TSTP Solution File: NUM843+1 by ePrincess---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ePrincess---1.0
% Problem  : NUM843+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : ePrincess-casc -timeout=%d %s

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Mon Jul 18 08:49:04 EDT 2022

% Result   : Theorem 19.91s 6.16s
% Output   : Proof 21.28s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM843+1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13  % Command  : ePrincess-casc -timeout=%d %s
% 0.12/0.34  % Computer : n019.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Thu Jul  7 10:17:53 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.47/0.58          ____       _                          
% 0.47/0.58    ___  / __ \_____(_)___  ________  __________
% 0.47/0.58   / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.47/0.58  /  __/ ____/ /  / / / / / /__/  __(__  |__  ) 
% 0.47/0.58  \___/_/   /_/  /_/_/ /_/\___/\___/____/____/  
% 0.47/0.58  
% 0.47/0.58  A Theorem Prover for First-Order Logic
% 0.47/0.58  (ePrincess v.1.0)
% 0.47/0.58  
% 0.47/0.58  (c) Philipp Rümmer, 2009-2015
% 0.47/0.58  (c) Peter Backeman, 2014-2015
% 0.47/0.58  (contributions by Angelo Brillout, Peter Baumgartner)
% 0.47/0.58  Free software under GNU Lesser General Public License (LGPL).
% 0.47/0.58  Bug reports to peter@backeman.se
% 0.47/0.58  
% 0.47/0.58  For more information, visit http://user.uu.se/~petba168/breu/
% 0.47/0.58  
% 0.47/0.58  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.73/0.63  Prover 0: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.78/0.94  Prover 0: Preprocessing ...
% 2.80/1.23  Prover 0: Warning: ignoring some quantifiers
% 2.80/1.26  Prover 0: Constructing countermodel ...
% 18.78/5.92  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 19.04/5.99  Prover 1: Preprocessing ...
% 19.42/6.10  Prover 1: Warning: ignoring some quantifiers
% 19.42/6.11  Prover 1: Constructing countermodel ...
% 19.91/6.16  Prover 1: proved (233ms)
% 19.91/6.16  Prover 0: stopped
% 19.91/6.16  
% 19.91/6.16  No countermodel exists, formula is valid
% 19.91/6.16  % SZS status Theorem for theBenchmark
% 19.91/6.16  
% 19.91/6.16  Generating proof ... Warning: ignoring some quantifiers
% 21.28/6.44  found it (size 35)
% 21.28/6.44  
% 21.28/6.44  % SZS output start Proof for theBenchmark
% 21.28/6.44  Assumed formulas after preprocessing and simplification: 
% 21.28/6.44  | (0)  ? [v0] :  ? [v1] :  ? [v2] : ( ~ (v2 = 0) &  ~ (v0 = 0) & leq(vd390, vd391) = v0 & less(vd390, v1) = 0 & vplus(vd391, v1) = v1 & greater(vd390, vd391) = v2 &  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] : (v9 = 0 |  ~ (vplus(v4, v6) = v8) |  ~ (vplus(v3, v5) = v7) |  ~ (geq(v7, v8) = v9) |  ? [v10] :  ? [v11] : (geq(v5, v6) = v10 & geq(v3, v4) = v11 & ( ~ (v11 = 0) |  ~ (v10 = 0)))) &  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] : (v9 = 0 |  ~ (vplus(v4, v6) = v8) |  ~ (vplus(v3, v5) = v7) |  ~ (greater(v7, v8) = v9) |  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] : (geq(v5, v6) = v12 & geq(v3, v4) = v11 & greater(v5, v6) = v10 & greater(v3, v4) = v13 & ( ~ (v13 = 0) |  ~ (v12 = 0)) & ( ~ (v11 = 0) |  ~ (v10 = 0)))) &  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] : (v9 = 0 |  ~ (vplus(v4, v6) = v8) |  ~ (vplus(v3, v5) = v7) |  ~ (greater(v7, v8) = v9) |  ? [v10] :  ? [v11] : (greater(v5, v6) = v10 & greater(v3, v4) = v11 & ( ~ (v11 = 0) |  ~ (v10 = 0)))) &  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] : (v8 = 0 |  ~ (less(v6, v7) = v8) |  ~ (vplus(v4, v5) = v7) |  ~ (vplus(v3, v5) = v6) |  ? [v9] : ( ~ (v9 = 0) & less(v3, v4) = v9)) &  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] : (v8 = 0 |  ~ (vplus(v4, v5) = v7) |  ~ (vplus(v3, v5) = v6) |  ~ (greater(v6, v7) = v8) |  ? [v9] : ( ~ (v9 = 0) & greater(v3, v4) = v9)) &  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (leq(v4, v5) = v7) |  ~ (leq(v3, v4) = v6) |  ? [v8] :  ? [v9] :  ? [v10] : (less(v4, v5) = v8 & less(v3, v5) = v10 & less(v3, v4) = v9 & (v10 = 0 | (( ~ (v9 = 0) |  ~ (v7 = 0)) & ( ~ (v8 = 0) |  ~ (v6 = 0)))))) &  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (less(v6, v7) = 0) |  ~ (vplus(v4, v5) = v7) |  ~ (vplus(v3, v5) = v6) | less(v3, v4) = 0) &  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (vplus(v6, v5) = v7) |  ~ (vplus(v3, v4) = v6) |  ? [v8] : (vplus(v4, v5) = v8 & vplus(v3, v8) = v7)) &  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (vplus(v4, v5) = v7) |  ~ (vplus(v3, v5) = v6) |  ~ (greater(v6, v7) = 0) | greater(v3, v4) = 0) &  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v6 = v5 |  ~ (vplus(v3, v4) = v6) |  ~ (vplus(v3, v4) = v5)) &  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v6 = 0 |  ~ (leq(v3, v5) = v6) |  ~ (leq(v3, v4) = 0) |  ? [v7] : ( ~ (v7 = 0) & leq(v4, v5) = v7)) &  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v6 = 0 |  ~ (less(v3, v5) = v6) |  ~ (less(v3, v4) = 0) |  ? [v7] : ( ~ (v7 = 0) & less(v4, v5) = v7)) &  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v6 = 0 |  ~ (vplus(v4, v1) = v5) |  ~ (geq(v3, v5) = v6) |  ? [v7] : ( ~ (v7 = 0) & greater(v3, v4) = v7)) &  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v6 = 0 |  ~ (vplus(v3, v4) = v5) |  ~ (greater(v5, v3) = v6)) &  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v5 = 0 |  ~ (less(v4, v3) = v5) |  ~ (vplus(v4, v6) = v3)) &  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v5 = 0 |  ~ (vplus(v3, v6) = v4) |  ~ (greater(v4, v3) = v5)) &  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v4 = v3 |  ~ (leq(v6, v5) = v4) |  ~ (leq(v6, v5) = v3)) &  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v4 = v3 |  ~ (less(v6, v5) = v4) |  ~ (less(v6, v5) = v3)) &  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v4 = v3 |  ~ (vplus(v6, v5) = v4) |  ~ (vplus(v6, v5) = v3)) &  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v4 = v3 |  ~ (vplus(v4, v5) = v6) |  ~ (vplus(v3, v5) = v6)) &  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v4 = v3 |  ~ (geq(v6, v5) = v4) |  ~ (geq(v6, v5) = v3)) &  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v4 = v3 |  ~ (greater(v6, v5) = v4) |  ~ (greater(v6, v5) = v3)) &  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (vsucc(v4) = v5) |  ~ (vplus(v3, v5) = v6) |  ? [v7] : (vsucc(v7) = v6 & vplus(v3, v4) = v7)) &  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (vsucc(v3) = v5) |  ~ (vplus(v5, v4) = v6) |  ? [v7] : (vsucc(v7) = v6 & vplus(v3, v4) = v7)) &  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (vplus(v4, v6) = v3) |  ~ (vplus(v3, v5) = v4)) &  ? [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v4 = v3 |  ~ (vplus(v5, v4) = v6) |  ? [v7] : ( ~ (v7 = v6) & vplus(v5, v3) = v7)) &  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 | v4 = v3 |  ~ (less(v3, v4) = v5) | greater(v3, v4) = 0) &  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (leq(v4, v3) = v5) |  ? [v6] : ( ~ (v6 = 0) & less(v4, v3) = v6)) &  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (leq(v4, v3) = v5) |  ? [v6] : ( ~ (v6 = 0) & geq(v3, v4) = v6)) &  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (less(v4, v3) = v5) |  ? [v6] : ( ~ (v6 = 0) & greater(v3, v4) = v6)) &  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (geq(v4, v3) = v5) |  ? [v6] : ( ~ (v6 = 0) & greater(v4, v3) = v6)) &  ! [v3] :  ! [v4] :  ! [v5] : (v4 = v3 |  ~ (vskolem2(v5) = v4) |  ~ (vskolem2(v5) = v3)) &  ! [v3] :  ! [v4] :  ! [v5] : (v4 = v3 |  ~ (vsucc(v5) = v4) |  ~ (vsucc(v5) = v3)) &  ! [v3] :  ! [v4] :  ! [v5] : (v4 = v3 |  ~ (vsucc(v4) = v5) |  ~ (vsucc(v3) = v5)) &  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (vplus(v3, v4) = v5) | vplus(v4, v3) = v5) &  ! [v3] :  ! [v4] : (v4 = v3 |  ~ (leq(v4, v3) = 0) | less(v4, v3) = 0) &  ! [v3] :  ! [v4] : (v4 = v3 |  ~ (geq(v4, v3) = 0) | greater(v4, v3) = 0) &  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (leq(v3, v3) = v4)) &  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (geq(v3, v3) = v4)) &  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (geq(v3, v1) = v4)) &  ! [v3] :  ! [v4] : (v3 = v1 |  ~ (vskolem2(v3) = v4) | vsucc(v4) = v3) &  ! [v3] :  ! [v4] : ( ~ (leq(v3, v4) = 0) | geq(v4, v3) = 0) &  ! [v3] :  ! [v4] : ( ~ (less(v4, v3) = 0) |  ? [v5] : vplus(v4, v5) = v3) &  ! [v3] :  ! [v4] : ( ~ (less(v3, v4) = 0) | greater(v4, v3) = 0) &  ! [v3] :  ! [v4] : ( ~ (less(v3, v4) = 0) |  ? [v5] : ( ~ (v5 = 0) & greater(v3, v4) = v5)) &  ! [v3] :  ! [v4] :  ~ (vplus(v3, v4) = v4) &  ! [v3] :  ! [v4] :  ~ (vplus(v3, v4) = v3) &  ! [v3] :  ! [v4] : ( ~ (vplus(v3, v1) = v4) | vsucc(v3) = v4) &  ! [v3] :  ! [v4] : ( ~ (vplus(v1, v3) = v4) | vsucc(v3) = v4) &  ! [v3] :  ! [v4] : ( ~ (greater(v4, v3) = 0) |  ? [v5] : vplus(v3, v5) = v4) &  ! [v3] :  ~ (vsucc(v3) = v3) &  ! [v3] :  ~ (vsucc(v3) = v1) &  ! [v3] :  ~ (less(v3, v3) = 0) &  ! [v3] :  ~ (greater(v3, v3) = 0) &  ? [v3] :  ? [v4] : (v4 = v3 |  ? [v5] :  ? [v6] : ((v6 = v4 & vplus(v3, v5) = v4) | (v6 = v3 & vplus(v4, v5) = v3))))
% 21.28/6.49  | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2 yields:
% 21.28/6.49  | (1)  ~ (all_0_0_0 = 0) &  ~ (all_0_2_2 = 0) & leq(vd390, vd391) = all_0_2_2 & less(vd390, all_0_1_1) = 0 & vplus(vd391, v1) = all_0_1_1 & greater(vd390, vd391) = all_0_0_0 &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v6 = 0 |  ~ (vplus(v1, v3) = v5) |  ~ (vplus(v0, v2) = v4) |  ~ (geq(v4, v5) = v6) |  ? [v7] :  ? [v8] : (geq(v2, v3) = v7 & geq(v0, v1) = v8 & ( ~ (v8 = 0) |  ~ (v7 = 0)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v6 = 0 |  ~ (vplus(v1, v3) = v5) |  ~ (vplus(v0, v2) = v4) |  ~ (greater(v4, v5) = v6) |  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] : (geq(v2, v3) = v9 & geq(v0, v1) = v8 & greater(v2, v3) = v7 & greater(v0, v1) = v10 & ( ~ (v10 = 0) |  ~ (v9 = 0)) & ( ~ (v8 = 0) |  ~ (v7 = 0)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v6 = 0 |  ~ (vplus(v1, v3) = v5) |  ~ (vplus(v0, v2) = v4) |  ~ (greater(v4, v5) = v6) |  ? [v7] :  ? [v8] : (greater(v2, v3) = v7 & greater(v0, v1) = v8 & ( ~ (v8 = 0) |  ~ (v7 = 0)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (less(v3, v4) = v5) |  ~ (vplus(v1, v2) = v4) |  ~ (vplus(v0, v2) = v3) |  ? [v6] : ( ~ (v6 = 0) & less(v0, v1) = v6)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (vplus(v1, v2) = v4) |  ~ (vplus(v0, v2) = v3) |  ~ (greater(v3, v4) = v5) |  ? [v6] : ( ~ (v6 = 0) & greater(v0, v1) = v6)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (leq(v1, v2) = v4) |  ~ (leq(v0, v1) = v3) |  ? [v5] :  ? [v6] :  ? [v7] : (less(v1, v2) = v5 & less(v0, v2) = v7 & less(v0, v1) = v6 & (v7 = 0 | (( ~ (v6 = 0) |  ~ (v4 = 0)) & ( ~ (v5 = 0) |  ~ (v3 = 0)))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (less(v3, v4) = 0) |  ~ (vplus(v1, v2) = v4) |  ~ (vplus(v0, v2) = v3) | less(v0, v1) = 0) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (vplus(v3, v2) = v4) |  ~ (vplus(v0, v1) = v3) |  ? [v5] : (vplus(v1, v2) = v5 & vplus(v0, v5) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (vplus(v1, v2) = v4) |  ~ (vplus(v0, v2) = v3) |  ~ (greater(v3, v4) = 0) | greater(v0, v1) = 0) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v2 |  ~ (vplus(v0, v1) = v3) |  ~ (vplus(v0, v1) = v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (leq(v0, v2) = v3) |  ~ (leq(v0, v1) = 0) |  ? [v4] : ( ~ (v4 = 0) & leq(v1, v2) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (less(v0, v2) = v3) |  ~ (less(v0, v1) = 0) |  ? [v4] : ( ~ (v4 = 0) & less(v1, v2) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (vplus(v1, v1) = v2) |  ~ (geq(v0, v2) = v3) |  ? [v4] : ( ~ (v4 = 0) & greater(v0, v1) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (vplus(v0, v1) = v2) |  ~ (greater(v2, v0) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v2 = 0 |  ~ (less(v1, v0) = v2) |  ~ (vplus(v1, v3) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v2 = 0 |  ~ (vplus(v0, v3) = v1) |  ~ (greater(v1, v0) = v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (leq(v3, v2) = v1) |  ~ (leq(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (less(v3, v2) = v1) |  ~ (less(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (vplus(v3, v2) = v1) |  ~ (vplus(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (vplus(v1, v2) = v3) |  ~ (vplus(v0, v2) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (geq(v3, v2) = v1) |  ~ (geq(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (greater(v3, v2) = v1) |  ~ (greater(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (vsucc(v1) = v2) |  ~ (vplus(v0, v2) = v3) |  ? [v4] : (vsucc(v4) = v3 & vplus(v0, v1) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (vsucc(v0) = v2) |  ~ (vplus(v2, v1) = v3) |  ? [v4] : (vsucc(v4) = v3 & vplus(v0, v1) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (vplus(v1, v3) = v0) |  ~ (vplus(v0, v2) = v1)) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (vplus(v2, v1) = v3) |  ? [v4] : ( ~ (v4 = v3) & vplus(v2, v0) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 | v1 = v0 |  ~ (less(v0, v1) = v2) | greater(v0, v1) = 0) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (leq(v1, v0) = v2) |  ? [v3] : ( ~ (v3 = 0) & less(v1, v0) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (leq(v1, v0) = v2) |  ? [v3] : ( ~ (v3 = 0) & geq(v0, v1) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (less(v1, v0) = v2) |  ? [v3] : ( ~ (v3 = 0) & greater(v0, v1) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (geq(v1, v0) = v2) |  ? [v3] : ( ~ (v3 = 0) & greater(v1, v0) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (vskolem2(v2) = v1) |  ~ (vskolem2(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (vsucc(v2) = v1) |  ~ (vsucc(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (vsucc(v1) = v2) |  ~ (vsucc(v0) = v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (vplus(v0, v1) = v2) | vplus(v1, v0) = v2) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (leq(v1, v0) = 0) | less(v1, v0) = 0) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (geq(v1, v0) = 0) | greater(v1, v0) = 0) &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (leq(v0, v0) = v1)) &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (geq(v0, v0) = v1)) &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (geq(v0, v1) = v1)) &  ! [v0] :  ! [v1] : (v0 = v1 |  ~ (vskolem2(v0) = v1) | vsucc(v1) = v0) &  ! [v0] :  ! [v1] : ( ~ (leq(v0, v1) = 0) | geq(v1, v0) = 0) &  ! [v0] :  ! [v1] : ( ~ (less(v1, v0) = 0) |  ? [v2] : vplus(v1, v2) = v0) &  ! [v0] :  ! [v1] : ( ~ (less(v0, v1) = 0) | greater(v1, v0) = 0) &  ! [v0] :  ! [v1] : ( ~ (less(v0, v1) = 0) |  ? [v2] : ( ~ (v2 = 0) & greater(v0, v1) = v2)) &  ! [v0] :  ! [v1] :  ~ (vplus(v0, v1) = v1) &  ! [v0] :  ! [v1] :  ~ (vplus(v0, v1) = v0) &  ! [v0] :  ! [v1] : ( ~ (vplus(v0, v1) = v1) | vsucc(v0) = v1) &  ! [v0] :  ! [v1] : ( ~ (vplus(v1, v0) = v1) | vsucc(v0) = v1) &  ! [v0] :  ! [v1] : ( ~ (greater(v1, v0) = 0) |  ? [v2] : vplus(v0, v2) = v1) &  ! [v0] :  ~ (vsucc(v0) = v0) &  ! [v0] :  ~ (vsucc(v0) = v1) &  ! [v0] :  ~ (less(v0, v0) = 0) &  ! [v0] :  ~ (greater(v0, v0) = 0) &  ? [v0] :  ? [v1] : (v1 = v0 |  ? [v2] :  ? [v3] : ((v3 = v1 & vplus(v0, v2) = v1) | (v3 = v0 & vplus(v1, v2) = v0)))
% 21.28/6.50  |
% 21.28/6.50  | Applying alpha-rule on (1) yields:
% 21.28/6.50  | (2)  ! [v0] :  ! [v1] : ( ~ (greater(v1, v0) = 0) |  ? [v2] : vplus(v0, v2) = v1)
% 21.28/6.50  | (3) leq(vd390, vd391) = all_0_2_2
% 21.28/6.50  | (4)  ! [v0] :  ~ (less(v0, v0) = 0)
% 21.28/6.50  | (5)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v2 |  ~ (vplus(v0, v1) = v3) |  ~ (vplus(v0, v1) = v2))
% 21.28/6.50  | (6)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (vplus(v1, v1) = v2) |  ~ (geq(v0, v2) = v3) |  ? [v4] : ( ~ (v4 = 0) & greater(v0, v1) = v4))
% 21.28/6.50  | (7)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (less(v3, v4) = 0) |  ~ (vplus(v1, v2) = v4) |  ~ (vplus(v0, v2) = v3) | less(v0, v1) = 0)
% 21.28/6.51  | (8)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (geq(v1, v0) = 0) | greater(v1, v0) = 0)
% 21.28/6.51  | (9)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (leq(v1, v0) = 0) | less(v1, v0) = 0)
% 21.28/6.51  | (10)  ! [v0] :  ! [v1] : ( ~ (less(v0, v1) = 0) |  ? [v2] : ( ~ (v2 = 0) & greater(v0, v1) = v2))
% 21.28/6.51  | (11)  ~ (all_0_0_0 = 0)
% 21.28/6.51  | (12)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (vsucc(v1) = v2) |  ~ (vplus(v0, v2) = v3) |  ? [v4] : (vsucc(v4) = v3 & vplus(v0, v1) = v4))
% 21.28/6.51  | (13)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 | v1 = v0 |  ~ (less(v0, v1) = v2) | greater(v0, v1) = 0)
% 21.28/6.51  | (14)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (vplus(v1, v3) = v0) |  ~ (vplus(v0, v2) = v1))
% 21.28/6.51  | (15) greater(vd390, vd391) = all_0_0_0
% 21.28/6.51  | (16)  ! [v0] :  ! [v1] : ( ~ (vplus(v0, v1) = v1) | vsucc(v0) = v1)
% 21.28/6.51  | (17)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (vsucc(v2) = v1) |  ~ (vsucc(v2) = v0))
% 21.28/6.51  | (18)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (leq(v1, v0) = v2) |  ? [v3] : ( ~ (v3 = 0) & less(v1, v0) = v3))
% 21.28/6.51  | (19)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (leq(v1, v2) = v4) |  ~ (leq(v0, v1) = v3) |  ? [v5] :  ? [v6] :  ? [v7] : (less(v1, v2) = v5 & less(v0, v2) = v7 & less(v0, v1) = v6 & (v7 = 0 | (( ~ (v6 = 0) |  ~ (v4 = 0)) & ( ~ (v5 = 0) |  ~ (v3 = 0))))))
% 21.28/6.51  | (20)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v6 = 0 |  ~ (vplus(v1, v3) = v5) |  ~ (vplus(v0, v2) = v4) |  ~ (greater(v4, v5) = v6) |  ? [v7] :  ? [v8] : (greater(v2, v3) = v7 & greater(v0, v1) = v8 & ( ~ (v8 = 0) |  ~ (v7 = 0))))
% 21.28/6.51  | (21)  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (vplus(v2, v1) = v3) |  ? [v4] : ( ~ (v4 = v3) & vplus(v2, v0) = v4))
% 21.28/6.51  | (22)  ! [v0] :  ! [v1] :  ~ (vplus(v0, v1) = v0)
% 21.28/6.51  | (23)  ! [v0] :  ! [v1] : ( ~ (less(v1, v0) = 0) |  ? [v2] : vplus(v1, v2) = v0)
% 21.28/6.51  | (24)  ! [v0] :  ! [v1] : ( ~ (vplus(v1, v0) = v1) | vsucc(v0) = v1)
% 21.28/6.51  | (25)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (geq(v1, v0) = v2) |  ? [v3] : ( ~ (v3 = 0) & greater(v1, v0) = v3))
% 21.28/6.51  | (26)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (leq(v0, v2) = v3) |  ~ (leq(v0, v1) = 0) |  ? [v4] : ( ~ (v4 = 0) & leq(v1, v2) = v4))
% 21.28/6.51  | (27)  ! [v0] :  ~ (vsucc(v0) = v0)
% 21.28/6.51  | (28)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v2 = 0 |  ~ (less(v1, v0) = v2) |  ~ (vplus(v1, v3) = v0))
% 21.28/6.51  | (29)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (vsucc(v1) = v2) |  ~ (vsucc(v0) = v2))
% 21.28/6.51  | (30)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (leq(v1, v0) = v2) |  ? [v3] : ( ~ (v3 = 0) & geq(v0, v1) = v3))
% 21.28/6.51  | (31)  ! [v0] :  ! [v1] : ( ~ (less(v0, v1) = 0) | greater(v1, v0) = 0)
% 21.28/6.51  | (32)  ! [v0] :  ! [v1] : ( ~ (leq(v0, v1) = 0) | geq(v1, v0) = 0)
% 21.28/6.51  | (33)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (geq(v3, v2) = v1) |  ~ (geq(v3, v2) = v0))
% 21.28/6.51  | (34)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (less(v1, v0) = v2) |  ? [v3] : ( ~ (v3 = 0) & greater(v0, v1) = v3))
% 21.28/6.51  | (35)  ! [v0] :  ~ (vsucc(v0) = v1)
% 21.28/6.51  | (36)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (less(v0, v2) = v3) |  ~ (less(v0, v1) = 0) |  ? [v4] : ( ~ (v4 = 0) & less(v1, v2) = v4))
% 21.28/6.51  | (37)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (vplus(v0, v1) = v2) |  ~ (greater(v2, v0) = v3))
% 21.28/6.51  | (38)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (vplus(v1, v2) = v4) |  ~ (vplus(v0, v2) = v3) |  ~ (greater(v3, v4) = 0) | greater(v0, v1) = 0)
% 21.28/6.51  | (39)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (vskolem2(v2) = v1) |  ~ (vskolem2(v2) = v0))
% 21.28/6.51  | (40)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v6 = 0 |  ~ (vplus(v1, v3) = v5) |  ~ (vplus(v0, v2) = v4) |  ~ (greater(v4, v5) = v6) |  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] : (geq(v2, v3) = v9 & geq(v0, v1) = v8 & greater(v2, v3) = v7 & greater(v0, v1) = v10 & ( ~ (v10 = 0) |  ~ (v9 = 0)) & ( ~ (v8 = 0) |  ~ (v7 = 0))))
% 21.28/6.52  | (41)  ! [v0] :  ! [v1] : (v0 = v1 |  ~ (vskolem2(v0) = v1) | vsucc(v1) = v0)
% 21.28/6.52  | (42)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v6 = 0 |  ~ (vplus(v1, v3) = v5) |  ~ (vplus(v0, v2) = v4) |  ~ (geq(v4, v5) = v6) |  ? [v7] :  ? [v8] : (geq(v2, v3) = v7 & geq(v0, v1) = v8 & ( ~ (v8 = 0) |  ~ (v7 = 0))))
% 21.28/6.52  | (43)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (vplus(v1, v2) = v3) |  ~ (vplus(v0, v2) = v3))
% 21.28/6.52  | (44)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (leq(v0, v0) = v1))
% 21.28/6.52  | (45)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (greater(v3, v2) = v1) |  ~ (greater(v3, v2) = v0))
% 21.28/6.52  | (46)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (less(v3, v4) = v5) |  ~ (vplus(v1, v2) = v4) |  ~ (vplus(v0, v2) = v3) |  ? [v6] : ( ~ (v6 = 0) & less(v0, v1) = v6))
% 21.28/6.52  | (47)  ! [v0] :  ! [v1] :  ~ (vplus(v0, v1) = v1)
% 21.28/6.52  | (48) vplus(vd391, v1) = all_0_1_1
% 21.28/6.52  | (49)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v2 = 0 |  ~ (vplus(v0, v3) = v1) |  ~ (greater(v1, v0) = v2))
% 21.28/6.52  | (50)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (geq(v0, v0) = v1))
% 21.28/6.52  | (51)  ! [v0] :  ~ (greater(v0, v0) = 0)
% 21.28/6.52  | (52) less(vd390, all_0_1_1) = 0
% 21.28/6.52  | (53)  ~ (all_0_2_2 = 0)
% 21.28/6.52  | (54)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (vplus(v3, v2) = v1) |  ~ (vplus(v3, v2) = v0))
% 21.28/6.52  | (55)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (less(v3, v2) = v1) |  ~ (less(v3, v2) = v0))
% 21.28/6.52  | (56)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (leq(v3, v2) = v1) |  ~ (leq(v3, v2) = v0))
% 21.28/6.52  | (57)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (vsucc(v0) = v2) |  ~ (vplus(v2, v1) = v3) |  ? [v4] : (vsucc(v4) = v3 & vplus(v0, v1) = v4))
% 21.28/6.52  | (58)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (vplus(v3, v2) = v4) |  ~ (vplus(v0, v1) = v3) |  ? [v5] : (vplus(v1, v2) = v5 & vplus(v0, v5) = v4))
% 21.28/6.52  | (59)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (vplus(v0, v1) = v2) | vplus(v1, v0) = v2)
% 21.28/6.52  | (60)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (geq(v0, v1) = v1))
% 21.28/6.52  | (61)  ? [v0] :  ? [v1] : (v1 = v0 |  ? [v2] :  ? [v3] : ((v3 = v1 & vplus(v0, v2) = v1) | (v3 = v0 & vplus(v1, v2) = v0)))
% 21.28/6.52  | (62)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (vplus(v1, v2) = v4) |  ~ (vplus(v0, v2) = v3) |  ~ (greater(v3, v4) = v5) |  ? [v6] : ( ~ (v6 = 0) & greater(v0, v1) = v6))
% 21.28/6.52  |
% 21.28/6.52  | Instantiating formula (44) with all_0_2_2, vd390 yields:
% 21.28/6.52  | (63) all_0_2_2 = 0 |  ~ (leq(vd390, vd390) = all_0_2_2)
% 21.28/6.52  |
% 21.28/6.52  +-Applying beta-rule and splitting (63), into two cases.
% 21.28/6.52  |-Branch one:
% 21.28/6.52  | (64)  ~ (leq(vd390, vd390) = all_0_2_2)
% 21.28/6.52  |
% 21.28/6.52  	| Using (3) and (64) yields:
% 21.28/6.52  	| (65)  ~ (vd391 = vd390)
% 21.28/6.52  	|
% 21.28/6.52  	| Instantiating formula (18) with all_0_2_2, vd390, vd391 and discharging atoms leq(vd390, vd391) = all_0_2_2, yields:
% 21.28/6.52  	| (66) all_0_2_2 = 0 |  ? [v0] : ( ~ (v0 = 0) & less(vd390, vd391) = v0)
% 21.28/6.53  	|
% 21.28/6.53  	| Instantiating formula (30) with all_0_2_2, vd390, vd391 and discharging atoms leq(vd390, vd391) = all_0_2_2, yields:
% 21.28/6.53  	| (67) all_0_2_2 = 0 |  ? [v0] : ( ~ (v0 = 0) & geq(vd391, vd390) = v0)
% 21.28/6.53  	|
% 21.28/6.53  	+-Applying beta-rule and splitting (67), into two cases.
% 21.28/6.53  	|-Branch one:
% 21.28/6.53  	| (68) all_0_2_2 = 0
% 21.28/6.53  	|
% 21.28/6.53  		| Equations (68) can reduce 53 to:
% 21.28/6.53  		| (69) $false
% 21.28/6.53  		|
% 21.28/6.53  		|-The branch is then unsatisfiable
% 21.28/6.53  	|-Branch two:
% 21.28/6.53  	| (53)  ~ (all_0_2_2 = 0)
% 21.28/6.53  	| (71)  ? [v0] : ( ~ (v0 = 0) & geq(vd391, vd390) = v0)
% 21.28/6.53  	|
% 21.28/6.53  		+-Applying beta-rule and splitting (66), into two cases.
% 21.28/6.53  		|-Branch one:
% 21.28/6.53  		| (68) all_0_2_2 = 0
% 21.28/6.53  		|
% 21.28/6.53  			| Equations (68) can reduce 53 to:
% 21.28/6.53  			| (69) $false
% 21.28/6.53  			|
% 21.28/6.53  			|-The branch is then unsatisfiable
% 21.28/6.53  		|-Branch two:
% 21.28/6.53  		| (53)  ~ (all_0_2_2 = 0)
% 21.28/6.53  		| (75)  ? [v0] : ( ~ (v0 = 0) & less(vd390, vd391) = v0)
% 21.28/6.53  		|
% 21.28/6.53  			| Instantiating (75) with all_41_0_9 yields:
% 21.28/6.53  			| (76)  ~ (all_41_0_9 = 0) & less(vd390, vd391) = all_41_0_9
% 21.28/6.53  			|
% 21.28/6.53  			| Applying alpha-rule on (76) yields:
% 21.28/6.53  			| (77)  ~ (all_41_0_9 = 0)
% 21.28/6.53  			| (78) less(vd390, vd391) = all_41_0_9
% 21.28/6.53  			|
% 21.28/6.53  			| Instantiating formula (36) with all_41_0_9, vd391, all_0_1_1, vd390 and discharging atoms less(vd390, all_0_1_1) = 0, less(vd390, vd391) = all_41_0_9, yields:
% 21.28/6.53  			| (79) all_41_0_9 = 0 |  ? [v0] : ( ~ (v0 = 0) & less(all_0_1_1, vd391) = v0)
% 21.28/6.53  			|
% 21.28/6.53  			| Instantiating formula (13) with all_41_0_9, vd391, vd390 and discharging atoms less(vd390, vd391) = all_41_0_9, yields:
% 21.28/6.53  			| (80) all_41_0_9 = 0 | vd391 = vd390 | greater(vd390, vd391) = 0
% 21.28/6.53  			|
% 21.28/6.53  			| Instantiating formula (34) with all_41_0_9, vd390, vd391 and discharging atoms less(vd390, vd391) = all_41_0_9, yields:
% 21.28/6.53  			| (81) all_41_0_9 = 0 |  ? [v0] : ( ~ (v0 = 0) & greater(vd391, vd390) = v0)
% 21.28/6.53  			|
% 21.28/6.53  			+-Applying beta-rule and splitting (80), into two cases.
% 21.28/6.53  			|-Branch one:
% 21.28/6.53  			| (82) greater(vd390, vd391) = 0
% 21.28/6.53  			|
% 21.28/6.53  				| Instantiating formula (45) with vd390, vd391, 0, all_0_0_0 and discharging atoms greater(vd390, vd391) = all_0_0_0, greater(vd390, vd391) = 0, yields:
% 21.28/6.53  				| (83) all_0_0_0 = 0
% 21.28/6.53  				|
% 21.28/6.53  				| Equations (83) can reduce 11 to:
% 21.28/6.53  				| (69) $false
% 21.28/6.53  				|
% 21.28/6.53  				|-The branch is then unsatisfiable
% 21.28/6.53  			|-Branch two:
% 21.28/6.53  			| (85)  ~ (greater(vd390, vd391) = 0)
% 21.28/6.53  			| (86) all_41_0_9 = 0 | vd391 = vd390
% 21.28/6.53  			|
% 21.28/6.53  				+-Applying beta-rule and splitting (79), into two cases.
% 21.28/6.53  				|-Branch one:
% 21.28/6.53  				| (87) all_41_0_9 = 0
% 21.28/6.53  				|
% 21.28/6.53  					| Equations (87) can reduce 77 to:
% 21.28/6.53  					| (69) $false
% 21.28/6.53  					|
% 21.28/6.53  					|-The branch is then unsatisfiable
% 21.28/6.53  				|-Branch two:
% 21.28/6.53  				| (77)  ~ (all_41_0_9 = 0)
% 21.28/6.53  				| (90)  ? [v0] : ( ~ (v0 = 0) & less(all_0_1_1, vd391) = v0)
% 21.28/6.53  				|
% 21.28/6.53  					+-Applying beta-rule and splitting (81), into two cases.
% 21.28/6.53  					|-Branch one:
% 21.28/6.53  					| (87) all_41_0_9 = 0
% 21.28/6.53  					|
% 21.28/6.53  						| Equations (87) can reduce 77 to:
% 21.28/6.53  						| (69) $false
% 21.28/6.53  						|
% 21.28/6.53  						|-The branch is then unsatisfiable
% 21.28/6.53  					|-Branch two:
% 21.28/6.53  					| (77)  ~ (all_41_0_9 = 0)
% 21.28/6.53  					| (94)  ? [v0] : ( ~ (v0 = 0) & greater(vd391, vd390) = v0)
% 21.28/6.53  					|
% 21.28/6.53  						+-Applying beta-rule and splitting (86), into two cases.
% 21.28/6.53  						|-Branch one:
% 21.28/6.53  						| (87) all_41_0_9 = 0
% 21.28/6.53  						|
% 21.28/6.53  							| Equations (87) can reduce 77 to:
% 21.28/6.53  							| (69) $false
% 21.28/6.53  							|
% 21.28/6.53  							|-The branch is then unsatisfiable
% 21.28/6.53  						|-Branch two:
% 21.28/6.53  						| (77)  ~ (all_41_0_9 = 0)
% 21.28/6.53  						| (98) vd391 = vd390
% 21.28/6.53  						|
% 21.28/6.53  							| Equations (98) can reduce 65 to:
% 21.28/6.53  							| (69) $false
% 21.28/6.53  							|
% 21.28/6.53  							|-The branch is then unsatisfiable
% 21.28/6.53  |-Branch two:
% 21.28/6.53  | (100) leq(vd390, vd390) = all_0_2_2
% 21.28/6.53  | (68) all_0_2_2 = 0
% 21.28/6.53  |
% 21.28/6.53  	| Equations (68) can reduce 53 to:
% 21.28/6.53  	| (69) $false
% 21.28/6.53  	|
% 21.28/6.53  	|-The branch is then unsatisfiable
% 21.28/6.53  % SZS output end Proof for theBenchmark
% 21.28/6.53  
% 21.28/6.53  5937ms
%------------------------------------------------------------------------------