133) ( ~ (all_0_10_10 = 0) | ( ~ (all_60_0_1070 = 0) & s(all_60_1_1071) = all_60_0_1070)) & (all_0_10_10 = 0 | (all_60_0_1070 = 0 & s(all_60_1_1071) = 0))
% 52.37/15.18  									|
% 52.37/15.18  									| Applying alpha-rule on (2133) yields:
% 52.37/15.18  									| (2134)  ~ (all_0_10_10 = 0) | ( ~ (all_60_0_1070 = 0) & s(all_60_1_1071) = all_60_0_1070)
% 52.37/15.18  									| (2135) all_0_10_10 = 0 | (all_60_0_1070 = 0 & s(all_60_1_1071) = 0)
% 52.37/15.18  									|
% 52.37/15.18  									+-Applying beta-rule and splitting (2135), into two cases.
% 52.37/15.18  									|-Branch one:
% 52.37/15.18  									| (58) all_0_10_10 = 0
% 52.37/15.18  									|
% 52.37/15.18  										| Equations (58) can reduce 52 to:
% 52.37/15.18  										| (59) $false
% 52.37/15.18  										|
% 52.37/15.18  										|-The branch is then unsatisfiable
% 52.37/15.18  									|-Branch two:
% 52.37/15.18  									| (52)  ~ (all_0_10_10 = 0)
% 52.37/15.18  									| (2139) all_60_0_1070 = 0 & s(all_60_1_1071) = 0
% 52.37/15.18  									|
% 52.37/15.18  										| Applying alpha-rule on (2139) yields:
% 52.37/15.18  										| (2140) all_60_0_1070 = 0
% 52.37/15.18  										| (2141) s(all_60_1_1071) = 0
% 52.37/15.18  										|
% 52.37/15.18  										+-Applying beta-rule and splitting (1926), into two cases.
% 52.37/15.18  										|-Branch one:
% 52.37/15.18  										| (1928) all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 52.37/15.18  										|
% 52.37/15.18  											| Applying alpha-rule on (1928) yields:
% 52.37/15.18  											| (42) all_0_16_16 = 0
% 52.37/15.18  											| (1518) s(all_0_17_17) = 0
% 52.37/15.18  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 52.37/15.18  											|
% 52.37/15.18  											| Instantiating formula (61) with all_0_0_0, all_0_1_1 and discharging atoms p(all_0_1_1) = all_0_0_0, yields:
% 52.37/15.18  											| (63) all_0_0_0 = 0
% 52.37/15.18  											|
% 52.37/15.18  											| From (63) and (12) follows:
% 52.37/15.18  											| (64) p(all_0_1_1) = 0
% 52.37/15.18  											|
% 52.37/15.18  											+-Applying beta-rule and splitting (1516), into two cases.
% 52.37/15.18  											|-Branch one:
% 52.37/15.18  											| (1525) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0
% 52.37/15.18  											|
% 52.37/15.18  												| Applying alpha-rule on (1525) yields:
% 52.37/15.18  												| (33) all_0_18_18 = 0
% 52.37/15.18  												| (34)  ~ (all_0_20_20 = 0)
% 52.37/15.18  												| (1528) q(all_0_21_21) = all_0_20_20
% 52.37/15.18  												| (1529) p(all_0_19_19) = 0
% 52.37/15.18  												|
% 52.37/15.18  												| Instantiating formula (1491) with all_0_20_20, all_0_21_21 and discharging atoms q(all_0_21_21) = all_0_20_20, yields:
% 52.37/15.18  												| (483)  ~ (all_0_8_8 = 0) | all_0_20_20 = 0
% 52.37/15.18  												|
% 52.37/15.18  												+-Applying beta-rule and splitting (483), into two cases.
% 52.37/15.18  												|-Branch one:
% 52.37/15.18  												| (55)  ~ (all_0_8_8 = 0)
% 52.37/15.18  												|
% 52.37/15.18  													| Equations (120) can reduce 55 to:
% 52.37/15.18  													| (59) $false
% 52.37/15.18  													|
% 52.37/15.18  													|-The branch is then unsatisfiable
% 52.37/15.18  												|-Branch two:
% 52.37/15.18  												| (120) all_0_8_8 = 0
% 52.37/15.18  												| (81) all_0_20_20 = 0
% 52.37/15.18  												|
% 52.37/15.18  													| Equations (81) can reduce 34 to:
% 52.37/15.18  													| (59) $false
% 52.37/15.18  													|
% 52.37/15.18  													|-The branch is then unsatisfiable
% 52.37/15.18  											|-Branch two:
% 52.37/15.18  											| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 52.37/15.18  											|
% 52.37/15.18  												| Applying alpha-rule on (76) yields:
% 52.37/15.18  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 52.37/15.18  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 52.37/15.18  												|
% 52.37/15.18  												| Instantiating formula (78) with all_0_1_1 and discharging atoms p(all_0_1_1) = 0, yields:
% 52.37/15.18  												| (79) $false
% 52.37/15.18  												|
% 52.37/15.18  												|-The branch is then unsatisfiable
% 52.37/15.18  										|-Branch two:
% 52.37/15.18  										| (1960)  ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0)
% 52.37/15.18  										|
% 52.37/15.18  											| Applying alpha-rule on (1960) yields:
% 52.37/15.18  											| (71)  ~ (all_0_16_16 = 0)
% 52.37/15.18  											| (1962) p(all_0_17_17) = all_0_16_16
% 52.37/15.18  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 52.37/15.18  											|
% 52.37/15.18  											| Instantiating formula (62) with all_60_1_1071 and discharging atoms s(all_60_1_1071) = 0, yields:
% 52.37/15.18  											| (79) $false
% 52.37/15.18  											|
% 52.37/15.18  											|-The branch is then unsatisfiable
% 52.37/15.18  						|-Branch two:
% 52.37/15.18  						| (209)  ~ (all_0_2_2 = 0) & r(all_0_3_3) = all_0_2_2 &  ! [v0] :  ~ (q(v0) = 0)
% 52.37/15.18  						|
% 52.37/15.18  							| Applying alpha-rule on (209) yields:
% 52.37/15.18  							| (210)  ~ (all_0_2_2 = 0)
% 52.37/15.18  							| (211) r(all_0_3_3) = all_0_2_2
% 52.37/15.18  							| (212)  ! [v0] :  ~ (q(v0) = 0)
% 52.37/15.18  							|
% 52.37/15.18  							| Instantiating formula (370) with all_0_2_2, all_0_3_3 and discharging atoms r(all_0_3_3) = all_0_2_2, yields:
% 52.37/15.18  							| (705)  ? [v0] :  ? [v1] : (( ~ (all_0_2_2 = 0) | ( ~ (v1 = 0) & r(v0) = v1)) & (all_0_2_2 = 0 | (v1 = 0 & r(v0) = 0)))
% 52.37/15.18  							|
% 52.37/15.18  							| Instantiating (705) with all_53_0_1082, all_53_1_1083 yields:
% 52.37/15.18  							| (2173) ( ~ (all_0_2_2 = 0) | ( ~ (all_53_0_1082 = 0) & r(all_53_1_1083) = all_53_0_1082)) & (all_0_2_2 = 0 | (all_53_0_1082 = 0 & r(all_53_1_1083) = 0))
% 52.37/15.18  							|
% 52.37/15.18  							| Applying alpha-rule on (2173) yields:
% 52.37/15.18  							| (2174)  ~ (all_0_2_2 = 0) | ( ~ (all_53_0_1082 = 0) & r(all_53_1_1083) = all_53_0_1082)
% 52.37/15.18  							| (2175) all_0_2_2 = 0 | (all_53_0_1082 = 0 & r(all_53_1_1083) = 0)
% 52.37/15.18  							|
% 52.37/15.18  							+-Applying beta-rule and splitting (2175), into two cases.
% 52.37/15.18  							|-Branch one:
% 52.37/15.18  							| (39) all_0_2_2 = 0
% 52.37/15.18  							|
% 52.37/15.18  								| Equations (39) can reduce 210 to:
% 52.37/15.18  								| (59) $false
% 52.37/15.18  								|
% 52.37/15.18  								|-The branch is then unsatisfiable
% 52.37/15.18  							|-Branch two:
% 52.37/15.18  							| (210)  ~ (all_0_2_2 = 0)
% 52.37/15.18  							| (2179) all_53_0_1082 = 0 & r(all_53_1_1083) = 0
% 52.37/15.18  							|
% 52.37/15.18  								| Applying alpha-rule on (2179) yields:
% 52.37/15.18  								| (2180) all_53_0_1082 = 0
% 52.37/15.18  								| (2181) r(all_53_1_1083) = 0
% 52.37/15.18  								|
% 52.37/15.18  								| Instantiating formula (221) with all_53_1_1083 and discharging atoms r(all_53_1_1083) = 0, yields:
% 52.37/15.18  								| (79) $false
% 52.37/15.18  								|
% 52.37/15.18  								|-The branch is then unsatisfiable
% 52.37/15.18  			|-Branch two:
% 52.37/15.18  			| (2183)  ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 & r(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))
% 52.37/15.18  			|
% 52.37/15.18  				| Applying alpha-rule on (2183) yields:
% 52.37/15.18  				| (717)  ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0))))
% 52.37/15.18  				| (2185) (all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 & r(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0))
% 52.37/15.18  				|
% 52.37/15.18  				+-Applying beta-rule and splitting (1487), into two cases.
% 52.37/15.18  				|-Branch one:
% 52.37/15.18  				| (1494) r(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (r(v0) = 0)) & ((((all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))
% 52.37/15.18  				|
% 52.37/15.18  					| Applying alpha-rule on (1494) yields:
% 52.37/15.18  					| (1495) r(all_0_13_13) = all_0_12_12
% 52.37/15.18  					| (1496)  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (r(v0) = v1))
% 52.37/15.18  					| (1497)  ! [v0] : (all_0_12_12 = 0 |  ~ (r(v0) = 0))
% 52.37/15.18  					| (1498) (((all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))
% 52.37/15.19  					|
% 52.37/15.19  					+-Applying beta-rule and splitting (2185), into two cases.
% 52.37/15.19  					|-Branch one:
% 52.37/15.19  					| (2191) all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 & r(all_0_9_9) = 0
% 52.37/15.19  					|
% 52.37/15.19  						| Applying alpha-rule on (2191) yields:
% 52.37/15.19  						| (120) all_0_8_8 = 0
% 52.37/15.19  						| (52)  ~ (all_0_10_10 = 0)
% 52.37/15.19  						| (47) s(all_0_11_11) = all_0_10_10
% 52.37/15.19  						| (2195) r(all_0_9_9) = 0
% 52.37/15.19  						|
% 52.37/15.19  						| Instantiating formula (1497) with all_0_9_9 and discharging atoms r(all_0_9_9) = 0, yields:
% 52.37/15.19  						| (66) all_0_12_12 = 0
% 52.37/15.19  						|
% 52.37/15.19  						+-Applying beta-rule and splitting (17), into two cases.
% 52.37/15.19  						|-Branch one:
% 52.37/15.19  						| (38) all_0_2_2 = 0 & q(all_0_3_3) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 52.37/15.19  						|
% 52.37/15.19  							| Applying alpha-rule on (38) yields:
% 52.37/15.19  							| (39) all_0_2_2 = 0
% 52.37/15.19  							| (40) q(all_0_3_3) = 0
% 52.37/15.19  							| (41)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 52.37/15.19  							|
% 52.37/15.19  							| Instantiating formula (717) with 0, all_0_3_3 and discharging atoms q(all_0_3_3) = 0, yields:
% 52.37/15.19  							| (733)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & q(v0) = v1)
% 52.37/15.19  							|
% 52.37/15.19  							| Instantiating (733) with all_56_0_1084, all_56_1_1085 yields:
% 52.37/15.19  							| (2202)  ~ (all_56_0_1084 = 0) & q(all_56_1_1085) = all_56_0_1084
% 52.37/15.19  							|
% 52.37/15.19  							| Applying alpha-rule on (2202) yields:
% 52.37/15.19  							| (2203)  ~ (all_56_0_1084 = 0)
% 52.37/15.19  							| (2204) q(all_56_1_1085) = all_56_0_1084
% 52.37/15.19  							|
% 52.37/15.19  							| Instantiating formula (717) with all_56_0_1084, all_56_1_1085 and discharging atoms q(all_56_1_1085) = all_56_0_1084, yields:
% 52.37/15.19  							| (2205)  ? [v0] :  ? [v1] : (( ~ (all_56_0_1084 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_56_0_1084 = 0 | (v1 = 0 & q(v0) = 0)))
% 52.37/15.19  							|
% 52.37/15.19  							| Instantiating (2205) with all_63_0_1086, all_63_1_1087 yields:
% 52.37/15.19  							| (2206) ( ~ (all_56_0_1084 = 0) | ( ~ (all_63_0_1086 = 0) & q(all_63_1_1087) = all_63_0_1086)) & (all_56_0_1084 = 0 | (all_63_0_1086 = 0 & q(all_63_1_1087) = 0))
% 52.37/15.19  							|
% 52.37/15.19  							| Applying alpha-rule on (2206) yields:
% 52.37/15.19  							| (2207)  ~ (all_56_0_1084 = 0) | ( ~ (all_63_0_1086 = 0) & q(all_63_1_1087) = all_63_0_1086)
% 52.37/15.19  							| (2208) all_56_0_1084 = 0 | (all_63_0_1086 = 0 & q(all_63_1_1087) = 0)
% 52.37/15.19  							|
% 52.37/15.19  							+-Applying beta-rule and splitting (1498), into two cases.
% 52.37/15.19  							|-Branch one:
% 52.37/15.19  							| (1509) ((all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))
% 52.37/15.19  							|
% 52.37/15.19  								| Applying alpha-rule on (1509) yields:
% 52.37/15.19  								| (1510) (all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))
% 52.37/15.19  								| (1511) (s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))))
% 52.37/15.19  								|
% 52.37/15.19  								+-Applying beta-rule and splitting (1511), into two cases.
% 52.37/15.19  								|-Branch one:
% 52.37/15.19  								| (1512) s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 52.37/15.19  								|
% 52.37/15.19  									| Applying alpha-rule on (1512) yields:
% 52.37/15.19  									| (1513) s(all_0_17_17) = all_0_16_16
% 52.37/15.19  									| (1514)  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 52.37/15.19  									| (1515)  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0))
% 52.37/15.19  									| (1516) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 52.37/15.19  									|
% 52.37/15.19  									| Instantiating formula (1514) with all_0_10_10, all_0_11_11 and discharging atoms s(all_0_11_11) = all_0_10_10, yields:
% 52.37/15.19  									| (657)  ~ (all_0_16_16 = 0) | all_0_10_10 = 0
% 52.37/15.19  									|
% 52.37/15.19  									+-Applying beta-rule and splitting (2208), into two cases.
% 52.37/15.19  									|-Branch one:
% 52.37/15.19  									| (2218) all_56_0_1084 = 0
% 52.37/15.19  									|
% 52.37/15.19  										| Equations (2218) can reduce 2203 to:
% 52.37/15.19  										| (59) $false
% 52.37/15.19  										|
% 52.37/15.19  										|-The branch is then unsatisfiable
% 52.37/15.19  									|-Branch two:
% 52.37/15.19  									| (2203)  ~ (all_56_0_1084 = 0)
% 52.37/15.19  									| (2221) all_63_0_1086 = 0 & q(all_63_1_1087) = 0
% 52.37/15.19  									|
% 52.37/15.19  										+-Applying beta-rule and splitting (657), into two cases.
% 52.37/15.19  										|-Branch one:
% 52.37/15.19  										| (71)  ~ (all_0_16_16 = 0)
% 52.37/15.19  										|
% 52.37/15.19  											+-Applying beta-rule and splitting (1510), into two cases.
% 52.37/15.19  											|-Branch one:
% 52.37/15.19  											| (1519) all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 52.37/15.19  											|
% 52.37/15.19  												| Applying alpha-rule on (1519) yields:
% 52.37/15.19  												| (74) all_0_14_14 = 0
% 52.37/15.19  												| (1521) s(all_0_15_15) = 0
% 52.37/15.19  												| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 52.37/15.19  												|
% 52.37/15.19  												| Instantiating formula (1515) with all_0_15_15 and discharging atoms s(all_0_15_15) = 0, yields:
% 52.37/15.19  												| (42) all_0_16_16 = 0
% 52.37/15.19  												|
% 52.37/15.19  												| Equations (42) can reduce 71 to:
% 52.37/15.19  												| (59) $false
% 52.37/15.19  												|
% 52.37/15.19  												|-The branch is then unsatisfiable
% 52.37/15.19  											|-Branch two:
% 52.37/15.19  											| (1540)  ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0)
% 52.37/15.19  											|
% 52.37/15.19  												| Applying alpha-rule on (1540) yields:
% 52.37/15.19  												| (67)  ~ (all_0_14_14 = 0)
% 52.37/15.19  												| (475) p(all_0_15_15) = all_0_14_14
% 52.37/15.19  												| (62)  ! [v0] :  ~ (s(v0) = 0)
% 52.37/15.19  												|
% 52.37/15.19  												| Instantiating formula (13) with all_0_14_14, all_0_15_15 and discharging atoms p(all_0_15_15) = all_0_14_14, yields:
% 52.37/15.19  												| (476)  ~ (all_0_0_0 = 0) | all_0_14_14 = 0
% 52.37/15.19  												|
% 52.37/15.19  												+-Applying beta-rule and splitting (476), into two cases.
% 52.37/15.19  												|-Branch one:
% 52.37/15.19  												| (102)  ~ (all_0_0_0 = 0)
% 52.37/15.19  												|
% 52.37/15.19  													+-Applying beta-rule and splitting (1516), into two cases.
% 52.37/15.19  													|-Branch one:
% 52.37/15.19  													| (1525) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0
% 52.37/15.19  													|
% 52.37/15.19  														| Applying alpha-rule on (1525) yields:
% 52.37/15.19  														| (33) all_0_18_18 = 0
% 52.37/15.19  														| (34)  ~ (all_0_20_20 = 0)
% 52.37/15.19  														| (1528) q(all_0_21_21) = all_0_20_20
% 52.37/15.19  														| (1529) p(all_0_19_19) = 0
% 52.37/15.19  														|
% 52.37/15.19  														| Instantiating formula (14) with all_0_19_19 and discharging atoms p(all_0_19_19) = 0, yields:
% 52.37/15.19  														| (63) all_0_0_0 = 0
% 52.37/15.19  														|
% 52.37/15.19  														| Equations (63) can reduce 102 to:
% 52.37/15.19  														| (59) $false
% 52.37/15.19  														|
% 52.37/15.19  														|-The branch is then unsatisfiable
% 52.37/15.19  													|-Branch two:
% 52.37/15.19  													| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 52.37/15.19  													|
% 52.37/15.19  														| Applying alpha-rule on (76) yields:
% 52.37/15.19  														| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 52.37/15.19  														| (78)  ! [v0] :  ~ (p(v0) = 0)
% 52.37/15.19  														|
% 52.37/15.19  														| Instantiating formula (77) with all_56_0_1084, all_56_1_1085 and discharging atoms q(all_56_1_1085) = all_56_0_1084, yields:
% 52.37/15.19  														| (2218) all_56_0_1084 = 0
% 52.37/15.19  														|
% 52.37/15.19  														| Equations (2218) can reduce 2203 to:
% 52.37/15.19  														| (59) $false
% 52.37/15.19  														|
% 52.37/15.19  														|-The branch is then unsatisfiable
% 52.37/15.19  												|-Branch two:
% 52.37/15.19  												| (63) all_0_0_0 = 0
% 52.37/15.19  												| (74) all_0_14_14 = 0
% 52.37/15.19  												|
% 52.37/15.19  													| Equations (74) can reduce 67 to:
% 52.37/15.19  													| (59) $false
% 52.37/15.19  													|
% 52.37/15.19  													|-The branch is then unsatisfiable
% 52.37/15.19  										|-Branch two:
% 52.37/15.19  										| (42) all_0_16_16 = 0
% 52.37/15.19  										| (58) all_0_10_10 = 0
% 52.37/15.19  										|
% 52.37/15.19  											| Equations (58) can reduce 52 to:
% 52.37/15.19  											| (59) $false
% 52.37/15.19  											|
% 52.37/15.19  											|-The branch is then unsatisfiable
% 52.37/15.19  								|-Branch two:
% 52.37/15.19  								| (1545)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))
% 52.37/15.19  								|
% 52.37/15.19  									| Applying alpha-rule on (1545) yields:
% 52.37/15.19  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 52.37/15.20  									| (1547) (all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))
% 52.37/15.20  									|
% 52.37/15.20  									| Instantiating formula (84) with all_0_10_10, all_0_11_11 and discharging atoms s(all_0_11_11) = all_0_10_10, yields:
% 52.37/15.20  									| (1726)  ? [v0] :  ? [v1] : (( ~ (all_0_10_10 = 0) | ( ~ (v1 = 0) & s(v0) = v1)) & (all_0_10_10 = 0 | (v1 = 0 & s(v0) = 0)))
% 52.37/15.20  									|
% 52.37/15.20  									| Instantiating (1726) with all_67_0_1096, all_67_1_1097 yields:
% 52.37/15.20  									| (2257) ( ~ (all_0_10_10 = 0) | ( ~ (all_67_0_1096 = 0) & s(all_67_1_1097) = all_67_0_1096)) & (all_0_10_10 = 0 | (all_67_0_1096 = 0 & s(all_67_1_1097) = 0))
% 52.37/15.20  									|
% 52.37/15.20  									| Applying alpha-rule on (2257) yields:
% 52.37/15.20  									| (2258)  ~ (all_0_10_10 = 0) | ( ~ (all_67_0_1096 = 0) & s(all_67_1_1097) = all_67_0_1096)
% 52.37/15.20  									| (2259) all_0_10_10 = 0 | (all_67_0_1096 = 0 & s(all_67_1_1097) = 0)
% 52.37/15.20  									|
% 52.37/15.20  									+-Applying beta-rule and splitting (2259), into two cases.
% 52.37/15.20  									|-Branch one:
% 52.37/15.20  									| (58) all_0_10_10 = 0
% 52.37/15.20  									|
% 52.37/15.20  										| Equations (58) can reduce 52 to:
% 52.37/15.20  										| (59) $false
% 52.37/15.20  										|
% 52.37/15.20  										|-The branch is then unsatisfiable
% 52.37/15.20  									|-Branch two:
% 52.37/15.20  									| (52)  ~ (all_0_10_10 = 0)
% 52.37/15.20  									| (2263) all_67_0_1096 = 0 & s(all_67_1_1097) = 0
% 52.37/15.20  									|
% 52.37/15.20  										| Applying alpha-rule on (2263) yields:
% 52.37/15.20  										| (2264) all_67_0_1096 = 0
% 52.37/15.20  										| (2265) s(all_67_1_1097) = 0
% 52.37/15.20  										|
% 52.37/15.20  										+-Applying beta-rule and splitting (2208), into two cases.
% 52.37/15.20  										|-Branch one:
% 52.37/15.20  										| (2218) all_56_0_1084 = 0
% 52.37/15.20  										|
% 52.37/15.20  											| Equations (2218) can reduce 2203 to:
% 52.37/15.20  											| (59) $false
% 52.37/15.20  											|
% 52.37/15.20  											|-The branch is then unsatisfiable
% 52.37/15.20  										|-Branch two:
% 52.37/15.20  										| (2203)  ~ (all_56_0_1084 = 0)
% 52.37/15.20  										| (2221) all_63_0_1086 = 0 & q(all_63_1_1087) = 0
% 52.37/15.20  										|
% 52.37/15.20  											+-Applying beta-rule and splitting (1510), into two cases.
% 52.37/15.20  											|-Branch one:
% 52.37/15.20  											| (1519) all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 52.37/15.20  											|
% 52.37/15.20  												| Applying alpha-rule on (1519) yields:
% 52.37/15.20  												| (74) all_0_14_14 = 0
% 52.37/15.20  												| (1521) s(all_0_15_15) = 0
% 52.37/15.20  												| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 52.37/15.20  												|
% 52.37/15.20  												| Instantiating formula (61) with all_0_0_0, all_0_1_1 and discharging atoms p(all_0_1_1) = all_0_0_0, yields:
% 52.37/15.20  												| (63) all_0_0_0 = 0
% 52.37/15.20  												|
% 52.37/15.20  												| From (63) and (12) follows:
% 52.37/15.20  												| (64) p(all_0_1_1) = 0
% 52.37/15.20  												|
% 52.37/15.20  												+-Applying beta-rule and splitting (1547), into two cases.
% 52.37/15.20  												|-Branch one:
% 52.37/15.20  												| (1563) all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 52.37/15.20  												|
% 52.37/15.20  													| Applying alpha-rule on (1563) yields:
% 52.37/15.20  													| (81) all_0_20_20 = 0
% 52.37/15.20  													| (1565) p(all_0_21_21) = 0
% 52.37/15.20  													| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 52.37/15.20  													|
% 52.37/15.20  													| Instantiating formula (77) with all_56_0_1084, all_56_1_1085 and discharging atoms q(all_56_1_1085) = all_56_0_1084, yields:
% 52.37/15.20  													| (2218) all_56_0_1084 = 0
% 52.37/15.20  													|
% 52.37/15.20  													| Equations (2218) can reduce 2203 to:
% 52.37/15.20  													| (59) $false
% 52.37/15.20  													|
% 52.37/15.20  													|-The branch is then unsatisfiable
% 52.37/15.20  												|-Branch two:
% 52.37/15.20  												| (1573)  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)
% 52.37/15.20  												|
% 52.37/15.20  													| Applying alpha-rule on (1573) yields:
% 52.37/15.20  													| (34)  ~ (all_0_20_20 = 0)
% 52.37/15.20  													| (1528) q(all_0_21_21) = all_0_20_20
% 52.37/15.20  													| (78)  ! [v0] :  ~ (p(v0) = 0)
% 52.37/15.20  													|
% 52.37/15.20  													| Instantiating formula (78) with all_0_1_1 and discharging atoms p(all_0_1_1) = 0, yields:
% 52.37/15.20  													| (79) $false
% 52.37/15.20  													|
% 52.37/15.20  													|-The branch is then unsatisfiable
% 52.37/15.20  											|-Branch two:
% 52.37/15.20  											| (1540)  ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0)
% 52.37/15.20  											|
% 52.37/15.20  												| Applying alpha-rule on (1540) yields:
% 52.37/15.20  												| (67)  ~ (all_0_14_14 = 0)
% 52.37/15.20  												| (475) p(all_0_15_15) = all_0_14_14
% 52.37/15.20  												| (62)  ! [v0] :  ~ (s(v0) = 0)
% 52.37/15.20  												|
% 52.37/15.20  												| Instantiating formula (62) with all_67_1_1097 and discharging atoms s(all_67_1_1097) = 0, yields:
% 52.37/15.20  												| (79) $false
% 52.37/15.20  												|
% 52.37/15.20  												|-The branch is then unsatisfiable
% 52.37/15.20  							|-Branch two:
% 52.37/15.20  							| (1583) ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))
% 52.37/15.20  							|
% 52.37/15.20  								| Applying alpha-rule on (1583) yields:
% 52.37/15.20  								| (1584) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))
% 52.37/15.20  								| (1585) (s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))
% 52.37/15.20  								|
% 52.37/15.20  								+-Applying beta-rule and splitting (1585), into two cases.
% 52.37/15.20  								|-Branch one:
% 52.37/15.20  								| (1586) s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))
% 52.37/15.20  								|
% 52.37/15.20  									| Applying alpha-rule on (1586) yields:
% 52.37/15.20  									| (1587) s(all_0_15_15) = all_0_14_14
% 52.37/15.20  									| (1588)  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 52.37/15.20  									| (1589)  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0))
% 52.37/15.20  									| (1590) (all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0))
% 52.37/15.20  									|
% 52.37/15.20  									| Instantiating formula (1588) with all_0_10_10, all_0_11_11 and discharging atoms s(all_0_11_11) = all_0_10_10, yields:
% 52.37/15.20  									| (1767)  ~ (all_0_14_14 = 0) | all_0_10_10 = 0
% 52.37/15.20  									|
% 52.37/15.20  									+-Applying beta-rule and splitting (2208), into two cases.
% 52.37/15.20  									|-Branch one:
% 52.37/15.20  									| (2218) all_56_0_1084 = 0
% 52.37/15.20  									|
% 52.37/15.20  										| Equations (2218) can reduce 2203 to:
% 52.37/15.20  										| (59) $false
% 52.37/15.20  										|
% 52.37/15.20  										|-The branch is then unsatisfiable
% 52.37/15.20  									|-Branch two:
% 52.37/15.20  									| (2203)  ~ (all_56_0_1084 = 0)
% 52.37/15.20  									| (2221) all_63_0_1086 = 0 & q(all_63_1_1087) = 0
% 52.37/15.20  									|
% 52.37/15.20  										+-Applying beta-rule and splitting (1767), into two cases.
% 52.37/15.20  										|-Branch one:
% 52.37/15.20  										| (67)  ~ (all_0_14_14 = 0)
% 52.37/15.20  										|
% 52.37/15.20  											+-Applying beta-rule and splitting (1584), into two cases.
% 52.37/15.20  											|-Branch one:
% 52.37/15.20  											| (1593) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20
% 52.37/15.20  											|
% 52.37/15.20  												| Applying alpha-rule on (1593) yields:
% 52.37/15.20  												| (33) all_0_18_18 = 0
% 52.37/15.20  												| (34)  ~ (all_0_20_20 = 0)
% 52.37/15.20  												| (1596) s(all_0_19_19) = 0
% 52.37/15.20  												| (1597) p(all_0_21_21) = all_0_20_20
% 52.37/15.20  												|
% 52.37/15.20  												| Instantiating formula (1589) with all_0_19_19 and discharging atoms s(all_0_19_19) = 0, yields:
% 52.37/15.20  												| (74) all_0_14_14 = 0
% 52.37/15.20  												|
% 52.37/15.20  												| Equations (74) can reduce 67 to:
% 52.37/15.20  												| (59) $false
% 52.37/15.20  												|
% 52.37/15.20  												|-The branch is then unsatisfiable
% 52.37/15.20  											|-Branch two:
% 52.37/15.20  											| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 52.37/15.20  											|
% 52.37/15.20  												| Applying alpha-rule on (60) yields:
% 52.37/15.20  												| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 52.37/15.20  												| (62)  ! [v0] :  ~ (s(v0) = 0)
% 52.37/15.20  												|
% 52.37/15.20  												| Instantiating formula (61) with all_0_0_0, all_0_1_1 and discharging atoms p(all_0_1_1) = all_0_0_0, yields:
% 52.37/15.20  												| (63) all_0_0_0 = 0
% 52.37/15.20  												|
% 52.37/15.20  												| From (63) and (12) follows:
% 52.37/15.20  												| (64) p(all_0_1_1) = 0
% 52.37/15.20  												|
% 52.37/15.20  												+-Applying beta-rule and splitting (1590), into two cases.
% 52.37/15.20  												|-Branch one:
% 52.37/15.20  												| (1599) all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 52.37/15.20  												|
% 52.37/15.20  													| Applying alpha-rule on (1599) yields:
% 52.37/15.20  													| (42) all_0_16_16 = 0
% 52.37/15.20  													| (1601) p(all_0_17_17) = 0
% 52.37/15.20  													| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 52.37/15.20  													|
% 52.37/15.20  													| Instantiating formula (77) with all_56_0_1084, all_56_1_1085 and discharging atoms q(all_56_1_1085) = all_56_0_1084, yields:
% 52.37/15.20  													| (2218) all_56_0_1084 = 0
% 52.37/15.20  													|
% 52.37/15.20  													| Equations (2218) can reduce 2203 to:
% 52.37/15.20  													| (59) $false
% 52.37/15.20  													|
% 52.37/15.20  													|-The branch is then unsatisfiable
% 52.37/15.20  												|-Branch two:
% 52.37/15.20  												| (1609)  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)
% 52.37/15.21  												|
% 52.37/15.21  													| Applying alpha-rule on (1609) yields:
% 52.37/15.21  													| (71)  ~ (all_0_16_16 = 0)
% 52.37/15.21  													| (23) q(all_0_17_17) = all_0_16_16
% 52.37/15.21  													| (78)  ! [v0] :  ~ (p(v0) = 0)
% 52.37/15.21  													|
% 52.37/15.21  													| Instantiating formula (78) with all_0_1_1 and discharging atoms p(all_0_1_1) = 0, yields:
% 52.37/15.21  													| (79) $false
% 52.37/15.21  													|
% 52.37/15.21  													|-The branch is then unsatisfiable
% 52.37/15.21  										|-Branch two:
% 52.37/15.21  										| (74) all_0_14_14 = 0
% 52.37/15.21  										| (58) all_0_10_10 = 0
% 52.37/15.21  										|
% 52.37/15.21  											| Equations (58) can reduce 52 to:
% 52.37/15.21  											| (59) $false
% 52.37/15.21  											|
% 52.37/15.21  											|-The branch is then unsatisfiable
% 52.37/15.21  								|-Branch two:
% 52.37/15.21  								| (1623)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 52.37/15.21  								|
% 52.37/15.21  									| Applying alpha-rule on (1623) yields:
% 52.37/15.21  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 52.37/15.21  									| (1625) (all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 52.37/15.21  									|
% 52.37/15.21  									| Instantiating formula (84) with all_0_10_10, all_0_11_11 and discharging atoms s(all_0_11_11) = all_0_10_10, yields:
% 52.37/15.21  									| (1726)  ? [v0] :  ? [v1] : (( ~ (all_0_10_10 = 0) | ( ~ (v1 = 0) & s(v0) = v1)) & (all_0_10_10 = 0 | (v1 = 0 & s(v0) = 0)))
% 52.37/15.21  									|
% 52.37/15.21  									| Instantiating (1726) with all_67_0_1122, all_67_1_1123 yields:
% 52.37/15.21  									| (2336) ( ~ (all_0_10_10 = 0) | ( ~ (all_67_0_1122 = 0) & s(all_67_1_1123) = all_67_0_1122)) & (all_0_10_10 = 0 | (all_67_0_1122 = 0 & s(all_67_1_1123) = 0))
% 52.37/15.21  									|
% 52.37/15.21  									| Applying alpha-rule on (2336) yields:
% 52.37/15.21  									| (2337)  ~ (all_0_10_10 = 0) | ( ~ (all_67_0_1122 = 0) & s(all_67_1_1123) = all_67_0_1122)
% 52.37/15.21  									| (2338) all_0_10_10 = 0 | (all_67_0_1122 = 0 & s(all_67_1_1123) = 0)
% 52.37/15.21  									|
% 52.37/15.21  									+-Applying beta-rule and splitting (2338), into two cases.
% 52.37/15.21  									|-Branch one:
% 52.37/15.21  									| (58) all_0_10_10 = 0
% 52.37/15.21  									|
% 52.37/15.21  										| Equations (58) can reduce 52 to:
% 52.37/15.21  										| (59) $false
% 52.37/15.21  										|
% 52.37/15.21  										|-The branch is then unsatisfiable
% 52.37/15.21  									|-Branch two:
% 52.37/15.21  									| (52)  ~ (all_0_10_10 = 0)
% 52.37/15.21  									| (2342) all_67_0_1122 = 0 & s(all_67_1_1123) = 0
% 52.37/15.21  									|
% 52.37/15.21  										| Applying alpha-rule on (2342) yields:
% 52.37/15.21  										| (2343) all_67_0_1122 = 0
% 52.37/15.21  										| (2344) s(all_67_1_1123) = 0
% 52.37/15.21  										|
% 52.37/15.21  										+-Applying beta-rule and splitting (2208), into two cases.
% 52.37/15.21  										|-Branch one:
% 52.37/15.21  										| (2218) all_56_0_1084 = 0
% 52.37/15.21  										|
% 52.37/15.21  											| Equations (2218) can reduce 2203 to:
% 52.37/15.21  											| (59) $false
% 52.37/15.21  											|
% 52.37/15.21  											|-The branch is then unsatisfiable
% 52.37/15.21  										|-Branch two:
% 52.37/15.21  										| (2203)  ~ (all_56_0_1084 = 0)
% 52.37/15.21  										| (2221) all_63_0_1086 = 0 & q(all_63_1_1087) = 0
% 52.37/15.21  										|
% 52.37/15.21  											+-Applying beta-rule and splitting (1584), into two cases.
% 52.37/15.21  											|-Branch one:
% 52.37/15.21  											| (1593) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20
% 52.37/15.21  											|
% 52.37/15.21  												| Applying alpha-rule on (1593) yields:
% 52.37/15.21  												| (33) all_0_18_18 = 0
% 52.37/15.21  												| (34)  ~ (all_0_20_20 = 0)
% 52.37/15.21  												| (1596) s(all_0_19_19) = 0
% 52.37/15.21  												| (1597) p(all_0_21_21) = all_0_20_20
% 52.37/15.21  												|
% 52.37/15.21  												| Instantiating formula (13) with all_0_20_20, all_0_21_21 and discharging atoms p(all_0_21_21) = all_0_20_20, yields:
% 52.37/15.21  												| (1598)  ~ (all_0_0_0 = 0) | all_0_20_20 = 0
% 52.37/15.21  												|
% 52.77/15.21  												+-Applying beta-rule and splitting (1598), into two cases.
% 52.77/15.21  												|-Branch one:
% 52.77/15.21  												| (102)  ~ (all_0_0_0 = 0)
% 52.77/15.21  												|
% 52.77/15.21  													+-Applying beta-rule and splitting (1625), into two cases.
% 52.77/15.21  													|-Branch one:
% 52.77/15.21  													| (1642) all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0
% 52.77/15.21  													|
% 52.77/15.21  														| Applying alpha-rule on (1642) yields:
% 52.77/15.21  														| (74) all_0_14_14 = 0
% 52.77/15.21  														| (71)  ~ (all_0_16_16 = 0)
% 52.77/15.21  														| (23) q(all_0_17_17) = all_0_16_16
% 52.77/15.21  														| (105) p(all_0_15_15) = 0
% 52.77/15.21  														|
% 52.77/15.21  														| Instantiating formula (14) with all_0_15_15 and discharging atoms p(all_0_15_15) = 0, yields:
% 52.77/15.21  														| (63) all_0_0_0 = 0
% 52.77/15.21  														|
% 52.77/15.21  														| Equations (63) can reduce 102 to:
% 52.77/15.21  														| (59) $false
% 52.77/15.21  														|
% 52.77/15.21  														|-The branch is then unsatisfiable
% 52.77/15.21  													|-Branch two:
% 52.77/15.21  													| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 52.77/15.21  													|
% 52.77/15.21  														| Applying alpha-rule on (76) yields:
% 52.77/15.21  														| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 52.77/15.21  														| (78)  ! [v0] :  ~ (p(v0) = 0)
% 52.77/15.21  														|
% 52.77/15.21  														| Instantiating formula (77) with all_56_0_1084, all_56_1_1085 and discharging atoms q(all_56_1_1085) = all_56_0_1084, yields:
% 52.77/15.21  														| (2218) all_56_0_1084 = 0
% 52.77/15.21  														|
% 52.77/15.21  														| Equations (2218) can reduce 2203 to:
% 52.77/15.21  														| (59) $false
% 52.77/15.21  														|
% 52.77/15.21  														|-The branch is then unsatisfiable
% 52.77/15.21  												|-Branch two:
% 52.77/15.21  												| (63) all_0_0_0 = 0
% 52.77/15.21  												| (81) all_0_20_20 = 0
% 52.77/15.21  												|
% 52.77/15.21  													| Equations (81) can reduce 34 to:
% 52.77/15.21  													| (59) $false
% 52.77/15.21  													|
% 52.77/15.21  													|-The branch is then unsatisfiable
% 52.77/15.21  											|-Branch two:
% 52.77/15.21  											| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 52.77/15.21  											|
% 52.77/15.21  												| Applying alpha-rule on (60) yields:
% 52.77/15.21  												| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 52.77/15.21  												| (62)  ! [v0] :  ~ (s(v0) = 0)
% 52.77/15.21  												|
% 52.77/15.21  												| Instantiating formula (62) with all_67_1_1123 and discharging atoms s(all_67_1_1123) = 0, yields:
% 52.77/15.21  												| (79) $false
% 52.77/15.21  												|
% 52.77/15.21  												|-The branch is then unsatisfiable
% 52.77/15.21  						|-Branch two:
% 52.77/15.21  						| (209)  ~ (all_0_2_2 = 0) & r(all_0_3_3) = all_0_2_2 &  ! [v0] :  ~ (q(v0) = 0)
% 52.77/15.21  						|
% 52.77/15.21  							| Applying alpha-rule on (209) yields:
% 52.77/15.21  							| (210)  ~ (all_0_2_2 = 0)
% 52.77/15.21  							| (211) r(all_0_3_3) = all_0_2_2
% 52.77/15.21  							| (212)  ! [v0] :  ~ (q(v0) = 0)
% 52.77/15.21  							|
% 52.77/15.21  							| Instantiating formula (1496) with all_0_2_2, all_0_3_3 and discharging atoms r(all_0_3_3) = all_0_2_2, yields:
% 52.77/15.21  							| (1661)  ~ (all_0_12_12 = 0) | all_0_2_2 = 0
% 52.77/15.21  							|
% 52.77/15.21  							+-Applying beta-rule and splitting (1661), into two cases.
% 52.77/15.21  							|-Branch one:
% 52.77/15.21  							| (135)  ~ (all_0_12_12 = 0)
% 52.77/15.21  							|
% 52.77/15.21  								| Equations (66) can reduce 135 to:
% 52.77/15.21  								| (59) $false
% 52.77/15.21  								|
% 52.77/15.21  								|-The branch is then unsatisfiable
% 52.77/15.21  							|-Branch two:
% 52.77/15.21  							| (66) all_0_12_12 = 0
% 52.77/15.21  							| (39) all_0_2_2 = 0
% 52.77/15.21  							|
% 52.77/15.21  								| Equations (39) can reduce 210 to:
% 52.77/15.21  								| (59) $false
% 52.77/15.21  								|
% 52.77/15.21  								|-The branch is then unsatisfiable
% 52.77/15.21  					|-Branch two:
% 52.77/15.21  					| (219)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)
% 52.77/15.21  					|
% 52.77/15.21  						| Applying alpha-rule on (219) yields:
% 52.77/15.21  						| (220)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))
% 52.77/15.21  						| (221)  ! [v0] :  ~ (r(v0) = 0)
% 52.77/15.21  						|
% 52.77/15.21  						+-Applying beta-rule and splitting (17), into two cases.
% 52.77/15.21  						|-Branch one:
% 52.77/15.21  						| (38) all_0_2_2 = 0 & q(all_0_3_3) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 52.77/15.21  						|
% 52.77/15.21  							| Applying alpha-rule on (38) yields:
% 52.77/15.21  							| (39) all_0_2_2 = 0
% 52.77/15.21  							| (40) q(all_0_3_3) = 0
% 52.77/15.21  							| (41)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 52.77/15.21  							|
% 52.77/15.21  							| Instantiating formula (41) with all_0_12_12, all_0_13_13 and discharging atoms r(all_0_13_13) = all_0_12_12, yields:
% 52.77/15.21  							| (66) all_0_12_12 = 0
% 52.77/15.21  							|
% 52.77/15.21  							| From (66) and (1495) follows:
% 52.77/15.21  							| (1676) r(all_0_13_13) = 0
% 52.77/15.21  							|
% 52.77/15.21  							| Instantiating formula (221) with all_0_13_13 and discharging atoms r(all_0_13_13) = 0, yields:
% 52.77/15.21  							| (79) $false
% 52.77/15.21  							|
% 52.77/15.21  							|-The branch is then unsatisfiable
% 52.77/15.21  						|-Branch two:
% 52.77/15.21  						| (209)  ~ (all_0_2_2 = 0) & r(all_0_3_3) = all_0_2_2 &  ! [v0] :  ~ (q(v0) = 0)
% 52.77/15.21  						|
% 52.77/15.21  							| Applying alpha-rule on (209) yields:
% 52.77/15.21  							| (210)  ~ (all_0_2_2 = 0)
% 52.77/15.21  							| (211) r(all_0_3_3) = all_0_2_2
% 52.77/15.21  							| (212)  ! [v0] :  ~ (q(v0) = 0)
% 52.77/15.21  							|
% 52.77/15.21  							+-Applying beta-rule and splitting (1498), into two cases.
% 52.77/15.21  							|-Branch one:
% 52.77/15.21  							| (1509) ((all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))
% 52.77/15.21  							|
% 52.77/15.21  								| Applying alpha-rule on (1509) yields:
% 52.77/15.21  								| (1510) (all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))
% 52.77/15.21  								| (1511) (s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))))
% 52.77/15.21  								|
% 52.77/15.21  								+-Applying beta-rule and splitting (1511), into two cases.
% 52.77/15.21  								|-Branch one:
% 52.77/15.21  								| (1512) s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 52.77/15.21  								|
% 52.77/15.21  									| Applying alpha-rule on (1512) yields:
% 52.77/15.22  									| (1513) s(all_0_17_17) = all_0_16_16
% 52.77/15.22  									| (1514)  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 52.77/15.22  									| (1515)  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0))
% 52.77/15.22  									| (1516) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 52.77/15.22  									|
% 52.77/15.22  									| Instantiating formula (220) with all_0_16_16, all_0_17_17 and discharging atoms s(all_0_17_17) = all_0_16_16, yields:
% 52.77/15.22  									| (42) all_0_16_16 = 0
% 52.77/15.22  									|
% 52.77/15.22  									| From (42) and (1513) follows:
% 52.77/15.22  									| (1518) s(all_0_17_17) = 0
% 52.77/15.22  									|
% 52.77/15.22  									+-Applying beta-rule and splitting (1510), into two cases.
% 52.77/15.22  									|-Branch one:
% 52.77/15.22  									| (1519) all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 52.77/15.22  									|
% 52.77/15.22  										| Applying alpha-rule on (1519) yields:
% 52.77/15.22  										| (74) all_0_14_14 = 0
% 52.77/15.22  										| (1521) s(all_0_15_15) = 0
% 52.77/15.22  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 52.77/15.22  										|
% 52.77/15.22  										| Instantiating formula (61) with all_0_0_0, all_0_1_1 and discharging atoms p(all_0_1_1) = all_0_0_0, yields:
% 52.77/15.22  										| (63) all_0_0_0 = 0
% 52.77/15.22  										|
% 52.77/15.22  										| From (63) and (12) follows:
% 52.77/15.22  										| (64) p(all_0_1_1) = 0
% 52.77/15.22  										|
% 52.77/15.22  										+-Applying beta-rule and splitting (1516), into two cases.
% 52.77/15.22  										|-Branch one:
% 52.77/15.22  										| (1525) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0
% 52.77/15.22  										|
% 52.77/15.22  											| Applying alpha-rule on (1525) yields:
% 52.77/15.22  											| (33) all_0_18_18 = 0
% 52.77/15.22  											| (34)  ~ (all_0_20_20 = 0)
% 52.77/15.22  											| (1528) q(all_0_21_21) = all_0_20_20
% 52.77/15.22  											| (1529) p(all_0_19_19) = 0
% 52.77/15.22  											|
% 52.77/15.22  											| Instantiating formula (717) with all_0_20_20, all_0_21_21 and discharging atoms q(all_0_21_21) = all_0_20_20, yields:
% 52.77/15.22  											| (2420)  ? [v0] :  ? [v1] : (( ~ (all_0_20_20 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_0_20_20 = 0 | (v1 = 0 & q(v0) = 0)))
% 52.77/15.22  											|
% 52.77/15.22  											| Instantiating (2420) with all_82_0_1140, all_82_1_1141 yields:
% 52.77/15.22  											| (2421) ( ~ (all_0_20_20 = 0) | ( ~ (all_82_0_1140 = 0) & q(all_82_1_1141) = all_82_0_1140)) & (all_0_20_20 = 0 | (all_82_0_1140 = 0 & q(all_82_1_1141) = 0))
% 52.77/15.22  											|
% 52.77/15.22  											| Applying alpha-rule on (2421) yields:
% 52.77/15.22  											| (2422)  ~ (all_0_20_20 = 0) | ( ~ (all_82_0_1140 = 0) & q(all_82_1_1141) = all_82_0_1140)
% 52.77/15.22  											| (2423) all_0_20_20 = 0 | (all_82_0_1140 = 0 & q(all_82_1_1141) = 0)
% 52.77/15.22  											|
% 52.77/15.22  											+-Applying beta-rule and splitting (2423), into two cases.
% 52.77/15.22  											|-Branch one:
% 52.77/15.22  											| (81) all_0_20_20 = 0
% 52.77/15.22  											|
% 52.77/15.22  												| Equations (81) can reduce 34 to:
% 52.77/15.22  												| (59) $false
% 52.77/15.22  												|
% 52.77/15.22  												|-The branch is then unsatisfiable
% 52.77/15.22  											|-Branch two:
% 52.77/15.22  											| (34)  ~ (all_0_20_20 = 0)
% 52.77/15.22  											| (2427) all_82_0_1140 = 0 & q(all_82_1_1141) = 0
% 52.77/15.22  											|
% 52.77/15.22  												| Applying alpha-rule on (2427) yields:
% 52.77/15.22  												| (2428) all_82_0_1140 = 0
% 52.77/15.22  												| (2429) q(all_82_1_1141) = 0
% 52.77/15.22  												|
% 52.77/15.22  												| Instantiating formula (212) with all_82_1_1141 and discharging atoms q(all_82_1_1141) = 0, yields:
% 52.77/15.22  												| (79) $false
% 52.77/15.22  												|
% 52.77/15.22  												|-The branch is then unsatisfiable
% 52.77/15.22  										|-Branch two:
% 52.77/15.22  										| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 52.77/15.22  										|
% 52.77/15.22  											| Applying alpha-rule on (76) yields:
% 52.77/15.22  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 52.77/15.22  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 52.77/15.22  											|
% 52.77/15.22  											| Instantiating formula (78) with all_0_1_1 and discharging atoms p(all_0_1_1) = 0, yields:
% 52.77/15.22  											| (79) $false
% 52.77/15.22  											|
% 52.77/15.22  											|-The branch is then unsatisfiable
% 52.77/15.22  									|-Branch two:
% 52.77/15.22  									| (1540)  ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0)
% 52.77/15.22  									|
% 52.77/15.22  										| Applying alpha-rule on (1540) yields:
% 52.77/15.22  										| (67)  ~ (all_0_14_14 = 0)
% 52.77/15.22  										| (475) p(all_0_15_15) = all_0_14_14
% 52.77/15.22  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 52.77/15.22  										|
% 52.77/15.22  										| Instantiating formula (62) with all_0_17_17 and discharging atoms s(all_0_17_17) = 0, yields:
% 52.77/15.22  										| (79) $false
% 52.77/15.22  										|
% 52.77/15.22  										|-The branch is then unsatisfiable
% 52.77/15.22  								|-Branch two:
% 52.77/15.22  								| (1545)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))
% 52.77/15.22  								|
% 52.77/15.22  									| Applying alpha-rule on (1545) yields:
% 52.77/15.22  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 52.77/15.22  									| (1547) (all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))
% 52.77/15.22  									|
% 52.77/15.22  									+-Applying beta-rule and splitting (1510), into two cases.
% 52.77/15.22  									|-Branch one:
% 52.77/15.22  									| (1519) all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 52.77/15.22  									|
% 52.77/15.22  										| Applying alpha-rule on (1519) yields:
% 52.77/15.22  										| (74) all_0_14_14 = 0
% 52.77/15.22  										| (1521) s(all_0_15_15) = 0
% 52.77/15.22  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 52.77/15.22  										|
% 52.77/15.22  										| Instantiating formula (84) with 0, all_0_15_15 and discharging atoms s(all_0_15_15) = 0, yields:
% 52.77/15.22  										| (278)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & s(v0) = v1)
% 52.77/15.22  										|
% 52.77/15.22  										| Instantiating (278) with all_67_0_1142, all_67_1_1143 yields:
% 52.77/15.22  										| (2448)  ~ (all_67_0_1142 = 0) & s(all_67_1_1143) = all_67_0_1142
% 52.77/15.22  										|
% 52.77/15.22  										| Applying alpha-rule on (2448) yields:
% 52.77/15.22  										| (2449)  ~ (all_67_0_1142 = 0)
% 52.77/15.22  										| (2450) s(all_67_1_1143) = all_67_0_1142
% 52.77/15.22  										|
% 52.77/15.22  										| Instantiating formula (220) with all_67_0_1142, all_67_1_1143 and discharging atoms s(all_67_1_1143) = all_67_0_1142, yields:
% 52.77/15.22  										| (2451) all_67_0_1142 = 0
% 52.77/15.22  										|
% 52.77/15.22  										| Equations (2451) can reduce 2449 to:
% 52.77/15.22  										| (59) $false
% 52.77/15.22  										|
% 52.77/15.22  										|-The branch is then unsatisfiable
% 52.77/15.22  									|-Branch two:
% 52.77/15.22  									| (1540)  ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0)
% 52.77/15.22  									|
% 52.77/15.22  										| Applying alpha-rule on (1540) yields:
% 52.77/15.22  										| (67)  ~ (all_0_14_14 = 0)
% 52.77/15.22  										| (475) p(all_0_15_15) = all_0_14_14
% 52.77/15.22  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 52.77/15.22  										|
% 52.77/15.22  										| Instantiating formula (13) with all_0_14_14, all_0_15_15 and discharging atoms p(all_0_15_15) = all_0_14_14, yields:
% 52.77/15.22  										| (476)  ~ (all_0_0_0 = 0) | all_0_14_14 = 0
% 52.77/15.22  										|
% 52.77/15.22  										+-Applying beta-rule and splitting (1547), into two cases.
% 52.77/15.22  										|-Branch one:
% 52.77/15.22  										| (1563) all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 52.77/15.22  										|
% 52.77/15.22  											| Applying alpha-rule on (1563) yields:
% 52.77/15.22  											| (81) all_0_20_20 = 0
% 52.77/15.22  											| (1565) p(all_0_21_21) = 0
% 52.77/15.22  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 52.77/15.22  											|
% 52.77/15.22  											+-Applying beta-rule and splitting (476), into two cases.
% 52.77/15.22  											|-Branch one:
% 52.77/15.22  											| (102)  ~ (all_0_0_0 = 0)
% 52.77/15.22  											|
% 52.77/15.22  												| Instantiating formula (14) with all_0_21_21 and discharging atoms p(all_0_21_21) = 0, yields:
% 52.77/15.22  												| (63) all_0_0_0 = 0
% 52.77/15.22  												|
% 52.77/15.22  												| Equations (63) can reduce 102 to:
% 52.77/15.22  												| (59) $false
% 52.77/15.22  												|
% 52.77/15.22  												|-The branch is then unsatisfiable
% 52.77/15.22  											|-Branch two:
% 52.77/15.22  											| (63) all_0_0_0 = 0
% 52.77/15.22  											| (74) all_0_14_14 = 0
% 52.77/15.22  											|
% 52.77/15.22  												| Equations (74) can reduce 67 to:
% 52.77/15.22  												| (59) $false
% 52.77/15.22  												|
% 52.77/15.22  												|-The branch is then unsatisfiable
% 52.77/15.22  										|-Branch two:
% 52.77/15.22  										| (1573)  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)
% 52.77/15.22  										|
% 52.77/15.22  											| Applying alpha-rule on (1573) yields:
% 52.77/15.22  											| (34)  ~ (all_0_20_20 = 0)
% 52.77/15.22  											| (1528) q(all_0_21_21) = all_0_20_20
% 52.77/15.22  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 52.77/15.22  											|
% 52.77/15.22  											| Instantiating formula (717) with all_0_20_20, all_0_21_21 and discharging atoms q(all_0_21_21) = all_0_20_20, yields:
% 52.77/15.22  											| (2420)  ? [v0] :  ? [v1] : (( ~ (all_0_20_20 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_0_20_20 = 0 | (v1 = 0 & q(v0) = 0)))
% 52.77/15.22  											|
% 52.77/15.22  											| Instantiating (2420) with all_78_0_1144, all_78_1_1145 yields:
% 52.77/15.22  											| (2473) ( ~ (all_0_20_20 = 0) | ( ~ (all_78_0_1144 = 0) & q(all_78_1_1145) = all_78_0_1144)) & (all_0_20_20 = 0 | (all_78_0_1144 = 0 & q(all_78_1_1145) = 0))
% 52.77/15.22  											|
% 52.77/15.22  											| Applying alpha-rule on (2473) yields:
% 52.77/15.22  											| (2474)  ~ (all_0_20_20 = 0) | ( ~ (all_78_0_1144 = 0) & q(all_78_1_1145) = all_78_0_1144)
% 52.77/15.22  											| (2475) all_0_20_20 = 0 | (all_78_0_1144 = 0 & q(all_78_1_1145) = 0)
% 52.77/15.22  											|
% 52.77/15.22  											+-Applying beta-rule and splitting (2475), into two cases.
% 52.77/15.22  											|-Branch one:
% 52.77/15.22  											| (81) all_0_20_20 = 0
% 52.77/15.22  											|
% 52.77/15.22  												| Equations (81) can reduce 34 to:
% 52.77/15.22  												| (59) $false
% 52.77/15.22  												|
% 52.77/15.22  												|-The branch is then unsatisfiable
% 52.77/15.22  											|-Branch two:
% 52.77/15.22  											| (34)  ~ (all_0_20_20 = 0)
% 52.77/15.22  											| (2479) all_78_0_1144 = 0 & q(all_78_1_1145) = 0
% 52.77/15.22  											|
% 52.77/15.22  												| Applying alpha-rule on (2479) yields:
% 52.77/15.22  												| (2480) all_78_0_1144 = 0
% 52.77/15.22  												| (2481) q(all_78_1_1145) = 0
% 52.77/15.22  												|
% 52.77/15.22  												| Instantiating formula (212) with all_78_1_1145 and discharging atoms q(all_78_1_1145) = 0, yields:
% 52.77/15.22  												| (79) $false
% 52.77/15.22  												|
% 52.77/15.22  												|-The branch is then unsatisfiable
% 52.77/15.22  							|-Branch two:
% 52.77/15.22  							| (1583) ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))
% 52.77/15.23  							|
% 52.77/15.23  								| Applying alpha-rule on (1583) yields:
% 52.77/15.23  								| (1584) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))
% 52.77/15.23  								| (1585) (s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))
% 52.77/15.23  								|
% 52.77/15.23  								+-Applying beta-rule and splitting (1585), into two cases.
% 52.77/15.23  								|-Branch one:
% 52.77/15.23  								| (1586) s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))
% 52.77/15.23  								|
% 52.77/15.23  									| Applying alpha-rule on (1586) yields:
% 52.77/15.23  									| (1587) s(all_0_15_15) = all_0_14_14
% 52.77/15.23  									| (1588)  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 52.77/15.23  									| (1589)  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0))
% 52.77/15.23  									| (1590) (all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0))
% 52.77/15.23  									|
% 52.77/15.23  									| Instantiating formula (220) with all_0_14_14, all_0_15_15 and discharging atoms s(all_0_15_15) = all_0_14_14, yields:
% 52.77/15.23  									| (74) all_0_14_14 = 0
% 52.77/15.23  									|
% 52.77/15.23  									| From (74) and (1587) follows:
% 52.77/15.23  									| (1521) s(all_0_15_15) = 0
% 52.77/15.23  									|
% 52.77/15.23  									+-Applying beta-rule and splitting (1584), into two cases.
% 52.77/15.23  									|-Branch one:
% 52.77/15.23  									| (1593) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20
% 52.77/15.23  									|
% 52.77/15.23  										| Applying alpha-rule on (1593) yields:
% 52.77/15.23  										| (33) all_0_18_18 = 0
% 52.77/15.23  										| (34)  ~ (all_0_20_20 = 0)
% 52.77/15.23  										| (1596) s(all_0_19_19) = 0
% 52.77/15.23  										| (1597) p(all_0_21_21) = all_0_20_20
% 52.77/15.23  										|
% 52.77/15.23  										| Instantiating formula (13) with all_0_20_20, all_0_21_21 and discharging atoms p(all_0_21_21) = all_0_20_20, yields:
% 52.77/15.23  										| (1598)  ~ (all_0_0_0 = 0) | all_0_20_20 = 0
% 52.77/15.23  										|
% 52.77/15.23  										+-Applying beta-rule and splitting (1590), into two cases.
% 52.77/15.23  										|-Branch one:
% 52.77/15.23  										| (1599) all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 52.77/15.23  										|
% 52.77/15.23  											| Applying alpha-rule on (1599) yields:
% 52.77/15.23  											| (42) all_0_16_16 = 0
% 52.77/15.23  											| (1601) p(all_0_17_17) = 0
% 52.77/15.23  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 52.77/15.23  											|
% 52.77/15.23  											+-Applying beta-rule and splitting (1598), into two cases.
% 52.77/15.23  											|-Branch one:
% 52.77/15.23  											| (102)  ~ (all_0_0_0 = 0)
% 52.77/15.23  											|
% 52.77/15.23  												| Instantiating formula (14) with all_0_17_17 and discharging atoms p(all_0_17_17) = 0, yields:
% 52.77/15.23  												| (63) all_0_0_0 = 0
% 52.77/15.23  												|
% 52.77/15.23  												| Equations (63) can reduce 102 to:
% 52.77/15.23  												| (59) $false
% 52.77/15.23  												|
% 52.77/15.23  												|-The branch is then unsatisfiable
% 52.77/15.23  											|-Branch two:
% 52.77/15.23  											| (63) all_0_0_0 = 0
% 52.77/15.23  											| (81) all_0_20_20 = 0
% 52.77/15.23  											|
% 52.77/15.23  												| Equations (81) can reduce 34 to:
% 52.77/15.23  												| (59) $false
% 52.77/15.23  												|
% 52.77/15.23  												|-The branch is then unsatisfiable
% 52.77/15.23  										|-Branch two:
% 52.77/15.23  										| (1609)  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)
% 52.77/15.23  										|
% 52.77/15.23  											| Applying alpha-rule on (1609) yields:
% 52.77/15.23  											| (71)  ~ (all_0_16_16 = 0)
% 52.77/15.23  											| (23) q(all_0_17_17) = all_0_16_16
% 52.77/15.23  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 52.77/15.23  											|
% 52.77/15.23  											| Instantiating formula (717) with all_0_16_16, all_0_17_17 and discharging atoms q(all_0_17_17) = all_0_16_16, yields:
% 52.77/15.23  											| (2513)  ? [v0] :  ? [v1] : (( ~ (all_0_16_16 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_0_16_16 = 0 | (v1 = 0 & q(v0) = 0)))
% 52.77/15.23  											|
% 52.77/15.23  											| Instantiating (2513) with all_85_0_1146, all_85_1_1147 yields:
% 52.77/15.23  											| (2514) ( ~ (all_0_16_16 = 0) | ( ~ (all_85_0_1146 = 0) & q(all_85_1_1147) = all_85_0_1146)) & (all_0_16_16 = 0 | (all_85_0_1146 = 0 & q(all_85_1_1147) = 0))
% 52.77/15.23  											|
% 52.77/15.23  											| Applying alpha-rule on (2514) yields:
% 52.77/15.23  											| (2515)  ~ (all_0_16_16 = 0) | ( ~ (all_85_0_1146 = 0) & q(all_85_1_1147) = all_85_0_1146)
% 52.77/15.23  											| (2516) all_0_16_16 = 0 | (all_85_0_1146 = 0 & q(all_85_1_1147) = 0)
% 52.77/15.23  											|
% 52.77/15.23  											+-Applying beta-rule and splitting (2516), into two cases.
% 52.77/15.23  											|-Branch one:
% 52.77/15.23  											| (42) all_0_16_16 = 0
% 52.77/15.23  											|
% 52.77/15.23  												| Equations (42) can reduce 71 to:
% 52.77/15.23  												| (59) $false
% 52.77/15.23  												|
% 52.77/15.23  												|-The branch is then unsatisfiable
% 52.77/15.23  											|-Branch two:
% 52.77/15.23  											| (71)  ~ (all_0_16_16 = 0)
% 52.77/15.23  											| (2520) all_85_0_1146 = 0 & q(all_85_1_1147) = 0
% 52.77/15.23  											|
% 52.77/15.23  												| Applying alpha-rule on (2520) yields:
% 52.77/15.23  												| (2521) all_85_0_1146 = 0
% 52.77/15.23  												| (2522) q(all_85_1_1147) = 0
% 52.77/15.23  												|
% 52.77/15.23  												| Instantiating formula (212) with all_85_1_1147 and discharging atoms q(all_85_1_1147) = 0, yields:
% 52.77/15.23  												| (79) $false
% 52.77/15.23  												|
% 52.77/15.23  												|-The branch is then unsatisfiable
% 52.77/15.23  									|-Branch two:
% 52.77/15.23  									| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 52.77/15.23  									|
% 52.77/15.23  										| Applying alpha-rule on (60) yields:
% 52.77/15.23  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 52.77/15.23  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 52.77/15.23  										|
% 52.77/15.23  										| Instantiating formula (62) with all_0_15_15 and discharging atoms s(all_0_15_15) = 0, yields:
% 52.77/15.23  										| (79) $false
% 52.77/15.23  										|
% 52.77/15.23  										|-The branch is then unsatisfiable
% 52.77/15.23  								|-Branch two:
% 52.77/15.23  								| (1623)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 52.77/15.23  								|
% 52.77/15.23  									| Applying alpha-rule on (1623) yields:
% 52.77/15.23  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 52.77/15.23  									| (1625) (all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 52.77/15.23  									|
% 52.77/15.23  									+-Applying beta-rule and splitting (1584), into two cases.
% 52.77/15.23  									|-Branch one:
% 52.77/15.23  									| (1593) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20
% 52.77/15.23  									|
% 52.77/15.23  										| Applying alpha-rule on (1593) yields:
% 52.77/15.23  										| (33) all_0_18_18 = 0
% 52.77/15.23  										| (34)  ~ (all_0_20_20 = 0)
% 52.77/15.23  										| (1596) s(all_0_19_19) = 0
% 52.77/15.23  										| (1597) p(all_0_21_21) = all_0_20_20
% 52.77/15.23  										|
% 52.77/15.23  										| Instantiating formula (84) with 0, all_0_19_19 and discharging atoms s(all_0_19_19) = 0, yields:
% 52.77/15.23  										| (278)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & s(v0) = v1)
% 52.77/15.23  										|
% 52.77/15.23  										| Instantiating (278) with all_65_0_1148, all_65_1_1149 yields:
% 52.77/15.23  										| (2537)  ~ (all_65_0_1148 = 0) & s(all_65_1_1149) = all_65_0_1148
% 52.77/15.23  										|
% 52.77/15.23  										| Applying alpha-rule on (2537) yields:
% 52.77/15.23  										| (2538)  ~ (all_65_0_1148 = 0)
% 52.77/15.23  										| (2539) s(all_65_1_1149) = all_65_0_1148
% 52.77/15.23  										|
% 52.77/15.23  										| Instantiating formula (220) with all_65_0_1148, all_65_1_1149 and discharging atoms s(all_65_1_1149) = all_65_0_1148, yields:
% 52.77/15.23  										| (2540) all_65_0_1148 = 0
% 52.77/15.23  										|
% 52.77/15.23  										| Equations (2540) can reduce 2538 to:
% 52.77/15.23  										| (59) $false
% 52.77/15.23  										|
% 52.77/15.23  										|-The branch is then unsatisfiable
% 52.77/15.23  									|-Branch two:
% 52.77/15.23  									| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 52.77/15.23  									|
% 52.77/15.23  										| Applying alpha-rule on (60) yields:
% 52.77/15.23  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 52.77/15.23  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 52.77/15.23  										|
% 52.77/15.23  										| Instantiating formula (61) with all_0_0_0, all_0_1_1 and discharging atoms p(all_0_1_1) = all_0_0_0, yields:
% 52.77/15.23  										| (63) all_0_0_0 = 0
% 52.77/15.23  										|
% 52.77/15.23  										| From (63) and (12) follows:
% 52.77/15.23  										| (64) p(all_0_1_1) = 0
% 52.77/15.23  										|
% 52.77/15.23  										+-Applying beta-rule and splitting (1625), into two cases.
% 52.77/15.23  										|-Branch one:
% 52.77/15.23  										| (1642) all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0
% 52.77/15.23  										|
% 52.77/15.23  											| Applying alpha-rule on (1642) yields:
% 52.77/15.23  											| (74) all_0_14_14 = 0
% 52.77/15.23  											| (71)  ~ (all_0_16_16 = 0)
% 52.77/15.23  											| (23) q(all_0_17_17) = all_0_16_16
% 52.77/15.23  											| (105) p(all_0_15_15) = 0
% 52.77/15.23  											|
% 52.77/15.23  											| Instantiating formula (717) with all_0_16_16, all_0_17_17 and discharging atoms q(all_0_17_17) = all_0_16_16, yields:
% 52.77/15.23  											| (2513)  ? [v0] :  ? [v1] : (( ~ (all_0_16_16 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_0_16_16 = 0 | (v1 = 0 & q(v0) = 0)))
% 52.77/15.23  											|
% 52.77/15.23  											| Instantiating (2513) with all_73_0_1150, all_73_1_1151 yields:
% 52.77/15.23  											| (2553) ( ~ (all_0_16_16 = 0) | ( ~ (all_73_0_1150 = 0) & q(all_73_1_1151) = all_73_0_1150)) & (all_0_16_16 = 0 | (all_73_0_1150 = 0 & q(all_73_1_1151) = 0))
% 52.77/15.23  											|
% 52.77/15.23  											| Applying alpha-rule on (2553) yields:
% 52.77/15.23  											| (2554)  ~ (all_0_16_16 = 0) | ( ~ (all_73_0_1150 = 0) & q(all_73_1_1151) = all_73_0_1150)
% 52.77/15.23  											| (2555) all_0_16_16 = 0 | (all_73_0_1150 = 0 & q(all_73_1_1151) = 0)
% 52.77/15.23  											|
% 52.77/15.23  											+-Applying beta-rule and splitting (2555), into two cases.
% 52.77/15.23  											|-Branch one:
% 52.77/15.23  											| (42) all_0_16_16 = 0
% 52.77/15.23  											|
% 52.77/15.23  												| Equations (42) can reduce 71 to:
% 52.77/15.23  												| (59) $false
% 52.77/15.23  												|
% 52.77/15.23  												|-The branch is then unsatisfiable
% 52.77/15.23  											|-Branch two:
% 52.77/15.23  											| (71)  ~ (all_0_16_16 = 0)
% 52.77/15.23  											| (2559) all_73_0_1150 = 0 & q(all_73_1_1151) = 0
% 52.77/15.23  											|
% 52.77/15.23  												| Applying alpha-rule on (2559) yields:
% 52.77/15.23  												| (2560) all_73_0_1150 = 0
% 52.77/15.24  												| (2561) q(all_73_1_1151) = 0
% 52.77/15.24  												|
% 52.77/15.24  												| Instantiating formula (212) with all_73_1_1151 and discharging atoms q(all_73_1_1151) = 0, yields:
% 52.77/15.24  												| (79) $false
% 52.77/15.24  												|
% 52.77/15.24  												|-The branch is then unsatisfiable
% 52.77/15.24  										|-Branch two:
% 52.77/15.24  										| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 52.77/15.24  										|
% 52.77/15.24  											| Applying alpha-rule on (76) yields:
% 52.77/15.24  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 52.77/15.24  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 52.77/15.24  											|
% 52.77/15.24  											| Instantiating formula (78) with all_0_1_1 and discharging atoms p(all_0_1_1) = 0, yields:
% 52.77/15.24  											| (79) $false
% 52.77/15.24  											|
% 52.77/15.24  											|-The branch is then unsatisfiable
% 52.77/15.24  				|-Branch two:
% 52.77/15.24  				| (1836)  ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))
% 52.77/15.24  				|
% 52.77/15.24  					| Applying alpha-rule on (1836) yields:
% 52.77/15.24  					| (370)  ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0))))
% 52.77/15.24  					| (1838) (((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))
% 52.77/15.24  					|
% 52.77/15.24  					+-Applying beta-rule and splitting (2185), into two cases.
% 52.77/15.24  					|-Branch one:
% 52.77/15.24  					| (2191) all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 & r(all_0_9_9) = 0
% 52.77/15.24  					|
% 52.77/15.24  						| Applying alpha-rule on (2191) yields:
% 52.77/15.24  						| (120) all_0_8_8 = 0
% 52.77/15.24  						| (52)  ~ (all_0_10_10 = 0)
% 52.77/15.24  						| (47) s(all_0_11_11) = all_0_10_10
% 52.77/15.24  						| (2195) r(all_0_9_9) = 0
% 52.77/15.24  						|
% 52.77/15.24  						| Instantiating formula (370) with 0, all_0_9_9 and discharging atoms r(all_0_9_9) = 0, yields:
% 52.77/15.24  						| (377)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & r(v0) = v1)
% 52.77/15.24  						|
% 52.77/15.24  						| Instantiating (377) with all_40_0_1152, all_40_1_1153 yields:
% 52.77/15.24  						| (2576)  ~ (all_40_0_1152 = 0) & r(all_40_1_1153) = all_40_0_1152
% 52.77/15.24  						|
% 52.77/15.24  						| Applying alpha-rule on (2576) yields:
% 52.77/15.24  						| (2577)  ~ (all_40_0_1152 = 0)
% 52.77/15.24  						| (2578) r(all_40_1_1153) = all_40_0_1152
% 52.77/15.24  						|
% 52.77/15.24  						+-Applying beta-rule and splitting (17), into two cases.
% 52.77/15.24  						|-Branch one:
% 52.77/15.24  						| (38) all_0_2_2 = 0 & q(all_0_3_3) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 52.77/15.24  						|
% 52.77/15.24  							| Applying alpha-rule on (38) yields:
% 52.77/15.24  							| (39) all_0_2_2 = 0
% 52.77/15.24  							| (40) q(all_0_3_3) = 0
% 52.77/15.24  							| (41)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 52.77/15.24  							|
% 52.77/15.24  							| Instantiating formula (41) with all_40_0_1152, all_40_1_1153 and discharging atoms r(all_40_1_1153) = all_40_0_1152, yields:
% 52.77/15.24  							| (2583) all_40_0_1152 = 0
% 52.77/15.24  							|
% 52.77/15.24  							| Equations (2583) can reduce 2577 to:
% 52.77/15.24  							| (59) $false
% 52.77/15.24  							|
% 52.77/15.24  							|-The branch is then unsatisfiable
% 52.77/15.24  						|-Branch two:
% 52.77/15.24  						| (209)  ~ (all_0_2_2 = 0) & r(all_0_3_3) = all_0_2_2 &  ! [v0] :  ~ (q(v0) = 0)
% 52.77/15.24  						|
% 52.77/15.24  							| Applying alpha-rule on (209) yields:
% 52.77/15.24  							| (210)  ~ (all_0_2_2 = 0)
% 52.77/15.24  							| (211) r(all_0_3_3) = all_0_2_2
% 52.77/15.24  							| (212)  ! [v0] :  ~ (q(v0) = 0)
% 52.77/15.24  							|
% 52.77/15.24  							+-Applying beta-rule and splitting (1838), into two cases.
% 52.77/15.24  							|-Branch one:
% 52.77/15.24  							| (1857) ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))
% 52.77/15.24  							|
% 52.77/15.24  								| Applying alpha-rule on (1857) yields:
% 52.77/15.24  								| (469) (all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))
% 52.77/15.24  								| (1511) (s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))))
% 52.77/15.24  								|
% 52.77/15.24  								+-Applying beta-rule and splitting (469), into two cases.
% 52.77/15.24  								|-Branch one:
% 52.77/15.24  								| (471) all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14
% 52.77/15.24  								|
% 52.77/15.24  									| Applying alpha-rule on (471) yields:
% 52.77/15.24  									| (66) all_0_12_12 = 0
% 52.77/15.24  									| (67)  ~ (all_0_14_14 = 0)
% 52.77/15.24  									| (310) s(all_0_13_13) = 0
% 52.77/15.24  									| (475) p(all_0_15_15) = all_0_14_14
% 52.77/15.24  									|
% 52.77/15.24  									| Instantiating formula (13) with all_0_14_14, all_0_15_15 and discharging atoms p(all_0_15_15) = all_0_14_14, yields:
% 52.77/15.24  									| (476)  ~ (all_0_0_0 = 0) | all_0_14_14 = 0
% 52.77/15.24  									|
% 52.77/15.24  									+-Applying beta-rule and splitting (1511), into two cases.
% 52.77/15.24  									|-Branch one:
% 52.77/15.24  									| (1512) s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 52.77/15.24  									|
% 52.77/15.24  										| Applying alpha-rule on (1512) yields:
% 52.77/15.24  										| (1513) s(all_0_17_17) = all_0_16_16
% 52.77/15.24  										| (1514)  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 52.77/15.24  										| (1515)  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0))
% 52.77/15.25  										| (1516) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 52.77/15.25  										|
% 52.77/15.25  										| Instantiating formula (1514) with all_0_10_10, all_0_11_11 and discharging atoms s(all_0_11_11) = all_0_10_10, yields:
% 52.77/15.25  										| (657)  ~ (all_0_16_16 = 0) | all_0_10_10 = 0
% 52.77/15.25  										|
% 52.77/15.25  										| Instantiating formula (1515) with all_0_13_13 and discharging atoms s(all_0_13_13) = 0, yields:
% 52.77/15.25  										| (42) all_0_16_16 = 0
% 52.77/15.25  										|
% 52.77/15.25  										+-Applying beta-rule and splitting (657), into two cases.
% 52.77/15.25  										|-Branch one:
% 52.77/15.25  										| (71)  ~ (all_0_16_16 = 0)
% 52.77/15.25  										|
% 52.77/15.25  											| Equations (42) can reduce 71 to:
% 52.77/15.25  											| (59) $false
% 52.77/15.25  											|
% 52.77/15.25  											|-The branch is then unsatisfiable
% 52.77/15.25  										|-Branch two:
% 52.77/15.25  										| (42) all_0_16_16 = 0
% 52.77/15.25  										| (58) all_0_10_10 = 0
% 52.77/15.25  										|
% 52.77/15.25  											| Equations (58) can reduce 52 to:
% 52.77/15.25  											| (59) $false
% 52.77/15.25  											|
% 52.77/15.25  											|-The branch is then unsatisfiable
% 52.77/15.25  									|-Branch two:
% 52.77/15.25  									| (1545)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))
% 52.77/15.25  									|
% 52.77/15.25  										| Applying alpha-rule on (1545) yields:
% 52.77/15.25  										| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 52.77/15.25  										| (1547) (all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))
% 52.77/15.25  										|
% 52.77/15.25  										+-Applying beta-rule and splitting (476), into two cases.
% 52.77/15.25  										|-Branch one:
% 52.77/15.25  										| (102)  ~ (all_0_0_0 = 0)
% 52.77/15.25  										|
% 52.77/15.25  											+-Applying beta-rule and splitting (1547), into two cases.
% 52.77/15.25  											|-Branch one:
% 52.77/15.25  											| (1563) all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 52.77/15.25  											|
% 52.77/15.25  												| Applying alpha-rule on (1563) yields:
% 52.77/15.25  												| (81) all_0_20_20 = 0
% 52.77/15.25  												| (1565) p(all_0_21_21) = 0
% 52.77/15.25  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 52.77/15.25  												|
% 52.77/15.25  												| Instantiating formula (14) with all_0_21_21 and discharging atoms p(all_0_21_21) = 0, yields:
% 52.77/15.25  												| (63) all_0_0_0 = 0
% 52.77/15.25  												|
% 52.77/15.25  												| Equations (63) can reduce 102 to:
% 52.77/15.25  												| (59) $false
% 52.77/15.25  												|
% 52.77/15.25  												|-The branch is then unsatisfiable
% 52.77/15.25  											|-Branch two:
% 52.77/15.25  											| (1573)  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)
% 52.77/15.25  											|
% 52.77/15.25  												| Applying alpha-rule on (1573) yields:
% 52.77/15.25  												| (34)  ~ (all_0_20_20 = 0)
% 52.77/15.25  												| (1528) q(all_0_21_21) = all_0_20_20
% 52.77/15.25  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 52.77/15.25  												|
% 52.77/15.25  												| Instantiating formula (717) with all_0_20_20, all_0_21_21 and discharging atoms q(all_0_21_21) = all_0_20_20, yields:
% 52.77/15.25  												| (2420)  ? [v0] :  ? [v1] : (( ~ (all_0_20_20 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_0_20_20 = 0 | (v1 = 0 & q(v0) = 0)))
% 52.77/15.25  												|
% 52.77/15.25  												| Instantiating (2420) with all_399_0_1268, all_399_1_1269 yields:
% 52.77/15.25  												| (2625) ( ~ (all_0_20_20 = 0) | ( ~ (all_399_0_1268 = 0) & q(all_399_1_1269) = all_399_0_1268)) & (all_0_20_20 = 0 | (all_399_0_1268 = 0 & q(all_399_1_1269) = 0))
% 52.77/15.25  												|
% 52.77/15.25  												| Applying alpha-rule on (2625) yields:
% 52.77/15.25  												| (2626)  ~ (all_0_20_20 = 0) | ( ~ (all_399_0_1268 = 0) & q(all_399_1_1269) = all_399_0_1268)
% 52.77/15.25  												| (2627) all_0_20_20 = 0 | (all_399_0_1268 = 0 & q(all_399_1_1269) = 0)
% 52.77/15.25  												|
% 52.77/15.25  												+-Applying beta-rule and splitting (2627), into two cases.
% 52.77/15.25  												|-Branch one:
% 52.77/15.25  												| (81) all_0_20_20 = 0
% 52.77/15.25  												|
% 52.77/15.25  													| Equations (81) can reduce 34 to:
% 52.77/15.25  													| (59) $false
% 52.77/15.25  													|
% 52.77/15.25  													|-The branch is then unsatisfiable
% 52.77/15.25  												|-Branch two:
% 52.77/15.25  												| (34)  ~ (all_0_20_20 = 0)
% 52.77/15.25  												| (2631) all_399_0_1268 = 0 & q(all_399_1_1269) = 0
% 52.77/15.25  												|
% 52.77/15.25  													| Applying alpha-rule on (2631) yields:
% 52.77/15.25  													| (2632) all_399_0_1268 = 0
% 52.77/15.25  													| (2633) q(all_399_1_1269) = 0
% 52.77/15.25  													|
% 52.77/15.25  													| Instantiating formula (212) with all_399_1_1269 and discharging atoms q(all_399_1_1269) = 0, yields:
% 52.77/15.25  													| (79) $false
% 52.77/15.25  													|
% 52.77/15.25  													|-The branch is then unsatisfiable
% 52.77/15.25  										|-Branch two:
% 52.77/15.25  										| (63) all_0_0_0 = 0
% 52.77/15.25  										| (74) all_0_14_14 = 0
% 52.77/15.25  										|
% 52.77/15.25  											| Equations (74) can reduce 67 to:
% 52.77/15.25  											| (59) $false
% 52.77/15.25  											|
% 52.77/15.25  											|-The branch is then unsatisfiable
% 52.77/15.25  								|-Branch two:
% 52.77/15.25  								| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 52.77/15.25  								|
% 52.77/15.25  									| Applying alpha-rule on (60) yields:
% 52.77/15.25  									| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 52.77/15.25  									| (62)  ! [v0] :  ~ (s(v0) = 0)
% 52.77/15.25  									|
% 52.77/15.25  									| Instantiating formula (61) with all_0_0_0, all_0_1_1 and discharging atoms p(all_0_1_1) = all_0_0_0, yields:
% 52.77/15.25  									| (63) all_0_0_0 = 0
% 52.77/15.25  									|
% 52.77/15.25  									| From (63) and (12) follows:
% 52.77/15.25  									| (64) p(all_0_1_1) = 0
% 52.77/15.25  									|
% 52.77/15.25  									+-Applying beta-rule and splitting (1511), into two cases.
% 52.77/15.25  									|-Branch one:
% 52.77/15.25  									| (1512) s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 52.77/15.25  									|
% 52.77/15.25  										| Applying alpha-rule on (1512) yields:
% 52.77/15.25  										| (1513) s(all_0_17_17) = all_0_16_16
% 52.77/15.25  										| (1514)  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 52.77/15.25  										| (1515)  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0))
% 52.77/15.25  										| (1516) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 52.77/15.25  										|
% 52.77/15.25  										+-Applying beta-rule and splitting (1516), into two cases.
% 52.77/15.25  										|-Branch one:
% 52.77/15.25  										| (1525) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0
% 52.77/15.25  										|
% 52.77/15.25  											| Applying alpha-rule on (1525) yields:
% 52.77/15.25  											| (33) all_0_18_18 = 0
% 52.77/15.25  											| (34)  ~ (all_0_20_20 = 0)
% 52.77/15.25  											| (1528) q(all_0_21_21) = all_0_20_20
% 52.77/15.25  											| (1529) p(all_0_19_19) = 0
% 52.77/15.25  											|
% 52.77/15.25  											| Instantiating formula (717) with all_0_20_20, all_0_21_21 and discharging atoms q(all_0_21_21) = all_0_20_20, yields:
% 52.77/15.25  											| (2420)  ? [v0] :  ? [v1] : (( ~ (all_0_20_20 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_0_20_20 = 0 | (v1 = 0 & q(v0) = 0)))
% 52.77/15.25  											|
% 52.77/15.25  											| Instantiating (2420) with all_397_0_1312, all_397_1_1313 yields:
% 52.77/15.25  											| (2654) ( ~ (all_0_20_20 = 0) | ( ~ (all_397_0_1312 = 0) & q(all_397_1_1313) = all_397_0_1312)) & (all_0_20_20 = 0 | (all_397_0_1312 = 0 & q(all_397_1_1313) = 0))
% 52.77/15.25  											|
% 52.77/15.25  											| Applying alpha-rule on (2654) yields:
% 52.77/15.25  											| (2655)  ~ (all_0_20_20 = 0) | ( ~ (all_397_0_1312 = 0) & q(all_397_1_1313) = all_397_0_1312)
% 52.77/15.25  											| (2656) all_0_20_20 = 0 | (all_397_0_1312 = 0 & q(all_397_1_1313) = 0)
% 52.77/15.25  											|
% 52.77/15.25  											+-Applying beta-rule and splitting (2656), into two cases.
% 52.77/15.25  											|-Branch one:
% 52.77/15.25  											| (81) all_0_20_20 = 0
% 52.77/15.25  											|
% 52.77/15.25  												| Equations (81) can reduce 34 to:
% 52.77/15.25  												| (59) $false
% 52.77/15.25  												|
% 52.77/15.25  												|-The branch is then unsatisfiable
% 52.77/15.25  											|-Branch two:
% 52.77/15.25  											| (34)  ~ (all_0_20_20 = 0)
% 52.77/15.25  											| (2660) all_397_0_1312 = 0 & q(all_397_1_1313) = 0
% 52.77/15.25  											|
% 52.77/15.25  												| Applying alpha-rule on (2660) yields:
% 52.77/15.25  												| (2661) all_397_0_1312 = 0
% 52.77/15.25  												| (2662) q(all_397_1_1313) = 0
% 52.77/15.25  												|
% 52.77/15.25  												| Instantiating formula (212) with all_397_1_1313 and discharging atoms q(all_397_1_1313) = 0, yields:
% 52.77/15.25  												| (79) $false
% 52.77/15.25  												|
% 52.77/15.25  												|-The branch is then unsatisfiable
% 52.77/15.25  										|-Branch two:
% 52.77/15.25  										| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 52.77/15.25  										|
% 52.77/15.25  											| Applying alpha-rule on (76) yields:
% 52.77/15.25  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 52.77/15.25  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 52.77/15.25  											|
% 52.77/15.25  											| Instantiating formula (78) with all_0_1_1 and discharging atoms p(all_0_1_1) = 0, yields:
% 52.77/15.25  											| (79) $false
% 52.77/15.25  											|
% 52.77/15.25  											|-The branch is then unsatisfiable
% 52.77/15.25  									|-Branch two:
% 52.77/15.25  									| (1545)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))
% 52.77/15.25  									|
% 52.77/15.25  										| Applying alpha-rule on (1545) yields:
% 52.77/15.25  										| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 52.77/15.25  										| (1547) (all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))
% 52.77/15.25  										|
% 52.77/15.25  										| Instantiating formula (84) with all_0_10_10, all_0_11_11 and discharging atoms s(all_0_11_11) = all_0_10_10, yields:
% 52.77/15.25  										| (1726)  ? [v0] :  ? [v1] : (( ~ (all_0_10_10 = 0) | ( ~ (v1 = 0) & s(v0) = v1)) & (all_0_10_10 = 0 | (v1 = 0 & s(v0) = 0)))
% 52.77/15.25  										|
% 52.77/15.25  										| Instantiating (1726) with all_273_0_1318, all_273_1_1319 yields:
% 52.77/15.25  										| (2672) ( ~ (all_0_10_10 = 0) | ( ~ (all_273_0_1318 = 0) & s(all_273_1_1319) = all_273_0_1318)) & (all_0_10_10 = 0 | (all_273_0_1318 = 0 & s(all_273_1_1319) = 0))
% 52.77/15.25  										|
% 52.77/15.25  										| Applying alpha-rule on (2672) yields:
% 52.77/15.25  										| (2673)  ~ (all_0_10_10 = 0) | ( ~ (all_273_0_1318 = 0) & s(all_273_1_1319) = all_273_0_1318)
% 52.77/15.25  										| (2674) all_0_10_10 = 0 | (all_273_0_1318 = 0 & s(all_273_1_1319) = 0)
% 52.77/15.25  										|
% 52.77/15.25  										+-Applying beta-rule and splitting (2674), into two cases.
% 52.77/15.25  										|-Branch one:
% 52.77/15.25  										| (58) all_0_10_10 = 0
% 52.77/15.25  										|
% 52.77/15.25  											| Equations (58) can reduce 52 to:
% 52.77/15.25  											| (59) $false
% 52.77/15.25  											|
% 52.77/15.25  											|-The branch is then unsatisfiable
% 52.77/15.25  										|-Branch two:
% 52.77/15.25  										| (52)  ~ (all_0_10_10 = 0)
% 52.77/15.26  										| (2678) all_273_0_1318 = 0 & s(all_273_1_1319) = 0
% 52.77/15.26  										|
% 52.77/15.26  											| Applying alpha-rule on (2678) yields:
% 52.77/15.26  											| (2679) all_273_0_1318 = 0
% 52.77/15.26  											| (2680) s(all_273_1_1319) = 0
% 52.77/15.26  											|
% 52.77/15.26  											| Instantiating formula (62) with all_273_1_1319 and discharging atoms s(all_273_1_1319) = 0, yields:
% 52.77/15.26  											| (79) $false
% 52.77/15.26  											|
% 52.77/15.26  											|-The branch is then unsatisfiable
% 52.77/15.26  							|-Branch two:
% 52.77/15.26  							| (1925) ((all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))
% 52.77/15.26  							|
% 52.77/15.26  								| Applying alpha-rule on (1925) yields:
% 52.77/15.26  								| (1926) (all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))
% 52.77/15.26  								| (1927) (s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))
% 52.77/15.26  								|
% 52.77/15.26  								+-Applying beta-rule and splitting (1926), into two cases.
% 52.77/15.26  								|-Branch one:
% 52.77/15.26  								| (1928) all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 52.77/15.26  								|
% 52.77/15.26  									| Applying alpha-rule on (1928) yields:
% 52.77/15.26  									| (42) all_0_16_16 = 0
% 52.77/15.26  									| (1518) s(all_0_17_17) = 0
% 52.77/15.26  									| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 52.77/15.26  									|
% 52.77/15.26  									| Instantiating formula (61) with all_0_0_0, all_0_1_1 and discharging atoms p(all_0_1_1) = all_0_0_0, yields:
% 52.77/15.26  									| (63) all_0_0_0 = 0
% 52.77/15.26  									|
% 52.77/15.26  									| From (63) and (12) follows:
% 52.77/15.26  									| (64) p(all_0_1_1) = 0
% 52.77/15.26  									|
% 52.77/15.26  									+-Applying beta-rule and splitting (1927), into two cases.
% 52.77/15.26  									|-Branch one:
% 52.77/15.26  									| (1934) s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))
% 52.77/15.26  									|
% 52.77/15.26  										| Applying alpha-rule on (1934) yields:
% 52.77/15.26  										| (1935) s(all_0_19_19) = all_0_18_18
% 52.77/15.26  										| (1936)  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 52.77/15.26  										| (1937)  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0))
% 52.77/15.26  										| (1547) (all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))
% 52.77/15.26  										|
% 52.77/15.26  										| Instantiating formula (1936) with all_0_10_10, all_0_11_11 and discharging atoms s(all_0_11_11) = all_0_10_10, yields:
% 52.77/15.26  										| (2093)  ~ (all_0_18_18 = 0) | all_0_10_10 = 0
% 52.77/15.26  										|
% 52.77/15.26  										| Instantiating formula (1937) with all_0_17_17 and discharging atoms s(all_0_17_17) = 0, yields:
% 52.77/15.26  										| (33) all_0_18_18 = 0
% 52.77/15.26  										|
% 52.77/15.26  										+-Applying beta-rule and splitting (2093), into two cases.
% 52.77/15.26  										|-Branch one:
% 52.77/15.26  										| (2094)  ~ (all_0_18_18 = 0)
% 52.77/15.26  										|
% 52.77/15.26  											| Equations (33) can reduce 2094 to:
% 52.77/15.26  											| (59) $false
% 52.77/15.26  											|
% 52.77/15.26  											|-The branch is then unsatisfiable
% 52.77/15.26  										|-Branch two:
% 52.77/15.26  										| (33) all_0_18_18 = 0
% 52.77/15.26  										| (58) all_0_10_10 = 0
% 52.77/15.26  										|
% 52.77/15.26  											| Equations (58) can reduce 52 to:
% 52.77/15.26  											| (59) $false
% 52.77/15.26  											|
% 52.77/15.26  											|-The branch is then unsatisfiable
% 52.77/15.26  									|-Branch two:
% 52.77/15.26  									| (1951)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 52.77/15.26  									|
% 52.77/15.26  										| Applying alpha-rule on (1951) yields:
% 52.77/15.26  										| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 52.77/15.26  										| (1516) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 52.77/15.26  										|
% 52.77/15.26  										+-Applying beta-rule and splitting (1516), into two cases.
% 52.77/15.26  										|-Branch one:
% 52.77/15.26  										| (1525) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0
% 52.77/15.26  										|
% 52.77/15.26  											| Applying alpha-rule on (1525) yields:
% 52.77/15.26  											| (33) all_0_18_18 = 0
% 52.77/15.26  											| (34)  ~ (all_0_20_20 = 0)
% 52.77/15.26  											| (1528) q(all_0_21_21) = all_0_20_20
% 52.77/15.26  											| (1529) p(all_0_19_19) = 0
% 52.77/15.26  											|
% 52.77/15.26  											| Instantiating formula (717) with all_0_20_20, all_0_21_21 and discharging atoms q(all_0_21_21) = all_0_20_20, yields:
% 52.77/15.26  											| (2420)  ? [v0] :  ? [v1] : (( ~ (all_0_20_20 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_0_20_20 = 0 | (v1 = 0 & q(v0) = 0)))
% 52.77/15.26  											|
% 52.77/15.26  											| Instantiating (2420) with all_396_0_1404, all_396_1_1405 yields:
% 52.77/15.26  											| (2712) ( ~ (all_0_20_20 = 0) | ( ~ (all_396_0_1404 = 0) & q(all_396_1_1405) = all_396_0_1404)) & (all_0_20_20 = 0 | (all_396_0_1404 = 0 & q(all_396_1_1405) = 0))
% 52.77/15.26  											|
% 52.77/15.26  											| Applying alpha-rule on (2712) yields:
% 52.77/15.26  											| (2713)  ~ (all_0_20_20 = 0) | ( ~ (all_396_0_1404 = 0) & q(all_396_1_1405) = all_396_0_1404)
% 52.77/15.26  											| (2714) all_0_20_20 = 0 | (all_396_0_1404 = 0 & q(all_396_1_1405) = 0)
% 52.77/15.26  											|
% 52.77/15.26  											+-Applying beta-rule and splitting (2714), into two cases.
% 52.77/15.26  											|-Branch one:
% 52.77/15.26  											| (81) all_0_20_20 = 0
% 52.77/15.26  											|
% 52.77/15.26  												| Equations (81) can reduce 34 to:
% 52.77/15.26  												| (59) $false
% 52.77/15.26  												|
% 52.77/15.26  												|-The branch is then unsatisfiable
% 52.77/15.26  											|-Branch two:
% 52.77/15.26  											| (34)  ~ (all_0_20_20 = 0)
% 52.77/15.26  											| (2718) all_396_0_1404 = 0 & q(all_396_1_1405) = 0
% 52.77/15.26  											|
% 52.77/15.26  												| Applying alpha-rule on (2718) yields:
% 52.77/15.26  												| (2719) all_396_0_1404 = 0
% 52.77/15.26  												| (2720) q(all_396_1_1405) = 0
% 52.77/15.26  												|
% 52.77/15.26  												| Instantiating formula (212) with all_396_1_1405 and discharging atoms q(all_396_1_1405) = 0, yields:
% 52.77/15.26  												| (79) $false
% 52.77/15.26  												|
% 52.77/15.26  												|-The branch is then unsatisfiable
% 52.77/15.26  										|-Branch two:
% 52.77/15.26  										| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 52.77/15.26  										|
% 52.77/15.26  											| Applying alpha-rule on (76) yields:
% 52.77/15.26  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 52.77/15.26  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 52.77/15.26  											|
% 52.77/15.26  											| Instantiating formula (78) with all_0_1_1 and discharging atoms p(all_0_1_1) = 0, yields:
% 52.77/15.26  											| (79) $false
% 52.77/15.26  											|
% 52.77/15.26  											|-The branch is then unsatisfiable
% 52.77/15.26  								|-Branch two:
% 52.77/15.26  								| (1960)  ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0)
% 52.77/15.26  								|
% 52.77/15.26  									| Applying alpha-rule on (1960) yields:
% 52.77/15.26  									| (71)  ~ (all_0_16_16 = 0)
% 52.77/15.26  									| (1962) p(all_0_17_17) = all_0_16_16
% 52.77/15.26  									| (62)  ! [v0] :  ~ (s(v0) = 0)
% 52.77/15.26  									|
% 52.77/15.26  									| Instantiating formula (13) with all_0_16_16, all_0_17_17 and discharging atoms p(all_0_17_17) = all_0_16_16, yields:
% 52.77/15.26  									| (1964)  ~ (all_0_0_0 = 0) | all_0_16_16 = 0
% 52.77/15.26  									|
% 52.77/15.26  									+-Applying beta-rule and splitting (1927), into two cases.
% 52.77/15.26  									|-Branch one:
% 52.77/15.26  									| (1934) s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))
% 52.77/15.26  									|
% 52.77/15.26  										| Applying alpha-rule on (1934) yields:
% 52.77/15.26  										| (1935) s(all_0_19_19) = all_0_18_18
% 52.77/15.26  										| (1936)  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 52.77/15.26  										| (1937)  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0))
% 52.77/15.26  										| (1547) (all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))
% 52.77/15.26  										|
% 52.77/15.26  										+-Applying beta-rule and splitting (1964), into two cases.
% 52.77/15.26  										|-Branch one:
% 52.77/15.26  										| (102)  ~ (all_0_0_0 = 0)
% 52.77/15.26  										|
% 52.77/15.26  											+-Applying beta-rule and splitting (1547), into two cases.
% 52.77/15.26  											|-Branch one:
% 52.77/15.26  											| (1563) all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 52.77/15.26  											|
% 52.77/15.26  												| Applying alpha-rule on (1563) yields:
% 52.77/15.26  												| (81) all_0_20_20 = 0
% 52.77/15.26  												| (1565) p(all_0_21_21) = 0
% 52.77/15.26  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 52.77/15.27  												|
% 52.77/15.27  												| Instantiating formula (14) with all_0_21_21 and discharging atoms p(all_0_21_21) = 0, yields:
% 52.77/15.27  												| (63) all_0_0_0 = 0
% 52.77/15.27  												|
% 52.77/15.27  												| Equations (63) can reduce 102 to:
% 52.77/15.27  												| (59) $false
% 52.77/15.27  												|
% 52.77/15.27  												|-The branch is then unsatisfiable
% 52.77/15.27  											|-Branch two:
% 52.77/15.27  											| (1573)  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)
% 52.77/15.27  											|
% 52.77/15.27  												| Applying alpha-rule on (1573) yields:
% 52.77/15.27  												| (34)  ~ (all_0_20_20 = 0)
% 52.77/15.27  												| (1528) q(all_0_21_21) = all_0_20_20
% 52.77/15.27  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 52.77/15.27  												|
% 52.77/15.27  												| Instantiating formula (717) with all_0_20_20, all_0_21_21 and discharging atoms q(all_0_21_21) = all_0_20_20, yields:
% 52.77/15.27  												| (2420)  ? [v0] :  ? [v1] : (( ~ (all_0_20_20 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_0_20_20 = 0 | (v1 = 0 & q(v0) = 0)))
% 52.77/15.27  												|
% 52.77/15.27  												| Instantiating (2420) with all_402_0_1448, all_402_1_1449 yields:
% 52.77/15.27  												| (2748) ( ~ (all_0_20_20 = 0) | ( ~ (all_402_0_1448 = 0) & q(all_402_1_1449) = all_402_0_1448)) & (all_0_20_20 = 0 | (all_402_0_1448 = 0 & q(all_402_1_1449) = 0))
% 52.77/15.27  												|
% 52.77/15.27  												| Applying alpha-rule on (2748) yields:
% 52.77/15.27  												| (2749)  ~ (all_0_20_20 = 0) | ( ~ (all_402_0_1448 = 0) & q(all_402_1_1449) = all_402_0_1448)
% 52.77/15.27  												| (2750) all_0_20_20 = 0 | (all_402_0_1448 = 0 & q(all_402_1_1449) = 0)
% 52.77/15.27  												|
% 52.77/15.27  												+-Applying beta-rule and splitting (2750), into two cases.
% 52.77/15.27  												|-Branch one:
% 52.77/15.27  												| (81) all_0_20_20 = 0
% 52.77/15.27  												|
% 52.77/15.27  													| Equations (81) can reduce 34 to:
% 52.77/15.27  													| (59) $false
% 52.77/15.27  													|
% 52.77/15.27  													|-The branch is then unsatisfiable
% 52.77/15.27  												|-Branch two:
% 52.77/15.27  												| (34)  ~ (all_0_20_20 = 0)
% 52.77/15.27  												| (2754) all_402_0_1448 = 0 & q(all_402_1_1449) = 0
% 52.77/15.27  												|
% 52.77/15.27  													| Applying alpha-rule on (2754) yields:
% 52.77/15.27  													| (2755) all_402_0_1448 = 0
% 52.77/15.27  													| (2756) q(all_402_1_1449) = 0
% 52.77/15.27  													|
% 52.77/15.27  													| Instantiating formula (212) with all_402_1_1449 and discharging atoms q(all_402_1_1449) = 0, yields:
% 52.77/15.27  													| (79) $false
% 52.77/15.27  													|
% 52.77/15.27  													|-The branch is then unsatisfiable
% 52.77/15.27  										|-Branch two:
% 52.77/15.27  										| (63) all_0_0_0 = 0
% 52.77/15.27  										| (42) all_0_16_16 = 0
% 52.77/15.27  										|
% 52.77/15.27  											| Equations (42) can reduce 71 to:
% 52.77/15.27  											| (59) $false
% 52.77/15.27  											|
% 52.77/15.27  											|-The branch is then unsatisfiable
% 52.77/15.27  									|-Branch two:
% 52.77/15.27  									| (1951)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 52.77/15.27  									|
% 52.77/15.27  										| Applying alpha-rule on (1951) yields:
% 52.77/15.27  										| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 52.77/15.27  										| (1516) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 52.77/15.27  										|
% 52.77/15.27  										| Instantiating formula (84) with all_0_10_10, all_0_11_11 and discharging atoms s(all_0_11_11) = all_0_10_10, yields:
% 52.77/15.27  										| (1726)  ? [v0] :  ? [v1] : (( ~ (all_0_10_10 = 0) | ( ~ (v1 = 0) & s(v0) = v1)) & (all_0_10_10 = 0 | (v1 = 0 & s(v0) = 0)))
% 52.77/15.27  										|
% 52.77/15.27  										| Instantiating (1726) with all_273_0_1454, all_273_1_1455 yields:
% 52.77/15.27  										| (2765) ( ~ (all_0_10_10 = 0) | ( ~ (all_273_0_1454 = 0) & s(all_273_1_1455) = all_273_0_1454)) & (all_0_10_10 = 0 | (all_273_0_1454 = 0 & s(all_273_1_1455) = 0))
% 52.77/15.27  										|
% 52.77/15.27  										| Applying alpha-rule on (2765) yields:
% 52.77/15.27  										| (2766)  ~ (all_0_10_10 = 0) | ( ~ (all_273_0_1454 = 0) & s(all_273_1_1455) = all_273_0_1454)
% 52.77/15.27  										| (2767) all_0_10_10 = 0 | (all_273_0_1454 = 0 & s(all_273_1_1455) = 0)
% 52.77/15.27  										|
% 52.77/15.27  										+-Applying beta-rule and splitting (2767), into two cases.
% 52.77/15.27  										|-Branch one:
% 52.77/15.27  										| (58) all_0_10_10 = 0
% 52.77/15.27  										|
% 52.77/15.27  											| Equations (58) can reduce 52 to:
% 52.77/15.27  											| (59) $false
% 52.77/15.27  											|
% 52.77/15.27  											|-The branch is then unsatisfiable
% 52.77/15.27  										|-Branch two:
% 52.77/15.27  										| (52)  ~ (all_0_10_10 = 0)
% 52.77/15.27  										| (2771) all_273_0_1454 = 0 & s(all_273_1_1455) = 0
% 52.77/15.27  										|
% 52.77/15.27  											| Applying alpha-rule on (2771) yields:
% 52.77/15.27  											| (2772) all_273_0_1454 = 0
% 52.77/15.27  											| (2773) s(all_273_1_1455) = 0
% 52.77/15.27  											|
% 52.77/15.27  											| Instantiating formula (62) with all_273_1_1455 and discharging atoms s(all_273_1_1455) = 0, yields:
% 52.77/15.27  											| (79) $false
% 52.77/15.27  											|
% 52.77/15.27  											|-The branch is then unsatisfiable
% 52.77/15.27  					|-Branch two:
% 52.77/15.27  					| (219)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)
% 52.77/15.27  					|
% 52.77/15.27  						| Applying alpha-rule on (219) yields:
% 52.77/15.27  						| (220)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))
% 52.77/15.27  						| (221)  ! [v0] :  ~ (r(v0) = 0)
% 52.77/15.27  						|
% 52.77/15.27  						+-Applying beta-rule and splitting (17), into two cases.
% 52.77/15.27  						|-Branch one:
% 52.77/15.27  						| (38) all_0_2_2 = 0 & q(all_0_3_3) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 52.77/15.27  						|
% 52.77/15.27  							| Applying alpha-rule on (38) yields:
% 52.77/15.27  							| (39) all_0_2_2 = 0
% 52.77/15.27  							| (40) q(all_0_3_3) = 0
% 52.77/15.27  							| (41)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 52.77/15.27  							|
% 52.77/15.27  							| Instantiating formula (717) with 0, all_0_3_3 and discharging atoms q(all_0_3_3) = 0, yields:
% 52.77/15.27  							| (733)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & q(v0) = v1)
% 52.77/15.27  							|
% 52.77/15.27  							| Instantiating (733) with all_45_0_1456, all_45_1_1457 yields:
% 52.77/15.27  							| (2783)  ~ (all_45_0_1456 = 0) & q(all_45_1_1457) = all_45_0_1456
% 52.77/15.27  							|
% 52.77/15.27  							| Applying alpha-rule on (2783) yields:
% 52.77/15.27  							| (2784)  ~ (all_45_0_1456 = 0)
% 52.77/15.27  							| (2785) q(all_45_1_1457) = all_45_0_1456
% 52.77/15.27  							|
% 52.77/15.27  							| Instantiating formula (717) with all_45_0_1456, all_45_1_1457 and discharging atoms q(all_45_1_1457) = all_45_0_1456, yields:
% 52.77/15.27  							| (2786)  ? [v0] :  ? [v1] : (( ~ (all_45_0_1456 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_45_0_1456 = 0 | (v1 = 0 & q(v0) = 0)))
% 52.77/15.27  							|
% 52.77/15.27  							| Instantiating (2786) with all_52_0_1458, all_52_1_1459 yields:
% 52.77/15.27  							| (2787) ( ~ (all_45_0_1456 = 0) | ( ~ (all_52_0_1458 = 0) & q(all_52_1_1459) = all_52_0_1458)) & (all_45_0_1456 = 0 | (all_52_0_1458 = 0 & q(all_52_1_1459) = 0))
% 52.77/15.27  							|
% 52.77/15.27  							| Applying alpha-rule on (2787) yields:
% 52.77/15.27  							| (2788)  ~ (all_45_0_1456 = 0) | ( ~ (all_52_0_1458 = 0) & q(all_52_1_1459) = all_52_0_1458)
% 52.77/15.27  							| (2789) all_45_0_1456 = 0 | (all_52_0_1458 = 0 & q(all_52_1_1459) = 0)
% 52.77/15.27  							|
% 52.77/15.27  							+-Applying beta-rule and splitting (1838), into two cases.
% 52.77/15.27  							|-Branch one:
% 52.77/15.27  							| (1857) ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))
% 52.77/15.27  							|
% 52.77/15.27  								| Applying alpha-rule on (1857) yields:
% 52.77/15.27  								| (469) (all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))
% 52.77/15.27  								| (1511) (s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))))
% 52.77/15.27  								|
% 52.77/15.27  								+-Applying beta-rule and splitting (1511), into two cases.
% 52.77/15.27  								|-Branch one:
% 52.77/15.27  								| (1512) s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 52.77/15.27  								|
% 52.77/15.27  									| Applying alpha-rule on (1512) yields:
% 52.77/15.27  									| (1513) s(all_0_17_17) = all_0_16_16
% 52.77/15.27  									| (1514)  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 52.77/15.27  									| (1515)  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0))
% 52.77/15.27  									| (1516) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 52.77/15.27  									|
% 52.77/15.28  									+-Applying beta-rule and splitting (2789), into two cases.
% 52.77/15.28  									|-Branch one:
% 52.77/15.28  									| (2798) all_45_0_1456 = 0
% 52.77/15.28  									|
% 52.77/15.28  										| Equations (2798) can reduce 2784 to:
% 52.77/15.28  										| (59) $false
% 52.77/15.28  										|
% 52.77/15.28  										|-The branch is then unsatisfiable
% 52.77/15.28  									|-Branch two:
% 52.77/15.28  									| (2784)  ~ (all_45_0_1456 = 0)
% 52.77/15.28  									| (2801) all_52_0_1458 = 0 & q(all_52_1_1459) = 0
% 52.77/15.28  									|
% 52.77/15.28  										| Instantiating formula (220) with all_0_16_16, all_0_17_17 and discharging atoms s(all_0_17_17) = all_0_16_16, yields:
% 52.77/15.28  										| (42) all_0_16_16 = 0
% 52.77/15.28  										|
% 52.77/15.28  										| From (42) and (1513) follows:
% 52.77/15.28  										| (1518) s(all_0_17_17) = 0
% 52.77/15.28  										|
% 52.77/15.28  										+-Applying beta-rule and splitting (469), into two cases.
% 52.77/15.28  										|-Branch one:
% 52.77/15.28  										| (471) all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14
% 52.77/15.28  										|
% 52.77/15.28  											| Applying alpha-rule on (471) yields:
% 52.77/15.28  											| (66) all_0_12_12 = 0
% 52.77/15.28  											| (67)  ~ (all_0_14_14 = 0)
% 52.77/15.28  											| (310) s(all_0_13_13) = 0
% 52.77/15.28  											| (475) p(all_0_15_15) = all_0_14_14
% 52.77/15.28  											|
% 52.77/15.28  											| Instantiating formula (13) with all_0_14_14, all_0_15_15 and discharging atoms p(all_0_15_15) = all_0_14_14, yields:
% 52.77/15.28  											| (476)  ~ (all_0_0_0 = 0) | all_0_14_14 = 0
% 52.77/15.28  											|
% 52.77/15.28  											+-Applying beta-rule and splitting (476), into two cases.
% 52.77/15.28  											|-Branch one:
% 52.77/15.28  											| (102)  ~ (all_0_0_0 = 0)
% 52.77/15.28  											|
% 52.77/15.28  												+-Applying beta-rule and splitting (1516), into two cases.
% 52.77/15.28  												|-Branch one:
% 52.77/15.28  												| (1525) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0
% 52.77/15.28  												|
% 52.77/15.28  													| Applying alpha-rule on (1525) yields:
% 52.77/15.28  													| (33) all_0_18_18 = 0
% 52.77/15.28  													| (34)  ~ (all_0_20_20 = 0)
% 52.77/15.28  													| (1528) q(all_0_21_21) = all_0_20_20
% 52.77/15.28  													| (1529) p(all_0_19_19) = 0
% 52.77/15.28  													|
% 52.77/15.28  													| Instantiating formula (14) with all_0_19_19 and discharging atoms p(all_0_19_19) = 0, yields:
% 52.77/15.28  													| (63) all_0_0_0 = 0
% 52.77/15.28  													|
% 52.77/15.28  													| Equations (63) can reduce 102 to:
% 52.77/15.28  													| (59) $false
% 52.77/15.28  													|
% 52.77/15.28  													|-The branch is then unsatisfiable
% 52.77/15.28  												|-Branch two:
% 52.77/15.28  												| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 52.77/15.28  												|
% 52.77/15.28  													| Applying alpha-rule on (76) yields:
% 52.77/15.28  													| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 52.77/15.28  													| (78)  ! [v0] :  ~ (p(v0) = 0)
% 52.77/15.28  													|
% 52.77/15.28  													| Instantiating formula (77) with all_45_0_1456, all_45_1_1457 and discharging atoms q(all_45_1_1457) = all_45_0_1456, yields:
% 52.77/15.28  													| (2798) all_45_0_1456 = 0
% 52.77/15.28  													|
% 52.77/15.28  													| Equations (2798) can reduce 2784 to:
% 52.77/15.28  													| (59) $false
% 52.77/15.28  													|
% 52.77/15.28  													|-The branch is then unsatisfiable
% 52.77/15.28  											|-Branch two:
% 52.77/15.28  											| (63) all_0_0_0 = 0
% 52.77/15.28  											| (74) all_0_14_14 = 0
% 52.77/15.28  											|
% 52.77/15.28  												| Equations (74) can reduce 67 to:
% 52.77/15.28  												| (59) $false
% 52.77/15.28  												|
% 52.77/15.28  												|-The branch is then unsatisfiable
% 52.77/15.28  										|-Branch two:
% 52.77/15.28  										| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 52.77/15.28  										|
% 52.77/15.28  											| Applying alpha-rule on (60) yields:
% 52.77/15.28  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 52.77/15.28  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 52.77/15.28  											|
% 52.77/15.28  											| Instantiating formula (62) with all_0_17_17 and discharging atoms s(all_0_17_17) = 0, yields:
% 52.77/15.28  											| (79) $false
% 52.77/15.28  											|
% 52.77/15.28  											|-The branch is then unsatisfiable
% 52.77/15.28  								|-Branch two:
% 52.77/15.28  								| (1545)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))
% 52.77/15.28  								|
% 52.77/15.28  									| Applying alpha-rule on (1545) yields:
% 52.77/15.28  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 52.77/15.28  									| (1547) (all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))
% 52.77/15.28  									|
% 52.77/15.28  									+-Applying beta-rule and splitting (469), into two cases.
% 52.77/15.28  									|-Branch one:
% 52.77/15.28  									| (471) all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14
% 52.77/15.28  									|
% 52.77/15.28  										| Applying alpha-rule on (471) yields:
% 52.77/15.28  										| (66) all_0_12_12 = 0
% 52.77/15.28  										| (67)  ~ (all_0_14_14 = 0)
% 52.77/15.28  										| (310) s(all_0_13_13) = 0
% 52.77/15.28  										| (475) p(all_0_15_15) = all_0_14_14
% 52.77/15.28  										|
% 52.77/15.28  										| Instantiating formula (84) with 0, all_0_13_13 and discharging atoms s(all_0_13_13) = 0, yields:
% 52.77/15.28  										| (278)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & s(v0) = v1)
% 52.77/15.28  										|
% 52.77/15.28  										| Instantiating (278) with all_71_0_1470, all_71_1_1471 yields:
% 52.77/15.28  										| (2839)  ~ (all_71_0_1470 = 0) & s(all_71_1_1471) = all_71_0_1470
% 52.77/15.28  										|
% 52.77/15.28  										| Applying alpha-rule on (2839) yields:
% 52.77/15.28  										| (2840)  ~ (all_71_0_1470 = 0)
% 52.77/15.28  										| (2841) s(all_71_1_1471) = all_71_0_1470
% 52.77/15.28  										|
% 52.77/15.28  										| Instantiating formula (220) with all_71_0_1470, all_71_1_1471 and discharging atoms s(all_71_1_1471) = all_71_0_1470, yields:
% 52.77/15.28  										| (2842) all_71_0_1470 = 0
% 52.77/15.28  										|
% 52.77/15.28  										| Equations (2842) can reduce 2840 to:
% 52.77/15.28  										| (59) $false
% 52.77/15.28  										|
% 52.77/15.28  										|-The branch is then unsatisfiable
% 52.77/15.28  									|-Branch two:
% 52.77/15.28  									| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 52.77/15.28  									|
% 52.77/15.28  										| Applying alpha-rule on (60) yields:
% 52.77/15.28  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 52.77/15.28  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 52.77/15.28  										|
% 52.77/15.28  										| Instantiating formula (61) with all_0_0_0, all_0_1_1 and discharging atoms p(all_0_1_1) = all_0_0_0, yields:
% 52.77/15.28  										| (63) all_0_0_0 = 0
% 52.77/15.28  										|
% 52.77/15.28  										| From (63) and (12) follows:
% 52.77/15.28  										| (64) p(all_0_1_1) = 0
% 52.77/15.28  										|
% 52.77/15.28  										+-Applying beta-rule and splitting (2789), into two cases.
% 52.77/15.28  										|-Branch one:
% 52.77/15.28  										| (2798) all_45_0_1456 = 0
% 52.77/15.28  										|
% 52.77/15.28  											| Equations (2798) can reduce 2784 to:
% 52.77/15.28  											| (59) $false
% 52.77/15.28  											|
% 52.77/15.28  											|-The branch is then unsatisfiable
% 52.77/15.28  										|-Branch two:
% 52.77/15.28  										| (2784)  ~ (all_45_0_1456 = 0)
% 52.77/15.28  										| (2801) all_52_0_1458 = 0 & q(all_52_1_1459) = 0
% 52.77/15.28  										|
% 52.77/15.28  											+-Applying beta-rule and splitting (1547), into two cases.
% 52.77/15.28  											|-Branch one:
% 52.77/15.28  											| (1563) all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 52.77/15.28  											|
% 52.77/15.28  												| Applying alpha-rule on (1563) yields:
% 52.77/15.28  												| (81) all_0_20_20 = 0
% 52.77/15.28  												| (1565) p(all_0_21_21) = 0
% 52.77/15.28  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 52.77/15.28  												|
% 52.77/15.28  												| Instantiating formula (77) with all_45_0_1456, all_45_1_1457 and discharging atoms q(all_45_1_1457) = all_45_0_1456, yields:
% 52.77/15.28  												| (2798) all_45_0_1456 = 0
% 52.77/15.28  												|
% 52.77/15.28  												| Equations (2798) can reduce 2784 to:
% 52.77/15.28  												| (59) $false
% 52.77/15.28  												|
% 52.77/15.28  												|-The branch is then unsatisfiable
% 52.77/15.28  											|-Branch two:
% 52.77/15.28  											| (1573)  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)
% 52.77/15.28  											|
% 52.77/15.28  												| Applying alpha-rule on (1573) yields:
% 52.77/15.28  												| (34)  ~ (all_0_20_20 = 0)
% 52.77/15.28  												| (1528) q(all_0_21_21) = all_0_20_20
% 52.77/15.28  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 52.77/15.28  												|
% 52.77/15.28  												| Instantiating formula (78) with all_0_1_1 and discharging atoms p(all_0_1_1) = 0, yields:
% 52.77/15.28  												| (79) $false
% 52.77/15.28  												|
% 52.77/15.28  												|-The branch is then unsatisfiable
% 52.77/15.28  							|-Branch two:
% 52.77/15.28  							| (1925) ((all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))
% 52.77/15.28  							|
% 52.77/15.28  								| Applying alpha-rule on (1925) yields:
% 52.77/15.28  								| (1926) (all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))
% 52.77/15.28  								| (1927) (s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))
% 52.77/15.28  								|
% 52.77/15.28  								+-Applying beta-rule and splitting (1927), into two cases.
% 52.77/15.28  								|-Branch one:
% 52.77/15.28  								| (1934) s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))
% 52.77/15.28  								|
% 52.77/15.28  									| Applying alpha-rule on (1934) yields:
% 52.77/15.28  									| (1935) s(all_0_19_19) = all_0_18_18
% 52.77/15.28  									| (1936)  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 52.77/15.28  									| (1937)  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0))
% 52.77/15.29  									| (1547) (all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))
% 52.77/15.29  									|
% 52.77/15.29  									+-Applying beta-rule and splitting (2789), into two cases.
% 52.77/15.29  									|-Branch one:
% 52.77/15.29  									| (2798) all_45_0_1456 = 0
% 52.77/15.29  									|
% 52.77/15.29  										| Equations (2798) can reduce 2784 to:
% 52.77/15.29  										| (59) $false
% 52.77/15.29  										|
% 52.77/15.29  										|-The branch is then unsatisfiable
% 52.77/15.29  									|-Branch two:
% 52.77/15.29  									| (2784)  ~ (all_45_0_1456 = 0)
% 52.77/15.29  									| (2801) all_52_0_1458 = 0 & q(all_52_1_1459) = 0
% 52.77/15.29  									|
% 52.77/15.29  										| Instantiating formula (220) with all_0_18_18, all_0_19_19 and discharging atoms s(all_0_19_19) = all_0_18_18, yields:
% 52.77/15.29  										| (33) all_0_18_18 = 0
% 52.77/15.29  										|
% 52.77/15.29  										| From (33) and (1935) follows:
% 52.77/15.29  										| (1596) s(all_0_19_19) = 0
% 52.77/15.29  										|
% 52.77/15.29  										+-Applying beta-rule and splitting (1926), into two cases.
% 52.77/15.29  										|-Branch one:
% 52.77/15.29  										| (1928) all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 52.77/15.29  										|
% 52.77/15.29  											| Applying alpha-rule on (1928) yields:
% 52.77/15.29  											| (42) all_0_16_16 = 0
% 52.77/15.29  											| (1518) s(all_0_17_17) = 0
% 52.77/15.29  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 52.77/15.29  											|
% 52.77/15.29  											| Instantiating formula (61) with all_0_0_0, all_0_1_1 and discharging atoms p(all_0_1_1) = all_0_0_0, yields:
% 52.77/15.29  											| (63) all_0_0_0 = 0
% 52.77/15.29  											|
% 52.77/15.29  											| From (63) and (12) follows:
% 52.77/15.29  											| (64) p(all_0_1_1) = 0
% 52.77/15.29  											|
% 52.77/15.29  											+-Applying beta-rule and splitting (1547), into two cases.
% 52.77/15.29  											|-Branch one:
% 52.77/15.29  											| (1563) all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 52.77/15.29  											|
% 52.77/15.29  												| Applying alpha-rule on (1563) yields:
% 52.77/15.29  												| (81) all_0_20_20 = 0
% 52.77/15.29  												| (1565) p(all_0_21_21) = 0
% 52.77/15.29  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 52.77/15.29  												|
% 52.77/15.29  												| Instantiating formula (77) with all_45_0_1456, all_45_1_1457 and discharging atoms q(all_45_1_1457) = all_45_0_1456, yields:
% 52.77/15.29  												| (2798) all_45_0_1456 = 0
% 52.77/15.29  												|
% 52.77/15.29  												| Equations (2798) can reduce 2784 to:
% 52.77/15.29  												| (59) $false
% 52.77/15.29  												|
% 52.77/15.29  												|-The branch is then unsatisfiable
% 52.77/15.29  											|-Branch two:
% 52.77/15.29  											| (1573)  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)
% 52.77/15.29  											|
% 52.77/15.29  												| Applying alpha-rule on (1573) yields:
% 52.77/15.29  												| (34)  ~ (all_0_20_20 = 0)
% 52.77/15.29  												| (1528) q(all_0_21_21) = all_0_20_20
% 52.77/15.29  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 52.77/15.29  												|
% 52.77/15.29  												| Instantiating formula (78) with all_0_1_1 and discharging atoms p(all_0_1_1) = 0, yields:
% 52.77/15.29  												| (79) $false
% 52.77/15.29  												|
% 52.77/15.29  												|-The branch is then unsatisfiable
% 52.77/15.29  										|-Branch two:
% 52.77/15.29  										| (1960)  ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0)
% 52.77/15.29  										|
% 52.77/15.29  											| Applying alpha-rule on (1960) yields:
% 52.77/15.29  											| (71)  ~ (all_0_16_16 = 0)
% 52.77/15.29  											| (1962) p(all_0_17_17) = all_0_16_16
% 52.77/15.29  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 52.77/15.29  											|
% 52.77/15.29  											| Instantiating formula (62) with all_0_19_19 and discharging atoms s(all_0_19_19) = 0, yields:
% 52.77/15.29  											| (79) $false
% 52.77/15.29  											|
% 52.77/15.29  											|-The branch is then unsatisfiable
% 52.77/15.29  								|-Branch two:
% 52.77/15.29  								| (1951)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 52.77/15.29  								|
% 52.77/15.29  									| Applying alpha-rule on (1951) yields:
% 52.77/15.29  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 52.77/15.29  									| (1516) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 52.77/15.29  									|
% 52.77/15.29  									+-Applying beta-rule and splitting (1926), into two cases.
% 52.77/15.29  									|-Branch one:
% 52.77/15.29  									| (1928) all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 52.77/15.29  									|
% 52.77/15.29  										| Applying alpha-rule on (1928) yields:
% 52.77/15.29  										| (42) all_0_16_16 = 0
% 52.77/15.29  										| (1518) s(all_0_17_17) = 0
% 52.77/15.29  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 52.77/15.29  										|
% 52.77/15.29  										| Instantiating formula (84) with 0, all_0_17_17 and discharging atoms s(all_0_17_17) = 0, yields:
% 52.77/15.29  										| (278)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & s(v0) = v1)
% 52.77/15.29  										|
% 52.77/15.29  										| Instantiating (278) with all_73_0_1486, all_73_1_1487 yields:
% 52.77/15.29  										| (2908)  ~ (all_73_0_1486 = 0) & s(all_73_1_1487) = all_73_0_1486
% 52.77/15.29  										|
% 52.77/15.29  										| Applying alpha-rule on (2908) yields:
% 52.77/15.29  										| (2909)  ~ (all_73_0_1486 = 0)
% 52.77/15.29  										| (2910) s(all_73_1_1487) = all_73_0_1486
% 52.77/15.29  										|
% 52.77/15.29  										| Instantiating formula (220) with all_73_0_1486, all_73_1_1487 and discharging atoms s(all_73_1_1487) = all_73_0_1486, yields:
% 52.77/15.29  										| (2911) all_73_0_1486 = 0
% 52.77/15.29  										|
% 52.77/15.29  										| Equations (2911) can reduce 2909 to:
% 52.77/15.29  										| (59) $false
% 52.77/15.29  										|
% 52.77/15.29  										|-The branch is then unsatisfiable
% 52.77/15.29  									|-Branch two:
% 52.77/15.29  									| (1960)  ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0)
% 52.77/15.29  									|
% 52.77/15.29  										| Applying alpha-rule on (1960) yields:
% 52.77/15.29  										| (71)  ~ (all_0_16_16 = 0)
% 52.77/15.29  										| (1962) p(all_0_17_17) = all_0_16_16
% 52.77/15.29  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 52.77/15.29  										|
% 52.77/15.29  										+-Applying beta-rule and splitting (2789), into two cases.
% 52.77/15.29  										|-Branch one:
% 52.77/15.29  										| (2798) all_45_0_1456 = 0
% 52.77/15.29  										|
% 52.77/15.29  											| Equations (2798) can reduce 2784 to:
% 52.77/15.29  											| (59) $false
% 52.77/15.29  											|
% 52.77/15.29  											|-The branch is then unsatisfiable
% 52.77/15.29  										|-Branch two:
% 52.77/15.29  										| (2784)  ~ (all_45_0_1456 = 0)
% 52.77/15.29  										| (2801) all_52_0_1458 = 0 & q(all_52_1_1459) = 0
% 52.77/15.29  										|
% 52.77/15.29  											| Instantiating formula (13) with all_0_16_16, all_0_17_17 and discharging atoms p(all_0_17_17) = all_0_16_16, yields:
% 52.77/15.29  											| (1964)  ~ (all_0_0_0 = 0) | all_0_16_16 = 0
% 52.77/15.29  											|
% 52.77/15.29  											+-Applying beta-rule and splitting (1964), into two cases.
% 52.77/15.29  											|-Branch one:
% 52.77/15.29  											| (102)  ~ (all_0_0_0 = 0)
% 52.77/15.29  											|
% 52.77/15.29  												+-Applying beta-rule and splitting (1516), into two cases.
% 52.77/15.29  												|-Branch one:
% 52.77/15.29  												| (1525) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0
% 52.77/15.29  												|
% 52.77/15.29  													| Applying alpha-rule on (1525) yields:
% 52.77/15.29  													| (33) all_0_18_18 = 0
% 52.77/15.29  													| (34)  ~ (all_0_20_20 = 0)
% 52.77/15.29  													| (1528) q(all_0_21_21) = all_0_20_20
% 52.77/15.29  													| (1529) p(all_0_19_19) = 0
% 52.77/15.29  													|
% 52.77/15.29  													| Instantiating formula (14) with all_0_19_19 and discharging atoms p(all_0_19_19) = 0, yields:
% 52.77/15.29  													| (63) all_0_0_0 = 0
% 52.77/15.29  													|
% 52.77/15.29  													| Equations (63) can reduce 102 to:
% 52.77/15.29  													| (59) $false
% 52.77/15.29  													|
% 52.77/15.29  													|-The branch is then unsatisfiable
% 52.77/15.29  												|-Branch two:
% 52.77/15.29  												| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 52.77/15.29  												|
% 52.77/15.29  													| Applying alpha-rule on (76) yields:
% 52.77/15.29  													| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 52.77/15.29  													| (78)  ! [v0] :  ~ (p(v0) = 0)
% 52.77/15.29  													|
% 52.77/15.29  													| Instantiating formula (77) with all_45_0_1456, all_45_1_1457 and discharging atoms q(all_45_1_1457) = all_45_0_1456, yields:
% 52.77/15.29  													| (2798) all_45_0_1456 = 0
% 52.77/15.29  													|
% 52.77/15.29  													| Equations (2798) can reduce 2784 to:
% 52.77/15.29  													| (59) $false
% 52.77/15.29  													|
% 52.77/15.29  													|-The branch is then unsatisfiable
% 52.77/15.29  											|-Branch two:
% 52.77/15.29  											| (63) all_0_0_0 = 0
% 52.77/15.29  											| (42) all_0_16_16 = 0
% 52.77/15.29  											|
% 52.77/15.29  												| Equations (42) can reduce 71 to:
% 52.77/15.29  												| (59) $false
% 52.77/15.29  												|
% 52.77/15.29  												|-The branch is then unsatisfiable
% 52.77/15.29  						|-Branch two:
% 52.77/15.29  						| (209)  ~ (all_0_2_2 = 0) & r(all_0_3_3) = all_0_2_2 &  ! [v0] :  ~ (q(v0) = 0)
% 52.77/15.29  						|
% 52.77/15.29  							| Applying alpha-rule on (209) yields:
% 52.77/15.29  							| (210)  ~ (all_0_2_2 = 0)
% 52.77/15.29  							| (211) r(all_0_3_3) = all_0_2_2
% 52.77/15.29  							| (212)  ! [v0] :  ~ (q(v0) = 0)
% 52.77/15.29  							|
% 52.77/15.29  							| Instantiating formula (370) with all_0_2_2, all_0_3_3 and discharging atoms r(all_0_3_3) = all_0_2_2, yields:
% 52.77/15.29  							| (705)  ? [v0] :  ? [v1] : (( ~ (all_0_2_2 = 0) | ( ~ (v1 = 0) & r(v0) = v1)) & (all_0_2_2 = 0 | (v1 = 0 & r(v0) = 0)))
% 52.77/15.29  							|
% 52.77/15.29  							| Instantiating (705) with all_45_0_1492, all_45_1_1493 yields:
% 52.77/15.29  							| (2943) ( ~ (all_0_2_2 = 0) | ( ~ (all_45_0_1492 = 0) & r(all_45_1_1493) = all_45_0_1492)) & (all_0_2_2 = 0 | (all_45_0_1492 = 0 & r(all_45_1_1493) = 0))
% 52.77/15.29  							|
% 52.77/15.29  							| Applying alpha-rule on (2943) yields:
% 52.77/15.29  							| (2944)  ~ (all_0_2_2 = 0) | ( ~ (all_45_0_1492 = 0) & r(all_45_1_1493) = all_45_0_1492)
% 52.77/15.29  							| (2945) all_0_2_2 = 0 | (all_45_0_1492 = 0 & r(all_45_1_1493) = 0)
% 52.77/15.29  							|
% 52.77/15.29  							+-Applying beta-rule and splitting (2945), into two cases.
% 52.77/15.29  							|-Branch one:
% 52.77/15.29  							| (39) all_0_2_2 = 0
% 52.77/15.29  							|
% 52.77/15.29  								| Equations (39) can reduce 210 to:
% 52.77/15.29  								| (59) $false
% 52.77/15.29  								|
% 52.77/15.29  								|-The branch is then unsatisfiable
% 52.77/15.29  							|-Branch two:
% 52.77/15.29  							| (210)  ~ (all_0_2_2 = 0)
% 52.77/15.29  							| (2949) all_45_0_1492 = 0 & r(all_45_1_1493) = 0
% 52.77/15.29  							|
% 52.77/15.29  								| Applying alpha-rule on (2949) yields:
% 52.77/15.29  								| (2950) all_45_0_1492 = 0
% 52.77/15.29  								| (2951) r(all_45_1_1493) = 0
% 52.77/15.29  								|
% 52.77/15.29  								| Instantiating formula (221) with all_45_1_1493 and discharging atoms r(all_45_1_1493) = 0, yields:
% 52.77/15.29  								| (79) $false
% 52.77/15.29  								|
% 52.77/15.29  								|-The branch is then unsatisfiable
% 52.77/15.30  	|-Branch two:
% 52.77/15.30  	| (2953) ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & r(all_0_21_21) = all_0_20_20 & q(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] :  ~ (q(v0) = 0))) & ((((r(all_0_7_7) = all_0_6_6 &  ! [v0] :  ! [v1] : ( ~ (all_0_6_6 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_6_6 = 0 |  ~ (r(v0) = 0)) & ((((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_9_9) = 0 & p(all_0_11_11) = all_0_10_10) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_12_12 = 0 & s(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_12_12 = 0) & p(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))) | ( ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & s(all_0_15_15) = 0 & p(all_0_17_17) = all_0_16_16) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))))) & ((q(all_0_3_3) = all_0_2_2 &  ! [v0] :  ! [v1] : ( ~ (all_0_2_2 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_2_2 = 0 |  ~ (q(v0) = 0)) & ((all_0_4_4 = 0 & r(all_0_5_5) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_4_4 = 0) & s(all_0_5_5) = all_0_4_4 &  ! [v0] :  ~ (r(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_2_2 = 0 &  ~ (all_0_4_4 = 0) & s(all_0_5_5) = all_0_4_4 & r(all_0_3_3) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))))) | (((r(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (r(v0) = 0)) & ((((all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & s(all_0_15_15) = 0 & p(all_0_17_17) = all_0_16_16) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))) | ( ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_9_9) = 0 & p(all_0_11_11) = all_0_10_10) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_12_12 = 0 & s(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_12_12 = 0) & p(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))))) & ((q(all_0_3_3) = all_0_2_2 &  ! [v0] :  ! [v1] : ( ~ (all_0_2_2 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_2_2 = 0 |  ~ (q(v0) = 0)) & ((all_0_4_4 = 0 &  ~ (all_0_6_6 = 0) & s(all_0_7_7) = all_0_6_6 & r(all_0_5_5) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_6_6 = 0 & r(all_0_7_7) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_6_6 = 0) & s(all_0_7_7) = all_0_6_6 &  ! [v0] :  ~ (r(v0) = 0)))))))
% 52.77/15.30  	|
% 52.77/15.30  		| Applying alpha-rule on (2953) yields:
% 52.77/15.30  		| (2954) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & r(all_0_21_21) = all_0_20_20 & q(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] :  ~ (q(v0) = 0))
% 52.77/15.30  		| (2955) (((r(all_0_7_7) = all_0_6_6 &  ! [v0] :  ! [v1] : ( ~ (all_0_6_6 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_6_6 = 0 |  ~ (r(v0) = 0)) & ((((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_9_9) = 0 & p(all_0_11_11) = all_0_10_10) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_12_12 = 0 & s(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_12_12 = 0) & p(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))) | ( ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & s(all_0_15_15) = 0 & p(all_0_17_17) = all_0_16_16) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))))) & ((q(all_0_3_3) = all_0_2_2 &  ! [v0] :  ! [v1] : ( ~ (all_0_2_2 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_2_2 = 0 |  ~ (q(v0) = 0)) & ((all_0_4_4 = 0 & r(all_0_5_5) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_4_4 = 0) & s(all_0_5_5) = all_0_4_4 &  ! [v0] :  ~ (r(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_2_2 = 0 &  ~ (all_0_4_4 = 0) & s(all_0_5_5) = all_0_4_4 & r(all_0_3_3) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))))) | (((r(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (r(v0) = 0)) & ((((all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & s(all_0_15_15) = 0 & p(all_0_17_17) = all_0_16_16) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))) | ( ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_9_9) = 0 & p(all_0_11_11) = all_0_10_10) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_12_12 = 0 & s(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_12_12 = 0) & p(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))))) & ((q(all_0_3_3) = all_0_2_2 &  ! [v0] :  ! [v1] : ( ~ (all_0_2_2 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_2_2 = 0 |  ~ (q(v0) = 0)) & ((all_0_4_4 = 0 &  ~ (all_0_6_6 = 0) & s(all_0_7_7) = all_0_6_6 & r(all_0_5_5) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_6_6 = 0 & r(all_0_7_7) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_6_6 = 0) & s(all_0_7_7) = all_0_6_6 &  ! [v0] :  ~ (r(v0) = 0))))))
% 53.17/15.31  		|
% 53.17/15.31  		+-Applying beta-rule and splitting (2955), into two cases.
% 53.17/15.31  		|-Branch one:
% 53.17/15.31  		| (2956) ((r(all_0_7_7) = all_0_6_6 &  ! [v0] :  ! [v1] : ( ~ (all_0_6_6 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_6_6 = 0 |  ~ (r(v0) = 0)) & ((((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_9_9) = 0 & p(all_0_11_11) = all_0_10_10) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_12_12 = 0 & s(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_12_12 = 0) & p(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))) | ( ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & s(all_0_15_15) = 0 & p(all_0_17_17) = all_0_16_16) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))))) & ((q(all_0_3_3) = all_0_2_2 &  ! [v0] :  ! [v1] : ( ~ (all_0_2_2 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_2_2 = 0 |  ~ (q(v0) = 0)) & ((all_0_4_4 = 0 & r(all_0_5_5) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_4_4 = 0) & s(all_0_5_5) = all_0_4_4 &  ! [v0] :  ~ (r(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_2_2 = 0 &  ~ (all_0_4_4 = 0) & s(all_0_5_5) = all_0_4_4 & r(all_0_3_3) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))))
% 53.17/15.31  		|
% 53.17/15.31  			| Applying alpha-rule on (2956) yields:
% 53.17/15.31  			| (2957) (r(all_0_7_7) = all_0_6_6 &  ! [v0] :  ! [v1] : ( ~ (all_0_6_6 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_6_6 = 0 |  ~ (r(v0) = 0)) & ((((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_9_9) = 0 & p(all_0_11_11) = all_0_10_10) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_12_12 = 0 & s(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_12_12 = 0) & p(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))) | ( ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & s(all_0_15_15) = 0 & p(all_0_17_17) = all_0_16_16) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))))
% 53.17/15.32  			| (2958) (q(all_0_3_3) = all_0_2_2 &  ! [v0] :  ! [v1] : ( ~ (all_0_2_2 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_2_2 = 0 |  ~ (q(v0) = 0)) & ((all_0_4_4 = 0 & r(all_0_5_5) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_4_4 = 0) & s(all_0_5_5) = all_0_4_4 &  ! [v0] :  ~ (r(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_2_2 = 0 &  ~ (all_0_4_4 = 0) & s(all_0_5_5) = all_0_4_4 & r(all_0_3_3) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0))))
% 53.17/15.32  			|
% 53.17/15.32  			+-Applying beta-rule and splitting (2958), into two cases.
% 53.17/15.32  			|-Branch one:
% 53.17/15.32  			| (2959) q(all_0_3_3) = all_0_2_2 &  ! [v0] :  ! [v1] : ( ~ (all_0_2_2 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_2_2 = 0 |  ~ (q(v0) = 0)) & ((all_0_4_4 = 0 & r(all_0_5_5) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_4_4 = 0) & s(all_0_5_5) = all_0_4_4 &  ! [v0] :  ~ (r(v0) = 0)))
% 53.17/15.32  			|
% 53.17/15.32  				| Applying alpha-rule on (2959) yields:
% 53.17/15.32  				| (2960) q(all_0_3_3) = all_0_2_2
% 53.17/15.32  				| (2961)  ! [v0] :  ! [v1] : ( ~ (all_0_2_2 = 0) | v1 = 0 |  ~ (q(v0) = v1))
% 53.17/15.32  				| (2962)  ! [v0] : (all_0_2_2 = 0 |  ~ (q(v0) = 0))
% 53.17/15.32  				| (2963) (all_0_4_4 = 0 & r(all_0_5_5) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_4_4 = 0) & s(all_0_5_5) = all_0_4_4 &  ! [v0] :  ~ (r(v0) = 0))
% 53.17/15.32  				|
% 53.17/15.32  				+-Applying beta-rule and splitting (2957), into two cases.
% 53.17/15.32  				|-Branch one:
% 53.17/15.32  				| (2964) r(all_0_7_7) = all_0_6_6 &  ! [v0] :  ! [v1] : ( ~ (all_0_6_6 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_6_6 = 0 |  ~ (r(v0) = 0)) & ((((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_9_9) = 0 & p(all_0_11_11) = all_0_10_10) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_12_12 = 0 & s(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_12_12 = 0) & p(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))
% 53.17/15.32  				|
% 53.17/15.32  					| Applying alpha-rule on (2964) yields:
% 53.17/15.32  					| (2965) r(all_0_7_7) = all_0_6_6
% 53.17/15.32  					| (2966)  ! [v0] :  ! [v1] : ( ~ (all_0_6_6 = 0) | v1 = 0 |  ~ (r(v0) = v1))
% 53.17/15.32  					| (2967)  ! [v0] : (all_0_6_6 = 0 |  ~ (r(v0) = 0))
% 53.17/15.32  					| (2968) (((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_9_9) = 0 & p(all_0_11_11) = all_0_10_10) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_12_12 = 0 & s(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_12_12 = 0) & p(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))
% 53.17/15.33  					|
% 53.17/15.33  					+-Applying beta-rule and splitting (2963), into two cases.
% 53.17/15.33  					|-Branch one:
% 53.17/15.33  					| (2969) all_0_4_4 = 0 & r(all_0_5_5) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))
% 53.17/15.33  					|
% 53.17/15.33  						| Applying alpha-rule on (2969) yields:
% 53.17/15.33  						| (37) all_0_4_4 = 0
% 53.17/15.33  						| (227) r(all_0_5_5) = 0
% 53.17/15.33  						| (220)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))
% 53.17/15.33  						|
% 53.17/15.33  						| Instantiating formula (2967) with all_0_5_5 and discharging atoms r(all_0_5_5) = 0, yields:
% 53.17/15.33  						| (54) all_0_6_6 = 0
% 53.17/15.33  						|
% 53.17/15.33  						+-Applying beta-rule and splitting (2954), into two cases.
% 53.17/15.33  						|-Branch one:
% 53.17/15.33  						| (2974) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & r(all_0_21_21) = all_0_20_20 & q(all_0_19_19) = 0
% 53.17/15.33  						|
% 53.17/15.33  							| Applying alpha-rule on (2974) yields:
% 53.17/15.33  							| (33) all_0_18_18 = 0
% 53.17/15.33  							| (34)  ~ (all_0_20_20 = 0)
% 53.17/15.33  							| (2977) r(all_0_21_21) = all_0_20_20
% 53.17/15.33  							| (2978) q(all_0_19_19) = 0
% 53.17/15.33  							|
% 53.17/15.33  							| Instantiating formula (2966) with all_0_20_20, all_0_21_21 and discharging atoms r(all_0_21_21) = all_0_20_20, yields:
% 53.17/15.33  							| (2979)  ~ (all_0_6_6 = 0) | all_0_20_20 = 0
% 53.17/15.33  							|
% 53.17/15.33  							+-Applying beta-rule and splitting (2979), into two cases.
% 53.17/15.33  							|-Branch one:
% 53.17/15.33  							| (2980)  ~ (all_0_6_6 = 0)
% 53.17/15.33  							|
% 53.17/15.33  								| Equations (54) can reduce 2980 to:
% 53.17/15.33  								| (59) $false
% 53.17/15.33  								|
% 53.17/15.33  								|-The branch is then unsatisfiable
% 53.17/15.33  							|-Branch two:
% 53.17/15.33  							| (54) all_0_6_6 = 0
% 53.17/15.33  							| (81) all_0_20_20 = 0
% 53.17/15.33  							|
% 53.17/15.33  								| Equations (81) can reduce 34 to:
% 53.17/15.33  								| (59) $false
% 53.17/15.33  								|
% 53.17/15.33  								|-The branch is then unsatisfiable
% 53.17/15.33  						|-Branch two:
% 53.17/15.33  						| (2985)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] :  ~ (q(v0) = 0)
% 53.17/15.33  						|
% 53.17/15.33  							| Applying alpha-rule on (2985) yields:
% 53.17/15.33  							| (41)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 53.17/15.33  							| (212)  ! [v0] :  ~ (q(v0) = 0)
% 53.17/15.33  							|
% 53.17/15.33  							+-Applying beta-rule and splitting (2968), into two cases.
% 53.17/15.33  							|-Branch one:
% 53.17/15.33  							| (2988) ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_9_9) = 0 & p(all_0_11_11) = all_0_10_10) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))))
% 53.17/15.33  							|
% 53.17/15.33  								| Applying alpha-rule on (2988) yields:
% 53.17/15.33  								| (2989) (all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_9_9) = 0 & p(all_0_11_11) = all_0_10_10) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))
% 53.17/15.33  								| (2990) (s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0))))
% 53.17/15.33  								|
% 53.17/15.33  								+-Applying beta-rule and splitting (2990), into two cases.
% 53.17/15.33  								|-Branch one:
% 53.17/15.33  								| (2991) s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 53.17/15.33  								|
% 53.17/15.33  									| Applying alpha-rule on (2991) yields:
% 53.17/15.33  									| (130) s(all_0_13_13) = all_0_12_12
% 53.17/15.33  									| (131)  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 53.17/15.33  									| (132)  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0))
% 53.17/15.33  									| (1625) (all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 53.17/15.33  									|
% 53.17/15.33  									| Instantiating formula (220) with all_0_12_12, all_0_13_13 and discharging atoms s(all_0_13_13) = all_0_12_12, yields:
% 53.17/15.33  									| (66) all_0_12_12 = 0
% 53.17/15.33  									|
% 53.17/15.33  									| From (66) and (130) follows:
% 53.17/15.33  									| (310) s(all_0_13_13) = 0
% 53.17/15.33  									|
% 53.17/15.33  									+-Applying beta-rule and splitting (2989), into two cases.
% 53.17/15.33  									|-Branch one:
% 53.17/15.33  									| (2998) all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_9_9) = 0 & p(all_0_11_11) = all_0_10_10
% 53.17/15.33  									|
% 53.17/15.33  										| Applying alpha-rule on (2998) yields:
% 53.17/15.33  										| (120) all_0_8_8 = 0
% 53.17/15.33  										| (52)  ~ (all_0_10_10 = 0)
% 53.17/15.33  										| (396) s(all_0_9_9) = 0
% 53.17/15.33  										| (144) p(all_0_11_11) = all_0_10_10
% 53.17/15.33  										|
% 53.17/15.33  										| Instantiating formula (13) with all_0_10_10, all_0_11_11 and discharging atoms p(all_0_11_11) = all_0_10_10, yields:
% 53.17/15.33  										| (146)  ~ (all_0_0_0 = 0) | all_0_10_10 = 0
% 53.17/15.33  										|
% 53.17/15.33  										+-Applying beta-rule and splitting (1625), into two cases.
% 53.17/15.33  										|-Branch one:
% 53.17/15.33  										| (1642) all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0
% 53.17/15.33  										|
% 53.17/15.33  											| Applying alpha-rule on (1642) yields:
% 53.17/15.33  											| (74) all_0_14_14 = 0
% 53.17/15.33  											| (71)  ~ (all_0_16_16 = 0)
% 53.17/15.33  											| (23) q(all_0_17_17) = all_0_16_16
% 53.17/15.33  											| (105) p(all_0_15_15) = 0
% 53.17/15.33  											|
% 53.17/15.33  											+-Applying beta-rule and splitting (146), into two cases.
% 53.17/15.33  											|-Branch one:
% 53.17/15.33  											| (102)  ~ (all_0_0_0 = 0)
% 53.17/15.33  											|
% 53.17/15.33  												| Instantiating formula (14) with all_0_15_15 and discharging atoms p(all_0_15_15) = 0, yields:
% 53.17/15.33  												| (63) all_0_0_0 = 0
% 53.17/15.33  												|
% 53.17/15.33  												| Equations (63) can reduce 102 to:
% 53.17/15.33  												| (59) $false
% 53.17/15.33  												|
% 53.17/15.33  												|-The branch is then unsatisfiable
% 53.17/15.33  											|-Branch two:
% 53.17/15.33  											| (63) all_0_0_0 = 0
% 53.17/15.33  											| (58) all_0_10_10 = 0
% 53.17/15.33  											|
% 53.17/15.33  												| Equations (58) can reduce 52 to:
% 53.17/15.33  												| (59) $false
% 53.17/15.33  												|
% 53.17/15.33  												|-The branch is then unsatisfiable
% 53.17/15.33  										|-Branch two:
% 53.17/15.33  										| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 53.17/15.33  										|
% 53.17/15.33  											| Applying alpha-rule on (76) yields:
% 53.17/15.33  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.17/15.33  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 53.17/15.33  											|
% 53.17/15.33  											| Instantiating formula (77) with all_0_2_2, all_0_3_3 and discharging atoms q(all_0_3_3) = all_0_2_2, yields:
% 53.17/15.33  											| (39) all_0_2_2 = 0
% 53.17/15.33  											|
% 53.17/15.33  											| From (39) and (2960) follows:
% 53.17/15.33  											| (40) q(all_0_3_3) = 0
% 53.17/15.33  											|
% 53.17/15.33  											| Instantiating formula (212) with all_0_3_3 and discharging atoms q(all_0_3_3) = 0, yields:
% 53.17/15.33  											| (79) $false
% 53.17/15.33  											|
% 53.17/15.33  											|-The branch is then unsatisfiable
% 53.17/15.33  									|-Branch two:
% 53.17/15.33  									| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 53.17/15.33  									|
% 53.17/15.33  										| Applying alpha-rule on (60) yields:
% 53.17/15.33  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.17/15.33  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 53.17/15.33  										|
% 53.17/15.33  										| Instantiating formula (62) with all_0_13_13 and discharging atoms s(all_0_13_13) = 0, yields:
% 53.17/15.33  										| (79) $false
% 53.17/15.33  										|
% 53.17/15.33  										|-The branch is then unsatisfiable
% 53.17/15.33  								|-Branch two:
% 53.17/15.33  								| (3025)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))
% 53.17/15.33  								|
% 53.17/15.33  									| Applying alpha-rule on (3025) yields:
% 53.17/15.33  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 53.17/15.33  									| (1590) (all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0))
% 53.17/15.33  									|
% 53.17/15.33  									+-Applying beta-rule and splitting (2989), into two cases.
% 53.17/15.33  									|-Branch one:
% 53.17/15.33  									| (2998) all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_9_9) = 0 & p(all_0_11_11) = all_0_10_10
% 53.17/15.33  									|
% 53.17/15.33  										| Applying alpha-rule on (2998) yields:
% 53.17/15.33  										| (120) all_0_8_8 = 0
% 53.17/15.33  										| (52)  ~ (all_0_10_10 = 0)
% 53.17/15.33  										| (396) s(all_0_9_9) = 0
% 53.17/15.33  										| (144) p(all_0_11_11) = all_0_10_10
% 53.17/15.33  										|
% 53.17/15.33  										| Instantiating formula (84) with 0, all_0_9_9 and discharging atoms s(all_0_9_9) = 0, yields:
% 53.17/15.33  										| (278)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & s(v0) = v1)
% 53.17/15.34  										|
% 53.17/15.34  										| Instantiating (278) with all_69_0_1494, all_69_1_1495 yields:
% 53.17/15.34  										| (3034)  ~ (all_69_0_1494 = 0) & s(all_69_1_1495) = all_69_0_1494
% 53.17/15.34  										|
% 53.17/15.34  										| Applying alpha-rule on (3034) yields:
% 53.17/15.34  										| (3035)  ~ (all_69_0_1494 = 0)
% 53.17/15.34  										| (3036) s(all_69_1_1495) = all_69_0_1494
% 53.17/15.34  										|
% 53.17/15.34  										| Instantiating formula (220) with all_69_0_1494, all_69_1_1495 and discharging atoms s(all_69_1_1495) = all_69_0_1494, yields:
% 53.17/15.34  										| (3037) all_69_0_1494 = 0
% 53.17/15.34  										|
% 53.17/15.34  										| Equations (3037) can reduce 3035 to:
% 53.17/15.34  										| (59) $false
% 53.17/15.34  										|
% 53.17/15.34  										|-The branch is then unsatisfiable
% 53.17/15.34  									|-Branch two:
% 53.17/15.34  									| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 53.17/15.34  									|
% 53.17/15.34  										| Applying alpha-rule on (60) yields:
% 53.17/15.34  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.17/15.34  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 53.17/15.34  										|
% 53.17/15.34  										| Instantiating formula (61) with all_0_0_0, all_0_1_1 and discharging atoms p(all_0_1_1) = all_0_0_0, yields:
% 53.17/15.34  										| (63) all_0_0_0 = 0
% 53.17/15.34  										|
% 53.17/15.34  										| From (63) and (12) follows:
% 53.17/15.34  										| (64) p(all_0_1_1) = 0
% 53.17/15.34  										|
% 53.17/15.34  										+-Applying beta-rule and splitting (1590), into two cases.
% 53.17/15.34  										|-Branch one:
% 53.17/15.34  										| (1599) all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.17/15.34  										|
% 53.17/15.34  											| Applying alpha-rule on (1599) yields:
% 53.17/15.34  											| (42) all_0_16_16 = 0
% 53.17/15.34  											| (1601) p(all_0_17_17) = 0
% 53.17/15.34  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.17/15.34  											|
% 53.17/15.34  											| Instantiating formula (77) with all_0_2_2, all_0_3_3 and discharging atoms q(all_0_3_3) = all_0_2_2, yields:
% 53.17/15.34  											| (39) all_0_2_2 = 0
% 53.17/15.34  											|
% 53.17/15.34  											| From (39) and (2960) follows:
% 53.17/15.34  											| (40) q(all_0_3_3) = 0
% 53.17/15.34  											|
% 53.17/15.34  											| Instantiating formula (212) with all_0_3_3 and discharging atoms q(all_0_3_3) = 0, yields:
% 53.17/15.34  											| (79) $false
% 53.17/15.34  											|
% 53.17/15.34  											|-The branch is then unsatisfiable
% 53.17/15.34  										|-Branch two:
% 53.17/15.34  										| (1609)  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)
% 53.17/15.34  										|
% 53.17/15.34  											| Applying alpha-rule on (1609) yields:
% 53.17/15.34  											| (71)  ~ (all_0_16_16 = 0)
% 53.17/15.34  											| (23) q(all_0_17_17) = all_0_16_16
% 53.17/15.34  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 53.17/15.34  											|
% 53.17/15.34  											| Instantiating formula (78) with all_0_1_1 and discharging atoms p(all_0_1_1) = 0, yields:
% 53.17/15.34  											| (79) $false
% 53.17/15.34  											|
% 53.17/15.34  											|-The branch is then unsatisfiable
% 53.17/15.34  							|-Branch two:
% 53.17/15.34  							| (3056) ((all_0_12_12 = 0 & s(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_12_12 = 0) & p(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))
% 53.17/15.34  							|
% 53.17/15.34  								| Applying alpha-rule on (3056) yields:
% 53.17/15.34  								| (3057) (all_0_12_12 = 0 & s(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_12_12 = 0) & p(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (s(v0) = 0))
% 53.17/15.34  								| (1585) (s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))
% 53.17/15.34  								|
% 53.17/15.34  								+-Applying beta-rule and splitting (1585), into two cases.
% 53.17/15.34  								|-Branch one:
% 53.17/15.34  								| (1586) s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))
% 53.17/15.34  								|
% 53.17/15.34  									| Applying alpha-rule on (1586) yields:
% 53.17/15.34  									| (1587) s(all_0_15_15) = all_0_14_14
% 53.17/15.34  									| (1588)  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 53.17/15.34  									| (1589)  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0))
% 53.17/15.34  									| (1590) (all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0))
% 53.17/15.34  									|
% 53.17/15.34  									| Instantiating formula (220) with all_0_14_14, all_0_15_15 and discharging atoms s(all_0_15_15) = all_0_14_14, yields:
% 53.17/15.34  									| (74) all_0_14_14 = 0
% 53.17/15.34  									|
% 53.17/15.34  									| From (74) and (1587) follows:
% 53.17/15.34  									| (1521) s(all_0_15_15) = 0
% 53.17/15.34  									|
% 53.17/15.34  									+-Applying beta-rule and splitting (3057), into two cases.
% 53.17/15.34  									|-Branch one:
% 53.17/15.34  									| (3066) all_0_12_12 = 0 & s(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.17/15.34  									|
% 53.17/15.34  										| Applying alpha-rule on (3066) yields:
% 53.17/15.34  										| (66) all_0_12_12 = 0
% 53.17/15.34  										| (310) s(all_0_13_13) = 0
% 53.17/15.34  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.17/15.34  										|
% 53.17/15.34  										| Instantiating formula (61) with all_0_0_0, all_0_1_1 and discharging atoms p(all_0_1_1) = all_0_0_0, yields:
% 53.17/15.34  										| (63) all_0_0_0 = 0
% 53.17/15.34  										|
% 53.17/15.34  										| From (63) and (12) follows:
% 53.17/15.34  										| (64) p(all_0_1_1) = 0
% 53.17/15.34  										|
% 53.17/15.34  										+-Applying beta-rule and splitting (1590), into two cases.
% 53.17/15.34  										|-Branch one:
% 53.17/15.34  										| (1599) all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.17/15.34  										|
% 53.17/15.34  											| Applying alpha-rule on (1599) yields:
% 53.17/15.34  											| (42) all_0_16_16 = 0
% 53.17/15.34  											| (1601) p(all_0_17_17) = 0
% 53.17/15.34  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.17/15.34  											|
% 53.17/15.34  											| Instantiating formula (77) with all_0_2_2, all_0_3_3 and discharging atoms q(all_0_3_3) = all_0_2_2, yields:
% 53.17/15.34  											| (39) all_0_2_2 = 0
% 53.17/15.34  											|
% 53.17/15.34  											| From (39) and (2960) follows:
% 53.17/15.34  											| (40) q(all_0_3_3) = 0
% 53.17/15.34  											|
% 53.17/15.34  											| Instantiating formula (212) with all_0_3_3 and discharging atoms q(all_0_3_3) = 0, yields:
% 53.17/15.34  											| (79) $false
% 53.17/15.34  											|
% 53.17/15.34  											|-The branch is then unsatisfiable
% 53.17/15.34  										|-Branch two:
% 53.17/15.34  										| (1609)  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)
% 53.17/15.34  										|
% 53.17/15.34  											| Applying alpha-rule on (1609) yields:
% 53.17/15.34  											| (71)  ~ (all_0_16_16 = 0)
% 53.17/15.34  											| (23) q(all_0_17_17) = all_0_16_16
% 53.17/15.34  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 53.17/15.34  											|
% 53.17/15.34  											| Instantiating formula (78) with all_0_1_1 and discharging atoms p(all_0_1_1) = 0, yields:
% 53.17/15.34  											| (79) $false
% 53.17/15.34  											|
% 53.17/15.34  											|-The branch is then unsatisfiable
% 53.17/15.34  									|-Branch two:
% 53.17/15.34  									| (3084)  ~ (all_0_12_12 = 0) & p(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (s(v0) = 0)
% 53.17/15.34  									|
% 53.17/15.34  										| Applying alpha-rule on (3084) yields:
% 53.17/15.34  										| (135)  ~ (all_0_12_12 = 0)
% 53.17/15.34  										| (3086) p(all_0_13_13) = all_0_12_12
% 53.17/15.34  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 53.17/15.34  										|
% 53.17/15.34  										| Instantiating formula (62) with all_0_15_15 and discharging atoms s(all_0_15_15) = 0, yields:
% 53.17/15.34  										| (79) $false
% 53.17/15.34  										|
% 53.17/15.34  										|-The branch is then unsatisfiable
% 53.17/15.34  								|-Branch two:
% 53.17/15.34  								| (1623)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 53.17/15.34  								|
% 53.17/15.34  									| Applying alpha-rule on (1623) yields:
% 53.17/15.34  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 53.17/15.34  									| (1625) (all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 53.17/15.34  									|
% 53.17/15.34  									+-Applying beta-rule and splitting (3057), into two cases.
% 53.17/15.34  									|-Branch one:
% 53.17/15.34  									| (3066) all_0_12_12 = 0 & s(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.17/15.34  									|
% 53.17/15.34  										| Applying alpha-rule on (3066) yields:
% 53.17/15.34  										| (66) all_0_12_12 = 0
% 53.17/15.34  										| (310) s(all_0_13_13) = 0
% 53.17/15.34  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.17/15.34  										|
% 53.17/15.34  										| Instantiating formula (84) with 0, all_0_13_13 and discharging atoms s(all_0_13_13) = 0, yields:
% 53.17/15.34  										| (278)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & s(v0) = v1)
% 53.17/15.34  										|
% 53.17/15.34  										| Instantiating (278) with all_71_0_1496, all_71_1_1497 yields:
% 53.17/15.34  										| (3097)  ~ (all_71_0_1496 = 0) & s(all_71_1_1497) = all_71_0_1496
% 53.17/15.34  										|
% 53.17/15.35  										| Applying alpha-rule on (3097) yields:
% 53.17/15.35  										| (3098)  ~ (all_71_0_1496 = 0)
% 53.17/15.35  										| (3099) s(all_71_1_1497) = all_71_0_1496
% 53.17/15.35  										|
% 53.17/15.35  										| Instantiating formula (220) with all_71_0_1496, all_71_1_1497 and discharging atoms s(all_71_1_1497) = all_71_0_1496, yields:
% 53.17/15.35  										| (3100) all_71_0_1496 = 0
% 53.17/15.35  										|
% 53.17/15.35  										| Equations (3100) can reduce 3098 to:
% 53.17/15.35  										| (59) $false
% 53.17/15.35  										|
% 53.17/15.35  										|-The branch is then unsatisfiable
% 53.17/15.35  									|-Branch two:
% 53.17/15.35  									| (3084)  ~ (all_0_12_12 = 0) & p(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (s(v0) = 0)
% 53.17/15.35  									|
% 53.17/15.35  										| Applying alpha-rule on (3084) yields:
% 53.17/15.35  										| (135)  ~ (all_0_12_12 = 0)
% 53.17/15.35  										| (3086) p(all_0_13_13) = all_0_12_12
% 53.17/15.35  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 53.17/15.35  										|
% 53.17/15.35  										| Instantiating formula (13) with all_0_12_12, all_0_13_13 and discharging atoms p(all_0_13_13) = all_0_12_12, yields:
% 53.17/15.35  										| (3106)  ~ (all_0_0_0 = 0) | all_0_12_12 = 0
% 53.17/15.35  										|
% 53.17/15.35  										+-Applying beta-rule and splitting (1625), into two cases.
% 53.17/15.35  										|-Branch one:
% 53.17/15.35  										| (1642) all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0
% 53.17/15.35  										|
% 53.17/15.35  											| Applying alpha-rule on (1642) yields:
% 53.17/15.35  											| (74) all_0_14_14 = 0
% 53.17/15.35  											| (71)  ~ (all_0_16_16 = 0)
% 53.17/15.35  											| (23) q(all_0_17_17) = all_0_16_16
% 53.17/15.35  											| (105) p(all_0_15_15) = 0
% 53.17/15.35  											|
% 53.17/15.35  											+-Applying beta-rule and splitting (3106), into two cases.
% 53.17/15.35  											|-Branch one:
% 53.17/15.35  											| (102)  ~ (all_0_0_0 = 0)
% 53.17/15.35  											|
% 53.17/15.35  												| Instantiating formula (14) with all_0_15_15 and discharging atoms p(all_0_15_15) = 0, yields:
% 53.17/15.35  												| (63) all_0_0_0 = 0
% 53.17/15.35  												|
% 53.17/15.35  												| Equations (63) can reduce 102 to:
% 53.17/15.35  												| (59) $false
% 53.17/15.35  												|
% 53.17/15.35  												|-The branch is then unsatisfiable
% 53.17/15.35  											|-Branch two:
% 53.17/15.35  											| (63) all_0_0_0 = 0
% 53.17/15.35  											| (66) all_0_12_12 = 0
% 53.17/15.35  											|
% 53.17/15.35  												| Equations (66) can reduce 135 to:
% 53.17/15.35  												| (59) $false
% 53.17/15.35  												|
% 53.17/15.35  												|-The branch is then unsatisfiable
% 53.17/15.35  										|-Branch two:
% 53.17/15.35  										| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 53.17/15.35  										|
% 53.17/15.35  											| Applying alpha-rule on (76) yields:
% 53.17/15.35  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.17/15.35  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 53.17/15.35  											|
% 53.17/15.35  											| Instantiating formula (77) with all_0_2_2, all_0_3_3 and discharging atoms q(all_0_3_3) = all_0_2_2, yields:
% 53.17/15.35  											| (39) all_0_2_2 = 0
% 53.17/15.35  											|
% 53.17/15.35  											| From (39) and (2960) follows:
% 53.17/15.35  											| (40) q(all_0_3_3) = 0
% 53.17/15.35  											|
% 53.17/15.35  											| Instantiating formula (212) with all_0_3_3 and discharging atoms q(all_0_3_3) = 0, yields:
% 53.17/15.35  											| (79) $false
% 53.17/15.35  											|
% 53.17/15.35  											|-The branch is then unsatisfiable
% 53.17/15.35  					|-Branch two:
% 53.17/15.35  					| (3124)  ~ (all_0_4_4 = 0) & s(all_0_5_5) = all_0_4_4 &  ! [v0] :  ~ (r(v0) = 0)
% 53.17/15.35  					|
% 53.17/15.35  						| Applying alpha-rule on (3124) yields:
% 53.17/15.35  						| (214)  ~ (all_0_4_4 = 0)
% 53.17/15.35  						| (3126) s(all_0_5_5) = all_0_4_4
% 53.17/15.35  						| (221)  ! [v0] :  ~ (r(v0) = 0)
% 53.17/15.35  						|
% 53.17/15.35  						+-Applying beta-rule and splitting (2954), into two cases.
% 53.17/15.35  						|-Branch one:
% 53.17/15.35  						| (2974) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & r(all_0_21_21) = all_0_20_20 & q(all_0_19_19) = 0
% 53.17/15.35  						|
% 53.17/15.35  							| Applying alpha-rule on (2974) yields:
% 53.17/15.35  							| (33) all_0_18_18 = 0
% 53.17/15.35  							| (34)  ~ (all_0_20_20 = 0)
% 53.17/15.35  							| (2977) r(all_0_21_21) = all_0_20_20
% 53.17/15.35  							| (2978) q(all_0_19_19) = 0
% 53.17/15.35  							|
% 53.17/15.35  							| Instantiating formula (2962) with all_0_19_19 and discharging atoms q(all_0_19_19) = 0, yields:
% 53.17/15.35  							| (39) all_0_2_2 = 0
% 53.17/15.35  							|
% 53.17/15.35  							+-Applying beta-rule and splitting (2968), into two cases.
% 53.17/15.35  							|-Branch one:
% 53.17/15.35  							| (2988) ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_9_9) = 0 & p(all_0_11_11) = all_0_10_10) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))))
% 53.17/15.35  							|
% 53.17/15.35  								| Applying alpha-rule on (2988) yields:
% 53.17/15.35  								| (2989) (all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_9_9) = 0 & p(all_0_11_11) = all_0_10_10) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))
% 53.17/15.35  								| (2990) (s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0))))
% 53.17/15.35  								|
% 53.17/15.35  								+-Applying beta-rule and splitting (2990), into two cases.
% 53.17/15.35  								|-Branch one:
% 53.17/15.35  								| (2991) s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 53.17/15.35  								|
% 53.17/15.35  									| Applying alpha-rule on (2991) yields:
% 53.17/15.35  									| (130) s(all_0_13_13) = all_0_12_12
% 53.17/15.35  									| (131)  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 53.17/15.35  									| (132)  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0))
% 53.17/15.35  									| (1625) (all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 53.17/15.35  									|
% 53.17/15.35  									| Instantiating formula (131) with all_0_4_4, all_0_5_5 and discharging atoms s(all_0_5_5) = all_0_4_4, yields:
% 53.17/15.35  									| (3142)  ~ (all_0_12_12 = 0) | all_0_4_4 = 0
% 53.17/15.35  									|
% 53.17/15.35  									+-Applying beta-rule and splitting (3142), into two cases.
% 53.17/15.35  									|-Branch one:
% 53.17/15.35  									| (135)  ~ (all_0_12_12 = 0)
% 53.17/15.35  									|
% 53.17/15.35  										+-Applying beta-rule and splitting (2989), into two cases.
% 53.17/15.35  										|-Branch one:
% 53.17/15.35  										| (2998) all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_9_9) = 0 & p(all_0_11_11) = all_0_10_10
% 53.17/15.35  										|
% 53.17/15.35  											| Applying alpha-rule on (2998) yields:
% 53.17/15.35  											| (120) all_0_8_8 = 0
% 53.17/15.35  											| (52)  ~ (all_0_10_10 = 0)
% 53.17/15.35  											| (396) s(all_0_9_9) = 0
% 53.17/15.35  											| (144) p(all_0_11_11) = all_0_10_10
% 53.17/15.35  											|
% 53.17/15.35  											| Instantiating formula (132) with all_0_9_9 and discharging atoms s(all_0_9_9) = 0, yields:
% 53.17/15.35  											| (66) all_0_12_12 = 0
% 53.17/15.35  											|
% 53.17/15.35  											| Equations (66) can reduce 135 to:
% 53.17/15.35  											| (59) $false
% 53.17/15.35  											|
% 53.17/15.35  											|-The branch is then unsatisfiable
% 53.17/15.35  										|-Branch two:
% 53.17/15.35  										| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 53.17/15.35  										|
% 53.17/15.35  											| Applying alpha-rule on (60) yields:
% 53.17/15.35  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.17/15.35  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 53.17/15.35  											|
% 53.17/15.35  											| Instantiating formula (61) with all_0_0_0, all_0_1_1 and discharging atoms p(all_0_1_1) = all_0_0_0, yields:
% 53.17/15.35  											| (63) all_0_0_0 = 0
% 53.17/15.35  											|
% 53.17/15.35  											| From (63) and (12) follows:
% 53.17/15.35  											| (64) p(all_0_1_1) = 0
% 53.17/15.35  											|
% 53.17/15.35  											+-Applying beta-rule and splitting (1625), into two cases.
% 53.17/15.35  											|-Branch one:
% 53.17/15.35  											| (1642) all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0
% 53.17/15.35  											|
% 53.17/15.35  												| Applying alpha-rule on (1642) yields:
% 53.17/15.35  												| (74) all_0_14_14 = 0
% 53.17/15.35  												| (71)  ~ (all_0_16_16 = 0)
% 53.17/15.35  												| (23) q(all_0_17_17) = all_0_16_16
% 53.17/15.35  												| (105) p(all_0_15_15) = 0
% 53.17/15.35  												|
% 53.17/15.35  												| Instantiating formula (2961) with all_0_16_16, all_0_17_17 and discharging atoms q(all_0_17_17) = all_0_16_16, yields:
% 53.17/15.35  												| (3161)  ~ (all_0_2_2 = 0) | all_0_16_16 = 0
% 53.17/15.35  												|
% 53.17/15.35  												+-Applying beta-rule and splitting (3161), into two cases.
% 53.17/15.35  												|-Branch one:
% 53.17/15.35  												| (210)  ~ (all_0_2_2 = 0)
% 53.17/15.35  												|
% 53.17/15.35  													| Equations (39) can reduce 210 to:
% 53.17/15.35  													| (59) $false
% 53.17/15.35  													|
% 53.17/15.35  													|-The branch is then unsatisfiable
% 53.17/15.35  												|-Branch two:
% 53.17/15.35  												| (39) all_0_2_2 = 0
% 53.17/15.35  												| (42) all_0_16_16 = 0
% 53.17/15.35  												|
% 53.17/15.35  													| Equations (42) can reduce 71 to:
% 53.17/15.35  													| (59) $false
% 53.17/15.35  													|
% 53.17/15.35  													|-The branch is then unsatisfiable
% 53.17/15.35  											|-Branch two:
% 53.17/15.35  											| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 53.17/15.35  											|
% 53.17/15.35  												| Applying alpha-rule on (76) yields:
% 53.17/15.35  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.17/15.35  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 53.17/15.35  												|
% 53.17/15.35  												| Instantiating formula (78) with all_0_1_1 and discharging atoms p(all_0_1_1) = 0, yields:
% 53.17/15.35  												| (79) $false
% 53.17/15.35  												|
% 53.17/15.35  												|-The branch is then unsatisfiable
% 53.17/15.36  									|-Branch two:
% 53.17/15.36  									| (66) all_0_12_12 = 0
% 53.17/15.36  									| (37) all_0_4_4 = 0
% 53.17/15.36  									|
% 53.17/15.36  										| Equations (37) can reduce 214 to:
% 53.17/15.36  										| (59) $false
% 53.17/15.36  										|
% 53.17/15.36  										|-The branch is then unsatisfiable
% 53.17/15.36  								|-Branch two:
% 53.17/15.36  								| (3025)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))
% 53.17/15.36  								|
% 53.17/15.36  									| Applying alpha-rule on (3025) yields:
% 53.17/15.36  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 53.17/15.36  									| (1590) (all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0))
% 53.17/15.36  									|
% 53.17/15.36  									| Instantiating formula (84) with all_0_4_4, all_0_5_5 and discharging atoms s(all_0_5_5) = all_0_4_4, yields:
% 53.17/15.36  									| (3177)  ? [v0] :  ? [v1] : (( ~ (all_0_4_4 = 0) | ( ~ (v1 = 0) & s(v0) = v1)) & (all_0_4_4 = 0 | (v1 = 0 & s(v0) = 0)))
% 53.17/15.36  									|
% 53.17/15.36  									| Instantiating (3177) with all_67_0_1498, all_67_1_1499 yields:
% 53.17/15.36  									| (3178) ( ~ (all_0_4_4 = 0) | ( ~ (all_67_0_1498 = 0) & s(all_67_1_1499) = all_67_0_1498)) & (all_0_4_4 = 0 | (all_67_0_1498 = 0 & s(all_67_1_1499) = 0))
% 53.17/15.36  									|
% 53.17/15.36  									| Applying alpha-rule on (3178) yields:
% 53.17/15.36  									| (3179)  ~ (all_0_4_4 = 0) | ( ~ (all_67_0_1498 = 0) & s(all_67_1_1499) = all_67_0_1498)
% 53.17/15.36  									| (3180) all_0_4_4 = 0 | (all_67_0_1498 = 0 & s(all_67_1_1499) = 0)
% 53.17/15.36  									|
% 53.17/15.36  									+-Applying beta-rule and splitting (3180), into two cases.
% 53.17/15.36  									|-Branch one:
% 53.17/15.36  									| (37) all_0_4_4 = 0
% 53.17/15.36  									|
% 53.17/15.36  										| Equations (37) can reduce 214 to:
% 53.17/15.36  										| (59) $false
% 53.17/15.36  										|
% 53.17/15.36  										|-The branch is then unsatisfiable
% 53.17/15.36  									|-Branch two:
% 53.17/15.36  									| (214)  ~ (all_0_4_4 = 0)
% 53.17/15.36  									| (3184) all_67_0_1498 = 0 & s(all_67_1_1499) = 0
% 53.17/15.36  									|
% 53.17/15.36  										| Applying alpha-rule on (3184) yields:
% 53.17/15.36  										| (3185) all_67_0_1498 = 0
% 53.17/15.36  										| (3186) s(all_67_1_1499) = 0
% 53.17/15.36  										|
% 53.17/15.36  										+-Applying beta-rule and splitting (2989), into two cases.
% 53.17/15.36  										|-Branch one:
% 53.17/15.36  										| (2998) all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_9_9) = 0 & p(all_0_11_11) = all_0_10_10
% 53.17/15.36  										|
% 53.17/15.36  											| Applying alpha-rule on (2998) yields:
% 53.17/15.36  											| (120) all_0_8_8 = 0
% 53.17/15.36  											| (52)  ~ (all_0_10_10 = 0)
% 53.17/15.36  											| (396) s(all_0_9_9) = 0
% 53.17/15.36  											| (144) p(all_0_11_11) = all_0_10_10
% 53.17/15.36  											|
% 53.17/15.36  											| Instantiating formula (13) with all_0_10_10, all_0_11_11 and discharging atoms p(all_0_11_11) = all_0_10_10, yields:
% 53.17/15.36  											| (146)  ~ (all_0_0_0 = 0) | all_0_10_10 = 0
% 53.17/15.36  											|
% 53.17/15.36  											+-Applying beta-rule and splitting (146), into two cases.
% 53.17/15.36  											|-Branch one:
% 53.17/15.36  											| (102)  ~ (all_0_0_0 = 0)
% 53.17/15.36  											|
% 53.17/15.36  												+-Applying beta-rule and splitting (1590), into two cases.
% 53.17/15.36  												|-Branch one:
% 53.17/15.36  												| (1599) all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.17/15.36  												|
% 53.17/15.36  													| Applying alpha-rule on (1599) yields:
% 53.17/15.36  													| (42) all_0_16_16 = 0
% 53.17/15.36  													| (1601) p(all_0_17_17) = 0
% 53.17/15.36  													| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.17/15.36  													|
% 53.17/15.36  													| Instantiating formula (14) with all_0_17_17 and discharging atoms p(all_0_17_17) = 0, yields:
% 53.17/15.36  													| (63) all_0_0_0 = 0
% 53.17/15.36  													|
% 53.17/15.36  													| Equations (63) can reduce 102 to:
% 53.17/15.36  													| (59) $false
% 53.17/15.36  													|
% 53.17/15.36  													|-The branch is then unsatisfiable
% 53.17/15.36  												|-Branch two:
% 53.17/15.36  												| (1609)  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)
% 53.17/15.36  												|
% 53.17/15.36  													| Applying alpha-rule on (1609) yields:
% 53.17/15.36  													| (71)  ~ (all_0_16_16 = 0)
% 53.17/15.36  													| (23) q(all_0_17_17) = all_0_16_16
% 53.17/15.36  													| (78)  ! [v0] :  ~ (p(v0) = 0)
% 53.17/15.36  													|
% 53.17/15.36  													| Instantiating formula (2961) with all_0_16_16, all_0_17_17 and discharging atoms q(all_0_17_17) = all_0_16_16, yields:
% 53.17/15.36  													| (3161)  ~ (all_0_2_2 = 0) | all_0_16_16 = 0
% 53.17/15.36  													|
% 53.17/15.36  													+-Applying beta-rule and splitting (3161), into two cases.
% 53.17/15.36  													|-Branch one:
% 53.17/15.36  													| (210)  ~ (all_0_2_2 = 0)
% 53.17/15.36  													|
% 53.17/15.36  														| Equations (39) can reduce 210 to:
% 53.17/15.36  														| (59) $false
% 53.17/15.36  														|
% 53.17/15.36  														|-The branch is then unsatisfiable
% 53.17/15.36  													|-Branch two:
% 53.17/15.36  													| (39) all_0_2_2 = 0
% 53.17/15.36  													| (42) all_0_16_16 = 0
% 53.17/15.36  													|
% 53.17/15.36  														| Equations (42) can reduce 71 to:
% 53.17/15.36  														| (59) $false
% 53.17/15.36  														|
% 53.17/15.36  														|-The branch is then unsatisfiable
% 53.17/15.36  											|-Branch two:
% 53.17/15.36  											| (63) all_0_0_0 = 0
% 53.17/15.36  											| (58) all_0_10_10 = 0
% 53.17/15.36  											|
% 53.17/15.36  												| Equations (58) can reduce 52 to:
% 53.17/15.36  												| (59) $false
% 53.17/15.36  												|
% 53.17/15.36  												|-The branch is then unsatisfiable
% 53.17/15.36  										|-Branch two:
% 53.17/15.36  										| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 53.17/15.36  										|
% 53.17/15.36  											| Applying alpha-rule on (60) yields:
% 53.17/15.36  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.17/15.36  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 53.17/15.36  											|
% 53.17/15.36  											| Instantiating formula (62) with all_67_1_1499 and discharging atoms s(all_67_1_1499) = 0, yields:
% 53.17/15.36  											| (79) $false
% 53.17/15.36  											|
% 53.17/15.36  											|-The branch is then unsatisfiable
% 53.17/15.36  							|-Branch two:
% 53.17/15.36  							| (3056) ((all_0_12_12 = 0 & s(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_12_12 = 0) & p(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))
% 53.17/15.36  							|
% 53.17/15.36  								| Applying alpha-rule on (3056) yields:
% 53.17/15.36  								| (3057) (all_0_12_12 = 0 & s(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_12_12 = 0) & p(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (s(v0) = 0))
% 53.17/15.36  								| (1585) (s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))
% 53.17/15.36  								|
% 53.17/15.36  								+-Applying beta-rule and splitting (1585), into two cases.
% 53.17/15.36  								|-Branch one:
% 53.17/15.36  								| (1586) s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))
% 53.17/15.36  								|
% 53.17/15.36  									| Applying alpha-rule on (1586) yields:
% 53.17/15.36  									| (1587) s(all_0_15_15) = all_0_14_14
% 53.17/15.36  									| (1588)  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 53.17/15.36  									| (1589)  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0))
% 53.17/15.36  									| (1590) (all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0))
% 53.17/15.36  									|
% 53.17/15.36  									| Instantiating formula (1588) with all_0_4_4, all_0_5_5 and discharging atoms s(all_0_5_5) = all_0_4_4, yields:
% 53.17/15.36  									| (3225)  ~ (all_0_14_14 = 0) | all_0_4_4 = 0
% 53.17/15.36  									|
% 53.17/15.36  									+-Applying beta-rule and splitting (3225), into two cases.
% 53.17/15.36  									|-Branch one:
% 53.17/15.36  									| (67)  ~ (all_0_14_14 = 0)
% 53.17/15.36  									|
% 53.17/15.36  										+-Applying beta-rule and splitting (3057), into two cases.
% 53.17/15.36  										|-Branch one:
% 53.17/15.36  										| (3066) all_0_12_12 = 0 & s(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.17/15.36  										|
% 53.17/15.36  											| Applying alpha-rule on (3066) yields:
% 53.17/15.36  											| (66) all_0_12_12 = 0
% 53.17/15.36  											| (310) s(all_0_13_13) = 0
% 53.17/15.36  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.17/15.36  											|
% 53.17/15.36  											| Instantiating formula (1589) with all_0_13_13 and discharging atoms s(all_0_13_13) = 0, yields:
% 53.17/15.36  											| (74) all_0_14_14 = 0
% 53.17/15.36  											|
% 53.17/15.36  											| Equations (74) can reduce 67 to:
% 53.17/15.36  											| (59) $false
% 53.17/15.36  											|
% 53.17/15.36  											|-The branch is then unsatisfiable
% 53.17/15.36  										|-Branch two:
% 53.17/15.36  										| (3084)  ~ (all_0_12_12 = 0) & p(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (s(v0) = 0)
% 53.17/15.36  										|
% 53.17/15.36  											| Applying alpha-rule on (3084) yields:
% 53.17/15.36  											| (135)  ~ (all_0_12_12 = 0)
% 53.17/15.36  											| (3086) p(all_0_13_13) = all_0_12_12
% 53.17/15.36  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 53.17/15.36  											|
% 53.17/15.36  											| Instantiating formula (13) with all_0_12_12, all_0_13_13 and discharging atoms p(all_0_13_13) = all_0_12_12, yields:
% 53.17/15.36  											| (3106)  ~ (all_0_0_0 = 0) | all_0_12_12 = 0
% 53.17/15.36  											|
% 53.17/15.36  											+-Applying beta-rule and splitting (1590), into two cases.
% 53.17/15.36  											|-Branch one:
% 53.17/15.36  											| (1599) all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.17/15.37  											|
% 53.17/15.37  												| Applying alpha-rule on (1599) yields:
% 53.17/15.37  												| (42) all_0_16_16 = 0
% 53.17/15.37  												| (1601) p(all_0_17_17) = 0
% 53.17/15.37  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.17/15.37  												|
% 53.17/15.37  												+-Applying beta-rule and splitting (3106), into two cases.
% 53.17/15.37  												|-Branch one:
% 53.17/15.37  												| (102)  ~ (all_0_0_0 = 0)
% 53.17/15.37  												|
% 53.17/15.37  													| Instantiating formula (14) with all_0_17_17 and discharging atoms p(all_0_17_17) = 0, yields:
% 53.17/15.37  													| (63) all_0_0_0 = 0
% 53.17/15.37  													|
% 53.17/15.37  													| Equations (63) can reduce 102 to:
% 53.17/15.37  													| (59) $false
% 53.17/15.37  													|
% 53.17/15.37  													|-The branch is then unsatisfiable
% 53.17/15.37  												|-Branch two:
% 53.17/15.37  												| (63) all_0_0_0 = 0
% 53.17/15.37  												| (66) all_0_12_12 = 0
% 53.17/15.37  												|
% 53.17/15.37  													| Equations (66) can reduce 135 to:
% 53.17/15.37  													| (59) $false
% 53.17/15.37  													|
% 53.17/15.37  													|-The branch is then unsatisfiable
% 53.17/15.37  											|-Branch two:
% 53.17/15.37  											| (1609)  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)
% 53.17/15.37  											|
% 53.17/15.37  												| Applying alpha-rule on (1609) yields:
% 53.17/15.37  												| (71)  ~ (all_0_16_16 = 0)
% 53.17/15.37  												| (23) q(all_0_17_17) = all_0_16_16
% 53.17/15.37  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 53.17/15.37  												|
% 53.17/15.37  												| Instantiating formula (2961) with all_0_16_16, all_0_17_17 and discharging atoms q(all_0_17_17) = all_0_16_16, yields:
% 53.17/15.37  												| (3161)  ~ (all_0_2_2 = 0) | all_0_16_16 = 0
% 53.17/15.37  												|
% 53.17/15.37  												+-Applying beta-rule and splitting (3161), into two cases.
% 53.17/15.37  												|-Branch one:
% 53.17/15.37  												| (210)  ~ (all_0_2_2 = 0)
% 53.17/15.37  												|
% 53.17/15.37  													| Equations (39) can reduce 210 to:
% 53.17/15.37  													| (59) $false
% 53.17/15.37  													|
% 53.17/15.37  													|-The branch is then unsatisfiable
% 53.17/15.37  												|-Branch two:
% 53.17/15.37  												| (39) all_0_2_2 = 0
% 53.17/15.37  												| (42) all_0_16_16 = 0
% 53.17/15.37  												|
% 53.17/15.37  													| Equations (42) can reduce 71 to:
% 53.17/15.37  													| (59) $false
% 53.17/15.37  													|
% 53.17/15.37  													|-The branch is then unsatisfiable
% 53.17/15.37  									|-Branch two:
% 53.17/15.37  									| (74) all_0_14_14 = 0
% 53.17/15.37  									| (37) all_0_4_4 = 0
% 53.17/15.37  									|
% 53.17/15.37  										| Equations (37) can reduce 214 to:
% 53.17/15.37  										| (59) $false
% 53.17/15.37  										|
% 53.17/15.37  										|-The branch is then unsatisfiable
% 53.17/15.37  								|-Branch two:
% 53.17/15.37  								| (1623)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 53.17/15.37  								|
% 53.17/15.37  									| Applying alpha-rule on (1623) yields:
% 53.17/15.37  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 53.17/15.37  									| (1625) (all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 53.17/15.37  									|
% 53.17/15.37  									| Instantiating formula (84) with all_0_4_4, all_0_5_5 and discharging atoms s(all_0_5_5) = all_0_4_4, yields:
% 53.17/15.37  									| (3177)  ? [v0] :  ? [v1] : (( ~ (all_0_4_4 = 0) | ( ~ (v1 = 0) & s(v0) = v1)) & (all_0_4_4 = 0 | (v1 = 0 & s(v0) = 0)))
% 53.17/15.37  									|
% 53.17/15.37  									| Instantiating (3177) with all_67_0_1510, all_67_1_1511 yields:
% 53.17/15.37  									| (3265) ( ~ (all_0_4_4 = 0) | ( ~ (all_67_0_1510 = 0) & s(all_67_1_1511) = all_67_0_1510)) & (all_0_4_4 = 0 | (all_67_0_1510 = 0 & s(all_67_1_1511) = 0))
% 53.17/15.37  									|
% 53.17/15.37  									| Applying alpha-rule on (3265) yields:
% 53.17/15.37  									| (3266)  ~ (all_0_4_4 = 0) | ( ~ (all_67_0_1510 = 0) & s(all_67_1_1511) = all_67_0_1510)
% 53.17/15.37  									| (3267) all_0_4_4 = 0 | (all_67_0_1510 = 0 & s(all_67_1_1511) = 0)
% 53.17/15.37  									|
% 53.17/15.37  									+-Applying beta-rule and splitting (3267), into two cases.
% 53.17/15.37  									|-Branch one:
% 53.17/15.37  									| (37) all_0_4_4 = 0
% 53.17/15.37  									|
% 53.17/15.37  										| Equations (37) can reduce 214 to:
% 53.17/15.37  										| (59) $false
% 53.17/15.37  										|
% 53.17/15.37  										|-The branch is then unsatisfiable
% 53.17/15.37  									|-Branch two:
% 53.17/15.37  									| (214)  ~ (all_0_4_4 = 0)
% 53.17/15.37  									| (3271) all_67_0_1510 = 0 & s(all_67_1_1511) = 0
% 53.17/15.37  									|
% 53.17/15.37  										| Applying alpha-rule on (3271) yields:
% 53.17/15.37  										| (3272) all_67_0_1510 = 0
% 53.17/15.37  										| (3273) s(all_67_1_1511) = 0
% 53.17/15.37  										|
% 53.17/15.37  										+-Applying beta-rule and splitting (3057), into two cases.
% 53.17/15.37  										|-Branch one:
% 53.17/15.37  										| (3066) all_0_12_12 = 0 & s(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.17/15.37  										|
% 53.17/15.37  											| Applying alpha-rule on (3066) yields:
% 53.17/15.37  											| (66) all_0_12_12 = 0
% 53.17/15.37  											| (310) s(all_0_13_13) = 0
% 53.17/15.37  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.17/15.37  											|
% 53.17/15.37  											| Instantiating formula (61) with all_0_0_0, all_0_1_1 and discharging atoms p(all_0_1_1) = all_0_0_0, yields:
% 53.17/15.37  											| (63) all_0_0_0 = 0
% 53.17/15.37  											|
% 53.17/15.37  											| From (63) and (12) follows:
% 53.17/15.37  											| (64) p(all_0_1_1) = 0
% 53.17/15.37  											|
% 53.17/15.37  											+-Applying beta-rule and splitting (1625), into two cases.
% 53.17/15.37  											|-Branch one:
% 53.17/15.37  											| (1642) all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0
% 53.17/15.37  											|
% 53.17/15.37  												| Applying alpha-rule on (1642) yields:
% 53.17/15.37  												| (74) all_0_14_14 = 0
% 53.17/15.37  												| (71)  ~ (all_0_16_16 = 0)
% 53.17/15.37  												| (23) q(all_0_17_17) = all_0_16_16
% 53.17/15.37  												| (105) p(all_0_15_15) = 0
% 53.17/15.37  												|
% 53.17/15.37  												| Instantiating formula (2961) with all_0_16_16, all_0_17_17 and discharging atoms q(all_0_17_17) = all_0_16_16, yields:
% 53.17/15.37  												| (3161)  ~ (all_0_2_2 = 0) | all_0_16_16 = 0
% 53.17/15.37  												|
% 53.17/15.37  												+-Applying beta-rule and splitting (3161), into two cases.
% 53.17/15.37  												|-Branch one:
% 53.17/15.37  												| (210)  ~ (all_0_2_2 = 0)
% 53.17/15.37  												|
% 53.17/15.37  													| Equations (39) can reduce 210 to:
% 53.17/15.37  													| (59) $false
% 53.17/15.37  													|
% 53.17/15.37  													|-The branch is then unsatisfiable
% 53.17/15.37  												|-Branch two:
% 53.17/15.37  												| (39) all_0_2_2 = 0
% 53.17/15.37  												| (42) all_0_16_16 = 0
% 53.17/15.37  												|
% 53.17/15.37  													| Equations (42) can reduce 71 to:
% 53.17/15.37  													| (59) $false
% 53.17/15.37  													|
% 53.17/15.37  													|-The branch is then unsatisfiable
% 53.17/15.37  											|-Branch two:
% 53.17/15.37  											| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 53.17/15.37  											|
% 53.17/15.37  												| Applying alpha-rule on (76) yields:
% 53.17/15.37  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.17/15.37  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 53.17/15.37  												|
% 53.17/15.37  												| Instantiating formula (78) with all_0_1_1 and discharging atoms p(all_0_1_1) = 0, yields:
% 53.17/15.37  												| (79) $false
% 53.17/15.37  												|
% 53.17/15.37  												|-The branch is then unsatisfiable
% 53.17/15.37  										|-Branch two:
% 53.17/15.37  										| (3084)  ~ (all_0_12_12 = 0) & p(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (s(v0) = 0)
% 53.17/15.37  										|
% 53.17/15.37  											| Applying alpha-rule on (3084) yields:
% 53.17/15.37  											| (135)  ~ (all_0_12_12 = 0)
% 53.17/15.37  											| (3086) p(all_0_13_13) = all_0_12_12
% 53.17/15.37  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 53.17/15.37  											|
% 53.17/15.37  											| Instantiating formula (62) with all_67_1_1511 and discharging atoms s(all_67_1_1511) = 0, yields:
% 53.17/15.37  											| (79) $false
% 53.17/15.37  											|
% 53.17/15.37  											|-The branch is then unsatisfiable
% 53.17/15.37  						|-Branch two:
% 53.17/15.37  						| (2985)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] :  ~ (q(v0) = 0)
% 53.17/15.37  						|
% 53.17/15.37  							| Applying alpha-rule on (2985) yields:
% 53.17/15.37  							| (41)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 53.17/15.37  							| (212)  ! [v0] :  ~ (q(v0) = 0)
% 53.17/15.37  							|
% 53.17/15.37  							| Instantiating formula (41) with all_0_6_6, all_0_7_7 and discharging atoms r(all_0_7_7) = all_0_6_6, yields:
% 53.17/15.37  							| (54) all_0_6_6 = 0
% 53.17/15.37  							|
% 53.17/15.37  							| From (54) and (2965) follows:
% 53.17/15.37  							| (3304) r(all_0_7_7) = 0
% 53.17/15.37  							|
% 53.17/15.37  							| Instantiating formula (221) with all_0_7_7 and discharging atoms r(all_0_7_7) = 0, yields:
% 53.17/15.37  							| (79) $false
% 53.17/15.37  							|
% 53.17/15.37  							|-The branch is then unsatisfiable
% 53.17/15.37  				|-Branch two:
% 53.17/15.37  				| (3306)  ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & s(all_0_15_15) = 0 & p(all_0_17_17) = all_0_16_16) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))
% 53.17/15.37  				|
% 53.17/15.37  					| Applying alpha-rule on (3306) yields:
% 53.17/15.37  					| (370)  ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0))))
% 53.17/15.37  					| (3308) (((all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & s(all_0_15_15) = 0 & p(all_0_17_17) = all_0_16_16) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))
% 53.17/15.38  					|
% 53.17/15.38  					+-Applying beta-rule and splitting (2963), into two cases.
% 53.17/15.38  					|-Branch one:
% 53.17/15.38  					| (2969) all_0_4_4 = 0 & r(all_0_5_5) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))
% 53.17/15.38  					|
% 53.17/15.38  						| Applying alpha-rule on (2969) yields:
% 53.17/15.38  						| (37) all_0_4_4 = 0
% 53.17/15.38  						| (227) r(all_0_5_5) = 0
% 53.17/15.38  						| (220)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))
% 53.17/15.38  						|
% 53.17/15.38  						| Instantiating formula (370) with 0, all_0_5_5 and discharging atoms r(all_0_5_5) = 0, yields:
% 53.17/15.38  						| (377)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & r(v0) = v1)
% 53.17/15.38  						|
% 53.17/15.38  						| Instantiating (377) with all_45_0_1522, all_45_1_1523 yields:
% 53.17/15.38  						| (3314)  ~ (all_45_0_1522 = 0) & r(all_45_1_1523) = all_45_0_1522
% 53.17/15.38  						|
% 53.17/15.38  						| Applying alpha-rule on (3314) yields:
% 53.17/15.38  						| (3315)  ~ (all_45_0_1522 = 0)
% 53.17/15.38  						| (3316) r(all_45_1_1523) = all_45_0_1522
% 53.17/15.38  						|
% 53.17/15.38  						+-Applying beta-rule and splitting (2954), into two cases.
% 53.17/15.38  						|-Branch one:
% 53.17/15.38  						| (2974) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & r(all_0_21_21) = all_0_20_20 & q(all_0_19_19) = 0
% 53.17/15.38  						|
% 53.17/15.38  							| Applying alpha-rule on (2974) yields:
% 53.17/15.38  							| (33) all_0_18_18 = 0
% 53.17/15.38  							| (34)  ~ (all_0_20_20 = 0)
% 53.17/15.38  							| (2977) r(all_0_21_21) = all_0_20_20
% 53.17/15.38  							| (2978) q(all_0_19_19) = 0
% 53.17/15.38  							|
% 53.17/15.38  							| Instantiating formula (2962) with all_0_19_19 and discharging atoms q(all_0_19_19) = 0, yields:
% 53.17/15.38  							| (39) all_0_2_2 = 0
% 53.17/15.38  							|
% 53.17/15.38  							+-Applying beta-rule and splitting (3308), into two cases.
% 53.17/15.38  							|-Branch one:
% 53.17/15.38  							| (3323) ((all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))))
% 53.17/15.38  							|
% 53.17/15.38  								| Applying alpha-rule on (3323) yields:
% 53.17/15.38  								| (127) (all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))
% 53.17/15.38  								| (2990) (s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0))))
% 53.17/15.38  								|
% 53.17/15.38  								+-Applying beta-rule and splitting (127), into two cases.
% 53.17/15.38  								|-Branch one:
% 53.17/15.38  								| (136) all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.17/15.38  								|
% 53.17/15.38  									| Applying alpha-rule on (136) yields:
% 53.17/15.38  									| (58) all_0_10_10 = 0
% 53.17/15.38  									| (138) s(all_0_11_11) = 0
% 53.17/15.38  									| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.17/15.38  									|
% 53.17/15.38  									| Instantiating formula (61) with all_0_0_0, all_0_1_1 and discharging atoms p(all_0_1_1) = all_0_0_0, yields:
% 53.17/15.38  									| (63) all_0_0_0 = 0
% 53.17/15.38  									|
% 53.17/15.38  									| From (63) and (12) follows:
% 53.17/15.38  									| (64) p(all_0_1_1) = 0
% 53.17/15.38  									|
% 53.17/15.38  									+-Applying beta-rule and splitting (2990), into two cases.
% 53.17/15.38  									|-Branch one:
% 53.17/15.38  									| (2991) s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 53.17/15.38  									|
% 53.17/15.38  										| Applying alpha-rule on (2991) yields:
% 53.17/15.38  										| (130) s(all_0_13_13) = all_0_12_12
% 53.17/15.38  										| (131)  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 53.17/15.38  										| (132)  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0))
% 53.17/15.38  										| (1625) (all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 53.17/15.38  										|
% 53.17/15.38  										+-Applying beta-rule and splitting (1625), into two cases.
% 53.17/15.38  										|-Branch one:
% 53.17/15.38  										| (1642) all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0
% 53.17/15.38  										|
% 53.17/15.38  											| Applying alpha-rule on (1642) yields:
% 53.17/15.38  											| (74) all_0_14_14 = 0
% 53.17/15.38  											| (71)  ~ (all_0_16_16 = 0)
% 53.17/15.38  											| (23) q(all_0_17_17) = all_0_16_16
% 53.17/15.38  											| (105) p(all_0_15_15) = 0
% 53.17/15.38  											|
% 53.17/15.38  											| Instantiating formula (2961) with all_0_16_16, all_0_17_17 and discharging atoms q(all_0_17_17) = all_0_16_16, yields:
% 53.17/15.38  											| (3161)  ~ (all_0_2_2 = 0) | all_0_16_16 = 0
% 53.17/15.38  											|
% 53.17/15.38  											+-Applying beta-rule and splitting (3161), into two cases.
% 53.17/15.38  											|-Branch one:
% 53.17/15.38  											| (210)  ~ (all_0_2_2 = 0)
% 53.17/15.38  											|
% 53.17/15.38  												| Equations (39) can reduce 210 to:
% 53.17/15.38  												| (59) $false
% 53.17/15.38  												|
% 53.17/15.38  												|-The branch is then unsatisfiable
% 53.17/15.38  											|-Branch two:
% 53.17/15.38  											| (39) all_0_2_2 = 0
% 53.17/15.38  											| (42) all_0_16_16 = 0
% 53.17/15.38  											|
% 53.17/15.38  												| Equations (42) can reduce 71 to:
% 53.17/15.38  												| (59) $false
% 53.17/15.38  												|
% 53.17/15.38  												|-The branch is then unsatisfiable
% 53.17/15.38  										|-Branch two:
% 53.17/15.38  										| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 53.17/15.38  										|
% 53.17/15.38  											| Applying alpha-rule on (76) yields:
% 53.17/15.38  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.17/15.38  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 53.17/15.38  											|
% 53.17/15.38  											| Instantiating formula (78) with all_0_1_1 and discharging atoms p(all_0_1_1) = 0, yields:
% 53.17/15.38  											| (79) $false
% 53.17/15.38  											|
% 53.17/15.38  											|-The branch is then unsatisfiable
% 53.17/15.38  									|-Branch two:
% 53.17/15.38  									| (3025)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))
% 53.17/15.38  									|
% 53.17/15.38  										| Applying alpha-rule on (3025) yields:
% 53.17/15.38  										| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 53.17/15.38  										| (1590) (all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0))
% 53.17/15.38  										|
% 53.17/15.38  										| Instantiating formula (84) with 0, all_0_11_11 and discharging atoms s(all_0_11_11) = 0, yields:
% 53.17/15.38  										| (278)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & s(v0) = v1)
% 53.17/15.38  										|
% 53.17/15.38  										| Instantiating (278) with all_287_0_1636, all_287_1_1637 yields:
% 53.17/15.38  										| (3356)  ~ (all_287_0_1636 = 0) & s(all_287_1_1637) = all_287_0_1636
% 53.17/15.38  										|
% 53.17/15.38  										| Applying alpha-rule on (3356) yields:
% 53.17/15.38  										| (3357)  ~ (all_287_0_1636 = 0)
% 53.17/15.38  										| (3358) s(all_287_1_1637) = all_287_0_1636
% 53.17/15.38  										|
% 53.17/15.38  										| Instantiating formula (220) with all_287_0_1636, all_287_1_1637 and discharging atoms s(all_287_1_1637) = all_287_0_1636, yields:
% 53.17/15.38  										| (3359) all_287_0_1636 = 0
% 53.17/15.38  										|
% 53.17/15.38  										| Equations (3359) can reduce 3357 to:
% 53.17/15.38  										| (59) $false
% 53.17/15.38  										|
% 53.17/15.38  										|-The branch is then unsatisfiable
% 53.17/15.38  								|-Branch two:
% 53.17/15.38  								| (142)  ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0)
% 53.17/15.38  								|
% 53.17/15.38  									| Applying alpha-rule on (142) yields:
% 53.17/15.38  									| (52)  ~ (all_0_10_10 = 0)
% 53.17/15.38  									| (144) p(all_0_11_11) = all_0_10_10
% 53.17/15.38  									| (62)  ! [v0] :  ~ (s(v0) = 0)
% 53.17/15.38  									|
% 53.17/15.38  									| Instantiating formula (13) with all_0_10_10, all_0_11_11 and discharging atoms p(all_0_11_11) = all_0_10_10, yields:
% 53.17/15.38  									| (146)  ~ (all_0_0_0 = 0) | all_0_10_10 = 0
% 53.17/15.38  									|
% 53.17/15.38  									+-Applying beta-rule and splitting (2990), into two cases.
% 53.17/15.38  									|-Branch one:
% 53.17/15.38  									| (2991) s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 53.17/15.39  									|
% 53.17/15.39  										| Applying alpha-rule on (2991) yields:
% 53.17/15.39  										| (130) s(all_0_13_13) = all_0_12_12
% 53.17/15.39  										| (131)  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 53.17/15.39  										| (132)  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0))
% 53.17/15.39  										| (1625) (all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 53.17/15.39  										|
% 53.17/15.39  										| Instantiating formula (220) with all_0_12_12, all_0_13_13 and discharging atoms s(all_0_13_13) = all_0_12_12, yields:
% 53.17/15.39  										| (66) all_0_12_12 = 0
% 53.17/15.39  										|
% 53.17/15.39  										| From (66) and (130) follows:
% 53.17/15.39  										| (310) s(all_0_13_13) = 0
% 53.17/15.39  										|
% 53.17/15.39  										| Instantiating formula (62) with all_0_13_13 and discharging atoms s(all_0_13_13) = 0, yields:
% 53.17/15.39  										| (79) $false
% 53.17/15.39  										|
% 53.17/15.39  										|-The branch is then unsatisfiable
% 53.17/15.39  									|-Branch two:
% 53.17/15.39  									| (3025)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))
% 53.17/15.39  									|
% 53.17/15.39  										| Applying alpha-rule on (3025) yields:
% 53.17/15.39  										| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 53.17/15.39  										| (1590) (all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0))
% 53.17/15.39  										|
% 53.17/15.39  										+-Applying beta-rule and splitting (146), into two cases.
% 53.17/15.39  										|-Branch one:
% 53.17/15.39  										| (102)  ~ (all_0_0_0 = 0)
% 53.17/15.39  										|
% 53.17/15.39  											+-Applying beta-rule and splitting (1590), into two cases.
% 53.17/15.39  											|-Branch one:
% 53.17/15.39  											| (1599) all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.17/15.39  											|
% 53.17/15.39  												| Applying alpha-rule on (1599) yields:
% 53.17/15.39  												| (42) all_0_16_16 = 0
% 53.17/15.39  												| (1601) p(all_0_17_17) = 0
% 53.17/15.39  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.17/15.39  												|
% 53.17/15.39  												| Instantiating formula (14) with all_0_17_17 and discharging atoms p(all_0_17_17) = 0, yields:
% 53.17/15.39  												| (63) all_0_0_0 = 0
% 53.17/15.39  												|
% 53.17/15.39  												| Equations (63) can reduce 102 to:
% 53.17/15.39  												| (59) $false
% 53.17/15.39  												|
% 53.17/15.39  												|-The branch is then unsatisfiable
% 53.17/15.39  											|-Branch two:
% 53.17/15.39  											| (1609)  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)
% 53.17/15.39  											|
% 53.17/15.39  												| Applying alpha-rule on (1609) yields:
% 53.17/15.39  												| (71)  ~ (all_0_16_16 = 0)
% 53.17/15.39  												| (23) q(all_0_17_17) = all_0_16_16
% 53.17/15.39  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 53.17/15.39  												|
% 53.17/15.39  												| Instantiating formula (2961) with all_0_16_16, all_0_17_17 and discharging atoms q(all_0_17_17) = all_0_16_16, yields:
% 53.17/15.39  												| (3161)  ~ (all_0_2_2 = 0) | all_0_16_16 = 0
% 53.17/15.39  												|
% 53.17/15.39  												+-Applying beta-rule and splitting (3161), into two cases.
% 53.17/15.39  												|-Branch one:
% 53.17/15.39  												| (210)  ~ (all_0_2_2 = 0)
% 53.17/15.39  												|
% 53.17/15.39  													| Equations (39) can reduce 210 to:
% 53.17/15.39  													| (59) $false
% 53.17/15.39  													|
% 53.17/15.39  													|-The branch is then unsatisfiable
% 53.17/15.39  												|-Branch two:
% 53.17/15.39  												| (39) all_0_2_2 = 0
% 53.17/15.39  												| (42) all_0_16_16 = 0
% 53.17/15.39  												|
% 53.17/15.39  													| Equations (42) can reduce 71 to:
% 53.17/15.39  													| (59) $false
% 53.17/15.39  													|
% 53.17/15.39  													|-The branch is then unsatisfiable
% 53.17/15.39  										|-Branch two:
% 53.17/15.39  										| (63) all_0_0_0 = 0
% 53.17/15.39  										| (58) all_0_10_10 = 0
% 53.17/15.39  										|
% 53.17/15.39  											| Equations (58) can reduce 52 to:
% 53.17/15.39  											| (59) $false
% 53.17/15.39  											|
% 53.17/15.39  											|-The branch is then unsatisfiable
% 53.17/15.39  							|-Branch two:
% 53.17/15.39  							| (3397) ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & s(all_0_15_15) = 0 & p(all_0_17_17) = all_0_16_16) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))
% 53.17/15.39  							|
% 53.17/15.39  								| Applying alpha-rule on (3397) yields:
% 53.17/15.39  								| (3398) (all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & s(all_0_15_15) = 0 & p(all_0_17_17) = all_0_16_16) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))
% 53.17/15.39  								| (3399) (s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))
% 53.17/15.39  								|
% 53.17/15.39  								+-Applying beta-rule and splitting (3398), into two cases.
% 53.17/15.39  								|-Branch one:
% 53.17/15.39  								| (3400) all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & s(all_0_15_15) = 0 & p(all_0_17_17) = all_0_16_16
% 53.17/15.39  								|
% 53.17/15.39  									| Applying alpha-rule on (3400) yields:
% 53.17/15.39  									| (74) all_0_14_14 = 0
% 53.17/15.39  									| (71)  ~ (all_0_16_16 = 0)
% 53.17/15.39  									| (1521) s(all_0_15_15) = 0
% 53.17/15.39  									| (1962) p(all_0_17_17) = all_0_16_16
% 53.17/15.39  									|
% 53.17/15.39  									| Instantiating formula (13) with all_0_16_16, all_0_17_17 and discharging atoms p(all_0_17_17) = all_0_16_16, yields:
% 53.17/15.39  									| (1964)  ~ (all_0_0_0 = 0) | all_0_16_16 = 0
% 53.17/15.39  									|
% 53.17/15.39  									+-Applying beta-rule and splitting (3399), into two cases.
% 53.17/15.39  									|-Branch one:
% 53.17/15.39  									| (3406) s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0)))
% 53.17/15.39  									|
% 53.17/15.39  										| Applying alpha-rule on (3406) yields:
% 53.17/15.39  										| (47) s(all_0_11_11) = all_0_10_10
% 53.17/15.39  										| (48)  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 53.17/15.39  										| (49)  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0))
% 53.17/15.39  										| (3410) (all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0))
% 53.17/15.39  										|
% 53.17/15.39  										+-Applying beta-rule and splitting (1964), into two cases.
% 53.17/15.39  										|-Branch one:
% 53.17/15.39  										| (102)  ~ (all_0_0_0 = 0)
% 53.17/15.39  										|
% 53.17/15.39  											+-Applying beta-rule and splitting (3410), into two cases.
% 53.17/15.39  											|-Branch one:
% 53.17/15.39  											| (3412) all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.17/15.39  											|
% 53.17/15.39  												| Applying alpha-rule on (3412) yields:
% 53.17/15.39  												| (66) all_0_12_12 = 0
% 53.17/15.39  												| (69) p(all_0_13_13) = 0
% 53.17/15.39  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.17/15.39  												|
% 53.17/15.39  												| Instantiating formula (14) with all_0_13_13 and discharging atoms p(all_0_13_13) = 0, yields:
% 53.17/15.39  												| (63) all_0_0_0 = 0
% 53.17/15.39  												|
% 53.17/15.39  												| Equations (63) can reduce 102 to:
% 53.17/15.39  												| (59) $false
% 53.17/15.39  												|
% 53.17/15.39  												|-The branch is then unsatisfiable
% 53.17/15.39  											|-Branch two:
% 53.17/15.39  											| (3418)  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0)
% 53.17/15.39  											|
% 53.17/15.39  												| Applying alpha-rule on (3418) yields:
% 53.17/15.39  												| (135)  ~ (all_0_12_12 = 0)
% 53.17/15.39  												| (3420) q(all_0_13_13) = all_0_12_12
% 53.17/15.39  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 53.17/15.39  												|
% 53.17/15.39  												| Instantiating formula (2961) with all_0_12_12, all_0_13_13 and discharging atoms q(all_0_13_13) = all_0_12_12, yields:
% 53.17/15.39  												| (3422)  ~ (all_0_2_2 = 0) | all_0_12_12 = 0
% 53.17/15.39  												|
% 53.17/15.39  												+-Applying beta-rule and splitting (3422), into two cases.
% 53.17/15.39  												|-Branch one:
% 53.17/15.39  												| (210)  ~ (all_0_2_2 = 0)
% 53.17/15.39  												|
% 53.17/15.39  													| Equations (39) can reduce 210 to:
% 53.17/15.39  													| (59) $false
% 53.17/15.39  													|
% 53.17/15.39  													|-The branch is then unsatisfiable
% 53.17/15.39  												|-Branch two:
% 53.17/15.39  												| (39) all_0_2_2 = 0
% 53.17/15.39  												| (66) all_0_12_12 = 0
% 53.17/15.39  												|
% 53.17/15.39  													| Equations (66) can reduce 135 to:
% 53.17/15.39  													| (59) $false
% 53.17/15.39  													|
% 53.17/15.39  													|-The branch is then unsatisfiable
% 53.17/15.39  										|-Branch two:
% 53.17/15.39  										| (63) all_0_0_0 = 0
% 53.17/15.39  										| (42) all_0_16_16 = 0
% 53.17/15.39  										|
% 53.17/15.39  											| Equations (42) can reduce 71 to:
% 53.17/15.39  											| (59) $false
% 53.17/15.39  											|
% 53.17/15.39  											|-The branch is then unsatisfiable
% 53.17/15.39  									|-Branch two:
% 53.17/15.39  									| (3431)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 53.17/15.39  									|
% 53.17/15.39  										| Applying alpha-rule on (3431) yields:
% 53.17/15.39  										| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 53.17/15.39  										| (3433) (all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 53.17/15.39  										|
% 53.17/15.39  										| Instantiating formula (84) with 0, all_0_15_15 and discharging atoms s(all_0_15_15) = 0, yields:
% 53.17/15.39  										| (278)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & s(v0) = v1)
% 53.17/15.39  										|
% 53.17/15.39  										| Instantiating (278) with all_286_0_1764, all_286_1_1765 yields:
% 53.17/15.39  										| (3435)  ~ (all_286_0_1764 = 0) & s(all_286_1_1765) = all_286_0_1764
% 53.17/15.39  										|
% 53.17/15.39  										| Applying alpha-rule on (3435) yields:
% 53.17/15.39  										| (3436)  ~ (all_286_0_1764 = 0)
% 53.17/15.40  										| (3437) s(all_286_1_1765) = all_286_0_1764
% 53.17/15.40  										|
% 53.17/15.40  										| Instantiating formula (220) with all_286_0_1764, all_286_1_1765 and discharging atoms s(all_286_1_1765) = all_286_0_1764, yields:
% 53.17/15.40  										| (3438) all_286_0_1764 = 0
% 53.17/15.40  										|
% 53.17/15.40  										| Equations (3438) can reduce 3436 to:
% 53.17/15.40  										| (59) $false
% 53.17/15.40  										|
% 53.17/15.40  										|-The branch is then unsatisfiable
% 53.17/15.40  								|-Branch two:
% 53.17/15.40  								| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 53.17/15.40  								|
% 53.17/15.40  									| Applying alpha-rule on (60) yields:
% 53.17/15.40  									| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.17/15.40  									| (62)  ! [v0] :  ~ (s(v0) = 0)
% 53.17/15.40  									|
% 53.17/15.40  									| Instantiating formula (61) with all_0_0_0, all_0_1_1 and discharging atoms p(all_0_1_1) = all_0_0_0, yields:
% 53.17/15.40  									| (63) all_0_0_0 = 0
% 53.17/15.40  									|
% 53.17/15.40  									| From (63) and (12) follows:
% 53.17/15.40  									| (64) p(all_0_1_1) = 0
% 53.17/15.40  									|
% 53.17/15.40  									+-Applying beta-rule and splitting (3399), into two cases.
% 53.17/15.40  									|-Branch one:
% 53.17/15.40  									| (3406) s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0)))
% 53.17/15.40  									|
% 53.17/15.40  										| Applying alpha-rule on (3406) yields:
% 53.17/15.40  										| (47) s(all_0_11_11) = all_0_10_10
% 53.17/15.40  										| (48)  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 53.17/15.40  										| (49)  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0))
% 53.17/15.40  										| (3410) (all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0))
% 53.17/15.40  										|
% 53.17/15.40  										| Instantiating formula (220) with all_0_10_10, all_0_11_11 and discharging atoms s(all_0_11_11) = all_0_10_10, yields:
% 53.17/15.40  										| (58) all_0_10_10 = 0
% 53.17/15.40  										|
% 53.17/15.40  										| From (58) and (47) follows:
% 53.17/15.40  										| (138) s(all_0_11_11) = 0
% 53.17/15.40  										|
% 53.17/15.40  										| Instantiating formula (62) with all_0_11_11 and discharging atoms s(all_0_11_11) = 0, yields:
% 53.17/15.40  										| (79) $false
% 53.17/15.40  										|
% 53.17/15.40  										|-The branch is then unsatisfiable
% 53.17/15.40  									|-Branch two:
% 53.17/15.40  									| (3431)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 53.48/15.40  									|
% 53.48/15.40  										| Applying alpha-rule on (3431) yields:
% 53.48/15.40  										| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 53.48/15.40  										| (3433) (all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 53.48/15.40  										|
% 53.48/15.40  										+-Applying beta-rule and splitting (3433), into two cases.
% 53.48/15.40  										|-Branch one:
% 53.48/15.40  										| (3456) all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0
% 53.48/15.40  										|
% 53.48/15.40  											| Applying alpha-rule on (3456) yields:
% 53.48/15.40  											| (58) all_0_10_10 = 0
% 53.48/15.40  											| (135)  ~ (all_0_12_12 = 0)
% 53.48/15.40  											| (3420) q(all_0_13_13) = all_0_12_12
% 53.48/15.40  											| (521) p(all_0_11_11) = 0
% 53.48/15.40  											|
% 53.48/15.40  											| Instantiating formula (2961) with all_0_12_12, all_0_13_13 and discharging atoms q(all_0_13_13) = all_0_12_12, yields:
% 53.48/15.40  											| (3422)  ~ (all_0_2_2 = 0) | all_0_12_12 = 0
% 53.48/15.40  											|
% 53.48/15.40  											+-Applying beta-rule and splitting (3422), into two cases.
% 53.48/15.40  											|-Branch one:
% 53.48/15.40  											| (210)  ~ (all_0_2_2 = 0)
% 53.48/15.40  											|
% 53.48/15.40  												| Equations (39) can reduce 210 to:
% 53.48/15.40  												| (59) $false
% 53.48/15.40  												|
% 53.48/15.40  												|-The branch is then unsatisfiable
% 53.48/15.40  											|-Branch two:
% 53.48/15.40  											| (39) all_0_2_2 = 0
% 53.48/15.40  											| (66) all_0_12_12 = 0
% 53.48/15.40  											|
% 53.48/15.40  												| Equations (66) can reduce 135 to:
% 53.48/15.40  												| (59) $false
% 53.48/15.40  												|
% 53.48/15.40  												|-The branch is then unsatisfiable
% 53.48/15.40  										|-Branch two:
% 53.48/15.40  										| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 53.48/15.40  										|
% 53.48/15.40  											| Applying alpha-rule on (76) yields:
% 53.48/15.40  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.48/15.40  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 53.48/15.40  											|
% 53.48/15.40  											| Instantiating formula (78) with all_0_1_1 and discharging atoms p(all_0_1_1) = 0, yields:
% 53.48/15.40  											| (79) $false
% 53.48/15.40  											|
% 53.48/15.40  											|-The branch is then unsatisfiable
% 53.48/15.40  						|-Branch two:
% 53.48/15.40  						| (2985)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] :  ~ (q(v0) = 0)
% 53.48/15.40  						|
% 53.48/15.40  							| Applying alpha-rule on (2985) yields:
% 53.48/15.40  							| (41)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 53.48/15.40  							| (212)  ! [v0] :  ~ (q(v0) = 0)
% 53.48/15.40  							|
% 53.48/15.40  							| Instantiating formula (41) with all_45_0_1522, all_45_1_1523 and discharging atoms r(all_45_1_1523) = all_45_0_1522, yields:
% 53.48/15.40  							| (3474) all_45_0_1522 = 0
% 53.48/15.40  							|
% 53.48/15.40  							| Equations (3474) can reduce 3315 to:
% 53.48/15.40  							| (59) $false
% 53.48/15.40  							|
% 53.48/15.40  							|-The branch is then unsatisfiable
% 53.48/15.40  					|-Branch two:
% 53.48/15.40  					| (3124)  ~ (all_0_4_4 = 0) & s(all_0_5_5) = all_0_4_4 &  ! [v0] :  ~ (r(v0) = 0)
% 53.48/15.40  					|
% 53.48/15.40  						| Applying alpha-rule on (3124) yields:
% 53.48/15.40  						| (214)  ~ (all_0_4_4 = 0)
% 53.48/15.40  						| (3126) s(all_0_5_5) = all_0_4_4
% 53.48/15.40  						| (221)  ! [v0] :  ~ (r(v0) = 0)
% 53.48/15.40  						|
% 53.48/15.40  						+-Applying beta-rule and splitting (2954), into two cases.
% 53.48/15.40  						|-Branch one:
% 53.48/15.40  						| (2974) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & r(all_0_21_21) = all_0_20_20 & q(all_0_19_19) = 0
% 53.48/15.40  						|
% 53.48/15.40  							| Applying alpha-rule on (2974) yields:
% 53.48/15.40  							| (33) all_0_18_18 = 0
% 53.48/15.40  							| (34)  ~ (all_0_20_20 = 0)
% 53.48/15.40  							| (2977) r(all_0_21_21) = all_0_20_20
% 53.48/15.40  							| (2978) q(all_0_19_19) = 0
% 53.48/15.40  							|
% 53.48/15.40  							| Instantiating formula (370) with all_0_20_20, all_0_21_21 and discharging atoms r(all_0_21_21) = all_0_20_20, yields:
% 53.48/15.40  							| (3485)  ? [v0] :  ? [v1] : (( ~ (all_0_20_20 = 0) | ( ~ (v1 = 0) & r(v0) = v1)) & (all_0_20_20 = 0 | (v1 = 0 & r(v0) = 0)))
% 53.48/15.40  							|
% 53.48/15.40  							| Instantiating (3485) with all_56_0_1810, all_56_1_1811 yields:
% 53.48/15.40  							| (3486) ( ~ (all_0_20_20 = 0) | ( ~ (all_56_0_1810 = 0) & r(all_56_1_1811) = all_56_0_1810)) & (all_0_20_20 = 0 | (all_56_0_1810 = 0 & r(all_56_1_1811) = 0))
% 53.48/15.40  							|
% 53.48/15.40  							| Applying alpha-rule on (3486) yields:
% 53.48/15.40  							| (3487)  ~ (all_0_20_20 = 0) | ( ~ (all_56_0_1810 = 0) & r(all_56_1_1811) = all_56_0_1810)
% 53.48/15.40  							| (3488) all_0_20_20 = 0 | (all_56_0_1810 = 0 & r(all_56_1_1811) = 0)
% 53.48/15.40  							|
% 53.48/15.40  							+-Applying beta-rule and splitting (3488), into two cases.
% 53.48/15.40  							|-Branch one:
% 53.48/15.40  							| (81) all_0_20_20 = 0
% 53.48/15.40  							|
% 53.48/15.40  								| Equations (81) can reduce 34 to:
% 53.48/15.40  								| (59) $false
% 53.48/15.40  								|
% 53.48/15.40  								|-The branch is then unsatisfiable
% 53.48/15.40  							|-Branch two:
% 53.48/15.40  							| (34)  ~ (all_0_20_20 = 0)
% 53.48/15.40  							| (3492) all_56_0_1810 = 0 & r(all_56_1_1811) = 0
% 53.48/15.40  							|
% 53.48/15.40  								| Applying alpha-rule on (3492) yields:
% 53.48/15.40  								| (3493) all_56_0_1810 = 0
% 53.48/15.40  								| (3494) r(all_56_1_1811) = 0
% 53.48/15.40  								|
% 53.48/15.40  								| Instantiating formula (221) with all_56_1_1811 and discharging atoms r(all_56_1_1811) = 0, yields:
% 53.48/15.40  								| (79) $false
% 53.48/15.40  								|
% 53.48/15.40  								|-The branch is then unsatisfiable
% 53.48/15.40  						|-Branch two:
% 53.48/15.40  						| (2985)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] :  ~ (q(v0) = 0)
% 53.48/15.40  						|
% 53.48/15.40  							| Applying alpha-rule on (2985) yields:
% 53.48/15.40  							| (41)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 53.48/15.40  							| (212)  ! [v0] :  ~ (q(v0) = 0)
% 53.48/15.40  							|
% 53.48/15.40  							+-Applying beta-rule and splitting (3308), into two cases.
% 53.48/15.40  							|-Branch one:
% 53.48/15.40  							| (3323) ((all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))))
% 53.48/15.40  							|
% 53.48/15.40  								| Applying alpha-rule on (3323) yields:
% 53.48/15.40  								| (127) (all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))
% 53.48/15.40  								| (2990) (s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0))))
% 53.48/15.41  								|
% 53.48/15.41  								+-Applying beta-rule and splitting (2990), into two cases.
% 53.48/15.41  								|-Branch one:
% 53.48/15.41  								| (2991) s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 53.48/15.41  								|
% 53.48/15.41  									| Applying alpha-rule on (2991) yields:
% 53.48/15.41  									| (130) s(all_0_13_13) = all_0_12_12
% 53.48/15.41  									| (131)  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 53.48/15.41  									| (132)  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0))
% 53.48/15.41  									| (1625) (all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 53.48/15.41  									|
% 53.48/15.41  									| Instantiating formula (131) with all_0_4_4, all_0_5_5 and discharging atoms s(all_0_5_5) = all_0_4_4, yields:
% 53.48/15.41  									| (3142)  ~ (all_0_12_12 = 0) | all_0_4_4 = 0
% 53.48/15.41  									|
% 53.48/15.41  									+-Applying beta-rule and splitting (3142), into two cases.
% 53.48/15.41  									|-Branch one:
% 53.48/15.41  									| (135)  ~ (all_0_12_12 = 0)
% 53.48/15.41  									|
% 53.48/15.41  										+-Applying beta-rule and splitting (127), into two cases.
% 53.48/15.41  										|-Branch one:
% 53.48/15.41  										| (136) all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.48/15.41  										|
% 53.48/15.41  											| Applying alpha-rule on (136) yields:
% 53.48/15.41  											| (58) all_0_10_10 = 0
% 53.48/15.41  											| (138) s(all_0_11_11) = 0
% 53.48/15.41  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.48/15.41  											|
% 53.48/15.41  											| Instantiating formula (132) with all_0_11_11 and discharging atoms s(all_0_11_11) = 0, yields:
% 53.48/15.41  											| (66) all_0_12_12 = 0
% 53.48/15.41  											|
% 53.48/15.41  											| Equations (66) can reduce 135 to:
% 53.48/15.41  											| (59) $false
% 53.48/15.41  											|
% 53.48/15.41  											|-The branch is then unsatisfiable
% 53.48/15.41  										|-Branch two:
% 53.48/15.41  										| (142)  ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0)
% 53.48/15.41  										|
% 53.48/15.41  											| Applying alpha-rule on (142) yields:
% 53.48/15.41  											| (52)  ~ (all_0_10_10 = 0)
% 53.48/15.41  											| (144) p(all_0_11_11) = all_0_10_10
% 53.48/15.41  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 53.48/15.41  											|
% 53.48/15.41  											| Instantiating formula (13) with all_0_10_10, all_0_11_11 and discharging atoms p(all_0_11_11) = all_0_10_10, yields:
% 53.48/15.41  											| (146)  ~ (all_0_0_0 = 0) | all_0_10_10 = 0
% 53.48/15.41  											|
% 53.48/15.41  											+-Applying beta-rule and splitting (1625), into two cases.
% 53.48/15.41  											|-Branch one:
% 53.48/15.41  											| (1642) all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0
% 53.48/15.41  											|
% 53.48/15.41  												| Applying alpha-rule on (1642) yields:
% 53.48/15.41  												| (74) all_0_14_14 = 0
% 53.48/15.41  												| (71)  ~ (all_0_16_16 = 0)
% 53.48/15.41  												| (23) q(all_0_17_17) = all_0_16_16
% 53.48/15.41  												| (105) p(all_0_15_15) = 0
% 53.48/15.41  												|
% 53.48/15.41  												+-Applying beta-rule and splitting (146), into two cases.
% 53.48/15.41  												|-Branch one:
% 53.48/15.41  												| (102)  ~ (all_0_0_0 = 0)
% 53.48/15.41  												|
% 53.48/15.41  													| Instantiating formula (14) with all_0_15_15 and discharging atoms p(all_0_15_15) = 0, yields:
% 53.48/15.41  													| (63) all_0_0_0 = 0
% 53.48/15.41  													|
% 53.48/15.41  													| Equations (63) can reduce 102 to:
% 53.48/15.41  													| (59) $false
% 53.48/15.41  													|
% 53.48/15.41  													|-The branch is then unsatisfiable
% 53.48/15.41  												|-Branch two:
% 53.48/15.41  												| (63) all_0_0_0 = 0
% 53.48/15.41  												| (58) all_0_10_10 = 0
% 53.48/15.41  												|
% 53.48/15.41  													| Equations (58) can reduce 52 to:
% 53.48/15.41  													| (59) $false
% 53.48/15.41  													|
% 53.48/15.41  													|-The branch is then unsatisfiable
% 53.48/15.41  											|-Branch two:
% 53.48/15.41  											| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 53.48/15.41  											|
% 53.48/15.41  												| Applying alpha-rule on (76) yields:
% 53.48/15.41  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.48/15.41  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 53.48/15.41  												|
% 53.48/15.41  												| Instantiating formula (77) with all_0_2_2, all_0_3_3 and discharging atoms q(all_0_3_3) = all_0_2_2, yields:
% 53.48/15.41  												| (39) all_0_2_2 = 0
% 53.48/15.41  												|
% 53.48/15.41  												| From (39) and (2960) follows:
% 53.48/15.41  												| (40) q(all_0_3_3) = 0
% 53.48/15.41  												|
% 53.48/15.41  												| Instantiating formula (212) with all_0_3_3 and discharging atoms q(all_0_3_3) = 0, yields:
% 53.48/15.41  												| (79) $false
% 53.48/15.41  												|
% 53.48/15.41  												|-The branch is then unsatisfiable
% 53.48/15.41  									|-Branch two:
% 53.48/15.41  									| (66) all_0_12_12 = 0
% 53.48/15.41  									| (37) all_0_4_4 = 0
% 53.48/15.41  									|
% 53.48/15.41  										| Equations (37) can reduce 214 to:
% 53.48/15.41  										| (59) $false
% 53.48/15.41  										|
% 53.48/15.41  										|-The branch is then unsatisfiable
% 53.48/15.41  								|-Branch two:
% 53.48/15.41  								| (3025)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))
% 53.48/15.41  								|
% 53.48/15.41  									| Applying alpha-rule on (3025) yields:
% 53.48/15.41  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 53.48/15.41  									| (1590) (all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0))
% 53.48/15.41  									|
% 53.48/15.41  									| Instantiating formula (84) with all_0_4_4, all_0_5_5 and discharging atoms s(all_0_5_5) = all_0_4_4, yields:
% 53.48/15.41  									| (3177)  ? [v0] :  ? [v1] : (( ~ (all_0_4_4 = 0) | ( ~ (v1 = 0) & s(v0) = v1)) & (all_0_4_4 = 0 | (v1 = 0 & s(v0) = 0)))
% 53.48/15.41  									|
% 53.48/15.41  									| Instantiating (3177) with all_52_0_1812, all_52_1_1813 yields:
% 53.48/15.41  									| (3544) ( ~ (all_0_4_4 = 0) | ( ~ (all_52_0_1812 = 0) & s(all_52_1_1813) = all_52_0_1812)) & (all_0_4_4 = 0 | (all_52_0_1812 = 0 & s(all_52_1_1813) = 0))
% 53.48/15.41  									|
% 53.48/15.41  									| Applying alpha-rule on (3544) yields:
% 53.48/15.41  									| (3545)  ~ (all_0_4_4 = 0) | ( ~ (all_52_0_1812 = 0) & s(all_52_1_1813) = all_52_0_1812)
% 53.48/15.41  									| (3546) all_0_4_4 = 0 | (all_52_0_1812 = 0 & s(all_52_1_1813) = 0)
% 53.48/15.41  									|
% 53.48/15.41  									+-Applying beta-rule and splitting (3546), into two cases.
% 53.48/15.41  									|-Branch one:
% 53.48/15.41  									| (37) all_0_4_4 = 0
% 53.48/15.41  									|
% 53.48/15.41  										| Equations (37) can reduce 214 to:
% 53.48/15.41  										| (59) $false
% 53.48/15.41  										|
% 53.48/15.41  										|-The branch is then unsatisfiable
% 53.48/15.41  									|-Branch two:
% 53.48/15.41  									| (214)  ~ (all_0_4_4 = 0)
% 53.48/15.41  									| (3550) all_52_0_1812 = 0 & s(all_52_1_1813) = 0
% 53.48/15.41  									|
% 53.48/15.41  										| Applying alpha-rule on (3550) yields:
% 53.48/15.41  										| (3551) all_52_0_1812 = 0
% 53.48/15.41  										| (3552) s(all_52_1_1813) = 0
% 53.48/15.41  										|
% 53.48/15.41  										+-Applying beta-rule and splitting (127), into two cases.
% 53.48/15.41  										|-Branch one:
% 53.48/15.41  										| (136) all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.48/15.41  										|
% 53.48/15.41  											| Applying alpha-rule on (136) yields:
% 53.48/15.41  											| (58) all_0_10_10 = 0
% 53.48/15.41  											| (138) s(all_0_11_11) = 0
% 53.48/15.41  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.48/15.41  											|
% 53.48/15.41  											| Instantiating formula (61) with all_0_0_0, all_0_1_1 and discharging atoms p(all_0_1_1) = all_0_0_0, yields:
% 53.48/15.41  											| (63) all_0_0_0 = 0
% 53.48/15.41  											|
% 53.48/15.41  											| From (63) and (12) follows:
% 53.48/15.41  											| (64) p(all_0_1_1) = 0
% 53.48/15.41  											|
% 53.48/15.41  											+-Applying beta-rule and splitting (1590), into two cases.
% 53.48/15.41  											|-Branch one:
% 53.48/15.41  											| (1599) all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.48/15.41  											|
% 53.48/15.41  												| Applying alpha-rule on (1599) yields:
% 53.48/15.41  												| (42) all_0_16_16 = 0
% 53.48/15.41  												| (1601) p(all_0_17_17) = 0
% 53.48/15.41  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.48/15.41  												|
% 53.48/15.41  												| Instantiating formula (77) with all_0_2_2, all_0_3_3 and discharging atoms q(all_0_3_3) = all_0_2_2, yields:
% 53.48/15.41  												| (39) all_0_2_2 = 0
% 53.48/15.41  												|
% 53.48/15.41  												| From (39) and (2960) follows:
% 53.48/15.41  												| (40) q(all_0_3_3) = 0
% 53.48/15.41  												|
% 53.48/15.41  												| Instantiating formula (212) with all_0_3_3 and discharging atoms q(all_0_3_3) = 0, yields:
% 53.48/15.41  												| (79) $false
% 53.48/15.41  												|
% 53.48/15.41  												|-The branch is then unsatisfiable
% 53.48/15.41  											|-Branch two:
% 53.48/15.41  											| (1609)  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)
% 53.48/15.41  											|
% 53.48/15.41  												| Applying alpha-rule on (1609) yields:
% 53.48/15.41  												| (71)  ~ (all_0_16_16 = 0)
% 53.48/15.41  												| (23) q(all_0_17_17) = all_0_16_16
% 53.48/15.41  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 53.48/15.41  												|
% 53.48/15.41  												| Instantiating formula (78) with all_0_1_1 and discharging atoms p(all_0_1_1) = 0, yields:
% 53.48/15.41  												| (79) $false
% 53.48/15.41  												|
% 53.48/15.41  												|-The branch is then unsatisfiable
% 53.48/15.41  										|-Branch two:
% 53.48/15.41  										| (142)  ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0)
% 53.48/15.41  										|
% 53.48/15.41  											| Applying alpha-rule on (142) yields:
% 53.48/15.41  											| (52)  ~ (all_0_10_10 = 0)
% 53.48/15.41  											| (144) p(all_0_11_11) = all_0_10_10
% 53.48/15.41  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 53.48/15.41  											|
% 53.48/15.41  											| Instantiating formula (62) with all_52_1_1813 and discharging atoms s(all_52_1_1813) = 0, yields:
% 53.48/15.41  											| (79) $false
% 53.48/15.41  											|
% 53.48/15.41  											|-The branch is then unsatisfiable
% 53.48/15.41  							|-Branch two:
% 53.48/15.41  							| (3397) ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & s(all_0_15_15) = 0 & p(all_0_17_17) = all_0_16_16) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))
% 53.48/15.41  							|
% 53.48/15.41  								| Applying alpha-rule on (3397) yields:
% 53.48/15.41  								| (3398) (all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & s(all_0_15_15) = 0 & p(all_0_17_17) = all_0_16_16) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))
% 53.48/15.42  								| (3399) (s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))
% 53.48/15.42  								|
% 53.48/15.42  								+-Applying beta-rule and splitting (3399), into two cases.
% 53.48/15.42  								|-Branch one:
% 53.48/15.42  								| (3406) s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0)))
% 53.48/15.42  								|
% 53.48/15.42  									| Applying alpha-rule on (3406) yields:
% 53.48/15.42  									| (47) s(all_0_11_11) = all_0_10_10
% 53.48/15.42  									| (48)  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 53.48/15.42  									| (49)  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0))
% 53.48/15.42  									| (3410) (all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0))
% 53.48/15.42  									|
% 53.48/15.42  									| Instantiating formula (48) with all_0_4_4, all_0_5_5 and discharging atoms s(all_0_5_5) = all_0_4_4, yields:
% 53.48/15.42  									| (3584)  ~ (all_0_10_10 = 0) | all_0_4_4 = 0
% 53.48/15.42  									|
% 53.48/15.42  									+-Applying beta-rule and splitting (3584), into two cases.
% 53.48/15.42  									|-Branch one:
% 53.48/15.42  									| (52)  ~ (all_0_10_10 = 0)
% 53.48/15.42  									|
% 53.48/15.42  										+-Applying beta-rule and splitting (3398), into two cases.
% 53.48/15.42  										|-Branch one:
% 53.48/15.42  										| (3400) all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & s(all_0_15_15) = 0 & p(all_0_17_17) = all_0_16_16
% 53.48/15.42  										|
% 53.48/15.42  											| Applying alpha-rule on (3400) yields:
% 53.48/15.42  											| (74) all_0_14_14 = 0
% 53.48/15.42  											| (71)  ~ (all_0_16_16 = 0)
% 53.48/15.42  											| (1521) s(all_0_15_15) = 0
% 53.48/15.42  											| (1962) p(all_0_17_17) = all_0_16_16
% 53.48/15.42  											|
% 53.48/15.42  											| Instantiating formula (49) with all_0_15_15 and discharging atoms s(all_0_15_15) = 0, yields:
% 53.48/15.42  											| (58) all_0_10_10 = 0
% 53.48/15.42  											|
% 53.48/15.42  											| Equations (58) can reduce 52 to:
% 53.48/15.42  											| (59) $false
% 53.48/15.42  											|
% 53.48/15.42  											|-The branch is then unsatisfiable
% 53.48/15.42  										|-Branch two:
% 53.48/15.42  										| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 53.48/15.42  										|
% 53.48/15.42  											| Applying alpha-rule on (60) yields:
% 53.48/15.42  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.48/15.42  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 53.48/15.42  											|
% 53.48/15.42  											| Instantiating formula (61) with all_0_0_0, all_0_1_1 and discharging atoms p(all_0_1_1) = all_0_0_0, yields:
% 53.48/15.42  											| (63) all_0_0_0 = 0
% 53.48/15.42  											|
% 53.48/15.42  											| From (63) and (12) follows:
% 53.48/15.42  											| (64) p(all_0_1_1) = 0
% 53.48/15.42  											|
% 53.48/15.42  											+-Applying beta-rule and splitting (3410), into two cases.
% 53.48/15.42  											|-Branch one:
% 53.48/15.42  											| (3412) all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.48/15.42  											|
% 53.48/15.42  												| Applying alpha-rule on (3412) yields:
% 53.48/15.42  												| (66) all_0_12_12 = 0
% 53.48/15.42  												| (69) p(all_0_13_13) = 0
% 53.48/15.42  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.48/15.42  												|
% 53.48/15.42  												| Instantiating formula (77) with all_0_2_2, all_0_3_3 and discharging atoms q(all_0_3_3) = all_0_2_2, yields:
% 53.48/15.42  												| (39) all_0_2_2 = 0
% 53.48/15.42  												|
% 53.48/15.42  												| From (39) and (2960) follows:
% 53.48/15.42  												| (40) q(all_0_3_3) = 0
% 53.48/15.42  												|
% 53.48/15.42  												| Instantiating formula (212) with all_0_3_3 and discharging atoms q(all_0_3_3) = 0, yields:
% 53.48/15.42  												| (79) $false
% 53.48/15.42  												|
% 53.48/15.42  												|-The branch is then unsatisfiable
% 53.48/15.42  											|-Branch two:
% 53.48/15.42  											| (3418)  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0)
% 53.48/15.42  											|
% 53.48/15.42  												| Applying alpha-rule on (3418) yields:
% 53.48/15.42  												| (135)  ~ (all_0_12_12 = 0)
% 53.48/15.42  												| (3420) q(all_0_13_13) = all_0_12_12
% 53.48/15.42  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 53.48/15.42  												|
% 53.48/15.42  												| Instantiating formula (78) with all_0_1_1 and discharging atoms p(all_0_1_1) = 0, yields:
% 53.48/15.42  												| (79) $false
% 53.48/15.42  												|
% 53.48/15.42  												|-The branch is then unsatisfiable
% 53.48/15.42  									|-Branch two:
% 53.48/15.42  									| (58) all_0_10_10 = 0
% 53.48/15.42  									| (37) all_0_4_4 = 0
% 53.48/15.42  									|
% 53.48/15.42  										| Equations (37) can reduce 214 to:
% 53.48/15.42  										| (59) $false
% 53.48/15.42  										|
% 53.48/15.42  										|-The branch is then unsatisfiable
% 53.48/15.42  								|-Branch two:
% 53.48/15.42  								| (3431)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 53.48/15.42  								|
% 53.48/15.42  									| Applying alpha-rule on (3431) yields:
% 53.48/15.42  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 53.48/15.42  									| (3433) (all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 53.48/15.42  									|
% 53.48/15.42  									| Instantiating formula (84) with all_0_4_4, all_0_5_5 and discharging atoms s(all_0_5_5) = all_0_4_4, yields:
% 53.48/15.42  									| (3177)  ? [v0] :  ? [v1] : (( ~ (all_0_4_4 = 0) | ( ~ (v1 = 0) & s(v0) = v1)) & (all_0_4_4 = 0 | (v1 = 0 & s(v0) = 0)))
% 53.48/15.42  									|
% 53.48/15.42  									| Instantiating (3177) with all_52_0_1822, all_52_1_1823 yields:
% 53.48/15.42  									| (3617) ( ~ (all_0_4_4 = 0) | ( ~ (all_52_0_1822 = 0) & s(all_52_1_1823) = all_52_0_1822)) & (all_0_4_4 = 0 | (all_52_0_1822 = 0 & s(all_52_1_1823) = 0))
% 53.48/15.42  									|
% 53.48/15.42  									| Applying alpha-rule on (3617) yields:
% 53.48/15.42  									| (3618)  ~ (all_0_4_4 = 0) | ( ~ (all_52_0_1822 = 0) & s(all_52_1_1823) = all_52_0_1822)
% 53.48/15.42  									| (3619) all_0_4_4 = 0 | (all_52_0_1822 = 0 & s(all_52_1_1823) = 0)
% 53.48/15.42  									|
% 53.48/15.42  									+-Applying beta-rule and splitting (3619), into two cases.
% 53.48/15.42  									|-Branch one:
% 53.48/15.42  									| (37) all_0_4_4 = 0
% 53.48/15.42  									|
% 53.48/15.42  										| Equations (37) can reduce 214 to:
% 53.48/15.42  										| (59) $false
% 53.48/15.42  										|
% 53.48/15.42  										|-The branch is then unsatisfiable
% 53.48/15.42  									|-Branch two:
% 53.48/15.42  									| (214)  ~ (all_0_4_4 = 0)
% 53.48/15.42  									| (3623) all_52_0_1822 = 0 & s(all_52_1_1823) = 0
% 53.48/15.42  									|
% 53.48/15.42  										| Applying alpha-rule on (3623) yields:
% 53.48/15.42  										| (3624) all_52_0_1822 = 0
% 53.48/15.42  										| (3625) s(all_52_1_1823) = 0
% 53.48/15.42  										|
% 53.48/15.42  										+-Applying beta-rule and splitting (3398), into two cases.
% 53.48/15.42  										|-Branch one:
% 53.48/15.42  										| (3400) all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & s(all_0_15_15) = 0 & p(all_0_17_17) = all_0_16_16
% 53.48/15.42  										|
% 53.48/15.42  											| Applying alpha-rule on (3400) yields:
% 53.48/15.42  											| (74) all_0_14_14 = 0
% 53.48/15.42  											| (71)  ~ (all_0_16_16 = 0)
% 53.48/15.42  											| (1521) s(all_0_15_15) = 0
% 53.48/15.42  											| (1962) p(all_0_17_17) = all_0_16_16
% 53.48/15.42  											|
% 53.48/15.42  											| Instantiating formula (13) with all_0_16_16, all_0_17_17 and discharging atoms p(all_0_17_17) = all_0_16_16, yields:
% 53.48/15.42  											| (1964)  ~ (all_0_0_0 = 0) | all_0_16_16 = 0
% 53.48/15.42  											|
% 53.48/15.42  											+-Applying beta-rule and splitting (1964), into two cases.
% 53.48/15.42  											|-Branch one:
% 53.48/15.42  											| (102)  ~ (all_0_0_0 = 0)
% 53.48/15.42  											|
% 53.48/15.42  												+-Applying beta-rule and splitting (3433), into two cases.
% 53.48/15.42  												|-Branch one:
% 53.48/15.42  												| (3456) all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0
% 53.48/15.42  												|
% 53.48/15.42  													| Applying alpha-rule on (3456) yields:
% 53.48/15.42  													| (58) all_0_10_10 = 0
% 53.48/15.42  													| (135)  ~ (all_0_12_12 = 0)
% 53.48/15.42  													| (3420) q(all_0_13_13) = all_0_12_12
% 53.48/15.42  													| (521) p(all_0_11_11) = 0
% 53.48/15.42  													|
% 53.48/15.42  													| Instantiating formula (14) with all_0_11_11 and discharging atoms p(all_0_11_11) = 0, yields:
% 53.48/15.42  													| (63) all_0_0_0 = 0
% 53.48/15.42  													|
% 53.48/15.42  													| Equations (63) can reduce 102 to:
% 53.48/15.42  													| (59) $false
% 53.48/15.42  													|
% 53.48/15.42  													|-The branch is then unsatisfiable
% 53.48/15.42  												|-Branch two:
% 53.48/15.42  												| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 53.48/15.42  												|
% 53.48/15.42  													| Applying alpha-rule on (76) yields:
% 53.48/15.42  													| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.48/15.42  													| (78)  ! [v0] :  ~ (p(v0) = 0)
% 53.48/15.42  													|
% 53.48/15.42  													| Instantiating formula (77) with all_0_2_2, all_0_3_3 and discharging atoms q(all_0_3_3) = all_0_2_2, yields:
% 53.48/15.42  													| (39) all_0_2_2 = 0
% 53.48/15.42  													|
% 53.48/15.42  													| From (39) and (2960) follows:
% 53.48/15.42  													| (40) q(all_0_3_3) = 0
% 53.48/15.42  													|
% 53.48/15.42  													| Instantiating formula (212) with all_0_3_3 and discharging atoms q(all_0_3_3) = 0, yields:
% 53.48/15.42  													| (79) $false
% 53.48/15.42  													|
% 53.48/15.42  													|-The branch is then unsatisfiable
% 53.48/15.42  											|-Branch two:
% 53.48/15.42  											| (63) all_0_0_0 = 0
% 53.48/15.42  											| (42) all_0_16_16 = 0
% 53.48/15.42  											|
% 53.48/15.42  												| Equations (42) can reduce 71 to:
% 53.48/15.42  												| (59) $false
% 53.48/15.42  												|
% 53.48/15.42  												|-The branch is then unsatisfiable
% 53.48/15.42  										|-Branch two:
% 53.48/15.42  										| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 53.48/15.42  										|
% 53.48/15.42  											| Applying alpha-rule on (60) yields:
% 53.48/15.42  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.48/15.42  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 53.48/15.42  											|
% 53.48/15.42  											| Instantiating formula (62) with all_52_1_1823 and discharging atoms s(all_52_1_1823) = 0, yields:
% 53.48/15.42  											| (79) $false
% 53.48/15.42  											|
% 53.48/15.42  											|-The branch is then unsatisfiable
% 53.48/15.43  			|-Branch two:
% 53.48/15.43  			| (3653)  ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_2_2 = 0 &  ~ (all_0_4_4 = 0) & s(all_0_5_5) = all_0_4_4 & r(all_0_3_3) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))
% 53.48/15.43  			|
% 53.48/15.43  				| Applying alpha-rule on (3653) yields:
% 53.48/15.43  				| (717)  ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0))))
% 53.48/15.43  				| (3655) (all_0_2_2 = 0 &  ~ (all_0_4_4 = 0) & s(all_0_5_5) = all_0_4_4 & r(all_0_3_3) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0))
% 53.48/15.43  				|
% 53.48/15.43  				+-Applying beta-rule and splitting (2957), into two cases.
% 53.48/15.43  				|-Branch one:
% 53.48/15.43  				| (2964) r(all_0_7_7) = all_0_6_6 &  ! [v0] :  ! [v1] : ( ~ (all_0_6_6 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_6_6 = 0 |  ~ (r(v0) = 0)) & ((((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_9_9) = 0 & p(all_0_11_11) = all_0_10_10) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_12_12 = 0 & s(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_12_12 = 0) & p(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))
% 53.48/15.43  				|
% 53.48/15.43  					| Applying alpha-rule on (2964) yields:
% 53.48/15.43  					| (2965) r(all_0_7_7) = all_0_6_6
% 53.48/15.43  					| (2966)  ! [v0] :  ! [v1] : ( ~ (all_0_6_6 = 0) | v1 = 0 |  ~ (r(v0) = v1))
% 53.48/15.43  					| (2967)  ! [v0] : (all_0_6_6 = 0 |  ~ (r(v0) = 0))
% 53.48/15.43  					| (2968) (((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_9_9) = 0 & p(all_0_11_11) = all_0_10_10) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_12_12 = 0 & s(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_12_12 = 0) & p(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))
% 53.48/15.43  					|
% 53.48/15.43  					+-Applying beta-rule and splitting (3655), into two cases.
% 53.48/15.43  					|-Branch one:
% 53.48/15.43  					| (3661) all_0_2_2 = 0 &  ~ (all_0_4_4 = 0) & s(all_0_5_5) = all_0_4_4 & r(all_0_3_3) = 0
% 53.48/15.43  					|
% 53.48/15.43  						| Applying alpha-rule on (3661) yields:
% 53.48/15.43  						| (39) all_0_2_2 = 0
% 53.48/15.43  						| (214)  ~ (all_0_4_4 = 0)
% 53.48/15.43  						| (3126) s(all_0_5_5) = all_0_4_4
% 53.48/15.43  						| (3665) r(all_0_3_3) = 0
% 53.48/15.43  						|
% 53.48/15.43  						| Instantiating formula (2967) with all_0_3_3 and discharging atoms r(all_0_3_3) = 0, yields:
% 53.48/15.43  						| (54) all_0_6_6 = 0
% 53.48/15.43  						|
% 53.48/15.43  						+-Applying beta-rule and splitting (2954), into two cases.
% 53.48/15.43  						|-Branch one:
% 53.48/15.43  						| (2974) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & r(all_0_21_21) = all_0_20_20 & q(all_0_19_19) = 0
% 53.48/15.43  						|
% 53.48/15.43  							| Applying alpha-rule on (2974) yields:
% 53.48/15.43  							| (33) all_0_18_18 = 0
% 53.48/15.43  							| (34)  ~ (all_0_20_20 = 0)
% 53.48/15.43  							| (2977) r(all_0_21_21) = all_0_20_20
% 53.48/15.43  							| (2978) q(all_0_19_19) = 0
% 53.48/15.43  							|
% 53.48/15.43  							| Instantiating formula (2966) with all_0_20_20, all_0_21_21 and discharging atoms r(all_0_21_21) = all_0_20_20, yields:
% 53.48/15.43  							| (2979)  ~ (all_0_6_6 = 0) | all_0_20_20 = 0
% 53.48/15.43  							|
% 53.48/15.43  							+-Applying beta-rule and splitting (2979), into two cases.
% 53.48/15.43  							|-Branch one:
% 53.48/15.43  							| (2980)  ~ (all_0_6_6 = 0)
% 53.48/15.43  							|
% 53.48/15.43  								| Equations (54) can reduce 2980 to:
% 53.48/15.43  								| (59) $false
% 53.48/15.43  								|
% 53.48/15.43  								|-The branch is then unsatisfiable
% 53.48/15.43  							|-Branch two:
% 53.48/15.43  							| (54) all_0_6_6 = 0
% 53.48/15.43  							| (81) all_0_20_20 = 0
% 53.48/15.43  							|
% 53.48/15.43  								| Equations (81) can reduce 34 to:
% 53.48/15.43  								| (59) $false
% 53.48/15.43  								|
% 53.48/15.43  								|-The branch is then unsatisfiable
% 53.48/15.43  						|-Branch two:
% 53.48/15.43  						| (2985)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] :  ~ (q(v0) = 0)
% 53.48/15.43  						|
% 53.48/15.43  							| Applying alpha-rule on (2985) yields:
% 53.48/15.43  							| (41)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 53.48/15.43  							| (212)  ! [v0] :  ~ (q(v0) = 0)
% 53.48/15.43  							|
% 53.48/15.43  							+-Applying beta-rule and splitting (2968), into two cases.
% 53.48/15.43  							|-Branch one:
% 53.48/15.43  							| (2988) ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_9_9) = 0 & p(all_0_11_11) = all_0_10_10) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))))
% 53.48/15.43  							|
% 53.48/15.43  								| Applying alpha-rule on (2988) yields:
% 53.48/15.43  								| (2989) (all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_9_9) = 0 & p(all_0_11_11) = all_0_10_10) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))
% 53.48/15.43  								| (2990) (s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0))))
% 53.48/15.43  								|
% 53.48/15.43  								+-Applying beta-rule and splitting (2990), into two cases.
% 53.48/15.43  								|-Branch one:
% 53.48/15.43  								| (2991) s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 53.48/15.43  								|
% 53.48/15.43  									| Applying alpha-rule on (2991) yields:
% 53.48/15.43  									| (130) s(all_0_13_13) = all_0_12_12
% 53.48/15.43  									| (131)  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 53.48/15.43  									| (132)  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0))
% 53.48/15.44  									| (1625) (all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 53.48/15.44  									|
% 53.48/15.44  									| Instantiating formula (131) with all_0_4_4, all_0_5_5 and discharging atoms s(all_0_5_5) = all_0_4_4, yields:
% 53.48/15.44  									| (3142)  ~ (all_0_12_12 = 0) | all_0_4_4 = 0
% 53.48/15.44  									|
% 53.48/15.44  									+-Applying beta-rule and splitting (3142), into two cases.
% 53.48/15.44  									|-Branch one:
% 53.48/15.44  									| (135)  ~ (all_0_12_12 = 0)
% 53.48/15.44  									|
% 53.48/15.44  										+-Applying beta-rule and splitting (2989), into two cases.
% 53.48/15.44  										|-Branch one:
% 53.48/15.44  										| (2998) all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_9_9) = 0 & p(all_0_11_11) = all_0_10_10
% 53.48/15.44  										|
% 53.48/15.44  											| Applying alpha-rule on (2998) yields:
% 53.48/15.44  											| (120) all_0_8_8 = 0
% 53.48/15.44  											| (52)  ~ (all_0_10_10 = 0)
% 53.48/15.44  											| (396) s(all_0_9_9) = 0
% 53.48/15.44  											| (144) p(all_0_11_11) = all_0_10_10
% 53.48/15.44  											|
% 53.48/15.44  											| Instantiating formula (132) with all_0_9_9 and discharging atoms s(all_0_9_9) = 0, yields:
% 53.48/15.44  											| (66) all_0_12_12 = 0
% 53.48/15.44  											|
% 53.48/15.44  											| Equations (66) can reduce 135 to:
% 53.48/15.44  											| (59) $false
% 53.48/15.44  											|
% 53.48/15.44  											|-The branch is then unsatisfiable
% 53.48/15.44  										|-Branch two:
% 53.48/15.44  										| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 53.48/15.44  										|
% 53.48/15.44  											| Applying alpha-rule on (60) yields:
% 53.48/15.44  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.48/15.44  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 53.48/15.44  											|
% 53.48/15.44  											| Instantiating formula (61) with all_0_0_0, all_0_1_1 and discharging atoms p(all_0_1_1) = all_0_0_0, yields:
% 53.48/15.44  											| (63) all_0_0_0 = 0
% 53.48/15.44  											|
% 53.48/15.44  											| From (63) and (12) follows:
% 53.48/15.44  											| (64) p(all_0_1_1) = 0
% 53.48/15.44  											|
% 53.48/15.44  											+-Applying beta-rule and splitting (1625), into two cases.
% 53.48/15.44  											|-Branch one:
% 53.48/15.44  											| (1642) all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0
% 53.48/15.44  											|
% 53.48/15.44  												| Applying alpha-rule on (1642) yields:
% 53.48/15.44  												| (74) all_0_14_14 = 0
% 53.48/15.44  												| (71)  ~ (all_0_16_16 = 0)
% 53.48/15.44  												| (23) q(all_0_17_17) = all_0_16_16
% 53.48/15.44  												| (105) p(all_0_15_15) = 0
% 53.48/15.44  												|
% 53.48/15.44  												| Instantiating formula (717) with all_0_16_16, all_0_17_17 and discharging atoms q(all_0_17_17) = all_0_16_16, yields:
% 53.48/15.44  												| (2513)  ? [v0] :  ? [v1] : (( ~ (all_0_16_16 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_0_16_16 = 0 | (v1 = 0 & q(v0) = 0)))
% 53.48/15.44  												|
% 53.48/15.44  												| Instantiating (2513) with all_80_0_1834, all_80_1_1835 yields:
% 53.48/15.44  												| (3709) ( ~ (all_0_16_16 = 0) | ( ~ (all_80_0_1834 = 0) & q(all_80_1_1835) = all_80_0_1834)) & (all_0_16_16 = 0 | (all_80_0_1834 = 0 & q(all_80_1_1835) = 0))
% 53.48/15.44  												|
% 53.48/15.44  												| Applying alpha-rule on (3709) yields:
% 53.48/15.44  												| (3710)  ~ (all_0_16_16 = 0) | ( ~ (all_80_0_1834 = 0) & q(all_80_1_1835) = all_80_0_1834)
% 53.48/15.44  												| (3711) all_0_16_16 = 0 | (all_80_0_1834 = 0 & q(all_80_1_1835) = 0)
% 53.48/15.44  												|
% 53.48/15.44  												+-Applying beta-rule and splitting (3711), into two cases.
% 53.48/15.44  												|-Branch one:
% 53.48/15.44  												| (42) all_0_16_16 = 0
% 53.48/15.44  												|
% 53.48/15.44  													| Equations (42) can reduce 71 to:
% 53.48/15.44  													| (59) $false
% 53.48/15.44  													|
% 53.48/15.44  													|-The branch is then unsatisfiable
% 53.48/15.44  												|-Branch two:
% 53.48/15.44  												| (71)  ~ (all_0_16_16 = 0)
% 53.48/15.44  												| (3715) all_80_0_1834 = 0 & q(all_80_1_1835) = 0
% 53.48/15.44  												|
% 53.48/15.44  													| Applying alpha-rule on (3715) yields:
% 53.48/15.44  													| (3716) all_80_0_1834 = 0
% 53.48/15.44  													| (3717) q(all_80_1_1835) = 0
% 53.48/15.44  													|
% 53.48/15.44  													| Instantiating formula (212) with all_80_1_1835 and discharging atoms q(all_80_1_1835) = 0, yields:
% 53.48/15.44  													| (79) $false
% 53.48/15.44  													|
% 53.48/15.44  													|-The branch is then unsatisfiable
% 53.48/15.44  											|-Branch two:
% 53.48/15.44  											| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 53.48/15.44  											|
% 53.48/15.44  												| Applying alpha-rule on (76) yields:
% 53.48/15.44  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.48/15.44  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 53.48/15.44  												|
% 53.48/15.44  												| Instantiating formula (78) with all_0_1_1 and discharging atoms p(all_0_1_1) = 0, yields:
% 53.48/15.44  												| (79) $false
% 53.48/15.44  												|
% 53.48/15.44  												|-The branch is then unsatisfiable
% 53.48/15.44  									|-Branch two:
% 53.48/15.44  									| (66) all_0_12_12 = 0
% 53.48/15.44  									| (37) all_0_4_4 = 0
% 53.48/15.44  									|
% 53.48/15.44  										| Equations (37) can reduce 214 to:
% 53.48/15.44  										| (59) $false
% 53.48/15.44  										|
% 53.48/15.44  										|-The branch is then unsatisfiable
% 53.48/15.44  								|-Branch two:
% 53.48/15.44  								| (3025)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))
% 53.48/15.44  								|
% 53.48/15.44  									| Applying alpha-rule on (3025) yields:
% 53.48/15.44  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 53.48/15.44  									| (1590) (all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0))
% 53.48/15.44  									|
% 53.48/15.44  									| Instantiating formula (84) with all_0_4_4, all_0_5_5 and discharging atoms s(all_0_5_5) = all_0_4_4, yields:
% 53.48/15.44  									| (3177)  ? [v0] :  ? [v1] : (( ~ (all_0_4_4 = 0) | ( ~ (v1 = 0) & s(v0) = v1)) & (all_0_4_4 = 0 | (v1 = 0 & s(v0) = 0)))
% 53.48/15.44  									|
% 53.48/15.44  									| Instantiating (3177) with all_55_0_1836, all_55_1_1837 yields:
% 53.48/15.44  									| (3730) ( ~ (all_0_4_4 = 0) | ( ~ (all_55_0_1836 = 0) & s(all_55_1_1837) = all_55_0_1836)) & (all_0_4_4 = 0 | (all_55_0_1836 = 0 & s(all_55_1_1837) = 0))
% 53.48/15.44  									|
% 53.48/15.44  									| Applying alpha-rule on (3730) yields:
% 53.48/15.44  									| (3731)  ~ (all_0_4_4 = 0) | ( ~ (all_55_0_1836 = 0) & s(all_55_1_1837) = all_55_0_1836)
% 53.48/15.44  									| (3732) all_0_4_4 = 0 | (all_55_0_1836 = 0 & s(all_55_1_1837) = 0)
% 53.48/15.44  									|
% 53.48/15.44  									+-Applying beta-rule and splitting (3732), into two cases.
% 53.48/15.44  									|-Branch one:
% 53.48/15.44  									| (37) all_0_4_4 = 0
% 53.48/15.44  									|
% 53.48/15.44  										| Equations (37) can reduce 214 to:
% 53.48/15.44  										| (59) $false
% 53.48/15.44  										|
% 53.48/15.44  										|-The branch is then unsatisfiable
% 53.48/15.44  									|-Branch two:
% 53.48/15.44  									| (214)  ~ (all_0_4_4 = 0)
% 53.48/15.44  									| (3736) all_55_0_1836 = 0 & s(all_55_1_1837) = 0
% 53.48/15.44  									|
% 53.48/15.44  										| Applying alpha-rule on (3736) yields:
% 53.48/15.44  										| (3737) all_55_0_1836 = 0
% 53.48/15.44  										| (3738) s(all_55_1_1837) = 0
% 53.48/15.44  										|
% 53.48/15.44  										+-Applying beta-rule and splitting (2989), into two cases.
% 53.48/15.44  										|-Branch one:
% 53.48/15.44  										| (2998) all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_9_9) = 0 & p(all_0_11_11) = all_0_10_10
% 53.48/15.44  										|
% 53.48/15.44  											| Applying alpha-rule on (2998) yields:
% 53.48/15.44  											| (120) all_0_8_8 = 0
% 53.48/15.44  											| (52)  ~ (all_0_10_10 = 0)
% 53.48/15.44  											| (396) s(all_0_9_9) = 0
% 53.48/15.44  											| (144) p(all_0_11_11) = all_0_10_10
% 53.48/15.44  											|
% 53.48/15.44  											| Instantiating formula (13) with all_0_10_10, all_0_11_11 and discharging atoms p(all_0_11_11) = all_0_10_10, yields:
% 53.48/15.44  											| (146)  ~ (all_0_0_0 = 0) | all_0_10_10 = 0
% 53.48/15.44  											|
% 53.48/15.44  											+-Applying beta-rule and splitting (146), into two cases.
% 53.48/15.44  											|-Branch one:
% 53.48/15.44  											| (102)  ~ (all_0_0_0 = 0)
% 53.48/15.44  											|
% 53.48/15.44  												+-Applying beta-rule and splitting (1590), into two cases.
% 53.48/15.44  												|-Branch one:
% 53.48/15.44  												| (1599) all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.48/15.44  												|
% 53.48/15.44  													| Applying alpha-rule on (1599) yields:
% 53.48/15.44  													| (42) all_0_16_16 = 0
% 53.48/15.44  													| (1601) p(all_0_17_17) = 0
% 53.48/15.44  													| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.48/15.44  													|
% 53.48/15.44  													| Instantiating formula (14) with all_0_17_17 and discharging atoms p(all_0_17_17) = 0, yields:
% 53.48/15.44  													| (63) all_0_0_0 = 0
% 53.48/15.44  													|
% 53.48/15.44  													| Equations (63) can reduce 102 to:
% 53.48/15.44  													| (59) $false
% 53.48/15.44  													|
% 53.48/15.44  													|-The branch is then unsatisfiable
% 53.48/15.44  												|-Branch two:
% 53.48/15.44  												| (1609)  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)
% 53.48/15.44  												|
% 53.48/15.44  													| Applying alpha-rule on (1609) yields:
% 53.48/15.44  													| (71)  ~ (all_0_16_16 = 0)
% 53.48/15.44  													| (23) q(all_0_17_17) = all_0_16_16
% 53.48/15.44  													| (78)  ! [v0] :  ~ (p(v0) = 0)
% 53.48/15.44  													|
% 53.48/15.44  													| Instantiating formula (717) with all_0_16_16, all_0_17_17 and discharging atoms q(all_0_17_17) = all_0_16_16, yields:
% 53.48/15.44  													| (2513)  ? [v0] :  ? [v1] : (( ~ (all_0_16_16 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_0_16_16 = 0 | (v1 = 0 & q(v0) = 0)))
% 53.48/15.44  													|
% 53.48/15.44  													| Instantiating (2513) with all_107_0_1846, all_107_1_1847 yields:
% 53.48/15.44  													| (3757) ( ~ (all_0_16_16 = 0) | ( ~ (all_107_0_1846 = 0) & q(all_107_1_1847) = all_107_0_1846)) & (all_0_16_16 = 0 | (all_107_0_1846 = 0 & q(all_107_1_1847) = 0))
% 53.48/15.44  													|
% 53.48/15.44  													| Applying alpha-rule on (3757) yields:
% 53.48/15.44  													| (3758)  ~ (all_0_16_16 = 0) | ( ~ (all_107_0_1846 = 0) & q(all_107_1_1847) = all_107_0_1846)
% 53.48/15.44  													| (3759) all_0_16_16 = 0 | (all_107_0_1846 = 0 & q(all_107_1_1847) = 0)
% 53.48/15.44  													|
% 53.48/15.44  													+-Applying beta-rule and splitting (3759), into two cases.
% 53.48/15.44  													|-Branch one:
% 53.48/15.44  													| (42) all_0_16_16 = 0
% 53.48/15.44  													|
% 53.48/15.44  														| Equations (42) can reduce 71 to:
% 53.48/15.44  														| (59) $false
% 53.48/15.44  														|
% 53.48/15.44  														|-The branch is then unsatisfiable
% 53.48/15.44  													|-Branch two:
% 53.48/15.44  													| (71)  ~ (all_0_16_16 = 0)
% 53.48/15.44  													| (3763) all_107_0_1846 = 0 & q(all_107_1_1847) = 0
% 53.48/15.44  													|
% 53.48/15.44  														| Applying alpha-rule on (3763) yields:
% 53.48/15.44  														| (3764) all_107_0_1846 = 0
% 53.48/15.44  														| (3765) q(all_107_1_1847) = 0
% 53.48/15.44  														|
% 53.48/15.44  														| Instantiating formula (212) with all_107_1_1847 and discharging atoms q(all_107_1_1847) = 0, yields:
% 53.48/15.44  														| (79) $false
% 53.48/15.44  														|
% 53.48/15.44  														|-The branch is then unsatisfiable
% 53.48/15.44  											|-Branch two:
% 53.48/15.44  											| (63) all_0_0_0 = 0
% 53.48/15.44  											| (58) all_0_10_10 = 0
% 53.48/15.44  											|
% 53.48/15.44  												| Equations (58) can reduce 52 to:
% 53.48/15.44  												| (59) $false
% 53.48/15.44  												|
% 53.48/15.44  												|-The branch is then unsatisfiable
% 53.48/15.44  										|-Branch two:
% 53.48/15.44  										| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 53.48/15.44  										|
% 53.48/15.44  											| Applying alpha-rule on (60) yields:
% 53.48/15.44  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.48/15.44  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 53.48/15.44  											|
% 53.48/15.44  											| Instantiating formula (62) with all_55_1_1837 and discharging atoms s(all_55_1_1837) = 0, yields:
% 53.48/15.44  											| (79) $false
% 53.48/15.44  											|
% 53.48/15.44  											|-The branch is then unsatisfiable
% 53.48/15.44  							|-Branch two:
% 53.48/15.44  							| (3056) ((all_0_12_12 = 0 & s(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_12_12 = 0) & p(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))
% 53.48/15.45  							|
% 53.48/15.45  								| Applying alpha-rule on (3056) yields:
% 53.48/15.45  								| (3057) (all_0_12_12 = 0 & s(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_12_12 = 0) & p(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (s(v0) = 0))
% 53.48/15.45  								| (1585) (s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))
% 53.48/15.45  								|
% 53.48/15.45  								+-Applying beta-rule and splitting (1585), into two cases.
% 53.48/15.45  								|-Branch one:
% 53.48/15.45  								| (1586) s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))
% 53.48/15.45  								|
% 53.48/15.45  									| Applying alpha-rule on (1586) yields:
% 53.48/15.45  									| (1587) s(all_0_15_15) = all_0_14_14
% 53.48/15.45  									| (1588)  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 53.48/15.45  									| (1589)  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0))
% 53.48/15.45  									| (1590) (all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0))
% 53.48/15.45  									|
% 53.48/15.45  									| Instantiating formula (1588) with all_0_4_4, all_0_5_5 and discharging atoms s(all_0_5_5) = all_0_4_4, yields:
% 53.48/15.45  									| (3225)  ~ (all_0_14_14 = 0) | all_0_4_4 = 0
% 53.48/15.45  									|
% 53.48/15.45  									+-Applying beta-rule and splitting (3225), into two cases.
% 53.48/15.45  									|-Branch one:
% 53.48/15.45  									| (67)  ~ (all_0_14_14 = 0)
% 53.48/15.45  									|
% 53.48/15.45  										+-Applying beta-rule and splitting (3057), into two cases.
% 53.48/15.45  										|-Branch one:
% 53.48/15.45  										| (3066) all_0_12_12 = 0 & s(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.48/15.45  										|
% 53.48/15.45  											| Applying alpha-rule on (3066) yields:
% 53.48/15.45  											| (66) all_0_12_12 = 0
% 53.48/15.45  											| (310) s(all_0_13_13) = 0
% 53.48/15.45  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.48/15.45  											|
% 53.48/15.45  											| Instantiating formula (1589) with all_0_13_13 and discharging atoms s(all_0_13_13) = 0, yields:
% 53.48/15.45  											| (74) all_0_14_14 = 0
% 53.48/15.45  											|
% 53.48/15.45  											| Equations (74) can reduce 67 to:
% 53.48/15.45  											| (59) $false
% 53.48/15.45  											|
% 53.48/15.45  											|-The branch is then unsatisfiable
% 53.48/15.45  										|-Branch two:
% 53.48/15.45  										| (3084)  ~ (all_0_12_12 = 0) & p(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (s(v0) = 0)
% 53.48/15.45  										|
% 53.48/15.45  											| Applying alpha-rule on (3084) yields:
% 53.48/15.45  											| (135)  ~ (all_0_12_12 = 0)
% 53.48/15.45  											| (3086) p(all_0_13_13) = all_0_12_12
% 53.48/15.45  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 53.48/15.45  											|
% 53.48/15.45  											| Instantiating formula (13) with all_0_12_12, all_0_13_13 and discharging atoms p(all_0_13_13) = all_0_12_12, yields:
% 53.48/15.45  											| (3106)  ~ (all_0_0_0 = 0) | all_0_12_12 = 0
% 53.48/15.45  											|
% 53.48/15.45  											+-Applying beta-rule and splitting (1590), into two cases.
% 53.48/15.45  											|-Branch one:
% 53.48/15.45  											| (1599) all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.48/15.45  											|
% 53.48/15.45  												| Applying alpha-rule on (1599) yields:
% 53.48/15.45  												| (42) all_0_16_16 = 0
% 53.48/15.45  												| (1601) p(all_0_17_17) = 0
% 53.48/15.45  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.48/15.45  												|
% 53.48/15.45  												+-Applying beta-rule and splitting (3106), into two cases.
% 53.48/15.45  												|-Branch one:
% 53.48/15.45  												| (102)  ~ (all_0_0_0 = 0)
% 53.48/15.45  												|
% 53.48/15.45  													| Instantiating formula (14) with all_0_17_17 and discharging atoms p(all_0_17_17) = 0, yields:
% 53.48/15.45  													| (63) all_0_0_0 = 0
% 53.48/15.45  													|
% 53.48/15.45  													| Equations (63) can reduce 102 to:
% 53.48/15.45  													| (59) $false
% 53.48/15.45  													|
% 53.48/15.45  													|-The branch is then unsatisfiable
% 53.48/15.45  												|-Branch two:
% 53.48/15.45  												| (63) all_0_0_0 = 0
% 53.48/15.45  												| (66) all_0_12_12 = 0
% 53.48/15.45  												|
% 53.48/15.45  													| Equations (66) can reduce 135 to:
% 53.48/15.45  													| (59) $false
% 53.48/15.45  													|
% 53.48/15.45  													|-The branch is then unsatisfiable
% 53.48/15.45  											|-Branch two:
% 53.48/15.45  											| (1609)  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)
% 53.48/15.45  											|
% 53.48/15.45  												| Applying alpha-rule on (1609) yields:
% 53.48/15.45  												| (71)  ~ (all_0_16_16 = 0)
% 53.48/15.45  												| (23) q(all_0_17_17) = all_0_16_16
% 53.48/15.45  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 53.48/15.45  												|
% 53.48/15.45  												| Instantiating formula (717) with all_0_16_16, all_0_17_17 and discharging atoms q(all_0_17_17) = all_0_16_16, yields:
% 53.48/15.45  												| (2513)  ? [v0] :  ? [v1] : (( ~ (all_0_16_16 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_0_16_16 = 0 | (v1 = 0 & q(v0) = 0)))
% 53.48/15.45  												|
% 53.48/15.45  												| Instantiating (2513) with all_85_0_1850, all_85_1_1851 yields:
% 53.48/15.45  												| (3810) ( ~ (all_0_16_16 = 0) | ( ~ (all_85_0_1850 = 0) & q(all_85_1_1851) = all_85_0_1850)) & (all_0_16_16 = 0 | (all_85_0_1850 = 0 & q(all_85_1_1851) = 0))
% 53.48/15.45  												|
% 53.48/15.45  												| Applying alpha-rule on (3810) yields:
% 53.48/15.45  												| (3811)  ~ (all_0_16_16 = 0) | ( ~ (all_85_0_1850 = 0) & q(all_85_1_1851) = all_85_0_1850)
% 53.48/15.45  												| (3812) all_0_16_16 = 0 | (all_85_0_1850 = 0 & q(all_85_1_1851) = 0)
% 53.48/15.45  												|
% 53.48/15.45  												+-Applying beta-rule and splitting (3812), into two cases.
% 53.48/15.45  												|-Branch one:
% 53.48/15.45  												| (42) all_0_16_16 = 0
% 53.48/15.45  												|
% 53.48/15.45  													| Equations (42) can reduce 71 to:
% 53.48/15.45  													| (59) $false
% 53.48/15.45  													|
% 53.48/15.45  													|-The branch is then unsatisfiable
% 53.48/15.45  												|-Branch two:
% 53.48/15.45  												| (71)  ~ (all_0_16_16 = 0)
% 53.48/15.45  												| (3816) all_85_0_1850 = 0 & q(all_85_1_1851) = 0
% 53.48/15.45  												|
% 53.48/15.45  													| Applying alpha-rule on (3816) yields:
% 53.48/15.45  													| (3817) all_85_0_1850 = 0
% 53.48/15.45  													| (3818) q(all_85_1_1851) = 0
% 53.48/15.45  													|
% 53.48/15.45  													| Instantiating formula (212) with all_85_1_1851 and discharging atoms q(all_85_1_1851) = 0, yields:
% 53.48/15.45  													| (79) $false
% 53.48/15.45  													|
% 53.48/15.45  													|-The branch is then unsatisfiable
% 53.48/15.45  									|-Branch two:
% 53.48/15.45  									| (74) all_0_14_14 = 0
% 53.48/15.45  									| (37) all_0_4_4 = 0
% 53.48/15.45  									|
% 53.48/15.45  										| Equations (37) can reduce 214 to:
% 53.48/15.45  										| (59) $false
% 53.48/15.45  										|
% 53.48/15.45  										|-The branch is then unsatisfiable
% 53.48/15.45  								|-Branch two:
% 53.48/15.45  								| (1623)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 53.48/15.45  								|
% 53.48/15.45  									| Applying alpha-rule on (1623) yields:
% 53.48/15.45  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 53.48/15.45  									| (1625) (all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 53.48/15.45  									|
% 53.48/15.45  									| Instantiating formula (84) with all_0_4_4, all_0_5_5 and discharging atoms s(all_0_5_5) = all_0_4_4, yields:
% 53.48/15.45  									| (3177)  ? [v0] :  ? [v1] : (( ~ (all_0_4_4 = 0) | ( ~ (v1 = 0) & s(v0) = v1)) & (all_0_4_4 = 0 | (v1 = 0 & s(v0) = 0)))
% 53.48/15.45  									|
% 53.48/15.45  									| Instantiating (3177) with all_55_0_1852, all_55_1_1853 yields:
% 53.48/15.45  									| (3827) ( ~ (all_0_4_4 = 0) | ( ~ (all_55_0_1852 = 0) & s(all_55_1_1853) = all_55_0_1852)) & (all_0_4_4 = 0 | (all_55_0_1852 = 0 & s(all_55_1_1853) = 0))
% 53.48/15.45  									|
% 53.48/15.45  									| Applying alpha-rule on (3827) yields:
% 53.48/15.45  									| (3828)  ~ (all_0_4_4 = 0) | ( ~ (all_55_0_1852 = 0) & s(all_55_1_1853) = all_55_0_1852)
% 53.48/15.45  									| (3829) all_0_4_4 = 0 | (all_55_0_1852 = 0 & s(all_55_1_1853) = 0)
% 53.48/15.45  									|
% 53.48/15.45  									+-Applying beta-rule and splitting (3829), into two cases.
% 53.48/15.45  									|-Branch one:
% 53.48/15.45  									| (37) all_0_4_4 = 0
% 53.48/15.45  									|
% 53.48/15.45  										| Equations (37) can reduce 214 to:
% 53.48/15.45  										| (59) $false
% 53.48/15.45  										|
% 53.48/15.45  										|-The branch is then unsatisfiable
% 53.48/15.45  									|-Branch two:
% 53.48/15.45  									| (214)  ~ (all_0_4_4 = 0)
% 53.48/15.45  									| (3833) all_55_0_1852 = 0 & s(all_55_1_1853) = 0
% 53.48/15.45  									|
% 53.48/15.45  										| Applying alpha-rule on (3833) yields:
% 53.48/15.45  										| (3834) all_55_0_1852 = 0
% 53.48/15.45  										| (3835) s(all_55_1_1853) = 0
% 53.48/15.45  										|
% 53.48/15.45  										+-Applying beta-rule and splitting (3057), into two cases.
% 53.48/15.45  										|-Branch one:
% 53.48/15.45  										| (3066) all_0_12_12 = 0 & s(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.48/15.45  										|
% 53.48/15.45  											| Applying alpha-rule on (3066) yields:
% 53.48/15.45  											| (66) all_0_12_12 = 0
% 53.48/15.45  											| (310) s(all_0_13_13) = 0
% 53.48/15.45  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.48/15.45  											|
% 53.48/15.45  											| Instantiating formula (61) with all_0_0_0, all_0_1_1 and discharging atoms p(all_0_1_1) = all_0_0_0, yields:
% 53.48/15.45  											| (63) all_0_0_0 = 0
% 53.48/15.45  											|
% 53.48/15.45  											| From (63) and (12) follows:
% 53.48/15.45  											| (64) p(all_0_1_1) = 0
% 53.48/15.45  											|
% 53.48/15.45  											+-Applying beta-rule and splitting (1625), into two cases.
% 53.48/15.45  											|-Branch one:
% 53.48/15.45  											| (1642) all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0
% 53.48/15.45  											|
% 53.48/15.45  												| Applying alpha-rule on (1642) yields:
% 53.48/15.45  												| (74) all_0_14_14 = 0
% 53.48/15.45  												| (71)  ~ (all_0_16_16 = 0)
% 53.48/15.45  												| (23) q(all_0_17_17) = all_0_16_16
% 53.48/15.45  												| (105) p(all_0_15_15) = 0
% 53.48/15.45  												|
% 53.48/15.45  												| Instantiating formula (717) with all_0_16_16, all_0_17_17 and discharging atoms q(all_0_17_17) = all_0_16_16, yields:
% 53.48/15.45  												| (2513)  ? [v0] :  ? [v1] : (( ~ (all_0_16_16 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_0_16_16 = 0 | (v1 = 0 & q(v0) = 0)))
% 53.48/15.45  												|
% 53.48/15.46  												| Instantiating (2513) with all_104_0_1862, all_104_1_1863 yields:
% 53.48/15.46  												| (3848) ( ~ (all_0_16_16 = 0) | ( ~ (all_104_0_1862 = 0) & q(all_104_1_1863) = all_104_0_1862)) & (all_0_16_16 = 0 | (all_104_0_1862 = 0 & q(all_104_1_1863) = 0))
% 53.48/15.46  												|
% 53.48/15.46  												| Applying alpha-rule on (3848) yields:
% 53.48/15.46  												| (3849)  ~ (all_0_16_16 = 0) | ( ~ (all_104_0_1862 = 0) & q(all_104_1_1863) = all_104_0_1862)
% 53.48/15.46  												| (3850) all_0_16_16 = 0 | (all_104_0_1862 = 0 & q(all_104_1_1863) = 0)
% 53.48/15.46  												|
% 53.48/15.46  												+-Applying beta-rule and splitting (3850), into two cases.
% 53.48/15.46  												|-Branch one:
% 53.48/15.46  												| (42) all_0_16_16 = 0
% 53.48/15.46  												|
% 53.48/15.46  													| Equations (42) can reduce 71 to:
% 53.48/15.46  													| (59) $false
% 53.48/15.46  													|
% 53.48/15.46  													|-The branch is then unsatisfiable
% 53.48/15.46  												|-Branch two:
% 53.48/15.46  												| (71)  ~ (all_0_16_16 = 0)
% 53.48/15.46  												| (3854) all_104_0_1862 = 0 & q(all_104_1_1863) = 0
% 53.48/15.46  												|
% 53.48/15.46  													| Applying alpha-rule on (3854) yields:
% 53.48/15.46  													| (3855) all_104_0_1862 = 0
% 53.48/15.46  													| (3856) q(all_104_1_1863) = 0
% 53.48/15.46  													|
% 53.48/15.46  													| Instantiating formula (212) with all_104_1_1863 and discharging atoms q(all_104_1_1863) = 0, yields:
% 53.48/15.46  													| (79) $false
% 53.48/15.46  													|
% 53.48/15.46  													|-The branch is then unsatisfiable
% 53.48/15.46  											|-Branch two:
% 53.48/15.46  											| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 53.48/15.46  											|
% 53.48/15.46  												| Applying alpha-rule on (76) yields:
% 53.48/15.46  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.48/15.46  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 53.48/15.46  												|
% 53.48/15.46  												| Instantiating formula (78) with all_0_1_1 and discharging atoms p(all_0_1_1) = 0, yields:
% 53.48/15.46  												| (79) $false
% 53.48/15.46  												|
% 53.48/15.46  												|-The branch is then unsatisfiable
% 53.48/15.46  										|-Branch two:
% 53.48/15.46  										| (3084)  ~ (all_0_12_12 = 0) & p(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (s(v0) = 0)
% 53.48/15.46  										|
% 53.48/15.46  											| Applying alpha-rule on (3084) yields:
% 53.48/15.46  											| (135)  ~ (all_0_12_12 = 0)
% 53.48/15.46  											| (3086) p(all_0_13_13) = all_0_12_12
% 53.48/15.46  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 53.48/15.46  											|
% 53.48/15.46  											| Instantiating formula (62) with all_55_1_1853 and discharging atoms s(all_55_1_1853) = 0, yields:
% 53.48/15.46  											| (79) $false
% 53.48/15.46  											|
% 53.48/15.46  											|-The branch is then unsatisfiable
% 53.48/15.46  					|-Branch two:
% 53.48/15.46  					| (219)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)
% 53.48/15.46  					|
% 53.48/15.46  						| Applying alpha-rule on (219) yields:
% 53.48/15.46  						| (220)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))
% 53.48/15.46  						| (221)  ! [v0] :  ~ (r(v0) = 0)
% 53.48/15.46  						|
% 53.48/15.46  						+-Applying beta-rule and splitting (2954), into two cases.
% 53.48/15.46  						|-Branch one:
% 53.48/15.46  						| (2974) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & r(all_0_21_21) = all_0_20_20 & q(all_0_19_19) = 0
% 53.48/15.46  						|
% 53.48/15.46  							| Applying alpha-rule on (2974) yields:
% 53.48/15.46  							| (33) all_0_18_18 = 0
% 53.48/15.46  							| (34)  ~ (all_0_20_20 = 0)
% 53.48/15.46  							| (2977) r(all_0_21_21) = all_0_20_20
% 53.48/15.46  							| (2978) q(all_0_19_19) = 0
% 53.48/15.46  							|
% 53.48/15.46  							| Instantiating formula (717) with 0, all_0_19_19 and discharging atoms q(all_0_19_19) = 0, yields:
% 53.48/15.46  							| (733)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & q(v0) = v1)
% 53.48/15.46  							|
% 53.48/15.46  							| Instantiating (733) with all_48_0_1866, all_48_1_1867 yields:
% 53.48/15.46  							| (3876)  ~ (all_48_0_1866 = 0) & q(all_48_1_1867) = all_48_0_1866
% 53.48/15.46  							|
% 53.48/15.46  							| Applying alpha-rule on (3876) yields:
% 53.48/15.46  							| (3877)  ~ (all_48_0_1866 = 0)
% 53.48/15.46  							| (3878) q(all_48_1_1867) = all_48_0_1866
% 53.48/15.46  							|
% 53.48/15.46  							| Instantiating formula (717) with all_48_0_1866, all_48_1_1867 and discharging atoms q(all_48_1_1867) = all_48_0_1866, yields:
% 53.48/15.46  							| (3879)  ? [v0] :  ? [v1] : (( ~ (all_48_0_1866 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_48_0_1866 = 0 | (v1 = 0 & q(v0) = 0)))
% 53.48/15.46  							|
% 53.48/15.46  							| Instantiating (3879) with all_59_0_1868, all_59_1_1869 yields:
% 53.48/15.46  							| (3880) ( ~ (all_48_0_1866 = 0) | ( ~ (all_59_0_1868 = 0) & q(all_59_1_1869) = all_59_0_1868)) & (all_48_0_1866 = 0 | (all_59_0_1868 = 0 & q(all_59_1_1869) = 0))
% 53.48/15.46  							|
% 53.48/15.46  							| Applying alpha-rule on (3880) yields:
% 53.48/15.46  							| (3881)  ~ (all_48_0_1866 = 0) | ( ~ (all_59_0_1868 = 0) & q(all_59_1_1869) = all_59_0_1868)
% 53.48/15.46  							| (3882) all_48_0_1866 = 0 | (all_59_0_1868 = 0 & q(all_59_1_1869) = 0)
% 53.48/15.46  							|
% 53.48/15.46  							+-Applying beta-rule and splitting (2968), into two cases.
% 53.48/15.46  							|-Branch one:
% 53.48/15.46  							| (2988) ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_9_9) = 0 & p(all_0_11_11) = all_0_10_10) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))))
% 53.48/15.46  							|
% 53.48/15.46  								| Applying alpha-rule on (2988) yields:
% 53.48/15.46  								| (2989) (all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_9_9) = 0 & p(all_0_11_11) = all_0_10_10) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))
% 53.48/15.46  								| (2990) (s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0))))
% 53.48/15.46  								|
% 53.48/15.46  								+-Applying beta-rule and splitting (2990), into two cases.
% 53.48/15.46  								|-Branch one:
% 53.48/15.46  								| (2991) s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 53.48/15.46  								|
% 53.48/15.46  									| Applying alpha-rule on (2991) yields:
% 53.48/15.46  									| (130) s(all_0_13_13) = all_0_12_12
% 53.48/15.46  									| (131)  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 53.48/15.46  									| (132)  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0))
% 53.48/15.46  									| (1625) (all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 53.48/15.46  									|
% 53.48/15.46  									+-Applying beta-rule and splitting (3882), into two cases.
% 53.48/15.46  									|-Branch one:
% 53.48/15.46  									| (3891) all_48_0_1866 = 0
% 53.48/15.46  									|
% 53.48/15.46  										| Equations (3891) can reduce 3877 to:
% 53.48/15.46  										| (59) $false
% 53.48/15.46  										|
% 53.48/15.46  										|-The branch is then unsatisfiable
% 53.48/15.46  									|-Branch two:
% 53.48/15.46  									| (3877)  ~ (all_48_0_1866 = 0)
% 53.48/15.46  									| (3894) all_59_0_1868 = 0 & q(all_59_1_1869) = 0
% 53.48/15.46  									|
% 53.48/15.46  										| Instantiating formula (220) with all_0_12_12, all_0_13_13 and discharging atoms s(all_0_13_13) = all_0_12_12, yields:
% 53.48/15.46  										| (66) all_0_12_12 = 0
% 53.48/15.46  										|
% 53.48/15.46  										| From (66) and (130) follows:
% 53.48/15.46  										| (310) s(all_0_13_13) = 0
% 53.48/15.46  										|
% 53.48/15.46  										+-Applying beta-rule and splitting (2989), into two cases.
% 53.48/15.46  										|-Branch one:
% 53.48/15.46  										| (2998) all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_9_9) = 0 & p(all_0_11_11) = all_0_10_10
% 53.48/15.46  										|
% 53.48/15.46  											| Applying alpha-rule on (2998) yields:
% 53.48/15.46  											| (120) all_0_8_8 = 0
% 53.48/15.46  											| (52)  ~ (all_0_10_10 = 0)
% 53.48/15.46  											| (396) s(all_0_9_9) = 0
% 53.48/15.46  											| (144) p(all_0_11_11) = all_0_10_10
% 53.48/15.46  											|
% 53.48/15.46  											| Instantiating formula (13) with all_0_10_10, all_0_11_11 and discharging atoms p(all_0_11_11) = all_0_10_10, yields:
% 53.48/15.46  											| (146)  ~ (all_0_0_0 = 0) | all_0_10_10 = 0
% 53.48/15.46  											|
% 53.48/15.46  											+-Applying beta-rule and splitting (146), into two cases.
% 53.48/15.46  											|-Branch one:
% 53.48/15.46  											| (102)  ~ (all_0_0_0 = 0)
% 53.48/15.46  											|
% 53.48/15.46  												+-Applying beta-rule and splitting (1625), into two cases.
% 53.48/15.46  												|-Branch one:
% 53.48/15.46  												| (1642) all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0
% 53.48/15.46  												|
% 53.48/15.46  													| Applying alpha-rule on (1642) yields:
% 53.48/15.46  													| (74) all_0_14_14 = 0
% 53.48/15.46  													| (71)  ~ (all_0_16_16 = 0)
% 53.48/15.46  													| (23) q(all_0_17_17) = all_0_16_16
% 53.48/15.46  													| (105) p(all_0_15_15) = 0
% 53.48/15.46  													|
% 53.48/15.46  													| Instantiating formula (14) with all_0_15_15 and discharging atoms p(all_0_15_15) = 0, yields:
% 53.48/15.46  													| (63) all_0_0_0 = 0
% 53.48/15.46  													|
% 53.48/15.46  													| Equations (63) can reduce 102 to:
% 53.48/15.46  													| (59) $false
% 53.48/15.46  													|
% 53.48/15.46  													|-The branch is then unsatisfiable
% 53.48/15.46  												|-Branch two:
% 53.48/15.46  												| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 53.48/15.46  												|
% 53.48/15.46  													| Applying alpha-rule on (76) yields:
% 53.48/15.46  													| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.48/15.46  													| (78)  ! [v0] :  ~ (p(v0) = 0)
% 53.48/15.46  													|
% 53.48/15.46  													| Instantiating formula (77) with all_48_0_1866, all_48_1_1867 and discharging atoms q(all_48_1_1867) = all_48_0_1866, yields:
% 53.48/15.46  													| (3891) all_48_0_1866 = 0
% 53.48/15.46  													|
% 53.48/15.46  													| Equations (3891) can reduce 3877 to:
% 53.48/15.46  													| (59) $false
% 53.48/15.46  													|
% 53.48/15.46  													|-The branch is then unsatisfiable
% 53.48/15.46  											|-Branch two:
% 53.48/15.46  											| (63) all_0_0_0 = 0
% 53.48/15.46  											| (58) all_0_10_10 = 0
% 53.48/15.46  											|
% 53.48/15.46  												| Equations (58) can reduce 52 to:
% 53.48/15.46  												| (59) $false
% 53.48/15.47  												|
% 53.48/15.47  												|-The branch is then unsatisfiable
% 53.48/15.47  										|-Branch two:
% 53.48/15.47  										| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 53.48/15.47  										|
% 53.48/15.47  											| Applying alpha-rule on (60) yields:
% 53.48/15.47  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.48/15.47  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 53.48/15.47  											|
% 53.48/15.47  											| Instantiating formula (62) with all_0_13_13 and discharging atoms s(all_0_13_13) = 0, yields:
% 53.48/15.47  											| (79) $false
% 53.48/15.47  											|
% 53.48/15.47  											|-The branch is then unsatisfiable
% 53.48/15.47  								|-Branch two:
% 53.48/15.47  								| (3025)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))
% 53.48/15.47  								|
% 53.48/15.47  									| Applying alpha-rule on (3025) yields:
% 53.48/15.47  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 53.48/15.47  									| (1590) (all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0))
% 53.48/15.47  									|
% 53.48/15.47  									+-Applying beta-rule and splitting (2989), into two cases.
% 53.48/15.47  									|-Branch one:
% 53.48/15.47  									| (2998) all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_9_9) = 0 & p(all_0_11_11) = all_0_10_10
% 53.48/15.47  									|
% 53.48/15.47  										| Applying alpha-rule on (2998) yields:
% 53.48/15.47  										| (120) all_0_8_8 = 0
% 53.48/15.47  										| (52)  ~ (all_0_10_10 = 0)
% 53.48/15.47  										| (396) s(all_0_9_9) = 0
% 53.48/15.47  										| (144) p(all_0_11_11) = all_0_10_10
% 53.48/15.47  										|
% 53.48/15.47  										| Instantiating formula (84) with 0, all_0_9_9 and discharging atoms s(all_0_9_9) = 0, yields:
% 53.48/15.47  										| (278)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & s(v0) = v1)
% 53.48/15.47  										|
% 53.48/15.47  										| Instantiating (278) with all_78_0_1880, all_78_1_1881 yields:
% 53.48/15.47  										| (3932)  ~ (all_78_0_1880 = 0) & s(all_78_1_1881) = all_78_0_1880
% 53.48/15.47  										|
% 53.48/15.47  										| Applying alpha-rule on (3932) yields:
% 53.48/15.47  										| (3933)  ~ (all_78_0_1880 = 0)
% 53.48/15.47  										| (3934) s(all_78_1_1881) = all_78_0_1880
% 53.48/15.47  										|
% 53.48/15.47  										| Instantiating formula (220) with all_78_0_1880, all_78_1_1881 and discharging atoms s(all_78_1_1881) = all_78_0_1880, yields:
% 53.48/15.47  										| (3935) all_78_0_1880 = 0
% 53.48/15.47  										|
% 53.48/15.47  										| Equations (3935) can reduce 3933 to:
% 53.48/15.47  										| (59) $false
% 53.48/15.47  										|
% 53.48/15.47  										|-The branch is then unsatisfiable
% 53.48/15.47  									|-Branch two:
% 53.48/15.47  									| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 53.48/15.47  									|
% 53.48/15.47  										| Applying alpha-rule on (60) yields:
% 53.48/15.47  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.48/15.47  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 53.48/15.47  										|
% 53.48/15.47  										| Instantiating formula (61) with all_0_0_0, all_0_1_1 and discharging atoms p(all_0_1_1) = all_0_0_0, yields:
% 53.48/15.47  										| (63) all_0_0_0 = 0
% 53.48/15.47  										|
% 53.48/15.47  										| From (63) and (12) follows:
% 53.48/15.47  										| (64) p(all_0_1_1) = 0
% 53.48/15.47  										|
% 53.48/15.47  										+-Applying beta-rule and splitting (3882), into two cases.
% 53.48/15.47  										|-Branch one:
% 53.48/15.47  										| (3891) all_48_0_1866 = 0
% 53.48/15.47  										|
% 53.48/15.47  											| Equations (3891) can reduce 3877 to:
% 53.48/15.47  											| (59) $false
% 53.48/15.47  											|
% 53.48/15.47  											|-The branch is then unsatisfiable
% 53.48/15.47  										|-Branch two:
% 53.48/15.47  										| (3877)  ~ (all_48_0_1866 = 0)
% 53.48/15.47  										| (3894) all_59_0_1868 = 0 & q(all_59_1_1869) = 0
% 53.48/15.47  										|
% 53.48/15.47  											+-Applying beta-rule and splitting (1590), into two cases.
% 53.48/15.47  											|-Branch one:
% 53.48/15.47  											| (1599) all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.48/15.47  											|
% 53.48/15.47  												| Applying alpha-rule on (1599) yields:
% 53.48/15.47  												| (42) all_0_16_16 = 0
% 53.48/15.47  												| (1601) p(all_0_17_17) = 0
% 53.48/15.47  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.48/15.47  												|
% 53.48/15.47  												| Instantiating formula (77) with all_48_0_1866, all_48_1_1867 and discharging atoms q(all_48_1_1867) = all_48_0_1866, yields:
% 53.48/15.47  												| (3891) all_48_0_1866 = 0
% 53.48/15.47  												|
% 53.48/15.47  												| Equations (3891) can reduce 3877 to:
% 53.48/15.47  												| (59) $false
% 53.48/15.47  												|
% 53.48/15.47  												|-The branch is then unsatisfiable
% 53.48/15.47  											|-Branch two:
% 53.48/15.47  											| (1609)  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)
% 53.48/15.47  											|
% 53.48/15.47  												| Applying alpha-rule on (1609) yields:
% 53.48/15.47  												| (71)  ~ (all_0_16_16 = 0)
% 53.48/15.47  												| (23) q(all_0_17_17) = all_0_16_16
% 53.48/15.47  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 53.48/15.47  												|
% 53.48/15.47  												| Instantiating formula (78) with all_0_1_1 and discharging atoms p(all_0_1_1) = 0, yields:
% 53.48/15.47  												| (79) $false
% 53.48/15.47  												|
% 53.48/15.47  												|-The branch is then unsatisfiable
% 53.48/15.47  							|-Branch two:
% 53.48/15.47  							| (3056) ((all_0_12_12 = 0 & s(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_12_12 = 0) & p(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))
% 53.48/15.47  							|
% 53.48/15.47  								| Applying alpha-rule on (3056) yields:
% 53.48/15.47  								| (3057) (all_0_12_12 = 0 & s(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_12_12 = 0) & p(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (s(v0) = 0))
% 53.48/15.47  								| (1585) (s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))
% 53.48/15.47  								|
% 53.48/15.47  								+-Applying beta-rule and splitting (1585), into two cases.
% 53.48/15.47  								|-Branch one:
% 53.48/15.47  								| (1586) s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))
% 53.48/15.47  								|
% 53.48/15.47  									| Applying alpha-rule on (1586) yields:
% 53.48/15.47  									| (1587) s(all_0_15_15) = all_0_14_14
% 53.48/15.47  									| (1588)  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 53.48/15.47  									| (1589)  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0))
% 53.48/15.47  									| (1590) (all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0))
% 53.48/15.47  									|
% 53.48/15.47  									+-Applying beta-rule and splitting (3882), into two cases.
% 53.48/15.47  									|-Branch one:
% 53.48/15.47  									| (3891) all_48_0_1866 = 0
% 53.48/15.47  									|
% 53.48/15.47  										| Equations (3891) can reduce 3877 to:
% 53.48/15.47  										| (59) $false
% 53.48/15.47  										|
% 53.48/15.47  										|-The branch is then unsatisfiable
% 53.48/15.47  									|-Branch two:
% 53.48/15.47  									| (3877)  ~ (all_48_0_1866 = 0)
% 53.48/15.47  									| (3894) all_59_0_1868 = 0 & q(all_59_1_1869) = 0
% 53.48/15.47  									|
% 53.48/15.47  										| Instantiating formula (220) with all_0_14_14, all_0_15_15 and discharging atoms s(all_0_15_15) = all_0_14_14, yields:
% 53.48/15.47  										| (74) all_0_14_14 = 0
% 53.48/15.47  										|
% 53.48/15.47  										| From (74) and (1587) follows:
% 53.48/15.47  										| (1521) s(all_0_15_15) = 0
% 53.48/15.47  										|
% 53.48/15.47  										+-Applying beta-rule and splitting (3057), into two cases.
% 53.48/15.47  										|-Branch one:
% 53.48/15.47  										| (3066) all_0_12_12 = 0 & s(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.48/15.47  										|
% 53.48/15.47  											| Applying alpha-rule on (3066) yields:
% 53.48/15.47  											| (66) all_0_12_12 = 0
% 53.48/15.47  											| (310) s(all_0_13_13) = 0
% 53.48/15.47  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.48/15.47  											|
% 53.48/15.47  											| Instantiating formula (61) with all_0_0_0, all_0_1_1 and discharging atoms p(all_0_1_1) = all_0_0_0, yields:
% 53.48/15.47  											| (63) all_0_0_0 = 0
% 53.48/15.47  											|
% 53.48/15.47  											| From (63) and (12) follows:
% 53.48/15.47  											| (64) p(all_0_1_1) = 0
% 53.48/15.47  											|
% 53.48/15.47  											+-Applying beta-rule and splitting (1590), into two cases.
% 53.48/15.47  											|-Branch one:
% 53.48/15.47  											| (1599) all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.48/15.47  											|
% 53.48/15.47  												| Applying alpha-rule on (1599) yields:
% 53.48/15.47  												| (42) all_0_16_16 = 0
% 53.48/15.47  												| (1601) p(all_0_17_17) = 0
% 53.48/15.47  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.48/15.47  												|
% 53.48/15.47  												| Instantiating formula (77) with all_48_0_1866, all_48_1_1867 and discharging atoms q(all_48_1_1867) = all_48_0_1866, yields:
% 53.48/15.47  												| (3891) all_48_0_1866 = 0
% 53.48/15.47  												|
% 53.48/15.47  												| Equations (3891) can reduce 3877 to:
% 53.48/15.47  												| (59) $false
% 53.48/15.47  												|
% 53.48/15.47  												|-The branch is then unsatisfiable
% 53.48/15.47  											|-Branch two:
% 53.48/15.47  											| (1609)  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)
% 53.48/15.47  											|
% 53.48/15.47  												| Applying alpha-rule on (1609) yields:
% 53.48/15.47  												| (71)  ~ (all_0_16_16 = 0)
% 53.48/15.47  												| (23) q(all_0_17_17) = all_0_16_16
% 53.48/15.47  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 53.48/15.47  												|
% 53.48/15.47  												| Instantiating formula (78) with all_0_1_1 and discharging atoms p(all_0_1_1) = 0, yields:
% 53.48/15.47  												| (79) $false
% 53.48/15.47  												|
% 53.48/15.47  												|-The branch is then unsatisfiable
% 53.48/15.48  										|-Branch two:
% 53.48/15.48  										| (3084)  ~ (all_0_12_12 = 0) & p(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (s(v0) = 0)
% 53.48/15.48  										|
% 53.48/15.48  											| Applying alpha-rule on (3084) yields:
% 53.48/15.48  											| (135)  ~ (all_0_12_12 = 0)
% 53.48/15.48  											| (3086) p(all_0_13_13) = all_0_12_12
% 53.48/15.48  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 53.48/15.48  											|
% 53.48/15.48  											| Instantiating formula (62) with all_0_15_15 and discharging atoms s(all_0_15_15) = 0, yields:
% 53.48/15.48  											| (79) $false
% 53.48/15.48  											|
% 53.48/15.48  											|-The branch is then unsatisfiable
% 53.48/15.48  								|-Branch two:
% 53.48/15.48  								| (1623)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 53.48/15.48  								|
% 53.48/15.48  									| Applying alpha-rule on (1623) yields:
% 53.48/15.48  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 53.48/15.48  									| (1625) (all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 53.48/15.48  									|
% 53.48/15.48  									+-Applying beta-rule and splitting (3057), into two cases.
% 53.48/15.48  									|-Branch one:
% 53.48/15.48  									| (3066) all_0_12_12 = 0 & s(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.48/15.48  									|
% 53.48/15.48  										| Applying alpha-rule on (3066) yields:
% 53.48/15.48  										| (66) all_0_12_12 = 0
% 53.48/15.48  										| (310) s(all_0_13_13) = 0
% 53.48/15.48  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.48/15.48  										|
% 53.48/15.48  										| Instantiating formula (84) with 0, all_0_13_13 and discharging atoms s(all_0_13_13) = 0, yields:
% 53.48/15.48  										| (278)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & s(v0) = v1)
% 53.48/15.48  										|
% 53.48/15.48  										| Instantiating (278) with all_80_0_1896, all_80_1_1897 yields:
% 53.48/15.48  										| (4001)  ~ (all_80_0_1896 = 0) & s(all_80_1_1897) = all_80_0_1896
% 53.48/15.48  										|
% 53.48/15.48  										| Applying alpha-rule on (4001) yields:
% 53.48/15.48  										| (4002)  ~ (all_80_0_1896 = 0)
% 53.48/15.48  										| (4003) s(all_80_1_1897) = all_80_0_1896
% 53.48/15.48  										|
% 53.48/15.48  										| Instantiating formula (220) with all_80_0_1896, all_80_1_1897 and discharging atoms s(all_80_1_1897) = all_80_0_1896, yields:
% 53.48/15.48  										| (4004) all_80_0_1896 = 0
% 53.48/15.48  										|
% 53.48/15.48  										| Equations (4004) can reduce 4002 to:
% 53.48/15.48  										| (59) $false
% 53.48/15.48  										|
% 53.48/15.48  										|-The branch is then unsatisfiable
% 53.48/15.48  									|-Branch two:
% 53.48/15.48  									| (3084)  ~ (all_0_12_12 = 0) & p(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (s(v0) = 0)
% 53.48/15.48  									|
% 53.48/15.48  										| Applying alpha-rule on (3084) yields:
% 53.48/15.48  										| (135)  ~ (all_0_12_12 = 0)
% 53.48/15.48  										| (3086) p(all_0_13_13) = all_0_12_12
% 53.48/15.48  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 53.48/15.48  										|
% 53.48/15.48  										+-Applying beta-rule and splitting (3882), into two cases.
% 53.48/15.48  										|-Branch one:
% 53.48/15.48  										| (3891) all_48_0_1866 = 0
% 53.48/15.48  										|
% 53.48/15.48  											| Equations (3891) can reduce 3877 to:
% 53.48/15.48  											| (59) $false
% 53.48/15.48  											|
% 53.48/15.48  											|-The branch is then unsatisfiable
% 53.48/15.48  										|-Branch two:
% 53.48/15.48  										| (3877)  ~ (all_48_0_1866 = 0)
% 53.48/15.48  										| (3894) all_59_0_1868 = 0 & q(all_59_1_1869) = 0
% 53.48/15.48  										|
% 53.48/15.48  											| Instantiating formula (13) with all_0_12_12, all_0_13_13 and discharging atoms p(all_0_13_13) = all_0_12_12, yields:
% 53.48/15.48  											| (3106)  ~ (all_0_0_0 = 0) | all_0_12_12 = 0
% 53.48/15.48  											|
% 53.48/15.48  											+-Applying beta-rule and splitting (3106), into two cases.
% 53.48/15.48  											|-Branch one:
% 53.48/15.48  											| (102)  ~ (all_0_0_0 = 0)
% 53.48/15.48  											|
% 53.48/15.48  												+-Applying beta-rule and splitting (1625), into two cases.
% 53.48/15.48  												|-Branch one:
% 53.48/15.48  												| (1642) all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0
% 53.48/15.48  												|
% 53.48/15.48  													| Applying alpha-rule on (1642) yields:
% 53.48/15.48  													| (74) all_0_14_14 = 0
% 53.48/15.48  													| (71)  ~ (all_0_16_16 = 0)
% 53.48/15.48  													| (23) q(all_0_17_17) = all_0_16_16
% 53.48/15.48  													| (105) p(all_0_15_15) = 0
% 53.48/15.48  													|
% 53.48/15.48  													| Instantiating formula (14) with all_0_15_15 and discharging atoms p(all_0_15_15) = 0, yields:
% 53.48/15.48  													| (63) all_0_0_0 = 0
% 53.48/15.48  													|
% 53.48/15.48  													| Equations (63) can reduce 102 to:
% 53.48/15.48  													| (59) $false
% 53.48/15.48  													|
% 53.48/15.48  													|-The branch is then unsatisfiable
% 53.48/15.48  												|-Branch two:
% 53.48/15.48  												| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 53.48/15.48  												|
% 53.48/15.48  													| Applying alpha-rule on (76) yields:
% 53.48/15.48  													| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.48/15.48  													| (78)  ! [v0] :  ~ (p(v0) = 0)
% 53.48/15.48  													|
% 53.48/15.48  													| Instantiating formula (77) with all_48_0_1866, all_48_1_1867 and discharging atoms q(all_48_1_1867) = all_48_0_1866, yields:
% 53.48/15.48  													| (3891) all_48_0_1866 = 0
% 53.48/15.48  													|
% 53.48/15.48  													| Equations (3891) can reduce 3877 to:
% 53.48/15.48  													| (59) $false
% 53.48/15.48  													|
% 53.48/15.48  													|-The branch is then unsatisfiable
% 53.48/15.48  											|-Branch two:
% 53.48/15.48  											| (63) all_0_0_0 = 0
% 53.48/15.48  											| (66) all_0_12_12 = 0
% 53.48/15.48  											|
% 53.48/15.48  												| Equations (66) can reduce 135 to:
% 53.48/15.48  												| (59) $false
% 53.48/15.48  												|
% 53.48/15.48  												|-The branch is then unsatisfiable
% 53.48/15.48  						|-Branch two:
% 53.48/15.48  						| (2985)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] :  ~ (q(v0) = 0)
% 53.48/15.48  						|
% 53.48/15.48  							| Applying alpha-rule on (2985) yields:
% 53.48/15.48  							| (41)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 53.48/15.48  							| (212)  ! [v0] :  ~ (q(v0) = 0)
% 53.48/15.48  							|
% 53.48/15.48  							| Instantiating formula (41) with all_0_6_6, all_0_7_7 and discharging atoms r(all_0_7_7) = all_0_6_6, yields:
% 53.48/15.48  							| (54) all_0_6_6 = 0
% 53.48/15.48  							|
% 53.48/15.48  							| From (54) and (2965) follows:
% 53.48/15.48  							| (3304) r(all_0_7_7) = 0
% 53.48/15.48  							|
% 53.48/15.48  							| Instantiating formula (221) with all_0_7_7 and discharging atoms r(all_0_7_7) = 0, yields:
% 53.48/15.48  							| (79) $false
% 53.48/15.48  							|
% 53.48/15.48  							|-The branch is then unsatisfiable
% 53.48/15.48  				|-Branch two:
% 53.48/15.48  				| (3306)  ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & s(all_0_15_15) = 0 & p(all_0_17_17) = all_0_16_16) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))
% 53.48/15.48  				|
% 53.48/15.48  					| Applying alpha-rule on (3306) yields:
% 53.48/15.48  					| (370)  ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0))))
% 53.48/15.48  					| (3308) (((all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & s(all_0_15_15) = 0 & p(all_0_17_17) = all_0_16_16) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))
% 53.48/15.48  					|
% 53.48/15.49  					+-Applying beta-rule and splitting (3655), into two cases.
% 53.48/15.49  					|-Branch one:
% 53.68/15.49  					| (3661) all_0_2_2 = 0 &  ~ (all_0_4_4 = 0) & s(all_0_5_5) = all_0_4_4 & r(all_0_3_3) = 0
% 53.68/15.49  					|
% 53.68/15.49  						| Applying alpha-rule on (3661) yields:
% 53.68/15.49  						| (39) all_0_2_2 = 0
% 53.68/15.49  						| (214)  ~ (all_0_4_4 = 0)
% 53.68/15.49  						| (3126) s(all_0_5_5) = all_0_4_4
% 53.68/15.49  						| (3665) r(all_0_3_3) = 0
% 53.68/15.49  						|
% 53.68/15.49  						| Instantiating formula (370) with 0, all_0_3_3 and discharging atoms r(all_0_3_3) = 0, yields:
% 53.68/15.49  						| (377)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & r(v0) = v1)
% 53.68/15.49  						|
% 53.68/15.49  						| Instantiating (377) with all_40_0_1902, all_40_1_1903 yields:
% 53.68/15.49  						| (4046)  ~ (all_40_0_1902 = 0) & r(all_40_1_1903) = all_40_0_1902
% 53.68/15.49  						|
% 53.68/15.49  						| Applying alpha-rule on (4046) yields:
% 53.68/15.49  						| (4047)  ~ (all_40_0_1902 = 0)
% 53.68/15.49  						| (4048) r(all_40_1_1903) = all_40_0_1902
% 53.68/15.49  						|
% 53.68/15.49  						+-Applying beta-rule and splitting (2954), into two cases.
% 53.68/15.49  						|-Branch one:
% 53.68/15.49  						| (2974) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & r(all_0_21_21) = all_0_20_20 & q(all_0_19_19) = 0
% 53.68/15.49  						|
% 53.68/15.49  							| Applying alpha-rule on (2974) yields:
% 53.68/15.49  							| (33) all_0_18_18 = 0
% 53.68/15.49  							| (34)  ~ (all_0_20_20 = 0)
% 53.68/15.49  							| (2977) r(all_0_21_21) = all_0_20_20
% 53.68/15.49  							| (2978) q(all_0_19_19) = 0
% 53.68/15.49  							|
% 53.68/15.49  							| Instantiating formula (717) with 0, all_0_19_19 and discharging atoms q(all_0_19_19) = 0, yields:
% 53.68/15.49  							| (733)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & q(v0) = v1)
% 53.68/15.49  							|
% 53.68/15.49  							| Instantiating (733) with all_59_0_1906, all_59_1_1907 yields:
% 53.68/15.49  							| (4055)  ~ (all_59_0_1906 = 0) & q(all_59_1_1907) = all_59_0_1906
% 53.68/15.49  							|
% 53.68/15.49  							| Applying alpha-rule on (4055) yields:
% 53.68/15.49  							| (4056)  ~ (all_59_0_1906 = 0)
% 53.68/15.49  							| (4057) q(all_59_1_1907) = all_59_0_1906
% 53.68/15.49  							|
% 53.68/15.49  							| Instantiating formula (717) with all_59_0_1906, all_59_1_1907 and discharging atoms q(all_59_1_1907) = all_59_0_1906, yields:
% 53.68/15.49  							| (4058)  ? [v0] :  ? [v1] : (( ~ (all_59_0_1906 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_59_0_1906 = 0 | (v1 = 0 & q(v0) = 0)))
% 53.68/15.49  							|
% 53.68/15.49  							| Instantiating (4058) with all_73_0_1912, all_73_1_1913 yields:
% 53.68/15.49  							| (4059) ( ~ (all_59_0_1906 = 0) | ( ~ (all_73_0_1912 = 0) & q(all_73_1_1913) = all_73_0_1912)) & (all_59_0_1906 = 0 | (all_73_0_1912 = 0 & q(all_73_1_1913) = 0))
% 53.68/15.49  							|
% 53.68/15.49  							| Applying alpha-rule on (4059) yields:
% 53.68/15.49  							| (4060)  ~ (all_59_0_1906 = 0) | ( ~ (all_73_0_1912 = 0) & q(all_73_1_1913) = all_73_0_1912)
% 53.68/15.49  							| (4061) all_59_0_1906 = 0 | (all_73_0_1912 = 0 & q(all_73_1_1913) = 0)
% 53.68/15.49  							|
% 53.68/15.49  							+-Applying beta-rule and splitting (4061), into two cases.
% 53.68/15.49  							|-Branch one:
% 53.68/15.49  							| (4062) all_59_0_1906 = 0
% 53.68/15.49  							|
% 53.68/15.49  								| Equations (4062) can reduce 4056 to:
% 53.68/15.49  								| (59) $false
% 53.68/15.49  								|
% 53.68/15.49  								|-The branch is then unsatisfiable
% 53.68/15.49  							|-Branch two:
% 53.68/15.49  							| (4056)  ~ (all_59_0_1906 = 0)
% 53.68/15.49  							| (4065) all_73_0_1912 = 0 & q(all_73_1_1913) = 0
% 53.68/15.49  							|
% 53.68/15.49  								+-Applying beta-rule and splitting (3308), into two cases.
% 53.68/15.49  								|-Branch one:
% 53.68/15.49  								| (3323) ((all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))))
% 53.68/15.49  								|
% 53.68/15.49  									| Applying alpha-rule on (3323) yields:
% 53.68/15.49  									| (127) (all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))
% 53.68/15.49  									| (2990) (s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0))))
% 53.68/15.49  									|
% 53.68/15.49  									+-Applying beta-rule and splitting (127), into two cases.
% 53.68/15.49  									|-Branch one:
% 53.68/15.49  									| (136) all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.68/15.49  									|
% 53.68/15.49  										| Applying alpha-rule on (136) yields:
% 53.68/15.49  										| (58) all_0_10_10 = 0
% 53.68/15.49  										| (138) s(all_0_11_11) = 0
% 53.68/15.49  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.68/15.49  										|
% 53.68/15.49  										| Instantiating formula (61) with all_0_0_0, all_0_1_1 and discharging atoms p(all_0_1_1) = all_0_0_0, yields:
% 53.68/15.49  										| (63) all_0_0_0 = 0
% 53.68/15.49  										|
% 53.68/15.49  										| From (63) and (12) follows:
% 53.68/15.49  										| (64) p(all_0_1_1) = 0
% 53.68/15.49  										|
% 53.68/15.49  										+-Applying beta-rule and splitting (2990), into two cases.
% 53.68/15.49  										|-Branch one:
% 53.68/15.49  										| (2991) s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 53.68/15.49  										|
% 53.68/15.49  											| Applying alpha-rule on (2991) yields:
% 53.68/15.49  											| (130) s(all_0_13_13) = all_0_12_12
% 53.68/15.49  											| (131)  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 53.68/15.49  											| (132)  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0))
% 53.68/15.49  											| (1625) (all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 53.68/15.49  											|
% 53.68/15.49  											| Instantiating formula (131) with all_0_4_4, all_0_5_5 and discharging atoms s(all_0_5_5) = all_0_4_4, yields:
% 53.68/15.49  											| (3142)  ~ (all_0_12_12 = 0) | all_0_4_4 = 0
% 53.68/15.49  											|
% 53.68/15.49  											| Instantiating formula (132) with all_0_11_11 and discharging atoms s(all_0_11_11) = 0, yields:
% 53.68/15.49  											| (66) all_0_12_12 = 0
% 53.68/15.49  											|
% 53.68/15.49  											+-Applying beta-rule and splitting (3142), into two cases.
% 53.68/15.49  											|-Branch one:
% 53.68/15.49  											| (135)  ~ (all_0_12_12 = 0)
% 53.68/15.49  											|
% 53.68/15.49  												| Equations (66) can reduce 135 to:
% 53.68/15.49  												| (59) $false
% 53.68/15.49  												|
% 53.68/15.49  												|-The branch is then unsatisfiable
% 53.68/15.49  											|-Branch two:
% 53.68/15.49  											| (66) all_0_12_12 = 0
% 53.68/15.49  											| (37) all_0_4_4 = 0
% 53.68/15.49  											|
% 53.68/15.49  												| Equations (37) can reduce 214 to:
% 53.68/15.49  												| (59) $false
% 53.68/15.49  												|
% 53.68/15.49  												|-The branch is then unsatisfiable
% 53.68/15.49  										|-Branch two:
% 53.68/15.49  										| (3025)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))
% 53.68/15.49  										|
% 53.68/15.49  											| Applying alpha-rule on (3025) yields:
% 53.68/15.49  											| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 53.68/15.49  											| (1590) (all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0))
% 53.68/15.49  											|
% 53.68/15.49  											+-Applying beta-rule and splitting (1590), into two cases.
% 53.68/15.49  											|-Branch one:
% 53.68/15.49  											| (1599) all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.68/15.49  											|
% 53.68/15.49  												| Applying alpha-rule on (1599) yields:
% 53.68/15.49  												| (42) all_0_16_16 = 0
% 53.68/15.49  												| (1601) p(all_0_17_17) = 0
% 53.68/15.49  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.68/15.49  												|
% 53.68/15.49  												| Instantiating formula (77) with all_59_0_1906, all_59_1_1907 and discharging atoms q(all_59_1_1907) = all_59_0_1906, yields:
% 53.68/15.49  												| (4062) all_59_0_1906 = 0
% 53.68/15.49  												|
% 53.68/15.49  												| Equations (4062) can reduce 4056 to:
% 53.68/15.49  												| (59) $false
% 53.68/15.49  												|
% 53.68/15.49  												|-The branch is then unsatisfiable
% 53.68/15.49  											|-Branch two:
% 53.68/15.49  											| (1609)  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)
% 53.68/15.49  											|
% 53.68/15.49  												| Applying alpha-rule on (1609) yields:
% 53.68/15.49  												| (71)  ~ (all_0_16_16 = 0)
% 53.68/15.49  												| (23) q(all_0_17_17) = all_0_16_16
% 53.68/15.49  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 53.68/15.49  												|
% 53.68/15.49  												| Instantiating formula (78) with all_0_1_1 and discharging atoms p(all_0_1_1) = 0, yields:
% 53.68/15.49  												| (79) $false
% 53.68/15.49  												|
% 53.68/15.49  												|-The branch is then unsatisfiable
% 53.68/15.49  									|-Branch two:
% 53.68/15.49  									| (142)  ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0)
% 53.68/15.49  									|
% 53.68/15.49  										| Applying alpha-rule on (142) yields:
% 53.68/15.49  										| (52)  ~ (all_0_10_10 = 0)
% 53.68/15.49  										| (144) p(all_0_11_11) = all_0_10_10
% 53.68/15.49  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 53.68/15.49  										|
% 53.68/15.49  										| Instantiating formula (13) with all_0_10_10, all_0_11_11 and discharging atoms p(all_0_11_11) = all_0_10_10, yields:
% 53.68/15.50  										| (146)  ~ (all_0_0_0 = 0) | all_0_10_10 = 0
% 53.68/15.50  										|
% 53.68/15.50  										+-Applying beta-rule and splitting (2990), into two cases.
% 53.68/15.50  										|-Branch one:
% 53.68/15.50  										| (2991) s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 53.68/15.50  										|
% 53.68/15.50  											| Applying alpha-rule on (2991) yields:
% 53.68/15.50  											| (130) s(all_0_13_13) = all_0_12_12
% 53.68/15.50  											| (131)  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 53.68/15.50  											| (132)  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0))
% 53.68/15.50  											| (1625) (all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 53.68/15.50  											|
% 53.68/15.50  											+-Applying beta-rule and splitting (146), into two cases.
% 53.68/15.50  											|-Branch one:
% 53.68/15.50  											| (102)  ~ (all_0_0_0 = 0)
% 53.68/15.50  											|
% 53.68/15.50  												+-Applying beta-rule and splitting (1625), into two cases.
% 53.68/15.50  												|-Branch one:
% 53.68/15.50  												| (1642) all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0
% 53.68/15.50  												|
% 53.68/15.50  													| Applying alpha-rule on (1642) yields:
% 53.68/15.50  													| (74) all_0_14_14 = 0
% 53.68/15.50  													| (71)  ~ (all_0_16_16 = 0)
% 53.68/15.50  													| (23) q(all_0_17_17) = all_0_16_16
% 53.68/15.50  													| (105) p(all_0_15_15) = 0
% 53.68/15.50  													|
% 53.68/15.50  													| Instantiating formula (14) with all_0_15_15 and discharging atoms p(all_0_15_15) = 0, yields:
% 53.68/15.50  													| (63) all_0_0_0 = 0
% 53.68/15.50  													|
% 53.68/15.50  													| Equations (63) can reduce 102 to:
% 53.68/15.50  													| (59) $false
% 53.68/15.50  													|
% 53.68/15.50  													|-The branch is then unsatisfiable
% 53.68/15.50  												|-Branch two:
% 53.68/15.50  												| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 53.68/15.50  												|
% 53.68/15.50  													| Applying alpha-rule on (76) yields:
% 53.68/15.50  													| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.68/15.50  													| (78)  ! [v0] :  ~ (p(v0) = 0)
% 53.68/15.50  													|
% 53.68/15.50  													| Instantiating formula (77) with all_59_0_1906, all_59_1_1907 and discharging atoms q(all_59_1_1907) = all_59_0_1906, yields:
% 53.68/15.50  													| (4062) all_59_0_1906 = 0
% 53.68/15.50  													|
% 53.68/15.50  													| Equations (4062) can reduce 4056 to:
% 53.68/15.50  													| (59) $false
% 53.68/15.50  													|
% 53.68/15.50  													|-The branch is then unsatisfiable
% 53.68/15.50  											|-Branch two:
% 53.68/15.50  											| (63) all_0_0_0 = 0
% 53.68/15.50  											| (58) all_0_10_10 = 0
% 53.68/15.50  											|
% 53.68/15.50  												| Equations (58) can reduce 52 to:
% 53.68/15.50  												| (59) $false
% 53.68/15.50  												|
% 53.68/15.50  												|-The branch is then unsatisfiable
% 53.68/15.50  										|-Branch two:
% 53.68/15.50  										| (3025)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))
% 53.68/15.50  										|
% 53.68/15.50  											| Applying alpha-rule on (3025) yields:
% 53.68/15.50  											| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 53.68/15.50  											| (1590) (all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0))
% 53.68/15.50  											|
% 53.68/15.50  											| Instantiating formula (84) with all_0_4_4, all_0_5_5 and discharging atoms s(all_0_5_5) = all_0_4_4, yields:
% 53.68/15.50  											| (3177)  ? [v0] :  ? [v1] : (( ~ (all_0_4_4 = 0) | ( ~ (v1 = 0) & s(v0) = v1)) & (all_0_4_4 = 0 | (v1 = 0 & s(v0) = 0)))
% 53.68/15.50  											|
% 53.68/15.50  											| Instantiating (3177) with all_285_0_2082, all_285_1_2083 yields:
% 53.68/15.50  											| (4131) ( ~ (all_0_4_4 = 0) | ( ~ (all_285_0_2082 = 0) & s(all_285_1_2083) = all_285_0_2082)) & (all_0_4_4 = 0 | (all_285_0_2082 = 0 & s(all_285_1_2083) = 0))
% 53.68/15.50  											|
% 53.68/15.50  											| Applying alpha-rule on (4131) yields:
% 53.68/15.50  											| (4132)  ~ (all_0_4_4 = 0) | ( ~ (all_285_0_2082 = 0) & s(all_285_1_2083) = all_285_0_2082)
% 53.68/15.50  											| (4133) all_0_4_4 = 0 | (all_285_0_2082 = 0 & s(all_285_1_2083) = 0)
% 53.68/15.50  											|
% 53.68/15.50  											+-Applying beta-rule and splitting (4133), into two cases.
% 53.68/15.50  											|-Branch one:
% 53.68/15.50  											| (37) all_0_4_4 = 0
% 53.68/15.50  											|
% 53.68/15.50  												| Equations (37) can reduce 214 to:
% 53.68/15.50  												| (59) $false
% 53.68/15.50  												|
% 53.68/15.50  												|-The branch is then unsatisfiable
% 53.68/15.50  											|-Branch two:
% 53.68/15.50  											| (214)  ~ (all_0_4_4 = 0)
% 53.68/15.50  											| (4137) all_285_0_2082 = 0 & s(all_285_1_2083) = 0
% 53.68/15.50  											|
% 53.68/15.50  												| Applying alpha-rule on (4137) yields:
% 53.68/15.50  												| (4138) all_285_0_2082 = 0
% 53.68/15.50  												| (4139) s(all_285_1_2083) = 0
% 53.68/15.50  												|
% 53.68/15.50  												| Instantiating formula (62) with all_285_1_2083 and discharging atoms s(all_285_1_2083) = 0, yields:
% 53.68/15.50  												| (79) $false
% 53.68/15.50  												|
% 53.68/15.50  												|-The branch is then unsatisfiable
% 53.68/15.50  								|-Branch two:
% 53.68/15.50  								| (3397) ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & s(all_0_15_15) = 0 & p(all_0_17_17) = all_0_16_16) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))
% 53.68/15.50  								|
% 53.68/15.50  									| Applying alpha-rule on (3397) yields:
% 53.68/15.50  									| (3398) (all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & s(all_0_15_15) = 0 & p(all_0_17_17) = all_0_16_16) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))
% 53.68/15.50  									| (3399) (s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))
% 53.68/15.50  									|
% 53.68/15.50  									+-Applying beta-rule and splitting (3398), into two cases.
% 53.68/15.50  									|-Branch one:
% 53.68/15.50  									| (3400) all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & s(all_0_15_15) = 0 & p(all_0_17_17) = all_0_16_16
% 53.68/15.50  									|
% 53.68/15.50  										| Applying alpha-rule on (3400) yields:
% 53.68/15.50  										| (74) all_0_14_14 = 0
% 53.68/15.50  										| (71)  ~ (all_0_16_16 = 0)
% 53.68/15.50  										| (1521) s(all_0_15_15) = 0
% 53.68/15.50  										| (1962) p(all_0_17_17) = all_0_16_16
% 53.68/15.50  										|
% 53.68/15.50  										| Instantiating formula (13) with all_0_16_16, all_0_17_17 and discharging atoms p(all_0_17_17) = all_0_16_16, yields:
% 53.68/15.50  										| (1964)  ~ (all_0_0_0 = 0) | all_0_16_16 = 0
% 53.68/15.50  										|
% 53.68/15.50  										+-Applying beta-rule and splitting (3399), into two cases.
% 53.68/15.50  										|-Branch one:
% 53.68/15.50  										| (3406) s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0)))
% 53.68/15.50  										|
% 53.68/15.50  											| Applying alpha-rule on (3406) yields:
% 53.68/15.50  											| (47) s(all_0_11_11) = all_0_10_10
% 53.68/15.50  											| (48)  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 53.68/15.50  											| (49)  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0))
% 53.68/15.50  											| (3410) (all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0))
% 53.68/15.50  											|
% 53.68/15.50  											| Instantiating formula (48) with all_0_4_4, all_0_5_5 and discharging atoms s(all_0_5_5) = all_0_4_4, yields:
% 53.68/15.50  											| (3584)  ~ (all_0_10_10 = 0) | all_0_4_4 = 0
% 53.68/15.50  											|
% 53.68/15.50  											| Instantiating formula (49) with all_0_15_15 and discharging atoms s(all_0_15_15) = 0, yields:
% 53.68/15.50  											| (58) all_0_10_10 = 0
% 53.68/15.50  											|
% 53.68/15.50  											+-Applying beta-rule and splitting (3584), into two cases.
% 53.68/15.50  											|-Branch one:
% 53.68/15.50  											| (52)  ~ (all_0_10_10 = 0)
% 53.68/15.50  											|
% 53.68/15.50  												| Equations (58) can reduce 52 to:
% 53.68/15.50  												| (59) $false
% 53.68/15.50  												|
% 53.68/15.50  												|-The branch is then unsatisfiable
% 53.68/15.50  											|-Branch two:
% 53.68/15.50  											| (58) all_0_10_10 = 0
% 53.68/15.50  											| (37) all_0_4_4 = 0
% 53.68/15.50  											|
% 53.68/15.50  												| Equations (37) can reduce 214 to:
% 53.68/15.50  												| (59) $false
% 53.68/15.50  												|
% 53.68/15.50  												|-The branch is then unsatisfiable
% 53.68/15.50  										|-Branch two:
% 53.68/15.50  										| (3431)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 53.68/15.50  										|
% 53.68/15.50  											| Applying alpha-rule on (3431) yields:
% 53.68/15.50  											| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 53.68/15.50  											| (3433) (all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 53.68/15.50  											|
% 53.68/15.50  											+-Applying beta-rule and splitting (1964), into two cases.
% 53.68/15.50  											|-Branch one:
% 53.68/15.50  											| (102)  ~ (all_0_0_0 = 0)
% 53.68/15.50  											|
% 53.68/15.50  												+-Applying beta-rule and splitting (3433), into two cases.
% 53.68/15.50  												|-Branch one:
% 53.68/15.50  												| (3456) all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0
% 53.68/15.50  												|
% 53.68/15.50  													| Applying alpha-rule on (3456) yields:
% 53.68/15.50  													| (58) all_0_10_10 = 0
% 53.68/15.50  													| (135)  ~ (all_0_12_12 = 0)
% 53.68/15.50  													| (3420) q(all_0_13_13) = all_0_12_12
% 53.68/15.50  													| (521) p(all_0_11_11) = 0
% 53.68/15.50  													|
% 53.68/15.50  													| Instantiating formula (14) with all_0_11_11 and discharging atoms p(all_0_11_11) = 0, yields:
% 53.68/15.50  													| (63) all_0_0_0 = 0
% 53.68/15.50  													|
% 53.68/15.51  													| Equations (63) can reduce 102 to:
% 53.68/15.51  													| (59) $false
% 53.68/15.51  													|
% 53.68/15.51  													|-The branch is then unsatisfiable
% 53.68/15.51  												|-Branch two:
% 53.68/15.51  												| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 53.68/15.51  												|
% 53.68/15.51  													| Applying alpha-rule on (76) yields:
% 53.68/15.51  													| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.68/15.51  													| (78)  ! [v0] :  ~ (p(v0) = 0)
% 53.68/15.51  													|
% 53.68/15.51  													| Instantiating formula (77) with all_59_0_1906, all_59_1_1907 and discharging atoms q(all_59_1_1907) = all_59_0_1906, yields:
% 53.68/15.51  													| (4062) all_59_0_1906 = 0
% 53.68/15.51  													|
% 53.68/15.51  													| Equations (4062) can reduce 4056 to:
% 53.68/15.51  													| (59) $false
% 53.68/15.51  													|
% 53.68/15.51  													|-The branch is then unsatisfiable
% 53.68/15.51  											|-Branch two:
% 53.68/15.51  											| (63) all_0_0_0 = 0
% 53.68/15.51  											| (42) all_0_16_16 = 0
% 53.68/15.51  											|
% 53.68/15.51  												| Equations (42) can reduce 71 to:
% 53.68/15.51  												| (59) $false
% 53.68/15.51  												|
% 53.68/15.51  												|-The branch is then unsatisfiable
% 53.68/15.51  									|-Branch two:
% 53.68/15.51  									| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 53.68/15.51  									|
% 53.68/15.51  										| Applying alpha-rule on (60) yields:
% 53.68/15.51  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.68/15.51  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 53.68/15.51  										|
% 53.68/15.51  										| Instantiating formula (61) with all_0_0_0, all_0_1_1 and discharging atoms p(all_0_1_1) = all_0_0_0, yields:
% 53.68/15.51  										| (63) all_0_0_0 = 0
% 53.68/15.51  										|
% 53.68/15.51  										| From (63) and (12) follows:
% 53.68/15.51  										| (64) p(all_0_1_1) = 0
% 53.68/15.51  										|
% 53.68/15.51  										+-Applying beta-rule and splitting (3399), into two cases.
% 53.68/15.51  										|-Branch one:
% 53.68/15.51  										| (3406) s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0)))
% 53.68/15.51  										|
% 53.68/15.51  											| Applying alpha-rule on (3406) yields:
% 53.68/15.51  											| (47) s(all_0_11_11) = all_0_10_10
% 53.68/15.51  											| (48)  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 53.68/15.51  											| (49)  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0))
% 53.68/15.51  											| (3410) (all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0))
% 53.68/15.51  											|
% 53.68/15.51  											+-Applying beta-rule and splitting (3410), into two cases.
% 53.68/15.51  											|-Branch one:
% 53.68/15.51  											| (3412) all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.68/15.51  											|
% 53.68/15.51  												| Applying alpha-rule on (3412) yields:
% 53.68/15.51  												| (66) all_0_12_12 = 0
% 53.68/15.51  												| (69) p(all_0_13_13) = 0
% 53.68/15.51  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.68/15.51  												|
% 53.68/15.51  												| Instantiating formula (77) with all_59_0_1906, all_59_1_1907 and discharging atoms q(all_59_1_1907) = all_59_0_1906, yields:
% 53.68/15.51  												| (4062) all_59_0_1906 = 0
% 53.68/15.51  												|
% 53.68/15.51  												| Equations (4062) can reduce 4056 to:
% 53.68/15.51  												| (59) $false
% 53.68/15.51  												|
% 53.68/15.51  												|-The branch is then unsatisfiable
% 53.68/15.51  											|-Branch two:
% 53.68/15.51  											| (3418)  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0)
% 53.68/15.51  											|
% 53.68/15.51  												| Applying alpha-rule on (3418) yields:
% 53.68/15.51  												| (135)  ~ (all_0_12_12 = 0)
% 53.68/15.51  												| (3420) q(all_0_13_13) = all_0_12_12
% 53.68/15.51  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 53.68/15.51  												|
% 53.68/15.51  												| Instantiating formula (78) with all_0_1_1 and discharging atoms p(all_0_1_1) = 0, yields:
% 53.68/15.51  												| (79) $false
% 53.68/15.51  												|
% 53.68/15.51  												|-The branch is then unsatisfiable
% 53.68/15.51  										|-Branch two:
% 53.68/15.51  										| (3431)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 53.68/15.51  										|
% 53.68/15.51  											| Applying alpha-rule on (3431) yields:
% 53.68/15.51  											| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 53.68/15.51  											| (3433) (all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 53.68/15.51  											|
% 53.68/15.51  											| Instantiating formula (84) with all_0_4_4, all_0_5_5 and discharging atoms s(all_0_5_5) = all_0_4_4, yields:
% 53.68/15.51  											| (3177)  ? [v0] :  ? [v1] : (( ~ (all_0_4_4 = 0) | ( ~ (v1 = 0) & s(v0) = v1)) & (all_0_4_4 = 0 | (v1 = 0 & s(v0) = 0)))
% 53.68/15.51  											|
% 53.68/15.51  											| Instantiating (3177) with all_285_0_2224, all_285_1_2225 yields:
% 53.68/15.51  											| (4206) ( ~ (all_0_4_4 = 0) | ( ~ (all_285_0_2224 = 0) & s(all_285_1_2225) = all_285_0_2224)) & (all_0_4_4 = 0 | (all_285_0_2224 = 0 & s(all_285_1_2225) = 0))
% 53.68/15.51  											|
% 53.68/15.51  											| Applying alpha-rule on (4206) yields:
% 53.68/15.51  											| (4207)  ~ (all_0_4_4 = 0) | ( ~ (all_285_0_2224 = 0) & s(all_285_1_2225) = all_285_0_2224)
% 53.68/15.51  											| (4208) all_0_4_4 = 0 | (all_285_0_2224 = 0 & s(all_285_1_2225) = 0)
% 53.68/15.51  											|
% 53.68/15.51  											+-Applying beta-rule and splitting (4208), into two cases.
% 53.68/15.51  											|-Branch one:
% 53.68/15.51  											| (37) all_0_4_4 = 0
% 53.68/15.51  											|
% 53.68/15.51  												| Equations (37) can reduce 214 to:
% 53.68/15.51  												| (59) $false
% 53.68/15.51  												|
% 53.68/15.51  												|-The branch is then unsatisfiable
% 53.68/15.51  											|-Branch two:
% 53.68/15.51  											| (214)  ~ (all_0_4_4 = 0)
% 53.68/15.51  											| (4212) all_285_0_2224 = 0 & s(all_285_1_2225) = 0
% 53.68/15.51  											|
% 53.68/15.51  												| Applying alpha-rule on (4212) yields:
% 53.68/15.51  												| (4213) all_285_0_2224 = 0
% 53.68/15.51  												| (4214) s(all_285_1_2225) = 0
% 53.68/15.51  												|
% 53.68/15.51  												| Instantiating formula (62) with all_285_1_2225 and discharging atoms s(all_285_1_2225) = 0, yields:
% 53.68/15.51  												| (79) $false
% 53.68/15.51  												|
% 53.68/15.51  												|-The branch is then unsatisfiable
% 53.68/15.51  						|-Branch two:
% 53.68/15.51  						| (2985)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] :  ~ (q(v0) = 0)
% 53.68/15.51  						|
% 53.68/15.51  							| Applying alpha-rule on (2985) yields:
% 53.68/15.51  							| (41)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 53.68/15.51  							| (212)  ! [v0] :  ~ (q(v0) = 0)
% 53.68/15.51  							|
% 53.68/15.51  							| Instantiating formula (41) with all_40_0_1902, all_40_1_1903 and discharging atoms r(all_40_1_1903) = all_40_0_1902, yields:
% 53.68/15.51  							| (4219) all_40_0_1902 = 0
% 53.68/15.51  							|
% 53.68/15.51  							| Equations (4219) can reduce 4047 to:
% 53.68/15.51  							| (59) $false
% 53.68/15.51  							|
% 53.68/15.51  							|-The branch is then unsatisfiable
% 53.68/15.51  					|-Branch two:
% 53.68/15.51  					| (219)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)
% 53.68/15.51  					|
% 53.68/15.51  						| Applying alpha-rule on (219) yields:
% 53.68/15.51  						| (220)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))
% 53.68/15.51  						| (221)  ! [v0] :  ~ (r(v0) = 0)
% 53.68/15.51  						|
% 53.68/15.51  						+-Applying beta-rule and splitting (2954), into two cases.
% 53.68/15.51  						|-Branch one:
% 53.68/15.51  						| (2974) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & r(all_0_21_21) = all_0_20_20 & q(all_0_19_19) = 0
% 53.68/15.51  						|
% 53.68/15.51  							| Applying alpha-rule on (2974) yields:
% 53.68/15.51  							| (33) all_0_18_18 = 0
% 53.68/15.51  							| (34)  ~ (all_0_20_20 = 0)
% 53.68/15.51  							| (2977) r(all_0_21_21) = all_0_20_20
% 53.68/15.51  							| (2978) q(all_0_19_19) = 0
% 53.68/15.51  							|
% 53.68/15.51  							| Instantiating formula (370) with all_0_20_20, all_0_21_21 and discharging atoms r(all_0_21_21) = all_0_20_20, yields:
% 53.68/15.51  							| (3485)  ? [v0] :  ? [v1] : (( ~ (all_0_20_20 = 0) | ( ~ (v1 = 0) & r(v0) = v1)) & (all_0_20_20 = 0 | (v1 = 0 & r(v0) = 0)))
% 53.68/15.51  							|
% 53.68/15.51  							| Instantiating (3485) with all_46_0_2228, all_46_1_2229 yields:
% 53.68/15.51  							| (4230) ( ~ (all_0_20_20 = 0) | ( ~ (all_46_0_2228 = 0) & r(all_46_1_2229) = all_46_0_2228)) & (all_0_20_20 = 0 | (all_46_0_2228 = 0 & r(all_46_1_2229) = 0))
% 53.68/15.51  							|
% 53.68/15.51  							| Applying alpha-rule on (4230) yields:
% 53.68/15.51  							| (4231)  ~ (all_0_20_20 = 0) | ( ~ (all_46_0_2228 = 0) & r(all_46_1_2229) = all_46_0_2228)
% 53.68/15.51  							| (4232) all_0_20_20 = 0 | (all_46_0_2228 = 0 & r(all_46_1_2229) = 0)
% 53.68/15.51  							|
% 53.68/15.51  							+-Applying beta-rule and splitting (4232), into two cases.
% 53.68/15.51  							|-Branch one:
% 53.68/15.51  							| (81) all_0_20_20 = 0
% 53.68/15.51  							|
% 53.68/15.51  								| Equations (81) can reduce 34 to:
% 53.68/15.51  								| (59) $false
% 53.68/15.51  								|
% 53.68/15.51  								|-The branch is then unsatisfiable
% 53.68/15.51  							|-Branch two:
% 53.68/15.51  							| (34)  ~ (all_0_20_20 = 0)
% 53.68/15.51  							| (4236) all_46_0_2228 = 0 & r(all_46_1_2229) = 0
% 53.68/15.51  							|
% 53.68/15.51  								| Applying alpha-rule on (4236) yields:
% 53.68/15.51  								| (4237) all_46_0_2228 = 0
% 53.68/15.51  								| (4238) r(all_46_1_2229) = 0
% 53.68/15.51  								|
% 53.68/15.51  								| Instantiating formula (221) with all_46_1_2229 and discharging atoms r(all_46_1_2229) = 0, yields:
% 53.68/15.52  								| (79) $false
% 53.68/15.52  								|
% 53.68/15.52  								|-The branch is then unsatisfiable
% 53.68/15.52  						|-Branch two:
% 53.68/15.52  						| (2985)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] :  ~ (q(v0) = 0)
% 53.68/15.52  						|
% 53.68/15.52  							| Applying alpha-rule on (2985) yields:
% 53.68/15.52  							| (41)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 53.68/15.52  							| (212)  ! [v0] :  ~ (q(v0) = 0)
% 53.68/15.52  							|
% 53.68/15.52  							+-Applying beta-rule and splitting (3308), into two cases.
% 53.68/15.52  							|-Branch one:
% 53.68/15.52  							| (3323) ((all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))))
% 53.68/15.52  							|
% 53.68/15.52  								| Applying alpha-rule on (3323) yields:
% 53.68/15.52  								| (127) (all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))
% 53.68/15.52  								| (2990) (s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0))))
% 53.68/15.52  								|
% 53.68/15.52  								+-Applying beta-rule and splitting (2990), into two cases.
% 53.68/15.52  								|-Branch one:
% 53.68/15.52  								| (2991) s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 53.68/15.52  								|
% 53.68/15.52  									| Applying alpha-rule on (2991) yields:
% 53.68/15.52  									| (130) s(all_0_13_13) = all_0_12_12
% 53.68/15.52  									| (131)  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 53.68/15.52  									| (132)  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0))
% 53.68/15.52  									| (1625) (all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 53.68/15.52  									|
% 53.68/15.52  									| Instantiating formula (220) with all_0_12_12, all_0_13_13 and discharging atoms s(all_0_13_13) = all_0_12_12, yields:
% 53.68/15.52  									| (66) all_0_12_12 = 0
% 53.68/15.52  									|
% 53.68/15.52  									| From (66) and (130) follows:
% 53.68/15.52  									| (310) s(all_0_13_13) = 0
% 53.68/15.52  									|
% 53.68/15.52  									+-Applying beta-rule and splitting (127), into two cases.
% 53.68/15.52  									|-Branch one:
% 53.68/15.52  									| (136) all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.68/15.52  									|
% 53.68/15.52  										| Applying alpha-rule on (136) yields:
% 53.68/15.52  										| (58) all_0_10_10 = 0
% 53.68/15.52  										| (138) s(all_0_11_11) = 0
% 53.68/15.52  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.68/15.52  										|
% 53.68/15.52  										| Instantiating formula (61) with all_0_0_0, all_0_1_1 and discharging atoms p(all_0_1_1) = all_0_0_0, yields:
% 53.68/15.52  										| (63) all_0_0_0 = 0
% 53.68/15.52  										|
% 53.68/15.52  										| From (63) and (12) follows:
% 53.68/15.52  										| (64) p(all_0_1_1) = 0
% 53.68/15.52  										|
% 53.68/15.52  										+-Applying beta-rule and splitting (1625), into two cases.
% 53.68/15.52  										|-Branch one:
% 53.68/15.52  										| (1642) all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0
% 53.68/15.52  										|
% 53.68/15.52  											| Applying alpha-rule on (1642) yields:
% 53.68/15.52  											| (74) all_0_14_14 = 0
% 53.68/15.52  											| (71)  ~ (all_0_16_16 = 0)
% 53.68/15.52  											| (23) q(all_0_17_17) = all_0_16_16
% 53.68/15.52  											| (105) p(all_0_15_15) = 0
% 53.68/15.52  											|
% 53.68/15.52  											| Instantiating formula (717) with all_0_16_16, all_0_17_17 and discharging atoms q(all_0_17_17) = all_0_16_16, yields:
% 53.68/15.52  											| (2513)  ? [v0] :  ? [v1] : (( ~ (all_0_16_16 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_0_16_16 = 0 | (v1 = 0 & q(v0) = 0)))
% 53.68/15.52  											|
% 53.68/15.52  											| Instantiating (2513) with all_70_0_2230, all_70_1_2231 yields:
% 53.68/15.52  											| (4265) ( ~ (all_0_16_16 = 0) | ( ~ (all_70_0_2230 = 0) & q(all_70_1_2231) = all_70_0_2230)) & (all_0_16_16 = 0 | (all_70_0_2230 = 0 & q(all_70_1_2231) = 0))
% 53.68/15.52  											|
% 53.68/15.52  											| Applying alpha-rule on (4265) yields:
% 53.68/15.52  											| (4266)  ~ (all_0_16_16 = 0) | ( ~ (all_70_0_2230 = 0) & q(all_70_1_2231) = all_70_0_2230)
% 53.68/15.52  											| (4267) all_0_16_16 = 0 | (all_70_0_2230 = 0 & q(all_70_1_2231) = 0)
% 53.68/15.52  											|
% 53.68/15.52  											+-Applying beta-rule and splitting (4267), into two cases.
% 53.68/15.52  											|-Branch one:
% 53.68/15.52  											| (42) all_0_16_16 = 0
% 53.68/15.52  											|
% 53.68/15.52  												| Equations (42) can reduce 71 to:
% 53.68/15.52  												| (59) $false
% 53.68/15.52  												|
% 53.68/15.52  												|-The branch is then unsatisfiable
% 53.68/15.52  											|-Branch two:
% 53.68/15.52  											| (71)  ~ (all_0_16_16 = 0)
% 53.68/15.52  											| (4271) all_70_0_2230 = 0 & q(all_70_1_2231) = 0
% 53.68/15.52  											|
% 53.68/15.52  												| Applying alpha-rule on (4271) yields:
% 53.68/15.52  												| (4272) all_70_0_2230 = 0
% 53.68/15.52  												| (4273) q(all_70_1_2231) = 0
% 53.68/15.52  												|
% 53.68/15.52  												| Instantiating formula (212) with all_70_1_2231 and discharging atoms q(all_70_1_2231) = 0, yields:
% 53.68/15.52  												| (79) $false
% 53.68/15.52  												|
% 53.68/15.52  												|-The branch is then unsatisfiable
% 53.68/15.52  										|-Branch two:
% 53.68/15.52  										| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 53.68/15.52  										|
% 53.68/15.52  											| Applying alpha-rule on (76) yields:
% 53.68/15.52  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.68/15.52  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 53.68/15.52  											|
% 53.68/15.52  											| Instantiating formula (78) with all_0_1_1 and discharging atoms p(all_0_1_1) = 0, yields:
% 53.68/15.52  											| (79) $false
% 53.68/15.52  											|
% 53.68/15.52  											|-The branch is then unsatisfiable
% 53.68/15.52  									|-Branch two:
% 53.68/15.52  									| (142)  ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0)
% 53.68/15.52  									|
% 53.68/15.52  										| Applying alpha-rule on (142) yields:
% 53.68/15.52  										| (52)  ~ (all_0_10_10 = 0)
% 53.68/15.52  										| (144) p(all_0_11_11) = all_0_10_10
% 53.68/15.52  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 53.68/15.52  										|
% 53.68/15.52  										| Instantiating formula (62) with all_0_13_13 and discharging atoms s(all_0_13_13) = 0, yields:
% 53.68/15.52  										| (79) $false
% 53.68/15.52  										|
% 53.68/15.52  										|-The branch is then unsatisfiable
% 53.68/15.52  								|-Branch two:
% 53.68/15.52  								| (3025)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))
% 53.68/15.52  								|
% 53.68/15.52  									| Applying alpha-rule on (3025) yields:
% 53.68/15.52  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 53.68/15.52  									| (1590) (all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0))
% 53.68/15.52  									|
% 53.68/15.52  									+-Applying beta-rule and splitting (127), into two cases.
% 53.68/15.52  									|-Branch one:
% 53.68/15.52  									| (136) all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.68/15.52  									|
% 53.68/15.52  										| Applying alpha-rule on (136) yields:
% 53.68/15.52  										| (58) all_0_10_10 = 0
% 53.68/15.52  										| (138) s(all_0_11_11) = 0
% 53.68/15.52  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.68/15.52  										|
% 53.68/15.52  										| Instantiating formula (84) with 0, all_0_11_11 and discharging atoms s(all_0_11_11) = 0, yields:
% 53.68/15.52  										| (278)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & s(v0) = v1)
% 53.68/15.52  										|
% 53.68/15.52  										| Instantiating (278) with all_55_0_2232, all_55_1_2233 yields:
% 53.68/15.52  										| (4292)  ~ (all_55_0_2232 = 0) & s(all_55_1_2233) = all_55_0_2232
% 53.68/15.52  										|
% 53.68/15.52  										| Applying alpha-rule on (4292) yields:
% 53.68/15.52  										| (4293)  ~ (all_55_0_2232 = 0)
% 53.68/15.52  										| (4294) s(all_55_1_2233) = all_55_0_2232
% 53.68/15.52  										|
% 53.68/15.52  										| Instantiating formula (220) with all_55_0_2232, all_55_1_2233 and discharging atoms s(all_55_1_2233) = all_55_0_2232, yields:
% 53.68/15.52  										| (4295) all_55_0_2232 = 0
% 53.68/15.52  										|
% 53.68/15.52  										| Equations (4295) can reduce 4293 to:
% 53.68/15.52  										| (59) $false
% 53.68/15.52  										|
% 53.68/15.52  										|-The branch is then unsatisfiable
% 53.68/15.52  									|-Branch two:
% 53.68/15.52  									| (142)  ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0)
% 53.68/15.52  									|
% 53.68/15.52  										| Applying alpha-rule on (142) yields:
% 53.68/15.52  										| (52)  ~ (all_0_10_10 = 0)
% 53.68/15.52  										| (144) p(all_0_11_11) = all_0_10_10
% 53.68/15.52  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 53.68/15.52  										|
% 53.68/15.52  										| Instantiating formula (13) with all_0_10_10, all_0_11_11 and discharging atoms p(all_0_11_11) = all_0_10_10, yields:
% 53.68/15.52  										| (146)  ~ (all_0_0_0 = 0) | all_0_10_10 = 0
% 53.68/15.52  										|
% 53.68/15.52  										+-Applying beta-rule and splitting (1590), into two cases.
% 53.68/15.52  										|-Branch one:
% 53.68/15.52  										| (1599) all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.68/15.52  										|
% 53.68/15.52  											| Applying alpha-rule on (1599) yields:
% 53.68/15.52  											| (42) all_0_16_16 = 0
% 53.68/15.52  											| (1601) p(all_0_17_17) = 0
% 53.68/15.52  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.68/15.52  											|
% 53.68/15.52  											+-Applying beta-rule and splitting (146), into two cases.
% 53.68/15.52  											|-Branch one:
% 53.68/15.52  											| (102)  ~ (all_0_0_0 = 0)
% 53.68/15.52  											|
% 53.68/15.52  												| Instantiating formula (14) with all_0_17_17 and discharging atoms p(all_0_17_17) = 0, yields:
% 53.68/15.52  												| (63) all_0_0_0 = 0
% 53.68/15.52  												|
% 53.68/15.52  												| Equations (63) can reduce 102 to:
% 53.68/15.52  												| (59) $false
% 53.68/15.52  												|
% 53.68/15.52  												|-The branch is then unsatisfiable
% 53.68/15.52  											|-Branch two:
% 53.68/15.52  											| (63) all_0_0_0 = 0
% 53.68/15.52  											| (58) all_0_10_10 = 0
% 53.68/15.52  											|
% 53.68/15.52  												| Equations (58) can reduce 52 to:
% 53.68/15.52  												| (59) $false
% 53.68/15.52  												|
% 53.68/15.52  												|-The branch is then unsatisfiable
% 53.68/15.52  										|-Branch two:
% 53.68/15.52  										| (1609)  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)
% 53.68/15.52  										|
% 53.68/15.52  											| Applying alpha-rule on (1609) yields:
% 53.68/15.52  											| (71)  ~ (all_0_16_16 = 0)
% 53.68/15.52  											| (23) q(all_0_17_17) = all_0_16_16
% 53.68/15.52  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 53.68/15.52  											|
% 53.68/15.52  											| Instantiating formula (717) with all_0_16_16, all_0_17_17 and discharging atoms q(all_0_17_17) = all_0_16_16, yields:
% 53.68/15.52  											| (2513)  ? [v0] :  ? [v1] : (( ~ (all_0_16_16 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_0_16_16 = 0 | (v1 = 0 & q(v0) = 0)))
% 53.68/15.53  											|
% 53.68/15.53  											| Instantiating (2513) with all_66_0_2234, all_66_1_2235 yields:
% 53.68/15.53  											| (4317) ( ~ (all_0_16_16 = 0) | ( ~ (all_66_0_2234 = 0) & q(all_66_1_2235) = all_66_0_2234)) & (all_0_16_16 = 0 | (all_66_0_2234 = 0 & q(all_66_1_2235) = 0))
% 53.68/15.53  											|
% 53.68/15.53  											| Applying alpha-rule on (4317) yields:
% 53.68/15.53  											| (4318)  ~ (all_0_16_16 = 0) | ( ~ (all_66_0_2234 = 0) & q(all_66_1_2235) = all_66_0_2234)
% 53.68/15.53  											| (4319) all_0_16_16 = 0 | (all_66_0_2234 = 0 & q(all_66_1_2235) = 0)
% 53.68/15.53  											|
% 53.68/15.53  											+-Applying beta-rule and splitting (4319), into two cases.
% 53.68/15.53  											|-Branch one:
% 53.68/15.53  											| (42) all_0_16_16 = 0
% 53.68/15.53  											|
% 53.68/15.53  												| Equations (42) can reduce 71 to:
% 53.68/15.53  												| (59) $false
% 53.68/15.53  												|
% 53.68/15.53  												|-The branch is then unsatisfiable
% 53.68/15.53  											|-Branch two:
% 53.68/15.53  											| (71)  ~ (all_0_16_16 = 0)
% 53.68/15.53  											| (4323) all_66_0_2234 = 0 & q(all_66_1_2235) = 0
% 53.68/15.53  											|
% 53.68/15.53  												| Applying alpha-rule on (4323) yields:
% 53.68/15.53  												| (4324) all_66_0_2234 = 0
% 53.68/15.53  												| (4325) q(all_66_1_2235) = 0
% 53.68/15.53  												|
% 53.68/15.53  												| Instantiating formula (212) with all_66_1_2235 and discharging atoms q(all_66_1_2235) = 0, yields:
% 53.68/15.53  												| (79) $false
% 53.68/15.53  												|
% 53.68/15.53  												|-The branch is then unsatisfiable
% 53.68/15.53  							|-Branch two:
% 53.68/15.53  							| (3397) ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & s(all_0_15_15) = 0 & p(all_0_17_17) = all_0_16_16) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))
% 53.68/15.53  							|
% 53.68/15.53  								| Applying alpha-rule on (3397) yields:
% 53.68/15.53  								| (3398) (all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & s(all_0_15_15) = 0 & p(all_0_17_17) = all_0_16_16) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))
% 53.68/15.53  								| (3399) (s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))
% 53.68/15.53  								|
% 53.68/15.53  								+-Applying beta-rule and splitting (3399), into two cases.
% 53.68/15.53  								|-Branch one:
% 53.68/15.53  								| (3406) s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0)))
% 53.68/15.53  								|
% 53.68/15.53  									| Applying alpha-rule on (3406) yields:
% 53.68/15.53  									| (47) s(all_0_11_11) = all_0_10_10
% 53.68/15.53  									| (48)  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 53.68/15.53  									| (49)  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0))
% 53.68/15.53  									| (3410) (all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0))
% 53.68/15.53  									|
% 53.68/15.53  									| Instantiating formula (220) with all_0_10_10, all_0_11_11 and discharging atoms s(all_0_11_11) = all_0_10_10, yields:
% 53.68/15.53  									| (58) all_0_10_10 = 0
% 53.68/15.53  									|
% 53.68/15.53  									| From (58) and (47) follows:
% 53.68/15.53  									| (138) s(all_0_11_11) = 0
% 53.68/15.53  									|
% 53.68/15.53  									+-Applying beta-rule and splitting (3398), into two cases.
% 53.68/15.53  									|-Branch one:
% 53.68/15.53  									| (3400) all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & s(all_0_15_15) = 0 & p(all_0_17_17) = all_0_16_16
% 53.68/15.53  									|
% 53.68/15.53  										| Applying alpha-rule on (3400) yields:
% 53.68/15.53  										| (74) all_0_14_14 = 0
% 53.68/15.53  										| (71)  ~ (all_0_16_16 = 0)
% 53.68/15.53  										| (1521) s(all_0_15_15) = 0
% 53.68/15.53  										| (1962) p(all_0_17_17) = all_0_16_16
% 53.68/15.53  										|
% 53.68/15.53  										| Instantiating formula (13) with all_0_16_16, all_0_17_17 and discharging atoms p(all_0_17_17) = all_0_16_16, yields:
% 53.68/15.53  										| (1964)  ~ (all_0_0_0 = 0) | all_0_16_16 = 0
% 53.68/15.53  										|
% 53.68/15.53  										+-Applying beta-rule and splitting (3410), into two cases.
% 53.68/15.53  										|-Branch one:
% 53.68/15.53  										| (3412) all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.68/15.53  										|
% 53.68/15.53  											| Applying alpha-rule on (3412) yields:
% 53.68/15.53  											| (66) all_0_12_12 = 0
% 53.68/15.53  											| (69) p(all_0_13_13) = 0
% 53.68/15.53  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.68/15.53  											|
% 53.68/15.53  											+-Applying beta-rule and splitting (1964), into two cases.
% 53.68/15.53  											|-Branch one:
% 53.68/15.53  											| (102)  ~ (all_0_0_0 = 0)
% 53.68/15.53  											|
% 53.68/15.53  												| Instantiating formula (14) with all_0_13_13 and discharging atoms p(all_0_13_13) = 0, yields:
% 53.68/15.53  												| (63) all_0_0_0 = 0
% 53.68/15.53  												|
% 53.68/15.53  												| Equations (63) can reduce 102 to:
% 53.68/15.53  												| (59) $false
% 53.68/15.53  												|
% 53.68/15.53  												|-The branch is then unsatisfiable
% 53.68/15.53  											|-Branch two:
% 53.68/15.53  											| (63) all_0_0_0 = 0
% 53.68/15.53  											| (42) all_0_16_16 = 0
% 53.68/15.53  											|
% 53.68/15.53  												| Equations (42) can reduce 71 to:
% 53.68/15.53  												| (59) $false
% 53.68/15.53  												|
% 53.68/15.53  												|-The branch is then unsatisfiable
% 53.68/15.53  										|-Branch two:
% 53.68/15.53  										| (3418)  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0)
% 53.68/15.53  										|
% 53.68/15.53  											| Applying alpha-rule on (3418) yields:
% 53.68/15.53  											| (135)  ~ (all_0_12_12 = 0)
% 53.68/15.53  											| (3420) q(all_0_13_13) = all_0_12_12
% 53.68/15.53  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 53.68/15.53  											|
% 53.68/15.53  											| Instantiating formula (717) with all_0_12_12, all_0_13_13 and discharging atoms q(all_0_13_13) = all_0_12_12, yields:
% 53.68/15.53  											| (4357)  ? [v0] :  ? [v1] : (( ~ (all_0_12_12 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_0_12_12 = 0 | (v1 = 0 & q(v0) = 0)))
% 53.68/15.53  											|
% 53.68/15.53  											| Instantiating (4357) with all_73_0_2236, all_73_1_2237 yields:
% 53.68/15.53  											| (4358) ( ~ (all_0_12_12 = 0) | ( ~ (all_73_0_2236 = 0) & q(all_73_1_2237) = all_73_0_2236)) & (all_0_12_12 = 0 | (all_73_0_2236 = 0 & q(all_73_1_2237) = 0))
% 53.68/15.53  											|
% 53.68/15.53  											| Applying alpha-rule on (4358) yields:
% 53.68/15.53  											| (4359)  ~ (all_0_12_12 = 0) | ( ~ (all_73_0_2236 = 0) & q(all_73_1_2237) = all_73_0_2236)
% 53.68/15.53  											| (4360) all_0_12_12 = 0 | (all_73_0_2236 = 0 & q(all_73_1_2237) = 0)
% 53.68/15.53  											|
% 53.68/15.53  											+-Applying beta-rule and splitting (4360), into two cases.
% 53.68/15.53  											|-Branch one:
% 53.68/15.53  											| (66) all_0_12_12 = 0
% 53.68/15.53  											|
% 53.68/15.53  												| Equations (66) can reduce 135 to:
% 53.68/15.53  												| (59) $false
% 53.68/15.53  												|
% 53.68/15.53  												|-The branch is then unsatisfiable
% 53.68/15.53  											|-Branch two:
% 53.68/15.53  											| (135)  ~ (all_0_12_12 = 0)
% 53.68/15.53  											| (4364) all_73_0_2236 = 0 & q(all_73_1_2237) = 0
% 53.68/15.53  											|
% 53.68/15.53  												| Applying alpha-rule on (4364) yields:
% 53.68/15.53  												| (4365) all_73_0_2236 = 0
% 53.68/15.53  												| (4366) q(all_73_1_2237) = 0
% 53.68/15.53  												|
% 53.68/15.53  												| Instantiating formula (212) with all_73_1_2237 and discharging atoms q(all_73_1_2237) = 0, yields:
% 53.68/15.53  												| (79) $false
% 53.68/15.53  												|
% 53.68/15.53  												|-The branch is then unsatisfiable
% 53.68/15.53  									|-Branch two:
% 53.68/15.53  									| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 53.68/15.53  									|
% 53.68/15.53  										| Applying alpha-rule on (60) yields:
% 53.68/15.53  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.68/15.53  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 53.68/15.53  										|
% 53.68/15.53  										| Instantiating formula (62) with all_0_11_11 and discharging atoms s(all_0_11_11) = 0, yields:
% 53.68/15.53  										| (79) $false
% 53.68/15.53  										|
% 53.68/15.53  										|-The branch is then unsatisfiable
% 53.68/15.53  								|-Branch two:
% 53.68/15.53  								| (3431)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 53.68/15.53  								|
% 53.68/15.53  									| Applying alpha-rule on (3431) yields:
% 53.68/15.53  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 53.68/15.54  									| (3433) (all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 53.68/15.54  									|
% 53.68/15.54  									+-Applying beta-rule and splitting (3398), into two cases.
% 53.68/15.54  									|-Branch one:
% 53.68/15.54  									| (3400) all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & s(all_0_15_15) = 0 & p(all_0_17_17) = all_0_16_16
% 53.68/15.54  									|
% 53.68/15.54  										| Applying alpha-rule on (3400) yields:
% 53.68/15.54  										| (74) all_0_14_14 = 0
% 53.68/15.54  										| (71)  ~ (all_0_16_16 = 0)
% 53.68/15.54  										| (1521) s(all_0_15_15) = 0
% 53.68/15.54  										| (1962) p(all_0_17_17) = all_0_16_16
% 53.68/15.54  										|
% 53.68/15.54  										| Instantiating formula (84) with 0, all_0_15_15 and discharging atoms s(all_0_15_15) = 0, yields:
% 53.68/15.54  										| (278)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & s(v0) = v1)
% 53.68/15.54  										|
% 53.68/15.54  										| Instantiating (278) with all_53_0_2238, all_53_1_2239 yields:
% 53.68/15.54  										| (4381)  ~ (all_53_0_2238 = 0) & s(all_53_1_2239) = all_53_0_2238
% 53.68/15.54  										|
% 53.68/15.54  										| Applying alpha-rule on (4381) yields:
% 53.68/15.54  										| (4382)  ~ (all_53_0_2238 = 0)
% 53.68/15.54  										| (4383) s(all_53_1_2239) = all_53_0_2238
% 53.68/15.54  										|
% 53.68/15.54  										| Instantiating formula (220) with all_53_0_2238, all_53_1_2239 and discharging atoms s(all_53_1_2239) = all_53_0_2238, yields:
% 53.68/15.54  										| (4384) all_53_0_2238 = 0
% 53.68/15.54  										|
% 53.68/15.54  										| Equations (4384) can reduce 4382 to:
% 53.68/15.54  										| (59) $false
% 53.68/15.54  										|
% 53.68/15.54  										|-The branch is then unsatisfiable
% 53.68/15.54  									|-Branch two:
% 53.68/15.54  									| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 53.68/15.54  									|
% 53.68/15.54  										| Applying alpha-rule on (60) yields:
% 53.68/15.54  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.68/15.54  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 53.68/15.54  										|
% 53.68/15.54  										| Instantiating formula (61) with all_0_0_0, all_0_1_1 and discharging atoms p(all_0_1_1) = all_0_0_0, yields:
% 53.68/15.54  										| (63) all_0_0_0 = 0
% 53.68/15.54  										|
% 53.68/15.54  										| From (63) and (12) follows:
% 53.68/15.54  										| (64) p(all_0_1_1) = 0
% 53.68/15.54  										|
% 53.68/15.54  										+-Applying beta-rule and splitting (3433), into two cases.
% 53.68/15.54  										|-Branch one:
% 53.68/15.54  										| (3456) all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0
% 53.68/15.54  										|
% 53.68/15.54  											| Applying alpha-rule on (3456) yields:
% 53.68/15.54  											| (58) all_0_10_10 = 0
% 53.68/15.54  											| (135)  ~ (all_0_12_12 = 0)
% 53.68/15.54  											| (3420) q(all_0_13_13) = all_0_12_12
% 53.68/15.54  											| (521) p(all_0_11_11) = 0
% 53.68/15.54  											|
% 53.68/15.54  											| Instantiating formula (717) with all_0_12_12, all_0_13_13 and discharging atoms q(all_0_13_13) = all_0_12_12, yields:
% 53.68/15.54  											| (4357)  ? [v0] :  ? [v1] : (( ~ (all_0_12_12 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_0_12_12 = 0 | (v1 = 0 & q(v0) = 0)))
% 53.68/15.54  											|
% 53.68/15.54  											| Instantiating (4357) with all_61_0_2240, all_61_1_2241 yields:
% 53.68/15.54  											| (4397) ( ~ (all_0_12_12 = 0) | ( ~ (all_61_0_2240 = 0) & q(all_61_1_2241) = all_61_0_2240)) & (all_0_12_12 = 0 | (all_61_0_2240 = 0 & q(all_61_1_2241) = 0))
% 53.68/15.54  											|
% 53.68/15.54  											| Applying alpha-rule on (4397) yields:
% 53.68/15.54  											| (4398)  ~ (all_0_12_12 = 0) | ( ~ (all_61_0_2240 = 0) & q(all_61_1_2241) = all_61_0_2240)
% 53.68/15.54  											| (4399) all_0_12_12 = 0 | (all_61_0_2240 = 0 & q(all_61_1_2241) = 0)
% 53.68/15.54  											|
% 53.68/15.54  											+-Applying beta-rule and splitting (4399), into two cases.
% 53.68/15.54  											|-Branch one:
% 53.68/15.54  											| (66) all_0_12_12 = 0
% 53.68/15.54  											|
% 53.68/15.54  												| Equations (66) can reduce 135 to:
% 53.68/15.54  												| (59) $false
% 53.68/15.54  												|
% 53.68/15.54  												|-The branch is then unsatisfiable
% 53.68/15.54  											|-Branch two:
% 53.68/15.54  											| (135)  ~ (all_0_12_12 = 0)
% 53.68/15.54  											| (4403) all_61_0_2240 = 0 & q(all_61_1_2241) = 0
% 53.68/15.54  											|
% 53.68/15.54  												| Applying alpha-rule on (4403) yields:
% 53.68/15.54  												| (4404) all_61_0_2240 = 0
% 53.68/15.54  												| (4405) q(all_61_1_2241) = 0
% 53.68/15.54  												|
% 53.68/15.54  												| Instantiating formula (212) with all_61_1_2241 and discharging atoms q(all_61_1_2241) = 0, yields:
% 53.68/15.54  												| (79) $false
% 53.68/15.54  												|
% 53.68/15.54  												|-The branch is then unsatisfiable
% 53.68/15.54  										|-Branch two:
% 53.68/15.54  										| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 53.68/15.54  										|
% 53.68/15.54  											| Applying alpha-rule on (76) yields:
% 53.68/15.54  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.68/15.54  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 53.68/15.54  											|
% 53.68/15.54  											| Instantiating formula (78) with all_0_1_1 and discharging atoms p(all_0_1_1) = 0, yields:
% 53.68/15.54  											| (79) $false
% 53.68/15.54  											|
% 53.68/15.54  											|-The branch is then unsatisfiable
% 53.68/15.54  		|-Branch two:
% 53.68/15.54  		| (4411) ((r(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (r(v0) = 0)) & ((((all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & s(all_0_15_15) = 0 & p(all_0_17_17) = all_0_16_16) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))) | ( ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_9_9) = 0 & p(all_0_11_11) = all_0_10_10) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_12_12 = 0 & s(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_12_12 = 0) & p(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))))) & ((q(all_0_3_3) = all_0_2_2 &  ! [v0] :  ! [v1] : ( ~ (all_0_2_2 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_2_2 = 0 |  ~ (q(v0) = 0)) & ((all_0_4_4 = 0 &  ~ (all_0_6_6 = 0) & s(all_0_7_7) = all_0_6_6 & r(all_0_5_5) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_6_6 = 0 & r(all_0_7_7) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_6_6 = 0) & s(all_0_7_7) = all_0_6_6 &  ! [v0] :  ~ (r(v0) = 0)))))
% 53.68/15.54  		|
% 53.68/15.54  			| Applying alpha-rule on (4411) yields:
% 53.68/15.54  			| (4412) (r(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (r(v0) = 0)) & ((((all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & s(all_0_15_15) = 0 & p(all_0_17_17) = all_0_16_16) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))) | ( ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_9_9) = 0 & p(all_0_11_11) = all_0_10_10) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_12_12 = 0 & s(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_12_12 = 0) & p(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))))
% 53.68/15.55  			| (4413) (q(all_0_3_3) = all_0_2_2 &  ! [v0] :  ! [v1] : ( ~ (all_0_2_2 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_2_2 = 0 |  ~ (q(v0) = 0)) & ((all_0_4_4 = 0 &  ~ (all_0_6_6 = 0) & s(all_0_7_7) = all_0_6_6 & r(all_0_5_5) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_6_6 = 0 & r(all_0_7_7) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_6_6 = 0) & s(all_0_7_7) = all_0_6_6 &  ! [v0] :  ~ (r(v0) = 0))))
% 53.68/15.55  			|
% 53.68/15.55  			+-Applying beta-rule and splitting (4413), into two cases.
% 53.68/15.55  			|-Branch one:
% 53.68/15.55  			| (4414) q(all_0_3_3) = all_0_2_2 &  ! [v0] :  ! [v1] : ( ~ (all_0_2_2 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_2_2 = 0 |  ~ (q(v0) = 0)) & ((all_0_4_4 = 0 &  ~ (all_0_6_6 = 0) & s(all_0_7_7) = all_0_6_6 & r(all_0_5_5) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))
% 53.68/15.55  			|
% 53.68/15.55  				| Applying alpha-rule on (4414) yields:
% 53.68/15.55  				| (2960) q(all_0_3_3) = all_0_2_2
% 53.68/15.55  				| (2961)  ! [v0] :  ! [v1] : ( ~ (all_0_2_2 = 0) | v1 = 0 |  ~ (q(v0) = v1))
% 53.68/15.55  				| (2962)  ! [v0] : (all_0_2_2 = 0 |  ~ (q(v0) = 0))
% 53.68/15.55  				| (4418) (all_0_4_4 = 0 &  ~ (all_0_6_6 = 0) & s(all_0_7_7) = all_0_6_6 & r(all_0_5_5) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0))
% 53.68/15.55  				|
% 53.68/15.55  				+-Applying beta-rule and splitting (4412), into two cases.
% 53.68/15.55  				|-Branch one:
% 53.68/15.55  				| (4419) r(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (r(v0) = 0)) & ((((all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & s(all_0_15_15) = 0 & p(all_0_17_17) = all_0_16_16) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))
% 53.68/15.55  				|
% 53.68/15.55  					| Applying alpha-rule on (4419) yields:
% 53.68/15.55  					| (4420) r(all_0_9_9) = all_0_8_8
% 53.68/15.55  					| (4421)  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (r(v0) = v1))
% 53.68/15.55  					| (4422)  ! [v0] : (all_0_8_8 = 0 |  ~ (r(v0) = 0))
% 53.68/15.55  					| (3308) (((all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & s(all_0_15_15) = 0 & p(all_0_17_17) = all_0_16_16) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))
% 53.68/15.55  					|
% 53.68/15.55  					+-Applying beta-rule and splitting (4418), into two cases.
% 53.68/15.55  					|-Branch one:
% 53.68/15.55  					| (4424) all_0_4_4 = 0 &  ~ (all_0_6_6 = 0) & s(all_0_7_7) = all_0_6_6 & r(all_0_5_5) = 0
% 53.68/15.55  					|
% 53.68/15.55  						| Applying alpha-rule on (4424) yields:
% 53.68/15.55  						| (37) all_0_4_4 = 0
% 53.68/15.55  						| (2980)  ~ (all_0_6_6 = 0)
% 53.68/15.55  						| (4427) s(all_0_7_7) = all_0_6_6
% 53.68/15.55  						| (227) r(all_0_5_5) = 0
% 53.68/15.55  						|
% 53.68/15.55  						| Instantiating formula (4422) with all_0_5_5 and discharging atoms r(all_0_5_5) = 0, yields:
% 53.68/15.55  						| (120) all_0_8_8 = 0
% 53.68/15.55  						|
% 53.68/15.55  						+-Applying beta-rule and splitting (2954), into two cases.
% 53.68/15.55  						|-Branch one:
% 53.68/15.55  						| (2974) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & r(all_0_21_21) = all_0_20_20 & q(all_0_19_19) = 0
% 53.68/15.55  						|
% 53.68/15.55  							| Applying alpha-rule on (2974) yields:
% 53.68/15.55  							| (33) all_0_18_18 = 0
% 53.68/15.55  							| (34)  ~ (all_0_20_20 = 0)
% 53.68/15.55  							| (2977) r(all_0_21_21) = all_0_20_20
% 53.68/15.55  							| (2978) q(all_0_19_19) = 0
% 53.68/15.55  							|
% 53.68/15.55  							| Instantiating formula (4421) with all_0_20_20, all_0_21_21 and discharging atoms r(all_0_21_21) = all_0_20_20, yields:
% 53.68/15.55  							| (483)  ~ (all_0_8_8 = 0) | all_0_20_20 = 0
% 53.68/15.55  							|
% 53.68/15.55  							+-Applying beta-rule and splitting (483), into two cases.
% 53.68/15.55  							|-Branch one:
% 53.68/15.55  							| (55)  ~ (all_0_8_8 = 0)
% 53.68/15.55  							|
% 53.68/15.55  								| Equations (120) can reduce 55 to:
% 53.68/15.55  								| (59) $false
% 53.68/15.55  								|
% 53.68/15.55  								|-The branch is then unsatisfiable
% 53.68/15.55  							|-Branch two:
% 53.68/15.55  							| (120) all_0_8_8 = 0
% 53.68/15.55  							| (81) all_0_20_20 = 0
% 53.68/15.55  							|
% 53.68/15.55  								| Equations (81) can reduce 34 to:
% 53.68/15.55  								| (59) $false
% 53.68/15.55  								|
% 53.68/15.55  								|-The branch is then unsatisfiable
% 53.68/15.55  						|-Branch two:
% 53.68/15.55  						| (2985)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] :  ~ (q(v0) = 0)
% 53.68/15.55  						|
% 53.68/15.55  							| Applying alpha-rule on (2985) yields:
% 53.68/15.55  							| (41)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 53.68/15.55  							| (212)  ! [v0] :  ~ (q(v0) = 0)
% 53.68/15.55  							|
% 53.68/15.55  							+-Applying beta-rule and splitting (3308), into two cases.
% 53.68/15.55  							|-Branch one:
% 53.68/15.55  							| (3323) ((all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))))
% 53.68/15.55  							|
% 53.68/15.55  								| Applying alpha-rule on (3323) yields:
% 53.68/15.55  								| (127) (all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))
% 53.68/15.55  								| (2990) (s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0))))
% 53.68/15.56  								|
% 53.68/15.56  								+-Applying beta-rule and splitting (2990), into two cases.
% 53.68/15.56  								|-Branch one:
% 53.68/15.56  								| (2991) s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 53.68/15.56  								|
% 53.68/15.56  									| Applying alpha-rule on (2991) yields:
% 53.68/15.56  									| (130) s(all_0_13_13) = all_0_12_12
% 53.68/15.56  									| (131)  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 53.68/15.56  									| (132)  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0))
% 53.68/15.56  									| (1625) (all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 53.68/15.56  									|
% 53.68/15.56  									| Instantiating formula (131) with all_0_6_6, all_0_7_7 and discharging atoms s(all_0_7_7) = all_0_6_6, yields:
% 53.68/15.56  									| (4452)  ~ (all_0_12_12 = 0) | all_0_6_6 = 0
% 53.68/15.56  									|
% 53.68/15.56  									+-Applying beta-rule and splitting (4452), into two cases.
% 53.68/15.56  									|-Branch one:
% 53.68/15.56  									| (135)  ~ (all_0_12_12 = 0)
% 53.68/15.56  									|
% 53.68/15.56  										+-Applying beta-rule and splitting (127), into two cases.
% 53.68/15.56  										|-Branch one:
% 53.68/15.56  										| (136) all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.68/15.56  										|
% 53.68/15.56  											| Applying alpha-rule on (136) yields:
% 53.68/15.56  											| (58) all_0_10_10 = 0
% 53.68/15.56  											| (138) s(all_0_11_11) = 0
% 53.68/15.56  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.68/15.56  											|
% 53.68/15.56  											| Instantiating formula (132) with all_0_11_11 and discharging atoms s(all_0_11_11) = 0, yields:
% 53.68/15.56  											| (66) all_0_12_12 = 0
% 53.68/15.56  											|
% 53.68/15.56  											| Equations (66) can reduce 135 to:
% 53.68/15.56  											| (59) $false
% 53.68/15.56  											|
% 53.68/15.56  											|-The branch is then unsatisfiable
% 53.68/15.56  										|-Branch two:
% 53.68/15.56  										| (142)  ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0)
% 53.68/15.56  										|
% 53.68/15.56  											| Applying alpha-rule on (142) yields:
% 53.68/15.56  											| (52)  ~ (all_0_10_10 = 0)
% 53.68/15.56  											| (144) p(all_0_11_11) = all_0_10_10
% 53.68/15.56  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 53.68/15.56  											|
% 53.68/15.56  											| Instantiating formula (13) with all_0_10_10, all_0_11_11 and discharging atoms p(all_0_11_11) = all_0_10_10, yields:
% 53.68/15.56  											| (146)  ~ (all_0_0_0 = 0) | all_0_10_10 = 0
% 53.68/15.56  											|
% 53.68/15.56  											+-Applying beta-rule and splitting (1625), into two cases.
% 53.68/15.56  											|-Branch one:
% 53.68/15.56  											| (1642) all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0
% 53.68/15.56  											|
% 53.68/15.56  												| Applying alpha-rule on (1642) yields:
% 53.68/15.56  												| (74) all_0_14_14 = 0
% 53.68/15.56  												| (71)  ~ (all_0_16_16 = 0)
% 53.68/15.56  												| (23) q(all_0_17_17) = all_0_16_16
% 53.68/15.56  												| (105) p(all_0_15_15) = 0
% 53.68/15.56  												|
% 53.68/15.56  												+-Applying beta-rule and splitting (146), into two cases.
% 53.68/15.56  												|-Branch one:
% 53.68/15.56  												| (102)  ~ (all_0_0_0 = 0)
% 53.68/15.56  												|
% 53.68/15.56  													| Instantiating formula (14) with all_0_15_15 and discharging atoms p(all_0_15_15) = 0, yields:
% 53.68/15.56  													| (63) all_0_0_0 = 0
% 53.68/15.56  													|
% 53.68/15.56  													| Equations (63) can reduce 102 to:
% 53.68/15.56  													| (59) $false
% 53.68/15.56  													|
% 53.68/15.56  													|-The branch is then unsatisfiable
% 53.68/15.56  												|-Branch two:
% 53.68/15.56  												| (63) all_0_0_0 = 0
% 53.68/15.56  												| (58) all_0_10_10 = 0
% 53.68/15.56  												|
% 53.68/15.56  													| Equations (58) can reduce 52 to:
% 53.68/15.56  													| (59) $false
% 53.68/15.56  													|
% 53.68/15.56  													|-The branch is then unsatisfiable
% 53.68/15.56  											|-Branch two:
% 53.68/15.56  											| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 53.68/15.56  											|
% 53.68/15.56  												| Applying alpha-rule on (76) yields:
% 53.68/15.56  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.68/15.56  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 53.68/15.56  												|
% 53.68/15.56  												| Instantiating formula (77) with all_0_2_2, all_0_3_3 and discharging atoms q(all_0_3_3) = all_0_2_2, yields:
% 53.68/15.56  												| (39) all_0_2_2 = 0
% 53.68/15.56  												|
% 53.68/15.56  												| From (39) and (2960) follows:
% 53.68/15.56  												| (40) q(all_0_3_3) = 0
% 53.68/15.56  												|
% 53.68/15.56  												| Instantiating formula (212) with all_0_3_3 and discharging atoms q(all_0_3_3) = 0, yields:
% 53.68/15.56  												| (79) $false
% 53.68/15.56  												|
% 53.68/15.56  												|-The branch is then unsatisfiable
% 53.68/15.56  									|-Branch two:
% 53.68/15.56  									| (66) all_0_12_12 = 0
% 53.68/15.56  									| (54) all_0_6_6 = 0
% 53.68/15.56  									|
% 53.68/15.56  										| Equations (54) can reduce 2980 to:
% 53.68/15.56  										| (59) $false
% 53.68/15.56  										|
% 53.68/15.56  										|-The branch is then unsatisfiable
% 53.68/15.56  								|-Branch two:
% 53.68/15.56  								| (3025)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))
% 53.68/15.56  								|
% 53.68/15.56  									| Applying alpha-rule on (3025) yields:
% 53.68/15.56  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 53.68/15.56  									| (1590) (all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0))
% 53.68/15.56  									|
% 53.68/15.56  									| Instantiating formula (84) with all_0_6_6, all_0_7_7 and discharging atoms s(all_0_7_7) = all_0_6_6, yields:
% 53.68/15.56  									| (4488)  ? [v0] :  ? [v1] : (( ~ (all_0_6_6 = 0) | ( ~ (v1 = 0) & s(v0) = v1)) & (all_0_6_6 = 0 | (v1 = 0 & s(v0) = 0)))
% 53.68/15.56  									|
% 53.68/15.56  									| Instantiating (4488) with all_59_0_2242, all_59_1_2243 yields:
% 53.68/15.56  									| (4489) ( ~ (all_0_6_6 = 0) | ( ~ (all_59_0_2242 = 0) & s(all_59_1_2243) = all_59_0_2242)) & (all_0_6_6 = 0 | (all_59_0_2242 = 0 & s(all_59_1_2243) = 0))
% 53.68/15.56  									|
% 53.68/15.56  									| Applying alpha-rule on (4489) yields:
% 53.68/15.56  									| (4490)  ~ (all_0_6_6 = 0) | ( ~ (all_59_0_2242 = 0) & s(all_59_1_2243) = all_59_0_2242)
% 53.68/15.56  									| (4491) all_0_6_6 = 0 | (all_59_0_2242 = 0 & s(all_59_1_2243) = 0)
% 53.68/15.56  									|
% 53.68/15.56  									+-Applying beta-rule and splitting (4491), into two cases.
% 53.68/15.56  									|-Branch one:
% 53.68/15.56  									| (54) all_0_6_6 = 0
% 53.68/15.56  									|
% 53.68/15.56  										| Equations (54) can reduce 2980 to:
% 53.68/15.56  										| (59) $false
% 53.68/15.56  										|
% 53.68/15.56  										|-The branch is then unsatisfiable
% 53.68/15.56  									|-Branch two:
% 53.68/15.56  									| (2980)  ~ (all_0_6_6 = 0)
% 53.68/15.56  									| (4495) all_59_0_2242 = 0 & s(all_59_1_2243) = 0
% 53.68/15.56  									|
% 53.68/15.56  										| Applying alpha-rule on (4495) yields:
% 53.68/15.56  										| (4496) all_59_0_2242 = 0
% 53.68/15.56  										| (4497) s(all_59_1_2243) = 0
% 53.68/15.56  										|
% 53.68/15.56  										+-Applying beta-rule and splitting (127), into two cases.
% 53.68/15.56  										|-Branch one:
% 53.68/15.56  										| (136) all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.68/15.56  										|
% 53.68/15.56  											| Applying alpha-rule on (136) yields:
% 53.68/15.56  											| (58) all_0_10_10 = 0
% 53.68/15.56  											| (138) s(all_0_11_11) = 0
% 53.68/15.56  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.68/15.56  											|
% 53.68/15.56  											| Instantiating formula (61) with all_0_0_0, all_0_1_1 and discharging atoms p(all_0_1_1) = all_0_0_0, yields:
% 53.68/15.56  											| (63) all_0_0_0 = 0
% 53.68/15.56  											|
% 53.68/15.56  											| From (63) and (12) follows:
% 53.68/15.56  											| (64) p(all_0_1_1) = 0
% 53.68/15.56  											|
% 53.68/15.56  											+-Applying beta-rule and splitting (1590), into two cases.
% 53.68/15.56  											|-Branch one:
% 53.68/15.56  											| (1599) all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.68/15.56  											|
% 53.68/15.56  												| Applying alpha-rule on (1599) yields:
% 53.68/15.56  												| (42) all_0_16_16 = 0
% 53.68/15.56  												| (1601) p(all_0_17_17) = 0
% 53.68/15.56  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.68/15.56  												|
% 53.68/15.56  												| Instantiating formula (77) with all_0_2_2, all_0_3_3 and discharging atoms q(all_0_3_3) = all_0_2_2, yields:
% 53.68/15.56  												| (39) all_0_2_2 = 0
% 53.68/15.56  												|
% 53.68/15.56  												| From (39) and (2960) follows:
% 53.68/15.56  												| (40) q(all_0_3_3) = 0
% 53.68/15.56  												|
% 53.68/15.56  												| Instantiating formula (212) with all_0_3_3 and discharging atoms q(all_0_3_3) = 0, yields:
% 53.68/15.56  												| (79) $false
% 53.68/15.56  												|
% 53.68/15.56  												|-The branch is then unsatisfiable
% 53.68/15.56  											|-Branch two:
% 53.68/15.56  											| (1609)  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)
% 53.68/15.56  											|
% 53.68/15.56  												| Applying alpha-rule on (1609) yields:
% 53.68/15.56  												| (71)  ~ (all_0_16_16 = 0)
% 53.68/15.56  												| (23) q(all_0_17_17) = all_0_16_16
% 53.68/15.56  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 53.68/15.56  												|
% 53.68/15.56  												| Instantiating formula (78) with all_0_1_1 and discharging atoms p(all_0_1_1) = 0, yields:
% 53.68/15.56  												| (79) $false
% 53.68/15.56  												|
% 53.68/15.56  												|-The branch is then unsatisfiable
% 53.68/15.56  										|-Branch two:
% 53.68/15.56  										| (142)  ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0)
% 53.68/15.56  										|
% 53.68/15.56  											| Applying alpha-rule on (142) yields:
% 53.68/15.56  											| (52)  ~ (all_0_10_10 = 0)
% 53.68/15.56  											| (144) p(all_0_11_11) = all_0_10_10
% 53.68/15.56  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 53.68/15.56  											|
% 53.68/15.56  											| Instantiating formula (62) with all_59_1_2243 and discharging atoms s(all_59_1_2243) = 0, yields:
% 53.68/15.56  											| (79) $false
% 53.68/15.56  											|
% 53.68/15.56  											|-The branch is then unsatisfiable
% 53.68/15.56  							|-Branch two:
% 53.68/15.56  							| (3397) ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & s(all_0_15_15) = 0 & p(all_0_17_17) = all_0_16_16) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))
% 53.68/15.56  							|
% 53.68/15.56  								| Applying alpha-rule on (3397) yields:
% 53.68/15.56  								| (3398) (all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & s(all_0_15_15) = 0 & p(all_0_17_17) = all_0_16_16) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))
% 53.68/15.56  								| (3399) (s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))
% 53.68/15.56  								|
% 53.68/15.56  								+-Applying beta-rule and splitting (3399), into two cases.
% 53.68/15.56  								|-Branch one:
% 53.68/15.56  								| (3406) s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0)))
% 53.68/15.56  								|
% 53.68/15.56  									| Applying alpha-rule on (3406) yields:
% 53.68/15.56  									| (47) s(all_0_11_11) = all_0_10_10
% 53.68/15.56  									| (48)  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 53.68/15.56  									| (49)  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0))
% 53.68/15.56  									| (3410) (all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0))
% 53.68/15.57  									|
% 53.68/15.57  									| Instantiating formula (48) with all_0_6_6, all_0_7_7 and discharging atoms s(all_0_7_7) = all_0_6_6, yields:
% 53.68/15.57  									| (4529)  ~ (all_0_10_10 = 0) | all_0_6_6 = 0
% 53.68/15.57  									|
% 53.68/15.57  									+-Applying beta-rule and splitting (4529), into two cases.
% 53.68/15.57  									|-Branch one:
% 53.68/15.57  									| (52)  ~ (all_0_10_10 = 0)
% 53.68/15.57  									|
% 53.68/15.57  										+-Applying beta-rule and splitting (3398), into two cases.
% 53.68/15.57  										|-Branch one:
% 53.68/15.57  										| (3400) all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & s(all_0_15_15) = 0 & p(all_0_17_17) = all_0_16_16
% 53.68/15.57  										|
% 53.68/15.57  											| Applying alpha-rule on (3400) yields:
% 53.68/15.57  											| (74) all_0_14_14 = 0
% 53.68/15.57  											| (71)  ~ (all_0_16_16 = 0)
% 53.68/15.57  											| (1521) s(all_0_15_15) = 0
% 53.68/15.57  											| (1962) p(all_0_17_17) = all_0_16_16
% 53.68/15.57  											|
% 53.68/15.57  											| Instantiating formula (49) with all_0_15_15 and discharging atoms s(all_0_15_15) = 0, yields:
% 53.68/15.57  											| (58) all_0_10_10 = 0
% 53.68/15.57  											|
% 53.68/15.57  											| Equations (58) can reduce 52 to:
% 53.68/15.57  											| (59) $false
% 53.68/15.57  											|
% 53.68/15.57  											|-The branch is then unsatisfiable
% 53.68/15.57  										|-Branch two:
% 53.68/15.57  										| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 53.68/15.57  										|
% 53.68/15.57  											| Applying alpha-rule on (60) yields:
% 53.68/15.57  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.68/15.57  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 53.68/15.57  											|
% 53.68/15.57  											| Instantiating formula (61) with all_0_0_0, all_0_1_1 and discharging atoms p(all_0_1_1) = all_0_0_0, yields:
% 53.68/15.57  											| (63) all_0_0_0 = 0
% 53.68/15.57  											|
% 53.68/15.57  											| From (63) and (12) follows:
% 53.68/15.57  											| (64) p(all_0_1_1) = 0
% 53.68/15.57  											|
% 53.68/15.57  											+-Applying beta-rule and splitting (3410), into two cases.
% 53.68/15.57  											|-Branch one:
% 53.68/15.57  											| (3412) all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.68/15.57  											|
% 53.68/15.57  												| Applying alpha-rule on (3412) yields:
% 53.68/15.57  												| (66) all_0_12_12 = 0
% 53.68/15.57  												| (69) p(all_0_13_13) = 0
% 53.68/15.57  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.68/15.57  												|
% 53.68/15.57  												| Instantiating formula (77) with all_0_2_2, all_0_3_3 and discharging atoms q(all_0_3_3) = all_0_2_2, yields:
% 53.68/15.57  												| (39) all_0_2_2 = 0
% 53.68/15.57  												|
% 53.68/15.57  												| From (39) and (2960) follows:
% 53.68/15.57  												| (40) q(all_0_3_3) = 0
% 53.68/15.57  												|
% 53.68/15.57  												| Instantiating formula (212) with all_0_3_3 and discharging atoms q(all_0_3_3) = 0, yields:
% 53.68/15.57  												| (79) $false
% 53.68/15.57  												|
% 53.68/15.57  												|-The branch is then unsatisfiable
% 53.68/15.57  											|-Branch two:
% 53.68/15.57  											| (3418)  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0)
% 53.68/15.57  											|
% 53.68/15.57  												| Applying alpha-rule on (3418) yields:
% 53.68/15.57  												| (135)  ~ (all_0_12_12 = 0)
% 53.68/15.57  												| (3420) q(all_0_13_13) = all_0_12_12
% 53.68/15.57  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 53.68/15.57  												|
% 53.68/15.57  												| Instantiating formula (78) with all_0_1_1 and discharging atoms p(all_0_1_1) = 0, yields:
% 53.68/15.57  												| (79) $false
% 53.68/15.57  												|
% 53.68/15.57  												|-The branch is then unsatisfiable
% 53.68/15.57  									|-Branch two:
% 53.68/15.57  									| (58) all_0_10_10 = 0
% 53.68/15.57  									| (54) all_0_6_6 = 0
% 53.68/15.57  									|
% 53.68/15.57  										| Equations (54) can reduce 2980 to:
% 53.68/15.57  										| (59) $false
% 53.68/15.57  										|
% 53.68/15.57  										|-The branch is then unsatisfiable
% 53.68/15.57  								|-Branch two:
% 53.68/15.57  								| (3431)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 53.68/15.57  								|
% 53.68/15.57  									| Applying alpha-rule on (3431) yields:
% 53.68/15.57  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 53.68/15.57  									| (3433) (all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 53.68/15.57  									|
% 53.68/15.57  									| Instantiating formula (84) with all_0_6_6, all_0_7_7 and discharging atoms s(all_0_7_7) = all_0_6_6, yields:
% 53.68/15.57  									| (4488)  ? [v0] :  ? [v1] : (( ~ (all_0_6_6 = 0) | ( ~ (v1 = 0) & s(v0) = v1)) & (all_0_6_6 = 0 | (v1 = 0 & s(v0) = 0)))
% 53.68/15.57  									|
% 53.68/15.57  									| Instantiating (4488) with all_59_0_2252, all_59_1_2253 yields:
% 53.68/15.57  									| (4562) ( ~ (all_0_6_6 = 0) | ( ~ (all_59_0_2252 = 0) & s(all_59_1_2253) = all_59_0_2252)) & (all_0_6_6 = 0 | (all_59_0_2252 = 0 & s(all_59_1_2253) = 0))
% 53.68/15.57  									|
% 53.68/15.57  									| Applying alpha-rule on (4562) yields:
% 53.68/15.57  									| (4563)  ~ (all_0_6_6 = 0) | ( ~ (all_59_0_2252 = 0) & s(all_59_1_2253) = all_59_0_2252)
% 53.68/15.57  									| (4564) all_0_6_6 = 0 | (all_59_0_2252 = 0 & s(all_59_1_2253) = 0)
% 53.68/15.57  									|
% 53.68/15.57  									+-Applying beta-rule and splitting (4564), into two cases.
% 53.68/15.57  									|-Branch one:
% 53.68/15.57  									| (54) all_0_6_6 = 0
% 53.68/15.57  									|
% 53.68/15.57  										| Equations (54) can reduce 2980 to:
% 53.68/15.57  										| (59) $false
% 53.68/15.57  										|
% 53.68/15.57  										|-The branch is then unsatisfiable
% 53.68/15.57  									|-Branch two:
% 53.68/15.57  									| (2980)  ~ (all_0_6_6 = 0)
% 53.68/15.57  									| (4568) all_59_0_2252 = 0 & s(all_59_1_2253) = 0
% 53.68/15.57  									|
% 53.68/15.57  										| Applying alpha-rule on (4568) yields:
% 53.68/15.57  										| (4569) all_59_0_2252 = 0
% 53.68/15.57  										| (4570) s(all_59_1_2253) = 0
% 53.68/15.57  										|
% 53.68/15.57  										+-Applying beta-rule and splitting (3398), into two cases.
% 53.68/15.57  										|-Branch one:
% 53.68/15.57  										| (3400) all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & s(all_0_15_15) = 0 & p(all_0_17_17) = all_0_16_16
% 53.68/15.57  										|
% 53.68/15.57  											| Applying alpha-rule on (3400) yields:
% 53.68/15.57  											| (74) all_0_14_14 = 0
% 53.68/15.57  											| (71)  ~ (all_0_16_16 = 0)
% 53.68/15.57  											| (1521) s(all_0_15_15) = 0
% 53.68/15.57  											| (1962) p(all_0_17_17) = all_0_16_16
% 53.68/15.57  											|
% 53.68/15.57  											| Instantiating formula (13) with all_0_16_16, all_0_17_17 and discharging atoms p(all_0_17_17) = all_0_16_16, yields:
% 53.68/15.57  											| (1964)  ~ (all_0_0_0 = 0) | all_0_16_16 = 0
% 53.68/15.57  											|
% 53.68/15.57  											+-Applying beta-rule and splitting (1964), into two cases.
% 53.68/15.57  											|-Branch one:
% 53.68/15.57  											| (102)  ~ (all_0_0_0 = 0)
% 53.68/15.57  											|
% 53.68/15.57  												+-Applying beta-rule and splitting (3433), into two cases.
% 53.68/15.57  												|-Branch one:
% 53.68/15.57  												| (3456) all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0
% 53.68/15.57  												|
% 53.68/15.57  													| Applying alpha-rule on (3456) yields:
% 53.68/15.57  													| (58) all_0_10_10 = 0
% 53.68/15.57  													| (135)  ~ (all_0_12_12 = 0)
% 53.68/15.57  													| (3420) q(all_0_13_13) = all_0_12_12
% 53.68/15.57  													| (521) p(all_0_11_11) = 0
% 53.68/15.57  													|
% 53.68/15.57  													| Instantiating formula (14) with all_0_11_11 and discharging atoms p(all_0_11_11) = 0, yields:
% 53.68/15.57  													| (63) all_0_0_0 = 0
% 53.68/15.57  													|
% 53.68/15.57  													| Equations (63) can reduce 102 to:
% 53.68/15.57  													| (59) $false
% 53.68/15.57  													|
% 53.68/15.57  													|-The branch is then unsatisfiable
% 53.68/15.57  												|-Branch two:
% 53.68/15.57  												| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 53.68/15.57  												|
% 53.68/15.57  													| Applying alpha-rule on (76) yields:
% 53.68/15.57  													| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.68/15.57  													| (78)  ! [v0] :  ~ (p(v0) = 0)
% 53.68/15.57  													|
% 53.68/15.57  													| Instantiating formula (77) with all_0_2_2, all_0_3_3 and discharging atoms q(all_0_3_3) = all_0_2_2, yields:
% 53.68/15.57  													| (39) all_0_2_2 = 0
% 53.68/15.57  													|
% 53.68/15.57  													| From (39) and (2960) follows:
% 53.68/15.57  													| (40) q(all_0_3_3) = 0
% 53.68/15.57  													|
% 53.68/15.57  													| Instantiating formula (212) with all_0_3_3 and discharging atoms q(all_0_3_3) = 0, yields:
% 53.68/15.57  													| (79) $false
% 53.68/15.57  													|
% 53.68/15.57  													|-The branch is then unsatisfiable
% 53.68/15.57  											|-Branch two:
% 53.68/15.57  											| (63) all_0_0_0 = 0
% 53.68/15.57  											| (42) all_0_16_16 = 0
% 53.68/15.57  											|
% 53.68/15.57  												| Equations (42) can reduce 71 to:
% 53.68/15.57  												| (59) $false
% 53.68/15.57  												|
% 53.68/15.57  												|-The branch is then unsatisfiable
% 53.68/15.57  										|-Branch two:
% 53.68/15.57  										| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 53.68/15.57  										|
% 53.68/15.57  											| Applying alpha-rule on (60) yields:
% 53.68/15.57  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.68/15.57  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 53.68/15.57  											|
% 53.68/15.57  											| Instantiating formula (62) with all_59_1_2253 and discharging atoms s(all_59_1_2253) = 0, yields:
% 53.68/15.57  											| (79) $false
% 53.68/15.57  											|
% 53.68/15.57  											|-The branch is then unsatisfiable
% 53.68/15.57  					|-Branch two:
% 53.68/15.57  					| (219)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)
% 53.68/15.57  					|
% 53.68/15.57  						| Applying alpha-rule on (219) yields:
% 53.68/15.57  						| (220)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))
% 53.68/15.57  						| (221)  ! [v0] :  ~ (r(v0) = 0)
% 53.68/15.57  						|
% 53.68/15.57  						+-Applying beta-rule and splitting (2954), into two cases.
% 53.68/15.57  						|-Branch one:
% 53.68/15.57  						| (2974) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & r(all_0_21_21) = all_0_20_20 & q(all_0_19_19) = 0
% 53.68/15.57  						|
% 53.68/15.57  							| Applying alpha-rule on (2974) yields:
% 53.68/15.57  							| (33) all_0_18_18 = 0
% 53.68/15.57  							| (34)  ~ (all_0_20_20 = 0)
% 53.68/15.57  							| (2977) r(all_0_21_21) = all_0_20_20
% 53.68/15.57  							| (2978) q(all_0_19_19) = 0
% 53.68/15.57  							|
% 53.68/15.57  							| Instantiating formula (2962) with all_0_19_19 and discharging atoms q(all_0_19_19) = 0, yields:
% 53.68/15.57  							| (39) all_0_2_2 = 0
% 53.68/15.57  							|
% 53.68/15.57  							+-Applying beta-rule and splitting (3308), into two cases.
% 53.68/15.57  							|-Branch one:
% 53.68/15.57  							| (3323) ((all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))))
% 53.68/15.58  							|
% 53.68/15.58  								| Applying alpha-rule on (3323) yields:
% 53.68/15.58  								| (127) (all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))
% 53.68/15.58  								| (2990) (s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0))))
% 53.68/15.58  								|
% 53.68/15.58  								+-Applying beta-rule and splitting (2990), into two cases.
% 53.68/15.58  								|-Branch one:
% 53.68/15.58  								| (2991) s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 53.68/15.58  								|
% 53.68/15.58  									| Applying alpha-rule on (2991) yields:
% 53.68/15.58  									| (130) s(all_0_13_13) = all_0_12_12
% 53.68/15.58  									| (131)  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 53.68/15.58  									| (132)  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0))
% 53.68/15.58  									| (1625) (all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 53.68/15.58  									|
% 53.68/15.58  									| Instantiating formula (220) with all_0_12_12, all_0_13_13 and discharging atoms s(all_0_13_13) = all_0_12_12, yields:
% 53.68/15.58  									| (66) all_0_12_12 = 0
% 53.68/15.58  									|
% 53.68/15.58  									| From (66) and (130) follows:
% 53.68/15.58  									| (310) s(all_0_13_13) = 0
% 53.68/15.58  									|
% 53.68/15.58  									+-Applying beta-rule and splitting (127), into two cases.
% 53.68/15.58  									|-Branch one:
% 53.68/15.58  									| (136) all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.68/15.58  									|
% 53.68/15.58  										| Applying alpha-rule on (136) yields:
% 53.68/15.58  										| (58) all_0_10_10 = 0
% 53.68/15.58  										| (138) s(all_0_11_11) = 0
% 53.68/15.58  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.68/15.58  										|
% 53.68/15.58  										| Instantiating formula (61) with all_0_0_0, all_0_1_1 and discharging atoms p(all_0_1_1) = all_0_0_0, yields:
% 53.68/15.58  										| (63) all_0_0_0 = 0
% 53.68/15.58  										|
% 53.68/15.58  										| From (63) and (12) follows:
% 53.68/15.58  										| (64) p(all_0_1_1) = 0
% 53.68/15.58  										|
% 53.68/15.58  										+-Applying beta-rule and splitting (1625), into two cases.
% 53.68/15.58  										|-Branch one:
% 53.68/15.58  										| (1642) all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0
% 53.68/15.58  										|
% 53.68/15.58  											| Applying alpha-rule on (1642) yields:
% 53.68/15.58  											| (74) all_0_14_14 = 0
% 53.68/15.58  											| (71)  ~ (all_0_16_16 = 0)
% 53.68/15.58  											| (23) q(all_0_17_17) = all_0_16_16
% 53.68/15.58  											| (105) p(all_0_15_15) = 0
% 53.68/15.58  											|
% 53.68/15.58  											| Instantiating formula (2961) with all_0_16_16, all_0_17_17 and discharging atoms q(all_0_17_17) = all_0_16_16, yields:
% 53.68/15.58  											| (3161)  ~ (all_0_2_2 = 0) | all_0_16_16 = 0
% 53.68/15.58  											|
% 53.68/15.58  											+-Applying beta-rule and splitting (3161), into two cases.
% 53.68/15.58  											|-Branch one:
% 53.68/15.58  											| (210)  ~ (all_0_2_2 = 0)
% 53.68/15.58  											|
% 53.68/15.58  												| Equations (39) can reduce 210 to:
% 53.68/15.58  												| (59) $false
% 53.68/15.58  												|
% 53.68/15.58  												|-The branch is then unsatisfiable
% 53.68/15.58  											|-Branch two:
% 53.68/15.58  											| (39) all_0_2_2 = 0
% 53.68/15.58  											| (42) all_0_16_16 = 0
% 53.68/15.58  											|
% 53.68/15.58  												| Equations (42) can reduce 71 to:
% 53.68/15.58  												| (59) $false
% 53.68/15.58  												|
% 53.68/15.58  												|-The branch is then unsatisfiable
% 53.68/15.58  										|-Branch two:
% 53.68/15.58  										| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 53.68/15.58  										|
% 53.68/15.58  											| Applying alpha-rule on (76) yields:
% 53.68/15.58  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.68/15.58  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 53.68/15.58  											|
% 53.68/15.58  											| Instantiating formula (78) with all_0_1_1 and discharging atoms p(all_0_1_1) = 0, yields:
% 53.68/15.58  											| (79) $false
% 53.68/15.58  											|
% 53.68/15.58  											|-The branch is then unsatisfiable
% 53.68/15.58  									|-Branch two:
% 53.68/15.58  									| (142)  ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0)
% 53.68/15.58  									|
% 53.68/15.58  										| Applying alpha-rule on (142) yields:
% 53.68/15.58  										| (52)  ~ (all_0_10_10 = 0)
% 53.68/15.58  										| (144) p(all_0_11_11) = all_0_10_10
% 53.68/15.58  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 53.68/15.58  										|
% 53.68/15.58  										| Instantiating formula (62) with all_0_13_13 and discharging atoms s(all_0_13_13) = 0, yields:
% 53.68/15.58  										| (79) $false
% 53.68/15.58  										|
% 53.68/15.58  										|-The branch is then unsatisfiable
% 53.68/15.58  								|-Branch two:
% 53.68/15.58  								| (3025)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))
% 53.68/15.58  								|
% 53.68/15.58  									| Applying alpha-rule on (3025) yields:
% 53.68/15.58  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 53.68/15.58  									| (1590) (all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0))
% 53.68/15.58  									|
% 53.68/15.58  									+-Applying beta-rule and splitting (127), into two cases.
% 53.68/15.58  									|-Branch one:
% 53.68/15.58  									| (136) all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.68/15.58  									|
% 53.68/15.58  										| Applying alpha-rule on (136) yields:
% 53.68/15.58  										| (58) all_0_10_10 = 0
% 53.68/15.58  										| (138) s(all_0_11_11) = 0
% 53.68/15.58  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.68/15.58  										|
% 53.68/15.58  										| Instantiating formula (84) with 0, all_0_11_11 and discharging atoms s(all_0_11_11) = 0, yields:
% 53.68/15.58  										| (278)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & s(v0) = v1)
% 53.68/15.58  										|
% 53.68/15.58  										| Instantiating (278) with all_74_0_2262, all_74_1_2263 yields:
% 53.68/15.58  										| (4651)  ~ (all_74_0_2262 = 0) & s(all_74_1_2263) = all_74_0_2262
% 53.68/15.58  										|
% 53.68/15.58  										| Applying alpha-rule on (4651) yields:
% 53.68/15.58  										| (4652)  ~ (all_74_0_2262 = 0)
% 53.68/15.58  										| (4653) s(all_74_1_2263) = all_74_0_2262
% 53.68/15.58  										|
% 53.68/15.58  										| Instantiating formula (220) with all_74_0_2262, all_74_1_2263 and discharging atoms s(all_74_1_2263) = all_74_0_2262, yields:
% 53.68/15.58  										| (4654) all_74_0_2262 = 0
% 53.68/15.58  										|
% 53.68/15.58  										| Equations (4654) can reduce 4652 to:
% 53.68/15.58  										| (59) $false
% 53.68/15.58  										|
% 53.68/15.58  										|-The branch is then unsatisfiable
% 53.68/15.58  									|-Branch two:
% 53.68/15.58  									| (142)  ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0)
% 53.68/15.58  									|
% 53.68/15.58  										| Applying alpha-rule on (142) yields:
% 53.68/15.58  										| (52)  ~ (all_0_10_10 = 0)
% 53.68/15.58  										| (144) p(all_0_11_11) = all_0_10_10
% 53.68/15.58  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 53.68/15.58  										|
% 53.68/15.58  										| Instantiating formula (13) with all_0_10_10, all_0_11_11 and discharging atoms p(all_0_11_11) = all_0_10_10, yields:
% 53.68/15.58  										| (146)  ~ (all_0_0_0 = 0) | all_0_10_10 = 0
% 53.68/15.58  										|
% 53.68/15.58  										+-Applying beta-rule and splitting (1590), into two cases.
% 53.68/15.58  										|-Branch one:
% 53.68/15.58  										| (1599) all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.68/15.58  										|
% 53.68/15.58  											| Applying alpha-rule on (1599) yields:
% 53.68/15.58  											| (42) all_0_16_16 = 0
% 53.68/15.58  											| (1601) p(all_0_17_17) = 0
% 53.68/15.58  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.68/15.58  											|
% 53.68/15.58  											+-Applying beta-rule and splitting (146), into two cases.
% 53.68/15.58  											|-Branch one:
% 53.68/15.58  											| (102)  ~ (all_0_0_0 = 0)
% 53.68/15.58  											|
% 53.68/15.58  												| Instantiating formula (14) with all_0_17_17 and discharging atoms p(all_0_17_17) = 0, yields:
% 53.68/15.58  												| (63) all_0_0_0 = 0
% 53.68/15.58  												|
% 53.68/15.58  												| Equations (63) can reduce 102 to:
% 53.68/15.58  												| (59) $false
% 53.68/15.58  												|
% 53.68/15.58  												|-The branch is then unsatisfiable
% 53.68/15.58  											|-Branch two:
% 53.68/15.58  											| (63) all_0_0_0 = 0
% 53.68/15.58  											| (58) all_0_10_10 = 0
% 53.68/15.58  											|
% 53.68/15.58  												| Equations (58) can reduce 52 to:
% 53.68/15.58  												| (59) $false
% 53.68/15.58  												|
% 53.68/15.58  												|-The branch is then unsatisfiable
% 53.68/15.58  										|-Branch two:
% 53.68/15.58  										| (1609)  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)
% 53.68/15.58  										|
% 53.68/15.58  											| Applying alpha-rule on (1609) yields:
% 53.68/15.58  											| (71)  ~ (all_0_16_16 = 0)
% 53.68/15.58  											| (23) q(all_0_17_17) = all_0_16_16
% 53.68/15.58  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 53.68/15.58  											|
% 53.68/15.58  											| Instantiating formula (2961) with all_0_16_16, all_0_17_17 and discharging atoms q(all_0_17_17) = all_0_16_16, yields:
% 53.68/15.58  											| (3161)  ~ (all_0_2_2 = 0) | all_0_16_16 = 0
% 53.68/15.58  											|
% 53.68/15.58  											+-Applying beta-rule and splitting (3161), into two cases.
% 53.68/15.58  											|-Branch one:
% 53.68/15.58  											| (210)  ~ (all_0_2_2 = 0)
% 53.68/15.58  											|
% 53.68/15.58  												| Equations (39) can reduce 210 to:
% 53.68/15.58  												| (59) $false
% 53.68/15.58  												|
% 53.68/15.58  												|-The branch is then unsatisfiable
% 53.68/15.58  											|-Branch two:
% 53.68/15.58  											| (39) all_0_2_2 = 0
% 53.68/15.58  											| (42) all_0_16_16 = 0
% 53.68/15.58  											|
% 53.68/15.58  												| Equations (42) can reduce 71 to:
% 53.68/15.58  												| (59) $false
% 53.68/15.58  												|
% 53.68/15.58  												|-The branch is then unsatisfiable
% 53.68/15.58  							|-Branch two:
% 53.68/15.58  							| (3397) ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & s(all_0_15_15) = 0 & p(all_0_17_17) = all_0_16_16) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))
% 53.68/15.58  							|
% 53.68/15.58  								| Applying alpha-rule on (3397) yields:
% 53.68/15.58  								| (3398) (all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & s(all_0_15_15) = 0 & p(all_0_17_17) = all_0_16_16) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))
% 53.68/15.58  								| (3399) (s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))
% 53.68/15.58  								|
% 53.87/15.58  								+-Applying beta-rule and splitting (3399), into two cases.
% 53.87/15.58  								|-Branch one:
% 53.87/15.58  								| (3406) s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0)))
% 53.87/15.58  								|
% 53.87/15.59  									| Applying alpha-rule on (3406) yields:
% 53.87/15.59  									| (47) s(all_0_11_11) = all_0_10_10
% 53.87/15.59  									| (48)  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 53.87/15.59  									| (49)  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0))
% 53.87/15.59  									| (3410) (all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0))
% 53.87/15.59  									|
% 53.87/15.59  									| Instantiating formula (220) with all_0_10_10, all_0_11_11 and discharging atoms s(all_0_11_11) = all_0_10_10, yields:
% 53.87/15.59  									| (58) all_0_10_10 = 0
% 53.87/15.59  									|
% 53.87/15.59  									| From (58) and (47) follows:
% 53.87/15.59  									| (138) s(all_0_11_11) = 0
% 53.87/15.59  									|
% 53.87/15.59  									+-Applying beta-rule and splitting (3398), into two cases.
% 53.87/15.59  									|-Branch one:
% 53.87/15.59  									| (3400) all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & s(all_0_15_15) = 0 & p(all_0_17_17) = all_0_16_16
% 53.87/15.59  									|
% 53.87/15.59  										| Applying alpha-rule on (3400) yields:
% 53.87/15.59  										| (74) all_0_14_14 = 0
% 53.87/15.59  										| (71)  ~ (all_0_16_16 = 0)
% 53.87/15.59  										| (1521) s(all_0_15_15) = 0
% 53.87/15.59  										| (1962) p(all_0_17_17) = all_0_16_16
% 53.87/15.59  										|
% 53.87/15.59  										| Instantiating formula (13) with all_0_16_16, all_0_17_17 and discharging atoms p(all_0_17_17) = all_0_16_16, yields:
% 53.87/15.59  										| (1964)  ~ (all_0_0_0 = 0) | all_0_16_16 = 0
% 53.87/15.59  										|
% 53.87/15.59  										+-Applying beta-rule and splitting (3410), into two cases.
% 53.87/15.59  										|-Branch one:
% 53.87/15.59  										| (3412) all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.87/15.59  										|
% 53.87/15.59  											| Applying alpha-rule on (3412) yields:
% 53.87/15.59  											| (66) all_0_12_12 = 0
% 53.87/15.59  											| (69) p(all_0_13_13) = 0
% 53.87/15.59  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.87/15.59  											|
% 53.87/15.59  											+-Applying beta-rule and splitting (1964), into two cases.
% 53.87/15.59  											|-Branch one:
% 53.87/15.59  											| (102)  ~ (all_0_0_0 = 0)
% 53.87/15.59  											|
% 53.87/15.59  												| Instantiating formula (14) with all_0_13_13 and discharging atoms p(all_0_13_13) = 0, yields:
% 53.87/15.59  												| (63) all_0_0_0 = 0
% 53.87/15.59  												|
% 53.87/15.59  												| Equations (63) can reduce 102 to:
% 53.87/15.59  												| (59) $false
% 53.87/15.59  												|
% 53.87/15.59  												|-The branch is then unsatisfiable
% 53.87/15.59  											|-Branch two:
% 53.87/15.59  											| (63) all_0_0_0 = 0
% 53.87/15.59  											| (42) all_0_16_16 = 0
% 53.87/15.59  											|
% 53.87/15.59  												| Equations (42) can reduce 71 to:
% 53.87/15.59  												| (59) $false
% 53.87/15.59  												|
% 53.87/15.59  												|-The branch is then unsatisfiable
% 53.87/15.59  										|-Branch two:
% 53.87/15.59  										| (3418)  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0)
% 53.87/15.59  										|
% 53.87/15.59  											| Applying alpha-rule on (3418) yields:
% 53.87/15.59  											| (135)  ~ (all_0_12_12 = 0)
% 53.87/15.59  											| (3420) q(all_0_13_13) = all_0_12_12
% 53.87/15.59  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 53.87/15.59  											|
% 53.87/15.59  											| Instantiating formula (2961) with all_0_12_12, all_0_13_13 and discharging atoms q(all_0_13_13) = all_0_12_12, yields:
% 53.87/15.59  											| (3422)  ~ (all_0_2_2 = 0) | all_0_12_12 = 0
% 53.87/15.59  											|
% 53.87/15.59  											+-Applying beta-rule and splitting (3422), into two cases.
% 53.87/15.59  											|-Branch one:
% 53.87/15.59  											| (210)  ~ (all_0_2_2 = 0)
% 53.87/15.59  											|
% 53.87/15.59  												| Equations (39) can reduce 210 to:
% 53.87/15.59  												| (59) $false
% 53.87/15.59  												|
% 53.87/15.59  												|-The branch is then unsatisfiable
% 53.87/15.59  											|-Branch two:
% 53.87/15.59  											| (39) all_0_2_2 = 0
% 53.87/15.59  											| (66) all_0_12_12 = 0
% 53.87/15.59  											|
% 53.87/15.59  												| Equations (66) can reduce 135 to:
% 53.87/15.59  												| (59) $false
% 53.87/15.59  												|
% 53.87/15.59  												|-The branch is then unsatisfiable
% 53.87/15.59  									|-Branch two:
% 53.87/15.59  									| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 53.87/15.59  									|
% 53.87/15.59  										| Applying alpha-rule on (60) yields:
% 53.87/15.59  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.87/15.59  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 53.87/15.59  										|
% 53.87/15.59  										| Instantiating formula (62) with all_0_11_11 and discharging atoms s(all_0_11_11) = 0, yields:
% 53.87/15.59  										| (79) $false
% 53.87/15.59  										|
% 53.87/15.59  										|-The branch is then unsatisfiable
% 53.87/15.59  								|-Branch two:
% 53.87/15.59  								| (3431)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 53.87/15.59  								|
% 53.87/15.59  									| Applying alpha-rule on (3431) yields:
% 53.87/15.59  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 53.87/15.59  									| (3433) (all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 53.87/15.59  									|
% 53.87/15.59  									+-Applying beta-rule and splitting (3398), into two cases.
% 53.87/15.59  									|-Branch one:
% 53.87/15.59  									| (3400) all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & s(all_0_15_15) = 0 & p(all_0_17_17) = all_0_16_16
% 53.87/15.59  									|
% 53.87/15.59  										| Applying alpha-rule on (3400) yields:
% 53.87/15.59  										| (74) all_0_14_14 = 0
% 53.87/15.59  										| (71)  ~ (all_0_16_16 = 0)
% 53.87/15.59  										| (1521) s(all_0_15_15) = 0
% 53.87/15.59  										| (1962) p(all_0_17_17) = all_0_16_16
% 53.87/15.59  										|
% 53.87/15.59  										| Instantiating formula (84) with 0, all_0_15_15 and discharging atoms s(all_0_15_15) = 0, yields:
% 53.87/15.59  										| (278)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & s(v0) = v1)
% 53.87/15.59  										|
% 53.87/15.59  										| Instantiating (278) with all_72_0_2264, all_72_1_2265 yields:
% 53.87/15.59  										| (4730)  ~ (all_72_0_2264 = 0) & s(all_72_1_2265) = all_72_0_2264
% 53.87/15.59  										|
% 53.87/15.59  										| Applying alpha-rule on (4730) yields:
% 53.87/15.59  										| (4731)  ~ (all_72_0_2264 = 0)
% 53.87/15.59  										| (4732) s(all_72_1_2265) = all_72_0_2264
% 53.87/15.59  										|
% 53.87/15.59  										| Instantiating formula (220) with all_72_0_2264, all_72_1_2265 and discharging atoms s(all_72_1_2265) = all_72_0_2264, yields:
% 53.87/15.59  										| (4733) all_72_0_2264 = 0
% 53.87/15.59  										|
% 53.87/15.59  										| Equations (4733) can reduce 4731 to:
% 53.87/15.59  										| (59) $false
% 53.87/15.59  										|
% 53.87/15.59  										|-The branch is then unsatisfiable
% 53.87/15.59  									|-Branch two:
% 53.87/15.59  									| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 53.87/15.59  									|
% 53.87/15.59  										| Applying alpha-rule on (60) yields:
% 53.87/15.59  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.87/15.59  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 53.87/15.59  										|
% 53.87/15.59  										| Instantiating formula (61) with all_0_0_0, all_0_1_1 and discharging atoms p(all_0_1_1) = all_0_0_0, yields:
% 53.87/15.59  										| (63) all_0_0_0 = 0
% 53.87/15.59  										|
% 53.87/15.59  										| From (63) and (12) follows:
% 53.87/15.59  										| (64) p(all_0_1_1) = 0
% 53.87/15.59  										|
% 53.87/15.59  										+-Applying beta-rule and splitting (3433), into two cases.
% 53.87/15.59  										|-Branch one:
% 53.87/15.59  										| (3456) all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0
% 53.87/15.59  										|
% 53.87/15.59  											| Applying alpha-rule on (3456) yields:
% 53.87/15.59  											| (58) all_0_10_10 = 0
% 53.87/15.59  											| (135)  ~ (all_0_12_12 = 0)
% 53.87/15.59  											| (3420) q(all_0_13_13) = all_0_12_12
% 53.87/15.59  											| (521) p(all_0_11_11) = 0
% 53.87/15.59  											|
% 53.87/15.59  											| Instantiating formula (2961) with all_0_12_12, all_0_13_13 and discharging atoms q(all_0_13_13) = all_0_12_12, yields:
% 53.87/15.59  											| (3422)  ~ (all_0_2_2 = 0) | all_0_12_12 = 0
% 53.87/15.59  											|
% 53.87/15.59  											+-Applying beta-rule and splitting (3422), into two cases.
% 53.87/15.59  											|-Branch one:
% 53.87/15.59  											| (210)  ~ (all_0_2_2 = 0)
% 53.87/15.59  											|
% 53.87/15.59  												| Equations (39) can reduce 210 to:
% 53.87/15.59  												| (59) $false
% 53.87/15.59  												|
% 53.87/15.59  												|-The branch is then unsatisfiable
% 53.87/15.59  											|-Branch two:
% 53.87/15.59  											| (39) all_0_2_2 = 0
% 53.87/15.59  											| (66) all_0_12_12 = 0
% 53.87/15.59  											|
% 53.87/15.59  												| Equations (66) can reduce 135 to:
% 53.87/15.59  												| (59) $false
% 53.87/15.59  												|
% 53.87/15.59  												|-The branch is then unsatisfiable
% 53.87/15.59  										|-Branch two:
% 53.87/15.59  										| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 53.87/15.59  										|
% 53.87/15.59  											| Applying alpha-rule on (76) yields:
% 53.87/15.59  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.87/15.59  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 53.87/15.59  											|
% 53.87/15.59  											| Instantiating formula (78) with all_0_1_1 and discharging atoms p(all_0_1_1) = 0, yields:
% 53.87/15.59  											| (79) $false
% 53.87/15.59  											|
% 53.87/15.59  											|-The branch is then unsatisfiable
% 53.87/15.59  						|-Branch two:
% 53.87/15.59  						| (2985)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] :  ~ (q(v0) = 0)
% 53.87/15.59  						|
% 53.87/15.59  							| Applying alpha-rule on (2985) yields:
% 53.87/15.59  							| (41)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 53.87/15.59  							| (212)  ! [v0] :  ~ (q(v0) = 0)
% 53.87/15.59  							|
% 53.87/15.59  							| Instantiating formula (41) with all_0_8_8, all_0_9_9 and discharging atoms r(all_0_9_9) = all_0_8_8, yields:
% 53.87/15.59  							| (120) all_0_8_8 = 0
% 53.87/15.59  							|
% 53.87/15.59  							| From (120) and (4420) follows:
% 53.87/15.59  							| (2195) r(all_0_9_9) = 0
% 53.87/15.59  							|
% 53.87/15.59  							| Instantiating formula (221) with all_0_9_9 and discharging atoms r(all_0_9_9) = 0, yields:
% 53.87/15.59  							| (79) $false
% 53.87/15.59  							|
% 53.87/15.59  							|-The branch is then unsatisfiable
% 53.87/15.60  				|-Branch two:
% 53.87/15.60  				| (4761)  ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_9_9) = 0 & p(all_0_11_11) = all_0_10_10) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_12_12 = 0 & s(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_12_12 = 0) & p(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))
% 53.91/15.60  				|
% 53.91/15.60  					| Applying alpha-rule on (4761) yields:
% 53.91/15.60  					| (370)  ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0))))
% 53.91/15.60  					| (2968) (((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_9_9) = 0 & p(all_0_11_11) = all_0_10_10) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_12_12 = 0 & s(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_12_12 = 0) & p(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))
% 53.91/15.60  					|
% 53.91/15.60  					+-Applying beta-rule and splitting (4418), into two cases.
% 53.91/15.60  					|-Branch one:
% 53.91/15.60  					| (4424) all_0_4_4 = 0 &  ~ (all_0_6_6 = 0) & s(all_0_7_7) = all_0_6_6 & r(all_0_5_5) = 0
% 53.91/15.60  					|
% 53.91/15.60  						| Applying alpha-rule on (4424) yields:
% 53.91/15.60  						| (37) all_0_4_4 = 0
% 53.91/15.60  						| (2980)  ~ (all_0_6_6 = 0)
% 53.91/15.60  						| (4427) s(all_0_7_7) = all_0_6_6
% 53.91/15.60  						| (227) r(all_0_5_5) = 0
% 53.91/15.60  						|
% 53.91/15.60  						| Instantiating formula (370) with 0, all_0_5_5 and discharging atoms r(all_0_5_5) = 0, yields:
% 53.91/15.60  						| (377)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & r(v0) = v1)
% 53.91/15.60  						|
% 53.91/15.60  						| Instantiating (377) with all_44_0_2266, all_44_1_2267 yields:
% 53.91/15.60  						| (4770)  ~ (all_44_0_2266 = 0) & r(all_44_1_2267) = all_44_0_2266
% 53.91/15.60  						|
% 53.91/15.60  						| Applying alpha-rule on (4770) yields:
% 53.91/15.60  						| (4771)  ~ (all_44_0_2266 = 0)
% 53.91/15.60  						| (4772) r(all_44_1_2267) = all_44_0_2266
% 53.91/15.60  						|
% 53.91/15.60  						+-Applying beta-rule and splitting (2954), into two cases.
% 53.91/15.60  						|-Branch one:
% 53.91/15.60  						| (2974) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & r(all_0_21_21) = all_0_20_20 & q(all_0_19_19) = 0
% 53.91/15.60  						|
% 53.91/15.60  							| Applying alpha-rule on (2974) yields:
% 53.91/15.60  							| (33) all_0_18_18 = 0
% 53.91/15.60  							| (34)  ~ (all_0_20_20 = 0)
% 53.91/15.60  							| (2977) r(all_0_21_21) = all_0_20_20
% 53.91/15.60  							| (2978) q(all_0_19_19) = 0
% 53.91/15.60  							|
% 53.91/15.60  							| Instantiating formula (2962) with all_0_19_19 and discharging atoms q(all_0_19_19) = 0, yields:
% 53.91/15.60  							| (39) all_0_2_2 = 0
% 53.91/15.60  							|
% 53.91/15.60  							+-Applying beta-rule and splitting (2968), into two cases.
% 53.91/15.60  							|-Branch one:
% 53.91/15.60  							| (2988) ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_9_9) = 0 & p(all_0_11_11) = all_0_10_10) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))))
% 53.91/15.60  							|
% 53.91/15.60  								| Applying alpha-rule on (2988) yields:
% 53.91/15.60  								| (2989) (all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_9_9) = 0 & p(all_0_11_11) = all_0_10_10) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))
% 53.91/15.60  								| (2990) (s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0))))
% 53.91/15.60  								|
% 53.91/15.60  								+-Applying beta-rule and splitting (2989), into two cases.
% 53.91/15.60  								|-Branch one:
% 53.91/15.60  								| (2998) all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_9_9) = 0 & p(all_0_11_11) = all_0_10_10
% 53.91/15.60  								|
% 53.91/15.60  									| Applying alpha-rule on (2998) yields:
% 53.91/15.60  									| (120) all_0_8_8 = 0
% 53.91/15.60  									| (52)  ~ (all_0_10_10 = 0)
% 53.91/15.60  									| (396) s(all_0_9_9) = 0
% 53.91/15.60  									| (144) p(all_0_11_11) = all_0_10_10
% 53.91/15.60  									|
% 53.91/15.60  									| Instantiating formula (13) with all_0_10_10, all_0_11_11 and discharging atoms p(all_0_11_11) = all_0_10_10, yields:
% 53.91/15.60  									| (146)  ~ (all_0_0_0 = 0) | all_0_10_10 = 0
% 53.91/15.60  									|
% 53.91/15.60  									+-Applying beta-rule and splitting (2990), into two cases.
% 53.91/15.60  									|-Branch one:
% 53.91/15.60  									| (2991) s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 53.91/15.60  									|
% 53.91/15.60  										| Applying alpha-rule on (2991) yields:
% 53.91/15.60  										| (130) s(all_0_13_13) = all_0_12_12
% 53.91/15.60  										| (131)  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 53.91/15.60  										| (132)  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0))
% 53.91/15.60  										| (1625) (all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 53.91/15.60  										|
% 53.91/15.60  										| Instantiating formula (131) with all_0_6_6, all_0_7_7 and discharging atoms s(all_0_7_7) = all_0_6_6, yields:
% 53.91/15.60  										| (4452)  ~ (all_0_12_12 = 0) | all_0_6_6 = 0
% 53.91/15.60  										|
% 53.91/15.60  										| Instantiating formula (132) with all_0_9_9 and discharging atoms s(all_0_9_9) = 0, yields:
% 53.91/15.60  										| (66) all_0_12_12 = 0
% 53.91/15.60  										|
% 53.91/15.60  										+-Applying beta-rule and splitting (4452), into two cases.
% 53.91/15.60  										|-Branch one:
% 53.91/15.60  										| (135)  ~ (all_0_12_12 = 0)
% 53.91/15.60  										|
% 53.91/15.60  											| Equations (66) can reduce 135 to:
% 53.91/15.60  											| (59) $false
% 53.91/15.60  											|
% 53.91/15.60  											|-The branch is then unsatisfiable
% 53.91/15.60  										|-Branch two:
% 53.91/15.60  										| (66) all_0_12_12 = 0
% 53.91/15.60  										| (54) all_0_6_6 = 0
% 53.91/15.60  										|
% 53.91/15.60  											| Equations (54) can reduce 2980 to:
% 53.91/15.60  											| (59) $false
% 53.91/15.60  											|
% 53.91/15.60  											|-The branch is then unsatisfiable
% 53.91/15.60  									|-Branch two:
% 53.91/15.60  									| (3025)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))
% 53.91/15.60  									|
% 53.91/15.60  										| Applying alpha-rule on (3025) yields:
% 53.91/15.60  										| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 53.91/15.60  										| (1590) (all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0))
% 53.91/15.61  										|
% 53.91/15.61  										+-Applying beta-rule and splitting (146), into two cases.
% 53.91/15.61  										|-Branch one:
% 53.91/15.61  										| (102)  ~ (all_0_0_0 = 0)
% 53.91/15.61  										|
% 53.91/15.61  											+-Applying beta-rule and splitting (1590), into two cases.
% 53.91/15.61  											|-Branch one:
% 53.91/15.61  											| (1599) all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.91/15.61  											|
% 53.91/15.61  												| Applying alpha-rule on (1599) yields:
% 53.91/15.61  												| (42) all_0_16_16 = 0
% 53.91/15.61  												| (1601) p(all_0_17_17) = 0
% 53.91/15.61  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.91/15.61  												|
% 53.91/15.61  												| Instantiating formula (14) with all_0_17_17 and discharging atoms p(all_0_17_17) = 0, yields:
% 53.91/15.61  												| (63) all_0_0_0 = 0
% 53.91/15.61  												|
% 53.91/15.61  												| Equations (63) can reduce 102 to:
% 53.91/15.61  												| (59) $false
% 53.91/15.61  												|
% 53.91/15.61  												|-The branch is then unsatisfiable
% 53.91/15.61  											|-Branch two:
% 53.91/15.61  											| (1609)  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)
% 53.91/15.61  											|
% 53.91/15.61  												| Applying alpha-rule on (1609) yields:
% 53.91/15.61  												| (71)  ~ (all_0_16_16 = 0)
% 53.91/15.61  												| (23) q(all_0_17_17) = all_0_16_16
% 53.91/15.61  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 53.91/15.61  												|
% 53.91/15.61  												| Instantiating formula (2961) with all_0_16_16, all_0_17_17 and discharging atoms q(all_0_17_17) = all_0_16_16, yields:
% 53.91/15.61  												| (3161)  ~ (all_0_2_2 = 0) | all_0_16_16 = 0
% 53.91/15.61  												|
% 53.91/15.61  												+-Applying beta-rule and splitting (3161), into two cases.
% 53.91/15.61  												|-Branch one:
% 53.91/15.61  												| (210)  ~ (all_0_2_2 = 0)
% 53.91/15.61  												|
% 53.91/15.61  													| Equations (39) can reduce 210 to:
% 53.91/15.61  													| (59) $false
% 53.91/15.61  													|
% 53.91/15.61  													|-The branch is then unsatisfiable
% 53.91/15.61  												|-Branch two:
% 53.91/15.61  												| (39) all_0_2_2 = 0
% 53.91/15.61  												| (42) all_0_16_16 = 0
% 53.91/15.61  												|
% 53.91/15.61  													| Equations (42) can reduce 71 to:
% 53.91/15.61  													| (59) $false
% 53.91/15.61  													|
% 53.91/15.61  													|-The branch is then unsatisfiable
% 53.91/15.61  										|-Branch two:
% 53.91/15.61  										| (63) all_0_0_0 = 0
% 53.91/15.61  										| (58) all_0_10_10 = 0
% 53.91/15.61  										|
% 53.91/15.61  											| Equations (58) can reduce 52 to:
% 53.91/15.61  											| (59) $false
% 53.91/15.61  											|
% 53.91/15.61  											|-The branch is then unsatisfiable
% 53.91/15.61  								|-Branch two:
% 53.91/15.61  								| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 53.91/15.61  								|
% 53.91/15.61  									| Applying alpha-rule on (60) yields:
% 53.91/15.61  									| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.91/15.61  									| (62)  ! [v0] :  ~ (s(v0) = 0)
% 53.91/15.61  									|
% 53.91/15.61  									| Instantiating formula (61) with all_0_0_0, all_0_1_1 and discharging atoms p(all_0_1_1) = all_0_0_0, yields:
% 53.91/15.61  									| (63) all_0_0_0 = 0
% 53.91/15.61  									|
% 53.91/15.61  									| From (63) and (12) follows:
% 53.91/15.61  									| (64) p(all_0_1_1) = 0
% 53.91/15.61  									|
% 53.91/15.61  									+-Applying beta-rule and splitting (2990), into two cases.
% 53.91/15.61  									|-Branch one:
% 53.91/15.61  									| (2991) s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 53.91/15.61  									|
% 53.91/15.61  										| Applying alpha-rule on (2991) yields:
% 53.91/15.61  										| (130) s(all_0_13_13) = all_0_12_12
% 53.91/15.61  										| (131)  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 53.91/15.61  										| (132)  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0))
% 53.91/15.61  										| (1625) (all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 53.91/15.61  										|
% 53.91/15.61  										+-Applying beta-rule and splitting (1625), into two cases.
% 53.91/15.61  										|-Branch one:
% 53.91/15.61  										| (1642) all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0
% 53.91/15.61  										|
% 53.91/15.61  											| Applying alpha-rule on (1642) yields:
% 53.91/15.61  											| (74) all_0_14_14 = 0
% 53.91/15.61  											| (71)  ~ (all_0_16_16 = 0)
% 53.91/15.61  											| (23) q(all_0_17_17) = all_0_16_16
% 53.91/15.61  											| (105) p(all_0_15_15) = 0
% 53.91/15.61  											|
% 53.91/15.61  											| Instantiating formula (2961) with all_0_16_16, all_0_17_17 and discharging atoms q(all_0_17_17) = all_0_16_16, yields:
% 53.91/15.61  											| (3161)  ~ (all_0_2_2 = 0) | all_0_16_16 = 0
% 53.91/15.61  											|
% 53.91/15.61  											+-Applying beta-rule and splitting (3161), into two cases.
% 53.91/15.61  											|-Branch one:
% 53.91/15.61  											| (210)  ~ (all_0_2_2 = 0)
% 53.91/15.61  											|
% 53.91/15.61  												| Equations (39) can reduce 210 to:
% 53.91/15.61  												| (59) $false
% 53.91/15.61  												|
% 53.91/15.61  												|-The branch is then unsatisfiable
% 53.91/15.61  											|-Branch two:
% 53.91/15.61  											| (39) all_0_2_2 = 0
% 53.91/15.61  											| (42) all_0_16_16 = 0
% 53.91/15.61  											|
% 53.91/15.61  												| Equations (42) can reduce 71 to:
% 53.91/15.61  												| (59) $false
% 53.91/15.61  												|
% 53.91/15.61  												|-The branch is then unsatisfiable
% 53.91/15.61  										|-Branch two:
% 53.91/15.61  										| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 53.94/15.61  										|
% 53.94/15.61  											| Applying alpha-rule on (76) yields:
% 53.94/15.61  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.94/15.61  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 53.94/15.61  											|
% 53.94/15.61  											| Instantiating formula (78) with all_0_1_1 and discharging atoms p(all_0_1_1) = 0, yields:
% 53.94/15.61  											| (79) $false
% 53.94/15.61  											|
% 53.94/15.61  											|-The branch is then unsatisfiable
% 53.94/15.61  									|-Branch two:
% 53.94/15.61  									| (3025)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))
% 53.94/15.61  									|
% 53.94/15.61  										| Applying alpha-rule on (3025) yields:
% 53.94/15.61  										| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 53.94/15.61  										| (1590) (all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0))
% 53.94/15.61  										|
% 53.94/15.61  										| Instantiating formula (84) with all_0_6_6, all_0_7_7 and discharging atoms s(all_0_7_7) = all_0_6_6, yields:
% 53.94/15.61  										| (4488)  ? [v0] :  ? [v1] : (( ~ (all_0_6_6 = 0) | ( ~ (v1 = 0) & s(v0) = v1)) & (all_0_6_6 = 0 | (v1 = 0 & s(v0) = 0)))
% 53.94/15.61  										|
% 53.94/15.61  										| Instantiating (4488) with all_280_0_2428, all_280_1_2429 yields:
% 53.94/15.61  										| (4852) ( ~ (all_0_6_6 = 0) | ( ~ (all_280_0_2428 = 0) & s(all_280_1_2429) = all_280_0_2428)) & (all_0_6_6 = 0 | (all_280_0_2428 = 0 & s(all_280_1_2429) = 0))
% 53.94/15.61  										|
% 53.94/15.61  										| Applying alpha-rule on (4852) yields:
% 53.94/15.61  										| (4853)  ~ (all_0_6_6 = 0) | ( ~ (all_280_0_2428 = 0) & s(all_280_1_2429) = all_280_0_2428)
% 53.94/15.61  										| (4854) all_0_6_6 = 0 | (all_280_0_2428 = 0 & s(all_280_1_2429) = 0)
% 53.94/15.61  										|
% 53.94/15.61  										+-Applying beta-rule and splitting (4854), into two cases.
% 53.94/15.61  										|-Branch one:
% 53.94/15.61  										| (54) all_0_6_6 = 0
% 53.94/15.61  										|
% 53.94/15.61  											| Equations (54) can reduce 2980 to:
% 53.94/15.61  											| (59) $false
% 53.94/15.61  											|
% 53.94/15.61  											|-The branch is then unsatisfiable
% 53.94/15.61  										|-Branch two:
% 53.94/15.61  										| (2980)  ~ (all_0_6_6 = 0)
% 53.94/15.61  										| (4858) all_280_0_2428 = 0 & s(all_280_1_2429) = 0
% 53.94/15.61  										|
% 53.94/15.61  											| Applying alpha-rule on (4858) yields:
% 53.94/15.61  											| (4859) all_280_0_2428 = 0
% 53.94/15.61  											| (4860) s(all_280_1_2429) = 0
% 53.94/15.61  											|
% 53.94/15.61  											| Instantiating formula (62) with all_280_1_2429 and discharging atoms s(all_280_1_2429) = 0, yields:
% 53.94/15.61  											| (79) $false
% 53.94/15.61  											|
% 53.94/15.61  											|-The branch is then unsatisfiable
% 53.94/15.61  							|-Branch two:
% 53.94/15.61  							| (3056) ((all_0_12_12 = 0 & s(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_12_12 = 0) & p(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))
% 53.94/15.61  							|
% 53.94/15.61  								| Applying alpha-rule on (3056) yields:
% 53.94/15.61  								| (3057) (all_0_12_12 = 0 & s(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_12_12 = 0) & p(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (s(v0) = 0))
% 53.94/15.61  								| (1585) (s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))
% 53.94/15.61  								|
% 53.94/15.61  								+-Applying beta-rule and splitting (3057), into two cases.
% 53.94/15.61  								|-Branch one:
% 53.94/15.61  								| (3066) all_0_12_12 = 0 & s(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.94/15.61  								|
% 53.94/15.61  									| Applying alpha-rule on (3066) yields:
% 53.94/15.61  									| (66) all_0_12_12 = 0
% 53.94/15.61  									| (310) s(all_0_13_13) = 0
% 53.94/15.61  									| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.94/15.61  									|
% 53.94/15.61  									| Instantiating formula (61) with all_0_0_0, all_0_1_1 and discharging atoms p(all_0_1_1) = all_0_0_0, yields:
% 53.94/15.61  									| (63) all_0_0_0 = 0
% 53.94/15.61  									|
% 53.94/15.61  									| From (63) and (12) follows:
% 53.94/15.61  									| (64) p(all_0_1_1) = 0
% 53.94/15.61  									|
% 53.94/15.61  									+-Applying beta-rule and splitting (1585), into two cases.
% 53.94/15.61  									|-Branch one:
% 53.94/15.61  									| (1586) s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))
% 53.94/15.61  									|
% 53.94/15.61  										| Applying alpha-rule on (1586) yields:
% 53.94/15.62  										| (1587) s(all_0_15_15) = all_0_14_14
% 53.94/15.62  										| (1588)  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 53.94/15.62  										| (1589)  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0))
% 53.94/15.62  										| (1590) (all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0))
% 53.94/15.62  										|
% 53.94/15.62  										| Instantiating formula (1588) with all_0_6_6, all_0_7_7 and discharging atoms s(all_0_7_7) = all_0_6_6, yields:
% 53.94/15.62  										| (4876)  ~ (all_0_14_14 = 0) | all_0_6_6 = 0
% 53.94/15.62  										|
% 53.94/15.62  										| Instantiating formula (1589) with all_0_13_13 and discharging atoms s(all_0_13_13) = 0, yields:
% 53.94/15.62  										| (74) all_0_14_14 = 0
% 53.94/15.62  										|
% 53.94/15.62  										+-Applying beta-rule and splitting (4876), into two cases.
% 53.94/15.62  										|-Branch one:
% 53.94/15.62  										| (67)  ~ (all_0_14_14 = 0)
% 53.94/15.62  										|
% 53.94/15.62  											| Equations (74) can reduce 67 to:
% 53.94/15.62  											| (59) $false
% 53.94/15.62  											|
% 53.94/15.62  											|-The branch is then unsatisfiable
% 53.94/15.62  										|-Branch two:
% 53.94/15.62  										| (74) all_0_14_14 = 0
% 53.94/15.62  										| (54) all_0_6_6 = 0
% 53.94/15.62  										|
% 53.94/15.62  											| Equations (54) can reduce 2980 to:
% 53.94/15.62  											| (59) $false
% 53.94/15.62  											|
% 53.94/15.62  											|-The branch is then unsatisfiable
% 53.94/15.62  									|-Branch two:
% 53.94/15.62  									| (1623)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 53.94/15.62  									|
% 53.94/15.62  										| Applying alpha-rule on (1623) yields:
% 53.94/15.62  										| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 53.94/15.62  										| (1625) (all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 53.94/15.62  										|
% 53.94/15.62  										+-Applying beta-rule and splitting (1625), into two cases.
% 53.94/15.62  										|-Branch one:
% 53.94/15.62  										| (1642) all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0
% 53.94/15.62  										|
% 53.94/15.62  											| Applying alpha-rule on (1642) yields:
% 53.94/15.62  											| (74) all_0_14_14 = 0
% 53.94/15.62  											| (71)  ~ (all_0_16_16 = 0)
% 53.94/15.62  											| (23) q(all_0_17_17) = all_0_16_16
% 53.94/15.62  											| (105) p(all_0_15_15) = 0
% 53.94/15.62  											|
% 53.94/15.62  											| Instantiating formula (2961) with all_0_16_16, all_0_17_17 and discharging atoms q(all_0_17_17) = all_0_16_16, yields:
% 53.94/15.62  											| (3161)  ~ (all_0_2_2 = 0) | all_0_16_16 = 0
% 53.94/15.62  											|
% 53.94/15.62  											+-Applying beta-rule and splitting (3161), into two cases.
% 53.94/15.62  											|-Branch one:
% 53.94/15.62  											| (210)  ~ (all_0_2_2 = 0)
% 53.94/15.62  											|
% 53.94/15.62  												| Equations (39) can reduce 210 to:
% 53.94/15.62  												| (59) $false
% 53.94/15.62  												|
% 53.94/15.62  												|-The branch is then unsatisfiable
% 53.94/15.62  											|-Branch two:
% 53.94/15.62  											| (39) all_0_2_2 = 0
% 53.94/15.62  											| (42) all_0_16_16 = 0
% 53.94/15.62  											|
% 53.94/15.62  												| Equations (42) can reduce 71 to:
% 53.94/15.62  												| (59) $false
% 53.94/15.62  												|
% 53.94/15.62  												|-The branch is then unsatisfiable
% 53.94/15.62  										|-Branch two:
% 53.94/15.62  										| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 53.94/15.62  										|
% 53.94/15.62  											| Applying alpha-rule on (76) yields:
% 53.94/15.62  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.94/15.62  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 53.94/15.62  											|
% 53.94/15.62  											| Instantiating formula (78) with all_0_1_1 and discharging atoms p(all_0_1_1) = 0, yields:
% 53.94/15.62  											| (79) $false
% 53.94/15.62  											|
% 53.94/15.62  											|-The branch is then unsatisfiable
% 53.94/15.62  								|-Branch two:
% 53.94/15.62  								| (3084)  ~ (all_0_12_12 = 0) & p(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (s(v0) = 0)
% 53.94/15.62  								|
% 53.94/15.62  									| Applying alpha-rule on (3084) yields:
% 53.94/15.62  									| (135)  ~ (all_0_12_12 = 0)
% 53.94/15.62  									| (3086) p(all_0_13_13) = all_0_12_12
% 53.94/15.62  									| (62)  ! [v0] :  ~ (s(v0) = 0)
% 53.94/15.62  									|
% 53.94/15.62  									| Instantiating formula (13) with all_0_12_12, all_0_13_13 and discharging atoms p(all_0_13_13) = all_0_12_12, yields:
% 53.94/15.62  									| (3106)  ~ (all_0_0_0 = 0) | all_0_12_12 = 0
% 53.94/15.62  									|
% 53.94/15.62  									+-Applying beta-rule and splitting (1585), into two cases.
% 53.94/15.62  									|-Branch one:
% 53.94/15.62  									| (1586) s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))
% 53.94/15.62  									|
% 53.94/15.62  										| Applying alpha-rule on (1586) yields:
% 53.94/15.62  										| (1587) s(all_0_15_15) = all_0_14_14
% 53.94/15.62  										| (1588)  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 53.94/15.62  										| (1589)  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0))
% 53.94/15.62  										| (1590) (all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0))
% 53.94/15.62  										|
% 53.94/15.62  										+-Applying beta-rule and splitting (3106), into two cases.
% 53.94/15.62  										|-Branch one:
% 53.94/15.62  										| (102)  ~ (all_0_0_0 = 0)
% 53.94/15.62  										|
% 53.94/15.62  											+-Applying beta-rule and splitting (1590), into two cases.
% 53.94/15.62  											|-Branch one:
% 53.94/15.62  											| (1599) all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.94/15.62  											|
% 53.94/15.62  												| Applying alpha-rule on (1599) yields:
% 53.94/15.62  												| (42) all_0_16_16 = 0
% 53.94/15.62  												| (1601) p(all_0_17_17) = 0
% 53.94/15.62  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.94/15.62  												|
% 53.94/15.62  												| Instantiating formula (14) with all_0_17_17 and discharging atoms p(all_0_17_17) = 0, yields:
% 53.94/15.62  												| (63) all_0_0_0 = 0
% 53.94/15.62  												|
% 53.94/15.62  												| Equations (63) can reduce 102 to:
% 53.94/15.62  												| (59) $false
% 53.94/15.62  												|
% 53.94/15.62  												|-The branch is then unsatisfiable
% 53.94/15.62  											|-Branch two:
% 53.94/15.62  											| (1609)  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)
% 53.94/15.62  											|
% 53.94/15.62  												| Applying alpha-rule on (1609) yields:
% 53.94/15.62  												| (71)  ~ (all_0_16_16 = 0)
% 53.94/15.62  												| (23) q(all_0_17_17) = all_0_16_16
% 53.94/15.62  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 53.94/15.62  												|
% 53.94/15.62  												| Instantiating formula (2961) with all_0_16_16, all_0_17_17 and discharging atoms q(all_0_17_17) = all_0_16_16, yields:
% 53.94/15.62  												| (3161)  ~ (all_0_2_2 = 0) | all_0_16_16 = 0
% 53.94/15.62  												|
% 53.94/15.62  												+-Applying beta-rule and splitting (3161), into two cases.
% 53.94/15.62  												|-Branch one:
% 53.94/15.62  												| (210)  ~ (all_0_2_2 = 0)
% 53.94/15.62  												|
% 53.94/15.62  													| Equations (39) can reduce 210 to:
% 53.94/15.62  													| (59) $false
% 53.94/15.62  													|
% 53.94/15.62  													|-The branch is then unsatisfiable
% 53.94/15.62  												|-Branch two:
% 53.94/15.62  												| (39) all_0_2_2 = 0
% 53.94/15.62  												| (42) all_0_16_16 = 0
% 53.94/15.62  												|
% 53.94/15.62  													| Equations (42) can reduce 71 to:
% 53.94/15.62  													| (59) $false
% 53.94/15.62  													|
% 53.94/15.62  													|-The branch is then unsatisfiable
% 53.94/15.62  										|-Branch two:
% 53.94/15.62  										| (63) all_0_0_0 = 0
% 53.94/15.62  										| (66) all_0_12_12 = 0
% 53.94/15.62  										|
% 53.94/15.62  											| Equations (66) can reduce 135 to:
% 53.94/15.62  											| (59) $false
% 53.94/15.62  											|
% 53.94/15.62  											|-The branch is then unsatisfiable
% 53.94/15.62  									|-Branch two:
% 53.94/15.62  									| (1623)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 53.94/15.62  									|
% 53.94/15.62  										| Applying alpha-rule on (1623) yields:
% 53.94/15.62  										| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 53.94/15.62  										| (1625) (all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 53.94/15.62  										|
% 53.94/15.62  										| Instantiating formula (84) with all_0_6_6, all_0_7_7 and discharging atoms s(all_0_7_7) = all_0_6_6, yields:
% 53.94/15.62  										| (4488)  ? [v0] :  ? [v1] : (( ~ (all_0_6_6 = 0) | ( ~ (v1 = 0) & s(v0) = v1)) & (all_0_6_6 = 0 | (v1 = 0 & s(v0) = 0)))
% 53.94/15.62  										|
% 53.94/15.62  										| Instantiating (4488) with all_280_0_2560, all_280_1_2561 yields:
% 53.94/15.62  										| (4935) ( ~ (all_0_6_6 = 0) | ( ~ (all_280_0_2560 = 0) & s(all_280_1_2561) = all_280_0_2560)) & (all_0_6_6 = 0 | (all_280_0_2560 = 0 & s(all_280_1_2561) = 0))
% 53.94/15.62  										|
% 53.94/15.62  										| Applying alpha-rule on (4935) yields:
% 53.94/15.62  										| (4936)  ~ (all_0_6_6 = 0) | ( ~ (all_280_0_2560 = 0) & s(all_280_1_2561) = all_280_0_2560)
% 53.94/15.62  										| (4937) all_0_6_6 = 0 | (all_280_0_2560 = 0 & s(all_280_1_2561) = 0)
% 53.94/15.62  										|
% 53.94/15.62  										+-Applying beta-rule and splitting (4937), into two cases.
% 53.94/15.62  										|-Branch one:
% 53.94/15.62  										| (54) all_0_6_6 = 0
% 53.94/15.62  										|
% 53.94/15.62  											| Equations (54) can reduce 2980 to:
% 53.94/15.62  											| (59) $false
% 53.94/15.62  											|
% 53.94/15.62  											|-The branch is then unsatisfiable
% 53.94/15.62  										|-Branch two:
% 53.94/15.62  										| (2980)  ~ (all_0_6_6 = 0)
% 53.94/15.62  										| (4941) all_280_0_2560 = 0 & s(all_280_1_2561) = 0
% 53.94/15.62  										|
% 53.94/15.62  											| Applying alpha-rule on (4941) yields:
% 53.94/15.62  											| (4942) all_280_0_2560 = 0
% 53.94/15.62  											| (4943) s(all_280_1_2561) = 0
% 53.94/15.62  											|
% 53.94/15.62  											| Instantiating formula (62) with all_280_1_2561 and discharging atoms s(all_280_1_2561) = 0, yields:
% 53.94/15.62  											| (79) $false
% 53.94/15.62  											|
% 53.94/15.62  											|-The branch is then unsatisfiable
% 53.94/15.62  						|-Branch two:
% 53.94/15.62  						| (2985)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] :  ~ (q(v0) = 0)
% 53.94/15.62  						|
% 53.94/15.62  							| Applying alpha-rule on (2985) yields:
% 53.94/15.62  							| (41)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 53.94/15.62  							| (212)  ! [v0] :  ~ (q(v0) = 0)
% 53.94/15.62  							|
% 53.94/15.62  							| Instantiating formula (41) with all_44_0_2266, all_44_1_2267 and discharging atoms r(all_44_1_2267) = all_44_0_2266, yields:
% 53.94/15.62  							| (4948) all_44_0_2266 = 0
% 53.94/15.62  							|
% 53.94/15.63  							| Equations (4948) can reduce 4771 to:
% 53.94/15.63  							| (59) $false
% 53.94/15.63  							|
% 53.94/15.63  							|-The branch is then unsatisfiable
% 53.94/15.63  					|-Branch two:
% 53.94/15.63  					| (219)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)
% 53.94/15.63  					|
% 53.94/15.63  						| Applying alpha-rule on (219) yields:
% 53.94/15.63  						| (220)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))
% 53.94/15.63  						| (221)  ! [v0] :  ~ (r(v0) = 0)
% 53.94/15.63  						|
% 53.94/15.63  						+-Applying beta-rule and splitting (2954), into two cases.
% 53.94/15.63  						|-Branch one:
% 53.94/15.63  						| (2974) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & r(all_0_21_21) = all_0_20_20 & q(all_0_19_19) = 0
% 53.94/15.63  						|
% 53.94/15.63  							| Applying alpha-rule on (2974) yields:
% 53.94/15.63  							| (33) all_0_18_18 = 0
% 53.94/15.63  							| (34)  ~ (all_0_20_20 = 0)
% 53.94/15.63  							| (2977) r(all_0_21_21) = all_0_20_20
% 53.94/15.63  							| (2978) q(all_0_19_19) = 0
% 53.94/15.63  							|
% 53.94/15.63  							| Instantiating formula (370) with all_0_20_20, all_0_21_21 and discharging atoms r(all_0_21_21) = all_0_20_20, yields:
% 53.94/15.63  							| (3485)  ? [v0] :  ? [v1] : (( ~ (all_0_20_20 = 0) | ( ~ (v1 = 0) & r(v0) = v1)) & (all_0_20_20 = 0 | (v1 = 0 & r(v0) = 0)))
% 53.94/15.63  							|
% 53.94/15.63  							| Instantiating (3485) with all_52_0_2562, all_52_1_2563 yields:
% 53.94/15.63  							| (4959) ( ~ (all_0_20_20 = 0) | ( ~ (all_52_0_2562 = 0) & r(all_52_1_2563) = all_52_0_2562)) & (all_0_20_20 = 0 | (all_52_0_2562 = 0 & r(all_52_1_2563) = 0))
% 53.94/15.63  							|
% 53.94/15.63  							| Applying alpha-rule on (4959) yields:
% 53.94/15.63  							| (4960)  ~ (all_0_20_20 = 0) | ( ~ (all_52_0_2562 = 0) & r(all_52_1_2563) = all_52_0_2562)
% 53.94/15.63  							| (4961) all_0_20_20 = 0 | (all_52_0_2562 = 0 & r(all_52_1_2563) = 0)
% 53.94/15.63  							|
% 53.94/15.63  							+-Applying beta-rule and splitting (4961), into two cases.
% 53.94/15.63  							|-Branch one:
% 53.94/15.63  							| (81) all_0_20_20 = 0
% 53.94/15.63  							|
% 53.94/15.63  								| Equations (81) can reduce 34 to:
% 53.94/15.63  								| (59) $false
% 53.94/15.63  								|
% 53.94/15.63  								|-The branch is then unsatisfiable
% 53.94/15.63  							|-Branch two:
% 53.94/15.63  							| (34)  ~ (all_0_20_20 = 0)
% 53.94/15.63  							| (4965) all_52_0_2562 = 0 & r(all_52_1_2563) = 0
% 53.94/15.63  							|
% 53.94/15.63  								| Applying alpha-rule on (4965) yields:
% 53.94/15.63  								| (4966) all_52_0_2562 = 0
% 53.94/15.63  								| (4967) r(all_52_1_2563) = 0
% 53.94/15.63  								|
% 53.94/15.63  								| Instantiating formula (221) with all_52_1_2563 and discharging atoms r(all_52_1_2563) = 0, yields:
% 53.94/15.63  								| (79) $false
% 53.94/15.63  								|
% 53.94/15.63  								|-The branch is then unsatisfiable
% 53.94/15.63  						|-Branch two:
% 53.94/15.63  						| (2985)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] :  ~ (q(v0) = 0)
% 53.94/15.63  						|
% 53.94/15.63  							| Applying alpha-rule on (2985) yields:
% 53.94/15.63  							| (41)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 53.94/15.63  							| (212)  ! [v0] :  ~ (q(v0) = 0)
% 53.94/15.63  							|
% 53.94/15.63  							+-Applying beta-rule and splitting (2968), into two cases.
% 53.94/15.63  							|-Branch one:
% 53.94/15.63  							| (2988) ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_9_9) = 0 & p(all_0_11_11) = all_0_10_10) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))))
% 53.94/15.63  							|
% 53.94/15.63  								| Applying alpha-rule on (2988) yields:
% 53.94/15.63  								| (2989) (all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_9_9) = 0 & p(all_0_11_11) = all_0_10_10) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))
% 53.94/15.63  								| (2990) (s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0))))
% 53.94/15.63  								|
% 53.94/15.63  								+-Applying beta-rule and splitting (2990), into two cases.
% 53.94/15.63  								|-Branch one:
% 53.94/15.63  								| (2991) s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 53.94/15.63  								|
% 53.94/15.63  									| Applying alpha-rule on (2991) yields:
% 53.94/15.63  									| (130) s(all_0_13_13) = all_0_12_12
% 53.94/15.63  									| (131)  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 53.94/15.63  									| (132)  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0))
% 53.94/15.63  									| (1625) (all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 53.94/15.63  									|
% 53.94/15.63  									| Instantiating formula (220) with all_0_12_12, all_0_13_13 and discharging atoms s(all_0_13_13) = all_0_12_12, yields:
% 53.94/15.63  									| (66) all_0_12_12 = 0
% 53.94/15.63  									|
% 53.94/15.63  									| From (66) and (130) follows:
% 53.94/15.63  									| (310) s(all_0_13_13) = 0
% 53.94/15.63  									|
% 53.94/15.63  									+-Applying beta-rule and splitting (2989), into two cases.
% 53.94/15.63  									|-Branch one:
% 53.94/15.63  									| (2998) all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_9_9) = 0 & p(all_0_11_11) = all_0_10_10
% 53.94/15.63  									|
% 53.94/15.63  										| Applying alpha-rule on (2998) yields:
% 53.94/15.63  										| (120) all_0_8_8 = 0
% 53.94/15.63  										| (52)  ~ (all_0_10_10 = 0)
% 53.94/15.63  										| (396) s(all_0_9_9) = 0
% 53.94/15.63  										| (144) p(all_0_11_11) = all_0_10_10
% 53.94/15.63  										|
% 53.94/15.63  										| Instantiating formula (13) with all_0_10_10, all_0_11_11 and discharging atoms p(all_0_11_11) = all_0_10_10, yields:
% 53.94/15.63  										| (146)  ~ (all_0_0_0 = 0) | all_0_10_10 = 0
% 53.94/15.63  										|
% 53.94/15.63  										+-Applying beta-rule and splitting (1625), into two cases.
% 53.94/15.63  										|-Branch one:
% 53.94/15.63  										| (1642) all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0
% 53.94/15.63  										|
% 53.94/15.63  											| Applying alpha-rule on (1642) yields:
% 53.94/15.63  											| (74) all_0_14_14 = 0
% 53.94/15.63  											| (71)  ~ (all_0_16_16 = 0)
% 53.94/15.63  											| (23) q(all_0_17_17) = all_0_16_16
% 53.94/15.63  											| (105) p(all_0_15_15) = 0
% 53.94/15.63  											|
% 53.94/15.63  											+-Applying beta-rule and splitting (146), into two cases.
% 53.94/15.63  											|-Branch one:
% 53.94/15.63  											| (102)  ~ (all_0_0_0 = 0)
% 53.94/15.63  											|
% 53.94/15.63  												| Instantiating formula (14) with all_0_15_15 and discharging atoms p(all_0_15_15) = 0, yields:
% 53.94/15.63  												| (63) all_0_0_0 = 0
% 53.94/15.63  												|
% 53.94/15.63  												| Equations (63) can reduce 102 to:
% 53.94/15.63  												| (59) $false
% 53.94/15.63  												|
% 53.94/15.63  												|-The branch is then unsatisfiable
% 53.94/15.63  											|-Branch two:
% 53.94/15.63  											| (63) all_0_0_0 = 0
% 53.94/15.63  											| (58) all_0_10_10 = 0
% 53.94/15.63  											|
% 53.94/15.63  												| Equations (58) can reduce 52 to:
% 53.94/15.63  												| (59) $false
% 53.94/15.63  												|
% 53.94/15.63  												|-The branch is then unsatisfiable
% 53.94/15.63  										|-Branch two:
% 53.94/15.63  										| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 53.94/15.63  										|
% 53.94/15.63  											| Applying alpha-rule on (76) yields:
% 53.94/15.63  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.94/15.63  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 53.94/15.63  											|
% 53.94/15.63  											| Instantiating formula (77) with all_0_2_2, all_0_3_3 and discharging atoms q(all_0_3_3) = all_0_2_2, yields:
% 53.94/15.63  											| (39) all_0_2_2 = 0
% 53.94/15.63  											|
% 53.94/15.63  											| From (39) and (2960) follows:
% 53.94/15.63  											| (40) q(all_0_3_3) = 0
% 53.94/15.63  											|
% 53.94/15.63  											| Instantiating formula (212) with all_0_3_3 and discharging atoms q(all_0_3_3) = 0, yields:
% 53.94/15.63  											| (79) $false
% 53.94/15.63  											|
% 53.94/15.63  											|-The branch is then unsatisfiable
% 53.94/15.63  									|-Branch two:
% 53.94/15.63  									| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 53.94/15.63  									|
% 53.94/15.63  										| Applying alpha-rule on (60) yields:
% 53.94/15.63  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.94/15.63  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 53.94/15.63  										|
% 53.94/15.63  										| Instantiating formula (62) with all_0_13_13 and discharging atoms s(all_0_13_13) = 0, yields:
% 53.94/15.63  										| (79) $false
% 53.94/15.63  										|
% 53.94/15.63  										|-The branch is then unsatisfiable
% 53.94/15.63  								|-Branch two:
% 53.94/15.63  								| (3025)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))
% 53.94/15.63  								|
% 53.94/15.63  									| Applying alpha-rule on (3025) yields:
% 53.94/15.63  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 53.94/15.63  									| (1590) (all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0))
% 53.94/15.63  									|
% 53.94/15.63  									+-Applying beta-rule and splitting (2989), into two cases.
% 53.94/15.63  									|-Branch one:
% 53.94/15.63  									| (2998) all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_9_9) = 0 & p(all_0_11_11) = all_0_10_10
% 53.94/15.63  									|
% 53.94/15.63  										| Applying alpha-rule on (2998) yields:
% 53.94/15.63  										| (120) all_0_8_8 = 0
% 53.94/15.63  										| (52)  ~ (all_0_10_10 = 0)
% 53.94/15.63  										| (396) s(all_0_9_9) = 0
% 53.94/15.63  										| (144) p(all_0_11_11) = all_0_10_10
% 53.94/15.63  										|
% 53.94/15.63  										| Instantiating formula (84) with 0, all_0_9_9 and discharging atoms s(all_0_9_9) = 0, yields:
% 53.94/15.63  										| (278)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & s(v0) = v1)
% 53.94/15.63  										|
% 53.94/15.63  										| Instantiating (278) with all_57_0_2564, all_57_1_2565 yields:
% 53.94/15.63  										| (5018)  ~ (all_57_0_2564 = 0) & s(all_57_1_2565) = all_57_0_2564
% 53.94/15.63  										|
% 53.94/15.63  										| Applying alpha-rule on (5018) yields:
% 53.94/15.63  										| (5019)  ~ (all_57_0_2564 = 0)
% 53.94/15.63  										| (5020) s(all_57_1_2565) = all_57_0_2564
% 53.94/15.63  										|
% 53.94/15.63  										| Instantiating formula (220) with all_57_0_2564, all_57_1_2565 and discharging atoms s(all_57_1_2565) = all_57_0_2564, yields:
% 53.94/15.63  										| (5021) all_57_0_2564 = 0
% 53.94/15.63  										|
% 53.94/15.64  										| Equations (5021) can reduce 5019 to:
% 53.94/15.64  										| (59) $false
% 53.94/15.64  										|
% 53.94/15.64  										|-The branch is then unsatisfiable
% 53.94/15.64  									|-Branch two:
% 53.94/15.64  									| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 53.94/15.64  									|
% 53.94/15.64  										| Applying alpha-rule on (60) yields:
% 53.94/15.64  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.94/15.64  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 53.94/15.64  										|
% 53.94/15.64  										| Instantiating formula (61) with all_0_0_0, all_0_1_1 and discharging atoms p(all_0_1_1) = all_0_0_0, yields:
% 53.94/15.64  										| (63) all_0_0_0 = 0
% 53.94/15.64  										|
% 53.94/15.64  										| From (63) and (12) follows:
% 53.94/15.64  										| (64) p(all_0_1_1) = 0
% 53.94/15.64  										|
% 53.94/15.64  										+-Applying beta-rule and splitting (1590), into two cases.
% 53.94/15.64  										|-Branch one:
% 53.94/15.64  										| (1599) all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.94/15.64  										|
% 53.94/15.64  											| Applying alpha-rule on (1599) yields:
% 53.94/15.64  											| (42) all_0_16_16 = 0
% 53.94/15.64  											| (1601) p(all_0_17_17) = 0
% 53.94/15.64  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.94/15.64  											|
% 53.94/15.64  											| Instantiating formula (77) with all_0_2_2, all_0_3_3 and discharging atoms q(all_0_3_3) = all_0_2_2, yields:
% 53.94/15.64  											| (39) all_0_2_2 = 0
% 53.94/15.64  											|
% 53.94/15.64  											| From (39) and (2960) follows:
% 53.94/15.64  											| (40) q(all_0_3_3) = 0
% 53.94/15.64  											|
% 53.94/15.64  											| Instantiating formula (212) with all_0_3_3 and discharging atoms q(all_0_3_3) = 0, yields:
% 53.94/15.64  											| (79) $false
% 53.94/15.64  											|
% 53.94/15.64  											|-The branch is then unsatisfiable
% 53.94/15.64  										|-Branch two:
% 53.94/15.64  										| (1609)  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)
% 53.94/15.64  										|
% 53.94/15.64  											| Applying alpha-rule on (1609) yields:
% 53.94/15.64  											| (71)  ~ (all_0_16_16 = 0)
% 53.94/15.64  											| (23) q(all_0_17_17) = all_0_16_16
% 53.94/15.64  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 53.94/15.64  											|
% 53.94/15.64  											| Instantiating formula (78) with all_0_1_1 and discharging atoms p(all_0_1_1) = 0, yields:
% 53.94/15.64  											| (79) $false
% 53.94/15.64  											|
% 53.94/15.64  											|-The branch is then unsatisfiable
% 53.94/15.64  							|-Branch two:
% 53.94/15.64  							| (3056) ((all_0_12_12 = 0 & s(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_12_12 = 0) & p(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))
% 53.94/15.64  							|
% 53.94/15.64  								| Applying alpha-rule on (3056) yields:
% 53.94/15.64  								| (3057) (all_0_12_12 = 0 & s(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_12_12 = 0) & p(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (s(v0) = 0))
% 53.94/15.64  								| (1585) (s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))
% 53.94/15.64  								|
% 53.94/15.64  								+-Applying beta-rule and splitting (1585), into two cases.
% 53.94/15.64  								|-Branch one:
% 53.94/15.64  								| (1586) s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))
% 53.94/15.64  								|
% 53.94/15.64  									| Applying alpha-rule on (1586) yields:
% 53.94/15.64  									| (1587) s(all_0_15_15) = all_0_14_14
% 53.94/15.64  									| (1588)  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 53.94/15.64  									| (1589)  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0))
% 53.94/15.64  									| (1590) (all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0))
% 53.94/15.64  									|
% 53.94/15.64  									| Instantiating formula (220) with all_0_14_14, all_0_15_15 and discharging atoms s(all_0_15_15) = all_0_14_14, yields:
% 53.94/15.64  									| (74) all_0_14_14 = 0
% 53.94/15.64  									|
% 53.94/15.64  									| From (74) and (1587) follows:
% 53.94/15.64  									| (1521) s(all_0_15_15) = 0
% 53.94/15.64  									|
% 53.94/15.64  									+-Applying beta-rule and splitting (3057), into two cases.
% 53.94/15.64  									|-Branch one:
% 53.94/15.64  									| (3066) all_0_12_12 = 0 & s(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.94/15.64  									|
% 53.94/15.64  										| Applying alpha-rule on (3066) yields:
% 53.94/15.64  										| (66) all_0_12_12 = 0
% 53.94/15.64  										| (310) s(all_0_13_13) = 0
% 53.94/15.64  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.94/15.64  										|
% 53.94/15.64  										| Instantiating formula (61) with all_0_0_0, all_0_1_1 and discharging atoms p(all_0_1_1) = all_0_0_0, yields:
% 53.94/15.64  										| (63) all_0_0_0 = 0
% 53.94/15.64  										|
% 53.94/15.64  										| From (63) and (12) follows:
% 53.94/15.64  										| (64) p(all_0_1_1) = 0
% 53.94/15.64  										|
% 53.94/15.64  										+-Applying beta-rule and splitting (1590), into two cases.
% 53.94/15.64  										|-Branch one:
% 53.94/15.64  										| (1599) all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.94/15.64  										|
% 53.94/15.64  											| Applying alpha-rule on (1599) yields:
% 53.94/15.64  											| (42) all_0_16_16 = 0
% 53.94/15.64  											| (1601) p(all_0_17_17) = 0
% 53.94/15.64  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.94/15.64  											|
% 53.94/15.64  											| Instantiating formula (77) with all_0_2_2, all_0_3_3 and discharging atoms q(all_0_3_3) = all_0_2_2, yields:
% 53.94/15.64  											| (39) all_0_2_2 = 0
% 53.94/15.64  											|
% 53.94/15.64  											| From (39) and (2960) follows:
% 53.94/15.64  											| (40) q(all_0_3_3) = 0
% 53.94/15.64  											|
% 53.94/15.64  											| Instantiating formula (212) with all_0_3_3 and discharging atoms q(all_0_3_3) = 0, yields:
% 53.94/15.64  											| (79) $false
% 53.94/15.64  											|
% 53.94/15.64  											|-The branch is then unsatisfiable
% 53.94/15.64  										|-Branch two:
% 53.94/15.64  										| (1609)  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)
% 53.94/15.64  										|
% 53.94/15.64  											| Applying alpha-rule on (1609) yields:
% 53.94/15.64  											| (71)  ~ (all_0_16_16 = 0)
% 53.94/15.64  											| (23) q(all_0_17_17) = all_0_16_16
% 53.94/15.64  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 53.94/15.64  											|
% 53.94/15.64  											| Instantiating formula (78) with all_0_1_1 and discharging atoms p(all_0_1_1) = 0, yields:
% 53.94/15.64  											| (79) $false
% 53.94/15.64  											|
% 53.94/15.64  											|-The branch is then unsatisfiable
% 53.94/15.64  									|-Branch two:
% 53.94/15.64  									| (3084)  ~ (all_0_12_12 = 0) & p(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (s(v0) = 0)
% 53.94/15.64  									|
% 53.94/15.64  										| Applying alpha-rule on (3084) yields:
% 53.94/15.64  										| (135)  ~ (all_0_12_12 = 0)
% 53.94/15.64  										| (3086) p(all_0_13_13) = all_0_12_12
% 53.94/15.64  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 53.94/15.64  										|
% 53.94/15.64  										| Instantiating formula (62) with all_0_15_15 and discharging atoms s(all_0_15_15) = 0, yields:
% 53.94/15.64  										| (79) $false
% 53.94/15.64  										|
% 53.94/15.64  										|-The branch is then unsatisfiable
% 53.94/15.64  								|-Branch two:
% 53.94/15.64  								| (1623)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 53.94/15.64  								|
% 53.94/15.64  									| Applying alpha-rule on (1623) yields:
% 53.94/15.64  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 53.94/15.64  									| (1625) (all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 53.94/15.64  									|
% 53.94/15.64  									+-Applying beta-rule and splitting (3057), into two cases.
% 53.94/15.64  									|-Branch one:
% 53.94/15.64  									| (3066) all_0_12_12 = 0 & s(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.94/15.64  									|
% 53.94/15.64  										| Applying alpha-rule on (3066) yields:
% 53.94/15.64  										| (66) all_0_12_12 = 0
% 53.94/15.64  										| (310) s(all_0_13_13) = 0
% 53.94/15.64  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.94/15.64  										|
% 53.94/15.64  										| Instantiating formula (84) with 0, all_0_13_13 and discharging atoms s(all_0_13_13) = 0, yields:
% 53.94/15.64  										| (278)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & s(v0) = v1)
% 53.94/15.64  										|
% 53.94/15.64  										| Instantiating (278) with all_59_0_2566, all_59_1_2567 yields:
% 53.94/15.64  										| (5081)  ~ (all_59_0_2566 = 0) & s(all_59_1_2567) = all_59_0_2566
% 53.94/15.64  										|
% 53.94/15.64  										| Applying alpha-rule on (5081) yields:
% 53.94/15.64  										| (5082)  ~ (all_59_0_2566 = 0)
% 53.94/15.64  										| (5083) s(all_59_1_2567) = all_59_0_2566
% 53.94/15.64  										|
% 53.94/15.64  										| Instantiating formula (220) with all_59_0_2566, all_59_1_2567 and discharging atoms s(all_59_1_2567) = all_59_0_2566, yields:
% 53.94/15.64  										| (5084) all_59_0_2566 = 0
% 53.94/15.64  										|
% 53.94/15.64  										| Equations (5084) can reduce 5082 to:
% 53.94/15.64  										| (59) $false
% 53.94/15.64  										|
% 53.94/15.64  										|-The branch is then unsatisfiable
% 53.94/15.64  									|-Branch two:
% 53.94/15.64  									| (3084)  ~ (all_0_12_12 = 0) & p(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (s(v0) = 0)
% 53.94/15.64  									|
% 53.94/15.64  										| Applying alpha-rule on (3084) yields:
% 53.94/15.64  										| (135)  ~ (all_0_12_12 = 0)
% 53.94/15.64  										| (3086) p(all_0_13_13) = all_0_12_12
% 53.94/15.64  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 53.94/15.64  										|
% 53.94/15.64  										| Instantiating formula (13) with all_0_12_12, all_0_13_13 and discharging atoms p(all_0_13_13) = all_0_12_12, yields:
% 53.94/15.64  										| (3106)  ~ (all_0_0_0 = 0) | all_0_12_12 = 0
% 53.94/15.64  										|
% 53.94/15.64  										+-Applying beta-rule and splitting (1625), into two cases.
% 53.94/15.64  										|-Branch one:
% 53.94/15.64  										| (1642) all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0
% 53.94/15.64  										|
% 53.94/15.64  											| Applying alpha-rule on (1642) yields:
% 53.94/15.64  											| (74) all_0_14_14 = 0
% 53.94/15.64  											| (71)  ~ (all_0_16_16 = 0)
% 53.94/15.64  											| (23) q(all_0_17_17) = all_0_16_16
% 53.94/15.64  											| (105) p(all_0_15_15) = 0
% 53.94/15.64  											|
% 53.94/15.64  											+-Applying beta-rule and splitting (3106), into two cases.
% 53.94/15.64  											|-Branch one:
% 53.94/15.64  											| (102)  ~ (all_0_0_0 = 0)
% 53.94/15.64  											|
% 53.94/15.64  												| Instantiating formula (14) with all_0_15_15 and discharging atoms p(all_0_15_15) = 0, yields:
% 53.94/15.64  												| (63) all_0_0_0 = 0
% 53.94/15.64  												|
% 53.94/15.64  												| Equations (63) can reduce 102 to:
% 53.94/15.64  												| (59) $false
% 53.94/15.64  												|
% 53.94/15.64  												|-The branch is then unsatisfiable
% 53.94/15.64  											|-Branch two:
% 53.94/15.64  											| (63) all_0_0_0 = 0
% 53.94/15.64  											| (66) all_0_12_12 = 0
% 53.94/15.64  											|
% 53.94/15.64  												| Equations (66) can reduce 135 to:
% 53.94/15.64  												| (59) $false
% 53.94/15.64  												|
% 53.94/15.64  												|-The branch is then unsatisfiable
% 53.94/15.64  										|-Branch two:
% 53.94/15.64  										| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 53.94/15.64  										|
% 53.94/15.64  											| Applying alpha-rule on (76) yields:
% 53.94/15.64  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.94/15.64  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 53.94/15.64  											|
% 53.94/15.64  											| Instantiating formula (77) with all_0_2_2, all_0_3_3 and discharging atoms q(all_0_3_3) = all_0_2_2, yields:
% 53.94/15.64  											| (39) all_0_2_2 = 0
% 53.94/15.64  											|
% 53.94/15.64  											| From (39) and (2960) follows:
% 53.94/15.65  											| (40) q(all_0_3_3) = 0
% 53.94/15.65  											|
% 53.94/15.65  											| Instantiating formula (212) with all_0_3_3 and discharging atoms q(all_0_3_3) = 0, yields:
% 53.94/15.65  											| (79) $false
% 53.94/15.65  											|
% 53.94/15.65  											|-The branch is then unsatisfiable
% 53.94/15.65  			|-Branch two:
% 53.94/15.65  			| (5108)  ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_6_6 = 0 & r(all_0_7_7) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_6_6 = 0) & s(all_0_7_7) = all_0_6_6 &  ! [v0] :  ~ (r(v0) = 0)))
% 53.94/15.65  			|
% 53.94/15.65  				| Applying alpha-rule on (5108) yields:
% 53.94/15.65  				| (717)  ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0))))
% 53.94/15.65  				| (5110) (all_0_6_6 = 0 & r(all_0_7_7) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_6_6 = 0) & s(all_0_7_7) = all_0_6_6 &  ! [v0] :  ~ (r(v0) = 0))
% 53.94/15.65  				|
% 53.94/15.65  				+-Applying beta-rule and splitting (4412), into two cases.
% 53.94/15.65  				|-Branch one:
% 53.94/15.65  				| (4419) r(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (r(v0) = 0)) & ((((all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & s(all_0_15_15) = 0 & p(all_0_17_17) = all_0_16_16) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))
% 53.94/15.65  				|
% 53.94/15.65  					| Applying alpha-rule on (4419) yields:
% 53.94/15.65  					| (4420) r(all_0_9_9) = all_0_8_8
% 53.94/15.65  					| (4421)  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (r(v0) = v1))
% 53.94/15.65  					| (4422)  ! [v0] : (all_0_8_8 = 0 |  ~ (r(v0) = 0))
% 53.94/15.65  					| (3308) (((all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & s(all_0_15_15) = 0 & p(all_0_17_17) = all_0_16_16) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))
% 53.94/15.65  					|
% 53.94/15.65  					+-Applying beta-rule and splitting (5110), into two cases.
% 53.94/15.65  					|-Branch one:
% 53.94/15.65  					| (5116) all_0_6_6 = 0 & r(all_0_7_7) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))
% 53.94/15.65  					|
% 53.94/15.65  						| Applying alpha-rule on (5116) yields:
% 53.94/15.65  						| (54) all_0_6_6 = 0
% 53.94/15.65  						| (3304) r(all_0_7_7) = 0
% 53.94/15.65  						| (220)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))
% 53.94/15.65  						|
% 53.94/15.65  						| Instantiating formula (4422) with all_0_7_7 and discharging atoms r(all_0_7_7) = 0, yields:
% 53.94/15.65  						| (120) all_0_8_8 = 0
% 53.94/15.65  						|
% 53.94/15.65  						+-Applying beta-rule and splitting (2954), into two cases.
% 53.94/15.65  						|-Branch one:
% 53.94/15.65  						| (2974) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & r(all_0_21_21) = all_0_20_20 & q(all_0_19_19) = 0
% 53.94/15.65  						|
% 53.94/15.65  							| Applying alpha-rule on (2974) yields:
% 53.94/15.65  							| (33) all_0_18_18 = 0
% 53.94/15.65  							| (34)  ~ (all_0_20_20 = 0)
% 53.94/15.65  							| (2977) r(all_0_21_21) = all_0_20_20
% 53.94/15.65  							| (2978) q(all_0_19_19) = 0
% 53.94/15.65  							|
% 53.94/15.65  							| Instantiating formula (4421) with all_0_20_20, all_0_21_21 and discharging atoms r(all_0_21_21) = all_0_20_20, yields:
% 53.94/15.65  							| (483)  ~ (all_0_8_8 = 0) | all_0_20_20 = 0
% 53.94/15.65  							|
% 53.94/15.65  							+-Applying beta-rule and splitting (483), into two cases.
% 53.94/15.65  							|-Branch one:
% 53.94/15.65  							| (55)  ~ (all_0_8_8 = 0)
% 53.94/15.65  							|
% 53.94/15.65  								| Equations (120) can reduce 55 to:
% 53.94/15.65  								| (59) $false
% 53.94/15.65  								|
% 53.94/15.65  								|-The branch is then unsatisfiable
% 53.94/15.65  							|-Branch two:
% 53.94/15.65  							| (120) all_0_8_8 = 0
% 53.94/15.65  							| (81) all_0_20_20 = 0
% 53.94/15.65  							|
% 53.94/15.65  								| Equations (81) can reduce 34 to:
% 53.94/15.65  								| (59) $false
% 53.94/15.65  								|
% 53.94/15.65  								|-The branch is then unsatisfiable
% 53.94/15.65  						|-Branch two:
% 53.94/15.65  						| (2985)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] :  ~ (q(v0) = 0)
% 53.94/15.65  						|
% 53.94/15.65  							| Applying alpha-rule on (2985) yields:
% 53.94/15.65  							| (41)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 53.94/15.65  							| (212)  ! [v0] :  ~ (q(v0) = 0)
% 53.94/15.65  							|
% 53.94/15.65  							+-Applying beta-rule and splitting (3308), into two cases.
% 53.94/15.65  							|-Branch one:
% 53.94/15.65  							| (3323) ((all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))))
% 53.94/15.65  							|
% 53.94/15.65  								| Applying alpha-rule on (3323) yields:
% 53.94/15.65  								| (127) (all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))
% 53.94/15.65  								| (2990) (s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0))))
% 53.94/15.65  								|
% 53.94/15.65  								+-Applying beta-rule and splitting (2990), into two cases.
% 53.94/15.65  								|-Branch one:
% 53.94/15.65  								| (2991) s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 53.94/15.66  								|
% 53.94/15.66  									| Applying alpha-rule on (2991) yields:
% 53.94/15.66  									| (130) s(all_0_13_13) = all_0_12_12
% 53.94/15.66  									| (131)  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 53.94/15.66  									| (132)  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0))
% 53.94/15.66  									| (1625) (all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 53.94/15.66  									|
% 53.94/15.66  									| Instantiating formula (220) with all_0_12_12, all_0_13_13 and discharging atoms s(all_0_13_13) = all_0_12_12, yields:
% 53.94/15.66  									| (66) all_0_12_12 = 0
% 53.94/15.66  									|
% 53.94/15.66  									| From (66) and (130) follows:
% 53.94/15.66  									| (310) s(all_0_13_13) = 0
% 53.94/15.66  									|
% 53.94/15.66  									+-Applying beta-rule and splitting (127), into two cases.
% 53.94/15.66  									|-Branch one:
% 53.94/15.66  									| (136) all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.94/15.66  									|
% 53.94/15.66  										| Applying alpha-rule on (136) yields:
% 53.94/15.66  										| (58) all_0_10_10 = 0
% 53.94/15.66  										| (138) s(all_0_11_11) = 0
% 53.94/15.66  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.94/15.66  										|
% 53.94/15.66  										| Instantiating formula (61) with all_0_0_0, all_0_1_1 and discharging atoms p(all_0_1_1) = all_0_0_0, yields:
% 53.94/15.66  										| (63) all_0_0_0 = 0
% 53.94/15.66  										|
% 53.94/15.66  										| From (63) and (12) follows:
% 53.94/15.66  										| (64) p(all_0_1_1) = 0
% 53.94/15.66  										|
% 53.94/15.66  										+-Applying beta-rule and splitting (1625), into two cases.
% 53.94/15.66  										|-Branch one:
% 53.94/15.66  										| (1642) all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0
% 53.94/15.66  										|
% 53.94/15.66  											| Applying alpha-rule on (1642) yields:
% 53.94/15.66  											| (74) all_0_14_14 = 0
% 53.94/15.66  											| (71)  ~ (all_0_16_16 = 0)
% 53.94/15.66  											| (23) q(all_0_17_17) = all_0_16_16
% 53.94/15.66  											| (105) p(all_0_15_15) = 0
% 53.94/15.66  											|
% 53.94/15.66  											| Instantiating formula (717) with all_0_16_16, all_0_17_17 and discharging atoms q(all_0_17_17) = all_0_16_16, yields:
% 53.94/15.66  											| (2513)  ? [v0] :  ? [v1] : (( ~ (all_0_16_16 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_0_16_16 = 0 | (v1 = 0 & q(v0) = 0)))
% 53.94/15.66  											|
% 53.94/15.66  											| Instantiating (2513) with all_82_0_2570, all_82_1_2571 yields:
% 53.94/15.66  											| (5157) ( ~ (all_0_16_16 = 0) | ( ~ (all_82_0_2570 = 0) & q(all_82_1_2571) = all_82_0_2570)) & (all_0_16_16 = 0 | (all_82_0_2570 = 0 & q(all_82_1_2571) = 0))
% 53.94/15.66  											|
% 53.94/15.66  											| Applying alpha-rule on (5157) yields:
% 53.94/15.66  											| (5158)  ~ (all_0_16_16 = 0) | ( ~ (all_82_0_2570 = 0) & q(all_82_1_2571) = all_82_0_2570)
% 53.94/15.66  											| (5159) all_0_16_16 = 0 | (all_82_0_2570 = 0 & q(all_82_1_2571) = 0)
% 53.94/15.66  											|
% 53.94/15.66  											+-Applying beta-rule and splitting (5159), into two cases.
% 53.94/15.66  											|-Branch one:
% 53.94/15.66  											| (42) all_0_16_16 = 0
% 53.94/15.66  											|
% 53.94/15.66  												| Equations (42) can reduce 71 to:
% 53.94/15.66  												| (59) $false
% 53.94/15.66  												|
% 53.94/15.66  												|-The branch is then unsatisfiable
% 53.94/15.66  											|-Branch two:
% 53.94/15.66  											| (71)  ~ (all_0_16_16 = 0)
% 53.94/15.66  											| (5163) all_82_0_2570 = 0 & q(all_82_1_2571) = 0
% 53.94/15.66  											|
% 53.94/15.66  												| Applying alpha-rule on (5163) yields:
% 53.94/15.66  												| (5164) all_82_0_2570 = 0
% 53.94/15.66  												| (5165) q(all_82_1_2571) = 0
% 53.94/15.66  												|
% 53.94/15.66  												| Instantiating formula (212) with all_82_1_2571 and discharging atoms q(all_82_1_2571) = 0, yields:
% 53.94/15.66  												| (79) $false
% 53.94/15.66  												|
% 53.94/15.66  												|-The branch is then unsatisfiable
% 53.94/15.66  										|-Branch two:
% 53.94/15.66  										| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 53.94/15.66  										|
% 53.94/15.66  											| Applying alpha-rule on (76) yields:
% 53.94/15.66  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.94/15.66  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 53.94/15.66  											|
% 53.94/15.66  											| Instantiating formula (78) with all_0_1_1 and discharging atoms p(all_0_1_1) = 0, yields:
% 53.94/15.66  											| (79) $false
% 53.94/15.66  											|
% 53.94/15.66  											|-The branch is then unsatisfiable
% 53.94/15.66  									|-Branch two:
% 53.94/15.66  									| (142)  ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0)
% 53.94/15.66  									|
% 53.94/15.66  										| Applying alpha-rule on (142) yields:
% 53.94/15.66  										| (52)  ~ (all_0_10_10 = 0)
% 53.94/15.66  										| (144) p(all_0_11_11) = all_0_10_10
% 53.94/15.66  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 53.94/15.66  										|
% 53.94/15.66  										| Instantiating formula (62) with all_0_13_13 and discharging atoms s(all_0_13_13) = 0, yields:
% 53.94/15.66  										| (79) $false
% 53.94/15.66  										|
% 53.94/15.66  										|-The branch is then unsatisfiable
% 53.94/15.66  								|-Branch two:
% 53.94/15.66  								| (3025)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))
% 53.94/15.66  								|
% 53.94/15.66  									| Applying alpha-rule on (3025) yields:
% 53.94/15.66  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 53.94/15.66  									| (1590) (all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0))
% 53.94/15.66  									|
% 53.94/15.66  									+-Applying beta-rule and splitting (127), into two cases.
% 53.94/15.66  									|-Branch one:
% 53.94/15.66  									| (136) all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.94/15.66  									|
% 53.94/15.66  										| Applying alpha-rule on (136) yields:
% 53.94/15.66  										| (58) all_0_10_10 = 0
% 53.94/15.66  										| (138) s(all_0_11_11) = 0
% 53.94/15.66  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.94/15.66  										|
% 53.94/15.66  										| Instantiating formula (84) with 0, all_0_11_11 and discharging atoms s(all_0_11_11) = 0, yields:
% 53.94/15.66  										| (278)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & s(v0) = v1)
% 53.94/15.66  										|
% 53.94/15.66  										| Instantiating (278) with all_67_0_2572, all_67_1_2573 yields:
% 53.94/15.66  										| (5184)  ~ (all_67_0_2572 = 0) & s(all_67_1_2573) = all_67_0_2572
% 53.94/15.66  										|
% 53.94/15.66  										| Applying alpha-rule on (5184) yields:
% 53.94/15.66  										| (5185)  ~ (all_67_0_2572 = 0)
% 53.94/15.66  										| (5186) s(all_67_1_2573) = all_67_0_2572
% 53.94/15.66  										|
% 53.94/15.66  										| Instantiating formula (220) with all_67_0_2572, all_67_1_2573 and discharging atoms s(all_67_1_2573) = all_67_0_2572, yields:
% 53.94/15.66  										| (5187) all_67_0_2572 = 0
% 53.94/15.66  										|
% 53.94/15.66  										| Equations (5187) can reduce 5185 to:
% 53.94/15.66  										| (59) $false
% 53.94/15.66  										|
% 53.94/15.66  										|-The branch is then unsatisfiable
% 53.94/15.66  									|-Branch two:
% 53.94/15.66  									| (142)  ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0)
% 53.94/15.66  									|
% 53.94/15.66  										| Applying alpha-rule on (142) yields:
% 53.94/15.66  										| (52)  ~ (all_0_10_10 = 0)
% 53.94/15.66  										| (144) p(all_0_11_11) = all_0_10_10
% 53.94/15.66  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 53.94/15.66  										|
% 53.94/15.66  										| Instantiating formula (13) with all_0_10_10, all_0_11_11 and discharging atoms p(all_0_11_11) = all_0_10_10, yields:
% 53.94/15.66  										| (146)  ~ (all_0_0_0 = 0) | all_0_10_10 = 0
% 53.94/15.66  										|
% 53.94/15.66  										+-Applying beta-rule and splitting (1590), into two cases.
% 53.94/15.66  										|-Branch one:
% 53.94/15.66  										| (1599) all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.94/15.66  										|
% 53.94/15.66  											| Applying alpha-rule on (1599) yields:
% 53.94/15.66  											| (42) all_0_16_16 = 0
% 53.94/15.66  											| (1601) p(all_0_17_17) = 0
% 53.94/15.66  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.94/15.66  											|
% 53.94/15.66  											+-Applying beta-rule and splitting (146), into two cases.
% 53.94/15.66  											|-Branch one:
% 53.94/15.66  											| (102)  ~ (all_0_0_0 = 0)
% 53.94/15.66  											|
% 53.94/15.66  												| Instantiating formula (14) with all_0_17_17 and discharging atoms p(all_0_17_17) = 0, yields:
% 53.94/15.66  												| (63) all_0_0_0 = 0
% 53.94/15.66  												|
% 53.94/15.66  												| Equations (63) can reduce 102 to:
% 53.94/15.66  												| (59) $false
% 53.94/15.66  												|
% 53.94/15.66  												|-The branch is then unsatisfiable
% 53.94/15.66  											|-Branch two:
% 53.94/15.66  											| (63) all_0_0_0 = 0
% 53.94/15.66  											| (58) all_0_10_10 = 0
% 53.94/15.66  											|
% 53.94/15.66  												| Equations (58) can reduce 52 to:
% 53.94/15.66  												| (59) $false
% 53.94/15.66  												|
% 53.94/15.66  												|-The branch is then unsatisfiable
% 53.94/15.66  										|-Branch two:
% 53.94/15.66  										| (1609)  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)
% 53.94/15.66  										|
% 53.94/15.66  											| Applying alpha-rule on (1609) yields:
% 53.94/15.66  											| (71)  ~ (all_0_16_16 = 0)
% 53.94/15.66  											| (23) q(all_0_17_17) = all_0_16_16
% 53.94/15.66  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 53.94/15.66  											|
% 53.94/15.66  											| Instantiating formula (717) with all_0_16_16, all_0_17_17 and discharging atoms q(all_0_17_17) = all_0_16_16, yields:
% 53.94/15.66  											| (2513)  ? [v0] :  ? [v1] : (( ~ (all_0_16_16 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_0_16_16 = 0 | (v1 = 0 & q(v0) = 0)))
% 53.94/15.66  											|
% 53.94/15.66  											| Instantiating (2513) with all_78_0_2574, all_78_1_2575 yields:
% 53.94/15.66  											| (5209) ( ~ (all_0_16_16 = 0) | ( ~ (all_78_0_2574 = 0) & q(all_78_1_2575) = all_78_0_2574)) & (all_0_16_16 = 0 | (all_78_0_2574 = 0 & q(all_78_1_2575) = 0))
% 53.94/15.66  											|
% 53.94/15.66  											| Applying alpha-rule on (5209) yields:
% 53.94/15.66  											| (5210)  ~ (all_0_16_16 = 0) | ( ~ (all_78_0_2574 = 0) & q(all_78_1_2575) = all_78_0_2574)
% 53.94/15.66  											| (5211) all_0_16_16 = 0 | (all_78_0_2574 = 0 & q(all_78_1_2575) = 0)
% 53.94/15.66  											|
% 53.94/15.66  											+-Applying beta-rule and splitting (5211), into two cases.
% 53.94/15.66  											|-Branch one:
% 53.94/15.66  											| (42) all_0_16_16 = 0
% 53.94/15.66  											|
% 53.94/15.66  												| Equations (42) can reduce 71 to:
% 53.94/15.66  												| (59) $false
% 53.94/15.66  												|
% 53.94/15.66  												|-The branch is then unsatisfiable
% 53.94/15.66  											|-Branch two:
% 53.94/15.66  											| (71)  ~ (all_0_16_16 = 0)
% 53.94/15.66  											| (5215) all_78_0_2574 = 0 & q(all_78_1_2575) = 0
% 53.94/15.66  											|
% 53.94/15.66  												| Applying alpha-rule on (5215) yields:
% 53.94/15.66  												| (5216) all_78_0_2574 = 0
% 53.94/15.66  												| (5217) q(all_78_1_2575) = 0
% 53.94/15.66  												|
% 53.94/15.66  												| Instantiating formula (212) with all_78_1_2575 and discharging atoms q(all_78_1_2575) = 0, yields:
% 53.94/15.66  												| (79) $false
% 53.94/15.66  												|
% 53.94/15.66  												|-The branch is then unsatisfiable
% 53.94/15.66  							|-Branch two:
% 53.94/15.66  							| (3397) ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & s(all_0_15_15) = 0 & p(all_0_17_17) = all_0_16_16) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))
% 53.94/15.67  							|
% 53.94/15.67  								| Applying alpha-rule on (3397) yields:
% 53.94/15.67  								| (3398) (all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & s(all_0_15_15) = 0 & p(all_0_17_17) = all_0_16_16) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))
% 53.94/15.67  								| (3399) (s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))
% 53.94/15.67  								|
% 53.94/15.67  								+-Applying beta-rule and splitting (3399), into two cases.
% 53.94/15.67  								|-Branch one:
% 53.94/15.67  								| (3406) s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0)))
% 53.94/15.67  								|
% 53.94/15.67  									| Applying alpha-rule on (3406) yields:
% 53.94/15.67  									| (47) s(all_0_11_11) = all_0_10_10
% 53.94/15.67  									| (48)  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 53.94/15.67  									| (49)  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0))
% 53.94/15.67  									| (3410) (all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0))
% 53.94/15.67  									|
% 53.94/15.67  									| Instantiating formula (220) with all_0_10_10, all_0_11_11 and discharging atoms s(all_0_11_11) = all_0_10_10, yields:
% 53.94/15.67  									| (58) all_0_10_10 = 0
% 53.94/15.67  									|
% 53.94/15.67  									| From (58) and (47) follows:
% 53.94/15.67  									| (138) s(all_0_11_11) = 0
% 53.94/15.67  									|
% 53.94/15.67  									+-Applying beta-rule and splitting (3398), into two cases.
% 53.94/15.67  									|-Branch one:
% 53.94/15.67  									| (3400) all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & s(all_0_15_15) = 0 & p(all_0_17_17) = all_0_16_16
% 53.94/15.67  									|
% 53.94/15.67  										| Applying alpha-rule on (3400) yields:
% 53.94/15.67  										| (74) all_0_14_14 = 0
% 53.94/15.67  										| (71)  ~ (all_0_16_16 = 0)
% 53.94/15.67  										| (1521) s(all_0_15_15) = 0
% 53.94/15.67  										| (1962) p(all_0_17_17) = all_0_16_16
% 53.94/15.67  										|
% 53.94/15.67  										| Instantiating formula (13) with all_0_16_16, all_0_17_17 and discharging atoms p(all_0_17_17) = all_0_16_16, yields:
% 53.94/15.67  										| (1964)  ~ (all_0_0_0 = 0) | all_0_16_16 = 0
% 53.94/15.67  										|
% 53.94/15.67  										+-Applying beta-rule and splitting (3410), into two cases.
% 53.94/15.67  										|-Branch one:
% 53.94/15.67  										| (3412) all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.94/15.67  										|
% 53.94/15.67  											| Applying alpha-rule on (3412) yields:
% 53.94/15.67  											| (66) all_0_12_12 = 0
% 53.94/15.67  											| (69) p(all_0_13_13) = 0
% 53.94/15.67  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.94/15.67  											|
% 53.94/15.67  											+-Applying beta-rule and splitting (1964), into two cases.
% 53.94/15.67  											|-Branch one:
% 53.94/15.67  											| (102)  ~ (all_0_0_0 = 0)
% 53.94/15.67  											|
% 53.94/15.67  												| Instantiating formula (14) with all_0_13_13 and discharging atoms p(all_0_13_13) = 0, yields:
% 53.94/15.67  												| (63) all_0_0_0 = 0
% 53.94/15.67  												|
% 53.94/15.67  												| Equations (63) can reduce 102 to:
% 53.94/15.67  												| (59) $false
% 53.94/15.67  												|
% 53.94/15.67  												|-The branch is then unsatisfiable
% 53.94/15.67  											|-Branch two:
% 53.94/15.67  											| (63) all_0_0_0 = 0
% 53.94/15.67  											| (42) all_0_16_16 = 0
% 53.94/15.67  											|
% 53.94/15.67  												| Equations (42) can reduce 71 to:
% 53.94/15.67  												| (59) $false
% 53.94/15.67  												|
% 53.94/15.67  												|-The branch is then unsatisfiable
% 53.94/15.67  										|-Branch two:
% 53.94/15.67  										| (3418)  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0)
% 53.94/15.67  										|
% 53.94/15.67  											| Applying alpha-rule on (3418) yields:
% 53.94/15.67  											| (135)  ~ (all_0_12_12 = 0)
% 53.94/15.67  											| (3420) q(all_0_13_13) = all_0_12_12
% 53.94/15.67  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 53.94/15.67  											|
% 53.94/15.67  											| Instantiating formula (717) with all_0_12_12, all_0_13_13 and discharging atoms q(all_0_13_13) = all_0_12_12, yields:
% 53.94/15.67  											| (4357)  ? [v0] :  ? [v1] : (( ~ (all_0_12_12 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_0_12_12 = 0 | (v1 = 0 & q(v0) = 0)))
% 53.94/15.67  											|
% 53.94/15.67  											| Instantiating (4357) with all_85_0_2576, all_85_1_2577 yields:
% 53.94/15.67  											| (5250) ( ~ (all_0_12_12 = 0) | ( ~ (all_85_0_2576 = 0) & q(all_85_1_2577) = all_85_0_2576)) & (all_0_12_12 = 0 | (all_85_0_2576 = 0 & q(all_85_1_2577) = 0))
% 53.94/15.67  											|
% 53.94/15.67  											| Applying alpha-rule on (5250) yields:
% 53.94/15.67  											| (5251)  ~ (all_0_12_12 = 0) | ( ~ (all_85_0_2576 = 0) & q(all_85_1_2577) = all_85_0_2576)
% 53.94/15.67  											| (5252) all_0_12_12 = 0 | (all_85_0_2576 = 0 & q(all_85_1_2577) = 0)
% 53.94/15.67  											|
% 53.94/15.67  											+-Applying beta-rule and splitting (5252), into two cases.
% 53.94/15.67  											|-Branch one:
% 53.94/15.67  											| (66) all_0_12_12 = 0
% 53.94/15.67  											|
% 53.94/15.67  												| Equations (66) can reduce 135 to:
% 53.94/15.67  												| (59) $false
% 53.94/15.67  												|
% 53.94/15.67  												|-The branch is then unsatisfiable
% 53.94/15.67  											|-Branch two:
% 53.94/15.67  											| (135)  ~ (all_0_12_12 = 0)
% 53.94/15.67  											| (5256) all_85_0_2576 = 0 & q(all_85_1_2577) = 0
% 53.94/15.67  											|
% 53.94/15.67  												| Applying alpha-rule on (5256) yields:
% 53.94/15.67  												| (5257) all_85_0_2576 = 0
% 53.94/15.67  												| (5258) q(all_85_1_2577) = 0
% 53.94/15.67  												|
% 53.94/15.67  												| Instantiating formula (212) with all_85_1_2577 and discharging atoms q(all_85_1_2577) = 0, yields:
% 53.94/15.67  												| (79) $false
% 53.94/15.67  												|
% 53.94/15.67  												|-The branch is then unsatisfiable
% 53.94/15.67  									|-Branch two:
% 53.94/15.67  									| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 53.94/15.67  									|
% 53.94/15.67  										| Applying alpha-rule on (60) yields:
% 53.94/15.67  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.94/15.67  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 53.94/15.67  										|
% 53.94/15.67  										| Instantiating formula (62) with all_0_11_11 and discharging atoms s(all_0_11_11) = 0, yields:
% 53.94/15.67  										| (79) $false
% 53.94/15.67  										|
% 53.94/15.67  										|-The branch is then unsatisfiable
% 53.94/15.67  								|-Branch two:
% 53.94/15.67  								| (3431)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 53.94/15.67  								|
% 53.94/15.67  									| Applying alpha-rule on (3431) yields:
% 53.94/15.67  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 53.94/15.67  									| (3433) (all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 53.94/15.67  									|
% 53.94/15.67  									+-Applying beta-rule and splitting (3398), into two cases.
% 53.94/15.67  									|-Branch one:
% 53.94/15.67  									| (3400) all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & s(all_0_15_15) = 0 & p(all_0_17_17) = all_0_16_16
% 53.94/15.67  									|
% 53.94/15.67  										| Applying alpha-rule on (3400) yields:
% 53.94/15.67  										| (74) all_0_14_14 = 0
% 53.94/15.67  										| (71)  ~ (all_0_16_16 = 0)
% 53.94/15.67  										| (1521) s(all_0_15_15) = 0
% 53.94/15.67  										| (1962) p(all_0_17_17) = all_0_16_16
% 53.94/15.67  										|
% 53.94/15.67  										| Instantiating formula (84) with 0, all_0_15_15 and discharging atoms s(all_0_15_15) = 0, yields:
% 53.94/15.67  										| (278)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & s(v0) = v1)
% 53.94/15.67  										|
% 53.94/15.67  										| Instantiating (278) with all_65_0_2578, all_65_1_2579 yields:
% 53.94/15.67  										| (5273)  ~ (all_65_0_2578 = 0) & s(all_65_1_2579) = all_65_0_2578
% 53.94/15.67  										|
% 53.94/15.67  										| Applying alpha-rule on (5273) yields:
% 53.94/15.67  										| (5274)  ~ (all_65_0_2578 = 0)
% 53.94/15.67  										| (5275) s(all_65_1_2579) = all_65_0_2578
% 53.94/15.67  										|
% 53.94/15.67  										| Instantiating formula (220) with all_65_0_2578, all_65_1_2579 and discharging atoms s(all_65_1_2579) = all_65_0_2578, yields:
% 53.94/15.67  										| (5276) all_65_0_2578 = 0
% 53.94/15.67  										|
% 53.94/15.67  										| Equations (5276) can reduce 5274 to:
% 53.94/15.67  										| (59) $false
% 53.94/15.67  										|
% 53.94/15.67  										|-The branch is then unsatisfiable
% 53.94/15.67  									|-Branch two:
% 53.94/15.67  									| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 53.94/15.67  									|
% 53.94/15.67  										| Applying alpha-rule on (60) yields:
% 53.94/15.67  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.94/15.67  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 53.94/15.67  										|
% 53.94/15.67  										| Instantiating formula (61) with all_0_0_0, all_0_1_1 and discharging atoms p(all_0_1_1) = all_0_0_0, yields:
% 53.94/15.67  										| (63) all_0_0_0 = 0
% 53.94/15.67  										|
% 53.94/15.67  										| From (63) and (12) follows:
% 53.94/15.67  										| (64) p(all_0_1_1) = 0
% 53.94/15.67  										|
% 53.94/15.67  										+-Applying beta-rule and splitting (3433), into two cases.
% 53.94/15.67  										|-Branch one:
% 53.94/15.67  										| (3456) all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0
% 53.94/15.67  										|
% 53.94/15.67  											| Applying alpha-rule on (3456) yields:
% 53.94/15.67  											| (58) all_0_10_10 = 0
% 53.94/15.67  											| (135)  ~ (all_0_12_12 = 0)
% 53.94/15.67  											| (3420) q(all_0_13_13) = all_0_12_12
% 53.94/15.67  											| (521) p(all_0_11_11) = 0
% 53.94/15.67  											|
% 53.94/15.67  											| Instantiating formula (717) with all_0_12_12, all_0_13_13 and discharging atoms q(all_0_13_13) = all_0_12_12, yields:
% 53.94/15.67  											| (4357)  ? [v0] :  ? [v1] : (( ~ (all_0_12_12 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_0_12_12 = 0 | (v1 = 0 & q(v0) = 0)))
% 53.94/15.67  											|
% 53.94/15.67  											| Instantiating (4357) with all_73_0_2580, all_73_1_2581 yields:
% 53.94/15.68  											| (5289) ( ~ (all_0_12_12 = 0) | ( ~ (all_73_0_2580 = 0) & q(all_73_1_2581) = all_73_0_2580)) & (all_0_12_12 = 0 | (all_73_0_2580 = 0 & q(all_73_1_2581) = 0))
% 53.94/15.68  											|
% 53.94/15.68  											| Applying alpha-rule on (5289) yields:
% 53.94/15.68  											| (5290)  ~ (all_0_12_12 = 0) | ( ~ (all_73_0_2580 = 0) & q(all_73_1_2581) = all_73_0_2580)
% 53.94/15.68  											| (5291) all_0_12_12 = 0 | (all_73_0_2580 = 0 & q(all_73_1_2581) = 0)
% 53.94/15.68  											|
% 53.94/15.68  											+-Applying beta-rule and splitting (5291), into two cases.
% 53.94/15.68  											|-Branch one:
% 53.94/15.68  											| (66) all_0_12_12 = 0
% 53.94/15.68  											|
% 53.94/15.68  												| Equations (66) can reduce 135 to:
% 53.94/15.68  												| (59) $false
% 53.94/15.68  												|
% 53.94/15.68  												|-The branch is then unsatisfiable
% 53.94/15.68  											|-Branch two:
% 53.94/15.68  											| (135)  ~ (all_0_12_12 = 0)
% 53.94/15.68  											| (5295) all_73_0_2580 = 0 & q(all_73_1_2581) = 0
% 53.94/15.68  											|
% 53.94/15.68  												| Applying alpha-rule on (5295) yields:
% 53.94/15.68  												| (5296) all_73_0_2580 = 0
% 53.94/15.68  												| (5297) q(all_73_1_2581) = 0
% 53.94/15.68  												|
% 53.94/15.68  												| Instantiating formula (212) with all_73_1_2581 and discharging atoms q(all_73_1_2581) = 0, yields:
% 53.94/15.68  												| (79) $false
% 53.94/15.68  												|
% 53.94/15.68  												|-The branch is then unsatisfiable
% 53.94/15.68  										|-Branch two:
% 53.94/15.68  										| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 53.94/15.68  										|
% 53.94/15.68  											| Applying alpha-rule on (76) yields:
% 53.94/15.68  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.94/15.68  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 53.94/15.68  											|
% 53.94/15.68  											| Instantiating formula (78) with all_0_1_1 and discharging atoms p(all_0_1_1) = 0, yields:
% 53.94/15.68  											| (79) $false
% 53.94/15.68  											|
% 53.94/15.68  											|-The branch is then unsatisfiable
% 53.94/15.68  					|-Branch two:
% 53.94/15.68  					| (5303)  ~ (all_0_6_6 = 0) & s(all_0_7_7) = all_0_6_6 &  ! [v0] :  ~ (r(v0) = 0)
% 53.94/15.68  					|
% 53.94/15.68  						| Applying alpha-rule on (5303) yields:
% 53.94/15.68  						| (2980)  ~ (all_0_6_6 = 0)
% 53.94/15.68  						| (4427) s(all_0_7_7) = all_0_6_6
% 53.94/15.68  						| (221)  ! [v0] :  ~ (r(v0) = 0)
% 53.94/15.68  						|
% 53.94/15.68  						+-Applying beta-rule and splitting (2954), into two cases.
% 53.94/15.68  						|-Branch one:
% 53.94/15.68  						| (2974) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & r(all_0_21_21) = all_0_20_20 & q(all_0_19_19) = 0
% 53.94/15.68  						|
% 53.94/15.68  							| Applying alpha-rule on (2974) yields:
% 53.94/15.68  							| (33) all_0_18_18 = 0
% 53.94/15.68  							| (34)  ~ (all_0_20_20 = 0)
% 53.94/15.68  							| (2977) r(all_0_21_21) = all_0_20_20
% 53.94/15.68  							| (2978) q(all_0_19_19) = 0
% 53.94/15.68  							|
% 53.94/15.68  							| Instantiating formula (717) with 0, all_0_19_19 and discharging atoms q(all_0_19_19) = 0, yields:
% 53.94/15.68  							| (733)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & q(v0) = v1)
% 53.94/15.68  							|
% 53.94/15.68  							| Instantiating (733) with all_52_0_2582, all_52_1_2583 yields:
% 53.94/15.68  							| (5313)  ~ (all_52_0_2582 = 0) & q(all_52_1_2583) = all_52_0_2582
% 53.94/15.68  							|
% 53.94/15.68  							| Applying alpha-rule on (5313) yields:
% 53.94/15.68  							| (5314)  ~ (all_52_0_2582 = 0)
% 53.94/15.68  							| (5315) q(all_52_1_2583) = all_52_0_2582
% 53.94/15.68  							|
% 53.94/15.68  							| Instantiating formula (717) with all_52_0_2582, all_52_1_2583 and discharging atoms q(all_52_1_2583) = all_52_0_2582, yields:
% 53.94/15.68  							| (5316)  ? [v0] :  ? [v1] : (( ~ (all_52_0_2582 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_52_0_2582 = 0 | (v1 = 0 & q(v0) = 0)))
% 53.94/15.68  							|
% 53.94/15.68  							| Instantiating (5316) with all_63_0_2584, all_63_1_2585 yields:
% 53.94/15.68  							| (5317) ( ~ (all_52_0_2582 = 0) | ( ~ (all_63_0_2584 = 0) & q(all_63_1_2585) = all_63_0_2584)) & (all_52_0_2582 = 0 | (all_63_0_2584 = 0 & q(all_63_1_2585) = 0))
% 53.94/15.68  							|
% 53.94/15.68  							| Applying alpha-rule on (5317) yields:
% 53.94/15.68  							| (5318)  ~ (all_52_0_2582 = 0) | ( ~ (all_63_0_2584 = 0) & q(all_63_1_2585) = all_63_0_2584)
% 53.94/15.68  							| (5319) all_52_0_2582 = 0 | (all_63_0_2584 = 0 & q(all_63_1_2585) = 0)
% 53.94/15.68  							|
% 53.94/15.68  							+-Applying beta-rule and splitting (3308), into two cases.
% 53.94/15.68  							|-Branch one:
% 53.94/15.68  							| (3323) ((all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))))
% 53.94/15.68  							|
% 53.94/15.68  								| Applying alpha-rule on (3323) yields:
% 53.94/15.68  								| (127) (all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))
% 53.94/15.68  								| (2990) (s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0))))
% 53.94/15.68  								|
% 53.94/15.68  								+-Applying beta-rule and splitting (2990), into two cases.
% 53.94/15.68  								|-Branch one:
% 53.94/15.68  								| (2991) s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 53.94/15.68  								|
% 53.94/15.68  									| Applying alpha-rule on (2991) yields:
% 53.94/15.68  									| (130) s(all_0_13_13) = all_0_12_12
% 53.94/15.68  									| (131)  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 53.94/15.68  									| (132)  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0))
% 53.94/15.68  									| (1625) (all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 53.94/15.68  									|
% 53.94/15.68  									| Instantiating formula (131) with all_0_6_6, all_0_7_7 and discharging atoms s(all_0_7_7) = all_0_6_6, yields:
% 53.94/15.68  									| (4452)  ~ (all_0_12_12 = 0) | all_0_6_6 = 0
% 53.94/15.68  									|
% 53.94/15.68  									+-Applying beta-rule and splitting (5319), into two cases.
% 53.94/15.68  									|-Branch one:
% 53.94/15.68  									| (5329) all_52_0_2582 = 0
% 53.94/15.68  									|
% 53.94/15.68  										| Equations (5329) can reduce 5314 to:
% 53.94/15.68  										| (59) $false
% 53.94/15.68  										|
% 53.94/15.68  										|-The branch is then unsatisfiable
% 53.94/15.68  									|-Branch two:
% 53.94/15.68  									| (5314)  ~ (all_52_0_2582 = 0)
% 53.94/15.68  									| (5332) all_63_0_2584 = 0 & q(all_63_1_2585) = 0
% 53.94/15.68  									|
% 53.94/15.68  										+-Applying beta-rule and splitting (4452), into two cases.
% 53.94/15.68  										|-Branch one:
% 53.94/15.68  										| (135)  ~ (all_0_12_12 = 0)
% 53.94/15.68  										|
% 53.94/15.68  											+-Applying beta-rule and splitting (127), into two cases.
% 53.94/15.68  											|-Branch one:
% 53.94/15.68  											| (136) all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.94/15.68  											|
% 53.94/15.68  												| Applying alpha-rule on (136) yields:
% 53.94/15.68  												| (58) all_0_10_10 = 0
% 53.94/15.68  												| (138) s(all_0_11_11) = 0
% 53.94/15.68  												| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.94/15.68  												|
% 53.94/15.68  												| Instantiating formula (132) with all_0_11_11 and discharging atoms s(all_0_11_11) = 0, yields:
% 53.94/15.68  												| (66) all_0_12_12 = 0
% 53.94/15.68  												|
% 53.94/15.68  												| Equations (66) can reduce 135 to:
% 53.94/15.68  												| (59) $false
% 53.94/15.68  												|
% 53.94/15.68  												|-The branch is then unsatisfiable
% 53.94/15.68  											|-Branch two:
% 53.94/15.68  											| (142)  ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0)
% 53.94/15.68  											|
% 53.94/15.68  												| Applying alpha-rule on (142) yields:
% 53.94/15.68  												| (52)  ~ (all_0_10_10 = 0)
% 53.94/15.68  												| (144) p(all_0_11_11) = all_0_10_10
% 53.94/15.68  												| (62)  ! [v0] :  ~ (s(v0) = 0)
% 53.94/15.68  												|
% 53.94/15.68  												| Instantiating formula (13) with all_0_10_10, all_0_11_11 and discharging atoms p(all_0_11_11) = all_0_10_10, yields:
% 53.94/15.68  												| (146)  ~ (all_0_0_0 = 0) | all_0_10_10 = 0
% 53.94/15.68  												|
% 53.94/15.68  												+-Applying beta-rule and splitting (146), into two cases.
% 53.94/15.68  												|-Branch one:
% 53.94/15.68  												| (102)  ~ (all_0_0_0 = 0)
% 53.94/15.68  												|
% 53.94/15.68  													+-Applying beta-rule and splitting (1625), into two cases.
% 53.94/15.68  													|-Branch one:
% 53.94/15.68  													| (1642) all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0
% 53.94/15.68  													|
% 53.94/15.68  														| Applying alpha-rule on (1642) yields:
% 53.94/15.68  														| (74) all_0_14_14 = 0
% 53.94/15.68  														| (71)  ~ (all_0_16_16 = 0)
% 53.94/15.68  														| (23) q(all_0_17_17) = all_0_16_16
% 53.94/15.68  														| (105) p(all_0_15_15) = 0
% 53.94/15.68  														|
% 53.94/15.68  														| Instantiating formula (14) with all_0_15_15 and discharging atoms p(all_0_15_15) = 0, yields:
% 53.94/15.68  														| (63) all_0_0_0 = 0
% 53.94/15.68  														|
% 53.94/15.69  														| Equations (63) can reduce 102 to:
% 53.94/15.69  														| (59) $false
% 53.94/15.69  														|
% 53.94/15.69  														|-The branch is then unsatisfiable
% 53.94/15.69  													|-Branch two:
% 53.94/15.69  													| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 53.94/15.69  													|
% 53.94/15.69  														| Applying alpha-rule on (76) yields:
% 53.94/15.69  														| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.94/15.69  														| (78)  ! [v0] :  ~ (p(v0) = 0)
% 53.94/15.69  														|
% 53.94/15.69  														| Instantiating formula (77) with all_52_0_2582, all_52_1_2583 and discharging atoms q(all_52_1_2583) = all_52_0_2582, yields:
% 53.94/15.69  														| (5329) all_52_0_2582 = 0
% 53.94/15.69  														|
% 53.94/15.69  														| Equations (5329) can reduce 5314 to:
% 53.94/15.69  														| (59) $false
% 53.94/15.69  														|
% 53.94/15.69  														|-The branch is then unsatisfiable
% 53.94/15.69  												|-Branch two:
% 53.94/15.69  												| (63) all_0_0_0 = 0
% 53.94/15.69  												| (58) all_0_10_10 = 0
% 53.94/15.69  												|
% 53.94/15.69  													| Equations (58) can reduce 52 to:
% 53.94/15.69  													| (59) $false
% 53.94/15.69  													|
% 53.94/15.69  													|-The branch is then unsatisfiable
% 53.94/15.69  										|-Branch two:
% 53.94/15.69  										| (66) all_0_12_12 = 0
% 53.94/15.69  										| (54) all_0_6_6 = 0
% 53.94/15.69  										|
% 53.94/15.69  											| Equations (54) can reduce 2980 to:
% 53.94/15.69  											| (59) $false
% 53.94/15.69  											|
% 53.94/15.69  											|-The branch is then unsatisfiable
% 53.94/15.69  								|-Branch two:
% 53.94/15.69  								| (3025)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))
% 53.94/15.69  								|
% 53.94/15.69  									| Applying alpha-rule on (3025) yields:
% 53.94/15.69  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 53.94/15.69  									| (1590) (all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0))
% 53.94/15.69  									|
% 53.94/15.69  									| Instantiating formula (84) with all_0_6_6, all_0_7_7 and discharging atoms s(all_0_7_7) = all_0_6_6, yields:
% 53.94/15.69  									| (4488)  ? [v0] :  ? [v1] : (( ~ (all_0_6_6 = 0) | ( ~ (v1 = 0) & s(v0) = v1)) & (all_0_6_6 = 0 | (v1 = 0 & s(v0) = 0)))
% 53.94/15.69  									|
% 53.94/15.69  									| Instantiating (4488) with all_67_0_2594, all_67_1_2595 yields:
% 53.94/15.69  									| (5368) ( ~ (all_0_6_6 = 0) | ( ~ (all_67_0_2594 = 0) & s(all_67_1_2595) = all_67_0_2594)) & (all_0_6_6 = 0 | (all_67_0_2594 = 0 & s(all_67_1_2595) = 0))
% 53.94/15.69  									|
% 53.94/15.69  									| Applying alpha-rule on (5368) yields:
% 53.94/15.69  									| (5369)  ~ (all_0_6_6 = 0) | ( ~ (all_67_0_2594 = 0) & s(all_67_1_2595) = all_67_0_2594)
% 53.94/15.69  									| (5370) all_0_6_6 = 0 | (all_67_0_2594 = 0 & s(all_67_1_2595) = 0)
% 53.94/15.69  									|
% 53.94/15.69  									+-Applying beta-rule and splitting (5370), into two cases.
% 53.94/15.69  									|-Branch one:
% 53.94/15.69  									| (54) all_0_6_6 = 0
% 53.94/15.69  									|
% 53.94/15.69  										| Equations (54) can reduce 2980 to:
% 53.94/15.69  										| (59) $false
% 53.94/15.69  										|
% 53.94/15.69  										|-The branch is then unsatisfiable
% 53.94/15.69  									|-Branch two:
% 53.94/15.69  									| (2980)  ~ (all_0_6_6 = 0)
% 53.94/15.69  									| (5374) all_67_0_2594 = 0 & s(all_67_1_2595) = 0
% 53.94/15.69  									|
% 53.94/15.69  										| Applying alpha-rule on (5374) yields:
% 53.94/15.69  										| (5375) all_67_0_2594 = 0
% 53.94/15.69  										| (5376) s(all_67_1_2595) = 0
% 53.94/15.69  										|
% 53.94/15.69  										+-Applying beta-rule and splitting (5319), into two cases.
% 53.94/15.69  										|-Branch one:
% 53.94/15.69  										| (5329) all_52_0_2582 = 0
% 53.94/15.69  										|
% 53.94/15.69  											| Equations (5329) can reduce 5314 to:
% 53.94/15.69  											| (59) $false
% 53.94/15.69  											|
% 53.94/15.69  											|-The branch is then unsatisfiable
% 53.94/15.69  										|-Branch two:
% 53.94/15.69  										| (5314)  ~ (all_52_0_2582 = 0)
% 53.94/15.69  										| (5332) all_63_0_2584 = 0 & q(all_63_1_2585) = 0
% 53.94/15.69  										|
% 53.94/15.69  											+-Applying beta-rule and splitting (127), into two cases.
% 53.94/15.69  											|-Branch one:
% 53.94/15.69  											| (136) all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.94/15.69  											|
% 53.94/15.69  												| Applying alpha-rule on (136) yields:
% 53.94/15.69  												| (58) all_0_10_10 = 0
% 53.94/15.69  												| (138) s(all_0_11_11) = 0
% 53.94/15.69  												| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.94/15.69  												|
% 53.94/15.69  												| Instantiating formula (61) with all_0_0_0, all_0_1_1 and discharging atoms p(all_0_1_1) = all_0_0_0, yields:
% 53.94/15.69  												| (63) all_0_0_0 = 0
% 53.94/15.69  												|
% 53.94/15.69  												| From (63) and (12) follows:
% 53.94/15.69  												| (64) p(all_0_1_1) = 0
% 53.94/15.69  												|
% 53.94/15.69  												+-Applying beta-rule and splitting (1590), into two cases.
% 53.94/15.69  												|-Branch one:
% 53.94/15.69  												| (1599) all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.94/15.69  												|
% 53.94/15.69  													| Applying alpha-rule on (1599) yields:
% 53.94/15.69  													| (42) all_0_16_16 = 0
% 53.94/15.69  													| (1601) p(all_0_17_17) = 0
% 53.94/15.69  													| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.94/15.69  													|
% 53.94/15.69  													| Instantiating formula (77) with all_52_0_2582, all_52_1_2583 and discharging atoms q(all_52_1_2583) = all_52_0_2582, yields:
% 53.94/15.69  													| (5329) all_52_0_2582 = 0
% 53.94/15.69  													|
% 53.94/15.69  													| Equations (5329) can reduce 5314 to:
% 53.94/15.69  													| (59) $false
% 53.94/15.69  													|
% 53.94/15.69  													|-The branch is then unsatisfiable
% 53.94/15.69  												|-Branch two:
% 53.94/15.69  												| (1609)  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)
% 53.94/15.69  												|
% 53.94/15.69  													| Applying alpha-rule on (1609) yields:
% 53.94/15.69  													| (71)  ~ (all_0_16_16 = 0)
% 53.94/15.69  													| (23) q(all_0_17_17) = all_0_16_16
% 53.94/15.69  													| (78)  ! [v0] :  ~ (p(v0) = 0)
% 53.94/15.69  													|
% 53.94/15.69  													| Instantiating formula (78) with all_0_1_1 and discharging atoms p(all_0_1_1) = 0, yields:
% 53.94/15.69  													| (79) $false
% 53.94/15.69  													|
% 53.94/15.69  													|-The branch is then unsatisfiable
% 53.94/15.69  											|-Branch two:
% 53.94/15.69  											| (142)  ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0)
% 53.94/15.69  											|
% 53.94/15.69  												| Applying alpha-rule on (142) yields:
% 53.94/15.69  												| (52)  ~ (all_0_10_10 = 0)
% 53.94/15.69  												| (144) p(all_0_11_11) = all_0_10_10
% 53.94/15.69  												| (62)  ! [v0] :  ~ (s(v0) = 0)
% 53.94/15.69  												|
% 53.94/15.69  												| Instantiating formula (62) with all_67_1_2595 and discharging atoms s(all_67_1_2595) = 0, yields:
% 53.94/15.69  												| (79) $false
% 53.94/15.69  												|
% 53.94/15.69  												|-The branch is then unsatisfiable
% 53.94/15.69  							|-Branch two:
% 53.94/15.69  							| (3397) ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & s(all_0_15_15) = 0 & p(all_0_17_17) = all_0_16_16) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))
% 53.94/15.69  							|
% 53.94/15.69  								| Applying alpha-rule on (3397) yields:
% 53.94/15.69  								| (3398) (all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & s(all_0_15_15) = 0 & p(all_0_17_17) = all_0_16_16) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))
% 53.94/15.69  								| (3399) (s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))
% 53.94/15.69  								|
% 53.94/15.69  								+-Applying beta-rule and splitting (3399), into two cases.
% 53.94/15.69  								|-Branch one:
% 53.94/15.69  								| (3406) s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0)))
% 53.94/15.69  								|
% 53.94/15.69  									| Applying alpha-rule on (3406) yields:
% 53.94/15.69  									| (47) s(all_0_11_11) = all_0_10_10
% 53.94/15.69  									| (48)  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 53.94/15.69  									| (49)  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0))
% 53.94/15.70  									| (3410) (all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0))
% 53.94/15.70  									|
% 53.94/15.70  									| Instantiating formula (48) with all_0_6_6, all_0_7_7 and discharging atoms s(all_0_7_7) = all_0_6_6, yields:
% 53.94/15.70  									| (4529)  ~ (all_0_10_10 = 0) | all_0_6_6 = 0
% 53.94/15.70  									|
% 53.94/15.70  									+-Applying beta-rule and splitting (5319), into two cases.
% 53.94/15.70  									|-Branch one:
% 53.94/15.70  									| (5329) all_52_0_2582 = 0
% 53.94/15.70  									|
% 53.94/15.70  										| Equations (5329) can reduce 5314 to:
% 53.94/15.70  										| (59) $false
% 53.94/15.70  										|
% 53.94/15.70  										|-The branch is then unsatisfiable
% 53.94/15.70  									|-Branch two:
% 53.94/15.70  									| (5314)  ~ (all_52_0_2582 = 0)
% 53.94/15.70  									| (5332) all_63_0_2584 = 0 & q(all_63_1_2585) = 0
% 53.94/15.70  									|
% 53.94/15.70  										+-Applying beta-rule and splitting (4529), into two cases.
% 53.94/15.70  										|-Branch one:
% 53.94/15.70  										| (52)  ~ (all_0_10_10 = 0)
% 53.94/15.70  										|
% 53.94/15.70  											+-Applying beta-rule and splitting (3398), into two cases.
% 53.94/15.70  											|-Branch one:
% 53.94/15.70  											| (3400) all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & s(all_0_15_15) = 0 & p(all_0_17_17) = all_0_16_16
% 53.94/15.70  											|
% 53.94/15.70  												| Applying alpha-rule on (3400) yields:
% 53.94/15.70  												| (74) all_0_14_14 = 0
% 53.94/15.70  												| (71)  ~ (all_0_16_16 = 0)
% 53.94/15.70  												| (1521) s(all_0_15_15) = 0
% 53.94/15.70  												| (1962) p(all_0_17_17) = all_0_16_16
% 53.94/15.70  												|
% 53.94/15.70  												| Instantiating formula (49) with all_0_15_15 and discharging atoms s(all_0_15_15) = 0, yields:
% 53.94/15.70  												| (58) all_0_10_10 = 0
% 53.94/15.70  												|
% 53.94/15.70  												| Equations (58) can reduce 52 to:
% 53.94/15.70  												| (59) $false
% 53.94/15.70  												|
% 53.94/15.70  												|-The branch is then unsatisfiable
% 53.94/15.70  											|-Branch two:
% 53.94/15.70  											| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 53.94/15.70  											|
% 53.94/15.70  												| Applying alpha-rule on (60) yields:
% 53.94/15.70  												| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.94/15.70  												| (62)  ! [v0] :  ~ (s(v0) = 0)
% 53.94/15.70  												|
% 53.94/15.70  												| Instantiating formula (61) with all_0_0_0, all_0_1_1 and discharging atoms p(all_0_1_1) = all_0_0_0, yields:
% 53.94/15.70  												| (63) all_0_0_0 = 0
% 53.94/15.70  												|
% 53.94/15.70  												| From (63) and (12) follows:
% 53.94/15.70  												| (64) p(all_0_1_1) = 0
% 53.94/15.70  												|
% 53.94/15.70  												+-Applying beta-rule and splitting (3410), into two cases.
% 53.94/15.70  												|-Branch one:
% 53.94/15.70  												| (3412) all_0_12_12 = 0 & p(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.94/15.70  												|
% 53.94/15.70  													| Applying alpha-rule on (3412) yields:
% 53.94/15.70  													| (66) all_0_12_12 = 0
% 53.94/15.70  													| (69) p(all_0_13_13) = 0
% 53.94/15.70  													| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.94/15.70  													|
% 53.94/15.70  													| Instantiating formula (77) with all_52_0_2582, all_52_1_2583 and discharging atoms q(all_52_1_2583) = all_52_0_2582, yields:
% 53.94/15.70  													| (5329) all_52_0_2582 = 0
% 53.94/15.70  													|
% 53.94/15.70  													| Equations (5329) can reduce 5314 to:
% 53.94/15.70  													| (59) $false
% 53.94/15.70  													|
% 53.94/15.70  													|-The branch is then unsatisfiable
% 53.94/15.70  												|-Branch two:
% 53.94/15.70  												| (3418)  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (p(v0) = 0)
% 53.94/15.70  												|
% 53.94/15.70  													| Applying alpha-rule on (3418) yields:
% 53.94/15.70  													| (135)  ~ (all_0_12_12 = 0)
% 53.94/15.70  													| (3420) q(all_0_13_13) = all_0_12_12
% 53.94/15.70  													| (78)  ! [v0] :  ~ (p(v0) = 0)
% 53.94/15.70  													|
% 53.94/15.70  													| Instantiating formula (78) with all_0_1_1 and discharging atoms p(all_0_1_1) = 0, yields:
% 53.94/15.70  													| (79) $false
% 53.94/15.70  													|
% 53.94/15.70  													|-The branch is then unsatisfiable
% 53.94/15.70  										|-Branch two:
% 53.94/15.70  										| (58) all_0_10_10 = 0
% 53.94/15.70  										| (54) all_0_6_6 = 0
% 53.94/15.70  										|
% 53.94/15.70  											| Equations (54) can reduce 2980 to:
% 53.94/15.70  											| (59) $false
% 53.94/15.70  											|
% 53.94/15.70  											|-The branch is then unsatisfiable
% 53.94/15.70  								|-Branch two:
% 53.94/15.70  								| (3431)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 53.94/15.70  								|
% 53.94/15.70  									| Applying alpha-rule on (3431) yields:
% 53.94/15.70  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 53.94/15.70  									| (3433) (all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 53.94/15.70  									|
% 53.94/15.70  									| Instantiating formula (84) with all_0_6_6, all_0_7_7 and discharging atoms s(all_0_7_7) = all_0_6_6, yields:
% 53.94/15.70  									| (4488)  ? [v0] :  ? [v1] : (( ~ (all_0_6_6 = 0) | ( ~ (v1 = 0) & s(v0) = v1)) & (all_0_6_6 = 0 | (v1 = 0 & s(v0) = 0)))
% 53.94/15.70  									|
% 53.94/15.70  									| Instantiating (4488) with all_67_0_2620, all_67_1_2621 yields:
% 53.94/15.70  									| (5447) ( ~ (all_0_6_6 = 0) | ( ~ (all_67_0_2620 = 0) & s(all_67_1_2621) = all_67_0_2620)) & (all_0_6_6 = 0 | (all_67_0_2620 = 0 & s(all_67_1_2621) = 0))
% 53.94/15.70  									|
% 53.94/15.70  									| Applying alpha-rule on (5447) yields:
% 53.94/15.70  									| (5448)  ~ (all_0_6_6 = 0) | ( ~ (all_67_0_2620 = 0) & s(all_67_1_2621) = all_67_0_2620)
% 53.94/15.70  									| (5449) all_0_6_6 = 0 | (all_67_0_2620 = 0 & s(all_67_1_2621) = 0)
% 53.94/15.70  									|
% 53.94/15.70  									+-Applying beta-rule and splitting (5449), into two cases.
% 53.94/15.70  									|-Branch one:
% 53.94/15.70  									| (54) all_0_6_6 = 0
% 53.94/15.70  									|
% 53.94/15.70  										| Equations (54) can reduce 2980 to:
% 53.94/15.70  										| (59) $false
% 53.94/15.70  										|
% 53.94/15.70  										|-The branch is then unsatisfiable
% 53.94/15.70  									|-Branch two:
% 53.94/15.70  									| (2980)  ~ (all_0_6_6 = 0)
% 53.94/15.70  									| (5453) all_67_0_2620 = 0 & s(all_67_1_2621) = 0
% 53.94/15.70  									|
% 53.94/15.70  										| Applying alpha-rule on (5453) yields:
% 53.94/15.70  										| (5454) all_67_0_2620 = 0
% 53.94/15.70  										| (5455) s(all_67_1_2621) = 0
% 53.94/15.70  										|
% 53.94/15.70  										+-Applying beta-rule and splitting (5319), into two cases.
% 53.94/15.70  										|-Branch one:
% 53.94/15.70  										| (5329) all_52_0_2582 = 0
% 53.94/15.70  										|
% 53.94/15.70  											| Equations (5329) can reduce 5314 to:
% 53.94/15.70  											| (59) $false
% 53.94/15.70  											|
% 53.94/15.70  											|-The branch is then unsatisfiable
% 53.94/15.70  										|-Branch two:
% 53.94/15.70  										| (5314)  ~ (all_52_0_2582 = 0)
% 53.94/15.70  										| (5332) all_63_0_2584 = 0 & q(all_63_1_2585) = 0
% 53.94/15.70  										|
% 53.94/15.70  											+-Applying beta-rule and splitting (3398), into two cases.
% 53.94/15.70  											|-Branch one:
% 53.94/15.70  											| (3400) all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & s(all_0_15_15) = 0 & p(all_0_17_17) = all_0_16_16
% 53.94/15.70  											|
% 53.94/15.70  												| Applying alpha-rule on (3400) yields:
% 53.94/15.70  												| (74) all_0_14_14 = 0
% 53.94/15.70  												| (71)  ~ (all_0_16_16 = 0)
% 53.94/15.70  												| (1521) s(all_0_15_15) = 0
% 53.94/15.70  												| (1962) p(all_0_17_17) = all_0_16_16
% 53.94/15.70  												|
% 53.94/15.70  												| Instantiating formula (13) with all_0_16_16, all_0_17_17 and discharging atoms p(all_0_17_17) = all_0_16_16, yields:
% 53.94/15.70  												| (1964)  ~ (all_0_0_0 = 0) | all_0_16_16 = 0
% 53.94/15.70  												|
% 53.94/15.70  												+-Applying beta-rule and splitting (1964), into two cases.
% 53.94/15.70  												|-Branch one:
% 53.94/15.70  												| (102)  ~ (all_0_0_0 = 0)
% 53.94/15.70  												|
% 53.94/15.70  													+-Applying beta-rule and splitting (3433), into two cases.
% 53.94/15.70  													|-Branch one:
% 53.94/15.70  													| (3456) all_0_10_10 = 0 &  ~ (all_0_12_12 = 0) & q(all_0_13_13) = all_0_12_12 & p(all_0_11_11) = 0
% 53.94/15.70  													|
% 53.94/15.70  														| Applying alpha-rule on (3456) yields:
% 53.94/15.70  														| (58) all_0_10_10 = 0
% 53.94/15.70  														| (135)  ~ (all_0_12_12 = 0)
% 53.94/15.70  														| (3420) q(all_0_13_13) = all_0_12_12
% 53.94/15.70  														| (521) p(all_0_11_11) = 0
% 53.94/15.70  														|
% 53.94/15.70  														| Instantiating formula (14) with all_0_11_11 and discharging atoms p(all_0_11_11) = 0, yields:
% 53.94/15.70  														| (63) all_0_0_0 = 0
% 53.94/15.70  														|
% 53.94/15.70  														| Equations (63) can reduce 102 to:
% 53.94/15.70  														| (59) $false
% 53.94/15.70  														|
% 53.94/15.70  														|-The branch is then unsatisfiable
% 53.94/15.70  													|-Branch two:
% 53.94/15.70  													| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 53.94/15.70  													|
% 53.94/15.70  														| Applying alpha-rule on (76) yields:
% 53.94/15.70  														| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 53.94/15.70  														| (78)  ! [v0] :  ~ (p(v0) = 0)
% 53.94/15.70  														|
% 53.94/15.70  														| Instantiating formula (77) with all_52_0_2582, all_52_1_2583 and discharging atoms q(all_52_1_2583) = all_52_0_2582, yields:
% 53.94/15.71  														| (5329) all_52_0_2582 = 0
% 53.94/15.71  														|
% 53.94/15.71  														| Equations (5329) can reduce 5314 to:
% 53.94/15.71  														| (59) $false
% 53.94/15.71  														|
% 53.94/15.71  														|-The branch is then unsatisfiable
% 53.94/15.71  												|-Branch two:
% 53.94/15.71  												| (63) all_0_0_0 = 0
% 53.94/15.71  												| (42) all_0_16_16 = 0
% 53.94/15.71  												|
% 53.94/15.71  													| Equations (42) can reduce 71 to:
% 53.94/15.71  													| (59) $false
% 53.94/15.71  													|
% 53.94/15.71  													|-The branch is then unsatisfiable
% 53.94/15.71  											|-Branch two:
% 53.94/15.71  											| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 53.94/15.71  											|
% 53.94/15.71  												| Applying alpha-rule on (60) yields:
% 53.94/15.71  												| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 53.94/15.71  												| (62)  ! [v0] :  ~ (s(v0) = 0)
% 53.94/15.71  												|
% 53.94/15.71  												| Instantiating formula (62) with all_67_1_2621 and discharging atoms s(all_67_1_2621) = 0, yields:
% 53.94/15.71  												| (79) $false
% 53.94/15.71  												|
% 53.94/15.71  												|-The branch is then unsatisfiable
% 53.94/15.71  						|-Branch two:
% 53.94/15.71  						| (2985)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] :  ~ (q(v0) = 0)
% 53.94/15.71  						|
% 53.94/15.71  							| Applying alpha-rule on (2985) yields:
% 53.94/15.71  							| (41)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 53.94/15.71  							| (212)  ! [v0] :  ~ (q(v0) = 0)
% 53.94/15.71  							|
% 53.94/15.71  							| Instantiating formula (41) with all_0_8_8, all_0_9_9 and discharging atoms r(all_0_9_9) = all_0_8_8, yields:
% 53.94/15.71  							| (120) all_0_8_8 = 0
% 53.94/15.71  							|
% 53.94/15.71  							| From (120) and (4420) follows:
% 53.94/15.71  							| (2195) r(all_0_9_9) = 0
% 53.94/15.71  							|
% 53.94/15.71  							| Instantiating formula (221) with all_0_9_9 and discharging atoms r(all_0_9_9) = 0, yields:
% 53.94/15.71  							| (79) $false
% 53.94/15.71  							|
% 53.94/15.71  							|-The branch is then unsatisfiable
% 53.94/15.71  				|-Branch two:
% 53.94/15.71  				| (4761)  ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_9_9) = 0 & p(all_0_11_11) = all_0_10_10) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_12_12 = 0 & s(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_12_12 = 0) & p(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))
% 54.16/15.71  				|
% 54.16/15.71  					| Applying alpha-rule on (4761) yields:
% 54.16/15.71  					| (370)  ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0))))
% 54.16/15.71  					| (2968) (((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_9_9) = 0 & p(all_0_11_11) = all_0_10_10) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_12_12 = 0 & s(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_12_12 = 0) & p(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))
% 54.16/15.71  					|
% 54.16/15.71  					+-Applying beta-rule and splitting (5110), into two cases.
% 54.16/15.71  					|-Branch one:
% 54.16/15.71  					| (5116) all_0_6_6 = 0 & r(all_0_7_7) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))
% 54.16/15.71  					|
% 54.16/15.71  						| Applying alpha-rule on (5116) yields:
% 54.16/15.71  						| (54) all_0_6_6 = 0
% 54.16/15.71  						| (3304) r(all_0_7_7) = 0
% 54.16/15.71  						| (220)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))
% 54.16/15.71  						|
% 54.16/15.71  						| Instantiating formula (370) with 0, all_0_7_7 and discharging atoms r(all_0_7_7) = 0, yields:
% 54.16/15.71  						| (377)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & r(v0) = v1)
% 54.16/15.71  						|
% 54.16/15.71  						| Instantiating (377) with all_41_0_2638, all_41_1_2639 yields:
% 54.16/15.71  						| (5500)  ~ (all_41_0_2638 = 0) & r(all_41_1_2639) = all_41_0_2638
% 54.16/15.71  						|
% 54.16/15.71  						| Applying alpha-rule on (5500) yields:
% 54.16/15.71  						| (5501)  ~ (all_41_0_2638 = 0)
% 54.16/15.71  						| (5502) r(all_41_1_2639) = all_41_0_2638
% 54.16/15.71  						|
% 54.16/15.71  						+-Applying beta-rule and splitting (2954), into two cases.
% 54.16/15.71  						|-Branch one:
% 54.16/15.71  						| (2974) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & r(all_0_21_21) = all_0_20_20 & q(all_0_19_19) = 0
% 54.16/15.71  						|
% 54.16/15.71  							| Applying alpha-rule on (2974) yields:
% 54.16/15.71  							| (33) all_0_18_18 = 0
% 54.16/15.71  							| (34)  ~ (all_0_20_20 = 0)
% 54.16/15.71  							| (2977) r(all_0_21_21) = all_0_20_20
% 54.16/15.71  							| (2978) q(all_0_19_19) = 0
% 54.16/15.71  							|
% 54.16/15.71  							| Instantiating formula (717) with 0, all_0_19_19 and discharging atoms q(all_0_19_19) = 0, yields:
% 54.16/15.71  							| (733)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & q(v0) = v1)
% 54.16/15.71  							|
% 54.16/15.71  							| Instantiating (733) with all_60_0_2642, all_60_1_2643 yields:
% 54.16/15.71  							| (5509)  ~ (all_60_0_2642 = 0) & q(all_60_1_2643) = all_60_0_2642
% 54.16/15.71  							|
% 54.16/15.71  							| Applying alpha-rule on (5509) yields:
% 54.16/15.71  							| (5510)  ~ (all_60_0_2642 = 0)
% 54.16/15.71  							| (5511) q(all_60_1_2643) = all_60_0_2642
% 54.16/15.71  							|
% 54.16/15.71  							| Instantiating formula (717) with all_60_0_2642, all_60_1_2643 and discharging atoms q(all_60_1_2643) = all_60_0_2642, yields:
% 54.16/15.71  							| (5512)  ? [v0] :  ? [v1] : (( ~ (all_60_0_2642 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_60_0_2642 = 0 | (v1 = 0 & q(v0) = 0)))
% 54.16/15.71  							|
% 54.16/15.71  							| Instantiating (5512) with all_74_0_2648, all_74_1_2649 yields:
% 54.16/15.71  							| (5513) ( ~ (all_60_0_2642 = 0) | ( ~ (all_74_0_2648 = 0) & q(all_74_1_2649) = all_74_0_2648)) & (all_60_0_2642 = 0 | (all_74_0_2648 = 0 & q(all_74_1_2649) = 0))
% 54.16/15.71  							|
% 54.16/15.71  							| Applying alpha-rule on (5513) yields:
% 54.16/15.71  							| (5514)  ~ (all_60_0_2642 = 0) | ( ~ (all_74_0_2648 = 0) & q(all_74_1_2649) = all_74_0_2648)
% 54.16/15.72  							| (5515) all_60_0_2642 = 0 | (all_74_0_2648 = 0 & q(all_74_1_2649) = 0)
% 54.16/15.72  							|
% 54.16/15.72  							+-Applying beta-rule and splitting (5515), into two cases.
% 54.16/15.72  							|-Branch one:
% 54.16/15.72  							| (5516) all_60_0_2642 = 0
% 54.16/15.72  							|
% 54.16/15.72  								| Equations (5516) can reduce 5510 to:
% 54.16/15.72  								| (59) $false
% 54.16/15.72  								|
% 54.16/15.72  								|-The branch is then unsatisfiable
% 54.16/15.72  							|-Branch two:
% 54.16/15.72  							| (5510)  ~ (all_60_0_2642 = 0)
% 54.16/15.72  							| (5519) all_74_0_2648 = 0 & q(all_74_1_2649) = 0
% 54.16/15.72  							|
% 54.16/15.72  								+-Applying beta-rule and splitting (2968), into two cases.
% 54.16/15.72  								|-Branch one:
% 54.16/15.72  								| (2988) ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_9_9) = 0 & p(all_0_11_11) = all_0_10_10) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))))
% 54.16/15.72  								|
% 54.16/15.72  									| Applying alpha-rule on (2988) yields:
% 54.16/15.72  									| (2989) (all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_9_9) = 0 & p(all_0_11_11) = all_0_10_10) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))
% 54.16/15.72  									| (2990) (s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0))))
% 54.16/15.72  									|
% 54.16/15.72  									+-Applying beta-rule and splitting (2989), into two cases.
% 54.16/15.72  									|-Branch one:
% 54.16/15.72  									| (2998) all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_9_9) = 0 & p(all_0_11_11) = all_0_10_10
% 54.16/15.72  									|
% 54.16/15.72  										| Applying alpha-rule on (2998) yields:
% 54.16/15.72  										| (120) all_0_8_8 = 0
% 54.16/15.72  										| (52)  ~ (all_0_10_10 = 0)
% 54.16/15.72  										| (396) s(all_0_9_9) = 0
% 54.16/15.72  										| (144) p(all_0_11_11) = all_0_10_10
% 54.16/15.72  										|
% 54.16/15.72  										| Instantiating formula (13) with all_0_10_10, all_0_11_11 and discharging atoms p(all_0_11_11) = all_0_10_10, yields:
% 54.16/15.72  										| (146)  ~ (all_0_0_0 = 0) | all_0_10_10 = 0
% 54.16/15.72  										|
% 54.16/15.72  										+-Applying beta-rule and splitting (2990), into two cases.
% 54.16/15.72  										|-Branch one:
% 54.16/15.72  										| (2991) s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 54.16/15.72  										|
% 54.16/15.72  											| Applying alpha-rule on (2991) yields:
% 54.16/15.72  											| (130) s(all_0_13_13) = all_0_12_12
% 54.16/15.72  											| (131)  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 54.16/15.72  											| (132)  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0))
% 54.16/15.72  											| (1625) (all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 54.16/15.72  											|
% 54.16/15.72  											+-Applying beta-rule and splitting (146), into two cases.
% 54.16/15.72  											|-Branch one:
% 54.16/15.72  											| (102)  ~ (all_0_0_0 = 0)
% 54.16/15.72  											|
% 54.16/15.72  												+-Applying beta-rule and splitting (1625), into two cases.
% 54.16/15.72  												|-Branch one:
% 54.16/15.72  												| (1642) all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0
% 54.16/15.72  												|
% 54.16/15.72  													| Applying alpha-rule on (1642) yields:
% 54.16/15.72  													| (74) all_0_14_14 = 0
% 54.16/15.72  													| (71)  ~ (all_0_16_16 = 0)
% 54.16/15.72  													| (23) q(all_0_17_17) = all_0_16_16
% 54.16/15.72  													| (105) p(all_0_15_15) = 0
% 54.16/15.72  													|
% 54.16/15.72  													| Instantiating formula (14) with all_0_15_15 and discharging atoms p(all_0_15_15) = 0, yields:
% 54.16/15.72  													| (63) all_0_0_0 = 0
% 54.16/15.72  													|
% 54.16/15.72  													| Equations (63) can reduce 102 to:
% 54.16/15.72  													| (59) $false
% 54.16/15.72  													|
% 54.16/15.72  													|-The branch is then unsatisfiable
% 54.16/15.72  												|-Branch two:
% 54.16/15.72  												| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 54.16/15.72  												|
% 54.16/15.72  													| Applying alpha-rule on (76) yields:
% 54.16/15.72  													| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.16/15.72  													| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.16/15.72  													|
% 54.16/15.72  													| Instantiating formula (77) with all_60_0_2642, all_60_1_2643 and discharging atoms q(all_60_1_2643) = all_60_0_2642, yields:
% 54.16/15.72  													| (5516) all_60_0_2642 = 0
% 54.16/15.72  													|
% 54.16/15.72  													| Equations (5516) can reduce 5510 to:
% 54.16/15.72  													| (59) $false
% 54.16/15.72  													|
% 54.16/15.72  													|-The branch is then unsatisfiable
% 54.16/15.72  											|-Branch two:
% 54.16/15.72  											| (63) all_0_0_0 = 0
% 54.16/15.72  											| (58) all_0_10_10 = 0
% 54.16/15.72  											|
% 54.16/15.72  												| Equations (58) can reduce 52 to:
% 54.16/15.72  												| (59) $false
% 54.16/15.72  												|
% 54.16/15.72  												|-The branch is then unsatisfiable
% 54.16/15.72  										|-Branch two:
% 54.16/15.72  										| (3025)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))
% 54.16/15.72  										|
% 54.16/15.72  											| Applying alpha-rule on (3025) yields:
% 54.16/15.72  											| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 54.16/15.72  											| (1590) (all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0))
% 54.16/15.72  											|
% 54.16/15.72  											| Instantiating formula (84) with 0, all_0_9_9 and discharging atoms s(all_0_9_9) = 0, yields:
% 54.16/15.72  											| (278)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & s(v0) = v1)
% 54.16/15.72  											|
% 54.16/15.72  											| Instantiating (278) with all_292_0_2772, all_292_1_2773 yields:
% 54.16/15.72  											| (5554)  ~ (all_292_0_2772 = 0) & s(all_292_1_2773) = all_292_0_2772
% 54.16/15.72  											|
% 54.16/15.72  											| Applying alpha-rule on (5554) yields:
% 54.16/15.72  											| (5555)  ~ (all_292_0_2772 = 0)
% 54.16/15.72  											| (5556) s(all_292_1_2773) = all_292_0_2772
% 54.16/15.72  											|
% 54.16/15.72  											| Instantiating formula (220) with all_292_0_2772, all_292_1_2773 and discharging atoms s(all_292_1_2773) = all_292_0_2772, yields:
% 54.16/15.72  											| (5557) all_292_0_2772 = 0
% 54.16/15.72  											|
% 54.16/15.72  											| Equations (5557) can reduce 5555 to:
% 54.16/15.72  											| (59) $false
% 54.16/15.72  											|
% 54.16/15.72  											|-The branch is then unsatisfiable
% 54.16/15.72  									|-Branch two:
% 54.16/15.72  									| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 54.16/15.72  									|
% 54.16/15.72  										| Applying alpha-rule on (60) yields:
% 54.16/15.72  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.16/15.72  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 54.16/15.72  										|
% 54.16/15.72  										| Instantiating formula (61) with all_0_0_0, all_0_1_1 and discharging atoms p(all_0_1_1) = all_0_0_0, yields:
% 54.16/15.72  										| (63) all_0_0_0 = 0
% 54.16/15.72  										|
% 54.16/15.72  										| From (63) and (12) follows:
% 54.16/15.72  										| (64) p(all_0_1_1) = 0
% 54.16/15.72  										|
% 54.16/15.72  										+-Applying beta-rule and splitting (2990), into two cases.
% 54.16/15.72  										|-Branch one:
% 54.16/15.72  										| (2991) s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 54.16/15.72  										|
% 54.16/15.72  											| Applying alpha-rule on (2991) yields:
% 54.16/15.72  											| (130) s(all_0_13_13) = all_0_12_12
% 54.16/15.72  											| (131)  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 54.16/15.72  											| (132)  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0))
% 54.16/15.72  											| (1625) (all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 54.16/15.72  											|
% 54.16/15.72  											| Instantiating formula (220) with all_0_12_12, all_0_13_13 and discharging atoms s(all_0_13_13) = all_0_12_12, yields:
% 54.16/15.72  											| (66) all_0_12_12 = 0
% 54.16/15.72  											|
% 54.16/15.72  											| From (66) and (130) follows:
% 54.16/15.72  											| (310) s(all_0_13_13) = 0
% 54.16/15.72  											|
% 54.16/15.72  											| Instantiating formula (62) with all_0_13_13 and discharging atoms s(all_0_13_13) = 0, yields:
% 54.16/15.72  											| (79) $false
% 54.16/15.72  											|
% 54.16/15.72  											|-The branch is then unsatisfiable
% 54.16/15.72  										|-Branch two:
% 54.16/15.72  										| (3025)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))
% 54.16/15.72  										|
% 54.16/15.72  											| Applying alpha-rule on (3025) yields:
% 54.16/15.72  											| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 54.16/15.73  											| (1590) (all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0))
% 54.16/15.73  											|
% 54.16/15.73  											+-Applying beta-rule and splitting (1590), into two cases.
% 54.16/15.73  											|-Branch one:
% 54.16/15.73  											| (1599) all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.16/15.73  											|
% 54.16/15.73  												| Applying alpha-rule on (1599) yields:
% 54.16/15.73  												| (42) all_0_16_16 = 0
% 54.16/15.73  												| (1601) p(all_0_17_17) = 0
% 54.16/15.73  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.16/15.73  												|
% 54.16/15.73  												| Instantiating formula (77) with all_60_0_2642, all_60_1_2643 and discharging atoms q(all_60_1_2643) = all_60_0_2642, yields:
% 54.16/15.73  												| (5516) all_60_0_2642 = 0
% 54.16/15.73  												|
% 54.16/15.73  												| Equations (5516) can reduce 5510 to:
% 54.16/15.73  												| (59) $false
% 54.16/15.73  												|
% 54.16/15.73  												|-The branch is then unsatisfiable
% 54.16/15.73  											|-Branch two:
% 54.16/15.73  											| (1609)  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)
% 54.16/15.73  											|
% 54.16/15.73  												| Applying alpha-rule on (1609) yields:
% 54.16/15.73  												| (71)  ~ (all_0_16_16 = 0)
% 54.16/15.73  												| (23) q(all_0_17_17) = all_0_16_16
% 54.16/15.73  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.16/15.73  												|
% 54.16/15.73  												| Instantiating formula (78) with all_0_1_1 and discharging atoms p(all_0_1_1) = 0, yields:
% 54.16/15.73  												| (79) $false
% 54.16/15.73  												|
% 54.16/15.73  												|-The branch is then unsatisfiable
% 54.16/15.73  								|-Branch two:
% 54.16/15.73  								| (3056) ((all_0_12_12 = 0 & s(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_12_12 = 0) & p(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))
% 54.16/15.73  								|
% 54.16/15.73  									| Applying alpha-rule on (3056) yields:
% 54.16/15.73  									| (3057) (all_0_12_12 = 0 & s(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_12_12 = 0) & p(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (s(v0) = 0))
% 54.16/15.73  									| (1585) (s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))
% 54.16/15.73  									|
% 54.16/15.73  									+-Applying beta-rule and splitting (3057), into two cases.
% 54.16/15.73  									|-Branch one:
% 54.16/15.73  									| (3066) all_0_12_12 = 0 & s(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.16/15.73  									|
% 54.16/15.73  										| Applying alpha-rule on (3066) yields:
% 54.16/15.73  										| (66) all_0_12_12 = 0
% 54.16/15.73  										| (310) s(all_0_13_13) = 0
% 54.16/15.73  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.16/15.73  										|
% 54.16/15.73  										| Instantiating formula (61) with all_0_0_0, all_0_1_1 and discharging atoms p(all_0_1_1) = all_0_0_0, yields:
% 54.16/15.73  										| (63) all_0_0_0 = 0
% 54.16/15.73  										|
% 54.16/15.73  										| From (63) and (12) follows:
% 54.16/15.73  										| (64) p(all_0_1_1) = 0
% 54.16/15.73  										|
% 54.16/15.73  										+-Applying beta-rule and splitting (1585), into two cases.
% 54.16/15.73  										|-Branch one:
% 54.16/15.73  										| (1586) s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))
% 54.16/15.73  										|
% 54.16/15.73  											| Applying alpha-rule on (1586) yields:
% 54.16/15.73  											| (1587) s(all_0_15_15) = all_0_14_14
% 54.16/15.73  											| (1588)  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 54.16/15.73  											| (1589)  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0))
% 54.16/15.73  											| (1590) (all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0))
% 54.16/15.73  											|
% 54.16/15.73  											+-Applying beta-rule and splitting (1590), into two cases.
% 54.16/15.73  											|-Branch one:
% 54.16/15.73  											| (1599) all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.16/15.73  											|
% 54.16/15.73  												| Applying alpha-rule on (1599) yields:
% 54.16/15.73  												| (42) all_0_16_16 = 0
% 54.16/15.73  												| (1601) p(all_0_17_17) = 0
% 54.16/15.73  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.16/15.73  												|
% 54.16/15.73  												| Instantiating formula (77) with all_60_0_2642, all_60_1_2643 and discharging atoms q(all_60_1_2643) = all_60_0_2642, yields:
% 54.16/15.73  												| (5516) all_60_0_2642 = 0
% 54.16/15.73  												|
% 54.16/15.73  												| Equations (5516) can reduce 5510 to:
% 54.16/15.73  												| (59) $false
% 54.16/15.73  												|
% 54.16/15.73  												|-The branch is then unsatisfiable
% 54.16/15.73  											|-Branch two:
% 54.16/15.73  											| (1609)  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)
% 54.16/15.73  											|
% 54.16/15.73  												| Applying alpha-rule on (1609) yields:
% 54.16/15.73  												| (71)  ~ (all_0_16_16 = 0)
% 54.16/15.73  												| (23) q(all_0_17_17) = all_0_16_16
% 54.16/15.73  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.16/15.73  												|
% 54.16/15.73  												| Instantiating formula (78) with all_0_1_1 and discharging atoms p(all_0_1_1) = 0, yields:
% 54.16/15.73  												| (79) $false
% 54.16/15.73  												|
% 54.16/15.73  												|-The branch is then unsatisfiable
% 54.16/15.73  										|-Branch two:
% 54.16/15.73  										| (1623)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 54.16/15.73  										|
% 54.16/15.73  											| Applying alpha-rule on (1623) yields:
% 54.16/15.73  											| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 54.16/15.73  											| (1625) (all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 54.16/15.73  											|
% 54.16/15.73  											| Instantiating formula (84) with 0, all_0_13_13 and discharging atoms s(all_0_13_13) = 0, yields:
% 54.16/15.73  											| (278)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & s(v0) = v1)
% 54.16/15.73  											|
% 54.16/15.73  											| Instantiating (278) with all_295_0_2926, all_295_1_2927 yields:
% 54.16/15.73  											| (5615)  ~ (all_295_0_2926 = 0) & s(all_295_1_2927) = all_295_0_2926
% 54.16/15.73  											|
% 54.16/15.73  											| Applying alpha-rule on (5615) yields:
% 54.16/15.73  											| (5616)  ~ (all_295_0_2926 = 0)
% 54.16/15.73  											| (5617) s(all_295_1_2927) = all_295_0_2926
% 54.16/15.73  											|
% 54.16/15.73  											| Instantiating formula (220) with all_295_0_2926, all_295_1_2927 and discharging atoms s(all_295_1_2927) = all_295_0_2926, yields:
% 54.16/15.73  											| (5618) all_295_0_2926 = 0
% 54.16/15.73  											|
% 54.16/15.73  											| Equations (5618) can reduce 5616 to:
% 54.16/15.73  											| (59) $false
% 54.16/15.73  											|
% 54.16/15.73  											|-The branch is then unsatisfiable
% 54.16/15.73  									|-Branch two:
% 54.16/15.73  									| (3084)  ~ (all_0_12_12 = 0) & p(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (s(v0) = 0)
% 54.16/15.73  									|
% 54.16/15.73  										| Applying alpha-rule on (3084) yields:
% 54.16/15.73  										| (135)  ~ (all_0_12_12 = 0)
% 54.16/15.73  										| (3086) p(all_0_13_13) = all_0_12_12
% 54.16/15.73  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 54.16/15.73  										|
% 54.16/15.73  										| Instantiating formula (13) with all_0_12_12, all_0_13_13 and discharging atoms p(all_0_13_13) = all_0_12_12, yields:
% 54.16/15.73  										| (3106)  ~ (all_0_0_0 = 0) | all_0_12_12 = 0
% 54.16/15.73  										|
% 54.16/15.73  										+-Applying beta-rule and splitting (1585), into two cases.
% 54.16/15.73  										|-Branch one:
% 54.16/15.73  										| (1586) s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))
% 54.16/15.73  										|
% 54.16/15.73  											| Applying alpha-rule on (1586) yields:
% 54.16/15.73  											| (1587) s(all_0_15_15) = all_0_14_14
% 54.16/15.73  											| (1588)  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 54.16/15.73  											| (1589)  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0))
% 54.16/15.73  											| (1590) (all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0))
% 54.16/15.73  											|
% 54.16/15.73  											| Instantiating formula (220) with all_0_14_14, all_0_15_15 and discharging atoms s(all_0_15_15) = all_0_14_14, yields:
% 54.16/15.73  											| (74) all_0_14_14 = 0
% 54.16/15.73  											|
% 54.16/15.73  											| From (74) and (1587) follows:
% 54.16/15.74  											| (1521) s(all_0_15_15) = 0
% 54.16/15.74  											|
% 54.16/15.74  											| Instantiating formula (62) with all_0_15_15 and discharging atoms s(all_0_15_15) = 0, yields:
% 54.16/15.74  											| (79) $false
% 54.16/15.74  											|
% 54.16/15.74  											|-The branch is then unsatisfiable
% 54.16/15.74  										|-Branch two:
% 54.16/15.74  										| (1623)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 54.16/15.74  										|
% 54.16/15.74  											| Applying alpha-rule on (1623) yields:
% 54.16/15.74  											| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 54.16/15.74  											| (1625) (all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 54.16/15.74  											|
% 54.16/15.74  											+-Applying beta-rule and splitting (3106), into two cases.
% 54.16/15.74  											|-Branch one:
% 54.16/15.74  											| (102)  ~ (all_0_0_0 = 0)
% 54.16/15.74  											|
% 54.16/15.74  												+-Applying beta-rule and splitting (1625), into two cases.
% 54.16/15.74  												|-Branch one:
% 54.16/15.74  												| (1642) all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0
% 54.16/15.74  												|
% 54.16/15.74  													| Applying alpha-rule on (1642) yields:
% 54.16/15.74  													| (74) all_0_14_14 = 0
% 54.16/15.74  													| (71)  ~ (all_0_16_16 = 0)
% 54.16/15.74  													| (23) q(all_0_17_17) = all_0_16_16
% 54.16/15.74  													| (105) p(all_0_15_15) = 0
% 54.16/15.74  													|
% 54.16/15.74  													| Instantiating formula (14) with all_0_15_15 and discharging atoms p(all_0_15_15) = 0, yields:
% 54.16/15.74  													| (63) all_0_0_0 = 0
% 54.16/15.74  													|
% 54.16/15.74  													| Equations (63) can reduce 102 to:
% 54.16/15.74  													| (59) $false
% 54.16/15.74  													|
% 54.16/15.74  													|-The branch is then unsatisfiable
% 54.16/15.74  												|-Branch two:
% 54.16/15.74  												| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 54.16/15.74  												|
% 54.16/15.74  													| Applying alpha-rule on (76) yields:
% 54.16/15.74  													| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.16/15.74  													| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.16/15.74  													|
% 54.16/15.74  													| Instantiating formula (77) with all_60_0_2642, all_60_1_2643 and discharging atoms q(all_60_1_2643) = all_60_0_2642, yields:
% 54.16/15.74  													| (5516) all_60_0_2642 = 0
% 54.16/15.74  													|
% 54.16/15.74  													| Equations (5516) can reduce 5510 to:
% 54.16/15.74  													| (59) $false
% 54.16/15.74  													|
% 54.16/15.74  													|-The branch is then unsatisfiable
% 54.16/15.74  											|-Branch two:
% 54.16/15.74  											| (63) all_0_0_0 = 0
% 54.16/15.74  											| (66) all_0_12_12 = 0
% 54.16/15.74  											|
% 54.16/15.74  												| Equations (66) can reduce 135 to:
% 54.16/15.74  												| (59) $false
% 54.16/15.74  												|
% 54.16/15.74  												|-The branch is then unsatisfiable
% 54.16/15.74  						|-Branch two:
% 54.16/15.74  						| (2985)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] :  ~ (q(v0) = 0)
% 54.16/15.74  						|
% 54.16/15.74  							| Applying alpha-rule on (2985) yields:
% 54.16/15.74  							| (41)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 54.16/15.74  							| (212)  ! [v0] :  ~ (q(v0) = 0)
% 54.16/15.74  							|
% 54.16/15.74  							| Instantiating formula (41) with all_41_0_2638, all_41_1_2639 and discharging atoms r(all_41_1_2639) = all_41_0_2638, yields:
% 54.16/15.74  							| (5655) all_41_0_2638 = 0
% 54.16/15.74  							|
% 54.16/15.74  							| Equations (5655) can reduce 5501 to:
% 54.16/15.74  							| (59) $false
% 54.16/15.74  							|
% 54.16/15.74  							|-The branch is then unsatisfiable
% 54.16/15.74  					|-Branch two:
% 54.16/15.74  					| (5303)  ~ (all_0_6_6 = 0) & s(all_0_7_7) = all_0_6_6 &  ! [v0] :  ~ (r(v0) = 0)
% 54.16/15.74  					|
% 54.16/15.74  						| Applying alpha-rule on (5303) yields:
% 54.16/15.74  						| (2980)  ~ (all_0_6_6 = 0)
% 54.16/15.74  						| (4427) s(all_0_7_7) = all_0_6_6
% 54.16/15.74  						| (221)  ! [v0] :  ~ (r(v0) = 0)
% 54.16/15.74  						|
% 54.16/15.74  						+-Applying beta-rule and splitting (2954), into two cases.
% 54.16/15.74  						|-Branch one:
% 54.16/15.74  						| (2974) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & r(all_0_21_21) = all_0_20_20 & q(all_0_19_19) = 0
% 54.16/15.74  						|
% 54.16/15.74  							| Applying alpha-rule on (2974) yields:
% 54.16/15.74  							| (33) all_0_18_18 = 0
% 54.16/15.74  							| (34)  ~ (all_0_20_20 = 0)
% 54.16/15.74  							| (2977) r(all_0_21_21) = all_0_20_20
% 54.16/15.74  							| (2978) q(all_0_19_19) = 0
% 54.16/15.74  							|
% 54.16/15.74  							| Instantiating formula (370) with all_0_20_20, all_0_21_21 and discharging atoms r(all_0_21_21) = all_0_20_20, yields:
% 54.16/15.74  							| (3485)  ? [v0] :  ? [v1] : (( ~ (all_0_20_20 = 0) | ( ~ (v1 = 0) & r(v0) = v1)) & (all_0_20_20 = 0 | (v1 = 0 & r(v0) = 0)))
% 54.16/15.74  							|
% 54.16/15.74  							| Instantiating (3485) with all_50_0_2978, all_50_1_2979 yields:
% 54.16/15.74  							| (5667) ( ~ (all_0_20_20 = 0) | ( ~ (all_50_0_2978 = 0) & r(all_50_1_2979) = all_50_0_2978)) & (all_0_20_20 = 0 | (all_50_0_2978 = 0 & r(all_50_1_2979) = 0))
% 54.16/15.74  							|
% 54.16/15.74  							| Applying alpha-rule on (5667) yields:
% 54.16/15.74  							| (5668)  ~ (all_0_20_20 = 0) | ( ~ (all_50_0_2978 = 0) & r(all_50_1_2979) = all_50_0_2978)
% 54.16/15.74  							| (5669) all_0_20_20 = 0 | (all_50_0_2978 = 0 & r(all_50_1_2979) = 0)
% 54.16/15.74  							|
% 54.16/15.74  							+-Applying beta-rule and splitting (5669), into two cases.
% 54.16/15.74  							|-Branch one:
% 54.16/15.74  							| (81) all_0_20_20 = 0
% 54.16/15.74  							|
% 54.16/15.74  								| Equations (81) can reduce 34 to:
% 54.16/15.74  								| (59) $false
% 54.16/15.74  								|
% 54.16/15.74  								|-The branch is then unsatisfiable
% 54.16/15.74  							|-Branch two:
% 54.16/15.74  							| (34)  ~ (all_0_20_20 = 0)
% 54.16/15.74  							| (5673) all_50_0_2978 = 0 & r(all_50_1_2979) = 0
% 54.16/15.74  							|
% 54.16/15.74  								| Applying alpha-rule on (5673) yields:
% 54.16/15.74  								| (5674) all_50_0_2978 = 0
% 54.16/15.74  								| (5675) r(all_50_1_2979) = 0
% 54.16/15.74  								|
% 54.16/15.74  								| Instantiating formula (221) with all_50_1_2979 and discharging atoms r(all_50_1_2979) = 0, yields:
% 54.16/15.74  								| (79) $false
% 54.16/15.74  								|
% 54.16/15.74  								|-The branch is then unsatisfiable
% 54.16/15.74  						|-Branch two:
% 54.16/15.74  						| (2985)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] :  ~ (q(v0) = 0)
% 54.16/15.74  						|
% 54.16/15.74  							| Applying alpha-rule on (2985) yields:
% 54.16/15.74  							| (41)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 54.16/15.74  							| (212)  ! [v0] :  ~ (q(v0) = 0)
% 54.16/15.74  							|
% 54.16/15.74  							+-Applying beta-rule and splitting (2968), into two cases.
% 54.16/15.74  							|-Branch one:
% 54.16/15.74  							| (2988) ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_9_9) = 0 & p(all_0_11_11) = all_0_10_10) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))))
% 54.16/15.74  							|
% 54.16/15.74  								| Applying alpha-rule on (2988) yields:
% 54.16/15.74  								| (2989) (all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_9_9) = 0 & p(all_0_11_11) = all_0_10_10) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))
% 54.16/15.74  								| (2990) (s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0))))
% 54.16/15.74  								|
% 54.16/15.74  								+-Applying beta-rule and splitting (2990), into two cases.
% 54.16/15.74  								|-Branch one:
% 54.16/15.74  								| (2991) s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 54.16/15.74  								|
% 54.16/15.74  									| Applying alpha-rule on (2991) yields:
% 54.16/15.74  									| (130) s(all_0_13_13) = all_0_12_12
% 54.16/15.74  									| (131)  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 54.16/15.74  									| (132)  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0))
% 54.16/15.74  									| (1625) (all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 54.16/15.74  									|
% 54.16/15.74  									| Instantiating formula (131) with all_0_6_6, all_0_7_7 and discharging atoms s(all_0_7_7) = all_0_6_6, yields:
% 54.16/15.74  									| (4452)  ~ (all_0_12_12 = 0) | all_0_6_6 = 0
% 54.16/15.74  									|
% 54.16/15.74  									+-Applying beta-rule and splitting (4452), into two cases.
% 54.16/15.74  									|-Branch one:
% 54.16/15.74  									| (135)  ~ (all_0_12_12 = 0)
% 54.16/15.74  									|
% 54.16/15.74  										+-Applying beta-rule and splitting (2989), into two cases.
% 54.16/15.74  										|-Branch one:
% 54.16/15.74  										| (2998) all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_9_9) = 0 & p(all_0_11_11) = all_0_10_10
% 54.16/15.74  										|
% 54.16/15.74  											| Applying alpha-rule on (2998) yields:
% 54.16/15.74  											| (120) all_0_8_8 = 0
% 54.16/15.74  											| (52)  ~ (all_0_10_10 = 0)
% 54.16/15.74  											| (396) s(all_0_9_9) = 0
% 54.16/15.74  											| (144) p(all_0_11_11) = all_0_10_10
% 54.16/15.74  											|
% 54.16/15.74  											| Instantiating formula (132) with all_0_9_9 and discharging atoms s(all_0_9_9) = 0, yields:
% 54.16/15.74  											| (66) all_0_12_12 = 0
% 54.16/15.74  											|
% 54.16/15.74  											| Equations (66) can reduce 135 to:
% 54.16/15.74  											| (59) $false
% 54.16/15.74  											|
% 54.16/15.74  											|-The branch is then unsatisfiable
% 54.16/15.74  										|-Branch two:
% 54.16/15.74  										| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 54.16/15.74  										|
% 54.16/15.74  											| Applying alpha-rule on (60) yields:
% 54.16/15.74  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.16/15.74  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 54.16/15.74  											|
% 54.16/15.75  											| Instantiating formula (61) with all_0_0_0, all_0_1_1 and discharging atoms p(all_0_1_1) = all_0_0_0, yields:
% 54.16/15.75  											| (63) all_0_0_0 = 0
% 54.16/15.75  											|
% 54.16/15.75  											| From (63) and (12) follows:
% 54.16/15.75  											| (64) p(all_0_1_1) = 0
% 54.16/15.75  											|
% 54.16/15.75  											+-Applying beta-rule and splitting (1625), into two cases.
% 54.16/15.75  											|-Branch one:
% 54.16/15.75  											| (1642) all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0
% 54.16/15.75  											|
% 54.16/15.75  												| Applying alpha-rule on (1642) yields:
% 54.16/15.75  												| (74) all_0_14_14 = 0
% 54.16/15.75  												| (71)  ~ (all_0_16_16 = 0)
% 54.16/15.75  												| (23) q(all_0_17_17) = all_0_16_16
% 54.16/15.75  												| (105) p(all_0_15_15) = 0
% 54.16/15.75  												|
% 54.16/15.75  												| Instantiating formula (717) with all_0_16_16, all_0_17_17 and discharging atoms q(all_0_17_17) = all_0_16_16, yields:
% 54.16/15.75  												| (2513)  ? [v0] :  ? [v1] : (( ~ (all_0_16_16 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_0_16_16 = 0 | (v1 = 0 & q(v0) = 0)))
% 54.16/15.75  												|
% 54.16/15.75  												| Instantiating (2513) with all_73_0_2980, all_73_1_2981 yields:
% 54.16/15.75  												| (5708) ( ~ (all_0_16_16 = 0) | ( ~ (all_73_0_2980 = 0) & q(all_73_1_2981) = all_73_0_2980)) & (all_0_16_16 = 0 | (all_73_0_2980 = 0 & q(all_73_1_2981) = 0))
% 54.16/15.75  												|
% 54.16/15.75  												| Applying alpha-rule on (5708) yields:
% 54.16/15.75  												| (5709)  ~ (all_0_16_16 = 0) | ( ~ (all_73_0_2980 = 0) & q(all_73_1_2981) = all_73_0_2980)
% 54.16/15.75  												| (5710) all_0_16_16 = 0 | (all_73_0_2980 = 0 & q(all_73_1_2981) = 0)
% 54.16/15.75  												|
% 54.16/15.75  												+-Applying beta-rule and splitting (5710), into two cases.
% 54.16/15.75  												|-Branch one:
% 54.16/15.75  												| (42) all_0_16_16 = 0
% 54.16/15.75  												|
% 54.16/15.75  													| Equations (42) can reduce 71 to:
% 54.16/15.75  													| (59) $false
% 54.16/15.75  													|
% 54.16/15.75  													|-The branch is then unsatisfiable
% 54.16/15.75  												|-Branch two:
% 54.16/15.75  												| (71)  ~ (all_0_16_16 = 0)
% 54.16/15.75  												| (5714) all_73_0_2980 = 0 & q(all_73_1_2981) = 0
% 54.16/15.75  												|
% 54.16/15.75  													| Applying alpha-rule on (5714) yields:
% 54.16/15.75  													| (5715) all_73_0_2980 = 0
% 54.16/15.75  													| (5716) q(all_73_1_2981) = 0
% 54.16/15.75  													|
% 54.16/15.75  													| Instantiating formula (212) with all_73_1_2981 and discharging atoms q(all_73_1_2981) = 0, yields:
% 54.16/15.75  													| (79) $false
% 54.16/15.75  													|
% 54.16/15.75  													|-The branch is then unsatisfiable
% 54.16/15.75  											|-Branch two:
% 54.16/15.75  											| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 54.16/15.75  											|
% 54.16/15.75  												| Applying alpha-rule on (76) yields:
% 54.16/15.75  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.16/15.75  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.16/15.75  												|
% 54.16/15.75  												| Instantiating formula (78) with all_0_1_1 and discharging atoms p(all_0_1_1) = 0, yields:
% 54.16/15.75  												| (79) $false
% 54.16/15.75  												|
% 54.16/15.75  												|-The branch is then unsatisfiable
% 54.16/15.75  									|-Branch two:
% 54.16/15.75  									| (66) all_0_12_12 = 0
% 54.16/15.75  									| (54) all_0_6_6 = 0
% 54.16/15.75  									|
% 54.16/15.75  										| Equations (54) can reduce 2980 to:
% 54.16/15.75  										| (59) $false
% 54.16/15.75  										|
% 54.16/15.75  										|-The branch is then unsatisfiable
% 54.16/15.75  								|-Branch two:
% 54.16/15.75  								| (3025)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))
% 54.16/15.75  								|
% 54.16/15.75  									| Applying alpha-rule on (3025) yields:
% 54.16/15.75  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 54.16/15.75  									| (1590) (all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0))
% 54.16/15.75  									|
% 54.16/15.75  									| Instantiating formula (84) with all_0_6_6, all_0_7_7 and discharging atoms s(all_0_7_7) = all_0_6_6, yields:
% 54.16/15.75  									| (4488)  ? [v0] :  ? [v1] : (( ~ (all_0_6_6 = 0) | ( ~ (v1 = 0) & s(v0) = v1)) & (all_0_6_6 = 0 | (v1 = 0 & s(v0) = 0)))
% 54.16/15.75  									|
% 54.16/15.75  									| Instantiating (4488) with all_48_0_2982, all_48_1_2983 yields:
% 54.16/15.75  									| (5729) ( ~ (all_0_6_6 = 0) | ( ~ (all_48_0_2982 = 0) & s(all_48_1_2983) = all_48_0_2982)) & (all_0_6_6 = 0 | (all_48_0_2982 = 0 & s(all_48_1_2983) = 0))
% 54.16/15.75  									|
% 54.16/15.75  									| Applying alpha-rule on (5729) yields:
% 54.16/15.75  									| (5730)  ~ (all_0_6_6 = 0) | ( ~ (all_48_0_2982 = 0) & s(all_48_1_2983) = all_48_0_2982)
% 54.16/15.75  									| (5731) all_0_6_6 = 0 | (all_48_0_2982 = 0 & s(all_48_1_2983) = 0)
% 54.16/15.75  									|
% 54.16/15.75  									+-Applying beta-rule and splitting (5731), into two cases.
% 54.16/15.75  									|-Branch one:
% 54.16/15.75  									| (54) all_0_6_6 = 0
% 54.16/15.75  									|
% 54.16/15.75  										| Equations (54) can reduce 2980 to:
% 54.16/15.75  										| (59) $false
% 54.16/15.75  										|
% 54.16/15.75  										|-The branch is then unsatisfiable
% 54.16/15.75  									|-Branch two:
% 54.16/15.75  									| (2980)  ~ (all_0_6_6 = 0)
% 54.16/15.75  									| (5735) all_48_0_2982 = 0 & s(all_48_1_2983) = 0
% 54.16/15.75  									|
% 54.16/15.75  										| Applying alpha-rule on (5735) yields:
% 54.16/15.75  										| (5736) all_48_0_2982 = 0
% 54.16/15.75  										| (5737) s(all_48_1_2983) = 0
% 54.16/15.75  										|
% 54.16/15.75  										+-Applying beta-rule and splitting (2989), into two cases.
% 54.16/15.75  										|-Branch one:
% 54.16/15.75  										| (2998) all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_9_9) = 0 & p(all_0_11_11) = all_0_10_10
% 54.16/15.75  										|
% 54.16/15.75  											| Applying alpha-rule on (2998) yields:
% 54.16/15.75  											| (120) all_0_8_8 = 0
% 54.16/15.75  											| (52)  ~ (all_0_10_10 = 0)
% 54.16/15.75  											| (396) s(all_0_9_9) = 0
% 54.16/15.75  											| (144) p(all_0_11_11) = all_0_10_10
% 54.16/15.75  											|
% 54.16/15.75  											| Instantiating formula (13) with all_0_10_10, all_0_11_11 and discharging atoms p(all_0_11_11) = all_0_10_10, yields:
% 54.16/15.75  											| (146)  ~ (all_0_0_0 = 0) | all_0_10_10 = 0
% 54.16/15.75  											|
% 54.16/15.75  											+-Applying beta-rule and splitting (146), into two cases.
% 54.16/15.75  											|-Branch one:
% 54.16/15.75  											| (102)  ~ (all_0_0_0 = 0)
% 54.16/15.75  											|
% 54.16/15.75  												+-Applying beta-rule and splitting (1590), into two cases.
% 54.16/15.75  												|-Branch one:
% 54.16/15.75  												| (1599) all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.16/15.75  												|
% 54.16/15.75  													| Applying alpha-rule on (1599) yields:
% 54.16/15.75  													| (42) all_0_16_16 = 0
% 54.16/15.75  													| (1601) p(all_0_17_17) = 0
% 54.16/15.75  													| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.16/15.75  													|
% 54.16/15.75  													| Instantiating formula (14) with all_0_17_17 and discharging atoms p(all_0_17_17) = 0, yields:
% 54.16/15.75  													| (63) all_0_0_0 = 0
% 54.16/15.75  													|
% 54.16/15.75  													| Equations (63) can reduce 102 to:
% 54.16/15.75  													| (59) $false
% 54.16/15.75  													|
% 54.16/15.75  													|-The branch is then unsatisfiable
% 54.16/15.75  												|-Branch two:
% 54.16/15.75  												| (1609)  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)
% 54.16/15.75  												|
% 54.16/15.75  													| Applying alpha-rule on (1609) yields:
% 54.16/15.75  													| (71)  ~ (all_0_16_16 = 0)
% 54.16/15.75  													| (23) q(all_0_17_17) = all_0_16_16
% 54.16/15.75  													| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.16/15.75  													|
% 54.16/15.75  													| Instantiating formula (717) with all_0_16_16, all_0_17_17 and discharging atoms q(all_0_17_17) = all_0_16_16, yields:
% 54.16/15.75  													| (2513)  ? [v0] :  ? [v1] : (( ~ (all_0_16_16 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_0_16_16 = 0 | (v1 = 0 & q(v0) = 0)))
% 54.16/15.75  													|
% 54.16/15.75  													| Instantiating (2513) with all_100_0_2992, all_100_1_2993 yields:
% 54.16/15.75  													| (5756) ( ~ (all_0_16_16 = 0) | ( ~ (all_100_0_2992 = 0) & q(all_100_1_2993) = all_100_0_2992)) & (all_0_16_16 = 0 | (all_100_0_2992 = 0 & q(all_100_1_2993) = 0))
% 54.16/15.75  													|
% 54.16/15.75  													| Applying alpha-rule on (5756) yields:
% 54.16/15.75  													| (5757)  ~ (all_0_16_16 = 0) | ( ~ (all_100_0_2992 = 0) & q(all_100_1_2993) = all_100_0_2992)
% 54.16/15.75  													| (5758) all_0_16_16 = 0 | (all_100_0_2992 = 0 & q(all_100_1_2993) = 0)
% 54.16/15.75  													|
% 54.16/15.75  													+-Applying beta-rule and splitting (5758), into two cases.
% 54.16/15.75  													|-Branch one:
% 54.16/15.75  													| (42) all_0_16_16 = 0
% 54.16/15.75  													|
% 54.16/15.75  														| Equations (42) can reduce 71 to:
% 54.16/15.75  														| (59) $false
% 54.16/15.75  														|
% 54.16/15.75  														|-The branch is then unsatisfiable
% 54.16/15.75  													|-Branch two:
% 54.16/15.75  													| (71)  ~ (all_0_16_16 = 0)
% 54.16/15.75  													| (5762) all_100_0_2992 = 0 & q(all_100_1_2993) = 0
% 54.16/15.75  													|
% 54.16/15.75  														| Applying alpha-rule on (5762) yields:
% 54.16/15.75  														| (5763) all_100_0_2992 = 0
% 54.16/15.75  														| (5764) q(all_100_1_2993) = 0
% 54.16/15.75  														|
% 54.16/15.75  														| Instantiating formula (212) with all_100_1_2993 and discharging atoms q(all_100_1_2993) = 0, yields:
% 54.16/15.75  														| (79) $false
% 54.16/15.75  														|
% 54.16/15.75  														|-The branch is then unsatisfiable
% 54.16/15.75  											|-Branch two:
% 54.16/15.75  											| (63) all_0_0_0 = 0
% 54.16/15.75  											| (58) all_0_10_10 = 0
% 54.16/15.75  											|
% 54.16/15.75  												| Equations (58) can reduce 52 to:
% 54.16/15.75  												| (59) $false
% 54.16/15.75  												|
% 54.16/15.75  												|-The branch is then unsatisfiable
% 54.16/15.75  										|-Branch two:
% 54.16/15.75  										| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 54.16/15.75  										|
% 54.16/15.75  											| Applying alpha-rule on (60) yields:
% 54.16/15.75  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.16/15.75  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 54.16/15.75  											|
% 54.16/15.75  											| Instantiating formula (62) with all_48_1_2983 and discharging atoms s(all_48_1_2983) = 0, yields:
% 54.16/15.75  											| (79) $false
% 54.16/15.75  											|
% 54.16/15.75  											|-The branch is then unsatisfiable
% 54.16/15.75  							|-Branch two:
% 54.16/15.75  							| (3056) ((all_0_12_12 = 0 & s(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_12_12 = 0) & p(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))
% 54.16/15.75  							|
% 54.16/15.75  								| Applying alpha-rule on (3056) yields:
% 54.16/15.75  								| (3057) (all_0_12_12 = 0 & s(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_12_12 = 0) & p(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (s(v0) = 0))
% 54.16/15.75  								| (1585) (s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))
% 54.16/15.75  								|
% 54.16/15.75  								+-Applying beta-rule and splitting (1585), into two cases.
% 54.16/15.75  								|-Branch one:
% 54.16/15.75  								| (1586) s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))
% 54.16/15.75  								|
% 54.16/15.75  									| Applying alpha-rule on (1586) yields:
% 54.16/15.75  									| (1587) s(all_0_15_15) = all_0_14_14
% 54.16/15.75  									| (1588)  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 54.16/15.75  									| (1589)  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0))
% 54.16/15.75  									| (1590) (all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0))
% 54.16/15.75  									|
% 54.16/15.75  									| Instantiating formula (1588) with all_0_6_6, all_0_7_7 and discharging atoms s(all_0_7_7) = all_0_6_6, yields:
% 54.16/15.76  									| (4876)  ~ (all_0_14_14 = 0) | all_0_6_6 = 0
% 54.16/15.76  									|
% 54.16/15.76  									+-Applying beta-rule and splitting (4876), into two cases.
% 54.16/15.76  									|-Branch one:
% 54.16/15.76  									| (67)  ~ (all_0_14_14 = 0)
% 54.16/15.76  									|
% 54.16/15.76  										+-Applying beta-rule and splitting (3057), into two cases.
% 54.16/15.76  										|-Branch one:
% 54.16/15.76  										| (3066) all_0_12_12 = 0 & s(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.16/15.76  										|
% 54.16/15.76  											| Applying alpha-rule on (3066) yields:
% 54.16/15.76  											| (66) all_0_12_12 = 0
% 54.16/15.76  											| (310) s(all_0_13_13) = 0
% 54.16/15.76  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.16/15.76  											|
% 54.16/15.76  											| Instantiating formula (1589) with all_0_13_13 and discharging atoms s(all_0_13_13) = 0, yields:
% 54.16/15.76  											| (74) all_0_14_14 = 0
% 54.16/15.76  											|
% 54.16/15.76  											| Equations (74) can reduce 67 to:
% 54.16/15.76  											| (59) $false
% 54.16/15.76  											|
% 54.16/15.76  											|-The branch is then unsatisfiable
% 54.16/15.76  										|-Branch two:
% 54.16/15.76  										| (3084)  ~ (all_0_12_12 = 0) & p(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (s(v0) = 0)
% 54.16/15.76  										|
% 54.16/15.76  											| Applying alpha-rule on (3084) yields:
% 54.16/15.76  											| (135)  ~ (all_0_12_12 = 0)
% 54.16/15.76  											| (3086) p(all_0_13_13) = all_0_12_12
% 54.16/15.76  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 54.16/15.76  											|
% 54.16/15.76  											| Instantiating formula (13) with all_0_12_12, all_0_13_13 and discharging atoms p(all_0_13_13) = all_0_12_12, yields:
% 54.16/15.76  											| (3106)  ~ (all_0_0_0 = 0) | all_0_12_12 = 0
% 54.16/15.76  											|
% 54.16/15.76  											+-Applying beta-rule and splitting (1590), into two cases.
% 54.16/15.76  											|-Branch one:
% 54.16/15.76  											| (1599) all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.16/15.76  											|
% 54.16/15.76  												| Applying alpha-rule on (1599) yields:
% 54.16/15.76  												| (42) all_0_16_16 = 0
% 54.16/15.76  												| (1601) p(all_0_17_17) = 0
% 54.16/15.76  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.16/15.76  												|
% 54.16/15.76  												+-Applying beta-rule and splitting (3106), into two cases.
% 54.16/15.76  												|-Branch one:
% 54.16/15.76  												| (102)  ~ (all_0_0_0 = 0)
% 54.16/15.76  												|
% 54.16/15.76  													| Instantiating formula (14) with all_0_17_17 and discharging atoms p(all_0_17_17) = 0, yields:
% 54.16/15.76  													| (63) all_0_0_0 = 0
% 54.16/15.76  													|
% 54.16/15.76  													| Equations (63) can reduce 102 to:
% 54.16/15.76  													| (59) $false
% 54.16/15.76  													|
% 54.16/15.76  													|-The branch is then unsatisfiable
% 54.16/15.76  												|-Branch two:
% 54.16/15.76  												| (63) all_0_0_0 = 0
% 54.16/15.76  												| (66) all_0_12_12 = 0
% 54.16/15.76  												|
% 54.16/15.76  													| Equations (66) can reduce 135 to:
% 54.16/15.76  													| (59) $false
% 54.16/15.76  													|
% 54.16/15.76  													|-The branch is then unsatisfiable
% 54.16/15.76  											|-Branch two:
% 54.16/15.76  											| (1609)  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)
% 54.16/15.76  											|
% 54.16/15.76  												| Applying alpha-rule on (1609) yields:
% 54.16/15.76  												| (71)  ~ (all_0_16_16 = 0)
% 54.16/15.76  												| (23) q(all_0_17_17) = all_0_16_16
% 54.16/15.76  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.16/15.76  												|
% 54.16/15.76  												| Instantiating formula (717) with all_0_16_16, all_0_17_17 and discharging atoms q(all_0_17_17) = all_0_16_16, yields:
% 54.16/15.76  												| (2513)  ? [v0] :  ? [v1] : (( ~ (all_0_16_16 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_0_16_16 = 0 | (v1 = 0 & q(v0) = 0)))
% 54.16/15.76  												|
% 54.16/15.76  												| Instantiating (2513) with all_78_0_2996, all_78_1_2997 yields:
% 54.16/15.76  												| (5809) ( ~ (all_0_16_16 = 0) | ( ~ (all_78_0_2996 = 0) & q(all_78_1_2997) = all_78_0_2996)) & (all_0_16_16 = 0 | (all_78_0_2996 = 0 & q(all_78_1_2997) = 0))
% 54.16/15.76  												|
% 54.16/15.76  												| Applying alpha-rule on (5809) yields:
% 54.16/15.76  												| (5810)  ~ (all_0_16_16 = 0) | ( ~ (all_78_0_2996 = 0) & q(all_78_1_2997) = all_78_0_2996)
% 54.16/15.76  												| (5811) all_0_16_16 = 0 | (all_78_0_2996 = 0 & q(all_78_1_2997) = 0)
% 54.16/15.76  												|
% 54.16/15.76  												+-Applying beta-rule and splitting (5811), into two cases.
% 54.16/15.76  												|-Branch one:
% 54.16/15.76  												| (42) all_0_16_16 = 0
% 54.16/15.76  												|
% 54.16/15.76  													| Equations (42) can reduce 71 to:
% 54.16/15.76  													| (59) $false
% 54.16/15.76  													|
% 54.16/15.76  													|-The branch is then unsatisfiable
% 54.16/15.76  												|-Branch two:
% 54.16/15.76  												| (71)  ~ (all_0_16_16 = 0)
% 54.16/15.76  												| (5815) all_78_0_2996 = 0 & q(all_78_1_2997) = 0
% 54.16/15.76  												|
% 54.16/15.76  													| Applying alpha-rule on (5815) yields:
% 54.16/15.76  													| (5816) all_78_0_2996 = 0
% 54.16/15.76  													| (5817) q(all_78_1_2997) = 0
% 54.16/15.76  													|
% 54.16/15.76  													| Instantiating formula (212) with all_78_1_2997 and discharging atoms q(all_78_1_2997) = 0, yields:
% 54.16/15.76  													| (79) $false
% 54.16/15.76  													|
% 54.16/15.76  													|-The branch is then unsatisfiable
% 54.16/15.76  									|-Branch two:
% 54.16/15.76  									| (74) all_0_14_14 = 0
% 54.16/15.76  									| (54) all_0_6_6 = 0
% 54.16/15.76  									|
% 54.16/15.76  										| Equations (54) can reduce 2980 to:
% 54.16/15.76  										| (59) $false
% 54.16/15.76  										|
% 54.16/15.76  										|-The branch is then unsatisfiable
% 54.16/15.76  								|-Branch two:
% 54.16/15.76  								| (1623)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 54.16/15.76  								|
% 54.16/15.76  									| Applying alpha-rule on (1623) yields:
% 54.16/15.76  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 54.16/15.76  									| (1625) (all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 54.16/15.76  									|
% 54.16/15.76  									| Instantiating formula (84) with all_0_6_6, all_0_7_7 and discharging atoms s(all_0_7_7) = all_0_6_6, yields:
% 54.16/15.76  									| (4488)  ? [v0] :  ? [v1] : (( ~ (all_0_6_6 = 0) | ( ~ (v1 = 0) & s(v0) = v1)) & (all_0_6_6 = 0 | (v1 = 0 & s(v0) = 0)))
% 54.16/15.76  									|
% 54.16/15.76  									| Instantiating (4488) with all_48_0_2998, all_48_1_2999 yields:
% 54.16/15.76  									| (5826) ( ~ (all_0_6_6 = 0) | ( ~ (all_48_0_2998 = 0) & s(all_48_1_2999) = all_48_0_2998)) & (all_0_6_6 = 0 | (all_48_0_2998 = 0 & s(all_48_1_2999) = 0))
% 54.16/15.76  									|
% 54.16/15.76  									| Applying alpha-rule on (5826) yields:
% 54.16/15.76  									| (5827)  ~ (all_0_6_6 = 0) | ( ~ (all_48_0_2998 = 0) & s(all_48_1_2999) = all_48_0_2998)
% 54.16/15.76  									| (5828) all_0_6_6 = 0 | (all_48_0_2998 = 0 & s(all_48_1_2999) = 0)
% 54.16/15.76  									|
% 54.16/15.76  									+-Applying beta-rule and splitting (5828), into two cases.
% 54.16/15.76  									|-Branch one:
% 54.16/15.76  									| (54) all_0_6_6 = 0
% 54.16/15.76  									|
% 54.16/15.76  										| Equations (54) can reduce 2980 to:
% 54.16/15.76  										| (59) $false
% 54.16/15.76  										|
% 54.16/15.76  										|-The branch is then unsatisfiable
% 54.16/15.76  									|-Branch two:
% 54.16/15.76  									| (2980)  ~ (all_0_6_6 = 0)
% 54.16/15.76  									| (5832) all_48_0_2998 = 0 & s(all_48_1_2999) = 0
% 54.16/15.76  									|
% 54.16/15.76  										| Applying alpha-rule on (5832) yields:
% 54.16/15.76  										| (5833) all_48_0_2998 = 0
% 54.16/15.76  										| (5834) s(all_48_1_2999) = 0
% 54.16/15.76  										|
% 54.16/15.76  										+-Applying beta-rule and splitting (3057), into two cases.
% 54.16/15.76  										|-Branch one:
% 54.16/15.76  										| (3066) all_0_12_12 = 0 & s(all_0_13_13) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.16/15.76  										|
% 54.16/15.76  											| Applying alpha-rule on (3066) yields:
% 54.16/15.76  											| (66) all_0_12_12 = 0
% 54.16/15.76  											| (310) s(all_0_13_13) = 0
% 54.16/15.76  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.16/15.76  											|
% 54.16/15.76  											| Instantiating formula (61) with all_0_0_0, all_0_1_1 and discharging atoms p(all_0_1_1) = all_0_0_0, yields:
% 54.16/15.76  											| (63) all_0_0_0 = 0
% 54.16/15.76  											|
% 54.16/15.76  											| From (63) and (12) follows:
% 54.16/15.76  											| (64) p(all_0_1_1) = 0
% 54.16/15.76  											|
% 54.16/15.76  											+-Applying beta-rule and splitting (1625), into two cases.
% 54.16/15.76  											|-Branch one:
% 54.16/15.76  											| (1642) all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0
% 54.16/15.76  											|
% 54.16/15.76  												| Applying alpha-rule on (1642) yields:
% 54.16/15.76  												| (74) all_0_14_14 = 0
% 54.16/15.76  												| (71)  ~ (all_0_16_16 = 0)
% 54.16/15.76  												| (23) q(all_0_17_17) = all_0_16_16
% 54.16/15.76  												| (105) p(all_0_15_15) = 0
% 54.16/15.76  												|
% 54.16/15.76  												| Instantiating formula (717) with all_0_16_16, all_0_17_17 and discharging atoms q(all_0_17_17) = all_0_16_16, yields:
% 54.16/15.76  												| (2513)  ? [v0] :  ? [v1] : (( ~ (all_0_16_16 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_0_16_16 = 0 | (v1 = 0 & q(v0) = 0)))
% 54.16/15.76  												|
% 54.16/15.76  												| Instantiating (2513) with all_97_0_3008, all_97_1_3009 yields:
% 54.16/15.76  												| (5847) ( ~ (all_0_16_16 = 0) | ( ~ (all_97_0_3008 = 0) & q(all_97_1_3009) = all_97_0_3008)) & (all_0_16_16 = 0 | (all_97_0_3008 = 0 & q(all_97_1_3009) = 0))
% 54.16/15.76  												|
% 54.16/15.76  												| Applying alpha-rule on (5847) yields:
% 54.16/15.76  												| (5848)  ~ (all_0_16_16 = 0) | ( ~ (all_97_0_3008 = 0) & q(all_97_1_3009) = all_97_0_3008)
% 54.16/15.76  												| (5849) all_0_16_16 = 0 | (all_97_0_3008 = 0 & q(all_97_1_3009) = 0)
% 54.16/15.76  												|
% 54.16/15.76  												+-Applying beta-rule and splitting (5849), into two cases.
% 54.16/15.76  												|-Branch one:
% 54.16/15.76  												| (42) all_0_16_16 = 0
% 54.16/15.76  												|
% 54.16/15.76  													| Equations (42) can reduce 71 to:
% 54.16/15.76  													| (59) $false
% 54.16/15.76  													|
% 54.16/15.76  													|-The branch is then unsatisfiable
% 54.16/15.76  												|-Branch two:
% 54.16/15.76  												| (71)  ~ (all_0_16_16 = 0)
% 54.16/15.76  												| (5853) all_97_0_3008 = 0 & q(all_97_1_3009) = 0
% 54.16/15.76  												|
% 54.16/15.76  													| Applying alpha-rule on (5853) yields:
% 54.16/15.76  													| (5854) all_97_0_3008 = 0
% 54.16/15.76  													| (5855) q(all_97_1_3009) = 0
% 54.16/15.76  													|
% 54.16/15.76  													| Instantiating formula (212) with all_97_1_3009 and discharging atoms q(all_97_1_3009) = 0, yields:
% 54.16/15.76  													| (79) $false
% 54.16/15.76  													|
% 54.16/15.76  													|-The branch is then unsatisfiable
% 54.16/15.76  											|-Branch two:
% 54.16/15.76  											| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 54.16/15.76  											|
% 54.16/15.76  												| Applying alpha-rule on (76) yields:
% 54.16/15.76  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.16/15.76  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.16/15.76  												|
% 54.16/15.76  												| Instantiating formula (78) with all_0_1_1 and discharging atoms p(all_0_1_1) = 0, yields:
% 54.16/15.76  												| (79) $false
% 54.16/15.76  												|
% 54.16/15.76  												|-The branch is then unsatisfiable
% 54.16/15.76  										|-Branch two:
% 54.16/15.76  										| (3084)  ~ (all_0_12_12 = 0) & p(all_0_13_13) = all_0_12_12 &  ! [v0] :  ~ (s(v0) = 0)
% 54.16/15.76  										|
% 54.16/15.76  											| Applying alpha-rule on (3084) yields:
% 54.16/15.76  											| (135)  ~ (all_0_12_12 = 0)
% 54.16/15.76  											| (3086) p(all_0_13_13) = all_0_12_12
% 54.16/15.76  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 54.16/15.76  											|
% 54.16/15.76  											| Instantiating formula (62) with all_48_1_2999 and discharging atoms s(all_48_1_2999) = 0, yields:
% 54.16/15.76  											| (79) $false
% 54.16/15.76  											|
% 54.16/15.76  											|-The branch is then unsatisfiable
% 54.16/15.77  |-Branch two:
% 54.16/15.77  | (5866)  ! [v0] :  ! [v1] : ( ~ (p(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & p(v2) = v3)) & (v1 = 0 | (v3 = 0 & p(v2) = 0)))) & ((((all_0_0_0 = 0 &  ~ (all_0_2_2 = 0) & r(all_0_3_3) = all_0_2_2 & q(all_0_1_1) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] :  ~ (q(v0) = 0))) & ((((r(all_0_5_5) = all_0_4_4 &  ! [v0] :  ! [v1] : ( ~ (all_0_4_4 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_4_4 = 0 |  ~ (r(v0) = 0)) & ((((all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_7_7) = 0 & p(all_0_9_9) = all_0_8_8) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))) | ( ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_8_8 = 0 & s(all_0_9_9) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_8_8 = 0) & p(all_0_9_9) = all_0_8_8 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (s(v0) = 0)) & ((all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))))) & ((q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (q(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_21_21) = all_0_20_20 & r(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_20_20 = 0 & r(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_20_20 = 0) & s(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (r(v0) = 0)))))) | (((r(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (r(v0) = 0)) & ((((all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))) | ( ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))))) & ((q(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (q(v0) = 0)) & ((all_0_10_10 = 0 & r(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (r(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 & r(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))))))) | (((all_0_4_4 = 0 & q(all_0_5_5) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))) | ( ~ (all_0_4_4 = 0) & r(all_0_5_5) = all_0_4_4 &  ! [v0] :  ~ (q(v0) = 0))) & ((((r(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (r(v0) = 0)) & ((((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))) | ( ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))))) & ((q(all_0_7_7) = all_0_6_6 &  ! [v0] :  ! [v1] : ( ~ (all_0_6_6 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_6_6 = 0 |  ~ (q(v0) = 0)) & ((all_0_8_8 = 0 & r(all_0_9_9) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_8_8 = 0) & s(all_0_9_9) = all_0_8_8 &  ! [v0] :  ~ (r(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_9_9) = all_0_8_8 & r(all_0_7_7) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))))) | (((r(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (r(v0) = 0)) & ((((all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))) | ( ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))))) & ((q(all_0_7_7) = all_0_6_6 &  ! [v0] :  ! [v1] : ( ~ (all_0_6_6 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_6_6 = 0 |  ~ (q(v0) = 0)) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 & r(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_10_10 = 0 & r(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (r(v0) = 0)))))))))
% 54.16/15.77  |
% 54.16/15.77  	| Applying alpha-rule on (5866) yields:
% 54.16/15.77  	| (5867)  ! [v0] :  ! [v1] : ( ~ (p(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & p(v2) = v3)) & (v1 = 0 | (v3 = 0 & p(v2) = 0))))
% 54.16/15.77  	| (5868) (((all_0_0_0 = 0 &  ~ (all_0_2_2 = 0) & r(all_0_3_3) = all_0_2_2 & q(all_0_1_1) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] :  ~ (q(v0) = 0))) & ((((r(all_0_5_5) = all_0_4_4 &  ! [v0] :  ! [v1] : ( ~ (all_0_4_4 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_4_4 = 0 |  ~ (r(v0) = 0)) & ((((all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_7_7) = 0 & p(all_0_9_9) = all_0_8_8) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))) | ( ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_8_8 = 0 & s(all_0_9_9) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_8_8 = 0) & p(all_0_9_9) = all_0_8_8 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (s(v0) = 0)) & ((all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))))) & ((q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (q(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_21_21) = all_0_20_20 & r(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_20_20 = 0 & r(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_20_20 = 0) & s(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (r(v0) = 0)))))) | (((r(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (r(v0) = 0)) & ((((all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))) | ( ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))))) & ((q(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (q(v0) = 0)) & ((all_0_10_10 = 0 & r(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (r(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 & r(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))))))) | (((all_0_4_4 = 0 & q(all_0_5_5) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))) | ( ~ (all_0_4_4 = 0) & r(all_0_5_5) = all_0_4_4 &  ! [v0] :  ~ (q(v0) = 0))) & ((((r(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (r(v0) = 0)) & ((((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))) | ( ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))))) & ((q(all_0_7_7) = all_0_6_6 &  ! [v0] :  ! [v1] : ( ~ (all_0_6_6 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_6_6 = 0 |  ~ (q(v0) = 0)) & ((all_0_8_8 = 0 & r(all_0_9_9) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_8_8 = 0) & s(all_0_9_9) = all_0_8_8 &  ! [v0] :  ~ (r(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_9_9) = all_0_8_8 & r(all_0_7_7) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))))) | (((r(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (r(v0) = 0)) & ((((all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))) | ( ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))))) & ((q(all_0_7_7) = all_0_6_6 &  ! [v0] :  ! [v1] : ( ~ (all_0_6_6 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_6_6 = 0 |  ~ (q(v0) = 0)) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 & r(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_10_10 = 0 & r(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (r(v0) = 0))))))))
% 54.16/15.78  	|
% 54.16/15.78  	+-Applying beta-rule and splitting (5868), into two cases.
% 54.16/15.78  	|-Branch one:
% 54.16/15.78  	| (5869) ((all_0_0_0 = 0 &  ~ (all_0_2_2 = 0) & r(all_0_3_3) = all_0_2_2 & q(all_0_1_1) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] :  ~ (q(v0) = 0))) & ((((r(all_0_5_5) = all_0_4_4 &  ! [v0] :  ! [v1] : ( ~ (all_0_4_4 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_4_4 = 0 |  ~ (r(v0) = 0)) & ((((all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_7_7) = 0 & p(all_0_9_9) = all_0_8_8) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))) | ( ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_8_8 = 0 & s(all_0_9_9) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_8_8 = 0) & p(all_0_9_9) = all_0_8_8 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (s(v0) = 0)) & ((all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))))) & ((q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (q(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_21_21) = all_0_20_20 & r(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_20_20 = 0 & r(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_20_20 = 0) & s(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (r(v0) = 0)))))) | (((r(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (r(v0) = 0)) & ((((all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))) | ( ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))))) & ((q(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (q(v0) = 0)) & ((all_0_10_10 = 0 & r(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (r(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 & r(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))))))
% 54.16/15.78  	|
% 54.16/15.78  		| Applying alpha-rule on (5869) yields:
% 54.16/15.79  		| (5870) (all_0_0_0 = 0 &  ~ (all_0_2_2 = 0) & r(all_0_3_3) = all_0_2_2 & q(all_0_1_1) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] :  ~ (q(v0) = 0))
% 54.16/15.79  		| (18) (((r(all_0_5_5) = all_0_4_4 &  ! [v0] :  ! [v1] : ( ~ (all_0_4_4 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_4_4 = 0 |  ~ (r(v0) = 0)) & ((((all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_7_7) = 0 & p(all_0_9_9) = all_0_8_8) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))) | ( ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_8_8 = 0 & s(all_0_9_9) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_8_8 = 0) & p(all_0_9_9) = all_0_8_8 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (s(v0) = 0)) & ((all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))))) & ((q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (q(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_21_21) = all_0_20_20 & r(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_20_20 = 0 & r(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_20_20 = 0) & s(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (r(v0) = 0)))))) | (((r(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (r(v0) = 0)) & ((((all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))) | ( ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))))) & ((q(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (q(v0) = 0)) & ((all_0_10_10 = 0 & r(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (r(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 & r(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0))))))
% 54.16/15.79  		|
% 54.16/15.79  		+-Applying beta-rule and splitting (18), into two cases.
% 54.16/15.79  		|-Branch one:
% 54.16/15.79  		| (19) ((r(all_0_5_5) = all_0_4_4 &  ! [v0] :  ! [v1] : ( ~ (all_0_4_4 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_4_4 = 0 |  ~ (r(v0) = 0)) & ((((all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_7_7) = 0 & p(all_0_9_9) = all_0_8_8) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))) | ( ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_8_8 = 0 & s(all_0_9_9) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_8_8 = 0) & p(all_0_9_9) = all_0_8_8 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (s(v0) = 0)) & ((all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))))) & ((q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (q(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_21_21) = all_0_20_20 & r(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_20_20 = 0 & r(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_20_20 = 0) & s(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (r(v0) = 0)))))
% 54.16/15.79  		|
% 54.16/15.79  			| Applying alpha-rule on (19) yields:
% 54.16/15.79  			| (20) (r(all_0_5_5) = all_0_4_4 &  ! [v0] :  ! [v1] : ( ~ (all_0_4_4 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_4_4 = 0 |  ~ (r(v0) = 0)) & ((((all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_7_7) = 0 & p(all_0_9_9) = all_0_8_8) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))) | ( ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_8_8 = 0 & s(all_0_9_9) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_8_8 = 0) & p(all_0_9_9) = all_0_8_8 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (s(v0) = 0)) & ((all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))))
% 54.16/15.79  			| (21) (q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (q(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_21_21) = all_0_20_20 & r(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_20_20 = 0 & r(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_20_20 = 0) & s(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (r(v0) = 0))))
% 54.16/15.79  			|
% 54.16/15.79  			+-Applying beta-rule and splitting (21), into two cases.
% 54.16/15.79  			|-Branch one:
% 54.16/15.79  			| (22) q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (q(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_21_21) = all_0_20_20 & r(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))
% 54.16/15.79  			|
% 54.16/15.79  				| Applying alpha-rule on (22) yields:
% 54.16/15.79  				| (23) q(all_0_17_17) = all_0_16_16
% 54.16/15.79  				| (24)  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (q(v0) = v1))
% 54.16/15.79  				| (25)  ! [v0] : (all_0_16_16 = 0 |  ~ (q(v0) = 0))
% 54.16/15.79  				| (26) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_21_21) = all_0_20_20 & r(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0))
% 54.16/15.79  				|
% 54.16/15.79  				+-Applying beta-rule and splitting (20), into two cases.
% 54.16/15.79  				|-Branch one:
% 54.16/15.79  				| (27) r(all_0_5_5) = all_0_4_4 &  ! [v0] :  ! [v1] : ( ~ (all_0_4_4 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_4_4 = 0 |  ~ (r(v0) = 0)) & ((((all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_7_7) = 0 & p(all_0_9_9) = all_0_8_8) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))
% 54.16/15.79  				|
% 54.16/15.79  					| Applying alpha-rule on (27) yields:
% 54.16/15.79  					| (28) r(all_0_5_5) = all_0_4_4
% 54.16/15.79  					| (29)  ! [v0] :  ! [v1] : ( ~ (all_0_4_4 = 0) | v1 = 0 |  ~ (r(v0) = v1))
% 54.16/15.79  					| (30)  ! [v0] : (all_0_4_4 = 0 |  ~ (r(v0) = 0))
% 54.16/15.79  					| (31) (((all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_7_7) = 0 & p(all_0_9_9) = all_0_8_8) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))
% 54.16/15.79  					|
% 54.16/15.79  					+-Applying beta-rule and splitting (26), into two cases.
% 54.16/15.79  					|-Branch one:
% 54.16/15.79  					| (32) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_21_21) = all_0_20_20 & r(all_0_19_19) = 0
% 54.16/15.79  					|
% 54.16/15.79  						| Applying alpha-rule on (32) yields:
% 54.16/15.79  						| (33) all_0_18_18 = 0
% 54.16/15.79  						| (34)  ~ (all_0_20_20 = 0)
% 54.16/15.79  						| (35) s(all_0_21_21) = all_0_20_20
% 54.16/15.79  						| (36) r(all_0_19_19) = 0
% 54.16/15.79  						|
% 54.16/15.79  						| Instantiating formula (30) with all_0_19_19 and discharging atoms r(all_0_19_19) = 0, yields:
% 54.16/15.79  						| (37) all_0_4_4 = 0
% 54.16/15.79  						|
% 54.16/15.80  						+-Applying beta-rule and splitting (5870), into two cases.
% 54.16/15.80  						|-Branch one:
% 54.16/15.80  						| (5891) all_0_0_0 = 0 &  ~ (all_0_2_2 = 0) & r(all_0_3_3) = all_0_2_2 & q(all_0_1_1) = 0
% 54.16/15.80  						|
% 54.16/15.80  							| Applying alpha-rule on (5891) yields:
% 54.16/15.80  							| (63) all_0_0_0 = 0
% 54.16/15.80  							| (210)  ~ (all_0_2_2 = 0)
% 54.16/15.80  							| (211) r(all_0_3_3) = all_0_2_2
% 54.16/15.80  							| (5895) q(all_0_1_1) = 0
% 54.16/15.80  							|
% 54.16/15.80  							| Instantiating formula (29) with all_0_2_2, all_0_3_3 and discharging atoms r(all_0_3_3) = all_0_2_2, yields:
% 54.16/15.80  							| (213)  ~ (all_0_4_4 = 0) | all_0_2_2 = 0
% 54.16/15.80  							|
% 54.16/15.80  							+-Applying beta-rule and splitting (213), into two cases.
% 54.16/15.80  							|-Branch one:
% 54.16/15.80  							| (214)  ~ (all_0_4_4 = 0)
% 54.16/15.80  							|
% 54.16/15.80  								| Equations (37) can reduce 214 to:
% 54.16/15.80  								| (59) $false
% 54.16/15.80  								|
% 54.16/15.80  								|-The branch is then unsatisfiable
% 54.16/15.80  							|-Branch two:
% 54.16/15.80  							| (37) all_0_4_4 = 0
% 54.16/15.80  							| (39) all_0_2_2 = 0
% 54.16/15.80  							|
% 54.16/15.80  								| Equations (39) can reduce 210 to:
% 54.16/15.80  								| (59) $false
% 54.16/15.80  								|
% 54.16/15.80  								|-The branch is then unsatisfiable
% 54.16/15.80  						|-Branch two:
% 54.16/15.80  						| (2985)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] :  ~ (q(v0) = 0)
% 54.16/15.80  						|
% 54.16/15.80  							| Applying alpha-rule on (2985) yields:
% 54.16/15.80  							| (41)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 54.16/15.80  							| (212)  ! [v0] :  ~ (q(v0) = 0)
% 54.16/15.80  							|
% 54.16/15.80  							+-Applying beta-rule and splitting (31), into two cases.
% 54.16/15.80  							|-Branch one:
% 54.16/15.80  							| (43) ((all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_7_7) = 0 & p(all_0_9_9) = all_0_8_8) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))))
% 54.16/15.80  							|
% 54.16/15.80  								| Applying alpha-rule on (43) yields:
% 54.16/15.80  								| (44) (all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_7_7) = 0 & p(all_0_9_9) = all_0_8_8) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))
% 54.16/15.80  								| (45) (s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0))))
% 54.16/15.80  								|
% 54.16/15.80  								+-Applying beta-rule and splitting (45), into two cases.
% 54.16/15.80  								|-Branch one:
% 54.16/15.80  								| (46) s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 54.16/15.80  								|
% 54.16/15.80  									| Applying alpha-rule on (46) yields:
% 54.16/15.80  									| (47) s(all_0_11_11) = all_0_10_10
% 54.16/15.80  									| (48)  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 54.16/15.80  									| (49)  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0))
% 54.16/15.80  									| (50) (all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 54.16/15.80  									|
% 54.16/15.80  									| Instantiating formula (48) with all_0_20_20, all_0_21_21 and discharging atoms s(all_0_21_21) = all_0_20_20, yields:
% 54.16/15.80  									| (51)  ~ (all_0_10_10 = 0) | all_0_20_20 = 0
% 54.16/15.80  									|
% 54.16/15.80  									+-Applying beta-rule and splitting (51), into two cases.
% 54.16/15.80  									|-Branch one:
% 54.16/15.80  									| (52)  ~ (all_0_10_10 = 0)
% 54.16/15.80  									|
% 54.38/15.80  										+-Applying beta-rule and splitting (44), into two cases.
% 54.38/15.80  										|-Branch one:
% 54.38/15.80  										| (53) all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_7_7) = 0 & p(all_0_9_9) = all_0_8_8
% 54.38/15.80  										|
% 54.38/15.80  											| Applying alpha-rule on (53) yields:
% 54.38/15.80  											| (54) all_0_6_6 = 0
% 54.38/15.80  											| (55)  ~ (all_0_8_8 = 0)
% 54.38/15.80  											| (56) s(all_0_7_7) = 0
% 54.38/15.80  											| (57) p(all_0_9_9) = all_0_8_8
% 54.38/15.80  											|
% 54.38/15.80  											| Instantiating formula (49) with all_0_7_7 and discharging atoms s(all_0_7_7) = 0, yields:
% 54.38/15.80  											| (58) all_0_10_10 = 0
% 54.38/15.80  											|
% 54.38/15.80  											| Equations (58) can reduce 52 to:
% 54.38/15.80  											| (59) $false
% 54.38/15.80  											|
% 54.38/15.80  											|-The branch is then unsatisfiable
% 54.38/15.80  										|-Branch two:
% 54.38/15.80  										| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 54.38/15.80  										|
% 54.38/15.80  											| Applying alpha-rule on (60) yields:
% 54.38/15.80  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.38/15.80  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 54.38/15.80  											|
% 54.38/15.80  											+-Applying beta-rule and splitting (50), into two cases.
% 54.38/15.80  											|-Branch one:
% 54.38/15.80  											| (65) all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0
% 54.38/15.80  											|
% 54.38/15.80  												| Applying alpha-rule on (65) yields:
% 54.38/15.80  												| (66) all_0_12_12 = 0
% 54.38/15.80  												| (67)  ~ (all_0_14_14 = 0)
% 54.38/15.80  												| (68) q(all_0_15_15) = all_0_14_14
% 54.38/15.80  												| (69) p(all_0_13_13) = 0
% 54.38/15.80  												|
% 54.38/15.80  												| Instantiating formula (5867) with 0, all_0_13_13 and discharging atoms p(all_0_13_13) = 0, yields:
% 54.38/15.80  												| (5930)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & p(v0) = v1)
% 54.38/15.80  												|
% 54.38/15.80  												| Instantiating (5930) with all_76_0_3012, all_76_1_3013 yields:
% 54.38/15.80  												| (5931)  ~ (all_76_0_3012 = 0) & p(all_76_1_3013) = all_76_0_3012
% 54.38/15.80  												|
% 54.38/15.80  												| Applying alpha-rule on (5931) yields:
% 54.38/15.80  												| (5932)  ~ (all_76_0_3012 = 0)
% 54.38/15.80  												| (5933) p(all_76_1_3013) = all_76_0_3012
% 54.38/15.80  												|
% 54.38/15.80  												| Instantiating formula (61) with all_76_0_3012, all_76_1_3013 and discharging atoms p(all_76_1_3013) = all_76_0_3012, yields:
% 54.38/15.80  												| (5934) all_76_0_3012 = 0
% 54.38/15.80  												|
% 54.38/15.80  												| Equations (5934) can reduce 5932 to:
% 54.38/15.80  												| (59) $false
% 54.38/15.80  												|
% 54.38/15.80  												|-The branch is then unsatisfiable
% 54.38/15.80  											|-Branch two:
% 54.38/15.80  											| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 54.38/15.80  											|
% 54.38/15.80  												| Applying alpha-rule on (76) yields:
% 54.38/15.80  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.38/15.80  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.38/15.80  												|
% 54.38/15.80  												| Instantiating formula (77) with all_0_16_16, all_0_17_17 and discharging atoms q(all_0_17_17) = all_0_16_16, yields:
% 54.38/15.80  												| (42) all_0_16_16 = 0
% 54.38/15.80  												|
% 54.38/15.80  												| From (42) and (23) follows:
% 54.38/15.80  												| (264) q(all_0_17_17) = 0
% 54.38/15.80  												|
% 54.38/15.80  												| Instantiating formula (212) with all_0_17_17 and discharging atoms q(all_0_17_17) = 0, yields:
% 54.38/15.80  												| (79) $false
% 54.38/15.80  												|
% 54.38/15.80  												|-The branch is then unsatisfiable
% 54.38/15.80  									|-Branch two:
% 54.38/15.80  									| (58) all_0_10_10 = 0
% 54.38/15.80  									| (81) all_0_20_20 = 0
% 54.38/15.80  									|
% 54.38/15.80  										| Equations (81) can reduce 34 to:
% 54.38/15.80  										| (59) $false
% 54.38/15.80  										|
% 54.38/15.80  										|-The branch is then unsatisfiable
% 54.38/15.80  								|-Branch two:
% 54.38/15.80  								| (83)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))
% 54.38/15.80  								|
% 54.38/15.80  									| Applying alpha-rule on (83) yields:
% 54.38/15.80  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 54.38/15.80  									| (85) (all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0))
% 54.38/15.80  									|
% 54.38/15.80  									| Instantiating formula (84) with all_0_20_20, all_0_21_21 and discharging atoms s(all_0_21_21) = all_0_20_20, yields:
% 54.38/15.80  									| (86)  ? [v0] :  ? [v1] : (( ~ (all_0_20_20 = 0) | ( ~ (v1 = 0) & s(v0) = v1)) & (all_0_20_20 = 0 | (v1 = 0 & s(v0) = 0)))
% 54.38/15.80  									|
% 54.38/15.80  									| Instantiating (86) with all_55_0_3014, all_55_1_3015 yields:
% 54.38/15.80  									| (5949) ( ~ (all_0_20_20 = 0) | ( ~ (all_55_0_3014 = 0) & s(all_55_1_3015) = all_55_0_3014)) & (all_0_20_20 = 0 | (all_55_0_3014 = 0 & s(all_55_1_3015) = 0))
% 54.38/15.80  									|
% 54.38/15.80  									| Applying alpha-rule on (5949) yields:
% 54.38/15.80  									| (5950)  ~ (all_0_20_20 = 0) | ( ~ (all_55_0_3014 = 0) & s(all_55_1_3015) = all_55_0_3014)
% 54.38/15.80  									| (5951) all_0_20_20 = 0 | (all_55_0_3014 = 0 & s(all_55_1_3015) = 0)
% 54.38/15.80  									|
% 54.38/15.80  									+-Applying beta-rule and splitting (5951), into two cases.
% 54.38/15.80  									|-Branch one:
% 54.38/15.80  									| (81) all_0_20_20 = 0
% 54.38/15.80  									|
% 54.38/15.80  										| Equations (81) can reduce 34 to:
% 54.38/15.80  										| (59) $false
% 54.38/15.80  										|
% 54.38/15.80  										|-The branch is then unsatisfiable
% 54.38/15.80  									|-Branch two:
% 54.38/15.80  									| (34)  ~ (all_0_20_20 = 0)
% 54.38/15.80  									| (5955) all_55_0_3014 = 0 & s(all_55_1_3015) = 0
% 54.38/15.80  									|
% 54.38/15.80  										| Applying alpha-rule on (5955) yields:
% 54.38/15.80  										| (5956) all_55_0_3014 = 0
% 54.38/15.80  										| (5957) s(all_55_1_3015) = 0
% 54.38/15.80  										|
% 54.38/15.80  										+-Applying beta-rule and splitting (44), into two cases.
% 54.38/15.80  										|-Branch one:
% 54.38/15.80  										| (53) all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_7_7) = 0 & p(all_0_9_9) = all_0_8_8
% 54.38/15.80  										|
% 54.38/15.80  											| Applying alpha-rule on (53) yields:
% 54.38/15.80  											| (54) all_0_6_6 = 0
% 54.38/15.80  											| (55)  ~ (all_0_8_8 = 0)
% 54.38/15.80  											| (56) s(all_0_7_7) = 0
% 54.38/15.80  											| (57) p(all_0_9_9) = all_0_8_8
% 54.38/15.80  											|
% 54.38/15.80  											| Instantiating formula (5867) with all_0_8_8, all_0_9_9 and discharging atoms p(all_0_9_9) = all_0_8_8, yields:
% 54.38/15.80  											| (5963)  ? [v0] :  ? [v1] : (( ~ (all_0_8_8 = 0) | ( ~ (v1 = 0) & p(v0) = v1)) & (all_0_8_8 = 0 | (v1 = 0 & p(v0) = 0)))
% 54.38/15.80  											|
% 54.38/15.80  											| Instantiating (5963) with all_83_0_3020, all_83_1_3021 yields:
% 54.38/15.80  											| (5964) ( ~ (all_0_8_8 = 0) | ( ~ (all_83_0_3020 = 0) & p(all_83_1_3021) = all_83_0_3020)) & (all_0_8_8 = 0 | (all_83_0_3020 = 0 & p(all_83_1_3021) = 0))
% 54.38/15.80  											|
% 54.38/15.80  											| Applying alpha-rule on (5964) yields:
% 54.38/15.80  											| (5965)  ~ (all_0_8_8 = 0) | ( ~ (all_83_0_3020 = 0) & p(all_83_1_3021) = all_83_0_3020)
% 54.38/15.80  											| (5966) all_0_8_8 = 0 | (all_83_0_3020 = 0 & p(all_83_1_3021) = 0)
% 54.38/15.80  											|
% 54.38/15.80  											+-Applying beta-rule and splitting (5966), into two cases.
% 54.38/15.80  											|-Branch one:
% 54.38/15.80  											| (120) all_0_8_8 = 0
% 54.38/15.80  											|
% 54.38/15.80  												| Equations (120) can reduce 55 to:
% 54.38/15.80  												| (59) $false
% 54.38/15.80  												|
% 54.38/15.80  												|-The branch is then unsatisfiable
% 54.38/15.80  											|-Branch two:
% 54.38/15.80  											| (55)  ~ (all_0_8_8 = 0)
% 54.38/15.80  											| (5970) all_83_0_3020 = 0 & p(all_83_1_3021) = 0
% 54.38/15.80  											|
% 54.38/15.80  												| Applying alpha-rule on (5970) yields:
% 54.38/15.80  												| (5971) all_83_0_3020 = 0
% 54.38/15.80  												| (5972) p(all_83_1_3021) = 0
% 54.38/15.80  												|
% 54.38/15.80  												+-Applying beta-rule and splitting (85), into two cases.
% 54.38/15.80  												|-Branch one:
% 54.38/15.80  												| (103) all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.38/15.80  												|
% 54.38/15.80  													| Applying alpha-rule on (103) yields:
% 54.38/15.80  													| (74) all_0_14_14 = 0
% 54.38/15.80  													| (105) p(all_0_15_15) = 0
% 54.38/15.80  													| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.38/15.80  													|
% 54.38/15.80  													| Instantiating formula (77) with all_0_16_16, all_0_17_17 and discharging atoms q(all_0_17_17) = all_0_16_16, yields:
% 54.38/15.80  													| (42) all_0_16_16 = 0
% 54.38/15.80  													|
% 54.38/15.80  													| From (42) and (23) follows:
% 54.38/15.80  													| (264) q(all_0_17_17) = 0
% 54.38/15.80  													|
% 54.38/15.80  													| Instantiating formula (212) with all_0_17_17 and discharging atoms q(all_0_17_17) = 0, yields:
% 54.38/15.80  													| (79) $false
% 54.38/15.80  													|
% 54.38/15.80  													|-The branch is then unsatisfiable
% 54.38/15.80  												|-Branch two:
% 54.38/15.80  												| (109)  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)
% 54.38/15.80  												|
% 54.38/15.80  													| Applying alpha-rule on (109) yields:
% 54.38/15.80  													| (67)  ~ (all_0_14_14 = 0)
% 54.38/15.80  													| (68) q(all_0_15_15) = all_0_14_14
% 54.38/15.80  													| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.38/15.80  													|
% 54.38/15.80  													| Instantiating formula (78) with all_83_1_3021 and discharging atoms p(all_83_1_3021) = 0, yields:
% 54.38/15.80  													| (79) $false
% 54.38/15.80  													|
% 54.38/15.80  													|-The branch is then unsatisfiable
% 54.38/15.80  										|-Branch two:
% 54.38/15.80  										| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 54.38/15.80  										|
% 54.38/15.80  											| Applying alpha-rule on (60) yields:
% 54.38/15.80  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.38/15.80  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 54.38/15.80  											|
% 54.38/15.80  											| Instantiating formula (62) with all_55_1_3015 and discharging atoms s(all_55_1_3015) = 0, yields:
% 54.38/15.80  											| (79) $false
% 54.38/15.80  											|
% 54.38/15.80  											|-The branch is then unsatisfiable
% 54.38/15.81  							|-Branch two:
% 54.38/15.81  							| (126) ((all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))
% 54.38/15.81  							|
% 54.38/15.81  								| Applying alpha-rule on (126) yields:
% 54.38/15.81  								| (127) (all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))
% 54.38/15.81  								| (128) (s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))
% 54.38/15.81  								|
% 54.38/15.81  								+-Applying beta-rule and splitting (128), into two cases.
% 54.38/15.81  								|-Branch one:
% 54.38/15.81  								| (129) s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))
% 54.38/15.81  								|
% 54.38/15.81  									| Applying alpha-rule on (129) yields:
% 54.38/15.81  									| (130) s(all_0_13_13) = all_0_12_12
% 54.38/15.81  									| (131)  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 54.38/15.81  									| (132)  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0))
% 54.38/15.81  									| (85) (all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0))
% 54.38/15.81  									|
% 54.38/15.81  									| Instantiating formula (131) with all_0_20_20, all_0_21_21 and discharging atoms s(all_0_21_21) = all_0_20_20, yields:
% 54.38/15.81  									| (134)  ~ (all_0_12_12 = 0) | all_0_20_20 = 0
% 54.38/15.81  									|
% 54.38/15.81  									+-Applying beta-rule and splitting (134), into two cases.
% 54.38/15.81  									|-Branch one:
% 54.38/15.81  									| (135)  ~ (all_0_12_12 = 0)
% 54.38/15.81  									|
% 54.38/15.81  										+-Applying beta-rule and splitting (127), into two cases.
% 54.38/15.81  										|-Branch one:
% 54.38/15.81  										| (136) all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.38/15.81  										|
% 54.38/15.81  											| Applying alpha-rule on (136) yields:
% 54.38/15.81  											| (58) all_0_10_10 = 0
% 54.38/15.81  											| (138) s(all_0_11_11) = 0
% 54.38/15.81  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.38/15.81  											|
% 54.38/15.81  											| Instantiating formula (132) with all_0_11_11 and discharging atoms s(all_0_11_11) = 0, yields:
% 54.38/15.81  											| (66) all_0_12_12 = 0
% 54.38/15.81  											|
% 54.38/15.81  											| Equations (66) can reduce 135 to:
% 54.38/15.81  											| (59) $false
% 54.38/15.81  											|
% 54.38/15.81  											|-The branch is then unsatisfiable
% 54.38/15.81  										|-Branch two:
% 54.38/15.81  										| (142)  ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0)
% 54.38/15.81  										|
% 54.38/15.81  											| Applying alpha-rule on (142) yields:
% 54.38/15.81  											| (52)  ~ (all_0_10_10 = 0)
% 54.38/15.81  											| (144) p(all_0_11_11) = all_0_10_10
% 54.38/15.81  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 54.38/15.81  											|
% 54.38/15.81  											| Instantiating formula (5867) with all_0_10_10, all_0_11_11 and discharging atoms p(all_0_11_11) = all_0_10_10, yields:
% 54.38/15.81  											| (6009)  ? [v0] :  ? [v1] : (( ~ (all_0_10_10 = 0) | ( ~ (v1 = 0) & p(v0) = v1)) & (all_0_10_10 = 0 | (v1 = 0 & p(v0) = 0)))
% 54.38/15.81  											|
% 54.38/15.81  											| Instantiating (6009) with all_73_0_3052, all_73_1_3053 yields:
% 54.38/15.81  											| (6010) ( ~ (all_0_10_10 = 0) | ( ~ (all_73_0_3052 = 0) & p(all_73_1_3053) = all_73_0_3052)) & (all_0_10_10 = 0 | (all_73_0_3052 = 0 & p(all_73_1_3053) = 0))
% 54.38/15.81  											|
% 54.38/15.81  											| Applying alpha-rule on (6010) yields:
% 54.38/15.81  											| (6011)  ~ (all_0_10_10 = 0) | ( ~ (all_73_0_3052 = 0) & p(all_73_1_3053) = all_73_0_3052)
% 54.38/15.81  											| (6012) all_0_10_10 = 0 | (all_73_0_3052 = 0 & p(all_73_1_3053) = 0)
% 54.38/15.81  											|
% 54.38/15.81  											+-Applying beta-rule and splitting (85), into two cases.
% 54.38/15.81  											|-Branch one:
% 54.38/15.81  											| (103) all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.38/15.81  											|
% 54.38/15.81  												| Applying alpha-rule on (103) yields:
% 54.38/15.81  												| (74) all_0_14_14 = 0
% 54.38/15.81  												| (105) p(all_0_15_15) = 0
% 54.38/15.81  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.38/15.81  												|
% 54.38/15.81  												| Instantiating formula (77) with all_0_16_16, all_0_17_17 and discharging atoms q(all_0_17_17) = all_0_16_16, yields:
% 54.38/15.81  												| (42) all_0_16_16 = 0
% 54.38/15.81  												|
% 54.38/15.81  												| From (42) and (23) follows:
% 54.38/15.81  												| (264) q(all_0_17_17) = 0
% 54.38/15.81  												|
% 54.38/15.81  												| Instantiating formula (212) with all_0_17_17 and discharging atoms q(all_0_17_17) = 0, yields:
% 54.38/15.81  												| (79) $false
% 54.38/15.81  												|
% 54.38/15.81  												|-The branch is then unsatisfiable
% 54.38/15.81  											|-Branch two:
% 54.38/15.81  											| (109)  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)
% 54.38/15.81  											|
% 54.38/15.81  												| Applying alpha-rule on (109) yields:
% 54.38/15.81  												| (67)  ~ (all_0_14_14 = 0)
% 54.38/15.81  												| (68) q(all_0_15_15) = all_0_14_14
% 54.38/15.81  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.38/15.81  												|
% 54.38/15.81  												+-Applying beta-rule and splitting (6012), into two cases.
% 54.38/15.81  												|-Branch one:
% 54.38/15.81  												| (58) all_0_10_10 = 0
% 54.38/15.81  												|
% 54.38/15.81  													| Equations (58) can reduce 52 to:
% 54.38/15.81  													| (59) $false
% 54.38/15.81  													|
% 54.38/15.81  													|-The branch is then unsatisfiable
% 54.38/15.81  												|-Branch two:
% 54.38/15.81  												| (52)  ~ (all_0_10_10 = 0)
% 54.38/15.81  												| (6027) all_73_0_3052 = 0 & p(all_73_1_3053) = 0
% 54.38/15.81  												|
% 54.38/15.81  													| Applying alpha-rule on (6027) yields:
% 54.38/15.81  													| (6028) all_73_0_3052 = 0
% 54.38/15.81  													| (6029) p(all_73_1_3053) = 0
% 54.38/15.81  													|
% 54.38/15.81  													| Instantiating formula (78) with all_73_1_3053 and discharging atoms p(all_73_1_3053) = 0, yields:
% 54.38/15.81  													| (79) $false
% 54.38/15.81  													|
% 54.38/15.81  													|-The branch is then unsatisfiable
% 54.38/15.81  									|-Branch two:
% 54.38/15.81  									| (66) all_0_12_12 = 0
% 54.38/15.81  									| (81) all_0_20_20 = 0
% 54.38/15.81  									|
% 54.38/15.81  										| Equations (81) can reduce 34 to:
% 54.38/15.81  										| (59) $false
% 54.38/15.81  										|
% 54.38/15.81  										|-The branch is then unsatisfiable
% 54.38/15.81  								|-Branch two:
% 54.38/15.81  								| (170)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 54.38/15.81  								|
% 54.38/15.81  									| Applying alpha-rule on (170) yields:
% 54.38/15.81  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 54.38/15.81  									| (50) (all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 54.38/15.81  									|
% 54.38/15.81  									| Instantiating formula (84) with all_0_20_20, all_0_21_21 and discharging atoms s(all_0_21_21) = all_0_20_20, yields:
% 54.38/15.81  									| (86)  ? [v0] :  ? [v1] : (( ~ (all_0_20_20 = 0) | ( ~ (v1 = 0) & s(v0) = v1)) & (all_0_20_20 = 0 | (v1 = 0 & s(v0) = 0)))
% 54.38/15.81  									|
% 54.38/15.81  									| Instantiating (86) with all_55_0_3054, all_55_1_3055 yields:
% 54.38/15.81  									| (6038) ( ~ (all_0_20_20 = 0) | ( ~ (all_55_0_3054 = 0) & s(all_55_1_3055) = all_55_0_3054)) & (all_0_20_20 = 0 | (all_55_0_3054 = 0 & s(all_55_1_3055) = 0))
% 54.38/15.81  									|
% 54.38/15.81  									| Applying alpha-rule on (6038) yields:
% 54.38/15.81  									| (6039)  ~ (all_0_20_20 = 0) | ( ~ (all_55_0_3054 = 0) & s(all_55_1_3055) = all_55_0_3054)
% 54.38/15.81  									| (6040) all_0_20_20 = 0 | (all_55_0_3054 = 0 & s(all_55_1_3055) = 0)
% 54.38/15.81  									|
% 54.38/15.81  									+-Applying beta-rule and splitting (6040), into two cases.
% 54.38/15.81  									|-Branch one:
% 54.38/15.81  									| (81) all_0_20_20 = 0
% 54.38/15.81  									|
% 54.38/15.81  										| Equations (81) can reduce 34 to:
% 54.38/15.81  										| (59) $false
% 54.38/15.81  										|
% 54.38/15.81  										|-The branch is then unsatisfiable
% 54.38/15.81  									|-Branch two:
% 54.38/15.81  									| (34)  ~ (all_0_20_20 = 0)
% 54.38/15.81  									| (6044) all_55_0_3054 = 0 & s(all_55_1_3055) = 0
% 54.38/15.81  									|
% 54.38/15.81  										| Applying alpha-rule on (6044) yields:
% 54.38/15.81  										| (6045) all_55_0_3054 = 0
% 54.38/15.81  										| (6046) s(all_55_1_3055) = 0
% 54.38/15.81  										|
% 54.38/15.81  										+-Applying beta-rule and splitting (127), into two cases.
% 54.38/15.81  										|-Branch one:
% 54.38/15.81  										| (136) all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.38/15.81  										|
% 54.38/15.81  											| Applying alpha-rule on (136) yields:
% 54.38/15.81  											| (58) all_0_10_10 = 0
% 54.38/15.81  											| (138) s(all_0_11_11) = 0
% 54.38/15.81  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.38/15.81  											|
% 54.38/15.81  											+-Applying beta-rule and splitting (50), into two cases.
% 54.38/15.81  											|-Branch one:
% 54.38/15.81  											| (65) all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0
% 54.38/15.81  											|
% 54.38/15.81  												| Applying alpha-rule on (65) yields:
% 54.38/15.81  												| (66) all_0_12_12 = 0
% 54.38/15.81  												| (67)  ~ (all_0_14_14 = 0)
% 54.38/15.81  												| (68) q(all_0_15_15) = all_0_14_14
% 54.38/15.81  												| (69) p(all_0_13_13) = 0
% 54.38/15.81  												|
% 54.38/15.81  												| Instantiating formula (5867) with 0, all_0_13_13 and discharging atoms p(all_0_13_13) = 0, yields:
% 54.38/15.81  												| (5930)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & p(v0) = v1)
% 54.38/15.81  												|
% 54.38/15.81  												| Instantiating (5930) with all_103_0_3064, all_103_1_3065 yields:
% 54.38/15.81  												| (6057)  ~ (all_103_0_3064 = 0) & p(all_103_1_3065) = all_103_0_3064
% 54.38/15.81  												|
% 54.38/15.81  												| Applying alpha-rule on (6057) yields:
% 54.38/15.81  												| (6058)  ~ (all_103_0_3064 = 0)
% 54.38/15.81  												| (6059) p(all_103_1_3065) = all_103_0_3064
% 54.38/15.81  												|
% 54.38/15.81  												| Instantiating formula (61) with all_103_0_3064, all_103_1_3065 and discharging atoms p(all_103_1_3065) = all_103_0_3064, yields:
% 54.38/15.81  												| (6060) all_103_0_3064 = 0
% 54.38/15.81  												|
% 54.38/15.81  												| Equations (6060) can reduce 6058 to:
% 54.38/15.81  												| (59) $false
% 54.38/15.81  												|
% 54.38/15.81  												|-The branch is then unsatisfiable
% 54.38/15.81  											|-Branch two:
% 54.38/15.81  											| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 54.38/15.81  											|
% 54.38/15.81  												| Applying alpha-rule on (76) yields:
% 54.38/15.81  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.38/15.81  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.38/15.81  												|
% 54.38/15.81  												| Instantiating formula (77) with all_0_16_16, all_0_17_17 and discharging atoms q(all_0_17_17) = all_0_16_16, yields:
% 54.38/15.81  												| (42) all_0_16_16 = 0
% 54.38/15.81  												|
% 54.38/15.81  												| From (42) and (23) follows:
% 54.38/15.82  												| (264) q(all_0_17_17) = 0
% 54.38/15.82  												|
% 54.38/15.82  												| Instantiating formula (212) with all_0_17_17 and discharging atoms q(all_0_17_17) = 0, yields:
% 54.38/15.82  												| (79) $false
% 54.38/15.82  												|
% 54.38/15.82  												|-The branch is then unsatisfiable
% 54.38/15.82  										|-Branch two:
% 54.38/15.82  										| (142)  ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0)
% 54.38/15.82  										|
% 54.38/15.82  											| Applying alpha-rule on (142) yields:
% 54.38/15.82  											| (52)  ~ (all_0_10_10 = 0)
% 54.38/15.82  											| (144) p(all_0_11_11) = all_0_10_10
% 54.38/15.82  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 54.38/15.82  											|
% 54.38/15.82  											| Instantiating formula (62) with all_55_1_3055 and discharging atoms s(all_55_1_3055) = 0, yields:
% 54.38/15.82  											| (79) $false
% 54.38/15.82  											|
% 54.38/15.82  											|-The branch is then unsatisfiable
% 54.38/15.82  					|-Branch two:
% 54.38/15.82  					| (219)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)
% 54.38/15.82  					|
% 54.38/15.82  						| Applying alpha-rule on (219) yields:
% 54.38/15.82  						| (220)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))
% 54.38/15.82  						| (221)  ! [v0] :  ~ (r(v0) = 0)
% 54.38/15.82  						|
% 54.38/15.82  						+-Applying beta-rule and splitting (5870), into two cases.
% 54.38/15.82  						|-Branch one:
% 54.38/15.82  						| (5891) all_0_0_0 = 0 &  ~ (all_0_2_2 = 0) & r(all_0_3_3) = all_0_2_2 & q(all_0_1_1) = 0
% 54.38/15.82  						|
% 54.38/15.82  							| Applying alpha-rule on (5891) yields:
% 54.38/15.82  							| (63) all_0_0_0 = 0
% 54.38/15.82  							| (210)  ~ (all_0_2_2 = 0)
% 54.38/15.82  							| (211) r(all_0_3_3) = all_0_2_2
% 54.38/15.82  							| (5895) q(all_0_1_1) = 0
% 54.38/15.82  							|
% 54.38/15.82  							| Instantiating formula (25) with all_0_1_1 and discharging atoms q(all_0_1_1) = 0, yields:
% 54.38/15.82  							| (42) all_0_16_16 = 0
% 54.38/15.82  							|
% 54.38/15.82  							+-Applying beta-rule and splitting (31), into two cases.
% 54.38/15.82  							|-Branch one:
% 54.38/15.82  							| (43) ((all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_7_7) = 0 & p(all_0_9_9) = all_0_8_8) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))))
% 54.38/15.82  							|
% 54.38/15.82  								| Applying alpha-rule on (43) yields:
% 54.38/15.82  								| (44) (all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_7_7) = 0 & p(all_0_9_9) = all_0_8_8) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))
% 54.38/15.82  								| (45) (s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0))))
% 54.38/15.82  								|
% 54.38/15.82  								+-Applying beta-rule and splitting (45), into two cases.
% 54.38/15.82  								|-Branch one:
% 54.38/15.82  								| (46) s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 54.38/15.82  								|
% 54.38/15.82  									| Applying alpha-rule on (46) yields:
% 54.38/15.82  									| (47) s(all_0_11_11) = all_0_10_10
% 54.38/15.82  									| (48)  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 54.38/15.82  									| (49)  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0))
% 54.38/15.82  									| (50) (all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 54.38/15.82  									|
% 54.38/15.82  									| Instantiating formula (220) with all_0_10_10, all_0_11_11 and discharging atoms s(all_0_11_11) = all_0_10_10, yields:
% 54.38/15.82  									| (58) all_0_10_10 = 0
% 54.38/15.82  									|
% 54.38/15.82  									| From (58) and (47) follows:
% 54.38/15.82  									| (138) s(all_0_11_11) = 0
% 54.38/15.82  									|
% 54.38/15.82  									+-Applying beta-rule and splitting (44), into two cases.
% 54.38/15.82  									|-Branch one:
% 54.38/15.82  									| (53) all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_7_7) = 0 & p(all_0_9_9) = all_0_8_8
% 54.38/15.82  									|
% 54.38/15.82  										| Applying alpha-rule on (53) yields:
% 54.38/15.82  										| (54) all_0_6_6 = 0
% 54.38/15.82  										| (55)  ~ (all_0_8_8 = 0)
% 54.38/15.82  										| (56) s(all_0_7_7) = 0
% 54.38/15.82  										| (57) p(all_0_9_9) = all_0_8_8
% 54.38/15.82  										|
% 54.38/15.82  										| Instantiating formula (5867) with all_0_8_8, all_0_9_9 and discharging atoms p(all_0_9_9) = all_0_8_8, yields:
% 54.38/15.82  										| (5963)  ? [v0] :  ? [v1] : (( ~ (all_0_8_8 = 0) | ( ~ (v1 = 0) & p(v0) = v1)) & (all_0_8_8 = 0 | (v1 = 0 & p(v0) = 0)))
% 54.38/15.82  										|
% 54.38/15.82  										| Instantiating (5963) with all_76_0_3068, all_76_1_3069 yields:
% 54.38/15.82  										| (6098) ( ~ (all_0_8_8 = 0) | ( ~ (all_76_0_3068 = 0) & p(all_76_1_3069) = all_76_0_3068)) & (all_0_8_8 = 0 | (all_76_0_3068 = 0 & p(all_76_1_3069) = 0))
% 54.38/15.82  										|
% 54.38/15.82  										| Applying alpha-rule on (6098) yields:
% 54.38/15.82  										| (6099)  ~ (all_0_8_8 = 0) | ( ~ (all_76_0_3068 = 0) & p(all_76_1_3069) = all_76_0_3068)
% 54.38/15.82  										| (6100) all_0_8_8 = 0 | (all_76_0_3068 = 0 & p(all_76_1_3069) = 0)
% 54.38/15.82  										|
% 54.38/15.82  										+-Applying beta-rule and splitting (50), into two cases.
% 54.38/15.82  										|-Branch one:
% 54.38/15.82  										| (65) all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0
% 54.38/15.82  										|
% 54.38/15.82  											| Applying alpha-rule on (65) yields:
% 54.38/15.82  											| (66) all_0_12_12 = 0
% 54.38/15.82  											| (67)  ~ (all_0_14_14 = 0)
% 54.38/15.82  											| (68) q(all_0_15_15) = all_0_14_14
% 54.38/15.82  											| (69) p(all_0_13_13) = 0
% 54.38/15.82  											|
% 54.38/15.82  											| Instantiating formula (24) with all_0_14_14, all_0_15_15 and discharging atoms q(all_0_15_15) = all_0_14_14, yields:
% 54.38/15.82  											| (70)  ~ (all_0_16_16 = 0) | all_0_14_14 = 0
% 54.38/15.82  											|
% 54.38/15.82  											+-Applying beta-rule and splitting (70), into two cases.
% 54.38/15.82  											|-Branch one:
% 54.38/15.82  											| (71)  ~ (all_0_16_16 = 0)
% 54.38/15.82  											|
% 54.38/15.82  												| Equations (42) can reduce 71 to:
% 54.38/15.82  												| (59) $false
% 54.38/15.82  												|
% 54.38/15.82  												|-The branch is then unsatisfiable
% 54.38/15.82  											|-Branch two:
% 54.38/15.82  											| (42) all_0_16_16 = 0
% 54.38/15.82  											| (74) all_0_14_14 = 0
% 54.38/15.82  											|
% 54.38/15.82  												| Equations (74) can reduce 67 to:
% 54.38/15.82  												| (59) $false
% 54.38/15.82  												|
% 54.38/15.82  												|-The branch is then unsatisfiable
% 54.38/15.82  										|-Branch two:
% 54.38/15.82  										| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 54.38/15.82  										|
% 54.38/15.82  											| Applying alpha-rule on (76) yields:
% 54.38/15.82  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.38/15.82  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.38/15.82  											|
% 54.38/15.82  											+-Applying beta-rule and splitting (6100), into two cases.
% 54.38/15.82  											|-Branch one:
% 54.38/15.82  											| (120) all_0_8_8 = 0
% 54.38/15.82  											|
% 54.38/15.82  												| Equations (120) can reduce 55 to:
% 54.38/15.82  												| (59) $false
% 54.38/15.82  												|
% 54.38/15.82  												|-The branch is then unsatisfiable
% 54.38/15.82  											|-Branch two:
% 54.38/15.82  											| (55)  ~ (all_0_8_8 = 0)
% 54.38/15.82  											| (6118) all_76_0_3068 = 0 & p(all_76_1_3069) = 0
% 54.38/15.82  											|
% 54.38/15.82  												| Applying alpha-rule on (6118) yields:
% 54.38/15.82  												| (6119) all_76_0_3068 = 0
% 54.38/15.82  												| (6120) p(all_76_1_3069) = 0
% 54.38/15.82  												|
% 54.38/15.82  												| Instantiating formula (78) with all_76_1_3069 and discharging atoms p(all_76_1_3069) = 0, yields:
% 54.38/15.82  												| (79) $false
% 54.38/15.82  												|
% 54.38/15.82  												|-The branch is then unsatisfiable
% 54.38/15.82  									|-Branch two:
% 54.38/15.82  									| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 54.38/15.82  									|
% 54.38/15.82  										| Applying alpha-rule on (60) yields:
% 54.38/15.82  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.38/15.82  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 54.38/15.82  										|
% 54.38/15.82  										| Instantiating formula (62) with all_0_11_11 and discharging atoms s(all_0_11_11) = 0, yields:
% 54.38/15.82  										| (79) $false
% 54.38/15.82  										|
% 54.38/15.82  										|-The branch is then unsatisfiable
% 54.38/15.82  								|-Branch two:
% 54.38/15.82  								| (83)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))
% 54.38/15.82  								|
% 54.38/15.82  									| Applying alpha-rule on (83) yields:
% 54.38/15.82  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 54.38/15.82  									| (85) (all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0))
% 54.38/15.82  									|
% 54.38/15.82  									+-Applying beta-rule and splitting (44), into two cases.
% 54.38/15.82  									|-Branch one:
% 54.38/15.82  									| (53) all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_7_7) = 0 & p(all_0_9_9) = all_0_8_8
% 54.38/15.82  									|
% 54.38/15.82  										| Applying alpha-rule on (53) yields:
% 54.38/15.82  										| (54) all_0_6_6 = 0
% 54.38/15.82  										| (55)  ~ (all_0_8_8 = 0)
% 54.38/15.82  										| (56) s(all_0_7_7) = 0
% 54.38/15.82  										| (57) p(all_0_9_9) = all_0_8_8
% 54.38/15.82  										|
% 54.38/15.82  										| Instantiating formula (84) with 0, all_0_7_7 and discharging atoms s(all_0_7_7) = 0, yields:
% 54.38/15.82  										| (278)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & s(v0) = v1)
% 54.38/15.82  										|
% 54.38/15.82  										| Instantiating (278) with all_69_0_3074, all_69_1_3075 yields:
% 54.38/15.82  										| (6135)  ~ (all_69_0_3074 = 0) & s(all_69_1_3075) = all_69_0_3074
% 54.38/15.82  										|
% 54.38/15.82  										| Applying alpha-rule on (6135) yields:
% 54.38/15.82  										| (6136)  ~ (all_69_0_3074 = 0)
% 54.38/15.82  										| (6137) s(all_69_1_3075) = all_69_0_3074
% 54.38/15.82  										|
% 54.38/15.82  										| Instantiating formula (220) with all_69_0_3074, all_69_1_3075 and discharging atoms s(all_69_1_3075) = all_69_0_3074, yields:
% 54.38/15.82  										| (6138) all_69_0_3074 = 0
% 54.38/15.82  										|
% 54.38/15.82  										| Equations (6138) can reduce 6136 to:
% 54.38/15.82  										| (59) $false
% 54.38/15.82  										|
% 54.38/15.82  										|-The branch is then unsatisfiable
% 54.38/15.82  									|-Branch two:
% 54.38/15.82  									| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 54.38/15.82  									|
% 54.38/15.82  										| Applying alpha-rule on (60) yields:
% 54.38/15.82  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.38/15.82  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 54.38/15.82  										|
% 54.38/15.82  										+-Applying beta-rule and splitting (85), into two cases.
% 54.38/15.82  										|-Branch one:
% 54.38/15.82  										| (103) all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.38/15.82  										|
% 54.38/15.82  											| Applying alpha-rule on (103) yields:
% 54.38/15.82  											| (74) all_0_14_14 = 0
% 54.38/15.82  											| (105) p(all_0_15_15) = 0
% 54.38/15.82  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.38/15.82  											|
% 54.38/15.82  											| Instantiating formula (5867) with 0, all_0_15_15 and discharging atoms p(all_0_15_15) = 0, yields:
% 54.38/15.82  											| (5930)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & p(v0) = v1)
% 54.38/15.82  											|
% 54.38/15.82  											| Instantiating (5930) with all_73_0_3076, all_73_1_3077 yields:
% 54.38/15.82  											| (6148)  ~ (all_73_0_3076 = 0) & p(all_73_1_3077) = all_73_0_3076
% 54.38/15.82  											|
% 54.38/15.82  											| Applying alpha-rule on (6148) yields:
% 54.38/15.82  											| (6149)  ~ (all_73_0_3076 = 0)
% 54.38/15.82  											| (6150) p(all_73_1_3077) = all_73_0_3076
% 54.38/15.82  											|
% 54.38/15.82  											| Instantiating formula (61) with all_73_0_3076, all_73_1_3077 and discharging atoms p(all_73_1_3077) = all_73_0_3076, yields:
% 54.38/15.82  											| (6151) all_73_0_3076 = 0
% 54.38/15.82  											|
% 54.38/15.82  											| Equations (6151) can reduce 6149 to:
% 54.38/15.82  											| (59) $false
% 54.38/15.82  											|
% 54.38/15.82  											|-The branch is then unsatisfiable
% 54.38/15.82  										|-Branch two:
% 54.38/15.82  										| (109)  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)
% 54.38/15.82  										|
% 54.38/15.82  											| Applying alpha-rule on (109) yields:
% 54.38/15.82  											| (67)  ~ (all_0_14_14 = 0)
% 54.38/15.82  											| (68) q(all_0_15_15) = all_0_14_14
% 54.38/15.82  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.38/15.82  											|
% 54.38/15.82  											| Instantiating formula (24) with all_0_14_14, all_0_15_15 and discharging atoms q(all_0_15_15) = all_0_14_14, yields:
% 54.38/15.82  											| (70)  ~ (all_0_16_16 = 0) | all_0_14_14 = 0
% 54.38/15.82  											|
% 54.38/15.82  											+-Applying beta-rule and splitting (70), into two cases.
% 54.38/15.82  											|-Branch one:
% 54.38/15.82  											| (71)  ~ (all_0_16_16 = 0)
% 54.38/15.82  											|
% 54.38/15.82  												| Equations (42) can reduce 71 to:
% 54.38/15.82  												| (59) $false
% 54.38/15.82  												|
% 54.38/15.82  												|-The branch is then unsatisfiable
% 54.38/15.82  											|-Branch two:
% 54.38/15.82  											| (42) all_0_16_16 = 0
% 54.38/15.82  											| (74) all_0_14_14 = 0
% 54.38/15.82  											|
% 54.38/15.82  												| Equations (74) can reduce 67 to:
% 54.38/15.82  												| (59) $false
% 54.38/15.82  												|
% 54.38/15.82  												|-The branch is then unsatisfiable
% 54.38/15.82  							|-Branch two:
% 54.38/15.82  							| (126) ((all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))
% 54.38/15.83  							|
% 54.38/15.83  								| Applying alpha-rule on (126) yields:
% 54.38/15.83  								| (127) (all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))
% 54.38/15.83  								| (128) (s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))
% 54.38/15.83  								|
% 54.38/15.83  								+-Applying beta-rule and splitting (128), into two cases.
% 54.38/15.83  								|-Branch one:
% 54.38/15.83  								| (129) s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))
% 54.38/15.83  								|
% 54.38/15.83  									| Applying alpha-rule on (129) yields:
% 54.38/15.83  									| (130) s(all_0_13_13) = all_0_12_12
% 54.38/15.83  									| (131)  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 54.38/15.83  									| (132)  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0))
% 54.38/15.83  									| (85) (all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0))
% 54.38/15.83  									|
% 54.38/15.83  									| Instantiating formula (220) with all_0_12_12, all_0_13_13 and discharging atoms s(all_0_13_13) = all_0_12_12, yields:
% 54.38/15.83  									| (66) all_0_12_12 = 0
% 54.38/15.83  									|
% 54.38/15.83  									| From (66) and (130) follows:
% 54.38/15.83  									| (310) s(all_0_13_13) = 0
% 54.38/15.83  									|
% 54.38/15.83  									+-Applying beta-rule and splitting (127), into two cases.
% 54.38/15.83  									|-Branch one:
% 54.38/15.83  									| (136) all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.38/15.83  									|
% 54.38/15.83  										| Applying alpha-rule on (136) yields:
% 54.38/15.83  										| (58) all_0_10_10 = 0
% 54.38/15.83  										| (138) s(all_0_11_11) = 0
% 54.38/15.83  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.38/15.83  										|
% 54.38/15.83  										+-Applying beta-rule and splitting (85), into two cases.
% 54.38/15.83  										|-Branch one:
% 54.38/15.83  										| (103) all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.38/15.83  										|
% 54.38/15.83  											| Applying alpha-rule on (103) yields:
% 54.38/15.83  											| (74) all_0_14_14 = 0
% 54.38/15.83  											| (105) p(all_0_15_15) = 0
% 54.38/15.83  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.38/15.83  											|
% 54.38/15.83  											| Instantiating formula (5867) with 0, all_0_15_15 and discharging atoms p(all_0_15_15) = 0, yields:
% 54.38/15.83  											| (5930)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & p(v0) = v1)
% 54.38/15.83  											|
% 54.38/15.83  											| Instantiating (5930) with all_85_0_3078, all_85_1_3079 yields:
% 54.38/15.83  											| (6182)  ~ (all_85_0_3078 = 0) & p(all_85_1_3079) = all_85_0_3078
% 54.38/15.83  											|
% 54.38/15.83  											| Applying alpha-rule on (6182) yields:
% 54.38/15.83  											| (6183)  ~ (all_85_0_3078 = 0)
% 54.38/15.83  											| (6184) p(all_85_1_3079) = all_85_0_3078
% 54.38/15.83  											|
% 54.38/15.83  											| Instantiating formula (61) with all_85_0_3078, all_85_1_3079 and discharging atoms p(all_85_1_3079) = all_85_0_3078, yields:
% 54.38/15.83  											| (6185) all_85_0_3078 = 0
% 54.38/15.83  											|
% 54.38/15.83  											| Equations (6185) can reduce 6183 to:
% 54.38/15.83  											| (59) $false
% 54.38/15.83  											|
% 54.38/15.83  											|-The branch is then unsatisfiable
% 54.38/15.83  										|-Branch two:
% 54.38/15.83  										| (109)  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)
% 54.38/15.83  										|
% 54.38/15.83  											| Applying alpha-rule on (109) yields:
% 54.38/15.83  											| (67)  ~ (all_0_14_14 = 0)
% 54.38/15.83  											| (68) q(all_0_15_15) = all_0_14_14
% 54.38/15.83  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.38/15.83  											|
% 54.38/15.83  											| Instantiating formula (24) with all_0_14_14, all_0_15_15 and discharging atoms q(all_0_15_15) = all_0_14_14, yields:
% 54.38/15.83  											| (70)  ~ (all_0_16_16 = 0) | all_0_14_14 = 0
% 54.38/15.83  											|
% 54.38/15.83  											+-Applying beta-rule and splitting (70), into two cases.
% 54.38/15.83  											|-Branch one:
% 54.38/15.83  											| (71)  ~ (all_0_16_16 = 0)
% 54.38/15.83  											|
% 54.38/15.83  												| Equations (42) can reduce 71 to:
% 54.38/15.83  												| (59) $false
% 54.38/15.83  												|
% 54.38/15.83  												|-The branch is then unsatisfiable
% 54.38/15.83  											|-Branch two:
% 54.38/15.83  											| (42) all_0_16_16 = 0
% 54.38/15.83  											| (74) all_0_14_14 = 0
% 54.38/15.83  											|
% 54.38/15.83  												| Equations (74) can reduce 67 to:
% 54.38/15.83  												| (59) $false
% 54.38/15.83  												|
% 54.38/15.83  												|-The branch is then unsatisfiable
% 54.38/15.83  									|-Branch two:
% 54.38/15.83  									| (142)  ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0)
% 54.38/15.83  									|
% 54.38/15.83  										| Applying alpha-rule on (142) yields:
% 54.38/15.83  										| (52)  ~ (all_0_10_10 = 0)
% 54.38/15.83  										| (144) p(all_0_11_11) = all_0_10_10
% 54.38/15.83  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 54.38/15.83  										|
% 54.38/15.83  										| Instantiating formula (62) with all_0_13_13 and discharging atoms s(all_0_13_13) = 0, yields:
% 54.38/15.83  										| (79) $false
% 54.38/15.83  										|
% 54.38/15.83  										|-The branch is then unsatisfiable
% 54.38/15.83  								|-Branch two:
% 54.38/15.83  								| (170)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 54.38/15.83  								|
% 54.38/15.83  									| Applying alpha-rule on (170) yields:
% 54.38/15.83  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 54.38/15.83  									| (50) (all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 54.38/15.83  									|
% 54.38/15.83  									+-Applying beta-rule and splitting (127), into two cases.
% 54.38/15.83  									|-Branch one:
% 54.38/15.83  									| (136) all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.38/15.83  									|
% 54.38/15.83  										| Applying alpha-rule on (136) yields:
% 54.38/15.83  										| (58) all_0_10_10 = 0
% 54.38/15.83  										| (138) s(all_0_11_11) = 0
% 54.38/15.83  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.38/15.83  										|
% 54.38/15.83  										| Instantiating formula (84) with 0, all_0_11_11 and discharging atoms s(all_0_11_11) = 0, yields:
% 54.38/15.83  										| (278)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & s(v0) = v1)
% 54.38/15.83  										|
% 54.38/15.83  										| Instantiating (278) with all_69_0_3080, all_69_1_3081 yields:
% 54.38/15.83  										| (6210)  ~ (all_69_0_3080 = 0) & s(all_69_1_3081) = all_69_0_3080
% 54.38/15.83  										|
% 54.38/15.83  										| Applying alpha-rule on (6210) yields:
% 54.38/15.83  										| (6211)  ~ (all_69_0_3080 = 0)
% 54.38/15.83  										| (6212) s(all_69_1_3081) = all_69_0_3080
% 54.38/15.83  										|
% 54.38/15.83  										| Instantiating formula (220) with all_69_0_3080, all_69_1_3081 and discharging atoms s(all_69_1_3081) = all_69_0_3080, yields:
% 54.38/15.83  										| (6213) all_69_0_3080 = 0
% 54.38/15.83  										|
% 54.38/15.83  										| Equations (6213) can reduce 6211 to:
% 54.38/15.83  										| (59) $false
% 54.38/15.83  										|
% 54.38/15.83  										|-The branch is then unsatisfiable
% 54.38/15.83  									|-Branch two:
% 54.38/15.83  									| (142)  ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0)
% 54.38/15.83  									|
% 54.38/15.83  										| Applying alpha-rule on (142) yields:
% 54.38/15.83  										| (52)  ~ (all_0_10_10 = 0)
% 54.38/15.83  										| (144) p(all_0_11_11) = all_0_10_10
% 54.38/15.83  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 54.38/15.83  										|
% 54.38/15.83  										| Instantiating formula (5867) with all_0_10_10, all_0_11_11 and discharging atoms p(all_0_11_11) = all_0_10_10, yields:
% 54.38/15.83  										| (6009)  ? [v0] :  ? [v1] : (( ~ (all_0_10_10 = 0) | ( ~ (v1 = 0) & p(v0) = v1)) & (all_0_10_10 = 0 | (v1 = 0 & p(v0) = 0)))
% 54.38/15.83  										|
% 54.38/15.83  										| Instantiating (6009) with all_69_0_3082, all_69_1_3083 yields:
% 54.38/15.83  										| (6220) ( ~ (all_0_10_10 = 0) | ( ~ (all_69_0_3082 = 0) & p(all_69_1_3083) = all_69_0_3082)) & (all_0_10_10 = 0 | (all_69_0_3082 = 0 & p(all_69_1_3083) = 0))
% 54.38/15.83  										|
% 54.38/15.83  										| Applying alpha-rule on (6220) yields:
% 54.38/15.83  										| (6221)  ~ (all_0_10_10 = 0) | ( ~ (all_69_0_3082 = 0) & p(all_69_1_3083) = all_69_0_3082)
% 54.38/15.83  										| (6222) all_0_10_10 = 0 | (all_69_0_3082 = 0 & p(all_69_1_3083) = 0)
% 54.38/15.83  										|
% 54.38/15.83  										+-Applying beta-rule and splitting (50), into two cases.
% 54.38/15.83  										|-Branch one:
% 54.38/15.83  										| (65) all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0
% 54.38/15.83  										|
% 54.38/15.83  											| Applying alpha-rule on (65) yields:
% 54.38/15.83  											| (66) all_0_12_12 = 0
% 54.38/15.83  											| (67)  ~ (all_0_14_14 = 0)
% 54.38/15.83  											| (68) q(all_0_15_15) = all_0_14_14
% 54.38/15.83  											| (69) p(all_0_13_13) = 0
% 54.38/15.83  											|
% 54.38/15.83  											| Instantiating formula (24) with all_0_14_14, all_0_15_15 and discharging atoms q(all_0_15_15) = all_0_14_14, yields:
% 54.38/15.83  											| (70)  ~ (all_0_16_16 = 0) | all_0_14_14 = 0
% 54.38/15.83  											|
% 54.38/15.83  											+-Applying beta-rule and splitting (70), into two cases.
% 54.38/15.83  											|-Branch one:
% 54.38/15.83  											| (71)  ~ (all_0_16_16 = 0)
% 54.38/15.83  											|
% 54.38/15.83  												| Equations (42) can reduce 71 to:
% 54.38/15.83  												| (59) $false
% 54.38/15.83  												|
% 54.38/15.83  												|-The branch is then unsatisfiable
% 54.38/15.83  											|-Branch two:
% 54.38/15.83  											| (42) all_0_16_16 = 0
% 54.38/15.83  											| (74) all_0_14_14 = 0
% 54.38/15.83  											|
% 54.38/15.83  												| Equations (74) can reduce 67 to:
% 54.38/15.83  												| (59) $false
% 54.38/15.83  												|
% 54.38/15.83  												|-The branch is then unsatisfiable
% 54.38/15.83  										|-Branch two:
% 54.38/15.83  										| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 54.38/15.83  										|
% 54.38/15.83  											| Applying alpha-rule on (76) yields:
% 54.38/15.83  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.38/15.83  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.38/15.83  											|
% 54.38/15.83  											+-Applying beta-rule and splitting (6222), into two cases.
% 54.38/15.83  											|-Branch one:
% 54.38/15.83  											| (58) all_0_10_10 = 0
% 54.38/15.83  											|
% 54.38/15.83  												| Equations (58) can reduce 52 to:
% 54.38/15.83  												| (59) $false
% 54.38/15.83  												|
% 54.38/15.83  												|-The branch is then unsatisfiable
% 54.38/15.83  											|-Branch two:
% 54.38/15.83  											| (52)  ~ (all_0_10_10 = 0)
% 54.38/15.83  											| (6240) all_69_0_3082 = 0 & p(all_69_1_3083) = 0
% 54.38/15.83  											|
% 54.38/15.83  												| Applying alpha-rule on (6240) yields:
% 54.38/15.83  												| (6241) all_69_0_3082 = 0
% 54.38/15.83  												| (6242) p(all_69_1_3083) = 0
% 54.38/15.83  												|
% 54.38/15.83  												| Instantiating formula (78) with all_69_1_3083 and discharging atoms p(all_69_1_3083) = 0, yields:
% 54.38/15.83  												| (79) $false
% 54.38/15.83  												|
% 54.38/15.83  												|-The branch is then unsatisfiable
% 54.38/15.83  						|-Branch two:
% 54.38/15.83  						| (2985)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] :  ~ (q(v0) = 0)
% 54.38/15.83  						|
% 54.38/15.83  							| Applying alpha-rule on (2985) yields:
% 54.38/15.83  							| (41)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 54.38/15.83  							| (212)  ! [v0] :  ~ (q(v0) = 0)
% 54.38/15.83  							|
% 54.38/15.83  							| Instantiating formula (41) with all_0_4_4, all_0_5_5 and discharging atoms r(all_0_5_5) = all_0_4_4, yields:
% 54.38/15.83  							| (37) all_0_4_4 = 0
% 54.38/15.83  							|
% 54.38/15.83  							| From (37) and (28) follows:
% 54.38/15.83  							| (227) r(all_0_5_5) = 0
% 54.38/15.83  							|
% 54.38/15.83  							| Instantiating formula (221) with all_0_5_5 and discharging atoms r(all_0_5_5) = 0, yields:
% 54.38/15.83  							| (79) $false
% 54.38/15.83  							|
% 54.38/15.83  							|-The branch is then unsatisfiable
% 54.38/15.83  				|-Branch two:
% 54.38/15.83  				| (369)  ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_8_8 = 0 & s(all_0_9_9) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_8_8 = 0) & p(all_0_9_9) = all_0_8_8 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (s(v0) = 0)) & ((all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))
% 54.38/15.84  				|
% 54.38/15.84  					| Applying alpha-rule on (369) yields:
% 54.38/15.84  					| (370)  ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0))))
% 54.38/15.84  					| (371) (((all_0_8_8 = 0 & s(all_0_9_9) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_8_8 = 0) & p(all_0_9_9) = all_0_8_8 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (s(v0) = 0)) & ((all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))
% 54.38/15.84  					|
% 54.38/15.84  					+-Applying beta-rule and splitting (26), into two cases.
% 54.38/15.84  					|-Branch one:
% 54.38/15.84  					| (32) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_21_21) = all_0_20_20 & r(all_0_19_19) = 0
% 54.38/15.84  					|
% 54.38/15.84  						| Applying alpha-rule on (32) yields:
% 54.38/15.84  						| (33) all_0_18_18 = 0
% 54.38/15.84  						| (34)  ~ (all_0_20_20 = 0)
% 54.38/15.84  						| (35) s(all_0_21_21) = all_0_20_20
% 54.38/15.84  						| (36) r(all_0_19_19) = 0
% 54.38/15.84  						|
% 54.38/15.84  						| Instantiating formula (370) with 0, all_0_19_19 and discharging atoms r(all_0_19_19) = 0, yields:
% 54.38/15.84  						| (377)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & r(v0) = v1)
% 54.38/15.84  						|
% 54.38/15.84  						| Instantiating (377) with all_40_0_3086, all_40_1_3087 yields:
% 54.38/15.84  						| (6259)  ~ (all_40_0_3086 = 0) & r(all_40_1_3087) = all_40_0_3086
% 54.38/15.84  						|
% 54.38/15.84  						| Applying alpha-rule on (6259) yields:
% 54.38/15.84  						| (6260)  ~ (all_40_0_3086 = 0)
% 54.38/15.84  						| (6261) r(all_40_1_3087) = all_40_0_3086
% 54.38/15.84  						|
% 54.38/15.84  						+-Applying beta-rule and splitting (5870), into two cases.
% 54.38/15.84  						|-Branch one:
% 54.38/15.84  						| (5891) all_0_0_0 = 0 &  ~ (all_0_2_2 = 0) & r(all_0_3_3) = all_0_2_2 & q(all_0_1_1) = 0
% 54.38/15.84  						|
% 54.38/15.84  							| Applying alpha-rule on (5891) yields:
% 54.38/15.84  							| (63) all_0_0_0 = 0
% 54.38/15.84  							| (210)  ~ (all_0_2_2 = 0)
% 54.38/15.84  							| (211) r(all_0_3_3) = all_0_2_2
% 54.38/15.84  							| (5895) q(all_0_1_1) = 0
% 54.38/15.84  							|
% 54.38/15.84  							| Instantiating formula (25) with all_0_1_1 and discharging atoms q(all_0_1_1) = 0, yields:
% 54.38/15.84  							| (42) all_0_16_16 = 0
% 54.38/15.84  							|
% 54.38/15.84  							+-Applying beta-rule and splitting (371), into two cases.
% 54.38/15.84  							|-Branch one:
% 54.38/15.84  							| (391) ((all_0_8_8 = 0 & s(all_0_9_9) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_8_8 = 0) & p(all_0_9_9) = all_0_8_8 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))))
% 54.38/15.84  							|
% 54.38/15.84  								| Applying alpha-rule on (391) yields:
% 54.38/15.84  								| (392) (all_0_8_8 = 0 & s(all_0_9_9) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_8_8 = 0) & p(all_0_9_9) = all_0_8_8 &  ! [v0] :  ~ (s(v0) = 0))
% 54.38/15.84  								| (45) (s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0))))
% 54.38/15.84  								|
% 54.38/15.84  								+-Applying beta-rule and splitting (392), into two cases.
% 54.38/15.84  								|-Branch one:
% 54.38/15.84  								| (394) all_0_8_8 = 0 & s(all_0_9_9) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.38/15.84  								|
% 54.38/15.84  									| Applying alpha-rule on (394) yields:
% 54.38/15.84  									| (120) all_0_8_8 = 0
% 54.38/15.84  									| (396) s(all_0_9_9) = 0
% 54.38/15.84  									| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.38/15.84  									|
% 54.38/15.84  									+-Applying beta-rule and splitting (45), into two cases.
% 54.38/15.84  									|-Branch one:
% 54.38/15.84  									| (46) s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 54.38/15.84  									|
% 54.38/15.84  										| Applying alpha-rule on (46) yields:
% 54.38/15.84  										| (47) s(all_0_11_11) = all_0_10_10
% 54.38/15.84  										| (48)  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 54.38/15.84  										| (49)  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0))
% 54.38/15.84  										| (50) (all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 54.38/15.84  										|
% 54.38/15.84  										| Instantiating formula (49) with all_0_9_9 and discharging atoms s(all_0_9_9) = 0, yields:
% 54.38/15.84  										| (58) all_0_10_10 = 0
% 54.38/15.84  										|
% 54.38/15.84  										| Instantiating formula (48) with all_0_20_20, all_0_21_21 and discharging atoms s(all_0_21_21) = all_0_20_20, yields:
% 54.38/15.84  										| (51)  ~ (all_0_10_10 = 0) | all_0_20_20 = 0
% 54.38/15.84  										|
% 54.38/15.84  										+-Applying beta-rule and splitting (51), into two cases.
% 54.38/15.84  										|-Branch one:
% 54.38/15.84  										| (52)  ~ (all_0_10_10 = 0)
% 54.38/15.84  										|
% 54.38/15.84  											| Equations (58) can reduce 52 to:
% 54.38/15.84  											| (59) $false
% 54.38/15.84  											|
% 54.38/15.84  											|-The branch is then unsatisfiable
% 54.38/15.84  										|-Branch two:
% 54.38/15.84  										| (58) all_0_10_10 = 0
% 54.38/15.84  										| (81) all_0_20_20 = 0
% 54.38/15.84  										|
% 54.38/15.84  											| Equations (81) can reduce 34 to:
% 54.38/15.84  											| (59) $false
% 54.38/15.84  											|
% 54.38/15.84  											|-The branch is then unsatisfiable
% 54.38/15.84  									|-Branch two:
% 54.38/15.84  									| (83)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))
% 54.38/15.84  									|
% 54.38/15.84  										| Applying alpha-rule on (83) yields:
% 54.38/15.84  										| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 54.38/15.84  										| (85) (all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0))
% 54.38/15.84  										|
% 54.38/15.84  										+-Applying beta-rule and splitting (85), into two cases.
% 54.38/15.84  										|-Branch one:
% 54.38/15.84  										| (103) all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.38/15.84  										|
% 54.38/15.84  											| Applying alpha-rule on (103) yields:
% 54.38/15.84  											| (74) all_0_14_14 = 0
% 54.38/15.84  											| (105) p(all_0_15_15) = 0
% 54.38/15.84  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.38/15.84  											|
% 54.38/15.84  											| Instantiating formula (5867) with 0, all_0_15_15 and discharging atoms p(all_0_15_15) = 0, yields:
% 54.38/15.84  											| (5930)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & p(v0) = v1)
% 54.38/15.84  											|
% 54.38/15.84  											| Instantiating (5930) with all_399_0_3202, all_399_1_3203 yields:
% 54.38/15.84  											| (6295)  ~ (all_399_0_3202 = 0) & p(all_399_1_3203) = all_399_0_3202
% 54.38/15.84  											|
% 54.38/15.84  											| Applying alpha-rule on (6295) yields:
% 54.38/15.84  											| (6296)  ~ (all_399_0_3202 = 0)
% 54.38/15.84  											| (6297) p(all_399_1_3203) = all_399_0_3202
% 54.38/15.84  											|
% 54.38/15.84  											| Instantiating formula (61) with all_399_0_3202, all_399_1_3203 and discharging atoms p(all_399_1_3203) = all_399_0_3202, yields:
% 54.38/15.84  											| (6298) all_399_0_3202 = 0
% 54.38/15.84  											|
% 54.38/15.84  											| Equations (6298) can reduce 6296 to:
% 54.38/15.84  											| (59) $false
% 54.38/15.84  											|
% 54.38/15.84  											|-The branch is then unsatisfiable
% 54.38/15.84  										|-Branch two:
% 54.38/15.84  										| (109)  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)
% 54.38/15.84  										|
% 54.38/15.84  											| Applying alpha-rule on (109) yields:
% 54.38/15.84  											| (67)  ~ (all_0_14_14 = 0)
% 54.38/15.84  											| (68) q(all_0_15_15) = all_0_14_14
% 54.38/15.84  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.38/15.84  											|
% 54.38/15.84  											| Instantiating formula (24) with all_0_14_14, all_0_15_15 and discharging atoms q(all_0_15_15) = all_0_14_14, yields:
% 54.38/15.84  											| (70)  ~ (all_0_16_16 = 0) | all_0_14_14 = 0
% 54.38/15.84  											|
% 54.38/15.84  											+-Applying beta-rule and splitting (70), into two cases.
% 54.38/15.84  											|-Branch one:
% 54.38/15.84  											| (71)  ~ (all_0_16_16 = 0)
% 54.38/15.84  											|
% 54.38/15.84  												| Equations (42) can reduce 71 to:
% 54.38/15.84  												| (59) $false
% 54.38/15.84  												|
% 54.38/15.84  												|-The branch is then unsatisfiable
% 54.38/15.84  											|-Branch two:
% 54.38/15.84  											| (42) all_0_16_16 = 0
% 54.38/15.84  											| (74) all_0_14_14 = 0
% 54.38/15.84  											|
% 54.38/15.84  												| Equations (74) can reduce 67 to:
% 54.38/15.84  												| (59) $false
% 54.38/15.84  												|
% 54.38/15.84  												|-The branch is then unsatisfiable
% 54.38/15.84  								|-Branch two:
% 54.38/15.84  								| (427)  ~ (all_0_8_8 = 0) & p(all_0_9_9) = all_0_8_8 &  ! [v0] :  ~ (s(v0) = 0)
% 54.38/15.84  								|
% 54.38/15.84  									| Applying alpha-rule on (427) yields:
% 54.38/15.84  									| (55)  ~ (all_0_8_8 = 0)
% 54.38/15.84  									| (57) p(all_0_9_9) = all_0_8_8
% 54.38/15.84  									| (62)  ! [v0] :  ~ (s(v0) = 0)
% 54.38/15.84  									|
% 54.38/15.84  									+-Applying beta-rule and splitting (45), into two cases.
% 54.38/15.84  									|-Branch one:
% 54.38/15.84  									| (46) s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 54.38/15.84  									|
% 54.38/15.84  										| Applying alpha-rule on (46) yields:
% 54.38/15.84  										| (47) s(all_0_11_11) = all_0_10_10
% 54.38/15.84  										| (48)  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 54.38/15.84  										| (49)  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0))
% 54.38/15.84  										| (50) (all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 54.38/15.84  										|
% 54.38/15.84  										| Instantiating formula (5867) with all_0_8_8, all_0_9_9 and discharging atoms p(all_0_9_9) = all_0_8_8, yields:
% 54.38/15.84  										| (5963)  ? [v0] :  ? [v1] : (( ~ (all_0_8_8 = 0) | ( ~ (v1 = 0) & p(v0) = v1)) & (all_0_8_8 = 0 | (v1 = 0 & p(v0) = 0)))
% 54.38/15.84  										|
% 54.38/15.84  										| Instantiating (5963) with all_286_0_3216, all_286_1_3217 yields:
% 54.38/15.84  										| (6320) ( ~ (all_0_8_8 = 0) | ( ~ (all_286_0_3216 = 0) & p(all_286_1_3217) = all_286_0_3216)) & (all_0_8_8 = 0 | (all_286_0_3216 = 0 & p(all_286_1_3217) = 0))
% 54.38/15.84  										|
% 54.38/15.84  										| Applying alpha-rule on (6320) yields:
% 54.38/15.84  										| (6321)  ~ (all_0_8_8 = 0) | ( ~ (all_286_0_3216 = 0) & p(all_286_1_3217) = all_286_0_3216)
% 54.38/15.84  										| (6322) all_0_8_8 = 0 | (all_286_0_3216 = 0 & p(all_286_1_3217) = 0)
% 54.38/15.84  										|
% 54.38/15.84  										+-Applying beta-rule and splitting (6322), into two cases.
% 54.38/15.84  										|-Branch one:
% 54.38/15.84  										| (120) all_0_8_8 = 0
% 54.38/15.84  										|
% 54.38/15.84  											| Equations (120) can reduce 55 to:
% 54.38/15.84  											| (59) $false
% 54.38/15.84  											|
% 54.38/15.84  											|-The branch is then unsatisfiable
% 54.38/15.84  										|-Branch two:
% 54.38/15.84  										| (55)  ~ (all_0_8_8 = 0)
% 54.38/15.84  										| (6326) all_286_0_3216 = 0 & p(all_286_1_3217) = 0
% 54.38/15.84  										|
% 54.38/15.84  											| Applying alpha-rule on (6326) yields:
% 54.38/15.85  											| (6327) all_286_0_3216 = 0
% 54.38/15.85  											| (6328) p(all_286_1_3217) = 0
% 54.38/15.85  											|
% 54.38/15.85  											+-Applying beta-rule and splitting (50), into two cases.
% 54.38/15.85  											|-Branch one:
% 54.38/15.85  											| (65) all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0
% 54.38/15.85  											|
% 54.38/15.85  												| Applying alpha-rule on (65) yields:
% 54.38/15.85  												| (66) all_0_12_12 = 0
% 54.38/15.85  												| (67)  ~ (all_0_14_14 = 0)
% 54.38/15.85  												| (68) q(all_0_15_15) = all_0_14_14
% 54.38/15.85  												| (69) p(all_0_13_13) = 0
% 54.38/15.85  												|
% 54.38/15.85  												| Instantiating formula (24) with all_0_14_14, all_0_15_15 and discharging atoms q(all_0_15_15) = all_0_14_14, yields:
% 54.38/15.85  												| (70)  ~ (all_0_16_16 = 0) | all_0_14_14 = 0
% 54.38/15.85  												|
% 54.38/15.85  												+-Applying beta-rule and splitting (70), into two cases.
% 54.38/15.85  												|-Branch one:
% 54.38/15.85  												| (71)  ~ (all_0_16_16 = 0)
% 54.38/15.85  												|
% 54.38/15.85  													| Equations (42) can reduce 71 to:
% 54.38/15.85  													| (59) $false
% 54.38/15.85  													|
% 54.38/15.85  													|-The branch is then unsatisfiable
% 54.38/15.85  												|-Branch two:
% 54.38/15.85  												| (42) all_0_16_16 = 0
% 54.38/15.85  												| (74) all_0_14_14 = 0
% 54.38/15.85  												|
% 54.38/15.85  													| Equations (74) can reduce 67 to:
% 54.38/15.85  													| (59) $false
% 54.38/15.85  													|
% 54.38/15.85  													|-The branch is then unsatisfiable
% 54.38/15.85  											|-Branch two:
% 54.38/15.85  											| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 54.38/15.85  											|
% 54.38/15.85  												| Applying alpha-rule on (76) yields:
% 54.38/15.85  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.38/15.85  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.38/15.85  												|
% 54.38/15.85  												| Instantiating formula (78) with all_286_1_3217 and discharging atoms p(all_286_1_3217) = 0, yields:
% 54.38/15.85  												| (79) $false
% 54.38/15.85  												|
% 54.38/15.85  												|-The branch is then unsatisfiable
% 54.38/15.85  									|-Branch two:
% 54.38/15.85  									| (83)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))
% 54.38/15.85  									|
% 54.38/15.85  										| Applying alpha-rule on (83) yields:
% 54.38/15.85  										| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 54.38/15.85  										| (85) (all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0))
% 54.38/15.85  										|
% 54.38/15.85  										| Instantiating formula (84) with all_0_20_20, all_0_21_21 and discharging atoms s(all_0_21_21) = all_0_20_20, yields:
% 54.38/15.85  										| (86)  ? [v0] :  ? [v1] : (( ~ (all_0_20_20 = 0) | ( ~ (v1 = 0) & s(v0) = v1)) & (all_0_20_20 = 0 | (v1 = 0 & s(v0) = 0)))
% 54.38/15.85  										|
% 54.38/15.85  										| Instantiating (86) with all_276_0_3264, all_276_1_3265 yields:
% 54.38/15.85  										| (6348) ( ~ (all_0_20_20 = 0) | ( ~ (all_276_0_3264 = 0) & s(all_276_1_3265) = all_276_0_3264)) & (all_0_20_20 = 0 | (all_276_0_3264 = 0 & s(all_276_1_3265) = 0))
% 54.38/15.85  										|
% 54.38/15.85  										| Applying alpha-rule on (6348) yields:
% 54.38/15.85  										| (6349)  ~ (all_0_20_20 = 0) | ( ~ (all_276_0_3264 = 0) & s(all_276_1_3265) = all_276_0_3264)
% 54.38/15.85  										| (6350) all_0_20_20 = 0 | (all_276_0_3264 = 0 & s(all_276_1_3265) = 0)
% 54.38/15.85  										|
% 54.38/15.85  										+-Applying beta-rule and splitting (6350), into two cases.
% 54.38/15.85  										|-Branch one:
% 54.38/15.85  										| (81) all_0_20_20 = 0
% 54.38/15.85  										|
% 54.38/15.85  											| Equations (81) can reduce 34 to:
% 54.38/15.85  											| (59) $false
% 54.38/15.85  											|
% 54.38/15.85  											|-The branch is then unsatisfiable
% 54.38/15.85  										|-Branch two:
% 54.38/15.85  										| (34)  ~ (all_0_20_20 = 0)
% 54.38/15.85  										| (6354) all_276_0_3264 = 0 & s(all_276_1_3265) = 0
% 54.38/15.85  										|
% 54.38/15.85  											| Applying alpha-rule on (6354) yields:
% 54.38/15.85  											| (6355) all_276_0_3264 = 0
% 54.38/15.85  											| (6356) s(all_276_1_3265) = 0
% 54.38/15.85  											|
% 54.38/15.85  											| Instantiating formula (62) with all_276_1_3265 and discharging atoms s(all_276_1_3265) = 0, yields:
% 54.38/15.85  											| (79) $false
% 54.38/15.85  											|
% 54.38/15.85  											|-The branch is then unsatisfiable
% 54.38/15.85  							|-Branch two:
% 54.38/15.85  							| (468) ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (s(v0) = 0)) & ((all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))
% 54.38/15.85  							|
% 54.38/15.85  								| Applying alpha-rule on (468) yields:
% 54.38/15.85  								| (469) (all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))
% 54.38/15.85  								| (470) (s(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (s(v0) = 0)) & ((all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))
% 54.38/15.85  								|
% 54.38/15.85  								+-Applying beta-rule and splitting (469), into two cases.
% 54.38/15.85  								|-Branch one:
% 54.38/15.85  								| (471) all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14
% 54.38/15.85  								|
% 54.38/15.85  									| Applying alpha-rule on (471) yields:
% 54.38/15.85  									| (66) all_0_12_12 = 0
% 54.38/15.85  									| (67)  ~ (all_0_14_14 = 0)
% 54.38/15.85  									| (310) s(all_0_13_13) = 0
% 54.38/15.85  									| (475) p(all_0_15_15) = all_0_14_14
% 54.38/15.85  									|
% 54.38/15.85  									+-Applying beta-rule and splitting (470), into two cases.
% 54.38/15.85  									|-Branch one:
% 54.38/15.85  									| (477) s(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (s(v0) = 0)) & ((all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0)))
% 54.38/15.85  									|
% 54.38/15.85  										| Applying alpha-rule on (477) yields:
% 54.38/15.85  										| (478) s(all_0_9_9) = all_0_8_8
% 54.38/15.85  										| (479)  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 54.38/15.85  										| (480)  ! [v0] : (all_0_8_8 = 0 |  ~ (s(v0) = 0))
% 54.38/15.85  										| (481) (all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0))
% 54.38/15.85  										|
% 54.38/15.85  										| Instantiating formula (480) with all_0_13_13 and discharging atoms s(all_0_13_13) = 0, yields:
% 54.38/15.85  										| (120) all_0_8_8 = 0
% 54.38/15.85  										|
% 54.38/15.85  										| Instantiating formula (479) with all_0_20_20, all_0_21_21 and discharging atoms s(all_0_21_21) = all_0_20_20, yields:
% 54.38/15.85  										| (483)  ~ (all_0_8_8 = 0) | all_0_20_20 = 0
% 54.38/15.85  										|
% 54.38/15.85  										+-Applying beta-rule and splitting (483), into two cases.
% 54.38/15.85  										|-Branch one:
% 54.38/15.85  										| (55)  ~ (all_0_8_8 = 0)
% 54.38/15.85  										|
% 54.38/15.85  											| Equations (120) can reduce 55 to:
% 54.38/15.85  											| (59) $false
% 54.38/15.85  											|
% 54.38/15.85  											|-The branch is then unsatisfiable
% 54.38/15.85  										|-Branch two:
% 54.38/15.85  										| (120) all_0_8_8 = 0
% 54.38/15.85  										| (81) all_0_20_20 = 0
% 54.38/15.85  										|
% 54.38/15.85  											| Equations (81) can reduce 34 to:
% 54.38/15.85  											| (59) $false
% 54.38/15.85  											|
% 54.38/15.85  											|-The branch is then unsatisfiable
% 54.38/15.85  									|-Branch two:
% 54.38/15.85  									| (489)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 54.38/15.85  									|
% 54.38/15.85  										| Applying alpha-rule on (489) yields:
% 54.38/15.85  										| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 54.38/15.85  										| (491) (all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 54.38/15.85  										|
% 54.38/15.85  										| Instantiating formula (5867) with all_0_14_14, all_0_15_15 and discharging atoms p(all_0_15_15) = all_0_14_14, yields:
% 54.38/15.85  										| (6381)  ? [v0] :  ? [v1] : (( ~ (all_0_14_14 = 0) | ( ~ (v1 = 0) & p(v0) = v1)) & (all_0_14_14 = 0 | (v1 = 0 & p(v0) = 0)))
% 54.38/15.85  										|
% 54.38/15.85  										| Instantiating (6381) with all_284_0_3308, all_284_1_3309 yields:
% 54.38/15.85  										| (6382) ( ~ (all_0_14_14 = 0) | ( ~ (all_284_0_3308 = 0) & p(all_284_1_3309) = all_284_0_3308)) & (all_0_14_14 = 0 | (all_284_0_3308 = 0 & p(all_284_1_3309) = 0))
% 54.38/15.85  										|
% 54.38/15.85  										| Applying alpha-rule on (6382) yields:
% 54.38/15.85  										| (6383)  ~ (all_0_14_14 = 0) | ( ~ (all_284_0_3308 = 0) & p(all_284_1_3309) = all_284_0_3308)
% 54.38/15.85  										| (6384) all_0_14_14 = 0 | (all_284_0_3308 = 0 & p(all_284_1_3309) = 0)
% 54.38/15.85  										|
% 54.38/15.85  										+-Applying beta-rule and splitting (6384), into two cases.
% 54.38/15.85  										|-Branch one:
% 54.38/15.85  										| (74) all_0_14_14 = 0
% 54.38/15.85  										|
% 54.38/15.85  											| Equations (74) can reduce 67 to:
% 54.38/15.85  											| (59) $false
% 54.38/15.85  											|
% 54.38/15.85  											|-The branch is then unsatisfiable
% 54.38/15.85  										|-Branch two:
% 54.38/15.85  										| (67)  ~ (all_0_14_14 = 0)
% 54.38/15.85  										| (6388) all_284_0_3308 = 0 & p(all_284_1_3309) = 0
% 54.38/15.85  										|
% 54.38/15.85  											| Applying alpha-rule on (6388) yields:
% 54.38/15.85  											| (6389) all_284_0_3308 = 0
% 54.38/15.85  											| (6390) p(all_284_1_3309) = 0
% 54.38/15.85  											|
% 54.38/15.85  											+-Applying beta-rule and splitting (491), into two cases.
% 54.38/15.85  											|-Branch one:
% 54.38/15.85  											| (493) all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0
% 54.38/15.85  											|
% 54.38/15.85  												| Applying alpha-rule on (493) yields:
% 54.38/15.85  												| (120) all_0_8_8 = 0
% 54.38/15.85  												| (52)  ~ (all_0_10_10 = 0)
% 54.38/15.85  												| (496) q(all_0_11_11) = all_0_10_10
% 54.38/15.85  												| (497) p(all_0_9_9) = 0
% 54.38/15.85  												|
% 54.38/15.85  												| Instantiating formula (24) with all_0_10_10, all_0_11_11 and discharging atoms q(all_0_11_11) = all_0_10_10, yields:
% 54.38/15.85  												| (657)  ~ (all_0_16_16 = 0) | all_0_10_10 = 0
% 54.38/15.85  												|
% 54.38/15.85  												+-Applying beta-rule and splitting (657), into two cases.
% 54.38/15.85  												|-Branch one:
% 54.38/15.85  												| (71)  ~ (all_0_16_16 = 0)
% 54.38/15.85  												|
% 54.38/15.85  													| Equations (42) can reduce 71 to:
% 54.38/15.85  													| (59) $false
% 54.38/15.85  													|
% 54.38/15.85  													|-The branch is then unsatisfiable
% 54.38/15.85  												|-Branch two:
% 54.38/15.85  												| (42) all_0_16_16 = 0
% 54.38/15.85  												| (58) all_0_10_10 = 0
% 54.38/15.85  												|
% 54.38/15.85  													| Equations (58) can reduce 52 to:
% 54.38/15.85  													| (59) $false
% 54.38/15.85  													|
% 54.38/15.85  													|-The branch is then unsatisfiable
% 54.38/15.85  											|-Branch two:
% 54.38/15.85  											| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 54.38/15.85  											|
% 54.38/15.85  												| Applying alpha-rule on (76) yields:
% 54.38/15.85  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.38/15.85  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.38/15.85  												|
% 54.38/15.85  												| Instantiating formula (78) with all_284_1_3309 and discharging atoms p(all_284_1_3309) = 0, yields:
% 54.38/15.85  												| (79) $false
% 54.38/15.85  												|
% 54.38/15.85  												|-The branch is then unsatisfiable
% 54.38/15.85  								|-Branch two:
% 54.38/15.85  								| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 54.38/15.85  								|
% 54.38/15.85  									| Applying alpha-rule on (60) yields:
% 54.38/15.85  									| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.38/15.85  									| (62)  ! [v0] :  ~ (s(v0) = 0)
% 54.38/15.85  									|
% 54.38/15.85  									+-Applying beta-rule and splitting (470), into two cases.
% 54.38/15.85  									|-Branch one:
% 54.38/15.85  									| (477) s(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (s(v0) = 0)) & ((all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0)))
% 54.38/15.85  									|
% 54.38/15.85  										| Applying alpha-rule on (477) yields:
% 54.38/15.85  										| (478) s(all_0_9_9) = all_0_8_8
% 54.38/15.85  										| (479)  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 54.38/15.85  										| (480)  ! [v0] : (all_0_8_8 = 0 |  ~ (s(v0) = 0))
% 54.38/15.85  										| (481) (all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0))
% 54.38/15.85  										|
% 54.38/15.85  										+-Applying beta-rule and splitting (481), into two cases.
% 54.38/15.85  										|-Branch one:
% 54.38/15.85  										| (519) all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.38/15.85  										|
% 54.38/15.85  											| Applying alpha-rule on (519) yields:
% 54.38/15.85  											| (58) all_0_10_10 = 0
% 54.38/15.85  											| (521) p(all_0_11_11) = 0
% 54.38/15.85  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.38/15.85  											|
% 54.38/15.85  											| Instantiating formula (5867) with 0, all_0_11_11 and discharging atoms p(all_0_11_11) = 0, yields:
% 54.38/15.85  											| (5930)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & p(v0) = v1)
% 54.38/15.85  											|
% 54.38/15.85  											| Instantiating (5930) with all_398_0_3402, all_398_1_3403 yields:
% 54.38/15.85  											| (6419)  ~ (all_398_0_3402 = 0) & p(all_398_1_3403) = all_398_0_3402
% 54.38/15.85  											|
% 54.38/15.86  											| Applying alpha-rule on (6419) yields:
% 54.38/15.86  											| (6420)  ~ (all_398_0_3402 = 0)
% 54.38/15.86  											| (6421) p(all_398_1_3403) = all_398_0_3402
% 54.38/15.86  											|
% 54.38/15.86  											| Instantiating formula (61) with all_398_0_3402, all_398_1_3403 and discharging atoms p(all_398_1_3403) = all_398_0_3402, yields:
% 54.38/15.86  											| (6422) all_398_0_3402 = 0
% 54.38/15.86  											|
% 54.38/15.86  											| Equations (6422) can reduce 6420 to:
% 54.38/15.86  											| (59) $false
% 54.38/15.86  											|
% 54.38/15.86  											|-The branch is then unsatisfiable
% 54.38/15.86  										|-Branch two:
% 54.38/15.86  										| (526)  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0)
% 54.38/15.86  										|
% 54.38/15.86  											| Applying alpha-rule on (526) yields:
% 54.38/15.86  											| (52)  ~ (all_0_10_10 = 0)
% 54.38/15.86  											| (496) q(all_0_11_11) = all_0_10_10
% 54.38/15.86  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.38/15.86  											|
% 54.38/15.86  											| Instantiating formula (24) with all_0_10_10, all_0_11_11 and discharging atoms q(all_0_11_11) = all_0_10_10, yields:
% 54.38/15.86  											| (657)  ~ (all_0_16_16 = 0) | all_0_10_10 = 0
% 54.38/15.86  											|
% 54.38/15.86  											+-Applying beta-rule and splitting (657), into two cases.
% 54.38/15.86  											|-Branch one:
% 54.38/15.86  											| (71)  ~ (all_0_16_16 = 0)
% 54.38/15.86  											|
% 54.38/15.86  												| Equations (42) can reduce 71 to:
% 54.38/15.86  												| (59) $false
% 54.38/15.86  												|
% 54.38/15.86  												|-The branch is then unsatisfiable
% 54.38/15.86  											|-Branch two:
% 54.38/15.86  											| (42) all_0_16_16 = 0
% 54.38/15.86  											| (58) all_0_10_10 = 0
% 54.38/15.86  											|
% 54.38/15.86  												| Equations (58) can reduce 52 to:
% 54.38/15.86  												| (59) $false
% 54.38/15.86  												|
% 54.38/15.86  												|-The branch is then unsatisfiable
% 54.38/15.86  									|-Branch two:
% 54.38/15.86  									| (489)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 54.38/15.86  									|
% 54.38/15.86  										| Applying alpha-rule on (489) yields:
% 54.38/15.86  										| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 54.38/15.86  										| (491) (all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 54.38/15.86  										|
% 54.38/15.86  										| Instantiating formula (84) with all_0_20_20, all_0_21_21 and discharging atoms s(all_0_21_21) = all_0_20_20, yields:
% 54.38/15.86  										| (86)  ? [v0] :  ? [v1] : (( ~ (all_0_20_20 = 0) | ( ~ (v1 = 0) & s(v0) = v1)) & (all_0_20_20 = 0 | (v1 = 0 & s(v0) = 0)))
% 54.38/15.86  										|
% 54.38/15.86  										| Instantiating (86) with all_273_0_3412, all_273_1_3413 yields:
% 54.38/15.86  										| (6438) ( ~ (all_0_20_20 = 0) | ( ~ (all_273_0_3412 = 0) & s(all_273_1_3413) = all_273_0_3412)) & (all_0_20_20 = 0 | (all_273_0_3412 = 0 & s(all_273_1_3413) = 0))
% 54.38/15.86  										|
% 54.38/15.86  										| Applying alpha-rule on (6438) yields:
% 54.38/15.86  										| (6439)  ~ (all_0_20_20 = 0) | ( ~ (all_273_0_3412 = 0) & s(all_273_1_3413) = all_273_0_3412)
% 54.38/15.86  										| (6440) all_0_20_20 = 0 | (all_273_0_3412 = 0 & s(all_273_1_3413) = 0)
% 54.38/15.86  										|
% 54.38/15.86  										+-Applying beta-rule and splitting (6440), into two cases.
% 54.38/15.86  										|-Branch one:
% 54.38/15.86  										| (81) all_0_20_20 = 0
% 54.38/15.86  										|
% 54.38/15.86  											| Equations (81) can reduce 34 to:
% 54.38/15.86  											| (59) $false
% 54.38/15.86  											|
% 54.38/15.86  											|-The branch is then unsatisfiable
% 54.38/15.86  										|-Branch two:
% 54.38/15.86  										| (34)  ~ (all_0_20_20 = 0)
% 54.38/15.86  										| (6444) all_273_0_3412 = 0 & s(all_273_1_3413) = 0
% 54.38/15.86  										|
% 54.38/15.86  											| Applying alpha-rule on (6444) yields:
% 54.38/15.86  											| (6445) all_273_0_3412 = 0
% 54.38/15.86  											| (6446) s(all_273_1_3413) = 0
% 54.38/15.86  											|
% 54.38/15.86  											| Instantiating formula (62) with all_273_1_3413 and discharging atoms s(all_273_1_3413) = 0, yields:
% 54.38/15.86  											| (79) $false
% 54.38/15.86  											|
% 54.38/15.86  											|-The branch is then unsatisfiable
% 54.38/15.86  						|-Branch two:
% 54.38/15.86  						| (2985)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] :  ~ (q(v0) = 0)
% 54.38/15.86  						|
% 54.38/15.86  							| Applying alpha-rule on (2985) yields:
% 54.38/15.86  							| (41)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 54.38/15.86  							| (212)  ! [v0] :  ~ (q(v0) = 0)
% 54.38/15.86  							|
% 54.38/15.86  							| Instantiating formula (41) with all_40_0_3086, all_40_1_3087 and discharging atoms r(all_40_1_3087) = all_40_0_3086, yields:
% 54.38/15.86  							| (6451) all_40_0_3086 = 0
% 54.38/15.86  							|
% 54.38/15.86  							| Equations (6451) can reduce 6260 to:
% 54.38/15.86  							| (59) $false
% 54.38/15.86  							|
% 54.38/15.86  							|-The branch is then unsatisfiable
% 54.38/15.86  					|-Branch two:
% 54.38/15.86  					| (219)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)
% 54.38/15.86  					|
% 54.38/15.86  						| Applying alpha-rule on (219) yields:
% 54.38/15.86  						| (220)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))
% 54.38/15.86  						| (221)  ! [v0] :  ~ (r(v0) = 0)
% 54.38/15.86  						|
% 54.38/15.86  						+-Applying beta-rule and splitting (5870), into two cases.
% 54.38/15.86  						|-Branch one:
% 54.38/15.86  						| (5891) all_0_0_0 = 0 &  ~ (all_0_2_2 = 0) & r(all_0_3_3) = all_0_2_2 & q(all_0_1_1) = 0
% 54.38/15.86  						|
% 54.38/15.86  							| Applying alpha-rule on (5891) yields:
% 54.38/15.86  							| (63) all_0_0_0 = 0
% 54.38/15.86  							| (210)  ~ (all_0_2_2 = 0)
% 54.38/15.86  							| (211) r(all_0_3_3) = all_0_2_2
% 54.38/15.86  							| (5895) q(all_0_1_1) = 0
% 54.38/15.86  							|
% 54.38/15.86  							| Instantiating formula (370) with all_0_2_2, all_0_3_3 and discharging atoms r(all_0_3_3) = all_0_2_2, yields:
% 54.38/15.86  							| (705)  ? [v0] :  ? [v1] : (( ~ (all_0_2_2 = 0) | ( ~ (v1 = 0) & r(v0) = v1)) & (all_0_2_2 = 0 | (v1 = 0 & r(v0) = 0)))
% 54.38/15.86  							|
% 54.38/15.86  							| Instantiating (705) with all_48_0_3414, all_48_1_3415 yields:
% 54.38/15.86  							| (6462) ( ~ (all_0_2_2 = 0) | ( ~ (all_48_0_3414 = 0) & r(all_48_1_3415) = all_48_0_3414)) & (all_0_2_2 = 0 | (all_48_0_3414 = 0 & r(all_48_1_3415) = 0))
% 54.38/15.86  							|
% 54.38/15.86  							| Applying alpha-rule on (6462) yields:
% 54.38/15.86  							| (6463)  ~ (all_0_2_2 = 0) | ( ~ (all_48_0_3414 = 0) & r(all_48_1_3415) = all_48_0_3414)
% 54.38/15.86  							| (6464) all_0_2_2 = 0 | (all_48_0_3414 = 0 & r(all_48_1_3415) = 0)
% 54.38/15.86  							|
% 54.38/15.86  							+-Applying beta-rule and splitting (6464), into two cases.
% 54.38/15.86  							|-Branch one:
% 54.38/15.86  							| (39) all_0_2_2 = 0
% 54.38/15.86  							|
% 54.38/15.86  								| Equations (39) can reduce 210 to:
% 54.38/15.86  								| (59) $false
% 54.38/15.86  								|
% 54.38/15.86  								|-The branch is then unsatisfiable
% 54.38/15.86  							|-Branch two:
% 54.38/15.86  							| (210)  ~ (all_0_2_2 = 0)
% 54.38/15.86  							| (6468) all_48_0_3414 = 0 & r(all_48_1_3415) = 0
% 54.38/15.86  							|
% 54.38/15.86  								| Applying alpha-rule on (6468) yields:
% 54.38/15.86  								| (6469) all_48_0_3414 = 0
% 54.38/15.86  								| (6470) r(all_48_1_3415) = 0
% 54.38/15.86  								|
% 54.38/15.86  								| Instantiating formula (221) with all_48_1_3415 and discharging atoms r(all_48_1_3415) = 0, yields:
% 54.38/15.86  								| (79) $false
% 54.38/15.86  								|
% 54.38/15.86  								|-The branch is then unsatisfiable
% 54.38/15.86  						|-Branch two:
% 54.38/15.86  						| (2985)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] :  ~ (q(v0) = 0)
% 54.38/15.86  						|
% 54.38/15.86  							| Applying alpha-rule on (2985) yields:
% 54.38/15.86  							| (41)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 54.38/15.86  							| (212)  ! [v0] :  ~ (q(v0) = 0)
% 54.38/15.86  							|
% 54.38/15.86  							+-Applying beta-rule and splitting (371), into two cases.
% 54.38/15.86  							|-Branch one:
% 54.38/15.86  							| (391) ((all_0_8_8 = 0 & s(all_0_9_9) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_8_8 = 0) & p(all_0_9_9) = all_0_8_8 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))))
% 54.38/15.86  							|
% 54.38/15.86  								| Applying alpha-rule on (391) yields:
% 54.38/15.86  								| (392) (all_0_8_8 = 0 & s(all_0_9_9) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_8_8 = 0) & p(all_0_9_9) = all_0_8_8 &  ! [v0] :  ~ (s(v0) = 0))
% 54.38/15.86  								| (45) (s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0))))
% 54.38/15.86  								|
% 54.38/15.86  								+-Applying beta-rule and splitting (45), into two cases.
% 54.38/15.86  								|-Branch one:
% 54.38/15.86  								| (46) s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 54.38/15.86  								|
% 54.38/15.86  									| Applying alpha-rule on (46) yields:
% 54.38/15.86  									| (47) s(all_0_11_11) = all_0_10_10
% 54.38/15.86  									| (48)  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 54.38/15.86  									| (49)  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0))
% 54.38/15.86  									| (50) (all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 54.38/15.86  									|
% 54.38/15.86  									| Instantiating formula (220) with all_0_10_10, all_0_11_11 and discharging atoms s(all_0_11_11) = all_0_10_10, yields:
% 54.38/15.86  									| (58) all_0_10_10 = 0
% 54.38/15.86  									|
% 54.38/15.86  									| From (58) and (47) follows:
% 54.38/15.86  									| (138) s(all_0_11_11) = 0
% 54.38/15.86  									|
% 54.38/15.86  									+-Applying beta-rule and splitting (392), into two cases.
% 54.38/15.86  									|-Branch one:
% 54.38/15.86  									| (394) all_0_8_8 = 0 & s(all_0_9_9) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.38/15.86  									|
% 54.38/15.86  										| Applying alpha-rule on (394) yields:
% 54.38/15.86  										| (120) all_0_8_8 = 0
% 54.38/15.86  										| (396) s(all_0_9_9) = 0
% 54.38/15.86  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.38/15.86  										|
% 54.38/15.86  										+-Applying beta-rule and splitting (50), into two cases.
% 54.38/15.86  										|-Branch one:
% 54.38/15.86  										| (65) all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0
% 54.38/15.86  										|
% 54.38/15.86  											| Applying alpha-rule on (65) yields:
% 54.38/15.86  											| (66) all_0_12_12 = 0
% 54.38/15.86  											| (67)  ~ (all_0_14_14 = 0)
% 54.38/15.86  											| (68) q(all_0_15_15) = all_0_14_14
% 54.38/15.86  											| (69) p(all_0_13_13) = 0
% 54.38/15.86  											|
% 54.38/15.86  											| Instantiating formula (5867) with 0, all_0_13_13 and discharging atoms p(all_0_13_13) = 0, yields:
% 54.38/15.86  											| (5930)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & p(v0) = v1)
% 54.38/15.86  											|
% 54.38/15.87  											| Instantiating (5930) with all_69_0_3416, all_69_1_3417 yields:
% 54.38/15.87  											| (6495)  ~ (all_69_0_3416 = 0) & p(all_69_1_3417) = all_69_0_3416
% 54.38/15.87  											|
% 54.38/15.87  											| Applying alpha-rule on (6495) yields:
% 54.38/15.87  											| (6496)  ~ (all_69_0_3416 = 0)
% 54.38/15.87  											| (6497) p(all_69_1_3417) = all_69_0_3416
% 54.38/15.87  											|
% 54.38/15.87  											| Instantiating formula (61) with all_69_0_3416, all_69_1_3417 and discharging atoms p(all_69_1_3417) = all_69_0_3416, yields:
% 54.38/15.87  											| (6498) all_69_0_3416 = 0
% 54.38/15.87  											|
% 54.38/15.87  											| Equations (6498) can reduce 6496 to:
% 54.38/15.87  											| (59) $false
% 54.38/15.87  											|
% 54.38/15.87  											|-The branch is then unsatisfiable
% 54.38/15.87  										|-Branch two:
% 54.38/15.87  										| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 54.38/15.87  										|
% 54.38/15.87  											| Applying alpha-rule on (76) yields:
% 54.38/15.87  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.38/15.87  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.38/15.87  											|
% 54.38/15.87  											| Instantiating formula (77) with all_0_16_16, all_0_17_17 and discharging atoms q(all_0_17_17) = all_0_16_16, yields:
% 54.38/15.87  											| (42) all_0_16_16 = 0
% 54.38/15.87  											|
% 54.38/15.87  											| From (42) and (23) follows:
% 54.38/15.87  											| (264) q(all_0_17_17) = 0
% 54.38/15.87  											|
% 54.38/15.87  											| Instantiating formula (212) with all_0_17_17 and discharging atoms q(all_0_17_17) = 0, yields:
% 54.38/15.87  											| (79) $false
% 54.38/15.87  											|
% 54.38/15.87  											|-The branch is then unsatisfiable
% 54.38/15.87  									|-Branch two:
% 54.38/15.87  									| (427)  ~ (all_0_8_8 = 0) & p(all_0_9_9) = all_0_8_8 &  ! [v0] :  ~ (s(v0) = 0)
% 54.38/15.87  									|
% 54.38/15.87  										| Applying alpha-rule on (427) yields:
% 54.38/15.87  										| (55)  ~ (all_0_8_8 = 0)
% 54.38/15.87  										| (57) p(all_0_9_9) = all_0_8_8
% 54.38/15.87  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 54.38/15.87  										|
% 54.38/15.87  										| Instantiating formula (62) with all_0_11_11 and discharging atoms s(all_0_11_11) = 0, yields:
% 54.38/15.87  										| (79) $false
% 54.38/15.87  										|
% 54.38/15.87  										|-The branch is then unsatisfiable
% 54.38/15.87  								|-Branch two:
% 54.38/15.87  								| (83)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))
% 54.38/15.87  								|
% 54.38/15.87  									| Applying alpha-rule on (83) yields:
% 54.38/15.87  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 54.38/15.87  									| (85) (all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0))
% 54.38/15.87  									|
% 54.38/15.87  									+-Applying beta-rule and splitting (392), into two cases.
% 54.38/15.87  									|-Branch one:
% 54.38/15.87  									| (394) all_0_8_8 = 0 & s(all_0_9_9) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.38/15.87  									|
% 54.38/15.87  										| Applying alpha-rule on (394) yields:
% 54.38/15.87  										| (120) all_0_8_8 = 0
% 54.38/15.87  										| (396) s(all_0_9_9) = 0
% 54.38/15.87  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.38/15.87  										|
% 54.38/15.87  										| Instantiating formula (84) with 0, all_0_9_9 and discharging atoms s(all_0_9_9) = 0, yields:
% 54.38/15.87  										| (278)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & s(v0) = v1)
% 54.38/15.87  										|
% 54.38/15.87  										| Instantiating (278) with all_54_0_3418, all_54_1_3419 yields:
% 54.38/15.87  										| (6519)  ~ (all_54_0_3418 = 0) & s(all_54_1_3419) = all_54_0_3418
% 54.38/15.87  										|
% 54.38/15.87  										| Applying alpha-rule on (6519) yields:
% 54.38/15.87  										| (6520)  ~ (all_54_0_3418 = 0)
% 54.38/15.87  										| (6521) s(all_54_1_3419) = all_54_0_3418
% 54.38/15.87  										|
% 54.38/15.87  										| Instantiating formula (220) with all_54_0_3418, all_54_1_3419 and discharging atoms s(all_54_1_3419) = all_54_0_3418, yields:
% 54.38/15.87  										| (6522) all_54_0_3418 = 0
% 54.38/15.87  										|
% 54.38/15.87  										| Equations (6522) can reduce 6520 to:
% 54.38/15.87  										| (59) $false
% 54.38/15.87  										|
% 54.38/15.87  										|-The branch is then unsatisfiable
% 54.38/15.87  									|-Branch two:
% 54.38/15.87  									| (427)  ~ (all_0_8_8 = 0) & p(all_0_9_9) = all_0_8_8 &  ! [v0] :  ~ (s(v0) = 0)
% 54.38/15.87  									|
% 54.38/15.87  										| Applying alpha-rule on (427) yields:
% 54.38/15.87  										| (55)  ~ (all_0_8_8 = 0)
% 54.38/15.87  										| (57) p(all_0_9_9) = all_0_8_8
% 54.38/15.87  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 54.38/15.87  										|
% 54.38/15.87  										| Instantiating formula (5867) with all_0_8_8, all_0_9_9 and discharging atoms p(all_0_9_9) = all_0_8_8, yields:
% 54.38/15.87  										| (5963)  ? [v0] :  ? [v1] : (( ~ (all_0_8_8 = 0) | ( ~ (v1 = 0) & p(v0) = v1)) & (all_0_8_8 = 0 | (v1 = 0 & p(v0) = 0)))
% 54.38/15.87  										|
% 54.38/15.87  										| Instantiating (5963) with all_54_0_3420, all_54_1_3421 yields:
% 54.38/15.87  										| (6529) ( ~ (all_0_8_8 = 0) | ( ~ (all_54_0_3420 = 0) & p(all_54_1_3421) = all_54_0_3420)) & (all_0_8_8 = 0 | (all_54_0_3420 = 0 & p(all_54_1_3421) = 0))
% 54.38/15.87  										|
% 54.38/15.87  										| Applying alpha-rule on (6529) yields:
% 54.38/15.87  										| (6530)  ~ (all_0_8_8 = 0) | ( ~ (all_54_0_3420 = 0) & p(all_54_1_3421) = all_54_0_3420)
% 54.38/15.87  										| (6531) all_0_8_8 = 0 | (all_54_0_3420 = 0 & p(all_54_1_3421) = 0)
% 54.38/15.87  										|
% 54.38/15.87  										+-Applying beta-rule and splitting (85), into two cases.
% 54.38/15.87  										|-Branch one:
% 54.38/15.87  										| (103) all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.38/15.87  										|
% 54.38/15.87  											| Applying alpha-rule on (103) yields:
% 54.38/15.87  											| (74) all_0_14_14 = 0
% 54.38/15.87  											| (105) p(all_0_15_15) = 0
% 54.38/15.87  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.38/15.87  											|
% 54.38/15.87  											| Instantiating formula (77) with all_0_16_16, all_0_17_17 and discharging atoms q(all_0_17_17) = all_0_16_16, yields:
% 54.38/15.87  											| (42) all_0_16_16 = 0
% 54.38/15.87  											|
% 54.38/15.87  											| From (42) and (23) follows:
% 54.38/15.87  											| (264) q(all_0_17_17) = 0
% 54.38/15.87  											|
% 54.38/15.87  											| Instantiating formula (212) with all_0_17_17 and discharging atoms q(all_0_17_17) = 0, yields:
% 54.38/15.87  											| (79) $false
% 54.38/15.87  											|
% 54.38/15.87  											|-The branch is then unsatisfiable
% 54.38/15.87  										|-Branch two:
% 54.38/15.87  										| (109)  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)
% 54.38/15.87  										|
% 54.38/15.87  											| Applying alpha-rule on (109) yields:
% 54.38/15.87  											| (67)  ~ (all_0_14_14 = 0)
% 54.38/15.87  											| (68) q(all_0_15_15) = all_0_14_14
% 54.38/15.87  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.38/15.87  											|
% 54.38/15.87  											+-Applying beta-rule and splitting (6531), into two cases.
% 54.38/15.87  											|-Branch one:
% 54.38/15.87  											| (120) all_0_8_8 = 0
% 54.38/15.87  											|
% 54.38/15.87  												| Equations (120) can reduce 55 to:
% 54.38/15.87  												| (59) $false
% 54.38/15.87  												|
% 54.38/15.87  												|-The branch is then unsatisfiable
% 54.38/15.87  											|-Branch two:
% 54.38/15.87  											| (55)  ~ (all_0_8_8 = 0)
% 54.38/15.87  											| (6546) all_54_0_3420 = 0 & p(all_54_1_3421) = 0
% 54.38/15.87  											|
% 54.38/15.87  												| Applying alpha-rule on (6546) yields:
% 54.38/15.87  												| (6547) all_54_0_3420 = 0
% 54.38/15.87  												| (6548) p(all_54_1_3421) = 0
% 54.38/15.87  												|
% 54.38/15.87  												| Instantiating formula (78) with all_54_1_3421 and discharging atoms p(all_54_1_3421) = 0, yields:
% 54.38/15.87  												| (79) $false
% 54.38/15.87  												|
% 54.38/15.87  												|-The branch is then unsatisfiable
% 54.38/15.87  							|-Branch two:
% 54.38/15.87  							| (468) ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (s(v0) = 0)) & ((all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))
% 54.38/15.87  							|
% 54.38/15.87  								| Applying alpha-rule on (468) yields:
% 54.38/15.87  								| (469) (all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))
% 54.38/15.87  								| (470) (s(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (s(v0) = 0)) & ((all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))
% 54.38/15.87  								|
% 54.38/15.87  								+-Applying beta-rule and splitting (470), into two cases.
% 54.38/15.87  								|-Branch one:
% 54.38/15.87  								| (477) s(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (s(v0) = 0)) & ((all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0)))
% 54.38/15.87  								|
% 54.38/15.87  									| Applying alpha-rule on (477) yields:
% 54.38/15.87  									| (478) s(all_0_9_9) = all_0_8_8
% 54.38/15.87  									| (479)  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 54.38/15.87  									| (480)  ! [v0] : (all_0_8_8 = 0 |  ~ (s(v0) = 0))
% 54.38/15.87  									| (481) (all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0))
% 54.38/15.87  									|
% 54.38/15.87  									| Instantiating formula (220) with all_0_8_8, all_0_9_9 and discharging atoms s(all_0_9_9) = all_0_8_8, yields:
% 54.38/15.87  									| (120) all_0_8_8 = 0
% 54.38/15.87  									|
% 54.38/15.87  									| From (120) and (478) follows:
% 54.38/15.87  									| (396) s(all_0_9_9) = 0
% 54.38/15.87  									|
% 54.38/15.87  									+-Applying beta-rule and splitting (469), into two cases.
% 54.38/15.87  									|-Branch one:
% 54.38/15.87  									| (471) all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14
% 54.38/15.87  									|
% 54.38/15.87  										| Applying alpha-rule on (471) yields:
% 54.38/15.87  										| (66) all_0_12_12 = 0
% 54.38/15.87  										| (67)  ~ (all_0_14_14 = 0)
% 54.38/15.87  										| (310) s(all_0_13_13) = 0
% 54.38/15.87  										| (475) p(all_0_15_15) = all_0_14_14
% 54.38/15.87  										|
% 54.38/15.87  										| Instantiating formula (5867) with all_0_14_14, all_0_15_15 and discharging atoms p(all_0_15_15) = all_0_14_14, yields:
% 54.38/15.87  										| (6381)  ? [v0] :  ? [v1] : (( ~ (all_0_14_14 = 0) | ( ~ (v1 = 0) & p(v0) = v1)) & (all_0_14_14 = 0 | (v1 = 0 & p(v0) = 0)))
% 54.38/15.87  										|
% 54.38/15.87  										| Instantiating (6381) with all_61_0_3422, all_61_1_3423 yields:
% 54.38/15.87  										| (6566) ( ~ (all_0_14_14 = 0) | ( ~ (all_61_0_3422 = 0) & p(all_61_1_3423) = all_61_0_3422)) & (all_0_14_14 = 0 | (all_61_0_3422 = 0 & p(all_61_1_3423) = 0))
% 54.38/15.87  										|
% 54.38/15.87  										| Applying alpha-rule on (6566) yields:
% 54.38/15.87  										| (6567)  ~ (all_0_14_14 = 0) | ( ~ (all_61_0_3422 = 0) & p(all_61_1_3423) = all_61_0_3422)
% 54.38/15.87  										| (6568) all_0_14_14 = 0 | (all_61_0_3422 = 0 & p(all_61_1_3423) = 0)
% 54.38/15.87  										|
% 54.38/15.87  										+-Applying beta-rule and splitting (481), into two cases.
% 54.38/15.87  										|-Branch one:
% 54.38/15.87  										| (519) all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.38/15.87  										|
% 54.38/15.87  											| Applying alpha-rule on (519) yields:
% 54.38/15.87  											| (58) all_0_10_10 = 0
% 54.38/15.87  											| (521) p(all_0_11_11) = 0
% 54.38/15.87  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.38/15.87  											|
% 54.38/15.87  											| Instantiating formula (77) with all_0_16_16, all_0_17_17 and discharging atoms q(all_0_17_17) = all_0_16_16, yields:
% 54.38/15.87  											| (42) all_0_16_16 = 0
% 54.38/15.87  											|
% 54.38/15.87  											| From (42) and (23) follows:
% 54.38/15.87  											| (264) q(all_0_17_17) = 0
% 54.38/15.87  											|
% 54.38/15.87  											| Instantiating formula (212) with all_0_17_17 and discharging atoms q(all_0_17_17) = 0, yields:
% 54.38/15.87  											| (79) $false
% 54.38/15.87  											|
% 54.38/15.87  											|-The branch is then unsatisfiable
% 54.38/15.87  										|-Branch two:
% 54.38/15.87  										| (526)  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0)
% 54.38/15.87  										|
% 54.38/15.87  											| Applying alpha-rule on (526) yields:
% 54.38/15.87  											| (52)  ~ (all_0_10_10 = 0)
% 54.38/15.87  											| (496) q(all_0_11_11) = all_0_10_10
% 54.38/15.87  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.38/15.87  											|
% 54.38/15.88  											+-Applying beta-rule and splitting (6568), into two cases.
% 54.38/15.88  											|-Branch one:
% 54.38/15.88  											| (74) all_0_14_14 = 0
% 54.38/15.88  											|
% 54.38/15.88  												| Equations (74) can reduce 67 to:
% 54.38/15.88  												| (59) $false
% 54.38/15.88  												|
% 54.38/15.88  												|-The branch is then unsatisfiable
% 54.38/15.88  											|-Branch two:
% 54.38/15.88  											| (67)  ~ (all_0_14_14 = 0)
% 54.38/15.88  											| (6583) all_61_0_3422 = 0 & p(all_61_1_3423) = 0
% 54.38/15.88  											|
% 54.38/15.88  												| Applying alpha-rule on (6583) yields:
% 54.38/15.88  												| (6584) all_61_0_3422 = 0
% 54.38/15.88  												| (6585) p(all_61_1_3423) = 0
% 54.38/15.88  												|
% 54.38/15.88  												| Instantiating formula (78) with all_61_1_3423 and discharging atoms p(all_61_1_3423) = 0, yields:
% 54.38/15.88  												| (79) $false
% 54.38/15.88  												|
% 54.38/15.88  												|-The branch is then unsatisfiable
% 54.38/15.88  									|-Branch two:
% 54.38/15.88  									| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 54.38/15.88  									|
% 54.38/15.88  										| Applying alpha-rule on (60) yields:
% 54.38/15.88  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.38/15.88  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 54.38/15.88  										|
% 54.38/15.88  										| Instantiating formula (62) with all_0_9_9 and discharging atoms s(all_0_9_9) = 0, yields:
% 54.38/15.88  										| (79) $false
% 54.38/15.88  										|
% 54.38/15.88  										|-The branch is then unsatisfiable
% 54.38/15.88  								|-Branch two:
% 54.38/15.88  								| (489)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 54.38/15.88  								|
% 54.38/15.88  									| Applying alpha-rule on (489) yields:
% 54.38/15.88  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 54.38/15.88  									| (491) (all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 54.38/15.88  									|
% 54.38/15.88  									+-Applying beta-rule and splitting (469), into two cases.
% 54.38/15.88  									|-Branch one:
% 54.38/15.88  									| (471) all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14
% 54.38/15.88  									|
% 54.38/15.88  										| Applying alpha-rule on (471) yields:
% 54.38/15.88  										| (66) all_0_12_12 = 0
% 54.38/15.88  										| (67)  ~ (all_0_14_14 = 0)
% 54.38/15.88  										| (310) s(all_0_13_13) = 0
% 54.38/15.88  										| (475) p(all_0_15_15) = all_0_14_14
% 54.38/15.88  										|
% 54.38/15.88  										| Instantiating formula (84) with 0, all_0_13_13 and discharging atoms s(all_0_13_13) = 0, yields:
% 54.38/15.88  										| (278)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & s(v0) = v1)
% 54.38/15.88  										|
% 54.38/15.88  										| Instantiating (278) with all_54_0_3426, all_54_1_3427 yields:
% 54.38/15.88  										| (6600)  ~ (all_54_0_3426 = 0) & s(all_54_1_3427) = all_54_0_3426
% 54.38/15.88  										|
% 54.38/15.88  										| Applying alpha-rule on (6600) yields:
% 54.38/15.88  										| (6601)  ~ (all_54_0_3426 = 0)
% 54.38/15.88  										| (6602) s(all_54_1_3427) = all_54_0_3426
% 54.38/15.88  										|
% 54.38/15.88  										| Instantiating formula (220) with all_54_0_3426, all_54_1_3427 and discharging atoms s(all_54_1_3427) = all_54_0_3426, yields:
% 54.38/15.88  										| (6603) all_54_0_3426 = 0
% 54.38/15.88  										|
% 54.38/15.88  										| Equations (6603) can reduce 6601 to:
% 54.38/15.88  										| (59) $false
% 54.38/15.88  										|
% 54.38/15.88  										|-The branch is then unsatisfiable
% 54.38/15.88  									|-Branch two:
% 54.38/15.88  									| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 54.38/15.88  									|
% 54.38/15.88  										| Applying alpha-rule on (60) yields:
% 54.38/15.88  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.38/15.88  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 54.38/15.88  										|
% 54.38/15.88  										+-Applying beta-rule and splitting (491), into two cases.
% 54.38/15.88  										|-Branch one:
% 54.38/15.88  										| (493) all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0
% 54.38/15.88  										|
% 54.38/15.88  											| Applying alpha-rule on (493) yields:
% 54.38/15.88  											| (120) all_0_8_8 = 0
% 54.38/15.88  											| (52)  ~ (all_0_10_10 = 0)
% 54.38/15.88  											| (496) q(all_0_11_11) = all_0_10_10
% 54.38/15.88  											| (497) p(all_0_9_9) = 0
% 54.38/15.88  											|
% 54.38/15.88  											| Instantiating formula (5867) with 0, all_0_9_9 and discharging atoms p(all_0_9_9) = 0, yields:
% 54.38/15.88  											| (5930)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & p(v0) = v1)
% 54.38/15.88  											|
% 54.38/15.88  											| Instantiating (5930) with all_57_0_3428, all_57_1_3429 yields:
% 54.38/15.88  											| (6614)  ~ (all_57_0_3428 = 0) & p(all_57_1_3429) = all_57_0_3428
% 54.38/15.88  											|
% 54.38/15.88  											| Applying alpha-rule on (6614) yields:
% 54.38/15.88  											| (6615)  ~ (all_57_0_3428 = 0)
% 54.38/15.88  											| (6616) p(all_57_1_3429) = all_57_0_3428
% 54.38/15.88  											|
% 54.38/15.88  											| Instantiating formula (61) with all_57_0_3428, all_57_1_3429 and discharging atoms p(all_57_1_3429) = all_57_0_3428, yields:
% 54.38/15.88  											| (6617) all_57_0_3428 = 0
% 54.38/15.88  											|
% 54.38/15.88  											| Equations (6617) can reduce 6615 to:
% 54.38/15.88  											| (59) $false
% 54.38/15.88  											|
% 54.38/15.88  											|-The branch is then unsatisfiable
% 54.38/15.88  										|-Branch two:
% 54.38/15.88  										| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 54.38/15.88  										|
% 54.38/15.88  											| Applying alpha-rule on (76) yields:
% 54.38/15.88  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.38/15.88  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.38/15.88  											|
% 54.38/15.88  											| Instantiating formula (77) with all_0_16_16, all_0_17_17 and discharging atoms q(all_0_17_17) = all_0_16_16, yields:
% 54.38/15.88  											| (42) all_0_16_16 = 0
% 54.38/15.88  											|
% 54.38/15.88  											| From (42) and (23) follows:
% 54.38/15.88  											| (264) q(all_0_17_17) = 0
% 54.38/15.88  											|
% 54.38/15.88  											| Instantiating formula (212) with all_0_17_17 and discharging atoms q(all_0_17_17) = 0, yields:
% 54.38/15.88  											| (79) $false
% 54.38/15.88  											|
% 54.38/15.88  											|-The branch is then unsatisfiable
% 54.38/15.88  			|-Branch two:
% 54.38/15.88  			| (716)  ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_20_20 = 0 & r(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_20_20 = 0) & s(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (r(v0) = 0)))
% 54.38/15.88  			|
% 54.38/15.88  				| Applying alpha-rule on (716) yields:
% 54.38/15.88  				| (717)  ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0))))
% 54.38/15.88  				| (718) (all_0_20_20 = 0 & r(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_20_20 = 0) & s(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (r(v0) = 0))
% 54.38/15.88  				|
% 54.38/15.88  				+-Applying beta-rule and splitting (20), into two cases.
% 54.38/15.88  				|-Branch one:
% 54.38/15.88  				| (27) r(all_0_5_5) = all_0_4_4 &  ! [v0] :  ! [v1] : ( ~ (all_0_4_4 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_4_4 = 0 |  ~ (r(v0) = 0)) & ((((all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_7_7) = 0 & p(all_0_9_9) = all_0_8_8) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))
% 54.38/15.88  				|
% 54.38/15.88  					| Applying alpha-rule on (27) yields:
% 54.38/15.88  					| (28) r(all_0_5_5) = all_0_4_4
% 54.38/15.88  					| (29)  ! [v0] :  ! [v1] : ( ~ (all_0_4_4 = 0) | v1 = 0 |  ~ (r(v0) = v1))
% 54.38/15.88  					| (30)  ! [v0] : (all_0_4_4 = 0 |  ~ (r(v0) = 0))
% 54.38/15.88  					| (31) (((all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_7_7) = 0 & p(all_0_9_9) = all_0_8_8) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))
% 54.38/15.88  					|
% 54.38/15.88  					+-Applying beta-rule and splitting (718), into two cases.
% 54.38/15.88  					|-Branch one:
% 54.38/15.88  					| (724) all_0_20_20 = 0 & r(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))
% 54.38/15.88  					|
% 54.38/15.88  						| Applying alpha-rule on (724) yields:
% 54.38/15.88  						| (81) all_0_20_20 = 0
% 54.38/15.88  						| (726) r(all_0_21_21) = 0
% 54.38/15.88  						| (220)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))
% 54.38/15.88  						|
% 54.38/15.88  						| Instantiating formula (30) with all_0_21_21 and discharging atoms r(all_0_21_21) = 0, yields:
% 54.38/15.88  						| (37) all_0_4_4 = 0
% 54.38/15.88  						|
% 54.38/15.88  						+-Applying beta-rule and splitting (5870), into two cases.
% 54.38/15.88  						|-Branch one:
% 54.38/15.88  						| (5891) all_0_0_0 = 0 &  ~ (all_0_2_2 = 0) & r(all_0_3_3) = all_0_2_2 & q(all_0_1_1) = 0
% 54.38/15.88  						|
% 54.38/15.88  							| Applying alpha-rule on (5891) yields:
% 54.38/15.88  							| (63) all_0_0_0 = 0
% 54.38/15.88  							| (210)  ~ (all_0_2_2 = 0)
% 54.38/15.88  							| (211) r(all_0_3_3) = all_0_2_2
% 54.38/15.88  							| (5895) q(all_0_1_1) = 0
% 54.38/15.88  							|
% 54.38/15.88  							| Instantiating formula (29) with all_0_2_2, all_0_3_3 and discharging atoms r(all_0_3_3) = all_0_2_2, yields:
% 54.38/15.88  							| (213)  ~ (all_0_4_4 = 0) | all_0_2_2 = 0
% 54.38/15.88  							|
% 54.38/15.88  							+-Applying beta-rule and splitting (213), into two cases.
% 54.38/15.88  							|-Branch one:
% 54.38/15.88  							| (214)  ~ (all_0_4_4 = 0)
% 54.38/15.88  							|
% 54.38/15.88  								| Equations (37) can reduce 214 to:
% 54.38/15.88  								| (59) $false
% 54.38/15.88  								|
% 54.38/15.88  								|-The branch is then unsatisfiable
% 54.38/15.88  							|-Branch two:
% 54.38/15.88  							| (37) all_0_4_4 = 0
% 54.38/15.88  							| (39) all_0_2_2 = 0
% 54.38/15.88  							|
% 54.38/15.88  								| Equations (39) can reduce 210 to:
% 54.38/15.88  								| (59) $false
% 54.38/15.88  								|
% 54.38/15.88  								|-The branch is then unsatisfiable
% 54.38/15.88  						|-Branch two:
% 54.38/15.88  						| (2985)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] :  ~ (q(v0) = 0)
% 54.38/15.88  						|
% 54.38/15.88  							| Applying alpha-rule on (2985) yields:
% 54.38/15.88  							| (41)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 54.38/15.88  							| (212)  ! [v0] :  ~ (q(v0) = 0)
% 54.38/15.88  							|
% 54.38/15.88  							+-Applying beta-rule and splitting (31), into two cases.
% 54.38/15.88  							|-Branch one:
% 54.38/15.88  							| (43) ((all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_7_7) = 0 & p(all_0_9_9) = all_0_8_8) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))))
% 54.38/15.88  							|
% 54.38/15.88  								| Applying alpha-rule on (43) yields:
% 54.38/15.88  								| (44) (all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_7_7) = 0 & p(all_0_9_9) = all_0_8_8) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))
% 54.38/15.88  								| (45) (s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0))))
% 54.38/15.89  								|
% 54.38/15.89  								+-Applying beta-rule and splitting (45), into two cases.
% 54.38/15.89  								|-Branch one:
% 54.38/15.89  								| (46) s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 54.38/15.89  								|
% 54.38/15.89  									| Applying alpha-rule on (46) yields:
% 54.38/15.89  									| (47) s(all_0_11_11) = all_0_10_10
% 54.48/15.89  									| (48)  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 54.48/15.89  									| (49)  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0))
% 54.48/15.89  									| (50) (all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 54.48/15.89  									|
% 54.48/15.89  									| Instantiating formula (220) with all_0_10_10, all_0_11_11 and discharging atoms s(all_0_11_11) = all_0_10_10, yields:
% 54.48/15.89  									| (58) all_0_10_10 = 0
% 54.48/15.89  									|
% 54.48/15.89  									| From (58) and (47) follows:
% 54.48/15.89  									| (138) s(all_0_11_11) = 0
% 54.48/15.89  									|
% 54.48/15.89  									+-Applying beta-rule and splitting (44), into two cases.
% 54.48/15.89  									|-Branch one:
% 54.48/15.89  									| (53) all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_7_7) = 0 & p(all_0_9_9) = all_0_8_8
% 54.48/15.89  									|
% 54.48/15.89  										| Applying alpha-rule on (53) yields:
% 54.48/15.89  										| (54) all_0_6_6 = 0
% 54.48/15.89  										| (55)  ~ (all_0_8_8 = 0)
% 54.48/15.89  										| (56) s(all_0_7_7) = 0
% 54.48/15.89  										| (57) p(all_0_9_9) = all_0_8_8
% 54.48/15.89  										|
% 54.48/15.89  										| Instantiating formula (5867) with all_0_8_8, all_0_9_9 and discharging atoms p(all_0_9_9) = all_0_8_8, yields:
% 54.48/15.89  										| (5963)  ? [v0] :  ? [v1] : (( ~ (all_0_8_8 = 0) | ( ~ (v1 = 0) & p(v0) = v1)) & (all_0_8_8 = 0 | (v1 = 0 & p(v0) = 0)))
% 54.48/15.89  										|
% 54.48/15.89  										| Instantiating (5963) with all_69_0_3432, all_69_1_3433 yields:
% 54.48/15.89  										| (6668) ( ~ (all_0_8_8 = 0) | ( ~ (all_69_0_3432 = 0) & p(all_69_1_3433) = all_69_0_3432)) & (all_0_8_8 = 0 | (all_69_0_3432 = 0 & p(all_69_1_3433) = 0))
% 54.48/15.89  										|
% 54.48/15.89  										| Applying alpha-rule on (6668) yields:
% 54.48/15.89  										| (6669)  ~ (all_0_8_8 = 0) | ( ~ (all_69_0_3432 = 0) & p(all_69_1_3433) = all_69_0_3432)
% 54.48/15.89  										| (6670) all_0_8_8 = 0 | (all_69_0_3432 = 0 & p(all_69_1_3433) = 0)
% 54.48/15.89  										|
% 54.48/15.89  										+-Applying beta-rule and splitting (50), into two cases.
% 54.48/15.89  										|-Branch one:
% 54.48/15.89  										| (65) all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0
% 54.48/15.89  										|
% 54.48/15.89  											| Applying alpha-rule on (65) yields:
% 54.48/15.89  											| (66) all_0_12_12 = 0
% 54.48/15.89  											| (67)  ~ (all_0_14_14 = 0)
% 54.48/15.89  											| (68) q(all_0_15_15) = all_0_14_14
% 54.48/15.89  											| (69) p(all_0_13_13) = 0
% 54.48/15.89  											|
% 54.48/15.89  											| Instantiating formula (717) with all_0_14_14, all_0_15_15 and discharging atoms q(all_0_15_15) = all_0_14_14, yields:
% 54.48/15.89  											| (941)  ? [v0] :  ? [v1] : (( ~ (all_0_14_14 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_0_14_14 = 0 | (v1 = 0 & q(v0) = 0)))
% 54.48/15.89  											|
% 54.48/15.89  											| Instantiating (941) with all_83_0_3436, all_83_1_3437 yields:
% 54.48/15.89  											| (6677) ( ~ (all_0_14_14 = 0) | ( ~ (all_83_0_3436 = 0) & q(all_83_1_3437) = all_83_0_3436)) & (all_0_14_14 = 0 | (all_83_0_3436 = 0 & q(all_83_1_3437) = 0))
% 54.48/15.89  											|
% 54.48/15.89  											| Applying alpha-rule on (6677) yields:
% 54.48/15.89  											| (6678)  ~ (all_0_14_14 = 0) | ( ~ (all_83_0_3436 = 0) & q(all_83_1_3437) = all_83_0_3436)
% 54.48/15.89  											| (6679) all_0_14_14 = 0 | (all_83_0_3436 = 0 & q(all_83_1_3437) = 0)
% 54.48/15.89  											|
% 54.48/15.89  											+-Applying beta-rule and splitting (6679), into two cases.
% 54.48/15.89  											|-Branch one:
% 54.48/15.89  											| (74) all_0_14_14 = 0
% 54.48/15.89  											|
% 54.48/15.89  												| Equations (74) can reduce 67 to:
% 54.48/15.89  												| (59) $false
% 54.48/15.89  												|
% 54.48/15.89  												|-The branch is then unsatisfiable
% 54.48/15.89  											|-Branch two:
% 54.48/15.89  											| (67)  ~ (all_0_14_14 = 0)
% 54.48/15.89  											| (6683) all_83_0_3436 = 0 & q(all_83_1_3437) = 0
% 54.48/15.89  											|
% 54.48/15.89  												| Applying alpha-rule on (6683) yields:
% 54.48/15.89  												| (6684) all_83_0_3436 = 0
% 54.48/15.89  												| (6685) q(all_83_1_3437) = 0
% 54.48/15.89  												|
% 54.48/15.89  												| Instantiating formula (212) with all_83_1_3437 and discharging atoms q(all_83_1_3437) = 0, yields:
% 54.48/15.89  												| (79) $false
% 54.48/15.89  												|
% 54.48/15.89  												|-The branch is then unsatisfiable
% 54.48/15.89  										|-Branch two:
% 54.48/15.89  										| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 54.48/15.89  										|
% 54.48/15.89  											| Applying alpha-rule on (76) yields:
% 54.48/15.89  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.48/15.89  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.48/15.89  											|
% 54.48/15.89  											+-Applying beta-rule and splitting (6670), into two cases.
% 54.48/15.89  											|-Branch one:
% 54.48/15.89  											| (120) all_0_8_8 = 0
% 54.48/15.89  											|
% 54.48/15.89  												| Equations (120) can reduce 55 to:
% 54.48/15.89  												| (59) $false
% 54.48/15.89  												|
% 54.48/15.89  												|-The branch is then unsatisfiable
% 54.48/15.89  											|-Branch two:
% 54.48/15.89  											| (55)  ~ (all_0_8_8 = 0)
% 54.48/15.89  											| (6693) all_69_0_3432 = 0 & p(all_69_1_3433) = 0
% 54.48/15.89  											|
% 54.48/15.89  												| Applying alpha-rule on (6693) yields:
% 54.48/15.89  												| (6694) all_69_0_3432 = 0
% 54.48/15.89  												| (6695) p(all_69_1_3433) = 0
% 54.48/15.89  												|
% 54.48/15.89  												| Instantiating formula (78) with all_69_1_3433 and discharging atoms p(all_69_1_3433) = 0, yields:
% 54.48/15.89  												| (79) $false
% 54.48/15.89  												|
% 54.48/15.89  												|-The branch is then unsatisfiable
% 54.48/15.89  									|-Branch two:
% 54.48/15.89  									| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 54.48/15.89  									|
% 54.48/15.89  										| Applying alpha-rule on (60) yields:
% 54.48/15.89  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.48/15.89  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 54.48/15.89  										|
% 54.48/15.89  										| Instantiating formula (62) with all_0_11_11 and discharging atoms s(all_0_11_11) = 0, yields:
% 54.48/15.89  										| (79) $false
% 54.48/15.89  										|
% 54.48/15.89  										|-The branch is then unsatisfiable
% 54.48/15.89  								|-Branch two:
% 54.48/15.89  								| (83)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))
% 54.48/15.89  								|
% 54.48/15.89  									| Applying alpha-rule on (83) yields:
% 54.48/15.89  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 54.48/15.89  									| (85) (all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0))
% 54.48/15.89  									|
% 54.48/15.89  									+-Applying beta-rule and splitting (44), into two cases.
% 54.48/15.89  									|-Branch one:
% 54.48/15.89  									| (53) all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_7_7) = 0 & p(all_0_9_9) = all_0_8_8
% 54.48/15.89  									|
% 54.48/15.89  										| Applying alpha-rule on (53) yields:
% 54.48/15.89  										| (54) all_0_6_6 = 0
% 54.48/15.89  										| (55)  ~ (all_0_8_8 = 0)
% 54.48/15.89  										| (56) s(all_0_7_7) = 0
% 54.48/15.89  										| (57) p(all_0_9_9) = all_0_8_8
% 54.48/15.89  										|
% 54.48/15.89  										| Instantiating formula (84) with 0, all_0_7_7 and discharging atoms s(all_0_7_7) = 0, yields:
% 54.48/15.89  										| (278)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & s(v0) = v1)
% 54.48/15.89  										|
% 54.48/15.89  										| Instantiating (278) with all_62_0_3440, all_62_1_3441 yields:
% 54.48/15.89  										| (6710)  ~ (all_62_0_3440 = 0) & s(all_62_1_3441) = all_62_0_3440
% 54.48/15.89  										|
% 54.48/15.89  										| Applying alpha-rule on (6710) yields:
% 54.48/15.89  										| (6711)  ~ (all_62_0_3440 = 0)
% 54.48/15.89  										| (6712) s(all_62_1_3441) = all_62_0_3440
% 54.48/15.89  										|
% 54.48/15.89  										| Instantiating formula (220) with all_62_0_3440, all_62_1_3441 and discharging atoms s(all_62_1_3441) = all_62_0_3440, yields:
% 54.48/15.89  										| (6713) all_62_0_3440 = 0
% 54.48/15.89  										|
% 54.48/15.89  										| Equations (6713) can reduce 6711 to:
% 54.48/15.89  										| (59) $false
% 54.48/15.89  										|
% 54.48/15.89  										|-The branch is then unsatisfiable
% 54.48/15.89  									|-Branch two:
% 54.48/15.89  									| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 54.48/15.89  									|
% 54.48/15.89  										| Applying alpha-rule on (60) yields:
% 54.48/15.89  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.48/15.89  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 54.48/15.89  										|
% 54.48/15.89  										+-Applying beta-rule and splitting (85), into two cases.
% 54.48/15.89  										|-Branch one:
% 54.48/15.89  										| (103) all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.48/15.89  										|
% 54.48/15.89  											| Applying alpha-rule on (103) yields:
% 54.48/15.89  											| (74) all_0_14_14 = 0
% 54.48/15.89  											| (105) p(all_0_15_15) = 0
% 54.48/15.89  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.48/15.89  											|
% 54.48/15.89  											| Instantiating formula (5867) with 0, all_0_15_15 and discharging atoms p(all_0_15_15) = 0, yields:
% 54.48/15.89  											| (5930)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & p(v0) = v1)
% 54.48/15.89  											|
% 54.48/15.89  											| Instantiating (5930) with all_66_0_3442, all_66_1_3443 yields:
% 54.48/15.89  											| (6723)  ~ (all_66_0_3442 = 0) & p(all_66_1_3443) = all_66_0_3442
% 54.48/15.89  											|
% 54.48/15.89  											| Applying alpha-rule on (6723) yields:
% 54.48/15.89  											| (6724)  ~ (all_66_0_3442 = 0)
% 54.48/15.89  											| (6725) p(all_66_1_3443) = all_66_0_3442
% 54.48/15.89  											|
% 54.48/15.89  											| Instantiating formula (61) with all_66_0_3442, all_66_1_3443 and discharging atoms p(all_66_1_3443) = all_66_0_3442, yields:
% 54.48/15.90  											| (6726) all_66_0_3442 = 0
% 54.48/15.90  											|
% 54.48/15.90  											| Equations (6726) can reduce 6724 to:
% 54.48/15.90  											| (59) $false
% 54.48/15.90  											|
% 54.48/15.90  											|-The branch is then unsatisfiable
% 54.48/15.90  										|-Branch two:
% 54.48/15.90  										| (109)  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)
% 54.48/15.90  										|
% 54.48/15.90  											| Applying alpha-rule on (109) yields:
% 54.48/15.90  											| (67)  ~ (all_0_14_14 = 0)
% 54.48/15.90  											| (68) q(all_0_15_15) = all_0_14_14
% 54.48/15.90  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.48/15.90  											|
% 54.48/15.90  											| Instantiating formula (717) with all_0_14_14, all_0_15_15 and discharging atoms q(all_0_15_15) = all_0_14_14, yields:
% 54.48/15.90  											| (941)  ? [v0] :  ? [v1] : (( ~ (all_0_14_14 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_0_14_14 = 0 | (v1 = 0 & q(v0) = 0)))
% 54.48/15.90  											|
% 54.48/15.90  											| Instantiating (941) with all_66_0_3444, all_66_1_3445 yields:
% 54.48/15.90  											| (6733) ( ~ (all_0_14_14 = 0) | ( ~ (all_66_0_3444 = 0) & q(all_66_1_3445) = all_66_0_3444)) & (all_0_14_14 = 0 | (all_66_0_3444 = 0 & q(all_66_1_3445) = 0))
% 54.48/15.90  											|
% 54.48/15.90  											| Applying alpha-rule on (6733) yields:
% 54.48/15.90  											| (6734)  ~ (all_0_14_14 = 0) | ( ~ (all_66_0_3444 = 0) & q(all_66_1_3445) = all_66_0_3444)
% 54.48/15.90  											| (6735) all_0_14_14 = 0 | (all_66_0_3444 = 0 & q(all_66_1_3445) = 0)
% 54.48/15.90  											|
% 54.48/15.90  											+-Applying beta-rule and splitting (6735), into two cases.
% 54.48/15.90  											|-Branch one:
% 54.48/15.90  											| (74) all_0_14_14 = 0
% 54.48/15.90  											|
% 54.48/15.90  												| Equations (74) can reduce 67 to:
% 54.48/15.90  												| (59) $false
% 54.48/15.90  												|
% 54.48/15.90  												|-The branch is then unsatisfiable
% 54.48/15.90  											|-Branch two:
% 54.48/15.90  											| (67)  ~ (all_0_14_14 = 0)
% 54.48/15.90  											| (6739) all_66_0_3444 = 0 & q(all_66_1_3445) = 0
% 54.48/15.90  											|
% 54.48/15.90  												| Applying alpha-rule on (6739) yields:
% 54.48/15.90  												| (6740) all_66_0_3444 = 0
% 54.48/15.90  												| (6741) q(all_66_1_3445) = 0
% 54.48/15.90  												|
% 54.48/15.90  												| Instantiating formula (212) with all_66_1_3445 and discharging atoms q(all_66_1_3445) = 0, yields:
% 54.48/15.90  												| (79) $false
% 54.48/15.90  												|
% 54.48/15.90  												|-The branch is then unsatisfiable
% 54.48/15.90  							|-Branch two:
% 54.48/15.90  							| (126) ((all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))
% 54.48/15.90  							|
% 54.48/15.90  								| Applying alpha-rule on (126) yields:
% 54.48/15.90  								| (127) (all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))
% 54.48/15.90  								| (128) (s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))
% 54.48/15.90  								|
% 54.48/15.90  								+-Applying beta-rule and splitting (128), into two cases.
% 54.48/15.90  								|-Branch one:
% 54.48/15.90  								| (129) s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))
% 54.48/15.90  								|
% 54.48/15.90  									| Applying alpha-rule on (129) yields:
% 54.48/15.90  									| (130) s(all_0_13_13) = all_0_12_12
% 54.48/15.90  									| (131)  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 54.48/15.90  									| (132)  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0))
% 54.48/15.90  									| (85) (all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0))
% 54.48/15.90  									|
% 54.48/15.90  									| Instantiating formula (220) with all_0_12_12, all_0_13_13 and discharging atoms s(all_0_13_13) = all_0_12_12, yields:
% 54.48/15.90  									| (66) all_0_12_12 = 0
% 54.48/15.90  									|
% 54.48/15.90  									| From (66) and (130) follows:
% 54.48/15.90  									| (310) s(all_0_13_13) = 0
% 54.48/15.90  									|
% 54.48/15.90  									+-Applying beta-rule and splitting (127), into two cases.
% 54.48/15.90  									|-Branch one:
% 54.48/15.90  									| (136) all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.48/15.90  									|
% 54.48/15.90  										| Applying alpha-rule on (136) yields:
% 54.48/15.90  										| (58) all_0_10_10 = 0
% 54.48/15.90  										| (138) s(all_0_11_11) = 0
% 54.48/15.90  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.48/15.90  										|
% 54.48/15.90  										+-Applying beta-rule and splitting (85), into two cases.
% 54.48/15.90  										|-Branch one:
% 54.48/15.90  										| (103) all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.48/15.90  										|
% 54.48/15.90  											| Applying alpha-rule on (103) yields:
% 54.48/15.90  											| (74) all_0_14_14 = 0
% 54.48/15.90  											| (105) p(all_0_15_15) = 0
% 54.48/15.90  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.48/15.90  											|
% 54.48/15.90  											| Instantiating formula (5867) with 0, all_0_15_15 and discharging atoms p(all_0_15_15) = 0, yields:
% 54.48/15.90  											| (5930)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & p(v0) = v1)
% 54.48/15.90  											|
% 54.48/15.90  											| Instantiating (5930) with all_78_0_3446, all_78_1_3447 yields:
% 54.48/15.90  											| (6762)  ~ (all_78_0_3446 = 0) & p(all_78_1_3447) = all_78_0_3446
% 54.48/15.90  											|
% 54.48/15.90  											| Applying alpha-rule on (6762) yields:
% 54.48/15.90  											| (6763)  ~ (all_78_0_3446 = 0)
% 54.48/15.90  											| (6764) p(all_78_1_3447) = all_78_0_3446
% 54.48/15.90  											|
% 54.48/15.90  											| Instantiating formula (61) with all_78_0_3446, all_78_1_3447 and discharging atoms p(all_78_1_3447) = all_78_0_3446, yields:
% 54.48/15.90  											| (6765) all_78_0_3446 = 0
% 54.48/15.90  											|
% 54.48/15.90  											| Equations (6765) can reduce 6763 to:
% 54.48/15.90  											| (59) $false
% 54.48/15.90  											|
% 54.48/15.90  											|-The branch is then unsatisfiable
% 54.48/15.90  										|-Branch two:
% 54.48/15.90  										| (109)  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)
% 54.48/15.90  										|
% 54.48/15.90  											| Applying alpha-rule on (109) yields:
% 54.48/15.90  											| (67)  ~ (all_0_14_14 = 0)
% 54.48/15.90  											| (68) q(all_0_15_15) = all_0_14_14
% 54.48/15.90  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.48/15.90  											|
% 54.48/15.90  											| Instantiating formula (717) with all_0_14_14, all_0_15_15 and discharging atoms q(all_0_15_15) = all_0_14_14, yields:
% 54.48/15.90  											| (941)  ? [v0] :  ? [v1] : (( ~ (all_0_14_14 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_0_14_14 = 0 | (v1 = 0 & q(v0) = 0)))
% 54.48/15.90  											|
% 54.48/15.90  											| Instantiating (941) with all_78_0_3448, all_78_1_3449 yields:
% 54.48/15.90  											| (6772) ( ~ (all_0_14_14 = 0) | ( ~ (all_78_0_3448 = 0) & q(all_78_1_3449) = all_78_0_3448)) & (all_0_14_14 = 0 | (all_78_0_3448 = 0 & q(all_78_1_3449) = 0))
% 54.48/15.90  											|
% 54.48/15.90  											| Applying alpha-rule on (6772) yields:
% 54.48/15.90  											| (6773)  ~ (all_0_14_14 = 0) | ( ~ (all_78_0_3448 = 0) & q(all_78_1_3449) = all_78_0_3448)
% 54.48/15.90  											| (6774) all_0_14_14 = 0 | (all_78_0_3448 = 0 & q(all_78_1_3449) = 0)
% 54.48/15.90  											|
% 54.48/15.90  											+-Applying beta-rule and splitting (6774), into two cases.
% 54.48/15.90  											|-Branch one:
% 54.48/15.90  											| (74) all_0_14_14 = 0
% 54.48/15.90  											|
% 54.48/15.90  												| Equations (74) can reduce 67 to:
% 54.48/15.90  												| (59) $false
% 54.48/15.90  												|
% 54.48/15.90  												|-The branch is then unsatisfiable
% 54.48/15.90  											|-Branch two:
% 54.48/15.90  											| (67)  ~ (all_0_14_14 = 0)
% 54.48/15.90  											| (6778) all_78_0_3448 = 0 & q(all_78_1_3449) = 0
% 54.48/15.90  											|
% 54.48/15.90  												| Applying alpha-rule on (6778) yields:
% 54.48/15.90  												| (6779) all_78_0_3448 = 0
% 54.48/15.91  												| (6780) q(all_78_1_3449) = 0
% 54.48/15.91  												|
% 54.48/15.91  												| Instantiating formula (212) with all_78_1_3449 and discharging atoms q(all_78_1_3449) = 0, yields:
% 54.48/15.91  												| (79) $false
% 54.48/15.91  												|
% 54.48/15.91  												|-The branch is then unsatisfiable
% 54.48/15.91  									|-Branch two:
% 54.48/15.91  									| (142)  ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0)
% 54.48/15.91  									|
% 54.48/15.91  										| Applying alpha-rule on (142) yields:
% 54.48/15.91  										| (52)  ~ (all_0_10_10 = 0)
% 54.48/15.91  										| (144) p(all_0_11_11) = all_0_10_10
% 54.48/15.91  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 54.48/15.91  										|
% 54.48/15.91  										| Instantiating formula (62) with all_0_13_13 and discharging atoms s(all_0_13_13) = 0, yields:
% 54.48/15.91  										| (79) $false
% 54.48/15.91  										|
% 54.48/15.91  										|-The branch is then unsatisfiable
% 54.48/15.91  								|-Branch two:
% 54.48/15.91  								| (170)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 54.48/15.91  								|
% 54.48/15.91  									| Applying alpha-rule on (170) yields:
% 54.48/15.91  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 54.48/15.91  									| (50) (all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 54.48/15.91  									|
% 54.48/15.91  									+-Applying beta-rule and splitting (127), into two cases.
% 54.48/15.91  									|-Branch one:
% 54.48/15.91  									| (136) all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.48/15.91  									|
% 54.48/15.91  										| Applying alpha-rule on (136) yields:
% 54.48/15.91  										| (58) all_0_10_10 = 0
% 54.48/15.91  										| (138) s(all_0_11_11) = 0
% 54.48/15.91  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.48/15.91  										|
% 54.48/15.91  										| Instantiating formula (84) with 0, all_0_11_11 and discharging atoms s(all_0_11_11) = 0, yields:
% 54.48/15.91  										| (278)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & s(v0) = v1)
% 54.48/15.91  										|
% 54.48/15.91  										| Instantiating (278) with all_62_0_3450, all_62_1_3451 yields:
% 54.48/15.91  										| (6795)  ~ (all_62_0_3450 = 0) & s(all_62_1_3451) = all_62_0_3450
% 54.48/15.91  										|
% 54.48/15.91  										| Applying alpha-rule on (6795) yields:
% 54.48/15.91  										| (6796)  ~ (all_62_0_3450 = 0)
% 54.48/15.91  										| (6797) s(all_62_1_3451) = all_62_0_3450
% 54.48/15.91  										|
% 54.48/15.91  										| Instantiating formula (220) with all_62_0_3450, all_62_1_3451 and discharging atoms s(all_62_1_3451) = all_62_0_3450, yields:
% 54.48/15.91  										| (6798) all_62_0_3450 = 0
% 54.48/15.91  										|
% 54.48/15.91  										| Equations (6798) can reduce 6796 to:
% 54.48/15.91  										| (59) $false
% 54.48/15.91  										|
% 54.48/15.91  										|-The branch is then unsatisfiable
% 54.48/15.91  									|-Branch two:
% 54.48/15.91  									| (142)  ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0)
% 54.48/15.91  									|
% 54.48/15.91  										| Applying alpha-rule on (142) yields:
% 54.48/15.91  										| (52)  ~ (all_0_10_10 = 0)
% 54.48/15.91  										| (144) p(all_0_11_11) = all_0_10_10
% 54.48/15.91  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 54.48/15.91  										|
% 54.48/15.91  										| Instantiating formula (5867) with all_0_10_10, all_0_11_11 and discharging atoms p(all_0_11_11) = all_0_10_10, yields:
% 54.48/15.91  										| (6009)  ? [v0] :  ? [v1] : (( ~ (all_0_10_10 = 0) | ( ~ (v1 = 0) & p(v0) = v1)) & (all_0_10_10 = 0 | (v1 = 0 & p(v0) = 0)))
% 54.48/15.91  										|
% 54.48/15.91  										| Instantiating (6009) with all_62_0_3452, all_62_1_3453 yields:
% 54.48/15.91  										| (6805) ( ~ (all_0_10_10 = 0) | ( ~ (all_62_0_3452 = 0) & p(all_62_1_3453) = all_62_0_3452)) & (all_0_10_10 = 0 | (all_62_0_3452 = 0 & p(all_62_1_3453) = 0))
% 54.48/15.91  										|
% 54.48/15.91  										| Applying alpha-rule on (6805) yields:
% 54.48/15.91  										| (6806)  ~ (all_0_10_10 = 0) | ( ~ (all_62_0_3452 = 0) & p(all_62_1_3453) = all_62_0_3452)
% 54.48/15.91  										| (6807) all_0_10_10 = 0 | (all_62_0_3452 = 0 & p(all_62_1_3453) = 0)
% 54.48/15.91  										|
% 54.48/15.91  										+-Applying beta-rule and splitting (50), into two cases.
% 54.48/15.91  										|-Branch one:
% 54.48/15.91  										| (65) all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0
% 54.48/15.91  										|
% 54.48/15.91  											| Applying alpha-rule on (65) yields:
% 54.48/15.91  											| (66) all_0_12_12 = 0
% 54.48/15.91  											| (67)  ~ (all_0_14_14 = 0)
% 54.48/15.91  											| (68) q(all_0_15_15) = all_0_14_14
% 54.48/15.91  											| (69) p(all_0_13_13) = 0
% 54.48/15.91  											|
% 54.48/15.91  											| Instantiating formula (717) with all_0_14_14, all_0_15_15 and discharging atoms q(all_0_15_15) = all_0_14_14, yields:
% 54.48/15.91  											| (941)  ? [v0] :  ? [v1] : (( ~ (all_0_14_14 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_0_14_14 = 0 | (v1 = 0 & q(v0) = 0)))
% 54.48/15.91  											|
% 54.48/15.91  											| Instantiating (941) with all_76_0_3456, all_76_1_3457 yields:
% 54.48/15.91  											| (6814) ( ~ (all_0_14_14 = 0) | ( ~ (all_76_0_3456 = 0) & q(all_76_1_3457) = all_76_0_3456)) & (all_0_14_14 = 0 | (all_76_0_3456 = 0 & q(all_76_1_3457) = 0))
% 54.48/15.91  											|
% 54.48/15.91  											| Applying alpha-rule on (6814) yields:
% 54.48/15.91  											| (6815)  ~ (all_0_14_14 = 0) | ( ~ (all_76_0_3456 = 0) & q(all_76_1_3457) = all_76_0_3456)
% 54.48/15.91  											| (6816) all_0_14_14 = 0 | (all_76_0_3456 = 0 & q(all_76_1_3457) = 0)
% 54.48/15.91  											|
% 54.48/15.91  											+-Applying beta-rule and splitting (6816), into two cases.
% 54.48/15.91  											|-Branch one:
% 54.48/15.91  											| (74) all_0_14_14 = 0
% 54.48/15.91  											|
% 54.48/15.91  												| Equations (74) can reduce 67 to:
% 54.48/15.91  												| (59) $false
% 54.48/15.91  												|
% 54.48/15.91  												|-The branch is then unsatisfiable
% 54.48/15.91  											|-Branch two:
% 54.48/15.91  											| (67)  ~ (all_0_14_14 = 0)
% 54.48/15.91  											| (6820) all_76_0_3456 = 0 & q(all_76_1_3457) = 0
% 54.48/15.91  											|
% 54.48/15.91  												| Applying alpha-rule on (6820) yields:
% 54.48/15.91  												| (6821) all_76_0_3456 = 0
% 54.48/15.91  												| (6822) q(all_76_1_3457) = 0
% 54.48/15.91  												|
% 54.48/15.91  												| Instantiating formula (212) with all_76_1_3457 and discharging atoms q(all_76_1_3457) = 0, yields:
% 54.48/15.91  												| (79) $false
% 54.48/15.91  												|
% 54.48/15.91  												|-The branch is then unsatisfiable
% 54.48/15.91  										|-Branch two:
% 54.48/15.91  										| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 54.48/15.91  										|
% 54.48/15.91  											| Applying alpha-rule on (76) yields:
% 54.48/15.91  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.48/15.91  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.48/15.91  											|
% 54.48/15.91  											+-Applying beta-rule and splitting (6807), into two cases.
% 54.48/15.91  											|-Branch one:
% 54.48/15.91  											| (58) all_0_10_10 = 0
% 54.48/15.91  											|
% 54.48/15.91  												| Equations (58) can reduce 52 to:
% 54.48/15.91  												| (59) $false
% 54.48/15.91  												|
% 54.48/15.91  												|-The branch is then unsatisfiable
% 54.48/15.91  											|-Branch two:
% 54.48/15.91  											| (52)  ~ (all_0_10_10 = 0)
% 54.48/15.91  											| (6830) all_62_0_3452 = 0 & p(all_62_1_3453) = 0
% 54.48/15.91  											|
% 54.48/15.91  												| Applying alpha-rule on (6830) yields:
% 54.48/15.91  												| (6831) all_62_0_3452 = 0
% 54.48/15.91  												| (6832) p(all_62_1_3453) = 0
% 54.48/15.91  												|
% 54.48/15.91  												| Instantiating formula (78) with all_62_1_3453 and discharging atoms p(all_62_1_3453) = 0, yields:
% 54.48/15.91  												| (79) $false
% 54.48/15.91  												|
% 54.48/15.91  												|-The branch is then unsatisfiable
% 54.48/15.91  					|-Branch two:
% 54.48/15.91  					| (899)  ~ (all_0_20_20 = 0) & s(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (r(v0) = 0)
% 54.48/15.91  					|
% 54.48/15.91  						| Applying alpha-rule on (899) yields:
% 54.48/15.91  						| (34)  ~ (all_0_20_20 = 0)
% 54.48/15.91  						| (35) s(all_0_21_21) = all_0_20_20
% 54.48/15.91  						| (221)  ! [v0] :  ~ (r(v0) = 0)
% 54.48/15.91  						|
% 54.48/15.91  						+-Applying beta-rule and splitting (5870), into two cases.
% 54.48/15.91  						|-Branch one:
% 54.48/15.91  						| (5891) all_0_0_0 = 0 &  ~ (all_0_2_2 = 0) & r(all_0_3_3) = all_0_2_2 & q(all_0_1_1) = 0
% 54.48/15.91  						|
% 54.48/15.91  							| Applying alpha-rule on (5891) yields:
% 54.48/15.91  							| (63) all_0_0_0 = 0
% 54.48/15.91  							| (210)  ~ (all_0_2_2 = 0)
% 54.48/15.91  							| (211) r(all_0_3_3) = all_0_2_2
% 54.48/15.91  							| (5895) q(all_0_1_1) = 0
% 54.48/15.91  							|
% 54.48/15.91  							| Instantiating formula (717) with 0, all_0_1_1 and discharging atoms q(all_0_1_1) = 0, yields:
% 54.48/15.91  							| (733)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & q(v0) = v1)
% 54.48/15.91  							|
% 54.48/15.91  							| Instantiating (733) with all_48_0_3458, all_48_1_3459 yields:
% 54.48/15.91  							| (6844)  ~ (all_48_0_3458 = 0) & q(all_48_1_3459) = all_48_0_3458
% 54.48/15.91  							|
% 54.48/15.91  							| Applying alpha-rule on (6844) yields:
% 54.48/15.91  							| (6845)  ~ (all_48_0_3458 = 0)
% 54.48/15.91  							| (6846) q(all_48_1_3459) = all_48_0_3458
% 54.48/15.91  							|
% 54.48/15.91  							| Instantiating formula (717) with all_48_0_3458, all_48_1_3459 and discharging atoms q(all_48_1_3459) = all_48_0_3458, yields:
% 54.48/15.91  							| (6847)  ? [v0] :  ? [v1] : (( ~ (all_48_0_3458 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_48_0_3458 = 0 | (v1 = 0 & q(v0) = 0)))
% 54.48/15.91  							|
% 54.48/15.92  							| Instantiating (6847) with all_59_0_3460, all_59_1_3461 yields:
% 54.48/15.92  							| (6848) ( ~ (all_48_0_3458 = 0) | ( ~ (all_59_0_3460 = 0) & q(all_59_1_3461) = all_59_0_3460)) & (all_48_0_3458 = 0 | (all_59_0_3460 = 0 & q(all_59_1_3461) = 0))
% 54.48/15.92  							|
% 54.48/15.92  							| Applying alpha-rule on (6848) yields:
% 54.48/15.92  							| (6849)  ~ (all_48_0_3458 = 0) | ( ~ (all_59_0_3460 = 0) & q(all_59_1_3461) = all_59_0_3460)
% 54.48/15.92  							| (6850) all_48_0_3458 = 0 | (all_59_0_3460 = 0 & q(all_59_1_3461) = 0)
% 54.48/15.92  							|
% 54.48/15.92  							+-Applying beta-rule and splitting (31), into two cases.
% 54.48/15.92  							|-Branch one:
% 54.48/15.92  							| (43) ((all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_7_7) = 0 & p(all_0_9_9) = all_0_8_8) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))))
% 54.48/15.92  							|
% 54.48/15.92  								| Applying alpha-rule on (43) yields:
% 54.48/15.92  								| (44) (all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_7_7) = 0 & p(all_0_9_9) = all_0_8_8) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))
% 54.48/15.92  								| (45) (s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0))))
% 54.48/15.92  								|
% 54.48/15.92  								+-Applying beta-rule and splitting (45), into two cases.
% 54.48/15.92  								|-Branch one:
% 54.48/15.92  								| (46) s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 54.48/15.92  								|
% 54.48/15.92  									| Applying alpha-rule on (46) yields:
% 54.48/15.92  									| (47) s(all_0_11_11) = all_0_10_10
% 54.48/15.92  									| (48)  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 54.48/15.92  									| (49)  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0))
% 54.48/15.92  									| (50) (all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 54.48/15.92  									|
% 54.48/15.92  									| Instantiating formula (48) with all_0_20_20, all_0_21_21 and discharging atoms s(all_0_21_21) = all_0_20_20, yields:
% 54.48/15.92  									| (51)  ~ (all_0_10_10 = 0) | all_0_20_20 = 0
% 54.48/15.92  									|
% 54.48/15.92  									+-Applying beta-rule and splitting (6850), into two cases.
% 54.48/15.92  									|-Branch one:
% 54.48/15.92  									| (6860) all_48_0_3458 = 0
% 54.48/15.92  									|
% 54.48/15.92  										| Equations (6860) can reduce 6845 to:
% 54.48/15.92  										| (59) $false
% 54.48/15.92  										|
% 54.48/15.92  										|-The branch is then unsatisfiable
% 54.48/15.92  									|-Branch two:
% 54.48/15.92  									| (6845)  ~ (all_48_0_3458 = 0)
% 54.48/15.92  									| (6863) all_59_0_3460 = 0 & q(all_59_1_3461) = 0
% 54.48/15.92  									|
% 54.48/15.92  										+-Applying beta-rule and splitting (51), into two cases.
% 54.48/15.92  										|-Branch one:
% 54.48/15.92  										| (52)  ~ (all_0_10_10 = 0)
% 54.48/15.92  										|
% 54.48/15.92  											+-Applying beta-rule and splitting (44), into two cases.
% 54.48/15.92  											|-Branch one:
% 54.48/15.92  											| (53) all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_7_7) = 0 & p(all_0_9_9) = all_0_8_8
% 54.48/15.92  											|
% 54.48/15.92  												| Applying alpha-rule on (53) yields:
% 54.48/15.92  												| (54) all_0_6_6 = 0
% 54.48/15.92  												| (55)  ~ (all_0_8_8 = 0)
% 54.48/15.92  												| (56) s(all_0_7_7) = 0
% 54.48/15.92  												| (57) p(all_0_9_9) = all_0_8_8
% 54.48/15.92  												|
% 54.48/15.92  												| Instantiating formula (49) with all_0_7_7 and discharging atoms s(all_0_7_7) = 0, yields:
% 54.48/15.92  												| (58) all_0_10_10 = 0
% 54.48/15.92  												|
% 54.48/15.92  												| Equations (58) can reduce 52 to:
% 54.48/15.92  												| (59) $false
% 54.48/15.92  												|
% 54.48/15.92  												|-The branch is then unsatisfiable
% 54.48/15.92  											|-Branch two:
% 54.48/15.92  											| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 54.48/15.92  											|
% 54.48/15.92  												| Applying alpha-rule on (60) yields:
% 54.48/15.92  												| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.48/15.92  												| (62)  ! [v0] :  ~ (s(v0) = 0)
% 54.48/15.92  												|
% 54.48/15.92  												+-Applying beta-rule and splitting (50), into two cases.
% 54.48/15.92  												|-Branch one:
% 54.48/15.92  												| (65) all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0
% 54.48/15.92  												|
% 54.48/15.92  													| Applying alpha-rule on (65) yields:
% 54.48/15.92  													| (66) all_0_12_12 = 0
% 54.48/15.92  													| (67)  ~ (all_0_14_14 = 0)
% 54.48/15.92  													| (68) q(all_0_15_15) = all_0_14_14
% 54.48/15.92  													| (69) p(all_0_13_13) = 0
% 54.48/15.92  													|
% 54.48/15.92  													| Instantiating formula (5867) with 0, all_0_13_13 and discharging atoms p(all_0_13_13) = 0, yields:
% 54.48/15.92  													| (5930)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & p(v0) = v1)
% 54.48/15.92  													|
% 54.48/15.92  													| Instantiating (5930) with all_100_0_3466, all_100_1_3467 yields:
% 54.48/15.92  													| (6881)  ~ (all_100_0_3466 = 0) & p(all_100_1_3467) = all_100_0_3466
% 54.48/15.92  													|
% 54.48/15.92  													| Applying alpha-rule on (6881) yields:
% 54.48/15.92  													| (6882)  ~ (all_100_0_3466 = 0)
% 54.48/15.92  													| (6883) p(all_100_1_3467) = all_100_0_3466
% 54.48/15.92  													|
% 54.48/15.92  													| Instantiating formula (61) with all_100_0_3466, all_100_1_3467 and discharging atoms p(all_100_1_3467) = all_100_0_3466, yields:
% 54.48/15.92  													| (6884) all_100_0_3466 = 0
% 54.48/15.92  													|
% 54.48/15.92  													| Equations (6884) can reduce 6882 to:
% 54.48/15.92  													| (59) $false
% 54.48/15.92  													|
% 54.48/15.92  													|-The branch is then unsatisfiable
% 54.48/15.92  												|-Branch two:
% 54.48/15.92  												| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 54.48/15.92  												|
% 54.48/15.92  													| Applying alpha-rule on (76) yields:
% 54.48/15.92  													| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.48/15.92  													| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.48/15.92  													|
% 54.48/15.92  													| Instantiating formula (77) with all_48_0_3458, all_48_1_3459 and discharging atoms q(all_48_1_3459) = all_48_0_3458, yields:
% 54.48/15.92  													| (6860) all_48_0_3458 = 0
% 54.48/15.92  													|
% 54.48/15.92  													| Equations (6860) can reduce 6845 to:
% 54.48/15.92  													| (59) $false
% 54.48/15.92  													|
% 54.48/15.92  													|-The branch is then unsatisfiable
% 54.48/15.92  										|-Branch two:
% 54.48/15.92  										| (58) all_0_10_10 = 0
% 54.48/15.92  										| (81) all_0_20_20 = 0
% 54.48/15.92  										|
% 54.48/15.92  											| Equations (81) can reduce 34 to:
% 54.48/15.92  											| (59) $false
% 54.48/15.92  											|
% 54.48/15.92  											|-The branch is then unsatisfiable
% 54.48/15.92  								|-Branch two:
% 54.48/15.92  								| (83)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))
% 54.48/15.92  								|
% 54.48/15.92  									| Applying alpha-rule on (83) yields:
% 54.48/15.92  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 54.48/15.92  									| (85) (all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0))
% 54.48/15.92  									|
% 54.48/15.92  									| Instantiating formula (84) with all_0_20_20, all_0_21_21 and discharging atoms s(all_0_21_21) = all_0_20_20, yields:
% 54.48/15.92  									| (86)  ? [v0] :  ? [v1] : (( ~ (all_0_20_20 = 0) | ( ~ (v1 = 0) & s(v0) = v1)) & (all_0_20_20 = 0 | (v1 = 0 & s(v0) = 0)))
% 54.48/15.92  									|
% 54.48/15.92  									| Instantiating (86) with all_63_0_3472, all_63_1_3473 yields:
% 54.48/15.92  									| (6898) ( ~ (all_0_20_20 = 0) | ( ~ (all_63_0_3472 = 0) & s(all_63_1_3473) = all_63_0_3472)) & (all_0_20_20 = 0 | (all_63_0_3472 = 0 & s(all_63_1_3473) = 0))
% 54.48/15.92  									|
% 54.48/15.92  									| Applying alpha-rule on (6898) yields:
% 54.48/15.92  									| (6899)  ~ (all_0_20_20 = 0) | ( ~ (all_63_0_3472 = 0) & s(all_63_1_3473) = all_63_0_3472)
% 54.48/15.92  									| (6900) all_0_20_20 = 0 | (all_63_0_3472 = 0 & s(all_63_1_3473) = 0)
% 54.48/15.92  									|
% 54.48/15.92  									+-Applying beta-rule and splitting (6900), into two cases.
% 54.48/15.92  									|-Branch one:
% 54.48/15.92  									| (81) all_0_20_20 = 0
% 54.48/15.92  									|
% 54.48/15.92  										| Equations (81) can reduce 34 to:
% 54.48/15.92  										| (59) $false
% 54.48/15.92  										|
% 54.48/15.92  										|-The branch is then unsatisfiable
% 54.48/15.92  									|-Branch two:
% 54.48/15.92  									| (34)  ~ (all_0_20_20 = 0)
% 54.48/15.92  									| (6904) all_63_0_3472 = 0 & s(all_63_1_3473) = 0
% 54.48/15.92  									|
% 54.48/15.92  										| Applying alpha-rule on (6904) yields:
% 54.48/15.92  										| (6905) all_63_0_3472 = 0
% 54.48/15.92  										| (6906) s(all_63_1_3473) = 0
% 54.48/15.92  										|
% 54.48/15.92  										+-Applying beta-rule and splitting (6850), into two cases.
% 54.48/15.92  										|-Branch one:
% 54.48/15.92  										| (6860) all_48_0_3458 = 0
% 54.48/15.92  										|
% 54.48/15.92  											| Equations (6860) can reduce 6845 to:
% 54.48/15.92  											| (59) $false
% 54.48/15.92  											|
% 54.48/15.92  											|-The branch is then unsatisfiable
% 54.48/15.92  										|-Branch two:
% 54.48/15.92  										| (6845)  ~ (all_48_0_3458 = 0)
% 54.48/15.92  										| (6863) all_59_0_3460 = 0 & q(all_59_1_3461) = 0
% 54.48/15.92  										|
% 54.48/15.92  											+-Applying beta-rule and splitting (44), into two cases.
% 54.48/15.92  											|-Branch one:
% 54.48/15.92  											| (53) all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_7_7) = 0 & p(all_0_9_9) = all_0_8_8
% 54.48/15.92  											|
% 54.48/15.92  												| Applying alpha-rule on (53) yields:
% 54.48/15.92  												| (54) all_0_6_6 = 0
% 54.48/15.93  												| (55)  ~ (all_0_8_8 = 0)
% 54.48/15.93  												| (56) s(all_0_7_7) = 0
% 54.48/15.93  												| (57) p(all_0_9_9) = all_0_8_8
% 54.48/15.93  												|
% 54.48/15.93  												| Instantiating formula (5867) with all_0_8_8, all_0_9_9 and discharging atoms p(all_0_9_9) = all_0_8_8, yields:
% 54.48/15.93  												| (5963)  ? [v0] :  ? [v1] : (( ~ (all_0_8_8 = 0) | ( ~ (v1 = 0) & p(v0) = v1)) & (all_0_8_8 = 0 | (v1 = 0 & p(v0) = 0)))
% 54.48/15.93  												|
% 54.48/15.93  												| Instantiating (5963) with all_102_0_3482, all_102_1_3483 yields:
% 54.48/15.93  												| (6917) ( ~ (all_0_8_8 = 0) | ( ~ (all_102_0_3482 = 0) & p(all_102_1_3483) = all_102_0_3482)) & (all_0_8_8 = 0 | (all_102_0_3482 = 0 & p(all_102_1_3483) = 0))
% 54.48/15.93  												|
% 54.48/15.93  												| Applying alpha-rule on (6917) yields:
% 54.48/15.93  												| (6918)  ~ (all_0_8_8 = 0) | ( ~ (all_102_0_3482 = 0) & p(all_102_1_3483) = all_102_0_3482)
% 54.48/15.93  												| (6919) all_0_8_8 = 0 | (all_102_0_3482 = 0 & p(all_102_1_3483) = 0)
% 54.48/15.93  												|
% 54.48/15.93  												+-Applying beta-rule and splitting (6919), into two cases.
% 54.48/15.93  												|-Branch one:
% 54.48/15.93  												| (120) all_0_8_8 = 0
% 54.48/15.93  												|
% 54.48/15.93  													| Equations (120) can reduce 55 to:
% 54.48/15.93  													| (59) $false
% 54.48/15.93  													|
% 54.48/15.93  													|-The branch is then unsatisfiable
% 54.48/15.93  												|-Branch two:
% 54.48/15.93  												| (55)  ~ (all_0_8_8 = 0)
% 54.48/15.93  												| (6923) all_102_0_3482 = 0 & p(all_102_1_3483) = 0
% 54.48/15.93  												|
% 54.48/15.93  													| Applying alpha-rule on (6923) yields:
% 54.48/15.93  													| (6924) all_102_0_3482 = 0
% 54.48/15.93  													| (6925) p(all_102_1_3483) = 0
% 54.48/15.93  													|
% 54.48/15.93  													+-Applying beta-rule and splitting (85), into two cases.
% 54.48/15.93  													|-Branch one:
% 54.48/15.93  													| (103) all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.48/15.93  													|
% 54.48/15.93  														| Applying alpha-rule on (103) yields:
% 54.48/15.93  														| (74) all_0_14_14 = 0
% 54.48/15.93  														| (105) p(all_0_15_15) = 0
% 54.48/15.93  														| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.48/15.93  														|
% 54.48/15.93  														| Instantiating formula (77) with all_48_0_3458, all_48_1_3459 and discharging atoms q(all_48_1_3459) = all_48_0_3458, yields:
% 54.48/15.93  														| (6860) all_48_0_3458 = 0
% 54.48/15.93  														|
% 54.48/15.93  														| Equations (6860) can reduce 6845 to:
% 54.48/15.93  														| (59) $false
% 54.48/15.93  														|
% 54.48/15.93  														|-The branch is then unsatisfiable
% 54.48/15.93  													|-Branch two:
% 54.48/15.93  													| (109)  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)
% 54.48/15.93  													|
% 54.48/15.93  														| Applying alpha-rule on (109) yields:
% 54.48/15.93  														| (67)  ~ (all_0_14_14 = 0)
% 54.48/15.93  														| (68) q(all_0_15_15) = all_0_14_14
% 54.48/15.93  														| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.48/15.93  														|
% 54.48/15.93  														| Instantiating formula (78) with all_102_1_3483 and discharging atoms p(all_102_1_3483) = 0, yields:
% 54.48/15.93  														| (79) $false
% 54.48/15.93  														|
% 54.48/15.93  														|-The branch is then unsatisfiable
% 54.48/15.93  											|-Branch two:
% 54.48/15.93  											| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 54.48/15.93  											|
% 54.48/15.93  												| Applying alpha-rule on (60) yields:
% 54.48/15.93  												| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.48/15.93  												| (62)  ! [v0] :  ~ (s(v0) = 0)
% 54.48/15.93  												|
% 54.48/15.93  												| Instantiating formula (62) with all_63_1_3473 and discharging atoms s(all_63_1_3473) = 0, yields:
% 54.48/15.93  												| (79) $false
% 54.48/15.93  												|
% 54.48/15.93  												|-The branch is then unsatisfiable
% 54.48/15.93  							|-Branch two:
% 54.48/15.93  							| (126) ((all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))
% 54.48/15.93  							|
% 54.48/15.93  								| Applying alpha-rule on (126) yields:
% 54.48/15.93  								| (127) (all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0))
% 54.48/15.93  								| (128) (s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))
% 54.48/15.93  								|
% 54.48/15.93  								+-Applying beta-rule and splitting (128), into two cases.
% 54.48/15.93  								|-Branch one:
% 54.48/15.93  								| (129) s(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0)) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))
% 54.48/15.93  								|
% 54.48/15.93  									| Applying alpha-rule on (129) yields:
% 54.48/15.93  									| (130) s(all_0_13_13) = all_0_12_12
% 54.48/15.93  									| (131)  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 54.48/15.93  									| (132)  ! [v0] : (all_0_12_12 = 0 |  ~ (s(v0) = 0))
% 54.48/15.93  									| (85) (all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0))
% 54.48/15.93  									|
% 54.48/15.93  									| Instantiating formula (131) with all_0_20_20, all_0_21_21 and discharging atoms s(all_0_21_21) = all_0_20_20, yields:
% 54.48/15.93  									| (134)  ~ (all_0_12_12 = 0) | all_0_20_20 = 0
% 54.48/15.93  									|
% 54.48/15.93  									+-Applying beta-rule and splitting (6850), into two cases.
% 54.48/15.93  									|-Branch one:
% 54.48/15.93  									| (6860) all_48_0_3458 = 0
% 54.48/15.93  									|
% 54.48/15.93  										| Equations (6860) can reduce 6845 to:
% 54.48/15.93  										| (59) $false
% 54.48/15.93  										|
% 54.48/15.93  										|-The branch is then unsatisfiable
% 54.48/15.93  									|-Branch two:
% 54.48/15.93  									| (6845)  ~ (all_48_0_3458 = 0)
% 54.48/15.93  									| (6863) all_59_0_3460 = 0 & q(all_59_1_3461) = 0
% 54.48/15.93  									|
% 54.48/15.93  										+-Applying beta-rule and splitting (134), into two cases.
% 54.48/15.93  										|-Branch one:
% 54.48/15.93  										| (135)  ~ (all_0_12_12 = 0)
% 54.48/15.93  										|
% 54.48/15.93  											+-Applying beta-rule and splitting (127), into two cases.
% 54.48/15.93  											|-Branch one:
% 54.48/15.93  											| (136) all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.48/15.93  											|
% 54.48/15.93  												| Applying alpha-rule on (136) yields:
% 54.48/15.93  												| (58) all_0_10_10 = 0
% 54.48/15.93  												| (138) s(all_0_11_11) = 0
% 54.48/15.93  												| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.48/15.93  												|
% 54.48/15.93  												| Instantiating formula (132) with all_0_11_11 and discharging atoms s(all_0_11_11) = 0, yields:
% 54.48/15.93  												| (66) all_0_12_12 = 0
% 54.48/15.93  												|
% 54.48/15.93  												| Equations (66) can reduce 135 to:
% 54.48/15.93  												| (59) $false
% 54.48/15.93  												|
% 54.48/15.93  												|-The branch is then unsatisfiable
% 54.48/15.93  											|-Branch two:
% 54.48/15.93  											| (142)  ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0)
% 54.48/15.93  											|
% 54.48/15.93  												| Applying alpha-rule on (142) yields:
% 54.48/15.93  												| (52)  ~ (all_0_10_10 = 0)
% 54.48/15.93  												| (144) p(all_0_11_11) = all_0_10_10
% 54.48/15.93  												| (62)  ! [v0] :  ~ (s(v0) = 0)
% 54.48/15.93  												|
% 54.48/15.93  												| Instantiating formula (5867) with all_0_10_10, all_0_11_11 and discharging atoms p(all_0_11_11) = all_0_10_10, yields:
% 54.48/15.93  												| (6009)  ? [v0] :  ? [v1] : (( ~ (all_0_10_10 = 0) | ( ~ (v1 = 0) & p(v0) = v1)) & (all_0_10_10 = 0 | (v1 = 0 & p(v0) = 0)))
% 54.48/15.93  												|
% 54.48/15.93  												| Instantiating (6009) with all_97_0_3516, all_97_1_3517 yields:
% 54.48/15.93  												| (6966) ( ~ (all_0_10_10 = 0) | ( ~ (all_97_0_3516 = 0) & p(all_97_1_3517) = all_97_0_3516)) & (all_0_10_10 = 0 | (all_97_0_3516 = 0 & p(all_97_1_3517) = 0))
% 54.48/15.93  												|
% 54.48/15.93  												| Applying alpha-rule on (6966) yields:
% 54.48/15.93  												| (6967)  ~ (all_0_10_10 = 0) | ( ~ (all_97_0_3516 = 0) & p(all_97_1_3517) = all_97_0_3516)
% 54.48/15.93  												| (6968) all_0_10_10 = 0 | (all_97_0_3516 = 0 & p(all_97_1_3517) = 0)
% 54.48/15.93  												|
% 54.48/15.93  												+-Applying beta-rule and splitting (6968), into two cases.
% 54.48/15.93  												|-Branch one:
% 54.48/15.93  												| (58) all_0_10_10 = 0
% 54.48/15.93  												|
% 54.48/15.93  													| Equations (58) can reduce 52 to:
% 54.48/15.93  													| (59) $false
% 54.48/15.93  													|
% 54.48/15.93  													|-The branch is then unsatisfiable
% 54.48/15.93  												|-Branch two:
% 54.48/15.93  												| (52)  ~ (all_0_10_10 = 0)
% 54.48/15.93  												| (6972) all_97_0_3516 = 0 & p(all_97_1_3517) = 0
% 54.48/15.93  												|
% 54.48/15.93  													| Applying alpha-rule on (6972) yields:
% 54.48/15.93  													| (6973) all_97_0_3516 = 0
% 54.48/15.93  													| (6974) p(all_97_1_3517) = 0
% 54.48/15.93  													|
% 54.48/15.93  													+-Applying beta-rule and splitting (85), into two cases.
% 54.48/15.93  													|-Branch one:
% 54.48/15.93  													| (103) all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.48/15.93  													|
% 54.48/15.93  														| Applying alpha-rule on (103) yields:
% 54.48/15.93  														| (74) all_0_14_14 = 0
% 54.48/15.93  														| (105) p(all_0_15_15) = 0
% 54.48/15.93  														| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.48/15.93  														|
% 54.48/15.93  														| Instantiating formula (77) with all_48_0_3458, all_48_1_3459 and discharging atoms q(all_48_1_3459) = all_48_0_3458, yields:
% 54.48/15.93  														| (6860) all_48_0_3458 = 0
% 54.48/15.93  														|
% 54.48/15.94  														| Equations (6860) can reduce 6845 to:
% 54.48/15.94  														| (59) $false
% 54.48/15.94  														|
% 54.48/15.94  														|-The branch is then unsatisfiable
% 54.48/15.94  													|-Branch two:
% 54.48/15.94  													| (109)  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)
% 54.48/15.94  													|
% 54.48/15.94  														| Applying alpha-rule on (109) yields:
% 54.48/15.94  														| (67)  ~ (all_0_14_14 = 0)
% 54.48/15.94  														| (68) q(all_0_15_15) = all_0_14_14
% 54.48/15.94  														| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.48/15.94  														|
% 54.48/15.94  														| Instantiating formula (78) with all_97_1_3517 and discharging atoms p(all_97_1_3517) = 0, yields:
% 54.48/15.94  														| (79) $false
% 54.48/15.94  														|
% 54.48/15.94  														|-The branch is then unsatisfiable
% 54.48/15.94  										|-Branch two:
% 54.48/15.94  										| (66) all_0_12_12 = 0
% 54.48/15.94  										| (81) all_0_20_20 = 0
% 54.48/15.94  										|
% 54.48/15.94  											| Equations (81) can reduce 34 to:
% 54.48/15.94  											| (59) $false
% 54.48/15.94  											|
% 54.48/15.94  											|-The branch is then unsatisfiable
% 54.48/15.94  								|-Branch two:
% 54.48/15.94  								| (170)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 54.48/15.94  								|
% 54.48/15.94  									| Applying alpha-rule on (170) yields:
% 54.48/15.94  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 54.48/15.94  									| (50) (all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 54.48/15.94  									|
% 54.48/15.94  									| Instantiating formula (84) with all_0_20_20, all_0_21_21 and discharging atoms s(all_0_21_21) = all_0_20_20, yields:
% 54.48/15.94  									| (86)  ? [v0] :  ? [v1] : (( ~ (all_0_20_20 = 0) | ( ~ (v1 = 0) & s(v0) = v1)) & (all_0_20_20 = 0 | (v1 = 0 & s(v0) = 0)))
% 54.48/15.94  									|
% 54.48/15.94  									| Instantiating (86) with all_63_0_3544, all_63_1_3545 yields:
% 54.48/15.94  									| (6993) ( ~ (all_0_20_20 = 0) | ( ~ (all_63_0_3544 = 0) & s(all_63_1_3545) = all_63_0_3544)) & (all_0_20_20 = 0 | (all_63_0_3544 = 0 & s(all_63_1_3545) = 0))
% 54.48/15.94  									|
% 54.48/15.94  									| Applying alpha-rule on (6993) yields:
% 54.48/15.94  									| (6994)  ~ (all_0_20_20 = 0) | ( ~ (all_63_0_3544 = 0) & s(all_63_1_3545) = all_63_0_3544)
% 54.48/15.94  									| (6995) all_0_20_20 = 0 | (all_63_0_3544 = 0 & s(all_63_1_3545) = 0)
% 54.48/15.94  									|
% 54.48/15.94  									+-Applying beta-rule and splitting (6995), into two cases.
% 54.48/15.94  									|-Branch one:
% 54.48/15.94  									| (81) all_0_20_20 = 0
% 54.48/15.94  									|
% 54.48/15.94  										| Equations (81) can reduce 34 to:
% 54.48/15.94  										| (59) $false
% 54.48/15.94  										|
% 54.48/15.94  										|-The branch is then unsatisfiable
% 54.48/15.94  									|-Branch two:
% 54.48/15.94  									| (34)  ~ (all_0_20_20 = 0)
% 54.48/15.94  									| (6999) all_63_0_3544 = 0 & s(all_63_1_3545) = 0
% 54.48/15.94  									|
% 54.48/15.94  										| Applying alpha-rule on (6999) yields:
% 54.48/15.94  										| (7000) all_63_0_3544 = 0
% 54.48/15.94  										| (7001) s(all_63_1_3545) = 0
% 54.48/15.94  										|
% 54.48/15.94  										+-Applying beta-rule and splitting (6850), into two cases.
% 54.48/15.94  										|-Branch one:
% 54.48/15.94  										| (6860) all_48_0_3458 = 0
% 54.48/15.94  										|
% 54.48/15.94  											| Equations (6860) can reduce 6845 to:
% 54.48/15.94  											| (59) $false
% 54.48/15.94  											|
% 54.48/15.94  											|-The branch is then unsatisfiable
% 54.48/15.94  										|-Branch two:
% 54.48/15.94  										| (6845)  ~ (all_48_0_3458 = 0)
% 54.48/15.94  										| (6863) all_59_0_3460 = 0 & q(all_59_1_3461) = 0
% 54.48/15.94  										|
% 54.48/15.94  											+-Applying beta-rule and splitting (127), into two cases.
% 54.48/15.94  											|-Branch one:
% 54.48/15.94  											| (136) all_0_10_10 = 0 & s(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.48/15.94  											|
% 54.48/15.94  												| Applying alpha-rule on (136) yields:
% 54.48/15.94  												| (58) all_0_10_10 = 0
% 54.48/15.94  												| (138) s(all_0_11_11) = 0
% 54.48/15.94  												| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.48/15.94  												|
% 54.48/15.94  												+-Applying beta-rule and splitting (50), into two cases.
% 54.48/15.94  												|-Branch one:
% 54.48/15.94  												| (65) all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0
% 54.48/15.94  												|
% 54.48/15.94  													| Applying alpha-rule on (65) yields:
% 54.48/15.94  													| (66) all_0_12_12 = 0
% 54.48/15.94  													| (67)  ~ (all_0_14_14 = 0)
% 54.48/15.94  													| (68) q(all_0_15_15) = all_0_14_14
% 54.48/15.94  													| (69) p(all_0_13_13) = 0
% 54.48/15.94  													|
% 54.48/15.94  													| Instantiating formula (5867) with 0, all_0_13_13 and discharging atoms p(all_0_13_13) = 0, yields:
% 54.48/15.94  													| (5930)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & p(v0) = v1)
% 54.48/15.94  													|
% 54.48/15.94  													| Instantiating (5930) with all_129_0_3562, all_129_1_3563 yields:
% 54.48/15.94  													| (7016)  ~ (all_129_0_3562 = 0) & p(all_129_1_3563) = all_129_0_3562
% 54.48/15.94  													|
% 54.48/15.94  													| Applying alpha-rule on (7016) yields:
% 54.48/15.94  													| (7017)  ~ (all_129_0_3562 = 0)
% 54.48/15.94  													| (7018) p(all_129_1_3563) = all_129_0_3562
% 54.48/15.94  													|
% 54.48/15.94  													| Instantiating formula (61) with all_129_0_3562, all_129_1_3563 and discharging atoms p(all_129_1_3563) = all_129_0_3562, yields:
% 54.48/15.94  													| (7019) all_129_0_3562 = 0
% 54.48/15.94  													|
% 54.48/15.94  													| Equations (7019) can reduce 7017 to:
% 54.48/15.94  													| (59) $false
% 54.48/15.94  													|
% 54.48/15.94  													|-The branch is then unsatisfiable
% 54.48/15.94  												|-Branch two:
% 54.48/15.94  												| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 54.48/15.94  												|
% 54.48/15.94  													| Applying alpha-rule on (76) yields:
% 54.48/15.94  													| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.48/15.94  													| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.48/15.94  													|
% 54.48/15.94  													| Instantiating formula (77) with all_48_0_3458, all_48_1_3459 and discharging atoms q(all_48_1_3459) = all_48_0_3458, yields:
% 54.48/15.94  													| (6860) all_48_0_3458 = 0
% 54.48/15.94  													|
% 54.48/15.94  													| Equations (6860) can reduce 6845 to:
% 54.48/15.94  													| (59) $false
% 54.48/15.94  													|
% 54.48/15.94  													|-The branch is then unsatisfiable
% 54.48/15.94  											|-Branch two:
% 54.48/15.94  											| (142)  ~ (all_0_10_10 = 0) & p(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (s(v0) = 0)
% 54.48/15.94  											|
% 54.48/15.94  												| Applying alpha-rule on (142) yields:
% 54.48/15.94  												| (52)  ~ (all_0_10_10 = 0)
% 54.48/15.94  												| (144) p(all_0_11_11) = all_0_10_10
% 54.48/15.94  												| (62)  ! [v0] :  ~ (s(v0) = 0)
% 54.48/15.94  												|
% 54.48/15.94  												| Instantiating formula (62) with all_63_1_3545 and discharging atoms s(all_63_1_3545) = 0, yields:
% 54.48/15.94  												| (79) $false
% 54.48/15.94  												|
% 54.48/15.94  												|-The branch is then unsatisfiable
% 54.48/15.94  						|-Branch two:
% 54.48/15.94  						| (2985)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] :  ~ (q(v0) = 0)
% 54.48/15.94  						|
% 54.48/15.94  							| Applying alpha-rule on (2985) yields:
% 54.48/15.94  							| (41)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 54.48/15.94  							| (212)  ! [v0] :  ~ (q(v0) = 0)
% 54.48/15.94  							|
% 54.48/15.94  							| Instantiating formula (41) with all_0_4_4, all_0_5_5 and discharging atoms r(all_0_5_5) = all_0_4_4, yields:
% 54.48/15.94  							| (37) all_0_4_4 = 0
% 54.48/15.94  							|
% 54.48/15.94  							| From (37) and (28) follows:
% 54.48/15.94  							| (227) r(all_0_5_5) = 0
% 54.48/15.94  							|
% 54.48/15.94  							| Instantiating formula (221) with all_0_5_5 and discharging atoms r(all_0_5_5) = 0, yields:
% 54.48/15.94  							| (79) $false
% 54.48/15.94  							|
% 54.48/15.94  							|-The branch is then unsatisfiable
% 54.48/15.94  				|-Branch two:
% 54.48/15.94  				| (369)  ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_8_8 = 0 & s(all_0_9_9) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_8_8 = 0) & p(all_0_9_9) = all_0_8_8 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (s(v0) = 0)) & ((all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))
% 54.48/15.94  				|
% 54.48/15.94  					| Applying alpha-rule on (369) yields:
% 54.48/15.94  					| (370)  ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0))))
% 54.48/15.94  					| (371) (((all_0_8_8 = 0 & s(all_0_9_9) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_8_8 = 0) & p(all_0_9_9) = all_0_8_8 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (s(v0) = 0)) & ((all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))
% 54.48/15.95  					|
% 54.48/15.95  					+-Applying beta-rule and splitting (718), into two cases.
% 54.48/15.95  					|-Branch one:
% 54.48/15.95  					| (724) all_0_20_20 = 0 & r(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))
% 54.48/15.95  					|
% 54.48/15.95  						| Applying alpha-rule on (724) yields:
% 54.48/15.95  						| (81) all_0_20_20 = 0
% 54.48/15.95  						| (726) r(all_0_21_21) = 0
% 54.48/15.95  						| (220)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))
% 54.48/15.95  						|
% 54.48/15.95  						| Instantiating formula (370) with 0, all_0_21_21 and discharging atoms r(all_0_21_21) = 0, yields:
% 54.48/15.95  						| (377)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & r(v0) = v1)
% 54.48/15.95  						|
% 54.48/15.95  						| Instantiating (377) with all_37_0_3570, all_37_1_3571 yields:
% 54.48/15.95  						| (7045)  ~ (all_37_0_3570 = 0) & r(all_37_1_3571) = all_37_0_3570
% 54.48/15.95  						|
% 54.48/15.95  						| Applying alpha-rule on (7045) yields:
% 54.48/15.95  						| (7046)  ~ (all_37_0_3570 = 0)
% 54.48/15.95  						| (7047) r(all_37_1_3571) = all_37_0_3570
% 54.48/15.95  						|
% 54.48/15.95  						+-Applying beta-rule and splitting (5870), into two cases.
% 54.48/15.95  						|-Branch one:
% 54.48/15.95  						| (5891) all_0_0_0 = 0 &  ~ (all_0_2_2 = 0) & r(all_0_3_3) = all_0_2_2 & q(all_0_1_1) = 0
% 54.48/15.95  						|
% 54.48/15.95  							| Applying alpha-rule on (5891) yields:
% 54.48/15.95  							| (63) all_0_0_0 = 0
% 54.48/15.95  							| (210)  ~ (all_0_2_2 = 0)
% 54.48/15.95  							| (211) r(all_0_3_3) = all_0_2_2
% 54.48/15.95  							| (5895) q(all_0_1_1) = 0
% 54.48/15.95  							|
% 54.48/15.95  							| Instantiating formula (717) with 0, all_0_1_1 and discharging atoms q(all_0_1_1) = 0, yields:
% 54.48/15.95  							| (733)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & q(v0) = v1)
% 54.48/15.95  							|
% 54.48/15.95  							| Instantiating (733) with all_56_0_3574, all_56_1_3575 yields:
% 54.48/15.95  							| (7054)  ~ (all_56_0_3574 = 0) & q(all_56_1_3575) = all_56_0_3574
% 54.48/15.95  							|
% 54.48/15.95  							| Applying alpha-rule on (7054) yields:
% 54.48/15.95  							| (7055)  ~ (all_56_0_3574 = 0)
% 54.48/15.95  							| (7056) q(all_56_1_3575) = all_56_0_3574
% 54.48/15.95  							|
% 54.48/15.95  							| Instantiating formula (717) with all_56_0_3574, all_56_1_3575 and discharging atoms q(all_56_1_3575) = all_56_0_3574, yields:
% 54.48/15.95  							| (7057)  ? [v0] :  ? [v1] : (( ~ (all_56_0_3574 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_56_0_3574 = 0 | (v1 = 0 & q(v0) = 0)))
% 54.48/15.95  							|
% 54.48/15.95  							| Instantiating (7057) with all_70_0_3580, all_70_1_3581 yields:
% 54.48/15.95  							| (7058) ( ~ (all_56_0_3574 = 0) | ( ~ (all_70_0_3580 = 0) & q(all_70_1_3581) = all_70_0_3580)) & (all_56_0_3574 = 0 | (all_70_0_3580 = 0 & q(all_70_1_3581) = 0))
% 54.48/15.95  							|
% 54.48/15.95  							| Applying alpha-rule on (7058) yields:
% 54.48/15.95  							| (7059)  ~ (all_56_0_3574 = 0) | ( ~ (all_70_0_3580 = 0) & q(all_70_1_3581) = all_70_0_3580)
% 54.48/15.95  							| (7060) all_56_0_3574 = 0 | (all_70_0_3580 = 0 & q(all_70_1_3581) = 0)
% 54.48/15.95  							|
% 54.48/15.95  							+-Applying beta-rule and splitting (7060), into two cases.
% 54.48/15.95  							|-Branch one:
% 54.48/15.95  							| (7061) all_56_0_3574 = 0
% 54.48/15.95  							|
% 54.48/15.95  								| Equations (7061) can reduce 7055 to:
% 54.48/15.95  								| (59) $false
% 54.48/15.95  								|
% 54.48/15.95  								|-The branch is then unsatisfiable
% 54.48/15.95  							|-Branch two:
% 54.48/15.95  							| (7055)  ~ (all_56_0_3574 = 0)
% 54.48/15.95  							| (7064) all_70_0_3580 = 0 & q(all_70_1_3581) = 0
% 54.48/15.95  							|
% 54.48/15.95  								+-Applying beta-rule and splitting (371), into two cases.
% 54.48/15.95  								|-Branch one:
% 54.48/15.95  								| (391) ((all_0_8_8 = 0 & s(all_0_9_9) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_8_8 = 0) & p(all_0_9_9) = all_0_8_8 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))))
% 54.48/15.95  								|
% 54.48/15.95  									| Applying alpha-rule on (391) yields:
% 54.48/15.95  									| (392) (all_0_8_8 = 0 & s(all_0_9_9) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_8_8 = 0) & p(all_0_9_9) = all_0_8_8 &  ! [v0] :  ~ (s(v0) = 0))
% 54.48/15.95  									| (45) (s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0))))
% 54.48/15.95  									|
% 54.48/15.95  									+-Applying beta-rule and splitting (392), into two cases.
% 54.48/15.95  									|-Branch one:
% 54.48/15.95  									| (394) all_0_8_8 = 0 & s(all_0_9_9) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.48/15.95  									|
% 54.48/15.95  										| Applying alpha-rule on (394) yields:
% 54.48/15.95  										| (120) all_0_8_8 = 0
% 54.48/15.95  										| (396) s(all_0_9_9) = 0
% 54.48/15.95  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.48/15.95  										|
% 54.48/15.95  										+-Applying beta-rule and splitting (45), into two cases.
% 54.48/15.95  										|-Branch one:
% 54.48/15.95  										| (46) s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 54.48/15.95  										|
% 54.48/15.95  											| Applying alpha-rule on (46) yields:
% 54.48/15.95  											| (47) s(all_0_11_11) = all_0_10_10
% 54.48/15.95  											| (48)  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 54.48/15.95  											| (49)  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0))
% 54.48/15.95  											| (50) (all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 54.48/15.95  											|
% 54.48/15.95  											+-Applying beta-rule and splitting (50), into two cases.
% 54.48/15.95  											|-Branch one:
% 54.48/15.95  											| (65) all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0
% 54.48/15.95  											|
% 54.48/15.95  												| Applying alpha-rule on (65) yields:
% 54.48/15.95  												| (66) all_0_12_12 = 0
% 54.48/15.95  												| (67)  ~ (all_0_14_14 = 0)
% 54.48/15.95  												| (68) q(all_0_15_15) = all_0_14_14
% 54.48/15.95  												| (69) p(all_0_13_13) = 0
% 54.48/15.95  												|
% 54.48/15.95  												| Instantiating formula (5867) with 0, all_0_13_13 and discharging atoms p(all_0_13_13) = 0, yields:
% 54.48/15.95  												| (5930)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & p(v0) = v1)
% 54.48/15.95  												|
% 54.48/15.95  												| Instantiating (5930) with all_419_0_3706, all_419_1_3707 yields:
% 54.48/15.95  												| (7083)  ~ (all_419_0_3706 = 0) & p(all_419_1_3707) = all_419_0_3706
% 54.48/15.95  												|
% 54.48/15.95  												| Applying alpha-rule on (7083) yields:
% 54.48/15.95  												| (7084)  ~ (all_419_0_3706 = 0)
% 54.48/15.95  												| (7085) p(all_419_1_3707) = all_419_0_3706
% 54.48/15.95  												|
% 54.48/15.95  												| Instantiating formula (61) with all_419_0_3706, all_419_1_3707 and discharging atoms p(all_419_1_3707) = all_419_0_3706, yields:
% 54.48/15.95  												| (7086) all_419_0_3706 = 0
% 54.48/15.95  												|
% 54.48/15.95  												| Equations (7086) can reduce 7084 to:
% 54.48/15.95  												| (59) $false
% 54.48/15.95  												|
% 54.48/15.95  												|-The branch is then unsatisfiable
% 54.48/15.95  											|-Branch two:
% 54.48/15.95  											| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 54.48/15.95  											|
% 54.48/15.95  												| Applying alpha-rule on (76) yields:
% 54.48/15.95  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.48/15.95  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.48/15.95  												|
% 54.48/15.95  												| Instantiating formula (77) with all_56_0_3574, all_56_1_3575 and discharging atoms q(all_56_1_3575) = all_56_0_3574, yields:
% 54.48/15.95  												| (7061) all_56_0_3574 = 0
% 54.48/15.95  												|
% 54.48/15.95  												| Equations (7061) can reduce 7055 to:
% 54.48/15.95  												| (59) $false
% 54.48/15.95  												|
% 54.48/15.95  												|-The branch is then unsatisfiable
% 54.48/15.95  										|-Branch two:
% 54.48/15.95  										| (83)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))
% 54.48/15.95  										|
% 54.48/15.95  											| Applying alpha-rule on (83) yields:
% 54.48/15.95  											| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 54.48/15.95  											| (85) (all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0))
% 54.48/15.95  											|
% 54.48/15.95  											| Instantiating formula (84) with 0, all_0_9_9 and discharging atoms s(all_0_9_9) = 0, yields:
% 54.48/15.95  											| (278)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & s(v0) = v1)
% 54.48/15.95  											|
% 54.48/15.95  											| Instantiating (278) with all_290_0_3722, all_290_1_3723 yields:
% 54.48/15.95  											| (7097)  ~ (all_290_0_3722 = 0) & s(all_290_1_3723) = all_290_0_3722
% 54.48/15.95  											|
% 54.48/15.96  											| Applying alpha-rule on (7097) yields:
% 54.48/15.96  											| (7098)  ~ (all_290_0_3722 = 0)
% 54.48/15.96  											| (7099) s(all_290_1_3723) = all_290_0_3722
% 54.48/15.96  											|
% 54.48/15.96  											| Instantiating formula (220) with all_290_0_3722, all_290_1_3723 and discharging atoms s(all_290_1_3723) = all_290_0_3722, yields:
% 54.48/15.96  											| (7100) all_290_0_3722 = 0
% 54.48/15.96  											|
% 54.48/15.96  											| Equations (7100) can reduce 7098 to:
% 54.48/15.96  											| (59) $false
% 54.48/15.96  											|
% 54.48/15.96  											|-The branch is then unsatisfiable
% 54.48/15.96  									|-Branch two:
% 54.48/15.96  									| (427)  ~ (all_0_8_8 = 0) & p(all_0_9_9) = all_0_8_8 &  ! [v0] :  ~ (s(v0) = 0)
% 54.48/15.96  									|
% 54.48/15.96  										| Applying alpha-rule on (427) yields:
% 54.48/15.96  										| (55)  ~ (all_0_8_8 = 0)
% 54.48/15.96  										| (57) p(all_0_9_9) = all_0_8_8
% 54.48/15.96  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 54.48/15.96  										|
% 54.48/15.96  										+-Applying beta-rule and splitting (45), into two cases.
% 54.48/15.96  										|-Branch one:
% 54.48/15.96  										| (46) s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 54.48/15.96  										|
% 54.48/15.96  											| Applying alpha-rule on (46) yields:
% 54.48/15.96  											| (47) s(all_0_11_11) = all_0_10_10
% 54.48/15.96  											| (48)  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 54.48/15.96  											| (49)  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0))
% 54.48/15.96  											| (50) (all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 54.48/15.96  											|
% 54.48/15.96  											| Instantiating formula (220) with all_0_10_10, all_0_11_11 and discharging atoms s(all_0_11_11) = all_0_10_10, yields:
% 54.48/15.96  											| (58) all_0_10_10 = 0
% 54.48/15.96  											|
% 54.48/15.96  											| From (58) and (47) follows:
% 54.48/15.96  											| (138) s(all_0_11_11) = 0
% 54.48/15.96  											|
% 54.48/15.96  											| Instantiating formula (62) with all_0_11_11 and discharging atoms s(all_0_11_11) = 0, yields:
% 54.48/15.96  											| (79) $false
% 54.48/15.96  											|
% 54.48/15.96  											|-The branch is then unsatisfiable
% 54.48/15.96  										|-Branch two:
% 54.48/15.96  										| (83)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))
% 54.48/15.96  										|
% 54.48/15.96  											| Applying alpha-rule on (83) yields:
% 54.48/15.96  											| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 54.48/15.96  											| (85) (all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0))
% 54.48/15.96  											|
% 54.48/15.96  											| Instantiating formula (5867) with all_0_8_8, all_0_9_9 and discharging atoms p(all_0_9_9) = all_0_8_8, yields:
% 54.48/15.96  											| (5963)  ? [v0] :  ? [v1] : (( ~ (all_0_8_8 = 0) | ( ~ (v1 = 0) & p(v0) = v1)) & (all_0_8_8 = 0 | (v1 = 0 & p(v0) = 0)))
% 54.48/15.96  											|
% 54.48/15.96  											| Instantiating (5963) with all_285_0_3724, all_285_1_3725 yields:
% 54.48/15.96  											| (7118) ( ~ (all_0_8_8 = 0) | ( ~ (all_285_0_3724 = 0) & p(all_285_1_3725) = all_285_0_3724)) & (all_0_8_8 = 0 | (all_285_0_3724 = 0 & p(all_285_1_3725) = 0))
% 54.48/15.96  											|
% 54.48/15.96  											| Applying alpha-rule on (7118) yields:
% 54.48/15.96  											| (7119)  ~ (all_0_8_8 = 0) | ( ~ (all_285_0_3724 = 0) & p(all_285_1_3725) = all_285_0_3724)
% 54.48/15.96  											| (7120) all_0_8_8 = 0 | (all_285_0_3724 = 0 & p(all_285_1_3725) = 0)
% 54.48/15.96  											|
% 54.48/15.96  											+-Applying beta-rule and splitting (7120), into two cases.
% 54.48/15.96  											|-Branch one:
% 54.48/15.96  											| (120) all_0_8_8 = 0
% 54.48/15.96  											|
% 54.48/15.96  												| Equations (120) can reduce 55 to:
% 54.48/15.96  												| (59) $false
% 54.48/15.96  												|
% 54.48/15.96  												|-The branch is then unsatisfiable
% 54.48/15.96  											|-Branch two:
% 54.48/15.96  											| (55)  ~ (all_0_8_8 = 0)
% 54.48/15.96  											| (7124) all_285_0_3724 = 0 & p(all_285_1_3725) = 0
% 54.48/15.96  											|
% 54.48/15.96  												| Applying alpha-rule on (7124) yields:
% 54.48/15.96  												| (7125) all_285_0_3724 = 0
% 54.48/15.96  												| (7126) p(all_285_1_3725) = 0
% 54.48/15.96  												|
% 54.48/15.96  												+-Applying beta-rule and splitting (85), into two cases.
% 54.48/15.96  												|-Branch one:
% 54.48/15.96  												| (103) all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.48/15.96  												|
% 54.48/15.96  													| Applying alpha-rule on (103) yields:
% 54.48/15.96  													| (74) all_0_14_14 = 0
% 54.48/15.96  													| (105) p(all_0_15_15) = 0
% 54.48/15.96  													| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.48/15.96  													|
% 54.48/15.96  													| Instantiating formula (77) with all_56_0_3574, all_56_1_3575 and discharging atoms q(all_56_1_3575) = all_56_0_3574, yields:
% 54.48/15.96  													| (7061) all_56_0_3574 = 0
% 54.48/15.96  													|
% 54.48/15.96  													| Equations (7061) can reduce 7055 to:
% 54.48/15.96  													| (59) $false
% 54.48/15.96  													|
% 54.48/15.96  													|-The branch is then unsatisfiable
% 54.48/15.96  												|-Branch two:
% 54.48/15.96  												| (109)  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)
% 54.48/15.96  												|
% 54.48/15.96  													| Applying alpha-rule on (109) yields:
% 54.48/15.96  													| (67)  ~ (all_0_14_14 = 0)
% 54.48/15.96  													| (68) q(all_0_15_15) = all_0_14_14
% 54.48/15.96  													| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.48/15.96  													|
% 54.48/15.96  													| Instantiating formula (78) with all_285_1_3725 and discharging atoms p(all_285_1_3725) = 0, yields:
% 54.48/15.96  													| (79) $false
% 54.48/15.96  													|
% 54.48/15.96  													|-The branch is then unsatisfiable
% 54.48/15.96  								|-Branch two:
% 54.48/15.96  								| (468) ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (s(v0) = 0)) & ((all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))
% 54.48/15.96  								|
% 54.48/15.96  									| Applying alpha-rule on (468) yields:
% 54.48/15.96  									| (469) (all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))
% 54.48/15.96  									| (470) (s(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (s(v0) = 0)) & ((all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))
% 54.48/15.96  									|
% 54.48/15.96  									+-Applying beta-rule and splitting (469), into two cases.
% 54.48/15.96  									|-Branch one:
% 54.48/15.96  									| (471) all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14
% 54.48/15.96  									|
% 54.48/15.96  										| Applying alpha-rule on (471) yields:
% 54.48/15.96  										| (66) all_0_12_12 = 0
% 54.48/15.96  										| (67)  ~ (all_0_14_14 = 0)
% 54.48/15.96  										| (310) s(all_0_13_13) = 0
% 54.48/15.96  										| (475) p(all_0_15_15) = all_0_14_14
% 54.48/15.96  										|
% 54.48/15.96  										+-Applying beta-rule and splitting (470), into two cases.
% 54.48/15.96  										|-Branch one:
% 54.48/15.96  										| (477) s(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (s(v0) = 0)) & ((all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0)))
% 54.48/15.96  										|
% 54.48/15.96  											| Applying alpha-rule on (477) yields:
% 54.48/15.96  											| (478) s(all_0_9_9) = all_0_8_8
% 54.48/15.96  											| (479)  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 54.48/15.96  											| (480)  ! [v0] : (all_0_8_8 = 0 |  ~ (s(v0) = 0))
% 54.48/15.96  											| (481) (all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0))
% 54.48/15.96  											|
% 54.48/15.96  											| Instantiating formula (5867) with all_0_14_14, all_0_15_15 and discharging atoms p(all_0_15_15) = all_0_14_14, yields:
% 54.48/15.96  											| (6381)  ? [v0] :  ? [v1] : (( ~ (all_0_14_14 = 0) | ( ~ (v1 = 0) & p(v0) = v1)) & (all_0_14_14 = 0 | (v1 = 0 & p(v0) = 0)))
% 54.48/15.96  											|
% 54.48/15.96  											| Instantiating (6381) with all_288_0_3828, all_288_1_3829 yields:
% 54.48/15.96  											| (7152) ( ~ (all_0_14_14 = 0) | ( ~ (all_288_0_3828 = 0) & p(all_288_1_3829) = all_288_0_3828)) & (all_0_14_14 = 0 | (all_288_0_3828 = 0 & p(all_288_1_3829) = 0))
% 54.48/15.96  											|
% 54.48/15.96  											| Applying alpha-rule on (7152) yields:
% 54.48/15.96  											| (7153)  ~ (all_0_14_14 = 0) | ( ~ (all_288_0_3828 = 0) & p(all_288_1_3829) = all_288_0_3828)
% 54.48/15.96  											| (7154) all_0_14_14 = 0 | (all_288_0_3828 = 0 & p(all_288_1_3829) = 0)
% 54.48/15.96  											|
% 54.48/15.96  											+-Applying beta-rule and splitting (7154), into two cases.
% 54.48/15.96  											|-Branch one:
% 54.48/15.96  											| (74) all_0_14_14 = 0
% 54.48/15.96  											|
% 54.48/15.96  												| Equations (74) can reduce 67 to:
% 54.48/15.96  												| (59) $false
% 54.48/15.96  												|
% 54.48/15.96  												|-The branch is then unsatisfiable
% 54.48/15.96  											|-Branch two:
% 54.48/15.96  											| (67)  ~ (all_0_14_14 = 0)
% 54.48/15.96  											| (7158) all_288_0_3828 = 0 & p(all_288_1_3829) = 0
% 54.48/15.96  											|
% 54.48/15.96  												| Applying alpha-rule on (7158) yields:
% 54.48/15.96  												| (7159) all_288_0_3828 = 0
% 54.48/15.96  												| (7160) p(all_288_1_3829) = 0
% 54.48/15.96  												|
% 54.48/15.96  												+-Applying beta-rule and splitting (481), into two cases.
% 54.48/15.96  												|-Branch one:
% 54.48/15.96  												| (519) all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.48/15.96  												|
% 54.48/15.96  													| Applying alpha-rule on (519) yields:
% 54.48/15.96  													| (58) all_0_10_10 = 0
% 54.48/15.96  													| (521) p(all_0_11_11) = 0
% 54.48/15.96  													| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.48/15.96  													|
% 54.48/15.96  													| Instantiating formula (77) with all_56_0_3574, all_56_1_3575 and discharging atoms q(all_56_1_3575) = all_56_0_3574, yields:
% 54.48/15.96  													| (7061) all_56_0_3574 = 0
% 54.48/15.96  													|
% 54.48/15.97  													| Equations (7061) can reduce 7055 to:
% 54.48/15.97  													| (59) $false
% 54.48/15.97  													|
% 54.48/15.97  													|-The branch is then unsatisfiable
% 54.48/15.97  												|-Branch two:
% 54.48/15.97  												| (526)  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0)
% 54.48/15.97  												|
% 54.48/15.97  													| Applying alpha-rule on (526) yields:
% 54.48/15.97  													| (52)  ~ (all_0_10_10 = 0)
% 54.48/15.97  													| (496) q(all_0_11_11) = all_0_10_10
% 54.48/15.97  													| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.48/15.97  													|
% 54.48/15.97  													| Instantiating formula (78) with all_288_1_3829 and discharging atoms p(all_288_1_3829) = 0, yields:
% 54.48/15.97  													| (79) $false
% 54.48/15.97  													|
% 54.48/15.97  													|-The branch is then unsatisfiable
% 54.48/15.97  										|-Branch two:
% 54.48/15.97  										| (489)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 54.48/15.97  										|
% 54.48/15.97  											| Applying alpha-rule on (489) yields:
% 54.48/15.97  											| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 54.48/15.97  											| (491) (all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 54.48/15.97  											|
% 54.48/15.97  											| Instantiating formula (84) with 0, all_0_13_13 and discharging atoms s(all_0_13_13) = 0, yields:
% 54.48/15.97  											| (278)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & s(v0) = v1)
% 54.48/15.97  											|
% 54.48/15.97  											| Instantiating (278) with all_286_0_3880, all_286_1_3881 yields:
% 54.48/15.97  											| (7176)  ~ (all_286_0_3880 = 0) & s(all_286_1_3881) = all_286_0_3880
% 54.48/15.97  											|
% 54.48/15.97  											| Applying alpha-rule on (7176) yields:
% 54.48/15.97  											| (7177)  ~ (all_286_0_3880 = 0)
% 54.48/15.97  											| (7178) s(all_286_1_3881) = all_286_0_3880
% 54.48/15.97  											|
% 54.48/15.97  											| Instantiating formula (220) with all_286_0_3880, all_286_1_3881 and discharging atoms s(all_286_1_3881) = all_286_0_3880, yields:
% 54.48/15.97  											| (7179) all_286_0_3880 = 0
% 54.48/15.97  											|
% 54.48/15.97  											| Equations (7179) can reduce 7177 to:
% 54.48/15.97  											| (59) $false
% 54.48/15.97  											|
% 54.48/15.97  											|-The branch is then unsatisfiable
% 54.48/15.97  									|-Branch two:
% 54.48/15.97  									| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 54.48/15.97  									|
% 54.48/15.97  										| Applying alpha-rule on (60) yields:
% 54.48/15.97  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.48/15.97  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 54.48/15.97  										|
% 54.48/15.97  										+-Applying beta-rule and splitting (470), into two cases.
% 54.48/15.97  										|-Branch one:
% 54.48/15.97  										| (477) s(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (s(v0) = 0)) & ((all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0)))
% 54.48/15.97  										|
% 54.48/15.97  											| Applying alpha-rule on (477) yields:
% 54.48/15.97  											| (478) s(all_0_9_9) = all_0_8_8
% 54.48/15.97  											| (479)  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 54.48/15.97  											| (480)  ! [v0] : (all_0_8_8 = 0 |  ~ (s(v0) = 0))
% 54.48/15.97  											| (481) (all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0))
% 54.48/15.97  											|
% 54.48/15.97  											| Instantiating formula (220) with all_0_8_8, all_0_9_9 and discharging atoms s(all_0_9_9) = all_0_8_8, yields:
% 54.48/15.97  											| (120) all_0_8_8 = 0
% 54.48/15.97  											|
% 54.48/15.97  											| From (120) and (478) follows:
% 54.48/15.97  											| (396) s(all_0_9_9) = 0
% 54.48/15.97  											|
% 54.48/15.97  											| Instantiating formula (62) with all_0_9_9 and discharging atoms s(all_0_9_9) = 0, yields:
% 54.48/15.97  											| (79) $false
% 54.48/15.97  											|
% 54.48/15.97  											|-The branch is then unsatisfiable
% 54.48/15.97  										|-Branch two:
% 54.48/15.97  										| (489)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 54.48/15.97  										|
% 54.48/15.97  											| Applying alpha-rule on (489) yields:
% 54.48/15.97  											| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 54.48/15.97  											| (491) (all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 54.48/15.97  											|
% 54.48/15.97  											+-Applying beta-rule and splitting (491), into two cases.
% 54.48/15.97  											|-Branch one:
% 54.48/15.97  											| (493) all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0
% 54.48/15.97  											|
% 54.48/15.97  												| Applying alpha-rule on (493) yields:
% 54.48/15.97  												| (120) all_0_8_8 = 0
% 54.48/15.97  												| (52)  ~ (all_0_10_10 = 0)
% 54.48/15.97  												| (496) q(all_0_11_11) = all_0_10_10
% 54.48/15.97  												| (497) p(all_0_9_9) = 0
% 54.48/15.97  												|
% 54.48/15.97  												| Instantiating formula (5867) with 0, all_0_9_9 and discharging atoms p(all_0_9_9) = 0, yields:
% 54.48/15.97  												| (5930)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & p(v0) = v1)
% 54.48/15.97  												|
% 54.48/15.97  												| Instantiating (5930) with all_412_0_3934, all_412_1_3935 yields:
% 54.48/15.97  												| (7201)  ~ (all_412_0_3934 = 0) & p(all_412_1_3935) = all_412_0_3934
% 54.48/15.97  												|
% 54.48/15.97  												| Applying alpha-rule on (7201) yields:
% 54.48/15.97  												| (7202)  ~ (all_412_0_3934 = 0)
% 54.48/15.97  												| (7203) p(all_412_1_3935) = all_412_0_3934
% 54.48/15.97  												|
% 54.48/15.97  												| Instantiating formula (61) with all_412_0_3934, all_412_1_3935 and discharging atoms p(all_412_1_3935) = all_412_0_3934, yields:
% 54.48/15.97  												| (7204) all_412_0_3934 = 0
% 54.48/15.97  												|
% 54.48/15.97  												| Equations (7204) can reduce 7202 to:
% 54.48/15.97  												| (59) $false
% 54.48/15.97  												|
% 54.48/15.97  												|-The branch is then unsatisfiable
% 54.48/15.97  											|-Branch two:
% 54.48/15.97  											| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 54.48/15.97  											|
% 54.48/15.97  												| Applying alpha-rule on (76) yields:
% 54.48/15.97  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.48/15.97  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.48/15.97  												|
% 54.48/15.97  												| Instantiating formula (77) with all_56_0_3574, all_56_1_3575 and discharging atoms q(all_56_1_3575) = all_56_0_3574, yields:
% 54.48/15.97  												| (7061) all_56_0_3574 = 0
% 54.48/15.97  												|
% 54.48/15.97  												| Equations (7061) can reduce 7055 to:
% 54.48/15.97  												| (59) $false
% 54.48/15.97  												|
% 54.48/15.97  												|-The branch is then unsatisfiable
% 54.48/15.97  						|-Branch two:
% 54.48/15.97  						| (2985)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] :  ~ (q(v0) = 0)
% 54.48/15.97  						|
% 54.48/15.97  							| Applying alpha-rule on (2985) yields:
% 54.48/15.97  							| (41)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 54.48/15.97  							| (212)  ! [v0] :  ~ (q(v0) = 0)
% 54.48/15.97  							|
% 54.48/15.97  							| Instantiating formula (41) with all_37_0_3570, all_37_1_3571 and discharging atoms r(all_37_1_3571) = all_37_0_3570, yields:
% 54.48/15.97  							| (7214) all_37_0_3570 = 0
% 54.48/15.97  							|
% 54.48/15.97  							| Equations (7214) can reduce 7046 to:
% 54.48/15.97  							| (59) $false
% 54.48/15.97  							|
% 54.48/15.97  							|-The branch is then unsatisfiable
% 54.48/15.97  					|-Branch two:
% 54.48/15.97  					| (899)  ~ (all_0_20_20 = 0) & s(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (r(v0) = 0)
% 54.48/15.97  					|
% 54.48/15.97  						| Applying alpha-rule on (899) yields:
% 54.48/15.97  						| (34)  ~ (all_0_20_20 = 0)
% 54.48/15.97  						| (35) s(all_0_21_21) = all_0_20_20
% 54.48/15.97  						| (221)  ! [v0] :  ~ (r(v0) = 0)
% 54.48/15.97  						|
% 54.48/15.97  						+-Applying beta-rule and splitting (5870), into two cases.
% 54.48/15.97  						|-Branch one:
% 54.48/15.97  						| (5891) all_0_0_0 = 0 &  ~ (all_0_2_2 = 0) & r(all_0_3_3) = all_0_2_2 & q(all_0_1_1) = 0
% 54.48/15.97  						|
% 54.48/15.97  							| Applying alpha-rule on (5891) yields:
% 54.48/15.97  							| (63) all_0_0_0 = 0
% 54.48/15.97  							| (210)  ~ (all_0_2_2 = 0)
% 54.48/15.97  							| (211) r(all_0_3_3) = all_0_2_2
% 54.48/15.97  							| (5895) q(all_0_1_1) = 0
% 54.48/15.97  							|
% 54.48/15.97  							| Instantiating formula (370) with all_0_2_2, all_0_3_3 and discharging atoms r(all_0_3_3) = all_0_2_2, yields:
% 54.48/15.97  							| (705)  ? [v0] :  ? [v1] : (( ~ (all_0_2_2 = 0) | ( ~ (v1 = 0) & r(v0) = v1)) & (all_0_2_2 = 0 | (v1 = 0 & r(v0) = 0)))
% 54.48/15.97  							|
% 54.48/15.97  							| Instantiating (705) with all_46_0_3946, all_46_1_3947 yields:
% 54.48/15.97  							| (7226) ( ~ (all_0_2_2 = 0) | ( ~ (all_46_0_3946 = 0) & r(all_46_1_3947) = all_46_0_3946)) & (all_0_2_2 = 0 | (all_46_0_3946 = 0 & r(all_46_1_3947) = 0))
% 54.48/15.97  							|
% 54.48/15.97  							| Applying alpha-rule on (7226) yields:
% 54.48/15.97  							| (7227)  ~ (all_0_2_2 = 0) | ( ~ (all_46_0_3946 = 0) & r(all_46_1_3947) = all_46_0_3946)
% 54.48/15.97  							| (7228) all_0_2_2 = 0 | (all_46_0_3946 = 0 & r(all_46_1_3947) = 0)
% 54.48/15.97  							|
% 54.48/15.97  							+-Applying beta-rule and splitting (7228), into two cases.
% 54.48/15.97  							|-Branch one:
% 54.48/15.97  							| (39) all_0_2_2 = 0
% 54.48/15.97  							|
% 54.48/15.98  								| Equations (39) can reduce 210 to:
% 54.48/15.98  								| (59) $false
% 54.48/15.98  								|
% 54.48/15.98  								|-The branch is then unsatisfiable
% 54.48/15.98  							|-Branch two:
% 54.48/15.98  							| (210)  ~ (all_0_2_2 = 0)
% 54.48/15.98  							| (7232) all_46_0_3946 = 0 & r(all_46_1_3947) = 0
% 54.48/15.98  							|
% 54.48/15.98  								| Applying alpha-rule on (7232) yields:
% 54.48/15.98  								| (7233) all_46_0_3946 = 0
% 54.48/15.98  								| (7234) r(all_46_1_3947) = 0
% 54.48/15.98  								|
% 54.48/15.98  								| Instantiating formula (221) with all_46_1_3947 and discharging atoms r(all_46_1_3947) = 0, yields:
% 54.48/15.98  								| (79) $false
% 54.48/15.98  								|
% 54.48/15.98  								|-The branch is then unsatisfiable
% 54.48/15.98  						|-Branch two:
% 54.48/15.98  						| (2985)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] :  ~ (q(v0) = 0)
% 54.48/15.98  						|
% 54.48/15.98  							| Applying alpha-rule on (2985) yields:
% 54.48/15.98  							| (41)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 54.48/15.98  							| (212)  ! [v0] :  ~ (q(v0) = 0)
% 54.48/15.98  							|
% 54.48/15.98  							+-Applying beta-rule and splitting (371), into two cases.
% 54.48/15.98  							|-Branch one:
% 54.48/15.98  							| (391) ((all_0_8_8 = 0 & s(all_0_9_9) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_8_8 = 0) & p(all_0_9_9) = all_0_8_8 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))))
% 54.48/15.98  							|
% 54.48/15.98  								| Applying alpha-rule on (391) yields:
% 54.48/15.98  								| (392) (all_0_8_8 = 0 & s(all_0_9_9) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_8_8 = 0) & p(all_0_9_9) = all_0_8_8 &  ! [v0] :  ~ (s(v0) = 0))
% 54.48/15.98  								| (45) (s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0))))
% 54.48/15.98  								|
% 54.48/15.98  								+-Applying beta-rule and splitting (45), into two cases.
% 54.48/15.98  								|-Branch one:
% 54.48/15.98  								| (46) s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0)) & ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 54.48/15.98  								|
% 54.48/15.98  									| Applying alpha-rule on (46) yields:
% 54.48/15.98  									| (47) s(all_0_11_11) = all_0_10_10
% 54.48/15.98  									| (48)  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 54.48/15.98  									| (49)  ! [v0] : (all_0_10_10 = 0 |  ~ (s(v0) = 0))
% 54.48/15.98  									| (50) (all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 54.48/15.98  									|
% 54.48/15.98  									| Instantiating formula (48) with all_0_20_20, all_0_21_21 and discharging atoms s(all_0_21_21) = all_0_20_20, yields:
% 54.48/15.98  									| (51)  ~ (all_0_10_10 = 0) | all_0_20_20 = 0
% 54.48/15.98  									|
% 54.48/15.98  									+-Applying beta-rule and splitting (51), into two cases.
% 54.48/15.98  									|-Branch one:
% 54.48/15.98  									| (52)  ~ (all_0_10_10 = 0)
% 54.48/15.98  									|
% 54.48/15.98  										+-Applying beta-rule and splitting (392), into two cases.
% 54.48/15.98  										|-Branch one:
% 54.48/15.98  										| (394) all_0_8_8 = 0 & s(all_0_9_9) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.48/15.98  										|
% 54.48/15.98  											| Applying alpha-rule on (394) yields:
% 54.48/15.98  											| (120) all_0_8_8 = 0
% 54.48/15.98  											| (396) s(all_0_9_9) = 0
% 54.48/15.98  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.48/15.98  											|
% 54.48/15.98  											| Instantiating formula (49) with all_0_9_9 and discharging atoms s(all_0_9_9) = 0, yields:
% 54.48/15.98  											| (58) all_0_10_10 = 0
% 54.48/15.98  											|
% 54.48/15.98  											| Equations (58) can reduce 52 to:
% 54.48/15.98  											| (59) $false
% 54.48/15.98  											|
% 54.48/15.98  											|-The branch is then unsatisfiable
% 54.48/15.98  										|-Branch two:
% 54.48/15.98  										| (427)  ~ (all_0_8_8 = 0) & p(all_0_9_9) = all_0_8_8 &  ! [v0] :  ~ (s(v0) = 0)
% 54.48/15.98  										|
% 54.48/15.98  											| Applying alpha-rule on (427) yields:
% 54.48/15.98  											| (55)  ~ (all_0_8_8 = 0)
% 54.48/15.98  											| (57) p(all_0_9_9) = all_0_8_8
% 54.48/15.98  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 54.48/15.98  											|
% 54.48/15.98  											| Instantiating formula (5867) with all_0_8_8, all_0_9_9 and discharging atoms p(all_0_9_9) = all_0_8_8, yields:
% 54.48/15.98  											| (5963)  ? [v0] :  ? [v1] : (( ~ (all_0_8_8 = 0) | ( ~ (v1 = 0) & p(v0) = v1)) & (all_0_8_8 = 0 | (v1 = 0 & p(v0) = 0)))
% 54.48/15.98  											|
% 54.48/15.98  											| Instantiating (5963) with all_62_0_3948, all_62_1_3949 yields:
% 54.48/15.98  											| (7260) ( ~ (all_0_8_8 = 0) | ( ~ (all_62_0_3948 = 0) & p(all_62_1_3949) = all_62_0_3948)) & (all_0_8_8 = 0 | (all_62_0_3948 = 0 & p(all_62_1_3949) = 0))
% 54.48/15.98  											|
% 54.48/15.98  											| Applying alpha-rule on (7260) yields:
% 54.48/15.98  											| (7261)  ~ (all_0_8_8 = 0) | ( ~ (all_62_0_3948 = 0) & p(all_62_1_3949) = all_62_0_3948)
% 54.48/15.98  											| (7262) all_0_8_8 = 0 | (all_62_0_3948 = 0 & p(all_62_1_3949) = 0)
% 54.48/15.98  											|
% 54.48/15.98  											+-Applying beta-rule and splitting (50), into two cases.
% 54.48/15.98  											|-Branch one:
% 54.48/15.98  											| (65) all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 & p(all_0_13_13) = 0
% 54.48/15.98  											|
% 54.48/15.98  												| Applying alpha-rule on (65) yields:
% 54.48/15.98  												| (66) all_0_12_12 = 0
% 54.48/15.98  												| (67)  ~ (all_0_14_14 = 0)
% 54.48/15.98  												| (68) q(all_0_15_15) = all_0_14_14
% 54.48/15.98  												| (69) p(all_0_13_13) = 0
% 54.48/15.98  												|
% 54.48/15.98  												| Instantiating formula (717) with all_0_14_14, all_0_15_15 and discharging atoms q(all_0_15_15) = all_0_14_14, yields:
% 54.48/15.98  												| (941)  ? [v0] :  ? [v1] : (( ~ (all_0_14_14 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_0_14_14 = 0 | (v1 = 0 & q(v0) = 0)))
% 54.48/15.98  												|
% 54.48/15.98  												| Instantiating (941) with all_76_0_3952, all_76_1_3953 yields:
% 54.48/15.98  												| (7269) ( ~ (all_0_14_14 = 0) | ( ~ (all_76_0_3952 = 0) & q(all_76_1_3953) = all_76_0_3952)) & (all_0_14_14 = 0 | (all_76_0_3952 = 0 & q(all_76_1_3953) = 0))
% 54.48/15.98  												|
% 54.48/15.98  												| Applying alpha-rule on (7269) yields:
% 54.48/15.98  												| (7270)  ~ (all_0_14_14 = 0) | ( ~ (all_76_0_3952 = 0) & q(all_76_1_3953) = all_76_0_3952)
% 54.48/15.98  												| (7271) all_0_14_14 = 0 | (all_76_0_3952 = 0 & q(all_76_1_3953) = 0)
% 54.48/15.98  												|
% 54.48/15.98  												+-Applying beta-rule and splitting (7271), into two cases.
% 54.48/15.98  												|-Branch one:
% 54.48/15.98  												| (74) all_0_14_14 = 0
% 54.48/15.98  												|
% 54.48/15.98  													| Equations (74) can reduce 67 to:
% 54.48/15.98  													| (59) $false
% 54.48/15.98  													|
% 54.48/15.98  													|-The branch is then unsatisfiable
% 54.48/15.98  												|-Branch two:
% 54.48/15.98  												| (67)  ~ (all_0_14_14 = 0)
% 54.48/15.98  												| (7275) all_76_0_3952 = 0 & q(all_76_1_3953) = 0
% 54.48/15.98  												|
% 54.48/15.98  													| Applying alpha-rule on (7275) yields:
% 54.48/15.98  													| (7276) all_76_0_3952 = 0
% 54.48/15.98  													| (7277) q(all_76_1_3953) = 0
% 54.48/15.98  													|
% 54.48/15.98  													| Instantiating formula (212) with all_76_1_3953 and discharging atoms q(all_76_1_3953) = 0, yields:
% 54.48/15.98  													| (79) $false
% 54.48/15.98  													|
% 54.48/15.98  													|-The branch is then unsatisfiable
% 54.48/15.98  											|-Branch two:
% 54.48/15.98  											| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 54.48/15.98  											|
% 54.48/15.98  												| Applying alpha-rule on (76) yields:
% 54.48/15.98  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.48/15.98  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.48/15.98  												|
% 54.48/15.98  												+-Applying beta-rule and splitting (7262), into two cases.
% 54.48/15.98  												|-Branch one:
% 54.48/15.98  												| (120) all_0_8_8 = 0
% 54.48/15.98  												|
% 54.48/15.98  													| Equations (120) can reduce 55 to:
% 54.48/15.98  													| (59) $false
% 54.48/15.98  													|
% 54.48/15.98  													|-The branch is then unsatisfiable
% 54.48/15.98  												|-Branch two:
% 54.48/15.98  												| (55)  ~ (all_0_8_8 = 0)
% 54.48/15.98  												| (7285) all_62_0_3948 = 0 & p(all_62_1_3949) = 0
% 54.48/15.98  												|
% 54.48/15.98  													| Applying alpha-rule on (7285) yields:
% 54.48/15.98  													| (7286) all_62_0_3948 = 0
% 54.48/15.98  													| (7287) p(all_62_1_3949) = 0
% 54.48/15.98  													|
% 54.48/15.98  													| Instantiating formula (78) with all_62_1_3949 and discharging atoms p(all_62_1_3949) = 0, yields:
% 54.48/15.98  													| (79) $false
% 54.48/15.98  													|
% 54.48/15.98  													|-The branch is then unsatisfiable
% 54.48/15.98  									|-Branch two:
% 54.48/15.98  									| (58) all_0_10_10 = 0
% 54.48/15.98  									| (81) all_0_20_20 = 0
% 54.48/15.98  									|
% 54.48/15.98  										| Equations (81) can reduce 34 to:
% 54.48/15.98  										| (59) $false
% 54.48/15.98  										|
% 54.48/15.98  										|-The branch is then unsatisfiable
% 54.48/15.98  								|-Branch two:
% 54.48/15.98  								| (83)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)))
% 54.48/15.98  								|
% 54.48/15.98  									| Applying alpha-rule on (83) yields:
% 54.48/15.98  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 54.48/15.98  									| (85) (all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0))
% 54.48/15.98  									|
% 54.48/15.98  									| Instantiating formula (84) with all_0_20_20, all_0_21_21 and discharging atoms s(all_0_21_21) = all_0_20_20, yields:
% 54.48/15.98  									| (86)  ? [v0] :  ? [v1] : (( ~ (all_0_20_20 = 0) | ( ~ (v1 = 0) & s(v0) = v1)) & (all_0_20_20 = 0 | (v1 = 0 & s(v0) = 0)))
% 54.48/15.98  									|
% 54.48/15.98  									| Instantiating (86) with all_44_0_3954, all_44_1_3955 yields:
% 54.48/15.98  									| (7296) ( ~ (all_0_20_20 = 0) | ( ~ (all_44_0_3954 = 0) & s(all_44_1_3955) = all_44_0_3954)) & (all_0_20_20 = 0 | (all_44_0_3954 = 0 & s(all_44_1_3955) = 0))
% 54.48/15.98  									|
% 54.48/15.98  									| Applying alpha-rule on (7296) yields:
% 54.48/15.98  									| (7297)  ~ (all_0_20_20 = 0) | ( ~ (all_44_0_3954 = 0) & s(all_44_1_3955) = all_44_0_3954)
% 54.48/15.98  									| (7298) all_0_20_20 = 0 | (all_44_0_3954 = 0 & s(all_44_1_3955) = 0)
% 54.48/15.98  									|
% 54.48/15.98  									+-Applying beta-rule and splitting (7298), into two cases.
% 54.48/15.98  									|-Branch one:
% 54.48/15.99  									| (81) all_0_20_20 = 0
% 54.48/15.99  									|
% 54.48/15.99  										| Equations (81) can reduce 34 to:
% 54.48/15.99  										| (59) $false
% 54.48/15.99  										|
% 54.48/15.99  										|-The branch is then unsatisfiable
% 54.48/15.99  									|-Branch two:
% 54.48/15.99  									| (34)  ~ (all_0_20_20 = 0)
% 54.48/15.99  									| (7302) all_44_0_3954 = 0 & s(all_44_1_3955) = 0
% 54.48/15.99  									|
% 54.48/15.99  										| Applying alpha-rule on (7302) yields:
% 54.48/15.99  										| (7303) all_44_0_3954 = 0
% 54.48/15.99  										| (7304) s(all_44_1_3955) = 0
% 54.48/15.99  										|
% 54.48/15.99  										+-Applying beta-rule and splitting (392), into two cases.
% 54.48/15.99  										|-Branch one:
% 54.48/15.99  										| (394) all_0_8_8 = 0 & s(all_0_9_9) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.48/15.99  										|
% 54.48/15.99  											| Applying alpha-rule on (394) yields:
% 54.48/15.99  											| (120) all_0_8_8 = 0
% 54.48/15.99  											| (396) s(all_0_9_9) = 0
% 54.48/15.99  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.48/15.99  											|
% 54.48/15.99  											+-Applying beta-rule and splitting (85), into two cases.
% 54.48/15.99  											|-Branch one:
% 54.48/15.99  											| (103) all_0_14_14 = 0 & p(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.48/15.99  											|
% 54.48/15.99  												| Applying alpha-rule on (103) yields:
% 54.48/15.99  												| (74) all_0_14_14 = 0
% 54.48/15.99  												| (105) p(all_0_15_15) = 0
% 54.48/15.99  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.48/15.99  												|
% 54.48/15.99  												| Instantiating formula (5867) with 0, all_0_15_15 and discharging atoms p(all_0_15_15) = 0, yields:
% 54.48/15.99  												| (5930)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & p(v0) = v1)
% 54.48/15.99  												|
% 54.48/15.99  												| Instantiating (5930) with all_93_0_3964, all_93_1_3965 yields:
% 54.48/15.99  												| (7314)  ~ (all_93_0_3964 = 0) & p(all_93_1_3965) = all_93_0_3964
% 54.48/15.99  												|
% 54.48/15.99  												| Applying alpha-rule on (7314) yields:
% 54.48/15.99  												| (7315)  ~ (all_93_0_3964 = 0)
% 54.48/15.99  												| (7316) p(all_93_1_3965) = all_93_0_3964
% 54.48/15.99  												|
% 54.48/15.99  												| Instantiating formula (61) with all_93_0_3964, all_93_1_3965 and discharging atoms p(all_93_1_3965) = all_93_0_3964, yields:
% 54.48/15.99  												| (7317) all_93_0_3964 = 0
% 54.48/15.99  												|
% 54.48/15.99  												| Equations (7317) can reduce 7315 to:
% 54.48/15.99  												| (59) $false
% 54.48/15.99  												|
% 54.48/15.99  												|-The branch is then unsatisfiable
% 54.48/15.99  											|-Branch two:
% 54.48/15.99  											| (109)  ~ (all_0_14_14 = 0) & q(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (p(v0) = 0)
% 54.48/15.99  											|
% 54.48/15.99  												| Applying alpha-rule on (109) yields:
% 54.48/15.99  												| (67)  ~ (all_0_14_14 = 0)
% 54.48/15.99  												| (68) q(all_0_15_15) = all_0_14_14
% 54.48/15.99  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.48/15.99  												|
% 54.48/15.99  												| Instantiating formula (717) with all_0_14_14, all_0_15_15 and discharging atoms q(all_0_15_15) = all_0_14_14, yields:
% 54.48/15.99  												| (941)  ? [v0] :  ? [v1] : (( ~ (all_0_14_14 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_0_14_14 = 0 | (v1 = 0 & q(v0) = 0)))
% 54.48/15.99  												|
% 54.48/15.99  												| Instantiating (941) with all_93_0_3968, all_93_1_3969 yields:
% 54.48/15.99  												| (7324) ( ~ (all_0_14_14 = 0) | ( ~ (all_93_0_3968 = 0) & q(all_93_1_3969) = all_93_0_3968)) & (all_0_14_14 = 0 | (all_93_0_3968 = 0 & q(all_93_1_3969) = 0))
% 54.48/15.99  												|
% 54.48/15.99  												| Applying alpha-rule on (7324) yields:
% 54.48/15.99  												| (7325)  ~ (all_0_14_14 = 0) | ( ~ (all_93_0_3968 = 0) & q(all_93_1_3969) = all_93_0_3968)
% 54.48/15.99  												| (7326) all_0_14_14 = 0 | (all_93_0_3968 = 0 & q(all_93_1_3969) = 0)
% 54.48/15.99  												|
% 54.48/15.99  												+-Applying beta-rule and splitting (7326), into two cases.
% 54.48/15.99  												|-Branch one:
% 54.48/15.99  												| (74) all_0_14_14 = 0
% 54.48/15.99  												|
% 54.48/15.99  													| Equations (74) can reduce 67 to:
% 54.48/15.99  													| (59) $false
% 54.48/15.99  													|
% 54.48/15.99  													|-The branch is then unsatisfiable
% 54.48/15.99  												|-Branch two:
% 54.48/15.99  												| (67)  ~ (all_0_14_14 = 0)
% 54.48/15.99  												| (7330) all_93_0_3968 = 0 & q(all_93_1_3969) = 0
% 54.48/15.99  												|
% 54.48/15.99  													| Applying alpha-rule on (7330) yields:
% 54.48/15.99  													| (7331) all_93_0_3968 = 0
% 54.48/15.99  													| (7332) q(all_93_1_3969) = 0
% 54.48/15.99  													|
% 54.48/15.99  													| Instantiating formula (212) with all_93_1_3969 and discharging atoms q(all_93_1_3969) = 0, yields:
% 54.48/15.99  													| (79) $false
% 54.48/15.99  													|
% 54.48/15.99  													|-The branch is then unsatisfiable
% 54.48/15.99  										|-Branch two:
% 54.48/15.99  										| (427)  ~ (all_0_8_8 = 0) & p(all_0_9_9) = all_0_8_8 &  ! [v0] :  ~ (s(v0) = 0)
% 54.48/15.99  										|
% 54.48/15.99  											| Applying alpha-rule on (427) yields:
% 54.48/15.99  											| (55)  ~ (all_0_8_8 = 0)
% 54.48/15.99  											| (57) p(all_0_9_9) = all_0_8_8
% 54.48/15.99  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 54.48/15.99  											|
% 54.48/15.99  											| Instantiating formula (62) with all_44_1_3955 and discharging atoms s(all_44_1_3955) = 0, yields:
% 54.48/15.99  											| (79) $false
% 54.48/15.99  											|
% 54.48/15.99  											|-The branch is then unsatisfiable
% 54.48/15.99  							|-Branch two:
% 54.48/15.99  							| (468) ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (s(v0) = 0)) & ((all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))
% 54.48/15.99  							|
% 54.48/15.99  								| Applying alpha-rule on (468) yields:
% 54.48/15.99  								| (469) (all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))
% 54.48/15.99  								| (470) (s(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (s(v0) = 0)) & ((all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))
% 54.48/15.99  								|
% 54.48/15.99  								+-Applying beta-rule and splitting (470), into two cases.
% 54.48/15.99  								|-Branch one:
% 54.48/15.99  								| (477) s(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (s(v0) = 0)) & ((all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0)))
% 54.48/15.99  								|
% 54.48/15.99  									| Applying alpha-rule on (477) yields:
% 54.48/15.99  									| (478) s(all_0_9_9) = all_0_8_8
% 54.48/15.99  									| (479)  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 54.48/15.99  									| (480)  ! [v0] : (all_0_8_8 = 0 |  ~ (s(v0) = 0))
% 54.48/15.99  									| (481) (all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0))
% 54.48/15.99  									|
% 54.48/15.99  									| Instantiating formula (479) with all_0_20_20, all_0_21_21 and discharging atoms s(all_0_21_21) = all_0_20_20, yields:
% 54.48/15.99  									| (483)  ~ (all_0_8_8 = 0) | all_0_20_20 = 0
% 54.48/15.99  									|
% 54.48/15.99  									+-Applying beta-rule and splitting (483), into two cases.
% 54.48/15.99  									|-Branch one:
% 54.48/15.99  									| (55)  ~ (all_0_8_8 = 0)
% 54.48/15.99  									|
% 54.48/15.99  										+-Applying beta-rule and splitting (469), into two cases.
% 54.48/15.99  										|-Branch one:
% 54.48/15.99  										| (471) all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14
% 54.48/15.99  										|
% 54.48/15.99  											| Applying alpha-rule on (471) yields:
% 54.48/15.99  											| (66) all_0_12_12 = 0
% 54.48/15.99  											| (67)  ~ (all_0_14_14 = 0)
% 54.48/15.99  											| (310) s(all_0_13_13) = 0
% 54.48/15.99  											| (475) p(all_0_15_15) = all_0_14_14
% 54.48/15.99  											|
% 54.48/15.99  											| Instantiating formula (480) with all_0_13_13 and discharging atoms s(all_0_13_13) = 0, yields:
% 54.48/15.99  											| (120) all_0_8_8 = 0
% 54.48/15.99  											|
% 54.48/15.99  											| Equations (120) can reduce 55 to:
% 54.48/15.99  											| (59) $false
% 54.48/15.99  											|
% 54.48/15.99  											|-The branch is then unsatisfiable
% 54.48/15.99  										|-Branch two:
% 54.48/15.99  										| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 54.48/15.99  										|
% 54.48/15.99  											| Applying alpha-rule on (60) yields:
% 54.48/15.99  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.48/15.99  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 54.48/15.99  											|
% 54.48/15.99  											+-Applying beta-rule and splitting (481), into two cases.
% 54.48/15.99  											|-Branch one:
% 54.48/15.99  											| (519) all_0_10_10 = 0 & p(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.48/15.99  											|
% 54.48/15.99  												| Applying alpha-rule on (519) yields:
% 54.48/15.99  												| (58) all_0_10_10 = 0
% 54.48/15.99  												| (521) p(all_0_11_11) = 0
% 54.48/15.99  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.48/15.99  												|
% 54.48/15.99  												| Instantiating formula (5867) with 0, all_0_11_11 and discharging atoms p(all_0_11_11) = 0, yields:
% 54.48/15.99  												| (5930)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & p(v0) = v1)
% 54.48/15.99  												|
% 54.48/15.99  												| Instantiating (5930) with all_66_0_3972, all_66_1_3973 yields:
% 54.48/15.99  												| (7364)  ~ (all_66_0_3972 = 0) & p(all_66_1_3973) = all_66_0_3972
% 54.48/15.99  												|
% 54.48/15.99  												| Applying alpha-rule on (7364) yields:
% 54.48/15.99  												| (7365)  ~ (all_66_0_3972 = 0)
% 54.48/15.99  												| (7366) p(all_66_1_3973) = all_66_0_3972
% 54.48/15.99  												|
% 54.48/15.99  												| Instantiating formula (61) with all_66_0_3972, all_66_1_3973 and discharging atoms p(all_66_1_3973) = all_66_0_3972, yields:
% 54.48/15.99  												| (7367) all_66_0_3972 = 0
% 54.48/15.99  												|
% 54.48/16.00  												| Equations (7367) can reduce 7365 to:
% 54.48/16.00  												| (59) $false
% 54.48/16.00  												|
% 54.48/16.00  												|-The branch is then unsatisfiable
% 54.48/16.00  											|-Branch two:
% 54.48/16.00  											| (526)  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (p(v0) = 0)
% 54.48/16.00  											|
% 54.48/16.00  												| Applying alpha-rule on (526) yields:
% 54.48/16.00  												| (52)  ~ (all_0_10_10 = 0)
% 54.48/16.00  												| (496) q(all_0_11_11) = all_0_10_10
% 54.48/16.00  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.48/16.00  												|
% 54.48/16.00  												| Instantiating formula (717) with all_0_10_10, all_0_11_11 and discharging atoms q(all_0_11_11) = all_0_10_10, yields:
% 54.48/16.00  												| (1230)  ? [v0] :  ? [v1] : (( ~ (all_0_10_10 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_0_10_10 = 0 | (v1 = 0 & q(v0) = 0)))
% 54.48/16.00  												|
% 54.48/16.00  												| Instantiating (1230) with all_66_0_3974, all_66_1_3975 yields:
% 54.48/16.00  												| (7374) ( ~ (all_0_10_10 = 0) | ( ~ (all_66_0_3974 = 0) & q(all_66_1_3975) = all_66_0_3974)) & (all_0_10_10 = 0 | (all_66_0_3974 = 0 & q(all_66_1_3975) = 0))
% 54.48/16.00  												|
% 54.48/16.00  												| Applying alpha-rule on (7374) yields:
% 54.48/16.00  												| (7375)  ~ (all_0_10_10 = 0) | ( ~ (all_66_0_3974 = 0) & q(all_66_1_3975) = all_66_0_3974)
% 54.48/16.00  												| (7376) all_0_10_10 = 0 | (all_66_0_3974 = 0 & q(all_66_1_3975) = 0)
% 54.48/16.00  												|
% 54.48/16.00  												+-Applying beta-rule and splitting (7376), into two cases.
% 54.48/16.00  												|-Branch one:
% 54.48/16.00  												| (58) all_0_10_10 = 0
% 54.48/16.00  												|
% 54.48/16.00  													| Equations (58) can reduce 52 to:
% 54.48/16.00  													| (59) $false
% 54.48/16.00  													|
% 54.48/16.00  													|-The branch is then unsatisfiable
% 54.48/16.00  												|-Branch two:
% 54.48/16.00  												| (52)  ~ (all_0_10_10 = 0)
% 54.48/16.00  												| (7380) all_66_0_3974 = 0 & q(all_66_1_3975) = 0
% 54.48/16.00  												|
% 54.48/16.00  													| Applying alpha-rule on (7380) yields:
% 54.48/16.00  													| (7381) all_66_0_3974 = 0
% 54.48/16.00  													| (7382) q(all_66_1_3975) = 0
% 54.48/16.00  													|
% 54.48/16.00  													| Instantiating formula (212) with all_66_1_3975 and discharging atoms q(all_66_1_3975) = 0, yields:
% 54.48/16.00  													| (79) $false
% 54.48/16.00  													|
% 54.48/16.00  													|-The branch is then unsatisfiable
% 54.48/16.00  									|-Branch two:
% 54.48/16.00  									| (120) all_0_8_8 = 0
% 54.48/16.00  									| (81) all_0_20_20 = 0
% 54.48/16.00  									|
% 54.48/16.00  										| Equations (81) can reduce 34 to:
% 54.48/16.00  										| (59) $false
% 54.48/16.00  										|
% 54.48/16.00  										|-The branch is then unsatisfiable
% 54.48/16.00  								|-Branch two:
% 54.48/16.00  								| (489)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 54.48/16.00  								|
% 54.48/16.00  									| Applying alpha-rule on (489) yields:
% 54.48/16.00  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 54.48/16.00  									| (491) (all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 54.48/16.00  									|
% 54.48/16.00  									| Instantiating formula (84) with all_0_20_20, all_0_21_21 and discharging atoms s(all_0_21_21) = all_0_20_20, yields:
% 54.48/16.00  									| (86)  ? [v0] :  ? [v1] : (( ~ (all_0_20_20 = 0) | ( ~ (v1 = 0) & s(v0) = v1)) & (all_0_20_20 = 0 | (v1 = 0 & s(v0) = 0)))
% 54.48/16.00  									|
% 54.48/16.00  									| Instantiating (86) with all_44_0_3976, all_44_1_3977 yields:
% 54.48/16.00  									| (7391) ( ~ (all_0_20_20 = 0) | ( ~ (all_44_0_3976 = 0) & s(all_44_1_3977) = all_44_0_3976)) & (all_0_20_20 = 0 | (all_44_0_3976 = 0 & s(all_44_1_3977) = 0))
% 54.48/16.00  									|
% 54.48/16.00  									| Applying alpha-rule on (7391) yields:
% 54.48/16.00  									| (7392)  ~ (all_0_20_20 = 0) | ( ~ (all_44_0_3976 = 0) & s(all_44_1_3977) = all_44_0_3976)
% 54.48/16.00  									| (7393) all_0_20_20 = 0 | (all_44_0_3976 = 0 & s(all_44_1_3977) = 0)
% 54.48/16.00  									|
% 54.48/16.00  									+-Applying beta-rule and splitting (7393), into two cases.
% 54.48/16.00  									|-Branch one:
% 54.48/16.00  									| (81) all_0_20_20 = 0
% 54.48/16.00  									|
% 54.48/16.00  										| Equations (81) can reduce 34 to:
% 54.48/16.00  										| (59) $false
% 54.48/16.00  										|
% 54.48/16.00  										|-The branch is then unsatisfiable
% 54.48/16.00  									|-Branch two:
% 54.48/16.00  									| (34)  ~ (all_0_20_20 = 0)
% 54.48/16.00  									| (7397) all_44_0_3976 = 0 & s(all_44_1_3977) = 0
% 54.48/16.00  									|
% 54.48/16.00  										| Applying alpha-rule on (7397) yields:
% 54.48/16.00  										| (7398) all_44_0_3976 = 0
% 54.48/16.00  										| (7399) s(all_44_1_3977) = 0
% 54.48/16.00  										|
% 54.48/16.00  										+-Applying beta-rule and splitting (469), into two cases.
% 54.48/16.00  										|-Branch one:
% 54.48/16.00  										| (471) all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14
% 54.48/16.00  										|
% 54.48/16.00  											| Applying alpha-rule on (471) yields:
% 54.48/16.00  											| (66) all_0_12_12 = 0
% 54.48/16.00  											| (67)  ~ (all_0_14_14 = 0)
% 54.48/16.00  											| (310) s(all_0_13_13) = 0
% 54.48/16.00  											| (475) p(all_0_15_15) = all_0_14_14
% 54.48/16.00  											|
% 54.48/16.00  											| Instantiating formula (5867) with all_0_14_14, all_0_15_15 and discharging atoms p(all_0_15_15) = all_0_14_14, yields:
% 54.48/16.00  											| (6381)  ? [v0] :  ? [v1] : (( ~ (all_0_14_14 = 0) | ( ~ (v1 = 0) & p(v0) = v1)) & (all_0_14_14 = 0 | (v1 = 0 & p(v0) = 0)))
% 54.48/16.00  											|
% 54.48/16.00  											| Instantiating (6381) with all_72_0_3982, all_72_1_3983 yields:
% 54.48/16.00  											| (7406) ( ~ (all_0_14_14 = 0) | ( ~ (all_72_0_3982 = 0) & p(all_72_1_3983) = all_72_0_3982)) & (all_0_14_14 = 0 | (all_72_0_3982 = 0 & p(all_72_1_3983) = 0))
% 54.48/16.00  											|
% 54.48/16.00  											| Applying alpha-rule on (7406) yields:
% 54.48/16.00  											| (7407)  ~ (all_0_14_14 = 0) | ( ~ (all_72_0_3982 = 0) & p(all_72_1_3983) = all_72_0_3982)
% 54.59/16.00  											| (7408) all_0_14_14 = 0 | (all_72_0_3982 = 0 & p(all_72_1_3983) = 0)
% 54.59/16.00  											|
% 54.59/16.00  											+-Applying beta-rule and splitting (7408), into two cases.
% 54.59/16.00  											|-Branch one:
% 54.59/16.00  											| (74) all_0_14_14 = 0
% 54.59/16.00  											|
% 54.59/16.00  												| Equations (74) can reduce 67 to:
% 54.59/16.00  												| (59) $false
% 54.59/16.00  												|
% 54.59/16.00  												|-The branch is then unsatisfiable
% 54.59/16.00  											|-Branch two:
% 54.59/16.00  											| (67)  ~ (all_0_14_14 = 0)
% 54.59/16.00  											| (7412) all_72_0_3982 = 0 & p(all_72_1_3983) = 0
% 54.59/16.00  											|
% 54.59/16.00  												| Applying alpha-rule on (7412) yields:
% 54.59/16.00  												| (7413) all_72_0_3982 = 0
% 54.59/16.00  												| (7414) p(all_72_1_3983) = 0
% 54.59/16.00  												|
% 54.59/16.00  												+-Applying beta-rule and splitting (491), into two cases.
% 54.59/16.00  												|-Branch one:
% 54.59/16.00  												| (493) all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & q(all_0_11_11) = all_0_10_10 & p(all_0_9_9) = 0
% 54.59/16.00  												|
% 54.59/16.00  													| Applying alpha-rule on (493) yields:
% 54.59/16.00  													| (120) all_0_8_8 = 0
% 54.59/16.00  													| (52)  ~ (all_0_10_10 = 0)
% 54.59/16.00  													| (496) q(all_0_11_11) = all_0_10_10
% 54.59/16.00  													| (497) p(all_0_9_9) = 0
% 54.59/16.00  													|
% 54.59/16.00  													| Instantiating formula (717) with all_0_10_10, all_0_11_11 and discharging atoms q(all_0_11_11) = all_0_10_10, yields:
% 54.59/16.00  													| (1230)  ? [v0] :  ? [v1] : (( ~ (all_0_10_10 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_0_10_10 = 0 | (v1 = 0 & q(v0) = 0)))
% 54.59/16.00  													|
% 54.59/16.00  													| Instantiating (1230) with all_176_0_4016, all_176_1_4017 yields:
% 54.59/16.00  													| (7421) ( ~ (all_0_10_10 = 0) | ( ~ (all_176_0_4016 = 0) & q(all_176_1_4017) = all_176_0_4016)) & (all_0_10_10 = 0 | (all_176_0_4016 = 0 & q(all_176_1_4017) = 0))
% 54.59/16.00  													|
% 54.59/16.00  													| Applying alpha-rule on (7421) yields:
% 54.59/16.00  													| (7422)  ~ (all_0_10_10 = 0) | ( ~ (all_176_0_4016 = 0) & q(all_176_1_4017) = all_176_0_4016)
% 54.59/16.00  													| (7423) all_0_10_10 = 0 | (all_176_0_4016 = 0 & q(all_176_1_4017) = 0)
% 54.59/16.00  													|
% 54.59/16.00  													+-Applying beta-rule and splitting (7423), into two cases.
% 54.59/16.00  													|-Branch one:
% 54.59/16.00  													| (58) all_0_10_10 = 0
% 54.59/16.00  													|
% 54.59/16.00  														| Equations (58) can reduce 52 to:
% 54.59/16.00  														| (59) $false
% 54.59/16.00  														|
% 54.59/16.00  														|-The branch is then unsatisfiable
% 54.59/16.00  													|-Branch two:
% 54.59/16.00  													| (52)  ~ (all_0_10_10 = 0)
% 54.59/16.01  													| (7427) all_176_0_4016 = 0 & q(all_176_1_4017) = 0
% 54.59/16.01  													|
% 54.59/16.01  														| Applying alpha-rule on (7427) yields:
% 54.59/16.01  														| (7428) all_176_0_4016 = 0
% 54.59/16.01  														| (7429) q(all_176_1_4017) = 0
% 54.59/16.01  														|
% 54.59/16.01  														| Instantiating formula (212) with all_176_1_4017 and discharging atoms q(all_176_1_4017) = 0, yields:
% 54.59/16.01  														| (79) $false
% 54.59/16.01  														|
% 54.59/16.01  														|-The branch is then unsatisfiable
% 54.59/16.01  												|-Branch two:
% 54.59/16.01  												| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 54.59/16.01  												|
% 54.59/16.01  													| Applying alpha-rule on (76) yields:
% 54.59/16.01  													| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.59/16.01  													| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.59/16.01  													|
% 54.59/16.01  													| Instantiating formula (78) with all_72_1_3983 and discharging atoms p(all_72_1_3983) = 0, yields:
% 54.59/16.01  													| (79) $false
% 54.59/16.01  													|
% 54.59/16.01  													|-The branch is then unsatisfiable
% 54.59/16.01  										|-Branch two:
% 54.59/16.01  										| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 54.59/16.01  										|
% 54.59/16.01  											| Applying alpha-rule on (60) yields:
% 54.59/16.01  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.59/16.01  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 54.59/16.01  											|
% 54.59/16.01  											| Instantiating formula (62) with all_44_1_3977 and discharging atoms s(all_44_1_3977) = 0, yields:
% 54.59/16.01  											| (79) $false
% 54.59/16.01  											|
% 54.59/16.01  											|-The branch is then unsatisfiable
% 54.59/16.01  		|-Branch two:
% 54.59/16.01  		| (1486) ((r(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (r(v0) = 0)) & ((((all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))) | ( ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))))) & ((q(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (q(v0) = 0)) & ((all_0_10_10 = 0 & r(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (r(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 & r(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))))
% 54.59/16.01  		|
% 54.59/16.01  			| Applying alpha-rule on (1486) yields:
% 54.59/16.01  			| (1487) (r(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (r(v0) = 0)) & ((((all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))) | ( ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))))
% 54.59/16.01  			| (1488) (q(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (q(v0) = 0)) & ((all_0_10_10 = 0 & r(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (r(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 & r(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0))))
% 54.59/16.01  			|
% 54.59/16.01  			+-Applying beta-rule and splitting (1488), into two cases.
% 54.59/16.01  			|-Branch one:
% 54.59/16.01  			| (1489) q(all_0_9_9) = all_0_8_8 &  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_8_8 = 0 |  ~ (q(v0) = 0)) & ((all_0_10_10 = 0 & r(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (r(v0) = 0)))
% 54.59/16.01  			|
% 54.59/16.01  				| Applying alpha-rule on (1489) yields:
% 54.59/16.01  				| (1490) q(all_0_9_9) = all_0_8_8
% 54.59/16.01  				| (1491)  ! [v0] :  ! [v1] : ( ~ (all_0_8_8 = 0) | v1 = 0 |  ~ (q(v0) = v1))
% 54.59/16.01  				| (1492)  ! [v0] : (all_0_8_8 = 0 |  ~ (q(v0) = 0))
% 54.59/16.01  				| (1493) (all_0_10_10 = 0 & r(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (r(v0) = 0))
% 54.59/16.01  				|
% 54.59/16.01  				+-Applying beta-rule and splitting (1487), into two cases.
% 54.59/16.01  				|-Branch one:
% 54.59/16.01  				| (1494) r(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (r(v0) = 0)) & ((((all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))
% 54.59/16.01  				|
% 54.59/16.01  					| Applying alpha-rule on (1494) yields:
% 54.59/16.01  					| (1495) r(all_0_13_13) = all_0_12_12
% 54.59/16.01  					| (1496)  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (r(v0) = v1))
% 54.59/16.01  					| (1497)  ! [v0] : (all_0_12_12 = 0 |  ~ (r(v0) = 0))
% 54.59/16.01  					| (1498) (((all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))
% 54.59/16.01  					|
% 54.59/16.01  					+-Applying beta-rule and splitting (1493), into two cases.
% 54.59/16.01  					|-Branch one:
% 54.59/16.01  					| (1499) all_0_10_10 = 0 & r(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))
% 54.59/16.01  					|
% 54.59/16.01  						| Applying alpha-rule on (1499) yields:
% 54.59/16.01  						| (58) all_0_10_10 = 0
% 54.59/16.01  						| (1501) r(all_0_11_11) = 0
% 54.59/16.01  						| (220)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))
% 54.59/16.01  						|
% 54.59/16.01  						| Instantiating formula (1497) with all_0_11_11 and discharging atoms r(all_0_11_11) = 0, yields:
% 54.60/16.01  						| (66) all_0_12_12 = 0
% 54.60/16.01  						|
% 54.60/16.01  						+-Applying beta-rule and splitting (5870), into two cases.
% 54.60/16.01  						|-Branch one:
% 54.60/16.01  						| (5891) all_0_0_0 = 0 &  ~ (all_0_2_2 = 0) & r(all_0_3_3) = all_0_2_2 & q(all_0_1_1) = 0
% 54.60/16.01  						|
% 54.60/16.01  							| Applying alpha-rule on (5891) yields:
% 54.60/16.01  							| (63) all_0_0_0 = 0
% 54.60/16.01  							| (210)  ~ (all_0_2_2 = 0)
% 54.60/16.01  							| (211) r(all_0_3_3) = all_0_2_2
% 54.60/16.01  							| (5895) q(all_0_1_1) = 0
% 54.60/16.01  							|
% 54.60/16.01  							| Instantiating formula (1496) with all_0_2_2, all_0_3_3 and discharging atoms r(all_0_3_3) = all_0_2_2, yields:
% 54.60/16.02  							| (1661)  ~ (all_0_12_12 = 0) | all_0_2_2 = 0
% 54.60/16.02  							|
% 54.60/16.02  							+-Applying beta-rule and splitting (1661), into two cases.
% 54.60/16.02  							|-Branch one:
% 54.60/16.02  							| (135)  ~ (all_0_12_12 = 0)
% 54.60/16.02  							|
% 54.60/16.02  								| Equations (66) can reduce 135 to:
% 54.60/16.02  								| (59) $false
% 54.60/16.02  								|
% 54.60/16.02  								|-The branch is then unsatisfiable
% 54.60/16.02  							|-Branch two:
% 54.60/16.02  							| (66) all_0_12_12 = 0
% 54.60/16.02  							| (39) all_0_2_2 = 0
% 54.60/16.02  							|
% 54.60/16.02  								| Equations (39) can reduce 210 to:
% 54.60/16.02  								| (59) $false
% 54.60/16.02  								|
% 54.60/16.02  								|-The branch is then unsatisfiable
% 54.60/16.02  						|-Branch two:
% 54.60/16.02  						| (2985)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] :  ~ (q(v0) = 0)
% 54.60/16.02  						|
% 54.60/16.02  							| Applying alpha-rule on (2985) yields:
% 54.60/16.02  							| (41)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 54.60/16.02  							| (212)  ! [v0] :  ~ (q(v0) = 0)
% 54.60/16.02  							|
% 54.60/16.02  							+-Applying beta-rule and splitting (1498), into two cases.
% 54.60/16.02  							|-Branch one:
% 54.60/16.02  							| (1509) ((all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))
% 54.60/16.02  							|
% 54.60/16.02  								| Applying alpha-rule on (1509) yields:
% 54.60/16.02  								| (1510) (all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))
% 54.60/16.02  								| (1511) (s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))))
% 54.60/16.02  								|
% 54.60/16.02  								+-Applying beta-rule and splitting (1511), into two cases.
% 54.60/16.02  								|-Branch one:
% 54.60/16.02  								| (1512) s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 54.60/16.02  								|
% 54.60/16.02  									| Applying alpha-rule on (1512) yields:
% 54.60/16.02  									| (1513) s(all_0_17_17) = all_0_16_16
% 54.60/16.02  									| (1514)  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 54.60/16.02  									| (1515)  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0))
% 54.60/16.02  									| (1516) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 54.60/16.02  									|
% 54.60/16.02  									| Instantiating formula (220) with all_0_16_16, all_0_17_17 and discharging atoms s(all_0_17_17) = all_0_16_16, yields:
% 54.60/16.02  									| (42) all_0_16_16 = 0
% 54.60/16.02  									|
% 54.60/16.02  									| From (42) and (1513) follows:
% 54.60/16.02  									| (1518) s(all_0_17_17) = 0
% 54.60/16.02  									|
% 54.60/16.02  									+-Applying beta-rule and splitting (1510), into two cases.
% 54.60/16.02  									|-Branch one:
% 54.60/16.02  									| (1519) all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.60/16.02  									|
% 54.60/16.02  										| Applying alpha-rule on (1519) yields:
% 54.60/16.02  										| (74) all_0_14_14 = 0
% 54.60/16.02  										| (1521) s(all_0_15_15) = 0
% 54.60/16.02  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.60/16.02  										|
% 54.60/16.02  										+-Applying beta-rule and splitting (1516), into two cases.
% 54.60/16.02  										|-Branch one:
% 54.60/16.02  										| (1525) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0
% 54.60/16.02  										|
% 54.60/16.02  											| Applying alpha-rule on (1525) yields:
% 54.60/16.02  											| (33) all_0_18_18 = 0
% 54.60/16.02  											| (34)  ~ (all_0_20_20 = 0)
% 54.60/16.02  											| (1528) q(all_0_21_21) = all_0_20_20
% 54.60/16.02  											| (1529) p(all_0_19_19) = 0
% 54.60/16.02  											|
% 54.60/16.02  											| Instantiating formula (5867) with 0, all_0_19_19 and discharging atoms p(all_0_19_19) = 0, yields:
% 54.60/16.02  											| (5930)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & p(v0) = v1)
% 54.60/16.02  											|
% 54.60/16.02  											| Instantiating (5930) with all_81_0_4022, all_81_1_4023 yields:
% 54.60/16.02  											| (7491)  ~ (all_81_0_4022 = 0) & p(all_81_1_4023) = all_81_0_4022
% 54.60/16.02  											|
% 54.60/16.02  											| Applying alpha-rule on (7491) yields:
% 54.60/16.02  											| (7492)  ~ (all_81_0_4022 = 0)
% 54.60/16.02  											| (7493) p(all_81_1_4023) = all_81_0_4022
% 54.60/16.02  											|
% 54.60/16.02  											| Instantiating formula (61) with all_81_0_4022, all_81_1_4023 and discharging atoms p(all_81_1_4023) = all_81_0_4022, yields:
% 54.60/16.02  											| (7494) all_81_0_4022 = 0
% 54.60/16.02  											|
% 54.60/16.02  											| Equations (7494) can reduce 7492 to:
% 54.60/16.02  											| (59) $false
% 54.60/16.02  											|
% 54.60/16.02  											|-The branch is then unsatisfiable
% 54.60/16.02  										|-Branch two:
% 54.60/16.02  										| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 54.60/16.02  										|
% 54.60/16.02  											| Applying alpha-rule on (76) yields:
% 54.60/16.02  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.60/16.02  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.60/16.02  											|
% 54.60/16.02  											| Instantiating formula (77) with all_0_8_8, all_0_9_9 and discharging atoms q(all_0_9_9) = all_0_8_8, yields:
% 54.60/16.02  											| (120) all_0_8_8 = 0
% 54.60/16.02  											|
% 54.60/16.02  											| From (120) and (1490) follows:
% 54.60/16.02  											| (1718) q(all_0_9_9) = 0
% 54.60/16.02  											|
% 54.60/16.02  											| Instantiating formula (212) with all_0_9_9 and discharging atoms q(all_0_9_9) = 0, yields:
% 54.60/16.02  											| (79) $false
% 54.60/16.02  											|
% 54.60/16.02  											|-The branch is then unsatisfiable
% 54.60/16.02  									|-Branch two:
% 54.60/16.02  									| (1540)  ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0)
% 54.60/16.02  									|
% 54.60/16.02  										| Applying alpha-rule on (1540) yields:
% 54.60/16.02  										| (67)  ~ (all_0_14_14 = 0)
% 54.60/16.02  										| (475) p(all_0_15_15) = all_0_14_14
% 54.60/16.02  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 54.60/16.02  										|
% 54.60/16.02  										| Instantiating formula (62) with all_0_17_17 and discharging atoms s(all_0_17_17) = 0, yields:
% 54.60/16.02  										| (79) $false
% 54.60/16.02  										|
% 54.60/16.02  										|-The branch is then unsatisfiable
% 54.60/16.02  								|-Branch two:
% 54.60/16.02  								| (1545)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))
% 54.60/16.02  								|
% 54.60/16.02  									| Applying alpha-rule on (1545) yields:
% 54.60/16.02  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 54.60/16.02  									| (1547) (all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))
% 54.60/16.02  									|
% 54.60/16.02  									+-Applying beta-rule and splitting (1510), into two cases.
% 54.60/16.02  									|-Branch one:
% 54.60/16.02  									| (1519) all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.60/16.02  									|
% 54.60/16.02  										| Applying alpha-rule on (1519) yields:
% 54.60/16.02  										| (74) all_0_14_14 = 0
% 54.60/16.02  										| (1521) s(all_0_15_15) = 0
% 54.60/16.02  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.60/16.02  										|
% 54.60/16.02  										| Instantiating formula (84) with 0, all_0_15_15 and discharging atoms s(all_0_15_15) = 0, yields:
% 54.60/16.02  										| (278)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & s(v0) = v1)
% 54.60/16.02  										|
% 54.60/16.02  										| Instantiating (278) with all_66_0_4024, all_66_1_4025 yields:
% 54.60/16.02  										| (7515)  ~ (all_66_0_4024 = 0) & s(all_66_1_4025) = all_66_0_4024
% 54.60/16.02  										|
% 54.60/16.02  										| Applying alpha-rule on (7515) yields:
% 54.60/16.02  										| (7516)  ~ (all_66_0_4024 = 0)
% 54.60/16.02  										| (7517) s(all_66_1_4025) = all_66_0_4024
% 54.60/16.02  										|
% 54.60/16.02  										| Instantiating formula (220) with all_66_0_4024, all_66_1_4025 and discharging atoms s(all_66_1_4025) = all_66_0_4024, yields:
% 54.60/16.02  										| (7518) all_66_0_4024 = 0
% 54.60/16.02  										|
% 54.60/16.02  										| Equations (7518) can reduce 7516 to:
% 54.60/16.02  										| (59) $false
% 54.60/16.02  										|
% 54.60/16.02  										|-The branch is then unsatisfiable
% 54.60/16.02  									|-Branch two:
% 54.60/16.02  									| (1540)  ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0)
% 54.60/16.02  									|
% 54.60/16.02  										| Applying alpha-rule on (1540) yields:
% 54.60/16.02  										| (67)  ~ (all_0_14_14 = 0)
% 54.60/16.02  										| (475) p(all_0_15_15) = all_0_14_14
% 54.60/16.02  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 54.60/16.02  										|
% 54.60/16.02  										| Instantiating formula (5867) with all_0_14_14, all_0_15_15 and discharging atoms p(all_0_15_15) = all_0_14_14, yields:
% 54.60/16.02  										| (6381)  ? [v0] :  ? [v1] : (( ~ (all_0_14_14 = 0) | ( ~ (v1 = 0) & p(v0) = v1)) & (all_0_14_14 = 0 | (v1 = 0 & p(v0) = 0)))
% 54.60/16.02  										|
% 54.60/16.02  										| Instantiating (6381) with all_66_0_4026, all_66_1_4027 yields:
% 54.60/16.02  										| (7525) ( ~ (all_0_14_14 = 0) | ( ~ (all_66_0_4026 = 0) & p(all_66_1_4027) = all_66_0_4026)) & (all_0_14_14 = 0 | (all_66_0_4026 = 0 & p(all_66_1_4027) = 0))
% 54.60/16.02  										|
% 54.60/16.02  										| Applying alpha-rule on (7525) yields:
% 54.60/16.02  										| (7526)  ~ (all_0_14_14 = 0) | ( ~ (all_66_0_4026 = 0) & p(all_66_1_4027) = all_66_0_4026)
% 54.60/16.02  										| (7527) all_0_14_14 = 0 | (all_66_0_4026 = 0 & p(all_66_1_4027) = 0)
% 54.60/16.02  										|
% 54.60/16.02  										+-Applying beta-rule and splitting (1547), into two cases.
% 54.60/16.02  										|-Branch one:
% 54.60/16.03  										| (1563) all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.60/16.03  										|
% 54.60/16.03  											| Applying alpha-rule on (1563) yields:
% 54.60/16.03  											| (81) all_0_20_20 = 0
% 54.60/16.03  											| (1565) p(all_0_21_21) = 0
% 54.60/16.03  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.60/16.03  											|
% 54.60/16.03  											| Instantiating formula (77) with all_0_8_8, all_0_9_9 and discharging atoms q(all_0_9_9) = all_0_8_8, yields:
% 54.60/16.03  											| (120) all_0_8_8 = 0
% 54.60/16.03  											|
% 54.60/16.03  											| From (120) and (1490) follows:
% 54.60/16.03  											| (1718) q(all_0_9_9) = 0
% 54.60/16.03  											|
% 54.60/16.03  											| Instantiating formula (212) with all_0_9_9 and discharging atoms q(all_0_9_9) = 0, yields:
% 54.60/16.03  											| (79) $false
% 54.60/16.03  											|
% 54.60/16.03  											|-The branch is then unsatisfiable
% 54.60/16.03  										|-Branch two:
% 54.60/16.03  										| (1573)  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)
% 54.60/16.03  										|
% 54.60/16.03  											| Applying alpha-rule on (1573) yields:
% 54.60/16.03  											| (34)  ~ (all_0_20_20 = 0)
% 54.60/16.03  											| (1528) q(all_0_21_21) = all_0_20_20
% 54.60/16.03  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.60/16.03  											|
% 54.60/16.03  											+-Applying beta-rule and splitting (7527), into two cases.
% 54.60/16.03  											|-Branch one:
% 54.60/16.03  											| (74) all_0_14_14 = 0
% 54.60/16.03  											|
% 54.60/16.03  												| Equations (74) can reduce 67 to:
% 54.60/16.03  												| (59) $false
% 54.60/16.03  												|
% 54.60/16.03  												|-The branch is then unsatisfiable
% 54.60/16.03  											|-Branch two:
% 54.60/16.03  											| (67)  ~ (all_0_14_14 = 0)
% 54.62/16.03  											| (7542) all_66_0_4026 = 0 & p(all_66_1_4027) = 0
% 54.62/16.03  											|
% 54.62/16.03  												| Applying alpha-rule on (7542) yields:
% 54.62/16.03  												| (7543) all_66_0_4026 = 0
% 54.62/16.03  												| (7544) p(all_66_1_4027) = 0
% 54.62/16.03  												|
% 54.62/16.03  												| Instantiating formula (78) with all_66_1_4027 and discharging atoms p(all_66_1_4027) = 0, yields:
% 54.62/16.03  												| (79) $false
% 54.62/16.03  												|
% 54.62/16.03  												|-The branch is then unsatisfiable
% 54.62/16.03  							|-Branch two:
% 54.62/16.03  							| (1583) ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))
% 54.62/16.03  							|
% 54.62/16.03  								| Applying alpha-rule on (1583) yields:
% 54.62/16.03  								| (1584) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))
% 54.62/16.03  								| (1585) (s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))
% 54.62/16.03  								|
% 54.62/16.03  								+-Applying beta-rule and splitting (1585), into two cases.
% 54.62/16.03  								|-Branch one:
% 54.62/16.03  								| (1586) s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))
% 54.62/16.03  								|
% 54.62/16.03  									| Applying alpha-rule on (1586) yields:
% 54.62/16.03  									| (1587) s(all_0_15_15) = all_0_14_14
% 54.62/16.03  									| (1588)  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 54.62/16.03  									| (1589)  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0))
% 54.62/16.03  									| (1590) (all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0))
% 54.62/16.03  									|
% 54.62/16.03  									| Instantiating formula (220) with all_0_14_14, all_0_15_15 and discharging atoms s(all_0_15_15) = all_0_14_14, yields:
% 54.62/16.03  									| (74) all_0_14_14 = 0
% 54.62/16.03  									|
% 54.62/16.03  									| From (74) and (1587) follows:
% 54.62/16.03  									| (1521) s(all_0_15_15) = 0
% 54.62/16.03  									|
% 54.62/16.03  									+-Applying beta-rule and splitting (1584), into two cases.
% 54.62/16.03  									|-Branch one:
% 54.62/16.03  									| (1593) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20
% 54.62/16.03  									|
% 54.62/16.03  										| Applying alpha-rule on (1593) yields:
% 54.62/16.03  										| (33) all_0_18_18 = 0
% 54.62/16.03  										| (34)  ~ (all_0_20_20 = 0)
% 54.62/16.03  										| (1596) s(all_0_19_19) = 0
% 54.62/16.03  										| (1597) p(all_0_21_21) = all_0_20_20
% 54.62/16.03  										|
% 54.62/16.03  										| Instantiating formula (5867) with all_0_20_20, all_0_21_21 and discharging atoms p(all_0_21_21) = all_0_20_20, yields:
% 54.62/16.03  										| (7561)  ? [v0] :  ? [v1] : (( ~ (all_0_20_20 = 0) | ( ~ (v1 = 0) & p(v0) = v1)) & (all_0_20_20 = 0 | (v1 = 0 & p(v0) = 0)))
% 54.62/16.03  										|
% 54.62/16.03  										| Instantiating (7561) with all_73_0_4028, all_73_1_4029 yields:
% 54.62/16.03  										| (7562) ( ~ (all_0_20_20 = 0) | ( ~ (all_73_0_4028 = 0) & p(all_73_1_4029) = all_73_0_4028)) & (all_0_20_20 = 0 | (all_73_0_4028 = 0 & p(all_73_1_4029) = 0))
% 54.62/16.03  										|
% 54.62/16.03  										| Applying alpha-rule on (7562) yields:
% 54.62/16.03  										| (7563)  ~ (all_0_20_20 = 0) | ( ~ (all_73_0_4028 = 0) & p(all_73_1_4029) = all_73_0_4028)
% 54.62/16.03  										| (7564) all_0_20_20 = 0 | (all_73_0_4028 = 0 & p(all_73_1_4029) = 0)
% 54.62/16.03  										|
% 54.62/16.03  										+-Applying beta-rule and splitting (1590), into two cases.
% 54.62/16.03  										|-Branch one:
% 54.62/16.03  										| (1599) all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.62/16.03  										|
% 54.62/16.03  											| Applying alpha-rule on (1599) yields:
% 54.62/16.03  											| (42) all_0_16_16 = 0
% 54.62/16.03  											| (1601) p(all_0_17_17) = 0
% 54.62/16.03  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.62/16.03  											|
% 54.62/16.03  											| Instantiating formula (77) with all_0_8_8, all_0_9_9 and discharging atoms q(all_0_9_9) = all_0_8_8, yields:
% 54.62/16.03  											| (120) all_0_8_8 = 0
% 54.62/16.03  											|
% 54.62/16.03  											| From (120) and (1490) follows:
% 54.62/16.03  											| (1718) q(all_0_9_9) = 0
% 54.62/16.03  											|
% 54.62/16.03  											| Instantiating formula (212) with all_0_9_9 and discharging atoms q(all_0_9_9) = 0, yields:
% 54.62/16.03  											| (79) $false
% 54.62/16.03  											|
% 54.62/16.03  											|-The branch is then unsatisfiable
% 54.62/16.03  										|-Branch two:
% 54.62/16.03  										| (1609)  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)
% 54.62/16.03  										|
% 54.62/16.03  											| Applying alpha-rule on (1609) yields:
% 54.62/16.03  											| (71)  ~ (all_0_16_16 = 0)
% 54.62/16.03  											| (23) q(all_0_17_17) = all_0_16_16
% 54.62/16.03  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.62/16.03  											|
% 54.62/16.03  											+-Applying beta-rule and splitting (7564), into two cases.
% 54.62/16.03  											|-Branch one:
% 54.62/16.03  											| (81) all_0_20_20 = 0
% 54.62/16.03  											|
% 54.62/16.03  												| Equations (81) can reduce 34 to:
% 54.62/16.03  												| (59) $false
% 54.62/16.03  												|
% 54.62/16.03  												|-The branch is then unsatisfiable
% 54.62/16.03  											|-Branch two:
% 54.62/16.03  											| (34)  ~ (all_0_20_20 = 0)
% 54.62/16.03  											| (7579) all_73_0_4028 = 0 & p(all_73_1_4029) = 0
% 54.62/16.03  											|
% 54.62/16.03  												| Applying alpha-rule on (7579) yields:
% 54.62/16.03  												| (7580) all_73_0_4028 = 0
% 54.62/16.03  												| (7581) p(all_73_1_4029) = 0
% 54.62/16.03  												|
% 54.62/16.03  												| Instantiating formula (78) with all_73_1_4029 and discharging atoms p(all_73_1_4029) = 0, yields:
% 54.62/16.03  												| (79) $false
% 54.62/16.03  												|
% 54.62/16.03  												|-The branch is then unsatisfiable
% 54.62/16.03  									|-Branch two:
% 54.62/16.03  									| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 54.62/16.03  									|
% 54.62/16.03  										| Applying alpha-rule on (60) yields:
% 54.62/16.03  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.62/16.03  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 54.62/16.03  										|
% 54.62/16.03  										| Instantiating formula (62) with all_0_15_15 and discharging atoms s(all_0_15_15) = 0, yields:
% 54.62/16.03  										| (79) $false
% 54.62/16.03  										|
% 54.62/16.03  										|-The branch is then unsatisfiable
% 54.62/16.03  								|-Branch two:
% 54.62/16.03  								| (1623)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 54.62/16.03  								|
% 54.62/16.03  									| Applying alpha-rule on (1623) yields:
% 54.62/16.03  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 54.62/16.03  									| (1625) (all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 54.62/16.03  									|
% 54.62/16.03  									+-Applying beta-rule and splitting (1584), into two cases.
% 54.62/16.03  									|-Branch one:
% 54.62/16.03  									| (1593) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20
% 54.62/16.03  									|
% 54.62/16.03  										| Applying alpha-rule on (1593) yields:
% 54.62/16.03  										| (33) all_0_18_18 = 0
% 54.62/16.03  										| (34)  ~ (all_0_20_20 = 0)
% 54.62/16.03  										| (1596) s(all_0_19_19) = 0
% 54.62/16.03  										| (1597) p(all_0_21_21) = all_0_20_20
% 54.62/16.03  										|
% 54.62/16.03  										| Instantiating formula (84) with 0, all_0_19_19 and discharging atoms s(all_0_19_19) = 0, yields:
% 54.62/16.03  										| (278)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & s(v0) = v1)
% 54.62/16.03  										|
% 54.62/16.03  										| Instantiating (278) with all_66_0_4032, all_66_1_4033 yields:
% 54.62/16.03  										| (7596)  ~ (all_66_0_4032 = 0) & s(all_66_1_4033) = all_66_0_4032
% 54.62/16.03  										|
% 54.62/16.03  										| Applying alpha-rule on (7596) yields:
% 54.62/16.03  										| (7597)  ~ (all_66_0_4032 = 0)
% 54.62/16.04  										| (7598) s(all_66_1_4033) = all_66_0_4032
% 54.62/16.04  										|
% 54.62/16.04  										| Instantiating formula (220) with all_66_0_4032, all_66_1_4033 and discharging atoms s(all_66_1_4033) = all_66_0_4032, yields:
% 54.62/16.04  										| (7599) all_66_0_4032 = 0
% 54.62/16.04  										|
% 54.62/16.04  										| Equations (7599) can reduce 7597 to:
% 54.62/16.04  										| (59) $false
% 54.62/16.04  										|
% 54.62/16.04  										|-The branch is then unsatisfiable
% 54.62/16.04  									|-Branch two:
% 54.62/16.04  									| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 54.62/16.04  									|
% 54.62/16.04  										| Applying alpha-rule on (60) yields:
% 54.62/16.04  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.62/16.04  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 54.62/16.04  										|
% 54.62/16.04  										+-Applying beta-rule and splitting (1625), into two cases.
% 54.62/16.04  										|-Branch one:
% 54.62/16.04  										| (1642) all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0
% 54.62/16.04  										|
% 54.62/16.04  											| Applying alpha-rule on (1642) yields:
% 54.62/16.04  											| (74) all_0_14_14 = 0
% 54.62/16.04  											| (71)  ~ (all_0_16_16 = 0)
% 54.62/16.04  											| (23) q(all_0_17_17) = all_0_16_16
% 54.62/16.04  											| (105) p(all_0_15_15) = 0
% 54.62/16.04  											|
% 54.62/16.04  											| Instantiating formula (5867) with 0, all_0_15_15 and discharging atoms p(all_0_15_15) = 0, yields:
% 54.62/16.04  											| (5930)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & p(v0) = v1)
% 54.62/16.04  											|
% 54.62/16.04  											| Instantiating (5930) with all_69_0_4034, all_69_1_4035 yields:
% 54.62/16.04  											| (7610)  ~ (all_69_0_4034 = 0) & p(all_69_1_4035) = all_69_0_4034
% 54.62/16.04  											|
% 54.62/16.04  											| Applying alpha-rule on (7610) yields:
% 54.62/16.04  											| (7611)  ~ (all_69_0_4034 = 0)
% 54.62/16.04  											| (7612) p(all_69_1_4035) = all_69_0_4034
% 54.62/16.04  											|
% 54.62/16.04  											| Instantiating formula (61) with all_69_0_4034, all_69_1_4035 and discharging atoms p(all_69_1_4035) = all_69_0_4034, yields:
% 54.62/16.04  											| (7613) all_69_0_4034 = 0
% 54.62/16.04  											|
% 54.62/16.04  											| Equations (7613) can reduce 7611 to:
% 54.62/16.04  											| (59) $false
% 54.62/16.04  											|
% 54.62/16.04  											|-The branch is then unsatisfiable
% 54.62/16.04  										|-Branch two:
% 54.62/16.04  										| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 54.62/16.04  										|
% 54.62/16.04  											| Applying alpha-rule on (76) yields:
% 54.62/16.04  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.62/16.04  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.62/16.04  											|
% 54.62/16.04  											| Instantiating formula (77) with all_0_8_8, all_0_9_9 and discharging atoms q(all_0_9_9) = all_0_8_8, yields:
% 54.62/16.04  											| (120) all_0_8_8 = 0
% 54.62/16.04  											|
% 54.62/16.04  											| From (120) and (1490) follows:
% 54.62/16.04  											| (1718) q(all_0_9_9) = 0
% 54.62/16.04  											|
% 54.62/16.04  											| Instantiating formula (212) with all_0_9_9 and discharging atoms q(all_0_9_9) = 0, yields:
% 54.62/16.04  											| (79) $false
% 54.62/16.04  											|
% 54.62/16.04  											|-The branch is then unsatisfiable
% 54.62/16.04  					|-Branch two:
% 54.62/16.04  					| (1667)  ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (r(v0) = 0)
% 54.62/16.04  					|
% 54.62/16.04  						| Applying alpha-rule on (1667) yields:
% 54.62/16.04  						| (52)  ~ (all_0_10_10 = 0)
% 54.62/16.04  						| (47) s(all_0_11_11) = all_0_10_10
% 54.62/16.04  						| (221)  ! [v0] :  ~ (r(v0) = 0)
% 54.62/16.04  						|
% 54.62/16.04  						+-Applying beta-rule and splitting (5870), into two cases.
% 54.62/16.04  						|-Branch one:
% 54.62/16.04  						| (5891) all_0_0_0 = 0 &  ~ (all_0_2_2 = 0) & r(all_0_3_3) = all_0_2_2 & q(all_0_1_1) = 0
% 54.62/16.04  						|
% 54.62/16.04  							| Applying alpha-rule on (5891) yields:
% 54.62/16.04  							| (63) all_0_0_0 = 0
% 54.62/16.04  							| (210)  ~ (all_0_2_2 = 0)
% 54.62/16.04  							| (211) r(all_0_3_3) = all_0_2_2
% 54.62/16.04  							| (5895) q(all_0_1_1) = 0
% 54.62/16.04  							|
% 54.62/16.04  							| Instantiating formula (1492) with all_0_1_1 and discharging atoms q(all_0_1_1) = 0, yields:
% 54.62/16.04  							| (120) all_0_8_8 = 0
% 54.62/16.04  							|
% 54.62/16.04  							+-Applying beta-rule and splitting (1498), into two cases.
% 54.62/16.04  							|-Branch one:
% 54.62/16.04  							| (1509) ((all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))
% 54.62/16.04  							|
% 54.62/16.04  								| Applying alpha-rule on (1509) yields:
% 54.62/16.04  								| (1510) (all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))
% 54.62/16.04  								| (1511) (s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))))
% 54.62/16.04  								|
% 54.62/16.04  								+-Applying beta-rule and splitting (1511), into two cases.
% 54.62/16.04  								|-Branch one:
% 54.62/16.04  								| (1512) s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 54.62/16.04  								|
% 54.62/16.04  									| Applying alpha-rule on (1512) yields:
% 54.62/16.04  									| (1513) s(all_0_17_17) = all_0_16_16
% 54.62/16.04  									| (1514)  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 54.62/16.04  									| (1515)  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0))
% 54.62/16.04  									| (1516) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 54.62/16.04  									|
% 54.62/16.04  									| Instantiating formula (1514) with all_0_10_10, all_0_11_11 and discharging atoms s(all_0_11_11) = all_0_10_10, yields:
% 54.62/16.04  									| (657)  ~ (all_0_16_16 = 0) | all_0_10_10 = 0
% 54.62/16.04  									|
% 54.62/16.04  									+-Applying beta-rule and splitting (657), into two cases.
% 54.62/16.04  									|-Branch one:
% 54.62/16.04  									| (71)  ~ (all_0_16_16 = 0)
% 54.62/16.04  									|
% 54.62/16.04  										+-Applying beta-rule and splitting (1510), into two cases.
% 54.62/16.04  										|-Branch one:
% 54.62/16.04  										| (1519) all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.62/16.04  										|
% 54.62/16.04  											| Applying alpha-rule on (1519) yields:
% 54.62/16.04  											| (74) all_0_14_14 = 0
% 54.62/16.04  											| (1521) s(all_0_15_15) = 0
% 54.62/16.04  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.62/16.04  											|
% 54.62/16.04  											| Instantiating formula (1515) with all_0_15_15 and discharging atoms s(all_0_15_15) = 0, yields:
% 54.62/16.04  											| (42) all_0_16_16 = 0
% 54.62/16.04  											|
% 54.62/16.04  											| Equations (42) can reduce 71 to:
% 54.62/16.04  											| (59) $false
% 54.62/16.04  											|
% 54.62/16.04  											|-The branch is then unsatisfiable
% 54.62/16.04  										|-Branch two:
% 54.62/16.04  										| (1540)  ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0)
% 54.62/16.04  										|
% 54.62/16.04  											| Applying alpha-rule on (1540) yields:
% 54.62/16.04  											| (67)  ~ (all_0_14_14 = 0)
% 54.62/16.04  											| (475) p(all_0_15_15) = all_0_14_14
% 54.62/16.04  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 54.62/16.04  											|
% 54.62/16.04  											| Instantiating formula (5867) with all_0_14_14, all_0_15_15 and discharging atoms p(all_0_15_15) = all_0_14_14, yields:
% 54.62/16.04  											| (6381)  ? [v0] :  ? [v1] : (( ~ (all_0_14_14 = 0) | ( ~ (v1 = 0) & p(v0) = v1)) & (all_0_14_14 = 0 | (v1 = 0 & p(v0) = 0)))
% 54.62/16.04  											|
% 54.62/16.04  											| Instantiating (6381) with all_81_0_4036, all_81_1_4037 yields:
% 54.62/16.04  											| (7652) ( ~ (all_0_14_14 = 0) | ( ~ (all_81_0_4036 = 0) & p(all_81_1_4037) = all_81_0_4036)) & (all_0_14_14 = 0 | (all_81_0_4036 = 0 & p(all_81_1_4037) = 0))
% 54.62/16.04  											|
% 54.62/16.04  											| Applying alpha-rule on (7652) yields:
% 54.62/16.04  											| (7653)  ~ (all_0_14_14 = 0) | ( ~ (all_81_0_4036 = 0) & p(all_81_1_4037) = all_81_0_4036)
% 54.62/16.04  											| (7654) all_0_14_14 = 0 | (all_81_0_4036 = 0 & p(all_81_1_4037) = 0)
% 54.62/16.04  											|
% 54.62/16.04  											+-Applying beta-rule and splitting (1516), into two cases.
% 54.62/16.04  											|-Branch one:
% 54.62/16.04  											| (1525) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0
% 54.62/16.04  											|
% 54.62/16.04  												| Applying alpha-rule on (1525) yields:
% 54.62/16.04  												| (33) all_0_18_18 = 0
% 54.62/16.04  												| (34)  ~ (all_0_20_20 = 0)
% 54.62/16.04  												| (1528) q(all_0_21_21) = all_0_20_20
% 54.62/16.04  												| (1529) p(all_0_19_19) = 0
% 54.62/16.04  												|
% 54.62/16.04  												| Instantiating formula (1491) with all_0_20_20, all_0_21_21 and discharging atoms q(all_0_21_21) = all_0_20_20, yields:
% 54.62/16.04  												| (483)  ~ (all_0_8_8 = 0) | all_0_20_20 = 0
% 54.62/16.04  												|
% 54.62/16.04  												+-Applying beta-rule and splitting (483), into two cases.
% 54.62/16.04  												|-Branch one:
% 54.62/16.04  												| (55)  ~ (all_0_8_8 = 0)
% 54.62/16.04  												|
% 54.62/16.04  													| Equations (120) can reduce 55 to:
% 54.62/16.04  													| (59) $false
% 54.62/16.04  													|
% 54.62/16.04  													|-The branch is then unsatisfiable
% 54.62/16.04  												|-Branch two:
% 54.62/16.04  												| (120) all_0_8_8 = 0
% 54.62/16.04  												| (81) all_0_20_20 = 0
% 54.62/16.04  												|
% 54.62/16.04  													| Equations (81) can reduce 34 to:
% 54.62/16.04  													| (59) $false
% 54.62/16.04  													|
% 54.62/16.04  													|-The branch is then unsatisfiable
% 54.62/16.04  											|-Branch two:
% 54.62/16.04  											| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 54.62/16.04  											|
% 54.62/16.04  												| Applying alpha-rule on (76) yields:
% 54.62/16.04  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.62/16.04  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.62/16.04  												|
% 54.62/16.04  												+-Applying beta-rule and splitting (7654), into two cases.
% 54.62/16.04  												|-Branch one:
% 54.62/16.04  												| (74) all_0_14_14 = 0
% 54.62/16.04  												|
% 54.62/16.04  													| Equations (74) can reduce 67 to:
% 54.62/16.04  													| (59) $false
% 54.62/16.04  													|
% 54.62/16.04  													|-The branch is then unsatisfiable
% 54.62/16.04  												|-Branch two:
% 54.62/16.04  												| (67)  ~ (all_0_14_14 = 0)
% 54.62/16.04  												| (7672) all_81_0_4036 = 0 & p(all_81_1_4037) = 0
% 54.62/16.04  												|
% 54.62/16.04  													| Applying alpha-rule on (7672) yields:
% 54.62/16.05  													| (7673) all_81_0_4036 = 0
% 54.62/16.05  													| (7674) p(all_81_1_4037) = 0
% 54.62/16.05  													|
% 54.62/16.05  													| Instantiating formula (78) with all_81_1_4037 and discharging atoms p(all_81_1_4037) = 0, yields:
% 54.62/16.05  													| (79) $false
% 54.62/16.05  													|
% 54.62/16.05  													|-The branch is then unsatisfiable
% 54.62/16.05  									|-Branch two:
% 54.62/16.05  									| (42) all_0_16_16 = 0
% 54.62/16.05  									| (58) all_0_10_10 = 0
% 54.62/16.05  									|
% 54.62/16.05  										| Equations (58) can reduce 52 to:
% 54.62/16.05  										| (59) $false
% 54.62/16.05  										|
% 54.62/16.05  										|-The branch is then unsatisfiable
% 54.62/16.05  								|-Branch two:
% 54.62/16.05  								| (1545)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))
% 54.62/16.05  								|
% 54.62/16.05  									| Applying alpha-rule on (1545) yields:
% 54.62/16.05  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 54.62/16.05  									| (1547) (all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))
% 54.62/16.05  									|
% 54.62/16.05  									| Instantiating formula (84) with all_0_10_10, all_0_11_11 and discharging atoms s(all_0_11_11) = all_0_10_10, yields:
% 54.62/16.05  									| (1726)  ? [v0] :  ? [v1] : (( ~ (all_0_10_10 = 0) | ( ~ (v1 = 0) & s(v0) = v1)) & (all_0_10_10 = 0 | (v1 = 0 & s(v0) = 0)))
% 54.62/16.05  									|
% 54.62/16.05  									| Instantiating (1726) with all_63_0_4040, all_63_1_4041 yields:
% 54.62/16.05  									| (7683) ( ~ (all_0_10_10 = 0) | ( ~ (all_63_0_4040 = 0) & s(all_63_1_4041) = all_63_0_4040)) & (all_0_10_10 = 0 | (all_63_0_4040 = 0 & s(all_63_1_4041) = 0))
% 54.62/16.05  									|
% 54.62/16.05  									| Applying alpha-rule on (7683) yields:
% 54.62/16.05  									| (7684)  ~ (all_0_10_10 = 0) | ( ~ (all_63_0_4040 = 0) & s(all_63_1_4041) = all_63_0_4040)
% 54.62/16.05  									| (7685) all_0_10_10 = 0 | (all_63_0_4040 = 0 & s(all_63_1_4041) = 0)
% 54.62/16.05  									|
% 54.62/16.05  									+-Applying beta-rule and splitting (7685), into two cases.
% 54.62/16.05  									|-Branch one:
% 54.62/16.05  									| (58) all_0_10_10 = 0
% 54.62/16.05  									|
% 54.62/16.05  										| Equations (58) can reduce 52 to:
% 54.62/16.05  										| (59) $false
% 54.62/16.05  										|
% 54.62/16.05  										|-The branch is then unsatisfiable
% 54.62/16.05  									|-Branch two:
% 54.62/16.05  									| (52)  ~ (all_0_10_10 = 0)
% 54.62/16.05  									| (7689) all_63_0_4040 = 0 & s(all_63_1_4041) = 0
% 54.62/16.05  									|
% 54.62/16.05  										| Applying alpha-rule on (7689) yields:
% 54.62/16.05  										| (7690) all_63_0_4040 = 0
% 54.62/16.05  										| (7691) s(all_63_1_4041) = 0
% 54.62/16.05  										|
% 54.62/16.05  										+-Applying beta-rule and splitting (1510), into two cases.
% 54.62/16.05  										|-Branch one:
% 54.62/16.05  										| (1519) all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.62/16.05  										|
% 54.62/16.05  											| Applying alpha-rule on (1519) yields:
% 54.62/16.05  											| (74) all_0_14_14 = 0
% 54.62/16.05  											| (1521) s(all_0_15_15) = 0
% 54.62/16.05  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.62/16.05  											|
% 54.62/16.05  											+-Applying beta-rule and splitting (1547), into two cases.
% 54.62/16.05  											|-Branch one:
% 54.62/16.05  											| (1563) all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.62/16.05  											|
% 54.62/16.05  												| Applying alpha-rule on (1563) yields:
% 54.62/16.05  												| (81) all_0_20_20 = 0
% 54.62/16.05  												| (1565) p(all_0_21_21) = 0
% 54.62/16.05  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.62/16.05  												|
% 54.62/16.05  												| Instantiating formula (5867) with 0, all_0_21_21 and discharging atoms p(all_0_21_21) = 0, yields:
% 54.62/16.05  												| (5930)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & p(v0) = v1)
% 54.62/16.05  												|
% 54.62/16.05  												| Instantiating (5930) with all_112_0_4050, all_112_1_4051 yields:
% 54.62/16.05  												| (7701)  ~ (all_112_0_4050 = 0) & p(all_112_1_4051) = all_112_0_4050
% 54.62/16.05  												|
% 54.62/16.05  												| Applying alpha-rule on (7701) yields:
% 54.62/16.05  												| (7702)  ~ (all_112_0_4050 = 0)
% 54.62/16.05  												| (7703) p(all_112_1_4051) = all_112_0_4050
% 54.62/16.05  												|
% 54.62/16.05  												| Instantiating formula (61) with all_112_0_4050, all_112_1_4051 and discharging atoms p(all_112_1_4051) = all_112_0_4050, yields:
% 54.62/16.05  												| (7704) all_112_0_4050 = 0
% 54.62/16.05  												|
% 54.62/16.05  												| Equations (7704) can reduce 7702 to:
% 54.62/16.05  												| (59) $false
% 54.62/16.05  												|
% 54.62/16.05  												|-The branch is then unsatisfiable
% 54.62/16.05  											|-Branch two:
% 54.62/16.05  											| (1573)  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)
% 54.62/16.05  											|
% 54.62/16.05  												| Applying alpha-rule on (1573) yields:
% 54.62/16.05  												| (34)  ~ (all_0_20_20 = 0)
% 54.62/16.05  												| (1528) q(all_0_21_21) = all_0_20_20
% 54.62/16.05  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.62/16.05  												|
% 54.62/16.05  												| Instantiating formula (1491) with all_0_20_20, all_0_21_21 and discharging atoms q(all_0_21_21) = all_0_20_20, yields:
% 54.62/16.05  												| (483)  ~ (all_0_8_8 = 0) | all_0_20_20 = 0
% 54.62/16.05  												|
% 54.62/16.05  												+-Applying beta-rule and splitting (483), into two cases.
% 54.62/16.05  												|-Branch one:
% 54.62/16.05  												| (55)  ~ (all_0_8_8 = 0)
% 54.62/16.05  												|
% 54.62/16.05  													| Equations (120) can reduce 55 to:
% 54.62/16.05  													| (59) $false
% 54.62/16.05  													|
% 54.62/16.05  													|-The branch is then unsatisfiable
% 54.62/16.05  												|-Branch two:
% 54.62/16.05  												| (120) all_0_8_8 = 0
% 54.62/16.05  												| (81) all_0_20_20 = 0
% 54.62/16.05  												|
% 54.62/16.05  													| Equations (81) can reduce 34 to:
% 54.62/16.05  													| (59) $false
% 54.62/16.05  													|
% 54.62/16.05  													|-The branch is then unsatisfiable
% 54.62/16.05  										|-Branch two:
% 54.62/16.05  										| (1540)  ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0)
% 54.62/16.05  										|
% 54.62/16.05  											| Applying alpha-rule on (1540) yields:
% 54.62/16.05  											| (67)  ~ (all_0_14_14 = 0)
% 54.62/16.05  											| (475) p(all_0_15_15) = all_0_14_14
% 54.62/16.05  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 54.62/16.05  											|
% 54.62/16.05  											| Instantiating formula (62) with all_63_1_4041 and discharging atoms s(all_63_1_4041) = 0, yields:
% 54.62/16.05  											| (79) $false
% 54.62/16.05  											|
% 54.62/16.05  											|-The branch is then unsatisfiable
% 54.62/16.05  							|-Branch two:
% 54.62/16.05  							| (1583) ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))
% 54.62/16.05  							|
% 54.62/16.05  								| Applying alpha-rule on (1583) yields:
% 54.62/16.05  								| (1584) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))
% 54.62/16.05  								| (1585) (s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))
% 54.62/16.05  								|
% 54.62/16.05  								+-Applying beta-rule and splitting (1585), into two cases.
% 54.62/16.05  								|-Branch one:
% 54.62/16.05  								| (1586) s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))
% 54.62/16.05  								|
% 54.62/16.05  									| Applying alpha-rule on (1586) yields:
% 54.62/16.05  									| (1587) s(all_0_15_15) = all_0_14_14
% 54.62/16.05  									| (1588)  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 54.62/16.05  									| (1589)  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0))
% 54.62/16.05  									| (1590) (all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0))
% 54.62/16.05  									|
% 54.62/16.05  									| Instantiating formula (1588) with all_0_10_10, all_0_11_11 and discharging atoms s(all_0_11_11) = all_0_10_10, yields:
% 54.62/16.05  									| (1767)  ~ (all_0_14_14 = 0) | all_0_10_10 = 0
% 54.62/16.05  									|
% 54.62/16.05  									+-Applying beta-rule and splitting (1767), into two cases.
% 54.62/16.05  									|-Branch one:
% 54.62/16.05  									| (67)  ~ (all_0_14_14 = 0)
% 54.62/16.05  									|
% 54.62/16.05  										+-Applying beta-rule and splitting (1584), into two cases.
% 54.62/16.05  										|-Branch one:
% 54.62/16.05  										| (1593) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20
% 54.62/16.05  										|
% 54.62/16.05  											| Applying alpha-rule on (1593) yields:
% 54.62/16.05  											| (33) all_0_18_18 = 0
% 54.62/16.05  											| (34)  ~ (all_0_20_20 = 0)
% 54.62/16.05  											| (1596) s(all_0_19_19) = 0
% 54.62/16.05  											| (1597) p(all_0_21_21) = all_0_20_20
% 54.62/16.05  											|
% 54.62/16.05  											| Instantiating formula (1589) with all_0_19_19 and discharging atoms s(all_0_19_19) = 0, yields:
% 54.62/16.05  											| (74) all_0_14_14 = 0
% 54.62/16.05  											|
% 54.62/16.05  											| Equations (74) can reduce 67 to:
% 54.62/16.05  											| (59) $false
% 54.62/16.05  											|
% 54.62/16.05  											|-The branch is then unsatisfiable
% 54.62/16.05  										|-Branch two:
% 54.62/16.05  										| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 54.62/16.05  										|
% 54.62/16.05  											| Applying alpha-rule on (60) yields:
% 54.62/16.05  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.62/16.05  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 54.62/16.05  											|
% 54.62/16.05  											+-Applying beta-rule and splitting (1590), into two cases.
% 54.62/16.05  											|-Branch one:
% 54.62/16.05  											| (1599) all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.62/16.05  											|
% 54.62/16.05  												| Applying alpha-rule on (1599) yields:
% 54.62/16.05  												| (42) all_0_16_16 = 0
% 54.62/16.05  												| (1601) p(all_0_17_17) = 0
% 54.62/16.05  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.62/16.05  												|
% 54.62/16.05  												| Instantiating formula (5867) with 0, all_0_17_17 and discharging atoms p(all_0_17_17) = 0, yields:
% 54.62/16.06  												| (5930)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & p(v0) = v1)
% 54.62/16.06  												|
% 54.62/16.06  												| Instantiating (5930) with all_85_0_4056, all_85_1_4057 yields:
% 54.62/16.06  												| (7746)  ~ (all_85_0_4056 = 0) & p(all_85_1_4057) = all_85_0_4056
% 54.62/16.06  												|
% 54.62/16.06  												| Applying alpha-rule on (7746) yields:
% 54.62/16.06  												| (7747)  ~ (all_85_0_4056 = 0)
% 54.62/16.06  												| (7748) p(all_85_1_4057) = all_85_0_4056
% 54.62/16.06  												|
% 54.62/16.06  												| Instantiating formula (61) with all_85_0_4056, all_85_1_4057 and discharging atoms p(all_85_1_4057) = all_85_0_4056, yields:
% 54.62/16.06  												| (7749) all_85_0_4056 = 0
% 54.62/16.06  												|
% 54.62/16.06  												| Equations (7749) can reduce 7747 to:
% 54.62/16.06  												| (59) $false
% 54.62/16.06  												|
% 54.62/16.06  												|-The branch is then unsatisfiable
% 54.62/16.06  											|-Branch two:
% 54.62/16.06  											| (1609)  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)
% 54.62/16.06  											|
% 54.62/16.06  												| Applying alpha-rule on (1609) yields:
% 54.62/16.06  												| (71)  ~ (all_0_16_16 = 0)
% 54.62/16.06  												| (23) q(all_0_17_17) = all_0_16_16
% 54.62/16.06  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.62/16.06  												|
% 54.62/16.06  												| Instantiating formula (1491) with all_0_16_16, all_0_17_17 and discharging atoms q(all_0_17_17) = all_0_16_16, yields:
% 54.62/16.06  												| (1613)  ~ (all_0_8_8 = 0) | all_0_16_16 = 0
% 54.62/16.06  												|
% 54.62/16.06  												+-Applying beta-rule and splitting (1613), into two cases.
% 54.62/16.06  												|-Branch one:
% 54.62/16.06  												| (55)  ~ (all_0_8_8 = 0)
% 54.62/16.06  												|
% 54.62/16.06  													| Equations (120) can reduce 55 to:
% 54.62/16.06  													| (59) $false
% 54.62/16.06  													|
% 54.62/16.06  													|-The branch is then unsatisfiable
% 54.62/16.06  												|-Branch two:
% 54.62/16.06  												| (120) all_0_8_8 = 0
% 54.62/16.06  												| (42) all_0_16_16 = 0
% 54.62/16.06  												|
% 54.62/16.06  													| Equations (42) can reduce 71 to:
% 54.62/16.06  													| (59) $false
% 54.62/16.06  													|
% 54.62/16.06  													|-The branch is then unsatisfiable
% 54.62/16.06  									|-Branch two:
% 54.62/16.06  									| (74) all_0_14_14 = 0
% 54.62/16.06  									| (58) all_0_10_10 = 0
% 54.62/16.06  									|
% 54.62/16.06  										| Equations (58) can reduce 52 to:
% 54.62/16.06  										| (59) $false
% 54.62/16.06  										|
% 54.62/16.06  										|-The branch is then unsatisfiable
% 54.62/16.06  								|-Branch two:
% 54.62/16.06  								| (1623)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 54.62/16.06  								|
% 54.62/16.06  									| Applying alpha-rule on (1623) yields:
% 54.62/16.06  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 54.62/16.06  									| (1625) (all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 54.62/16.06  									|
% 54.62/16.06  									| Instantiating formula (84) with all_0_10_10, all_0_11_11 and discharging atoms s(all_0_11_11) = all_0_10_10, yields:
% 54.62/16.06  									| (1726)  ? [v0] :  ? [v1] : (( ~ (all_0_10_10 = 0) | ( ~ (v1 = 0) & s(v0) = v1)) & (all_0_10_10 = 0 | (v1 = 0 & s(v0) = 0)))
% 54.62/16.06  									|
% 54.62/16.06  									| Instantiating (1726) with all_63_0_4058, all_63_1_4059 yields:
% 54.62/16.06  									| (7768) ( ~ (all_0_10_10 = 0) | ( ~ (all_63_0_4058 = 0) & s(all_63_1_4059) = all_63_0_4058)) & (all_0_10_10 = 0 | (all_63_0_4058 = 0 & s(all_63_1_4059) = 0))
% 54.62/16.06  									|
% 54.62/16.06  									| Applying alpha-rule on (7768) yields:
% 54.62/16.06  									| (7769)  ~ (all_0_10_10 = 0) | ( ~ (all_63_0_4058 = 0) & s(all_63_1_4059) = all_63_0_4058)
% 54.62/16.06  									| (7770) all_0_10_10 = 0 | (all_63_0_4058 = 0 & s(all_63_1_4059) = 0)
% 54.62/16.06  									|
% 54.62/16.06  									+-Applying beta-rule and splitting (7770), into two cases.
% 54.62/16.06  									|-Branch one:
% 54.62/16.06  									| (58) all_0_10_10 = 0
% 54.62/16.06  									|
% 54.62/16.06  										| Equations (58) can reduce 52 to:
% 54.62/16.06  										| (59) $false
% 54.62/16.06  										|
% 54.62/16.06  										|-The branch is then unsatisfiable
% 54.62/16.06  									|-Branch two:
% 54.62/16.06  									| (52)  ~ (all_0_10_10 = 0)
% 54.62/16.06  									| (7774) all_63_0_4058 = 0 & s(all_63_1_4059) = 0
% 54.62/16.06  									|
% 54.62/16.06  										| Applying alpha-rule on (7774) yields:
% 54.62/16.06  										| (7775) all_63_0_4058 = 0
% 54.62/16.06  										| (7776) s(all_63_1_4059) = 0
% 54.62/16.06  										|
% 54.62/16.06  										+-Applying beta-rule and splitting (1584), into two cases.
% 54.62/16.06  										|-Branch one:
% 54.62/16.06  										| (1593) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20
% 54.62/16.06  										|
% 54.62/16.06  											| Applying alpha-rule on (1593) yields:
% 54.62/16.06  											| (33) all_0_18_18 = 0
% 54.62/16.06  											| (34)  ~ (all_0_20_20 = 0)
% 54.62/16.06  											| (1596) s(all_0_19_19) = 0
% 54.62/16.06  											| (1597) p(all_0_21_21) = all_0_20_20
% 54.62/16.06  											|
% 54.62/16.06  											| Instantiating formula (5867) with all_0_20_20, all_0_21_21 and discharging atoms p(all_0_21_21) = all_0_20_20, yields:
% 54.62/16.06  											| (7561)  ? [v0] :  ? [v1] : (( ~ (all_0_20_20 = 0) | ( ~ (v1 = 0) & p(v0) = v1)) & (all_0_20_20 = 0 | (v1 = 0 & p(v0) = 0)))
% 54.62/16.06  											|
% 54.62/16.06  											| Instantiating (7561) with all_91_0_4064, all_91_1_4065 yields:
% 54.62/16.06  											| (7783) ( ~ (all_0_20_20 = 0) | ( ~ (all_91_0_4064 = 0) & p(all_91_1_4065) = all_91_0_4064)) & (all_0_20_20 = 0 | (all_91_0_4064 = 0 & p(all_91_1_4065) = 0))
% 54.62/16.06  											|
% 54.62/16.06  											| Applying alpha-rule on (7783) yields:
% 54.62/16.06  											| (7784)  ~ (all_0_20_20 = 0) | ( ~ (all_91_0_4064 = 0) & p(all_91_1_4065) = all_91_0_4064)
% 54.62/16.06  											| (7785) all_0_20_20 = 0 | (all_91_0_4064 = 0 & p(all_91_1_4065) = 0)
% 54.62/16.06  											|
% 54.62/16.06  											+-Applying beta-rule and splitting (7785), into two cases.
% 54.62/16.06  											|-Branch one:
% 54.62/16.06  											| (81) all_0_20_20 = 0
% 54.62/16.06  											|
% 54.62/16.06  												| Equations (81) can reduce 34 to:
% 54.62/16.06  												| (59) $false
% 54.62/16.06  												|
% 54.62/16.06  												|-The branch is then unsatisfiable
% 54.62/16.06  											|-Branch two:
% 54.62/16.06  											| (34)  ~ (all_0_20_20 = 0)
% 54.62/16.06  											| (7789) all_91_0_4064 = 0 & p(all_91_1_4065) = 0
% 54.62/16.06  											|
% 54.62/16.06  												| Applying alpha-rule on (7789) yields:
% 54.62/16.06  												| (7790) all_91_0_4064 = 0
% 54.62/16.06  												| (7791) p(all_91_1_4065) = 0
% 54.62/16.06  												|
% 54.62/16.06  												+-Applying beta-rule and splitting (1625), into two cases.
% 54.62/16.06  												|-Branch one:
% 54.62/16.06  												| (1642) all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0
% 54.62/16.06  												|
% 54.62/16.06  													| Applying alpha-rule on (1642) yields:
% 54.62/16.06  													| (74) all_0_14_14 = 0
% 54.62/16.06  													| (71)  ~ (all_0_16_16 = 0)
% 54.62/16.06  													| (23) q(all_0_17_17) = all_0_16_16
% 54.62/16.06  													| (105) p(all_0_15_15) = 0
% 54.62/16.06  													|
% 54.62/16.06  													| Instantiating formula (1491) with all_0_16_16, all_0_17_17 and discharging atoms q(all_0_17_17) = all_0_16_16, yields:
% 54.62/16.06  													| (1613)  ~ (all_0_8_8 = 0) | all_0_16_16 = 0
% 54.62/16.06  													|
% 54.62/16.06  													+-Applying beta-rule and splitting (1613), into two cases.
% 54.62/16.06  													|-Branch one:
% 54.62/16.06  													| (55)  ~ (all_0_8_8 = 0)
% 54.62/16.06  													|
% 54.62/16.06  														| Equations (120) can reduce 55 to:
% 54.62/16.06  														| (59) $false
% 54.62/16.06  														|
% 54.62/16.06  														|-The branch is then unsatisfiable
% 54.62/16.06  													|-Branch two:
% 54.62/16.06  													| (120) all_0_8_8 = 0
% 54.62/16.06  													| (42) all_0_16_16 = 0
% 54.62/16.06  													|
% 54.62/16.06  														| Equations (42) can reduce 71 to:
% 54.62/16.06  														| (59) $false
% 54.62/16.06  														|
% 54.62/16.06  														|-The branch is then unsatisfiable
% 54.62/16.06  												|-Branch two:
% 54.62/16.06  												| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 54.62/16.06  												|
% 54.62/16.06  													| Applying alpha-rule on (76) yields:
% 54.62/16.06  													| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.62/16.06  													| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.62/16.06  													|
% 54.62/16.06  													| Instantiating formula (78) with all_91_1_4065 and discharging atoms p(all_91_1_4065) = 0, yields:
% 54.62/16.06  													| (79) $false
% 54.62/16.06  													|
% 54.62/16.06  													|-The branch is then unsatisfiable
% 54.62/16.06  										|-Branch two:
% 54.62/16.06  										| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 54.62/16.06  										|
% 54.62/16.06  											| Applying alpha-rule on (60) yields:
% 54.62/16.06  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.62/16.06  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 54.62/16.06  											|
% 54.62/16.06  											| Instantiating formula (62) with all_63_1_4059 and discharging atoms s(all_63_1_4059) = 0, yields:
% 54.62/16.06  											| (79) $false
% 54.62/16.06  											|
% 54.62/16.06  											|-The branch is then unsatisfiable
% 54.62/16.06  						|-Branch two:
% 54.62/16.06  						| (2985)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] :  ~ (q(v0) = 0)
% 54.62/16.06  						|
% 54.62/16.06  							| Applying alpha-rule on (2985) yields:
% 54.62/16.06  							| (41)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 54.62/16.06  							| (212)  ! [v0] :  ~ (q(v0) = 0)
% 54.62/16.06  							|
% 54.62/16.06  							| Instantiating formula (41) with all_0_12_12, all_0_13_13 and discharging atoms r(all_0_13_13) = all_0_12_12, yields:
% 54.62/16.06  							| (66) all_0_12_12 = 0
% 54.62/16.06  							|
% 54.62/16.06  							| From (66) and (1495) follows:
% 54.62/16.06  							| (1676) r(all_0_13_13) = 0
% 54.62/16.06  							|
% 54.62/16.06  							| Instantiating formula (221) with all_0_13_13 and discharging atoms r(all_0_13_13) = 0, yields:
% 54.62/16.06  							| (79) $false
% 54.62/16.06  							|
% 54.62/16.06  							|-The branch is then unsatisfiable
% 54.62/16.07  				|-Branch two:
% 54.62/16.07  				| (1836)  ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))
% 54.62/16.07  				|
% 54.62/16.07  					| Applying alpha-rule on (1836) yields:
% 54.62/16.07  					| (370)  ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0))))
% 54.62/16.07  					| (1838) (((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))
% 54.62/16.07  					|
% 54.62/16.07  					+-Applying beta-rule and splitting (1493), into two cases.
% 54.62/16.07  					|-Branch one:
% 54.62/16.07  					| (1499) all_0_10_10 = 0 & r(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))
% 54.62/16.07  					|
% 54.62/16.07  						| Applying alpha-rule on (1499) yields:
% 54.62/16.07  						| (58) all_0_10_10 = 0
% 54.62/16.07  						| (1501) r(all_0_11_11) = 0
% 54.62/16.07  						| (220)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))
% 54.62/16.07  						|
% 54.62/16.07  						| Instantiating formula (370) with 0, all_0_11_11 and discharging atoms r(all_0_11_11) = 0, yields:
% 54.62/16.07  						| (377)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & r(v0) = v1)
% 54.62/16.07  						|
% 54.62/16.07  						| Instantiating (377) with all_41_0_4102, all_41_1_4103 yields:
% 54.62/16.07  						| (7825)  ~ (all_41_0_4102 = 0) & r(all_41_1_4103) = all_41_0_4102
% 54.62/16.07  						|
% 54.62/16.07  						| Applying alpha-rule on (7825) yields:
% 54.62/16.07  						| (7826)  ~ (all_41_0_4102 = 0)
% 54.62/16.07  						| (7827) r(all_41_1_4103) = all_41_0_4102
% 54.62/16.07  						|
% 54.62/16.07  						+-Applying beta-rule and splitting (5870), into two cases.
% 54.62/16.07  						|-Branch one:
% 54.62/16.07  						| (5891) all_0_0_0 = 0 &  ~ (all_0_2_2 = 0) & r(all_0_3_3) = all_0_2_2 & q(all_0_1_1) = 0
% 54.62/16.07  						|
% 54.62/16.07  							| Applying alpha-rule on (5891) yields:
% 54.62/16.07  							| (63) all_0_0_0 = 0
% 54.62/16.07  							| (210)  ~ (all_0_2_2 = 0)
% 54.62/16.07  							| (211) r(all_0_3_3) = all_0_2_2
% 54.62/16.07  							| (5895) q(all_0_1_1) = 0
% 54.62/16.07  							|
% 54.62/16.07  							| Instantiating formula (1492) with all_0_1_1 and discharging atoms q(all_0_1_1) = 0, yields:
% 54.62/16.07  							| (120) all_0_8_8 = 0
% 54.62/16.07  							|
% 54.62/16.07  							+-Applying beta-rule and splitting (1838), into two cases.
% 54.62/16.07  							|-Branch one:
% 54.62/16.07  							| (1857) ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))
% 54.62/16.07  							|
% 54.62/16.07  								| Applying alpha-rule on (1857) yields:
% 54.62/16.07  								| (469) (all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))
% 54.62/16.07  								| (1511) (s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))))
% 54.62/16.07  								|
% 54.62/16.07  								+-Applying beta-rule and splitting (469), into two cases.
% 54.62/16.07  								|-Branch one:
% 54.62/16.07  								| (471) all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14
% 54.62/16.07  								|
% 54.62/16.07  									| Applying alpha-rule on (471) yields:
% 54.62/16.07  									| (66) all_0_12_12 = 0
% 54.62/16.07  									| (67)  ~ (all_0_14_14 = 0)
% 54.62/16.07  									| (310) s(all_0_13_13) = 0
% 54.62/16.07  									| (475) p(all_0_15_15) = all_0_14_14
% 54.62/16.07  									|
% 54.62/16.07  									+-Applying beta-rule and splitting (1511), into two cases.
% 54.62/16.07  									|-Branch one:
% 54.62/16.07  									| (1512) s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 54.62/16.07  									|
% 54.62/16.07  										| Applying alpha-rule on (1512) yields:
% 54.62/16.07  										| (1513) s(all_0_17_17) = all_0_16_16
% 54.62/16.07  										| (1514)  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 54.62/16.07  										| (1515)  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0))
% 54.62/16.07  										| (1516) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 54.62/16.07  										|
% 54.62/16.07  										| Instantiating formula (5867) with all_0_14_14, all_0_15_15 and discharging atoms p(all_0_15_15) = all_0_14_14, yields:
% 54.62/16.07  										| (6381)  ? [v0] :  ? [v1] : (( ~ (all_0_14_14 = 0) | ( ~ (v1 = 0) & p(v0) = v1)) & (all_0_14_14 = 0 | (v1 = 0 & p(v0) = 0)))
% 54.62/16.07  										|
% 54.62/16.07  										| Instantiating (6381) with all_283_0_4174, all_283_1_4175 yields:
% 54.62/16.07  										| (7848) ( ~ (all_0_14_14 = 0) | ( ~ (all_283_0_4174 = 0) & p(all_283_1_4175) = all_283_0_4174)) & (all_0_14_14 = 0 | (all_283_0_4174 = 0 & p(all_283_1_4175) = 0))
% 54.62/16.07  										|
% 54.62/16.07  										| Applying alpha-rule on (7848) yields:
% 54.62/16.07  										| (7849)  ~ (all_0_14_14 = 0) | ( ~ (all_283_0_4174 = 0) & p(all_283_1_4175) = all_283_0_4174)
% 54.62/16.07  										| (7850) all_0_14_14 = 0 | (all_283_0_4174 = 0 & p(all_283_1_4175) = 0)
% 54.62/16.07  										|
% 54.62/16.07  										+-Applying beta-rule and splitting (7850), into two cases.
% 54.62/16.07  										|-Branch one:
% 54.62/16.07  										| (74) all_0_14_14 = 0
% 54.62/16.07  										|
% 54.62/16.07  											| Equations (74) can reduce 67 to:
% 54.62/16.07  											| (59) $false
% 54.62/16.07  											|
% 54.62/16.07  											|-The branch is then unsatisfiable
% 54.62/16.07  										|-Branch two:
% 54.62/16.07  										| (67)  ~ (all_0_14_14 = 0)
% 54.62/16.07  										| (7854) all_283_0_4174 = 0 & p(all_283_1_4175) = 0
% 54.62/16.07  										|
% 54.62/16.07  											| Applying alpha-rule on (7854) yields:
% 54.62/16.07  											| (7855) all_283_0_4174 = 0
% 54.62/16.07  											| (7856) p(all_283_1_4175) = 0
% 54.62/16.07  											|
% 54.62/16.07  											+-Applying beta-rule and splitting (1516), into two cases.
% 54.62/16.07  											|-Branch one:
% 54.62/16.07  											| (1525) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0
% 54.62/16.07  											|
% 54.62/16.07  												| Applying alpha-rule on (1525) yields:
% 54.62/16.07  												| (33) all_0_18_18 = 0
% 54.62/16.07  												| (34)  ~ (all_0_20_20 = 0)
% 54.62/16.07  												| (1528) q(all_0_21_21) = all_0_20_20
% 54.62/16.07  												| (1529) p(all_0_19_19) = 0
% 54.62/16.07  												|
% 54.62/16.07  												| Instantiating formula (1491) with all_0_20_20, all_0_21_21 and discharging atoms q(all_0_21_21) = all_0_20_20, yields:
% 54.62/16.07  												| (483)  ~ (all_0_8_8 = 0) | all_0_20_20 = 0
% 54.62/16.07  												|
% 54.62/16.07  												+-Applying beta-rule and splitting (483), into two cases.
% 54.62/16.07  												|-Branch one:
% 54.62/16.07  												| (55)  ~ (all_0_8_8 = 0)
% 54.62/16.07  												|
% 54.62/16.07  													| Equations (120) can reduce 55 to:
% 54.62/16.07  													| (59) $false
% 54.62/16.07  													|
% 54.62/16.07  													|-The branch is then unsatisfiable
% 54.62/16.07  												|-Branch two:
% 54.62/16.07  												| (120) all_0_8_8 = 0
% 54.62/16.07  												| (81) all_0_20_20 = 0
% 54.62/16.07  												|
% 54.62/16.07  													| Equations (81) can reduce 34 to:
% 54.62/16.07  													| (59) $false
% 54.62/16.07  													|
% 54.62/16.07  													|-The branch is then unsatisfiable
% 54.62/16.07  											|-Branch two:
% 54.62/16.07  											| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 54.62/16.07  											|
% 54.62/16.07  												| Applying alpha-rule on (76) yields:
% 54.62/16.07  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.62/16.07  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.62/16.07  												|
% 54.62/16.07  												| Instantiating formula (78) with all_283_1_4175 and discharging atoms p(all_283_1_4175) = 0, yields:
% 54.62/16.07  												| (79) $false
% 54.62/16.07  												|
% 54.62/16.07  												|-The branch is then unsatisfiable
% 54.62/16.07  									|-Branch two:
% 54.62/16.07  									| (1545)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))
% 54.62/16.07  									|
% 54.62/16.07  										| Applying alpha-rule on (1545) yields:
% 54.62/16.07  										| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 54.62/16.07  										| (1547) (all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))
% 54.62/16.07  										|
% 54.62/16.07  										| Instantiating formula (84) with 0, all_0_13_13 and discharging atoms s(all_0_13_13) = 0, yields:
% 54.62/16.08  										| (278)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & s(v0) = v1)
% 54.62/16.08  										|
% 54.62/16.08  										| Instantiating (278) with all_283_0_4228, all_283_1_4229 yields:
% 54.62/16.08  										| (7876)  ~ (all_283_0_4228 = 0) & s(all_283_1_4229) = all_283_0_4228
% 54.62/16.08  										|
% 54.62/16.08  										| Applying alpha-rule on (7876) yields:
% 54.62/16.08  										| (7877)  ~ (all_283_0_4228 = 0)
% 54.62/16.08  										| (7878) s(all_283_1_4229) = all_283_0_4228
% 54.62/16.08  										|
% 54.62/16.08  										| Instantiating formula (220) with all_283_0_4228, all_283_1_4229 and discharging atoms s(all_283_1_4229) = all_283_0_4228, yields:
% 54.62/16.08  										| (7879) all_283_0_4228 = 0
% 54.62/16.08  										|
% 54.62/16.08  										| Equations (7879) can reduce 7877 to:
% 54.62/16.08  										| (59) $false
% 54.62/16.08  										|
% 54.62/16.08  										|-The branch is then unsatisfiable
% 54.62/16.08  								|-Branch two:
% 54.62/16.08  								| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 54.62/16.08  								|
% 54.62/16.08  									| Applying alpha-rule on (60) yields:
% 54.62/16.08  									| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.62/16.08  									| (62)  ! [v0] :  ~ (s(v0) = 0)
% 54.62/16.08  									|
% 54.62/16.08  									+-Applying beta-rule and splitting (1511), into two cases.
% 54.62/16.08  									|-Branch one:
% 54.62/16.08  									| (1512) s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 54.62/16.08  									|
% 54.62/16.08  										| Applying alpha-rule on (1512) yields:
% 54.62/16.08  										| (1513) s(all_0_17_17) = all_0_16_16
% 54.62/16.08  										| (1514)  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 54.62/16.08  										| (1515)  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0))
% 54.62/16.08  										| (1516) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 54.62/16.08  										|
% 54.62/16.08  										| Instantiating formula (220) with all_0_16_16, all_0_17_17 and discharging atoms s(all_0_17_17) = all_0_16_16, yields:
% 54.62/16.08  										| (42) all_0_16_16 = 0
% 54.62/16.08  										|
% 54.62/16.08  										| From (42) and (1513) follows:
% 54.62/16.08  										| (1518) s(all_0_17_17) = 0
% 54.62/16.08  										|
% 54.62/16.08  										| Instantiating formula (62) with all_0_17_17 and discharging atoms s(all_0_17_17) = 0, yields:
% 54.62/16.08  										| (79) $false
% 54.62/16.08  										|
% 54.62/16.08  										|-The branch is then unsatisfiable
% 54.62/16.08  									|-Branch two:
% 54.62/16.08  									| (1545)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))
% 54.62/16.08  									|
% 54.62/16.08  										| Applying alpha-rule on (1545) yields:
% 54.62/16.08  										| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 54.62/16.08  										| (1547) (all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))
% 54.62/16.08  										|
% 54.62/16.08  										+-Applying beta-rule and splitting (1547), into two cases.
% 54.62/16.08  										|-Branch one:
% 54.62/16.08  										| (1563) all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.62/16.08  										|
% 54.62/16.08  											| Applying alpha-rule on (1563) yields:
% 54.62/16.08  											| (81) all_0_20_20 = 0
% 54.62/16.08  											| (1565) p(all_0_21_21) = 0
% 54.62/16.08  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.62/16.08  											|
% 54.62/16.08  											| Instantiating formula (5867) with 0, all_0_21_21 and discharging atoms p(all_0_21_21) = 0, yields:
% 54.62/16.08  											| (5930)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & p(v0) = v1)
% 54.62/16.08  											|
% 54.62/16.08  											| Instantiating (5930) with all_404_0_4270, all_404_1_4271 yields:
% 54.62/16.08  											| (7900)  ~ (all_404_0_4270 = 0) & p(all_404_1_4271) = all_404_0_4270
% 54.62/16.08  											|
% 54.62/16.08  											| Applying alpha-rule on (7900) yields:
% 54.62/16.08  											| (7901)  ~ (all_404_0_4270 = 0)
% 54.62/16.08  											| (7902) p(all_404_1_4271) = all_404_0_4270
% 54.62/16.08  											|
% 54.62/16.08  											| Instantiating formula (61) with all_404_0_4270, all_404_1_4271 and discharging atoms p(all_404_1_4271) = all_404_0_4270, yields:
% 54.62/16.08  											| (7903) all_404_0_4270 = 0
% 54.62/16.08  											|
% 54.62/16.08  											| Equations (7903) can reduce 7901 to:
% 54.62/16.08  											| (59) $false
% 54.62/16.08  											|
% 54.62/16.08  											|-The branch is then unsatisfiable
% 54.62/16.08  										|-Branch two:
% 54.62/16.08  										| (1573)  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)
% 54.62/16.08  										|
% 54.62/16.08  											| Applying alpha-rule on (1573) yields:
% 54.62/16.08  											| (34)  ~ (all_0_20_20 = 0)
% 54.62/16.08  											| (1528) q(all_0_21_21) = all_0_20_20
% 54.62/16.08  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.62/16.08  											|
% 54.62/16.08  											| Instantiating formula (1491) with all_0_20_20, all_0_21_21 and discharging atoms q(all_0_21_21) = all_0_20_20, yields:
% 54.62/16.08  											| (483)  ~ (all_0_8_8 = 0) | all_0_20_20 = 0
% 54.62/16.08  											|
% 54.62/16.08  											+-Applying beta-rule and splitting (483), into two cases.
% 54.62/16.08  											|-Branch one:
% 54.62/16.08  											| (55)  ~ (all_0_8_8 = 0)
% 54.62/16.08  											|
% 54.62/16.08  												| Equations (120) can reduce 55 to:
% 54.62/16.08  												| (59) $false
% 54.62/16.08  												|
% 54.62/16.08  												|-The branch is then unsatisfiable
% 54.62/16.08  											|-Branch two:
% 54.62/16.08  											| (120) all_0_8_8 = 0
% 54.62/16.08  											| (81) all_0_20_20 = 0
% 54.62/16.08  											|
% 54.62/16.08  												| Equations (81) can reduce 34 to:
% 54.62/16.08  												| (59) $false
% 54.62/16.08  												|
% 54.62/16.08  												|-The branch is then unsatisfiable
% 54.62/16.08  							|-Branch two:
% 54.62/16.08  							| (1925) ((all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))
% 54.62/16.08  							|
% 54.62/16.08  								| Applying alpha-rule on (1925) yields:
% 54.62/16.08  								| (1926) (all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))
% 54.62/16.08  								| (1927) (s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))
% 54.62/16.08  								|
% 54.62/16.08  								+-Applying beta-rule and splitting (1926), into two cases.
% 54.62/16.08  								|-Branch one:
% 54.62/16.08  								| (1928) all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.62/16.08  								|
% 54.62/16.08  									| Applying alpha-rule on (1928) yields:
% 54.62/16.08  									| (42) all_0_16_16 = 0
% 54.62/16.08  									| (1518) s(all_0_17_17) = 0
% 54.62/16.08  									| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.62/16.08  									|
% 54.62/16.08  									+-Applying beta-rule and splitting (1927), into two cases.
% 54.62/16.08  									|-Branch one:
% 54.62/16.08  									| (1934) s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))
% 54.62/16.08  									|
% 54.62/16.08  										| Applying alpha-rule on (1934) yields:
% 54.62/16.08  										| (1935) s(all_0_19_19) = all_0_18_18
% 54.62/16.08  										| (1936)  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 54.62/16.08  										| (1937)  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0))
% 54.62/16.08  										| (1547) (all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))
% 54.62/16.08  										|
% 54.62/16.08  										+-Applying beta-rule and splitting (1547), into two cases.
% 54.62/16.08  										|-Branch one:
% 54.62/16.08  										| (1563) all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.62/16.08  										|
% 54.62/16.08  											| Applying alpha-rule on (1563) yields:
% 54.62/16.08  											| (81) all_0_20_20 = 0
% 54.62/16.08  											| (1565) p(all_0_21_21) = 0
% 54.62/16.08  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.62/16.08  											|
% 54.62/16.08  											| Instantiating formula (5867) with 0, all_0_21_21 and discharging atoms p(all_0_21_21) = 0, yields:
% 54.62/16.08  											| (5930)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & p(v0) = v1)
% 54.62/16.08  											|
% 54.62/16.08  											| Instantiating (5930) with all_399_0_4356, all_399_1_4357 yields:
% 54.62/16.08  											| (7932)  ~ (all_399_0_4356 = 0) & p(all_399_1_4357) = all_399_0_4356
% 54.62/16.08  											|
% 54.62/16.08  											| Applying alpha-rule on (7932) yields:
% 54.62/16.08  											| (7933)  ~ (all_399_0_4356 = 0)
% 54.62/16.09  											| (7934) p(all_399_1_4357) = all_399_0_4356
% 54.62/16.09  											|
% 54.62/16.09  											| Instantiating formula (61) with all_399_0_4356, all_399_1_4357 and discharging atoms p(all_399_1_4357) = all_399_0_4356, yields:
% 54.62/16.09  											| (7935) all_399_0_4356 = 0
% 54.62/16.09  											|
% 54.62/16.09  											| Equations (7935) can reduce 7933 to:
% 54.62/16.09  											| (59) $false
% 54.62/16.09  											|
% 54.62/16.09  											|-The branch is then unsatisfiable
% 54.62/16.09  										|-Branch two:
% 54.62/16.09  										| (1573)  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)
% 54.62/16.09  										|
% 54.62/16.09  											| Applying alpha-rule on (1573) yields:
% 54.62/16.09  											| (34)  ~ (all_0_20_20 = 0)
% 54.62/16.09  											| (1528) q(all_0_21_21) = all_0_20_20
% 54.62/16.09  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.62/16.09  											|
% 54.62/16.09  											| Instantiating formula (1491) with all_0_20_20, all_0_21_21 and discharging atoms q(all_0_21_21) = all_0_20_20, yields:
% 54.62/16.09  											| (483)  ~ (all_0_8_8 = 0) | all_0_20_20 = 0
% 54.62/16.09  											|
% 54.62/16.09  											+-Applying beta-rule and splitting (483), into two cases.
% 54.62/16.09  											|-Branch one:
% 54.62/16.09  											| (55)  ~ (all_0_8_8 = 0)
% 54.62/16.09  											|
% 54.62/16.09  												| Equations (120) can reduce 55 to:
% 54.62/16.09  												| (59) $false
% 54.62/16.09  												|
% 54.62/16.09  												|-The branch is then unsatisfiable
% 54.62/16.09  											|-Branch two:
% 54.62/16.09  											| (120) all_0_8_8 = 0
% 54.62/16.09  											| (81) all_0_20_20 = 0
% 54.62/16.09  											|
% 54.62/16.09  												| Equations (81) can reduce 34 to:
% 54.62/16.09  												| (59) $false
% 54.62/16.09  												|
% 54.62/16.09  												|-The branch is then unsatisfiable
% 54.62/16.09  									|-Branch two:
% 54.62/16.09  									| (1951)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 54.62/16.09  									|
% 54.62/16.09  										| Applying alpha-rule on (1951) yields:
% 54.62/16.09  										| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 54.62/16.09  										| (1516) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 54.62/16.09  										|
% 54.62/16.09  										| Instantiating formula (84) with 0, all_0_17_17 and discharging atoms s(all_0_17_17) = 0, yields:
% 54.62/16.09  										| (278)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & s(v0) = v1)
% 54.62/16.09  										|
% 54.62/16.09  										| Instantiating (278) with all_282_0_4368, all_282_1_4369 yields:
% 54.62/16.09  										| (7951)  ~ (all_282_0_4368 = 0) & s(all_282_1_4369) = all_282_0_4368
% 54.62/16.09  										|
% 54.62/16.09  										| Applying alpha-rule on (7951) yields:
% 54.62/16.09  										| (7952)  ~ (all_282_0_4368 = 0)
% 54.62/16.09  										| (7953) s(all_282_1_4369) = all_282_0_4368
% 54.62/16.09  										|
% 54.62/16.09  										| Instantiating formula (220) with all_282_0_4368, all_282_1_4369 and discharging atoms s(all_282_1_4369) = all_282_0_4368, yields:
% 54.62/16.09  										| (7954) all_282_0_4368 = 0
% 54.62/16.09  										|
% 54.62/16.09  										| Equations (7954) can reduce 7952 to:
% 54.62/16.09  										| (59) $false
% 54.62/16.09  										|
% 54.62/16.09  										|-The branch is then unsatisfiable
% 54.62/16.09  								|-Branch two:
% 54.62/16.09  								| (1960)  ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0)
% 54.62/16.09  								|
% 54.62/16.09  									| Applying alpha-rule on (1960) yields:
% 54.62/16.09  									| (71)  ~ (all_0_16_16 = 0)
% 54.62/16.09  									| (1962) p(all_0_17_17) = all_0_16_16
% 54.62/16.09  									| (62)  ! [v0] :  ~ (s(v0) = 0)
% 54.62/16.09  									|
% 54.62/16.09  									+-Applying beta-rule and splitting (1927), into two cases.
% 54.62/16.09  									|-Branch one:
% 54.62/16.09  									| (1934) s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))
% 54.62/16.09  									|
% 54.62/16.09  										| Applying alpha-rule on (1934) yields:
% 54.62/16.09  										| (1935) s(all_0_19_19) = all_0_18_18
% 54.62/16.09  										| (1936)  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 54.62/16.09  										| (1937)  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0))
% 54.62/16.09  										| (1547) (all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))
% 54.62/16.09  										|
% 54.62/16.09  										| Instantiating formula (220) with all_0_18_18, all_0_19_19 and discharging atoms s(all_0_19_19) = all_0_18_18, yields:
% 54.62/16.09  										| (33) all_0_18_18 = 0
% 54.62/16.09  										|
% 54.62/16.09  										| From (33) and (1935) follows:
% 54.62/16.09  										| (1596) s(all_0_19_19) = 0
% 54.62/16.09  										|
% 54.62/16.09  										| Instantiating formula (62) with all_0_19_19 and discharging atoms s(all_0_19_19) = 0, yields:
% 54.62/16.09  										| (79) $false
% 54.62/16.09  										|
% 54.62/16.09  										|-The branch is then unsatisfiable
% 54.62/16.09  									|-Branch two:
% 54.62/16.09  									| (1951)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 54.62/16.09  									|
% 54.62/16.09  										| Applying alpha-rule on (1951) yields:
% 54.62/16.09  										| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 54.62/16.09  										| (1516) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 54.62/16.09  										|
% 54.62/16.09  										| Instantiating formula (5867) with all_0_16_16, all_0_17_17 and discharging atoms p(all_0_17_17) = all_0_16_16, yields:
% 54.62/16.09  										| (7971)  ? [v0] :  ? [v1] : (( ~ (all_0_16_16 = 0) | ( ~ (v1 = 0) & p(v0) = v1)) & (all_0_16_16 = 0 | (v1 = 0 & p(v0) = 0)))
% 54.62/16.09  										|
% 54.62/16.09  										| Instantiating (7971) with all_280_0_4372, all_280_1_4373 yields:
% 54.62/16.09  										| (7972) ( ~ (all_0_16_16 = 0) | ( ~ (all_280_0_4372 = 0) & p(all_280_1_4373) = all_280_0_4372)) & (all_0_16_16 = 0 | (all_280_0_4372 = 0 & p(all_280_1_4373) = 0))
% 54.62/16.09  										|
% 54.62/16.09  										| Applying alpha-rule on (7972) yields:
% 54.62/16.09  										| (7973)  ~ (all_0_16_16 = 0) | ( ~ (all_280_0_4372 = 0) & p(all_280_1_4373) = all_280_0_4372)
% 54.62/16.09  										| (7974) all_0_16_16 = 0 | (all_280_0_4372 = 0 & p(all_280_1_4373) = 0)
% 54.62/16.09  										|
% 54.62/16.09  										+-Applying beta-rule and splitting (7974), into two cases.
% 54.62/16.09  										|-Branch one:
% 54.62/16.09  										| (42) all_0_16_16 = 0
% 54.62/16.09  										|
% 54.62/16.09  											| Equations (42) can reduce 71 to:
% 54.62/16.09  											| (59) $false
% 54.62/16.09  											|
% 54.62/16.09  											|-The branch is then unsatisfiable
% 54.62/16.09  										|-Branch two:
% 54.62/16.09  										| (71)  ~ (all_0_16_16 = 0)
% 54.62/16.09  										| (7978) all_280_0_4372 = 0 & p(all_280_1_4373) = 0
% 54.62/16.09  										|
% 54.62/16.09  											| Applying alpha-rule on (7978) yields:
% 54.62/16.09  											| (7979) all_280_0_4372 = 0
% 54.62/16.09  											| (7980) p(all_280_1_4373) = 0
% 54.62/16.09  											|
% 54.62/16.09  											+-Applying beta-rule and splitting (1516), into two cases.
% 54.62/16.09  											|-Branch one:
% 54.62/16.09  											| (1525) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0
% 54.62/16.09  											|
% 54.62/16.09  												| Applying alpha-rule on (1525) yields:
% 54.62/16.09  												| (33) all_0_18_18 = 0
% 54.62/16.09  												| (34)  ~ (all_0_20_20 = 0)
% 54.62/16.09  												| (1528) q(all_0_21_21) = all_0_20_20
% 54.62/16.09  												| (1529) p(all_0_19_19) = 0
% 54.62/16.09  												|
% 54.62/16.09  												| Instantiating formula (1491) with all_0_20_20, all_0_21_21 and discharging atoms q(all_0_21_21) = all_0_20_20, yields:
% 54.62/16.09  												| (483)  ~ (all_0_8_8 = 0) | all_0_20_20 = 0
% 54.62/16.09  												|
% 54.62/16.09  												+-Applying beta-rule and splitting (483), into two cases.
% 54.62/16.09  												|-Branch one:
% 54.62/16.09  												| (55)  ~ (all_0_8_8 = 0)
% 54.62/16.09  												|
% 54.62/16.09  													| Equations (120) can reduce 55 to:
% 54.62/16.09  													| (59) $false
% 54.62/16.09  													|
% 54.62/16.09  													|-The branch is then unsatisfiable
% 54.62/16.09  												|-Branch two:
% 54.62/16.09  												| (120) all_0_8_8 = 0
% 54.62/16.09  												| (81) all_0_20_20 = 0
% 54.62/16.09  												|
% 54.62/16.09  													| Equations (81) can reduce 34 to:
% 54.62/16.09  													| (59) $false
% 54.62/16.09  													|
% 54.62/16.09  													|-The branch is then unsatisfiable
% 54.62/16.09  											|-Branch two:
% 54.62/16.09  											| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 54.62/16.09  											|
% 54.62/16.09  												| Applying alpha-rule on (76) yields:
% 54.62/16.09  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.62/16.09  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.62/16.09  												|
% 54.62/16.09  												| Instantiating formula (78) with all_280_1_4373 and discharging atoms p(all_280_1_4373) = 0, yields:
% 54.62/16.09  												| (79) $false
% 54.62/16.09  												|
% 54.62/16.09  												|-The branch is then unsatisfiable
% 54.62/16.09  						|-Branch two:
% 54.62/16.09  						| (2985)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] :  ~ (q(v0) = 0)
% 54.62/16.09  						|
% 54.62/16.09  							| Applying alpha-rule on (2985) yields:
% 54.62/16.09  							| (41)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 54.62/16.09  							| (212)  ! [v0] :  ~ (q(v0) = 0)
% 54.62/16.09  							|
% 54.62/16.09  							| Instantiating formula (41) with all_41_0_4102, all_41_1_4103 and discharging atoms r(all_41_1_4103) = all_41_0_4102, yields:
% 54.62/16.10  							| (7999) all_41_0_4102 = 0
% 54.62/16.10  							|
% 54.62/16.10  							| Equations (7999) can reduce 7826 to:
% 54.62/16.10  							| (59) $false
% 54.62/16.10  							|
% 54.62/16.10  							|-The branch is then unsatisfiable
% 54.62/16.10  					|-Branch two:
% 54.62/16.10  					| (1667)  ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (r(v0) = 0)
% 54.62/16.10  					|
% 54.62/16.10  						| Applying alpha-rule on (1667) yields:
% 54.62/16.10  						| (52)  ~ (all_0_10_10 = 0)
% 54.62/16.10  						| (47) s(all_0_11_11) = all_0_10_10
% 54.62/16.10  						| (221)  ! [v0] :  ~ (r(v0) = 0)
% 54.62/16.10  						|
% 54.62/16.10  						+-Applying beta-rule and splitting (5870), into two cases.
% 54.62/16.10  						|-Branch one:
% 54.62/16.10  						| (5891) all_0_0_0 = 0 &  ~ (all_0_2_2 = 0) & r(all_0_3_3) = all_0_2_2 & q(all_0_1_1) = 0
% 54.62/16.10  						|
% 54.62/16.10  							| Applying alpha-rule on (5891) yields:
% 54.62/16.10  							| (63) all_0_0_0 = 0
% 54.62/16.10  							| (210)  ~ (all_0_2_2 = 0)
% 54.62/16.10  							| (211) r(all_0_3_3) = all_0_2_2
% 54.62/16.10  							| (5895) q(all_0_1_1) = 0
% 54.62/16.10  							|
% 54.62/16.10  							| Instantiating formula (370) with all_0_2_2, all_0_3_3 and discharging atoms r(all_0_3_3) = all_0_2_2, yields:
% 54.62/16.10  							| (705)  ? [v0] :  ? [v1] : (( ~ (all_0_2_2 = 0) | ( ~ (v1 = 0) & r(v0) = v1)) & (all_0_2_2 = 0 | (v1 = 0 & r(v0) = 0)))
% 54.62/16.10  							|
% 54.62/16.10  							| Instantiating (705) with all_52_0_4428, all_52_1_4429 yields:
% 54.62/16.10  							| (8011) ( ~ (all_0_2_2 = 0) | ( ~ (all_52_0_4428 = 0) & r(all_52_1_4429) = all_52_0_4428)) & (all_0_2_2 = 0 | (all_52_0_4428 = 0 & r(all_52_1_4429) = 0))
% 54.62/16.10  							|
% 54.62/16.10  							| Applying alpha-rule on (8011) yields:
% 54.62/16.10  							| (8012)  ~ (all_0_2_2 = 0) | ( ~ (all_52_0_4428 = 0) & r(all_52_1_4429) = all_52_0_4428)
% 54.62/16.10  							| (8013) all_0_2_2 = 0 | (all_52_0_4428 = 0 & r(all_52_1_4429) = 0)
% 54.62/16.10  							|
% 54.62/16.10  							+-Applying beta-rule and splitting (8013), into two cases.
% 54.62/16.10  							|-Branch one:
% 54.62/16.10  							| (39) all_0_2_2 = 0
% 54.62/16.10  							|
% 54.62/16.10  								| Equations (39) can reduce 210 to:
% 54.62/16.10  								| (59) $false
% 54.62/16.10  								|
% 54.62/16.10  								|-The branch is then unsatisfiable
% 54.62/16.10  							|-Branch two:
% 54.62/16.10  							| (210)  ~ (all_0_2_2 = 0)
% 54.62/16.10  							| (8017) all_52_0_4428 = 0 & r(all_52_1_4429) = 0
% 54.62/16.10  							|
% 54.62/16.10  								| Applying alpha-rule on (8017) yields:
% 54.62/16.10  								| (8018) all_52_0_4428 = 0
% 54.62/16.10  								| (8019) r(all_52_1_4429) = 0
% 54.62/16.10  								|
% 54.62/16.10  								| Instantiating formula (221) with all_52_1_4429 and discharging atoms r(all_52_1_4429) = 0, yields:
% 54.62/16.10  								| (79) $false
% 54.62/16.10  								|
% 54.62/16.10  								|-The branch is then unsatisfiable
% 54.62/16.10  						|-Branch two:
% 54.62/16.10  						| (2985)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] :  ~ (q(v0) = 0)
% 54.62/16.10  						|
% 54.62/16.10  							| Applying alpha-rule on (2985) yields:
% 54.62/16.10  							| (41)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 54.62/16.10  							| (212)  ! [v0] :  ~ (q(v0) = 0)
% 54.62/16.10  							|
% 54.62/16.10  							+-Applying beta-rule and splitting (1838), into two cases.
% 54.62/16.10  							|-Branch one:
% 54.62/16.10  							| (1857) ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))
% 54.62/16.10  							|
% 54.62/16.10  								| Applying alpha-rule on (1857) yields:
% 54.62/16.10  								| (469) (all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))
% 54.62/16.10  								| (1511) (s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))))
% 54.62/16.10  								|
% 54.62/16.10  								+-Applying beta-rule and splitting (1511), into two cases.
% 54.62/16.10  								|-Branch one:
% 54.62/16.10  								| (1512) s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 54.62/16.10  								|
% 54.62/16.10  									| Applying alpha-rule on (1512) yields:
% 54.62/16.10  									| (1513) s(all_0_17_17) = all_0_16_16
% 54.62/16.10  									| (1514)  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 54.62/16.10  									| (1515)  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0))
% 54.62/16.10  									| (1516) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 54.62/16.10  									|
% 54.62/16.10  									| Instantiating formula (1514) with all_0_10_10, all_0_11_11 and discharging atoms s(all_0_11_11) = all_0_10_10, yields:
% 54.62/16.10  									| (657)  ~ (all_0_16_16 = 0) | all_0_10_10 = 0
% 54.62/16.10  									|
% 54.62/16.10  									+-Applying beta-rule and splitting (657), into two cases.
% 54.62/16.10  									|-Branch one:
% 54.62/16.10  									| (71)  ~ (all_0_16_16 = 0)
% 54.62/16.10  									|
% 54.62/16.10  										+-Applying beta-rule and splitting (469), into two cases.
% 54.62/16.10  										|-Branch one:
% 54.62/16.10  										| (471) all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14
% 54.62/16.10  										|
% 54.62/16.10  											| Applying alpha-rule on (471) yields:
% 54.62/16.10  											| (66) all_0_12_12 = 0
% 54.62/16.10  											| (67)  ~ (all_0_14_14 = 0)
% 54.62/16.10  											| (310) s(all_0_13_13) = 0
% 54.62/16.10  											| (475) p(all_0_15_15) = all_0_14_14
% 54.62/16.10  											|
% 54.62/16.10  											| Instantiating formula (1515) with all_0_13_13 and discharging atoms s(all_0_13_13) = 0, yields:
% 54.62/16.10  											| (42) all_0_16_16 = 0
% 54.62/16.10  											|
% 54.62/16.10  											| Equations (42) can reduce 71 to:
% 54.62/16.10  											| (59) $false
% 54.62/16.10  											|
% 54.62/16.10  											|-The branch is then unsatisfiable
% 54.62/16.10  										|-Branch two:
% 54.62/16.10  										| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 54.62/16.10  										|
% 54.62/16.10  											| Applying alpha-rule on (60) yields:
% 54.62/16.10  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.62/16.10  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 54.62/16.10  											|
% 54.62/16.10  											+-Applying beta-rule and splitting (1516), into two cases.
% 54.62/16.10  											|-Branch one:
% 54.62/16.10  											| (1525) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0
% 54.62/16.10  											|
% 54.62/16.10  												| Applying alpha-rule on (1525) yields:
% 54.62/16.10  												| (33) all_0_18_18 = 0
% 54.62/16.10  												| (34)  ~ (all_0_20_20 = 0)
% 54.62/16.10  												| (1528) q(all_0_21_21) = all_0_20_20
% 54.62/16.10  												| (1529) p(all_0_19_19) = 0
% 54.62/16.10  												|
% 54.62/16.10  												| Instantiating formula (5867) with 0, all_0_19_19 and discharging atoms p(all_0_19_19) = 0, yields:
% 54.62/16.10  												| (5930)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & p(v0) = v1)
% 54.62/16.10  												|
% 54.62/16.10  												| Instantiating (5930) with all_69_0_4430, all_69_1_4431 yields:
% 54.62/16.10  												| (8050)  ~ (all_69_0_4430 = 0) & p(all_69_1_4431) = all_69_0_4430
% 54.62/16.10  												|
% 54.62/16.10  												| Applying alpha-rule on (8050) yields:
% 54.62/16.10  												| (8051)  ~ (all_69_0_4430 = 0)
% 54.62/16.10  												| (8052) p(all_69_1_4431) = all_69_0_4430
% 54.62/16.10  												|
% 54.62/16.10  												| Instantiating formula (61) with all_69_0_4430, all_69_1_4431 and discharging atoms p(all_69_1_4431) = all_69_0_4430, yields:
% 54.62/16.10  												| (8053) all_69_0_4430 = 0
% 54.62/16.10  												|
% 54.62/16.10  												| Equations (8053) can reduce 8051 to:
% 54.62/16.10  												| (59) $false
% 54.62/16.10  												|
% 54.62/16.10  												|-The branch is then unsatisfiable
% 54.62/16.10  											|-Branch two:
% 54.62/16.10  											| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 54.62/16.10  											|
% 54.62/16.10  												| Applying alpha-rule on (76) yields:
% 54.62/16.10  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.62/16.10  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.62/16.10  												|
% 54.62/16.10  												| Instantiating formula (77) with all_0_8_8, all_0_9_9 and discharging atoms q(all_0_9_9) = all_0_8_8, yields:
% 54.62/16.10  												| (120) all_0_8_8 = 0
% 54.62/16.10  												|
% 54.62/16.10  												| From (120) and (1490) follows:
% 54.62/16.10  												| (1718) q(all_0_9_9) = 0
% 54.62/16.10  												|
% 54.62/16.10  												| Instantiating formula (212) with all_0_9_9 and discharging atoms q(all_0_9_9) = 0, yields:
% 54.62/16.10  												| (79) $false
% 54.62/16.10  												|
% 54.62/16.10  												|-The branch is then unsatisfiable
% 54.62/16.10  									|-Branch two:
% 54.62/16.10  									| (42) all_0_16_16 = 0
% 54.62/16.10  									| (58) all_0_10_10 = 0
% 54.62/16.10  									|
% 54.62/16.10  										| Equations (58) can reduce 52 to:
% 54.62/16.10  										| (59) $false
% 54.62/16.10  										|
% 54.62/16.10  										|-The branch is then unsatisfiable
% 54.62/16.10  								|-Branch two:
% 54.62/16.10  								| (1545)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))
% 54.62/16.10  								|
% 54.62/16.10  									| Applying alpha-rule on (1545) yields:
% 54.62/16.10  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 54.62/16.10  									| (1547) (all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))
% 54.62/16.11  									|
% 54.62/16.11  									| Instantiating formula (84) with all_0_10_10, all_0_11_11 and discharging atoms s(all_0_11_11) = all_0_10_10, yields:
% 54.62/16.11  									| (1726)  ? [v0] :  ? [v1] : (( ~ (all_0_10_10 = 0) | ( ~ (v1 = 0) & s(v0) = v1)) & (all_0_10_10 = 0 | (v1 = 0 & s(v0) = 0)))
% 54.62/16.11  									|
% 54.62/16.11  									| Instantiating (1726) with all_48_0_4432, all_48_1_4433 yields:
% 54.62/16.11  									| (8068) ( ~ (all_0_10_10 = 0) | ( ~ (all_48_0_4432 = 0) & s(all_48_1_4433) = all_48_0_4432)) & (all_0_10_10 = 0 | (all_48_0_4432 = 0 & s(all_48_1_4433) = 0))
% 54.62/16.11  									|
% 54.62/16.11  									| Applying alpha-rule on (8068) yields:
% 54.62/16.11  									| (8069)  ~ (all_0_10_10 = 0) | ( ~ (all_48_0_4432 = 0) & s(all_48_1_4433) = all_48_0_4432)
% 54.62/16.11  									| (8070) all_0_10_10 = 0 | (all_48_0_4432 = 0 & s(all_48_1_4433) = 0)
% 54.62/16.11  									|
% 54.62/16.11  									+-Applying beta-rule and splitting (8070), into two cases.
% 54.62/16.11  									|-Branch one:
% 54.62/16.11  									| (58) all_0_10_10 = 0
% 54.62/16.11  									|
% 54.62/16.11  										| Equations (58) can reduce 52 to:
% 54.62/16.11  										| (59) $false
% 54.62/16.11  										|
% 54.62/16.11  										|-The branch is then unsatisfiable
% 54.62/16.11  									|-Branch two:
% 54.62/16.11  									| (52)  ~ (all_0_10_10 = 0)
% 54.62/16.11  									| (8074) all_48_0_4432 = 0 & s(all_48_1_4433) = 0
% 54.62/16.11  									|
% 54.62/16.11  										| Applying alpha-rule on (8074) yields:
% 54.62/16.11  										| (8075) all_48_0_4432 = 0
% 54.62/16.11  										| (8076) s(all_48_1_4433) = 0
% 54.62/16.11  										|
% 54.62/16.11  										+-Applying beta-rule and splitting (469), into two cases.
% 54.62/16.11  										|-Branch one:
% 54.62/16.11  										| (471) all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14
% 54.62/16.11  										|
% 54.62/16.11  											| Applying alpha-rule on (471) yields:
% 54.62/16.11  											| (66) all_0_12_12 = 0
% 54.62/16.11  											| (67)  ~ (all_0_14_14 = 0)
% 54.62/16.11  											| (310) s(all_0_13_13) = 0
% 54.62/16.11  											| (475) p(all_0_15_15) = all_0_14_14
% 54.62/16.11  											|
% 54.62/16.11  											| Instantiating formula (5867) with all_0_14_14, all_0_15_15 and discharging atoms p(all_0_15_15) = all_0_14_14, yields:
% 54.62/16.11  											| (6381)  ? [v0] :  ? [v1] : (( ~ (all_0_14_14 = 0) | ( ~ (v1 = 0) & p(v0) = v1)) & (all_0_14_14 = 0 | (v1 = 0 & p(v0) = 0)))
% 54.62/16.11  											|
% 54.62/16.11  											| Instantiating (6381) with all_76_0_4438, all_76_1_4439 yields:
% 54.62/16.11  											| (8083) ( ~ (all_0_14_14 = 0) | ( ~ (all_76_0_4438 = 0) & p(all_76_1_4439) = all_76_0_4438)) & (all_0_14_14 = 0 | (all_76_0_4438 = 0 & p(all_76_1_4439) = 0))
% 54.62/16.11  											|
% 54.62/16.11  											| Applying alpha-rule on (8083) yields:
% 54.62/16.11  											| (8084)  ~ (all_0_14_14 = 0) | ( ~ (all_76_0_4438 = 0) & p(all_76_1_4439) = all_76_0_4438)
% 54.72/16.11  											| (8085) all_0_14_14 = 0 | (all_76_0_4438 = 0 & p(all_76_1_4439) = 0)
% 54.72/16.11  											|
% 54.72/16.11  											+-Applying beta-rule and splitting (8085), into two cases.
% 54.72/16.11  											|-Branch one:
% 54.72/16.11  											| (74) all_0_14_14 = 0
% 54.72/16.11  											|
% 54.72/16.11  												| Equations (74) can reduce 67 to:
% 54.72/16.11  												| (59) $false
% 54.72/16.11  												|
% 54.72/16.11  												|-The branch is then unsatisfiable
% 54.72/16.11  											|-Branch two:
% 54.72/16.11  											| (67)  ~ (all_0_14_14 = 0)
% 54.72/16.11  											| (8089) all_76_0_4438 = 0 & p(all_76_1_4439) = 0
% 54.72/16.11  											|
% 54.72/16.11  												| Applying alpha-rule on (8089) yields:
% 54.72/16.11  												| (8090) all_76_0_4438 = 0
% 54.72/16.11  												| (8091) p(all_76_1_4439) = 0
% 54.72/16.11  												|
% 54.72/16.11  												+-Applying beta-rule and splitting (1547), into two cases.
% 54.72/16.11  												|-Branch one:
% 54.72/16.11  												| (1563) all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.72/16.11  												|
% 54.72/16.11  													| Applying alpha-rule on (1563) yields:
% 54.72/16.11  													| (81) all_0_20_20 = 0
% 54.72/16.11  													| (1565) p(all_0_21_21) = 0
% 54.72/16.11  													| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.72/16.11  													|
% 54.72/16.11  													| Instantiating formula (77) with all_0_8_8, all_0_9_9 and discharging atoms q(all_0_9_9) = all_0_8_8, yields:
% 54.72/16.11  													| (120) all_0_8_8 = 0
% 54.72/16.11  													|
% 54.72/16.11  													| From (120) and (1490) follows:
% 54.72/16.11  													| (1718) q(all_0_9_9) = 0
% 54.72/16.11  													|
% 54.72/16.11  													| Instantiating formula (212) with all_0_9_9 and discharging atoms q(all_0_9_9) = 0, yields:
% 54.72/16.11  													| (79) $false
% 54.72/16.11  													|
% 54.72/16.11  													|-The branch is then unsatisfiable
% 54.72/16.11  												|-Branch two:
% 54.72/16.11  												| (1573)  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)
% 54.72/16.11  												|
% 54.72/16.11  													| Applying alpha-rule on (1573) yields:
% 54.72/16.11  													| (34)  ~ (all_0_20_20 = 0)
% 54.72/16.11  													| (1528) q(all_0_21_21) = all_0_20_20
% 54.72/16.11  													| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.72/16.11  													|
% 54.72/16.11  													| Instantiating formula (78) with all_76_1_4439 and discharging atoms p(all_76_1_4439) = 0, yields:
% 54.72/16.11  													| (79) $false
% 54.72/16.11  													|
% 54.72/16.11  													|-The branch is then unsatisfiable
% 54.72/16.11  										|-Branch two:
% 54.72/16.11  										| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 54.72/16.11  										|
% 54.72/16.11  											| Applying alpha-rule on (60) yields:
% 54.72/16.11  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.72/16.11  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 54.72/16.11  											|
% 54.72/16.11  											| Instantiating formula (62) with all_48_1_4433 and discharging atoms s(all_48_1_4433) = 0, yields:
% 54.72/16.11  											| (79) $false
% 54.72/16.11  											|
% 54.72/16.11  											|-The branch is then unsatisfiable
% 54.72/16.11  							|-Branch two:
% 54.72/16.11  							| (1925) ((all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))
% 54.72/16.11  							|
% 54.72/16.11  								| Applying alpha-rule on (1925) yields:
% 54.72/16.11  								| (1926) (all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))
% 54.72/16.11  								| (1927) (s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))
% 54.72/16.11  								|
% 54.72/16.11  								+-Applying beta-rule and splitting (1927), into two cases.
% 54.72/16.11  								|-Branch one:
% 54.72/16.11  								| (1934) s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))
% 54.72/16.11  								|
% 54.72/16.11  									| Applying alpha-rule on (1934) yields:
% 54.72/16.11  									| (1935) s(all_0_19_19) = all_0_18_18
% 54.72/16.11  									| (1936)  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 54.72/16.11  									| (1937)  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0))
% 54.72/16.11  									| (1547) (all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))
% 54.72/16.11  									|
% 54.72/16.11  									| Instantiating formula (1936) with all_0_10_10, all_0_11_11 and discharging atoms s(all_0_11_11) = all_0_10_10, yields:
% 54.72/16.11  									| (2093)  ~ (all_0_18_18 = 0) | all_0_10_10 = 0
% 54.72/16.11  									|
% 54.72/16.11  									+-Applying beta-rule and splitting (2093), into two cases.
% 54.72/16.11  									|-Branch one:
% 54.72/16.11  									| (2094)  ~ (all_0_18_18 = 0)
% 54.72/16.11  									|
% 54.72/16.11  										+-Applying beta-rule and splitting (1926), into two cases.
% 54.72/16.11  										|-Branch one:
% 54.72/16.11  										| (1928) all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.72/16.11  										|
% 54.72/16.11  											| Applying alpha-rule on (1928) yields:
% 54.72/16.11  											| (42) all_0_16_16 = 0
% 54.72/16.11  											| (1518) s(all_0_17_17) = 0
% 54.72/16.11  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.72/16.11  											|
% 54.72/16.11  											| Instantiating formula (1937) with all_0_17_17 and discharging atoms s(all_0_17_17) = 0, yields:
% 54.72/16.11  											| (33) all_0_18_18 = 0
% 54.72/16.11  											|
% 54.72/16.11  											| Equations (33) can reduce 2094 to:
% 54.72/16.11  											| (59) $false
% 54.72/16.11  											|
% 54.72/16.11  											|-The branch is then unsatisfiable
% 54.72/16.11  										|-Branch two:
% 54.72/16.11  										| (1960)  ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0)
% 54.72/16.11  										|
% 54.72/16.11  											| Applying alpha-rule on (1960) yields:
% 54.72/16.11  											| (71)  ~ (all_0_16_16 = 0)
% 54.72/16.11  											| (1962) p(all_0_17_17) = all_0_16_16
% 54.72/16.12  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 54.72/16.12  											|
% 54.72/16.12  											| Instantiating formula (5867) with all_0_16_16, all_0_17_17 and discharging atoms p(all_0_17_17) = all_0_16_16, yields:
% 54.72/16.12  											| (7971)  ? [v0] :  ? [v1] : (( ~ (all_0_16_16 = 0) | ( ~ (v1 = 0) & p(v0) = v1)) & (all_0_16_16 = 0 | (v1 = 0 & p(v0) = 0)))
% 54.72/16.12  											|
% 54.72/16.12  											| Instantiating (7971) with all_66_0_4470, all_66_1_4471 yields:
% 54.72/16.12  											| (8129) ( ~ (all_0_16_16 = 0) | ( ~ (all_66_0_4470 = 0) & p(all_66_1_4471) = all_66_0_4470)) & (all_0_16_16 = 0 | (all_66_0_4470 = 0 & p(all_66_1_4471) = 0))
% 54.72/16.12  											|
% 54.72/16.12  											| Applying alpha-rule on (8129) yields:
% 54.72/16.12  											| (8130)  ~ (all_0_16_16 = 0) | ( ~ (all_66_0_4470 = 0) & p(all_66_1_4471) = all_66_0_4470)
% 54.72/16.12  											| (8131) all_0_16_16 = 0 | (all_66_0_4470 = 0 & p(all_66_1_4471) = 0)
% 54.72/16.12  											|
% 54.72/16.12  											+-Applying beta-rule and splitting (1547), into two cases.
% 54.72/16.12  											|-Branch one:
% 54.72/16.12  											| (1563) all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.72/16.12  											|
% 54.72/16.12  												| Applying alpha-rule on (1563) yields:
% 54.72/16.12  												| (81) all_0_20_20 = 0
% 54.72/16.12  												| (1565) p(all_0_21_21) = 0
% 54.72/16.12  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.72/16.12  												|
% 54.72/16.12  												| Instantiating formula (77) with all_0_8_8, all_0_9_9 and discharging atoms q(all_0_9_9) = all_0_8_8, yields:
% 54.72/16.12  												| (120) all_0_8_8 = 0
% 54.72/16.12  												|
% 54.72/16.12  												| From (120) and (1490) follows:
% 54.72/16.12  												| (1718) q(all_0_9_9) = 0
% 54.72/16.12  												|
% 54.72/16.12  												| Instantiating formula (212) with all_0_9_9 and discharging atoms q(all_0_9_9) = 0, yields:
% 54.72/16.12  												| (79) $false
% 54.72/16.12  												|
% 54.72/16.12  												|-The branch is then unsatisfiable
% 54.72/16.12  											|-Branch two:
% 54.72/16.12  											| (1573)  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)
% 54.72/16.12  											|
% 54.72/16.12  												| Applying alpha-rule on (1573) yields:
% 54.72/16.12  												| (34)  ~ (all_0_20_20 = 0)
% 54.72/16.12  												| (1528) q(all_0_21_21) = all_0_20_20
% 54.72/16.12  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.72/16.12  												|
% 54.72/16.12  												+-Applying beta-rule and splitting (8131), into two cases.
% 54.72/16.12  												|-Branch one:
% 54.72/16.12  												| (42) all_0_16_16 = 0
% 54.72/16.12  												|
% 54.72/16.12  													| Equations (42) can reduce 71 to:
% 54.72/16.12  													| (59) $false
% 54.72/16.12  													|
% 54.72/16.12  													|-The branch is then unsatisfiable
% 54.72/16.12  												|-Branch two:
% 54.72/16.12  												| (71)  ~ (all_0_16_16 = 0)
% 54.72/16.12  												| (8146) all_66_0_4470 = 0 & p(all_66_1_4471) = 0
% 54.72/16.12  												|
% 54.72/16.12  													| Applying alpha-rule on (8146) yields:
% 54.72/16.12  													| (8147) all_66_0_4470 = 0
% 54.72/16.12  													| (8148) p(all_66_1_4471) = 0
% 54.72/16.12  													|
% 54.72/16.12  													| Instantiating formula (78) with all_66_1_4471 and discharging atoms p(all_66_1_4471) = 0, yields:
% 54.72/16.12  													| (79) $false
% 54.72/16.12  													|
% 54.72/16.12  													|-The branch is then unsatisfiable
% 54.72/16.12  									|-Branch two:
% 54.72/16.12  									| (33) all_0_18_18 = 0
% 54.72/16.12  									| (58) all_0_10_10 = 0
% 54.72/16.12  									|
% 54.72/16.12  										| Equations (58) can reduce 52 to:
% 54.72/16.12  										| (59) $false
% 54.72/16.12  										|
% 54.72/16.12  										|-The branch is then unsatisfiable
% 54.72/16.12  								|-Branch two:
% 54.72/16.12  								| (1951)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 54.72/16.12  								|
% 54.72/16.12  									| Applying alpha-rule on (1951) yields:
% 54.72/16.12  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 54.72/16.12  									| (1516) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 54.72/16.12  									|
% 54.72/16.12  									| Instantiating formula (84) with all_0_10_10, all_0_11_11 and discharging atoms s(all_0_11_11) = all_0_10_10, yields:
% 54.72/16.12  									| (1726)  ? [v0] :  ? [v1] : (( ~ (all_0_10_10 = 0) | ( ~ (v1 = 0) & s(v0) = v1)) & (all_0_10_10 = 0 | (v1 = 0 & s(v0) = 0)))
% 54.72/16.12  									|
% 54.72/16.12  									| Instantiating (1726) with all_48_0_4472, all_48_1_4473 yields:
% 54.72/16.12  									| (8157) ( ~ (all_0_10_10 = 0) | ( ~ (all_48_0_4472 = 0) & s(all_48_1_4473) = all_48_0_4472)) & (all_0_10_10 = 0 | (all_48_0_4472 = 0 & s(all_48_1_4473) = 0))
% 54.72/16.12  									|
% 54.72/16.12  									| Applying alpha-rule on (8157) yields:
% 54.72/16.12  									| (8158)  ~ (all_0_10_10 = 0) | ( ~ (all_48_0_4472 = 0) & s(all_48_1_4473) = all_48_0_4472)
% 54.72/16.12  									| (8159) all_0_10_10 = 0 | (all_48_0_4472 = 0 & s(all_48_1_4473) = 0)
% 54.72/16.12  									|
% 54.72/16.12  									+-Applying beta-rule and splitting (8159), into two cases.
% 54.72/16.12  									|-Branch one:
% 54.72/16.12  									| (58) all_0_10_10 = 0
% 54.72/16.12  									|
% 54.72/16.12  										| Equations (58) can reduce 52 to:
% 54.72/16.12  										| (59) $false
% 54.72/16.12  										|
% 54.72/16.12  										|-The branch is then unsatisfiable
% 54.72/16.12  									|-Branch two:
% 54.72/16.12  									| (52)  ~ (all_0_10_10 = 0)
% 54.72/16.12  									| (8163) all_48_0_4472 = 0 & s(all_48_1_4473) = 0
% 54.72/16.12  									|
% 54.72/16.12  										| Applying alpha-rule on (8163) yields:
% 54.72/16.12  										| (8164) all_48_0_4472 = 0
% 54.72/16.12  										| (8165) s(all_48_1_4473) = 0
% 54.72/16.12  										|
% 54.72/16.12  										+-Applying beta-rule and splitting (1926), into two cases.
% 54.72/16.12  										|-Branch one:
% 54.72/16.12  										| (1928) all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.72/16.12  										|
% 54.72/16.12  											| Applying alpha-rule on (1928) yields:
% 54.72/16.12  											| (42) all_0_16_16 = 0
% 54.72/16.12  											| (1518) s(all_0_17_17) = 0
% 54.72/16.12  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.72/16.12  											|
% 54.72/16.12  											+-Applying beta-rule and splitting (1516), into two cases.
% 54.72/16.12  											|-Branch one:
% 54.72/16.12  											| (1525) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0
% 54.72/16.12  											|
% 54.72/16.12  												| Applying alpha-rule on (1525) yields:
% 54.72/16.12  												| (33) all_0_18_18 = 0
% 54.72/16.12  												| (34)  ~ (all_0_20_20 = 0)
% 54.72/16.12  												| (1528) q(all_0_21_21) = all_0_20_20
% 54.72/16.12  												| (1529) p(all_0_19_19) = 0
% 54.72/16.12  												|
% 54.72/16.12  												| Instantiating formula (5867) with 0, all_0_19_19 and discharging atoms p(all_0_19_19) = 0, yields:
% 54.72/16.12  												| (5930)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & p(v0) = v1)
% 54.72/16.12  												|
% 54.72/16.12  												| Instantiating (5930) with all_96_0_4482, all_96_1_4483 yields:
% 54.72/16.12  												| (8176)  ~ (all_96_0_4482 = 0) & p(all_96_1_4483) = all_96_0_4482
% 54.72/16.12  												|
% 54.72/16.12  												| Applying alpha-rule on (8176) yields:
% 54.72/16.12  												| (8177)  ~ (all_96_0_4482 = 0)
% 54.72/16.12  												| (8178) p(all_96_1_4483) = all_96_0_4482
% 54.72/16.12  												|
% 54.72/16.12  												| Instantiating formula (61) with all_96_0_4482, all_96_1_4483 and discharging atoms p(all_96_1_4483) = all_96_0_4482, yields:
% 54.72/16.12  												| (8179) all_96_0_4482 = 0
% 54.72/16.12  												|
% 54.72/16.13  												| Equations (8179) can reduce 8177 to:
% 54.72/16.13  												| (59) $false
% 54.72/16.13  												|
% 54.72/16.13  												|-The branch is then unsatisfiable
% 54.72/16.13  											|-Branch two:
% 54.72/16.13  											| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 54.72/16.13  											|
% 54.72/16.13  												| Applying alpha-rule on (76) yields:
% 54.72/16.13  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.72/16.13  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.72/16.13  												|
% 54.72/16.13  												| Instantiating formula (77) with all_0_8_8, all_0_9_9 and discharging atoms q(all_0_9_9) = all_0_8_8, yields:
% 54.72/16.13  												| (120) all_0_8_8 = 0
% 54.72/16.13  												|
% 54.72/16.13  												| From (120) and (1490) follows:
% 54.72/16.13  												| (1718) q(all_0_9_9) = 0
% 54.72/16.13  												|
% 54.72/16.13  												| Instantiating formula (212) with all_0_9_9 and discharging atoms q(all_0_9_9) = 0, yields:
% 54.72/16.13  												| (79) $false
% 54.72/16.13  												|
% 54.72/16.13  												|-The branch is then unsatisfiable
% 54.72/16.13  										|-Branch two:
% 54.72/16.13  										| (1960)  ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0)
% 54.72/16.13  										|
% 54.72/16.13  											| Applying alpha-rule on (1960) yields:
% 54.72/16.13  											| (71)  ~ (all_0_16_16 = 0)
% 54.72/16.13  											| (1962) p(all_0_17_17) = all_0_16_16
% 54.72/16.13  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 54.72/16.13  											|
% 54.72/16.13  											| Instantiating formula (62) with all_48_1_4473 and discharging atoms s(all_48_1_4473) = 0, yields:
% 54.72/16.13  											| (79) $false
% 54.72/16.13  											|
% 54.72/16.13  											|-The branch is then unsatisfiable
% 54.72/16.13  			|-Branch two:
% 54.72/16.13  			| (2183)  ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 & r(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))
% 54.72/16.13  			|
% 54.72/16.13  				| Applying alpha-rule on (2183) yields:
% 54.72/16.13  				| (717)  ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0))))
% 54.72/16.13  				| (2185) (all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 & r(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0))
% 54.72/16.13  				|
% 54.72/16.13  				+-Applying beta-rule and splitting (1487), into two cases.
% 54.72/16.13  				|-Branch one:
% 54.72/16.13  				| (1494) r(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (r(v0) = 0)) & ((((all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))
% 54.72/16.13  				|
% 54.72/16.13  					| Applying alpha-rule on (1494) yields:
% 54.72/16.13  					| (1495) r(all_0_13_13) = all_0_12_12
% 54.72/16.13  					| (1496)  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (r(v0) = v1))
% 54.72/16.13  					| (1497)  ! [v0] : (all_0_12_12 = 0 |  ~ (r(v0) = 0))
% 54.72/16.13  					| (1498) (((all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))
% 54.72/16.13  					|
% 54.72/16.13  					+-Applying beta-rule and splitting (2185), into two cases.
% 54.72/16.13  					|-Branch one:
% 54.72/16.13  					| (2191) all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 & r(all_0_9_9) = 0
% 54.72/16.13  					|
% 54.72/16.13  						| Applying alpha-rule on (2191) yields:
% 54.72/16.13  						| (120) all_0_8_8 = 0
% 54.72/16.13  						| (52)  ~ (all_0_10_10 = 0)
% 54.72/16.13  						| (47) s(all_0_11_11) = all_0_10_10
% 54.72/16.13  						| (2195) r(all_0_9_9) = 0
% 54.72/16.13  						|
% 54.72/16.13  						| Instantiating formula (1497) with all_0_9_9 and discharging atoms r(all_0_9_9) = 0, yields:
% 54.72/16.13  						| (66) all_0_12_12 = 0
% 54.72/16.13  						|
% 54.72/16.13  						+-Applying beta-rule and splitting (5870), into two cases.
% 54.72/16.13  						|-Branch one:
% 54.72/16.13  						| (5891) all_0_0_0 = 0 &  ~ (all_0_2_2 = 0) & r(all_0_3_3) = all_0_2_2 & q(all_0_1_1) = 0
% 54.72/16.13  						|
% 54.72/16.13  							| Applying alpha-rule on (5891) yields:
% 54.72/16.13  							| (63) all_0_0_0 = 0
% 54.72/16.13  							| (210)  ~ (all_0_2_2 = 0)
% 54.72/16.13  							| (211) r(all_0_3_3) = all_0_2_2
% 54.72/16.13  							| (5895) q(all_0_1_1) = 0
% 54.72/16.13  							|
% 54.72/16.13  							| Instantiating formula (1496) with all_0_2_2, all_0_3_3 and discharging atoms r(all_0_3_3) = all_0_2_2, yields:
% 54.72/16.13  							| (1661)  ~ (all_0_12_12 = 0) | all_0_2_2 = 0
% 54.72/16.13  							|
% 54.72/16.13  							+-Applying beta-rule and splitting (1661), into two cases.
% 54.72/16.13  							|-Branch one:
% 54.72/16.13  							| (135)  ~ (all_0_12_12 = 0)
% 54.72/16.13  							|
% 54.72/16.13  								| Equations (66) can reduce 135 to:
% 54.72/16.13  								| (59) $false
% 54.72/16.13  								|
% 54.72/16.13  								|-The branch is then unsatisfiable
% 54.72/16.13  							|-Branch two:
% 54.72/16.13  							| (66) all_0_12_12 = 0
% 54.72/16.13  							| (39) all_0_2_2 = 0
% 54.72/16.13  							|
% 54.72/16.13  								| Equations (39) can reduce 210 to:
% 54.72/16.13  								| (59) $false
% 54.72/16.13  								|
% 54.72/16.13  								|-The branch is then unsatisfiable
% 54.72/16.13  						|-Branch two:
% 54.72/16.13  						| (2985)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] :  ~ (q(v0) = 0)
% 54.72/16.13  						|
% 54.72/16.13  							| Applying alpha-rule on (2985) yields:
% 54.72/16.13  							| (41)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 54.72/16.13  							| (212)  ! [v0] :  ~ (q(v0) = 0)
% 54.72/16.13  							|
% 54.72/16.13  							+-Applying beta-rule and splitting (1498), into two cases.
% 54.72/16.13  							|-Branch one:
% 54.72/16.13  							| (1509) ((all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))
% 54.72/16.13  							|
% 54.72/16.13  								| Applying alpha-rule on (1509) yields:
% 54.72/16.13  								| (1510) (all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))
% 54.72/16.13  								| (1511) (s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))))
% 54.72/16.13  								|
% 54.72/16.13  								+-Applying beta-rule and splitting (1511), into two cases.
% 54.72/16.13  								|-Branch one:
% 54.72/16.13  								| (1512) s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 54.72/16.13  								|
% 54.72/16.13  									| Applying alpha-rule on (1512) yields:
% 54.72/16.13  									| (1513) s(all_0_17_17) = all_0_16_16
% 54.72/16.13  									| (1514)  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 54.72/16.13  									| (1515)  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0))
% 54.72/16.13  									| (1516) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 54.72/16.13  									|
% 54.72/16.13  									| Instantiating formula (1514) with all_0_10_10, all_0_11_11 and discharging atoms s(all_0_11_11) = all_0_10_10, yields:
% 54.72/16.13  									| (657)  ~ (all_0_16_16 = 0) | all_0_10_10 = 0
% 54.72/16.13  									|
% 54.72/16.13  									+-Applying beta-rule and splitting (657), into two cases.
% 54.72/16.13  									|-Branch one:
% 54.72/16.13  									| (71)  ~ (all_0_16_16 = 0)
% 54.72/16.13  									|
% 54.72/16.13  										+-Applying beta-rule and splitting (1510), into two cases.
% 54.72/16.13  										|-Branch one:
% 54.72/16.13  										| (1519) all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.72/16.13  										|
% 54.72/16.13  											| Applying alpha-rule on (1519) yields:
% 54.72/16.13  											| (74) all_0_14_14 = 0
% 54.72/16.13  											| (1521) s(all_0_15_15) = 0
% 54.72/16.13  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.72/16.13  											|
% 54.72/16.13  											| Instantiating formula (1515) with all_0_15_15 and discharging atoms s(all_0_15_15) = 0, yields:
% 54.72/16.13  											| (42) all_0_16_16 = 0
% 54.72/16.13  											|
% 54.72/16.13  											| Equations (42) can reduce 71 to:
% 54.72/16.13  											| (59) $false
% 54.72/16.13  											|
% 54.72/16.13  											|-The branch is then unsatisfiable
% 54.72/16.13  										|-Branch two:
% 54.72/16.13  										| (1540)  ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0)
% 54.72/16.13  										|
% 54.72/16.13  											| Applying alpha-rule on (1540) yields:
% 54.72/16.13  											| (67)  ~ (all_0_14_14 = 0)
% 54.72/16.13  											| (475) p(all_0_15_15) = all_0_14_14
% 54.72/16.13  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 54.72/16.13  											|
% 54.72/16.13  											| Instantiating formula (5867) with all_0_14_14, all_0_15_15 and discharging atoms p(all_0_15_15) = all_0_14_14, yields:
% 54.72/16.13  											| (6381)  ? [v0] :  ? [v1] : (( ~ (all_0_14_14 = 0) | ( ~ (v1 = 0) & p(v0) = v1)) & (all_0_14_14 = 0 | (v1 = 0 & p(v0) = 0)))
% 54.72/16.13  											|
% 54.72/16.13  											| Instantiating (6381) with all_69_0_4488, all_69_1_4489 yields:
% 54.72/16.13  											| (8241) ( ~ (all_0_14_14 = 0) | ( ~ (all_69_0_4488 = 0) & p(all_69_1_4489) = all_69_0_4488)) & (all_0_14_14 = 0 | (all_69_0_4488 = 0 & p(all_69_1_4489) = 0))
% 54.72/16.13  											|
% 54.72/16.13  											| Applying alpha-rule on (8241) yields:
% 54.72/16.13  											| (8242)  ~ (all_0_14_14 = 0) | ( ~ (all_69_0_4488 = 0) & p(all_69_1_4489) = all_69_0_4488)
% 54.72/16.14  											| (8243) all_0_14_14 = 0 | (all_69_0_4488 = 0 & p(all_69_1_4489) = 0)
% 54.72/16.14  											|
% 54.72/16.14  											+-Applying beta-rule and splitting (1516), into two cases.
% 54.72/16.14  											|-Branch one:
% 54.72/16.14  											| (1525) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0
% 54.72/16.14  											|
% 54.72/16.14  												| Applying alpha-rule on (1525) yields:
% 54.72/16.14  												| (33) all_0_18_18 = 0
% 54.72/16.14  												| (34)  ~ (all_0_20_20 = 0)
% 54.72/16.14  												| (1528) q(all_0_21_21) = all_0_20_20
% 54.72/16.14  												| (1529) p(all_0_19_19) = 0
% 54.72/16.14  												|
% 54.72/16.14  												| Instantiating formula (717) with all_0_20_20, all_0_21_21 and discharging atoms q(all_0_21_21) = all_0_20_20, yields:
% 54.72/16.14  												| (2420)  ? [v0] :  ? [v1] : (( ~ (all_0_20_20 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_0_20_20 = 0 | (v1 = 0 & q(v0) = 0)))
% 54.72/16.14  												|
% 54.72/16.14  												| Instantiating (2420) with all_83_0_4492, all_83_1_4493 yields:
% 54.72/16.14  												| (8250) ( ~ (all_0_20_20 = 0) | ( ~ (all_83_0_4492 = 0) & q(all_83_1_4493) = all_83_0_4492)) & (all_0_20_20 = 0 | (all_83_0_4492 = 0 & q(all_83_1_4493) = 0))
% 54.72/16.14  												|
% 54.72/16.14  												| Applying alpha-rule on (8250) yields:
% 54.72/16.14  												| (8251)  ~ (all_0_20_20 = 0) | ( ~ (all_83_0_4492 = 0) & q(all_83_1_4493) = all_83_0_4492)
% 54.72/16.14  												| (8252) all_0_20_20 = 0 | (all_83_0_4492 = 0 & q(all_83_1_4493) = 0)
% 54.72/16.14  												|
% 54.72/16.14  												+-Applying beta-rule and splitting (8252), into two cases.
% 54.72/16.14  												|-Branch one:
% 54.72/16.14  												| (81) all_0_20_20 = 0
% 54.72/16.14  												|
% 54.72/16.14  													| Equations (81) can reduce 34 to:
% 54.72/16.14  													| (59) $false
% 54.72/16.14  													|
% 54.72/16.14  													|-The branch is then unsatisfiable
% 54.72/16.14  												|-Branch two:
% 54.72/16.14  												| (34)  ~ (all_0_20_20 = 0)
% 54.72/16.14  												| (8256) all_83_0_4492 = 0 & q(all_83_1_4493) = 0
% 54.72/16.14  												|
% 54.72/16.14  													| Applying alpha-rule on (8256) yields:
% 54.72/16.14  													| (8257) all_83_0_4492 = 0
% 54.72/16.14  													| (8258) q(all_83_1_4493) = 0
% 54.72/16.14  													|
% 54.72/16.14  													| Instantiating formula (212) with all_83_1_4493 and discharging atoms q(all_83_1_4493) = 0, yields:
% 54.72/16.14  													| (79) $false
% 54.72/16.14  													|
% 54.72/16.14  													|-The branch is then unsatisfiable
% 54.72/16.14  											|-Branch two:
% 54.72/16.14  											| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 54.72/16.14  											|
% 54.72/16.14  												| Applying alpha-rule on (76) yields:
% 54.72/16.14  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.72/16.14  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.72/16.14  												|
% 54.72/16.14  												+-Applying beta-rule and splitting (8243), into two cases.
% 54.72/16.14  												|-Branch one:
% 54.72/16.14  												| (74) all_0_14_14 = 0
% 54.72/16.14  												|
% 54.72/16.14  													| Equations (74) can reduce 67 to:
% 54.72/16.14  													| (59) $false
% 54.72/16.14  													|
% 54.72/16.14  													|-The branch is then unsatisfiable
% 54.72/16.14  												|-Branch two:
% 54.72/16.14  												| (67)  ~ (all_0_14_14 = 0)
% 54.72/16.14  												| (8266) all_69_0_4488 = 0 & p(all_69_1_4489) = 0
% 54.72/16.14  												|
% 54.72/16.14  													| Applying alpha-rule on (8266) yields:
% 54.72/16.14  													| (8267) all_69_0_4488 = 0
% 54.72/16.14  													| (8268) p(all_69_1_4489) = 0
% 54.72/16.14  													|
% 54.72/16.14  													| Instantiating formula (78) with all_69_1_4489 and discharging atoms p(all_69_1_4489) = 0, yields:
% 54.72/16.14  													| (79) $false
% 54.72/16.14  													|
% 54.72/16.14  													|-The branch is then unsatisfiable
% 54.72/16.14  									|-Branch two:
% 54.72/16.14  									| (42) all_0_16_16 = 0
% 54.72/16.14  									| (58) all_0_10_10 = 0
% 54.72/16.14  									|
% 54.72/16.14  										| Equations (58) can reduce 52 to:
% 54.72/16.14  										| (59) $false
% 54.72/16.14  										|
% 54.72/16.14  										|-The branch is then unsatisfiable
% 54.72/16.14  								|-Branch two:
% 54.72/16.14  								| (1545)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))
% 54.72/16.14  								|
% 54.72/16.14  									| Applying alpha-rule on (1545) yields:
% 54.72/16.14  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 54.72/16.14  									| (1547) (all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))
% 54.72/16.14  									|
% 54.72/16.14  									| Instantiating formula (84) with all_0_10_10, all_0_11_11 and discharging atoms s(all_0_11_11) = all_0_10_10, yields:
% 54.72/16.14  									| (1726)  ? [v0] :  ? [v1] : (( ~ (all_0_10_10 = 0) | ( ~ (v1 = 0) & s(v0) = v1)) & (all_0_10_10 = 0 | (v1 = 0 & s(v0) = 0)))
% 54.72/16.14  									|
% 54.72/16.14  									| Instantiating (1726) with all_51_0_4494, all_51_1_4495 yields:
% 54.72/16.14  									| (8277) ( ~ (all_0_10_10 = 0) | ( ~ (all_51_0_4494 = 0) & s(all_51_1_4495) = all_51_0_4494)) & (all_0_10_10 = 0 | (all_51_0_4494 = 0 & s(all_51_1_4495) = 0))
% 54.72/16.14  									|
% 54.72/16.14  									| Applying alpha-rule on (8277) yields:
% 54.72/16.14  									| (8278)  ~ (all_0_10_10 = 0) | ( ~ (all_51_0_4494 = 0) & s(all_51_1_4495) = all_51_0_4494)
% 54.72/16.14  									| (8279) all_0_10_10 = 0 | (all_51_0_4494 = 0 & s(all_51_1_4495) = 0)
% 54.72/16.14  									|
% 54.72/16.14  									+-Applying beta-rule and splitting (8279), into two cases.
% 54.72/16.14  									|-Branch one:
% 54.72/16.14  									| (58) all_0_10_10 = 0
% 54.72/16.14  									|
% 54.72/16.14  										| Equations (58) can reduce 52 to:
% 54.72/16.14  										| (59) $false
% 54.72/16.14  										|
% 54.72/16.14  										|-The branch is then unsatisfiable
% 54.72/16.14  									|-Branch two:
% 54.72/16.14  									| (52)  ~ (all_0_10_10 = 0)
% 54.72/16.14  									| (8283) all_51_0_4494 = 0 & s(all_51_1_4495) = 0
% 54.72/16.14  									|
% 54.72/16.14  										| Applying alpha-rule on (8283) yields:
% 54.72/16.14  										| (8284) all_51_0_4494 = 0
% 54.72/16.14  										| (8285) s(all_51_1_4495) = 0
% 54.72/16.14  										|
% 54.72/16.14  										+-Applying beta-rule and splitting (1510), into two cases.
% 54.72/16.14  										|-Branch one:
% 54.72/16.14  										| (1519) all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.72/16.14  										|
% 54.72/16.14  											| Applying alpha-rule on (1519) yields:
% 54.72/16.14  											| (74) all_0_14_14 = 0
% 54.72/16.14  											| (1521) s(all_0_15_15) = 0
% 54.72/16.14  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.72/16.14  											|
% 54.72/16.14  											+-Applying beta-rule and splitting (1547), into two cases.
% 54.72/16.14  											|-Branch one:
% 54.72/16.14  											| (1563) all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.72/16.14  											|
% 54.72/16.14  												| Applying alpha-rule on (1563) yields:
% 54.72/16.14  												| (81) all_0_20_20 = 0
% 54.72/16.14  												| (1565) p(all_0_21_21) = 0
% 54.72/16.14  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.72/16.14  												|
% 54.72/16.14  												| Instantiating formula (5867) with 0, all_0_21_21 and discharging atoms p(all_0_21_21) = 0, yields:
% 54.72/16.14  												| (5930)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & p(v0) = v1)
% 54.72/16.14  												|
% 54.72/16.14  												| Instantiating (5930) with all_100_0_4504, all_100_1_4505 yields:
% 54.72/16.14  												| (8295)  ~ (all_100_0_4504 = 0) & p(all_100_1_4505) = all_100_0_4504
% 54.72/16.14  												|
% 54.72/16.14  												| Applying alpha-rule on (8295) yields:
% 54.72/16.14  												| (8296)  ~ (all_100_0_4504 = 0)
% 54.72/16.15  												| (8297) p(all_100_1_4505) = all_100_0_4504
% 54.72/16.15  												|
% 54.72/16.15  												| Instantiating formula (61) with all_100_0_4504, all_100_1_4505 and discharging atoms p(all_100_1_4505) = all_100_0_4504, yields:
% 54.72/16.15  												| (8298) all_100_0_4504 = 0
% 54.72/16.15  												|
% 54.72/16.15  												| Equations (8298) can reduce 8296 to:
% 54.72/16.15  												| (59) $false
% 54.72/16.15  												|
% 54.72/16.15  												|-The branch is then unsatisfiable
% 54.72/16.15  											|-Branch two:
% 54.72/16.15  											| (1573)  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)
% 54.72/16.15  											|
% 54.72/16.15  												| Applying alpha-rule on (1573) yields:
% 54.72/16.15  												| (34)  ~ (all_0_20_20 = 0)
% 54.72/16.15  												| (1528) q(all_0_21_21) = all_0_20_20
% 54.72/16.15  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.72/16.15  												|
% 54.72/16.15  												| Instantiating formula (717) with all_0_20_20, all_0_21_21 and discharging atoms q(all_0_21_21) = all_0_20_20, yields:
% 54.72/16.15  												| (2420)  ? [v0] :  ? [v1] : (( ~ (all_0_20_20 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_0_20_20 = 0 | (v1 = 0 & q(v0) = 0)))
% 54.72/16.15  												|
% 54.72/16.15  												| Instantiating (2420) with all_100_0_4508, all_100_1_4509 yields:
% 54.72/16.15  												| (8305) ( ~ (all_0_20_20 = 0) | ( ~ (all_100_0_4508 = 0) & q(all_100_1_4509) = all_100_0_4508)) & (all_0_20_20 = 0 | (all_100_0_4508 = 0 & q(all_100_1_4509) = 0))
% 54.72/16.15  												|
% 54.72/16.15  												| Applying alpha-rule on (8305) yields:
% 54.72/16.15  												| (8306)  ~ (all_0_20_20 = 0) | ( ~ (all_100_0_4508 = 0) & q(all_100_1_4509) = all_100_0_4508)
% 54.72/16.15  												| (8307) all_0_20_20 = 0 | (all_100_0_4508 = 0 & q(all_100_1_4509) = 0)
% 54.72/16.15  												|
% 54.72/16.15  												+-Applying beta-rule and splitting (8307), into two cases.
% 54.72/16.15  												|-Branch one:
% 54.72/16.15  												| (81) all_0_20_20 = 0
% 54.72/16.15  												|
% 54.72/16.15  													| Equations (81) can reduce 34 to:
% 54.72/16.15  													| (59) $false
% 54.72/16.15  													|
% 54.72/16.15  													|-The branch is then unsatisfiable
% 54.72/16.15  												|-Branch two:
% 54.72/16.15  												| (34)  ~ (all_0_20_20 = 0)
% 54.72/16.15  												| (8311) all_100_0_4508 = 0 & q(all_100_1_4509) = 0
% 54.72/16.15  												|
% 54.72/16.15  													| Applying alpha-rule on (8311) yields:
% 54.72/16.15  													| (8312) all_100_0_4508 = 0
% 54.72/16.15  													| (8313) q(all_100_1_4509) = 0
% 54.72/16.15  													|
% 54.72/16.15  													| Instantiating formula (212) with all_100_1_4509 and discharging atoms q(all_100_1_4509) = 0, yields:
% 54.72/16.15  													| (79) $false
% 54.72/16.15  													|
% 54.72/16.15  													|-The branch is then unsatisfiable
% 54.72/16.15  										|-Branch two:
% 54.72/16.15  										| (1540)  ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0)
% 54.72/16.15  										|
% 54.72/16.15  											| Applying alpha-rule on (1540) yields:
% 54.72/16.15  											| (67)  ~ (all_0_14_14 = 0)
% 54.72/16.15  											| (475) p(all_0_15_15) = all_0_14_14
% 54.72/16.15  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 54.72/16.15  											|
% 54.72/16.15  											| Instantiating formula (62) with all_51_1_4495 and discharging atoms s(all_51_1_4495) = 0, yields:
% 54.72/16.15  											| (79) $false
% 54.72/16.15  											|
% 54.72/16.15  											|-The branch is then unsatisfiable
% 54.72/16.15  							|-Branch two:
% 54.72/16.15  							| (1583) ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))
% 54.72/16.15  							|
% 54.72/16.15  								| Applying alpha-rule on (1583) yields:
% 54.72/16.15  								| (1584) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))
% 54.72/16.15  								| (1585) (s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))
% 54.72/16.15  								|
% 54.72/16.15  								+-Applying beta-rule and splitting (1585), into two cases.
% 54.72/16.15  								|-Branch one:
% 54.72/16.15  								| (1586) s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))
% 54.72/16.15  								|
% 54.72/16.15  									| Applying alpha-rule on (1586) yields:
% 54.72/16.15  									| (1587) s(all_0_15_15) = all_0_14_14
% 54.72/16.15  									| (1588)  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 54.72/16.15  									| (1589)  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0))
% 54.72/16.15  									| (1590) (all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0))
% 54.72/16.15  									|
% 54.72/16.15  									| Instantiating formula (1588) with all_0_10_10, all_0_11_11 and discharging atoms s(all_0_11_11) = all_0_10_10, yields:
% 54.72/16.15  									| (1767)  ~ (all_0_14_14 = 0) | all_0_10_10 = 0
% 54.72/16.15  									|
% 54.72/16.15  									+-Applying beta-rule and splitting (1767), into two cases.
% 54.72/16.15  									|-Branch one:
% 54.72/16.15  									| (67)  ~ (all_0_14_14 = 0)
% 54.72/16.15  									|
% 54.72/16.15  										+-Applying beta-rule and splitting (1584), into two cases.
% 54.72/16.15  										|-Branch one:
% 54.72/16.15  										| (1593) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20
% 54.72/16.15  										|
% 54.72/16.15  											| Applying alpha-rule on (1593) yields:
% 54.72/16.15  											| (33) all_0_18_18 = 0
% 54.72/16.15  											| (34)  ~ (all_0_20_20 = 0)
% 54.72/16.15  											| (1596) s(all_0_19_19) = 0
% 54.72/16.15  											| (1597) p(all_0_21_21) = all_0_20_20
% 54.72/16.15  											|
% 54.72/16.15  											| Instantiating formula (1589) with all_0_19_19 and discharging atoms s(all_0_19_19) = 0, yields:
% 54.72/16.15  											| (74) all_0_14_14 = 0
% 54.72/16.15  											|
% 54.72/16.15  											| Equations (74) can reduce 67 to:
% 54.72/16.15  											| (59) $false
% 54.72/16.15  											|
% 54.72/16.15  											|-The branch is then unsatisfiable
% 54.72/16.15  										|-Branch two:
% 54.72/16.15  										| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 54.72/16.15  										|
% 54.72/16.15  											| Applying alpha-rule on (60) yields:
% 54.72/16.15  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.72/16.15  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 54.72/16.15  											|
% 54.72/16.15  											+-Applying beta-rule and splitting (1590), into two cases.
% 54.72/16.15  											|-Branch one:
% 54.72/16.15  											| (1599) all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.72/16.15  											|
% 54.72/16.15  												| Applying alpha-rule on (1599) yields:
% 54.72/16.15  												| (42) all_0_16_16 = 0
% 54.72/16.15  												| (1601) p(all_0_17_17) = 0
% 54.72/16.15  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.72/16.15  												|
% 54.72/16.15  												| Instantiating formula (5867) with 0, all_0_17_17 and discharging atoms p(all_0_17_17) = 0, yields:
% 54.72/16.15  												| (5930)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & p(v0) = v1)
% 54.72/16.15  												|
% 54.72/16.15  												| Instantiating (5930) with all_73_0_4512, all_73_1_4513 yields:
% 54.72/16.15  												| (8345)  ~ (all_73_0_4512 = 0) & p(all_73_1_4513) = all_73_0_4512
% 54.72/16.15  												|
% 54.72/16.15  												| Applying alpha-rule on (8345) yields:
% 54.72/16.15  												| (8346)  ~ (all_73_0_4512 = 0)
% 54.72/16.15  												| (8347) p(all_73_1_4513) = all_73_0_4512
% 54.72/16.15  												|
% 54.72/16.15  												| Instantiating formula (61) with all_73_0_4512, all_73_1_4513 and discharging atoms p(all_73_1_4513) = all_73_0_4512, yields:
% 54.72/16.15  												| (8348) all_73_0_4512 = 0
% 54.72/16.15  												|
% 54.72/16.15  												| Equations (8348) can reduce 8346 to:
% 54.72/16.15  												| (59) $false
% 54.72/16.15  												|
% 54.72/16.15  												|-The branch is then unsatisfiable
% 54.72/16.15  											|-Branch two:
% 54.72/16.15  											| (1609)  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)
% 54.72/16.15  											|
% 54.72/16.15  												| Applying alpha-rule on (1609) yields:
% 54.72/16.15  												| (71)  ~ (all_0_16_16 = 0)
% 54.72/16.15  												| (23) q(all_0_17_17) = all_0_16_16
% 54.72/16.15  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.72/16.15  												|
% 54.72/16.15  												| Instantiating formula (717) with all_0_16_16, all_0_17_17 and discharging atoms q(all_0_17_17) = all_0_16_16, yields:
% 54.72/16.15  												| (2513)  ? [v0] :  ? [v1] : (( ~ (all_0_16_16 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_0_16_16 = 0 | (v1 = 0 & q(v0) = 0)))
% 54.72/16.15  												|
% 54.72/16.15  												| Instantiating (2513) with all_73_0_4514, all_73_1_4515 yields:
% 54.72/16.15  												| (8355) ( ~ (all_0_16_16 = 0) | ( ~ (all_73_0_4514 = 0) & q(all_73_1_4515) = all_73_0_4514)) & (all_0_16_16 = 0 | (all_73_0_4514 = 0 & q(all_73_1_4515) = 0))
% 54.72/16.15  												|
% 54.72/16.16  												| Applying alpha-rule on (8355) yields:
% 54.72/16.16  												| (8356)  ~ (all_0_16_16 = 0) | ( ~ (all_73_0_4514 = 0) & q(all_73_1_4515) = all_73_0_4514)
% 54.72/16.16  												| (8357) all_0_16_16 = 0 | (all_73_0_4514 = 0 & q(all_73_1_4515) = 0)
% 54.72/16.16  												|
% 54.72/16.16  												+-Applying beta-rule and splitting (8357), into two cases.
% 54.72/16.16  												|-Branch one:
% 54.72/16.16  												| (42) all_0_16_16 = 0
% 54.72/16.16  												|
% 54.72/16.16  													| Equations (42) can reduce 71 to:
% 54.72/16.16  													| (59) $false
% 54.72/16.16  													|
% 54.72/16.16  													|-The branch is then unsatisfiable
% 54.72/16.16  												|-Branch two:
% 54.72/16.16  												| (71)  ~ (all_0_16_16 = 0)
% 54.72/16.16  												| (8361) all_73_0_4514 = 0 & q(all_73_1_4515) = 0
% 54.72/16.16  												|
% 54.72/16.16  													| Applying alpha-rule on (8361) yields:
% 54.72/16.16  													| (8362) all_73_0_4514 = 0
% 54.72/16.16  													| (8363) q(all_73_1_4515) = 0
% 54.72/16.16  													|
% 54.72/16.16  													| Instantiating formula (212) with all_73_1_4515 and discharging atoms q(all_73_1_4515) = 0, yields:
% 54.72/16.16  													| (79) $false
% 54.72/16.16  													|
% 54.72/16.16  													|-The branch is then unsatisfiable
% 54.72/16.16  									|-Branch two:
% 54.72/16.16  									| (74) all_0_14_14 = 0
% 54.72/16.16  									| (58) all_0_10_10 = 0
% 54.72/16.16  									|
% 54.72/16.16  										| Equations (58) can reduce 52 to:
% 54.72/16.16  										| (59) $false
% 54.72/16.16  										|
% 54.72/16.16  										|-The branch is then unsatisfiable
% 54.72/16.16  								|-Branch two:
% 54.72/16.16  								| (1623)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 54.72/16.16  								|
% 54.72/16.16  									| Applying alpha-rule on (1623) yields:
% 54.72/16.16  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 54.72/16.16  									| (1625) (all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 54.72/16.16  									|
% 54.72/16.16  									| Instantiating formula (84) with all_0_10_10, all_0_11_11 and discharging atoms s(all_0_11_11) = all_0_10_10, yields:
% 54.72/16.16  									| (1726)  ? [v0] :  ? [v1] : (( ~ (all_0_10_10 = 0) | ( ~ (v1 = 0) & s(v0) = v1)) & (all_0_10_10 = 0 | (v1 = 0 & s(v0) = 0)))
% 54.72/16.16  									|
% 54.72/16.16  									| Instantiating (1726) with all_51_0_4516, all_51_1_4517 yields:
% 54.72/16.16  									| (8372) ( ~ (all_0_10_10 = 0) | ( ~ (all_51_0_4516 = 0) & s(all_51_1_4517) = all_51_0_4516)) & (all_0_10_10 = 0 | (all_51_0_4516 = 0 & s(all_51_1_4517) = 0))
% 54.72/16.16  									|
% 54.72/16.16  									| Applying alpha-rule on (8372) yields:
% 54.72/16.16  									| (8373)  ~ (all_0_10_10 = 0) | ( ~ (all_51_0_4516 = 0) & s(all_51_1_4517) = all_51_0_4516)
% 54.72/16.16  									| (8374) all_0_10_10 = 0 | (all_51_0_4516 = 0 & s(all_51_1_4517) = 0)
% 54.72/16.16  									|
% 54.72/16.16  									+-Applying beta-rule and splitting (8374), into two cases.
% 54.72/16.16  									|-Branch one:
% 54.72/16.16  									| (58) all_0_10_10 = 0
% 54.72/16.16  									|
% 54.72/16.16  										| Equations (58) can reduce 52 to:
% 54.72/16.16  										| (59) $false
% 54.72/16.16  										|
% 54.72/16.16  										|-The branch is then unsatisfiable
% 54.72/16.16  									|-Branch two:
% 54.72/16.16  									| (52)  ~ (all_0_10_10 = 0)
% 54.72/16.16  									| (8378) all_51_0_4516 = 0 & s(all_51_1_4517) = 0
% 54.72/16.16  									|
% 54.72/16.16  										| Applying alpha-rule on (8378) yields:
% 54.72/16.16  										| (8379) all_51_0_4516 = 0
% 54.72/16.16  										| (8380) s(all_51_1_4517) = 0
% 54.72/16.16  										|
% 54.72/16.16  										+-Applying beta-rule and splitting (1584), into two cases.
% 54.72/16.16  										|-Branch one:
% 54.72/16.16  										| (1593) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20
% 54.72/16.16  										|
% 54.72/16.16  											| Applying alpha-rule on (1593) yields:
% 54.72/16.16  											| (33) all_0_18_18 = 0
% 54.72/16.16  											| (34)  ~ (all_0_20_20 = 0)
% 54.72/16.16  											| (1596) s(all_0_19_19) = 0
% 54.72/16.16  											| (1597) p(all_0_21_21) = all_0_20_20
% 54.72/16.16  											|
% 54.72/16.16  											| Instantiating formula (5867) with all_0_20_20, all_0_21_21 and discharging atoms p(all_0_21_21) = all_0_20_20, yields:
% 54.72/16.16  											| (7561)  ? [v0] :  ? [v1] : (( ~ (all_0_20_20 = 0) | ( ~ (v1 = 0) & p(v0) = v1)) & (all_0_20_20 = 0 | (v1 = 0 & p(v0) = 0)))
% 54.72/16.16  											|
% 54.72/16.16  											| Instantiating (7561) with all_79_0_4522, all_79_1_4523 yields:
% 54.72/16.16  											| (8387) ( ~ (all_0_20_20 = 0) | ( ~ (all_79_0_4522 = 0) & p(all_79_1_4523) = all_79_0_4522)) & (all_0_20_20 = 0 | (all_79_0_4522 = 0 & p(all_79_1_4523) = 0))
% 54.72/16.16  											|
% 54.72/16.16  											| Applying alpha-rule on (8387) yields:
% 54.72/16.16  											| (8388)  ~ (all_0_20_20 = 0) | ( ~ (all_79_0_4522 = 0) & p(all_79_1_4523) = all_79_0_4522)
% 54.72/16.16  											| (8389) all_0_20_20 = 0 | (all_79_0_4522 = 0 & p(all_79_1_4523) = 0)
% 54.72/16.16  											|
% 54.72/16.16  											+-Applying beta-rule and splitting (8389), into two cases.
% 54.72/16.16  											|-Branch one:
% 54.72/16.16  											| (81) all_0_20_20 = 0
% 54.72/16.16  											|
% 54.72/16.16  												| Equations (81) can reduce 34 to:
% 54.72/16.16  												| (59) $false
% 54.72/16.16  												|
% 54.72/16.16  												|-The branch is then unsatisfiable
% 54.72/16.16  											|-Branch two:
% 54.72/16.16  											| (34)  ~ (all_0_20_20 = 0)
% 54.72/16.16  											| (8393) all_79_0_4522 = 0 & p(all_79_1_4523) = 0
% 54.72/16.16  											|
% 54.72/16.16  												| Applying alpha-rule on (8393) yields:
% 54.72/16.16  												| (8394) all_79_0_4522 = 0
% 54.72/16.16  												| (8395) p(all_79_1_4523) = 0
% 54.72/16.16  												|
% 54.72/16.16  												+-Applying beta-rule and splitting (1625), into two cases.
% 54.72/16.16  												|-Branch one:
% 54.72/16.16  												| (1642) all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0
% 54.72/16.16  												|
% 54.72/16.16  													| Applying alpha-rule on (1642) yields:
% 54.72/16.16  													| (74) all_0_14_14 = 0
% 54.72/16.16  													| (71)  ~ (all_0_16_16 = 0)
% 54.72/16.16  													| (23) q(all_0_17_17) = all_0_16_16
% 54.72/16.16  													| (105) p(all_0_15_15) = 0
% 54.72/16.16  													|
% 54.72/16.16  													| Instantiating formula (717) with all_0_16_16, all_0_17_17 and discharging atoms q(all_0_17_17) = all_0_16_16, yields:
% 54.72/16.16  													| (2513)  ? [v0] :  ? [v1] : (( ~ (all_0_16_16 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_0_16_16 = 0 | (v1 = 0 & q(v0) = 0)))
% 54.72/16.16  													|
% 54.72/16.16  													| Instantiating (2513) with all_183_0_4556, all_183_1_4557 yields:
% 54.72/16.16  													| (8402) ( ~ (all_0_16_16 = 0) | ( ~ (all_183_0_4556 = 0) & q(all_183_1_4557) = all_183_0_4556)) & (all_0_16_16 = 0 | (all_183_0_4556 = 0 & q(all_183_1_4557) = 0))
% 54.72/16.16  													|
% 54.72/16.16  													| Applying alpha-rule on (8402) yields:
% 54.72/16.17  													| (8403)  ~ (all_0_16_16 = 0) | ( ~ (all_183_0_4556 = 0) & q(all_183_1_4557) = all_183_0_4556)
% 54.72/16.17  													| (8404) all_0_16_16 = 0 | (all_183_0_4556 = 0 & q(all_183_1_4557) = 0)
% 54.72/16.17  													|
% 54.72/16.17  													+-Applying beta-rule and splitting (8404), into two cases.
% 54.72/16.17  													|-Branch one:
% 54.72/16.17  													| (42) all_0_16_16 = 0
% 54.72/16.17  													|
% 54.72/16.17  														| Equations (42) can reduce 71 to:
% 54.72/16.17  														| (59) $false
% 54.72/16.17  														|
% 54.72/16.17  														|-The branch is then unsatisfiable
% 54.72/16.17  													|-Branch two:
% 54.72/16.17  													| (71)  ~ (all_0_16_16 = 0)
% 54.72/16.17  													| (8408) all_183_0_4556 = 0 & q(all_183_1_4557) = 0
% 54.72/16.17  													|
% 54.72/16.17  														| Applying alpha-rule on (8408) yields:
% 54.72/16.17  														| (8409) all_183_0_4556 = 0
% 54.72/16.17  														| (8410) q(all_183_1_4557) = 0
% 54.72/16.17  														|
% 54.72/16.17  														| Instantiating formula (212) with all_183_1_4557 and discharging atoms q(all_183_1_4557) = 0, yields:
% 54.72/16.17  														| (79) $false
% 54.72/16.17  														|
% 54.72/16.17  														|-The branch is then unsatisfiable
% 54.72/16.17  												|-Branch two:
% 54.72/16.17  												| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 54.72/16.17  												|
% 54.72/16.17  													| Applying alpha-rule on (76) yields:
% 54.72/16.17  													| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.72/16.17  													| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.72/16.17  													|
% 54.72/16.17  													| Instantiating formula (78) with all_79_1_4523 and discharging atoms p(all_79_1_4523) = 0, yields:
% 54.72/16.17  													| (79) $false
% 54.72/16.17  													|
% 54.72/16.17  													|-The branch is then unsatisfiable
% 54.72/16.17  										|-Branch two:
% 54.72/16.17  										| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 54.72/16.17  										|
% 54.72/16.17  											| Applying alpha-rule on (60) yields:
% 54.72/16.17  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.72/16.17  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 54.72/16.17  											|
% 54.72/16.17  											| Instantiating formula (62) with all_51_1_4517 and discharging atoms s(all_51_1_4517) = 0, yields:
% 54.72/16.17  											| (79) $false
% 54.72/16.17  											|
% 54.72/16.17  											|-The branch is then unsatisfiable
% 54.72/16.17  					|-Branch two:
% 54.72/16.17  					| (219)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)
% 54.72/16.17  					|
% 54.72/16.17  						| Applying alpha-rule on (219) yields:
% 54.72/16.17  						| (220)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))
% 54.72/16.17  						| (221)  ! [v0] :  ~ (r(v0) = 0)
% 54.72/16.17  						|
% 54.72/16.17  						+-Applying beta-rule and splitting (5870), into two cases.
% 54.72/16.17  						|-Branch one:
% 54.72/16.17  						| (5891) all_0_0_0 = 0 &  ~ (all_0_2_2 = 0) & r(all_0_3_3) = all_0_2_2 & q(all_0_1_1) = 0
% 54.72/16.17  						|
% 54.72/16.17  							| Applying alpha-rule on (5891) yields:
% 54.72/16.17  							| (63) all_0_0_0 = 0
% 54.72/16.17  							| (210)  ~ (all_0_2_2 = 0)
% 54.72/16.17  							| (211) r(all_0_3_3) = all_0_2_2
% 54.72/16.17  							| (5895) q(all_0_1_1) = 0
% 54.72/16.17  							|
% 54.72/16.17  							| Instantiating formula (717) with 0, all_0_1_1 and discharging atoms q(all_0_1_1) = 0, yields:
% 54.72/16.17  							| (733)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & q(v0) = v1)
% 54.72/16.17  							|
% 54.72/16.17  							| Instantiating (733) with all_44_0_4562, all_44_1_4563 yields:
% 54.72/16.17  							| (8429)  ~ (all_44_0_4562 = 0) & q(all_44_1_4563) = all_44_0_4562
% 54.72/16.17  							|
% 54.72/16.17  							| Applying alpha-rule on (8429) yields:
% 54.72/16.17  							| (8430)  ~ (all_44_0_4562 = 0)
% 54.72/16.17  							| (8431) q(all_44_1_4563) = all_44_0_4562
% 54.72/16.17  							|
% 54.72/16.17  							| Instantiating formula (717) with all_44_0_4562, all_44_1_4563 and discharging atoms q(all_44_1_4563) = all_44_0_4562, yields:
% 54.72/16.17  							| (8432)  ? [v0] :  ? [v1] : (( ~ (all_44_0_4562 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_44_0_4562 = 0 | (v1 = 0 & q(v0) = 0)))
% 54.72/16.17  							|
% 54.72/16.17  							| Instantiating (8432) with all_55_0_4564, all_55_1_4565 yields:
% 54.72/16.17  							| (8433) ( ~ (all_44_0_4562 = 0) | ( ~ (all_55_0_4564 = 0) & q(all_55_1_4565) = all_55_0_4564)) & (all_44_0_4562 = 0 | (all_55_0_4564 = 0 & q(all_55_1_4565) = 0))
% 54.72/16.17  							|
% 54.72/16.17  							| Applying alpha-rule on (8433) yields:
% 54.72/16.17  							| (8434)  ~ (all_44_0_4562 = 0) | ( ~ (all_55_0_4564 = 0) & q(all_55_1_4565) = all_55_0_4564)
% 54.72/16.17  							| (8435) all_44_0_4562 = 0 | (all_55_0_4564 = 0 & q(all_55_1_4565) = 0)
% 54.72/16.17  							|
% 54.72/16.17  							+-Applying beta-rule and splitting (1498), into two cases.
% 54.72/16.17  							|-Branch one:
% 54.72/16.17  							| (1509) ((all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))
% 54.72/16.17  							|
% 54.72/16.17  								| Applying alpha-rule on (1509) yields:
% 54.72/16.17  								| (1510) (all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))
% 54.72/16.17  								| (1511) (s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))))
% 54.72/16.17  								|
% 54.72/16.17  								+-Applying beta-rule and splitting (1511), into two cases.
% 54.72/16.17  								|-Branch one:
% 54.72/16.17  								| (1512) s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 54.72/16.17  								|
% 54.72/16.17  									| Applying alpha-rule on (1512) yields:
% 54.72/16.17  									| (1513) s(all_0_17_17) = all_0_16_16
% 54.72/16.17  									| (1514)  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 54.72/16.17  									| (1515)  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0))
% 54.72/16.17  									| (1516) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 54.72/16.17  									|
% 54.72/16.17  									+-Applying beta-rule and splitting (8435), into two cases.
% 54.72/16.17  									|-Branch one:
% 54.72/16.17  									| (8444) all_44_0_4562 = 0
% 54.72/16.17  									|
% 54.72/16.18  										| Equations (8444) can reduce 8430 to:
% 54.72/16.18  										| (59) $false
% 54.72/16.18  										|
% 54.72/16.18  										|-The branch is then unsatisfiable
% 54.72/16.18  									|-Branch two:
% 54.72/16.18  									| (8430)  ~ (all_44_0_4562 = 0)
% 54.72/16.18  									| (8447) all_55_0_4564 = 0 & q(all_55_1_4565) = 0
% 54.72/16.18  									|
% 54.72/16.18  										| Instantiating formula (220) with all_0_16_16, all_0_17_17 and discharging atoms s(all_0_17_17) = all_0_16_16, yields:
% 54.72/16.18  										| (42) all_0_16_16 = 0
% 54.72/16.18  										|
% 54.72/16.18  										| From (42) and (1513) follows:
% 54.72/16.18  										| (1518) s(all_0_17_17) = 0
% 54.72/16.18  										|
% 54.72/16.18  										+-Applying beta-rule and splitting (1510), into two cases.
% 54.72/16.18  										|-Branch one:
% 54.72/16.18  										| (1519) all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.72/16.18  										|
% 54.72/16.18  											| Applying alpha-rule on (1519) yields:
% 54.72/16.18  											| (74) all_0_14_14 = 0
% 54.72/16.18  											| (1521) s(all_0_15_15) = 0
% 54.72/16.18  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.72/16.18  											|
% 54.72/16.18  											+-Applying beta-rule and splitting (1516), into two cases.
% 54.72/16.18  											|-Branch one:
% 54.72/16.18  											| (1525) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0
% 54.72/16.18  											|
% 54.72/16.18  												| Applying alpha-rule on (1525) yields:
% 54.72/16.18  												| (33) all_0_18_18 = 0
% 54.72/16.18  												| (34)  ~ (all_0_20_20 = 0)
% 54.72/16.18  												| (1528) q(all_0_21_21) = all_0_20_20
% 54.72/16.18  												| (1529) p(all_0_19_19) = 0
% 54.72/16.18  												|
% 54.72/16.18  												| Instantiating formula (5867) with 0, all_0_19_19 and discharging atoms p(all_0_19_19) = 0, yields:
% 54.72/16.18  												| (5930)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & p(v0) = v1)
% 54.72/16.18  												|
% 54.72/16.18  												| Instantiating (5930) with all_112_0_4574, all_112_1_4575 yields:
% 54.72/16.18  												| (8460)  ~ (all_112_0_4574 = 0) & p(all_112_1_4575) = all_112_0_4574
% 54.72/16.18  												|
% 54.72/16.18  												| Applying alpha-rule on (8460) yields:
% 54.72/16.18  												| (8461)  ~ (all_112_0_4574 = 0)
% 54.72/16.18  												| (8462) p(all_112_1_4575) = all_112_0_4574
% 54.72/16.18  												|
% 54.72/16.18  												| Instantiating formula (61) with all_112_0_4574, all_112_1_4575 and discharging atoms p(all_112_1_4575) = all_112_0_4574, yields:
% 54.72/16.18  												| (8463) all_112_0_4574 = 0
% 54.72/16.18  												|
% 54.72/16.18  												| Equations (8463) can reduce 8461 to:
% 54.72/16.18  												| (59) $false
% 54.72/16.18  												|
% 54.72/16.18  												|-The branch is then unsatisfiable
% 54.72/16.18  											|-Branch two:
% 54.72/16.18  											| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 54.72/16.18  											|
% 54.72/16.18  												| Applying alpha-rule on (76) yields:
% 54.72/16.18  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.72/16.18  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.72/16.18  												|
% 54.72/16.18  												| Instantiating formula (77) with all_44_0_4562, all_44_1_4563 and discharging atoms q(all_44_1_4563) = all_44_0_4562, yields:
% 54.72/16.18  												| (8444) all_44_0_4562 = 0
% 54.72/16.18  												|
% 54.72/16.18  												| Equations (8444) can reduce 8430 to:
% 54.72/16.18  												| (59) $false
% 54.72/16.18  												|
% 54.72/16.18  												|-The branch is then unsatisfiable
% 54.72/16.18  										|-Branch two:
% 54.72/16.18  										| (1540)  ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0)
% 54.87/16.18  										|
% 54.87/16.18  											| Applying alpha-rule on (1540) yields:
% 54.87/16.18  											| (67)  ~ (all_0_14_14 = 0)
% 54.87/16.18  											| (475) p(all_0_15_15) = all_0_14_14
% 54.87/16.18  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 54.87/16.18  											|
% 54.87/16.18  											| Instantiating formula (62) with all_0_17_17 and discharging atoms s(all_0_17_17) = 0, yields:
% 54.87/16.18  											| (79) $false
% 54.87/16.18  											|
% 54.87/16.18  											|-The branch is then unsatisfiable
% 54.87/16.18  								|-Branch two:
% 54.87/16.18  								| (1545)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))
% 54.87/16.18  								|
% 54.87/16.18  									| Applying alpha-rule on (1545) yields:
% 54.87/16.18  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 54.87/16.18  									| (1547) (all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))
% 54.87/16.18  									|
% 54.87/16.18  									+-Applying beta-rule and splitting (1510), into two cases.
% 54.87/16.18  									|-Branch one:
% 54.87/16.18  									| (1519) all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.87/16.18  									|
% 54.87/16.18  										| Applying alpha-rule on (1519) yields:
% 54.87/16.18  										| (74) all_0_14_14 = 0
% 54.87/16.18  										| (1521) s(all_0_15_15) = 0
% 54.87/16.18  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.87/16.18  										|
% 54.87/16.18  										| Instantiating formula (84) with 0, all_0_15_15 and discharging atoms s(all_0_15_15) = 0, yields:
% 54.87/16.18  										| (278)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & s(v0) = v1)
% 54.87/16.18  										|
% 54.87/16.18  										| Instantiating (278) with all_75_0_4582, all_75_1_4583 yields:
% 54.87/16.18  										| (8483)  ~ (all_75_0_4582 = 0) & s(all_75_1_4583) = all_75_0_4582
% 54.87/16.18  										|
% 54.87/16.18  										| Applying alpha-rule on (8483) yields:
% 54.87/16.18  										| (8484)  ~ (all_75_0_4582 = 0)
% 54.87/16.18  										| (8485) s(all_75_1_4583) = all_75_0_4582
% 54.87/16.18  										|
% 54.87/16.18  										| Instantiating formula (220) with all_75_0_4582, all_75_1_4583 and discharging atoms s(all_75_1_4583) = all_75_0_4582, yields:
% 54.87/16.18  										| (8486) all_75_0_4582 = 0
% 54.87/16.18  										|
% 54.87/16.18  										| Equations (8486) can reduce 8484 to:
% 54.87/16.18  										| (59) $false
% 54.87/16.18  										|
% 54.87/16.18  										|-The branch is then unsatisfiable
% 54.87/16.18  									|-Branch two:
% 54.87/16.18  									| (1540)  ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0)
% 54.87/16.18  									|
% 54.87/16.18  										| Applying alpha-rule on (1540) yields:
% 54.87/16.18  										| (67)  ~ (all_0_14_14 = 0)
% 54.87/16.18  										| (475) p(all_0_15_15) = all_0_14_14
% 54.87/16.18  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 54.87/16.18  										|
% 54.87/16.18  										+-Applying beta-rule and splitting (8435), into two cases.
% 54.87/16.18  										|-Branch one:
% 54.87/16.18  										| (8444) all_44_0_4562 = 0
% 54.87/16.18  										|
% 54.87/16.18  											| Equations (8444) can reduce 8430 to:
% 54.87/16.18  											| (59) $false
% 54.87/16.18  											|
% 54.87/16.18  											|-The branch is then unsatisfiable
% 54.87/16.18  										|-Branch two:
% 54.87/16.18  										| (8430)  ~ (all_44_0_4562 = 0)
% 54.87/16.18  										| (8447) all_55_0_4564 = 0 & q(all_55_1_4565) = 0
% 54.87/16.18  										|
% 54.87/16.19  											| Instantiating formula (5867) with all_0_14_14, all_0_15_15 and discharging atoms p(all_0_15_15) = all_0_14_14, yields:
% 54.87/16.19  											| (6381)  ? [v0] :  ? [v1] : (( ~ (all_0_14_14 = 0) | ( ~ (v1 = 0) & p(v0) = v1)) & (all_0_14_14 = 0 | (v1 = 0 & p(v0) = 0)))
% 54.87/16.19  											|
% 54.87/16.19  											| Instantiating (6381) with all_73_0_4584, all_73_1_4585 yields:
% 54.87/16.19  											| (8497) ( ~ (all_0_14_14 = 0) | ( ~ (all_73_0_4584 = 0) & p(all_73_1_4585) = all_73_0_4584)) & (all_0_14_14 = 0 | (all_73_0_4584 = 0 & p(all_73_1_4585) = 0))
% 54.87/16.19  											|
% 54.87/16.19  											| Applying alpha-rule on (8497) yields:
% 54.87/16.19  											| (8498)  ~ (all_0_14_14 = 0) | ( ~ (all_73_0_4584 = 0) & p(all_73_1_4585) = all_73_0_4584)
% 54.87/16.19  											| (8499) all_0_14_14 = 0 | (all_73_0_4584 = 0 & p(all_73_1_4585) = 0)
% 54.87/16.19  											|
% 54.87/16.19  											+-Applying beta-rule and splitting (8499), into two cases.
% 54.87/16.19  											|-Branch one:
% 54.87/16.19  											| (74) all_0_14_14 = 0
% 54.87/16.19  											|
% 54.87/16.19  												| Equations (74) can reduce 67 to:
% 54.87/16.19  												| (59) $false
% 54.87/16.19  												|
% 54.87/16.19  												|-The branch is then unsatisfiable
% 54.87/16.19  											|-Branch two:
% 54.87/16.19  											| (67)  ~ (all_0_14_14 = 0)
% 54.87/16.19  											| (8503) all_73_0_4584 = 0 & p(all_73_1_4585) = 0
% 54.87/16.19  											|
% 54.87/16.19  												| Applying alpha-rule on (8503) yields:
% 54.87/16.19  												| (8504) all_73_0_4584 = 0
% 54.87/16.19  												| (8505) p(all_73_1_4585) = 0
% 54.87/16.19  												|
% 54.87/16.19  												+-Applying beta-rule and splitting (1547), into two cases.
% 54.87/16.19  												|-Branch one:
% 54.87/16.19  												| (1563) all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.87/16.19  												|
% 54.87/16.19  													| Applying alpha-rule on (1563) yields:
% 54.87/16.19  													| (81) all_0_20_20 = 0
% 54.87/16.19  													| (1565) p(all_0_21_21) = 0
% 54.87/16.19  													| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.87/16.19  													|
% 54.87/16.19  													| Instantiating formula (77) with all_44_0_4562, all_44_1_4563 and discharging atoms q(all_44_1_4563) = all_44_0_4562, yields:
% 54.87/16.19  													| (8444) all_44_0_4562 = 0
% 54.87/16.19  													|
% 54.87/16.19  													| Equations (8444) can reduce 8430 to:
% 54.87/16.19  													| (59) $false
% 54.87/16.19  													|
% 54.87/16.19  													|-The branch is then unsatisfiable
% 54.87/16.19  												|-Branch two:
% 54.87/16.19  												| (1573)  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)
% 54.87/16.19  												|
% 54.87/16.19  													| Applying alpha-rule on (1573) yields:
% 54.87/16.19  													| (34)  ~ (all_0_20_20 = 0)
% 54.87/16.19  													| (1528) q(all_0_21_21) = all_0_20_20
% 54.87/16.19  													| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.87/16.19  													|
% 54.87/16.19  													| Instantiating formula (78) with all_73_1_4585 and discharging atoms p(all_73_1_4585) = 0, yields:
% 54.87/16.19  													| (79) $false
% 54.87/16.19  													|
% 54.87/16.19  													|-The branch is then unsatisfiable
% 54.87/16.19  							|-Branch two:
% 54.87/16.19  							| (1583) ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))
% 54.87/16.19  							|
% 54.87/16.19  								| Applying alpha-rule on (1583) yields:
% 54.87/16.19  								| (1584) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))
% 54.87/16.19  								| (1585) (s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))
% 54.87/16.19  								|
% 54.87/16.19  								+-Applying beta-rule and splitting (1585), into two cases.
% 54.87/16.19  								|-Branch one:
% 54.87/16.19  								| (1586) s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))
% 54.87/16.19  								|
% 54.87/16.19  									| Applying alpha-rule on (1586) yields:
% 54.87/16.19  									| (1587) s(all_0_15_15) = all_0_14_14
% 54.87/16.19  									| (1588)  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 54.87/16.19  									| (1589)  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0))
% 54.87/16.19  									| (1590) (all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0))
% 54.87/16.19  									|
% 54.87/16.19  									+-Applying beta-rule and splitting (8435), into two cases.
% 54.87/16.19  									|-Branch one:
% 54.87/16.19  									| (8444) all_44_0_4562 = 0
% 54.87/16.19  									|
% 54.87/16.19  										| Equations (8444) can reduce 8430 to:
% 54.87/16.19  										| (59) $false
% 54.87/16.19  										|
% 54.87/16.19  										|-The branch is then unsatisfiable
% 54.87/16.19  									|-Branch two:
% 54.87/16.19  									| (8430)  ~ (all_44_0_4562 = 0)
% 54.87/16.19  									| (8447) all_55_0_4564 = 0 & q(all_55_1_4565) = 0
% 54.87/16.19  									|
% 54.87/16.19  										| Instantiating formula (220) with all_0_14_14, all_0_15_15 and discharging atoms s(all_0_15_15) = all_0_14_14, yields:
% 54.87/16.19  										| (74) all_0_14_14 = 0
% 54.87/16.19  										|
% 54.87/16.19  										| From (74) and (1587) follows:
% 54.87/16.19  										| (1521) s(all_0_15_15) = 0
% 54.87/16.19  										|
% 54.87/16.19  										+-Applying beta-rule and splitting (1584), into two cases.
% 54.87/16.19  										|-Branch one:
% 54.87/16.19  										| (1593) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20
% 54.87/16.19  										|
% 54.87/16.19  											| Applying alpha-rule on (1593) yields:
% 54.87/16.19  											| (33) all_0_18_18 = 0
% 54.87/16.19  											| (34)  ~ (all_0_20_20 = 0)
% 54.87/16.19  											| (1596) s(all_0_19_19) = 0
% 54.87/16.19  											| (1597) p(all_0_21_21) = all_0_20_20
% 54.87/16.19  											|
% 54.87/16.19  											| Instantiating formula (5867) with all_0_20_20, all_0_21_21 and discharging atoms p(all_0_21_21) = all_0_20_20, yields:
% 54.87/16.19  											| (7561)  ? [v0] :  ? [v1] : (( ~ (all_0_20_20 = 0) | ( ~ (v1 = 0) & p(v0) = v1)) & (all_0_20_20 = 0 | (v1 = 0 & p(v0) = 0)))
% 54.87/16.19  											|
% 54.87/16.20  											| Instantiating (7561) with all_92_0_4624, all_92_1_4625 yields:
% 54.87/16.20  											| (8537) ( ~ (all_0_20_20 = 0) | ( ~ (all_92_0_4624 = 0) & p(all_92_1_4625) = all_92_0_4624)) & (all_0_20_20 = 0 | (all_92_0_4624 = 0 & p(all_92_1_4625) = 0))
% 54.87/16.20  											|
% 54.87/16.20  											| Applying alpha-rule on (8537) yields:
% 54.87/16.20  											| (8538)  ~ (all_0_20_20 = 0) | ( ~ (all_92_0_4624 = 0) & p(all_92_1_4625) = all_92_0_4624)
% 54.87/16.20  											| (8539) all_0_20_20 = 0 | (all_92_0_4624 = 0 & p(all_92_1_4625) = 0)
% 54.87/16.20  											|
% 54.87/16.20  											+-Applying beta-rule and splitting (8539), into two cases.
% 54.87/16.20  											|-Branch one:
% 54.87/16.20  											| (81) all_0_20_20 = 0
% 54.87/16.20  											|
% 54.87/16.20  												| Equations (81) can reduce 34 to:
% 54.87/16.20  												| (59) $false
% 54.87/16.20  												|
% 54.87/16.20  												|-The branch is then unsatisfiable
% 54.87/16.20  											|-Branch two:
% 54.87/16.20  											| (34)  ~ (all_0_20_20 = 0)
% 54.87/16.20  											| (8543) all_92_0_4624 = 0 & p(all_92_1_4625) = 0
% 54.87/16.20  											|
% 54.87/16.20  												| Applying alpha-rule on (8543) yields:
% 54.87/16.20  												| (8544) all_92_0_4624 = 0
% 54.87/16.20  												| (8545) p(all_92_1_4625) = 0
% 54.87/16.20  												|
% 54.87/16.20  												+-Applying beta-rule and splitting (1590), into two cases.
% 54.87/16.20  												|-Branch one:
% 54.87/16.20  												| (1599) all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.87/16.20  												|
% 54.87/16.20  													| Applying alpha-rule on (1599) yields:
% 54.87/16.20  													| (42) all_0_16_16 = 0
% 54.87/16.20  													| (1601) p(all_0_17_17) = 0
% 54.87/16.20  													| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.87/16.20  													|
% 54.87/16.20  													| Instantiating formula (77) with all_44_0_4562, all_44_1_4563 and discharging atoms q(all_44_1_4563) = all_44_0_4562, yields:
% 54.87/16.20  													| (8444) all_44_0_4562 = 0
% 54.87/16.20  													|
% 54.87/16.20  													| Equations (8444) can reduce 8430 to:
% 54.87/16.20  													| (59) $false
% 54.87/16.20  													|
% 54.87/16.20  													|-The branch is then unsatisfiable
% 54.87/16.20  												|-Branch two:
% 54.87/16.20  												| (1609)  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)
% 54.87/16.20  												|
% 54.87/16.20  													| Applying alpha-rule on (1609) yields:
% 54.87/16.20  													| (71)  ~ (all_0_16_16 = 0)
% 54.87/16.20  													| (23) q(all_0_17_17) = all_0_16_16
% 54.87/16.20  													| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.87/16.20  													|
% 54.87/16.20  													| Instantiating formula (78) with all_92_1_4625 and discharging atoms p(all_92_1_4625) = 0, yields:
% 54.87/16.20  													| (79) $false
% 54.87/16.20  													|
% 54.87/16.20  													|-The branch is then unsatisfiable
% 54.87/16.20  										|-Branch two:
% 54.87/16.20  										| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 54.87/16.20  										|
% 54.87/16.20  											| Applying alpha-rule on (60) yields:
% 54.87/16.20  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.87/16.20  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 54.87/16.20  											|
% 54.87/16.20  											| Instantiating formula (62) with all_0_15_15 and discharging atoms s(all_0_15_15) = 0, yields:
% 54.87/16.20  											| (79) $false
% 54.87/16.20  											|
% 54.87/16.20  											|-The branch is then unsatisfiable
% 54.87/16.20  								|-Branch two:
% 54.87/16.20  								| (1623)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 54.87/16.20  								|
% 54.87/16.20  									| Applying alpha-rule on (1623) yields:
% 54.87/16.20  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 54.87/16.20  									| (1625) (all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 54.87/16.20  									|
% 54.87/16.20  									+-Applying beta-rule and splitting (1584), into two cases.
% 54.87/16.20  									|-Branch one:
% 54.87/16.20  									| (1593) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20
% 54.87/16.20  									|
% 54.87/16.20  										| Applying alpha-rule on (1593) yields:
% 54.87/16.20  										| (33) all_0_18_18 = 0
% 54.87/16.20  										| (34)  ~ (all_0_20_20 = 0)
% 54.87/16.20  										| (1596) s(all_0_19_19) = 0
% 54.87/16.20  										| (1597) p(all_0_21_21) = all_0_20_20
% 54.87/16.20  										|
% 54.87/16.20  										| Instantiating formula (84) with 0, all_0_19_19 and discharging atoms s(all_0_19_19) = 0, yields:
% 54.87/16.20  										| (278)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & s(v0) = v1)
% 54.87/16.20  										|
% 54.87/16.20  										| Instantiating (278) with all_73_0_4654, all_73_1_4655 yields:
% 54.87/16.20  										| (8570)  ~ (all_73_0_4654 = 0) & s(all_73_1_4655) = all_73_0_4654
% 54.87/16.20  										|
% 54.87/16.20  										| Applying alpha-rule on (8570) yields:
% 54.87/16.20  										| (8571)  ~ (all_73_0_4654 = 0)
% 54.87/16.20  										| (8572) s(all_73_1_4655) = all_73_0_4654
% 54.87/16.20  										|
% 54.87/16.20  										| Instantiating formula (220) with all_73_0_4654, all_73_1_4655 and discharging atoms s(all_73_1_4655) = all_73_0_4654, yields:
% 54.87/16.20  										| (8573) all_73_0_4654 = 0
% 54.87/16.20  										|
% 54.87/16.20  										| Equations (8573) can reduce 8571 to:
% 54.87/16.20  										| (59) $false
% 54.87/16.20  										|
% 54.87/16.20  										|-The branch is then unsatisfiable
% 54.87/16.20  									|-Branch two:
% 54.87/16.20  									| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 54.87/16.20  									|
% 54.87/16.20  										| Applying alpha-rule on (60) yields:
% 54.87/16.20  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.87/16.20  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 54.87/16.20  										|
% 54.87/16.20  										+-Applying beta-rule and splitting (8435), into two cases.
% 54.87/16.20  										|-Branch one:
% 54.87/16.20  										| (8444) all_44_0_4562 = 0
% 54.87/16.20  										|
% 54.87/16.20  											| Equations (8444) can reduce 8430 to:
% 54.87/16.20  											| (59) $false
% 54.87/16.20  											|
% 54.87/16.20  											|-The branch is then unsatisfiable
% 54.87/16.20  										|-Branch two:
% 54.87/16.20  										| (8430)  ~ (all_44_0_4562 = 0)
% 54.87/16.20  										| (8447) all_55_0_4564 = 0 & q(all_55_1_4565) = 0
% 54.87/16.20  										|
% 54.87/16.20  											+-Applying beta-rule and splitting (1625), into two cases.
% 54.87/16.20  											|-Branch one:
% 54.87/16.20  											| (1642) all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0
% 54.87/16.20  											|
% 54.87/16.20  												| Applying alpha-rule on (1642) yields:
% 54.87/16.20  												| (74) all_0_14_14 = 0
% 54.87/16.20  												| (71)  ~ (all_0_16_16 = 0)
% 54.87/16.20  												| (23) q(all_0_17_17) = all_0_16_16
% 54.87/16.20  												| (105) p(all_0_15_15) = 0
% 54.87/16.20  												|
% 54.87/16.20  												| Instantiating formula (5867) with 0, all_0_15_15 and discharging atoms p(all_0_15_15) = 0, yields:
% 54.87/16.20  												| (5930)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & p(v0) = v1)
% 54.87/16.20  												|
% 54.87/16.20  												| Instantiating (5930) with all_91_0_4662, all_91_1_4663 yields:
% 54.87/16.21  												| (8588)  ~ (all_91_0_4662 = 0) & p(all_91_1_4663) = all_91_0_4662
% 54.87/16.21  												|
% 54.87/16.21  												| Applying alpha-rule on (8588) yields:
% 54.87/16.21  												| (8589)  ~ (all_91_0_4662 = 0)
% 54.87/16.21  												| (8590) p(all_91_1_4663) = all_91_0_4662
% 54.87/16.21  												|
% 54.87/16.21  												| Instantiating formula (61) with all_91_0_4662, all_91_1_4663 and discharging atoms p(all_91_1_4663) = all_91_0_4662, yields:
% 54.87/16.21  												| (8591) all_91_0_4662 = 0
% 54.87/16.21  												|
% 54.87/16.21  												| Equations (8591) can reduce 8589 to:
% 54.87/16.21  												| (59) $false
% 54.87/16.21  												|
% 54.87/16.21  												|-The branch is then unsatisfiable
% 54.87/16.21  											|-Branch two:
% 54.87/16.21  											| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 54.87/16.21  											|
% 54.87/16.21  												| Applying alpha-rule on (76) yields:
% 54.87/16.21  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.87/16.21  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.87/16.21  												|
% 54.87/16.21  												| Instantiating formula (77) with all_44_0_4562, all_44_1_4563 and discharging atoms q(all_44_1_4563) = all_44_0_4562, yields:
% 54.87/16.21  												| (8444) all_44_0_4562 = 0
% 54.87/16.21  												|
% 54.87/16.21  												| Equations (8444) can reduce 8430 to:
% 54.87/16.21  												| (59) $false
% 54.87/16.21  												|
% 54.87/16.21  												|-The branch is then unsatisfiable
% 54.87/16.21  						|-Branch two:
% 54.87/16.21  						| (2985)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] :  ~ (q(v0) = 0)
% 54.87/16.21  						|
% 54.87/16.21  							| Applying alpha-rule on (2985) yields:
% 54.87/16.21  							| (41)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 54.87/16.21  							| (212)  ! [v0] :  ~ (q(v0) = 0)
% 54.87/16.21  							|
% 54.87/16.21  							| Instantiating formula (41) with all_0_12_12, all_0_13_13 and discharging atoms r(all_0_13_13) = all_0_12_12, yields:
% 54.87/16.21  							| (66) all_0_12_12 = 0
% 54.87/16.21  							|
% 54.87/16.21  							| From (66) and (1495) follows:
% 54.87/16.21  							| (1676) r(all_0_13_13) = 0
% 54.87/16.21  							|
% 54.87/16.21  							| Instantiating formula (221) with all_0_13_13 and discharging atoms r(all_0_13_13) = 0, yields:
% 54.87/16.21  							| (79) $false
% 54.87/16.21  							|
% 54.87/16.21  							|-The branch is then unsatisfiable
% 54.87/16.21  				|-Branch two:
% 54.87/16.21  				| (1836)  ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))
% 54.87/16.21  				|
% 54.87/16.21  					| Applying alpha-rule on (1836) yields:
% 54.87/16.21  					| (370)  ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0))))
% 54.87/16.21  					| (1838) (((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))
% 54.87/16.21  					|
% 54.87/16.21  					+-Applying beta-rule and splitting (2185), into two cases.
% 54.87/16.21  					|-Branch one:
% 54.87/16.21  					| (2191) all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 & r(all_0_9_9) = 0
% 54.87/16.21  					|
% 54.87/16.21  						| Applying alpha-rule on (2191) yields:
% 54.87/16.21  						| (120) all_0_8_8 = 0
% 54.87/16.21  						| (52)  ~ (all_0_10_10 = 0)
% 54.87/16.21  						| (47) s(all_0_11_11) = all_0_10_10
% 54.87/16.21  						| (2195) r(all_0_9_9) = 0
% 54.87/16.21  						|
% 54.87/16.21  						| Instantiating formula (370) with 0, all_0_9_9 and discharging atoms r(all_0_9_9) = 0, yields:
% 54.87/16.21  						| (377)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & r(v0) = v1)
% 54.87/16.21  						|
% 54.87/16.21  						| Instantiating (377) with all_36_0_4668, all_36_1_4669 yields:
% 54.87/16.21  						| (8613)  ~ (all_36_0_4668 = 0) & r(all_36_1_4669) = all_36_0_4668
% 54.87/16.21  						|
% 54.87/16.21  						| Applying alpha-rule on (8613) yields:
% 54.87/16.21  						| (8614)  ~ (all_36_0_4668 = 0)
% 54.87/16.21  						| (8615) r(all_36_1_4669) = all_36_0_4668
% 54.87/16.21  						|
% 54.87/16.21  						+-Applying beta-rule and splitting (5870), into two cases.
% 54.87/16.21  						|-Branch one:
% 54.87/16.21  						| (5891) all_0_0_0 = 0 &  ~ (all_0_2_2 = 0) & r(all_0_3_3) = all_0_2_2 & q(all_0_1_1) = 0
% 54.87/16.21  						|
% 54.87/16.21  							| Applying alpha-rule on (5891) yields:
% 54.87/16.21  							| (63) all_0_0_0 = 0
% 54.87/16.21  							| (210)  ~ (all_0_2_2 = 0)
% 54.87/16.21  							| (211) r(all_0_3_3) = all_0_2_2
% 54.87/16.21  							| (5895) q(all_0_1_1) = 0
% 54.87/16.21  							|
% 54.87/16.21  							| Instantiating formula (717) with 0, all_0_1_1 and discharging atoms q(all_0_1_1) = 0, yields:
% 54.87/16.21  							| (733)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & q(v0) = v1)
% 54.87/16.21  							|
% 54.87/16.21  							| Instantiating (733) with all_55_0_4672, all_55_1_4673 yields:
% 54.87/16.21  							| (8622)  ~ (all_55_0_4672 = 0) & q(all_55_1_4673) = all_55_0_4672
% 54.87/16.21  							|
% 54.87/16.21  							| Applying alpha-rule on (8622) yields:
% 54.87/16.21  							| (8623)  ~ (all_55_0_4672 = 0)
% 54.87/16.21  							| (8624) q(all_55_1_4673) = all_55_0_4672
% 54.87/16.21  							|
% 54.87/16.21  							| Instantiating formula (717) with all_55_0_4672, all_55_1_4673 and discharging atoms q(all_55_1_4673) = all_55_0_4672, yields:
% 54.87/16.21  							| (8625)  ? [v0] :  ? [v1] : (( ~ (all_55_0_4672 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_55_0_4672 = 0 | (v1 = 0 & q(v0) = 0)))
% 54.87/16.21  							|
% 54.87/16.21  							| Instantiating (8625) with all_69_0_4678, all_69_1_4679 yields:
% 54.87/16.21  							| (8626) ( ~ (all_55_0_4672 = 0) | ( ~ (all_69_0_4678 = 0) & q(all_69_1_4679) = all_69_0_4678)) & (all_55_0_4672 = 0 | (all_69_0_4678 = 0 & q(all_69_1_4679) = 0))
% 54.87/16.21  							|
% 54.87/16.22  							| Applying alpha-rule on (8626) yields:
% 54.87/16.22  							| (8627)  ~ (all_55_0_4672 = 0) | ( ~ (all_69_0_4678 = 0) & q(all_69_1_4679) = all_69_0_4678)
% 54.87/16.22  							| (8628) all_55_0_4672 = 0 | (all_69_0_4678 = 0 & q(all_69_1_4679) = 0)
% 54.87/16.22  							|
% 54.87/16.22  							+-Applying beta-rule and splitting (8628), into two cases.
% 54.87/16.22  							|-Branch one:
% 54.87/16.22  							| (8629) all_55_0_4672 = 0
% 54.87/16.22  							|
% 54.87/16.22  								| Equations (8629) can reduce 8623 to:
% 54.87/16.22  								| (59) $false
% 54.87/16.22  								|
% 54.87/16.22  								|-The branch is then unsatisfiable
% 54.87/16.22  							|-Branch two:
% 54.87/16.22  							| (8623)  ~ (all_55_0_4672 = 0)
% 54.87/16.22  							| (8632) all_69_0_4678 = 0 & q(all_69_1_4679) = 0
% 54.87/16.22  							|
% 54.87/16.22  								+-Applying beta-rule and splitting (1838), into two cases.
% 54.87/16.22  								|-Branch one:
% 54.87/16.22  								| (1857) ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))
% 54.87/16.22  								|
% 54.87/16.22  									| Applying alpha-rule on (1857) yields:
% 54.87/16.22  									| (469) (all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))
% 54.87/16.22  									| (1511) (s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))))
% 54.87/16.22  									|
% 54.87/16.22  									+-Applying beta-rule and splitting (469), into two cases.
% 54.87/16.22  									|-Branch one:
% 54.87/16.22  									| (471) all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14
% 54.87/16.22  									|
% 54.87/16.22  										| Applying alpha-rule on (471) yields:
% 54.87/16.22  										| (66) all_0_12_12 = 0
% 54.87/16.22  										| (67)  ~ (all_0_14_14 = 0)
% 54.87/16.22  										| (310) s(all_0_13_13) = 0
% 54.87/16.22  										| (475) p(all_0_15_15) = all_0_14_14
% 54.87/16.22  										|
% 54.87/16.22  										+-Applying beta-rule and splitting (1511), into two cases.
% 54.87/16.22  										|-Branch one:
% 54.87/16.22  										| (1512) s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 54.87/16.22  										|
% 54.87/16.22  											| Applying alpha-rule on (1512) yields:
% 54.87/16.22  											| (1513) s(all_0_17_17) = all_0_16_16
% 54.87/16.22  											| (1514)  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 54.87/16.22  											| (1515)  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0))
% 54.87/16.22  											| (1516) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 54.87/16.22  											|
% 54.87/16.22  											| Instantiating formula (1514) with all_0_10_10, all_0_11_11 and discharging atoms s(all_0_11_11) = all_0_10_10, yields:
% 54.87/16.22  											| (657)  ~ (all_0_16_16 = 0) | all_0_10_10 = 0
% 54.87/16.22  											|
% 54.87/16.22  											| Instantiating formula (1515) with all_0_13_13 and discharging atoms s(all_0_13_13) = 0, yields:
% 54.87/16.22  											| (42) all_0_16_16 = 0
% 54.87/16.22  											|
% 54.87/16.22  											+-Applying beta-rule and splitting (657), into two cases.
% 54.87/16.22  											|-Branch one:
% 54.87/16.22  											| (71)  ~ (all_0_16_16 = 0)
% 54.87/16.22  											|
% 54.87/16.22  												| Equations (42) can reduce 71 to:
% 54.87/16.22  												| (59) $false
% 54.87/16.22  												|
% 54.87/16.22  												|-The branch is then unsatisfiable
% 54.87/16.22  											|-Branch two:
% 54.87/16.22  											| (42) all_0_16_16 = 0
% 54.87/16.22  											| (58) all_0_10_10 = 0
% 54.87/16.22  											|
% 54.87/16.22  												| Equations (58) can reduce 52 to:
% 54.87/16.22  												| (59) $false
% 54.87/16.22  												|
% 54.87/16.22  												|-The branch is then unsatisfiable
% 54.87/16.22  										|-Branch two:
% 54.87/16.22  										| (1545)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))
% 54.87/16.22  										|
% 54.87/16.22  											| Applying alpha-rule on (1545) yields:
% 54.87/16.22  											| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 54.87/16.22  											| (1547) (all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))
% 54.87/16.22  											|
% 54.87/16.22  											| Instantiating formula (5867) with all_0_14_14, all_0_15_15 and discharging atoms p(all_0_15_15) = all_0_14_14, yields:
% 54.87/16.22  											| (6381)  ? [v0] :  ? [v1] : (( ~ (all_0_14_14 = 0) | ( ~ (v1 = 0) & p(v0) = v1)) & (all_0_14_14 = 0 | (v1 = 0 & p(v0) = 0)))
% 54.87/16.22  											|
% 54.87/16.22  											| Instantiating (6381) with all_289_0_4758, all_289_1_4759 yields:
% 54.87/16.22  											| (8657) ( ~ (all_0_14_14 = 0) | ( ~ (all_289_0_4758 = 0) & p(all_289_1_4759) = all_289_0_4758)) & (all_0_14_14 = 0 | (all_289_0_4758 = 0 & p(all_289_1_4759) = 0))
% 54.87/16.22  											|
% 54.87/16.22  											| Applying alpha-rule on (8657) yields:
% 54.87/16.22  											| (8658)  ~ (all_0_14_14 = 0) | ( ~ (all_289_0_4758 = 0) & p(all_289_1_4759) = all_289_0_4758)
% 54.87/16.22  											| (8659) all_0_14_14 = 0 | (all_289_0_4758 = 0 & p(all_289_1_4759) = 0)
% 54.87/16.22  											|
% 54.87/16.22  											+-Applying beta-rule and splitting (8659), into two cases.
% 54.87/16.22  											|-Branch one:
% 54.87/16.22  											| (74) all_0_14_14 = 0
% 54.87/16.22  											|
% 54.87/16.22  												| Equations (74) can reduce 67 to:
% 54.87/16.22  												| (59) $false
% 54.87/16.22  												|
% 54.87/16.22  												|-The branch is then unsatisfiable
% 54.87/16.22  											|-Branch two:
% 54.87/16.22  											| (67)  ~ (all_0_14_14 = 0)
% 54.87/16.22  											| (8663) all_289_0_4758 = 0 & p(all_289_1_4759) = 0
% 54.87/16.22  											|
% 54.87/16.22  												| Applying alpha-rule on (8663) yields:
% 54.87/16.22  												| (8664) all_289_0_4758 = 0
% 54.87/16.22  												| (8665) p(all_289_1_4759) = 0
% 54.87/16.22  												|
% 54.87/16.22  												+-Applying beta-rule and splitting (1547), into two cases.
% 54.87/16.22  												|-Branch one:
% 54.87/16.22  												| (1563) all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.87/16.22  												|
% 54.87/16.22  													| Applying alpha-rule on (1563) yields:
% 54.87/16.22  													| (81) all_0_20_20 = 0
% 54.87/16.22  													| (1565) p(all_0_21_21) = 0
% 54.87/16.22  													| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.87/16.22  													|
% 54.87/16.22  													| Instantiating formula (77) with all_55_0_4672, all_55_1_4673 and discharging atoms q(all_55_1_4673) = all_55_0_4672, yields:
% 54.87/16.22  													| (8629) all_55_0_4672 = 0
% 54.87/16.22  													|
% 54.87/16.22  													| Equations (8629) can reduce 8623 to:
% 54.87/16.22  													| (59) $false
% 54.87/16.22  													|
% 54.87/16.22  													|-The branch is then unsatisfiable
% 54.87/16.22  												|-Branch two:
% 54.87/16.22  												| (1573)  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)
% 54.87/16.22  												|
% 54.87/16.22  													| Applying alpha-rule on (1573) yields:
% 54.87/16.22  													| (34)  ~ (all_0_20_20 = 0)
% 54.87/16.22  													| (1528) q(all_0_21_21) = all_0_20_20
% 54.87/16.22  													| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.87/16.22  													|
% 54.87/16.22  													| Instantiating formula (78) with all_289_1_4759 and discharging atoms p(all_289_1_4759) = 0, yields:
% 54.87/16.22  													| (79) $false
% 54.87/16.22  													|
% 54.87/16.22  													|-The branch is then unsatisfiable
% 54.87/16.22  									|-Branch two:
% 54.87/16.22  									| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 54.87/16.22  									|
% 54.87/16.22  										| Applying alpha-rule on (60) yields:
% 54.87/16.22  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.87/16.22  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 54.87/16.22  										|
% 54.87/16.23  										+-Applying beta-rule and splitting (1511), into two cases.
% 54.87/16.23  										|-Branch one:
% 54.87/16.23  										| (1512) s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 54.87/16.23  										|
% 54.87/16.23  											| Applying alpha-rule on (1512) yields:
% 54.87/16.23  											| (1513) s(all_0_17_17) = all_0_16_16
% 54.87/16.23  											| (1514)  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 54.87/16.23  											| (1515)  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0))
% 54.87/16.23  											| (1516) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 54.87/16.23  											|
% 54.87/16.23  											+-Applying beta-rule and splitting (1516), into two cases.
% 54.87/16.23  											|-Branch one:
% 54.87/16.23  											| (1525) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0
% 54.87/16.23  											|
% 54.87/16.23  												| Applying alpha-rule on (1525) yields:
% 54.87/16.23  												| (33) all_0_18_18 = 0
% 54.87/16.23  												| (34)  ~ (all_0_20_20 = 0)
% 54.87/16.23  												| (1528) q(all_0_21_21) = all_0_20_20
% 54.87/16.23  												| (1529) p(all_0_19_19) = 0
% 54.87/16.23  												|
% 54.87/16.23  												| Instantiating formula (5867) with 0, all_0_19_19 and discharging atoms p(all_0_19_19) = 0, yields:
% 54.87/16.23  												| (5930)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & p(v0) = v1)
% 54.87/16.23  												|
% 54.87/16.23  												| Instantiating (5930) with all_401_0_4860, all_401_1_4861 yields:
% 54.87/16.23  												| (8691)  ~ (all_401_0_4860 = 0) & p(all_401_1_4861) = all_401_0_4860
% 54.87/16.23  												|
% 54.87/16.23  												| Applying alpha-rule on (8691) yields:
% 54.87/16.23  												| (8692)  ~ (all_401_0_4860 = 0)
% 54.87/16.23  												| (8693) p(all_401_1_4861) = all_401_0_4860
% 54.87/16.23  												|
% 54.87/16.23  												| Instantiating formula (61) with all_401_0_4860, all_401_1_4861 and discharging atoms p(all_401_1_4861) = all_401_0_4860, yields:
% 54.87/16.23  												| (8694) all_401_0_4860 = 0
% 54.87/16.23  												|
% 54.87/16.23  												| Equations (8694) can reduce 8692 to:
% 54.87/16.23  												| (59) $false
% 54.87/16.23  												|
% 54.87/16.23  												|-The branch is then unsatisfiable
% 54.87/16.23  											|-Branch two:
% 54.87/16.23  											| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 54.87/16.23  											|
% 54.87/16.23  												| Applying alpha-rule on (76) yields:
% 54.87/16.23  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.87/16.23  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.87/16.23  												|
% 54.87/16.23  												| Instantiating formula (77) with all_55_0_4672, all_55_1_4673 and discharging atoms q(all_55_1_4673) = all_55_0_4672, yields:
% 54.87/16.23  												| (8629) all_55_0_4672 = 0
% 54.87/16.23  												|
% 54.87/16.23  												| Equations (8629) can reduce 8623 to:
% 54.87/16.23  												| (59) $false
% 54.87/16.23  												|
% 54.87/16.23  												|-The branch is then unsatisfiable
% 54.87/16.23  										|-Branch two:
% 54.87/16.23  										| (1545)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))
% 54.87/16.23  										|
% 54.87/16.23  											| Applying alpha-rule on (1545) yields:
% 54.87/16.23  											| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 54.87/16.23  											| (1547) (all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))
% 54.87/16.23  											|
% 54.87/16.23  											| Instantiating formula (84) with all_0_10_10, all_0_11_11 and discharging atoms s(all_0_11_11) = all_0_10_10, yields:
% 54.87/16.23  											| (1726)  ? [v0] :  ? [v1] : (( ~ (all_0_10_10 = 0) | ( ~ (v1 = 0) & s(v0) = v1)) & (all_0_10_10 = 0 | (v1 = 0 & s(v0) = 0)))
% 54.87/16.23  											|
% 54.87/16.23  											| Instantiating (1726) with all_278_0_4870, all_278_1_4871 yields:
% 54.87/16.23  											| (8705) ( ~ (all_0_10_10 = 0) | ( ~ (all_278_0_4870 = 0) & s(all_278_1_4871) = all_278_0_4870)) & (all_0_10_10 = 0 | (all_278_0_4870 = 0 & s(all_278_1_4871) = 0))
% 54.87/16.23  											|
% 54.87/16.23  											| Applying alpha-rule on (8705) yields:
% 54.87/16.23  											| (8706)  ~ (all_0_10_10 = 0) | ( ~ (all_278_0_4870 = 0) & s(all_278_1_4871) = all_278_0_4870)
% 54.87/16.23  											| (8707) all_0_10_10 = 0 | (all_278_0_4870 = 0 & s(all_278_1_4871) = 0)
% 54.87/16.23  											|
% 54.87/16.23  											+-Applying beta-rule and splitting (8707), into two cases.
% 54.87/16.23  											|-Branch one:
% 54.87/16.23  											| (58) all_0_10_10 = 0
% 54.87/16.23  											|
% 54.87/16.23  												| Equations (58) can reduce 52 to:
% 54.87/16.23  												| (59) $false
% 54.87/16.23  												|
% 54.87/16.23  												|-The branch is then unsatisfiable
% 54.87/16.23  											|-Branch two:
% 54.87/16.23  											| (52)  ~ (all_0_10_10 = 0)
% 54.87/16.23  											| (8711) all_278_0_4870 = 0 & s(all_278_1_4871) = 0
% 54.87/16.23  											|
% 54.87/16.23  												| Applying alpha-rule on (8711) yields:
% 54.87/16.23  												| (8712) all_278_0_4870 = 0
% 54.87/16.23  												| (8713) s(all_278_1_4871) = 0
% 54.87/16.23  												|
% 54.87/16.23  												| Instantiating formula (62) with all_278_1_4871 and discharging atoms s(all_278_1_4871) = 0, yields:
% 54.87/16.23  												| (79) $false
% 54.87/16.23  												|
% 54.87/16.23  												|-The branch is then unsatisfiable
% 54.87/16.23  								|-Branch two:
% 54.87/16.23  								| (1925) ((all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))
% 54.87/16.23  								|
% 54.87/16.23  									| Applying alpha-rule on (1925) yields:
% 54.87/16.23  									| (1926) (all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))
% 54.87/16.23  									| (1927) (s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))
% 54.87/16.23  									|
% 54.87/16.23  									+-Applying beta-rule and splitting (1926), into two cases.
% 54.87/16.23  									|-Branch one:
% 54.87/16.23  									| (1928) all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.87/16.23  									|
% 54.87/16.23  										| Applying alpha-rule on (1928) yields:
% 54.87/16.23  										| (42) all_0_16_16 = 0
% 54.87/16.23  										| (1518) s(all_0_17_17) = 0
% 54.87/16.23  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.87/16.23  										|
% 54.87/16.23  										+-Applying beta-rule and splitting (1927), into two cases.
% 54.87/16.23  										|-Branch one:
% 54.87/16.23  										| (1934) s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))
% 54.87/16.23  										|
% 54.87/16.23  											| Applying alpha-rule on (1934) yields:
% 54.87/16.23  											| (1935) s(all_0_19_19) = all_0_18_18
% 54.87/16.23  											| (1936)  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 54.87/16.23  											| (1937)  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0))
% 54.87/16.23  											| (1547) (all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))
% 54.87/16.23  											|
% 54.87/16.24  											| Instantiating formula (1936) with all_0_10_10, all_0_11_11 and discharging atoms s(all_0_11_11) = all_0_10_10, yields:
% 54.87/16.24  											| (2093)  ~ (all_0_18_18 = 0) | all_0_10_10 = 0
% 54.87/16.24  											|
% 54.87/16.24  											| Instantiating formula (1937) with all_0_17_17 and discharging atoms s(all_0_17_17) = 0, yields:
% 54.87/16.24  											| (33) all_0_18_18 = 0
% 54.87/16.24  											|
% 54.87/16.24  											+-Applying beta-rule and splitting (2093), into two cases.
% 54.87/16.24  											|-Branch one:
% 54.87/16.24  											| (2094)  ~ (all_0_18_18 = 0)
% 54.87/16.24  											|
% 54.87/16.24  												| Equations (33) can reduce 2094 to:
% 54.87/16.24  												| (59) $false
% 54.87/16.24  												|
% 54.87/16.24  												|-The branch is then unsatisfiable
% 54.87/16.24  											|-Branch two:
% 54.87/16.24  											| (33) all_0_18_18 = 0
% 54.87/16.24  											| (58) all_0_10_10 = 0
% 54.87/16.24  											|
% 54.87/16.24  												| Equations (58) can reduce 52 to:
% 54.87/16.24  												| (59) $false
% 54.87/16.24  												|
% 54.87/16.24  												|-The branch is then unsatisfiable
% 54.87/16.24  										|-Branch two:
% 54.87/16.24  										| (1951)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 54.87/16.24  										|
% 54.87/16.24  											| Applying alpha-rule on (1951) yields:
% 54.87/16.24  											| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 54.87/16.24  											| (1516) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 54.87/16.24  											|
% 54.87/16.24  											+-Applying beta-rule and splitting (1516), into two cases.
% 54.87/16.24  											|-Branch one:
% 54.87/16.24  											| (1525) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0
% 54.87/16.24  											|
% 54.87/16.24  												| Applying alpha-rule on (1525) yields:
% 54.87/16.24  												| (33) all_0_18_18 = 0
% 54.87/16.24  												| (34)  ~ (all_0_20_20 = 0)
% 54.87/16.24  												| (1528) q(all_0_21_21) = all_0_20_20
% 54.87/16.24  												| (1529) p(all_0_19_19) = 0
% 54.87/16.24  												|
% 54.87/16.24  												| Instantiating formula (5867) with 0, all_0_19_19 and discharging atoms p(all_0_19_19) = 0, yields:
% 54.87/16.24  												| (5930)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & p(v0) = v1)
% 54.87/16.24  												|
% 54.87/16.24  												| Instantiating (5930) with all_410_0_4970, all_410_1_4971 yields:
% 54.87/16.24  												| (8743)  ~ (all_410_0_4970 = 0) & p(all_410_1_4971) = all_410_0_4970
% 54.87/16.24  												|
% 54.87/16.24  												| Applying alpha-rule on (8743) yields:
% 54.87/16.24  												| (8744)  ~ (all_410_0_4970 = 0)
% 54.87/16.24  												| (8745) p(all_410_1_4971) = all_410_0_4970
% 54.87/16.24  												|
% 54.87/16.24  												| Instantiating formula (61) with all_410_0_4970, all_410_1_4971 and discharging atoms p(all_410_1_4971) = all_410_0_4970, yields:
% 54.87/16.24  												| (8746) all_410_0_4970 = 0
% 54.87/16.24  												|
% 54.87/16.24  												| Equations (8746) can reduce 8744 to:
% 54.87/16.24  												| (59) $false
% 54.87/16.24  												|
% 54.87/16.24  												|-The branch is then unsatisfiable
% 54.87/16.24  											|-Branch two:
% 54.87/16.24  											| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 54.87/16.24  											|
% 54.87/16.24  												| Applying alpha-rule on (76) yields:
% 54.87/16.24  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.87/16.24  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.87/16.24  												|
% 54.87/16.24  												| Instantiating formula (77) with all_55_0_4672, all_55_1_4673 and discharging atoms q(all_55_1_4673) = all_55_0_4672, yields:
% 54.87/16.24  												| (8629) all_55_0_4672 = 0
% 54.87/16.24  												|
% 54.87/16.24  												| Equations (8629) can reduce 8623 to:
% 54.87/16.24  												| (59) $false
% 54.87/16.24  												|
% 54.87/16.24  												|-The branch is then unsatisfiable
% 54.87/16.24  									|-Branch two:
% 54.87/16.24  									| (1960)  ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0)
% 54.87/16.24  									|
% 54.87/16.24  										| Applying alpha-rule on (1960) yields:
% 54.87/16.24  										| (71)  ~ (all_0_16_16 = 0)
% 54.87/16.24  										| (1962) p(all_0_17_17) = all_0_16_16
% 54.87/16.24  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 54.87/16.24  										|
% 54.87/16.24  										+-Applying beta-rule and splitting (1927), into two cases.
% 54.87/16.24  										|-Branch one:
% 54.87/16.24  										| (1934) s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))
% 54.87/16.24  										|
% 54.87/16.24  											| Applying alpha-rule on (1934) yields:
% 54.87/16.24  											| (1935) s(all_0_19_19) = all_0_18_18
% 54.87/16.24  											| (1936)  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 54.87/16.24  											| (1937)  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0))
% 54.87/16.24  											| (1547) (all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))
% 54.87/16.24  											|
% 54.87/16.24  											| Instantiating formula (5867) with all_0_16_16, all_0_17_17 and discharging atoms p(all_0_17_17) = all_0_16_16, yields:
% 54.87/16.24  											| (7971)  ? [v0] :  ? [v1] : (( ~ (all_0_16_16 = 0) | ( ~ (v1 = 0) & p(v0) = v1)) & (all_0_16_16 = 0 | (v1 = 0 & p(v0) = 0)))
% 54.87/16.24  											|
% 54.87/16.24  											| Instantiating (7971) with all_291_0_4982, all_291_1_4983 yields:
% 54.87/16.24  											| (8763) ( ~ (all_0_16_16 = 0) | ( ~ (all_291_0_4982 = 0) & p(all_291_1_4983) = all_291_0_4982)) & (all_0_16_16 = 0 | (all_291_0_4982 = 0 & p(all_291_1_4983) = 0))
% 54.87/16.24  											|
% 54.87/16.24  											| Applying alpha-rule on (8763) yields:
% 54.87/16.24  											| (8764)  ~ (all_0_16_16 = 0) | ( ~ (all_291_0_4982 = 0) & p(all_291_1_4983) = all_291_0_4982)
% 54.87/16.24  											| (8765) all_0_16_16 = 0 | (all_291_0_4982 = 0 & p(all_291_1_4983) = 0)
% 54.87/16.24  											|
% 54.87/16.24  											+-Applying beta-rule and splitting (8765), into two cases.
% 54.87/16.24  											|-Branch one:
% 54.87/16.24  											| (42) all_0_16_16 = 0
% 54.87/16.24  											|
% 54.87/16.24  												| Equations (42) can reduce 71 to:
% 54.87/16.24  												| (59) $false
% 54.87/16.24  												|
% 54.87/16.24  												|-The branch is then unsatisfiable
% 54.87/16.24  											|-Branch two:
% 54.87/16.24  											| (71)  ~ (all_0_16_16 = 0)
% 54.87/16.24  											| (8769) all_291_0_4982 = 0 & p(all_291_1_4983) = 0
% 54.87/16.24  											|
% 54.87/16.24  												| Applying alpha-rule on (8769) yields:
% 54.87/16.24  												| (8770) all_291_0_4982 = 0
% 54.87/16.24  												| (8771) p(all_291_1_4983) = 0
% 54.87/16.24  												|
% 54.87/16.24  												+-Applying beta-rule and splitting (1547), into two cases.
% 54.87/16.24  												|-Branch one:
% 54.87/16.24  												| (1563) all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.87/16.24  												|
% 54.87/16.24  													| Applying alpha-rule on (1563) yields:
% 54.87/16.24  													| (81) all_0_20_20 = 0
% 54.87/16.24  													| (1565) p(all_0_21_21) = 0
% 54.87/16.24  													| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.87/16.24  													|
% 54.87/16.24  													| Instantiating formula (77) with all_55_0_4672, all_55_1_4673 and discharging atoms q(all_55_1_4673) = all_55_0_4672, yields:
% 54.87/16.24  													| (8629) all_55_0_4672 = 0
% 54.87/16.24  													|
% 54.87/16.25  													| Equations (8629) can reduce 8623 to:
% 54.87/16.25  													| (59) $false
% 54.87/16.25  													|
% 54.87/16.25  													|-The branch is then unsatisfiable
% 54.87/16.25  												|-Branch two:
% 54.87/16.25  												| (1573)  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)
% 54.87/16.25  												|
% 54.87/16.25  													| Applying alpha-rule on (1573) yields:
% 54.87/16.25  													| (34)  ~ (all_0_20_20 = 0)
% 54.87/16.25  													| (1528) q(all_0_21_21) = all_0_20_20
% 54.87/16.25  													| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.87/16.25  													|
% 54.87/16.25  													| Instantiating formula (78) with all_291_1_4983 and discharging atoms p(all_291_1_4983) = 0, yields:
% 54.87/16.25  													| (79) $false
% 54.87/16.25  													|
% 54.87/16.25  													|-The branch is then unsatisfiable
% 54.87/16.25  										|-Branch two:
% 54.87/16.25  										| (1951)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 54.87/16.25  										|
% 54.87/16.25  											| Applying alpha-rule on (1951) yields:
% 54.87/16.25  											| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 54.87/16.25  											| (1516) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 54.87/16.25  											|
% 54.87/16.25  											| Instantiating formula (84) with all_0_10_10, all_0_11_11 and discharging atoms s(all_0_11_11) = all_0_10_10, yields:
% 54.87/16.25  											| (1726)  ? [v0] :  ? [v1] : (( ~ (all_0_10_10 = 0) | ( ~ (v1 = 0) & s(v0) = v1)) & (all_0_10_10 = 0 | (v1 = 0 & s(v0) = 0)))
% 54.87/16.25  											|
% 54.87/16.25  											| Instantiating (1726) with all_281_0_5030, all_281_1_5031 yields:
% 54.87/16.25  											| (8787) ( ~ (all_0_10_10 = 0) | ( ~ (all_281_0_5030 = 0) & s(all_281_1_5031) = all_281_0_5030)) & (all_0_10_10 = 0 | (all_281_0_5030 = 0 & s(all_281_1_5031) = 0))
% 54.87/16.25  											|
% 54.87/16.25  											| Applying alpha-rule on (8787) yields:
% 54.87/16.25  											| (8788)  ~ (all_0_10_10 = 0) | ( ~ (all_281_0_5030 = 0) & s(all_281_1_5031) = all_281_0_5030)
% 54.87/16.25  											| (8789) all_0_10_10 = 0 | (all_281_0_5030 = 0 & s(all_281_1_5031) = 0)
% 54.87/16.25  											|
% 54.87/16.25  											+-Applying beta-rule and splitting (8789), into two cases.
% 54.87/16.25  											|-Branch one:
% 54.87/16.25  											| (58) all_0_10_10 = 0
% 54.87/16.25  											|
% 54.87/16.25  												| Equations (58) can reduce 52 to:
% 54.87/16.25  												| (59) $false
% 54.87/16.25  												|
% 54.87/16.25  												|-The branch is then unsatisfiable
% 54.87/16.25  											|-Branch two:
% 54.87/16.25  											| (52)  ~ (all_0_10_10 = 0)
% 54.87/16.25  											| (8793) all_281_0_5030 = 0 & s(all_281_1_5031) = 0
% 54.87/16.25  											|
% 54.87/16.25  												| Applying alpha-rule on (8793) yields:
% 54.87/16.25  												| (8794) all_281_0_5030 = 0
% 54.87/16.25  												| (8795) s(all_281_1_5031) = 0
% 54.87/16.25  												|
% 54.87/16.25  												| Instantiating formula (62) with all_281_1_5031 and discharging atoms s(all_281_1_5031) = 0, yields:
% 54.87/16.25  												| (79) $false
% 54.87/16.25  												|
% 54.87/16.25  												|-The branch is then unsatisfiable
% 54.87/16.25  						|-Branch two:
% 54.87/16.25  						| (2985)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] :  ~ (q(v0) = 0)
% 54.87/16.25  						|
% 54.87/16.25  							| Applying alpha-rule on (2985) yields:
% 54.87/16.25  							| (41)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 54.87/16.25  							| (212)  ! [v0] :  ~ (q(v0) = 0)
% 54.87/16.25  							|
% 54.87/16.25  							| Instantiating formula (41) with all_36_0_4668, all_36_1_4669 and discharging atoms r(all_36_1_4669) = all_36_0_4668, yields:
% 54.87/16.25  							| (8800) all_36_0_4668 = 0
% 54.87/16.25  							|
% 54.87/16.25  							| Equations (8800) can reduce 8614 to:
% 54.87/16.25  							| (59) $false
% 54.87/16.25  							|
% 54.87/16.25  							|-The branch is then unsatisfiable
% 54.87/16.25  					|-Branch two:
% 54.87/16.25  					| (219)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)
% 54.87/16.25  					|
% 54.87/16.25  						| Applying alpha-rule on (219) yields:
% 54.87/16.25  						| (220)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))
% 54.87/16.25  						| (221)  ! [v0] :  ~ (r(v0) = 0)
% 54.87/16.25  						|
% 54.87/16.25  						+-Applying beta-rule and splitting (5870), into two cases.
% 54.87/16.25  						|-Branch one:
% 54.87/16.25  						| (5891) all_0_0_0 = 0 &  ~ (all_0_2_2 = 0) & r(all_0_3_3) = all_0_2_2 & q(all_0_1_1) = 0
% 54.87/16.25  						|
% 54.87/16.25  							| Applying alpha-rule on (5891) yields:
% 54.87/16.25  							| (63) all_0_0_0 = 0
% 54.87/16.25  							| (210)  ~ (all_0_2_2 = 0)
% 54.87/16.25  							| (211) r(all_0_3_3) = all_0_2_2
% 54.87/16.25  							| (5895) q(all_0_1_1) = 0
% 54.87/16.25  							|
% 54.87/16.25  							| Instantiating formula (370) with all_0_2_2, all_0_3_3 and discharging atoms r(all_0_3_3) = all_0_2_2, yields:
% 54.87/16.25  							| (705)  ? [v0] :  ? [v1] : (( ~ (all_0_2_2 = 0) | ( ~ (v1 = 0) & r(v0) = v1)) & (all_0_2_2 = 0 | (v1 = 0 & r(v0) = 0)))
% 54.87/16.25  							|
% 54.87/16.25  							| Instantiating (705) with all_42_0_5034, all_42_1_5035 yields:
% 54.87/16.25  							| (8811) ( ~ (all_0_2_2 = 0) | ( ~ (all_42_0_5034 = 0) & r(all_42_1_5035) = all_42_0_5034)) & (all_0_2_2 = 0 | (all_42_0_5034 = 0 & r(all_42_1_5035) = 0))
% 54.87/16.25  							|
% 54.87/16.25  							| Applying alpha-rule on (8811) yields:
% 54.87/16.25  							| (8812)  ~ (all_0_2_2 = 0) | ( ~ (all_42_0_5034 = 0) & r(all_42_1_5035) = all_42_0_5034)
% 54.87/16.25  							| (8813) all_0_2_2 = 0 | (all_42_0_5034 = 0 & r(all_42_1_5035) = 0)
% 54.87/16.25  							|
% 54.87/16.25  							+-Applying beta-rule and splitting (8813), into two cases.
% 54.87/16.25  							|-Branch one:
% 54.87/16.25  							| (39) all_0_2_2 = 0
% 54.87/16.25  							|
% 54.87/16.25  								| Equations (39) can reduce 210 to:
% 54.87/16.25  								| (59) $false
% 54.87/16.25  								|
% 54.87/16.25  								|-The branch is then unsatisfiable
% 54.87/16.25  							|-Branch two:
% 54.87/16.25  							| (210)  ~ (all_0_2_2 = 0)
% 54.87/16.25  							| (8817) all_42_0_5034 = 0 & r(all_42_1_5035) = 0
% 54.87/16.25  							|
% 54.87/16.25  								| Applying alpha-rule on (8817) yields:
% 54.87/16.25  								| (8818) all_42_0_5034 = 0
% 54.87/16.25  								| (8819) r(all_42_1_5035) = 0
% 54.87/16.25  								|
% 54.87/16.25  								| Instantiating formula (221) with all_42_1_5035 and discharging atoms r(all_42_1_5035) = 0, yields:
% 54.87/16.25  								| (79) $false
% 54.87/16.25  								|
% 54.87/16.25  								|-The branch is then unsatisfiable
% 54.87/16.25  						|-Branch two:
% 54.87/16.26  						| (2985)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] :  ~ (q(v0) = 0)
% 54.87/16.26  						|
% 54.87/16.26  							| Applying alpha-rule on (2985) yields:
% 54.87/16.26  							| (41)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 54.87/16.26  							| (212)  ! [v0] :  ~ (q(v0) = 0)
% 54.87/16.26  							|
% 54.87/16.26  							+-Applying beta-rule and splitting (1838), into two cases.
% 54.87/16.26  							|-Branch one:
% 54.87/16.26  							| (1857) ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))
% 54.87/16.26  							|
% 54.87/16.26  								| Applying alpha-rule on (1857) yields:
% 54.87/16.26  								| (469) (all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))
% 54.87/16.26  								| (1511) (s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))))
% 54.87/16.26  								|
% 54.87/16.26  								+-Applying beta-rule and splitting (1511), into two cases.
% 54.87/16.26  								|-Branch one:
% 54.87/16.26  								| (1512) s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 54.87/16.26  								|
% 54.87/16.26  									| Applying alpha-rule on (1512) yields:
% 54.87/16.26  									| (1513) s(all_0_17_17) = all_0_16_16
% 54.87/16.26  									| (1514)  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 54.87/16.26  									| (1515)  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0))
% 54.87/16.26  									| (1516) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 54.87/16.26  									|
% 54.87/16.26  									| Instantiating formula (220) with all_0_16_16, all_0_17_17 and discharging atoms s(all_0_17_17) = all_0_16_16, yields:
% 54.87/16.26  									| (42) all_0_16_16 = 0
% 54.87/16.26  									|
% 54.87/16.26  									| From (42) and (1513) follows:
% 54.87/16.26  									| (1518) s(all_0_17_17) = 0
% 54.87/16.26  									|
% 54.87/16.26  									+-Applying beta-rule and splitting (469), into two cases.
% 54.87/16.26  									|-Branch one:
% 54.87/16.26  									| (471) all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14
% 54.87/16.26  									|
% 54.87/16.26  										| Applying alpha-rule on (471) yields:
% 54.87/16.26  										| (66) all_0_12_12 = 0
% 54.87/16.26  										| (67)  ~ (all_0_14_14 = 0)
% 54.87/16.26  										| (310) s(all_0_13_13) = 0
% 54.87/16.26  										| (475) p(all_0_15_15) = all_0_14_14
% 54.87/16.26  										|
% 54.87/16.26  										| Instantiating formula (5867) with all_0_14_14, all_0_15_15 and discharging atoms p(all_0_15_15) = all_0_14_14, yields:
% 54.87/16.26  										| (6381)  ? [v0] :  ? [v1] : (( ~ (all_0_14_14 = 0) | ( ~ (v1 = 0) & p(v0) = v1)) & (all_0_14_14 = 0 | (v1 = 0 & p(v0) = 0)))
% 54.87/16.26  										|
% 54.87/16.26  										| Instantiating (6381) with all_57_0_5036, all_57_1_5037 yields:
% 54.87/16.26  										| (8840) ( ~ (all_0_14_14 = 0) | ( ~ (all_57_0_5036 = 0) & p(all_57_1_5037) = all_57_0_5036)) & (all_0_14_14 = 0 | (all_57_0_5036 = 0 & p(all_57_1_5037) = 0))
% 54.87/16.26  										|
% 54.87/16.26  										| Applying alpha-rule on (8840) yields:
% 54.87/16.26  										| (8841)  ~ (all_0_14_14 = 0) | ( ~ (all_57_0_5036 = 0) & p(all_57_1_5037) = all_57_0_5036)
% 54.87/16.26  										| (8842) all_0_14_14 = 0 | (all_57_0_5036 = 0 & p(all_57_1_5037) = 0)
% 54.87/16.26  										|
% 54.87/16.26  										+-Applying beta-rule and splitting (1516), into two cases.
% 54.87/16.26  										|-Branch one:
% 54.87/16.26  										| (1525) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0
% 54.87/16.26  										|
% 54.87/16.26  											| Applying alpha-rule on (1525) yields:
% 54.87/16.26  											| (33) all_0_18_18 = 0
% 54.87/16.26  											| (34)  ~ (all_0_20_20 = 0)
% 54.87/16.26  											| (1528) q(all_0_21_21) = all_0_20_20
% 54.87/16.26  											| (1529) p(all_0_19_19) = 0
% 54.87/16.26  											|
% 54.87/16.26  											| Instantiating formula (717) with all_0_20_20, all_0_21_21 and discharging atoms q(all_0_21_21) = all_0_20_20, yields:
% 54.87/16.26  											| (2420)  ? [v0] :  ? [v1] : (( ~ (all_0_20_20 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_0_20_20 = 0 | (v1 = 0 & q(v0) = 0)))
% 54.87/16.26  											|
% 54.87/16.26  											| Instantiating (2420) with all_71_0_5040, all_71_1_5041 yields:
% 54.87/16.26  											| (8849) ( ~ (all_0_20_20 = 0) | ( ~ (all_71_0_5040 = 0) & q(all_71_1_5041) = all_71_0_5040)) & (all_0_20_20 = 0 | (all_71_0_5040 = 0 & q(all_71_1_5041) = 0))
% 54.87/16.26  											|
% 54.87/16.26  											| Applying alpha-rule on (8849) yields:
% 54.87/16.26  											| (8850)  ~ (all_0_20_20 = 0) | ( ~ (all_71_0_5040 = 0) & q(all_71_1_5041) = all_71_0_5040)
% 54.87/16.26  											| (8851) all_0_20_20 = 0 | (all_71_0_5040 = 0 & q(all_71_1_5041) = 0)
% 54.87/16.26  											|
% 54.87/16.26  											+-Applying beta-rule and splitting (8851), into two cases.
% 54.87/16.26  											|-Branch one:
% 54.87/16.26  											| (81) all_0_20_20 = 0
% 54.87/16.26  											|
% 54.87/16.26  												| Equations (81) can reduce 34 to:
% 54.87/16.26  												| (59) $false
% 54.87/16.26  												|
% 54.87/16.26  												|-The branch is then unsatisfiable
% 54.87/16.26  											|-Branch two:
% 54.87/16.26  											| (34)  ~ (all_0_20_20 = 0)
% 54.87/16.26  											| (8855) all_71_0_5040 = 0 & q(all_71_1_5041) = 0
% 54.87/16.26  											|
% 54.87/16.26  												| Applying alpha-rule on (8855) yields:
% 54.87/16.26  												| (8856) all_71_0_5040 = 0
% 54.87/16.26  												| (8857) q(all_71_1_5041) = 0
% 54.87/16.26  												|
% 54.87/16.26  												| Instantiating formula (212) with all_71_1_5041 and discharging atoms q(all_71_1_5041) = 0, yields:
% 54.87/16.26  												| (79) $false
% 54.87/16.26  												|
% 54.87/16.26  												|-The branch is then unsatisfiable
% 54.87/16.26  										|-Branch two:
% 54.87/16.26  										| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 54.87/16.26  										|
% 54.87/16.26  											| Applying alpha-rule on (76) yields:
% 54.87/16.26  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 54.87/16.26  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 54.87/16.26  											|
% 54.87/16.26  											+-Applying beta-rule and splitting (8842), into two cases.
% 54.87/16.26  											|-Branch one:
% 54.87/16.26  											| (74) all_0_14_14 = 0
% 54.87/16.26  											|
% 54.87/16.26  												| Equations (74) can reduce 67 to:
% 54.87/16.26  												| (59) $false
% 54.87/16.26  												|
% 54.87/16.26  												|-The branch is then unsatisfiable
% 54.87/16.26  											|-Branch two:
% 54.87/16.26  											| (67)  ~ (all_0_14_14 = 0)
% 54.87/16.26  											| (8865) all_57_0_5036 = 0 & p(all_57_1_5037) = 0
% 54.87/16.26  											|
% 54.87/16.26  												| Applying alpha-rule on (8865) yields:
% 54.87/16.26  												| (8866) all_57_0_5036 = 0
% 54.87/16.26  												| (8867) p(all_57_1_5037) = 0
% 54.87/16.26  												|
% 54.87/16.26  												| Instantiating formula (78) with all_57_1_5037 and discharging atoms p(all_57_1_5037) = 0, yields:
% 54.87/16.26  												| (79) $false
% 54.87/16.26  												|
% 54.87/16.26  												|-The branch is then unsatisfiable
% 54.87/16.26  									|-Branch two:
% 54.87/16.26  									| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 54.87/16.26  									|
% 54.87/16.26  										| Applying alpha-rule on (60) yields:
% 54.87/16.26  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 54.87/16.26  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 54.87/16.26  										|
% 54.87/16.26  										| Instantiating formula (62) with all_0_17_17 and discharging atoms s(all_0_17_17) = 0, yields:
% 54.87/16.26  										| (79) $false
% 54.87/16.26  										|
% 54.87/16.26  										|-The branch is then unsatisfiable
% 54.87/16.26  								|-Branch two:
% 54.87/16.26  								| (1545)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))
% 54.87/16.27  								|
% 54.87/16.27  									| Applying alpha-rule on (1545) yields:
% 54.87/16.27  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 54.87/16.27  									| (1547) (all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))
% 54.87/16.27  									|
% 54.87/16.27  									+-Applying beta-rule and splitting (469), into two cases.
% 54.87/16.27  									|-Branch one:
% 54.87/16.27  									| (471) all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14
% 54.87/16.27  									|
% 54.87/16.27  										| Applying alpha-rule on (471) yields:
% 54.87/16.27  										| (66) all_0_12_12 = 0
% 54.87/16.27  										| (67)  ~ (all_0_14_14 = 0)
% 54.87/16.27  										| (310) s(all_0_13_13) = 0
% 54.87/16.27  										| (475) p(all_0_15_15) = all_0_14_14
% 54.87/16.27  										|
% 54.87/16.27  										| Instantiating formula (84) with 0, all_0_13_13 and discharging atoms s(all_0_13_13) = 0, yields:
% 54.87/16.27  										| (278)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & s(v0) = v1)
% 54.87/16.27  										|
% 54.87/16.27  										| Instantiating (278) with all_50_0_5044, all_50_1_5045 yields:
% 54.87/16.27  										| (8882)  ~ (all_50_0_5044 = 0) & s(all_50_1_5045) = all_50_0_5044
% 54.87/16.27  										|
% 54.87/16.27  										| Applying alpha-rule on (8882) yields:
% 54.87/16.27  										| (8883)  ~ (all_50_0_5044 = 0)
% 54.87/16.27  										| (8884) s(all_50_1_5045) = all_50_0_5044
% 54.87/16.27  										|
% 54.87/16.27  										| Instantiating formula (220) with all_50_0_5044, all_50_1_5045 and discharging atoms s(all_50_1_5045) = all_50_0_5044, yields:
% 54.87/16.27  										| (8885) all_50_0_5044 = 0
% 54.87/16.27  										|
% 55.13/16.27  										| Equations (8885) can reduce 8883 to:
% 55.13/16.27  										| (59) $false
% 55.13/16.27  										|
% 55.13/16.27  										|-The branch is then unsatisfiable
% 55.13/16.27  									|-Branch two:
% 55.13/16.27  									| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 55.13/16.27  									|
% 55.13/16.27  										| Applying alpha-rule on (60) yields:
% 55.13/16.27  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 55.13/16.27  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 55.13/16.27  										|
% 55.13/16.27  										+-Applying beta-rule and splitting (1547), into two cases.
% 55.13/16.27  										|-Branch one:
% 55.13/16.27  										| (1563) all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 55.13/16.27  										|
% 55.13/16.27  											| Applying alpha-rule on (1563) yields:
% 55.13/16.27  											| (81) all_0_20_20 = 0
% 55.13/16.27  											| (1565) p(all_0_21_21) = 0
% 55.13/16.27  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 55.13/16.27  											|
% 55.13/16.27  											| Instantiating formula (5867) with 0, all_0_21_21 and discharging atoms p(all_0_21_21) = 0, yields:
% 55.13/16.27  											| (5930)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & p(v0) = v1)
% 55.13/16.27  											|
% 55.13/16.27  											| Instantiating (5930) with all_54_0_5046, all_54_1_5047 yields:
% 55.13/16.27  											| (8895)  ~ (all_54_0_5046 = 0) & p(all_54_1_5047) = all_54_0_5046
% 55.13/16.27  											|
% 55.13/16.27  											| Applying alpha-rule on (8895) yields:
% 55.13/16.27  											| (8896)  ~ (all_54_0_5046 = 0)
% 55.13/16.27  											| (8897) p(all_54_1_5047) = all_54_0_5046
% 55.13/16.27  											|
% 55.13/16.27  											| Instantiating formula (61) with all_54_0_5046, all_54_1_5047 and discharging atoms p(all_54_1_5047) = all_54_0_5046, yields:
% 55.13/16.27  											| (8898) all_54_0_5046 = 0
% 55.13/16.27  											|
% 55.13/16.27  											| Equations (8898) can reduce 8896 to:
% 55.13/16.27  											| (59) $false
% 55.13/16.27  											|
% 55.13/16.27  											|-The branch is then unsatisfiable
% 55.13/16.27  										|-Branch two:
% 55.13/16.27  										| (1573)  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)
% 55.13/16.27  										|
% 55.13/16.27  											| Applying alpha-rule on (1573) yields:
% 55.13/16.27  											| (34)  ~ (all_0_20_20 = 0)
% 55.13/16.27  											| (1528) q(all_0_21_21) = all_0_20_20
% 55.13/16.27  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 55.13/16.27  											|
% 55.13/16.27  											| Instantiating formula (717) with all_0_20_20, all_0_21_21 and discharging atoms q(all_0_21_21) = all_0_20_20, yields:
% 55.13/16.27  											| (2420)  ? [v0] :  ? [v1] : (( ~ (all_0_20_20 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_0_20_20 = 0 | (v1 = 0 & q(v0) = 0)))
% 55.13/16.27  											|
% 55.13/16.27  											| Instantiating (2420) with all_54_0_5048, all_54_1_5049 yields:
% 55.13/16.27  											| (8905) ( ~ (all_0_20_20 = 0) | ( ~ (all_54_0_5048 = 0) & q(all_54_1_5049) = all_54_0_5048)) & (all_0_20_20 = 0 | (all_54_0_5048 = 0 & q(all_54_1_5049) = 0))
% 55.13/16.27  											|
% 55.13/16.27  											| Applying alpha-rule on (8905) yields:
% 55.13/16.27  											| (8906)  ~ (all_0_20_20 = 0) | ( ~ (all_54_0_5048 = 0) & q(all_54_1_5049) = all_54_0_5048)
% 55.13/16.27  											| (8907) all_0_20_20 = 0 | (all_54_0_5048 = 0 & q(all_54_1_5049) = 0)
% 55.13/16.27  											|
% 55.13/16.27  											+-Applying beta-rule and splitting (8907), into two cases.
% 55.13/16.27  											|-Branch one:
% 55.13/16.27  											| (81) all_0_20_20 = 0
% 55.13/16.27  											|
% 55.13/16.27  												| Equations (81) can reduce 34 to:
% 55.13/16.27  												| (59) $false
% 55.13/16.27  												|
% 55.13/16.27  												|-The branch is then unsatisfiable
% 55.13/16.27  											|-Branch two:
% 55.13/16.27  											| (34)  ~ (all_0_20_20 = 0)
% 55.13/16.27  											| (8911) all_54_0_5048 = 0 & q(all_54_1_5049) = 0
% 55.13/16.27  											|
% 55.13/16.27  												| Applying alpha-rule on (8911) yields:
% 55.13/16.27  												| (8912) all_54_0_5048 = 0
% 55.13/16.27  												| (8913) q(all_54_1_5049) = 0
% 55.13/16.27  												|
% 55.13/16.27  												| Instantiating formula (212) with all_54_1_5049 and discharging atoms q(all_54_1_5049) = 0, yields:
% 55.13/16.27  												| (79) $false
% 55.13/16.27  												|
% 55.13/16.27  												|-The branch is then unsatisfiable
% 55.13/16.27  							|-Branch two:
% 55.13/16.27  							| (1925) ((all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))
% 55.13/16.28  							|
% 55.13/16.28  								| Applying alpha-rule on (1925) yields:
% 55.13/16.28  								| (1926) (all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))
% 55.13/16.28  								| (1927) (s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))
% 55.13/16.28  								|
% 55.13/16.28  								+-Applying beta-rule and splitting (1927), into two cases.
% 55.13/16.28  								|-Branch one:
% 55.13/16.28  								| (1934) s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))
% 55.13/16.28  								|
% 55.13/16.28  									| Applying alpha-rule on (1934) yields:
% 55.13/16.28  									| (1935) s(all_0_19_19) = all_0_18_18
% 55.13/16.28  									| (1936)  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 55.13/16.28  									| (1937)  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0))
% 55.13/16.28  									| (1547) (all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))
% 55.13/16.28  									|
% 55.13/16.28  									| Instantiating formula (220) with all_0_18_18, all_0_19_19 and discharging atoms s(all_0_19_19) = all_0_18_18, yields:
% 55.13/16.28  									| (33) all_0_18_18 = 0
% 55.13/16.28  									|
% 55.13/16.28  									| From (33) and (1935) follows:
% 55.13/16.28  									| (1596) s(all_0_19_19) = 0
% 55.13/16.28  									|
% 55.13/16.28  									+-Applying beta-rule and splitting (1926), into two cases.
% 55.13/16.28  									|-Branch one:
% 55.13/16.28  									| (1928) all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 55.13/16.28  									|
% 55.13/16.28  										| Applying alpha-rule on (1928) yields:
% 55.13/16.28  										| (42) all_0_16_16 = 0
% 55.13/16.28  										| (1518) s(all_0_17_17) = 0
% 55.13/16.28  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 55.13/16.28  										|
% 55.13/16.28  										+-Applying beta-rule and splitting (1547), into two cases.
% 55.13/16.28  										|-Branch one:
% 55.13/16.28  										| (1563) all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 55.13/16.28  										|
% 55.13/16.28  											| Applying alpha-rule on (1563) yields:
% 55.13/16.28  											| (81) all_0_20_20 = 0
% 55.13/16.28  											| (1565) p(all_0_21_21) = 0
% 55.13/16.28  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 55.13/16.28  											|
% 55.13/16.28  											| Instantiating formula (5867) with 0, all_0_21_21 and discharging atoms p(all_0_21_21) = 0, yields:
% 55.13/16.28  											| (5930)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & p(v0) = v1)
% 55.13/16.28  											|
% 55.13/16.28  											| Instantiating (5930) with all_66_0_5050, all_66_1_5051 yields:
% 55.13/16.28  											| (8934)  ~ (all_66_0_5050 = 0) & p(all_66_1_5051) = all_66_0_5050
% 55.13/16.28  											|
% 55.13/16.28  											| Applying alpha-rule on (8934) yields:
% 55.13/16.28  											| (8935)  ~ (all_66_0_5050 = 0)
% 55.13/16.28  											| (8936) p(all_66_1_5051) = all_66_0_5050
% 55.13/16.28  											|
% 55.13/16.28  											| Instantiating formula (61) with all_66_0_5050, all_66_1_5051 and discharging atoms p(all_66_1_5051) = all_66_0_5050, yields:
% 55.13/16.28  											| (8937) all_66_0_5050 = 0
% 55.13/16.28  											|
% 55.13/16.28  											| Equations (8937) can reduce 8935 to:
% 55.13/16.28  											| (59) $false
% 55.13/16.28  											|
% 55.13/16.28  											|-The branch is then unsatisfiable
% 55.13/16.28  										|-Branch two:
% 55.13/16.28  										| (1573)  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)
% 55.13/16.28  										|
% 55.13/16.28  											| Applying alpha-rule on (1573) yields:
% 55.13/16.28  											| (34)  ~ (all_0_20_20 = 0)
% 55.13/16.28  											| (1528) q(all_0_21_21) = all_0_20_20
% 55.13/16.28  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 55.13/16.28  											|
% 55.13/16.28  											| Instantiating formula (717) with all_0_20_20, all_0_21_21 and discharging atoms q(all_0_21_21) = all_0_20_20, yields:
% 55.13/16.28  											| (2420)  ? [v0] :  ? [v1] : (( ~ (all_0_20_20 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_0_20_20 = 0 | (v1 = 0 & q(v0) = 0)))
% 55.13/16.28  											|
% 55.13/16.28  											| Instantiating (2420) with all_66_0_5052, all_66_1_5053 yields:
% 55.13/16.28  											| (8944) ( ~ (all_0_20_20 = 0) | ( ~ (all_66_0_5052 = 0) & q(all_66_1_5053) = all_66_0_5052)) & (all_0_20_20 = 0 | (all_66_0_5052 = 0 & q(all_66_1_5053) = 0))
% 55.13/16.28  											|
% 55.13/16.28  											| Applying alpha-rule on (8944) yields:
% 55.13/16.28  											| (8945)  ~ (all_0_20_20 = 0) | ( ~ (all_66_0_5052 = 0) & q(all_66_1_5053) = all_66_0_5052)
% 55.13/16.28  											| (8946) all_0_20_20 = 0 | (all_66_0_5052 = 0 & q(all_66_1_5053) = 0)
% 55.13/16.28  											|
% 55.13/16.28  											+-Applying beta-rule and splitting (8946), into two cases.
% 55.13/16.28  											|-Branch one:
% 55.13/16.28  											| (81) all_0_20_20 = 0
% 55.13/16.28  											|
% 55.13/16.28  												| Equations (81) can reduce 34 to:
% 55.13/16.28  												| (59) $false
% 55.13/16.28  												|
% 55.13/16.28  												|-The branch is then unsatisfiable
% 55.13/16.28  											|-Branch two:
% 55.13/16.28  											| (34)  ~ (all_0_20_20 = 0)
% 55.13/16.28  											| (8950) all_66_0_5052 = 0 & q(all_66_1_5053) = 0
% 55.13/16.28  											|
% 55.13/16.28  												| Applying alpha-rule on (8950) yields:
% 55.13/16.28  												| (8951) all_66_0_5052 = 0
% 55.13/16.28  												| (8952) q(all_66_1_5053) = 0
% 55.13/16.28  												|
% 55.13/16.28  												| Instantiating formula (212) with all_66_1_5053 and discharging atoms q(all_66_1_5053) = 0, yields:
% 55.13/16.28  												| (79) $false
% 55.13/16.28  												|
% 55.13/16.28  												|-The branch is then unsatisfiable
% 55.13/16.28  									|-Branch two:
% 55.13/16.28  									| (1960)  ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0)
% 55.13/16.28  									|
% 55.13/16.28  										| Applying alpha-rule on (1960) yields:
% 55.13/16.28  										| (71)  ~ (all_0_16_16 = 0)
% 55.13/16.28  										| (1962) p(all_0_17_17) = all_0_16_16
% 55.13/16.28  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 55.13/16.28  										|
% 55.13/16.28  										| Instantiating formula (62) with all_0_19_19 and discharging atoms s(all_0_19_19) = 0, yields:
% 55.13/16.28  										| (79) $false
% 55.13/16.28  										|
% 55.13/16.28  										|-The branch is then unsatisfiable
% 55.13/16.28  								|-Branch two:
% 55.13/16.28  								| (1951)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 55.13/16.28  								|
% 55.13/16.28  									| Applying alpha-rule on (1951) yields:
% 55.13/16.28  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 55.13/16.28  									| (1516) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 55.13/16.28  									|
% 55.13/16.28  									+-Applying beta-rule and splitting (1926), into two cases.
% 55.13/16.28  									|-Branch one:
% 55.13/16.28  									| (1928) all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 55.13/16.28  									|
% 55.17/16.28  										| Applying alpha-rule on (1928) yields:
% 55.17/16.28  										| (42) all_0_16_16 = 0
% 55.17/16.28  										| (1518) s(all_0_17_17) = 0
% 55.17/16.28  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 55.17/16.28  										|
% 55.17/16.28  										| Instantiating formula (84) with 0, all_0_17_17 and discharging atoms s(all_0_17_17) = 0, yields:
% 55.17/16.28  										| (278)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & s(v0) = v1)
% 55.17/16.28  										|
% 55.17/16.28  										| Instantiating (278) with all_50_0_5054, all_50_1_5055 yields:
% 55.17/16.29  										| (8967)  ~ (all_50_0_5054 = 0) & s(all_50_1_5055) = all_50_0_5054
% 55.17/16.29  										|
% 55.17/16.29  										| Applying alpha-rule on (8967) yields:
% 55.17/16.29  										| (8968)  ~ (all_50_0_5054 = 0)
% 55.17/16.29  										| (8969) s(all_50_1_5055) = all_50_0_5054
% 55.17/16.29  										|
% 55.17/16.29  										| Instantiating formula (220) with all_50_0_5054, all_50_1_5055 and discharging atoms s(all_50_1_5055) = all_50_0_5054, yields:
% 55.17/16.29  										| (8970) all_50_0_5054 = 0
% 55.17/16.29  										|
% 55.17/16.29  										| Equations (8970) can reduce 8968 to:
% 55.17/16.29  										| (59) $false
% 55.17/16.29  										|
% 55.17/16.29  										|-The branch is then unsatisfiable
% 55.17/16.29  									|-Branch two:
% 55.17/16.29  									| (1960)  ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0)
% 55.17/16.29  									|
% 55.17/16.29  										| Applying alpha-rule on (1960) yields:
% 55.17/16.29  										| (71)  ~ (all_0_16_16 = 0)
% 55.17/16.29  										| (1962) p(all_0_17_17) = all_0_16_16
% 55.17/16.29  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 55.17/16.29  										|
% 55.17/16.29  										| Instantiating formula (5867) with all_0_16_16, all_0_17_17 and discharging atoms p(all_0_17_17) = all_0_16_16, yields:
% 55.17/16.29  										| (7971)  ? [v0] :  ? [v1] : (( ~ (all_0_16_16 = 0) | ( ~ (v1 = 0) & p(v0) = v1)) & (all_0_16_16 = 0 | (v1 = 0 & p(v0) = 0)))
% 55.17/16.29  										|
% 55.17/16.29  										| Instantiating (7971) with all_50_0_5056, all_50_1_5057 yields:
% 55.17/16.29  										| (8977) ( ~ (all_0_16_16 = 0) | ( ~ (all_50_0_5056 = 0) & p(all_50_1_5057) = all_50_0_5056)) & (all_0_16_16 = 0 | (all_50_0_5056 = 0 & p(all_50_1_5057) = 0))
% 55.17/16.29  										|
% 55.17/16.29  										| Applying alpha-rule on (8977) yields:
% 55.17/16.29  										| (8978)  ~ (all_0_16_16 = 0) | ( ~ (all_50_0_5056 = 0) & p(all_50_1_5057) = all_50_0_5056)
% 55.17/16.29  										| (8979) all_0_16_16 = 0 | (all_50_0_5056 = 0 & p(all_50_1_5057) = 0)
% 55.17/16.29  										|
% 55.17/16.29  										+-Applying beta-rule and splitting (1516), into two cases.
% 55.17/16.29  										|-Branch one:
% 55.17/16.29  										| (1525) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0
% 55.17/16.29  										|
% 55.17/16.29  											| Applying alpha-rule on (1525) yields:
% 55.17/16.29  											| (33) all_0_18_18 = 0
% 55.17/16.29  											| (34)  ~ (all_0_20_20 = 0)
% 55.17/16.29  											| (1528) q(all_0_21_21) = all_0_20_20
% 55.17/16.29  											| (1529) p(all_0_19_19) = 0
% 55.17/16.29  											|
% 55.17/16.29  											| Instantiating formula (717) with all_0_20_20, all_0_21_21 and discharging atoms q(all_0_21_21) = all_0_20_20, yields:
% 55.17/16.29  											| (2420)  ? [v0] :  ? [v1] : (( ~ (all_0_20_20 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_0_20_20 = 0 | (v1 = 0 & q(v0) = 0)))
% 55.17/16.29  											|
% 55.17/16.29  											| Instantiating (2420) with all_64_0_5060, all_64_1_5061 yields:
% 55.17/16.29  											| (8986) ( ~ (all_0_20_20 = 0) | ( ~ (all_64_0_5060 = 0) & q(all_64_1_5061) = all_64_0_5060)) & (all_0_20_20 = 0 | (all_64_0_5060 = 0 & q(all_64_1_5061) = 0))
% 55.17/16.29  											|
% 55.17/16.29  											| Applying alpha-rule on (8986) yields:
% 55.17/16.29  											| (8987)  ~ (all_0_20_20 = 0) | ( ~ (all_64_0_5060 = 0) & q(all_64_1_5061) = all_64_0_5060)
% 55.17/16.29  											| (8988) all_0_20_20 = 0 | (all_64_0_5060 = 0 & q(all_64_1_5061) = 0)
% 55.17/16.29  											|
% 55.17/16.29  											+-Applying beta-rule and splitting (8988), into two cases.
% 55.17/16.29  											|-Branch one:
% 55.17/16.29  											| (81) all_0_20_20 = 0
% 55.17/16.29  											|
% 55.17/16.29  												| Equations (81) can reduce 34 to:
% 55.17/16.29  												| (59) $false
% 55.17/16.29  												|
% 55.17/16.29  												|-The branch is then unsatisfiable
% 55.17/16.29  											|-Branch two:
% 55.17/16.29  											| (34)  ~ (all_0_20_20 = 0)
% 55.17/16.29  											| (8992) all_64_0_5060 = 0 & q(all_64_1_5061) = 0
% 55.17/16.29  											|
% 55.17/16.29  												| Applying alpha-rule on (8992) yields:
% 55.17/16.29  												| (8993) all_64_0_5060 = 0
% 55.17/16.29  												| (8994) q(all_64_1_5061) = 0
% 55.17/16.29  												|
% 55.17/16.29  												| Instantiating formula (212) with all_64_1_5061 and discharging atoms q(all_64_1_5061) = 0, yields:
% 55.17/16.29  												| (79) $false
% 55.17/16.29  												|
% 55.17/16.29  												|-The branch is then unsatisfiable
% 55.17/16.29  										|-Branch two:
% 55.17/16.29  										| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 55.17/16.29  										|
% 55.17/16.29  											| Applying alpha-rule on (76) yields:
% 55.17/16.29  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 55.17/16.29  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 55.17/16.29  											|
% 55.17/16.29  											+-Applying beta-rule and splitting (8979), into two cases.
% 55.17/16.29  											|-Branch one:
% 55.17/16.29  											| (42) all_0_16_16 = 0
% 55.17/16.29  											|
% 55.17/16.29  												| Equations (42) can reduce 71 to:
% 55.17/16.29  												| (59) $false
% 55.17/16.29  												|
% 55.17/16.29  												|-The branch is then unsatisfiable
% 55.17/16.29  											|-Branch two:
% 55.17/16.29  											| (71)  ~ (all_0_16_16 = 0)
% 55.17/16.29  											| (9002) all_50_0_5056 = 0 & p(all_50_1_5057) = 0
% 55.17/16.29  											|
% 55.17/16.29  												| Applying alpha-rule on (9002) yields:
% 55.17/16.29  												| (9003) all_50_0_5056 = 0
% 55.17/16.29  												| (9004) p(all_50_1_5057) = 0
% 55.17/16.29  												|
% 55.17/16.29  												| Instantiating formula (78) with all_50_1_5057 and discharging atoms p(all_50_1_5057) = 0, yields:
% 55.17/16.29  												| (79) $false
% 55.17/16.29  												|
% 55.17/16.29  												|-The branch is then unsatisfiable
% 55.17/16.30  	|-Branch two:
% 55.17/16.30  	| (9006) ((all_0_4_4 = 0 & q(all_0_5_5) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))) | ( ~ (all_0_4_4 = 0) & r(all_0_5_5) = all_0_4_4 &  ! [v0] :  ~ (q(v0) = 0))) & ((((r(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (r(v0) = 0)) & ((((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))) | ( ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))))) & ((q(all_0_7_7) = all_0_6_6 &  ! [v0] :  ! [v1] : ( ~ (all_0_6_6 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_6_6 = 0 |  ~ (q(v0) = 0)) & ((all_0_8_8 = 0 & r(all_0_9_9) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_8_8 = 0) & s(all_0_9_9) = all_0_8_8 &  ! [v0] :  ~ (r(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_9_9) = all_0_8_8 & r(all_0_7_7) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))))) | (((r(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (r(v0) = 0)) & ((((all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))) | ( ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))))) & ((q(all_0_7_7) = all_0_6_6 &  ! [v0] :  ! [v1] : ( ~ (all_0_6_6 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_6_6 = 0 |  ~ (q(v0) = 0)) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 & r(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_10_10 = 0 & r(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (r(v0) = 0)))))))
% 55.17/16.30  	|
% 55.17/16.30  		| Applying alpha-rule on (9006) yields:
% 55.17/16.30  		| (9007) (all_0_4_4 = 0 & q(all_0_5_5) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))) | ( ~ (all_0_4_4 = 0) & r(all_0_5_5) = all_0_4_4 &  ! [v0] :  ~ (q(v0) = 0))
% 55.17/16.30  		| (9008) (((r(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (r(v0) = 0)) & ((((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))) | ( ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))))) & ((q(all_0_7_7) = all_0_6_6 &  ! [v0] :  ! [v1] : ( ~ (all_0_6_6 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_6_6 = 0 |  ~ (q(v0) = 0)) & ((all_0_8_8 = 0 & r(all_0_9_9) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_8_8 = 0) & s(all_0_9_9) = all_0_8_8 &  ! [v0] :  ~ (r(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_9_9) = all_0_8_8 & r(all_0_7_7) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))))) | (((r(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (r(v0) = 0)) & ((((all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))) | ( ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))))) & ((q(all_0_7_7) = all_0_6_6 &  ! [v0] :  ! [v1] : ( ~ (all_0_6_6 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_6_6 = 0 |  ~ (q(v0) = 0)) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 & r(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_10_10 = 0 & r(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (r(v0) = 0))))))
% 55.17/16.30  		|
% 55.17/16.30  		+-Applying beta-rule and splitting (9008), into two cases.
% 55.17/16.30  		|-Branch one:
% 55.17/16.30  		| (9009) ((r(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (r(v0) = 0)) & ((((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))) | ( ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))))) & ((q(all_0_7_7) = all_0_6_6 &  ! [v0] :  ! [v1] : ( ~ (all_0_6_6 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_6_6 = 0 |  ~ (q(v0) = 0)) & ((all_0_8_8 = 0 & r(all_0_9_9) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_8_8 = 0) & s(all_0_9_9) = all_0_8_8 &  ! [v0] :  ~ (r(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_9_9) = all_0_8_8 & r(all_0_7_7) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))))
% 55.17/16.31  		|
% 55.17/16.31  			| Applying alpha-rule on (9009) yields:
% 55.17/16.31  			| (9010) (r(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (r(v0) = 0)) & ((((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))) | ( ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))))
% 55.17/16.31  			| (9011) (q(all_0_7_7) = all_0_6_6 &  ! [v0] :  ! [v1] : ( ~ (all_0_6_6 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_6_6 = 0 |  ~ (q(v0) = 0)) & ((all_0_8_8 = 0 & r(all_0_9_9) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_8_8 = 0) & s(all_0_9_9) = all_0_8_8 &  ! [v0] :  ~ (r(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_9_9) = all_0_8_8 & r(all_0_7_7) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0))))
% 55.17/16.31  			|
% 55.17/16.31  			+-Applying beta-rule and splitting (9011), into two cases.
% 55.17/16.31  			|-Branch one:
% 55.17/16.31  			| (9012) q(all_0_7_7) = all_0_6_6 &  ! [v0] :  ! [v1] : ( ~ (all_0_6_6 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_6_6 = 0 |  ~ (q(v0) = 0)) & ((all_0_8_8 = 0 & r(all_0_9_9) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_8_8 = 0) & s(all_0_9_9) = all_0_8_8 &  ! [v0] :  ~ (r(v0) = 0)))
% 55.17/16.31  			|
% 55.17/16.31  				| Applying alpha-rule on (9012) yields:
% 55.17/16.31  				| (9013) q(all_0_7_7) = all_0_6_6
% 55.17/16.31  				| (9014)  ! [v0] :  ! [v1] : ( ~ (all_0_6_6 = 0) | v1 = 0 |  ~ (q(v0) = v1))
% 55.17/16.31  				| (9015)  ! [v0] : (all_0_6_6 = 0 |  ~ (q(v0) = 0))
% 55.17/16.31  				| (9016) (all_0_8_8 = 0 & r(all_0_9_9) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_8_8 = 0) & s(all_0_9_9) = all_0_8_8 &  ! [v0] :  ~ (r(v0) = 0))
% 55.17/16.31  				|
% 55.17/16.31  				+-Applying beta-rule and splitting (9010), into two cases.
% 55.17/16.31  				|-Branch one:
% 55.17/16.31  				| (9017) r(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (r(v0) = 0)) & ((((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))
% 55.17/16.31  				|
% 55.17/16.31  					| Applying alpha-rule on (9017) yields:
% 55.17/16.31  					| (9018) r(all_0_11_11) = all_0_10_10
% 55.17/16.31  					| (9019)  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (r(v0) = v1))
% 55.17/16.31  					| (9020)  ! [v0] : (all_0_10_10 = 0 |  ~ (r(v0) = 0))
% 55.17/16.31  					| (1838) (((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))
% 55.17/16.31  					|
% 55.24/16.31  					+-Applying beta-rule and splitting (9016), into two cases.
% 55.24/16.31  					|-Branch one:
% 55.24/16.31  					| (9022) all_0_8_8 = 0 & r(all_0_9_9) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))
% 55.24/16.31  					|
% 55.24/16.31  						| Applying alpha-rule on (9022) yields:
% 55.24/16.31  						| (120) all_0_8_8 = 0
% 55.24/16.31  						| (2195) r(all_0_9_9) = 0
% 55.24/16.31  						| (220)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))
% 55.24/16.31  						|
% 55.24/16.31  						| Instantiating formula (9020) with all_0_9_9 and discharging atoms r(all_0_9_9) = 0, yields:
% 55.24/16.31  						| (58) all_0_10_10 = 0
% 55.24/16.31  						|
% 55.24/16.32  						+-Applying beta-rule and splitting (9007), into two cases.
% 55.24/16.32  						|-Branch one:
% 55.24/16.32  						| (9027) all_0_4_4 = 0 & q(all_0_5_5) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 55.24/16.32  						|
% 55.24/16.32  							| Applying alpha-rule on (9027) yields:
% 55.24/16.32  							| (37) all_0_4_4 = 0
% 55.24/16.32  							| (9029) q(all_0_5_5) = 0
% 55.24/16.32  							| (41)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 55.24/16.32  							|
% 55.24/16.32  							| Instantiating formula (9015) with all_0_5_5 and discharging atoms q(all_0_5_5) = 0, yields:
% 55.24/16.32  							| (54) all_0_6_6 = 0
% 55.24/16.32  							|
% 55.24/16.32  							+-Applying beta-rule and splitting (1838), into two cases.
% 55.24/16.32  							|-Branch one:
% 55.24/16.32  							| (1857) ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))
% 55.24/16.32  							|
% 55.24/16.32  								| Applying alpha-rule on (1857) yields:
% 55.24/16.32  								| (469) (all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))
% 55.24/16.32  								| (1511) (s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))))
% 55.24/16.32  								|
% 55.24/16.32  								+-Applying beta-rule and splitting (1511), into two cases.
% 55.24/16.32  								|-Branch one:
% 55.24/16.32  								| (1512) s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 55.24/16.32  								|
% 55.24/16.32  									| Applying alpha-rule on (1512) yields:
% 55.24/16.32  									| (1513) s(all_0_17_17) = all_0_16_16
% 55.24/16.32  									| (1514)  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 55.24/16.32  									| (1515)  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0))
% 55.24/16.32  									| (1516) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 55.24/16.32  									|
% 55.24/16.32  									| Instantiating formula (220) with all_0_16_16, all_0_17_17 and discharging atoms s(all_0_17_17) = all_0_16_16, yields:
% 55.24/16.32  									| (42) all_0_16_16 = 0
% 55.24/16.32  									|
% 55.24/16.32  									| From (42) and (1513) follows:
% 55.24/16.32  									| (1518) s(all_0_17_17) = 0
% 55.24/16.32  									|
% 55.24/16.32  									+-Applying beta-rule and splitting (469), into two cases.
% 55.24/16.32  									|-Branch one:
% 55.24/16.32  									| (471) all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14
% 55.24/16.32  									|
% 55.24/16.32  										| Applying alpha-rule on (471) yields:
% 55.24/16.32  										| (66) all_0_12_12 = 0
% 55.24/16.32  										| (67)  ~ (all_0_14_14 = 0)
% 55.24/16.32  										| (310) s(all_0_13_13) = 0
% 55.24/16.32  										| (475) p(all_0_15_15) = all_0_14_14
% 55.24/16.32  										|
% 55.24/16.32  										| Instantiating formula (5867) with all_0_14_14, all_0_15_15 and discharging atoms p(all_0_15_15) = all_0_14_14, yields:
% 55.24/16.32  										| (6381)  ? [v0] :  ? [v1] : (( ~ (all_0_14_14 = 0) | ( ~ (v1 = 0) & p(v0) = v1)) & (all_0_14_14 = 0 | (v1 = 0 & p(v0) = 0)))
% 55.24/16.32  										|
% 55.24/16.32  										| Instantiating (6381) with all_81_0_5062, all_81_1_5063 yields:
% 55.24/16.32  										| (9048) ( ~ (all_0_14_14 = 0) | ( ~ (all_81_0_5062 = 0) & p(all_81_1_5063) = all_81_0_5062)) & (all_0_14_14 = 0 | (all_81_0_5062 = 0 & p(all_81_1_5063) = 0))
% 55.24/16.32  										|
% 55.24/16.32  										| Applying alpha-rule on (9048) yields:
% 55.24/16.32  										| (9049)  ~ (all_0_14_14 = 0) | ( ~ (all_81_0_5062 = 0) & p(all_81_1_5063) = all_81_0_5062)
% 55.24/16.32  										| (9050) all_0_14_14 = 0 | (all_81_0_5062 = 0 & p(all_81_1_5063) = 0)
% 55.24/16.32  										|
% 55.24/16.32  										+-Applying beta-rule and splitting (1516), into two cases.
% 55.24/16.32  										|-Branch one:
% 55.24/16.32  										| (1525) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0
% 55.24/16.32  										|
% 55.24/16.32  											| Applying alpha-rule on (1525) yields:
% 55.24/16.32  											| (33) all_0_18_18 = 0
% 55.24/16.32  											| (34)  ~ (all_0_20_20 = 0)
% 55.24/16.32  											| (1528) q(all_0_21_21) = all_0_20_20
% 55.24/16.32  											| (1529) p(all_0_19_19) = 0
% 55.24/16.32  											|
% 55.24/16.32  											| Instantiating formula (9014) with all_0_20_20, all_0_21_21 and discharging atoms q(all_0_21_21) = all_0_20_20, yields:
% 55.24/16.32  											| (2979)  ~ (all_0_6_6 = 0) | all_0_20_20 = 0
% 55.24/16.32  											|
% 55.24/16.32  											+-Applying beta-rule and splitting (2979), into two cases.
% 55.24/16.32  											|-Branch one:
% 55.24/16.32  											| (2980)  ~ (all_0_6_6 = 0)
% 55.24/16.32  											|
% 55.24/16.32  												| Equations (54) can reduce 2980 to:
% 55.24/16.32  												| (59) $false
% 55.24/16.32  												|
% 55.24/16.32  												|-The branch is then unsatisfiable
% 55.24/16.32  											|-Branch two:
% 55.24/16.32  											| (54) all_0_6_6 = 0
% 55.24/16.32  											| (81) all_0_20_20 = 0
% 55.24/16.32  											|
% 55.24/16.32  												| Equations (81) can reduce 34 to:
% 55.24/16.32  												| (59) $false
% 55.24/16.32  												|
% 55.24/16.32  												|-The branch is then unsatisfiable
% 55.24/16.32  										|-Branch two:
% 55.24/16.32  										| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 55.24/16.32  										|
% 55.24/16.32  											| Applying alpha-rule on (76) yields:
% 55.24/16.32  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 55.24/16.32  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 55.24/16.32  											|
% 55.24/16.32  											+-Applying beta-rule and splitting (9050), into two cases.
% 55.24/16.32  											|-Branch one:
% 55.24/16.32  											| (74) all_0_14_14 = 0
% 55.24/16.32  											|
% 55.24/16.32  												| Equations (74) can reduce 67 to:
% 55.24/16.32  												| (59) $false
% 55.24/16.32  												|
% 55.24/16.32  												|-The branch is then unsatisfiable
% 55.24/16.32  											|-Branch two:
% 55.24/16.32  											| (67)  ~ (all_0_14_14 = 0)
% 55.24/16.32  											| (9068) all_81_0_5062 = 0 & p(all_81_1_5063) = 0
% 55.24/16.32  											|
% 55.24/16.32  												| Applying alpha-rule on (9068) yields:
% 55.24/16.32  												| (9069) all_81_0_5062 = 0
% 55.24/16.32  												| (9070) p(all_81_1_5063) = 0
% 55.24/16.32  												|
% 55.24/16.32  												| Instantiating formula (78) with all_81_1_5063 and discharging atoms p(all_81_1_5063) = 0, yields:
% 55.24/16.32  												| (79) $false
% 55.24/16.32  												|
% 55.24/16.32  												|-The branch is then unsatisfiable
% 55.24/16.32  									|-Branch two:
% 55.24/16.32  									| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 55.24/16.32  									|
% 55.24/16.32  										| Applying alpha-rule on (60) yields:
% 55.24/16.32  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 55.24/16.32  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 55.24/16.32  										|
% 55.24/16.32  										| Instantiating formula (62) with all_0_17_17 and discharging atoms s(all_0_17_17) = 0, yields:
% 55.24/16.32  										| (79) $false
% 55.24/16.32  										|
% 55.24/16.32  										|-The branch is then unsatisfiable
% 55.24/16.32  								|-Branch two:
% 55.24/16.32  								| (1545)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))
% 55.24/16.32  								|
% 55.24/16.32  									| Applying alpha-rule on (1545) yields:
% 55.24/16.32  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 55.24/16.32  									| (1547) (all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))
% 55.24/16.32  									|
% 55.24/16.32  									+-Applying beta-rule and splitting (469), into two cases.
% 55.24/16.32  									|-Branch one:
% 55.24/16.32  									| (471) all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14
% 55.24/16.32  									|
% 55.24/16.32  										| Applying alpha-rule on (471) yields:
% 55.24/16.32  										| (66) all_0_12_12 = 0
% 55.24/16.32  										| (67)  ~ (all_0_14_14 = 0)
% 55.24/16.32  										| (310) s(all_0_13_13) = 0
% 55.24/16.32  										| (475) p(all_0_15_15) = all_0_14_14
% 55.24/16.32  										|
% 55.24/16.32  										| Instantiating formula (84) with 0, all_0_13_13 and discharging atoms s(all_0_13_13) = 0, yields:
% 55.24/16.32  										| (278)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & s(v0) = v1)
% 55.24/16.32  										|
% 55.24/16.32  										| Instantiating (278) with all_74_0_5068, all_74_1_5069 yields:
% 55.24/16.32  										| (9085)  ~ (all_74_0_5068 = 0) & s(all_74_1_5069) = all_74_0_5068
% 55.24/16.32  										|
% 55.24/16.32  										| Applying alpha-rule on (9085) yields:
% 55.24/16.32  										| (9086)  ~ (all_74_0_5068 = 0)
% 55.24/16.33  										| (9087) s(all_74_1_5069) = all_74_0_5068
% 55.24/16.33  										|
% 55.24/16.33  										| Instantiating formula (220) with all_74_0_5068, all_74_1_5069 and discharging atoms s(all_74_1_5069) = all_74_0_5068, yields:
% 55.24/16.33  										| (9088) all_74_0_5068 = 0
% 55.24/16.33  										|
% 55.24/16.33  										| Equations (9088) can reduce 9086 to:
% 55.24/16.33  										| (59) $false
% 55.24/16.33  										|
% 55.24/16.33  										|-The branch is then unsatisfiable
% 55.24/16.33  									|-Branch two:
% 55.24/16.33  									| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 55.24/16.33  									|
% 55.24/16.33  										| Applying alpha-rule on (60) yields:
% 55.24/16.33  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 55.26/16.33  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 55.26/16.33  										|
% 55.26/16.33  										+-Applying beta-rule and splitting (1547), into two cases.
% 55.26/16.33  										|-Branch one:
% 55.26/16.33  										| (1563) all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 55.26/16.33  										|
% 55.26/16.33  											| Applying alpha-rule on (1563) yields:
% 55.26/16.33  											| (81) all_0_20_20 = 0
% 55.26/16.33  											| (1565) p(all_0_21_21) = 0
% 55.26/16.33  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 55.26/16.33  											|
% 55.26/16.33  											| Instantiating formula (5867) with 0, all_0_21_21 and discharging atoms p(all_0_21_21) = 0, yields:
% 55.26/16.33  											| (5930)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & p(v0) = v1)
% 55.26/16.33  											|
% 55.26/16.33  											| Instantiating (5930) with all_78_0_5070, all_78_1_5071 yields:
% 55.26/16.33  											| (9098)  ~ (all_78_0_5070 = 0) & p(all_78_1_5071) = all_78_0_5070
% 55.26/16.33  											|
% 55.26/16.33  											| Applying alpha-rule on (9098) yields:
% 55.26/16.33  											| (9099)  ~ (all_78_0_5070 = 0)
% 55.26/16.33  											| (9100) p(all_78_1_5071) = all_78_0_5070
% 55.26/16.33  											|
% 55.26/16.33  											| Instantiating formula (61) with all_78_0_5070, all_78_1_5071 and discharging atoms p(all_78_1_5071) = all_78_0_5070, yields:
% 55.26/16.33  											| (9101) all_78_0_5070 = 0
% 55.26/16.33  											|
% 55.26/16.33  											| Equations (9101) can reduce 9099 to:
% 55.26/16.33  											| (59) $false
% 55.26/16.33  											|
% 55.26/16.33  											|-The branch is then unsatisfiable
% 55.26/16.33  										|-Branch two:
% 55.26/16.33  										| (1573)  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)
% 55.26/16.33  										|
% 55.26/16.33  											| Applying alpha-rule on (1573) yields:
% 55.26/16.33  											| (34)  ~ (all_0_20_20 = 0)
% 55.26/16.33  											| (1528) q(all_0_21_21) = all_0_20_20
% 55.26/16.33  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 55.26/16.33  											|
% 55.26/16.33  											| Instantiating formula (9014) with all_0_20_20, all_0_21_21 and discharging atoms q(all_0_21_21) = all_0_20_20, yields:
% 55.26/16.33  											| (2979)  ~ (all_0_6_6 = 0) | all_0_20_20 = 0
% 55.26/16.33  											|
% 55.26/16.33  											+-Applying beta-rule and splitting (2979), into two cases.
% 55.26/16.33  											|-Branch one:
% 55.26/16.33  											| (2980)  ~ (all_0_6_6 = 0)
% 55.26/16.33  											|
% 55.26/16.33  												| Equations (54) can reduce 2980 to:
% 55.26/16.33  												| (59) $false
% 55.26/16.33  												|
% 55.26/16.33  												|-The branch is then unsatisfiable
% 55.26/16.33  											|-Branch two:
% 55.26/16.33  											| (54) all_0_6_6 = 0
% 55.26/16.33  											| (81) all_0_20_20 = 0
% 55.26/16.33  											|
% 55.26/16.33  												| Equations (81) can reduce 34 to:
% 55.26/16.33  												| (59) $false
% 55.26/16.33  												|
% 55.26/16.33  												|-The branch is then unsatisfiable
% 55.26/16.33  							|-Branch two:
% 55.26/16.33  							| (1925) ((all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))
% 55.26/16.33  							|
% 55.26/16.33  								| Applying alpha-rule on (1925) yields:
% 55.26/16.33  								| (1926) (all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))
% 55.26/16.33  								| (1927) (s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))
% 55.26/16.33  								|
% 55.26/16.33  								+-Applying beta-rule and splitting (1927), into two cases.
% 55.26/16.33  								|-Branch one:
% 55.26/16.33  								| (1934) s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))
% 55.26/16.33  								|
% 55.26/16.33  									| Applying alpha-rule on (1934) yields:
% 55.26/16.33  									| (1935) s(all_0_19_19) = all_0_18_18
% 55.26/16.33  									| (1936)  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 55.26/16.33  									| (1937)  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0))
% 55.26/16.33  									| (1547) (all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))
% 55.26/16.33  									|
% 55.26/16.33  									| Instantiating formula (220) with all_0_18_18, all_0_19_19 and discharging atoms s(all_0_19_19) = all_0_18_18, yields:
% 55.26/16.33  									| (33) all_0_18_18 = 0
% 55.26/16.33  									|
% 55.26/16.33  									| From (33) and (1935) follows:
% 55.26/16.33  									| (1596) s(all_0_19_19) = 0
% 55.26/16.33  									|
% 55.26/16.33  									+-Applying beta-rule and splitting (1926), into two cases.
% 55.26/16.33  									|-Branch one:
% 55.26/16.33  									| (1928) all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 55.26/16.33  									|
% 55.26/16.33  										| Applying alpha-rule on (1928) yields:
% 55.26/16.33  										| (42) all_0_16_16 = 0
% 55.26/16.33  										| (1518) s(all_0_17_17) = 0
% 55.26/16.33  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 55.26/16.33  										|
% 55.26/16.33  										+-Applying beta-rule and splitting (1547), into two cases.
% 55.26/16.33  										|-Branch one:
% 55.26/16.33  										| (1563) all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 55.26/16.33  										|
% 55.26/16.33  											| Applying alpha-rule on (1563) yields:
% 55.26/16.33  											| (81) all_0_20_20 = 0
% 55.26/16.33  											| (1565) p(all_0_21_21) = 0
% 55.26/16.33  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 55.26/16.33  											|
% 55.26/16.33  											| Instantiating formula (5867) with 0, all_0_21_21 and discharging atoms p(all_0_21_21) = 0, yields:
% 55.26/16.33  											| (5930)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & p(v0) = v1)
% 55.26/16.33  											|
% 55.26/16.33  											| Instantiating (5930) with all_90_0_5072, all_90_1_5073 yields:
% 55.26/16.33  											| (9132)  ~ (all_90_0_5072 = 0) & p(all_90_1_5073) = all_90_0_5072
% 55.26/16.33  											|
% 55.26/16.33  											| Applying alpha-rule on (9132) yields:
% 55.26/16.33  											| (9133)  ~ (all_90_0_5072 = 0)
% 55.26/16.33  											| (9134) p(all_90_1_5073) = all_90_0_5072
% 55.26/16.33  											|
% 55.26/16.33  											| Instantiating formula (61) with all_90_0_5072, all_90_1_5073 and discharging atoms p(all_90_1_5073) = all_90_0_5072, yields:
% 55.26/16.33  											| (9135) all_90_0_5072 = 0
% 55.26/16.33  											|
% 55.26/16.33  											| Equations (9135) can reduce 9133 to:
% 55.26/16.33  											| (59) $false
% 55.26/16.33  											|
% 55.26/16.33  											|-The branch is then unsatisfiable
% 55.26/16.33  										|-Branch two:
% 55.26/16.34  										| (1573)  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)
% 55.26/16.34  										|
% 55.26/16.34  											| Applying alpha-rule on (1573) yields:
% 55.26/16.34  											| (34)  ~ (all_0_20_20 = 0)
% 55.26/16.34  											| (1528) q(all_0_21_21) = all_0_20_20
% 55.26/16.34  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 55.26/16.34  											|
% 55.26/16.34  											| Instantiating formula (9014) with all_0_20_20, all_0_21_21 and discharging atoms q(all_0_21_21) = all_0_20_20, yields:
% 55.26/16.34  											| (2979)  ~ (all_0_6_6 = 0) | all_0_20_20 = 0
% 55.26/16.34  											|
% 55.26/16.34  											+-Applying beta-rule and splitting (2979), into two cases.
% 55.26/16.34  											|-Branch one:
% 55.26/16.34  											| (2980)  ~ (all_0_6_6 = 0)
% 55.26/16.34  											|
% 55.26/16.34  												| Equations (54) can reduce 2980 to:
% 55.26/16.34  												| (59) $false
% 55.26/16.34  												|
% 55.26/16.34  												|-The branch is then unsatisfiable
% 55.26/16.34  											|-Branch two:
% 55.26/16.34  											| (54) all_0_6_6 = 0
% 55.26/16.34  											| (81) all_0_20_20 = 0
% 55.26/16.34  											|
% 55.26/16.34  												| Equations (81) can reduce 34 to:
% 55.26/16.34  												| (59) $false
% 55.26/16.34  												|
% 55.26/16.34  												|-The branch is then unsatisfiable
% 55.26/16.34  									|-Branch two:
% 55.26/16.34  									| (1960)  ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0)
% 55.26/16.34  									|
% 55.26/16.34  										| Applying alpha-rule on (1960) yields:
% 55.26/16.34  										| (71)  ~ (all_0_16_16 = 0)
% 55.26/16.34  										| (1962) p(all_0_17_17) = all_0_16_16
% 55.26/16.34  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 55.26/16.34  										|
% 55.26/16.34  										| Instantiating formula (62) with all_0_19_19 and discharging atoms s(all_0_19_19) = 0, yields:
% 55.26/16.34  										| (79) $false
% 55.26/16.34  										|
% 55.26/16.34  										|-The branch is then unsatisfiable
% 55.26/16.34  								|-Branch two:
% 55.26/16.34  								| (1951)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 55.26/16.34  								|
% 55.26/16.34  									| Applying alpha-rule on (1951) yields:
% 55.26/16.34  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 55.26/16.34  									| (1516) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 55.26/16.34  									|
% 55.26/16.34  									+-Applying beta-rule and splitting (1926), into two cases.
% 55.26/16.34  									|-Branch one:
% 55.26/16.34  									| (1928) all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 55.26/16.34  									|
% 55.26/16.34  										| Applying alpha-rule on (1928) yields:
% 55.26/16.34  										| (42) all_0_16_16 = 0
% 55.26/16.34  										| (1518) s(all_0_17_17) = 0
% 55.26/16.34  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 55.26/16.34  										|
% 55.26/16.34  										| Instantiating formula (84) with 0, all_0_17_17 and discharging atoms s(all_0_17_17) = 0, yields:
% 55.26/16.34  										| (278)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & s(v0) = v1)
% 55.26/16.34  										|
% 55.26/16.34  										| Instantiating (278) with all_74_0_5074, all_74_1_5075 yields:
% 55.26/16.34  										| (9160)  ~ (all_74_0_5074 = 0) & s(all_74_1_5075) = all_74_0_5074
% 55.26/16.34  										|
% 55.26/16.34  										| Applying alpha-rule on (9160) yields:
% 55.26/16.34  										| (9161)  ~ (all_74_0_5074 = 0)
% 55.26/16.34  										| (9162) s(all_74_1_5075) = all_74_0_5074
% 55.26/16.34  										|
% 55.26/16.34  										| Instantiating formula (220) with all_74_0_5074, all_74_1_5075 and discharging atoms s(all_74_1_5075) = all_74_0_5074, yields:
% 55.26/16.34  										| (9163) all_74_0_5074 = 0
% 55.26/16.34  										|
% 55.26/16.34  										| Equations (9163) can reduce 9161 to:
% 55.26/16.34  										| (59) $false
% 55.26/16.34  										|
% 55.26/16.34  										|-The branch is then unsatisfiable
% 55.26/16.34  									|-Branch two:
% 55.26/16.34  									| (1960)  ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0)
% 55.26/16.34  									|
% 55.26/16.34  										| Applying alpha-rule on (1960) yields:
% 55.26/16.34  										| (71)  ~ (all_0_16_16 = 0)
% 55.26/16.34  										| (1962) p(all_0_17_17) = all_0_16_16
% 55.26/16.34  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 55.26/16.34  										|
% 55.26/16.34  										| Instantiating formula (5867) with all_0_16_16, all_0_17_17 and discharging atoms p(all_0_17_17) = all_0_16_16, yields:
% 55.26/16.34  										| (7971)  ? [v0] :  ? [v1] : (( ~ (all_0_16_16 = 0) | ( ~ (v1 = 0) & p(v0) = v1)) & (all_0_16_16 = 0 | (v1 = 0 & p(v0) = 0)))
% 55.26/16.34  										|
% 55.26/16.34  										| Instantiating (7971) with all_74_0_5076, all_74_1_5077 yields:
% 55.26/16.34  										| (9170) ( ~ (all_0_16_16 = 0) | ( ~ (all_74_0_5076 = 0) & p(all_74_1_5077) = all_74_0_5076)) & (all_0_16_16 = 0 | (all_74_0_5076 = 0 & p(all_74_1_5077) = 0))
% 55.26/16.34  										|
% 55.26/16.34  										| Applying alpha-rule on (9170) yields:
% 55.26/16.34  										| (9171)  ~ (all_0_16_16 = 0) | ( ~ (all_74_0_5076 = 0) & p(all_74_1_5077) = all_74_0_5076)
% 55.26/16.34  										| (9172) all_0_16_16 = 0 | (all_74_0_5076 = 0 & p(all_74_1_5077) = 0)
% 55.26/16.34  										|
% 55.26/16.34  										+-Applying beta-rule and splitting (1516), into two cases.
% 55.26/16.34  										|-Branch one:
% 55.26/16.34  										| (1525) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0
% 55.26/16.34  										|
% 55.26/16.34  											| Applying alpha-rule on (1525) yields:
% 55.26/16.34  											| (33) all_0_18_18 = 0
% 55.26/16.34  											| (34)  ~ (all_0_20_20 = 0)
% 55.26/16.34  											| (1528) q(all_0_21_21) = all_0_20_20
% 55.26/16.34  											| (1529) p(all_0_19_19) = 0
% 55.26/16.34  											|
% 55.26/16.34  											| Instantiating formula (9014) with all_0_20_20, all_0_21_21 and discharging atoms q(all_0_21_21) = all_0_20_20, yields:
% 55.26/16.34  											| (2979)  ~ (all_0_6_6 = 0) | all_0_20_20 = 0
% 55.26/16.34  											|
% 55.26/16.34  											+-Applying beta-rule and splitting (2979), into two cases.
% 55.26/16.34  											|-Branch one:
% 55.26/16.34  											| (2980)  ~ (all_0_6_6 = 0)
% 55.26/16.34  											|
% 55.26/16.34  												| Equations (54) can reduce 2980 to:
% 55.26/16.34  												| (59) $false
% 55.26/16.34  												|
% 55.26/16.34  												|-The branch is then unsatisfiable
% 55.26/16.34  											|-Branch two:
% 55.26/16.34  											| (54) all_0_6_6 = 0
% 55.26/16.34  											| (81) all_0_20_20 = 0
% 55.26/16.34  											|
% 55.26/16.34  												| Equations (81) can reduce 34 to:
% 55.26/16.34  												| (59) $false
% 55.26/16.34  												|
% 55.26/16.34  												|-The branch is then unsatisfiable
% 55.26/16.34  										|-Branch two:
% 55.26/16.34  										| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 55.26/16.34  										|
% 55.26/16.34  											| Applying alpha-rule on (76) yields:
% 55.26/16.34  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 55.26/16.34  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 55.26/16.34  											|
% 55.26/16.34  											+-Applying beta-rule and splitting (9172), into two cases.
% 55.26/16.34  											|-Branch one:
% 55.26/16.34  											| (42) all_0_16_16 = 0
% 55.26/16.34  											|
% 55.26/16.34  												| Equations (42) can reduce 71 to:
% 55.26/16.34  												| (59) $false
% 55.26/16.34  												|
% 55.26/16.34  												|-The branch is then unsatisfiable
% 55.26/16.34  											|-Branch two:
% 55.26/16.34  											| (71)  ~ (all_0_16_16 = 0)
% 55.26/16.34  											| (9190) all_74_0_5076 = 0 & p(all_74_1_5077) = 0
% 55.26/16.34  											|
% 55.26/16.34  												| Applying alpha-rule on (9190) yields:
% 55.26/16.34  												| (9191) all_74_0_5076 = 0
% 55.26/16.34  												| (9192) p(all_74_1_5077) = 0
% 55.26/16.34  												|
% 55.26/16.34  												| Instantiating formula (78) with all_74_1_5077 and discharging atoms p(all_74_1_5077) = 0, yields:
% 55.26/16.34  												| (79) $false
% 55.26/16.34  												|
% 55.26/16.34  												|-The branch is then unsatisfiable
% 55.26/16.34  						|-Branch two:
% 55.26/16.34  						| (9194)  ~ (all_0_4_4 = 0) & r(all_0_5_5) = all_0_4_4 &  ! [v0] :  ~ (q(v0) = 0)
% 55.26/16.35  						|
% 55.26/16.35  							| Applying alpha-rule on (9194) yields:
% 55.26/16.35  							| (214)  ~ (all_0_4_4 = 0)
% 55.26/16.35  							| (28) r(all_0_5_5) = all_0_4_4
% 55.26/16.35  							| (212)  ! [v0] :  ~ (q(v0) = 0)
% 55.26/16.35  							|
% 55.26/16.35  							| Instantiating formula (9019) with all_0_4_4, all_0_5_5 and discharging atoms r(all_0_5_5) = all_0_4_4, yields:
% 55.26/16.35  							| (3584)  ~ (all_0_10_10 = 0) | all_0_4_4 = 0
% 55.26/16.35  							|
% 55.26/16.35  							+-Applying beta-rule and splitting (3584), into two cases.
% 55.26/16.35  							|-Branch one:
% 55.26/16.35  							| (52)  ~ (all_0_10_10 = 0)
% 55.26/16.35  							|
% 55.26/16.35  								| Equations (58) can reduce 52 to:
% 55.26/16.35  								| (59) $false
% 55.26/16.35  								|
% 55.26/16.35  								|-The branch is then unsatisfiable
% 55.26/16.35  							|-Branch two:
% 55.26/16.35  							| (58) all_0_10_10 = 0
% 55.26/16.35  							| (37) all_0_4_4 = 0
% 55.26/16.35  							|
% 55.26/16.35  								| Equations (37) can reduce 214 to:
% 55.26/16.35  								| (59) $false
% 55.26/16.35  								|
% 55.26/16.35  								|-The branch is then unsatisfiable
% 55.26/16.35  					|-Branch two:
% 55.26/16.35  					| (9204)  ~ (all_0_8_8 = 0) & s(all_0_9_9) = all_0_8_8 &  ! [v0] :  ~ (r(v0) = 0)
% 55.26/16.35  					|
% 55.26/16.35  						| Applying alpha-rule on (9204) yields:
% 55.26/16.35  						| (55)  ~ (all_0_8_8 = 0)
% 55.26/16.35  						| (478) s(all_0_9_9) = all_0_8_8
% 55.26/16.35  						| (221)  ! [v0] :  ~ (r(v0) = 0)
% 55.26/16.35  						|
% 55.26/16.35  						+-Applying beta-rule and splitting (9007), into two cases.
% 55.26/16.35  						|-Branch one:
% 55.26/16.35  						| (9027) all_0_4_4 = 0 & q(all_0_5_5) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 55.26/16.35  						|
% 55.26/16.35  							| Applying alpha-rule on (9027) yields:
% 55.26/16.35  							| (37) all_0_4_4 = 0
% 55.26/16.35  							| (9029) q(all_0_5_5) = 0
% 55.26/16.35  							| (41)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 55.26/16.35  							|
% 55.26/16.35  							| Instantiating formula (41) with all_0_10_10, all_0_11_11 and discharging atoms r(all_0_11_11) = all_0_10_10, yields:
% 55.26/16.35  							| (58) all_0_10_10 = 0
% 55.26/16.35  							|
% 55.26/16.35  							| From (58) and (9018) follows:
% 55.26/16.35  							| (1501) r(all_0_11_11) = 0
% 55.26/16.35  							|
% 55.26/16.35  							| Instantiating formula (221) with all_0_11_11 and discharging atoms r(all_0_11_11) = 0, yields:
% 55.26/16.35  							| (79) $false
% 55.26/16.35  							|
% 55.26/16.35  							|-The branch is then unsatisfiable
% 55.26/16.35  						|-Branch two:
% 55.26/16.35  						| (9194)  ~ (all_0_4_4 = 0) & r(all_0_5_5) = all_0_4_4 &  ! [v0] :  ~ (q(v0) = 0)
% 55.26/16.35  						|
% 55.26/16.35  							| Applying alpha-rule on (9194) yields:
% 55.26/16.35  							| (214)  ~ (all_0_4_4 = 0)
% 55.26/16.35  							| (28) r(all_0_5_5) = all_0_4_4
% 55.26/16.35  							| (212)  ! [v0] :  ~ (q(v0) = 0)
% 55.26/16.35  							|
% 55.26/16.35  							+-Applying beta-rule and splitting (1838), into two cases.
% 55.26/16.35  							|-Branch one:
% 55.26/16.35  							| (1857) ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))
% 55.26/16.35  							|
% 55.26/16.35  								| Applying alpha-rule on (1857) yields:
% 55.26/16.35  								| (469) (all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))
% 55.26/16.35  								| (1511) (s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))))
% 55.26/16.35  								|
% 55.26/16.35  								+-Applying beta-rule and splitting (1511), into two cases.
% 55.26/16.35  								|-Branch one:
% 55.26/16.35  								| (1512) s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 55.26/16.35  								|
% 55.26/16.35  									| Applying alpha-rule on (1512) yields:
% 55.26/16.35  									| (1513) s(all_0_17_17) = all_0_16_16
% 55.26/16.35  									| (1514)  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 55.26/16.35  									| (1515)  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0))
% 55.26/16.35  									| (1516) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 55.26/16.35  									|
% 55.26/16.35  									| Instantiating formula (1514) with all_0_8_8, all_0_9_9 and discharging atoms s(all_0_9_9) = all_0_8_8, yields:
% 55.26/16.35  									| (9227)  ~ (all_0_16_16 = 0) | all_0_8_8 = 0
% 55.26/16.35  									|
% 55.26/16.35  									+-Applying beta-rule and splitting (9227), into two cases.
% 55.26/16.35  									|-Branch one:
% 55.26/16.35  									| (71)  ~ (all_0_16_16 = 0)
% 55.26/16.35  									|
% 55.26/16.35  										+-Applying beta-rule and splitting (469), into two cases.
% 55.26/16.35  										|-Branch one:
% 55.26/16.35  										| (471) all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14
% 55.26/16.35  										|
% 55.26/16.35  											| Applying alpha-rule on (471) yields:
% 55.26/16.35  											| (66) all_0_12_12 = 0
% 55.26/16.35  											| (67)  ~ (all_0_14_14 = 0)
% 55.26/16.35  											| (310) s(all_0_13_13) = 0
% 55.26/16.35  											| (475) p(all_0_15_15) = all_0_14_14
% 55.26/16.35  											|
% 55.26/16.35  											| Instantiating formula (1515) with all_0_13_13 and discharging atoms s(all_0_13_13) = 0, yields:
% 55.26/16.35  											| (42) all_0_16_16 = 0
% 55.26/16.35  											|
% 55.26/16.35  											| Equations (42) can reduce 71 to:
% 55.26/16.35  											| (59) $false
% 55.26/16.35  											|
% 55.26/16.35  											|-The branch is then unsatisfiable
% 55.26/16.35  										|-Branch two:
% 55.26/16.35  										| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 55.26/16.35  										|
% 55.26/16.35  											| Applying alpha-rule on (60) yields:
% 55.26/16.35  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 55.26/16.35  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 55.26/16.35  											|
% 55.26/16.35  											+-Applying beta-rule and splitting (1516), into two cases.
% 55.26/16.35  											|-Branch one:
% 55.26/16.35  											| (1525) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0
% 55.26/16.35  											|
% 55.26/16.35  												| Applying alpha-rule on (1525) yields:
% 55.26/16.35  												| (33) all_0_18_18 = 0
% 55.26/16.35  												| (34)  ~ (all_0_20_20 = 0)
% 55.26/16.35  												| (1528) q(all_0_21_21) = all_0_20_20
% 55.26/16.35  												| (1529) p(all_0_19_19) = 0
% 55.26/16.35  												|
% 55.26/16.35  												| Instantiating formula (5867) with 0, all_0_19_19 and discharging atoms p(all_0_19_19) = 0, yields:
% 55.26/16.35  												| (5930)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & p(v0) = v1)
% 55.26/16.35  												|
% 55.26/16.35  												| Instantiating (5930) with all_81_0_5080, all_81_1_5081 yields:
% 55.26/16.35  												| (9245)  ~ (all_81_0_5080 = 0) & p(all_81_1_5081) = all_81_0_5080
% 55.26/16.35  												|
% 55.26/16.35  												| Applying alpha-rule on (9245) yields:
% 55.26/16.35  												| (9246)  ~ (all_81_0_5080 = 0)
% 55.26/16.35  												| (9247) p(all_81_1_5081) = all_81_0_5080
% 55.26/16.35  												|
% 55.26/16.35  												| Instantiating formula (61) with all_81_0_5080, all_81_1_5081 and discharging atoms p(all_81_1_5081) = all_81_0_5080, yields:
% 55.26/16.35  												| (9248) all_81_0_5080 = 0
% 55.26/16.35  												|
% 55.26/16.35  												| Equations (9248) can reduce 9246 to:
% 55.26/16.35  												| (59) $false
% 55.26/16.35  												|
% 55.26/16.35  												|-The branch is then unsatisfiable
% 55.26/16.35  											|-Branch two:
% 55.26/16.35  											| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 55.26/16.35  											|
% 55.26/16.35  												| Applying alpha-rule on (76) yields:
% 55.26/16.35  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 55.26/16.35  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 55.26/16.35  												|
% 55.26/16.35  												| Instantiating formula (77) with all_0_6_6, all_0_7_7 and discharging atoms q(all_0_7_7) = all_0_6_6, yields:
% 55.26/16.35  												| (54) all_0_6_6 = 0
% 55.26/16.35  												|
% 55.26/16.35  												| From (54) and (9013) follows:
% 55.26/16.36  												| (9254) q(all_0_7_7) = 0
% 55.26/16.36  												|
% 55.26/16.36  												| Instantiating formula (212) with all_0_7_7 and discharging atoms q(all_0_7_7) = 0, yields:
% 55.26/16.36  												| (79) $false
% 55.26/16.36  												|
% 55.26/16.36  												|-The branch is then unsatisfiable
% 55.26/16.36  									|-Branch two:
% 55.26/16.36  									| (42) all_0_16_16 = 0
% 55.26/16.36  									| (120) all_0_8_8 = 0
% 55.26/16.36  									|
% 55.26/16.36  										| Equations (120) can reduce 55 to:
% 55.26/16.36  										| (59) $false
% 55.26/16.36  										|
% 55.26/16.36  										|-The branch is then unsatisfiable
% 55.26/16.36  								|-Branch two:
% 55.26/16.36  								| (1545)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))
% 55.26/16.36  								|
% 55.26/16.36  									| Applying alpha-rule on (1545) yields:
% 55.26/16.36  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 55.26/16.36  									| (1547) (all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))
% 55.26/16.36  									|
% 55.26/16.36  									| Instantiating formula (84) with all_0_8_8, all_0_9_9 and discharging atoms s(all_0_9_9) = all_0_8_8, yields:
% 55.26/16.36  									| (9262)  ? [v0] :  ? [v1] : (( ~ (all_0_8_8 = 0) | ( ~ (v1 = 0) & s(v0) = v1)) & (all_0_8_8 = 0 | (v1 = 0 & s(v0) = 0)))
% 55.26/16.36  									|
% 55.26/16.36  									| Instantiating (9262) with all_56_0_5082, all_56_1_5083 yields:
% 55.26/16.36  									| (9263) ( ~ (all_0_8_8 = 0) | ( ~ (all_56_0_5082 = 0) & s(all_56_1_5083) = all_56_0_5082)) & (all_0_8_8 = 0 | (all_56_0_5082 = 0 & s(all_56_1_5083) = 0))
% 55.26/16.36  									|
% 55.26/16.36  									| Applying alpha-rule on (9263) yields:
% 55.26/16.36  									| (9264)  ~ (all_0_8_8 = 0) | ( ~ (all_56_0_5082 = 0) & s(all_56_1_5083) = all_56_0_5082)
% 55.26/16.36  									| (9265) all_0_8_8 = 0 | (all_56_0_5082 = 0 & s(all_56_1_5083) = 0)
% 55.26/16.36  									|
% 55.26/16.36  									+-Applying beta-rule and splitting (9265), into two cases.
% 55.26/16.36  									|-Branch one:
% 55.26/16.36  									| (120) all_0_8_8 = 0
% 55.26/16.36  									|
% 55.26/16.36  										| Equations (120) can reduce 55 to:
% 55.26/16.36  										| (59) $false
% 55.26/16.36  										|
% 55.26/16.36  										|-The branch is then unsatisfiable
% 55.26/16.36  									|-Branch two:
% 55.26/16.36  									| (55)  ~ (all_0_8_8 = 0)
% 55.26/16.36  									| (9269) all_56_0_5082 = 0 & s(all_56_1_5083) = 0
% 55.26/16.36  									|
% 55.26/16.36  										| Applying alpha-rule on (9269) yields:
% 55.26/16.36  										| (9270) all_56_0_5082 = 0
% 55.26/16.36  										| (9271) s(all_56_1_5083) = 0
% 55.26/16.36  										|
% 55.26/16.36  										+-Applying beta-rule and splitting (469), into two cases.
% 55.26/16.36  										|-Branch one:
% 55.26/16.36  										| (471) all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14
% 55.26/16.36  										|
% 55.26/16.36  											| Applying alpha-rule on (471) yields:
% 55.26/16.36  											| (66) all_0_12_12 = 0
% 55.26/16.36  											| (67)  ~ (all_0_14_14 = 0)
% 55.26/16.36  											| (310) s(all_0_13_13) = 0
% 55.26/16.36  											| (475) p(all_0_15_15) = all_0_14_14
% 55.26/16.36  											|
% 55.26/16.36  											| Instantiating formula (5867) with all_0_14_14, all_0_15_15 and discharging atoms p(all_0_15_15) = all_0_14_14, yields:
% 55.26/16.36  											| (6381)  ? [v0] :  ? [v1] : (( ~ (all_0_14_14 = 0) | ( ~ (v1 = 0) & p(v0) = v1)) & (all_0_14_14 = 0 | (v1 = 0 & p(v0) = 0)))
% 55.26/16.36  											|
% 55.26/16.36  											| Instantiating (6381) with all_88_0_5088, all_88_1_5089 yields:
% 55.26/16.36  											| (9278) ( ~ (all_0_14_14 = 0) | ( ~ (all_88_0_5088 = 0) & p(all_88_1_5089) = all_88_0_5088)) & (all_0_14_14 = 0 | (all_88_0_5088 = 0 & p(all_88_1_5089) = 0))
% 55.26/16.36  											|
% 55.26/16.36  											| Applying alpha-rule on (9278) yields:
% 55.26/16.36  											| (9279)  ~ (all_0_14_14 = 0) | ( ~ (all_88_0_5088 = 0) & p(all_88_1_5089) = all_88_0_5088)
% 55.26/16.36  											| (9280) all_0_14_14 = 0 | (all_88_0_5088 = 0 & p(all_88_1_5089) = 0)
% 55.26/16.36  											|
% 55.26/16.36  											+-Applying beta-rule and splitting (9280), into two cases.
% 55.26/16.36  											|-Branch one:
% 55.26/16.36  											| (74) all_0_14_14 = 0
% 55.26/16.36  											|
% 55.26/16.36  												| Equations (74) can reduce 67 to:
% 55.26/16.36  												| (59) $false
% 55.26/16.36  												|
% 55.26/16.36  												|-The branch is then unsatisfiable
% 55.26/16.36  											|-Branch two:
% 55.26/16.36  											| (67)  ~ (all_0_14_14 = 0)
% 55.26/16.36  											| (9284) all_88_0_5088 = 0 & p(all_88_1_5089) = 0
% 55.26/16.36  											|
% 55.26/16.36  												| Applying alpha-rule on (9284) yields:
% 55.26/16.36  												| (9285) all_88_0_5088 = 0
% 55.26/16.36  												| (9286) p(all_88_1_5089) = 0
% 55.26/16.36  												|
% 55.26/16.36  												+-Applying beta-rule and splitting (1547), into two cases.
% 55.26/16.36  												|-Branch one:
% 55.26/16.36  												| (1563) all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 55.26/16.36  												|
% 55.26/16.36  													| Applying alpha-rule on (1563) yields:
% 55.26/16.36  													| (81) all_0_20_20 = 0
% 55.26/16.36  													| (1565) p(all_0_21_21) = 0
% 55.26/16.36  													| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 55.26/16.36  													|
% 55.26/16.36  													| Instantiating formula (77) with all_0_6_6, all_0_7_7 and discharging atoms q(all_0_7_7) = all_0_6_6, yields:
% 55.26/16.36  													| (54) all_0_6_6 = 0
% 55.26/16.36  													|
% 55.26/16.36  													| From (54) and (9013) follows:
% 55.26/16.36  													| (9254) q(all_0_7_7) = 0
% 55.26/16.36  													|
% 55.26/16.36  													| Instantiating formula (212) with all_0_7_7 and discharging atoms q(all_0_7_7) = 0, yields:
% 55.26/16.36  													| (79) $false
% 55.26/16.36  													|
% 55.26/16.36  													|-The branch is then unsatisfiable
% 55.26/16.36  												|-Branch two:
% 55.26/16.36  												| (1573)  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)
% 55.26/16.36  												|
% 55.26/16.36  													| Applying alpha-rule on (1573) yields:
% 55.26/16.36  													| (34)  ~ (all_0_20_20 = 0)
% 55.26/16.36  													| (1528) q(all_0_21_21) = all_0_20_20
% 55.26/16.36  													| (78)  ! [v0] :  ~ (p(v0) = 0)
% 55.26/16.36  													|
% 55.26/16.36  													| Instantiating formula (78) with all_88_1_5089 and discharging atoms p(all_88_1_5089) = 0, yields:
% 55.26/16.36  													| (79) $false
% 55.26/16.36  													|
% 55.26/16.36  													|-The branch is then unsatisfiable
% 55.26/16.36  										|-Branch two:
% 55.26/16.36  										| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 55.26/16.36  										|
% 55.26/16.36  											| Applying alpha-rule on (60) yields:
% 55.26/16.36  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 55.26/16.36  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 55.26/16.36  											|
% 55.26/16.36  											| Instantiating formula (62) with all_56_1_5083 and discharging atoms s(all_56_1_5083) = 0, yields:
% 55.26/16.36  											| (79) $false
% 55.26/16.36  											|
% 55.26/16.36  											|-The branch is then unsatisfiable
% 55.26/16.36  							|-Branch two:
% 55.26/16.36  							| (1925) ((all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))
% 55.26/16.37  							|
% 55.26/16.37  								| Applying alpha-rule on (1925) yields:
% 55.26/16.37  								| (1926) (all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))
% 55.26/16.37  								| (1927) (s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))
% 55.26/16.37  								|
% 55.26/16.37  								+-Applying beta-rule and splitting (1927), into two cases.
% 55.26/16.37  								|-Branch one:
% 55.26/16.37  								| (1934) s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))
% 55.26/16.37  								|
% 55.26/16.37  									| Applying alpha-rule on (1934) yields:
% 55.26/16.37  									| (1935) s(all_0_19_19) = all_0_18_18
% 55.26/16.37  									| (1936)  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 55.26/16.37  									| (1937)  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0))
% 55.26/16.37  									| (1547) (all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))
% 55.26/16.37  									|
% 55.26/16.37  									| Instantiating formula (1936) with all_0_8_8, all_0_9_9 and discharging atoms s(all_0_9_9) = all_0_8_8, yields:
% 55.26/16.37  									| (9311)  ~ (all_0_18_18 = 0) | all_0_8_8 = 0
% 55.26/16.37  									|
% 55.26/16.37  									+-Applying beta-rule and splitting (9311), into two cases.
% 55.26/16.37  									|-Branch one:
% 55.26/16.37  									| (2094)  ~ (all_0_18_18 = 0)
% 55.26/16.37  									|
% 55.26/16.37  										+-Applying beta-rule and splitting (1926), into two cases.
% 55.26/16.37  										|-Branch one:
% 55.26/16.37  										| (1928) all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 55.26/16.37  										|
% 55.26/16.37  											| Applying alpha-rule on (1928) yields:
% 55.26/16.37  											| (42) all_0_16_16 = 0
% 55.26/16.37  											| (1518) s(all_0_17_17) = 0
% 55.26/16.37  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 55.26/16.37  											|
% 55.26/16.37  											| Instantiating formula (1937) with all_0_17_17 and discharging atoms s(all_0_17_17) = 0, yields:
% 55.26/16.37  											| (33) all_0_18_18 = 0
% 55.26/16.37  											|
% 55.26/16.37  											| Equations (33) can reduce 2094 to:
% 55.26/16.37  											| (59) $false
% 55.26/16.37  											|
% 55.26/16.37  											|-The branch is then unsatisfiable
% 55.26/16.37  										|-Branch two:
% 55.26/16.37  										| (1960)  ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0)
% 55.26/16.37  										|
% 55.26/16.37  											| Applying alpha-rule on (1960) yields:
% 55.26/16.37  											| (71)  ~ (all_0_16_16 = 0)
% 55.26/16.37  											| (1962) p(all_0_17_17) = all_0_16_16
% 55.26/16.37  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 55.26/16.37  											|
% 55.26/16.37  											| Instantiating formula (5867) with all_0_16_16, all_0_17_17 and discharging atoms p(all_0_17_17) = all_0_16_16, yields:
% 55.26/16.37  											| (7971)  ? [v0] :  ? [v1] : (( ~ (all_0_16_16 = 0) | ( ~ (v1 = 0) & p(v0) = v1)) & (all_0_16_16 = 0 | (v1 = 0 & p(v0) = 0)))
% 55.26/16.37  											|
% 55.26/16.37  											| Instantiating (7971) with all_78_0_5116, all_78_1_5117 yields:
% 55.26/16.37  											| (9324) ( ~ (all_0_16_16 = 0) | ( ~ (all_78_0_5116 = 0) & p(all_78_1_5117) = all_78_0_5116)) & (all_0_16_16 = 0 | (all_78_0_5116 = 0 & p(all_78_1_5117) = 0))
% 55.26/16.37  											|
% 55.26/16.37  											| Applying alpha-rule on (9324) yields:
% 55.26/16.37  											| (9325)  ~ (all_0_16_16 = 0) | ( ~ (all_78_0_5116 = 0) & p(all_78_1_5117) = all_78_0_5116)
% 55.26/16.37  											| (9326) all_0_16_16 = 0 | (all_78_0_5116 = 0 & p(all_78_1_5117) = 0)
% 55.26/16.37  											|
% 55.26/16.37  											+-Applying beta-rule and splitting (1547), into two cases.
% 55.26/16.37  											|-Branch one:
% 55.26/16.37  											| (1563) all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 55.26/16.37  											|
% 55.26/16.37  												| Applying alpha-rule on (1563) yields:
% 55.26/16.37  												| (81) all_0_20_20 = 0
% 55.26/16.37  												| (1565) p(all_0_21_21) = 0
% 55.26/16.37  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 55.26/16.37  												|
% 55.26/16.37  												| Instantiating formula (77) with all_0_6_6, all_0_7_7 and discharging atoms q(all_0_7_7) = all_0_6_6, yields:
% 55.26/16.37  												| (54) all_0_6_6 = 0
% 55.26/16.37  												|
% 55.26/16.37  												| From (54) and (9013) follows:
% 55.26/16.37  												| (9254) q(all_0_7_7) = 0
% 55.26/16.37  												|
% 55.26/16.37  												| Instantiating formula (212) with all_0_7_7 and discharging atoms q(all_0_7_7) = 0, yields:
% 55.26/16.37  												| (79) $false
% 55.26/16.37  												|
% 55.26/16.37  												|-The branch is then unsatisfiable
% 55.26/16.37  											|-Branch two:
% 55.26/16.37  											| (1573)  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)
% 55.26/16.37  											|
% 55.26/16.37  												| Applying alpha-rule on (1573) yields:
% 55.26/16.37  												| (34)  ~ (all_0_20_20 = 0)
% 55.26/16.37  												| (1528) q(all_0_21_21) = all_0_20_20
% 55.26/16.37  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 55.26/16.37  												|
% 55.26/16.37  												+-Applying beta-rule and splitting (9326), into two cases.
% 55.26/16.37  												|-Branch one:
% 55.26/16.37  												| (42) all_0_16_16 = 0
% 55.26/16.37  												|
% 55.26/16.37  													| Equations (42) can reduce 71 to:
% 55.26/16.37  													| (59) $false
% 55.26/16.37  													|
% 55.26/16.37  													|-The branch is then unsatisfiable
% 55.26/16.37  												|-Branch two:
% 55.26/16.37  												| (71)  ~ (all_0_16_16 = 0)
% 55.26/16.37  												| (9341) all_78_0_5116 = 0 & p(all_78_1_5117) = 0
% 55.26/16.37  												|
% 55.26/16.37  													| Applying alpha-rule on (9341) yields:
% 55.26/16.37  													| (9342) all_78_0_5116 = 0
% 55.26/16.37  													| (9343) p(all_78_1_5117) = 0
% 55.26/16.37  													|
% 55.26/16.37  													| Instantiating formula (78) with all_78_1_5117 and discharging atoms p(all_78_1_5117) = 0, yields:
% 55.26/16.37  													| (79) $false
% 55.26/16.37  													|
% 55.26/16.37  													|-The branch is then unsatisfiable
% 55.26/16.37  									|-Branch two:
% 55.26/16.37  									| (33) all_0_18_18 = 0
% 55.26/16.37  									| (120) all_0_8_8 = 0
% 55.26/16.37  									|
% 55.26/16.37  										| Equations (120) can reduce 55 to:
% 55.26/16.37  										| (59) $false
% 55.26/16.37  										|
% 55.26/16.37  										|-The branch is then unsatisfiable
% 55.26/16.37  								|-Branch two:
% 55.26/16.37  								| (1951)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 55.26/16.37  								|
% 55.26/16.37  									| Applying alpha-rule on (1951) yields:
% 55.26/16.37  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 55.26/16.37  									| (1516) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 55.26/16.37  									|
% 55.26/16.37  									| Instantiating formula (84) with all_0_8_8, all_0_9_9 and discharging atoms s(all_0_9_9) = all_0_8_8, yields:
% 55.26/16.37  									| (9262)  ? [v0] :  ? [v1] : (( ~ (all_0_8_8 = 0) | ( ~ (v1 = 0) & s(v0) = v1)) & (all_0_8_8 = 0 | (v1 = 0 & s(v0) = 0)))
% 55.26/16.37  									|
% 55.26/16.37  									| Instantiating (9262) with all_56_0_5118, all_56_1_5119 yields:
% 55.26/16.37  									| (9352) ( ~ (all_0_8_8 = 0) | ( ~ (all_56_0_5118 = 0) & s(all_56_1_5119) = all_56_0_5118)) & (all_0_8_8 = 0 | (all_56_0_5118 = 0 & s(all_56_1_5119) = 0))
% 55.26/16.38  									|
% 55.26/16.38  									| Applying alpha-rule on (9352) yields:
% 55.26/16.38  									| (9353)  ~ (all_0_8_8 = 0) | ( ~ (all_56_0_5118 = 0) & s(all_56_1_5119) = all_56_0_5118)
% 55.26/16.38  									| (9354) all_0_8_8 = 0 | (all_56_0_5118 = 0 & s(all_56_1_5119) = 0)
% 55.26/16.38  									|
% 55.26/16.38  									+-Applying beta-rule and splitting (9354), into two cases.
% 55.26/16.38  									|-Branch one:
% 55.26/16.38  									| (120) all_0_8_8 = 0
% 55.26/16.38  									|
% 55.26/16.38  										| Equations (120) can reduce 55 to:
% 55.26/16.38  										| (59) $false
% 55.26/16.38  										|
% 55.26/16.38  										|-The branch is then unsatisfiable
% 55.26/16.38  									|-Branch two:
% 55.26/16.38  									| (55)  ~ (all_0_8_8 = 0)
% 55.26/16.38  									| (9358) all_56_0_5118 = 0 & s(all_56_1_5119) = 0
% 55.26/16.38  									|
% 55.26/16.38  										| Applying alpha-rule on (9358) yields:
% 55.26/16.38  										| (9359) all_56_0_5118 = 0
% 55.26/16.38  										| (9360) s(all_56_1_5119) = 0
% 55.26/16.38  										|
% 55.26/16.38  										+-Applying beta-rule and splitting (1926), into two cases.
% 55.26/16.38  										|-Branch one:
% 55.26/16.38  										| (1928) all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 55.26/16.38  										|
% 55.26/16.38  											| Applying alpha-rule on (1928) yields:
% 55.26/16.38  											| (42) all_0_16_16 = 0
% 55.26/16.38  											| (1518) s(all_0_17_17) = 0
% 55.26/16.38  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 55.26/16.38  											|
% 55.26/16.38  											+-Applying beta-rule and splitting (1516), into two cases.
% 55.26/16.38  											|-Branch one:
% 55.26/16.38  											| (1525) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0
% 55.26/16.38  											|
% 55.26/16.38  												| Applying alpha-rule on (1525) yields:
% 55.26/16.38  												| (33) all_0_18_18 = 0
% 55.26/16.38  												| (34)  ~ (all_0_20_20 = 0)
% 55.26/16.38  												| (1528) q(all_0_21_21) = all_0_20_20
% 55.26/16.38  												| (1529) p(all_0_19_19) = 0
% 55.26/16.38  												|
% 55.26/16.38  												| Instantiating formula (5867) with 0, all_0_19_19 and discharging atoms p(all_0_19_19) = 0, yields:
% 55.26/16.38  												| (5930)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & p(v0) = v1)
% 55.26/16.38  												|
% 55.26/16.38  												| Instantiating (5930) with all_108_0_5128, all_108_1_5129 yields:
% 55.26/16.38  												| (9371)  ~ (all_108_0_5128 = 0) & p(all_108_1_5129) = all_108_0_5128
% 55.26/16.38  												|
% 55.26/16.38  												| Applying alpha-rule on (9371) yields:
% 55.26/16.38  												| (9372)  ~ (all_108_0_5128 = 0)
% 55.26/16.38  												| (9373) p(all_108_1_5129) = all_108_0_5128
% 55.26/16.38  												|
% 55.26/16.38  												| Instantiating formula (61) with all_108_0_5128, all_108_1_5129 and discharging atoms p(all_108_1_5129) = all_108_0_5128, yields:
% 55.26/16.38  												| (9374) all_108_0_5128 = 0
% 55.26/16.38  												|
% 55.26/16.38  												| Equations (9374) can reduce 9372 to:
% 55.26/16.38  												| (59) $false
% 55.26/16.38  												|
% 55.26/16.38  												|-The branch is then unsatisfiable
% 55.26/16.38  											|-Branch two:
% 55.26/16.38  											| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 55.26/16.38  											|
% 55.26/16.38  												| Applying alpha-rule on (76) yields:
% 55.26/16.38  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 55.26/16.38  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 55.26/16.38  												|
% 55.26/16.38  												| Instantiating formula (77) with all_0_6_6, all_0_7_7 and discharging atoms q(all_0_7_7) = all_0_6_6, yields:
% 55.26/16.38  												| (54) all_0_6_6 = 0
% 55.26/16.38  												|
% 55.26/16.38  												| From (54) and (9013) follows:
% 55.26/16.38  												| (9254) q(all_0_7_7) = 0
% 55.26/16.38  												|
% 55.26/16.38  												| Instantiating formula (212) with all_0_7_7 and discharging atoms q(all_0_7_7) = 0, yields:
% 55.26/16.38  												| (79) $false
% 55.26/16.38  												|
% 55.26/16.38  												|-The branch is then unsatisfiable
% 55.26/16.38  										|-Branch two:
% 55.26/16.38  										| (1960)  ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0)
% 55.26/16.38  										|
% 55.26/16.38  											| Applying alpha-rule on (1960) yields:
% 55.26/16.38  											| (71)  ~ (all_0_16_16 = 0)
% 55.26/16.38  											| (1962) p(all_0_17_17) = all_0_16_16
% 55.26/16.38  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 55.26/16.38  											|
% 55.26/16.38  											| Instantiating formula (62) with all_56_1_5119 and discharging atoms s(all_56_1_5119) = 0, yields:
% 55.26/16.38  											| (79) $false
% 55.26/16.38  											|
% 55.26/16.38  											|-The branch is then unsatisfiable
% 55.26/16.38  				|-Branch two:
% 55.26/16.38  				| (9387)  ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))
% 55.26/16.38  				|
% 55.26/16.38  					| Applying alpha-rule on (9387) yields:
% 55.26/16.38  					| (370)  ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0))))
% 55.26/16.38  					| (1498) (((all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))
% 55.26/16.38  					|
% 55.26/16.39  					+-Applying beta-rule and splitting (9016), into two cases.
% 55.26/16.39  					|-Branch one:
% 55.26/16.39  					| (9022) all_0_8_8 = 0 & r(all_0_9_9) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))
% 55.26/16.39  					|
% 55.26/16.39  						| Applying alpha-rule on (9022) yields:
% 55.26/16.39  						| (120) all_0_8_8 = 0
% 55.26/16.39  						| (2195) r(all_0_9_9) = 0
% 55.26/16.39  						| (220)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))
% 55.26/16.39  						|
% 55.26/16.39  						| Instantiating formula (370) with 0, all_0_9_9 and discharging atoms r(all_0_9_9) = 0, yields:
% 55.26/16.39  						| (377)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & r(v0) = v1)
% 55.26/16.39  						|
% 55.26/16.39  						| Instantiating (377) with all_41_0_5132, all_41_1_5133 yields:
% 55.26/16.39  						| (9395)  ~ (all_41_0_5132 = 0) & r(all_41_1_5133) = all_41_0_5132
% 55.26/16.39  						|
% 55.26/16.39  						| Applying alpha-rule on (9395) yields:
% 55.26/16.39  						| (9396)  ~ (all_41_0_5132 = 0)
% 55.26/16.39  						| (9397) r(all_41_1_5133) = all_41_0_5132
% 55.26/16.39  						|
% 55.26/16.39  						+-Applying beta-rule and splitting (9007), into two cases.
% 55.26/16.39  						|-Branch one:
% 55.26/16.39  						| (9027) all_0_4_4 = 0 & q(all_0_5_5) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 55.26/16.39  						|
% 55.26/16.39  							| Applying alpha-rule on (9027) yields:
% 55.26/16.39  							| (37) all_0_4_4 = 0
% 55.26/16.39  							| (9029) q(all_0_5_5) = 0
% 55.26/16.39  							| (41)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 55.26/16.39  							|
% 55.26/16.39  							| Instantiating formula (41) with all_41_0_5132, all_41_1_5133 and discharging atoms r(all_41_1_5133) = all_41_0_5132, yields:
% 55.26/16.39  							| (9402) all_41_0_5132 = 0
% 55.26/16.39  							|
% 55.26/16.39  							| Equations (9402) can reduce 9396 to:
% 55.26/16.39  							| (59) $false
% 55.26/16.39  							|
% 55.26/16.39  							|-The branch is then unsatisfiable
% 55.26/16.39  						|-Branch two:
% 55.26/16.39  						| (9194)  ~ (all_0_4_4 = 0) & r(all_0_5_5) = all_0_4_4 &  ! [v0] :  ~ (q(v0) = 0)
% 55.26/16.39  						|
% 55.26/16.39  							| Applying alpha-rule on (9194) yields:
% 55.26/16.39  							| (214)  ~ (all_0_4_4 = 0)
% 55.26/16.39  							| (28) r(all_0_5_5) = all_0_4_4
% 55.26/16.39  							| (212)  ! [v0] :  ~ (q(v0) = 0)
% 55.26/16.39  							|
% 55.26/16.39  							+-Applying beta-rule and splitting (1498), into two cases.
% 55.26/16.39  							|-Branch one:
% 55.26/16.39  							| (1509) ((all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))
% 55.26/16.39  							|
% 55.26/16.39  								| Applying alpha-rule on (1509) yields:
% 55.26/16.39  								| (1510) (all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))
% 55.26/16.39  								| (1511) (s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))))
% 55.26/16.39  								|
% 55.26/16.39  								+-Applying beta-rule and splitting (1510), into two cases.
% 55.26/16.39  								|-Branch one:
% 55.26/16.39  								| (1519) all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 55.26/16.39  								|
% 55.26/16.39  									| Applying alpha-rule on (1519) yields:
% 55.26/16.39  									| (74) all_0_14_14 = 0
% 55.26/16.39  									| (1521) s(all_0_15_15) = 0
% 55.26/16.39  									| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 55.26/16.39  									|
% 55.26/16.39  									+-Applying beta-rule and splitting (1511), into two cases.
% 55.26/16.39  									|-Branch one:
% 55.26/16.39  									| (1512) s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 55.26/16.39  									|
% 55.26/16.39  										| Applying alpha-rule on (1512) yields:
% 55.26/16.39  										| (1513) s(all_0_17_17) = all_0_16_16
% 55.26/16.39  										| (1514)  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 55.26/16.39  										| (1515)  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0))
% 55.26/16.39  										| (1516) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 55.26/16.39  										|
% 55.26/16.39  										+-Applying beta-rule and splitting (1516), into two cases.
% 55.26/16.39  										|-Branch one:
% 55.26/16.39  										| (1525) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0
% 55.26/16.39  										|
% 55.26/16.39  											| Applying alpha-rule on (1525) yields:
% 55.26/16.39  											| (33) all_0_18_18 = 0
% 55.26/16.39  											| (34)  ~ (all_0_20_20 = 0)
% 55.26/16.39  											| (1528) q(all_0_21_21) = all_0_20_20
% 55.26/16.39  											| (1529) p(all_0_19_19) = 0
% 55.26/16.39  											|
% 55.26/16.39  											| Instantiating formula (5867) with 0, all_0_19_19 and discharging atoms p(all_0_19_19) = 0, yields:
% 55.26/16.39  											| (5930)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & p(v0) = v1)
% 55.26/16.39  											|
% 55.26/16.39  											| Instantiating (5930) with all_395_0_5240, all_395_1_5241 yields:
% 55.26/16.39  											| (9426)  ~ (all_395_0_5240 = 0) & p(all_395_1_5241) = all_395_0_5240
% 55.26/16.39  											|
% 55.26/16.39  											| Applying alpha-rule on (9426) yields:
% 55.26/16.39  											| (9427)  ~ (all_395_0_5240 = 0)
% 55.26/16.39  											| (9428) p(all_395_1_5241) = all_395_0_5240
% 55.26/16.39  											|
% 55.26/16.39  											| Instantiating formula (61) with all_395_0_5240, all_395_1_5241 and discharging atoms p(all_395_1_5241) = all_395_0_5240, yields:
% 55.26/16.39  											| (9429) all_395_0_5240 = 0
% 55.26/16.39  											|
% 55.26/16.39  											| Equations (9429) can reduce 9427 to:
% 55.26/16.39  											| (59) $false
% 55.26/16.39  											|
% 55.26/16.39  											|-The branch is then unsatisfiable
% 55.26/16.39  										|-Branch two:
% 55.26/16.39  										| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 55.26/16.39  										|
% 55.26/16.39  											| Applying alpha-rule on (76) yields:
% 55.26/16.39  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 55.26/16.39  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 55.26/16.39  											|
% 55.26/16.39  											| Instantiating formula (77) with all_0_6_6, all_0_7_7 and discharging atoms q(all_0_7_7) = all_0_6_6, yields:
% 55.26/16.39  											| (54) all_0_6_6 = 0
% 55.26/16.39  											|
% 55.26/16.39  											| From (54) and (9013) follows:
% 55.26/16.40  											| (9254) q(all_0_7_7) = 0
% 55.26/16.40  											|
% 55.26/16.40  											| Instantiating formula (212) with all_0_7_7 and discharging atoms q(all_0_7_7) = 0, yields:
% 55.26/16.40  											| (79) $false
% 55.26/16.40  											|
% 55.26/16.40  											|-The branch is then unsatisfiable
% 55.26/16.40  									|-Branch two:
% 55.26/16.40  									| (1545)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))
% 55.26/16.40  									|
% 55.26/16.40  										| Applying alpha-rule on (1545) yields:
% 55.26/16.40  										| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 55.26/16.40  										| (1547) (all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))
% 55.26/16.40  										|
% 55.26/16.40  										| Instantiating formula (84) with 0, all_0_15_15 and discharging atoms s(all_0_15_15) = 0, yields:
% 55.26/16.40  										| (278)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & s(v0) = v1)
% 55.26/16.40  										|
% 55.26/16.40  										| Instantiating (278) with all_279_0_5248, all_279_1_5249 yields:
% 55.26/16.40  										| (9441)  ~ (all_279_0_5248 = 0) & s(all_279_1_5249) = all_279_0_5248
% 55.26/16.40  										|
% 55.26/16.40  										| Applying alpha-rule on (9441) yields:
% 55.26/16.40  										| (9442)  ~ (all_279_0_5248 = 0)
% 55.26/16.40  										| (9443) s(all_279_1_5249) = all_279_0_5248
% 55.26/16.40  										|
% 55.26/16.40  										| Instantiating formula (220) with all_279_0_5248, all_279_1_5249 and discharging atoms s(all_279_1_5249) = all_279_0_5248, yields:
% 55.26/16.40  										| (9444) all_279_0_5248 = 0
% 55.26/16.40  										|
% 55.26/16.40  										| Equations (9444) can reduce 9442 to:
% 55.26/16.40  										| (59) $false
% 55.26/16.40  										|
% 55.26/16.40  										|-The branch is then unsatisfiable
% 55.26/16.40  								|-Branch two:
% 55.26/16.40  								| (1540)  ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0)
% 55.26/16.40  								|
% 55.26/16.40  									| Applying alpha-rule on (1540) yields:
% 55.26/16.40  									| (67)  ~ (all_0_14_14 = 0)
% 55.26/16.40  									| (475) p(all_0_15_15) = all_0_14_14
% 55.26/16.40  									| (62)  ! [v0] :  ~ (s(v0) = 0)
% 55.26/16.40  									|
% 55.26/16.40  									+-Applying beta-rule and splitting (1511), into two cases.
% 55.26/16.40  									|-Branch one:
% 55.26/16.40  									| (1512) s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 55.26/16.40  									|
% 55.26/16.40  										| Applying alpha-rule on (1512) yields:
% 55.26/16.40  										| (1513) s(all_0_17_17) = all_0_16_16
% 55.26/16.40  										| (1514)  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 55.26/16.40  										| (1515)  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0))
% 55.26/16.40  										| (1516) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 55.26/16.40  										|
% 55.26/16.40  										| Instantiating formula (220) with all_0_16_16, all_0_17_17 and discharging atoms s(all_0_17_17) = all_0_16_16, yields:
% 55.26/16.40  										| (42) all_0_16_16 = 0
% 55.26/16.40  										|
% 55.26/16.40  										| From (42) and (1513) follows:
% 55.26/16.40  										| (1518) s(all_0_17_17) = 0
% 55.26/16.40  										|
% 55.26/16.40  										| Instantiating formula (62) with all_0_17_17 and discharging atoms s(all_0_17_17) = 0, yields:
% 55.26/16.40  										| (79) $false
% 55.26/16.40  										|
% 55.26/16.40  										|-The branch is then unsatisfiable
% 55.26/16.40  									|-Branch two:
% 55.26/16.40  									| (1545)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))
% 55.26/16.40  									|
% 55.26/16.40  										| Applying alpha-rule on (1545) yields:
% 55.26/16.40  										| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 55.26/16.40  										| (1547) (all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))
% 55.26/16.40  										|
% 55.26/16.40  										| Instantiating formula (5867) with all_0_14_14, all_0_15_15 and discharging atoms p(all_0_15_15) = all_0_14_14, yields:
% 55.26/16.40  										| (6381)  ? [v0] :  ? [v1] : (( ~ (all_0_14_14 = 0) | ( ~ (v1 = 0) & p(v0) = v1)) & (all_0_14_14 = 0 | (v1 = 0 & p(v0) = 0)))
% 55.26/16.40  										|
% 55.26/16.40  										| Instantiating (6381) with all_277_0_5252, all_277_1_5253 yields:
% 55.26/16.40  										| (9462) ( ~ (all_0_14_14 = 0) | ( ~ (all_277_0_5252 = 0) & p(all_277_1_5253) = all_277_0_5252)) & (all_0_14_14 = 0 | (all_277_0_5252 = 0 & p(all_277_1_5253) = 0))
% 55.26/16.40  										|
% 55.26/16.40  										| Applying alpha-rule on (9462) yields:
% 55.26/16.40  										| (9463)  ~ (all_0_14_14 = 0) | ( ~ (all_277_0_5252 = 0) & p(all_277_1_5253) = all_277_0_5252)
% 55.26/16.40  										| (9464) all_0_14_14 = 0 | (all_277_0_5252 = 0 & p(all_277_1_5253) = 0)
% 55.26/16.40  										|
% 55.26/16.40  										+-Applying beta-rule and splitting (9464), into two cases.
% 55.26/16.40  										|-Branch one:
% 55.26/16.40  										| (74) all_0_14_14 = 0
% 55.26/16.40  										|
% 55.26/16.40  											| Equations (74) can reduce 67 to:
% 55.26/16.40  											| (59) $false
% 55.26/16.40  											|
% 55.26/16.40  											|-The branch is then unsatisfiable
% 55.26/16.40  										|-Branch two:
% 55.26/16.40  										| (67)  ~ (all_0_14_14 = 0)
% 55.26/16.40  										| (9468) all_277_0_5252 = 0 & p(all_277_1_5253) = 0
% 55.26/16.40  										|
% 55.26/16.40  											| Applying alpha-rule on (9468) yields:
% 55.26/16.40  											| (9469) all_277_0_5252 = 0
% 55.26/16.40  											| (9470) p(all_277_1_5253) = 0
% 55.26/16.40  											|
% 55.26/16.40  											+-Applying beta-rule and splitting (1547), into two cases.
% 55.26/16.40  											|-Branch one:
% 55.26/16.40  											| (1563) all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 55.26/16.40  											|
% 55.26/16.40  												| Applying alpha-rule on (1563) yields:
% 55.26/16.40  												| (81) all_0_20_20 = 0
% 55.26/16.40  												| (1565) p(all_0_21_21) = 0
% 55.26/16.40  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 55.26/16.40  												|
% 55.26/16.40  												| Instantiating formula (77) with all_0_6_6, all_0_7_7 and discharging atoms q(all_0_7_7) = all_0_6_6, yields:
% 55.26/16.40  												| (54) all_0_6_6 = 0
% 55.26/16.40  												|
% 55.26/16.40  												| From (54) and (9013) follows:
% 55.26/16.40  												| (9254) q(all_0_7_7) = 0
% 55.26/16.40  												|
% 55.26/16.40  												| Instantiating formula (212) with all_0_7_7 and discharging atoms q(all_0_7_7) = 0, yields:
% 55.26/16.40  												| (79) $false
% 55.26/16.40  												|
% 55.26/16.40  												|-The branch is then unsatisfiable
% 55.26/16.40  											|-Branch two:
% 55.26/16.40  											| (1573)  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)
% 55.26/16.40  											|
% 55.26/16.40  												| Applying alpha-rule on (1573) yields:
% 55.26/16.40  												| (34)  ~ (all_0_20_20 = 0)
% 55.26/16.40  												| (1528) q(all_0_21_21) = all_0_20_20
% 55.26/16.40  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 55.26/16.40  												|
% 55.26/16.40  												| Instantiating formula (78) with all_277_1_5253 and discharging atoms p(all_277_1_5253) = 0, yields:
% 55.26/16.40  												| (79) $false
% 55.26/16.40  												|
% 55.26/16.40  												|-The branch is then unsatisfiable
% 55.26/16.40  							|-Branch two:
% 55.26/16.40  							| (1583) ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))
% 55.26/16.41  							|
% 55.26/16.41  								| Applying alpha-rule on (1583) yields:
% 55.26/16.41  								| (1584) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))
% 55.26/16.41  								| (1585) (s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))
% 55.26/16.41  								|
% 55.26/16.41  								+-Applying beta-rule and splitting (1584), into two cases.
% 55.26/16.41  								|-Branch one:
% 55.26/16.41  								| (1593) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20
% 55.26/16.41  								|
% 55.26/16.41  									| Applying alpha-rule on (1593) yields:
% 55.26/16.41  									| (33) all_0_18_18 = 0
% 55.26/16.41  									| (34)  ~ (all_0_20_20 = 0)
% 55.26/16.41  									| (1596) s(all_0_19_19) = 0
% 55.26/16.41  									| (1597) p(all_0_21_21) = all_0_20_20
% 55.26/16.41  									|
% 55.26/16.41  									+-Applying beta-rule and splitting (1585), into two cases.
% 55.26/16.41  									|-Branch one:
% 55.26/16.41  									| (1586) s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))
% 55.26/16.41  									|
% 55.26/16.41  										| Applying alpha-rule on (1586) yields:
% 55.26/16.41  										| (1587) s(all_0_15_15) = all_0_14_14
% 55.26/16.41  										| (1588)  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 55.26/16.41  										| (1589)  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0))
% 55.26/16.41  										| (1590) (all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0))
% 55.26/16.41  										|
% 55.26/16.41  										| Instantiating formula (5867) with all_0_20_20, all_0_21_21 and discharging atoms p(all_0_21_21) = all_0_20_20, yields:
% 55.26/16.41  										| (7561)  ? [v0] :  ? [v1] : (( ~ (all_0_20_20 = 0) | ( ~ (v1 = 0) & p(v0) = v1)) & (all_0_20_20 = 0 | (v1 = 0 & p(v0) = 0)))
% 55.26/16.41  										|
% 55.26/16.41  										| Instantiating (7561) with all_280_0_5340, all_280_1_5341 yields:
% 55.26/16.41  										| (9497) ( ~ (all_0_20_20 = 0) | ( ~ (all_280_0_5340 = 0) & p(all_280_1_5341) = all_280_0_5340)) & (all_0_20_20 = 0 | (all_280_0_5340 = 0 & p(all_280_1_5341) = 0))
% 55.26/16.41  										|
% 55.26/16.41  										| Applying alpha-rule on (9497) yields:
% 55.26/16.41  										| (9498)  ~ (all_0_20_20 = 0) | ( ~ (all_280_0_5340 = 0) & p(all_280_1_5341) = all_280_0_5340)
% 55.26/16.41  										| (9499) all_0_20_20 = 0 | (all_280_0_5340 = 0 & p(all_280_1_5341) = 0)
% 55.26/16.41  										|
% 55.45/16.41  										+-Applying beta-rule and splitting (9499), into two cases.
% 55.45/16.41  										|-Branch one:
% 55.45/16.41  										| (81) all_0_20_20 = 0
% 55.45/16.41  										|
% 55.45/16.41  											| Equations (81) can reduce 34 to:
% 55.45/16.41  											| (59) $false
% 55.45/16.41  											|
% 55.45/16.41  											|-The branch is then unsatisfiable
% 55.45/16.41  										|-Branch two:
% 55.45/16.41  										| (34)  ~ (all_0_20_20 = 0)
% 55.45/16.41  										| (9503) all_280_0_5340 = 0 & p(all_280_1_5341) = 0
% 55.45/16.41  										|
% 55.45/16.41  											| Applying alpha-rule on (9503) yields:
% 55.45/16.41  											| (9504) all_280_0_5340 = 0
% 55.45/16.41  											| (9505) p(all_280_1_5341) = 0
% 55.45/16.41  											|
% 55.45/16.41  											+-Applying beta-rule and splitting (1590), into two cases.
% 55.45/16.41  											|-Branch one:
% 55.45/16.41  											| (1599) all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 55.45/16.41  											|
% 55.45/16.41  												| Applying alpha-rule on (1599) yields:
% 55.45/16.41  												| (42) all_0_16_16 = 0
% 55.45/16.41  												| (1601) p(all_0_17_17) = 0
% 55.45/16.41  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 55.45/16.41  												|
% 55.45/16.41  												| Instantiating formula (77) with all_0_6_6, all_0_7_7 and discharging atoms q(all_0_7_7) = all_0_6_6, yields:
% 55.45/16.41  												| (54) all_0_6_6 = 0
% 55.45/16.41  												|
% 55.45/16.41  												| From (54) and (9013) follows:
% 55.45/16.41  												| (9254) q(all_0_7_7) = 0
% 55.45/16.41  												|
% 55.45/16.41  												| Instantiating formula (212) with all_0_7_7 and discharging atoms q(all_0_7_7) = 0, yields:
% 55.45/16.41  												| (79) $false
% 55.45/16.41  												|
% 55.45/16.41  												|-The branch is then unsatisfiable
% 55.45/16.41  											|-Branch two:
% 55.45/16.41  											| (1609)  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)
% 55.45/16.41  											|
% 55.45/16.41  												| Applying alpha-rule on (1609) yields:
% 55.45/16.41  												| (71)  ~ (all_0_16_16 = 0)
% 55.45/16.41  												| (23) q(all_0_17_17) = all_0_16_16
% 55.45/16.41  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 55.45/16.41  												|
% 55.45/16.41  												| Instantiating formula (78) with all_280_1_5341 and discharging atoms p(all_280_1_5341) = 0, yields:
% 55.45/16.41  												| (79) $false
% 55.45/16.41  												|
% 55.45/16.41  												|-The branch is then unsatisfiable
% 55.45/16.41  									|-Branch two:
% 55.45/16.41  									| (1623)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 55.45/16.41  									|
% 55.45/16.41  										| Applying alpha-rule on (1623) yields:
% 55.45/16.41  										| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 55.45/16.41  										| (1625) (all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 55.45/16.41  										|
% 55.45/16.41  										| Instantiating formula (84) with 0, all_0_19_19 and discharging atoms s(all_0_19_19) = 0, yields:
% 55.45/16.41  										| (278)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & s(v0) = v1)
% 55.45/16.41  										|
% 55.45/16.41  										| Instantiating (278) with all_280_0_5388, all_280_1_5389 yields:
% 55.45/16.41  										| (9522)  ~ (all_280_0_5388 = 0) & s(all_280_1_5389) = all_280_0_5388
% 55.45/16.41  										|
% 55.45/16.41  										| Applying alpha-rule on (9522) yields:
% 55.45/16.41  										| (9523)  ~ (all_280_0_5388 = 0)
% 55.45/16.41  										| (9524) s(all_280_1_5389) = all_280_0_5388
% 55.45/16.41  										|
% 55.45/16.41  										| Instantiating formula (220) with all_280_0_5388, all_280_1_5389 and discharging atoms s(all_280_1_5389) = all_280_0_5388, yields:
% 55.45/16.41  										| (9525) all_280_0_5388 = 0
% 55.45/16.41  										|
% 55.45/16.41  										| Equations (9525) can reduce 9523 to:
% 55.45/16.41  										| (59) $false
% 55.45/16.41  										|
% 55.45/16.41  										|-The branch is then unsatisfiable
% 55.45/16.41  								|-Branch two:
% 55.45/16.41  								| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 55.45/16.41  								|
% 55.45/16.41  									| Applying alpha-rule on (60) yields:
% 55.45/16.41  									| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 55.45/16.41  									| (62)  ! [v0] :  ~ (s(v0) = 0)
% 55.45/16.41  									|
% 55.45/16.42  									+-Applying beta-rule and splitting (1585), into two cases.
% 55.45/16.42  									|-Branch one:
% 55.45/16.42  									| (1586) s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))
% 55.45/16.42  									|
% 55.45/16.42  										| Applying alpha-rule on (1586) yields:
% 55.45/16.42  										| (1587) s(all_0_15_15) = all_0_14_14
% 55.45/16.42  										| (1588)  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 55.45/16.42  										| (1589)  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0))
% 55.45/16.42  										| (1590) (all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0))
% 55.45/16.42  										|
% 55.45/16.42  										| Instantiating formula (220) with all_0_14_14, all_0_15_15 and discharging atoms s(all_0_15_15) = all_0_14_14, yields:
% 55.45/16.42  										| (74) all_0_14_14 = 0
% 55.45/16.42  										|
% 55.45/16.42  										| From (74) and (1587) follows:
% 55.45/16.42  										| (1521) s(all_0_15_15) = 0
% 55.45/16.42  										|
% 55.45/16.42  										| Instantiating formula (62) with all_0_15_15 and discharging atoms s(all_0_15_15) = 0, yields:
% 55.45/16.42  										| (79) $false
% 55.45/16.42  										|
% 55.45/16.42  										|-The branch is then unsatisfiable
% 55.45/16.42  									|-Branch two:
% 55.45/16.42  									| (1623)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 55.45/16.42  									|
% 55.45/16.42  										| Applying alpha-rule on (1623) yields:
% 55.45/16.42  										| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 55.45/16.42  										| (1625) (all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 55.45/16.42  										|
% 55.45/16.42  										+-Applying beta-rule and splitting (1625), into two cases.
% 55.45/16.42  										|-Branch one:
% 55.45/16.42  										| (1642) all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0
% 55.45/16.42  										|
% 55.45/16.42  											| Applying alpha-rule on (1642) yields:
% 55.45/16.42  											| (74) all_0_14_14 = 0
% 55.45/16.42  											| (71)  ~ (all_0_16_16 = 0)
% 55.45/16.42  											| (23) q(all_0_17_17) = all_0_16_16
% 55.45/16.42  											| (105) p(all_0_15_15) = 0
% 55.45/16.42  											|
% 55.45/16.42  											| Instantiating formula (5867) with 0, all_0_15_15 and discharging atoms p(all_0_15_15) = 0, yields:
% 55.45/16.42  											| (5930)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & p(v0) = v1)
% 55.45/16.42  											|
% 55.45/16.42  											| Instantiating (5930) with all_400_0_5430, all_400_1_5431 yields:
% 55.45/16.42  											| (9547)  ~ (all_400_0_5430 = 0) & p(all_400_1_5431) = all_400_0_5430
% 55.45/16.42  											|
% 55.45/16.42  											| Applying alpha-rule on (9547) yields:
% 55.45/16.42  											| (9548)  ~ (all_400_0_5430 = 0)
% 55.45/16.42  											| (9549) p(all_400_1_5431) = all_400_0_5430
% 55.45/16.42  											|
% 55.45/16.42  											| Instantiating formula (61) with all_400_0_5430, all_400_1_5431 and discharging atoms p(all_400_1_5431) = all_400_0_5430, yields:
% 55.45/16.42  											| (9550) all_400_0_5430 = 0
% 55.45/16.42  											|
% 55.45/16.42  											| Equations (9550) can reduce 9548 to:
% 55.45/16.42  											| (59) $false
% 55.45/16.42  											|
% 55.45/16.42  											|-The branch is then unsatisfiable
% 55.45/16.42  										|-Branch two:
% 55.45/16.42  										| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 55.45/16.42  										|
% 55.45/16.42  											| Applying alpha-rule on (76) yields:
% 55.45/16.42  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 55.45/16.42  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 55.45/16.42  											|
% 55.45/16.42  											| Instantiating formula (77) with all_0_6_6, all_0_7_7 and discharging atoms q(all_0_7_7) = all_0_6_6, yields:
% 55.45/16.42  											| (54) all_0_6_6 = 0
% 55.45/16.42  											|
% 55.45/16.42  											| From (54) and (9013) follows:
% 55.45/16.42  											| (9254) q(all_0_7_7) = 0
% 55.45/16.42  											|
% 55.45/16.42  											| Instantiating formula (212) with all_0_7_7 and discharging atoms q(all_0_7_7) = 0, yields:
% 55.45/16.42  											| (79) $false
% 55.45/16.42  											|
% 55.45/16.42  											|-The branch is then unsatisfiable
% 55.45/16.42  					|-Branch two:
% 55.45/16.42  					| (9204)  ~ (all_0_8_8 = 0) & s(all_0_9_9) = all_0_8_8 &  ! [v0] :  ~ (r(v0) = 0)
% 55.45/16.42  					|
% 55.45/16.42  						| Applying alpha-rule on (9204) yields:
% 55.45/16.42  						| (55)  ~ (all_0_8_8 = 0)
% 55.45/16.42  						| (478) s(all_0_9_9) = all_0_8_8
% 55.45/16.42  						| (221)  ! [v0] :  ~ (r(v0) = 0)
% 55.45/16.42  						|
% 55.45/16.42  						+-Applying beta-rule and splitting (9007), into two cases.
% 55.45/16.42  						|-Branch one:
% 55.45/16.42  						| (9027) all_0_4_4 = 0 & q(all_0_5_5) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 55.45/16.42  						|
% 55.45/16.42  							| Applying alpha-rule on (9027) yields:
% 55.45/16.42  							| (37) all_0_4_4 = 0
% 55.45/16.42  							| (9029) q(all_0_5_5) = 0
% 55.45/16.42  							| (41)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 55.45/16.42  							|
% 55.45/16.42  							| Instantiating formula (9015) with all_0_5_5 and discharging atoms q(all_0_5_5) = 0, yields:
% 55.45/16.42  							| (54) all_0_6_6 = 0
% 55.45/16.42  							|
% 55.45/16.42  							+-Applying beta-rule and splitting (1498), into two cases.
% 55.45/16.42  							|-Branch one:
% 55.45/16.42  							| (1509) ((all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))
% 55.45/16.42  							|
% 55.45/16.42  								| Applying alpha-rule on (1509) yields:
% 55.45/16.42  								| (1510) (all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))
% 55.45/16.42  								| (1511) (s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))))
% 55.45/16.42  								|
% 55.45/16.42  								+-Applying beta-rule and splitting (1511), into two cases.
% 55.45/16.42  								|-Branch one:
% 55.45/16.42  								| (1512) s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 55.45/16.42  								|
% 55.45/16.42  									| Applying alpha-rule on (1512) yields:
% 55.45/16.42  									| (1513) s(all_0_17_17) = all_0_16_16
% 55.45/16.42  									| (1514)  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 55.45/16.42  									| (1515)  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0))
% 55.45/16.42  									| (1516) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 55.45/16.42  									|
% 55.45/16.42  									| Instantiating formula (1514) with all_0_8_8, all_0_9_9 and discharging atoms s(all_0_9_9) = all_0_8_8, yields:
% 55.45/16.43  									| (9227)  ~ (all_0_16_16 = 0) | all_0_8_8 = 0
% 55.45/16.43  									|
% 55.45/16.43  									+-Applying beta-rule and splitting (9227), into two cases.
% 55.45/16.43  									|-Branch one:
% 55.45/16.43  									| (71)  ~ (all_0_16_16 = 0)
% 55.45/16.43  									|
% 55.45/16.43  										+-Applying beta-rule and splitting (1510), into two cases.
% 55.45/16.43  										|-Branch one:
% 55.45/16.43  										| (1519) all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 55.45/16.43  										|
% 55.45/16.43  											| Applying alpha-rule on (1519) yields:
% 55.45/16.43  											| (74) all_0_14_14 = 0
% 55.45/16.43  											| (1521) s(all_0_15_15) = 0
% 55.45/16.43  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 55.45/16.43  											|
% 55.45/16.43  											| Instantiating formula (1515) with all_0_15_15 and discharging atoms s(all_0_15_15) = 0, yields:
% 55.45/16.43  											| (42) all_0_16_16 = 0
% 55.45/16.43  											|
% 55.45/16.43  											| Equations (42) can reduce 71 to:
% 55.45/16.43  											| (59) $false
% 55.45/16.43  											|
% 55.45/16.43  											|-The branch is then unsatisfiable
% 55.45/16.43  										|-Branch two:
% 55.45/16.43  										| (1540)  ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0)
% 55.45/16.43  										|
% 55.45/16.43  											| Applying alpha-rule on (1540) yields:
% 55.45/16.43  											| (67)  ~ (all_0_14_14 = 0)
% 55.45/16.43  											| (475) p(all_0_15_15) = all_0_14_14
% 55.45/16.43  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 55.45/16.43  											|
% 55.45/16.43  											| Instantiating formula (5867) with all_0_14_14, all_0_15_15 and discharging atoms p(all_0_15_15) = all_0_14_14, yields:
% 55.45/16.43  											| (6381)  ? [v0] :  ? [v1] : (( ~ (all_0_14_14 = 0) | ( ~ (v1 = 0) & p(v0) = v1)) & (all_0_14_14 = 0 | (v1 = 0 & p(v0) = 0)))
% 55.45/16.43  											|
% 55.45/16.43  											| Instantiating (6381) with all_74_0_5436, all_74_1_5437 yields:
% 55.45/16.43  											| (9588) ( ~ (all_0_14_14 = 0) | ( ~ (all_74_0_5436 = 0) & p(all_74_1_5437) = all_74_0_5436)) & (all_0_14_14 = 0 | (all_74_0_5436 = 0 & p(all_74_1_5437) = 0))
% 55.45/16.43  											|
% 55.45/16.43  											| Applying alpha-rule on (9588) yields:
% 55.45/16.43  											| (9589)  ~ (all_0_14_14 = 0) | ( ~ (all_74_0_5436 = 0) & p(all_74_1_5437) = all_74_0_5436)
% 55.45/16.43  											| (9590) all_0_14_14 = 0 | (all_74_0_5436 = 0 & p(all_74_1_5437) = 0)
% 55.45/16.43  											|
% 55.45/16.43  											+-Applying beta-rule and splitting (1516), into two cases.
% 55.45/16.43  											|-Branch one:
% 55.45/16.43  											| (1525) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0
% 55.45/16.43  											|
% 55.45/16.43  												| Applying alpha-rule on (1525) yields:
% 55.45/16.43  												| (33) all_0_18_18 = 0
% 55.45/16.43  												| (34)  ~ (all_0_20_20 = 0)
% 55.45/16.43  												| (1528) q(all_0_21_21) = all_0_20_20
% 55.45/16.43  												| (1529) p(all_0_19_19) = 0
% 55.45/16.43  												|
% 55.45/16.43  												| Instantiating formula (9014) with all_0_20_20, all_0_21_21 and discharging atoms q(all_0_21_21) = all_0_20_20, yields:
% 55.45/16.43  												| (2979)  ~ (all_0_6_6 = 0) | all_0_20_20 = 0
% 55.45/16.43  												|
% 55.45/16.43  												+-Applying beta-rule and splitting (2979), into two cases.
% 55.45/16.43  												|-Branch one:
% 55.45/16.43  												| (2980)  ~ (all_0_6_6 = 0)
% 55.45/16.43  												|
% 55.45/16.43  													| Equations (54) can reduce 2980 to:
% 55.45/16.43  													| (59) $false
% 55.45/16.43  													|
% 55.45/16.43  													|-The branch is then unsatisfiable
% 55.45/16.43  												|-Branch two:
% 55.45/16.43  												| (54) all_0_6_6 = 0
% 55.45/16.43  												| (81) all_0_20_20 = 0
% 55.45/16.43  												|
% 55.45/16.43  													| Equations (81) can reduce 34 to:
% 55.45/16.43  													| (59) $false
% 55.45/16.43  													|
% 55.45/16.43  													|-The branch is then unsatisfiable
% 55.45/16.43  											|-Branch two:
% 55.45/16.43  											| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 55.45/16.43  											|
% 55.45/16.43  												| Applying alpha-rule on (76) yields:
% 55.45/16.43  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 55.45/16.43  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 55.45/16.43  												|
% 55.45/16.43  												+-Applying beta-rule and splitting (9590), into two cases.
% 55.45/16.43  												|-Branch one:
% 55.45/16.43  												| (74) all_0_14_14 = 0
% 55.45/16.43  												|
% 55.45/16.43  													| Equations (74) can reduce 67 to:
% 55.45/16.43  													| (59) $false
% 55.45/16.43  													|
% 55.45/16.43  													|-The branch is then unsatisfiable
% 55.45/16.43  												|-Branch two:
% 55.45/16.43  												| (67)  ~ (all_0_14_14 = 0)
% 55.45/16.43  												| (9608) all_74_0_5436 = 0 & p(all_74_1_5437) = 0
% 55.45/16.43  												|
% 55.45/16.43  													| Applying alpha-rule on (9608) yields:
% 55.45/16.43  													| (9609) all_74_0_5436 = 0
% 55.45/16.43  													| (9610) p(all_74_1_5437) = 0
% 55.45/16.43  													|
% 55.45/16.43  													| Instantiating formula (78) with all_74_1_5437 and discharging atoms p(all_74_1_5437) = 0, yields:
% 55.45/16.43  													| (79) $false
% 55.45/16.43  													|
% 55.45/16.43  													|-The branch is then unsatisfiable
% 55.45/16.43  									|-Branch two:
% 55.45/16.43  									| (42) all_0_16_16 = 0
% 55.45/16.43  									| (120) all_0_8_8 = 0
% 55.45/16.43  									|
% 55.45/16.43  										| Equations (120) can reduce 55 to:
% 55.45/16.43  										| (59) $false
% 55.45/16.43  										|
% 55.45/16.43  										|-The branch is then unsatisfiable
% 55.45/16.43  								|-Branch two:
% 55.45/16.43  								| (1545)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))
% 55.45/16.43  								|
% 55.45/16.43  									| Applying alpha-rule on (1545) yields:
% 55.45/16.43  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 55.45/16.43  									| (1547) (all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))
% 55.45/16.43  									|
% 55.45/16.43  									| Instantiating formula (84) with all_0_8_8, all_0_9_9 and discharging atoms s(all_0_9_9) = all_0_8_8, yields:
% 55.45/16.43  									| (9262)  ? [v0] :  ? [v1] : (( ~ (all_0_8_8 = 0) | ( ~ (v1 = 0) & s(v0) = v1)) & (all_0_8_8 = 0 | (v1 = 0 & s(v0) = 0)))
% 55.45/16.43  									|
% 55.45/16.43  									| Instantiating (9262) with all_56_0_5440, all_56_1_5441 yields:
% 55.45/16.43  									| (9619) ( ~ (all_0_8_8 = 0) | ( ~ (all_56_0_5440 = 0) & s(all_56_1_5441) = all_56_0_5440)) & (all_0_8_8 = 0 | (all_56_0_5440 = 0 & s(all_56_1_5441) = 0))
% 55.45/16.43  									|
% 55.45/16.43  									| Applying alpha-rule on (9619) yields:
% 55.45/16.43  									| (9620)  ~ (all_0_8_8 = 0) | ( ~ (all_56_0_5440 = 0) & s(all_56_1_5441) = all_56_0_5440)
% 55.45/16.43  									| (9621) all_0_8_8 = 0 | (all_56_0_5440 = 0 & s(all_56_1_5441) = 0)
% 55.45/16.43  									|
% 55.45/16.43  									+-Applying beta-rule and splitting (9621), into two cases.
% 55.45/16.43  									|-Branch one:
% 55.45/16.43  									| (120) all_0_8_8 = 0
% 55.45/16.43  									|
% 55.45/16.43  										| Equations (120) can reduce 55 to:
% 55.45/16.43  										| (59) $false
% 55.45/16.43  										|
% 55.45/16.43  										|-The branch is then unsatisfiable
% 55.45/16.43  									|-Branch two:
% 55.45/16.43  									| (55)  ~ (all_0_8_8 = 0)
% 55.45/16.43  									| (9625) all_56_0_5440 = 0 & s(all_56_1_5441) = 0
% 55.45/16.43  									|
% 55.45/16.43  										| Applying alpha-rule on (9625) yields:
% 55.45/16.43  										| (9626) all_56_0_5440 = 0
% 55.45/16.44  										| (9627) s(all_56_1_5441) = 0
% 55.45/16.44  										|
% 55.45/16.44  										+-Applying beta-rule and splitting (1510), into two cases.
% 55.45/16.44  										|-Branch one:
% 55.45/16.44  										| (1519) all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 55.45/16.44  										|
% 55.45/16.44  											| Applying alpha-rule on (1519) yields:
% 55.45/16.44  											| (74) all_0_14_14 = 0
% 55.45/16.44  											| (1521) s(all_0_15_15) = 0
% 55.45/16.44  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 55.45/16.44  											|
% 55.45/16.44  											+-Applying beta-rule and splitting (1547), into two cases.
% 55.45/16.44  											|-Branch one:
% 55.45/16.44  											| (1563) all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 55.45/16.44  											|
% 55.45/16.44  												| Applying alpha-rule on (1563) yields:
% 55.45/16.44  												| (81) all_0_20_20 = 0
% 55.45/16.44  												| (1565) p(all_0_21_21) = 0
% 55.45/16.44  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 55.45/16.44  												|
% 55.45/16.44  												| Instantiating formula (5867) with 0, all_0_21_21 and discharging atoms p(all_0_21_21) = 0, yields:
% 55.45/16.44  												| (5930)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & p(v0) = v1)
% 55.45/16.44  												|
% 55.45/16.44  												| Instantiating (5930) with all_105_0_5450, all_105_1_5451 yields:
% 55.45/16.44  												| (9637)  ~ (all_105_0_5450 = 0) & p(all_105_1_5451) = all_105_0_5450
% 55.45/16.44  												|
% 55.45/16.44  												| Applying alpha-rule on (9637) yields:
% 55.45/16.44  												| (9638)  ~ (all_105_0_5450 = 0)
% 55.45/16.44  												| (9639) p(all_105_1_5451) = all_105_0_5450
% 55.45/16.44  												|
% 55.45/16.44  												| Instantiating formula (61) with all_105_0_5450, all_105_1_5451 and discharging atoms p(all_105_1_5451) = all_105_0_5450, yields:
% 55.45/16.44  												| (9640) all_105_0_5450 = 0
% 55.45/16.44  												|
% 55.45/16.44  												| Equations (9640) can reduce 9638 to:
% 55.45/16.44  												| (59) $false
% 55.45/16.44  												|
% 55.45/16.44  												|-The branch is then unsatisfiable
% 55.45/16.44  											|-Branch two:
% 55.45/16.44  											| (1573)  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)
% 55.45/16.44  											|
% 55.45/16.44  												| Applying alpha-rule on (1573) yields:
% 55.45/16.44  												| (34)  ~ (all_0_20_20 = 0)
% 55.45/16.44  												| (1528) q(all_0_21_21) = all_0_20_20
% 55.45/16.44  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 55.45/16.44  												|
% 55.45/16.44  												| Instantiating formula (9014) with all_0_20_20, all_0_21_21 and discharging atoms q(all_0_21_21) = all_0_20_20, yields:
% 55.45/16.44  												| (2979)  ~ (all_0_6_6 = 0) | all_0_20_20 = 0
% 55.45/16.44  												|
% 55.45/16.44  												+-Applying beta-rule and splitting (2979), into two cases.
% 55.45/16.44  												|-Branch one:
% 55.45/16.44  												| (2980)  ~ (all_0_6_6 = 0)
% 55.45/16.44  												|
% 55.45/16.44  													| Equations (54) can reduce 2980 to:
% 55.45/16.44  													| (59) $false
% 55.45/16.44  													|
% 55.45/16.44  													|-The branch is then unsatisfiable
% 55.45/16.44  												|-Branch two:
% 55.45/16.44  												| (54) all_0_6_6 = 0
% 55.45/16.44  												| (81) all_0_20_20 = 0
% 55.45/16.44  												|
% 55.45/16.44  													| Equations (81) can reduce 34 to:
% 55.45/16.44  													| (59) $false
% 55.45/16.44  													|
% 55.45/16.44  													|-The branch is then unsatisfiable
% 55.45/16.44  										|-Branch two:
% 55.45/16.44  										| (1540)  ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0)
% 55.45/16.44  										|
% 55.45/16.44  											| Applying alpha-rule on (1540) yields:
% 55.45/16.44  											| (67)  ~ (all_0_14_14 = 0)
% 55.45/16.44  											| (475) p(all_0_15_15) = all_0_14_14
% 55.45/16.44  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 55.45/16.44  											|
% 55.45/16.44  											| Instantiating formula (62) with all_56_1_5441 and discharging atoms s(all_56_1_5441) = 0, yields:
% 55.45/16.44  											| (79) $false
% 55.45/16.44  											|
% 55.45/16.44  											|-The branch is then unsatisfiable
% 55.45/16.44  							|-Branch two:
% 55.45/16.44  							| (1583) ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))
% 55.45/16.44  							|
% 55.45/16.44  								| Applying alpha-rule on (1583) yields:
% 55.45/16.44  								| (1584) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))
% 55.45/16.44  								| (1585) (s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))
% 55.45/16.44  								|
% 55.45/16.44  								+-Applying beta-rule and splitting (1585), into two cases.
% 55.45/16.44  								|-Branch one:
% 55.45/16.44  								| (1586) s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))
% 55.45/16.44  								|
% 55.45/16.44  									| Applying alpha-rule on (1586) yields:
% 55.45/16.44  									| (1587) s(all_0_15_15) = all_0_14_14
% 55.45/16.44  									| (1588)  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 55.45/16.44  									| (1589)  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0))
% 55.45/16.44  									| (1590) (all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0))
% 55.45/16.44  									|
% 55.45/16.44  									| Instantiating formula (1588) with all_0_8_8, all_0_9_9 and discharging atoms s(all_0_9_9) = all_0_8_8, yields:
% 55.45/16.44  									| (9665)  ~ (all_0_14_14 = 0) | all_0_8_8 = 0
% 55.45/16.44  									|
% 55.45/16.44  									+-Applying beta-rule and splitting (9665), into two cases.
% 55.45/16.44  									|-Branch one:
% 55.45/16.44  									| (67)  ~ (all_0_14_14 = 0)
% 55.45/16.44  									|
% 55.45/16.44  										+-Applying beta-rule and splitting (1584), into two cases.
% 55.45/16.44  										|-Branch one:
% 55.45/16.44  										| (1593) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20
% 55.45/16.44  										|
% 55.45/16.44  											| Applying alpha-rule on (1593) yields:
% 55.45/16.44  											| (33) all_0_18_18 = 0
% 55.45/16.44  											| (34)  ~ (all_0_20_20 = 0)
% 55.45/16.44  											| (1596) s(all_0_19_19) = 0
% 55.45/16.44  											| (1597) p(all_0_21_21) = all_0_20_20
% 55.45/16.44  											|
% 55.45/16.44  											| Instantiating formula (1589) with all_0_19_19 and discharging atoms s(all_0_19_19) = 0, yields:
% 55.45/16.44  											| (74) all_0_14_14 = 0
% 55.45/16.44  											|
% 55.45/16.44  											| Equations (74) can reduce 67 to:
% 55.45/16.44  											| (59) $false
% 55.45/16.44  											|
% 55.45/16.44  											|-The branch is then unsatisfiable
% 55.45/16.44  										|-Branch two:
% 55.45/16.44  										| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 55.45/16.44  										|
% 55.45/16.44  											| Applying alpha-rule on (60) yields:
% 55.45/16.44  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 55.45/16.44  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 55.45/16.44  											|
% 55.45/16.44  											+-Applying beta-rule and splitting (1590), into two cases.
% 55.45/16.44  											|-Branch one:
% 55.45/16.44  											| (1599) all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 55.45/16.44  											|
% 55.45/16.44  												| Applying alpha-rule on (1599) yields:
% 55.45/16.44  												| (42) all_0_16_16 = 0
% 55.45/16.44  												| (1601) p(all_0_17_17) = 0
% 55.45/16.44  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 55.45/16.44  												|
% 55.45/16.44  												| Instantiating formula (5867) with 0, all_0_17_17 and discharging atoms p(all_0_17_17) = 0, yields:
% 55.45/16.44  												| (5930)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & p(v0) = v1)
% 55.45/16.44  												|
% 55.45/16.44  												| Instantiating (5930) with all_78_0_5456, all_78_1_5457 yields:
% 55.45/16.44  												| (9682)  ~ (all_78_0_5456 = 0) & p(all_78_1_5457) = all_78_0_5456
% 55.45/16.44  												|
% 55.45/16.44  												| Applying alpha-rule on (9682) yields:
% 55.45/16.44  												| (9683)  ~ (all_78_0_5456 = 0)
% 55.45/16.45  												| (9684) p(all_78_1_5457) = all_78_0_5456
% 55.45/16.45  												|
% 55.45/16.45  												| Instantiating formula (61) with all_78_0_5456, all_78_1_5457 and discharging atoms p(all_78_1_5457) = all_78_0_5456, yields:
% 55.45/16.45  												| (9685) all_78_0_5456 = 0
% 55.45/16.45  												|
% 55.45/16.45  												| Equations (9685) can reduce 9683 to:
% 55.45/16.45  												| (59) $false
% 55.45/16.45  												|
% 55.45/16.45  												|-The branch is then unsatisfiable
% 55.45/16.45  											|-Branch two:
% 55.45/16.45  											| (1609)  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)
% 55.45/16.45  											|
% 55.45/16.45  												| Applying alpha-rule on (1609) yields:
% 55.45/16.45  												| (71)  ~ (all_0_16_16 = 0)
% 55.45/16.45  												| (23) q(all_0_17_17) = all_0_16_16
% 55.45/16.45  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 55.45/16.45  												|
% 55.45/16.45  												| Instantiating formula (9014) with all_0_16_16, all_0_17_17 and discharging atoms q(all_0_17_17) = all_0_16_16, yields:
% 55.45/16.45  												| (9691)  ~ (all_0_6_6 = 0) | all_0_16_16 = 0
% 55.45/16.45  												|
% 55.45/16.45  												+-Applying beta-rule and splitting (9691), into two cases.
% 55.45/16.45  												|-Branch one:
% 55.45/16.45  												| (2980)  ~ (all_0_6_6 = 0)
% 55.45/16.45  												|
% 55.45/16.45  													| Equations (54) can reduce 2980 to:
% 55.45/16.45  													| (59) $false
% 55.45/16.45  													|
% 55.45/16.45  													|-The branch is then unsatisfiable
% 55.45/16.45  												|-Branch two:
% 55.45/16.45  												| (54) all_0_6_6 = 0
% 55.45/16.45  												| (42) all_0_16_16 = 0
% 55.45/16.45  												|
% 55.45/16.45  													| Equations (42) can reduce 71 to:
% 55.45/16.45  													| (59) $false
% 55.45/16.45  													|
% 55.45/16.45  													|-The branch is then unsatisfiable
% 55.45/16.45  									|-Branch two:
% 55.45/16.45  									| (74) all_0_14_14 = 0
% 55.45/16.45  									| (120) all_0_8_8 = 0
% 55.45/16.45  									|
% 55.45/16.45  										| Equations (120) can reduce 55 to:
% 55.45/16.45  										| (59) $false
% 55.45/16.45  										|
% 55.45/16.45  										|-The branch is then unsatisfiable
% 55.45/16.45  								|-Branch two:
% 55.45/16.45  								| (1623)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 55.45/16.45  								|
% 55.45/16.45  									| Applying alpha-rule on (1623) yields:
% 55.45/16.45  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 55.45/16.45  									| (1625) (all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 55.45/16.45  									|
% 55.45/16.45  									| Instantiating formula (84) with all_0_8_8, all_0_9_9 and discharging atoms s(all_0_9_9) = all_0_8_8, yields:
% 55.45/16.45  									| (9262)  ? [v0] :  ? [v1] : (( ~ (all_0_8_8 = 0) | ( ~ (v1 = 0) & s(v0) = v1)) & (all_0_8_8 = 0 | (v1 = 0 & s(v0) = 0)))
% 55.45/16.45  									|
% 55.45/16.45  									| Instantiating (9262) with all_56_0_5458, all_56_1_5459 yields:
% 55.45/16.45  									| (9704) ( ~ (all_0_8_8 = 0) | ( ~ (all_56_0_5458 = 0) & s(all_56_1_5459) = all_56_0_5458)) & (all_0_8_8 = 0 | (all_56_0_5458 = 0 & s(all_56_1_5459) = 0))
% 55.45/16.45  									|
% 55.45/16.45  									| Applying alpha-rule on (9704) yields:
% 55.45/16.45  									| (9705)  ~ (all_0_8_8 = 0) | ( ~ (all_56_0_5458 = 0) & s(all_56_1_5459) = all_56_0_5458)
% 55.45/16.45  									| (9706) all_0_8_8 = 0 | (all_56_0_5458 = 0 & s(all_56_1_5459) = 0)
% 55.45/16.45  									|
% 55.45/16.45  									+-Applying beta-rule and splitting (9706), into two cases.
% 55.45/16.45  									|-Branch one:
% 55.45/16.45  									| (120) all_0_8_8 = 0
% 55.45/16.45  									|
% 55.45/16.45  										| Equations (120) can reduce 55 to:
% 55.45/16.45  										| (59) $false
% 55.45/16.45  										|
% 55.45/16.45  										|-The branch is then unsatisfiable
% 55.45/16.45  									|-Branch two:
% 55.45/16.45  									| (55)  ~ (all_0_8_8 = 0)
% 55.45/16.45  									| (9710) all_56_0_5458 = 0 & s(all_56_1_5459) = 0
% 55.45/16.45  									|
% 55.45/16.45  										| Applying alpha-rule on (9710) yields:
% 55.45/16.45  										| (9711) all_56_0_5458 = 0
% 55.45/16.45  										| (9712) s(all_56_1_5459) = 0
% 55.45/16.45  										|
% 55.45/16.45  										+-Applying beta-rule and splitting (1584), into two cases.
% 55.45/16.45  										|-Branch one:
% 55.45/16.45  										| (1593) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20
% 55.45/16.45  										|
% 55.45/16.45  											| Applying alpha-rule on (1593) yields:
% 55.45/16.45  											| (33) all_0_18_18 = 0
% 55.45/16.45  											| (34)  ~ (all_0_20_20 = 0)
% 55.45/16.45  											| (1596) s(all_0_19_19) = 0
% 55.45/16.45  											| (1597) p(all_0_21_21) = all_0_20_20
% 55.45/16.45  											|
% 55.45/16.45  											| Instantiating formula (5867) with all_0_20_20, all_0_21_21 and discharging atoms p(all_0_21_21) = all_0_20_20, yields:
% 55.45/16.45  											| (7561)  ? [v0] :  ? [v1] : (( ~ (all_0_20_20 = 0) | ( ~ (v1 = 0) & p(v0) = v1)) & (all_0_20_20 = 0 | (v1 = 0 & p(v0) = 0)))
% 55.45/16.45  											|
% 55.45/16.45  											| Instantiating (7561) with all_84_0_5464, all_84_1_5465 yields:
% 55.45/16.45  											| (9719) ( ~ (all_0_20_20 = 0) | ( ~ (all_84_0_5464 = 0) & p(all_84_1_5465) = all_84_0_5464)) & (all_0_20_20 = 0 | (all_84_0_5464 = 0 & p(all_84_1_5465) = 0))
% 55.45/16.45  											|
% 55.45/16.45  											| Applying alpha-rule on (9719) yields:
% 55.45/16.45  											| (9720)  ~ (all_0_20_20 = 0) | ( ~ (all_84_0_5464 = 0) & p(all_84_1_5465) = all_84_0_5464)
% 55.45/16.45  											| (9721) all_0_20_20 = 0 | (all_84_0_5464 = 0 & p(all_84_1_5465) = 0)
% 55.45/16.45  											|
% 55.45/16.45  											+-Applying beta-rule and splitting (9721), into two cases.
% 55.45/16.45  											|-Branch one:
% 55.45/16.45  											| (81) all_0_20_20 = 0
% 55.45/16.45  											|
% 55.45/16.45  												| Equations (81) can reduce 34 to:
% 55.45/16.45  												| (59) $false
% 55.45/16.45  												|
% 55.45/16.45  												|-The branch is then unsatisfiable
% 55.45/16.45  											|-Branch two:
% 55.45/16.45  											| (34)  ~ (all_0_20_20 = 0)
% 55.45/16.45  											| (9725) all_84_0_5464 = 0 & p(all_84_1_5465) = 0
% 55.45/16.45  											|
% 55.45/16.45  												| Applying alpha-rule on (9725) yields:
% 55.45/16.45  												| (9726) all_84_0_5464 = 0
% 55.45/16.46  												| (9727) p(all_84_1_5465) = 0
% 55.45/16.46  												|
% 55.45/16.46  												+-Applying beta-rule and splitting (1625), into two cases.
% 55.45/16.46  												|-Branch one:
% 55.45/16.46  												| (1642) all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0
% 55.45/16.46  												|
% 55.45/16.46  													| Applying alpha-rule on (1642) yields:
% 55.45/16.46  													| (74) all_0_14_14 = 0
% 55.45/16.46  													| (71)  ~ (all_0_16_16 = 0)
% 55.45/16.46  													| (23) q(all_0_17_17) = all_0_16_16
% 55.45/16.46  													| (105) p(all_0_15_15) = 0
% 55.45/16.46  													|
% 55.45/16.46  													| Instantiating formula (9014) with all_0_16_16, all_0_17_17 and discharging atoms q(all_0_17_17) = all_0_16_16, yields:
% 55.45/16.46  													| (9691)  ~ (all_0_6_6 = 0) | all_0_16_16 = 0
% 55.45/16.46  													|
% 55.45/16.46  													+-Applying beta-rule and splitting (9691), into two cases.
% 55.45/16.46  													|-Branch one:
% 55.45/16.46  													| (2980)  ~ (all_0_6_6 = 0)
% 55.45/16.46  													|
% 55.45/16.46  														| Equations (54) can reduce 2980 to:
% 55.45/16.46  														| (59) $false
% 55.45/16.46  														|
% 55.45/16.46  														|-The branch is then unsatisfiable
% 55.45/16.46  													|-Branch two:
% 55.45/16.46  													| (54) all_0_6_6 = 0
% 55.45/16.46  													| (42) all_0_16_16 = 0
% 55.45/16.46  													|
% 55.45/16.46  														| Equations (42) can reduce 71 to:
% 55.45/16.46  														| (59) $false
% 55.45/16.46  														|
% 55.45/16.46  														|-The branch is then unsatisfiable
% 55.45/16.46  												|-Branch two:
% 55.45/16.46  												| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 55.45/16.46  												|
% 55.45/16.46  													| Applying alpha-rule on (76) yields:
% 55.45/16.46  													| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 55.45/16.46  													| (78)  ! [v0] :  ~ (p(v0) = 0)
% 55.45/16.46  													|
% 55.45/16.46  													| Instantiating formula (78) with all_84_1_5465 and discharging atoms p(all_84_1_5465) = 0, yields:
% 55.45/16.46  													| (79) $false
% 55.45/16.46  													|
% 55.45/16.46  													|-The branch is then unsatisfiable
% 55.45/16.46  										|-Branch two:
% 55.45/16.46  										| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 55.45/16.46  										|
% 55.45/16.46  											| Applying alpha-rule on (60) yields:
% 55.45/16.46  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 55.45/16.46  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 55.45/16.46  											|
% 55.45/16.46  											| Instantiating formula (62) with all_56_1_5459 and discharging atoms s(all_56_1_5459) = 0, yields:
% 55.45/16.46  											| (79) $false
% 55.45/16.46  											|
% 55.45/16.46  											|-The branch is then unsatisfiable
% 55.45/16.46  						|-Branch two:
% 55.45/16.46  						| (9194)  ~ (all_0_4_4 = 0) & r(all_0_5_5) = all_0_4_4 &  ! [v0] :  ~ (q(v0) = 0)
% 55.45/16.46  						|
% 55.45/16.46  							| Applying alpha-rule on (9194) yields:
% 55.45/16.46  							| (214)  ~ (all_0_4_4 = 0)
% 55.45/16.46  							| (28) r(all_0_5_5) = all_0_4_4
% 55.45/16.46  							| (212)  ! [v0] :  ~ (q(v0) = 0)
% 55.45/16.46  							|
% 55.45/16.46  							| Instantiating formula (370) with all_0_4_4, all_0_5_5 and discharging atoms r(all_0_5_5) = all_0_4_4, yields:
% 55.45/16.46  							| (9751)  ? [v0] :  ? [v1] : (( ~ (all_0_4_4 = 0) | ( ~ (v1 = 0) & r(v0) = v1)) & (all_0_4_4 = 0 | (v1 = 0 & r(v0) = 0)))
% 55.45/16.46  							|
% 55.45/16.46  							| Instantiating (9751) with all_49_0_5502, all_49_1_5503 yields:
% 55.45/16.46  							| (9752) ( ~ (all_0_4_4 = 0) | ( ~ (all_49_0_5502 = 0) & r(all_49_1_5503) = all_49_0_5502)) & (all_0_4_4 = 0 | (all_49_0_5502 = 0 & r(all_49_1_5503) = 0))
% 55.45/16.46  							|
% 55.45/16.46  							| Applying alpha-rule on (9752) yields:
% 55.45/16.46  							| (9753)  ~ (all_0_4_4 = 0) | ( ~ (all_49_0_5502 = 0) & r(all_49_1_5503) = all_49_0_5502)
% 55.45/16.46  							| (9754) all_0_4_4 = 0 | (all_49_0_5502 = 0 & r(all_49_1_5503) = 0)
% 55.45/16.46  							|
% 55.45/16.46  							+-Applying beta-rule and splitting (9754), into two cases.
% 55.45/16.46  							|-Branch one:
% 55.45/16.46  							| (37) all_0_4_4 = 0
% 55.45/16.46  							|
% 55.45/16.46  								| Equations (37) can reduce 214 to:
% 55.45/16.46  								| (59) $false
% 55.45/16.46  								|
% 55.45/16.46  								|-The branch is then unsatisfiable
% 55.45/16.46  							|-Branch two:
% 55.45/16.46  							| (214)  ~ (all_0_4_4 = 0)
% 55.45/16.46  							| (9758) all_49_0_5502 = 0 & r(all_49_1_5503) = 0
% 55.45/16.46  							|
% 55.45/16.46  								| Applying alpha-rule on (9758) yields:
% 55.45/16.46  								| (9759) all_49_0_5502 = 0
% 55.45/16.46  								| (9760) r(all_49_1_5503) = 0
% 55.45/16.46  								|
% 55.45/16.46  								| Instantiating formula (221) with all_49_1_5503 and discharging atoms r(all_49_1_5503) = 0, yields:
% 55.45/16.46  								| (79) $false
% 55.45/16.46  								|
% 55.45/16.46  								|-The branch is then unsatisfiable
% 55.45/16.46  			|-Branch two:
% 55.45/16.46  			| (9762)  ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_9_9) = all_0_8_8 & r(all_0_7_7) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))
% 55.45/16.46  			|
% 55.45/16.46  				| Applying alpha-rule on (9762) yields:
% 55.45/16.46  				| (717)  ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0))))
% 55.45/16.46  				| (9764) (all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_9_9) = all_0_8_8 & r(all_0_7_7) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0))
% 55.45/16.46  				|
% 55.45/16.47  				+-Applying beta-rule and splitting (9010), into two cases.
% 55.45/16.47  				|-Branch one:
% 55.45/16.47  				| (9017) r(all_0_11_11) = all_0_10_10 &  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_10_10 = 0 |  ~ (r(v0) = 0)) & ((((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))
% 55.45/16.47  				|
% 55.45/16.47  					| Applying alpha-rule on (9017) yields:
% 55.45/16.47  					| (9018) r(all_0_11_11) = all_0_10_10
% 55.45/16.47  					| (9019)  ! [v0] :  ! [v1] : ( ~ (all_0_10_10 = 0) | v1 = 0 |  ~ (r(v0) = v1))
% 55.45/16.47  					| (9020)  ! [v0] : (all_0_10_10 = 0 |  ~ (r(v0) = 0))
% 55.45/16.47  					| (1838) (((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))
% 55.45/16.47  					|
% 55.45/16.47  					+-Applying beta-rule and splitting (9764), into two cases.
% 55.45/16.47  					|-Branch one:
% 55.45/16.47  					| (9770) all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_9_9) = all_0_8_8 & r(all_0_7_7) = 0
% 55.45/16.47  					|
% 55.45/16.47  						| Applying alpha-rule on (9770) yields:
% 55.45/16.47  						| (54) all_0_6_6 = 0
% 55.45/16.47  						| (55)  ~ (all_0_8_8 = 0)
% 55.45/16.47  						| (478) s(all_0_9_9) = all_0_8_8
% 55.45/16.47  						| (3304) r(all_0_7_7) = 0
% 55.45/16.47  						|
% 55.45/16.47  						| Instantiating formula (9020) with all_0_7_7 and discharging atoms r(all_0_7_7) = 0, yields:
% 55.45/16.47  						| (58) all_0_10_10 = 0
% 55.45/16.47  						|
% 55.45/16.47  						+-Applying beta-rule and splitting (9007), into two cases.
% 55.45/16.47  						|-Branch one:
% 55.45/16.47  						| (9027) all_0_4_4 = 0 & q(all_0_5_5) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 55.45/16.47  						|
% 55.45/16.47  							| Applying alpha-rule on (9027) yields:
% 55.45/16.47  							| (37) all_0_4_4 = 0
% 55.45/16.47  							| (9029) q(all_0_5_5) = 0
% 55.45/16.47  							| (41)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 55.45/16.47  							|
% 55.45/16.47  							| Instantiating formula (717) with 0, all_0_5_5 and discharging atoms q(all_0_5_5) = 0, yields:
% 55.45/16.47  							| (733)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & q(v0) = v1)
% 55.45/16.47  							|
% 55.45/16.47  							| Instantiating (733) with all_52_0_5504, all_52_1_5505 yields:
% 55.45/16.47  							| (9781)  ~ (all_52_0_5504 = 0) & q(all_52_1_5505) = all_52_0_5504
% 55.45/16.47  							|
% 55.45/16.47  							| Applying alpha-rule on (9781) yields:
% 55.45/16.47  							| (9782)  ~ (all_52_0_5504 = 0)
% 55.45/16.47  							| (9783) q(all_52_1_5505) = all_52_0_5504
% 55.45/16.47  							|
% 55.45/16.47  							| Instantiating formula (717) with all_52_0_5504, all_52_1_5505 and discharging atoms q(all_52_1_5505) = all_52_0_5504, yields:
% 55.45/16.47  							| (9784)  ? [v0] :  ? [v1] : (( ~ (all_52_0_5504 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_52_0_5504 = 0 | (v1 = 0 & q(v0) = 0)))
% 55.45/16.47  							|
% 55.45/16.47  							| Instantiating (9784) with all_59_0_5506, all_59_1_5507 yields:
% 55.45/16.47  							| (9785) ( ~ (all_52_0_5504 = 0) | ( ~ (all_59_0_5506 = 0) & q(all_59_1_5507) = all_59_0_5506)) & (all_52_0_5504 = 0 | (all_59_0_5506 = 0 & q(all_59_1_5507) = 0))
% 55.45/16.47  							|
% 55.45/16.47  							| Applying alpha-rule on (9785) yields:
% 55.45/16.47  							| (9786)  ~ (all_52_0_5504 = 0) | ( ~ (all_59_0_5506 = 0) & q(all_59_1_5507) = all_59_0_5506)
% 55.45/16.47  							| (9787) all_52_0_5504 = 0 | (all_59_0_5506 = 0 & q(all_59_1_5507) = 0)
% 55.45/16.47  							|
% 55.45/16.47  							+-Applying beta-rule and splitting (1838), into two cases.
% 55.45/16.47  							|-Branch one:
% 55.45/16.47  							| (1857) ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))
% 55.45/16.47  							|
% 55.45/16.47  								| Applying alpha-rule on (1857) yields:
% 55.45/16.47  								| (469) (all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))
% 55.45/16.47  								| (1511) (s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))))
% 55.45/16.48  								|
% 55.45/16.48  								+-Applying beta-rule and splitting (1511), into two cases.
% 55.45/16.48  								|-Branch one:
% 55.45/16.48  								| (1512) s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 55.45/16.48  								|
% 55.45/16.48  									| Applying alpha-rule on (1512) yields:
% 55.45/16.48  									| (1513) s(all_0_17_17) = all_0_16_16
% 55.45/16.48  									| (1514)  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 55.45/16.48  									| (1515)  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0))
% 55.45/16.48  									| (1516) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 55.45/16.48  									|
% 55.45/16.48  									| Instantiating formula (1514) with all_0_8_8, all_0_9_9 and discharging atoms s(all_0_9_9) = all_0_8_8, yields:
% 55.45/16.48  									| (9227)  ~ (all_0_16_16 = 0) | all_0_8_8 = 0
% 55.45/16.48  									|
% 55.45/16.48  									+-Applying beta-rule and splitting (9787), into two cases.
% 55.45/16.48  									|-Branch one:
% 55.45/16.48  									| (9797) all_52_0_5504 = 0
% 55.45/16.48  									|
% 55.45/16.48  										| Equations (9797) can reduce 9782 to:
% 55.45/16.48  										| (59) $false
% 55.45/16.48  										|
% 55.45/16.48  										|-The branch is then unsatisfiable
% 55.45/16.48  									|-Branch two:
% 55.45/16.48  									| (9782)  ~ (all_52_0_5504 = 0)
% 55.45/16.48  									| (9800) all_59_0_5506 = 0 & q(all_59_1_5507) = 0
% 55.45/16.48  									|
% 55.45/16.48  										+-Applying beta-rule and splitting (9227), into two cases.
% 55.45/16.48  										|-Branch one:
% 55.45/16.48  										| (71)  ~ (all_0_16_16 = 0)
% 55.45/16.48  										|
% 55.45/16.48  											+-Applying beta-rule and splitting (469), into two cases.
% 55.45/16.48  											|-Branch one:
% 55.45/16.48  											| (471) all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14
% 55.45/16.48  											|
% 55.45/16.48  												| Applying alpha-rule on (471) yields:
% 55.45/16.48  												| (66) all_0_12_12 = 0
% 55.45/16.48  												| (67)  ~ (all_0_14_14 = 0)
% 55.45/16.48  												| (310) s(all_0_13_13) = 0
% 55.45/16.48  												| (475) p(all_0_15_15) = all_0_14_14
% 55.45/16.48  												|
% 55.45/16.48  												| Instantiating formula (1515) with all_0_13_13 and discharging atoms s(all_0_13_13) = 0, yields:
% 55.45/16.48  												| (42) all_0_16_16 = 0
% 55.45/16.48  												|
% 55.45/16.48  												| Equations (42) can reduce 71 to:
% 55.45/16.48  												| (59) $false
% 55.45/16.48  												|
% 55.45/16.48  												|-The branch is then unsatisfiable
% 55.45/16.48  											|-Branch two:
% 55.45/16.48  											| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 55.45/16.48  											|
% 55.45/16.48  												| Applying alpha-rule on (60) yields:
% 55.45/16.48  												| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 55.45/16.48  												| (62)  ! [v0] :  ~ (s(v0) = 0)
% 55.45/16.48  												|
% 55.45/16.48  												+-Applying beta-rule and splitting (1516), into two cases.
% 55.45/16.48  												|-Branch one:
% 55.45/16.48  												| (1525) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0
% 55.45/16.48  												|
% 55.45/16.48  													| Applying alpha-rule on (1525) yields:
% 55.45/16.48  													| (33) all_0_18_18 = 0
% 55.45/16.48  													| (34)  ~ (all_0_20_20 = 0)
% 55.45/16.48  													| (1528) q(all_0_21_21) = all_0_20_20
% 55.45/16.48  													| (1529) p(all_0_19_19) = 0
% 55.45/16.48  													|
% 55.45/16.48  													| Instantiating formula (5867) with 0, all_0_19_19 and discharging atoms p(all_0_19_19) = 0, yields:
% 55.45/16.48  													| (5930)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & p(v0) = v1)
% 55.45/16.48  													|
% 55.45/16.48  													| Instantiating (5930) with all_100_0_5512, all_100_1_5513 yields:
% 55.45/16.48  													| (9818)  ~ (all_100_0_5512 = 0) & p(all_100_1_5513) = all_100_0_5512
% 55.45/16.48  													|
% 55.66/16.48  													| Applying alpha-rule on (9818) yields:
% 55.66/16.48  													| (9819)  ~ (all_100_0_5512 = 0)
% 55.66/16.48  													| (9820) p(all_100_1_5513) = all_100_0_5512
% 55.66/16.48  													|
% 55.66/16.48  													| Instantiating formula (61) with all_100_0_5512, all_100_1_5513 and discharging atoms p(all_100_1_5513) = all_100_0_5512, yields:
% 55.66/16.48  													| (9821) all_100_0_5512 = 0
% 55.66/16.48  													|
% 55.66/16.48  													| Equations (9821) can reduce 9819 to:
% 55.66/16.48  													| (59) $false
% 55.66/16.48  													|
% 55.66/16.48  													|-The branch is then unsatisfiable
% 55.66/16.48  												|-Branch two:
% 55.66/16.48  												| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 55.66/16.48  												|
% 55.66/16.48  													| Applying alpha-rule on (76) yields:
% 55.66/16.48  													| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 55.66/16.48  													| (78)  ! [v0] :  ~ (p(v0) = 0)
% 55.66/16.48  													|
% 55.66/16.48  													| Instantiating formula (77) with all_52_0_5504, all_52_1_5505 and discharging atoms q(all_52_1_5505) = all_52_0_5504, yields:
% 55.66/16.48  													| (9797) all_52_0_5504 = 0
% 55.66/16.48  													|
% 55.66/16.48  													| Equations (9797) can reduce 9782 to:
% 55.66/16.48  													| (59) $false
% 55.66/16.48  													|
% 55.66/16.48  													|-The branch is then unsatisfiable
% 55.66/16.48  										|-Branch two:
% 55.66/16.48  										| (42) all_0_16_16 = 0
% 55.66/16.48  										| (120) all_0_8_8 = 0
% 55.66/16.48  										|
% 55.66/16.48  											| Equations (120) can reduce 55 to:
% 55.66/16.48  											| (59) $false
% 55.66/16.48  											|
% 55.66/16.48  											|-The branch is then unsatisfiable
% 55.66/16.48  								|-Branch two:
% 55.66/16.48  								| (1545)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))
% 55.66/16.48  								|
% 55.66/16.48  									| Applying alpha-rule on (1545) yields:
% 55.66/16.48  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 55.66/16.48  									| (1547) (all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))
% 55.66/16.48  									|
% 55.66/16.48  									| Instantiating formula (84) with all_0_8_8, all_0_9_9 and discharging atoms s(all_0_9_9) = all_0_8_8, yields:
% 55.66/16.48  									| (9262)  ? [v0] :  ? [v1] : (( ~ (all_0_8_8 = 0) | ( ~ (v1 = 0) & s(v0) = v1)) & (all_0_8_8 = 0 | (v1 = 0 & s(v0) = 0)))
% 55.66/16.48  									|
% 55.66/16.48  									| Instantiating (9262) with all_63_0_5518, all_63_1_5519 yields:
% 55.66/16.48  									| (9835) ( ~ (all_0_8_8 = 0) | ( ~ (all_63_0_5518 = 0) & s(all_63_1_5519) = all_63_0_5518)) & (all_0_8_8 = 0 | (all_63_0_5518 = 0 & s(all_63_1_5519) = 0))
% 55.66/16.48  									|
% 55.66/16.48  									| Applying alpha-rule on (9835) yields:
% 55.66/16.49  									| (9836)  ~ (all_0_8_8 = 0) | ( ~ (all_63_0_5518 = 0) & s(all_63_1_5519) = all_63_0_5518)
% 55.66/16.49  									| (9837) all_0_8_8 = 0 | (all_63_0_5518 = 0 & s(all_63_1_5519) = 0)
% 55.66/16.49  									|
% 55.66/16.49  									+-Applying beta-rule and splitting (9837), into two cases.
% 55.66/16.49  									|-Branch one:
% 55.66/16.49  									| (120) all_0_8_8 = 0
% 55.66/16.49  									|
% 55.66/16.49  										| Equations (120) can reduce 55 to:
% 55.66/16.49  										| (59) $false
% 55.66/16.49  										|
% 55.66/16.49  										|-The branch is then unsatisfiable
% 55.66/16.49  									|-Branch two:
% 55.66/16.49  									| (55)  ~ (all_0_8_8 = 0)
% 55.66/16.49  									| (9841) all_63_0_5518 = 0 & s(all_63_1_5519) = 0
% 55.66/16.49  									|
% 55.66/16.49  										| Applying alpha-rule on (9841) yields:
% 55.66/16.49  										| (9842) all_63_0_5518 = 0
% 55.66/16.49  										| (9843) s(all_63_1_5519) = 0
% 55.66/16.49  										|
% 55.66/16.49  										+-Applying beta-rule and splitting (9787), into two cases.
% 55.66/16.49  										|-Branch one:
% 55.66/16.49  										| (9797) all_52_0_5504 = 0
% 55.66/16.49  										|
% 55.66/16.49  											| Equations (9797) can reduce 9782 to:
% 55.66/16.49  											| (59) $false
% 55.66/16.49  											|
% 55.66/16.49  											|-The branch is then unsatisfiable
% 55.66/16.49  										|-Branch two:
% 55.66/16.49  										| (9782)  ~ (all_52_0_5504 = 0)
% 55.66/16.49  										| (9800) all_59_0_5506 = 0 & q(all_59_1_5507) = 0
% 55.66/16.49  										|
% 55.66/16.49  											+-Applying beta-rule and splitting (469), into two cases.
% 55.66/16.49  											|-Branch one:
% 55.66/16.49  											| (471) all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14
% 55.66/16.49  											|
% 55.66/16.49  												| Applying alpha-rule on (471) yields:
% 55.66/16.49  												| (66) all_0_12_12 = 0
% 55.66/16.49  												| (67)  ~ (all_0_14_14 = 0)
% 55.66/16.49  												| (310) s(all_0_13_13) = 0
% 55.66/16.49  												| (475) p(all_0_15_15) = all_0_14_14
% 55.66/16.49  												|
% 55.66/16.49  												| Instantiating formula (5867) with all_0_14_14, all_0_15_15 and discharging atoms p(all_0_15_15) = all_0_14_14, yields:
% 55.66/16.49  												| (6381)  ? [v0] :  ? [v1] : (( ~ (all_0_14_14 = 0) | ( ~ (v1 = 0) & p(v0) = v1)) & (all_0_14_14 = 0 | (v1 = 0 & p(v0) = 0)))
% 55.66/16.49  												|
% 55.66/16.49  												| Instantiating (6381) with all_102_0_5528, all_102_1_5529 yields:
% 55.66/16.49  												| (9854) ( ~ (all_0_14_14 = 0) | ( ~ (all_102_0_5528 = 0) & p(all_102_1_5529) = all_102_0_5528)) & (all_0_14_14 = 0 | (all_102_0_5528 = 0 & p(all_102_1_5529) = 0))
% 55.66/16.49  												|
% 55.66/16.49  												| Applying alpha-rule on (9854) yields:
% 55.66/16.49  												| (9855)  ~ (all_0_14_14 = 0) | ( ~ (all_102_0_5528 = 0) & p(all_102_1_5529) = all_102_0_5528)
% 55.66/16.49  												| (9856) all_0_14_14 = 0 | (all_102_0_5528 = 0 & p(all_102_1_5529) = 0)
% 55.66/16.49  												|
% 55.66/16.49  												+-Applying beta-rule and splitting (9856), into two cases.
% 55.66/16.49  												|-Branch one:
% 55.66/16.49  												| (74) all_0_14_14 = 0
% 55.66/16.49  												|
% 55.66/16.49  													| Equations (74) can reduce 67 to:
% 55.66/16.49  													| (59) $false
% 55.66/16.49  													|
% 55.66/16.49  													|-The branch is then unsatisfiable
% 55.66/16.49  												|-Branch two:
% 55.66/16.49  												| (67)  ~ (all_0_14_14 = 0)
% 55.66/16.49  												| (9860) all_102_0_5528 = 0 & p(all_102_1_5529) = 0
% 55.66/16.49  												|
% 55.66/16.49  													| Applying alpha-rule on (9860) yields:
% 55.66/16.49  													| (9861) all_102_0_5528 = 0
% 55.66/16.49  													| (9862) p(all_102_1_5529) = 0
% 55.66/16.49  													|
% 55.66/16.49  													+-Applying beta-rule and splitting (1547), into two cases.
% 55.66/16.49  													|-Branch one:
% 55.66/16.49  													| (1563) all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 55.66/16.49  													|
% 55.66/16.49  														| Applying alpha-rule on (1563) yields:
% 55.66/16.49  														| (81) all_0_20_20 = 0
% 55.66/16.49  														| (1565) p(all_0_21_21) = 0
% 55.66/16.49  														| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 55.66/16.49  														|
% 55.66/16.49  														| Instantiating formula (77) with all_52_0_5504, all_52_1_5505 and discharging atoms q(all_52_1_5505) = all_52_0_5504, yields:
% 55.66/16.49  														| (9797) all_52_0_5504 = 0
% 55.66/16.49  														|
% 55.66/16.49  														| Equations (9797) can reduce 9782 to:
% 55.66/16.49  														| (59) $false
% 55.66/16.49  														|
% 55.66/16.49  														|-The branch is then unsatisfiable
% 55.66/16.49  													|-Branch two:
% 55.66/16.49  													| (1573)  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)
% 55.66/16.49  													|
% 55.66/16.49  														| Applying alpha-rule on (1573) yields:
% 55.66/16.49  														| (34)  ~ (all_0_20_20 = 0)
% 55.66/16.49  														| (1528) q(all_0_21_21) = all_0_20_20
% 55.66/16.49  														| (78)  ! [v0] :  ~ (p(v0) = 0)
% 55.66/16.49  														|
% 55.66/16.49  														| Instantiating formula (78) with all_102_1_5529 and discharging atoms p(all_102_1_5529) = 0, yields:
% 55.66/16.49  														| (79) $false
% 55.66/16.49  														|
% 55.66/16.49  														|-The branch is then unsatisfiable
% 55.66/16.49  											|-Branch two:
% 55.66/16.49  											| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 55.66/16.49  											|
% 55.66/16.49  												| Applying alpha-rule on (60) yields:
% 55.66/16.49  												| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 55.66/16.49  												| (62)  ! [v0] :  ~ (s(v0) = 0)
% 55.66/16.49  												|
% 55.66/16.49  												| Instantiating formula (62) with all_63_1_5519 and discharging atoms s(all_63_1_5519) = 0, yields:
% 55.66/16.49  												| (79) $false
% 55.66/16.49  												|
% 55.66/16.49  												|-The branch is then unsatisfiable
% 55.66/16.50  							|-Branch two:
% 55.66/16.50  							| (1925) ((all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))
% 55.66/16.50  							|
% 55.66/16.50  								| Applying alpha-rule on (1925) yields:
% 55.66/16.50  								| (1926) (all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))
% 55.66/16.50  								| (1927) (s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))
% 55.66/16.50  								|
% 55.66/16.50  								+-Applying beta-rule and splitting (1927), into two cases.
% 55.66/16.50  								|-Branch one:
% 55.66/16.50  								| (1934) s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))
% 55.66/16.50  								|
% 55.66/16.50  									| Applying alpha-rule on (1934) yields:
% 55.66/16.50  									| (1935) s(all_0_19_19) = all_0_18_18
% 55.66/16.50  									| (1936)  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 55.66/16.50  									| (1937)  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0))
% 55.66/16.50  									| (1547) (all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))
% 55.66/16.50  									|
% 55.66/16.50  									| Instantiating formula (1936) with all_0_8_8, all_0_9_9 and discharging atoms s(all_0_9_9) = all_0_8_8, yields:
% 55.66/16.50  									| (9311)  ~ (all_0_18_18 = 0) | all_0_8_8 = 0
% 55.66/16.50  									|
% 55.66/16.50  									+-Applying beta-rule and splitting (9787), into two cases.
% 55.66/16.50  									|-Branch one:
% 55.66/16.50  									| (9797) all_52_0_5504 = 0
% 55.66/16.50  									|
% 55.66/16.50  										| Equations (9797) can reduce 9782 to:
% 55.66/16.50  										| (59) $false
% 55.66/16.50  										|
% 55.66/16.50  										|-The branch is then unsatisfiable
% 55.66/16.50  									|-Branch two:
% 55.66/16.50  									| (9782)  ~ (all_52_0_5504 = 0)
% 55.66/16.50  									| (9800) all_59_0_5506 = 0 & q(all_59_1_5507) = 0
% 55.66/16.50  									|
% 55.66/16.50  										+-Applying beta-rule and splitting (9311), into two cases.
% 55.66/16.50  										|-Branch one:
% 55.66/16.50  										| (2094)  ~ (all_0_18_18 = 0)
% 55.66/16.50  										|
% 55.66/16.50  											+-Applying beta-rule and splitting (1926), into two cases.
% 55.66/16.50  											|-Branch one:
% 55.66/16.50  											| (1928) all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 55.66/16.50  											|
% 55.66/16.50  												| Applying alpha-rule on (1928) yields:
% 55.66/16.50  												| (42) all_0_16_16 = 0
% 55.66/16.50  												| (1518) s(all_0_17_17) = 0
% 55.66/16.50  												| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 55.66/16.50  												|
% 55.66/16.50  												| Instantiating formula (1937) with all_0_17_17 and discharging atoms s(all_0_17_17) = 0, yields:
% 55.66/16.50  												| (33) all_0_18_18 = 0
% 55.66/16.50  												|
% 55.66/16.50  												| Equations (33) can reduce 2094 to:
% 55.66/16.50  												| (59) $false
% 55.66/16.50  												|
% 55.66/16.50  												|-The branch is then unsatisfiable
% 55.66/16.50  											|-Branch two:
% 55.66/16.50  											| (1960)  ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0)
% 55.66/16.50  											|
% 55.66/16.50  												| Applying alpha-rule on (1960) yields:
% 55.66/16.50  												| (71)  ~ (all_0_16_16 = 0)
% 55.66/16.50  												| (1962) p(all_0_17_17) = all_0_16_16
% 55.66/16.50  												| (62)  ! [v0] :  ~ (s(v0) = 0)
% 55.66/16.50  												|
% 55.66/16.50  												| Instantiating formula (5867) with all_0_16_16, all_0_17_17 and discharging atoms p(all_0_17_17) = all_0_16_16, yields:
% 55.66/16.50  												| (7971)  ? [v0] :  ? [v1] : (( ~ (all_0_16_16 = 0) | ( ~ (v1 = 0) & p(v0) = v1)) & (all_0_16_16 = 0 | (v1 = 0 & p(v0) = 0)))
% 55.66/16.50  												|
% 55.66/16.50  												| Instantiating (7971) with all_97_0_5562, all_97_1_5563 yields:
% 55.66/16.50  												| (9903) ( ~ (all_0_16_16 = 0) | ( ~ (all_97_0_5562 = 0) & p(all_97_1_5563) = all_97_0_5562)) & (all_0_16_16 = 0 | (all_97_0_5562 = 0 & p(all_97_1_5563) = 0))
% 55.66/16.50  												|
% 55.66/16.50  												| Applying alpha-rule on (9903) yields:
% 55.66/16.50  												| (9904)  ~ (all_0_16_16 = 0) | ( ~ (all_97_0_5562 = 0) & p(all_97_1_5563) = all_97_0_5562)
% 55.66/16.50  												| (9905) all_0_16_16 = 0 | (all_97_0_5562 = 0 & p(all_97_1_5563) = 0)
% 55.66/16.50  												|
% 55.66/16.50  												+-Applying beta-rule and splitting (9905), into two cases.
% 55.66/16.50  												|-Branch one:
% 55.66/16.50  												| (42) all_0_16_16 = 0
% 55.66/16.50  												|
% 55.66/16.50  													| Equations (42) can reduce 71 to:
% 55.66/16.50  													| (59) $false
% 55.66/16.50  													|
% 55.66/16.50  													|-The branch is then unsatisfiable
% 55.66/16.50  												|-Branch two:
% 55.66/16.50  												| (71)  ~ (all_0_16_16 = 0)
% 55.66/16.50  												| (9909) all_97_0_5562 = 0 & p(all_97_1_5563) = 0
% 55.66/16.50  												|
% 55.66/16.50  													| Applying alpha-rule on (9909) yields:
% 55.66/16.50  													| (9910) all_97_0_5562 = 0
% 55.66/16.50  													| (9911) p(all_97_1_5563) = 0
% 55.66/16.50  													|
% 55.66/16.50  													+-Applying beta-rule and splitting (1547), into two cases.
% 55.66/16.50  													|-Branch one:
% 55.66/16.50  													| (1563) all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 55.66/16.50  													|
% 55.66/16.50  														| Applying alpha-rule on (1563) yields:
% 55.66/16.50  														| (81) all_0_20_20 = 0
% 55.66/16.50  														| (1565) p(all_0_21_21) = 0
% 55.66/16.50  														| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 55.66/16.50  														|
% 55.66/16.50  														| Instantiating formula (77) with all_52_0_5504, all_52_1_5505 and discharging atoms q(all_52_1_5505) = all_52_0_5504, yields:
% 55.66/16.50  														| (9797) all_52_0_5504 = 0
% 55.66/16.50  														|
% 55.66/16.50  														| Equations (9797) can reduce 9782 to:
% 55.66/16.50  														| (59) $false
% 55.66/16.50  														|
% 55.66/16.50  														|-The branch is then unsatisfiable
% 55.66/16.50  													|-Branch two:
% 55.66/16.50  													| (1573)  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)
% 55.66/16.50  													|
% 55.66/16.50  														| Applying alpha-rule on (1573) yields:
% 55.66/16.50  														| (34)  ~ (all_0_20_20 = 0)
% 55.66/16.50  														| (1528) q(all_0_21_21) = all_0_20_20
% 55.66/16.50  														| (78)  ! [v0] :  ~ (p(v0) = 0)
% 55.66/16.50  														|
% 55.66/16.50  														| Instantiating formula (78) with all_97_1_5563 and discharging atoms p(all_97_1_5563) = 0, yields:
% 55.66/16.51  														| (79) $false
% 55.66/16.51  														|
% 55.66/16.51  														|-The branch is then unsatisfiable
% 55.66/16.51  										|-Branch two:
% 55.66/16.51  										| (33) all_0_18_18 = 0
% 55.66/16.51  										| (120) all_0_8_8 = 0
% 55.66/16.51  										|
% 55.66/16.51  											| Equations (120) can reduce 55 to:
% 55.66/16.51  											| (59) $false
% 55.66/16.51  											|
% 55.66/16.51  											|-The branch is then unsatisfiable
% 55.66/16.51  								|-Branch two:
% 55.66/16.51  								| (1951)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 55.66/16.51  								|
% 55.66/16.51  									| Applying alpha-rule on (1951) yields:
% 55.66/16.51  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 55.66/16.51  									| (1516) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 55.66/16.51  									|
% 55.66/16.51  									| Instantiating formula (84) with all_0_8_8, all_0_9_9 and discharging atoms s(all_0_9_9) = all_0_8_8, yields:
% 55.66/16.51  									| (9262)  ? [v0] :  ? [v1] : (( ~ (all_0_8_8 = 0) | ( ~ (v1 = 0) & s(v0) = v1)) & (all_0_8_8 = 0 | (v1 = 0 & s(v0) = 0)))
% 55.66/16.51  									|
% 55.66/16.51  									| Instantiating (9262) with all_63_0_5590, all_63_1_5591 yields:
% 55.66/16.51  									| (9930) ( ~ (all_0_8_8 = 0) | ( ~ (all_63_0_5590 = 0) & s(all_63_1_5591) = all_63_0_5590)) & (all_0_8_8 = 0 | (all_63_0_5590 = 0 & s(all_63_1_5591) = 0))
% 55.66/16.51  									|
% 55.66/16.51  									| Applying alpha-rule on (9930) yields:
% 55.66/16.51  									| (9931)  ~ (all_0_8_8 = 0) | ( ~ (all_63_0_5590 = 0) & s(all_63_1_5591) = all_63_0_5590)
% 55.66/16.51  									| (9932) all_0_8_8 = 0 | (all_63_0_5590 = 0 & s(all_63_1_5591) = 0)
% 55.66/16.51  									|
% 55.66/16.51  									+-Applying beta-rule and splitting (9932), into two cases.
% 55.66/16.51  									|-Branch one:
% 55.66/16.51  									| (120) all_0_8_8 = 0
% 55.66/16.51  									|
% 55.66/16.51  										| Equations (120) can reduce 55 to:
% 55.66/16.51  										| (59) $false
% 55.66/16.51  										|
% 55.66/16.51  										|-The branch is then unsatisfiable
% 55.66/16.51  									|-Branch two:
% 55.66/16.51  									| (55)  ~ (all_0_8_8 = 0)
% 55.66/16.51  									| (9936) all_63_0_5590 = 0 & s(all_63_1_5591) = 0
% 55.66/16.51  									|
% 55.66/16.51  										| Applying alpha-rule on (9936) yields:
% 55.66/16.51  										| (9937) all_63_0_5590 = 0
% 55.66/16.51  										| (9938) s(all_63_1_5591) = 0
% 55.66/16.51  										|
% 55.66/16.51  										+-Applying beta-rule and splitting (9787), into two cases.
% 55.66/16.51  										|-Branch one:
% 55.66/16.51  										| (9797) all_52_0_5504 = 0
% 55.66/16.51  										|
% 55.66/16.51  											| Equations (9797) can reduce 9782 to:
% 55.66/16.51  											| (59) $false
% 55.66/16.51  											|
% 55.66/16.51  											|-The branch is then unsatisfiable
% 55.66/16.51  										|-Branch two:
% 55.66/16.51  										| (9782)  ~ (all_52_0_5504 = 0)
% 55.66/16.51  										| (9800) all_59_0_5506 = 0 & q(all_59_1_5507) = 0
% 55.66/16.51  										|
% 55.66/16.51  											+-Applying beta-rule and splitting (1926), into two cases.
% 55.66/16.51  											|-Branch one:
% 55.66/16.51  											| (1928) all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 55.66/16.51  											|
% 55.66/16.51  												| Applying alpha-rule on (1928) yields:
% 55.66/16.51  												| (42) all_0_16_16 = 0
% 55.66/16.51  												| (1518) s(all_0_17_17) = 0
% 55.66/16.51  												| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 55.66/16.51  												|
% 55.66/16.51  												+-Applying beta-rule and splitting (1516), into two cases.
% 55.66/16.51  												|-Branch one:
% 55.66/16.51  												| (1525) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0
% 55.66/16.51  												|
% 55.66/16.51  													| Applying alpha-rule on (1525) yields:
% 55.66/16.51  													| (33) all_0_18_18 = 0
% 55.66/16.51  													| (34)  ~ (all_0_20_20 = 0)
% 55.66/16.51  													| (1528) q(all_0_21_21) = all_0_20_20
% 55.66/16.51  													| (1529) p(all_0_19_19) = 0
% 55.66/16.51  													|
% 55.66/16.51  													| Instantiating formula (5867) with 0, all_0_19_19 and discharging atoms p(all_0_19_19) = 0, yields:
% 55.66/16.51  													| (5930)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & p(v0) = v1)
% 55.66/16.51  													|
% 55.66/16.51  													| Instantiating (5930) with all_129_0_5608, all_129_1_5609 yields:
% 55.66/16.51  													| (9953)  ~ (all_129_0_5608 = 0) & p(all_129_1_5609) = all_129_0_5608
% 55.66/16.51  													|
% 55.66/16.51  													| Applying alpha-rule on (9953) yields:
% 55.66/16.51  													| (9954)  ~ (all_129_0_5608 = 0)
% 55.66/16.51  													| (9955) p(all_129_1_5609) = all_129_0_5608
% 55.66/16.51  													|
% 55.66/16.51  													| Instantiating formula (61) with all_129_0_5608, all_129_1_5609 and discharging atoms p(all_129_1_5609) = all_129_0_5608, yields:
% 55.66/16.51  													| (9956) all_129_0_5608 = 0
% 55.66/16.51  													|
% 55.66/16.52  													| Equations (9956) can reduce 9954 to:
% 55.66/16.52  													| (59) $false
% 55.66/16.52  													|
% 55.66/16.52  													|-The branch is then unsatisfiable
% 55.66/16.52  												|-Branch two:
% 55.66/16.52  												| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 55.66/16.52  												|
% 55.66/16.52  													| Applying alpha-rule on (76) yields:
% 55.66/16.52  													| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 55.66/16.52  													| (78)  ! [v0] :  ~ (p(v0) = 0)
% 55.66/16.52  													|
% 55.66/16.52  													| Instantiating formula (77) with all_52_0_5504, all_52_1_5505 and discharging atoms q(all_52_1_5505) = all_52_0_5504, yields:
% 55.66/16.52  													| (9797) all_52_0_5504 = 0
% 55.66/16.52  													|
% 55.66/16.52  													| Equations (9797) can reduce 9782 to:
% 55.66/16.52  													| (59) $false
% 55.66/16.52  													|
% 55.66/16.52  													|-The branch is then unsatisfiable
% 55.66/16.52  											|-Branch two:
% 55.66/16.52  											| (1960)  ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0)
% 55.66/16.52  											|
% 55.66/16.52  												| Applying alpha-rule on (1960) yields:
% 55.66/16.52  												| (71)  ~ (all_0_16_16 = 0)
% 55.66/16.52  												| (1962) p(all_0_17_17) = all_0_16_16
% 55.66/16.52  												| (62)  ! [v0] :  ~ (s(v0) = 0)
% 55.66/16.52  												|
% 55.66/16.52  												| Instantiating formula (62) with all_63_1_5591 and discharging atoms s(all_63_1_5591) = 0, yields:
% 55.66/16.52  												| (79) $false
% 55.66/16.52  												|
% 55.66/16.52  												|-The branch is then unsatisfiable
% 55.66/16.52  						|-Branch two:
% 55.66/16.52  						| (9194)  ~ (all_0_4_4 = 0) & r(all_0_5_5) = all_0_4_4 &  ! [v0] :  ~ (q(v0) = 0)
% 55.66/16.52  						|
% 55.66/16.52  							| Applying alpha-rule on (9194) yields:
% 55.66/16.52  							| (214)  ~ (all_0_4_4 = 0)
% 55.66/16.52  							| (28) r(all_0_5_5) = all_0_4_4
% 55.66/16.52  							| (212)  ! [v0] :  ~ (q(v0) = 0)
% 55.66/16.52  							|
% 55.66/16.52  							| Instantiating formula (9019) with all_0_4_4, all_0_5_5 and discharging atoms r(all_0_5_5) = all_0_4_4, yields:
% 55.66/16.52  							| (3584)  ~ (all_0_10_10 = 0) | all_0_4_4 = 0
% 55.66/16.52  							|
% 55.66/16.52  							+-Applying beta-rule and splitting (3584), into two cases.
% 55.66/16.52  							|-Branch one:
% 55.66/16.52  							| (52)  ~ (all_0_10_10 = 0)
% 55.66/16.52  							|
% 55.66/16.52  								| Equations (58) can reduce 52 to:
% 55.66/16.52  								| (59) $false
% 55.66/16.52  								|
% 55.66/16.52  								|-The branch is then unsatisfiable
% 55.66/16.52  							|-Branch two:
% 55.66/16.52  							| (58) all_0_10_10 = 0
% 55.66/16.52  							| (37) all_0_4_4 = 0
% 55.66/16.52  							|
% 55.66/16.52  								| Equations (37) can reduce 214 to:
% 55.66/16.52  								| (59) $false
% 55.66/16.52  								|
% 55.66/16.52  								|-The branch is then unsatisfiable
% 55.66/16.52  					|-Branch two:
% 55.66/16.52  					| (219)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)
% 55.66/16.52  					|
% 55.66/16.52  						| Applying alpha-rule on (219) yields:
% 55.66/16.52  						| (220)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))
% 55.66/16.52  						| (221)  ! [v0] :  ~ (r(v0) = 0)
% 55.66/16.52  						|
% 55.66/16.52  						+-Applying beta-rule and splitting (9007), into two cases.
% 55.66/16.52  						|-Branch one:
% 55.66/16.52  						| (9027) all_0_4_4 = 0 & q(all_0_5_5) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 55.66/16.52  						|
% 55.66/16.52  							| Applying alpha-rule on (9027) yields:
% 55.66/16.52  							| (37) all_0_4_4 = 0
% 55.66/16.52  							| (9029) q(all_0_5_5) = 0
% 55.66/16.52  							| (41)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 55.66/16.52  							|
% 55.66/16.52  							| Instantiating formula (41) with all_0_10_10, all_0_11_11 and discharging atoms r(all_0_11_11) = all_0_10_10, yields:
% 55.66/16.52  							| (58) all_0_10_10 = 0
% 55.66/16.52  							|
% 55.66/16.52  							| From (58) and (9018) follows:
% 55.66/16.52  							| (1501) r(all_0_11_11) = 0
% 55.66/16.52  							|
% 55.66/16.52  							| Instantiating formula (221) with all_0_11_11 and discharging atoms r(all_0_11_11) = 0, yields:
% 55.66/16.52  							| (79) $false
% 55.66/16.52  							|
% 55.66/16.52  							|-The branch is then unsatisfiable
% 55.66/16.52  						|-Branch two:
% 55.66/16.52  						| (9194)  ~ (all_0_4_4 = 0) & r(all_0_5_5) = all_0_4_4 &  ! [v0] :  ~ (q(v0) = 0)
% 55.66/16.52  						|
% 55.66/16.52  							| Applying alpha-rule on (9194) yields:
% 55.66/16.52  							| (214)  ~ (all_0_4_4 = 0)
% 55.66/16.52  							| (28) r(all_0_5_5) = all_0_4_4
% 55.66/16.52  							| (212)  ! [v0] :  ~ (q(v0) = 0)
% 55.66/16.52  							|
% 55.66/16.52  							+-Applying beta-rule and splitting (1838), into two cases.
% 55.66/16.52  							|-Branch one:
% 55.66/16.52  							| (1857) ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))
% 55.66/16.52  							|
% 55.66/16.52  								| Applying alpha-rule on (1857) yields:
% 55.66/16.52  								| (469) (all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))
% 55.66/16.52  								| (1511) (s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))))
% 55.66/16.52  								|
% 55.66/16.52  								+-Applying beta-rule and splitting (1511), into two cases.
% 55.66/16.52  								|-Branch one:
% 55.66/16.52  								| (1512) s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 55.66/16.52  								|
% 55.66/16.52  									| Applying alpha-rule on (1512) yields:
% 55.66/16.52  									| (1513) s(all_0_17_17) = all_0_16_16
% 55.66/16.52  									| (1514)  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 55.66/16.52  									| (1515)  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0))
% 55.66/16.52  									| (1516) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 55.66/16.52  									|
% 55.66/16.52  									| Instantiating formula (220) with all_0_16_16, all_0_17_17 and discharging atoms s(all_0_17_17) = all_0_16_16, yields:
% 55.66/16.52  									| (42) all_0_16_16 = 0
% 55.66/16.52  									|
% 55.66/16.52  									| From (42) and (1513) follows:
% 55.66/16.52  									| (1518) s(all_0_17_17) = 0
% 55.66/16.52  									|
% 55.66/16.52  									+-Applying beta-rule and splitting (469), into two cases.
% 55.66/16.52  									|-Branch one:
% 55.66/16.52  									| (471) all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14
% 55.66/16.52  									|
% 55.66/16.52  										| Applying alpha-rule on (471) yields:
% 55.66/16.52  										| (66) all_0_12_12 = 0
% 55.66/16.52  										| (67)  ~ (all_0_14_14 = 0)
% 55.66/16.52  										| (310) s(all_0_13_13) = 0
% 55.66/16.52  										| (475) p(all_0_15_15) = all_0_14_14
% 55.66/16.52  										|
% 55.66/16.52  										| Instantiating formula (5867) with all_0_14_14, all_0_15_15 and discharging atoms p(all_0_15_15) = all_0_14_14, yields:
% 55.66/16.52  										| (6381)  ? [v0] :  ? [v1] : (( ~ (all_0_14_14 = 0) | ( ~ (v1 = 0) & p(v0) = v1)) & (all_0_14_14 = 0 | (v1 = 0 & p(v0) = 0)))
% 55.66/16.52  										|
% 55.66/16.52  										| Instantiating (6381) with all_69_0_5616, all_69_1_5617 yields:
% 55.66/16.52  										| (10008) ( ~ (all_0_14_14 = 0) | ( ~ (all_69_0_5616 = 0) & p(all_69_1_5617) = all_69_0_5616)) & (all_0_14_14 = 0 | (all_69_0_5616 = 0 & p(all_69_1_5617) = 0))
% 55.66/16.52  										|
% 55.66/16.52  										| Applying alpha-rule on (10008) yields:
% 55.66/16.53  										| (10009)  ~ (all_0_14_14 = 0) | ( ~ (all_69_0_5616 = 0) & p(all_69_1_5617) = all_69_0_5616)
% 55.66/16.53  										| (10010) all_0_14_14 = 0 | (all_69_0_5616 = 0 & p(all_69_1_5617) = 0)
% 55.66/16.53  										|
% 55.66/16.53  										+-Applying beta-rule and splitting (1516), into two cases.
% 55.66/16.53  										|-Branch one:
% 55.66/16.53  										| (1525) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0
% 55.66/16.53  										|
% 55.66/16.53  											| Applying alpha-rule on (1525) yields:
% 55.66/16.53  											| (33) all_0_18_18 = 0
% 55.66/16.53  											| (34)  ~ (all_0_20_20 = 0)
% 55.66/16.53  											| (1528) q(all_0_21_21) = all_0_20_20
% 55.66/16.53  											| (1529) p(all_0_19_19) = 0
% 55.66/16.53  											|
% 55.66/16.53  											| Instantiating formula (717) with all_0_20_20, all_0_21_21 and discharging atoms q(all_0_21_21) = all_0_20_20, yields:
% 55.66/16.53  											| (2420)  ? [v0] :  ? [v1] : (( ~ (all_0_20_20 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_0_20_20 = 0 | (v1 = 0 & q(v0) = 0)))
% 55.66/16.53  											|
% 55.66/16.53  											| Instantiating (2420) with all_83_0_5620, all_83_1_5621 yields:
% 55.66/16.53  											| (10017) ( ~ (all_0_20_20 = 0) | ( ~ (all_83_0_5620 = 0) & q(all_83_1_5621) = all_83_0_5620)) & (all_0_20_20 = 0 | (all_83_0_5620 = 0 & q(all_83_1_5621) = 0))
% 55.66/16.53  											|
% 55.66/16.53  											| Applying alpha-rule on (10017) yields:
% 55.66/16.53  											| (10018)  ~ (all_0_20_20 = 0) | ( ~ (all_83_0_5620 = 0) & q(all_83_1_5621) = all_83_0_5620)
% 55.66/16.53  											| (10019) all_0_20_20 = 0 | (all_83_0_5620 = 0 & q(all_83_1_5621) = 0)
% 55.66/16.53  											|
% 55.66/16.53  											+-Applying beta-rule and splitting (10019), into two cases.
% 55.66/16.53  											|-Branch one:
% 55.66/16.53  											| (81) all_0_20_20 = 0
% 55.66/16.53  											|
% 55.66/16.53  												| Equations (81) can reduce 34 to:
% 55.66/16.53  												| (59) $false
% 55.66/16.53  												|
% 55.66/16.53  												|-The branch is then unsatisfiable
% 55.66/16.53  											|-Branch two:
% 55.66/16.53  											| (34)  ~ (all_0_20_20 = 0)
% 55.66/16.53  											| (10023) all_83_0_5620 = 0 & q(all_83_1_5621) = 0
% 55.66/16.53  											|
% 55.66/16.53  												| Applying alpha-rule on (10023) yields:
% 55.66/16.53  												| (10024) all_83_0_5620 = 0
% 55.66/16.53  												| (10025) q(all_83_1_5621) = 0
% 55.66/16.53  												|
% 55.66/16.53  												| Instantiating formula (212) with all_83_1_5621 and discharging atoms q(all_83_1_5621) = 0, yields:
% 55.66/16.53  												| (79) $false
% 55.66/16.53  												|
% 55.66/16.53  												|-The branch is then unsatisfiable
% 55.66/16.53  										|-Branch two:
% 55.66/16.53  										| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 55.66/16.53  										|
% 55.66/16.53  											| Applying alpha-rule on (76) yields:
% 55.66/16.53  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 55.66/16.53  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 55.66/16.53  											|
% 55.66/16.53  											+-Applying beta-rule and splitting (10010), into two cases.
% 55.66/16.53  											|-Branch one:
% 55.66/16.53  											| (74) all_0_14_14 = 0
% 55.66/16.53  											|
% 55.66/16.53  												| Equations (74) can reduce 67 to:
% 55.66/16.53  												| (59) $false
% 55.66/16.53  												|
% 55.66/16.53  												|-The branch is then unsatisfiable
% 55.66/16.53  											|-Branch two:
% 55.66/16.53  											| (67)  ~ (all_0_14_14 = 0)
% 55.66/16.53  											| (10033) all_69_0_5616 = 0 & p(all_69_1_5617) = 0
% 55.66/16.53  											|
% 55.66/16.53  												| Applying alpha-rule on (10033) yields:
% 55.66/16.53  												| (10034) all_69_0_5616 = 0
% 55.66/16.53  												| (10035) p(all_69_1_5617) = 0
% 55.66/16.53  												|
% 55.66/16.53  												| Instantiating formula (78) with all_69_1_5617 and discharging atoms p(all_69_1_5617) = 0, yields:
% 55.66/16.53  												| (79) $false
% 55.66/16.53  												|
% 55.66/16.53  												|-The branch is then unsatisfiable
% 55.66/16.53  									|-Branch two:
% 55.66/16.53  									| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 55.66/16.53  									|
% 55.66/16.53  										| Applying alpha-rule on (60) yields:
% 55.66/16.53  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 55.66/16.53  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 55.66/16.53  										|
% 55.66/16.53  										| Instantiating formula (62) with all_0_17_17 and discharging atoms s(all_0_17_17) = 0, yields:
% 55.66/16.53  										| (79) $false
% 55.66/16.53  										|
% 55.66/16.53  										|-The branch is then unsatisfiable
% 55.66/16.53  								|-Branch two:
% 55.66/16.53  								| (1545)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))
% 55.66/16.53  								|
% 55.66/16.53  									| Applying alpha-rule on (1545) yields:
% 55.66/16.53  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 55.66/16.53  									| (1547) (all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))
% 55.66/16.53  									|
% 55.66/16.53  									+-Applying beta-rule and splitting (469), into two cases.
% 55.66/16.53  									|-Branch one:
% 55.66/16.53  									| (471) all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14
% 55.66/16.53  									|
% 55.66/16.53  										| Applying alpha-rule on (471) yields:
% 55.66/16.53  										| (66) all_0_12_12 = 0
% 55.66/16.53  										| (67)  ~ (all_0_14_14 = 0)
% 55.66/16.53  										| (310) s(all_0_13_13) = 0
% 55.66/16.53  										| (475) p(all_0_15_15) = all_0_14_14
% 55.66/16.53  										|
% 55.66/16.53  										| Instantiating formula (84) with 0, all_0_13_13 and discharging atoms s(all_0_13_13) = 0, yields:
% 55.66/16.53  										| (278)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & s(v0) = v1)
% 55.66/16.53  										|
% 55.66/16.53  										| Instantiating (278) with all_62_0_5624, all_62_1_5625 yields:
% 55.66/16.53  										| (10050)  ~ (all_62_0_5624 = 0) & s(all_62_1_5625) = all_62_0_5624
% 55.66/16.53  										|
% 55.66/16.53  										| Applying alpha-rule on (10050) yields:
% 55.66/16.53  										| (10051)  ~ (all_62_0_5624 = 0)
% 55.66/16.53  										| (10052) s(all_62_1_5625) = all_62_0_5624
% 55.66/16.53  										|
% 55.66/16.53  										| Instantiating formula (220) with all_62_0_5624, all_62_1_5625 and discharging atoms s(all_62_1_5625) = all_62_0_5624, yields:
% 55.66/16.53  										| (10053) all_62_0_5624 = 0
% 55.66/16.53  										|
% 55.66/16.53  										| Equations (10053) can reduce 10051 to:
% 55.66/16.53  										| (59) $false
% 55.66/16.53  										|
% 55.66/16.53  										|-The branch is then unsatisfiable
% 55.66/16.53  									|-Branch two:
% 55.66/16.53  									| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 55.66/16.53  									|
% 55.66/16.53  										| Applying alpha-rule on (60) yields:
% 55.66/16.53  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 55.66/16.53  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 55.66/16.53  										|
% 55.66/16.53  										+-Applying beta-rule and splitting (1547), into two cases.
% 55.66/16.53  										|-Branch one:
% 55.66/16.53  										| (1563) all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 55.66/16.54  										|
% 55.66/16.54  											| Applying alpha-rule on (1563) yields:
% 55.66/16.54  											| (81) all_0_20_20 = 0
% 55.66/16.54  											| (1565) p(all_0_21_21) = 0
% 55.66/16.54  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 55.66/16.54  											|
% 55.66/16.54  											| Instantiating formula (5867) with 0, all_0_21_21 and discharging atoms p(all_0_21_21) = 0, yields:
% 55.66/16.54  											| (5930)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & p(v0) = v1)
% 55.66/16.54  											|
% 55.66/16.54  											| Instantiating (5930) with all_69_0_5626, all_69_1_5627 yields:
% 55.66/16.54  											| (10063)  ~ (all_69_0_5626 = 0) & p(all_69_1_5627) = all_69_0_5626
% 55.66/16.54  											|
% 55.66/16.54  											| Applying alpha-rule on (10063) yields:
% 55.66/16.54  											| (10064)  ~ (all_69_0_5626 = 0)
% 55.66/16.54  											| (10065) p(all_69_1_5627) = all_69_0_5626
% 55.66/16.54  											|
% 55.66/16.54  											| Instantiating formula (61) with all_69_0_5626, all_69_1_5627 and discharging atoms p(all_69_1_5627) = all_69_0_5626, yields:
% 55.66/16.54  											| (10066) all_69_0_5626 = 0
% 55.66/16.54  											|
% 55.66/16.54  											| Equations (10066) can reduce 10064 to:
% 55.66/16.54  											| (59) $false
% 55.66/16.54  											|
% 55.66/16.54  											|-The branch is then unsatisfiable
% 55.66/16.54  										|-Branch two:
% 55.66/16.54  										| (1573)  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)
% 55.66/16.54  										|
% 55.66/16.54  											| Applying alpha-rule on (1573) yields:
% 55.66/16.54  											| (34)  ~ (all_0_20_20 = 0)
% 55.66/16.54  											| (1528) q(all_0_21_21) = all_0_20_20
% 55.66/16.54  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 55.66/16.54  											|
% 55.66/16.54  											| Instantiating formula (717) with all_0_20_20, all_0_21_21 and discharging atoms q(all_0_21_21) = all_0_20_20, yields:
% 55.66/16.54  											| (2420)  ? [v0] :  ? [v1] : (( ~ (all_0_20_20 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_0_20_20 = 0 | (v1 = 0 & q(v0) = 0)))
% 55.66/16.54  											|
% 55.66/16.54  											| Instantiating (2420) with all_69_0_5628, all_69_1_5629 yields:
% 55.66/16.54  											| (10073) ( ~ (all_0_20_20 = 0) | ( ~ (all_69_0_5628 = 0) & q(all_69_1_5629) = all_69_0_5628)) & (all_0_20_20 = 0 | (all_69_0_5628 = 0 & q(all_69_1_5629) = 0))
% 55.66/16.54  											|
% 55.66/16.54  											| Applying alpha-rule on (10073) yields:
% 55.66/16.54  											| (10074)  ~ (all_0_20_20 = 0) | ( ~ (all_69_0_5628 = 0) & q(all_69_1_5629) = all_69_0_5628)
% 55.66/16.54  											| (10075) all_0_20_20 = 0 | (all_69_0_5628 = 0 & q(all_69_1_5629) = 0)
% 55.66/16.54  											|
% 55.66/16.54  											+-Applying beta-rule and splitting (10075), into two cases.
% 55.66/16.54  											|-Branch one:
% 55.66/16.54  											| (81) all_0_20_20 = 0
% 55.66/16.54  											|
% 55.66/16.54  												| Equations (81) can reduce 34 to:
% 55.66/16.54  												| (59) $false
% 55.66/16.54  												|
% 55.66/16.54  												|-The branch is then unsatisfiable
% 55.66/16.54  											|-Branch two:
% 55.66/16.54  											| (34)  ~ (all_0_20_20 = 0)
% 55.66/16.54  											| (10079) all_69_0_5628 = 0 & q(all_69_1_5629) = 0
% 55.66/16.54  											|
% 55.66/16.54  												| Applying alpha-rule on (10079) yields:
% 55.66/16.54  												| (10080) all_69_0_5628 = 0
% 55.66/16.54  												| (10081) q(all_69_1_5629) = 0
% 55.66/16.54  												|
% 55.66/16.54  												| Instantiating formula (212) with all_69_1_5629 and discharging atoms q(all_69_1_5629) = 0, yields:
% 55.66/16.54  												| (79) $false
% 55.66/16.54  												|
% 55.66/16.54  												|-The branch is then unsatisfiable
% 55.66/16.54  							|-Branch two:
% 55.66/16.54  							| (1925) ((all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))
% 55.66/16.54  							|
% 55.66/16.54  								| Applying alpha-rule on (1925) yields:
% 55.66/16.54  								| (1926) (all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))
% 55.66/16.54  								| (1927) (s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))
% 55.66/16.54  								|
% 55.66/16.54  								+-Applying beta-rule and splitting (1927), into two cases.
% 55.66/16.54  								|-Branch one:
% 55.66/16.54  								| (1934) s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))
% 55.66/16.54  								|
% 55.66/16.54  									| Applying alpha-rule on (1934) yields:
% 55.66/16.54  									| (1935) s(all_0_19_19) = all_0_18_18
% 55.66/16.54  									| (1936)  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 55.66/16.54  									| (1937)  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0))
% 55.66/16.54  									| (1547) (all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))
% 55.66/16.54  									|
% 55.66/16.54  									| Instantiating formula (220) with all_0_18_18, all_0_19_19 and discharging atoms s(all_0_19_19) = all_0_18_18, yields:
% 55.66/16.54  									| (33) all_0_18_18 = 0
% 55.66/16.54  									|
% 55.66/16.54  									| From (33) and (1935) follows:
% 55.66/16.54  									| (1596) s(all_0_19_19) = 0
% 55.66/16.54  									|
% 55.66/16.54  									+-Applying beta-rule and splitting (1926), into two cases.
% 55.66/16.54  									|-Branch one:
% 55.66/16.54  									| (1928) all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 55.66/16.54  									|
% 55.66/16.54  										| Applying alpha-rule on (1928) yields:
% 55.66/16.54  										| (42) all_0_16_16 = 0
% 55.66/16.54  										| (1518) s(all_0_17_17) = 0
% 55.66/16.54  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 55.66/16.54  										|
% 55.66/16.54  										+-Applying beta-rule and splitting (1547), into two cases.
% 55.66/16.54  										|-Branch one:
% 55.66/16.54  										| (1563) all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 55.66/16.54  										|
% 55.66/16.54  											| Applying alpha-rule on (1563) yields:
% 55.66/16.54  											| (81) all_0_20_20 = 0
% 55.66/16.54  											| (1565) p(all_0_21_21) = 0
% 55.66/16.54  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 55.66/16.54  											|
% 55.66/16.54  											| Instantiating formula (5867) with 0, all_0_21_21 and discharging atoms p(all_0_21_21) = 0, yields:
% 55.66/16.54  											| (5930)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & p(v0) = v1)
% 55.66/16.54  											|
% 55.66/16.54  											| Instantiating (5930) with all_78_0_5630, all_78_1_5631 yields:
% 55.66/16.55  											| (10102)  ~ (all_78_0_5630 = 0) & p(all_78_1_5631) = all_78_0_5630
% 55.66/16.55  											|
% 55.66/16.55  											| Applying alpha-rule on (10102) yields:
% 55.66/16.55  											| (10103)  ~ (all_78_0_5630 = 0)
% 55.66/16.55  											| (10104) p(all_78_1_5631) = all_78_0_5630
% 55.66/16.55  											|
% 55.66/16.55  											| Instantiating formula (61) with all_78_0_5630, all_78_1_5631 and discharging atoms p(all_78_1_5631) = all_78_0_5630, yields:
% 55.66/16.55  											| (10105) all_78_0_5630 = 0
% 55.66/16.55  											|
% 55.66/16.55  											| Equations (10105) can reduce 10103 to:
% 55.66/16.55  											| (59) $false
% 55.66/16.55  											|
% 55.66/16.55  											|-The branch is then unsatisfiable
% 55.66/16.55  										|-Branch two:
% 55.66/16.55  										| (1573)  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)
% 55.66/16.55  										|
% 55.66/16.55  											| Applying alpha-rule on (1573) yields:
% 55.66/16.55  											| (34)  ~ (all_0_20_20 = 0)
% 55.66/16.55  											| (1528) q(all_0_21_21) = all_0_20_20
% 55.66/16.55  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 55.66/16.55  											|
% 55.66/16.55  											| Instantiating formula (717) with all_0_20_20, all_0_21_21 and discharging atoms q(all_0_21_21) = all_0_20_20, yields:
% 55.66/16.55  											| (2420)  ? [v0] :  ? [v1] : (( ~ (all_0_20_20 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_0_20_20 = 0 | (v1 = 0 & q(v0) = 0)))
% 55.66/16.55  											|
% 55.66/16.55  											| Instantiating (2420) with all_78_0_5632, all_78_1_5633 yields:
% 55.66/16.55  											| (10112) ( ~ (all_0_20_20 = 0) | ( ~ (all_78_0_5632 = 0) & q(all_78_1_5633) = all_78_0_5632)) & (all_0_20_20 = 0 | (all_78_0_5632 = 0 & q(all_78_1_5633) = 0))
% 55.66/16.55  											|
% 55.66/16.55  											| Applying alpha-rule on (10112) yields:
% 55.66/16.55  											| (10113)  ~ (all_0_20_20 = 0) | ( ~ (all_78_0_5632 = 0) & q(all_78_1_5633) = all_78_0_5632)
% 55.66/16.55  											| (10114) all_0_20_20 = 0 | (all_78_0_5632 = 0 & q(all_78_1_5633) = 0)
% 55.66/16.55  											|
% 55.66/16.55  											+-Applying beta-rule and splitting (10114), into two cases.
% 55.66/16.55  											|-Branch one:
% 55.66/16.55  											| (81) all_0_20_20 = 0
% 55.66/16.55  											|
% 55.66/16.55  												| Equations (81) can reduce 34 to:
% 55.66/16.55  												| (59) $false
% 55.66/16.55  												|
% 55.66/16.55  												|-The branch is then unsatisfiable
% 55.66/16.55  											|-Branch two:
% 55.66/16.55  											| (34)  ~ (all_0_20_20 = 0)
% 55.66/16.55  											| (10118) all_78_0_5632 = 0 & q(all_78_1_5633) = 0
% 55.66/16.55  											|
% 55.66/16.55  												| Applying alpha-rule on (10118) yields:
% 55.66/16.55  												| (10119) all_78_0_5632 = 0
% 55.66/16.55  												| (10120) q(all_78_1_5633) = 0
% 55.66/16.55  												|
% 55.66/16.55  												| Instantiating formula (212) with all_78_1_5633 and discharging atoms q(all_78_1_5633) = 0, yields:
% 55.66/16.55  												| (79) $false
% 55.66/16.55  												|
% 55.66/16.55  												|-The branch is then unsatisfiable
% 55.66/16.55  									|-Branch two:
% 55.66/16.55  									| (1960)  ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0)
% 55.66/16.55  									|
% 55.66/16.55  										| Applying alpha-rule on (1960) yields:
% 55.66/16.55  										| (71)  ~ (all_0_16_16 = 0)
% 55.66/16.55  										| (1962) p(all_0_17_17) = all_0_16_16
% 55.66/16.55  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 55.66/16.55  										|
% 55.66/16.55  										| Instantiating formula (62) with all_0_19_19 and discharging atoms s(all_0_19_19) = 0, yields:
% 55.66/16.55  										| (79) $false
% 55.66/16.55  										|
% 55.66/16.55  										|-The branch is then unsatisfiable
% 55.66/16.55  								|-Branch two:
% 55.66/16.55  								| (1951)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 55.66/16.55  								|
% 55.66/16.55  									| Applying alpha-rule on (1951) yields:
% 55.66/16.55  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 55.66/16.55  									| (1516) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 55.66/16.55  									|
% 55.66/16.55  									+-Applying beta-rule and splitting (1926), into two cases.
% 55.66/16.55  									|-Branch one:
% 55.66/16.55  									| (1928) all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 55.66/16.55  									|
% 55.66/16.55  										| Applying alpha-rule on (1928) yields:
% 55.66/16.55  										| (42) all_0_16_16 = 0
% 55.66/16.55  										| (1518) s(all_0_17_17) = 0
% 55.66/16.55  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 55.66/16.55  										|
% 55.66/16.55  										| Instantiating formula (84) with 0, all_0_17_17 and discharging atoms s(all_0_17_17) = 0, yields:
% 55.66/16.55  										| (278)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & s(v0) = v1)
% 55.66/16.55  										|
% 55.66/16.55  										| Instantiating (278) with all_62_0_5634, all_62_1_5635 yields:
% 55.66/16.55  										| (10135)  ~ (all_62_0_5634 = 0) & s(all_62_1_5635) = all_62_0_5634
% 55.66/16.55  										|
% 55.66/16.55  										| Applying alpha-rule on (10135) yields:
% 55.66/16.55  										| (10136)  ~ (all_62_0_5634 = 0)
% 55.66/16.55  										| (10137) s(all_62_1_5635) = all_62_0_5634
% 55.66/16.55  										|
% 55.66/16.55  										| Instantiating formula (220) with all_62_0_5634, all_62_1_5635 and discharging atoms s(all_62_1_5635) = all_62_0_5634, yields:
% 55.66/16.55  										| (10138) all_62_0_5634 = 0
% 55.66/16.55  										|
% 55.66/16.55  										| Equations (10138) can reduce 10136 to:
% 55.66/16.55  										| (59) $false
% 55.66/16.55  										|
% 55.66/16.55  										|-The branch is then unsatisfiable
% 55.66/16.55  									|-Branch two:
% 55.66/16.55  									| (1960)  ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0)
% 55.66/16.55  									|
% 55.66/16.55  										| Applying alpha-rule on (1960) yields:
% 55.66/16.55  										| (71)  ~ (all_0_16_16 = 0)
% 55.66/16.55  										| (1962) p(all_0_17_17) = all_0_16_16
% 55.66/16.55  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 55.66/16.55  										|
% 55.66/16.55  										| Instantiating formula (5867) with all_0_16_16, all_0_17_17 and discharging atoms p(all_0_17_17) = all_0_16_16, yields:
% 55.66/16.56  										| (7971)  ? [v0] :  ? [v1] : (( ~ (all_0_16_16 = 0) | ( ~ (v1 = 0) & p(v0) = v1)) & (all_0_16_16 = 0 | (v1 = 0 & p(v0) = 0)))
% 55.66/16.56  										|
% 55.66/16.56  										| Instantiating (7971) with all_62_0_5636, all_62_1_5637 yields:
% 55.66/16.56  										| (10145) ( ~ (all_0_16_16 = 0) | ( ~ (all_62_0_5636 = 0) & p(all_62_1_5637) = all_62_0_5636)) & (all_0_16_16 = 0 | (all_62_0_5636 = 0 & p(all_62_1_5637) = 0))
% 55.66/16.56  										|
% 55.66/16.56  										| Applying alpha-rule on (10145) yields:
% 55.66/16.56  										| (10146)  ~ (all_0_16_16 = 0) | ( ~ (all_62_0_5636 = 0) & p(all_62_1_5637) = all_62_0_5636)
% 55.66/16.56  										| (10147) all_0_16_16 = 0 | (all_62_0_5636 = 0 & p(all_62_1_5637) = 0)
% 55.66/16.56  										|
% 55.66/16.56  										+-Applying beta-rule and splitting (1516), into two cases.
% 55.66/16.56  										|-Branch one:
% 55.66/16.56  										| (1525) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0
% 55.66/16.56  										|
% 55.66/16.56  											| Applying alpha-rule on (1525) yields:
% 55.66/16.56  											| (33) all_0_18_18 = 0
% 55.66/16.56  											| (34)  ~ (all_0_20_20 = 0)
% 55.66/16.56  											| (1528) q(all_0_21_21) = all_0_20_20
% 55.66/16.56  											| (1529) p(all_0_19_19) = 0
% 55.66/16.56  											|
% 55.66/16.56  											| Instantiating formula (717) with all_0_20_20, all_0_21_21 and discharging atoms q(all_0_21_21) = all_0_20_20, yields:
% 55.66/16.56  											| (2420)  ? [v0] :  ? [v1] : (( ~ (all_0_20_20 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_0_20_20 = 0 | (v1 = 0 & q(v0) = 0)))
% 55.66/16.56  											|
% 55.66/16.56  											| Instantiating (2420) with all_76_0_5640, all_76_1_5641 yields:
% 55.66/16.56  											| (10154) ( ~ (all_0_20_20 = 0) | ( ~ (all_76_0_5640 = 0) & q(all_76_1_5641) = all_76_0_5640)) & (all_0_20_20 = 0 | (all_76_0_5640 = 0 & q(all_76_1_5641) = 0))
% 55.66/16.56  											|
% 55.66/16.56  											| Applying alpha-rule on (10154) yields:
% 55.66/16.56  											| (10155)  ~ (all_0_20_20 = 0) | ( ~ (all_76_0_5640 = 0) & q(all_76_1_5641) = all_76_0_5640)
% 55.66/16.56  											| (10156) all_0_20_20 = 0 | (all_76_0_5640 = 0 & q(all_76_1_5641) = 0)
% 55.66/16.56  											|
% 55.66/16.56  											+-Applying beta-rule and splitting (10156), into two cases.
% 55.66/16.56  											|-Branch one:
% 55.66/16.56  											| (81) all_0_20_20 = 0
% 55.66/16.56  											|
% 55.66/16.56  												| Equations (81) can reduce 34 to:
% 55.66/16.56  												| (59) $false
% 55.66/16.56  												|
% 55.66/16.56  												|-The branch is then unsatisfiable
% 55.66/16.56  											|-Branch two:
% 55.66/16.56  											| (34)  ~ (all_0_20_20 = 0)
% 55.66/16.56  											| (10160) all_76_0_5640 = 0 & q(all_76_1_5641) = 0
% 55.66/16.56  											|
% 55.66/16.56  												| Applying alpha-rule on (10160) yields:
% 55.66/16.56  												| (10161) all_76_0_5640 = 0
% 55.66/16.56  												| (10162) q(all_76_1_5641) = 0
% 55.66/16.56  												|
% 55.66/16.56  												| Instantiating formula (212) with all_76_1_5641 and discharging atoms q(all_76_1_5641) = 0, yields:
% 55.66/16.56  												| (79) $false
% 55.66/16.56  												|
% 55.66/16.56  												|-The branch is then unsatisfiable
% 55.66/16.56  										|-Branch two:
% 55.66/16.56  										| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 55.66/16.56  										|
% 55.66/16.56  											| Applying alpha-rule on (76) yields:
% 55.66/16.56  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 55.66/16.56  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 55.66/16.56  											|
% 55.66/16.56  											+-Applying beta-rule and splitting (10147), into two cases.
% 55.66/16.56  											|-Branch one:
% 55.66/16.56  											| (42) all_0_16_16 = 0
% 55.66/16.56  											|
% 55.66/16.56  												| Equations (42) can reduce 71 to:
% 55.66/16.56  												| (59) $false
% 55.66/16.56  												|
% 55.66/16.56  												|-The branch is then unsatisfiable
% 55.66/16.56  											|-Branch two:
% 55.66/16.56  											| (71)  ~ (all_0_16_16 = 0)
% 55.66/16.56  											| (10170) all_62_0_5636 = 0 & p(all_62_1_5637) = 0
% 55.66/16.56  											|
% 55.66/16.56  												| Applying alpha-rule on (10170) yields:
% 55.66/16.56  												| (10171) all_62_0_5636 = 0
% 55.66/16.56  												| (10172) p(all_62_1_5637) = 0
% 55.66/16.56  												|
% 55.66/16.56  												| Instantiating formula (78) with all_62_1_5637 and discharging atoms p(all_62_1_5637) = 0, yields:
% 55.66/16.56  												| (79) $false
% 55.66/16.56  												|
% 55.66/16.56  												|-The branch is then unsatisfiable
% 55.66/16.56  				|-Branch two:
% 55.66/16.56  				| (9387)  ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))
% 55.66/16.56  				|
% 55.66/16.56  					| Applying alpha-rule on (9387) yields:
% 55.66/16.56  					| (370)  ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0))))
% 55.66/16.57  					| (1498) (((all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))
% 55.66/16.57  					|
% 55.66/16.57  					+-Applying beta-rule and splitting (9764), into two cases.
% 55.66/16.57  					|-Branch one:
% 55.66/16.57  					| (9770) all_0_6_6 = 0 &  ~ (all_0_8_8 = 0) & s(all_0_9_9) = all_0_8_8 & r(all_0_7_7) = 0
% 55.66/16.57  					|
% 55.66/16.57  						| Applying alpha-rule on (9770) yields:
% 55.66/16.57  						| (54) all_0_6_6 = 0
% 55.66/16.57  						| (55)  ~ (all_0_8_8 = 0)
% 55.66/16.57  						| (478) s(all_0_9_9) = all_0_8_8
% 55.66/16.57  						| (3304) r(all_0_7_7) = 0
% 55.66/16.57  						|
% 55.66/16.57  						| Instantiating formula (370) with 0, all_0_7_7 and discharging atoms r(all_0_7_7) = 0, yields:
% 55.66/16.57  						| (377)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & r(v0) = v1)
% 55.66/16.57  						|
% 55.66/16.57  						| Instantiating (377) with all_36_0_5642, all_36_1_5643 yields:
% 55.66/16.57  						| (10183)  ~ (all_36_0_5642 = 0) & r(all_36_1_5643) = all_36_0_5642
% 55.66/16.57  						|
% 55.66/16.57  						| Applying alpha-rule on (10183) yields:
% 55.66/16.57  						| (10184)  ~ (all_36_0_5642 = 0)
% 55.66/16.57  						| (10185) r(all_36_1_5643) = all_36_0_5642
% 55.66/16.57  						|
% 55.66/16.57  						+-Applying beta-rule and splitting (9007), into two cases.
% 55.66/16.57  						|-Branch one:
% 55.66/16.57  						| (9027) all_0_4_4 = 0 & q(all_0_5_5) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 55.66/16.57  						|
% 55.66/16.57  							| Applying alpha-rule on (9027) yields:
% 55.66/16.57  							| (37) all_0_4_4 = 0
% 55.66/16.57  							| (9029) q(all_0_5_5) = 0
% 55.66/16.57  							| (41)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 55.66/16.57  							|
% 55.66/16.57  							| Instantiating formula (41) with all_36_0_5642, all_36_1_5643 and discharging atoms r(all_36_1_5643) = all_36_0_5642, yields:
% 55.66/16.57  							| (10190) all_36_0_5642 = 0
% 55.66/16.57  							|
% 55.66/16.57  							| Equations (10190) can reduce 10184 to:
% 55.66/16.57  							| (59) $false
% 55.66/16.57  							|
% 55.66/16.57  							|-The branch is then unsatisfiable
% 55.66/16.57  						|-Branch two:
% 55.66/16.57  						| (9194)  ~ (all_0_4_4 = 0) & r(all_0_5_5) = all_0_4_4 &  ! [v0] :  ~ (q(v0) = 0)
% 55.66/16.57  						|
% 55.66/16.57  							| Applying alpha-rule on (9194) yields:
% 55.66/16.57  							| (214)  ~ (all_0_4_4 = 0)
% 55.66/16.57  							| (28) r(all_0_5_5) = all_0_4_4
% 55.66/16.57  							| (212)  ! [v0] :  ~ (q(v0) = 0)
% 55.66/16.57  							|
% 55.66/16.57  							+-Applying beta-rule and splitting (1498), into two cases.
% 55.66/16.57  							|-Branch one:
% 55.66/16.57  							| (1509) ((all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))
% 55.66/16.57  							|
% 55.66/16.57  								| Applying alpha-rule on (1509) yields:
% 55.66/16.57  								| (1510) (all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))
% 55.66/16.57  								| (1511) (s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))))
% 55.66/16.57  								|
% 55.66/16.57  								+-Applying beta-rule and splitting (1510), into two cases.
% 55.66/16.57  								|-Branch one:
% 55.66/16.57  								| (1519) all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 55.66/16.57  								|
% 55.66/16.57  									| Applying alpha-rule on (1519) yields:
% 55.66/16.57  									| (74) all_0_14_14 = 0
% 55.66/16.57  									| (1521) s(all_0_15_15) = 0
% 55.66/16.57  									| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 55.66/16.57  									|
% 55.66/16.57  									+-Applying beta-rule and splitting (1511), into two cases.
% 55.66/16.57  									|-Branch one:
% 55.66/16.57  									| (1512) s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 55.66/16.57  									|
% 55.66/16.57  										| Applying alpha-rule on (1512) yields:
% 55.66/16.57  										| (1513) s(all_0_17_17) = all_0_16_16
% 55.66/16.57  										| (1514)  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 55.66/16.57  										| (1515)  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0))
% 55.66/16.57  										| (1516) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 55.66/16.57  										|
% 55.66/16.57  										| Instantiating formula (1514) with all_0_8_8, all_0_9_9 and discharging atoms s(all_0_9_9) = all_0_8_8, yields:
% 55.66/16.57  										| (9227)  ~ (all_0_16_16 = 0) | all_0_8_8 = 0
% 55.66/16.57  										|
% 55.66/16.57  										| Instantiating formula (1515) with all_0_15_15 and discharging atoms s(all_0_15_15) = 0, yields:
% 55.66/16.57  										| (42) all_0_16_16 = 0
% 55.66/16.57  										|
% 55.66/16.57  										+-Applying beta-rule and splitting (9227), into two cases.
% 55.66/16.57  										|-Branch one:
% 55.66/16.57  										| (71)  ~ (all_0_16_16 = 0)
% 55.66/16.57  										|
% 55.66/16.57  											| Equations (42) can reduce 71 to:
% 55.66/16.57  											| (59) $false
% 55.66/16.57  											|
% 55.66/16.57  											|-The branch is then unsatisfiable
% 55.66/16.57  										|-Branch two:
% 55.66/16.57  										| (42) all_0_16_16 = 0
% 55.66/16.57  										| (120) all_0_8_8 = 0
% 55.66/16.57  										|
% 55.66/16.57  											| Equations (120) can reduce 55 to:
% 55.66/16.57  											| (59) $false
% 55.66/16.57  											|
% 55.66/16.57  											|-The branch is then unsatisfiable
% 55.66/16.57  									|-Branch two:
% 55.66/16.57  									| (1545)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))
% 55.66/16.57  									|
% 55.66/16.57  										| Applying alpha-rule on (1545) yields:
% 55.66/16.57  										| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 55.66/16.57  										| (1547) (all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))
% 55.66/16.57  										|
% 55.66/16.57  										+-Applying beta-rule and splitting (1547), into two cases.
% 55.66/16.57  										|-Branch one:
% 55.66/16.57  										| (1563) all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 55.66/16.57  										|
% 55.66/16.57  											| Applying alpha-rule on (1563) yields:
% 55.66/16.57  											| (81) all_0_20_20 = 0
% 55.66/16.57  											| (1565) p(all_0_21_21) = 0
% 55.66/16.57  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 55.66/16.57  											|
% 55.66/16.57  											| Instantiating formula (5867) with 0, all_0_21_21 and discharging atoms p(all_0_21_21) = 0, yields:
% 55.66/16.57  											| (5930)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & p(v0) = v1)
% 55.66/16.57  											|
% 55.66/16.57  											| Instantiating (5930) with all_392_0_5758, all_392_1_5759 yields:
% 55.66/16.58  											| (10223)  ~ (all_392_0_5758 = 0) & p(all_392_1_5759) = all_392_0_5758
% 55.66/16.58  											|
% 55.66/16.58  											| Applying alpha-rule on (10223) yields:
% 55.66/16.58  											| (10224)  ~ (all_392_0_5758 = 0)
% 55.66/16.58  											| (10225) p(all_392_1_5759) = all_392_0_5758
% 55.66/16.58  											|
% 55.66/16.58  											| Instantiating formula (61) with all_392_0_5758, all_392_1_5759 and discharging atoms p(all_392_1_5759) = all_392_0_5758, yields:
% 55.66/16.58  											| (10226) all_392_0_5758 = 0
% 55.66/16.58  											|
% 55.66/16.58  											| Equations (10226) can reduce 10224 to:
% 55.66/16.58  											| (59) $false
% 55.66/16.58  											|
% 55.66/16.58  											|-The branch is then unsatisfiable
% 55.66/16.58  										|-Branch two:
% 55.66/16.58  										| (1573)  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)
% 55.66/16.58  										|
% 55.66/16.58  											| Applying alpha-rule on (1573) yields:
% 55.66/16.58  											| (34)  ~ (all_0_20_20 = 0)
% 55.66/16.58  											| (1528) q(all_0_21_21) = all_0_20_20
% 55.66/16.58  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 55.66/16.58  											|
% 55.66/16.58  											| Instantiating formula (717) with all_0_20_20, all_0_21_21 and discharging atoms q(all_0_21_21) = all_0_20_20, yields:
% 55.66/16.58  											| (2420)  ? [v0] :  ? [v1] : (( ~ (all_0_20_20 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_0_20_20 = 0 | (v1 = 0 & q(v0) = 0)))
% 55.66/16.58  											|
% 55.66/16.58  											| Instantiating (2420) with all_392_0_5766, all_392_1_5767 yields:
% 55.66/16.58  											| (10233) ( ~ (all_0_20_20 = 0) | ( ~ (all_392_0_5766 = 0) & q(all_392_1_5767) = all_392_0_5766)) & (all_0_20_20 = 0 | (all_392_0_5766 = 0 & q(all_392_1_5767) = 0))
% 55.66/16.58  											|
% 55.66/16.58  											| Applying alpha-rule on (10233) yields:
% 55.66/16.58  											| (10234)  ~ (all_0_20_20 = 0) | ( ~ (all_392_0_5766 = 0) & q(all_392_1_5767) = all_392_0_5766)
% 55.66/16.58  											| (10235) all_0_20_20 = 0 | (all_392_0_5766 = 0 & q(all_392_1_5767) = 0)
% 55.66/16.58  											|
% 55.66/16.58  											+-Applying beta-rule and splitting (10235), into two cases.
% 55.66/16.58  											|-Branch one:
% 55.66/16.58  											| (81) all_0_20_20 = 0
% 55.66/16.58  											|
% 55.66/16.58  												| Equations (81) can reduce 34 to:
% 55.66/16.58  												| (59) $false
% 55.66/16.58  												|
% 55.66/16.58  												|-The branch is then unsatisfiable
% 55.66/16.58  											|-Branch two:
% 55.66/16.58  											| (34)  ~ (all_0_20_20 = 0)
% 55.66/16.58  											| (10239) all_392_0_5766 = 0 & q(all_392_1_5767) = 0
% 55.66/16.58  											|
% 55.66/16.58  												| Applying alpha-rule on (10239) yields:
% 55.66/16.58  												| (10240) all_392_0_5766 = 0
% 55.66/16.58  												| (10241) q(all_392_1_5767) = 0
% 55.66/16.58  												|
% 55.66/16.58  												| Instantiating formula (212) with all_392_1_5767 and discharging atoms q(all_392_1_5767) = 0, yields:
% 55.66/16.58  												| (79) $false
% 55.66/16.58  												|
% 55.66/16.58  												|-The branch is then unsatisfiable
% 55.66/16.58  								|-Branch two:
% 55.66/16.58  								| (1540)  ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0)
% 55.66/16.58  								|
% 55.66/16.58  									| Applying alpha-rule on (1540) yields:
% 55.66/16.58  									| (67)  ~ (all_0_14_14 = 0)
% 55.66/16.58  									| (475) p(all_0_15_15) = all_0_14_14
% 55.66/16.58  									| (62)  ! [v0] :  ~ (s(v0) = 0)
% 55.66/16.58  									|
% 55.66/16.58  									+-Applying beta-rule and splitting (1511), into two cases.
% 55.66/16.58  									|-Branch one:
% 55.66/16.58  									| (1512) s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 55.66/16.58  									|
% 55.66/16.58  										| Applying alpha-rule on (1512) yields:
% 55.66/16.58  										| (1513) s(all_0_17_17) = all_0_16_16
% 55.66/16.58  										| (1514)  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 55.66/16.58  										| (1515)  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0))
% 55.66/16.58  										| (1516) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 55.66/16.58  										|
% 55.66/16.58  										| Instantiating formula (5867) with all_0_14_14, all_0_15_15 and discharging atoms p(all_0_15_15) = all_0_14_14, yields:
% 55.66/16.58  										| (6381)  ? [v0] :  ? [v1] : (( ~ (all_0_14_14 = 0) | ( ~ (v1 = 0) & p(v0) = v1)) & (all_0_14_14 = 0 | (v1 = 0 & p(v0) = 0)))
% 55.66/16.58  										|
% 55.66/16.58  										| Instantiating (6381) with all_279_0_5774, all_279_1_5775 yields:
% 55.66/16.58  										| (10253) ( ~ (all_0_14_14 = 0) | ( ~ (all_279_0_5774 = 0) & p(all_279_1_5775) = all_279_0_5774)) & (all_0_14_14 = 0 | (all_279_0_5774 = 0 & p(all_279_1_5775) = 0))
% 55.66/16.58  										|
% 55.66/16.58  										| Applying alpha-rule on (10253) yields:
% 55.66/16.58  										| (10254)  ~ (all_0_14_14 = 0) | ( ~ (all_279_0_5774 = 0) & p(all_279_1_5775) = all_279_0_5774)
% 55.66/16.58  										| (10255) all_0_14_14 = 0 | (all_279_0_5774 = 0 & p(all_279_1_5775) = 0)
% 55.66/16.58  										|
% 55.66/16.58  										+-Applying beta-rule and splitting (10255), into two cases.
% 55.66/16.58  										|-Branch one:
% 55.66/16.58  										| (74) all_0_14_14 = 0
% 55.66/16.58  										|
% 55.66/16.58  											| Equations (74) can reduce 67 to:
% 55.66/16.58  											| (59) $false
% 55.66/16.58  											|
% 55.66/16.58  											|-The branch is then unsatisfiable
% 55.66/16.58  										|-Branch two:
% 55.66/16.58  										| (67)  ~ (all_0_14_14 = 0)
% 55.66/16.58  										| (10259) all_279_0_5774 = 0 & p(all_279_1_5775) = 0
% 55.66/16.58  										|
% 55.66/16.58  											| Applying alpha-rule on (10259) yields:
% 55.66/16.59  											| (10260) all_279_0_5774 = 0
% 55.66/16.59  											| (10261) p(all_279_1_5775) = 0
% 55.66/16.59  											|
% 55.66/16.59  											+-Applying beta-rule and splitting (1516), into two cases.
% 55.66/16.59  											|-Branch one:
% 55.66/16.59  											| (1525) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0
% 55.66/16.59  											|
% 55.66/16.59  												| Applying alpha-rule on (1525) yields:
% 55.66/16.59  												| (33) all_0_18_18 = 0
% 55.66/16.59  												| (34)  ~ (all_0_20_20 = 0)
% 55.66/16.59  												| (1528) q(all_0_21_21) = all_0_20_20
% 55.66/16.59  												| (1529) p(all_0_19_19) = 0
% 55.66/16.59  												|
% 55.66/16.59  												| Instantiating formula (717) with all_0_20_20, all_0_21_21 and discharging atoms q(all_0_21_21) = all_0_20_20, yields:
% 55.66/16.59  												| (2420)  ? [v0] :  ? [v1] : (( ~ (all_0_20_20 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_0_20_20 = 0 | (v1 = 0 & q(v0) = 0)))
% 55.66/16.59  												|
% 55.66/16.59  												| Instantiating (2420) with all_400_0_5822, all_400_1_5823 yields:
% 55.66/16.59  												| (10268) ( ~ (all_0_20_20 = 0) | ( ~ (all_400_0_5822 = 0) & q(all_400_1_5823) = all_400_0_5822)) & (all_0_20_20 = 0 | (all_400_0_5822 = 0 & q(all_400_1_5823) = 0))
% 55.66/16.59  												|
% 55.66/16.59  												| Applying alpha-rule on (10268) yields:
% 55.66/16.59  												| (10269)  ~ (all_0_20_20 = 0) | ( ~ (all_400_0_5822 = 0) & q(all_400_1_5823) = all_400_0_5822)
% 55.66/16.59  												| (10270) all_0_20_20 = 0 | (all_400_0_5822 = 0 & q(all_400_1_5823) = 0)
% 55.66/16.59  												|
% 55.66/16.59  												+-Applying beta-rule and splitting (10270), into two cases.
% 55.66/16.59  												|-Branch one:
% 55.66/16.59  												| (81) all_0_20_20 = 0
% 55.66/16.59  												|
% 55.66/16.59  													| Equations (81) can reduce 34 to:
% 55.66/16.59  													| (59) $false
% 55.66/16.59  													|
% 55.66/16.59  													|-The branch is then unsatisfiable
% 55.66/16.59  												|-Branch two:
% 55.66/16.59  												| (34)  ~ (all_0_20_20 = 0)
% 55.66/16.59  												| (10274) all_400_0_5822 = 0 & q(all_400_1_5823) = 0
% 55.66/16.59  												|
% 55.66/16.59  													| Applying alpha-rule on (10274) yields:
% 55.66/16.59  													| (10275) all_400_0_5822 = 0
% 55.66/16.59  													| (10276) q(all_400_1_5823) = 0
% 55.66/16.59  													|
% 55.66/16.59  													| Instantiating formula (212) with all_400_1_5823 and discharging atoms q(all_400_1_5823) = 0, yields:
% 55.66/16.59  													| (79) $false
% 55.66/16.59  													|
% 55.66/16.59  													|-The branch is then unsatisfiable
% 55.66/16.59  											|-Branch two:
% 55.66/16.59  											| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 55.66/16.59  											|
% 55.66/16.59  												| Applying alpha-rule on (76) yields:
% 55.66/16.59  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 55.66/16.59  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 55.66/16.59  												|
% 55.66/16.59  												| Instantiating formula (78) with all_279_1_5775 and discharging atoms p(all_279_1_5775) = 0, yields:
% 55.66/16.59  												| (79) $false
% 55.66/16.59  												|
% 55.66/16.59  												|-The branch is then unsatisfiable
% 55.66/16.59  									|-Branch two:
% 55.66/16.59  									| (1545)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))
% 55.66/16.59  									|
% 55.66/16.59  										| Applying alpha-rule on (1545) yields:
% 55.66/16.59  										| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 55.66/16.59  										| (1547) (all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))
% 55.66/16.59  										|
% 55.66/16.59  										| Instantiating formula (84) with all_0_8_8, all_0_9_9 and discharging atoms s(all_0_9_9) = all_0_8_8, yields:
% 55.66/16.59  										| (9262)  ? [v0] :  ? [v1] : (( ~ (all_0_8_8 = 0) | ( ~ (v1 = 0) & s(v0) = v1)) & (all_0_8_8 = 0 | (v1 = 0 & s(v0) = 0)))
% 55.66/16.59  										|
% 55.66/16.59  										| Instantiating (9262) with all_269_0_5824, all_269_1_5825 yields:
% 55.66/16.59  										| (10286) ( ~ (all_0_8_8 = 0) | ( ~ (all_269_0_5824 = 0) & s(all_269_1_5825) = all_269_0_5824)) & (all_0_8_8 = 0 | (all_269_0_5824 = 0 & s(all_269_1_5825) = 0))
% 55.66/16.59  										|
% 55.95/16.59  										| Applying alpha-rule on (10286) yields:
% 55.95/16.59  										| (10287)  ~ (all_0_8_8 = 0) | ( ~ (all_269_0_5824 = 0) & s(all_269_1_5825) = all_269_0_5824)
% 55.95/16.59  										| (10288) all_0_8_8 = 0 | (all_269_0_5824 = 0 & s(all_269_1_5825) = 0)
% 55.95/16.59  										|
% 55.95/16.59  										+-Applying beta-rule and splitting (10288), into two cases.
% 55.95/16.59  										|-Branch one:
% 55.95/16.59  										| (120) all_0_8_8 = 0
% 55.95/16.59  										|
% 55.95/16.59  											| Equations (120) can reduce 55 to:
% 55.95/16.59  											| (59) $false
% 55.95/16.59  											|
% 55.95/16.59  											|-The branch is then unsatisfiable
% 55.95/16.59  										|-Branch two:
% 55.95/16.59  										| (55)  ~ (all_0_8_8 = 0)
% 55.95/16.59  										| (10292) all_269_0_5824 = 0 & s(all_269_1_5825) = 0
% 55.95/16.59  										|
% 55.95/16.59  											| Applying alpha-rule on (10292) yields:
% 55.95/16.59  											| (10293) all_269_0_5824 = 0
% 55.95/16.59  											| (10294) s(all_269_1_5825) = 0
% 55.95/16.59  											|
% 55.95/16.59  											| Instantiating formula (62) with all_269_1_5825 and discharging atoms s(all_269_1_5825) = 0, yields:
% 55.95/16.59  											| (79) $false
% 55.95/16.59  											|
% 55.95/16.59  											|-The branch is then unsatisfiable
% 55.95/16.59  							|-Branch two:
% 55.95/16.60  							| (1583) ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))
% 55.95/16.60  							|
% 55.95/16.60  								| Applying alpha-rule on (1583) yields:
% 55.95/16.60  								| (1584) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))
% 55.95/16.60  								| (1585) (s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))
% 55.95/16.60  								|
% 55.95/16.60  								+-Applying beta-rule and splitting (1584), into two cases.
% 55.95/16.60  								|-Branch one:
% 55.95/16.60  								| (1593) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20
% 55.95/16.60  								|
% 55.95/16.60  									| Applying alpha-rule on (1593) yields:
% 55.95/16.60  									| (33) all_0_18_18 = 0
% 55.95/16.60  									| (34)  ~ (all_0_20_20 = 0)
% 55.95/16.60  									| (1596) s(all_0_19_19) = 0
% 55.95/16.60  									| (1597) p(all_0_21_21) = all_0_20_20
% 55.95/16.60  									|
% 55.95/16.60  									+-Applying beta-rule and splitting (1585), into two cases.
% 55.95/16.60  									|-Branch one:
% 55.95/16.60  									| (1586) s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))
% 55.95/16.60  									|
% 55.95/16.60  										| Applying alpha-rule on (1586) yields:
% 55.95/16.60  										| (1587) s(all_0_15_15) = all_0_14_14
% 55.95/16.60  										| (1588)  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 55.95/16.60  										| (1589)  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0))
% 55.95/16.60  										| (1590) (all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0))
% 55.95/16.60  										|
% 55.95/16.60  										| Instantiating formula (1588) with all_0_8_8, all_0_9_9 and discharging atoms s(all_0_9_9) = all_0_8_8, yields:
% 55.95/16.60  										| (9665)  ~ (all_0_14_14 = 0) | all_0_8_8 = 0
% 55.95/16.60  										|
% 55.95/16.60  										| Instantiating formula (1589) with all_0_19_19 and discharging atoms s(all_0_19_19) = 0, yields:
% 55.95/16.60  										| (74) all_0_14_14 = 0
% 55.95/16.60  										|
% 55.95/16.60  										+-Applying beta-rule and splitting (9665), into two cases.
% 55.95/16.60  										|-Branch one:
% 55.95/16.60  										| (67)  ~ (all_0_14_14 = 0)
% 55.95/16.60  										|
% 55.95/16.60  											| Equations (74) can reduce 67 to:
% 55.95/16.60  											| (59) $false
% 55.95/16.60  											|
% 55.95/16.60  											|-The branch is then unsatisfiable
% 55.95/16.60  										|-Branch two:
% 55.95/16.60  										| (74) all_0_14_14 = 0
% 55.95/16.60  										| (120) all_0_8_8 = 0
% 55.95/16.60  										|
% 55.95/16.60  											| Equations (120) can reduce 55 to:
% 55.95/16.60  											| (59) $false
% 55.95/16.60  											|
% 55.95/16.60  											|-The branch is then unsatisfiable
% 55.95/16.60  									|-Branch two:
% 55.95/16.60  									| (1623)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 55.95/16.60  									|
% 55.95/16.60  										| Applying alpha-rule on (1623) yields:
% 55.95/16.60  										| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 55.95/16.60  										| (1625) (all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 55.95/16.60  										|
% 55.95/16.60  										| Instantiating formula (5867) with all_0_20_20, all_0_21_21 and discharging atoms p(all_0_21_21) = all_0_20_20, yields:
% 55.95/16.60  										| (7561)  ? [v0] :  ? [v1] : (( ~ (all_0_20_20 = 0) | ( ~ (v1 = 0) & p(v0) = v1)) & (all_0_20_20 = 0 | (v1 = 0 & p(v0) = 0)))
% 55.95/16.60  										|
% 55.95/16.60  										| Instantiating (7561) with all_277_0_5868, all_277_1_5869 yields:
% 55.95/16.60  										| (10320) ( ~ (all_0_20_20 = 0) | ( ~ (all_277_0_5868 = 0) & p(all_277_1_5869) = all_277_0_5868)) & (all_0_20_20 = 0 | (all_277_0_5868 = 0 & p(all_277_1_5869) = 0))
% 55.95/16.60  										|
% 55.95/16.60  										| Applying alpha-rule on (10320) yields:
% 55.95/16.60  										| (10321)  ~ (all_0_20_20 = 0) | ( ~ (all_277_0_5868 = 0) & p(all_277_1_5869) = all_277_0_5868)
% 55.95/16.60  										| (10322) all_0_20_20 = 0 | (all_277_0_5868 = 0 & p(all_277_1_5869) = 0)
% 55.95/16.60  										|
% 55.95/16.60  										+-Applying beta-rule and splitting (10322), into two cases.
% 55.95/16.60  										|-Branch one:
% 55.95/16.60  										| (81) all_0_20_20 = 0
% 55.95/16.60  										|
% 55.95/16.60  											| Equations (81) can reduce 34 to:
% 55.95/16.60  											| (59) $false
% 55.95/16.60  											|
% 55.95/16.60  											|-The branch is then unsatisfiable
% 55.95/16.60  										|-Branch two:
% 55.95/16.60  										| (34)  ~ (all_0_20_20 = 0)
% 55.95/16.60  										| (10326) all_277_0_5868 = 0 & p(all_277_1_5869) = 0
% 55.95/16.60  										|
% 55.95/16.60  											| Applying alpha-rule on (10326) yields:
% 55.95/16.60  											| (10327) all_277_0_5868 = 0
% 55.95/16.60  											| (10328) p(all_277_1_5869) = 0
% 55.95/16.60  											|
% 55.95/16.60  											+-Applying beta-rule and splitting (1625), into two cases.
% 55.95/16.60  											|-Branch one:
% 55.95/16.60  											| (1642) all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0
% 55.95/16.60  											|
% 55.95/16.60  												| Applying alpha-rule on (1642) yields:
% 55.95/16.60  												| (74) all_0_14_14 = 0
% 55.95/16.60  												| (71)  ~ (all_0_16_16 = 0)
% 55.95/16.60  												| (23) q(all_0_17_17) = all_0_16_16
% 55.95/16.60  												| (105) p(all_0_15_15) = 0
% 55.95/16.60  												|
% 55.95/16.60  												| Instantiating formula (717) with all_0_16_16, all_0_17_17 and discharging atoms q(all_0_17_17) = all_0_16_16, yields:
% 55.95/16.60  												| (2513)  ? [v0] :  ? [v1] : (( ~ (all_0_16_16 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_0_16_16 = 0 | (v1 = 0 & q(v0) = 0)))
% 55.95/16.60  												|
% 55.95/16.60  												| Instantiating (2513) with all_399_0_5918, all_399_1_5919 yields:
% 55.95/16.60  												| (10335) ( ~ (all_0_16_16 = 0) | ( ~ (all_399_0_5918 = 0) & q(all_399_1_5919) = all_399_0_5918)) & (all_0_16_16 = 0 | (all_399_0_5918 = 0 & q(all_399_1_5919) = 0))
% 55.95/16.60  												|
% 55.95/16.60  												| Applying alpha-rule on (10335) yields:
% 55.95/16.60  												| (10336)  ~ (all_0_16_16 = 0) | ( ~ (all_399_0_5918 = 0) & q(all_399_1_5919) = all_399_0_5918)
% 55.95/16.60  												| (10337) all_0_16_16 = 0 | (all_399_0_5918 = 0 & q(all_399_1_5919) = 0)
% 55.95/16.60  												|
% 55.95/16.60  												+-Applying beta-rule and splitting (10337), into two cases.
% 55.95/16.60  												|-Branch one:
% 55.95/16.60  												| (42) all_0_16_16 = 0
% 55.95/16.60  												|
% 55.95/16.60  													| Equations (42) can reduce 71 to:
% 55.95/16.60  													| (59) $false
% 55.95/16.60  													|
% 55.95/16.60  													|-The branch is then unsatisfiable
% 55.95/16.60  												|-Branch two:
% 55.95/16.60  												| (71)  ~ (all_0_16_16 = 0)
% 55.95/16.60  												| (10341) all_399_0_5918 = 0 & q(all_399_1_5919) = 0
% 55.95/16.60  												|
% 55.95/16.60  													| Applying alpha-rule on (10341) yields:
% 55.95/16.61  													| (10342) all_399_0_5918 = 0
% 55.95/16.61  													| (10343) q(all_399_1_5919) = 0
% 55.95/16.61  													|
% 55.95/16.61  													| Instantiating formula (212) with all_399_1_5919 and discharging atoms q(all_399_1_5919) = 0, yields:
% 55.95/16.61  													| (79) $false
% 55.95/16.61  													|
% 55.95/16.61  													|-The branch is then unsatisfiable
% 55.95/16.61  											|-Branch two:
% 55.95/16.61  											| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 55.95/16.61  											|
% 55.95/16.61  												| Applying alpha-rule on (76) yields:
% 55.95/16.61  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 55.95/16.61  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 55.95/16.61  												|
% 55.95/16.61  												| Instantiating formula (78) with all_277_1_5869 and discharging atoms p(all_277_1_5869) = 0, yields:
% 55.95/16.61  												| (79) $false
% 55.95/16.61  												|
% 55.95/16.61  												|-The branch is then unsatisfiable
% 55.95/16.61  								|-Branch two:
% 55.95/16.61  								| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 55.95/16.61  								|
% 55.95/16.61  									| Applying alpha-rule on (60) yields:
% 55.95/16.61  									| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 55.95/16.61  									| (62)  ! [v0] :  ~ (s(v0) = 0)
% 55.95/16.61  									|
% 55.95/16.61  									+-Applying beta-rule and splitting (1585), into two cases.
% 55.95/16.61  									|-Branch one:
% 55.95/16.61  									| (1586) s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))
% 55.95/16.61  									|
% 55.95/16.61  										| Applying alpha-rule on (1586) yields:
% 55.95/16.61  										| (1587) s(all_0_15_15) = all_0_14_14
% 55.95/16.61  										| (1588)  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 55.95/16.61  										| (1589)  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0))
% 55.95/16.61  										| (1590) (all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0))
% 55.95/16.61  										|
% 55.95/16.61  										+-Applying beta-rule and splitting (1590), into two cases.
% 55.95/16.61  										|-Branch one:
% 55.95/16.61  										| (1599) all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 55.95/16.61  										|
% 55.95/16.61  											| Applying alpha-rule on (1599) yields:
% 55.95/16.61  											| (42) all_0_16_16 = 0
% 55.95/16.61  											| (1601) p(all_0_17_17) = 0
% 55.95/16.61  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 55.95/16.61  											|
% 55.95/16.61  											| Instantiating formula (5867) with 0, all_0_17_17 and discharging atoms p(all_0_17_17) = 0, yields:
% 55.95/16.61  											| (5930)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & p(v0) = v1)
% 55.95/16.61  											|
% 55.95/16.61  											| Instantiating (5930) with all_391_0_5964, all_391_1_5965 yields:
% 55.95/16.61  											| (10362)  ~ (all_391_0_5964 = 0) & p(all_391_1_5965) = all_391_0_5964
% 55.95/16.61  											|
% 55.95/16.61  											| Applying alpha-rule on (10362) yields:
% 55.98/16.61  											| (10363)  ~ (all_391_0_5964 = 0)
% 55.98/16.61  											| (10364) p(all_391_1_5965) = all_391_0_5964
% 55.98/16.61  											|
% 55.98/16.61  											| Instantiating formula (61) with all_391_0_5964, all_391_1_5965 and discharging atoms p(all_391_1_5965) = all_391_0_5964, yields:
% 55.98/16.61  											| (10365) all_391_0_5964 = 0
% 55.98/16.61  											|
% 55.98/16.61  											| Equations (10365) can reduce 10363 to:
% 55.98/16.61  											| (59) $false
% 55.98/16.61  											|
% 55.98/16.61  											|-The branch is then unsatisfiable
% 55.98/16.61  										|-Branch two:
% 55.98/16.61  										| (1609)  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)
% 55.98/16.61  										|
% 55.98/16.61  											| Applying alpha-rule on (1609) yields:
% 55.98/16.61  											| (71)  ~ (all_0_16_16 = 0)
% 55.98/16.61  											| (23) q(all_0_17_17) = all_0_16_16
% 55.98/16.61  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 55.98/16.61  											|
% 55.98/16.61  											| Instantiating formula (717) with all_0_16_16, all_0_17_17 and discharging atoms q(all_0_17_17) = all_0_16_16, yields:
% 55.98/16.61  											| (2513)  ? [v0] :  ? [v1] : (( ~ (all_0_16_16 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_0_16_16 = 0 | (v1 = 0 & q(v0) = 0)))
% 55.98/16.61  											|
% 55.98/16.61  											| Instantiating (2513) with all_391_0_5970, all_391_1_5971 yields:
% 55.98/16.61  											| (10372) ( ~ (all_0_16_16 = 0) | ( ~ (all_391_0_5970 = 0) & q(all_391_1_5971) = all_391_0_5970)) & (all_0_16_16 = 0 | (all_391_0_5970 = 0 & q(all_391_1_5971) = 0))
% 55.98/16.61  											|
% 55.98/16.61  											| Applying alpha-rule on (10372) yields:
% 55.98/16.61  											| (10373)  ~ (all_0_16_16 = 0) | ( ~ (all_391_0_5970 = 0) & q(all_391_1_5971) = all_391_0_5970)
% 55.98/16.61  											| (10374) all_0_16_16 = 0 | (all_391_0_5970 = 0 & q(all_391_1_5971) = 0)
% 55.98/16.61  											|
% 55.98/16.61  											+-Applying beta-rule and splitting (10374), into two cases.
% 55.98/16.61  											|-Branch one:
% 55.98/16.61  											| (42) all_0_16_16 = 0
% 55.98/16.61  											|
% 55.98/16.61  												| Equations (42) can reduce 71 to:
% 55.98/16.61  												| (59) $false
% 55.98/16.61  												|
% 55.98/16.61  												|-The branch is then unsatisfiable
% 55.98/16.61  											|-Branch two:
% 55.98/16.61  											| (71)  ~ (all_0_16_16 = 0)
% 55.98/16.61  											| (10378) all_391_0_5970 = 0 & q(all_391_1_5971) = 0
% 55.98/16.61  											|
% 55.98/16.61  												| Applying alpha-rule on (10378) yields:
% 55.98/16.61  												| (10379) all_391_0_5970 = 0
% 55.98/16.61  												| (10380) q(all_391_1_5971) = 0
% 55.98/16.61  												|
% 55.98/16.61  												| Instantiating formula (212) with all_391_1_5971 and discharging atoms q(all_391_1_5971) = 0, yields:
% 55.98/16.61  												| (79) $false
% 55.98/16.61  												|
% 55.98/16.61  												|-The branch is then unsatisfiable
% 55.98/16.61  									|-Branch two:
% 55.98/16.61  									| (1623)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 55.98/16.61  									|
% 55.98/16.61  										| Applying alpha-rule on (1623) yields:
% 55.98/16.61  										| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 55.98/16.61  										| (1625) (all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 55.98/16.61  										|
% 55.98/16.61  										| Instantiating formula (84) with all_0_8_8, all_0_9_9 and discharging atoms s(all_0_9_9) = all_0_8_8, yields:
% 55.98/16.61  										| (9262)  ? [v0] :  ? [v1] : (( ~ (all_0_8_8 = 0) | ( ~ (v1 = 0) & s(v0) = v1)) & (all_0_8_8 = 0 | (v1 = 0 & s(v0) = 0)))
% 55.98/16.61  										|
% 55.98/16.62  										| Instantiating (9262) with all_266_0_5976, all_266_1_5977 yields:
% 55.98/16.62  										| (10386) ( ~ (all_0_8_8 = 0) | ( ~ (all_266_0_5976 = 0) & s(all_266_1_5977) = all_266_0_5976)) & (all_0_8_8 = 0 | (all_266_0_5976 = 0 & s(all_266_1_5977) = 0))
% 55.98/16.62  										|
% 55.98/16.62  										| Applying alpha-rule on (10386) yields:
% 55.98/16.62  										| (10387)  ~ (all_0_8_8 = 0) | ( ~ (all_266_0_5976 = 0) & s(all_266_1_5977) = all_266_0_5976)
% 55.98/16.62  										| (10388) all_0_8_8 = 0 | (all_266_0_5976 = 0 & s(all_266_1_5977) = 0)
% 55.98/16.62  										|
% 55.98/16.62  										+-Applying beta-rule and splitting (10388), into two cases.
% 55.98/16.62  										|-Branch one:
% 55.98/16.62  										| (120) all_0_8_8 = 0
% 55.98/16.62  										|
% 55.98/16.62  											| Equations (120) can reduce 55 to:
% 55.98/16.62  											| (59) $false
% 55.98/16.62  											|
% 55.98/16.62  											|-The branch is then unsatisfiable
% 55.98/16.62  										|-Branch two:
% 55.98/16.62  										| (55)  ~ (all_0_8_8 = 0)
% 55.98/16.62  										| (10392) all_266_0_5976 = 0 & s(all_266_1_5977) = 0
% 55.98/16.62  										|
% 55.98/16.62  											| Applying alpha-rule on (10392) yields:
% 55.98/16.62  											| (10393) all_266_0_5976 = 0
% 55.98/16.62  											| (10394) s(all_266_1_5977) = 0
% 55.98/16.62  											|
% 55.98/16.62  											| Instantiating formula (62) with all_266_1_5977 and discharging atoms s(all_266_1_5977) = 0, yields:
% 55.98/16.62  											| (79) $false
% 55.98/16.62  											|
% 55.98/16.62  											|-The branch is then unsatisfiable
% 55.98/16.62  					|-Branch two:
% 55.98/16.62  					| (219)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)
% 55.98/16.62  					|
% 55.98/16.62  						| Applying alpha-rule on (219) yields:
% 55.98/16.62  						| (220)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))
% 55.98/16.62  						| (221)  ! [v0] :  ~ (r(v0) = 0)
% 55.98/16.62  						|
% 55.98/16.62  						+-Applying beta-rule and splitting (9007), into two cases.
% 55.98/16.62  						|-Branch one:
% 55.98/16.62  						| (9027) all_0_4_4 = 0 & q(all_0_5_5) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 55.98/16.62  						|
% 55.98/16.62  							| Applying alpha-rule on (9027) yields:
% 55.98/16.62  							| (37) all_0_4_4 = 0
% 55.98/16.62  							| (9029) q(all_0_5_5) = 0
% 55.98/16.62  							| (41)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 55.98/16.62  							|
% 55.98/16.62  							| Instantiating formula (717) with 0, all_0_5_5 and discharging atoms q(all_0_5_5) = 0, yields:
% 55.98/16.62  							| (733)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & q(v0) = v1)
% 55.98/16.62  							|
% 55.98/16.62  							| Instantiating (733) with all_41_0_5978, all_41_1_5979 yields:
% 55.98/16.62  							| (10404)  ~ (all_41_0_5978 = 0) & q(all_41_1_5979) = all_41_0_5978
% 55.98/16.62  							|
% 55.98/16.62  							| Applying alpha-rule on (10404) yields:
% 55.98/16.62  							| (10405)  ~ (all_41_0_5978 = 0)
% 55.98/16.62  							| (10406) q(all_41_1_5979) = all_41_0_5978
% 55.98/16.62  							|
% 55.98/16.62  							| Instantiating formula (717) with all_41_0_5978, all_41_1_5979 and discharging atoms q(all_41_1_5979) = all_41_0_5978, yields:
% 55.98/16.62  							| (10407)  ? [v0] :  ? [v1] : (( ~ (all_41_0_5978 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_41_0_5978 = 0 | (v1 = 0 & q(v0) = 0)))
% 55.98/16.62  							|
% 55.98/16.62  							| Instantiating (10407) with all_48_0_5980, all_48_1_5981 yields:
% 55.98/16.62  							| (10408) ( ~ (all_41_0_5978 = 0) | ( ~ (all_48_0_5980 = 0) & q(all_48_1_5981) = all_48_0_5980)) & (all_41_0_5978 = 0 | (all_48_0_5980 = 0 & q(all_48_1_5981) = 0))
% 55.98/16.62  							|
% 55.98/16.62  							| Applying alpha-rule on (10408) yields:
% 55.98/16.62  							| (10409)  ~ (all_41_0_5978 = 0) | ( ~ (all_48_0_5980 = 0) & q(all_48_1_5981) = all_48_0_5980)
% 55.98/16.62  							| (10410) all_41_0_5978 = 0 | (all_48_0_5980 = 0 & q(all_48_1_5981) = 0)
% 55.98/16.62  							|
% 55.98/16.62  							+-Applying beta-rule and splitting (1498), into two cases.
% 55.98/16.62  							|-Branch one:
% 55.98/16.62  							| (1509) ((all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))
% 55.98/16.62  							|
% 55.98/16.62  								| Applying alpha-rule on (1509) yields:
% 55.98/16.62  								| (1510) (all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))
% 55.98/16.62  								| (1511) (s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))))
% 55.98/16.63  								|
% 55.98/16.63  								+-Applying beta-rule and splitting (1511), into two cases.
% 55.98/16.63  								|-Branch one:
% 55.98/16.63  								| (1512) s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 55.98/16.63  								|
% 55.98/16.63  									| Applying alpha-rule on (1512) yields:
% 55.98/16.63  									| (1513) s(all_0_17_17) = all_0_16_16
% 55.98/16.63  									| (1514)  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 55.98/16.63  									| (1515)  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0))
% 55.98/16.63  									| (1516) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 55.98/16.63  									|
% 55.98/16.63  									+-Applying beta-rule and splitting (10410), into two cases.
% 55.98/16.63  									|-Branch one:
% 55.98/16.63  									| (10419) all_41_0_5978 = 0
% 55.98/16.63  									|
% 55.98/16.63  										| Equations (10419) can reduce 10405 to:
% 55.98/16.63  										| (59) $false
% 55.98/16.63  										|
% 55.98/16.63  										|-The branch is then unsatisfiable
% 55.98/16.63  									|-Branch two:
% 55.98/16.63  									| (10405)  ~ (all_41_0_5978 = 0)
% 55.98/16.63  									| (10422) all_48_0_5980 = 0 & q(all_48_1_5981) = 0
% 55.98/16.63  									|
% 55.98/16.63  										| Instantiating formula (220) with all_0_16_16, all_0_17_17 and discharging atoms s(all_0_17_17) = all_0_16_16, yields:
% 55.98/16.63  										| (42) all_0_16_16 = 0
% 55.98/16.63  										|
% 55.98/16.63  										| From (42) and (1513) follows:
% 55.98/16.63  										| (1518) s(all_0_17_17) = 0
% 55.98/16.63  										|
% 55.98/16.63  										+-Applying beta-rule and splitting (1510), into two cases.
% 55.98/16.63  										|-Branch one:
% 55.98/16.63  										| (1519) all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 55.98/16.63  										|
% 55.98/16.63  											| Applying alpha-rule on (1519) yields:
% 55.98/16.63  											| (74) all_0_14_14 = 0
% 55.98/16.63  											| (1521) s(all_0_15_15) = 0
% 55.98/16.63  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 55.98/16.63  											|
% 55.98/16.63  											+-Applying beta-rule and splitting (1516), into two cases.
% 55.98/16.63  											|-Branch one:
% 55.98/16.63  											| (1525) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0
% 55.98/16.63  											|
% 55.98/16.63  												| Applying alpha-rule on (1525) yields:
% 55.98/16.63  												| (33) all_0_18_18 = 0
% 55.98/16.63  												| (34)  ~ (all_0_20_20 = 0)
% 55.98/16.63  												| (1528) q(all_0_21_21) = all_0_20_20
% 55.98/16.63  												| (1529) p(all_0_19_19) = 0
% 55.98/16.63  												|
% 55.98/16.63  												| Instantiating formula (5867) with 0, all_0_19_19 and discharging atoms p(all_0_19_19) = 0, yields:
% 55.98/16.63  												| (5930)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & p(v0) = v1)
% 55.98/16.63  												|
% 55.98/16.63  												| Instantiating (5930) with all_105_0_5990, all_105_1_5991 yields:
% 55.98/16.63  												| (10435)  ~ (all_105_0_5990 = 0) & p(all_105_1_5991) = all_105_0_5990
% 55.98/16.63  												|
% 55.98/16.63  												| Applying alpha-rule on (10435) yields:
% 55.98/16.63  												| (10436)  ~ (all_105_0_5990 = 0)
% 55.98/16.63  												| (10437) p(all_105_1_5991) = all_105_0_5990
% 55.98/16.63  												|
% 55.98/16.63  												| Instantiating formula (61) with all_105_0_5990, all_105_1_5991 and discharging atoms p(all_105_1_5991) = all_105_0_5990, yields:
% 55.98/16.63  												| (10438) all_105_0_5990 = 0
% 55.98/16.63  												|
% 55.98/16.63  												| Equations (10438) can reduce 10436 to:
% 55.98/16.63  												| (59) $false
% 55.98/16.63  												|
% 55.98/16.63  												|-The branch is then unsatisfiable
% 55.98/16.63  											|-Branch two:
% 55.98/16.63  											| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 55.98/16.63  											|
% 55.98/16.63  												| Applying alpha-rule on (76) yields:
% 55.98/16.63  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 55.98/16.63  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 55.98/16.63  												|
% 55.98/16.63  												| Instantiating formula (77) with all_41_0_5978, all_41_1_5979 and discharging atoms q(all_41_1_5979) = all_41_0_5978, yields:
% 55.98/16.63  												| (10419) all_41_0_5978 = 0
% 55.98/16.63  												|
% 55.98/16.63  												| Equations (10419) can reduce 10405 to:
% 55.98/16.63  												| (59) $false
% 55.98/16.63  												|
% 55.98/16.63  												|-The branch is then unsatisfiable
% 55.98/16.63  										|-Branch two:
% 55.98/16.63  										| (1540)  ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0)
% 55.98/16.63  										|
% 55.98/16.63  											| Applying alpha-rule on (1540) yields:
% 55.98/16.63  											| (67)  ~ (all_0_14_14 = 0)
% 55.98/16.63  											| (475) p(all_0_15_15) = all_0_14_14
% 55.98/16.63  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 55.98/16.63  											|
% 55.98/16.63  											| Instantiating formula (62) with all_0_17_17 and discharging atoms s(all_0_17_17) = 0, yields:
% 55.98/16.63  											| (79) $false
% 55.98/16.63  											|
% 55.98/16.63  											|-The branch is then unsatisfiable
% 55.98/16.63  								|-Branch two:
% 55.98/16.63  								| (1545)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))
% 55.98/16.63  								|
% 55.98/16.63  									| Applying alpha-rule on (1545) yields:
% 55.98/16.63  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 55.98/16.63  									| (1547) (all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))
% 55.98/16.63  									|
% 55.98/16.63  									+-Applying beta-rule and splitting (1510), into two cases.
% 55.98/16.63  									|-Branch one:
% 55.98/16.63  									| (1519) all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 55.98/16.63  									|
% 55.98/16.63  										| Applying alpha-rule on (1519) yields:
% 55.98/16.63  										| (74) all_0_14_14 = 0
% 55.98/16.63  										| (1521) s(all_0_15_15) = 0
% 55.98/16.63  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 55.98/16.63  										|
% 55.98/16.63  										| Instantiating formula (84) with 0, all_0_15_15 and discharging atoms s(all_0_15_15) = 0, yields:
% 55.98/16.63  										| (278)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & s(v0) = v1)
% 55.98/16.63  										|
% 55.98/16.63  										| Instantiating (278) with all_68_0_5998, all_68_1_5999 yields:
% 55.98/16.63  										| (10458)  ~ (all_68_0_5998 = 0) & s(all_68_1_5999) = all_68_0_5998
% 55.98/16.63  										|
% 55.98/16.63  										| Applying alpha-rule on (10458) yields:
% 55.98/16.63  										| (10459)  ~ (all_68_0_5998 = 0)
% 55.98/16.63  										| (10460) s(all_68_1_5999) = all_68_0_5998
% 55.98/16.63  										|
% 55.98/16.63  										| Instantiating formula (220) with all_68_0_5998, all_68_1_5999 and discharging atoms s(all_68_1_5999) = all_68_0_5998, yields:
% 55.98/16.63  										| (10461) all_68_0_5998 = 0
% 55.98/16.63  										|
% 55.98/16.64  										| Equations (10461) can reduce 10459 to:
% 55.98/16.64  										| (59) $false
% 55.98/16.64  										|
% 55.98/16.64  										|-The branch is then unsatisfiable
% 55.98/16.64  									|-Branch two:
% 55.98/16.64  									| (1540)  ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0)
% 55.98/16.64  									|
% 55.98/16.64  										| Applying alpha-rule on (1540) yields:
% 55.98/16.64  										| (67)  ~ (all_0_14_14 = 0)
% 55.98/16.64  										| (475) p(all_0_15_15) = all_0_14_14
% 55.98/16.64  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 55.98/16.64  										|
% 55.98/16.64  										+-Applying beta-rule and splitting (10410), into two cases.
% 55.98/16.64  										|-Branch one:
% 55.98/16.64  										| (10419) all_41_0_5978 = 0
% 55.98/16.64  										|
% 55.98/16.64  											| Equations (10419) can reduce 10405 to:
% 55.98/16.64  											| (59) $false
% 55.98/16.64  											|
% 55.98/16.64  											|-The branch is then unsatisfiable
% 55.98/16.64  										|-Branch two:
% 55.98/16.64  										| (10405)  ~ (all_41_0_5978 = 0)
% 55.98/16.64  										| (10422) all_48_0_5980 = 0 & q(all_48_1_5981) = 0
% 55.98/16.64  										|
% 55.98/16.64  											| Instantiating formula (5867) with all_0_14_14, all_0_15_15 and discharging atoms p(all_0_15_15) = all_0_14_14, yields:
% 55.98/16.64  											| (6381)  ? [v0] :  ? [v1] : (( ~ (all_0_14_14 = 0) | ( ~ (v1 = 0) & p(v0) = v1)) & (all_0_14_14 = 0 | (v1 = 0 & p(v0) = 0)))
% 55.98/16.64  											|
% 55.98/16.64  											| Instantiating (6381) with all_66_0_6000, all_66_1_6001 yields:
% 56.05/16.64  											| (10472) ( ~ (all_0_14_14 = 0) | ( ~ (all_66_0_6000 = 0) & p(all_66_1_6001) = all_66_0_6000)) & (all_0_14_14 = 0 | (all_66_0_6000 = 0 & p(all_66_1_6001) = 0))
% 56.05/16.64  											|
% 56.05/16.64  											| Applying alpha-rule on (10472) yields:
% 56.05/16.64  											| (10473)  ~ (all_0_14_14 = 0) | ( ~ (all_66_0_6000 = 0) & p(all_66_1_6001) = all_66_0_6000)
% 56.05/16.64  											| (10474) all_0_14_14 = 0 | (all_66_0_6000 = 0 & p(all_66_1_6001) = 0)
% 56.05/16.64  											|
% 56.05/16.64  											+-Applying beta-rule and splitting (10474), into two cases.
% 56.05/16.64  											|-Branch one:
% 56.05/16.64  											| (74) all_0_14_14 = 0
% 56.05/16.64  											|
% 56.05/16.64  												| Equations (74) can reduce 67 to:
% 56.05/16.64  												| (59) $false
% 56.05/16.64  												|
% 56.05/16.64  												|-The branch is then unsatisfiable
% 56.05/16.64  											|-Branch two:
% 56.05/16.64  											| (67)  ~ (all_0_14_14 = 0)
% 56.05/16.64  											| (10478) all_66_0_6000 = 0 & p(all_66_1_6001) = 0
% 56.05/16.64  											|
% 56.05/16.64  												| Applying alpha-rule on (10478) yields:
% 56.05/16.64  												| (10479) all_66_0_6000 = 0
% 56.05/16.64  												| (10480) p(all_66_1_6001) = 0
% 56.05/16.64  												|
% 56.05/16.64  												+-Applying beta-rule and splitting (1547), into two cases.
% 56.05/16.64  												|-Branch one:
% 56.05/16.64  												| (1563) all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 56.05/16.64  												|
% 56.05/16.64  													| Applying alpha-rule on (1563) yields:
% 56.05/16.64  													| (81) all_0_20_20 = 0
% 56.05/16.64  													| (1565) p(all_0_21_21) = 0
% 56.05/16.64  													| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 56.05/16.64  													|
% 56.05/16.64  													| Instantiating formula (77) with all_41_0_5978, all_41_1_5979 and discharging atoms q(all_41_1_5979) = all_41_0_5978, yields:
% 56.05/16.64  													| (10419) all_41_0_5978 = 0
% 56.05/16.64  													|
% 56.05/16.64  													| Equations (10419) can reduce 10405 to:
% 56.05/16.64  													| (59) $false
% 56.05/16.64  													|
% 56.05/16.64  													|-The branch is then unsatisfiable
% 56.05/16.64  												|-Branch two:
% 56.05/16.64  												| (1573)  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)
% 56.05/16.64  												|
% 56.05/16.64  													| Applying alpha-rule on (1573) yields:
% 56.05/16.64  													| (34)  ~ (all_0_20_20 = 0)
% 56.05/16.64  													| (1528) q(all_0_21_21) = all_0_20_20
% 56.05/16.64  													| (78)  ! [v0] :  ~ (p(v0) = 0)
% 56.05/16.64  													|
% 56.05/16.64  													| Instantiating formula (78) with all_66_1_6001 and discharging atoms p(all_66_1_6001) = 0, yields:
% 56.05/16.64  													| (79) $false
% 56.05/16.64  													|
% 56.05/16.64  													|-The branch is then unsatisfiable
% 56.05/16.64  							|-Branch two:
% 56.05/16.64  							| (1583) ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))
% 56.05/16.64  							|
% 56.05/16.64  								| Applying alpha-rule on (1583) yields:
% 56.05/16.64  								| (1584) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))
% 56.05/16.64  								| (1585) (s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))
% 56.05/16.64  								|
% 56.05/16.64  								+-Applying beta-rule and splitting (1585), into two cases.
% 56.05/16.64  								|-Branch one:
% 56.05/16.64  								| (1586) s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))
% 56.05/16.64  								|
% 56.05/16.64  									| Applying alpha-rule on (1586) yields:
% 56.05/16.64  									| (1587) s(all_0_15_15) = all_0_14_14
% 56.05/16.64  									| (1588)  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 56.05/16.64  									| (1589)  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0))
% 56.05/16.64  									| (1590) (all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0))
% 56.05/16.65  									|
% 56.05/16.65  									+-Applying beta-rule and splitting (10410), into two cases.
% 56.05/16.65  									|-Branch one:
% 56.05/16.65  									| (10419) all_41_0_5978 = 0
% 56.05/16.65  									|
% 56.05/16.65  										| Equations (10419) can reduce 10405 to:
% 56.05/16.65  										| (59) $false
% 56.05/16.65  										|
% 56.05/16.65  										|-The branch is then unsatisfiable
% 56.05/16.65  									|-Branch two:
% 56.05/16.65  									| (10405)  ~ (all_41_0_5978 = 0)
% 56.05/16.65  									| (10422) all_48_0_5980 = 0 & q(all_48_1_5981) = 0
% 56.05/16.65  									|
% 56.05/16.65  										| Instantiating formula (220) with all_0_14_14, all_0_15_15 and discharging atoms s(all_0_15_15) = all_0_14_14, yields:
% 56.05/16.65  										| (74) all_0_14_14 = 0
% 56.05/16.65  										|
% 56.05/16.65  										| From (74) and (1587) follows:
% 56.05/16.65  										| (1521) s(all_0_15_15) = 0
% 56.05/16.65  										|
% 56.05/16.65  										+-Applying beta-rule and splitting (1584), into two cases.
% 56.05/16.65  										|-Branch one:
% 56.05/16.65  										| (1593) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20
% 56.05/16.65  										|
% 56.05/16.65  											| Applying alpha-rule on (1593) yields:
% 56.05/16.65  											| (33) all_0_18_18 = 0
% 56.05/16.65  											| (34)  ~ (all_0_20_20 = 0)
% 56.05/16.65  											| (1596) s(all_0_19_19) = 0
% 56.05/16.65  											| (1597) p(all_0_21_21) = all_0_20_20
% 56.05/16.65  											|
% 56.05/16.65  											| Instantiating formula (5867) with all_0_20_20, all_0_21_21 and discharging atoms p(all_0_21_21) = all_0_20_20, yields:
% 56.05/16.65  											| (7561)  ? [v0] :  ? [v1] : (( ~ (all_0_20_20 = 0) | ( ~ (v1 = 0) & p(v0) = v1)) & (all_0_20_20 = 0 | (v1 = 0 & p(v0) = 0)))
% 56.05/16.65  											|
% 56.05/16.65  											| Instantiating (7561) with all_85_0_6040, all_85_1_6041 yields:
% 56.05/16.65  											| (10512) ( ~ (all_0_20_20 = 0) | ( ~ (all_85_0_6040 = 0) & p(all_85_1_6041) = all_85_0_6040)) & (all_0_20_20 = 0 | (all_85_0_6040 = 0 & p(all_85_1_6041) = 0))
% 56.05/16.65  											|
% 56.05/16.65  											| Applying alpha-rule on (10512) yields:
% 56.05/16.65  											| (10513)  ~ (all_0_20_20 = 0) | ( ~ (all_85_0_6040 = 0) & p(all_85_1_6041) = all_85_0_6040)
% 56.05/16.65  											| (10514) all_0_20_20 = 0 | (all_85_0_6040 = 0 & p(all_85_1_6041) = 0)
% 56.05/16.65  											|
% 56.05/16.65  											+-Applying beta-rule and splitting (10514), into two cases.
% 56.05/16.65  											|-Branch one:
% 56.05/16.65  											| (81) all_0_20_20 = 0
% 56.05/16.65  											|
% 56.05/16.65  												| Equations (81) can reduce 34 to:
% 56.05/16.65  												| (59) $false
% 56.05/16.65  												|
% 56.05/16.65  												|-The branch is then unsatisfiable
% 56.05/16.65  											|-Branch two:
% 56.05/16.65  											| (34)  ~ (all_0_20_20 = 0)
% 56.05/16.65  											| (10518) all_85_0_6040 = 0 & p(all_85_1_6041) = 0
% 56.05/16.65  											|
% 56.05/16.65  												| Applying alpha-rule on (10518) yields:
% 56.05/16.65  												| (10519) all_85_0_6040 = 0
% 56.05/16.65  												| (10520) p(all_85_1_6041) = 0
% 56.05/16.65  												|
% 56.05/16.65  												+-Applying beta-rule and splitting (1590), into two cases.
% 56.05/16.65  												|-Branch one:
% 56.05/16.65  												| (1599) all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 56.05/16.65  												|
% 56.05/16.65  													| Applying alpha-rule on (1599) yields:
% 56.05/16.65  													| (42) all_0_16_16 = 0
% 56.05/16.65  													| (1601) p(all_0_17_17) = 0
% 56.05/16.65  													| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 56.05/16.65  													|
% 56.05/16.65  													| Instantiating formula (77) with all_41_0_5978, all_41_1_5979 and discharging atoms q(all_41_1_5979) = all_41_0_5978, yields:
% 56.05/16.65  													| (10419) all_41_0_5978 = 0
% 56.05/16.65  													|
% 56.05/16.65  													| Equations (10419) can reduce 10405 to:
% 56.05/16.65  													| (59) $false
% 56.05/16.65  													|
% 56.05/16.65  													|-The branch is then unsatisfiable
% 56.05/16.65  												|-Branch two:
% 56.05/16.65  												| (1609)  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)
% 56.05/16.65  												|
% 56.05/16.65  													| Applying alpha-rule on (1609) yields:
% 56.05/16.65  													| (71)  ~ (all_0_16_16 = 0)
% 56.05/16.65  													| (23) q(all_0_17_17) = all_0_16_16
% 56.05/16.65  													| (78)  ! [v0] :  ~ (p(v0) = 0)
% 56.05/16.65  													|
% 56.05/16.65  													| Instantiating formula (78) with all_85_1_6041 and discharging atoms p(all_85_1_6041) = 0, yields:
% 56.05/16.65  													| (79) $false
% 56.05/16.65  													|
% 56.05/16.65  													|-The branch is then unsatisfiable
% 56.05/16.65  										|-Branch two:
% 56.05/16.65  										| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 56.05/16.65  										|
% 56.05/16.65  											| Applying alpha-rule on (60) yields:
% 56.05/16.65  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 56.05/16.65  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 56.05/16.65  											|
% 56.05/16.65  											| Instantiating formula (62) with all_0_15_15 and discharging atoms s(all_0_15_15) = 0, yields:
% 56.05/16.65  											| (79) $false
% 56.05/16.65  											|
% 56.05/16.65  											|-The branch is then unsatisfiable
% 56.05/16.65  								|-Branch two:
% 56.05/16.65  								| (1623)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 56.05/16.65  								|
% 56.05/16.65  									| Applying alpha-rule on (1623) yields:
% 56.05/16.65  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 56.05/16.65  									| (1625) (all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 56.05/16.65  									|
% 56.05/16.65  									+-Applying beta-rule and splitting (1584), into two cases.
% 56.05/16.65  									|-Branch one:
% 56.05/16.65  									| (1593) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20
% 56.05/16.65  									|
% 56.05/16.65  										| Applying alpha-rule on (1593) yields:
% 56.05/16.65  										| (33) all_0_18_18 = 0
% 56.05/16.65  										| (34)  ~ (all_0_20_20 = 0)
% 56.05/16.65  										| (1596) s(all_0_19_19) = 0
% 56.05/16.65  										| (1597) p(all_0_21_21) = all_0_20_20
% 56.05/16.65  										|
% 56.05/16.65  										| Instantiating formula (84) with 0, all_0_19_19 and discharging atoms s(all_0_19_19) = 0, yields:
% 56.05/16.65  										| (278)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & s(v0) = v1)
% 56.05/16.65  										|
% 56.05/16.65  										| Instantiating (278) with all_66_0_6070, all_66_1_6071 yields:
% 56.05/16.65  										| (10545)  ~ (all_66_0_6070 = 0) & s(all_66_1_6071) = all_66_0_6070
% 56.05/16.65  										|
% 56.05/16.66  										| Applying alpha-rule on (10545) yields:
% 56.05/16.66  										| (10546)  ~ (all_66_0_6070 = 0)
% 56.05/16.66  										| (10547) s(all_66_1_6071) = all_66_0_6070
% 56.05/16.66  										|
% 56.05/16.66  										| Instantiating formula (220) with all_66_0_6070, all_66_1_6071 and discharging atoms s(all_66_1_6071) = all_66_0_6070, yields:
% 56.05/16.66  										| (10548) all_66_0_6070 = 0
% 56.05/16.66  										|
% 56.05/16.66  										| Equations (10548) can reduce 10546 to:
% 56.05/16.66  										| (59) $false
% 56.05/16.66  										|
% 56.05/16.66  										|-The branch is then unsatisfiable
% 56.05/16.66  									|-Branch two:
% 56.05/16.66  									| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 56.05/16.66  									|
% 56.05/16.66  										| Applying alpha-rule on (60) yields:
% 56.05/16.66  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 56.05/16.66  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 56.05/16.66  										|
% 56.05/16.66  										+-Applying beta-rule and splitting (10410), into two cases.
% 56.05/16.66  										|-Branch one:
% 56.05/16.66  										| (10419) all_41_0_5978 = 0
% 56.05/16.66  										|
% 56.05/16.66  											| Equations (10419) can reduce 10405 to:
% 56.05/16.66  											| (59) $false
% 56.05/16.66  											|
% 56.05/16.66  											|-The branch is then unsatisfiable
% 56.05/16.66  										|-Branch two:
% 56.05/16.66  										| (10405)  ~ (all_41_0_5978 = 0)
% 56.05/16.66  										| (10422) all_48_0_5980 = 0 & q(all_48_1_5981) = 0
% 56.05/16.66  										|
% 56.05/16.66  											+-Applying beta-rule and splitting (1625), into two cases.
% 56.05/16.66  											|-Branch one:
% 56.05/16.66  											| (1642) all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0
% 56.05/16.66  											|
% 56.05/16.66  												| Applying alpha-rule on (1642) yields:
% 56.05/16.66  												| (74) all_0_14_14 = 0
% 56.05/16.66  												| (71)  ~ (all_0_16_16 = 0)
% 56.05/16.66  												| (23) q(all_0_17_17) = all_0_16_16
% 56.05/16.66  												| (105) p(all_0_15_15) = 0
% 56.05/16.66  												|
% 56.05/16.66  												| Instantiating formula (5867) with 0, all_0_15_15 and discharging atoms p(all_0_15_15) = 0, yields:
% 56.05/16.66  												| (5930)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & p(v0) = v1)
% 56.05/16.66  												|
% 56.05/16.66  												| Instantiating (5930) with all_84_0_6078, all_84_1_6079 yields:
% 56.05/16.66  												| (10563)  ~ (all_84_0_6078 = 0) & p(all_84_1_6079) = all_84_0_6078
% 56.05/16.66  												|
% 56.05/16.66  												| Applying alpha-rule on (10563) yields:
% 56.05/16.66  												| (10564)  ~ (all_84_0_6078 = 0)
% 56.05/16.66  												| (10565) p(all_84_1_6079) = all_84_0_6078
% 56.05/16.66  												|
% 56.05/16.66  												| Instantiating formula (61) with all_84_0_6078, all_84_1_6079 and discharging atoms p(all_84_1_6079) = all_84_0_6078, yields:
% 56.05/16.66  												| (10566) all_84_0_6078 = 0
% 56.05/16.66  												|
% 56.05/16.66  												| Equations (10566) can reduce 10564 to:
% 56.05/16.66  												| (59) $false
% 56.05/16.66  												|
% 56.05/16.66  												|-The branch is then unsatisfiable
% 56.05/16.66  											|-Branch two:
% 56.05/16.66  											| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 56.05/16.66  											|
% 56.05/16.66  												| Applying alpha-rule on (76) yields:
% 56.05/16.66  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 56.05/16.66  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 56.05/16.66  												|
% 56.05/16.66  												| Instantiating formula (77) with all_41_0_5978, all_41_1_5979 and discharging atoms q(all_41_1_5979) = all_41_0_5978, yields:
% 56.05/16.66  												| (10419) all_41_0_5978 = 0
% 56.05/16.66  												|
% 56.05/16.66  												| Equations (10419) can reduce 10405 to:
% 56.05/16.66  												| (59) $false
% 56.05/16.66  												|
% 56.05/16.66  												|-The branch is then unsatisfiable
% 56.05/16.66  						|-Branch two:
% 56.05/16.66  						| (9194)  ~ (all_0_4_4 = 0) & r(all_0_5_5) = all_0_4_4 &  ! [v0] :  ~ (q(v0) = 0)
% 56.05/16.66  						|
% 56.05/16.66  							| Applying alpha-rule on (9194) yields:
% 56.05/16.66  							| (214)  ~ (all_0_4_4 = 0)
% 56.05/16.66  							| (28) r(all_0_5_5) = all_0_4_4
% 56.05/16.66  							| (212)  ! [v0] :  ~ (q(v0) = 0)
% 56.05/16.66  							|
% 56.05/16.66  							| Instantiating formula (370) with all_0_4_4, all_0_5_5 and discharging atoms r(all_0_5_5) = all_0_4_4, yields:
% 56.05/16.66  							| (9751)  ? [v0] :  ? [v1] : (( ~ (all_0_4_4 = 0) | ( ~ (v1 = 0) & r(v0) = v1)) & (all_0_4_4 = 0 | (v1 = 0 & r(v0) = 0)))
% 56.05/16.66  							|
% 56.05/16.66  							| Instantiating (9751) with all_41_0_6084, all_41_1_6085 yields:
% 56.05/16.66  							| (10578) ( ~ (all_0_4_4 = 0) | ( ~ (all_41_0_6084 = 0) & r(all_41_1_6085) = all_41_0_6084)) & (all_0_4_4 = 0 | (all_41_0_6084 = 0 & r(all_41_1_6085) = 0))
% 56.05/16.66  							|
% 56.05/16.67  							| Applying alpha-rule on (10578) yields:
% 56.05/16.67  							| (10579)  ~ (all_0_4_4 = 0) | ( ~ (all_41_0_6084 = 0) & r(all_41_1_6085) = all_41_0_6084)
% 56.05/16.67  							| (10580) all_0_4_4 = 0 | (all_41_0_6084 = 0 & r(all_41_1_6085) = 0)
% 56.05/16.67  							|
% 56.05/16.67  							+-Applying beta-rule and splitting (10580), into two cases.
% 56.05/16.67  							|-Branch one:
% 56.05/16.67  							| (37) all_0_4_4 = 0
% 56.05/16.67  							|
% 56.05/16.67  								| Equations (37) can reduce 214 to:
% 56.05/16.67  								| (59) $false
% 56.05/16.67  								|
% 56.05/16.67  								|-The branch is then unsatisfiable
% 56.05/16.67  							|-Branch two:
% 56.05/16.67  							| (214)  ~ (all_0_4_4 = 0)
% 56.05/16.67  							| (10584) all_41_0_6084 = 0 & r(all_41_1_6085) = 0
% 56.05/16.67  							|
% 56.05/16.67  								| Applying alpha-rule on (10584) yields:
% 56.05/16.67  								| (10585) all_41_0_6084 = 0
% 56.05/16.67  								| (10586) r(all_41_1_6085) = 0
% 56.05/16.67  								|
% 56.05/16.67  								| Instantiating formula (221) with all_41_1_6085 and discharging atoms r(all_41_1_6085) = 0, yields:
% 56.05/16.67  								| (79) $false
% 56.05/16.67  								|
% 56.05/16.67  								|-The branch is then unsatisfiable
% 56.05/16.67  		|-Branch two:
% 56.05/16.67  		| (10588) ((r(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (r(v0) = 0)) & ((((all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))) | ( ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))))) & ((q(all_0_7_7) = all_0_6_6 &  ! [v0] :  ! [v1] : ( ~ (all_0_6_6 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_6_6 = 0 |  ~ (q(v0) = 0)) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 & r(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_10_10 = 0 & r(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (r(v0) = 0)))))
% 56.05/16.67  		|
% 56.05/16.67  			| Applying alpha-rule on (10588) yields:
% 56.05/16.67  			| (1487) (r(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (r(v0) = 0)) & ((((all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))) | ( ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))))
% 56.05/16.67  			| (10590) (q(all_0_7_7) = all_0_6_6 &  ! [v0] :  ! [v1] : ( ~ (all_0_6_6 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_6_6 = 0 |  ~ (q(v0) = 0)) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 & r(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_10_10 = 0 & r(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (r(v0) = 0))))
% 56.05/16.67  			|
% 56.05/16.67  			+-Applying beta-rule and splitting (10590), into two cases.
% 56.05/16.67  			|-Branch one:
% 56.05/16.67  			| (10591) q(all_0_7_7) = all_0_6_6 &  ! [v0] :  ! [v1] : ( ~ (all_0_6_6 = 0) | v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] : (all_0_6_6 = 0 |  ~ (q(v0) = 0)) & ((all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 & r(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)))
% 56.05/16.67  			|
% 56.05/16.67  				| Applying alpha-rule on (10591) yields:
% 56.05/16.67  				| (9013) q(all_0_7_7) = all_0_6_6
% 56.05/16.68  				| (9014)  ! [v0] :  ! [v1] : ( ~ (all_0_6_6 = 0) | v1 = 0 |  ~ (q(v0) = v1))
% 56.05/16.68  				| (9015)  ! [v0] : (all_0_6_6 = 0 |  ~ (q(v0) = 0))
% 56.05/16.68  				| (2185) (all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 & r(all_0_9_9) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0))
% 56.05/16.68  				|
% 56.05/16.68  				+-Applying beta-rule and splitting (1487), into two cases.
% 56.05/16.68  				|-Branch one:
% 56.05/16.68  				| (1494) r(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (r(v0) = 0)) & ((((all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))
% 56.05/16.68  				|
% 56.05/16.68  					| Applying alpha-rule on (1494) yields:
% 56.05/16.68  					| (1495) r(all_0_13_13) = all_0_12_12
% 56.05/16.68  					| (1496)  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (r(v0) = v1))
% 56.05/16.68  					| (1497)  ! [v0] : (all_0_12_12 = 0 |  ~ (r(v0) = 0))
% 56.05/16.68  					| (1498) (((all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))
% 56.05/16.68  					|
% 56.05/16.68  					+-Applying beta-rule and splitting (2185), into two cases.
% 56.05/16.68  					|-Branch one:
% 56.05/16.68  					| (2191) all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 & r(all_0_9_9) = 0
% 56.05/16.68  					|
% 56.05/16.68  						| Applying alpha-rule on (2191) yields:
% 56.05/16.68  						| (120) all_0_8_8 = 0
% 56.05/16.68  						| (52)  ~ (all_0_10_10 = 0)
% 56.05/16.68  						| (47) s(all_0_11_11) = all_0_10_10
% 56.05/16.68  						| (2195) r(all_0_9_9) = 0
% 56.05/16.68  						|
% 56.05/16.68  						| Instantiating formula (1497) with all_0_9_9 and discharging atoms r(all_0_9_9) = 0, yields:
% 56.05/16.68  						| (66) all_0_12_12 = 0
% 56.05/16.68  						|
% 56.05/16.68  						+-Applying beta-rule and splitting (9007), into two cases.
% 56.05/16.68  						|-Branch one:
% 56.05/16.68  						| (9027) all_0_4_4 = 0 & q(all_0_5_5) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 56.05/16.68  						|
% 56.05/16.68  							| Applying alpha-rule on (9027) yields:
% 56.05/16.68  							| (37) all_0_4_4 = 0
% 56.05/16.68  							| (9029) q(all_0_5_5) = 0
% 56.05/16.68  							| (41)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 56.05/16.68  							|
% 56.05/16.68  							| Instantiating formula (9015) with all_0_5_5 and discharging atoms q(all_0_5_5) = 0, yields:
% 56.05/16.68  							| (54) all_0_6_6 = 0
% 56.05/16.68  							|
% 56.05/16.68  							+-Applying beta-rule and splitting (1498), into two cases.
% 56.05/16.68  							|-Branch one:
% 56.05/16.68  							| (1509) ((all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))
% 56.05/16.68  							|
% 56.05/16.68  								| Applying alpha-rule on (1509) yields:
% 56.05/16.68  								| (1510) (all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))
% 56.05/16.68  								| (1511) (s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))))
% 56.05/16.68  								|
% 56.05/16.68  								+-Applying beta-rule and splitting (1511), into two cases.
% 56.05/16.68  								|-Branch one:
% 56.05/16.68  								| (1512) s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 56.05/16.68  								|
% 56.05/16.68  									| Applying alpha-rule on (1512) yields:
% 56.05/16.68  									| (1513) s(all_0_17_17) = all_0_16_16
% 56.05/16.68  									| (1514)  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 56.05/16.68  									| (1515)  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0))
% 56.05/16.68  									| (1516) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 56.05/16.68  									|
% 56.05/16.68  									| Instantiating formula (1514) with all_0_10_10, all_0_11_11 and discharging atoms s(all_0_11_11) = all_0_10_10, yields:
% 56.05/16.68  									| (657)  ~ (all_0_16_16 = 0) | all_0_10_10 = 0
% 56.05/16.68  									|
% 56.05/16.68  									+-Applying beta-rule and splitting (657), into two cases.
% 56.05/16.68  									|-Branch one:
% 56.05/16.68  									| (71)  ~ (all_0_16_16 = 0)
% 56.05/16.68  									|
% 56.05/16.68  										+-Applying beta-rule and splitting (1510), into two cases.
% 56.05/16.68  										|-Branch one:
% 56.05/16.68  										| (1519) all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 56.05/16.68  										|
% 56.05/16.68  											| Applying alpha-rule on (1519) yields:
% 56.05/16.68  											| (74) all_0_14_14 = 0
% 56.05/16.68  											| (1521) s(all_0_15_15) = 0
% 56.05/16.68  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 56.05/16.68  											|
% 56.05/16.68  											| Instantiating formula (1515) with all_0_15_15 and discharging atoms s(all_0_15_15) = 0, yields:
% 56.05/16.68  											| (42) all_0_16_16 = 0
% 56.05/16.68  											|
% 56.05/16.68  											| Equations (42) can reduce 71 to:
% 56.05/16.68  											| (59) $false
% 56.05/16.68  											|
% 56.05/16.68  											|-The branch is then unsatisfiable
% 56.05/16.68  										|-Branch two:
% 56.05/16.68  										| (1540)  ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0)
% 56.05/16.68  										|
% 56.05/16.68  											| Applying alpha-rule on (1540) yields:
% 56.05/16.68  											| (67)  ~ (all_0_14_14 = 0)
% 56.05/16.68  											| (475) p(all_0_15_15) = all_0_14_14
% 56.05/16.68  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 56.05/16.68  											|
% 56.05/16.68  											| Instantiating formula (5867) with all_0_14_14, all_0_15_15 and discharging atoms p(all_0_15_15) = all_0_14_14, yields:
% 56.05/16.68  											| (6381)  ? [v0] :  ? [v1] : (( ~ (all_0_14_14 = 0) | ( ~ (v1 = 0) & p(v0) = v1)) & (all_0_14_14 = 0 | (v1 = 0 & p(v0) = 0)))
% 56.05/16.68  											|
% 56.05/16.68  											| Instantiating (6381) with all_81_0_6086, all_81_1_6087 yields:
% 56.05/16.68  											| (10633) ( ~ (all_0_14_14 = 0) | ( ~ (all_81_0_6086 = 0) & p(all_81_1_6087) = all_81_0_6086)) & (all_0_14_14 = 0 | (all_81_0_6086 = 0 & p(all_81_1_6087) = 0))
% 56.05/16.68  											|
% 56.05/16.68  											| Applying alpha-rule on (10633) yields:
% 56.05/16.68  											| (10634)  ~ (all_0_14_14 = 0) | ( ~ (all_81_0_6086 = 0) & p(all_81_1_6087) = all_81_0_6086)
% 56.05/16.68  											| (10635) all_0_14_14 = 0 | (all_81_0_6086 = 0 & p(all_81_1_6087) = 0)
% 56.05/16.68  											|
% 56.05/16.68  											+-Applying beta-rule and splitting (1516), into two cases.
% 56.05/16.68  											|-Branch one:
% 56.05/16.68  											| (1525) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0
% 56.05/16.68  											|
% 56.05/16.68  												| Applying alpha-rule on (1525) yields:
% 56.05/16.68  												| (33) all_0_18_18 = 0
% 56.05/16.68  												| (34)  ~ (all_0_20_20 = 0)
% 56.05/16.68  												| (1528) q(all_0_21_21) = all_0_20_20
% 56.05/16.68  												| (1529) p(all_0_19_19) = 0
% 56.05/16.68  												|
% 56.05/16.68  												| Instantiating formula (9014) with all_0_20_20, all_0_21_21 and discharging atoms q(all_0_21_21) = all_0_20_20, yields:
% 56.05/16.68  												| (2979)  ~ (all_0_6_6 = 0) | all_0_20_20 = 0
% 56.05/16.68  												|
% 56.05/16.68  												+-Applying beta-rule and splitting (2979), into two cases.
% 56.05/16.68  												|-Branch one:
% 56.05/16.68  												| (2980)  ~ (all_0_6_6 = 0)
% 56.05/16.68  												|
% 56.05/16.68  													| Equations (54) can reduce 2980 to:
% 56.05/16.68  													| (59) $false
% 56.05/16.68  													|
% 56.05/16.68  													|-The branch is then unsatisfiable
% 56.05/16.69  												|-Branch two:
% 56.05/16.69  												| (54) all_0_6_6 = 0
% 56.05/16.69  												| (81) all_0_20_20 = 0
% 56.05/16.69  												|
% 56.05/16.69  													| Equations (81) can reduce 34 to:
% 56.05/16.69  													| (59) $false
% 56.05/16.69  													|
% 56.05/16.69  													|-The branch is then unsatisfiable
% 56.05/16.69  											|-Branch two:
% 56.05/16.69  											| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 56.05/16.69  											|
% 56.05/16.69  												| Applying alpha-rule on (76) yields:
% 56.05/16.69  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 56.05/16.69  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 56.05/16.69  												|
% 56.05/16.69  												+-Applying beta-rule and splitting (10635), into two cases.
% 56.05/16.69  												|-Branch one:
% 56.05/16.69  												| (74) all_0_14_14 = 0
% 56.05/16.69  												|
% 56.05/16.69  													| Equations (74) can reduce 67 to:
% 56.05/16.69  													| (59) $false
% 56.05/16.69  													|
% 56.05/16.69  													|-The branch is then unsatisfiable
% 56.05/16.69  												|-Branch two:
% 56.05/16.69  												| (67)  ~ (all_0_14_14 = 0)
% 56.05/16.69  												| (10653) all_81_0_6086 = 0 & p(all_81_1_6087) = 0
% 56.05/16.69  												|
% 56.05/16.69  													| Applying alpha-rule on (10653) yields:
% 56.05/16.69  													| (10654) all_81_0_6086 = 0
% 56.05/16.69  													| (10655) p(all_81_1_6087) = 0
% 56.05/16.69  													|
% 56.05/16.69  													| Instantiating formula (78) with all_81_1_6087 and discharging atoms p(all_81_1_6087) = 0, yields:
% 56.05/16.69  													| (79) $false
% 56.05/16.69  													|
% 56.05/16.69  													|-The branch is then unsatisfiable
% 56.05/16.69  									|-Branch two:
% 56.05/16.69  									| (42) all_0_16_16 = 0
% 56.05/16.69  									| (58) all_0_10_10 = 0
% 56.05/16.69  									|
% 56.05/16.69  										| Equations (58) can reduce 52 to:
% 56.05/16.69  										| (59) $false
% 56.05/16.69  										|
% 56.05/16.69  										|-The branch is then unsatisfiable
% 56.05/16.69  								|-Branch two:
% 56.05/16.69  								| (1545)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))
% 56.05/16.69  								|
% 56.05/16.69  									| Applying alpha-rule on (1545) yields:
% 56.05/16.69  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 56.05/16.69  									| (1547) (all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))
% 56.05/16.69  									|
% 56.05/16.69  									| Instantiating formula (84) with all_0_10_10, all_0_11_11 and discharging atoms s(all_0_11_11) = all_0_10_10, yields:
% 56.05/16.69  									| (1726)  ? [v0] :  ? [v1] : (( ~ (all_0_10_10 = 0) | ( ~ (v1 = 0) & s(v0) = v1)) & (all_0_10_10 = 0 | (v1 = 0 & s(v0) = 0)))
% 56.05/16.69  									|
% 56.05/16.69  									| Instantiating (1726) with all_63_0_6090, all_63_1_6091 yields:
% 56.05/16.69  									| (10664) ( ~ (all_0_10_10 = 0) | ( ~ (all_63_0_6090 = 0) & s(all_63_1_6091) = all_63_0_6090)) & (all_0_10_10 = 0 | (all_63_0_6090 = 0 & s(all_63_1_6091) = 0))
% 56.05/16.69  									|
% 56.05/16.69  									| Applying alpha-rule on (10664) yields:
% 56.05/16.69  									| (10665)  ~ (all_0_10_10 = 0) | ( ~ (all_63_0_6090 = 0) & s(all_63_1_6091) = all_63_0_6090)
% 56.05/16.69  									| (10666) all_0_10_10 = 0 | (all_63_0_6090 = 0 & s(all_63_1_6091) = 0)
% 56.05/16.69  									|
% 56.05/16.69  									+-Applying beta-rule and splitting (10666), into two cases.
% 56.05/16.69  									|-Branch one:
% 56.05/16.69  									| (58) all_0_10_10 = 0
% 56.05/16.69  									|
% 56.05/16.69  										| Equations (58) can reduce 52 to:
% 56.05/16.69  										| (59) $false
% 56.05/16.69  										|
% 56.05/16.69  										|-The branch is then unsatisfiable
% 56.05/16.69  									|-Branch two:
% 56.05/16.69  									| (52)  ~ (all_0_10_10 = 0)
% 56.05/16.69  									| (10670) all_63_0_6090 = 0 & s(all_63_1_6091) = 0
% 56.05/16.69  									|
% 56.05/16.69  										| Applying alpha-rule on (10670) yields:
% 56.05/16.69  										| (10671) all_63_0_6090 = 0
% 56.05/16.69  										| (10672) s(all_63_1_6091) = 0
% 56.05/16.69  										|
% 56.05/16.69  										+-Applying beta-rule and splitting (1510), into two cases.
% 56.05/16.69  										|-Branch one:
% 56.05/16.69  										| (1519) all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 56.05/16.69  										|
% 56.05/16.69  											| Applying alpha-rule on (1519) yields:
% 56.05/16.69  											| (74) all_0_14_14 = 0
% 56.05/16.69  											| (1521) s(all_0_15_15) = 0
% 56.05/16.69  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 56.05/16.69  											|
% 56.05/16.69  											+-Applying beta-rule and splitting (1547), into two cases.
% 56.05/16.69  											|-Branch one:
% 56.05/16.69  											| (1563) all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 56.05/16.69  											|
% 56.05/16.69  												| Applying alpha-rule on (1563) yields:
% 56.05/16.69  												| (81) all_0_20_20 = 0
% 56.05/16.69  												| (1565) p(all_0_21_21) = 0
% 56.05/16.69  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 56.05/16.69  												|
% 56.05/16.69  												| Instantiating formula (5867) with 0, all_0_21_21 and discharging atoms p(all_0_21_21) = 0, yields:
% 56.05/16.69  												| (5930)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & p(v0) = v1)
% 56.05/16.69  												|
% 56.05/16.69  												| Instantiating (5930) with all_112_0_6100, all_112_1_6101 yields:
% 56.05/16.69  												| (10682)  ~ (all_112_0_6100 = 0) & p(all_112_1_6101) = all_112_0_6100
% 56.05/16.69  												|
% 56.05/16.69  												| Applying alpha-rule on (10682) yields:
% 56.05/16.69  												| (10683)  ~ (all_112_0_6100 = 0)
% 56.05/16.69  												| (10684) p(all_112_1_6101) = all_112_0_6100
% 56.05/16.69  												|
% 56.05/16.69  												| Instantiating formula (61) with all_112_0_6100, all_112_1_6101 and discharging atoms p(all_112_1_6101) = all_112_0_6100, yields:
% 56.05/16.69  												| (10685) all_112_0_6100 = 0
% 56.05/16.69  												|
% 56.05/16.69  												| Equations (10685) can reduce 10683 to:
% 56.05/16.69  												| (59) $false
% 56.05/16.69  												|
% 56.05/16.69  												|-The branch is then unsatisfiable
% 56.05/16.69  											|-Branch two:
% 56.05/16.69  											| (1573)  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)
% 56.05/16.69  											|
% 56.05/16.69  												| Applying alpha-rule on (1573) yields:
% 56.05/16.69  												| (34)  ~ (all_0_20_20 = 0)
% 56.05/16.69  												| (1528) q(all_0_21_21) = all_0_20_20
% 56.05/16.69  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 56.05/16.69  												|
% 56.05/16.69  												| Instantiating formula (9014) with all_0_20_20, all_0_21_21 and discharging atoms q(all_0_21_21) = all_0_20_20, yields:
% 56.05/16.69  												| (2979)  ~ (all_0_6_6 = 0) | all_0_20_20 = 0
% 56.05/16.69  												|
% 56.05/16.70  												+-Applying beta-rule and splitting (2979), into two cases.
% 56.05/16.70  												|-Branch one:
% 56.05/16.70  												| (2980)  ~ (all_0_6_6 = 0)
% 56.05/16.70  												|
% 56.05/16.70  													| Equations (54) can reduce 2980 to:
% 56.05/16.70  													| (59) $false
% 56.05/16.70  													|
% 56.05/16.70  													|-The branch is then unsatisfiable
% 56.05/16.70  												|-Branch two:
% 56.05/16.70  												| (54) all_0_6_6 = 0
% 56.05/16.70  												| (81) all_0_20_20 = 0
% 56.05/16.70  												|
% 56.05/16.70  													| Equations (81) can reduce 34 to:
% 56.05/16.70  													| (59) $false
% 56.05/16.70  													|
% 56.05/16.70  													|-The branch is then unsatisfiable
% 56.05/16.70  										|-Branch two:
% 56.05/16.70  										| (1540)  ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0)
% 56.05/16.70  										|
% 56.05/16.70  											| Applying alpha-rule on (1540) yields:
% 56.05/16.70  											| (67)  ~ (all_0_14_14 = 0)
% 56.05/16.70  											| (475) p(all_0_15_15) = all_0_14_14
% 56.05/16.70  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 56.05/16.70  											|
% 56.05/16.70  											| Instantiating formula (62) with all_63_1_6091 and discharging atoms s(all_63_1_6091) = 0, yields:
% 56.05/16.70  											| (79) $false
% 56.05/16.70  											|
% 56.05/16.70  											|-The branch is then unsatisfiable
% 56.05/16.70  							|-Branch two:
% 56.05/16.70  							| (1583) ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))
% 56.05/16.70  							|
% 56.05/16.70  								| Applying alpha-rule on (1583) yields:
% 56.05/16.70  								| (1584) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))
% 56.05/16.70  								| (1585) (s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))
% 56.05/16.70  								|
% 56.05/16.70  								+-Applying beta-rule and splitting (1585), into two cases.
% 56.05/16.70  								|-Branch one:
% 56.05/16.70  								| (1586) s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))
% 56.05/16.70  								|
% 56.05/16.70  									| Applying alpha-rule on (1586) yields:
% 56.05/16.70  									| (1587) s(all_0_15_15) = all_0_14_14
% 56.05/16.70  									| (1588)  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 56.05/16.70  									| (1589)  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0))
% 56.05/16.70  									| (1590) (all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0))
% 56.05/16.70  									|
% 56.05/16.70  									| Instantiating formula (1588) with all_0_10_10, all_0_11_11 and discharging atoms s(all_0_11_11) = all_0_10_10, yields:
% 56.05/16.70  									| (1767)  ~ (all_0_14_14 = 0) | all_0_10_10 = 0
% 56.05/16.70  									|
% 56.05/16.70  									+-Applying beta-rule and splitting (1767), into two cases.
% 56.05/16.70  									|-Branch one:
% 56.05/16.70  									| (67)  ~ (all_0_14_14 = 0)
% 56.05/16.70  									|
% 56.05/16.70  										+-Applying beta-rule and splitting (1584), into two cases.
% 56.05/16.70  										|-Branch one:
% 56.05/16.70  										| (1593) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20
% 56.05/16.70  										|
% 56.05/16.70  											| Applying alpha-rule on (1593) yields:
% 56.05/16.70  											| (33) all_0_18_18 = 0
% 56.05/16.70  											| (34)  ~ (all_0_20_20 = 0)
% 56.05/16.70  											| (1596) s(all_0_19_19) = 0
% 56.05/16.70  											| (1597) p(all_0_21_21) = all_0_20_20
% 56.05/16.70  											|
% 56.05/16.70  											| Instantiating formula (1589) with all_0_19_19 and discharging atoms s(all_0_19_19) = 0, yields:
% 56.05/16.70  											| (74) all_0_14_14 = 0
% 56.05/16.70  											|
% 56.05/16.70  											| Equations (74) can reduce 67 to:
% 56.05/16.70  											| (59) $false
% 56.05/16.70  											|
% 56.05/16.70  											|-The branch is then unsatisfiable
% 56.05/16.70  										|-Branch two:
% 56.05/16.70  										| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 56.05/16.70  										|
% 56.05/16.70  											| Applying alpha-rule on (60) yields:
% 56.05/16.70  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 56.05/16.70  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 56.05/16.70  											|
% 56.05/16.70  											+-Applying beta-rule and splitting (1590), into two cases.
% 56.05/16.70  											|-Branch one:
% 56.05/16.70  											| (1599) all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 56.05/16.70  											|
% 56.05/16.70  												| Applying alpha-rule on (1599) yields:
% 56.05/16.70  												| (42) all_0_16_16 = 0
% 56.05/16.70  												| (1601) p(all_0_17_17) = 0
% 56.05/16.70  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 56.05/16.70  												|
% 56.05/16.70  												| Instantiating formula (5867) with 0, all_0_17_17 and discharging atoms p(all_0_17_17) = 0, yields:
% 56.05/16.70  												| (5930)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & p(v0) = v1)
% 56.05/16.70  												|
% 56.05/16.70  												| Instantiating (5930) with all_85_0_6106, all_85_1_6107 yields:
% 56.05/16.70  												| (10727)  ~ (all_85_0_6106 = 0) & p(all_85_1_6107) = all_85_0_6106
% 56.05/16.70  												|
% 56.05/16.70  												| Applying alpha-rule on (10727) yields:
% 56.05/16.70  												| (10728)  ~ (all_85_0_6106 = 0)
% 56.05/16.70  												| (10729) p(all_85_1_6107) = all_85_0_6106
% 56.05/16.70  												|
% 56.05/16.70  												| Instantiating formula (61) with all_85_0_6106, all_85_1_6107 and discharging atoms p(all_85_1_6107) = all_85_0_6106, yields:
% 56.05/16.70  												| (10730) all_85_0_6106 = 0
% 56.05/16.70  												|
% 56.05/16.70  												| Equations (10730) can reduce 10728 to:
% 56.05/16.70  												| (59) $false
% 56.05/16.70  												|
% 56.05/16.70  												|-The branch is then unsatisfiable
% 56.05/16.70  											|-Branch two:
% 56.05/16.70  											| (1609)  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)
% 56.05/16.70  											|
% 56.05/16.70  												| Applying alpha-rule on (1609) yields:
% 56.05/16.70  												| (71)  ~ (all_0_16_16 = 0)
% 56.05/16.70  												| (23) q(all_0_17_17) = all_0_16_16
% 56.05/16.70  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 56.05/16.70  												|
% 56.05/16.70  												| Instantiating formula (9014) with all_0_16_16, all_0_17_17 and discharging atoms q(all_0_17_17) = all_0_16_16, yields:
% 56.05/16.70  												| (9691)  ~ (all_0_6_6 = 0) | all_0_16_16 = 0
% 56.05/16.70  												|
% 56.05/16.70  												+-Applying beta-rule and splitting (9691), into two cases.
% 56.05/16.70  												|-Branch one:
% 56.05/16.70  												| (2980)  ~ (all_0_6_6 = 0)
% 56.05/16.70  												|
% 56.05/16.70  													| Equations (54) can reduce 2980 to:
% 56.05/16.70  													| (59) $false
% 56.05/16.70  													|
% 56.05/16.70  													|-The branch is then unsatisfiable
% 56.05/16.70  												|-Branch two:
% 56.05/16.70  												| (54) all_0_6_6 = 0
% 56.05/16.70  												| (42) all_0_16_16 = 0
% 56.05/16.70  												|
% 56.05/16.70  													| Equations (42) can reduce 71 to:
% 56.05/16.70  													| (59) $false
% 56.05/16.70  													|
% 56.05/16.70  													|-The branch is then unsatisfiable
% 56.05/16.70  									|-Branch two:
% 56.05/16.70  									| (74) all_0_14_14 = 0
% 56.05/16.70  									| (58) all_0_10_10 = 0
% 56.05/16.70  									|
% 56.05/16.70  										| Equations (58) can reduce 52 to:
% 56.05/16.70  										| (59) $false
% 56.05/16.70  										|
% 56.05/16.70  										|-The branch is then unsatisfiable
% 56.05/16.70  								|-Branch two:
% 56.05/16.70  								| (1623)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 56.05/16.70  								|
% 56.05/16.70  									| Applying alpha-rule on (1623) yields:
% 56.05/16.70  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 56.05/16.70  									| (1625) (all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 56.05/16.70  									|
% 56.05/16.70  									| Instantiating formula (84) with all_0_10_10, all_0_11_11 and discharging atoms s(all_0_11_11) = all_0_10_10, yields:
% 56.05/16.70  									| (1726)  ? [v0] :  ? [v1] : (( ~ (all_0_10_10 = 0) | ( ~ (v1 = 0) & s(v0) = v1)) & (all_0_10_10 = 0 | (v1 = 0 & s(v0) = 0)))
% 56.05/16.70  									|
% 56.05/16.70  									| Instantiating (1726) with all_63_0_6108, all_63_1_6109 yields:
% 56.05/16.70  									| (10749) ( ~ (all_0_10_10 = 0) | ( ~ (all_63_0_6108 = 0) & s(all_63_1_6109) = all_63_0_6108)) & (all_0_10_10 = 0 | (all_63_0_6108 = 0 & s(all_63_1_6109) = 0))
% 56.05/16.70  									|
% 56.05/16.70  									| Applying alpha-rule on (10749) yields:
% 56.05/16.70  									| (10750)  ~ (all_0_10_10 = 0) | ( ~ (all_63_0_6108 = 0) & s(all_63_1_6109) = all_63_0_6108)
% 56.05/16.70  									| (10751) all_0_10_10 = 0 | (all_63_0_6108 = 0 & s(all_63_1_6109) = 0)
% 56.05/16.70  									|
% 56.05/16.70  									+-Applying beta-rule and splitting (10751), into two cases.
% 56.05/16.70  									|-Branch one:
% 56.05/16.70  									| (58) all_0_10_10 = 0
% 56.05/16.70  									|
% 56.05/16.70  										| Equations (58) can reduce 52 to:
% 56.05/16.70  										| (59) $false
% 56.05/16.70  										|
% 56.05/16.70  										|-The branch is then unsatisfiable
% 56.05/16.70  									|-Branch two:
% 56.05/16.71  									| (52)  ~ (all_0_10_10 = 0)
% 56.05/16.71  									| (10755) all_63_0_6108 = 0 & s(all_63_1_6109) = 0
% 56.05/16.71  									|
% 56.05/16.71  										| Applying alpha-rule on (10755) yields:
% 56.05/16.71  										| (10756) all_63_0_6108 = 0
% 56.05/16.71  										| (10757) s(all_63_1_6109) = 0
% 56.05/16.71  										|
% 56.05/16.71  										+-Applying beta-rule and splitting (1584), into two cases.
% 56.05/16.71  										|-Branch one:
% 56.05/16.71  										| (1593) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20
% 56.05/16.71  										|
% 56.05/16.71  											| Applying alpha-rule on (1593) yields:
% 56.05/16.71  											| (33) all_0_18_18 = 0
% 56.05/16.71  											| (34)  ~ (all_0_20_20 = 0)
% 56.05/16.71  											| (1596) s(all_0_19_19) = 0
% 56.05/16.71  											| (1597) p(all_0_21_21) = all_0_20_20
% 56.05/16.71  											|
% 56.05/16.71  											| Instantiating formula (5867) with all_0_20_20, all_0_21_21 and discharging atoms p(all_0_21_21) = all_0_20_20, yields:
% 56.05/16.71  											| (7561)  ? [v0] :  ? [v1] : (( ~ (all_0_20_20 = 0) | ( ~ (v1 = 0) & p(v0) = v1)) & (all_0_20_20 = 0 | (v1 = 0 & p(v0) = 0)))
% 56.05/16.71  											|
% 56.05/16.71  											| Instantiating (7561) with all_91_0_6114, all_91_1_6115 yields:
% 56.05/16.71  											| (10764) ( ~ (all_0_20_20 = 0) | ( ~ (all_91_0_6114 = 0) & p(all_91_1_6115) = all_91_0_6114)) & (all_0_20_20 = 0 | (all_91_0_6114 = 0 & p(all_91_1_6115) = 0))
% 56.05/16.71  											|
% 56.05/16.71  											| Applying alpha-rule on (10764) yields:
% 56.05/16.71  											| (10765)  ~ (all_0_20_20 = 0) | ( ~ (all_91_0_6114 = 0) & p(all_91_1_6115) = all_91_0_6114)
% 56.05/16.71  											| (10766) all_0_20_20 = 0 | (all_91_0_6114 = 0 & p(all_91_1_6115) = 0)
% 56.05/16.71  											|
% 56.05/16.71  											+-Applying beta-rule and splitting (10766), into two cases.
% 56.05/16.71  											|-Branch one:
% 56.05/16.71  											| (81) all_0_20_20 = 0
% 56.05/16.71  											|
% 56.05/16.71  												| Equations (81) can reduce 34 to:
% 56.05/16.71  												| (59) $false
% 56.05/16.71  												|
% 56.05/16.71  												|-The branch is then unsatisfiable
% 56.05/16.71  											|-Branch two:
% 56.05/16.71  											| (34)  ~ (all_0_20_20 = 0)
% 56.05/16.71  											| (10770) all_91_0_6114 = 0 & p(all_91_1_6115) = 0
% 56.05/16.71  											|
% 56.05/16.71  												| Applying alpha-rule on (10770) yields:
% 56.05/16.71  												| (10771) all_91_0_6114 = 0
% 56.05/16.71  												| (10772) p(all_91_1_6115) = 0
% 56.05/16.71  												|
% 56.05/16.71  												+-Applying beta-rule and splitting (1625), into two cases.
% 56.05/16.71  												|-Branch one:
% 56.05/16.71  												| (1642) all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0
% 56.05/16.71  												|
% 56.05/16.71  													| Applying alpha-rule on (1642) yields:
% 56.05/16.71  													| (74) all_0_14_14 = 0
% 56.05/16.71  													| (71)  ~ (all_0_16_16 = 0)
% 56.05/16.71  													| (23) q(all_0_17_17) = all_0_16_16
% 56.05/16.71  													| (105) p(all_0_15_15) = 0
% 56.05/16.71  													|
% 56.05/16.71  													| Instantiating formula (9014) with all_0_16_16, all_0_17_17 and discharging atoms q(all_0_17_17) = all_0_16_16, yields:
% 56.05/16.71  													| (9691)  ~ (all_0_6_6 = 0) | all_0_16_16 = 0
% 56.05/16.71  													|
% 56.05/16.71  													+-Applying beta-rule and splitting (9691), into two cases.
% 56.05/16.71  													|-Branch one:
% 56.05/16.71  													| (2980)  ~ (all_0_6_6 = 0)
% 56.05/16.71  													|
% 56.05/16.71  														| Equations (54) can reduce 2980 to:
% 56.05/16.71  														| (59) $false
% 56.05/16.71  														|
% 56.05/16.71  														|-The branch is then unsatisfiable
% 56.05/16.71  													|-Branch two:
% 56.05/16.71  													| (54) all_0_6_6 = 0
% 56.05/16.71  													| (42) all_0_16_16 = 0
% 56.05/16.71  													|
% 56.05/16.71  														| Equations (42) can reduce 71 to:
% 56.05/16.71  														| (59) $false
% 56.05/16.71  														|
% 56.05/16.71  														|-The branch is then unsatisfiable
% 56.05/16.71  												|-Branch two:
% 56.05/16.71  												| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 56.05/16.71  												|
% 56.05/16.71  													| Applying alpha-rule on (76) yields:
% 56.05/16.71  													| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 56.05/16.71  													| (78)  ! [v0] :  ~ (p(v0) = 0)
% 56.05/16.71  													|
% 56.05/16.71  													| Instantiating formula (78) with all_91_1_6115 and discharging atoms p(all_91_1_6115) = 0, yields:
% 56.05/16.71  													| (79) $false
% 56.05/16.71  													|
% 56.05/16.71  													|-The branch is then unsatisfiable
% 56.05/16.71  										|-Branch two:
% 56.05/16.71  										| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 56.05/16.71  										|
% 56.05/16.71  											| Applying alpha-rule on (60) yields:
% 56.05/16.71  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 56.05/16.71  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 56.05/16.71  											|
% 56.05/16.71  											| Instantiating formula (62) with all_63_1_6109 and discharging atoms s(all_63_1_6109) = 0, yields:
% 56.05/16.71  											| (79) $false
% 56.05/16.71  											|
% 56.05/16.71  											|-The branch is then unsatisfiable
% 56.05/16.71  						|-Branch two:
% 56.05/16.71  						| (9194)  ~ (all_0_4_4 = 0) & r(all_0_5_5) = all_0_4_4 &  ! [v0] :  ~ (q(v0) = 0)
% 56.05/16.71  						|
% 56.05/16.71  							| Applying alpha-rule on (9194) yields:
% 56.05/16.71  							| (214)  ~ (all_0_4_4 = 0)
% 56.05/16.71  							| (28) r(all_0_5_5) = all_0_4_4
% 56.05/16.71  							| (212)  ! [v0] :  ~ (q(v0) = 0)
% 56.05/16.71  							|
% 56.05/16.71  							| Instantiating formula (1496) with all_0_4_4, all_0_5_5 and discharging atoms r(all_0_5_5) = all_0_4_4, yields:
% 56.05/16.71  							| (3142)  ~ (all_0_12_12 = 0) | all_0_4_4 = 0
% 56.05/16.71  							|
% 56.05/16.71  							+-Applying beta-rule and splitting (3142), into two cases.
% 56.05/16.71  							|-Branch one:
% 56.05/16.71  							| (135)  ~ (all_0_12_12 = 0)
% 56.05/16.71  							|
% 56.05/16.71  								| Equations (66) can reduce 135 to:
% 56.05/16.71  								| (59) $false
% 56.05/16.71  								|
% 56.05/16.71  								|-The branch is then unsatisfiable
% 56.05/16.71  							|-Branch two:
% 56.05/16.71  							| (66) all_0_12_12 = 0
% 56.05/16.71  							| (37) all_0_4_4 = 0
% 56.05/16.71  							|
% 56.05/16.71  								| Equations (37) can reduce 214 to:
% 56.05/16.71  								| (59) $false
% 56.05/16.71  								|
% 56.05/16.71  								|-The branch is then unsatisfiable
% 56.05/16.71  					|-Branch two:
% 56.05/16.71  					| (219)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)
% 56.05/16.71  					|
% 56.05/16.71  						| Applying alpha-rule on (219) yields:
% 56.05/16.71  						| (220)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))
% 56.05/16.71  						| (221)  ! [v0] :  ~ (r(v0) = 0)
% 56.05/16.71  						|
% 56.05/16.71  						+-Applying beta-rule and splitting (9007), into two cases.
% 56.05/16.71  						|-Branch one:
% 56.05/16.71  						| (9027) all_0_4_4 = 0 & q(all_0_5_5) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 56.05/16.71  						|
% 56.05/16.71  							| Applying alpha-rule on (9027) yields:
% 56.05/16.71  							| (37) all_0_4_4 = 0
% 56.05/16.72  							| (9029) q(all_0_5_5) = 0
% 56.05/16.72  							| (41)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 56.05/16.72  							|
% 56.05/16.72  							| Instantiating formula (41) with all_0_12_12, all_0_13_13 and discharging atoms r(all_0_13_13) = all_0_12_12, yields:
% 56.05/16.72  							| (66) all_0_12_12 = 0
% 56.05/16.72  							|
% 56.05/16.72  							| From (66) and (1495) follows:
% 56.05/16.72  							| (1676) r(all_0_13_13) = 0
% 56.05/16.72  							|
% 56.05/16.72  							| Instantiating formula (221) with all_0_13_13 and discharging atoms r(all_0_13_13) = 0, yields:
% 56.05/16.72  							| (79) $false
% 56.05/16.72  							|
% 56.05/16.72  							|-The branch is then unsatisfiable
% 56.05/16.72  						|-Branch two:
% 56.05/16.72  						| (9194)  ~ (all_0_4_4 = 0) & r(all_0_5_5) = all_0_4_4 &  ! [v0] :  ~ (q(v0) = 0)
% 56.05/16.72  						|
% 56.05/16.72  							| Applying alpha-rule on (9194) yields:
% 56.05/16.72  							| (214)  ~ (all_0_4_4 = 0)
% 56.05/16.72  							| (28) r(all_0_5_5) = all_0_4_4
% 56.05/16.72  							| (212)  ! [v0] :  ~ (q(v0) = 0)
% 56.05/16.72  							|
% 56.05/16.72  							+-Applying beta-rule and splitting (1498), into two cases.
% 56.05/16.72  							|-Branch one:
% 56.05/16.72  							| (1509) ((all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))
% 56.05/16.72  							|
% 56.05/16.72  								| Applying alpha-rule on (1509) yields:
% 56.05/16.72  								| (1510) (all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))
% 56.05/16.72  								| (1511) (s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))))
% 56.05/16.72  								|
% 56.05/16.72  								+-Applying beta-rule and splitting (1511), into two cases.
% 56.05/16.72  								|-Branch one:
% 56.05/16.72  								| (1512) s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 56.05/16.72  								|
% 56.05/16.72  									| Applying alpha-rule on (1512) yields:
% 56.05/16.72  									| (1513) s(all_0_17_17) = all_0_16_16
% 56.05/16.72  									| (1514)  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 56.05/16.72  									| (1515)  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0))
% 56.05/16.72  									| (1516) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 56.05/16.72  									|
% 56.05/16.72  									| Instantiating formula (220) with all_0_16_16, all_0_17_17 and discharging atoms s(all_0_17_17) = all_0_16_16, yields:
% 56.05/16.72  									| (42) all_0_16_16 = 0
% 56.05/16.72  									|
% 56.05/16.72  									| From (42) and (1513) follows:
% 56.05/16.72  									| (1518) s(all_0_17_17) = 0
% 56.05/16.72  									|
% 56.05/16.72  									+-Applying beta-rule and splitting (1510), into two cases.
% 56.05/16.72  									|-Branch one:
% 56.05/16.72  									| (1519) all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 56.05/16.72  									|
% 56.05/16.72  										| Applying alpha-rule on (1519) yields:
% 56.05/16.72  										| (74) all_0_14_14 = 0
% 56.05/16.72  										| (1521) s(all_0_15_15) = 0
% 56.05/16.72  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 56.05/16.72  										|
% 56.05/16.72  										+-Applying beta-rule and splitting (1516), into two cases.
% 56.05/16.72  										|-Branch one:
% 56.05/16.72  										| (1525) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0
% 56.05/16.72  										|
% 56.05/16.72  											| Applying alpha-rule on (1525) yields:
% 56.05/16.72  											| (33) all_0_18_18 = 0
% 56.05/16.72  											| (34)  ~ (all_0_20_20 = 0)
% 56.05/16.72  											| (1528) q(all_0_21_21) = all_0_20_20
% 56.05/16.72  											| (1529) p(all_0_19_19) = 0
% 56.05/16.72  											|
% 56.05/16.72  											| Instantiating formula (5867) with 0, all_0_19_19 and discharging atoms p(all_0_19_19) = 0, yields:
% 56.05/16.72  											| (5930)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & p(v0) = v1)
% 56.05/16.72  											|
% 56.05/16.72  											| Instantiating (5930) with all_81_0_6152, all_81_1_6153 yields:
% 56.05/16.72  											| (10836)  ~ (all_81_0_6152 = 0) & p(all_81_1_6153) = all_81_0_6152
% 56.05/16.72  											|
% 56.05/16.72  											| Applying alpha-rule on (10836) yields:
% 56.05/16.72  											| (10837)  ~ (all_81_0_6152 = 0)
% 56.05/16.72  											| (10838) p(all_81_1_6153) = all_81_0_6152
% 56.05/16.72  											|
% 56.05/16.72  											| Instantiating formula (61) with all_81_0_6152, all_81_1_6153 and discharging atoms p(all_81_1_6153) = all_81_0_6152, yields:
% 56.05/16.72  											| (10839) all_81_0_6152 = 0
% 56.05/16.72  											|
% 56.05/16.72  											| Equations (10839) can reduce 10837 to:
% 56.05/16.72  											| (59) $false
% 56.05/16.72  											|
% 56.05/16.72  											|-The branch is then unsatisfiable
% 56.05/16.72  										|-Branch two:
% 56.05/16.72  										| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 56.05/16.72  										|
% 56.05/16.72  											| Applying alpha-rule on (76) yields:
% 56.05/16.72  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 56.05/16.72  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 56.05/16.72  											|
% 56.05/16.72  											| Instantiating formula (77) with all_0_6_6, all_0_7_7 and discharging atoms q(all_0_7_7) = all_0_6_6, yields:
% 56.05/16.72  											| (54) all_0_6_6 = 0
% 56.05/16.72  											|
% 56.05/16.72  											| From (54) and (9013) follows:
% 56.05/16.72  											| (9254) q(all_0_7_7) = 0
% 56.05/16.72  											|
% 56.05/16.72  											| Instantiating formula (212) with all_0_7_7 and discharging atoms q(all_0_7_7) = 0, yields:
% 56.05/16.72  											| (79) $false
% 56.05/16.72  											|
% 56.05/16.72  											|-The branch is then unsatisfiable
% 56.05/16.72  									|-Branch two:
% 56.05/16.72  									| (1540)  ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0)
% 56.05/16.72  									|
% 56.05/16.72  										| Applying alpha-rule on (1540) yields:
% 56.05/16.72  										| (67)  ~ (all_0_14_14 = 0)
% 56.05/16.72  										| (475) p(all_0_15_15) = all_0_14_14
% 56.05/16.72  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 56.05/16.72  										|
% 56.05/16.72  										| Instantiating formula (62) with all_0_17_17 and discharging atoms s(all_0_17_17) = 0, yields:
% 56.05/16.72  										| (79) $false
% 56.05/16.72  										|
% 56.05/16.72  										|-The branch is then unsatisfiable
% 56.05/16.72  								|-Branch two:
% 56.05/16.72  								| (1545)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))
% 56.05/16.72  								|
% 56.05/16.72  									| Applying alpha-rule on (1545) yields:
% 56.05/16.72  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 56.05/16.72  									| (1547) (all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))
% 56.05/16.72  									|
% 56.05/16.72  									+-Applying beta-rule and splitting (1510), into two cases.
% 56.05/16.72  									|-Branch one:
% 56.05/16.72  									| (1519) all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 56.05/16.72  									|
% 56.05/16.72  										| Applying alpha-rule on (1519) yields:
% 56.05/16.72  										| (74) all_0_14_14 = 0
% 56.05/16.72  										| (1521) s(all_0_15_15) = 0
% 56.05/16.72  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 56.05/16.72  										|
% 56.05/16.72  										| Instantiating formula (84) with 0, all_0_15_15 and discharging atoms s(all_0_15_15) = 0, yields:
% 56.05/16.72  										| (278)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & s(v0) = v1)
% 56.05/16.72  										|
% 56.05/16.72  										| Instantiating (278) with all_66_0_6154, all_66_1_6155 yields:
% 56.05/16.72  										| (10860)  ~ (all_66_0_6154 = 0) & s(all_66_1_6155) = all_66_0_6154
% 56.05/16.72  										|
% 56.05/16.72  										| Applying alpha-rule on (10860) yields:
% 56.05/16.72  										| (10861)  ~ (all_66_0_6154 = 0)
% 56.05/16.72  										| (10862) s(all_66_1_6155) = all_66_0_6154
% 56.05/16.72  										|
% 56.05/16.72  										| Instantiating formula (220) with all_66_0_6154, all_66_1_6155 and discharging atoms s(all_66_1_6155) = all_66_0_6154, yields:
% 56.05/16.73  										| (10863) all_66_0_6154 = 0
% 56.05/16.73  										|
% 56.05/16.73  										| Equations (10863) can reduce 10861 to:
% 56.05/16.73  										| (59) $false
% 56.05/16.73  										|
% 56.05/16.73  										|-The branch is then unsatisfiable
% 56.05/16.73  									|-Branch two:
% 56.05/16.73  									| (1540)  ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0)
% 56.05/16.73  									|
% 56.05/16.73  										| Applying alpha-rule on (1540) yields:
% 56.05/16.73  										| (67)  ~ (all_0_14_14 = 0)
% 56.05/16.73  										| (475) p(all_0_15_15) = all_0_14_14
% 56.05/16.73  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 56.05/16.73  										|
% 56.05/16.73  										| Instantiating formula (5867) with all_0_14_14, all_0_15_15 and discharging atoms p(all_0_15_15) = all_0_14_14, yields:
% 56.22/16.73  										| (6381)  ? [v0] :  ? [v1] : (( ~ (all_0_14_14 = 0) | ( ~ (v1 = 0) & p(v0) = v1)) & (all_0_14_14 = 0 | (v1 = 0 & p(v0) = 0)))
% 56.22/16.73  										|
% 56.22/16.73  										| Instantiating (6381) with all_66_0_6156, all_66_1_6157 yields:
% 56.22/16.73  										| (10870) ( ~ (all_0_14_14 = 0) | ( ~ (all_66_0_6156 = 0) & p(all_66_1_6157) = all_66_0_6156)) & (all_0_14_14 = 0 | (all_66_0_6156 = 0 & p(all_66_1_6157) = 0))
% 56.22/16.73  										|
% 56.22/16.73  										| Applying alpha-rule on (10870) yields:
% 56.22/16.73  										| (10871)  ~ (all_0_14_14 = 0) | ( ~ (all_66_0_6156 = 0) & p(all_66_1_6157) = all_66_0_6156)
% 56.22/16.73  										| (10872) all_0_14_14 = 0 | (all_66_0_6156 = 0 & p(all_66_1_6157) = 0)
% 56.22/16.73  										|
% 56.22/16.73  										+-Applying beta-rule and splitting (1547), into two cases.
% 56.22/16.73  										|-Branch one:
% 56.22/16.73  										| (1563) all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 56.22/16.73  										|
% 56.22/16.73  											| Applying alpha-rule on (1563) yields:
% 56.22/16.73  											| (81) all_0_20_20 = 0
% 56.22/16.73  											| (1565) p(all_0_21_21) = 0
% 56.22/16.73  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 56.22/16.73  											|
% 56.22/16.73  											| Instantiating formula (77) with all_0_6_6, all_0_7_7 and discharging atoms q(all_0_7_7) = all_0_6_6, yields:
% 56.22/16.73  											| (54) all_0_6_6 = 0
% 56.22/16.73  											|
% 56.22/16.73  											| From (54) and (9013) follows:
% 56.22/16.73  											| (9254) q(all_0_7_7) = 0
% 56.22/16.73  											|
% 56.22/16.73  											| Instantiating formula (212) with all_0_7_7 and discharging atoms q(all_0_7_7) = 0, yields:
% 56.22/16.73  											| (79) $false
% 56.22/16.73  											|
% 56.22/16.73  											|-The branch is then unsatisfiable
% 56.22/16.73  										|-Branch two:
% 56.22/16.73  										| (1573)  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)
% 56.22/16.73  										|
% 56.22/16.73  											| Applying alpha-rule on (1573) yields:
% 56.22/16.73  											| (34)  ~ (all_0_20_20 = 0)
% 56.22/16.73  											| (1528) q(all_0_21_21) = all_0_20_20
% 56.22/16.73  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 56.22/16.73  											|
% 56.22/16.73  											+-Applying beta-rule and splitting (10872), into two cases.
% 56.22/16.73  											|-Branch one:
% 56.22/16.73  											| (74) all_0_14_14 = 0
% 56.22/16.73  											|
% 56.22/16.73  												| Equations (74) can reduce 67 to:
% 56.22/16.73  												| (59) $false
% 56.22/16.73  												|
% 56.22/16.73  												|-The branch is then unsatisfiable
% 56.22/16.73  											|-Branch two:
% 56.22/16.73  											| (67)  ~ (all_0_14_14 = 0)
% 56.22/16.73  											| (10887) all_66_0_6156 = 0 & p(all_66_1_6157) = 0
% 56.22/16.73  											|
% 56.22/16.73  												| Applying alpha-rule on (10887) yields:
% 56.22/16.73  												| (10888) all_66_0_6156 = 0
% 56.22/16.73  												| (10889) p(all_66_1_6157) = 0
% 56.22/16.73  												|
% 56.22/16.73  												| Instantiating formula (78) with all_66_1_6157 and discharging atoms p(all_66_1_6157) = 0, yields:
% 56.22/16.73  												| (79) $false
% 56.22/16.73  												|
% 56.22/16.73  												|-The branch is then unsatisfiable
% 56.22/16.73  							|-Branch two:
% 56.22/16.73  							| (1583) ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))
% 56.22/16.73  							|
% 56.22/16.73  								| Applying alpha-rule on (1583) yields:
% 56.22/16.73  								| (1584) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))
% 56.22/16.73  								| (1585) (s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))
% 56.22/16.73  								|
% 56.22/16.73  								+-Applying beta-rule and splitting (1585), into two cases.
% 56.22/16.73  								|-Branch one:
% 56.22/16.73  								| (1586) s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))
% 56.22/16.73  								|
% 56.22/16.73  									| Applying alpha-rule on (1586) yields:
% 56.22/16.73  									| (1587) s(all_0_15_15) = all_0_14_14
% 56.22/16.73  									| (1588)  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 56.22/16.73  									| (1589)  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0))
% 56.22/16.73  									| (1590) (all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0))
% 56.22/16.73  									|
% 56.22/16.73  									| Instantiating formula (220) with all_0_14_14, all_0_15_15 and discharging atoms s(all_0_15_15) = all_0_14_14, yields:
% 56.22/16.73  									| (74) all_0_14_14 = 0
% 56.22/16.73  									|
% 56.22/16.73  									| From (74) and (1587) follows:
% 56.22/16.73  									| (1521) s(all_0_15_15) = 0
% 56.22/16.73  									|
% 56.22/16.73  									+-Applying beta-rule and splitting (1584), into two cases.
% 56.22/16.73  									|-Branch one:
% 56.22/16.73  									| (1593) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20
% 56.22/16.73  									|
% 56.22/16.73  										| Applying alpha-rule on (1593) yields:
% 56.22/16.73  										| (33) all_0_18_18 = 0
% 56.22/16.73  										| (34)  ~ (all_0_20_20 = 0)
% 56.22/16.73  										| (1596) s(all_0_19_19) = 0
% 56.22/16.73  										| (1597) p(all_0_21_21) = all_0_20_20
% 56.22/16.73  										|
% 56.22/16.73  										| Instantiating formula (5867) with all_0_20_20, all_0_21_21 and discharging atoms p(all_0_21_21) = all_0_20_20, yields:
% 56.22/16.73  										| (7561)  ? [v0] :  ? [v1] : (( ~ (all_0_20_20 = 0) | ( ~ (v1 = 0) & p(v0) = v1)) & (all_0_20_20 = 0 | (v1 = 0 & p(v0) = 0)))
% 56.22/16.73  										|
% 56.22/16.73  										| Instantiating (7561) with all_73_0_6158, all_73_1_6159 yields:
% 56.22/16.73  										| (10907) ( ~ (all_0_20_20 = 0) | ( ~ (all_73_0_6158 = 0) & p(all_73_1_6159) = all_73_0_6158)) & (all_0_20_20 = 0 | (all_73_0_6158 = 0 & p(all_73_1_6159) = 0))
% 56.22/16.73  										|
% 56.22/16.74  										| Applying alpha-rule on (10907) yields:
% 56.22/16.74  										| (10908)  ~ (all_0_20_20 = 0) | ( ~ (all_73_0_6158 = 0) & p(all_73_1_6159) = all_73_0_6158)
% 56.22/16.74  										| (10909) all_0_20_20 = 0 | (all_73_0_6158 = 0 & p(all_73_1_6159) = 0)
% 56.22/16.74  										|
% 56.22/16.74  										+-Applying beta-rule and splitting (1590), into two cases.
% 56.22/16.74  										|-Branch one:
% 56.22/16.74  										| (1599) all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 56.22/16.74  										|
% 56.22/16.74  											| Applying alpha-rule on (1599) yields:
% 56.22/16.74  											| (42) all_0_16_16 = 0
% 56.22/16.74  											| (1601) p(all_0_17_17) = 0
% 56.22/16.74  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 56.22/16.74  											|
% 56.22/16.74  											| Instantiating formula (77) with all_0_6_6, all_0_7_7 and discharging atoms q(all_0_7_7) = all_0_6_6, yields:
% 56.22/16.74  											| (54) all_0_6_6 = 0
% 56.22/16.74  											|
% 56.22/16.74  											| From (54) and (9013) follows:
% 56.22/16.74  											| (9254) q(all_0_7_7) = 0
% 56.22/16.74  											|
% 56.22/16.74  											| Instantiating formula (212) with all_0_7_7 and discharging atoms q(all_0_7_7) = 0, yields:
% 56.22/16.74  											| (79) $false
% 56.22/16.74  											|
% 56.22/16.74  											|-The branch is then unsatisfiable
% 56.22/16.74  										|-Branch two:
% 56.22/16.74  										| (1609)  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)
% 56.22/16.74  										|
% 56.22/16.74  											| Applying alpha-rule on (1609) yields:
% 56.22/16.74  											| (71)  ~ (all_0_16_16 = 0)
% 56.22/16.74  											| (23) q(all_0_17_17) = all_0_16_16
% 56.22/16.74  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 56.22/16.74  											|
% 56.22/16.74  											+-Applying beta-rule and splitting (10909), into two cases.
% 56.22/16.74  											|-Branch one:
% 56.22/16.74  											| (81) all_0_20_20 = 0
% 56.22/16.74  											|
% 56.22/16.74  												| Equations (81) can reduce 34 to:
% 56.22/16.74  												| (59) $false
% 56.22/16.74  												|
% 56.22/16.74  												|-The branch is then unsatisfiable
% 56.22/16.74  											|-Branch two:
% 56.22/16.74  											| (34)  ~ (all_0_20_20 = 0)
% 56.22/16.74  											| (10924) all_73_0_6158 = 0 & p(all_73_1_6159) = 0
% 56.22/16.74  											|
% 56.22/16.74  												| Applying alpha-rule on (10924) yields:
% 56.22/16.74  												| (10925) all_73_0_6158 = 0
% 56.22/16.74  												| (10926) p(all_73_1_6159) = 0
% 56.22/16.74  												|
% 56.22/16.74  												| Instantiating formula (78) with all_73_1_6159 and discharging atoms p(all_73_1_6159) = 0, yields:
% 56.22/16.74  												| (79) $false
% 56.22/16.74  												|
% 56.22/16.74  												|-The branch is then unsatisfiable
% 56.22/16.74  									|-Branch two:
% 56.22/16.74  									| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 56.22/16.74  									|
% 56.22/16.74  										| Applying alpha-rule on (60) yields:
% 56.22/16.74  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 56.22/16.74  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 56.22/16.74  										|
% 56.22/16.74  										| Instantiating formula (62) with all_0_15_15 and discharging atoms s(all_0_15_15) = 0, yields:
% 56.22/16.74  										| (79) $false
% 56.22/16.74  										|
% 56.22/16.74  										|-The branch is then unsatisfiable
% 56.22/16.74  								|-Branch two:
% 56.22/16.74  								| (1623)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 56.22/16.74  								|
% 56.22/16.74  									| Applying alpha-rule on (1623) yields:
% 56.22/16.74  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 56.22/16.74  									| (1625) (all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 56.22/16.74  									|
% 56.22/16.74  									+-Applying beta-rule and splitting (1584), into two cases.
% 56.22/16.74  									|-Branch one:
% 56.22/16.74  									| (1593) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20
% 56.22/16.74  									|
% 56.22/16.74  										| Applying alpha-rule on (1593) yields:
% 56.22/16.74  										| (33) all_0_18_18 = 0
% 56.22/16.74  										| (34)  ~ (all_0_20_20 = 0)
% 56.22/16.74  										| (1596) s(all_0_19_19) = 0
% 56.22/16.74  										| (1597) p(all_0_21_21) = all_0_20_20
% 56.22/16.74  										|
% 56.22/16.74  										| Instantiating formula (84) with 0, all_0_19_19 and discharging atoms s(all_0_19_19) = 0, yields:
% 56.22/16.74  										| (278)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & s(v0) = v1)
% 56.22/16.74  										|
% 56.22/16.74  										| Instantiating (278) with all_66_0_6162, all_66_1_6163 yields:
% 56.22/16.74  										| (10941)  ~ (all_66_0_6162 = 0) & s(all_66_1_6163) = all_66_0_6162
% 56.22/16.74  										|
% 56.22/16.74  										| Applying alpha-rule on (10941) yields:
% 56.22/16.74  										| (10942)  ~ (all_66_0_6162 = 0)
% 56.22/16.74  										| (10943) s(all_66_1_6163) = all_66_0_6162
% 56.22/16.74  										|
% 56.22/16.74  										| Instantiating formula (220) with all_66_0_6162, all_66_1_6163 and discharging atoms s(all_66_1_6163) = all_66_0_6162, yields:
% 56.22/16.74  										| (10944) all_66_0_6162 = 0
% 56.22/16.74  										|
% 56.22/16.74  										| Equations (10944) can reduce 10942 to:
% 56.22/16.74  										| (59) $false
% 56.22/16.74  										|
% 56.22/16.74  										|-The branch is then unsatisfiable
% 56.22/16.74  									|-Branch two:
% 56.22/16.74  									| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 56.22/16.74  									|
% 56.22/16.74  										| Applying alpha-rule on (60) yields:
% 56.22/16.74  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 56.22/16.74  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 56.22/16.74  										|
% 56.22/16.74  										+-Applying beta-rule and splitting (1625), into two cases.
% 56.22/16.74  										|-Branch one:
% 56.22/16.74  										| (1642) all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0
% 56.22/16.74  										|
% 56.22/16.74  											| Applying alpha-rule on (1642) yields:
% 56.22/16.74  											| (74) all_0_14_14 = 0
% 56.22/16.74  											| (71)  ~ (all_0_16_16 = 0)
% 56.22/16.74  											| (23) q(all_0_17_17) = all_0_16_16
% 56.22/16.74  											| (105) p(all_0_15_15) = 0
% 56.22/16.74  											|
% 56.22/16.74  											| Instantiating formula (5867) with 0, all_0_15_15 and discharging atoms p(all_0_15_15) = 0, yields:
% 56.22/16.74  											| (5930)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & p(v0) = v1)
% 56.22/16.74  											|
% 56.22/16.74  											| Instantiating (5930) with all_72_0_6164, all_72_1_6165 yields:
% 56.22/16.74  											| (10955)  ~ (all_72_0_6164 = 0) & p(all_72_1_6165) = all_72_0_6164
% 56.22/16.74  											|
% 56.22/16.74  											| Applying alpha-rule on (10955) yields:
% 56.22/16.74  											| (10956)  ~ (all_72_0_6164 = 0)
% 56.22/16.74  											| (10957) p(all_72_1_6165) = all_72_0_6164
% 56.22/16.74  											|
% 56.22/16.74  											| Instantiating formula (61) with all_72_0_6164, all_72_1_6165 and discharging atoms p(all_72_1_6165) = all_72_0_6164, yields:
% 56.22/16.74  											| (10958) all_72_0_6164 = 0
% 56.22/16.74  											|
% 56.22/16.75  											| Equations (10958) can reduce 10956 to:
% 56.22/16.75  											| (59) $false
% 56.22/16.75  											|
% 56.22/16.75  											|-The branch is then unsatisfiable
% 56.22/16.75  										|-Branch two:
% 56.22/16.75  										| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 56.22/16.75  										|
% 56.22/16.75  											| Applying alpha-rule on (76) yields:
% 56.22/16.75  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 56.22/16.75  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 56.22/16.75  											|
% 56.22/16.75  											| Instantiating formula (77) with all_0_6_6, all_0_7_7 and discharging atoms q(all_0_7_7) = all_0_6_6, yields:
% 56.22/16.75  											| (54) all_0_6_6 = 0
% 56.22/16.75  											|
% 56.22/16.75  											| From (54) and (9013) follows:
% 56.22/16.75  											| (9254) q(all_0_7_7) = 0
% 56.22/16.75  											|
% 56.22/16.75  											| Instantiating formula (212) with all_0_7_7 and discharging atoms q(all_0_7_7) = 0, yields:
% 56.22/16.75  											| (79) $false
% 56.22/16.75  											|
% 56.22/16.75  											|-The branch is then unsatisfiable
% 56.22/16.75  				|-Branch two:
% 56.22/16.75  				| (1836)  ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))
% 56.22/16.75  				|
% 56.22/16.75  					| Applying alpha-rule on (1836) yields:
% 56.22/16.75  					| (370)  ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0))))
% 56.22/16.75  					| (1838) (((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))
% 56.22/16.75  					|
% 56.22/16.75  					+-Applying beta-rule and splitting (2185), into two cases.
% 56.22/16.75  					|-Branch one:
% 56.22/16.75  					| (2191) all_0_8_8 = 0 &  ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 & r(all_0_9_9) = 0
% 56.22/16.75  					|
% 56.22/16.75  						| Applying alpha-rule on (2191) yields:
% 56.22/16.75  						| (120) all_0_8_8 = 0
% 56.22/16.75  						| (52)  ~ (all_0_10_10 = 0)
% 56.22/16.75  						| (47) s(all_0_11_11) = all_0_10_10
% 56.22/16.75  						| (2195) r(all_0_9_9) = 0
% 56.22/16.75  						|
% 56.22/16.75  						| Instantiating formula (370) with 0, all_0_9_9 and discharging atoms r(all_0_9_9) = 0, yields:
% 56.22/16.75  						| (377)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & r(v0) = v1)
% 56.22/16.75  						|
% 56.22/16.75  						| Instantiating (377) with all_40_0_6166, all_40_1_6167 yields:
% 56.22/16.75  						| (10975)  ~ (all_40_0_6166 = 0) & r(all_40_1_6167) = all_40_0_6166
% 56.22/16.75  						|
% 56.22/16.75  						| Applying alpha-rule on (10975) yields:
% 56.22/16.75  						| (10976)  ~ (all_40_0_6166 = 0)
% 56.22/16.75  						| (10977) r(all_40_1_6167) = all_40_0_6166
% 56.22/16.75  						|
% 56.22/16.75  						+-Applying beta-rule and splitting (9007), into two cases.
% 56.22/16.75  						|-Branch one:
% 56.22/16.75  						| (9027) all_0_4_4 = 0 & q(all_0_5_5) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 56.22/16.75  						|
% 56.22/16.75  							| Applying alpha-rule on (9027) yields:
% 56.22/16.75  							| (37) all_0_4_4 = 0
% 56.22/16.75  							| (9029) q(all_0_5_5) = 0
% 56.22/16.75  							| (41)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 56.22/16.75  							|
% 56.22/16.75  							| Instantiating formula (41) with all_40_0_6166, all_40_1_6167 and discharging atoms r(all_40_1_6167) = all_40_0_6166, yields:
% 56.22/16.75  							| (10982) all_40_0_6166 = 0
% 56.22/16.75  							|
% 56.22/16.75  							| Equations (10982) can reduce 10976 to:
% 56.22/16.75  							| (59) $false
% 56.22/16.75  							|
% 56.22/16.75  							|-The branch is then unsatisfiable
% 56.22/16.75  						|-Branch two:
% 56.22/16.75  						| (9194)  ~ (all_0_4_4 = 0) & r(all_0_5_5) = all_0_4_4 &  ! [v0] :  ~ (q(v0) = 0)
% 56.22/16.75  						|
% 56.22/16.75  							| Applying alpha-rule on (9194) yields:
% 56.22/16.75  							| (214)  ~ (all_0_4_4 = 0)
% 56.22/16.75  							| (28) r(all_0_5_5) = all_0_4_4
% 56.22/16.75  							| (212)  ! [v0] :  ~ (q(v0) = 0)
% 56.22/16.75  							|
% 56.22/16.75  							+-Applying beta-rule and splitting (1838), into two cases.
% 56.22/16.75  							|-Branch one:
% 56.22/16.75  							| (1857) ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))
% 56.22/16.75  							|
% 56.22/16.75  								| Applying alpha-rule on (1857) yields:
% 56.22/16.75  								| (469) (all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))
% 56.22/16.75  								| (1511) (s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))))
% 56.22/16.75  								|
% 56.22/16.75  								+-Applying beta-rule and splitting (469), into two cases.
% 56.22/16.75  								|-Branch one:
% 56.22/16.75  								| (471) all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14
% 56.22/16.75  								|
% 56.22/16.75  									| Applying alpha-rule on (471) yields:
% 56.22/16.75  									| (66) all_0_12_12 = 0
% 56.22/16.75  									| (67)  ~ (all_0_14_14 = 0)
% 56.22/16.75  									| (310) s(all_0_13_13) = 0
% 56.22/16.75  									| (475) p(all_0_15_15) = all_0_14_14
% 56.22/16.75  									|
% 56.22/16.75  									+-Applying beta-rule and splitting (1511), into two cases.
% 56.22/16.75  									|-Branch one:
% 56.22/16.75  									| (1512) s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 56.22/16.75  									|
% 56.22/16.75  										| Applying alpha-rule on (1512) yields:
% 56.22/16.75  										| (1513) s(all_0_17_17) = all_0_16_16
% 56.22/16.75  										| (1514)  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 56.22/16.75  										| (1515)  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0))
% 56.22/16.75  										| (1516) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 56.22/16.75  										|
% 56.22/16.75  										| Instantiating formula (1514) with all_0_10_10, all_0_11_11 and discharging atoms s(all_0_11_11) = all_0_10_10, yields:
% 56.22/16.75  										| (657)  ~ (all_0_16_16 = 0) | all_0_10_10 = 0
% 56.22/16.75  										|
% 56.22/16.75  										| Instantiating formula (1515) with all_0_13_13 and discharging atoms s(all_0_13_13) = 0, yields:
% 56.22/16.76  										| (42) all_0_16_16 = 0
% 56.22/16.76  										|
% 56.22/16.76  										+-Applying beta-rule and splitting (657), into two cases.
% 56.22/16.76  										|-Branch one:
% 56.22/16.76  										| (71)  ~ (all_0_16_16 = 0)
% 56.22/16.76  										|
% 56.22/16.76  											| Equations (42) can reduce 71 to:
% 56.22/16.76  											| (59) $false
% 56.22/16.76  											|
% 56.22/16.76  											|-The branch is then unsatisfiable
% 56.22/16.76  										|-Branch two:
% 56.22/16.76  										| (42) all_0_16_16 = 0
% 56.22/16.76  										| (58) all_0_10_10 = 0
% 56.22/16.76  										|
% 56.22/16.76  											| Equations (58) can reduce 52 to:
% 56.22/16.76  											| (59) $false
% 56.22/16.76  											|
% 56.22/16.76  											|-The branch is then unsatisfiable
% 56.22/16.76  									|-Branch two:
% 56.22/16.76  									| (1545)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))
% 56.22/16.76  									|
% 56.22/16.76  										| Applying alpha-rule on (1545) yields:
% 56.22/16.76  										| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 56.22/16.76  										| (1547) (all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))
% 56.22/16.76  										|
% 56.22/16.76  										| Instantiating formula (5867) with all_0_14_14, all_0_15_15 and discharging atoms p(all_0_15_15) = all_0_14_14, yields:
% 56.22/16.76  										| (6381)  ? [v0] :  ? [v1] : (( ~ (all_0_14_14 = 0) | ( ~ (v1 = 0) & p(v0) = v1)) & (all_0_14_14 = 0 | (v1 = 0 & p(v0) = 0)))
% 56.22/16.76  										|
% 56.22/16.76  										| Instantiating (6381) with all_281_0_6240, all_281_1_6241 yields:
% 56.22/16.76  										| (11012) ( ~ (all_0_14_14 = 0) | ( ~ (all_281_0_6240 = 0) & p(all_281_1_6241) = all_281_0_6240)) & (all_0_14_14 = 0 | (all_281_0_6240 = 0 & p(all_281_1_6241) = 0))
% 56.22/16.76  										|
% 56.22/16.76  										| Applying alpha-rule on (11012) yields:
% 56.22/16.76  										| (11013)  ~ (all_0_14_14 = 0) | ( ~ (all_281_0_6240 = 0) & p(all_281_1_6241) = all_281_0_6240)
% 56.22/16.76  										| (11014) all_0_14_14 = 0 | (all_281_0_6240 = 0 & p(all_281_1_6241) = 0)
% 56.22/16.76  										|
% 56.22/16.76  										+-Applying beta-rule and splitting (11014), into two cases.
% 56.22/16.76  										|-Branch one:
% 56.22/16.76  										| (74) all_0_14_14 = 0
% 56.22/16.76  										|
% 56.22/16.76  											| Equations (74) can reduce 67 to:
% 56.22/16.76  											| (59) $false
% 56.22/16.76  											|
% 56.22/16.76  											|-The branch is then unsatisfiable
% 56.22/16.76  										|-Branch two:
% 56.22/16.76  										| (67)  ~ (all_0_14_14 = 0)
% 56.22/16.76  										| (11018) all_281_0_6240 = 0 & p(all_281_1_6241) = 0
% 56.22/16.76  										|
% 56.22/16.76  											| Applying alpha-rule on (11018) yields:
% 56.22/16.76  											| (11019) all_281_0_6240 = 0
% 56.22/16.76  											| (11020) p(all_281_1_6241) = 0
% 56.22/16.76  											|
% 56.22/16.76  											+-Applying beta-rule and splitting (1547), into two cases.
% 56.22/16.76  											|-Branch one:
% 56.22/16.76  											| (1563) all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 56.22/16.76  											|
% 56.22/16.76  												| Applying alpha-rule on (1563) yields:
% 56.22/16.76  												| (81) all_0_20_20 = 0
% 56.22/16.76  												| (1565) p(all_0_21_21) = 0
% 56.22/16.76  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 56.22/16.76  												|
% 56.22/16.76  												| Instantiating formula (77) with all_0_6_6, all_0_7_7 and discharging atoms q(all_0_7_7) = all_0_6_6, yields:
% 56.22/16.76  												| (54) all_0_6_6 = 0
% 56.22/16.76  												|
% 56.22/16.76  												| From (54) and (9013) follows:
% 56.22/16.76  												| (9254) q(all_0_7_7) = 0
% 56.22/16.76  												|
% 56.22/16.76  												| Instantiating formula (212) with all_0_7_7 and discharging atoms q(all_0_7_7) = 0, yields:
% 56.22/16.76  												| (79) $false
% 56.22/16.76  												|
% 56.22/16.76  												|-The branch is then unsatisfiable
% 56.22/16.76  											|-Branch two:
% 56.22/16.76  											| (1573)  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)
% 56.22/16.76  											|
% 56.22/16.76  												| Applying alpha-rule on (1573) yields:
% 56.22/16.76  												| (34)  ~ (all_0_20_20 = 0)
% 56.22/16.76  												| (1528) q(all_0_21_21) = all_0_20_20
% 56.22/16.76  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 56.22/16.76  												|
% 56.22/16.76  												| Instantiating formula (78) with all_281_1_6241 and discharging atoms p(all_281_1_6241) = 0, yields:
% 56.22/16.76  												| (79) $false
% 56.22/16.76  												|
% 56.22/16.76  												|-The branch is then unsatisfiable
% 56.22/16.76  								|-Branch two:
% 56.22/16.76  								| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 56.22/16.76  								|
% 56.22/16.76  									| Applying alpha-rule on (60) yields:
% 56.22/16.76  									| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 56.22/16.76  									| (62)  ! [v0] :  ~ (s(v0) = 0)
% 56.22/16.76  									|
% 56.22/16.76  									+-Applying beta-rule and splitting (1511), into two cases.
% 56.22/16.76  									|-Branch one:
% 56.22/16.76  									| (1512) s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 56.22/16.76  									|
% 56.22/16.76  										| Applying alpha-rule on (1512) yields:
% 56.22/16.76  										| (1513) s(all_0_17_17) = all_0_16_16
% 56.22/16.76  										| (1514)  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 56.22/16.76  										| (1515)  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0))
% 56.22/16.76  										| (1516) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 56.22/16.76  										|
% 56.22/16.76  										+-Applying beta-rule and splitting (1516), into two cases.
% 56.22/16.76  										|-Branch one:
% 56.22/16.76  										| (1525) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0
% 56.22/16.76  										|
% 56.22/16.76  											| Applying alpha-rule on (1525) yields:
% 56.22/16.76  											| (33) all_0_18_18 = 0
% 56.22/16.76  											| (34)  ~ (all_0_20_20 = 0)
% 56.22/16.76  											| (1528) q(all_0_21_21) = all_0_20_20
% 56.22/16.76  											| (1529) p(all_0_19_19) = 0
% 56.22/16.76  											|
% 56.22/16.76  											| Instantiating formula (5867) with 0, all_0_19_19 and discharging atoms p(all_0_19_19) = 0, yields:
% 56.22/16.76  											| (5930)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & p(v0) = v1)
% 56.22/16.76  											|
% 56.22/16.76  											| Instantiating (5930) with all_394_0_6324, all_394_1_6325 yields:
% 56.22/16.76  											| (11047)  ~ (all_394_0_6324 = 0) & p(all_394_1_6325) = all_394_0_6324
% 56.22/16.76  											|
% 56.22/16.76  											| Applying alpha-rule on (11047) yields:
% 56.22/16.76  											| (11048)  ~ (all_394_0_6324 = 0)
% 56.22/16.76  											| (11049) p(all_394_1_6325) = all_394_0_6324
% 56.22/16.76  											|
% 56.22/16.76  											| Instantiating formula (61) with all_394_0_6324, all_394_1_6325 and discharging atoms p(all_394_1_6325) = all_394_0_6324, yields:
% 56.22/16.76  											| (11050) all_394_0_6324 = 0
% 56.22/16.76  											|
% 56.22/16.77  											| Equations (11050) can reduce 11048 to:
% 56.22/16.77  											| (59) $false
% 56.22/16.77  											|
% 56.22/16.77  											|-The branch is then unsatisfiable
% 56.22/16.77  										|-Branch two:
% 56.22/16.77  										| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 56.22/16.77  										|
% 56.22/16.77  											| Applying alpha-rule on (76) yields:
% 56.22/16.77  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 56.22/16.77  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 56.22/16.77  											|
% 56.22/16.77  											| Instantiating formula (77) with all_0_6_6, all_0_7_7 and discharging atoms q(all_0_7_7) = all_0_6_6, yields:
% 56.22/16.77  											| (54) all_0_6_6 = 0
% 56.22/16.77  											|
% 56.22/16.77  											| From (54) and (9013) follows:
% 56.22/16.77  											| (9254) q(all_0_7_7) = 0
% 56.22/16.77  											|
% 56.22/16.77  											| Instantiating formula (212) with all_0_7_7 and discharging atoms q(all_0_7_7) = 0, yields:
% 56.22/16.77  											| (79) $false
% 56.22/16.77  											|
% 56.22/16.77  											|-The branch is then unsatisfiable
% 56.22/16.77  									|-Branch two:
% 56.22/16.77  									| (1545)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))
% 56.22/16.77  									|
% 56.22/16.77  										| Applying alpha-rule on (1545) yields:
% 56.22/16.77  										| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 56.22/16.77  										| (1547) (all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))
% 56.22/16.77  										|
% 56.22/16.77  										| Instantiating formula (84) with all_0_10_10, all_0_11_11 and discharging atoms s(all_0_11_11) = all_0_10_10, yields:
% 56.22/16.77  										| (1726)  ? [v0] :  ? [v1] : (( ~ (all_0_10_10 = 0) | ( ~ (v1 = 0) & s(v0) = v1)) & (all_0_10_10 = 0 | (v1 = 0 & s(v0) = 0)))
% 56.22/16.77  										|
% 56.22/16.77  										| Instantiating (1726) with all_270_0_6330, all_270_1_6331 yields:
% 56.22/16.77  										| (11062) ( ~ (all_0_10_10 = 0) | ( ~ (all_270_0_6330 = 0) & s(all_270_1_6331) = all_270_0_6330)) & (all_0_10_10 = 0 | (all_270_0_6330 = 0 & s(all_270_1_6331) = 0))
% 56.22/16.77  										|
% 56.22/16.77  										| Applying alpha-rule on (11062) yields:
% 56.22/16.77  										| (11063)  ~ (all_0_10_10 = 0) | ( ~ (all_270_0_6330 = 0) & s(all_270_1_6331) = all_270_0_6330)
% 56.22/16.77  										| (11064) all_0_10_10 = 0 | (all_270_0_6330 = 0 & s(all_270_1_6331) = 0)
% 56.22/16.77  										|
% 56.22/16.77  										+-Applying beta-rule and splitting (11064), into two cases.
% 56.22/16.77  										|-Branch one:
% 56.22/16.77  										| (58) all_0_10_10 = 0
% 56.22/16.77  										|
% 56.22/16.77  											| Equations (58) can reduce 52 to:
% 56.22/16.77  											| (59) $false
% 56.22/16.77  											|
% 56.22/16.77  											|-The branch is then unsatisfiable
% 56.22/16.77  										|-Branch two:
% 56.22/16.77  										| (52)  ~ (all_0_10_10 = 0)
% 56.22/16.77  										| (11068) all_270_0_6330 = 0 & s(all_270_1_6331) = 0
% 56.22/16.77  										|
% 56.22/16.77  											| Applying alpha-rule on (11068) yields:
% 56.22/16.77  											| (11069) all_270_0_6330 = 0
% 56.22/16.77  											| (11070) s(all_270_1_6331) = 0
% 56.22/16.77  											|
% 56.22/16.77  											| Instantiating formula (62) with all_270_1_6331 and discharging atoms s(all_270_1_6331) = 0, yields:
% 56.22/16.77  											| (79) $false
% 56.22/16.77  											|
% 56.22/16.77  											|-The branch is then unsatisfiable
% 56.22/16.77  							|-Branch two:
% 56.22/16.77  							| (1925) ((all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))
% 56.22/16.77  							|
% 56.22/16.77  								| Applying alpha-rule on (1925) yields:
% 56.22/16.77  								| (1926) (all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))
% 56.22/16.77  								| (1927) (s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))
% 56.22/16.77  								|
% 56.22/16.77  								+-Applying beta-rule and splitting (1926), into two cases.
% 56.22/16.77  								|-Branch one:
% 56.22/16.77  								| (1928) all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 56.22/16.77  								|
% 56.22/16.77  									| Applying alpha-rule on (1928) yields:
% 56.22/16.77  									| (42) all_0_16_16 = 0
% 56.22/16.77  									| (1518) s(all_0_17_17) = 0
% 56.22/16.77  									| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 56.22/16.77  									|
% 56.22/16.77  									+-Applying beta-rule and splitting (1927), into two cases.
% 56.22/16.77  									|-Branch one:
% 56.22/16.77  									| (1934) s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))
% 56.22/16.77  									|
% 56.22/16.77  										| Applying alpha-rule on (1934) yields:
% 56.22/16.77  										| (1935) s(all_0_19_19) = all_0_18_18
% 56.22/16.77  										| (1936)  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 56.22/16.77  										| (1937)  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0))
% 56.22/16.77  										| (1547) (all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))
% 56.22/16.77  										|
% 56.22/16.77  										| Instantiating formula (1936) with all_0_10_10, all_0_11_11 and discharging atoms s(all_0_11_11) = all_0_10_10, yields:
% 56.22/16.77  										| (2093)  ~ (all_0_18_18 = 0) | all_0_10_10 = 0
% 56.22/16.77  										|
% 56.22/16.77  										| Instantiating formula (1937) with all_0_17_17 and discharging atoms s(all_0_17_17) = 0, yields:
% 56.22/16.77  										| (33) all_0_18_18 = 0
% 56.22/16.77  										|
% 56.22/16.77  										+-Applying beta-rule and splitting (2093), into two cases.
% 56.22/16.77  										|-Branch one:
% 56.22/16.77  										| (2094)  ~ (all_0_18_18 = 0)
% 56.22/16.77  										|
% 56.22/16.77  											| Equations (33) can reduce 2094 to:
% 56.22/16.77  											| (59) $false
% 56.22/16.77  											|
% 56.22/16.77  											|-The branch is then unsatisfiable
% 56.22/16.77  										|-Branch two:
% 56.22/16.77  										| (33) all_0_18_18 = 0
% 56.22/16.77  										| (58) all_0_10_10 = 0
% 56.22/16.77  										|
% 56.22/16.77  											| Equations (58) can reduce 52 to:
% 56.22/16.77  											| (59) $false
% 56.22/16.77  											|
% 56.22/16.77  											|-The branch is then unsatisfiable
% 56.22/16.77  									|-Branch two:
% 56.22/16.77  									| (1951)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 56.22/16.77  									|
% 56.22/16.77  										| Applying alpha-rule on (1951) yields:
% 56.22/16.77  										| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 56.22/16.77  										| (1516) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 56.22/16.77  										|
% 56.22/16.77  										+-Applying beta-rule and splitting (1516), into two cases.
% 56.22/16.77  										|-Branch one:
% 56.22/16.77  										| (1525) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0
% 56.22/16.77  										|
% 56.22/16.77  											| Applying alpha-rule on (1525) yields:
% 56.22/16.77  											| (33) all_0_18_18 = 0
% 56.22/16.77  											| (34)  ~ (all_0_20_20 = 0)
% 56.22/16.77  											| (1528) q(all_0_21_21) = all_0_20_20
% 56.22/16.77  											| (1529) p(all_0_19_19) = 0
% 56.22/16.77  											|
% 56.22/16.77  											| Instantiating formula (5867) with 0, all_0_19_19 and discharging atoms p(all_0_19_19) = 0, yields:
% 56.22/16.77  											| (5930)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & p(v0) = v1)
% 56.22/16.77  											|
% 56.22/16.77  											| Instantiating (5930) with all_395_0_6416, all_395_1_6417 yields:
% 56.22/16.77  											| (11100)  ~ (all_395_0_6416 = 0) & p(all_395_1_6417) = all_395_0_6416
% 56.22/16.77  											|
% 56.22/16.77  											| Applying alpha-rule on (11100) yields:
% 56.22/16.77  											| (11101)  ~ (all_395_0_6416 = 0)
% 56.22/16.78  											| (11102) p(all_395_1_6417) = all_395_0_6416
% 56.22/16.78  											|
% 56.22/16.78  											| Instantiating formula (61) with all_395_0_6416, all_395_1_6417 and discharging atoms p(all_395_1_6417) = all_395_0_6416, yields:
% 56.22/16.78  											| (11103) all_395_0_6416 = 0
% 56.22/16.78  											|
% 56.22/16.78  											| Equations (11103) can reduce 11101 to:
% 56.22/16.78  											| (59) $false
% 56.22/16.78  											|
% 56.22/16.78  											|-The branch is then unsatisfiable
% 56.22/16.78  										|-Branch two:
% 56.22/16.78  										| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 56.22/16.78  										|
% 56.22/16.78  											| Applying alpha-rule on (76) yields:
% 56.22/16.78  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 56.22/16.78  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 56.22/16.78  											|
% 56.22/16.78  											| Instantiating formula (77) with all_0_6_6, all_0_7_7 and discharging atoms q(all_0_7_7) = all_0_6_6, yields:
% 56.22/16.78  											| (54) all_0_6_6 = 0
% 56.22/16.78  											|
% 56.22/16.78  											| From (54) and (9013) follows:
% 56.22/16.78  											| (9254) q(all_0_7_7) = 0
% 56.22/16.78  											|
% 56.22/16.78  											| Instantiating formula (212) with all_0_7_7 and discharging atoms q(all_0_7_7) = 0, yields:
% 56.22/16.78  											| (79) $false
% 56.22/16.78  											|
% 56.22/16.78  											|-The branch is then unsatisfiable
% 56.22/16.78  								|-Branch two:
% 56.22/16.78  								| (1960)  ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0)
% 56.22/16.78  								|
% 56.22/16.78  									| Applying alpha-rule on (1960) yields:
% 56.22/16.78  									| (71)  ~ (all_0_16_16 = 0)
% 56.22/16.78  									| (1962) p(all_0_17_17) = all_0_16_16
% 56.22/16.78  									| (62)  ! [v0] :  ~ (s(v0) = 0)
% 56.22/16.78  									|
% 56.22/16.78  									+-Applying beta-rule and splitting (1927), into two cases.
% 56.22/16.78  									|-Branch one:
% 56.22/16.78  									| (1934) s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))
% 56.22/16.78  									|
% 56.22/16.78  										| Applying alpha-rule on (1934) yields:
% 56.22/16.78  										| (1935) s(all_0_19_19) = all_0_18_18
% 56.22/16.78  										| (1936)  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 56.22/16.78  										| (1937)  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0))
% 56.22/16.78  										| (1547) (all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))
% 56.22/16.78  										|
% 56.22/16.78  										| Instantiating formula (5867) with all_0_16_16, all_0_17_17 and discharging atoms p(all_0_17_17) = all_0_16_16, yields:
% 56.22/16.78  										| (7971)  ? [v0] :  ? [v1] : (( ~ (all_0_16_16 = 0) | ( ~ (v1 = 0) & p(v0) = v1)) & (all_0_16_16 = 0 | (v1 = 0 & p(v0) = 0)))
% 56.22/16.78  										|
% 56.22/16.78  										| Instantiating (7971) with all_283_0_6424, all_283_1_6425 yields:
% 56.22/16.78  										| (11121) ( ~ (all_0_16_16 = 0) | ( ~ (all_283_0_6424 = 0) & p(all_283_1_6425) = all_283_0_6424)) & (all_0_16_16 = 0 | (all_283_0_6424 = 0 & p(all_283_1_6425) = 0))
% 56.22/16.78  										|
% 56.22/16.78  										| Applying alpha-rule on (11121) yields:
% 56.22/16.78  										| (11122)  ~ (all_0_16_16 = 0) | ( ~ (all_283_0_6424 = 0) & p(all_283_1_6425) = all_283_0_6424)
% 56.22/16.78  										| (11123) all_0_16_16 = 0 | (all_283_0_6424 = 0 & p(all_283_1_6425) = 0)
% 56.22/16.78  										|
% 56.22/16.78  										+-Applying beta-rule and splitting (11123), into two cases.
% 56.22/16.78  										|-Branch one:
% 56.22/16.78  										| (42) all_0_16_16 = 0
% 56.22/16.78  										|
% 56.22/16.78  											| Equations (42) can reduce 71 to:
% 56.22/16.78  											| (59) $false
% 56.22/16.78  											|
% 56.22/16.78  											|-The branch is then unsatisfiable
% 56.22/16.78  										|-Branch two:
% 56.22/16.78  										| (71)  ~ (all_0_16_16 = 0)
% 56.22/16.78  										| (11127) all_283_0_6424 = 0 & p(all_283_1_6425) = 0
% 56.22/16.78  										|
% 56.22/16.78  											| Applying alpha-rule on (11127) yields:
% 56.22/16.78  											| (11128) all_283_0_6424 = 0
% 56.22/16.78  											| (11129) p(all_283_1_6425) = 0
% 56.22/16.78  											|
% 56.22/16.78  											+-Applying beta-rule and splitting (1547), into two cases.
% 56.22/16.78  											|-Branch one:
% 56.22/16.78  											| (1563) all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 56.22/16.78  											|
% 56.22/16.78  												| Applying alpha-rule on (1563) yields:
% 56.22/16.78  												| (81) all_0_20_20 = 0
% 56.22/16.78  												| (1565) p(all_0_21_21) = 0
% 56.22/16.78  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 56.22/16.78  												|
% 56.22/16.78  												| Instantiating formula (77) with all_0_6_6, all_0_7_7 and discharging atoms q(all_0_7_7) = all_0_6_6, yields:
% 56.22/16.78  												| (54) all_0_6_6 = 0
% 56.22/16.78  												|
% 56.22/16.78  												| From (54) and (9013) follows:
% 56.22/16.78  												| (9254) q(all_0_7_7) = 0
% 56.22/16.78  												|
% 56.22/16.78  												| Instantiating formula (212) with all_0_7_7 and discharging atoms q(all_0_7_7) = 0, yields:
% 56.22/16.78  												| (79) $false
% 56.22/16.78  												|
% 56.22/16.78  												|-The branch is then unsatisfiable
% 56.22/16.78  											|-Branch two:
% 56.22/16.78  											| (1573)  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)
% 56.22/16.78  											|
% 56.22/16.78  												| Applying alpha-rule on (1573) yields:
% 56.22/16.78  												| (34)  ~ (all_0_20_20 = 0)
% 56.22/16.78  												| (1528) q(all_0_21_21) = all_0_20_20
% 56.22/16.78  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 56.22/16.78  												|
% 56.22/16.78  												| Instantiating formula (78) with all_283_1_6425 and discharging atoms p(all_283_1_6425) = 0, yields:
% 56.22/16.78  												| (79) $false
% 56.22/16.78  												|
% 56.22/16.78  												|-The branch is then unsatisfiable
% 56.22/16.78  									|-Branch two:
% 56.22/16.78  									| (1951)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 56.22/16.78  									|
% 56.22/16.78  										| Applying alpha-rule on (1951) yields:
% 56.22/16.78  										| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 56.22/16.78  										| (1516) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 56.22/16.78  										|
% 56.22/16.78  										| Instantiating formula (84) with all_0_10_10, all_0_11_11 and discharging atoms s(all_0_11_11) = all_0_10_10, yields:
% 56.22/16.78  										| (1726)  ? [v0] :  ? [v1] : (( ~ (all_0_10_10 = 0) | ( ~ (v1 = 0) & s(v0) = v1)) & (all_0_10_10 = 0 | (v1 = 0 & s(v0) = 0)))
% 56.22/16.78  										|
% 56.22/16.78  										| Instantiating (1726) with all_273_0_6466, all_273_1_6467 yields:
% 56.22/16.78  										| (11146) ( ~ (all_0_10_10 = 0) | ( ~ (all_273_0_6466 = 0) & s(all_273_1_6467) = all_273_0_6466)) & (all_0_10_10 = 0 | (all_273_0_6466 = 0 & s(all_273_1_6467) = 0))
% 56.22/16.78  										|
% 56.22/16.78  										| Applying alpha-rule on (11146) yields:
% 56.22/16.79  										| (11147)  ~ (all_0_10_10 = 0) | ( ~ (all_273_0_6466 = 0) & s(all_273_1_6467) = all_273_0_6466)
% 56.28/16.79  										| (11148) all_0_10_10 = 0 | (all_273_0_6466 = 0 & s(all_273_1_6467) = 0)
% 56.28/16.79  										|
% 56.28/16.79  										+-Applying beta-rule and splitting (11148), into two cases.
% 56.28/16.79  										|-Branch one:
% 56.28/16.79  										| (58) all_0_10_10 = 0
% 56.28/16.79  										|
% 56.28/16.79  											| Equations (58) can reduce 52 to:
% 56.28/16.79  											| (59) $false
% 56.28/16.79  											|
% 56.28/16.79  											|-The branch is then unsatisfiable
% 56.28/16.79  										|-Branch two:
% 56.28/16.79  										| (52)  ~ (all_0_10_10 = 0)
% 56.28/16.79  										| (11152) all_273_0_6466 = 0 & s(all_273_1_6467) = 0
% 56.28/16.79  										|
% 56.28/16.79  											| Applying alpha-rule on (11152) yields:
% 56.28/16.79  											| (11153) all_273_0_6466 = 0
% 56.28/16.79  											| (11154) s(all_273_1_6467) = 0
% 56.28/16.79  											|
% 56.28/16.79  											| Instantiating formula (62) with all_273_1_6467 and discharging atoms s(all_273_1_6467) = 0, yields:
% 56.28/16.79  											| (79) $false
% 56.28/16.79  											|
% 56.28/16.79  											|-The branch is then unsatisfiable
% 56.28/16.79  					|-Branch two:
% 56.28/16.79  					| (219)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] :  ~ (r(v0) = 0)
% 56.28/16.79  					|
% 56.28/16.79  						| Applying alpha-rule on (219) yields:
% 56.28/16.79  						| (220)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))
% 56.28/16.79  						| (221)  ! [v0] :  ~ (r(v0) = 0)
% 56.28/16.79  						|
% 56.28/16.79  						+-Applying beta-rule and splitting (9007), into two cases.
% 56.28/16.79  						|-Branch one:
% 56.28/16.79  						| (9027) all_0_4_4 = 0 & q(all_0_5_5) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 56.28/16.79  						|
% 56.28/16.79  							| Applying alpha-rule on (9027) yields:
% 56.28/16.79  							| (37) all_0_4_4 = 0
% 56.28/16.79  							| (9029) q(all_0_5_5) = 0
% 56.28/16.79  							| (41)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 56.28/16.79  							|
% 56.28/16.79  							| Instantiating formula (9015) with all_0_5_5 and discharging atoms q(all_0_5_5) = 0, yields:
% 56.28/16.79  							| (54) all_0_6_6 = 0
% 56.28/16.79  							|
% 56.28/16.79  							+-Applying beta-rule and splitting (1838), into two cases.
% 56.28/16.79  							|-Branch one:
% 56.28/16.79  							| (1857) ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))
% 56.28/16.79  							|
% 56.28/16.79  								| Applying alpha-rule on (1857) yields:
% 56.28/16.79  								| (469) (all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))
% 56.28/16.79  								| (1511) (s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))))
% 56.28/16.79  								|
% 56.28/16.79  								+-Applying beta-rule and splitting (1511), into two cases.
% 56.28/16.79  								|-Branch one:
% 56.28/16.79  								| (1512) s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 56.28/16.79  								|
% 56.28/16.79  									| Applying alpha-rule on (1512) yields:
% 56.28/16.79  									| (1513) s(all_0_17_17) = all_0_16_16
% 56.28/16.79  									| (1514)  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 56.28/16.79  									| (1515)  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0))
% 56.28/16.79  									| (1516) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 56.28/16.79  									|
% 56.28/16.79  									| Instantiating formula (220) with all_0_16_16, all_0_17_17 and discharging atoms s(all_0_17_17) = all_0_16_16, yields:
% 56.28/16.79  									| (42) all_0_16_16 = 0
% 56.28/16.79  									|
% 56.28/16.79  									| From (42) and (1513) follows:
% 56.28/16.79  									| (1518) s(all_0_17_17) = 0
% 56.28/16.79  									|
% 56.28/16.79  									+-Applying beta-rule and splitting (469), into two cases.
% 56.28/16.79  									|-Branch one:
% 56.28/16.79  									| (471) all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14
% 56.28/16.79  									|
% 56.28/16.79  										| Applying alpha-rule on (471) yields:
% 56.28/16.79  										| (66) all_0_12_12 = 0
% 56.28/16.79  										| (67)  ~ (all_0_14_14 = 0)
% 56.28/16.79  										| (310) s(all_0_13_13) = 0
% 56.28/16.79  										| (475) p(all_0_15_15) = all_0_14_14
% 56.28/16.79  										|
% 56.28/16.79  										| Instantiating formula (5867) with all_0_14_14, all_0_15_15 and discharging atoms p(all_0_15_15) = all_0_14_14, yields:
% 56.28/16.79  										| (6381)  ? [v0] :  ? [v1] : (( ~ (all_0_14_14 = 0) | ( ~ (v1 = 0) & p(v0) = v1)) & (all_0_14_14 = 0 | (v1 = 0 & p(v0) = 0)))
% 56.28/16.79  										|
% 56.28/16.79  										| Instantiating (6381) with all_69_0_6468, all_69_1_6469 yields:
% 56.28/16.79  										| (11180) ( ~ (all_0_14_14 = 0) | ( ~ (all_69_0_6468 = 0) & p(all_69_1_6469) = all_69_0_6468)) & (all_0_14_14 = 0 | (all_69_0_6468 = 0 & p(all_69_1_6469) = 0))
% 56.28/16.79  										|
% 56.28/16.79  										| Applying alpha-rule on (11180) yields:
% 56.28/16.79  										| (11181)  ~ (all_0_14_14 = 0) | ( ~ (all_69_0_6468 = 0) & p(all_69_1_6469) = all_69_0_6468)
% 56.28/16.79  										| (11182) all_0_14_14 = 0 | (all_69_0_6468 = 0 & p(all_69_1_6469) = 0)
% 56.28/16.79  										|
% 56.28/16.79  										+-Applying beta-rule and splitting (1516), into two cases.
% 56.28/16.79  										|-Branch one:
% 56.28/16.79  										| (1525) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0
% 56.28/16.79  										|
% 56.28/16.79  											| Applying alpha-rule on (1525) yields:
% 56.28/16.79  											| (33) all_0_18_18 = 0
% 56.28/16.79  											| (34)  ~ (all_0_20_20 = 0)
% 56.28/16.79  											| (1528) q(all_0_21_21) = all_0_20_20
% 56.28/16.79  											| (1529) p(all_0_19_19) = 0
% 56.28/16.79  											|
% 56.28/16.79  											| Instantiating formula (9014) with all_0_20_20, all_0_21_21 and discharging atoms q(all_0_21_21) = all_0_20_20, yields:
% 56.28/16.79  											| (2979)  ~ (all_0_6_6 = 0) | all_0_20_20 = 0
% 56.28/16.79  											|
% 56.28/16.79  											+-Applying beta-rule and splitting (2979), into two cases.
% 56.28/16.79  											|-Branch one:
% 56.28/16.79  											| (2980)  ~ (all_0_6_6 = 0)
% 56.28/16.79  											|
% 56.28/16.79  												| Equations (54) can reduce 2980 to:
% 56.28/16.79  												| (59) $false
% 56.28/16.79  												|
% 56.28/16.79  												|-The branch is then unsatisfiable
% 56.28/16.79  											|-Branch two:
% 56.28/16.79  											| (54) all_0_6_6 = 0
% 56.28/16.79  											| (81) all_0_20_20 = 0
% 56.28/16.79  											|
% 56.28/16.79  												| Equations (81) can reduce 34 to:
% 56.28/16.79  												| (59) $false
% 56.28/16.79  												|
% 56.28/16.79  												|-The branch is then unsatisfiable
% 56.28/16.79  										|-Branch two:
% 56.28/16.79  										| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 56.28/16.79  										|
% 56.28/16.79  											| Applying alpha-rule on (76) yields:
% 56.28/16.79  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 56.28/16.79  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 56.28/16.79  											|
% 56.28/16.80  											+-Applying beta-rule and splitting (11182), into two cases.
% 56.28/16.80  											|-Branch one:
% 56.28/16.80  											| (74) all_0_14_14 = 0
% 56.28/16.80  											|
% 56.28/16.80  												| Equations (74) can reduce 67 to:
% 56.28/16.80  												| (59) $false
% 56.28/16.80  												|
% 56.28/16.80  												|-The branch is then unsatisfiable
% 56.28/16.80  											|-Branch two:
% 56.28/16.80  											| (67)  ~ (all_0_14_14 = 0)
% 56.28/16.80  											| (11200) all_69_0_6468 = 0 & p(all_69_1_6469) = 0
% 56.28/16.80  											|
% 56.28/16.80  												| Applying alpha-rule on (11200) yields:
% 56.28/16.80  												| (11201) all_69_0_6468 = 0
% 56.28/16.80  												| (11202) p(all_69_1_6469) = 0
% 56.28/16.80  												|
% 56.28/16.80  												| Instantiating formula (78) with all_69_1_6469 and discharging atoms p(all_69_1_6469) = 0, yields:
% 56.28/16.80  												| (79) $false
% 56.28/16.80  												|
% 56.28/16.80  												|-The branch is then unsatisfiable
% 56.28/16.80  									|-Branch two:
% 56.28/16.80  									| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 56.28/16.80  									|
% 56.28/16.80  										| Applying alpha-rule on (60) yields:
% 56.28/16.80  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 56.28/16.80  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 56.28/16.80  										|
% 56.28/16.80  										| Instantiating formula (62) with all_0_17_17 and discharging atoms s(all_0_17_17) = 0, yields:
% 56.28/16.80  										| (79) $false
% 56.28/16.80  										|
% 56.28/16.80  										|-The branch is then unsatisfiable
% 56.28/16.80  								|-Branch two:
% 56.28/16.80  								| (1545)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))
% 56.28/16.80  								|
% 56.28/16.80  									| Applying alpha-rule on (1545) yields:
% 56.28/16.80  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 56.28/16.80  									| (1547) (all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))
% 56.28/16.80  									|
% 56.28/16.80  									+-Applying beta-rule and splitting (469), into two cases.
% 56.28/16.80  									|-Branch one:
% 56.28/16.80  									| (471) all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14
% 56.28/16.80  									|
% 56.28/16.80  										| Applying alpha-rule on (471) yields:
% 56.28/16.80  										| (66) all_0_12_12 = 0
% 56.28/16.80  										| (67)  ~ (all_0_14_14 = 0)
% 56.28/16.80  										| (310) s(all_0_13_13) = 0
% 56.28/16.80  										| (475) p(all_0_15_15) = all_0_14_14
% 56.28/16.80  										|
% 56.28/16.80  										| Instantiating formula (84) with 0, all_0_13_13 and discharging atoms s(all_0_13_13) = 0, yields:
% 56.28/16.80  										| (278)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & s(v0) = v1)
% 56.28/16.80  										|
% 56.28/16.80  										| Instantiating (278) with all_62_0_6474, all_62_1_6475 yields:
% 56.28/16.80  										| (11217)  ~ (all_62_0_6474 = 0) & s(all_62_1_6475) = all_62_0_6474
% 56.28/16.80  										|
% 56.28/16.80  										| Applying alpha-rule on (11217) yields:
% 56.28/16.80  										| (11218)  ~ (all_62_0_6474 = 0)
% 56.28/16.80  										| (11219) s(all_62_1_6475) = all_62_0_6474
% 56.28/16.80  										|
% 56.28/16.80  										| Instantiating formula (220) with all_62_0_6474, all_62_1_6475 and discharging atoms s(all_62_1_6475) = all_62_0_6474, yields:
% 56.28/16.80  										| (11220) all_62_0_6474 = 0
% 56.28/16.80  										|
% 56.28/16.80  										| Equations (11220) can reduce 11218 to:
% 56.28/16.80  										| (59) $false
% 56.28/16.80  										|
% 56.28/16.80  										|-The branch is then unsatisfiable
% 56.28/16.80  									|-Branch two:
% 56.28/16.80  									| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 56.28/16.80  									|
% 56.28/16.80  										| Applying alpha-rule on (60) yields:
% 56.28/16.80  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 56.28/16.80  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 56.28/16.80  										|
% 56.28/16.80  										+-Applying beta-rule and splitting (1547), into two cases.
% 56.28/16.80  										|-Branch one:
% 56.28/16.80  										| (1563) all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 56.28/16.80  										|
% 56.28/16.80  											| Applying alpha-rule on (1563) yields:
% 56.28/16.80  											| (81) all_0_20_20 = 0
% 56.28/16.80  											| (1565) p(all_0_21_21) = 0
% 56.28/16.80  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 56.28/16.80  											|
% 56.28/16.80  											| Instantiating formula (5867) with 0, all_0_21_21 and discharging atoms p(all_0_21_21) = 0, yields:
% 56.28/16.80  											| (5930)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & p(v0) = v1)
% 56.28/16.80  											|
% 56.28/16.80  											| Instantiating (5930) with all_66_0_6476, all_66_1_6477 yields:
% 56.28/16.80  											| (11230)  ~ (all_66_0_6476 = 0) & p(all_66_1_6477) = all_66_0_6476
% 56.28/16.80  											|
% 56.28/16.80  											| Applying alpha-rule on (11230) yields:
% 56.28/16.80  											| (11231)  ~ (all_66_0_6476 = 0)
% 56.28/16.80  											| (11232) p(all_66_1_6477) = all_66_0_6476
% 56.28/16.80  											|
% 56.28/16.80  											| Instantiating formula (61) with all_66_0_6476, all_66_1_6477 and discharging atoms p(all_66_1_6477) = all_66_0_6476, yields:
% 56.28/16.80  											| (11233) all_66_0_6476 = 0
% 56.28/16.80  											|
% 56.28/16.80  											| Equations (11233) can reduce 11231 to:
% 56.28/16.80  											| (59) $false
% 56.28/16.80  											|
% 56.28/16.80  											|-The branch is then unsatisfiable
% 56.28/16.80  										|-Branch two:
% 56.28/16.80  										| (1573)  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)
% 56.28/16.80  										|
% 56.28/16.80  											| Applying alpha-rule on (1573) yields:
% 56.28/16.80  											| (34)  ~ (all_0_20_20 = 0)
% 56.28/16.80  											| (1528) q(all_0_21_21) = all_0_20_20
% 56.28/16.80  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 56.28/16.80  											|
% 56.28/16.80  											| Instantiating formula (9014) with all_0_20_20, all_0_21_21 and discharging atoms q(all_0_21_21) = all_0_20_20, yields:
% 56.28/16.80  											| (2979)  ~ (all_0_6_6 = 0) | all_0_20_20 = 0
% 56.28/16.80  											|
% 56.28/16.80  											+-Applying beta-rule and splitting (2979), into two cases.
% 56.28/16.80  											|-Branch one:
% 56.28/16.80  											| (2980)  ~ (all_0_6_6 = 0)
% 56.28/16.80  											|
% 56.28/16.80  												| Equations (54) can reduce 2980 to:
% 56.28/16.80  												| (59) $false
% 56.28/16.80  												|
% 56.28/16.80  												|-The branch is then unsatisfiable
% 56.28/16.80  											|-Branch two:
% 56.28/16.80  											| (54) all_0_6_6 = 0
% 56.28/16.80  											| (81) all_0_20_20 = 0
% 56.28/16.80  											|
% 56.28/16.80  												| Equations (81) can reduce 34 to:
% 56.28/16.80  												| (59) $false
% 56.28/16.80  												|
% 56.28/16.80  												|-The branch is then unsatisfiable
% 56.28/16.80  							|-Branch two:
% 56.28/16.80  							| (1925) ((all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))
% 56.28/16.80  							|
% 56.28/16.80  								| Applying alpha-rule on (1925) yields:
% 56.28/16.80  								| (1926) (all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))
% 56.28/16.80  								| (1927) (s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))
% 56.28/16.80  								|
% 56.28/16.80  								+-Applying beta-rule and splitting (1927), into two cases.
% 56.28/16.80  								|-Branch one:
% 56.28/16.80  								| (1934) s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))
% 56.28/16.80  								|
% 56.28/16.81  									| Applying alpha-rule on (1934) yields:
% 56.28/16.81  									| (1935) s(all_0_19_19) = all_0_18_18
% 56.28/16.81  									| (1936)  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 56.28/16.81  									| (1937)  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0))
% 56.28/16.81  									| (1547) (all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))
% 56.28/16.81  									|
% 56.28/16.81  									| Instantiating formula (220) with all_0_18_18, all_0_19_19 and discharging atoms s(all_0_19_19) = all_0_18_18, yields:
% 56.28/16.81  									| (33) all_0_18_18 = 0
% 56.28/16.81  									|
% 56.28/16.81  									| From (33) and (1935) follows:
% 56.28/16.81  									| (1596) s(all_0_19_19) = 0
% 56.28/16.81  									|
% 56.28/16.81  									+-Applying beta-rule and splitting (1926), into two cases.
% 56.28/16.81  									|-Branch one:
% 56.28/16.81  									| (1928) all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 56.28/16.81  									|
% 56.28/16.81  										| Applying alpha-rule on (1928) yields:
% 56.28/16.81  										| (42) all_0_16_16 = 0
% 56.28/16.81  										| (1518) s(all_0_17_17) = 0
% 56.28/16.81  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 56.28/16.81  										|
% 56.28/16.81  										+-Applying beta-rule and splitting (1547), into two cases.
% 56.28/16.81  										|-Branch one:
% 56.28/16.81  										| (1563) all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 56.28/16.81  										|
% 56.28/16.81  											| Applying alpha-rule on (1563) yields:
% 56.28/16.81  											| (81) all_0_20_20 = 0
% 56.28/16.81  											| (1565) p(all_0_21_21) = 0
% 56.28/16.81  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 56.28/16.81  											|
% 56.28/16.81  											| Instantiating formula (5867) with 0, all_0_21_21 and discharging atoms p(all_0_21_21) = 0, yields:
% 56.28/16.81  											| (5930)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & p(v0) = v1)
% 56.28/16.81  											|
% 56.28/16.81  											| Instantiating (5930) with all_78_0_6478, all_78_1_6479 yields:
% 56.28/16.81  											| (11264)  ~ (all_78_0_6478 = 0) & p(all_78_1_6479) = all_78_0_6478
% 56.28/16.81  											|
% 56.28/16.81  											| Applying alpha-rule on (11264) yields:
% 56.28/16.81  											| (11265)  ~ (all_78_0_6478 = 0)
% 56.28/16.81  											| (11266) p(all_78_1_6479) = all_78_0_6478
% 56.28/16.81  											|
% 56.28/16.81  											| Instantiating formula (61) with all_78_0_6478, all_78_1_6479 and discharging atoms p(all_78_1_6479) = all_78_0_6478, yields:
% 56.28/16.81  											| (11267) all_78_0_6478 = 0
% 56.28/16.81  											|
% 56.28/16.81  											| Equations (11267) can reduce 11265 to:
% 56.28/16.81  											| (59) $false
% 56.28/16.81  											|
% 56.28/16.81  											|-The branch is then unsatisfiable
% 56.28/16.81  										|-Branch two:
% 56.28/16.81  										| (1573)  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)
% 56.28/16.81  										|
% 56.28/16.81  											| Applying alpha-rule on (1573) yields:
% 56.28/16.81  											| (34)  ~ (all_0_20_20 = 0)
% 56.28/16.81  											| (1528) q(all_0_21_21) = all_0_20_20
% 56.28/16.81  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 56.28/16.81  											|
% 56.28/16.81  											| Instantiating formula (9014) with all_0_20_20, all_0_21_21 and discharging atoms q(all_0_21_21) = all_0_20_20, yields:
% 56.28/16.81  											| (2979)  ~ (all_0_6_6 = 0) | all_0_20_20 = 0
% 56.28/16.81  											|
% 56.28/16.81  											+-Applying beta-rule and splitting (2979), into two cases.
% 56.28/16.81  											|-Branch one:
% 56.28/16.81  											| (2980)  ~ (all_0_6_6 = 0)
% 56.28/16.81  											|
% 56.28/16.81  												| Equations (54) can reduce 2980 to:
% 56.28/16.81  												| (59) $false
% 56.28/16.81  												|
% 56.28/16.81  												|-The branch is then unsatisfiable
% 56.28/16.81  											|-Branch two:
% 56.28/16.81  											| (54) all_0_6_6 = 0
% 56.28/16.81  											| (81) all_0_20_20 = 0
% 56.28/16.81  											|
% 56.28/16.81  												| Equations (81) can reduce 34 to:
% 56.28/16.81  												| (59) $false
% 56.28/16.81  												|
% 56.28/16.81  												|-The branch is then unsatisfiable
% 56.28/16.81  									|-Branch two:
% 56.28/16.81  									| (1960)  ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0)
% 56.28/16.81  									|
% 56.28/16.81  										| Applying alpha-rule on (1960) yields:
% 56.28/16.81  										| (71)  ~ (all_0_16_16 = 0)
% 56.28/16.81  										| (1962) p(all_0_17_17) = all_0_16_16
% 56.28/16.81  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 56.28/16.81  										|
% 56.28/16.81  										| Instantiating formula (62) with all_0_19_19 and discharging atoms s(all_0_19_19) = 0, yields:
% 56.28/16.81  										| (79) $false
% 56.28/16.81  										|
% 56.28/16.81  										|-The branch is then unsatisfiable
% 56.28/16.81  								|-Branch two:
% 56.28/16.81  								| (1951)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 56.28/16.81  								|
% 56.28/16.81  									| Applying alpha-rule on (1951) yields:
% 56.28/16.81  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 56.28/16.81  									| (1516) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 56.28/16.81  									|
% 56.28/16.81  									+-Applying beta-rule and splitting (1926), into two cases.
% 56.28/16.81  									|-Branch one:
% 56.28/16.81  									| (1928) all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 56.28/16.81  									|
% 56.28/16.81  										| Applying alpha-rule on (1928) yields:
% 56.28/16.81  										| (42) all_0_16_16 = 0
% 56.28/16.81  										| (1518) s(all_0_17_17) = 0
% 56.28/16.81  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 56.28/16.81  										|
% 56.28/16.81  										| Instantiating formula (84) with 0, all_0_17_17 and discharging atoms s(all_0_17_17) = 0, yields:
% 56.28/16.81  										| (278)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & s(v0) = v1)
% 56.28/16.81  										|
% 56.28/16.81  										| Instantiating (278) with all_62_0_6480, all_62_1_6481 yields:
% 56.28/16.81  										| (11292)  ~ (all_62_0_6480 = 0) & s(all_62_1_6481) = all_62_0_6480
% 56.28/16.81  										|
% 56.28/16.81  										| Applying alpha-rule on (11292) yields:
% 56.28/16.81  										| (11293)  ~ (all_62_0_6480 = 0)
% 56.28/16.81  										| (11294) s(all_62_1_6481) = all_62_0_6480
% 56.28/16.81  										|
% 56.28/16.81  										| Instantiating formula (220) with all_62_0_6480, all_62_1_6481 and discharging atoms s(all_62_1_6481) = all_62_0_6480, yields:
% 56.28/16.81  										| (11295) all_62_0_6480 = 0
% 56.28/16.81  										|
% 56.28/16.81  										| Equations (11295) can reduce 11293 to:
% 56.28/16.81  										| (59) $false
% 56.28/16.81  										|
% 56.28/16.81  										|-The branch is then unsatisfiable
% 56.28/16.81  									|-Branch two:
% 56.28/16.81  									| (1960)  ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0)
% 56.28/16.81  									|
% 56.28/16.81  										| Applying alpha-rule on (1960) yields:
% 56.28/16.81  										| (71)  ~ (all_0_16_16 = 0)
% 56.28/16.81  										| (1962) p(all_0_17_17) = all_0_16_16
% 56.28/16.81  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 56.28/16.81  										|
% 56.28/16.81  										| Instantiating formula (5867) with all_0_16_16, all_0_17_17 and discharging atoms p(all_0_17_17) = all_0_16_16, yields:
% 56.28/16.81  										| (7971)  ? [v0] :  ? [v1] : (( ~ (all_0_16_16 = 0) | ( ~ (v1 = 0) & p(v0) = v1)) & (all_0_16_16 = 0 | (v1 = 0 & p(v0) = 0)))
% 56.28/16.81  										|
% 56.28/16.81  										| Instantiating (7971) with all_62_0_6482, all_62_1_6483 yields:
% 56.28/16.81  										| (11302) ( ~ (all_0_16_16 = 0) | ( ~ (all_62_0_6482 = 0) & p(all_62_1_6483) = all_62_0_6482)) & (all_0_16_16 = 0 | (all_62_0_6482 = 0 & p(all_62_1_6483) = 0))
% 56.28/16.81  										|
% 56.28/16.81  										| Applying alpha-rule on (11302) yields:
% 56.28/16.82  										| (11303)  ~ (all_0_16_16 = 0) | ( ~ (all_62_0_6482 = 0) & p(all_62_1_6483) = all_62_0_6482)
% 56.28/16.82  										| (11304) all_0_16_16 = 0 | (all_62_0_6482 = 0 & p(all_62_1_6483) = 0)
% 56.28/16.82  										|
% 56.28/16.82  										+-Applying beta-rule and splitting (1516), into two cases.
% 56.28/16.82  										|-Branch one:
% 56.28/16.82  										| (1525) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0
% 56.28/16.82  										|
% 56.28/16.82  											| Applying alpha-rule on (1525) yields:
% 56.28/16.82  											| (33) all_0_18_18 = 0
% 56.28/16.82  											| (34)  ~ (all_0_20_20 = 0)
% 56.28/16.82  											| (1528) q(all_0_21_21) = all_0_20_20
% 56.28/16.82  											| (1529) p(all_0_19_19) = 0
% 56.28/16.82  											|
% 56.28/16.82  											| Instantiating formula (9014) with all_0_20_20, all_0_21_21 and discharging atoms q(all_0_21_21) = all_0_20_20, yields:
% 56.28/16.82  											| (2979)  ~ (all_0_6_6 = 0) | all_0_20_20 = 0
% 56.28/16.82  											|
% 56.28/16.82  											+-Applying beta-rule and splitting (2979), into two cases.
% 56.28/16.82  											|-Branch one:
% 56.28/16.82  											| (2980)  ~ (all_0_6_6 = 0)
% 56.28/16.82  											|
% 56.28/16.82  												| Equations (54) can reduce 2980 to:
% 56.28/16.82  												| (59) $false
% 56.28/16.82  												|
% 56.28/16.82  												|-The branch is then unsatisfiable
% 56.28/16.82  											|-Branch two:
% 56.28/16.82  											| (54) all_0_6_6 = 0
% 56.28/16.82  											| (81) all_0_20_20 = 0
% 56.28/16.82  											|
% 56.28/16.82  												| Equations (81) can reduce 34 to:
% 56.28/16.82  												| (59) $false
% 56.28/16.82  												|
% 56.28/16.82  												|-The branch is then unsatisfiable
% 56.28/16.82  										|-Branch two:
% 56.28/16.82  										| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 56.28/16.82  										|
% 56.28/16.82  											| Applying alpha-rule on (76) yields:
% 56.28/16.82  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 56.28/16.82  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 56.28/16.82  											|
% 56.28/16.82  											+-Applying beta-rule and splitting (11304), into two cases.
% 56.28/16.82  											|-Branch one:
% 56.28/16.82  											| (42) all_0_16_16 = 0
% 56.28/16.82  											|
% 56.28/16.82  												| Equations (42) can reduce 71 to:
% 56.28/16.82  												| (59) $false
% 56.28/16.82  												|
% 56.28/16.82  												|-The branch is then unsatisfiable
% 56.28/16.82  											|-Branch two:
% 56.28/16.82  											| (71)  ~ (all_0_16_16 = 0)
% 56.28/16.82  											| (11322) all_62_0_6482 = 0 & p(all_62_1_6483) = 0
% 56.28/16.82  											|
% 56.28/16.82  												| Applying alpha-rule on (11322) yields:
% 56.28/16.82  												| (11323) all_62_0_6482 = 0
% 56.28/16.82  												| (11324) p(all_62_1_6483) = 0
% 56.28/16.82  												|
% 56.28/16.82  												| Instantiating formula (78) with all_62_1_6483 and discharging atoms p(all_62_1_6483) = 0, yields:
% 56.28/16.82  												| (79) $false
% 56.28/16.82  												|
% 56.28/16.82  												|-The branch is then unsatisfiable
% 56.28/16.82  						|-Branch two:
% 56.28/16.82  						| (9194)  ~ (all_0_4_4 = 0) & r(all_0_5_5) = all_0_4_4 &  ! [v0] :  ~ (q(v0) = 0)
% 56.28/16.82  						|
% 56.28/16.82  							| Applying alpha-rule on (9194) yields:
% 56.28/16.82  							| (214)  ~ (all_0_4_4 = 0)
% 56.28/16.82  							| (28) r(all_0_5_5) = all_0_4_4
% 56.28/16.82  							| (212)  ! [v0] :  ~ (q(v0) = 0)
% 56.28/16.82  							|
% 56.28/16.82  							| Instantiating formula (370) with all_0_4_4, all_0_5_5 and discharging atoms r(all_0_5_5) = all_0_4_4, yields:
% 56.28/16.82  							| (9751)  ? [v0] :  ? [v1] : (( ~ (all_0_4_4 = 0) | ( ~ (v1 = 0) & r(v0) = v1)) & (all_0_4_4 = 0 | (v1 = 0 & r(v0) = 0)))
% 56.28/16.82  							|
% 56.28/16.82  							| Instantiating (9751) with all_45_0_6486, all_45_1_6487 yields:
% 56.28/16.82  							| (11331) ( ~ (all_0_4_4 = 0) | ( ~ (all_45_0_6486 = 0) & r(all_45_1_6487) = all_45_0_6486)) & (all_0_4_4 = 0 | (all_45_0_6486 = 0 & r(all_45_1_6487) = 0))
% 56.28/16.82  							|
% 56.28/16.82  							| Applying alpha-rule on (11331) yields:
% 56.28/16.82  							| (11332)  ~ (all_0_4_4 = 0) | ( ~ (all_45_0_6486 = 0) & r(all_45_1_6487) = all_45_0_6486)
% 56.28/16.82  							| (11333) all_0_4_4 = 0 | (all_45_0_6486 = 0 & r(all_45_1_6487) = 0)
% 56.28/16.82  							|
% 56.28/16.82  							+-Applying beta-rule and splitting (11333), into two cases.
% 56.28/16.82  							|-Branch one:
% 56.28/16.82  							| (37) all_0_4_4 = 0
% 56.28/16.82  							|
% 56.28/16.82  								| Equations (37) can reduce 214 to:
% 56.28/16.82  								| (59) $false
% 56.28/16.82  								|
% 56.28/16.82  								|-The branch is then unsatisfiable
% 56.28/16.82  							|-Branch two:
% 56.28/16.82  							| (214)  ~ (all_0_4_4 = 0)
% 56.28/16.82  							| (11337) all_45_0_6486 = 0 & r(all_45_1_6487) = 0
% 56.28/16.82  							|
% 56.28/16.82  								| Applying alpha-rule on (11337) yields:
% 56.28/16.82  								| (11338) all_45_0_6486 = 0
% 56.28/16.82  								| (11339) r(all_45_1_6487) = 0
% 56.28/16.82  								|
% 56.28/16.82  								| Instantiating formula (221) with all_45_1_6487 and discharging atoms r(all_45_1_6487) = 0, yields:
% 56.28/16.82  								| (79) $false
% 56.28/16.82  								|
% 56.28/16.82  								|-The branch is then unsatisfiable
% 56.28/16.82  			|-Branch two:
% 56.28/16.82  			| (11341)  ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0)))) & ((all_0_10_10 = 0 & r(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (r(v0) = 0)))
% 56.28/16.82  			|
% 56.28/16.82  				| Applying alpha-rule on (11341) yields:
% 56.28/16.82  				| (717)  ! [v0] :  ! [v1] : ( ~ (q(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & q(v2) = v3)) & (v1 = 0 | (v3 = 0 & q(v2) = 0))))
% 56.28/16.82  				| (1493) (all_0_10_10 = 0 & r(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))) | ( ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (r(v0) = 0))
% 56.28/16.82  				|
% 56.28/16.83  				+-Applying beta-rule and splitting (1487), into two cases.
% 56.28/16.83  				|-Branch one:
% 56.28/16.83  				| (1494) r(all_0_13_13) = all_0_12_12 &  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (r(v0) = v1)) &  ! [v0] : (all_0_12_12 = 0 |  ~ (r(v0) = 0)) & ((((all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))
% 56.28/16.83  				|
% 56.28/16.83  					| Applying alpha-rule on (1494) yields:
% 56.28/16.83  					| (1495) r(all_0_13_13) = all_0_12_12
% 56.28/16.83  					| (1496)  ! [v0] :  ! [v1] : ( ~ (all_0_12_12 = 0) | v1 = 0 |  ~ (r(v0) = v1))
% 56.28/16.83  					| (1497)  ! [v0] : (all_0_12_12 = 0 |  ~ (r(v0) = 0))
% 56.28/16.83  					| (1498) (((all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))
% 56.28/16.83  					|
% 56.28/16.83  					+-Applying beta-rule and splitting (1493), into two cases.
% 56.28/16.83  					|-Branch one:
% 56.28/16.83  					| (1499) all_0_10_10 = 0 & r(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))
% 56.28/16.83  					|
% 56.28/16.83  						| Applying alpha-rule on (1499) yields:
% 56.28/16.83  						| (58) all_0_10_10 = 0
% 56.28/16.83  						| (1501) r(all_0_11_11) = 0
% 56.28/16.83  						| (220)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))
% 56.28/16.83  						|
% 56.28/16.83  						| Instantiating formula (1497) with all_0_11_11 and discharging atoms r(all_0_11_11) = 0, yields:
% 56.28/16.83  						| (66) all_0_12_12 = 0
% 56.28/16.83  						|
% 56.28/16.83  						+-Applying beta-rule and splitting (9007), into two cases.
% 56.28/16.83  						|-Branch one:
% 56.28/16.83  						| (9027) all_0_4_4 = 0 & q(all_0_5_5) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 56.28/16.83  						|
% 56.28/16.83  							| Applying alpha-rule on (9027) yields:
% 56.28/16.83  							| (37) all_0_4_4 = 0
% 56.28/16.83  							| (9029) q(all_0_5_5) = 0
% 56.28/16.83  							| (41)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 56.28/16.83  							|
% 56.28/16.83  							| Instantiating formula (717) with 0, all_0_5_5 and discharging atoms q(all_0_5_5) = 0, yields:
% 56.28/16.83  							| (733)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & q(v0) = v1)
% 56.28/16.83  							|
% 56.28/16.83  							| Instantiating (733) with all_53_0_6488, all_53_1_6489 yields:
% 56.28/16.83  							| (11359)  ~ (all_53_0_6488 = 0) & q(all_53_1_6489) = all_53_0_6488
% 56.28/16.83  							|
% 56.28/16.83  							| Applying alpha-rule on (11359) yields:
% 56.28/16.83  							| (11360)  ~ (all_53_0_6488 = 0)
% 56.28/16.83  							| (11361) q(all_53_1_6489) = all_53_0_6488
% 56.28/16.83  							|
% 56.28/16.83  							| Instantiating formula (717) with all_53_0_6488, all_53_1_6489 and discharging atoms q(all_53_1_6489) = all_53_0_6488, yields:
% 56.28/16.83  							| (11362)  ? [v0] :  ? [v1] : (( ~ (all_53_0_6488 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_53_0_6488 = 0 | (v1 = 0 & q(v0) = 0)))
% 56.28/16.83  							|
% 56.28/16.83  							| Instantiating (11362) with all_60_0_6490, all_60_1_6491 yields:
% 56.28/16.83  							| (11363) ( ~ (all_53_0_6488 = 0) | ( ~ (all_60_0_6490 = 0) & q(all_60_1_6491) = all_60_0_6490)) & (all_53_0_6488 = 0 | (all_60_0_6490 = 0 & q(all_60_1_6491) = 0))
% 56.28/16.83  							|
% 56.28/16.83  							| Applying alpha-rule on (11363) yields:
% 56.28/16.83  							| (11364)  ~ (all_53_0_6488 = 0) | ( ~ (all_60_0_6490 = 0) & q(all_60_1_6491) = all_60_0_6490)
% 56.28/16.83  							| (11365) all_53_0_6488 = 0 | (all_60_0_6490 = 0 & q(all_60_1_6491) = 0)
% 56.28/16.83  							|
% 56.28/16.83  							+-Applying beta-rule and splitting (1498), into two cases.
% 56.28/16.83  							|-Branch one:
% 56.28/16.83  							| (1509) ((all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))
% 56.28/16.83  							|
% 56.28/16.83  								| Applying alpha-rule on (1509) yields:
% 56.28/16.83  								| (1510) (all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))
% 56.28/16.83  								| (1511) (s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))))
% 56.28/16.83  								|
% 56.28/16.83  								+-Applying beta-rule and splitting (1511), into two cases.
% 56.28/16.83  								|-Branch one:
% 56.28/16.83  								| (1512) s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 56.28/16.83  								|
% 56.28/16.83  									| Applying alpha-rule on (1512) yields:
% 56.28/16.83  									| (1513) s(all_0_17_17) = all_0_16_16
% 56.28/16.83  									| (1514)  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 56.28/16.83  									| (1515)  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0))
% 56.28/16.83  									| (1516) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 56.28/16.83  									|
% 56.28/16.83  									+-Applying beta-rule and splitting (11365), into two cases.
% 56.28/16.83  									|-Branch one:
% 56.28/16.83  									| (11374) all_53_0_6488 = 0
% 56.28/16.83  									|
% 56.28/16.83  										| Equations (11374) can reduce 11360 to:
% 56.28/16.83  										| (59) $false
% 56.28/16.83  										|
% 56.28/16.83  										|-The branch is then unsatisfiable
% 56.28/16.83  									|-Branch two:
% 56.28/16.83  									| (11360)  ~ (all_53_0_6488 = 0)
% 56.28/16.84  									| (11377) all_60_0_6490 = 0 & q(all_60_1_6491) = 0
% 56.28/16.84  									|
% 56.28/16.84  										| Instantiating formula (220) with all_0_16_16, all_0_17_17 and discharging atoms s(all_0_17_17) = all_0_16_16, yields:
% 56.28/16.84  										| (42) all_0_16_16 = 0
% 56.28/16.84  										|
% 56.28/16.84  										| From (42) and (1513) follows:
% 56.28/16.84  										| (1518) s(all_0_17_17) = 0
% 56.28/16.84  										|
% 56.28/16.84  										+-Applying beta-rule and splitting (1510), into two cases.
% 56.28/16.84  										|-Branch one:
% 56.28/16.84  										| (1519) all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 56.28/16.84  										|
% 56.28/16.84  											| Applying alpha-rule on (1519) yields:
% 56.28/16.84  											| (74) all_0_14_14 = 0
% 56.28/16.84  											| (1521) s(all_0_15_15) = 0
% 56.28/16.84  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 56.28/16.84  											|
% 56.28/16.84  											+-Applying beta-rule and splitting (1516), into two cases.
% 56.28/16.84  											|-Branch one:
% 56.28/16.84  											| (1525) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0
% 56.28/16.84  											|
% 56.28/16.84  												| Applying alpha-rule on (1525) yields:
% 56.28/16.84  												| (33) all_0_18_18 = 0
% 56.28/16.84  												| (34)  ~ (all_0_20_20 = 0)
% 56.28/16.84  												| (1528) q(all_0_21_21) = all_0_20_20
% 56.28/16.84  												| (1529) p(all_0_19_19) = 0
% 56.28/16.84  												|
% 56.28/16.84  												| Instantiating formula (5867) with 0, all_0_19_19 and discharging atoms p(all_0_19_19) = 0, yields:
% 56.28/16.84  												| (5930)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & p(v0) = v1)
% 56.28/16.84  												|
% 56.28/16.84  												| Instantiating (5930) with all_117_0_6500, all_117_1_6501 yields:
% 56.28/16.84  												| (11390)  ~ (all_117_0_6500 = 0) & p(all_117_1_6501) = all_117_0_6500
% 56.28/16.84  												|
% 56.28/16.84  												| Applying alpha-rule on (11390) yields:
% 56.28/16.84  												| (11391)  ~ (all_117_0_6500 = 0)
% 56.28/16.84  												| (11392) p(all_117_1_6501) = all_117_0_6500
% 56.28/16.84  												|
% 56.28/16.84  												| Instantiating formula (61) with all_117_0_6500, all_117_1_6501 and discharging atoms p(all_117_1_6501) = all_117_0_6500, yields:
% 56.28/16.84  												| (11393) all_117_0_6500 = 0
% 56.28/16.84  												|
% 56.28/16.84  												| Equations (11393) can reduce 11391 to:
% 56.28/16.84  												| (59) $false
% 56.28/16.84  												|
% 56.28/16.84  												|-The branch is then unsatisfiable
% 56.28/16.84  											|-Branch two:
% 56.28/16.84  											| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 56.28/16.84  											|
% 56.28/16.84  												| Applying alpha-rule on (76) yields:
% 56.28/16.84  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 56.28/16.84  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 56.28/16.84  												|
% 56.28/16.84  												| Instantiating formula (77) with all_53_0_6488, all_53_1_6489 and discharging atoms q(all_53_1_6489) = all_53_0_6488, yields:
% 56.28/16.84  												| (11374) all_53_0_6488 = 0
% 56.28/16.84  												|
% 56.28/16.84  												| Equations (11374) can reduce 11360 to:
% 56.28/16.84  												| (59) $false
% 56.28/16.84  												|
% 56.28/16.84  												|-The branch is then unsatisfiable
% 56.28/16.84  										|-Branch two:
% 56.28/16.84  										| (1540)  ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0)
% 56.28/16.84  										|
% 56.28/16.84  											| Applying alpha-rule on (1540) yields:
% 56.28/16.84  											| (67)  ~ (all_0_14_14 = 0)
% 56.28/16.84  											| (475) p(all_0_15_15) = all_0_14_14
% 56.28/16.84  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 56.28/16.84  											|
% 56.28/16.84  											| Instantiating formula (62) with all_0_17_17 and discharging atoms s(all_0_17_17) = 0, yields:
% 56.28/16.84  											| (79) $false
% 56.28/16.84  											|
% 56.28/16.84  											|-The branch is then unsatisfiable
% 56.28/16.84  								|-Branch two:
% 56.28/16.84  								| (1545)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))
% 56.28/16.84  								|
% 56.28/16.84  									| Applying alpha-rule on (1545) yields:
% 56.28/16.84  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 56.28/16.84  									| (1547) (all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))
% 56.28/16.84  									|
% 56.28/16.84  									+-Applying beta-rule and splitting (1510), into two cases.
% 56.28/16.84  									|-Branch one:
% 56.28/16.84  									| (1519) all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 56.28/16.84  									|
% 56.28/16.84  										| Applying alpha-rule on (1519) yields:
% 56.28/16.84  										| (74) all_0_14_14 = 0
% 56.28/16.84  										| (1521) s(all_0_15_15) = 0
% 56.28/16.84  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 56.28/16.84  										|
% 56.28/16.84  										| Instantiating formula (84) with 0, all_0_15_15 and discharging atoms s(all_0_15_15) = 0, yields:
% 56.28/16.84  										| (278)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & s(v0) = v1)
% 56.28/16.84  										|
% 56.28/16.84  										| Instantiating (278) with all_80_0_6508, all_80_1_6509 yields:
% 56.28/16.84  										| (11413)  ~ (all_80_0_6508 = 0) & s(all_80_1_6509) = all_80_0_6508
% 56.28/16.84  										|
% 56.28/16.84  										| Applying alpha-rule on (11413) yields:
% 56.28/16.84  										| (11414)  ~ (all_80_0_6508 = 0)
% 56.28/16.84  										| (11415) s(all_80_1_6509) = all_80_0_6508
% 56.28/16.84  										|
% 56.28/16.84  										| Instantiating formula (220) with all_80_0_6508, all_80_1_6509 and discharging atoms s(all_80_1_6509) = all_80_0_6508, yields:
% 56.28/16.84  										| (11416) all_80_0_6508 = 0
% 56.28/16.84  										|
% 56.28/16.84  										| Equations (11416) can reduce 11414 to:
% 56.28/16.84  										| (59) $false
% 56.28/16.84  										|
% 56.28/16.84  										|-The branch is then unsatisfiable
% 56.28/16.84  									|-Branch two:
% 56.28/16.84  									| (1540)  ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0)
% 56.28/16.84  									|
% 56.28/16.84  										| Applying alpha-rule on (1540) yields:
% 56.28/16.84  										| (67)  ~ (all_0_14_14 = 0)
% 56.28/16.84  										| (475) p(all_0_15_15) = all_0_14_14
% 56.28/16.84  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 56.28/16.84  										|
% 56.28/16.84  										+-Applying beta-rule and splitting (11365), into two cases.
% 56.28/16.84  										|-Branch one:
% 56.28/16.84  										| (11374) all_53_0_6488 = 0
% 56.28/16.84  										|
% 56.28/16.84  											| Equations (11374) can reduce 11360 to:
% 56.28/16.84  											| (59) $false
% 56.28/16.84  											|
% 56.28/16.84  											|-The branch is then unsatisfiable
% 56.28/16.84  										|-Branch two:
% 56.28/16.85  										| (11360)  ~ (all_53_0_6488 = 0)
% 56.28/16.85  										| (11377) all_60_0_6490 = 0 & q(all_60_1_6491) = 0
% 56.28/16.85  										|
% 56.28/16.85  											| Instantiating formula (5867) with all_0_14_14, all_0_15_15 and discharging atoms p(all_0_15_15) = all_0_14_14, yields:
% 56.28/16.85  											| (6381)  ? [v0] :  ? [v1] : (( ~ (all_0_14_14 = 0) | ( ~ (v1 = 0) & p(v0) = v1)) & (all_0_14_14 = 0 | (v1 = 0 & p(v0) = 0)))
% 56.28/16.85  											|
% 56.28/16.85  											| Instantiating (6381) with all_78_0_6510, all_78_1_6511 yields:
% 56.28/16.85  											| (11427) ( ~ (all_0_14_14 = 0) | ( ~ (all_78_0_6510 = 0) & p(all_78_1_6511) = all_78_0_6510)) & (all_0_14_14 = 0 | (all_78_0_6510 = 0 & p(all_78_1_6511) = 0))
% 56.28/16.85  											|
% 56.28/16.85  											| Applying alpha-rule on (11427) yields:
% 56.28/16.85  											| (11428)  ~ (all_0_14_14 = 0) | ( ~ (all_78_0_6510 = 0) & p(all_78_1_6511) = all_78_0_6510)
% 56.28/16.85  											| (11429) all_0_14_14 = 0 | (all_78_0_6510 = 0 & p(all_78_1_6511) = 0)
% 56.28/16.85  											|
% 56.28/16.85  											+-Applying beta-rule and splitting (11429), into two cases.
% 56.28/16.85  											|-Branch one:
% 56.28/16.85  											| (74) all_0_14_14 = 0
% 56.28/16.85  											|
% 56.28/16.85  												| Equations (74) can reduce 67 to:
% 56.28/16.85  												| (59) $false
% 56.28/16.85  												|
% 56.28/16.85  												|-The branch is then unsatisfiable
% 56.28/16.85  											|-Branch two:
% 56.28/16.85  											| (67)  ~ (all_0_14_14 = 0)
% 56.28/16.85  											| (11433) all_78_0_6510 = 0 & p(all_78_1_6511) = 0
% 56.28/16.85  											|
% 56.28/16.85  												| Applying alpha-rule on (11433) yields:
% 56.28/16.85  												| (11434) all_78_0_6510 = 0
% 56.28/16.85  												| (11435) p(all_78_1_6511) = 0
% 56.28/16.85  												|
% 56.28/16.85  												+-Applying beta-rule and splitting (1547), into two cases.
% 56.28/16.85  												|-Branch one:
% 56.28/16.85  												| (1563) all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 56.28/16.85  												|
% 56.28/16.85  													| Applying alpha-rule on (1563) yields:
% 56.28/16.85  													| (81) all_0_20_20 = 0
% 56.28/16.85  													| (1565) p(all_0_21_21) = 0
% 56.28/16.85  													| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 56.28/16.85  													|
% 56.28/16.85  													| Instantiating formula (77) with all_53_0_6488, all_53_1_6489 and discharging atoms q(all_53_1_6489) = all_53_0_6488, yields:
% 56.28/16.85  													| (11374) all_53_0_6488 = 0
% 56.28/16.85  													|
% 56.28/16.85  													| Equations (11374) can reduce 11360 to:
% 56.28/16.85  													| (59) $false
% 56.28/16.85  													|
% 56.28/16.85  													|-The branch is then unsatisfiable
% 56.28/16.85  												|-Branch two:
% 56.28/16.85  												| (1573)  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)
% 56.28/16.85  												|
% 56.28/16.85  													| Applying alpha-rule on (1573) yields:
% 56.28/16.85  													| (34)  ~ (all_0_20_20 = 0)
% 56.28/16.85  													| (1528) q(all_0_21_21) = all_0_20_20
% 56.28/16.85  													| (78)  ! [v0] :  ~ (p(v0) = 0)
% 56.28/16.85  													|
% 56.28/16.85  													| Instantiating formula (78) with all_78_1_6511 and discharging atoms p(all_78_1_6511) = 0, yields:
% 56.28/16.85  													| (79) $false
% 56.28/16.85  													|
% 56.28/16.85  													|-The branch is then unsatisfiable
% 56.28/16.85  							|-Branch two:
% 56.28/16.85  							| (1583) ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))
% 56.28/16.85  							|
% 56.28/16.85  								| Applying alpha-rule on (1583) yields:
% 56.28/16.85  								| (1584) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))
% 56.28/16.85  								| (1585) (s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))
% 56.28/16.85  								|
% 56.28/16.85  								+-Applying beta-rule and splitting (1585), into two cases.
% 56.28/16.85  								|-Branch one:
% 56.28/16.85  								| (1586) s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))
% 56.28/16.85  								|
% 56.28/16.85  									| Applying alpha-rule on (1586) yields:
% 56.28/16.85  									| (1587) s(all_0_15_15) = all_0_14_14
% 56.28/16.85  									| (1588)  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 56.28/16.85  									| (1589)  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0))
% 56.28/16.85  									| (1590) (all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0))
% 56.28/16.85  									|
% 56.28/16.85  									+-Applying beta-rule and splitting (11365), into two cases.
% 56.28/16.85  									|-Branch one:
% 56.28/16.85  									| (11374) all_53_0_6488 = 0
% 56.28/16.85  									|
% 56.28/16.85  										| Equations (11374) can reduce 11360 to:
% 56.28/16.85  										| (59) $false
% 56.28/16.85  										|
% 56.28/16.85  										|-The branch is then unsatisfiable
% 56.28/16.85  									|-Branch two:
% 56.28/16.85  									| (11360)  ~ (all_53_0_6488 = 0)
% 56.28/16.86  									| (11377) all_60_0_6490 = 0 & q(all_60_1_6491) = 0
% 56.28/16.86  									|
% 56.28/16.86  										| Instantiating formula (220) with all_0_14_14, all_0_15_15 and discharging atoms s(all_0_15_15) = all_0_14_14, yields:
% 56.28/16.86  										| (74) all_0_14_14 = 0
% 56.28/16.86  										|
% 56.28/16.86  										| From (74) and (1587) follows:
% 56.28/16.86  										| (1521) s(all_0_15_15) = 0
% 56.28/16.86  										|
% 56.28/16.86  										+-Applying beta-rule and splitting (1584), into two cases.
% 56.28/16.86  										|-Branch one:
% 56.28/16.86  										| (1593) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20
% 56.28/16.86  										|
% 56.28/16.86  											| Applying alpha-rule on (1593) yields:
% 56.28/16.86  											| (33) all_0_18_18 = 0
% 56.28/16.86  											| (34)  ~ (all_0_20_20 = 0)
% 56.28/16.86  											| (1596) s(all_0_19_19) = 0
% 56.28/16.86  											| (1597) p(all_0_21_21) = all_0_20_20
% 56.28/16.86  											|
% 56.28/16.86  											| Instantiating formula (5867) with all_0_20_20, all_0_21_21 and discharging atoms p(all_0_21_21) = all_0_20_20, yields:
% 56.35/16.86  											| (7561)  ? [v0] :  ? [v1] : (( ~ (all_0_20_20 = 0) | ( ~ (v1 = 0) & p(v0) = v1)) & (all_0_20_20 = 0 | (v1 = 0 & p(v0) = 0)))
% 56.35/16.86  											|
% 56.35/16.86  											| Instantiating (7561) with all_97_0_6550, all_97_1_6551 yields:
% 56.35/16.86  											| (11467) ( ~ (all_0_20_20 = 0) | ( ~ (all_97_0_6550 = 0) & p(all_97_1_6551) = all_97_0_6550)) & (all_0_20_20 = 0 | (all_97_0_6550 = 0 & p(all_97_1_6551) = 0))
% 56.35/16.86  											|
% 56.35/16.86  											| Applying alpha-rule on (11467) yields:
% 56.35/16.86  											| (11468)  ~ (all_0_20_20 = 0) | ( ~ (all_97_0_6550 = 0) & p(all_97_1_6551) = all_97_0_6550)
% 56.35/16.86  											| (11469) all_0_20_20 = 0 | (all_97_0_6550 = 0 & p(all_97_1_6551) = 0)
% 56.35/16.86  											|
% 56.35/16.86  											+-Applying beta-rule and splitting (11469), into two cases.
% 56.35/16.86  											|-Branch one:
% 56.35/16.86  											| (81) all_0_20_20 = 0
% 56.35/16.86  											|
% 56.35/16.86  												| Equations (81) can reduce 34 to:
% 56.35/16.86  												| (59) $false
% 56.35/16.86  												|
% 56.35/16.86  												|-The branch is then unsatisfiable
% 56.35/16.86  											|-Branch two:
% 56.35/16.86  											| (34)  ~ (all_0_20_20 = 0)
% 56.35/16.86  											| (11473) all_97_0_6550 = 0 & p(all_97_1_6551) = 0
% 56.35/16.86  											|
% 56.35/16.86  												| Applying alpha-rule on (11473) yields:
% 56.35/16.86  												| (11474) all_97_0_6550 = 0
% 56.35/16.86  												| (11475) p(all_97_1_6551) = 0
% 56.35/16.86  												|
% 56.35/16.86  												+-Applying beta-rule and splitting (1590), into two cases.
% 56.35/16.86  												|-Branch one:
% 56.35/16.86  												| (1599) all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 56.35/16.86  												|
% 56.35/16.86  													| Applying alpha-rule on (1599) yields:
% 56.35/16.86  													| (42) all_0_16_16 = 0
% 56.35/16.86  													| (1601) p(all_0_17_17) = 0
% 56.35/16.86  													| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 56.35/16.86  													|
% 56.35/16.86  													| Instantiating formula (77) with all_53_0_6488, all_53_1_6489 and discharging atoms q(all_53_1_6489) = all_53_0_6488, yields:
% 56.35/16.86  													| (11374) all_53_0_6488 = 0
% 56.35/16.86  													|
% 56.35/16.86  													| Equations (11374) can reduce 11360 to:
% 56.35/16.86  													| (59) $false
% 56.35/16.86  													|
% 56.35/16.86  													|-The branch is then unsatisfiable
% 56.35/16.86  												|-Branch two:
% 56.35/16.86  												| (1609)  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)
% 56.35/16.86  												|
% 56.35/16.86  													| Applying alpha-rule on (1609) yields:
% 56.35/16.86  													| (71)  ~ (all_0_16_16 = 0)
% 56.35/16.86  													| (23) q(all_0_17_17) = all_0_16_16
% 56.35/16.86  													| (78)  ! [v0] :  ~ (p(v0) = 0)
% 56.35/16.86  													|
% 56.35/16.86  													| Instantiating formula (78) with all_97_1_6551 and discharging atoms p(all_97_1_6551) = 0, yields:
% 56.35/16.86  													| (79) $false
% 56.35/16.86  													|
% 56.35/16.86  													|-The branch is then unsatisfiable
% 56.35/16.86  										|-Branch two:
% 56.35/16.86  										| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 56.35/16.86  										|
% 56.35/16.86  											| Applying alpha-rule on (60) yields:
% 56.35/16.86  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 56.35/16.86  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 56.35/16.86  											|
% 56.35/16.86  											| Instantiating formula (62) with all_0_15_15 and discharging atoms s(all_0_15_15) = 0, yields:
% 56.35/16.86  											| (79) $false
% 56.35/16.86  											|
% 56.35/16.86  											|-The branch is then unsatisfiable
% 56.35/16.86  								|-Branch two:
% 56.35/16.86  								| (1623)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 56.35/16.86  								|
% 56.35/16.86  									| Applying alpha-rule on (1623) yields:
% 56.35/16.86  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 56.35/16.86  									| (1625) (all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 56.35/16.86  									|
% 56.35/16.86  									+-Applying beta-rule and splitting (1584), into two cases.
% 56.35/16.86  									|-Branch one:
% 56.35/16.86  									| (1593) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20
% 56.35/16.86  									|
% 56.35/16.86  										| Applying alpha-rule on (1593) yields:
% 56.35/16.86  										| (33) all_0_18_18 = 0
% 56.35/16.86  										| (34)  ~ (all_0_20_20 = 0)
% 56.35/16.86  										| (1596) s(all_0_19_19) = 0
% 56.35/16.86  										| (1597) p(all_0_21_21) = all_0_20_20
% 56.35/16.86  										|
% 56.35/16.86  										| Instantiating formula (84) with 0, all_0_19_19 and discharging atoms s(all_0_19_19) = 0, yields:
% 56.35/16.86  										| (278)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & s(v0) = v1)
% 56.35/16.86  										|
% 56.35/16.86  										| Instantiating (278) with all_78_0_6580, all_78_1_6581 yields:
% 56.35/16.86  										| (11500)  ~ (all_78_0_6580 = 0) & s(all_78_1_6581) = all_78_0_6580
% 56.35/16.86  										|
% 56.35/16.86  										| Applying alpha-rule on (11500) yields:
% 56.35/16.86  										| (11501)  ~ (all_78_0_6580 = 0)
% 56.35/16.86  										| (11502) s(all_78_1_6581) = all_78_0_6580
% 56.35/16.86  										|
% 56.35/16.86  										| Instantiating formula (220) with all_78_0_6580, all_78_1_6581 and discharging atoms s(all_78_1_6581) = all_78_0_6580, yields:
% 56.35/16.86  										| (11503) all_78_0_6580 = 0
% 56.35/16.86  										|
% 56.35/16.87  										| Equations (11503) can reduce 11501 to:
% 56.35/16.87  										| (59) $false
% 56.35/16.87  										|
% 56.35/16.87  										|-The branch is then unsatisfiable
% 56.35/16.87  									|-Branch two:
% 56.35/16.87  									| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 56.35/16.87  									|
% 56.35/16.87  										| Applying alpha-rule on (60) yields:
% 56.35/16.87  										| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 56.35/16.87  										| (62)  ! [v0] :  ~ (s(v0) = 0)
% 56.35/16.87  										|
% 56.35/16.87  										+-Applying beta-rule and splitting (11365), into two cases.
% 56.35/16.87  										|-Branch one:
% 56.35/16.87  										| (11374) all_53_0_6488 = 0
% 56.35/16.87  										|
% 56.35/16.87  											| Equations (11374) can reduce 11360 to:
% 56.35/16.87  											| (59) $false
% 56.35/16.87  											|
% 56.35/16.87  											|-The branch is then unsatisfiable
% 56.35/16.87  										|-Branch two:
% 56.35/16.87  										| (11360)  ~ (all_53_0_6488 = 0)
% 56.35/16.87  										| (11377) all_60_0_6490 = 0 & q(all_60_1_6491) = 0
% 56.35/16.87  										|
% 56.35/16.87  											+-Applying beta-rule and splitting (1625), into two cases.
% 56.35/16.87  											|-Branch one:
% 56.35/16.87  											| (1642) all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0
% 56.35/16.87  											|
% 56.35/16.87  												| Applying alpha-rule on (1642) yields:
% 56.35/16.87  												| (74) all_0_14_14 = 0
% 56.35/16.87  												| (71)  ~ (all_0_16_16 = 0)
% 56.35/16.87  												| (23) q(all_0_17_17) = all_0_16_16
% 56.35/16.87  												| (105) p(all_0_15_15) = 0
% 56.35/16.87  												|
% 56.35/16.87  												| Instantiating formula (5867) with 0, all_0_15_15 and discharging atoms p(all_0_15_15) = 0, yields:
% 56.35/16.87  												| (5930)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & p(v0) = v1)
% 56.35/16.87  												|
% 56.36/16.87  												| Instantiating (5930) with all_96_0_6588, all_96_1_6589 yields:
% 56.36/16.87  												| (11518)  ~ (all_96_0_6588 = 0) & p(all_96_1_6589) = all_96_0_6588
% 56.36/16.87  												|
% 56.36/16.87  												| Applying alpha-rule on (11518) yields:
% 56.36/16.87  												| (11519)  ~ (all_96_0_6588 = 0)
% 56.36/16.87  												| (11520) p(all_96_1_6589) = all_96_0_6588
% 56.36/16.87  												|
% 56.36/16.87  												| Instantiating formula (61) with all_96_0_6588, all_96_1_6589 and discharging atoms p(all_96_1_6589) = all_96_0_6588, yields:
% 56.36/16.87  												| (11521) all_96_0_6588 = 0
% 56.36/16.87  												|
% 56.36/16.87  												| Equations (11521) can reduce 11519 to:
% 56.36/16.87  												| (59) $false
% 56.36/16.87  												|
% 56.36/16.87  												|-The branch is then unsatisfiable
% 56.36/16.87  											|-Branch two:
% 56.36/16.87  											| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 56.36/16.87  											|
% 56.36/16.87  												| Applying alpha-rule on (76) yields:
% 56.36/16.87  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 56.36/16.87  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 56.36/16.87  												|
% 56.36/16.87  												| Instantiating formula (77) with all_53_0_6488, all_53_1_6489 and discharging atoms q(all_53_1_6489) = all_53_0_6488, yields:
% 56.36/16.87  												| (11374) all_53_0_6488 = 0
% 56.36/16.87  												|
% 56.36/16.87  												| Equations (11374) can reduce 11360 to:
% 56.36/16.87  												| (59) $false
% 56.36/16.87  												|
% 56.36/16.87  												|-The branch is then unsatisfiable
% 56.36/16.87  						|-Branch two:
% 56.36/16.87  						| (9194)  ~ (all_0_4_4 = 0) & r(all_0_5_5) = all_0_4_4 &  ! [v0] :  ~ (q(v0) = 0)
% 56.36/16.87  						|
% 56.36/16.87  							| Applying alpha-rule on (9194) yields:
% 56.36/16.87  							| (214)  ~ (all_0_4_4 = 0)
% 56.36/16.87  							| (28) r(all_0_5_5) = all_0_4_4
% 56.36/16.87  							| (212)  ! [v0] :  ~ (q(v0) = 0)
% 56.36/16.87  							|
% 56.36/16.87  							| Instantiating formula (1496) with all_0_4_4, all_0_5_5 and discharging atoms r(all_0_5_5) = all_0_4_4, yields:
% 56.36/16.87  							| (3142)  ~ (all_0_12_12 = 0) | all_0_4_4 = 0
% 56.36/16.87  							|
% 56.36/16.87  							+-Applying beta-rule and splitting (3142), into two cases.
% 56.36/16.87  							|-Branch one:
% 56.36/16.87  							| (135)  ~ (all_0_12_12 = 0)
% 56.36/16.87  							|
% 56.36/16.87  								| Equations (66) can reduce 135 to:
% 56.36/16.87  								| (59) $false
% 56.36/16.87  								|
% 56.36/16.87  								|-The branch is then unsatisfiable
% 56.36/16.87  							|-Branch two:
% 56.36/16.87  							| (66) all_0_12_12 = 0
% 56.36/16.87  							| (37) all_0_4_4 = 0
% 56.36/16.87  							|
% 56.36/16.87  								| Equations (37) can reduce 214 to:
% 56.36/16.87  								| (59) $false
% 56.36/16.87  								|
% 56.36/16.87  								|-The branch is then unsatisfiable
% 56.36/16.87  					|-Branch two:
% 56.36/16.87  					| (1667)  ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (r(v0) = 0)
% 56.36/16.87  					|
% 56.36/16.87  						| Applying alpha-rule on (1667) yields:
% 56.36/16.87  						| (52)  ~ (all_0_10_10 = 0)
% 56.36/16.87  						| (47) s(all_0_11_11) = all_0_10_10
% 56.36/16.87  						| (221)  ! [v0] :  ~ (r(v0) = 0)
% 56.36/16.87  						|
% 56.36/16.87  						+-Applying beta-rule and splitting (9007), into two cases.
% 56.36/16.87  						|-Branch one:
% 56.36/16.87  						| (9027) all_0_4_4 = 0 & q(all_0_5_5) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 56.36/16.87  						|
% 56.36/16.87  							| Applying alpha-rule on (9027) yields:
% 56.36/16.87  							| (37) all_0_4_4 = 0
% 56.36/16.87  							| (9029) q(all_0_5_5) = 0
% 56.36/16.87  							| (41)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 56.36/16.87  							|
% 56.36/16.87  							| Instantiating formula (41) with all_0_12_12, all_0_13_13 and discharging atoms r(all_0_13_13) = all_0_12_12, yields:
% 56.36/16.87  							| (66) all_0_12_12 = 0
% 56.36/16.87  							|
% 56.36/16.87  							| From (66) and (1495) follows:
% 56.36/16.87  							| (1676) r(all_0_13_13) = 0
% 56.36/16.87  							|
% 56.36/16.87  							| Instantiating formula (221) with all_0_13_13 and discharging atoms r(all_0_13_13) = 0, yields:
% 56.36/16.87  							| (79) $false
% 56.36/16.87  							|
% 56.36/16.87  							|-The branch is then unsatisfiable
% 56.36/16.87  						|-Branch two:
% 56.36/16.88  						| (9194)  ~ (all_0_4_4 = 0) & r(all_0_5_5) = all_0_4_4 &  ! [v0] :  ~ (q(v0) = 0)
% 56.36/16.88  						|
% 56.36/16.88  							| Applying alpha-rule on (9194) yields:
% 56.36/16.88  							| (214)  ~ (all_0_4_4 = 0)
% 56.36/16.88  							| (28) r(all_0_5_5) = all_0_4_4
% 56.36/16.88  							| (212)  ! [v0] :  ~ (q(v0) = 0)
% 56.36/16.88  							|
% 56.36/16.88  							+-Applying beta-rule and splitting (1498), into two cases.
% 56.36/16.88  							|-Branch one:
% 56.36/16.88  							| (1509) ((all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))
% 56.36/16.88  							|
% 56.36/16.88  								| Applying alpha-rule on (1509) yields:
% 56.36/16.88  								| (1510) (all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0))
% 56.36/16.88  								| (1511) (s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))))
% 56.36/16.88  								|
% 56.36/16.88  								+-Applying beta-rule and splitting (1511), into two cases.
% 56.36/16.88  								|-Branch one:
% 56.36/16.88  								| (1512) s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 56.36/16.88  								|
% 56.36/16.88  									| Applying alpha-rule on (1512) yields:
% 56.36/16.88  									| (1513) s(all_0_17_17) = all_0_16_16
% 56.36/16.88  									| (1514)  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 56.36/16.88  									| (1515)  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0))
% 56.36/16.88  									| (1516) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 56.36/16.88  									|
% 56.36/16.88  									| Instantiating formula (1514) with all_0_10_10, all_0_11_11 and discharging atoms s(all_0_11_11) = all_0_10_10, yields:
% 56.36/16.88  									| (657)  ~ (all_0_16_16 = 0) | all_0_10_10 = 0
% 56.36/16.88  									|
% 56.36/16.88  									+-Applying beta-rule and splitting (657), into two cases.
% 56.36/16.88  									|-Branch one:
% 56.36/16.88  									| (71)  ~ (all_0_16_16 = 0)
% 56.36/16.88  									|
% 56.36/16.88  										+-Applying beta-rule and splitting (1510), into two cases.
% 56.36/16.88  										|-Branch one:
% 56.36/16.88  										| (1519) all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 56.36/16.88  										|
% 56.36/16.88  											| Applying alpha-rule on (1519) yields:
% 56.36/16.88  											| (74) all_0_14_14 = 0
% 56.36/16.88  											| (1521) s(all_0_15_15) = 0
% 56.36/16.88  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 56.36/16.88  											|
% 56.36/16.88  											| Instantiating formula (1515) with all_0_15_15 and discharging atoms s(all_0_15_15) = 0, yields:
% 56.36/16.88  											| (42) all_0_16_16 = 0
% 56.36/16.88  											|
% 56.36/16.88  											| Equations (42) can reduce 71 to:
% 56.36/16.88  											| (59) $false
% 56.36/16.88  											|
% 56.36/16.88  											|-The branch is then unsatisfiable
% 56.36/16.88  										|-Branch two:
% 56.36/16.88  										| (1540)  ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0)
% 56.36/16.88  										|
% 56.36/16.88  											| Applying alpha-rule on (1540) yields:
% 56.36/16.88  											| (67)  ~ (all_0_14_14 = 0)
% 56.36/16.88  											| (475) p(all_0_15_15) = all_0_14_14
% 56.36/16.88  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 56.36/16.88  											|
% 56.36/16.88  											| Instantiating formula (5867) with all_0_14_14, all_0_15_15 and discharging atoms p(all_0_15_15) = all_0_14_14, yields:
% 56.36/16.88  											| (6381)  ? [v0] :  ? [v1] : (( ~ (all_0_14_14 = 0) | ( ~ (v1 = 0) & p(v0) = v1)) & (all_0_14_14 = 0 | (v1 = 0 & p(v0) = 0)))
% 56.36/16.88  											|
% 56.36/16.88  											| Instantiating (6381) with all_74_0_6594, all_74_1_6595 yields:
% 56.36/16.88  											| (11574) ( ~ (all_0_14_14 = 0) | ( ~ (all_74_0_6594 = 0) & p(all_74_1_6595) = all_74_0_6594)) & (all_0_14_14 = 0 | (all_74_0_6594 = 0 & p(all_74_1_6595) = 0))
% 56.36/16.88  											|
% 56.36/16.88  											| Applying alpha-rule on (11574) yields:
% 56.36/16.88  											| (11575)  ~ (all_0_14_14 = 0) | ( ~ (all_74_0_6594 = 0) & p(all_74_1_6595) = all_74_0_6594)
% 56.36/16.88  											| (11576) all_0_14_14 = 0 | (all_74_0_6594 = 0 & p(all_74_1_6595) = 0)
% 56.36/16.88  											|
% 56.36/16.88  											+-Applying beta-rule and splitting (1516), into two cases.
% 56.36/16.88  											|-Branch one:
% 56.36/16.88  											| (1525) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0
% 56.36/16.88  											|
% 56.36/16.88  												| Applying alpha-rule on (1525) yields:
% 56.36/16.88  												| (33) all_0_18_18 = 0
% 56.36/16.88  												| (34)  ~ (all_0_20_20 = 0)
% 56.36/16.88  												| (1528) q(all_0_21_21) = all_0_20_20
% 56.36/16.88  												| (1529) p(all_0_19_19) = 0
% 56.36/16.88  												|
% 56.36/16.88  												| Instantiating formula (717) with all_0_20_20, all_0_21_21 and discharging atoms q(all_0_21_21) = all_0_20_20, yields:
% 56.36/16.88  												| (2420)  ? [v0] :  ? [v1] : (( ~ (all_0_20_20 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_0_20_20 = 0 | (v1 = 0 & q(v0) = 0)))
% 56.36/16.88  												|
% 56.36/16.88  												| Instantiating (2420) with all_88_0_6598, all_88_1_6599 yields:
% 56.36/16.88  												| (11583) ( ~ (all_0_20_20 = 0) | ( ~ (all_88_0_6598 = 0) & q(all_88_1_6599) = all_88_0_6598)) & (all_0_20_20 = 0 | (all_88_0_6598 = 0 & q(all_88_1_6599) = 0))
% 56.36/16.88  												|
% 56.36/16.88  												| Applying alpha-rule on (11583) yields:
% 56.36/16.88  												| (11584)  ~ (all_0_20_20 = 0) | ( ~ (all_88_0_6598 = 0) & q(all_88_1_6599) = all_88_0_6598)
% 56.36/16.88  												| (11585) all_0_20_20 = 0 | (all_88_0_6598 = 0 & q(all_88_1_6599) = 0)
% 56.36/16.88  												|
% 56.36/16.88  												+-Applying beta-rule and splitting (11585), into two cases.
% 56.36/16.88  												|-Branch one:
% 56.36/16.88  												| (81) all_0_20_20 = 0
% 56.36/16.88  												|
% 56.36/16.88  													| Equations (81) can reduce 34 to:
% 56.36/16.88  													| (59) $false
% 56.36/16.88  													|
% 56.36/16.88  													|-The branch is then unsatisfiable
% 56.36/16.88  												|-Branch two:
% 56.36/16.88  												| (34)  ~ (all_0_20_20 = 0)
% 56.36/16.88  												| (11589) all_88_0_6598 = 0 & q(all_88_1_6599) = 0
% 56.36/16.88  												|
% 56.36/16.88  													| Applying alpha-rule on (11589) yields:
% 56.36/16.88  													| (11590) all_88_0_6598 = 0
% 56.36/16.88  													| (11591) q(all_88_1_6599) = 0
% 56.36/16.88  													|
% 56.36/16.88  													| Instantiating formula (212) with all_88_1_6599 and discharging atoms q(all_88_1_6599) = 0, yields:
% 56.36/16.88  													| (79) $false
% 56.36/16.88  													|
% 56.36/16.88  													|-The branch is then unsatisfiable
% 56.36/16.88  											|-Branch two:
% 56.36/16.88  											| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 56.36/16.88  											|
% 56.36/16.88  												| Applying alpha-rule on (76) yields:
% 56.36/16.88  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 56.36/16.88  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 56.36/16.88  												|
% 56.36/16.88  												+-Applying beta-rule and splitting (11576), into two cases.
% 56.36/16.88  												|-Branch one:
% 56.36/16.88  												| (74) all_0_14_14 = 0
% 56.36/16.88  												|
% 56.36/16.88  													| Equations (74) can reduce 67 to:
% 56.36/16.88  													| (59) $false
% 56.36/16.88  													|
% 56.36/16.88  													|-The branch is then unsatisfiable
% 56.36/16.88  												|-Branch two:
% 56.36/16.88  												| (67)  ~ (all_0_14_14 = 0)
% 56.36/16.89  												| (11599) all_74_0_6594 = 0 & p(all_74_1_6595) = 0
% 56.36/16.89  												|
% 56.36/16.89  													| Applying alpha-rule on (11599) yields:
% 56.36/16.89  													| (11600) all_74_0_6594 = 0
% 56.36/16.89  													| (11601) p(all_74_1_6595) = 0
% 56.36/16.89  													|
% 56.36/16.89  													| Instantiating formula (78) with all_74_1_6595 and discharging atoms p(all_74_1_6595) = 0, yields:
% 56.36/16.89  													| (79) $false
% 56.36/16.89  													|
% 56.36/16.89  													|-The branch is then unsatisfiable
% 56.36/16.89  									|-Branch two:
% 56.36/16.89  									| (42) all_0_16_16 = 0
% 56.36/16.89  									| (58) all_0_10_10 = 0
% 56.36/16.89  									|
% 56.36/16.89  										| Equations (58) can reduce 52 to:
% 56.36/16.89  										| (59) $false
% 56.36/16.89  										|
% 56.36/16.89  										|-The branch is then unsatisfiable
% 56.36/16.89  								|-Branch two:
% 56.36/16.89  								| (1545)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))
% 56.36/16.89  								|
% 56.36/16.89  									| Applying alpha-rule on (1545) yields:
% 56.36/16.89  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 56.36/16.89  									| (1547) (all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))
% 56.36/16.89  									|
% 56.36/16.89  									| Instantiating formula (84) with all_0_10_10, all_0_11_11 and discharging atoms s(all_0_11_11) = all_0_10_10, yields:
% 56.36/16.89  									| (1726)  ? [v0] :  ? [v1] : (( ~ (all_0_10_10 = 0) | ( ~ (v1 = 0) & s(v0) = v1)) & (all_0_10_10 = 0 | (v1 = 0 & s(v0) = 0)))
% 56.36/16.89  									|
% 56.36/16.89  									| Instantiating (1726) with all_52_0_6600, all_52_1_6601 yields:
% 56.36/16.89  									| (11610) ( ~ (all_0_10_10 = 0) | ( ~ (all_52_0_6600 = 0) & s(all_52_1_6601) = all_52_0_6600)) & (all_0_10_10 = 0 | (all_52_0_6600 = 0 & s(all_52_1_6601) = 0))
% 56.36/16.89  									|
% 56.36/16.89  									| Applying alpha-rule on (11610) yields:
% 56.36/16.89  									| (11611)  ~ (all_0_10_10 = 0) | ( ~ (all_52_0_6600 = 0) & s(all_52_1_6601) = all_52_0_6600)
% 56.36/16.89  									| (11612) all_0_10_10 = 0 | (all_52_0_6600 = 0 & s(all_52_1_6601) = 0)
% 56.36/16.89  									|
% 56.36/16.89  									+-Applying beta-rule and splitting (11612), into two cases.
% 56.36/16.89  									|-Branch one:
% 56.36/16.89  									| (58) all_0_10_10 = 0
% 56.36/16.89  									|
% 56.36/16.89  										| Equations (58) can reduce 52 to:
% 56.36/16.89  										| (59) $false
% 56.36/16.89  										|
% 56.36/16.89  										|-The branch is then unsatisfiable
% 56.36/16.89  									|-Branch two:
% 56.36/16.89  									| (52)  ~ (all_0_10_10 = 0)
% 56.36/16.89  									| (11616) all_52_0_6600 = 0 & s(all_52_1_6601) = 0
% 56.36/16.89  									|
% 56.36/16.89  										| Applying alpha-rule on (11616) yields:
% 56.36/16.89  										| (11617) all_52_0_6600 = 0
% 56.36/16.89  										| (11618) s(all_52_1_6601) = 0
% 56.36/16.89  										|
% 56.36/16.89  										+-Applying beta-rule and splitting (1510), into two cases.
% 56.36/16.89  										|-Branch one:
% 56.36/16.89  										| (1519) all_0_14_14 = 0 & s(all_0_15_15) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 56.36/16.89  										|
% 56.36/16.89  											| Applying alpha-rule on (1519) yields:
% 56.36/16.89  											| (74) all_0_14_14 = 0
% 56.36/16.89  											| (1521) s(all_0_15_15) = 0
% 56.36/16.89  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 56.36/16.89  											|
% 56.36/16.89  											+-Applying beta-rule and splitting (1547), into two cases.
% 56.36/16.89  											|-Branch one:
% 56.36/16.89  											| (1563) all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 56.36/16.89  											|
% 56.36/16.89  												| Applying alpha-rule on (1563) yields:
% 56.36/16.89  												| (81) all_0_20_20 = 0
% 56.36/16.89  												| (1565) p(all_0_21_21) = 0
% 56.36/16.89  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 56.36/16.89  												|
% 56.36/16.89  												| Instantiating formula (5867) with 0, all_0_21_21 and discharging atoms p(all_0_21_21) = 0, yields:
% 56.36/16.89  												| (5930)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & p(v0) = v1)
% 56.36/16.89  												|
% 56.36/16.89  												| Instantiating (5930) with all_105_0_6610, all_105_1_6611 yields:
% 56.36/16.89  												| (11628)  ~ (all_105_0_6610 = 0) & p(all_105_1_6611) = all_105_0_6610
% 56.36/16.89  												|
% 56.36/16.89  												| Applying alpha-rule on (11628) yields:
% 56.36/16.89  												| (11629)  ~ (all_105_0_6610 = 0)
% 56.36/16.89  												| (11630) p(all_105_1_6611) = all_105_0_6610
% 56.36/16.89  												|
% 56.36/16.89  												| Instantiating formula (61) with all_105_0_6610, all_105_1_6611 and discharging atoms p(all_105_1_6611) = all_105_0_6610, yields:
% 56.36/16.89  												| (11631) all_105_0_6610 = 0
% 56.36/16.89  												|
% 56.36/16.89  												| Equations (11631) can reduce 11629 to:
% 56.36/16.89  												| (59) $false
% 56.36/16.89  												|
% 56.36/16.89  												|-The branch is then unsatisfiable
% 56.36/16.89  											|-Branch two:
% 56.36/16.89  											| (1573)  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)
% 56.36/16.89  											|
% 56.36/16.89  												| Applying alpha-rule on (1573) yields:
% 56.36/16.89  												| (34)  ~ (all_0_20_20 = 0)
% 56.36/16.89  												| (1528) q(all_0_21_21) = all_0_20_20
% 56.36/16.89  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 56.36/16.89  												|
% 56.36/16.89  												| Instantiating formula (717) with all_0_20_20, all_0_21_21 and discharging atoms q(all_0_21_21) = all_0_20_20, yields:
% 56.36/16.89  												| (2420)  ? [v0] :  ? [v1] : (( ~ (all_0_20_20 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_0_20_20 = 0 | (v1 = 0 & q(v0) = 0)))
% 56.36/16.89  												|
% 56.36/16.89  												| Instantiating (2420) with all_105_0_6614, all_105_1_6615 yields:
% 56.36/16.89  												| (11638) ( ~ (all_0_20_20 = 0) | ( ~ (all_105_0_6614 = 0) & q(all_105_1_6615) = all_105_0_6614)) & (all_0_20_20 = 0 | (all_105_0_6614 = 0 & q(all_105_1_6615) = 0))
% 56.36/16.89  												|
% 56.36/16.89  												| Applying alpha-rule on (11638) yields:
% 56.36/16.90  												| (11639)  ~ (all_0_20_20 = 0) | ( ~ (all_105_0_6614 = 0) & q(all_105_1_6615) = all_105_0_6614)
% 56.36/16.90  												| (11640) all_0_20_20 = 0 | (all_105_0_6614 = 0 & q(all_105_1_6615) = 0)
% 56.36/16.90  												|
% 56.36/16.90  												+-Applying beta-rule and splitting (11640), into two cases.
% 56.36/16.90  												|-Branch one:
% 56.36/16.90  												| (81) all_0_20_20 = 0
% 56.36/16.90  												|
% 56.36/16.90  													| Equations (81) can reduce 34 to:
% 56.36/16.90  													| (59) $false
% 56.36/16.90  													|
% 56.36/16.90  													|-The branch is then unsatisfiable
% 56.36/16.90  												|-Branch two:
% 56.36/16.90  												| (34)  ~ (all_0_20_20 = 0)
% 56.36/16.90  												| (11644) all_105_0_6614 = 0 & q(all_105_1_6615) = 0
% 56.36/16.90  												|
% 56.36/16.90  													| Applying alpha-rule on (11644) yields:
% 56.36/16.90  													| (11645) all_105_0_6614 = 0
% 56.36/16.90  													| (11646) q(all_105_1_6615) = 0
% 56.36/16.90  													|
% 56.36/16.90  													| Instantiating formula (212) with all_105_1_6615 and discharging atoms q(all_105_1_6615) = 0, yields:
% 56.36/16.90  													| (79) $false
% 56.36/16.90  													|
% 56.36/16.90  													|-The branch is then unsatisfiable
% 56.36/16.90  										|-Branch two:
% 56.36/16.90  										| (1540)  ~ (all_0_14_14 = 0) & p(all_0_15_15) = all_0_14_14 &  ! [v0] :  ~ (s(v0) = 0)
% 56.36/16.90  										|
% 56.36/16.90  											| Applying alpha-rule on (1540) yields:
% 56.36/16.90  											| (67)  ~ (all_0_14_14 = 0)
% 56.36/16.90  											| (475) p(all_0_15_15) = all_0_14_14
% 56.36/16.90  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 56.36/16.90  											|
% 56.36/16.90  											| Instantiating formula (62) with all_52_1_6601 and discharging atoms s(all_52_1_6601) = 0, yields:
% 56.36/16.90  											| (79) $false
% 56.36/16.90  											|
% 56.36/16.90  											|-The branch is then unsatisfiable
% 56.36/16.90  							|-Branch two:
% 56.36/16.90  							| (1583) ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))
% 56.36/16.90  							|
% 56.36/16.90  								| Applying alpha-rule on (1583) yields:
% 56.36/16.90  								| (1584) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))
% 56.36/16.90  								| (1585) (s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))
% 56.36/16.90  								|
% 56.36/16.90  								+-Applying beta-rule and splitting (1585), into two cases.
% 56.36/16.90  								|-Branch one:
% 56.36/16.90  								| (1586) s(all_0_15_15) = all_0_14_14 &  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0)) & ((all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)))
% 56.36/16.90  								|
% 56.36/16.90  									| Applying alpha-rule on (1586) yields:
% 56.36/16.90  									| (1587) s(all_0_15_15) = all_0_14_14
% 56.36/16.90  									| (1588)  ! [v0] :  ! [v1] : ( ~ (all_0_14_14 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 56.36/16.90  									| (1589)  ! [v0] : (all_0_14_14 = 0 |  ~ (s(v0) = 0))
% 56.36/16.90  									| (1590) (all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0))
% 56.36/16.90  									|
% 56.36/16.90  									| Instantiating formula (1588) with all_0_10_10, all_0_11_11 and discharging atoms s(all_0_11_11) = all_0_10_10, yields:
% 56.36/16.90  									| (1767)  ~ (all_0_14_14 = 0) | all_0_10_10 = 0
% 56.36/16.90  									|
% 56.36/16.90  									+-Applying beta-rule and splitting (1767), into two cases.
% 56.36/16.90  									|-Branch one:
% 56.36/16.90  									| (67)  ~ (all_0_14_14 = 0)
% 56.36/16.90  									|
% 56.36/16.90  										+-Applying beta-rule and splitting (1584), into two cases.
% 56.36/16.90  										|-Branch one:
% 56.36/16.90  										| (1593) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20
% 56.36/16.90  										|
% 56.36/16.90  											| Applying alpha-rule on (1593) yields:
% 56.36/16.90  											| (33) all_0_18_18 = 0
% 56.36/16.90  											| (34)  ~ (all_0_20_20 = 0)
% 56.36/16.90  											| (1596) s(all_0_19_19) = 0
% 56.36/16.90  											| (1597) p(all_0_21_21) = all_0_20_20
% 56.36/16.90  											|
% 56.36/16.90  											| Instantiating formula (1589) with all_0_19_19 and discharging atoms s(all_0_19_19) = 0, yields:
% 56.36/16.90  											| (74) all_0_14_14 = 0
% 56.36/16.90  											|
% 56.36/16.90  											| Equations (74) can reduce 67 to:
% 56.36/16.90  											| (59) $false
% 56.36/16.90  											|
% 56.36/16.90  											|-The branch is then unsatisfiable
% 56.36/16.90  										|-Branch two:
% 56.36/16.90  										| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 56.36/16.90  										|
% 56.36/16.90  											| Applying alpha-rule on (60) yields:
% 56.36/16.90  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 56.36/16.90  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 56.36/16.90  											|
% 56.36/16.90  											+-Applying beta-rule and splitting (1590), into two cases.
% 56.36/16.90  											|-Branch one:
% 56.36/16.90  											| (1599) all_0_16_16 = 0 & p(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 56.36/16.90  											|
% 56.36/16.90  												| Applying alpha-rule on (1599) yields:
% 56.36/16.90  												| (42) all_0_16_16 = 0
% 56.36/16.90  												| (1601) p(all_0_17_17) = 0
% 56.36/16.90  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 56.36/16.90  												|
% 56.36/16.90  												| Instantiating formula (5867) with 0, all_0_17_17 and discharging atoms p(all_0_17_17) = 0, yields:
% 56.36/16.90  												| (5930)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & p(v0) = v1)
% 56.36/16.90  												|
% 56.36/16.90  												| Instantiating (5930) with all_78_0_6618, all_78_1_6619 yields:
% 56.36/16.90  												| (11678)  ~ (all_78_0_6618 = 0) & p(all_78_1_6619) = all_78_0_6618
% 56.36/16.90  												|
% 56.36/16.90  												| Applying alpha-rule on (11678) yields:
% 56.36/16.90  												| (11679)  ~ (all_78_0_6618 = 0)
% 56.36/16.90  												| (11680) p(all_78_1_6619) = all_78_0_6618
% 56.36/16.90  												|
% 56.36/16.90  												| Instantiating formula (61) with all_78_0_6618, all_78_1_6619 and discharging atoms p(all_78_1_6619) = all_78_0_6618, yields:
% 56.36/16.90  												| (11681) all_78_0_6618 = 0
% 56.36/16.90  												|
% 56.36/16.90  												| Equations (11681) can reduce 11679 to:
% 56.36/16.90  												| (59) $false
% 56.36/16.90  												|
% 56.36/16.90  												|-The branch is then unsatisfiable
% 56.36/16.90  											|-Branch two:
% 56.36/16.90  											| (1609)  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (p(v0) = 0)
% 56.36/16.90  											|
% 56.36/16.90  												| Applying alpha-rule on (1609) yields:
% 56.36/16.90  												| (71)  ~ (all_0_16_16 = 0)
% 56.36/16.90  												| (23) q(all_0_17_17) = all_0_16_16
% 56.36/16.90  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 56.36/16.90  												|
% 56.36/16.90  												| Instantiating formula (717) with all_0_16_16, all_0_17_17 and discharging atoms q(all_0_17_17) = all_0_16_16, yields:
% 56.36/16.90  												| (2513)  ? [v0] :  ? [v1] : (( ~ (all_0_16_16 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_0_16_16 = 0 | (v1 = 0 & q(v0) = 0)))
% 56.36/16.90  												|
% 56.36/16.90  												| Instantiating (2513) with all_78_0_6620, all_78_1_6621 yields:
% 56.36/16.90  												| (11688) ( ~ (all_0_16_16 = 0) | ( ~ (all_78_0_6620 = 0) & q(all_78_1_6621) = all_78_0_6620)) & (all_0_16_16 = 0 | (all_78_0_6620 = 0 & q(all_78_1_6621) = 0))
% 56.36/16.90  												|
% 56.36/16.90  												| Applying alpha-rule on (11688) yields:
% 56.36/16.90  												| (11689)  ~ (all_0_16_16 = 0) | ( ~ (all_78_0_6620 = 0) & q(all_78_1_6621) = all_78_0_6620)
% 56.36/16.91  												| (11690) all_0_16_16 = 0 | (all_78_0_6620 = 0 & q(all_78_1_6621) = 0)
% 56.36/16.91  												|
% 56.36/16.91  												+-Applying beta-rule and splitting (11690), into two cases.
% 56.36/16.91  												|-Branch one:
% 56.36/16.91  												| (42) all_0_16_16 = 0
% 56.36/16.91  												|
% 56.36/16.91  													| Equations (42) can reduce 71 to:
% 56.36/16.91  													| (59) $false
% 56.36/16.91  													|
% 56.36/16.91  													|-The branch is then unsatisfiable
% 56.36/16.91  												|-Branch two:
% 56.36/16.91  												| (71)  ~ (all_0_16_16 = 0)
% 56.36/16.91  												| (11694) all_78_0_6620 = 0 & q(all_78_1_6621) = 0
% 56.36/16.91  												|
% 56.36/16.91  													| Applying alpha-rule on (11694) yields:
% 56.36/16.91  													| (11695) all_78_0_6620 = 0
% 56.36/16.91  													| (11696) q(all_78_1_6621) = 0
% 56.36/16.91  													|
% 56.36/16.91  													| Instantiating formula (212) with all_78_1_6621 and discharging atoms q(all_78_1_6621) = 0, yields:
% 56.36/16.91  													| (79) $false
% 56.36/16.91  													|
% 56.36/16.91  													|-The branch is then unsatisfiable
% 56.36/16.91  									|-Branch two:
% 56.36/16.91  									| (74) all_0_14_14 = 0
% 56.36/16.91  									| (58) all_0_10_10 = 0
% 56.36/16.91  									|
% 56.36/16.91  										| Equations (58) can reduce 52 to:
% 56.36/16.91  										| (59) $false
% 56.36/16.91  										|
% 56.36/16.91  										|-The branch is then unsatisfiable
% 56.36/16.91  								|-Branch two:
% 56.36/16.91  								| (1623)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 56.36/16.91  								|
% 56.36/16.91  									| Applying alpha-rule on (1623) yields:
% 56.36/16.91  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 56.36/16.91  									| (1625) (all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 56.36/16.91  									|
% 56.36/16.91  									| Instantiating formula (84) with all_0_10_10, all_0_11_11 and discharging atoms s(all_0_11_11) = all_0_10_10, yields:
% 56.36/16.91  									| (1726)  ? [v0] :  ? [v1] : (( ~ (all_0_10_10 = 0) | ( ~ (v1 = 0) & s(v0) = v1)) & (all_0_10_10 = 0 | (v1 = 0 & s(v0) = 0)))
% 56.36/16.91  									|
% 56.36/16.91  									| Instantiating (1726) with all_52_0_6622, all_52_1_6623 yields:
% 56.36/16.91  									| (11705) ( ~ (all_0_10_10 = 0) | ( ~ (all_52_0_6622 = 0) & s(all_52_1_6623) = all_52_0_6622)) & (all_0_10_10 = 0 | (all_52_0_6622 = 0 & s(all_52_1_6623) = 0))
% 56.36/16.91  									|
% 56.41/16.91  									| Applying alpha-rule on (11705) yields:
% 56.41/16.91  									| (11706)  ~ (all_0_10_10 = 0) | ( ~ (all_52_0_6622 = 0) & s(all_52_1_6623) = all_52_0_6622)
% 56.41/16.91  									| (11707) all_0_10_10 = 0 | (all_52_0_6622 = 0 & s(all_52_1_6623) = 0)
% 56.41/16.91  									|
% 56.41/16.91  									+-Applying beta-rule and splitting (11707), into two cases.
% 56.41/16.91  									|-Branch one:
% 56.41/16.91  									| (58) all_0_10_10 = 0
% 56.41/16.91  									|
% 56.41/16.91  										| Equations (58) can reduce 52 to:
% 56.41/16.91  										| (59) $false
% 56.41/16.91  										|
% 56.41/16.91  										|-The branch is then unsatisfiable
% 56.41/16.91  									|-Branch two:
% 56.41/16.91  									| (52)  ~ (all_0_10_10 = 0)
% 56.41/16.91  									| (11711) all_52_0_6622 = 0 & s(all_52_1_6623) = 0
% 56.41/16.91  									|
% 56.41/16.91  										| Applying alpha-rule on (11711) yields:
% 56.41/16.91  										| (11712) all_52_0_6622 = 0
% 56.41/16.91  										| (11713) s(all_52_1_6623) = 0
% 56.41/16.91  										|
% 56.41/16.91  										+-Applying beta-rule and splitting (1584), into two cases.
% 56.41/16.91  										|-Branch one:
% 56.41/16.91  										| (1593) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & s(all_0_19_19) = 0 & p(all_0_21_21) = all_0_20_20
% 56.41/16.91  										|
% 56.41/16.91  											| Applying alpha-rule on (1593) yields:
% 56.41/16.91  											| (33) all_0_18_18 = 0
% 56.41/16.91  											| (34)  ~ (all_0_20_20 = 0)
% 56.41/16.91  											| (1596) s(all_0_19_19) = 0
% 56.41/16.91  											| (1597) p(all_0_21_21) = all_0_20_20
% 56.41/16.91  											|
% 56.41/16.91  											| Instantiating formula (5867) with all_0_20_20, all_0_21_21 and discharging atoms p(all_0_21_21) = all_0_20_20, yields:
% 56.41/16.91  											| (7561)  ? [v0] :  ? [v1] : (( ~ (all_0_20_20 = 0) | ( ~ (v1 = 0) & p(v0) = v1)) & (all_0_20_20 = 0 | (v1 = 0 & p(v0) = 0)))
% 56.41/16.91  											|
% 56.41/16.91  											| Instantiating (7561) with all_84_0_6628, all_84_1_6629 yields:
% 56.41/16.91  											| (11720) ( ~ (all_0_20_20 = 0) | ( ~ (all_84_0_6628 = 0) & p(all_84_1_6629) = all_84_0_6628)) & (all_0_20_20 = 0 | (all_84_0_6628 = 0 & p(all_84_1_6629) = 0))
% 56.41/16.91  											|
% 56.41/16.91  											| Applying alpha-rule on (11720) yields:
% 56.41/16.91  											| (11721)  ~ (all_0_20_20 = 0) | ( ~ (all_84_0_6628 = 0) & p(all_84_1_6629) = all_84_0_6628)
% 56.41/16.91  											| (11722) all_0_20_20 = 0 | (all_84_0_6628 = 0 & p(all_84_1_6629) = 0)
% 56.41/16.91  											|
% 56.41/16.91  											+-Applying beta-rule and splitting (11722), into two cases.
% 56.41/16.91  											|-Branch one:
% 56.41/16.91  											| (81) all_0_20_20 = 0
% 56.41/16.91  											|
% 56.41/16.91  												| Equations (81) can reduce 34 to:
% 56.41/16.91  												| (59) $false
% 56.41/16.91  												|
% 56.41/16.91  												|-The branch is then unsatisfiable
% 56.41/16.91  											|-Branch two:
% 56.41/16.91  											| (34)  ~ (all_0_20_20 = 0)
% 56.41/16.91  											| (11726) all_84_0_6628 = 0 & p(all_84_1_6629) = 0
% 56.41/16.91  											|
% 56.41/16.91  												| Applying alpha-rule on (11726) yields:
% 56.41/16.92  												| (11727) all_84_0_6628 = 0
% 56.41/16.92  												| (11728) p(all_84_1_6629) = 0
% 56.41/16.92  												|
% 56.41/16.92  												+-Applying beta-rule and splitting (1625), into two cases.
% 56.41/16.92  												|-Branch one:
% 56.41/16.92  												| (1642) all_0_14_14 = 0 &  ~ (all_0_16_16 = 0) & q(all_0_17_17) = all_0_16_16 & p(all_0_15_15) = 0
% 56.41/16.92  												|
% 56.41/16.92  													| Applying alpha-rule on (1642) yields:
% 56.41/16.92  													| (74) all_0_14_14 = 0
% 56.41/16.92  													| (71)  ~ (all_0_16_16 = 0)
% 56.41/16.92  													| (23) q(all_0_17_17) = all_0_16_16
% 56.41/16.92  													| (105) p(all_0_15_15) = 0
% 56.41/16.92  													|
% 56.41/16.92  													| Instantiating formula (717) with all_0_16_16, all_0_17_17 and discharging atoms q(all_0_17_17) = all_0_16_16, yields:
% 56.41/16.92  													| (2513)  ? [v0] :  ? [v1] : (( ~ (all_0_16_16 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_0_16_16 = 0 | (v1 = 0 & q(v0) = 0)))
% 56.41/16.92  													|
% 56.41/16.92  													| Instantiating (2513) with all_176_0_6658, all_176_1_6659 yields:
% 56.41/16.92  													| (11735) ( ~ (all_0_16_16 = 0) | ( ~ (all_176_0_6658 = 0) & q(all_176_1_6659) = all_176_0_6658)) & (all_0_16_16 = 0 | (all_176_0_6658 = 0 & q(all_176_1_6659) = 0))
% 56.41/16.92  													|
% 56.41/16.92  													| Applying alpha-rule on (11735) yields:
% 56.41/16.92  													| (11736)  ~ (all_0_16_16 = 0) | ( ~ (all_176_0_6658 = 0) & q(all_176_1_6659) = all_176_0_6658)
% 56.41/16.92  													| (11737) all_0_16_16 = 0 | (all_176_0_6658 = 0 & q(all_176_1_6659) = 0)
% 56.41/16.92  													|
% 56.41/16.92  													+-Applying beta-rule and splitting (11737), into two cases.
% 56.41/16.92  													|-Branch one:
% 56.41/16.92  													| (42) all_0_16_16 = 0
% 56.41/16.92  													|
% 56.41/16.92  														| Equations (42) can reduce 71 to:
% 56.41/16.92  														| (59) $false
% 56.41/16.92  														|
% 56.41/16.92  														|-The branch is then unsatisfiable
% 56.41/16.92  													|-Branch two:
% 56.41/16.92  													| (71)  ~ (all_0_16_16 = 0)
% 56.41/16.92  													| (11741) all_176_0_6658 = 0 & q(all_176_1_6659) = 0
% 56.41/16.92  													|
% 56.41/16.92  														| Applying alpha-rule on (11741) yields:
% 56.41/16.92  														| (11742) all_176_0_6658 = 0
% 56.41/16.92  														| (11743) q(all_176_1_6659) = 0
% 56.41/16.92  														|
% 56.41/16.92  														| Instantiating formula (212) with all_176_1_6659 and discharging atoms q(all_176_1_6659) = 0, yields:
% 56.41/16.92  														| (79) $false
% 56.41/16.92  														|
% 56.41/16.92  														|-The branch is then unsatisfiable
% 56.41/16.92  												|-Branch two:
% 56.41/16.92  												| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 56.41/16.92  												|
% 56.41/16.92  													| Applying alpha-rule on (76) yields:
% 56.41/16.92  													| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 56.41/16.92  													| (78)  ! [v0] :  ~ (p(v0) = 0)
% 56.41/16.92  													|
% 56.41/16.92  													| Instantiating formula (78) with all_84_1_6629 and discharging atoms p(all_84_1_6629) = 0, yields:
% 56.41/16.92  													| (79) $false
% 56.41/16.92  													|
% 56.41/16.92  													|-The branch is then unsatisfiable
% 56.41/16.92  										|-Branch two:
% 56.41/16.92  										| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 56.41/16.92  										|
% 56.41/16.92  											| Applying alpha-rule on (60) yields:
% 56.41/16.92  											| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 56.41/16.92  											| (62)  ! [v0] :  ~ (s(v0) = 0)
% 56.41/16.92  											|
% 56.41/16.92  											| Instantiating formula (62) with all_52_1_6623 and discharging atoms s(all_52_1_6623) = 0, yields:
% 56.41/16.92  											| (79) $false
% 56.41/16.92  											|
% 56.41/16.92  											|-The branch is then unsatisfiable
% 56.41/16.92  				|-Branch two:
% 56.41/16.92  				| (1836)  ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0)))) & ((((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))))
% 56.41/16.92  				|
% 56.41/16.92  					| Applying alpha-rule on (1836) yields:
% 56.41/16.92  					| (370)  ! [v0] :  ! [v1] : ( ~ (r(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & r(v2) = v3)) & (v1 = 0 | (v3 = 0 & r(v2) = 0))))
% 56.41/16.92  					| (1838) (((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))) | (((all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))))
% 56.41/16.92  					|
% 56.41/16.92  					+-Applying beta-rule and splitting (1493), into two cases.
% 56.41/16.92  					|-Branch one:
% 56.41/16.92  					| (1499) all_0_10_10 = 0 & r(all_0_11_11) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))
% 56.41/16.92  					|
% 56.41/16.92  						| Applying alpha-rule on (1499) yields:
% 56.41/16.92  						| (58) all_0_10_10 = 0
% 56.41/16.92  						| (1501) r(all_0_11_11) = 0
% 56.41/16.92  						| (220)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (s(v0) = v1))
% 56.41/16.92  						|
% 56.41/16.92  						| Instantiating formula (370) with 0, all_0_11_11 and discharging atoms r(all_0_11_11) = 0, yields:
% 56.41/16.92  						| (377)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & r(v0) = v1)
% 56.41/16.92  						|
% 56.41/16.92  						| Instantiating (377) with all_37_0_6662, all_37_1_6663 yields:
% 56.41/16.92  						| (11761)  ~ (all_37_0_6662 = 0) & r(all_37_1_6663) = all_37_0_6662
% 56.41/16.92  						|
% 56.41/16.92  						| Applying alpha-rule on (11761) yields:
% 56.41/16.92  						| (11762)  ~ (all_37_0_6662 = 0)
% 56.41/16.92  						| (11763) r(all_37_1_6663) = all_37_0_6662
% 56.41/16.92  						|
% 56.41/16.92  						+-Applying beta-rule and splitting (9007), into two cases.
% 56.41/16.92  						|-Branch one:
% 56.41/16.93  						| (9027) all_0_4_4 = 0 & q(all_0_5_5) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 56.41/16.93  						|
% 56.41/16.93  							| Applying alpha-rule on (9027) yields:
% 56.41/16.93  							| (37) all_0_4_4 = 0
% 56.41/16.93  							| (9029) q(all_0_5_5) = 0
% 56.41/16.93  							| (41)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 56.41/16.93  							|
% 56.41/16.93  							| Instantiating formula (41) with all_37_0_6662, all_37_1_6663 and discharging atoms r(all_37_1_6663) = all_37_0_6662, yields:
% 56.41/16.93  							| (11768) all_37_0_6662 = 0
% 56.41/16.93  							|
% 56.41/16.93  							| Equations (11768) can reduce 11762 to:
% 56.41/16.93  							| (59) $false
% 56.41/16.93  							|
% 56.41/16.93  							|-The branch is then unsatisfiable
% 56.41/16.93  						|-Branch two:
% 56.41/16.93  						| (9194)  ~ (all_0_4_4 = 0) & r(all_0_5_5) = all_0_4_4 &  ! [v0] :  ~ (q(v0) = 0)
% 56.41/16.93  						|
% 56.41/16.93  							| Applying alpha-rule on (9194) yields:
% 56.41/16.93  							| (214)  ~ (all_0_4_4 = 0)
% 56.41/16.93  							| (28) r(all_0_5_5) = all_0_4_4
% 56.41/16.93  							| (212)  ! [v0] :  ~ (q(v0) = 0)
% 56.41/16.93  							|
% 56.41/16.93  							+-Applying beta-rule and splitting (1838), into two cases.
% 56.41/16.93  							|-Branch one:
% 56.41/16.93  							| (1857) ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))
% 56.41/16.93  							|
% 56.41/16.93  								| Applying alpha-rule on (1857) yields:
% 56.41/16.93  								| (469) (all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))
% 56.41/16.93  								| (1511) (s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))))
% 56.41/16.93  								|
% 56.41/16.93  								+-Applying beta-rule and splitting (469), into two cases.
% 56.41/16.93  								|-Branch one:
% 56.41/16.93  								| (471) all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14
% 56.41/16.93  								|
% 56.41/16.93  									| Applying alpha-rule on (471) yields:
% 56.41/16.93  									| (66) all_0_12_12 = 0
% 56.41/16.93  									| (67)  ~ (all_0_14_14 = 0)
% 56.41/16.93  									| (310) s(all_0_13_13) = 0
% 56.41/16.93  									| (475) p(all_0_15_15) = all_0_14_14
% 56.41/16.93  									|
% 56.41/16.93  									+-Applying beta-rule and splitting (1511), into two cases.
% 56.41/16.93  									|-Branch one:
% 56.41/16.93  									| (1512) s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 56.41/16.93  									|
% 56.41/16.93  										| Applying alpha-rule on (1512) yields:
% 56.41/16.93  										| (1513) s(all_0_17_17) = all_0_16_16
% 56.41/16.93  										| (1514)  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 56.41/16.93  										| (1515)  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0))
% 56.41/16.93  										| (1516) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 56.41/16.93  										|
% 56.41/16.93  										| Instantiating formula (5867) with all_0_14_14, all_0_15_15 and discharging atoms p(all_0_15_15) = all_0_14_14, yields:
% 56.41/16.93  										| (6381)  ? [v0] :  ? [v1] : (( ~ (all_0_14_14 = 0) | ( ~ (v1 = 0) & p(v0) = v1)) & (all_0_14_14 = 0 | (v1 = 0 & p(v0) = 0)))
% 56.41/16.93  										|
% 56.41/16.93  										| Instantiating (6381) with all_276_0_6734, all_276_1_6735 yields:
% 56.41/16.93  										| (11788) ( ~ (all_0_14_14 = 0) | ( ~ (all_276_0_6734 = 0) & p(all_276_1_6735) = all_276_0_6734)) & (all_0_14_14 = 0 | (all_276_0_6734 = 0 & p(all_276_1_6735) = 0))
% 56.41/16.93  										|
% 56.41/16.93  										| Applying alpha-rule on (11788) yields:
% 56.41/16.93  										| (11789)  ~ (all_0_14_14 = 0) | ( ~ (all_276_0_6734 = 0) & p(all_276_1_6735) = all_276_0_6734)
% 56.41/16.93  										| (11790) all_0_14_14 = 0 | (all_276_0_6734 = 0 & p(all_276_1_6735) = 0)
% 56.41/16.93  										|
% 56.41/16.93  										+-Applying beta-rule and splitting (11790), into two cases.
% 56.41/16.93  										|-Branch one:
% 56.41/16.93  										| (74) all_0_14_14 = 0
% 56.41/16.93  										|
% 56.41/16.93  											| Equations (74) can reduce 67 to:
% 56.41/16.93  											| (59) $false
% 56.41/16.93  											|
% 56.41/16.93  											|-The branch is then unsatisfiable
% 56.41/16.93  										|-Branch two:
% 56.41/16.93  										| (67)  ~ (all_0_14_14 = 0)
% 56.41/16.93  										| (11794) all_276_0_6734 = 0 & p(all_276_1_6735) = 0
% 56.41/16.93  										|
% 56.41/16.93  											| Applying alpha-rule on (11794) yields:
% 56.41/16.93  											| (11795) all_276_0_6734 = 0
% 56.41/16.93  											| (11796) p(all_276_1_6735) = 0
% 56.41/16.93  											|
% 56.41/16.93  											+-Applying beta-rule and splitting (1516), into two cases.
% 56.41/16.93  											|-Branch one:
% 56.41/16.93  											| (1525) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0
% 56.41/16.93  											|
% 56.41/16.93  												| Applying alpha-rule on (1525) yields:
% 56.41/16.93  												| (33) all_0_18_18 = 0
% 56.41/16.93  												| (34)  ~ (all_0_20_20 = 0)
% 56.41/16.93  												| (1528) q(all_0_21_21) = all_0_20_20
% 56.41/16.93  												| (1529) p(all_0_19_19) = 0
% 56.41/16.93  												|
% 56.41/16.93  												| Instantiating formula (717) with all_0_20_20, all_0_21_21 and discharging atoms q(all_0_21_21) = all_0_20_20, yields:
% 56.41/16.93  												| (2420)  ? [v0] :  ? [v1] : (( ~ (all_0_20_20 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_0_20_20 = 0 | (v1 = 0 & q(v0) = 0)))
% 56.41/16.93  												|
% 56.41/16.93  												| Instantiating (2420) with all_397_0_6782, all_397_1_6783 yields:
% 56.41/16.93  												| (11803) ( ~ (all_0_20_20 = 0) | ( ~ (all_397_0_6782 = 0) & q(all_397_1_6783) = all_397_0_6782)) & (all_0_20_20 = 0 | (all_397_0_6782 = 0 & q(all_397_1_6783) = 0))
% 56.41/16.93  												|
% 56.41/16.93  												| Applying alpha-rule on (11803) yields:
% 56.41/16.93  												| (11804)  ~ (all_0_20_20 = 0) | ( ~ (all_397_0_6782 = 0) & q(all_397_1_6783) = all_397_0_6782)
% 56.41/16.93  												| (11805) all_0_20_20 = 0 | (all_397_0_6782 = 0 & q(all_397_1_6783) = 0)
% 56.41/16.93  												|
% 56.41/16.94  												+-Applying beta-rule and splitting (11805), into two cases.
% 56.41/16.94  												|-Branch one:
% 56.41/16.94  												| (81) all_0_20_20 = 0
% 56.41/16.94  												|
% 56.41/16.94  													| Equations (81) can reduce 34 to:
% 56.41/16.94  													| (59) $false
% 56.41/16.94  													|
% 56.41/16.94  													|-The branch is then unsatisfiable
% 56.41/16.94  												|-Branch two:
% 56.41/16.94  												| (34)  ~ (all_0_20_20 = 0)
% 56.41/16.94  												| (11809) all_397_0_6782 = 0 & q(all_397_1_6783) = 0
% 56.41/16.94  												|
% 56.41/16.94  													| Applying alpha-rule on (11809) yields:
% 56.41/16.94  													| (11810) all_397_0_6782 = 0
% 56.41/16.94  													| (11811) q(all_397_1_6783) = 0
% 56.41/16.94  													|
% 56.41/16.94  													| Instantiating formula (212) with all_397_1_6783 and discharging atoms q(all_397_1_6783) = 0, yields:
% 56.41/16.94  													| (79) $false
% 56.41/16.94  													|
% 56.41/16.94  													|-The branch is then unsatisfiable
% 56.41/16.94  											|-Branch two:
% 56.41/16.94  											| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 56.41/16.94  											|
% 56.41/16.94  												| Applying alpha-rule on (76) yields:
% 56.41/16.94  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 56.41/16.94  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 56.41/16.94  												|
% 56.41/16.94  												| Instantiating formula (78) with all_276_1_6735 and discharging atoms p(all_276_1_6735) = 0, yields:
% 56.41/16.94  												| (79) $false
% 56.41/16.94  												|
% 56.41/16.94  												|-The branch is then unsatisfiable
% 56.41/16.94  									|-Branch two:
% 56.41/16.94  									| (1545)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))
% 56.41/16.94  									|
% 56.41/16.94  										| Applying alpha-rule on (1545) yields:
% 56.41/16.94  										| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 56.41/16.94  										| (1547) (all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))
% 56.41/16.94  										|
% 56.41/16.94  										| Instantiating formula (84) with 0, all_0_13_13 and discharging atoms s(all_0_13_13) = 0, yields:
% 56.41/16.94  										| (278)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & s(v0) = v1)
% 56.41/16.94  										|
% 56.41/16.94  										| Instantiating (278) with all_276_0_6790, all_276_1_6791 yields:
% 56.43/16.94  										| (11821)  ~ (all_276_0_6790 = 0) & s(all_276_1_6791) = all_276_0_6790
% 56.43/16.94  										|
% 56.43/16.94  										| Applying alpha-rule on (11821) yields:
% 56.43/16.94  										| (11822)  ~ (all_276_0_6790 = 0)
% 56.43/16.94  										| (11823) s(all_276_1_6791) = all_276_0_6790
% 56.43/16.94  										|
% 56.43/16.94  										| Instantiating formula (220) with all_276_0_6790, all_276_1_6791 and discharging atoms s(all_276_1_6791) = all_276_0_6790, yields:
% 56.43/16.94  										| (11824) all_276_0_6790 = 0
% 56.43/16.94  										|
% 56.43/16.94  										| Equations (11824) can reduce 11822 to:
% 56.43/16.94  										| (59) $false
% 56.43/16.94  										|
% 56.43/16.94  										|-The branch is then unsatisfiable
% 56.43/16.94  								|-Branch two:
% 56.43/16.94  								| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 56.43/16.94  								|
% 56.43/16.94  									| Applying alpha-rule on (60) yields:
% 56.43/16.94  									| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 56.43/16.94  									| (62)  ! [v0] :  ~ (s(v0) = 0)
% 56.43/16.94  									|
% 56.43/16.94  									+-Applying beta-rule and splitting (1511), into two cases.
% 56.43/16.94  									|-Branch one:
% 56.43/16.94  									| (1512) s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 56.43/16.94  									|
% 56.43/16.94  										| Applying alpha-rule on (1512) yields:
% 56.43/16.94  										| (1513) s(all_0_17_17) = all_0_16_16
% 56.43/16.94  										| (1514)  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 56.43/16.94  										| (1515)  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0))
% 56.43/16.94  										| (1516) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 56.43/16.94  										|
% 56.43/16.94  										| Instantiating formula (220) with all_0_16_16, all_0_17_17 and discharging atoms s(all_0_17_17) = all_0_16_16, yields:
% 56.43/16.94  										| (42) all_0_16_16 = 0
% 56.43/16.94  										|
% 56.43/16.94  										| From (42) and (1513) follows:
% 56.43/16.94  										| (1518) s(all_0_17_17) = 0
% 56.43/16.94  										|
% 56.43/16.94  										| Instantiating formula (62) with all_0_17_17 and discharging atoms s(all_0_17_17) = 0, yields:
% 56.43/16.94  										| (79) $false
% 56.43/16.94  										|
% 56.43/16.94  										|-The branch is then unsatisfiable
% 56.43/16.94  									|-Branch two:
% 56.43/16.94  									| (1545)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))
% 56.43/16.94  									|
% 56.43/16.94  										| Applying alpha-rule on (1545) yields:
% 56.43/16.94  										| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 56.43/16.94  										| (1547) (all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))
% 56.43/16.94  										|
% 56.43/16.94  										+-Applying beta-rule and splitting (1547), into two cases.
% 56.43/16.94  										|-Branch one:
% 56.43/16.94  										| (1563) all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 56.43/16.94  										|
% 56.43/16.94  											| Applying alpha-rule on (1563) yields:
% 56.43/16.94  											| (81) all_0_20_20 = 0
% 56.43/16.94  											| (1565) p(all_0_21_21) = 0
% 56.43/16.94  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 56.43/16.94  											|
% 56.43/16.94  											| Instantiating formula (5867) with 0, all_0_21_21 and discharging atoms p(all_0_21_21) = 0, yields:
% 56.43/16.94  											| (5930)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & p(v0) = v1)
% 56.43/16.94  											|
% 56.43/16.94  											| Instantiating (5930) with all_397_0_6832, all_397_1_6833 yields:
% 56.43/16.94  											| (11845)  ~ (all_397_0_6832 = 0) & p(all_397_1_6833) = all_397_0_6832
% 56.43/16.94  											|
% 56.43/16.94  											| Applying alpha-rule on (11845) yields:
% 56.43/16.94  											| (11846)  ~ (all_397_0_6832 = 0)
% 56.43/16.94  											| (11847) p(all_397_1_6833) = all_397_0_6832
% 56.43/16.94  											|
% 56.43/16.94  											| Instantiating formula (61) with all_397_0_6832, all_397_1_6833 and discharging atoms p(all_397_1_6833) = all_397_0_6832, yields:
% 56.43/16.94  											| (11848) all_397_0_6832 = 0
% 56.43/16.94  											|
% 56.43/16.95  											| Equations (11848) can reduce 11846 to:
% 56.43/16.95  											| (59) $false
% 56.43/16.95  											|
% 56.43/16.95  											|-The branch is then unsatisfiable
% 56.43/16.95  										|-Branch two:
% 56.43/16.95  										| (1573)  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)
% 56.43/16.95  										|
% 56.43/16.95  											| Applying alpha-rule on (1573) yields:
% 56.43/16.95  											| (34)  ~ (all_0_20_20 = 0)
% 56.43/16.95  											| (1528) q(all_0_21_21) = all_0_20_20
% 56.43/16.95  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 56.43/16.95  											|
% 56.43/16.95  											| Instantiating formula (717) with all_0_20_20, all_0_21_21 and discharging atoms q(all_0_21_21) = all_0_20_20, yields:
% 56.43/16.95  											| (2420)  ? [v0] :  ? [v1] : (( ~ (all_0_20_20 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_0_20_20 = 0 | (v1 = 0 & q(v0) = 0)))
% 56.43/16.95  											|
% 56.43/16.95  											| Instantiating (2420) with all_397_0_6838, all_397_1_6839 yields:
% 56.43/16.95  											| (11855) ( ~ (all_0_20_20 = 0) | ( ~ (all_397_0_6838 = 0) & q(all_397_1_6839) = all_397_0_6838)) & (all_0_20_20 = 0 | (all_397_0_6838 = 0 & q(all_397_1_6839) = 0))
% 56.43/16.95  											|
% 56.43/16.95  											| Applying alpha-rule on (11855) yields:
% 56.43/16.95  											| (11856)  ~ (all_0_20_20 = 0) | ( ~ (all_397_0_6838 = 0) & q(all_397_1_6839) = all_397_0_6838)
% 56.43/16.95  											| (11857) all_0_20_20 = 0 | (all_397_0_6838 = 0 & q(all_397_1_6839) = 0)
% 56.43/16.95  											|
% 56.43/16.95  											+-Applying beta-rule and splitting (11857), into two cases.
% 56.43/16.95  											|-Branch one:
% 56.43/16.95  											| (81) all_0_20_20 = 0
% 56.43/16.95  											|
% 56.43/16.95  												| Equations (81) can reduce 34 to:
% 56.43/16.95  												| (59) $false
% 56.43/16.95  												|
% 56.43/16.95  												|-The branch is then unsatisfiable
% 56.43/16.95  											|-Branch two:
% 56.43/16.95  											| (34)  ~ (all_0_20_20 = 0)
% 56.43/16.95  											| (11861) all_397_0_6838 = 0 & q(all_397_1_6839) = 0
% 56.43/16.95  											|
% 56.43/16.95  												| Applying alpha-rule on (11861) yields:
% 56.43/16.95  												| (11862) all_397_0_6838 = 0
% 56.43/16.95  												| (11863) q(all_397_1_6839) = 0
% 56.43/16.95  												|
% 56.43/16.95  												| Instantiating formula (212) with all_397_1_6839 and discharging atoms q(all_397_1_6839) = 0, yields:
% 56.43/16.95  												| (79) $false
% 56.43/16.95  												|
% 56.43/16.95  												|-The branch is then unsatisfiable
% 56.43/16.95  							|-Branch two:
% 56.43/16.95  							| (1925) ((all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))
% 56.43/16.95  							|
% 56.43/16.95  								| Applying alpha-rule on (1925) yields:
% 56.43/16.95  								| (1926) (all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))
% 56.43/16.95  								| (1927) (s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))
% 56.43/16.95  								|
% 56.43/16.95  								+-Applying beta-rule and splitting (1926), into two cases.
% 56.43/16.95  								|-Branch one:
% 56.43/16.95  								| (1928) all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 56.43/16.95  								|
% 56.43/16.95  									| Applying alpha-rule on (1928) yields:
% 56.43/16.95  									| (42) all_0_16_16 = 0
% 56.43/16.95  									| (1518) s(all_0_17_17) = 0
% 56.43/16.95  									| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 56.43/16.95  									|
% 56.43/16.95  									+-Applying beta-rule and splitting (1927), into two cases.
% 56.43/16.95  									|-Branch one:
% 56.43/16.95  									| (1934) s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))
% 56.43/16.95  									|
% 56.43/16.95  										| Applying alpha-rule on (1934) yields:
% 56.43/16.95  										| (1935) s(all_0_19_19) = all_0_18_18
% 56.43/16.95  										| (1936)  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 56.43/16.95  										| (1937)  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0))
% 56.43/16.95  										| (1547) (all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))
% 56.43/16.95  										|
% 56.43/16.95  										+-Applying beta-rule and splitting (1547), into two cases.
% 56.43/16.95  										|-Branch one:
% 56.43/16.95  										| (1563) all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 56.43/16.95  										|
% 56.43/16.95  											| Applying alpha-rule on (1563) yields:
% 56.43/16.95  											| (81) all_0_20_20 = 0
% 56.43/16.95  											| (1565) p(all_0_21_21) = 0
% 56.43/16.95  											| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 56.43/16.95  											|
% 56.43/16.95  											| Instantiating formula (5867) with 0, all_0_21_21 and discharging atoms p(all_0_21_21) = 0, yields:
% 56.43/16.95  											| (5930)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & p(v0) = v1)
% 56.43/16.95  											|
% 56.43/16.95  											| Instantiating (5930) with all_392_0_6920, all_392_1_6921 yields:
% 56.43/16.95  											| (11882)  ~ (all_392_0_6920 = 0) & p(all_392_1_6921) = all_392_0_6920
% 56.43/16.95  											|
% 56.43/16.95  											| Applying alpha-rule on (11882) yields:
% 56.43/16.95  											| (11883)  ~ (all_392_0_6920 = 0)
% 56.43/16.95  											| (11884) p(all_392_1_6921) = all_392_0_6920
% 56.43/16.95  											|
% 56.43/16.95  											| Instantiating formula (61) with all_392_0_6920, all_392_1_6921 and discharging atoms p(all_392_1_6921) = all_392_0_6920, yields:
% 56.43/16.95  											| (11885) all_392_0_6920 = 0
% 56.43/16.95  											|
% 56.43/16.96  											| Equations (11885) can reduce 11883 to:
% 56.43/16.96  											| (59) $false
% 56.43/16.96  											|
% 56.43/16.96  											|-The branch is then unsatisfiable
% 56.43/16.96  										|-Branch two:
% 56.43/16.96  										| (1573)  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)
% 56.43/16.96  										|
% 56.43/16.96  											| Applying alpha-rule on (1573) yields:
% 56.43/16.96  											| (34)  ~ (all_0_20_20 = 0)
% 56.43/16.96  											| (1528) q(all_0_21_21) = all_0_20_20
% 56.43/16.96  											| (78)  ! [v0] :  ~ (p(v0) = 0)
% 56.43/16.96  											|
% 56.43/16.96  											| Instantiating formula (717) with all_0_20_20, all_0_21_21 and discharging atoms q(all_0_21_21) = all_0_20_20, yields:
% 56.43/16.96  											| (2420)  ? [v0] :  ? [v1] : (( ~ (all_0_20_20 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_0_20_20 = 0 | (v1 = 0 & q(v0) = 0)))
% 56.43/16.96  											|
% 56.43/16.96  											| Instantiating (2420) with all_392_0_6926, all_392_1_6927 yields:
% 56.43/16.96  											| (11892) ( ~ (all_0_20_20 = 0) | ( ~ (all_392_0_6926 = 0) & q(all_392_1_6927) = all_392_0_6926)) & (all_0_20_20 = 0 | (all_392_0_6926 = 0 & q(all_392_1_6927) = 0))
% 56.43/16.96  											|
% 56.43/16.96  											| Applying alpha-rule on (11892) yields:
% 56.43/16.96  											| (11893)  ~ (all_0_20_20 = 0) | ( ~ (all_392_0_6926 = 0) & q(all_392_1_6927) = all_392_0_6926)
% 56.43/16.96  											| (11894) all_0_20_20 = 0 | (all_392_0_6926 = 0 & q(all_392_1_6927) = 0)
% 56.43/16.96  											|
% 56.43/16.96  											+-Applying beta-rule and splitting (11894), into two cases.
% 56.43/16.96  											|-Branch one:
% 56.43/16.96  											| (81) all_0_20_20 = 0
% 56.43/16.96  											|
% 56.43/16.96  												| Equations (81) can reduce 34 to:
% 56.43/16.96  												| (59) $false
% 56.43/16.96  												|
% 56.43/16.96  												|-The branch is then unsatisfiable
% 56.43/16.96  											|-Branch two:
% 56.43/16.96  											| (34)  ~ (all_0_20_20 = 0)
% 56.43/16.96  											| (11898) all_392_0_6926 = 0 & q(all_392_1_6927) = 0
% 56.43/16.96  											|
% 56.43/16.96  												| Applying alpha-rule on (11898) yields:
% 56.43/16.96  												| (11899) all_392_0_6926 = 0
% 56.43/16.96  												| (11900) q(all_392_1_6927) = 0
% 56.43/16.96  												|
% 56.43/16.96  												| Instantiating formula (212) with all_392_1_6927 and discharging atoms q(all_392_1_6927) = 0, yields:
% 56.43/16.96  												| (79) $false
% 56.43/16.96  												|
% 56.43/16.96  												|-The branch is then unsatisfiable
% 56.43/16.96  									|-Branch two:
% 56.43/16.96  									| (1951)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 56.43/16.96  									|
% 56.43/16.96  										| Applying alpha-rule on (1951) yields:
% 56.43/16.96  										| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 56.43/16.96  										| (1516) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 56.43/16.96  										|
% 56.43/16.96  										| Instantiating formula (84) with 0, all_0_17_17 and discharging atoms s(all_0_17_17) = 0, yields:
% 56.43/16.96  										| (278)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & s(v0) = v1)
% 56.43/16.96  										|
% 56.43/16.96  										| Instantiating (278) with all_275_0_6934, all_275_1_6935 yields:
% 56.43/16.96  										| (11906)  ~ (all_275_0_6934 = 0) & s(all_275_1_6935) = all_275_0_6934
% 56.43/16.96  										|
% 56.43/16.96  										| Applying alpha-rule on (11906) yields:
% 56.43/16.96  										| (11907)  ~ (all_275_0_6934 = 0)
% 56.43/16.96  										| (11908) s(all_275_1_6935) = all_275_0_6934
% 56.43/16.96  										|
% 56.43/16.96  										| Instantiating formula (220) with all_275_0_6934, all_275_1_6935 and discharging atoms s(all_275_1_6935) = all_275_0_6934, yields:
% 56.43/16.96  										| (11909) all_275_0_6934 = 0
% 56.43/16.96  										|
% 56.43/16.96  										| Equations (11909) can reduce 11907 to:
% 56.43/16.96  										| (59) $false
% 56.43/16.96  										|
% 56.43/16.96  										|-The branch is then unsatisfiable
% 56.43/16.96  								|-Branch two:
% 56.43/16.96  								| (1960)  ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0)
% 56.43/16.96  								|
% 56.43/16.96  									| Applying alpha-rule on (1960) yields:
% 56.43/16.96  									| (71)  ~ (all_0_16_16 = 0)
% 56.43/16.96  									| (1962) p(all_0_17_17) = all_0_16_16
% 56.43/16.96  									| (62)  ! [v0] :  ~ (s(v0) = 0)
% 56.43/16.96  									|
% 56.43/16.96  									+-Applying beta-rule and splitting (1927), into two cases.
% 56.43/16.96  									|-Branch one:
% 56.43/16.96  									| (1934) s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))
% 56.43/16.96  									|
% 56.43/16.96  										| Applying alpha-rule on (1934) yields:
% 56.43/16.96  										| (1935) s(all_0_19_19) = all_0_18_18
% 56.43/16.96  										| (1936)  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 56.43/16.96  										| (1937)  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0))
% 56.43/16.96  										| (1547) (all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))
% 56.43/16.96  										|
% 56.43/16.96  										| Instantiating formula (220) with all_0_18_18, all_0_19_19 and discharging atoms s(all_0_19_19) = all_0_18_18, yields:
% 56.43/16.96  										| (33) all_0_18_18 = 0
% 56.43/16.96  										|
% 56.43/16.96  										| From (33) and (1935) follows:
% 56.43/16.96  										| (1596) s(all_0_19_19) = 0
% 56.43/16.96  										|
% 56.43/16.96  										| Instantiating formula (62) with all_0_19_19 and discharging atoms s(all_0_19_19) = 0, yields:
% 56.43/16.96  										| (79) $false
% 56.43/16.96  										|
% 56.43/16.96  										|-The branch is then unsatisfiable
% 56.43/16.96  									|-Branch two:
% 56.43/16.96  									| (1951)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 56.43/16.96  									|
% 56.43/16.96  										| Applying alpha-rule on (1951) yields:
% 56.43/16.96  										| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 56.43/16.96  										| (1516) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 56.43/16.96  										|
% 56.43/16.96  										| Instantiating formula (5867) with all_0_16_16, all_0_17_17 and discharging atoms p(all_0_17_17) = all_0_16_16, yields:
% 56.43/16.96  										| (7971)  ? [v0] :  ? [v1] : (( ~ (all_0_16_16 = 0) | ( ~ (v1 = 0) & p(v0) = v1)) & (all_0_16_16 = 0 | (v1 = 0 & p(v0) = 0)))
% 56.43/16.96  										|
% 56.43/16.96  										| Instantiating (7971) with all_273_0_6938, all_273_1_6939 yields:
% 56.43/16.97  										| (11927) ( ~ (all_0_16_16 = 0) | ( ~ (all_273_0_6938 = 0) & p(all_273_1_6939) = all_273_0_6938)) & (all_0_16_16 = 0 | (all_273_0_6938 = 0 & p(all_273_1_6939) = 0))
% 56.43/16.97  										|
% 56.43/16.97  										| Applying alpha-rule on (11927) yields:
% 56.43/16.97  										| (11928)  ~ (all_0_16_16 = 0) | ( ~ (all_273_0_6938 = 0) & p(all_273_1_6939) = all_273_0_6938)
% 56.43/16.97  										| (11929) all_0_16_16 = 0 | (all_273_0_6938 = 0 & p(all_273_1_6939) = 0)
% 56.43/16.97  										|
% 56.43/16.97  										+-Applying beta-rule and splitting (11929), into two cases.
% 56.43/16.97  										|-Branch one:
% 56.43/16.97  										| (42) all_0_16_16 = 0
% 56.43/16.97  										|
% 56.43/16.97  											| Equations (42) can reduce 71 to:
% 56.43/16.97  											| (59) $false
% 56.43/16.97  											|
% 56.43/16.97  											|-The branch is then unsatisfiable
% 56.43/16.97  										|-Branch two:
% 56.43/16.97  										| (71)  ~ (all_0_16_16 = 0)
% 56.43/16.97  										| (11933) all_273_0_6938 = 0 & p(all_273_1_6939) = 0
% 56.43/16.97  										|
% 56.43/16.97  											| Applying alpha-rule on (11933) yields:
% 56.43/16.97  											| (11934) all_273_0_6938 = 0
% 56.43/16.97  											| (11935) p(all_273_1_6939) = 0
% 56.43/16.97  											|
% 56.43/16.97  											+-Applying beta-rule and splitting (1516), into two cases.
% 56.43/16.97  											|-Branch one:
% 56.43/16.97  											| (1525) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0
% 56.43/16.97  											|
% 56.43/16.97  												| Applying alpha-rule on (1525) yields:
% 56.43/16.97  												| (33) all_0_18_18 = 0
% 56.43/16.97  												| (34)  ~ (all_0_20_20 = 0)
% 56.43/16.97  												| (1528) q(all_0_21_21) = all_0_20_20
% 56.43/16.97  												| (1529) p(all_0_19_19) = 0
% 56.43/16.97  												|
% 56.43/16.97  												| Instantiating formula (717) with all_0_20_20, all_0_21_21 and discharging atoms q(all_0_21_21) = all_0_20_20, yields:
% 56.43/16.97  												| (2420)  ? [v0] :  ? [v1] : (( ~ (all_0_20_20 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_0_20_20 = 0 | (v1 = 0 & q(v0) = 0)))
% 56.43/16.97  												|
% 56.43/16.97  												| Instantiating (2420) with all_406_0_6990, all_406_1_6991 yields:
% 56.43/16.97  												| (11942) ( ~ (all_0_20_20 = 0) | ( ~ (all_406_0_6990 = 0) & q(all_406_1_6991) = all_406_0_6990)) & (all_0_20_20 = 0 | (all_406_0_6990 = 0 & q(all_406_1_6991) = 0))
% 56.43/16.97  												|
% 56.43/16.97  												| Applying alpha-rule on (11942) yields:
% 56.43/16.97  												| (11943)  ~ (all_0_20_20 = 0) | ( ~ (all_406_0_6990 = 0) & q(all_406_1_6991) = all_406_0_6990)
% 56.43/16.97  												| (11944) all_0_20_20 = 0 | (all_406_0_6990 = 0 & q(all_406_1_6991) = 0)
% 56.43/16.97  												|
% 56.43/16.97  												+-Applying beta-rule and splitting (11944), into two cases.
% 56.43/16.97  												|-Branch one:
% 56.43/16.97  												| (81) all_0_20_20 = 0
% 56.43/16.97  												|
% 56.43/16.97  													| Equations (81) can reduce 34 to:
% 56.43/16.97  													| (59) $false
% 56.43/16.97  													|
% 56.43/16.97  													|-The branch is then unsatisfiable
% 56.43/16.97  												|-Branch two:
% 56.43/16.97  												| (34)  ~ (all_0_20_20 = 0)
% 56.43/16.97  												| (11948) all_406_0_6990 = 0 & q(all_406_1_6991) = 0
% 56.43/16.97  												|
% 56.43/16.97  													| Applying alpha-rule on (11948) yields:
% 56.43/16.97  													| (11949) all_406_0_6990 = 0
% 56.43/16.97  													| (11950) q(all_406_1_6991) = 0
% 56.43/16.97  													|
% 56.43/16.97  													| Instantiating formula (212) with all_406_1_6991 and discharging atoms q(all_406_1_6991) = 0, yields:
% 56.43/16.97  													| (79) $false
% 56.43/16.97  													|
% 56.43/16.97  													|-The branch is then unsatisfiable
% 56.43/16.97  											|-Branch two:
% 56.43/16.97  											| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 56.43/16.97  											|
% 56.43/16.97  												| Applying alpha-rule on (76) yields:
% 56.43/16.97  												| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 56.43/16.97  												| (78)  ! [v0] :  ~ (p(v0) = 0)
% 56.43/16.97  												|
% 56.43/16.97  												| Instantiating formula (78) with all_273_1_6939 and discharging atoms p(all_273_1_6939) = 0, yields:
% 56.43/16.97  												| (79) $false
% 56.43/16.97  												|
% 56.43/16.97  												|-The branch is then unsatisfiable
% 56.43/16.97  					|-Branch two:
% 56.43/16.97  					| (1667)  ~ (all_0_10_10 = 0) & s(all_0_11_11) = all_0_10_10 &  ! [v0] :  ~ (r(v0) = 0)
% 56.43/16.97  					|
% 56.43/16.97  						| Applying alpha-rule on (1667) yields:
% 56.43/16.97  						| (52)  ~ (all_0_10_10 = 0)
% 56.43/16.97  						| (47) s(all_0_11_11) = all_0_10_10
% 56.43/16.97  						| (221)  ! [v0] :  ~ (r(v0) = 0)
% 56.43/16.97  						|
% 56.43/16.97  						+-Applying beta-rule and splitting (9007), into two cases.
% 56.43/16.97  						|-Branch one:
% 56.43/16.97  						| (9027) all_0_4_4 = 0 & q(all_0_5_5) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 56.43/16.97  						|
% 56.43/16.97  							| Applying alpha-rule on (9027) yields:
% 56.43/16.97  							| (37) all_0_4_4 = 0
% 56.43/16.98  							| (9029) q(all_0_5_5) = 0
% 56.43/16.98  							| (41)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (r(v0) = v1))
% 56.43/16.98  							|
% 56.43/16.98  							| Instantiating formula (717) with 0, all_0_5_5 and discharging atoms q(all_0_5_5) = 0, yields:
% 56.43/16.98  							| (733)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & q(v0) = v1)
% 56.43/16.98  							|
% 56.43/16.98  							| Instantiating (733) with all_45_0_6996, all_45_1_6997 yields:
% 56.43/16.98  							| (11965)  ~ (all_45_0_6996 = 0) & q(all_45_1_6997) = all_45_0_6996
% 56.43/16.98  							|
% 56.43/16.98  							| Applying alpha-rule on (11965) yields:
% 56.43/16.98  							| (11966)  ~ (all_45_0_6996 = 0)
% 56.43/16.98  							| (11967) q(all_45_1_6997) = all_45_0_6996
% 56.43/16.98  							|
% 56.43/16.98  							| Instantiating formula (717) with all_45_0_6996, all_45_1_6997 and discharging atoms q(all_45_1_6997) = all_45_0_6996, yields:
% 56.43/16.98  							| (11968)  ? [v0] :  ? [v1] : (( ~ (all_45_0_6996 = 0) | ( ~ (v1 = 0) & q(v0) = v1)) & (all_45_0_6996 = 0 | (v1 = 0 & q(v0) = 0)))
% 56.43/16.98  							|
% 56.43/16.98  							| Instantiating (11968) with all_52_0_6998, all_52_1_6999 yields:
% 56.43/16.98  							| (11969) ( ~ (all_45_0_6996 = 0) | ( ~ (all_52_0_6998 = 0) & q(all_52_1_6999) = all_52_0_6998)) & (all_45_0_6996 = 0 | (all_52_0_6998 = 0 & q(all_52_1_6999) = 0))
% 56.43/16.98  							|
% 56.43/16.98  							| Applying alpha-rule on (11969) yields:
% 56.43/16.98  							| (11970)  ~ (all_45_0_6996 = 0) | ( ~ (all_52_0_6998 = 0) & q(all_52_1_6999) = all_52_0_6998)
% 56.43/16.98  							| (11971) all_45_0_6996 = 0 | (all_52_0_6998 = 0 & q(all_52_1_6999) = 0)
% 56.43/16.98  							|
% 56.43/16.98  							+-Applying beta-rule and splitting (1838), into two cases.
% 56.43/16.98  							|-Branch one:
% 56.43/16.98  							| (1857) ((all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))))
% 56.43/16.98  							|
% 56.43/16.98  								| Applying alpha-rule on (1857) yields:
% 56.43/16.98  								| (469) (all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0))
% 56.43/16.98  								| (1511) (s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))))
% 56.43/16.98  								|
% 56.43/16.98  								+-Applying beta-rule and splitting (1511), into two cases.
% 56.43/16.98  								|-Branch one:
% 56.43/16.98  								| (1512) s(all_0_17_17) = all_0_16_16 &  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0)) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 56.43/16.98  								|
% 56.43/16.98  									| Applying alpha-rule on (1512) yields:
% 56.43/16.98  									| (1513) s(all_0_17_17) = all_0_16_16
% 56.43/16.98  									| (1514)  ! [v0] :  ! [v1] : ( ~ (all_0_16_16 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 56.43/16.98  									| (1515)  ! [v0] : (all_0_16_16 = 0 |  ~ (s(v0) = 0))
% 56.43/16.98  									| (1516) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 56.43/16.98  									|
% 56.43/16.98  									| Instantiating formula (1514) with all_0_10_10, all_0_11_11 and discharging atoms s(all_0_11_11) = all_0_10_10, yields:
% 56.43/16.98  									| (657)  ~ (all_0_16_16 = 0) | all_0_10_10 = 0
% 56.43/16.98  									|
% 56.43/16.98  									+-Applying beta-rule and splitting (11971), into two cases.
% 56.43/16.98  									|-Branch one:
% 56.43/16.98  									| (11981) all_45_0_6996 = 0
% 56.43/16.98  									|
% 56.43/16.98  										| Equations (11981) can reduce 11966 to:
% 56.43/16.98  										| (59) $false
% 56.43/16.98  										|
% 56.43/16.98  										|-The branch is then unsatisfiable
% 56.43/16.98  									|-Branch two:
% 56.43/16.98  									| (11966)  ~ (all_45_0_6996 = 0)
% 56.43/16.98  									| (11984) all_52_0_6998 = 0 & q(all_52_1_6999) = 0
% 56.43/16.98  									|
% 56.43/16.98  										+-Applying beta-rule and splitting (657), into two cases.
% 56.43/16.98  										|-Branch one:
% 56.43/16.98  										| (71)  ~ (all_0_16_16 = 0)
% 56.43/16.98  										|
% 56.43/16.98  											+-Applying beta-rule and splitting (469), into two cases.
% 56.43/16.98  											|-Branch one:
% 56.43/16.98  											| (471) all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14
% 56.43/16.98  											|
% 56.43/16.98  												| Applying alpha-rule on (471) yields:
% 56.43/16.98  												| (66) all_0_12_12 = 0
% 56.43/16.98  												| (67)  ~ (all_0_14_14 = 0)
% 56.43/16.98  												| (310) s(all_0_13_13) = 0
% 56.43/16.98  												| (475) p(all_0_15_15) = all_0_14_14
% 56.43/16.98  												|
% 56.43/16.98  												| Instantiating formula (1515) with all_0_13_13 and discharging atoms s(all_0_13_13) = 0, yields:
% 56.43/16.98  												| (42) all_0_16_16 = 0
% 56.43/16.98  												|
% 56.43/16.98  												| Equations (42) can reduce 71 to:
% 56.43/16.98  												| (59) $false
% 56.43/16.98  												|
% 56.43/16.98  												|-The branch is then unsatisfiable
% 56.43/16.98  											|-Branch two:
% 56.43/16.98  											| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 56.43/16.98  											|
% 56.43/16.98  												| Applying alpha-rule on (60) yields:
% 56.43/16.98  												| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 56.43/16.98  												| (62)  ! [v0] :  ~ (s(v0) = 0)
% 56.43/16.98  												|
% 56.43/16.98  												+-Applying beta-rule and splitting (1516), into two cases.
% 56.43/16.98  												|-Branch one:
% 56.43/16.98  												| (1525) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0
% 56.43/16.98  												|
% 56.43/16.98  													| Applying alpha-rule on (1525) yields:
% 56.43/16.98  													| (33) all_0_18_18 = 0
% 56.43/16.98  													| (34)  ~ (all_0_20_20 = 0)
% 56.43/16.98  													| (1528) q(all_0_21_21) = all_0_20_20
% 56.43/16.98  													| (1529) p(all_0_19_19) = 0
% 56.43/16.98  													|
% 56.43/16.98  													| Instantiating formula (5867) with 0, all_0_19_19 and discharging atoms p(all_0_19_19) = 0, yields:
% 56.43/16.98  													| (5930)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & p(v0) = v1)
% 56.43/16.98  													|
% 56.43/16.98  													| Instantiating (5930) with all_93_0_7004, all_93_1_7005 yields:
% 56.43/16.98  													| (12002)  ~ (all_93_0_7004 = 0) & p(all_93_1_7005) = all_93_0_7004
% 56.43/16.98  													|
% 56.43/16.98  													| Applying alpha-rule on (12002) yields:
% 56.43/16.98  													| (12003)  ~ (all_93_0_7004 = 0)
% 56.43/16.99  													| (12004) p(all_93_1_7005) = all_93_0_7004
% 56.43/16.99  													|
% 56.43/16.99  													| Instantiating formula (61) with all_93_0_7004, all_93_1_7005 and discharging atoms p(all_93_1_7005) = all_93_0_7004, yields:
% 56.43/16.99  													| (12005) all_93_0_7004 = 0
% 56.43/16.99  													|
% 56.43/16.99  													| Equations (12005) can reduce 12003 to:
% 56.43/16.99  													| (59) $false
% 56.43/16.99  													|
% 56.43/16.99  													|-The branch is then unsatisfiable
% 56.43/16.99  												|-Branch two:
% 56.43/16.99  												| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 56.43/16.99  												|
% 56.43/16.99  													| Applying alpha-rule on (76) yields:
% 56.43/16.99  													| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 56.43/16.99  													| (78)  ! [v0] :  ~ (p(v0) = 0)
% 56.43/16.99  													|
% 56.43/16.99  													| Instantiating formula (77) with all_45_0_6996, all_45_1_6997 and discharging atoms q(all_45_1_6997) = all_45_0_6996, yields:
% 56.43/16.99  													| (11981) all_45_0_6996 = 0
% 56.43/16.99  													|
% 56.43/16.99  													| Equations (11981) can reduce 11966 to:
% 56.43/16.99  													| (59) $false
% 56.43/16.99  													|
% 56.43/16.99  													|-The branch is then unsatisfiable
% 56.43/16.99  										|-Branch two:
% 56.43/16.99  										| (42) all_0_16_16 = 0
% 56.43/16.99  										| (58) all_0_10_10 = 0
% 56.43/16.99  										|
% 56.43/16.99  											| Equations (58) can reduce 52 to:
% 56.43/16.99  											| (59) $false
% 56.43/16.99  											|
% 56.43/16.99  											|-The branch is then unsatisfiable
% 56.43/16.99  								|-Branch two:
% 56.43/16.99  								| (1545)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))
% 56.43/16.99  								|
% 56.43/16.99  									| Applying alpha-rule on (1545) yields:
% 56.43/16.99  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 56.43/16.99  									| (1547) (all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))
% 56.43/16.99  									|
% 56.43/16.99  									| Instantiating formula (84) with all_0_10_10, all_0_11_11 and discharging atoms s(all_0_11_11) = all_0_10_10, yields:
% 56.43/16.99  									| (1726)  ? [v0] :  ? [v1] : (( ~ (all_0_10_10 = 0) | ( ~ (v1 = 0) & s(v0) = v1)) & (all_0_10_10 = 0 | (v1 = 0 & s(v0) = 0)))
% 56.43/16.99  									|
% 56.43/16.99  									| Instantiating (1726) with all_56_0_7010, all_56_1_7011 yields:
% 56.43/16.99  									| (12019) ( ~ (all_0_10_10 = 0) | ( ~ (all_56_0_7010 = 0) & s(all_56_1_7011) = all_56_0_7010)) & (all_0_10_10 = 0 | (all_56_0_7010 = 0 & s(all_56_1_7011) = 0))
% 56.43/16.99  									|
% 56.43/16.99  									| Applying alpha-rule on (12019) yields:
% 56.43/16.99  									| (12020)  ~ (all_0_10_10 = 0) | ( ~ (all_56_0_7010 = 0) & s(all_56_1_7011) = all_56_0_7010)
% 56.43/16.99  									| (12021) all_0_10_10 = 0 | (all_56_0_7010 = 0 & s(all_56_1_7011) = 0)
% 56.43/16.99  									|
% 56.43/16.99  									+-Applying beta-rule and splitting (12021), into two cases.
% 56.43/16.99  									|-Branch one:
% 56.43/16.99  									| (58) all_0_10_10 = 0
% 56.43/16.99  									|
% 56.43/16.99  										| Equations (58) can reduce 52 to:
% 56.43/16.99  										| (59) $false
% 56.43/16.99  										|
% 56.43/16.99  										|-The branch is then unsatisfiable
% 56.43/16.99  									|-Branch two:
% 56.43/16.99  									| (52)  ~ (all_0_10_10 = 0)
% 56.43/16.99  									| (12025) all_56_0_7010 = 0 & s(all_56_1_7011) = 0
% 56.43/16.99  									|
% 56.43/16.99  										| Applying alpha-rule on (12025) yields:
% 56.43/16.99  										| (12026) all_56_0_7010 = 0
% 56.43/16.99  										| (12027) s(all_56_1_7011) = 0
% 56.43/16.99  										|
% 56.43/16.99  										+-Applying beta-rule and splitting (11971), into two cases.
% 56.43/16.99  										|-Branch one:
% 56.43/16.99  										| (11981) all_45_0_6996 = 0
% 56.43/16.99  										|
% 56.43/16.99  											| Equations (11981) can reduce 11966 to:
% 56.43/16.99  											| (59) $false
% 56.43/16.99  											|
% 56.43/16.99  											|-The branch is then unsatisfiable
% 56.43/16.99  										|-Branch two:
% 56.43/16.99  										| (11966)  ~ (all_45_0_6996 = 0)
% 56.43/16.99  										| (11984) all_52_0_6998 = 0 & q(all_52_1_6999) = 0
% 56.43/16.99  										|
% 56.43/16.99  											+-Applying beta-rule and splitting (469), into two cases.
% 56.43/16.99  											|-Branch one:
% 56.43/16.99  											| (471) all_0_12_12 = 0 &  ~ (all_0_14_14 = 0) & s(all_0_13_13) = 0 & p(all_0_15_15) = all_0_14_14
% 56.43/16.99  											|
% 56.43/16.99  												| Applying alpha-rule on (471) yields:
% 56.43/16.99  												| (66) all_0_12_12 = 0
% 56.43/16.99  												| (67)  ~ (all_0_14_14 = 0)
% 56.43/16.99  												| (310) s(all_0_13_13) = 0
% 56.43/16.99  												| (475) p(all_0_15_15) = all_0_14_14
% 56.43/16.99  												|
% 56.43/16.99  												| Instantiating formula (5867) with all_0_14_14, all_0_15_15 and discharging atoms p(all_0_15_15) = all_0_14_14, yields:
% 56.43/16.99  												| (6381)  ? [v0] :  ? [v1] : (( ~ (all_0_14_14 = 0) | ( ~ (v1 = 0) & p(v0) = v1)) & (all_0_14_14 = 0 | (v1 = 0 & p(v0) = 0)))
% 56.43/16.99  												|
% 56.43/16.99  												| Instantiating (6381) with all_95_0_7020, all_95_1_7021 yields:
% 56.43/16.99  												| (12038) ( ~ (all_0_14_14 = 0) | ( ~ (all_95_0_7020 = 0) & p(all_95_1_7021) = all_95_0_7020)) & (all_0_14_14 = 0 | (all_95_0_7020 = 0 & p(all_95_1_7021) = 0))
% 56.43/16.99  												|
% 56.43/16.99  												| Applying alpha-rule on (12038) yields:
% 56.43/17.00  												| (12039)  ~ (all_0_14_14 = 0) | ( ~ (all_95_0_7020 = 0) & p(all_95_1_7021) = all_95_0_7020)
% 56.43/17.00  												| (12040) all_0_14_14 = 0 | (all_95_0_7020 = 0 & p(all_95_1_7021) = 0)
% 56.43/17.00  												|
% 56.43/17.00  												+-Applying beta-rule and splitting (12040), into two cases.
% 56.43/17.00  												|-Branch one:
% 56.43/17.00  												| (74) all_0_14_14 = 0
% 56.43/17.00  												|
% 56.43/17.00  													| Equations (74) can reduce 67 to:
% 56.43/17.00  													| (59) $false
% 56.43/17.00  													|
% 56.43/17.00  													|-The branch is then unsatisfiable
% 56.43/17.00  												|-Branch two:
% 56.43/17.00  												| (67)  ~ (all_0_14_14 = 0)
% 56.43/17.00  												| (12044) all_95_0_7020 = 0 & p(all_95_1_7021) = 0
% 56.43/17.00  												|
% 56.43/17.00  													| Applying alpha-rule on (12044) yields:
% 56.43/17.00  													| (12045) all_95_0_7020 = 0
% 56.43/17.00  													| (12046) p(all_95_1_7021) = 0
% 56.43/17.00  													|
% 56.43/17.00  													+-Applying beta-rule and splitting (1547), into two cases.
% 56.43/17.00  													|-Branch one:
% 56.43/17.00  													| (1563) all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 56.43/17.00  													|
% 56.43/17.00  														| Applying alpha-rule on (1563) yields:
% 56.43/17.00  														| (81) all_0_20_20 = 0
% 56.43/17.00  														| (1565) p(all_0_21_21) = 0
% 56.43/17.00  														| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 56.43/17.00  														|
% 56.43/17.00  														| Instantiating formula (77) with all_45_0_6996, all_45_1_6997 and discharging atoms q(all_45_1_6997) = all_45_0_6996, yields:
% 56.43/17.00  														| (11981) all_45_0_6996 = 0
% 56.43/17.00  														|
% 56.43/17.00  														| Equations (11981) can reduce 11966 to:
% 56.43/17.00  														| (59) $false
% 56.43/17.00  														|
% 56.43/17.00  														|-The branch is then unsatisfiable
% 56.43/17.00  													|-Branch two:
% 56.43/17.00  													| (1573)  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)
% 56.43/17.00  													|
% 56.43/17.00  														| Applying alpha-rule on (1573) yields:
% 56.43/17.00  														| (34)  ~ (all_0_20_20 = 0)
% 56.43/17.00  														| (1528) q(all_0_21_21) = all_0_20_20
% 56.43/17.00  														| (78)  ! [v0] :  ~ (p(v0) = 0)
% 56.43/17.00  														|
% 56.43/17.00  														| Instantiating formula (78) with all_95_1_7021 and discharging atoms p(all_95_1_7021) = 0, yields:
% 56.43/17.00  														| (79) $false
% 56.43/17.00  														|
% 56.43/17.00  														|-The branch is then unsatisfiable
% 56.43/17.00  											|-Branch two:
% 56.43/17.00  											| (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1)) &  ! [v0] :  ~ (s(v0) = 0)
% 56.43/17.00  											|
% 56.43/17.00  												| Applying alpha-rule on (60) yields:
% 56.43/17.00  												| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 56.43/17.00  												| (62)  ! [v0] :  ~ (s(v0) = 0)
% 56.43/17.00  												|
% 56.43/17.00  												| Instantiating formula (62) with all_56_1_7011 and discharging atoms s(all_56_1_7011) = 0, yields:
% 56.43/17.00  												| (79) $false
% 56.43/17.00  												|
% 56.43/17.00  												|-The branch is then unsatisfiable
% 56.43/17.00  							|-Branch two:
% 56.43/17.00  							| (1925) ((all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))) & ((s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))))
% 56.43/17.00  							|
% 56.43/17.00  								| Applying alpha-rule on (1925) yields:
% 56.43/17.00  								| (1926) (all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))) | ( ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0))
% 56.43/17.00  								| (1927) (s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))) | ( ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))))
% 56.43/17.00  								|
% 56.43/17.00  								+-Applying beta-rule and splitting (1927), into two cases.
% 56.43/17.00  								|-Branch one:
% 56.43/17.00  								| (1934) s(all_0_19_19) = all_0_18_18 &  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1)) &  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0)) & ((all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)))
% 56.43/17.00  								|
% 56.43/17.00  									| Applying alpha-rule on (1934) yields:
% 56.43/17.00  									| (1935) s(all_0_19_19) = all_0_18_18
% 56.43/17.00  									| (1936)  ! [v0] :  ! [v1] : ( ~ (all_0_18_18 = 0) | v1 = 0 |  ~ (s(v0) = v1))
% 56.43/17.00  									| (1937)  ! [v0] : (all_0_18_18 = 0 |  ~ (s(v0) = 0))
% 56.43/17.00  									| (1547) (all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))) | ( ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0))
% 56.43/17.00  									|
% 56.43/17.00  									| Instantiating formula (1936) with all_0_10_10, all_0_11_11 and discharging atoms s(all_0_11_11) = all_0_10_10, yields:
% 56.43/17.00  									| (2093)  ~ (all_0_18_18 = 0) | all_0_10_10 = 0
% 56.43/17.00  									|
% 56.43/17.00  									+-Applying beta-rule and splitting (11971), into two cases.
% 56.43/17.00  									|-Branch one:
% 56.43/17.00  									| (11981) all_45_0_6996 = 0
% 56.43/17.00  									|
% 56.43/17.00  										| Equations (11981) can reduce 11966 to:
% 56.43/17.00  										| (59) $false
% 56.43/17.00  										|
% 56.43/17.00  										|-The branch is then unsatisfiable
% 56.43/17.00  									|-Branch two:
% 56.43/17.00  									| (11966)  ~ (all_45_0_6996 = 0)
% 56.43/17.00  									| (11984) all_52_0_6998 = 0 & q(all_52_1_6999) = 0
% 56.43/17.00  									|
% 56.43/17.00  										+-Applying beta-rule and splitting (2093), into two cases.
% 56.43/17.00  										|-Branch one:
% 56.43/17.00  										| (2094)  ~ (all_0_18_18 = 0)
% 56.43/17.00  										|
% 56.43/17.00  											+-Applying beta-rule and splitting (1926), into two cases.
% 56.43/17.00  											|-Branch one:
% 56.43/17.00  											| (1928) all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 56.43/17.00  											|
% 56.43/17.00  												| Applying alpha-rule on (1928) yields:
% 56.43/17.00  												| (42) all_0_16_16 = 0
% 56.43/17.00  												| (1518) s(all_0_17_17) = 0
% 56.43/17.00  												| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 56.43/17.00  												|
% 56.43/17.00  												| Instantiating formula (1937) with all_0_17_17 and discharging atoms s(all_0_17_17) = 0, yields:
% 56.43/17.00  												| (33) all_0_18_18 = 0
% 56.43/17.00  												|
% 56.43/17.00  												| Equations (33) can reduce 2094 to:
% 56.43/17.00  												| (59) $false
% 56.43/17.00  												|
% 56.43/17.00  												|-The branch is then unsatisfiable
% 56.43/17.00  											|-Branch two:
% 56.43/17.00  											| (1960)  ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0)
% 56.43/17.00  											|
% 56.43/17.00  												| Applying alpha-rule on (1960) yields:
% 56.43/17.00  												| (71)  ~ (all_0_16_16 = 0)
% 56.43/17.00  												| (1962) p(all_0_17_17) = all_0_16_16
% 56.43/17.00  												| (62)  ! [v0] :  ~ (s(v0) = 0)
% 56.43/17.00  												|
% 56.43/17.00  												| Instantiating formula (5867) with all_0_16_16, all_0_17_17 and discharging atoms p(all_0_17_17) = all_0_16_16, yields:
% 56.43/17.01  												| (7971)  ? [v0] :  ? [v1] : (( ~ (all_0_16_16 = 0) | ( ~ (v1 = 0) & p(v0) = v1)) & (all_0_16_16 = 0 | (v1 = 0 & p(v0) = 0)))
% 56.43/17.01  												|
% 56.43/17.01  												| Instantiating (7971) with all_90_0_7054, all_90_1_7055 yields:
% 56.43/17.01  												| (12087) ( ~ (all_0_16_16 = 0) | ( ~ (all_90_0_7054 = 0) & p(all_90_1_7055) = all_90_0_7054)) & (all_0_16_16 = 0 | (all_90_0_7054 = 0 & p(all_90_1_7055) = 0))
% 56.43/17.01  												|
% 56.43/17.01  												| Applying alpha-rule on (12087) yields:
% 56.43/17.01  												| (12088)  ~ (all_0_16_16 = 0) | ( ~ (all_90_0_7054 = 0) & p(all_90_1_7055) = all_90_0_7054)
% 56.43/17.01  												| (12089) all_0_16_16 = 0 | (all_90_0_7054 = 0 & p(all_90_1_7055) = 0)
% 56.43/17.01  												|
% 56.43/17.01  												+-Applying beta-rule and splitting (12089), into two cases.
% 56.43/17.01  												|-Branch one:
% 56.43/17.01  												| (42) all_0_16_16 = 0
% 56.43/17.01  												|
% 56.43/17.01  													| Equations (42) can reduce 71 to:
% 56.43/17.01  													| (59) $false
% 56.43/17.01  													|
% 56.43/17.01  													|-The branch is then unsatisfiable
% 56.43/17.01  												|-Branch two:
% 56.43/17.01  												| (71)  ~ (all_0_16_16 = 0)
% 56.43/17.01  												| (12093) all_90_0_7054 = 0 & p(all_90_1_7055) = 0
% 56.43/17.01  												|
% 56.43/17.01  													| Applying alpha-rule on (12093) yields:
% 56.43/17.01  													| (12094) all_90_0_7054 = 0
% 56.43/17.01  													| (12095) p(all_90_1_7055) = 0
% 56.43/17.01  													|
% 56.43/17.01  													+-Applying beta-rule and splitting (1547), into two cases.
% 56.43/17.01  													|-Branch one:
% 56.43/17.01  													| (1563) all_0_20_20 = 0 & p(all_0_21_21) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 56.43/17.01  													|
% 56.43/17.01  														| Applying alpha-rule on (1563) yields:
% 56.43/17.01  														| (81) all_0_20_20 = 0
% 56.43/17.01  														| (1565) p(all_0_21_21) = 0
% 56.43/17.01  														| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 56.43/17.01  														|
% 56.43/17.01  														| Instantiating formula (77) with all_45_0_6996, all_45_1_6997 and discharging atoms q(all_45_1_6997) = all_45_0_6996, yields:
% 56.43/17.01  														| (11981) all_45_0_6996 = 0
% 56.43/17.01  														|
% 56.43/17.01  														| Equations (11981) can reduce 11966 to:
% 56.43/17.01  														| (59) $false
% 56.43/17.01  														|
% 56.43/17.01  														|-The branch is then unsatisfiable
% 56.43/17.01  													|-Branch two:
% 56.43/17.01  													| (1573)  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 &  ! [v0] :  ~ (p(v0) = 0)
% 56.43/17.01  													|
% 56.43/17.01  														| Applying alpha-rule on (1573) yields:
% 56.43/17.01  														| (34)  ~ (all_0_20_20 = 0)
% 56.43/17.01  														| (1528) q(all_0_21_21) = all_0_20_20
% 56.43/17.01  														| (78)  ! [v0] :  ~ (p(v0) = 0)
% 56.43/17.01  														|
% 56.43/17.01  														| Instantiating formula (78) with all_90_1_7055 and discharging atoms p(all_90_1_7055) = 0, yields:
% 56.43/17.01  														| (79) $false
% 56.43/17.01  														|
% 56.43/17.01  														|-The branch is then unsatisfiable
% 56.43/17.01  										|-Branch two:
% 56.43/17.01  										| (33) all_0_18_18 = 0
% 56.43/17.01  										| (58) all_0_10_10 = 0
% 56.43/17.01  										|
% 56.43/17.01  											| Equations (58) can reduce 52 to:
% 56.43/17.01  											| (59) $false
% 56.43/17.01  											|
% 56.43/17.01  											|-The branch is then unsatisfiable
% 56.43/17.01  								|-Branch two:
% 56.43/17.01  								| (1951)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0)))) & ((all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)))
% 56.43/17.01  								|
% 56.43/17.01  									| Applying alpha-rule on (1951) yields:
% 56.43/17.01  									| (84)  ! [v0] :  ! [v1] : ( ~ (s(v0) = v1) |  ? [v2] :  ? [v3] : (( ~ (v1 = 0) | ( ~ (v3 = 0) & s(v2) = v3)) & (v1 = 0 | (v3 = 0 & s(v2) = 0))))
% 56.43/17.01  									| (1516) (all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0) | ( ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0))
% 56.43/17.01  									|
% 56.43/17.01  									| Instantiating formula (84) with all_0_10_10, all_0_11_11 and discharging atoms s(all_0_11_11) = all_0_10_10, yields:
% 56.43/17.01  									| (1726)  ? [v0] :  ? [v1] : (( ~ (all_0_10_10 = 0) | ( ~ (v1 = 0) & s(v0) = v1)) & (all_0_10_10 = 0 | (v1 = 0 & s(v0) = 0)))
% 56.43/17.01  									|
% 56.43/17.01  									| Instantiating (1726) with all_56_0_7082, all_56_1_7083 yields:
% 56.43/17.01  									| (12114) ( ~ (all_0_10_10 = 0) | ( ~ (all_56_0_7082 = 0) & s(all_56_1_7083) = all_56_0_7082)) & (all_0_10_10 = 0 | (all_56_0_7082 = 0 & s(all_56_1_7083) = 0))
% 56.43/17.01  									|
% 56.43/17.01  									| Applying alpha-rule on (12114) yields:
% 56.43/17.01  									| (12115)  ~ (all_0_10_10 = 0) | ( ~ (all_56_0_7082 = 0) & s(all_56_1_7083) = all_56_0_7082)
% 56.43/17.01  									| (12116) all_0_10_10 = 0 | (all_56_0_7082 = 0 & s(all_56_1_7083) = 0)
% 56.43/17.01  									|
% 56.43/17.01  									+-Applying beta-rule and splitting (12116), into two cases.
% 56.43/17.01  									|-Branch one:
% 56.43/17.01  									| (58) all_0_10_10 = 0
% 56.43/17.01  									|
% 56.43/17.01  										| Equations (58) can reduce 52 to:
% 56.43/17.01  										| (59) $false
% 56.43/17.01  										|
% 56.43/17.01  										|-The branch is then unsatisfiable
% 56.43/17.01  									|-Branch two:
% 56.43/17.01  									| (52)  ~ (all_0_10_10 = 0)
% 56.43/17.01  									| (12120) all_56_0_7082 = 0 & s(all_56_1_7083) = 0
% 56.43/17.01  									|
% 56.43/17.01  										| Applying alpha-rule on (12120) yields:
% 56.43/17.01  										| (12121) all_56_0_7082 = 0
% 56.43/17.02  										| (12122) s(all_56_1_7083) = 0
% 56.43/17.02  										|
% 56.43/17.02  										+-Applying beta-rule and splitting (11971), into two cases.
% 56.43/17.02  										|-Branch one:
% 56.43/17.02  										| (11981) all_45_0_6996 = 0
% 56.43/17.02  										|
% 56.43/17.02  											| Equations (11981) can reduce 11966 to:
% 56.43/17.02  											| (59) $false
% 56.43/17.02  											|
% 56.43/17.02  											|-The branch is then unsatisfiable
% 56.43/17.02  										|-Branch two:
% 56.43/17.02  										| (11966)  ~ (all_45_0_6996 = 0)
% 56.43/17.02  										| (11984) all_52_0_6998 = 0 & q(all_52_1_6999) = 0
% 56.43/17.02  										|
% 56.43/17.02  											+-Applying beta-rule and splitting (1926), into two cases.
% 56.43/17.02  											|-Branch one:
% 56.43/17.02  											| (1928) all_0_16_16 = 0 & s(all_0_17_17) = 0 &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 56.43/17.02  											|
% 56.43/17.02  												| Applying alpha-rule on (1928) yields:
% 56.43/17.02  												| (42) all_0_16_16 = 0
% 56.43/17.02  												| (1518) s(all_0_17_17) = 0
% 56.43/17.02  												| (61)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (p(v0) = v1))
% 56.43/17.02  												|
% 56.43/17.02  												+-Applying beta-rule and splitting (1516), into two cases.
% 56.43/17.02  												|-Branch one:
% 56.43/17.02  												| (1525) all_0_18_18 = 0 &  ~ (all_0_20_20 = 0) & q(all_0_21_21) = all_0_20_20 & p(all_0_19_19) = 0
% 56.43/17.02  												|
% 56.43/17.02  													| Applying alpha-rule on (1525) yields:
% 56.43/17.02  													| (33) all_0_18_18 = 0
% 56.43/17.02  													| (34)  ~ (all_0_20_20 = 0)
% 56.43/17.02  													| (1528) q(all_0_21_21) = all_0_20_20
% 56.43/17.02  													| (1529) p(all_0_19_19) = 0
% 56.43/17.02  													|
% 56.43/17.02  													| Instantiating formula (5867) with 0, all_0_19_19 and discharging atoms p(all_0_19_19) = 0, yields:
% 56.43/17.02  													| (5930)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & p(v0) = v1)
% 56.43/17.02  													|
% 56.43/17.02  													| Instantiating (5930) with all_122_0_7100, all_122_1_7101 yields:
% 56.43/17.02  													| (12137)  ~ (all_122_0_7100 = 0) & p(all_122_1_7101) = all_122_0_7100
% 56.43/17.02  													|
% 56.43/17.02  													| Applying alpha-rule on (12137) yields:
% 56.43/17.02  													| (12138)  ~ (all_122_0_7100 = 0)
% 56.43/17.02  													| (12139) p(all_122_1_7101) = all_122_0_7100
% 56.43/17.02  													|
% 56.43/17.02  													| Instantiating formula (61) with all_122_0_7100, all_122_1_7101 and discharging atoms p(all_122_1_7101) = all_122_0_7100, yields:
% 56.43/17.02  													| (12140) all_122_0_7100 = 0
% 56.43/17.02  													|
% 56.43/17.02  													| Equations (12140) can reduce 12138 to:
% 56.43/17.02  													| (59) $false
% 56.43/17.02  													|
% 56.43/17.02  													|-The branch is then unsatisfiable
% 56.43/17.02  												|-Branch two:
% 56.43/17.02  												| (76)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1)) &  ! [v0] :  ~ (p(v0) = 0)
% 56.43/17.02  												|
% 56.43/17.02  													| Applying alpha-rule on (76) yields:
% 56.43/17.02  													| (77)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (q(v0) = v1))
% 56.43/17.02  													| (78)  ! [v0] :  ~ (p(v0) = 0)
% 56.43/17.02  													|
% 56.43/17.02  													| Instantiating formula (77) with all_45_0_6996, all_45_1_6997 and discharging atoms q(all_45_1_6997) = all_45_0_6996, yields:
% 56.43/17.02  													| (11981) all_45_0_6996 = 0
% 56.43/17.02  													|
% 56.43/17.02  													| Equations (11981) can reduce 11966 to:
% 56.43/17.02  													| (59) $false
% 56.43/17.02  													|
% 56.43/17.02  													|-The branch is then unsatisfiable
% 56.43/17.02  											|-Branch two:
% 56.43/17.02  											| (1960)  ~ (all_0_16_16 = 0) & p(all_0_17_17) = all_0_16_16 &  ! [v0] :  ~ (s(v0) = 0)
% 56.43/17.02  											|
% 56.43/17.02  												| Applying alpha-rule on (1960) yields:
% 56.43/17.02  												| (71)  ~ (all_0_16_16 = 0)
% 56.43/17.02  												| (1962) p(all_0_17_17) = all_0_16_16
% 56.43/17.02  												| (62)  ! [v0] :  ~ (s(v0) = 0)
% 56.43/17.02  												|
% 56.43/17.02  												| Instantiating formula (62) with all_56_1_7083 and discharging atoms s(all_56_1_7083) = 0, yields:
% 56.43/17.02  												| (79) $false
% 56.43/17.02  												|
% 56.43/17.02  												|-The branch is then unsatisfiable
% 56.43/17.02  						|-Branch two:
% 56.43/17.02  						| (9194)  ~ (all_0_4_4 = 0) & r(all_0_5_5) = all_0_4_4 &  ! [v0] :  ~ (q(v0) = 0)
% 56.43/17.02  						|
% 56.43/17.02  							| Applying alpha-rule on (9194) yields:
% 56.43/17.02  							| (214)  ~ (all_0_4_4 = 0)
% 56.43/17.02  							| (28) r(all_0_5_5) = all_0_4_4
% 56.43/17.02  							| (212)  ! [v0] :  ~ (q(v0) = 0)
% 56.43/17.02  							|
% 56.43/17.02  							| Instantiating formula (370) with all_0_4_4, all_0_5_5 and discharging atoms r(all_0_5_5) = all_0_4_4, yields:
% 56.43/17.02  							| (9751)  ? [v0] :  ? [v1] : (( ~ (all_0_4_4 = 0) | ( ~ (v1 = 0) & r(v0) = v1)) & (all_0_4_4 = 0 | (v1 = 0 & r(v0) = 0)))
% 56.43/17.02  							|
% 56.43/17.02  							| Instantiating (9751) with all_45_0_7108, all_45_1_7109 yields:
% 56.43/17.02  							| (12157) ( ~ (all_0_4_4 = 0) | ( ~ (all_45_0_7108 = 0) & r(all_45_1_7109) = all_45_0_7108)) & (all_0_4_4 = 0 | (all_45_0_7108 = 0 & r(all_45_1_7109) = 0))
% 56.43/17.02  							|
% 56.43/17.02  							| Applying alpha-rule on (12157) yields:
% 56.43/17.03  							| (12158)  ~ (all_0_4_4 = 0) | ( ~ (all_45_0_7108 = 0) & r(all_45_1_7109) = all_45_0_7108)
% 56.43/17.03  							| (12159) all_0_4_4 = 0 | (all_45_0_7108 = 0 & r(all_45_1_7109) = 0)
% 56.43/17.03  							|
% 56.43/17.03  							+-Applying beta-rule and splitting (12159), into two cases.
% 56.43/17.03  							|-Branch one:
% 56.43/17.03  							| (37) all_0_4_4 = 0
% 56.43/17.03  							|
% 56.43/17.03  								| Equations (37) can reduce 214 to:
% 56.43/17.03  								| (59) $false
% 56.43/17.03  								|
% 56.43/17.03  								|-The branch is then unsatisfiable
% 56.43/17.03  							|-Branch two:
% 56.43/17.03  							| (214)  ~ (all_0_4_4 = 0)
% 56.52/17.03  							| (12163) all_45_0_7108 = 0 & r(all_45_1_7109) = 0
% 56.52/17.03  							|
% 56.52/17.03  								| Applying alpha-rule on (12163) yields:
% 56.52/17.03  								| (12164) all_45_0_7108 = 0
% 56.52/17.03  								| (12165) r(all_45_1_7109) = 0
% 56.52/17.03  								|
% 56.52/17.03  								| Instantiating formula (221) with all_45_1_7109 and discharging atoms r(all_45_1_7109) = 0, yields:
% 56.52/17.03  								| (79) $false
% 56.52/17.03  								|
% 56.52/17.03  								|-The branch is then unsatisfiable
% 56.52/17.03  % SZS output end Proof for theBenchmark
% 56.52/17.03  
% 56.52/17.03  16433ms
%------------------------------------------------------------------------------