%------------------------------------------------------------------------------
% File     : ePrincess---1.0
% Problem  : NUM849+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : ePrincess-casc -timeout=%d %s

% Computer : n011.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 08:49:08 EDT 2022

% Result   : Theorem 4.09s 1.63s
% Output   : Proof 8.79s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM849+1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13  % Command  : ePrincess-casc -timeout=%d %s
% 0.12/0.35  % Computer : n011.cluster.edu
% 0.12/0.35  % Model    : x86_64 x86_64
% 0.12/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35  % Memory   : 8042.1875MB
% 0.12/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit : 300
% 0.12/0.35  % WCLimit  : 600
% 0.12/0.35  % DateTime : Wed Jul  6 23:38:53 EDT 2022
% 0.12/0.35  % CPUTime  : 
% 0.20/0.59          ____       _                          
% 0.20/0.59    ___  / __ \_____(_)___  ________  __________
% 0.20/0.59   / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.20/0.59  /  __/ ____/ /  / / / / / /__/  __(__  |__  ) 
% 0.20/0.59  \___/_/   /_/  /_/_/ /_/\___/\___/____/____/  
% 0.20/0.59  
% 0.20/0.59  A Theorem Prover for First-Order Logic
% 0.20/0.59  (ePrincess v.1.0)
% 0.20/0.59  
% 0.20/0.59  (c) Philipp Rümmer, 2009-2015
% 0.20/0.59  (c) Peter Backeman, 2014-2015
% 0.20/0.59  (contributions by Angelo Brillout, Peter Baumgartner)
% 0.20/0.59  Free software under GNU Lesser General Public License (LGPL).
% 0.20/0.59  Bug reports to peter@backeman.se
% 0.20/0.59  
% 0.20/0.59  For more information, visit http://user.uu.se/~petba168/breu/
% 0.20/0.59  
% 0.20/0.60  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.71/0.64  Prover 0: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.96/1.01  Prover 0: Preprocessing ...
% 3.46/1.42  Prover 0: Warning: ignoring some quantifiers
% 3.46/1.44  Prover 0: Constructing countermodel ...
% 4.09/1.63  Prover 0: proved (984ms)
% 4.09/1.63  
% 4.09/1.63  No countermodel exists, formula is valid
% 4.09/1.63  % SZS status Theorem for theBenchmark
% 4.09/1.63  
% 4.09/1.63  Generating proof ... Warning: ignoring some quantifiers
% 8.02/2.45  found it (size 292)
% 8.02/2.45  
% 8.02/2.45  % SZS output start Proof for theBenchmark
% 8.02/2.46  Assumed formulas after preprocessing and simplification: 
% 8.02/2.46  | (0)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : ( ~ (v8 = v6) & vsucc(v2) = v5 & vmul(v0, v5) = v6 & vmul(v0, v2) = v3 & vmul(v0, v1) = v0 & vmul(vd449, v5) = v7 & vmul(vd449, v2) = v4 & vmul(vd449, v1) = v1 & vmul(vd448, v7) = v8 & vmul(vd448, v4) = v3 & vmul(vd448, v1) = v0 & vmul(vd448, vd449) = v0 &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (vplus(v12, v13) = v14) |  ~ (vmul(v9, v11) = v13) |  ~ (vmul(v9, v10) = v12) |  ? [v15] : (vplus(v10, v11) = v15 & vmul(v9, v15) = v14)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (vplus(v10, v12) = v14) |  ~ (vplus(v9, v11) = v13) |  ~ geq(v11, v12) |  ~ geq(v9, v10) | geq(v13, v14)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (vplus(v10, v12) = v14) |  ~ (vplus(v9, v11) = v13) |  ~ geq(v11, v12) |  ~ greater(v9, v10) | greater(v13, v14)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (vplus(v10, v12) = v14) |  ~ (vplus(v9, v11) = v13) |  ~ geq(v9, v10) |  ~ greater(v11, v12) | greater(v13, v14)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (vplus(v10, v12) = v14) |  ~ (vplus(v9, v11) = v13) |  ~ greater(v11, v12) |  ~ greater(v9, v10) | greater(v13, v14)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (vplus(v12, v11) = v13) |  ~ (vplus(v9, v10) = v12) |  ? [v14] : (vplus(v10, v11) = v14 & vplus(v9, v14) = v13)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (vplus(v10, v11) = v13) |  ~ (vplus(v9, v11) = v12) |  ~ greater(v12, v13) | greater(v9, v10)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (vplus(v10, v11) = v13) |  ~ (vplus(v9, v11) = v12) |  ~ greater(v9, v10) | greater(v12, v13)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (vplus(v10, v11) = v13) |  ~ (vplus(v9, v11) = v12) |  ~ less(v12, v13) | less(v9, v10)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (vplus(v10, v11) = v13) |  ~ (vplus(v9, v11) = v12) |  ~ less(v9, v10) | less(v12, v13)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (vplus(v10, v11) = v12) |  ~ (vplus(v9, v12) = v13) |  ? [v14] : (vplus(v14, v11) = v13 & vplus(v9, v10) = v14)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (vplus(v10, v11) = v12) |  ~ (vmul(v9, v12) = v13) |  ? [v14] :  ? [v15] : (vplus(v14, v15) = v13 & vmul(v9, v11) = v15 & vmul(v9, v10) = v14)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v12 = v11 |  ~ (vplus(v9, v10) = v12) |  ~ (vplus(v9, v10) = v11)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v10 = v9 |  ~ (vplus(v12, v11) = v10) |  ~ (vplus(v12, v11) = v9)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v10 = v9 |  ~ (vplus(v10, v11) = v12) |  ~ (vplus(v9, v11) = v12)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v10 = v9 |  ~ (vmul(v12, v11) = v10) |  ~ (vmul(v12, v11) = v9)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (vsucc(v10) = v11) |  ~ (vplus(v9, v11) = v12) |  ? [v13] : (vsucc(v13) = v12 & vplus(v9, v10) = v13)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (vsucc(v10) = v11) |  ~ (vmul(v9, v11) = v12) |  ? [v13] : (vplus(v13, v9) = v12 & vmul(v9, v10) = v13)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (vsucc(v9) = v11) |  ~ (vplus(v11, v10) = v12) |  ? [v13] : (vsucc(v13) = v12 & vplus(v9, v10) = v13)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (vsucc(v9) = v11) |  ~ (vmul(v11, v10) = v12) |  ? [v13] : (vplus(v13, v10) = v12 & vmul(v9, v10) = v13)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (vplus(v11, v10) = v12) |  ~ (vmul(v9, v10) = v11) |  ? [v13] : (vsucc(v9) = v13 & vmul(v13, v10) = v12)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (vplus(v11, v9) = v12) |  ~ (vmul(v9, v10) = v11) |  ? [v13] : (vsucc(v10) = v13 & vmul(v9, v13) = v12)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (vplus(v10, v12) = v9) |  ~ (vplus(v9, v11) = v10)) &  ? [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v10 = v9 |  ~ (vplus(v11, v10) = v12) |  ? [v13] : ( ~ (v13 = v12) & vplus(v11, v9) = v13)) &  ! [v9] :  ! [v10] :  ! [v11] : (v10 = v9 |  ~ (vskolem2(v11) = v10) |  ~ (vskolem2(v11) = v9)) &  ! [v9] :  ! [v10] :  ! [v11] : (v10 = v9 |  ~ (vsucc(v11) = v10) |  ~ (vsucc(v11) = v9)) &  ! [v9] :  ! [v10] :  ! [v11] : (v10 = v9 |  ~ (vsucc(v10) = v11) |  ~ (vsucc(v9) = v11)) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (vplus(v10, v11) = v9) | less(v10, v9)) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (vplus(v10, v9) = v11) | vplus(v9, v10) = v11) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (vplus(v10, v1) = v11) |  ~ greater(v9, v10) | geq(v9, v11)) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (vplus(v10, v1) = v11) |  ~ less(v9, v11) | leq(v9, v10)) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (vplus(v9, v11) = v10) | greater(v10, v9)) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (vplus(v9, v10) = v11) | vplus(v10, v9) = v11) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (vplus(v9, v10) = v11) | greater(v11, v9)) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (vplus(v9, v10) = v11) |  ? [v12] :  ? [v13] : (vsucc(v11) = v13 & vsucc(v10) = v12 & vplus(v9, v12) = v13)) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (vplus(v9, v10) = v11) |  ? [v12] :  ? [v13] : (vsucc(v11) = v13 & vsucc(v9) = v12 & vplus(v12, v10) = v13)) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (vmul(v10, v9) = v11) | vmul(v9, v10) = v11) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (vmul(v9, v10) = v11) | vmul(v10, v9) = v11) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ leq(v10, v11) |  ~ leq(v9, v10) | leq(v9, v11)) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ leq(v10, v11) |  ~ less(v9, v10) | less(v9, v11)) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ leq(v9, v10) |  ~ less(v10, v11) | less(v9, v11)) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ less(v10, v11) |  ~ less(v9, v10) | less(v9, v11)) &  ! [v9] :  ! [v10] : (v10 = v9 |  ~ (vmul(v9, v1) = v10)) &  ! [v9] :  ! [v10] : (v10 = v9 |  ~ (vmul(v1, v9) = v10)) &  ! [v9] :  ! [v10] : (v10 = v9 |  ~ geq(v10, v9) | greater(v10, v9)) &  ! [v9] :  ! [v10] : (v10 = v9 |  ~ leq(v10, v9) | less(v10, v9)) &  ! [v9] :  ! [v10] : (v9 = v1 |  ~ (vskolem2(v9) = v10) | vsucc(v10) = v9) &  ! [v9] :  ! [v10] : ( ~ (vsucc(v9) = v10) | vplus(v9, v1) = v10) &  ! [v9] :  ! [v10] : ( ~ (vsucc(v9) = v10) | vplus(v1, v9) = v10) &  ! [v9] :  ! [v10] : ( ~ (vsucc(v9) = v10) |  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] :  ? [v15] :  ? [v16] :  ? [v17] : (vplus(v12, vd449) = v14 & vmul(v0, v9) = v11 & vmul(vd449, v10) = v16 & vmul(vd449, v9) = v12 & vmul(vd448, v16) = v17 & vmul(vd448, v14) = v15 & vmul(vd448, v12) = v13 & ( ~ (v13 = v11) | v17 = v15))) &  ! [v9] :  ! [v10] : ( ~ (vsucc(v9) = v10) |  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] :  ? [v15] : (vplus(v11, v0) = v15 & vmul(v0, v10) = v14 & vmul(v0, v9) = v11 & vmul(vd449, v9) = v12 & vmul(vd448, v12) = v13 & ( ~ (v13 = v11) | v15 = v14))) &  ! [v9] :  ! [v10] :  ~ (vplus(v9, v10) = v10) &  ! [v9] :  ! [v10] :  ~ (vplus(v9, v10) = v9) &  ! [v9] :  ! [v10] : ( ~ (vplus(v9, v1) = v10) | vsucc(v9) = v10) &  ! [v9] :  ! [v10] : ( ~ (vplus(v1, v9) = v10) | vsucc(v9) = v10) &  ! [v9] :  ! [v10] : ( ~ (vmul(v0, v9) = v10) |  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] :  ? [v15] :  ? [v16] :  ? [v17] : (vsucc(v9) = v15 & vplus(v11, vd449) = v13 & vmul(vd449, v15) = v16 & vmul(vd449, v9) = v11 & vmul(vd448, v16) = v17 & vmul(vd448, v13) = v14 & vmul(vd448, v11) = v12 & ( ~ (v12 = v10) | v17 = v14))) &  ! [v9] :  ! [v10] : ( ~ (vmul(v0, v9) = v10) |  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] :  ? [v15] : (vsucc(v9) = v13 & vplus(v10, v0) = v15 & vmul(v0, v13) = v14 & vmul(vd449, v9) = v11 & vmul(vd448, v11) = v12 & ( ~ (v12 = v10) | v15 = v14))) &  ! [v9] :  ! [v10] : ( ~ (vmul(v0, v9) = v10) |  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] :  ? [v15] : (vplus(v12, v0) = v13 & vplus(v11, vd449) = v14 & vmul(vd449, v9) = v11 & vmul(vd448, v14) = v15 & vmul(vd448, v11) = v12 & ( ~ (v12 = v10) | v15 = v13))) &  ! [v9] :  ! [v10] : ( ~ (vmul(v0, v9) = v10) |  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] : (vplus(v12, v0) = v14 & vplus(v10, v0) = v13 & vmul(vd449, v9) = v11 & vmul(vd448, v11) = v12 & ( ~ (v12 = v10) | v14 = v13))) &  ! [v9] :  ! [v10] : ( ~ (vmul(vd449, v9) = v10) |  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] :  ? [v15] :  ? [v16] :  ? [v17] : (vsucc(v9) = v15 & vplus(v10, vd449) = v13 & vmul(v0, v9) = v11 & vmul(vd449, v15) = v16 & vmul(vd448, v16) = v17 & vmul(vd448, v13) = v14 & vmul(vd448, v10) = v12 & ( ~ (v12 = v11) | v17 = v14))) &  ! [v9] :  ! [v10] : ( ~ (vmul(vd449, v9) = v10) |  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] :  ? [v15] : (vsucc(v9) = v13 & vplus(v11, v0) = v15 & vmul(v0, v13) = v14 & vmul(v0, v9) = v11 & vmul(vd448, v10) = v12 & ( ~ (v12 = v11) | v15 = v14))) &  ! [v9] :  ! [v10] : ( ~ (vmul(vd449, v9) = v10) |  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] :  ? [v15] : (vplus(v12, v0) = v13 & vplus(v10, vd449) = v14 & vmul(v0, v9) = v11 & vmul(vd448, v14) = v15 & vmul(vd448, v10) = v12 & ( ~ (v12 = v11) | v15 = v13))) &  ! [v9] :  ! [v10] : ( ~ (vmul(vd449, v9) = v10) |  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] : (vplus(v12, v0) = v14 & vplus(v11, v0) = v13 & vmul(v0, v9) = v11 & vmul(vd448, v10) = v12 & ( ~ (v12 = v11) | v14 = v13))) &  ! [v9] :  ! [v10] : ( ~ geq(v9, v10) | leq(v10, v9)) &  ! [v9] :  ! [v10] : ( ~ greater(v10, v9) | geq(v10, v9)) &  ! [v9] :  ! [v10] : ( ~ greater(v10, v9) |  ? [v11] : vplus(v9, v11) = v10) &  ! [v9] :  ! [v10] : ( ~ greater(v9, v10) |  ~ less(v9, v10)) &  ! [v9] :  ! [v10] : ( ~ greater(v9, v10) | less(v10, v9)) &  ! [v9] :  ! [v10] : ( ~ leq(v9, v10) | geq(v10, v9)) &  ! [v9] :  ! [v10] : ( ~ less(v10, v9) | leq(v10, v9)) &  ! [v9] :  ! [v10] : ( ~ less(v10, v9) |  ? [v11] : vplus(v10, v11) = v9) &  ! [v9] :  ! [v10] : ( ~ less(v9, v10) | greater(v10, v9)) &  ! [v9] :  ~ (vsucc(v9) = v9) &  ! [v9] :  ~ (vsucc(v9) = v1) &  ! [v9] :  ~ greater(v9, v9) &  ! [v9] :  ~ less(v9, v9) &  ? [v9] :  ? [v10] : (v10 = v9 | greater(v9, v10) | less(v9, v10)) &  ? [v9] :  ? [v10] : (v10 = v9 |  ? [v11] :  ? [v12] : ((v12 = v10 & vplus(v9, v11) = v10) | (v12 = v9 & vplus(v10, v11) = v9))) &  ? [v9] : geq(v9, v9) &  ? [v9] : geq(v9, v1) &  ? [v9] : leq(v9, v9))
% 8.40/2.52  | 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 yields:
% 8.40/2.52  | (1)  ~ (all_0_0_0 = all_0_2_2) & vsucc(all_0_6_6) = all_0_3_3 & vmul(all_0_8_8, all_0_3_3) = all_0_2_2 & vmul(all_0_8_8, all_0_6_6) = all_0_5_5 & vmul(all_0_8_8, v1) = all_0_8_8 & vmul(vd449, all_0_3_3) = all_0_1_1 & vmul(vd449, all_0_6_6) = all_0_4_4 & vmul(vd449, v1) = all_0_7_7 & vmul(vd448, all_0_1_1) = all_0_0_0 & vmul(vd448, all_0_4_4) = all_0_5_5 & vmul(vd448, all_0_7_7) = all_0_8_8 & vmul(vd448, vd449) = all_0_8_8 &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (vplus(v3, v4) = v5) |  ~ (vmul(v0, v2) = v4) |  ~ (vmul(v0, v1) = v3) |  ? [v6] : (vplus(v1, v2) = v6 & vmul(v0, v6) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (vplus(v1, v3) = v5) |  ~ (vplus(v0, v2) = v4) |  ~ geq(v2, v3) |  ~ geq(v0, v1) | geq(v4, v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (vplus(v1, v3) = v5) |  ~ (vplus(v0, v2) = v4) |  ~ geq(v2, v3) |  ~ greater(v0, v1) | greater(v4, v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (vplus(v1, v3) = v5) |  ~ (vplus(v0, v2) = v4) |  ~ geq(v0, v1) |  ~ greater(v2, v3) | greater(v4, v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (vplus(v1, v3) = v5) |  ~ (vplus(v0, v2) = v4) |  ~ greater(v2, v3) |  ~ greater(v0, v1) | greater(v4, v5)) &  ! [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) | greater(v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (vplus(v1, v2) = v4) |  ~ (vplus(v0, v2) = v3) |  ~ greater(v0, v1) | greater(v3, v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (vplus(v1, v2) = v4) |  ~ (vplus(v0, v2) = v3) |  ~ less(v3, v4) | less(v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (vplus(v1, v2) = v4) |  ~ (vplus(v0, v2) = v3) |  ~ less(v0, v1) | less(v3, v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (vplus(v1, v2) = v3) |  ~ (vplus(v0, v3) = v4) |  ? [v5] : (vplus(v5, v2) = v4 & vplus(v0, v1) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (vplus(v1, v2) = v3) |  ~ (vmul(v0, v3) = v4) |  ? [v5] :  ? [v6] : (vplus(v5, v6) = v4 & vmul(v0, v2) = v6 & vmul(v0, v1) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v2 |  ~ (vplus(v0, v1) = v3) |  ~ (vplus(v0, v1) = v2)) &  ! [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 |  ~ (vmul(v3, v2) = v1) |  ~ (vmul(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(v1) = v2) |  ~ (vmul(v0, v2) = v3) |  ? [v4] : (vplus(v4, v0) = v3 & vmul(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] : ( ~ (vsucc(v0) = v2) |  ~ (vmul(v2, v1) = v3) |  ? [v4] : (vplus(v4, v1) = v3 & vmul(v0, v1) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (vplus(v2, v1) = v3) |  ~ (vmul(v0, v1) = v2) |  ? [v4] : (vsucc(v0) = v4 & vmul(v4, v1) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (vplus(v2, v0) = v3) |  ~ (vmul(v0, v1) = v2) |  ? [v4] : (vsucc(v1) = v4 & vmul(v0, v4) = v3)) &  ! [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] : (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(v1, v2) = v0) | less(v1, v0)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (vplus(v1, v0) = v2) | vplus(v0, v1) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (vplus(v1, v1) = v2) |  ~ greater(v0, v1) | geq(v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (vplus(v1, v1) = v2) |  ~ less(v0, v2) | leq(v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (vplus(v0, v2) = v1) | greater(v1, v0)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (vplus(v0, v1) = v2) | vplus(v1, v0) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (vplus(v0, v1) = v2) | greater(v2, v0)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (vplus(v0, v1) = v2) |  ? [v3] :  ? [v4] : (vsucc(v2) = v4 & vsucc(v1) = v3 & vplus(v0, v3) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (vplus(v0, v1) = v2) |  ? [v3] :  ? [v4] : (vsucc(v2) = v4 & vsucc(v0) = v3 & vplus(v3, v1) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (vmul(v1, v0) = v2) | vmul(v0, v1) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (vmul(v0, v1) = v2) | vmul(v1, v0) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ leq(v1, v2) |  ~ leq(v0, v1) | leq(v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ leq(v1, v2) |  ~ less(v0, v1) | less(v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ leq(v0, v1) |  ~ less(v1, v2) | less(v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ less(v1, v2) |  ~ less(v0, v1) | less(v0, v2)) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (vmul(v0, v1) = v1)) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (vmul(v1, v0) = v1)) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ geq(v1, v0) | greater(v1, v0)) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ leq(v1, v0) | less(v1, v0)) &  ! [v0] :  ! [v1] : (v0 = v1 |  ~ (vskolem2(v0) = v1) | vsucc(v1) = v0) &  ! [v0] :  ! [v1] : ( ~ (vsucc(v0) = v1) | vplus(v0, v1) = v1) &  ! [v0] :  ! [v1] : ( ~ (vsucc(v0) = v1) | vplus(v1, v0) = v1) &  ! [v0] :  ! [v1] : ( ~ (vsucc(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (vplus(v3, vd449) = v5 & vmul(all_0_8_8, v0) = v2 & vmul(vd449, v1) = v7 & vmul(vd449, v0) = v3 & vmul(vd448, v7) = v8 & vmul(vd448, v5) = v6 & vmul(vd448, v3) = v4 & ( ~ (v4 = v2) | v8 = v6))) &  ! [v0] :  ! [v1] : ( ~ (vsucc(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (vplus(v2, all_0_8_8) = v6 & vmul(all_0_8_8, v1) = v5 & vmul(all_0_8_8, v0) = v2 & vmul(vd449, v0) = v3 & vmul(vd448, v3) = v4 & ( ~ (v4 = v2) | v6 = v5))) &  ! [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] : ( ~ (vmul(all_0_8_8, v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (vsucc(v0) = v6 & vplus(v2, vd449) = v4 & vmul(vd449, v6) = v7 & vmul(vd449, v0) = v2 & vmul(vd448, v7) = v8 & vmul(vd448, v4) = v5 & vmul(vd448, v2) = v3 & ( ~ (v3 = v1) | v8 = v5))) &  ! [v0] :  ! [v1] : ( ~ (vmul(all_0_8_8, v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (vsucc(v0) = v4 & vplus(v1, all_0_8_8) = v6 & vmul(all_0_8_8, v4) = v5 & vmul(vd449, v0) = v2 & vmul(vd448, v2) = v3 & ( ~ (v3 = v1) | v6 = v5))) &  ! [v0] :  ! [v1] : ( ~ (vmul(all_0_8_8, v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (vplus(v3, all_0_8_8) = v4 & vplus(v2, vd449) = v5 & vmul(vd449, v0) = v2 & vmul(vd448, v5) = v6 & vmul(vd448, v2) = v3 & ( ~ (v3 = v1) | v6 = v4))) &  ! [v0] :  ! [v1] : ( ~ (vmul(all_0_8_8, v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (vplus(v3, all_0_8_8) = v5 & vplus(v1, all_0_8_8) = v4 & vmul(vd449, v0) = v2 & vmul(vd448, v2) = v3 & ( ~ (v3 = v1) | v5 = v4))) &  ! [v0] :  ! [v1] : ( ~ (vmul(vd449, v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (vsucc(v0) = v6 & vplus(v1, vd449) = v4 & vmul(all_0_8_8, v0) = v2 & vmul(vd449, v6) = v7 & vmul(vd448, v7) = v8 & vmul(vd448, v4) = v5 & vmul(vd448, v1) = v3 & ( ~ (v3 = v2) | v8 = v5))) &  ! [v0] :  ! [v1] : ( ~ (vmul(vd449, v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (vsucc(v0) = v4 & vplus(v2, all_0_8_8) = v6 & vmul(all_0_8_8, v4) = v5 & vmul(all_0_8_8, v0) = v2 & vmul(vd448, v1) = v3 & ( ~ (v3 = v2) | v6 = v5))) &  ! [v0] :  ! [v1] : ( ~ (vmul(vd449, v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (vplus(v3, all_0_8_8) = v4 & vplus(v1, vd449) = v5 & vmul(all_0_8_8, v0) = v2 & vmul(vd448, v5) = v6 & vmul(vd448, v1) = v3 & ( ~ (v3 = v2) | v6 = v4))) &  ! [v0] :  ! [v1] : ( ~ (vmul(vd449, v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (vplus(v3, all_0_8_8) = v5 & vplus(v2, all_0_8_8) = v4 & vmul(all_0_8_8, v0) = v2 & vmul(vd448, v1) = v3 & ( ~ (v3 = v2) | v5 = v4))) &  ! [v0] :  ! [v1] : ( ~ geq(v0, v1) | leq(v1, v0)) &  ! [v0] :  ! [v1] : ( ~ greater(v1, v0) | geq(v1, v0)) &  ! [v0] :  ! [v1] : ( ~ greater(v1, v0) |  ? [v2] : vplus(v0, v2) = v1) &  ! [v0] :  ! [v1] : ( ~ greater(v0, v1) |  ~ less(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ greater(v0, v1) | less(v1, v0)) &  ! [v0] :  ! [v1] : ( ~ leq(v0, v1) | geq(v1, v0)) &  ! [v0] :  ! [v1] : ( ~ less(v1, v0) | leq(v1, v0)) &  ! [v0] :  ! [v1] : ( ~ less(v1, v0) |  ? [v2] : vplus(v1, v2) = v0) &  ! [v0] :  ! [v1] : ( ~ less(v0, v1) | greater(v1, v0)) &  ! [v0] :  ~ (vsucc(v0) = v0) &  ! [v0] :  ~ (vsucc(v0) = v1) &  ! [v0] :  ~ greater(v0, v0) &  ! [v0] :  ~ less(v0, v0) &  ? [v0] :  ? [v1] : (v1 = v0 | greater(v0, v1) | less(v0, v1)) &  ? [v0] :  ? [v1] : (v1 = v0 |  ? [v2] :  ? [v3] : ((v3 = v1 & vplus(v0, v2) = v1) | (v3 = v0 & vplus(v1, v2) = v0))) &  ? [v0] : geq(v0, v0) &  ? [v0] : geq(v0, v1) &  ? [v0] : leq(v0, v0)
% 8.40/2.53  |
% 8.40/2.53  | Applying alpha-rule on (1) yields:
% 8.40/2.53  | (2)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (vplus(v0, v1) = v2) | greater(v2, v0))
% 8.40/2.53  | (3)  ! [v0] :  ~ (vsucc(v0) = v0)
% 8.40/2.53  | (4)  ! [v0] :  ! [v1] : ( ~ greater(v1, v0) | geq(v1, v0))
% 8.40/2.53  | (5)  ! [v0] :  ! [v1] : ( ~ (vmul(vd449, v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (vsucc(v0) = v4 & vplus(v2, all_0_8_8) = v6 & vmul(all_0_8_8, v4) = v5 & vmul(all_0_8_8, v0) = v2 & vmul(vd448, v1) = v3 & ( ~ (v3 = v2) | v6 = v5)))
% 8.40/2.54  | (6)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (vplus(v0, v1) = v2) |  ? [v3] :  ? [v4] : (vsucc(v2) = v4 & vsucc(v0) = v3 & vplus(v3, v1) = v4))
% 8.40/2.54  | (7)  ! [v0] :  ~ (vsucc(v0) = v1)
% 8.40/2.54  | (8)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (vplus(v3, v2) = v1) |  ~ (vplus(v3, v2) = v0))
% 8.40/2.54  | (9)  ! [v0] :  ! [v1] : ( ~ (vsucc(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (vplus(v3, vd449) = v5 & vmul(all_0_8_8, v0) = v2 & vmul(vd449, v1) = v7 & vmul(vd449, v0) = v3 & vmul(vd448, v7) = v8 & vmul(vd448, v5) = v6 & vmul(vd448, v3) = v4 & ( ~ (v4 = v2) | v8 = v6)))
% 8.40/2.54  | (10)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (vmul(v0, v1) = v1))
% 8.40/2.54  | (11)  ! [v0] :  ! [v1] :  ~ (vplus(v0, v1) = v1)
% 8.40/2.54  | (12) vmul(vd449, v1) = all_0_7_7
% 8.40/2.54  | (13)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (vsucc(v1) = v2) |  ~ (vsucc(v0) = v2))
% 8.40/2.54  | (14) vsucc(all_0_6_6) = all_0_3_3
% 8.40/2.54  | (15)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ geq(v1, v0) | greater(v1, v0))
% 8.40/2.54  | (16)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (vsucc(v2) = v1) |  ~ (vsucc(v2) = v0))
% 8.40/2.54  | (17)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (vmul(v1, v0) = v1))
% 8.40/2.54  | (18)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ leq(v1, v2) |  ~ leq(v0, v1) | leq(v0, v2))
% 8.40/2.54  | (19)  ! [v0] :  ! [v1] : ( ~ less(v1, v0) |  ? [v2] : vplus(v1, v2) = v0)
% 8.40/2.54  | (20)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (vplus(v2, v0) = v3) |  ~ (vmul(v0, v1) = v2) |  ? [v4] : (vsucc(v1) = v4 & vmul(v0, v4) = v3))
% 8.40/2.54  | (21)  ? [v0] : geq(v0, v0)
% 8.40/2.54  | (22)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (vsucc(v0) = v2) |  ~ (vmul(v2, v1) = v3) |  ? [v4] : (vplus(v4, v1) = v3 & vmul(v0, v1) = v4))
% 8.40/2.54  | (23)  ! [v0] :  ! [v1] : ( ~ (vplus(v1, v0) = v1) | vsucc(v0) = v1)
% 8.40/2.54  | (24)  ! [v0] :  ! [v1] : ( ~ (vsucc(v0) = v1) | vplus(v1, v0) = v1)
% 8.40/2.54  | (25)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ less(v1, v2) |  ~ less(v0, v1) | less(v0, v2))
% 8.40/2.54  | (26)  ? [v0] :  ? [v1] : (v1 = v0 |  ? [v2] :  ? [v3] : ((v3 = v1 & vplus(v0, v2) = v1) | (v3 = v0 & vplus(v1, v2) = v0)))
% 8.40/2.54  | (27)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (vplus(v1, v2) = v3) |  ~ (vplus(v0, v2) = v3))
% 8.40/2.54  | (28)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v2 |  ~ (vplus(v0, v1) = v3) |  ~ (vplus(v0, v1) = v2))
% 8.40/2.54  | (29)  ~ (all_0_0_0 = all_0_2_2)
% 8.40/2.54  | (30)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (vplus(v1, v2) = v4) |  ~ (vplus(v0, v2) = v3) |  ~ less(v0, v1) | less(v3, v4))
% 8.40/2.54  | (31)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (vplus(v1, v2) = v4) |  ~ (vplus(v0, v2) = v3) |  ~ less(v3, v4) | less(v0, v1))
% 8.40/2.54  | (32)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (vskolem2(v2) = v1) |  ~ (vskolem2(v2) = v0))
% 8.40/2.54  | (33)  ! [v0] :  ! [v1] : ( ~ leq(v0, v1) | geq(v1, v0))
% 8.40/2.54  | (34)  ! [v0] :  ! [v1] : ( ~ geq(v0, v1) | leq(v1, v0))
% 8.40/2.54  | (35)  ! [v0] :  ! [v1] : ( ~ less(v0, v1) | greater(v1, v0))
% 8.40/2.54  | (36)  ! [v0] :  ! [v1] : ( ~ greater(v0, v1) | less(v1, v0))
% 8.40/2.54  | (37)  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (vplus(v2, v1) = v3) |  ? [v4] : ( ~ (v4 = v3) & vplus(v2, v0) = v4))
% 8.40/2.54  | (38)  ! [v0] :  ! [v1] : ( ~ (vmul(vd449, v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (vsucc(v0) = v6 & vplus(v1, vd449) = v4 & vmul(all_0_8_8, v0) = v2 & vmul(vd449, v6) = v7 & vmul(vd448, v7) = v8 & vmul(vd448, v4) = v5 & vmul(vd448, v1) = v3 & ( ~ (v3 = v2) | v8 = v5)))
% 8.40/2.54  | (39)  ! [v0] :  ! [v1] : ( ~ (vmul(all_0_8_8, v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (vsucc(v0) = v4 & vplus(v1, all_0_8_8) = v6 & vmul(all_0_8_8, v4) = v5 & vmul(vd449, v0) = v2 & vmul(vd448, v2) = v3 & ( ~ (v3 = v1) | v6 = v5)))
% 8.40/2.54  | (40) vmul(vd448, vd449) = all_0_8_8
% 8.40/2.55  | (41)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (vplus(v2, v1) = v3) |  ~ (vmul(v0, v1) = v2) |  ? [v4] : (vsucc(v0) = v4 & vmul(v4, v1) = v3))
% 8.40/2.55  | (42)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (vplus(v0, v2) = v1) | greater(v1, v0))
% 8.40/2.55  | (43)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (vplus(v1, v2) = v0) | less(v1, v0))
% 8.40/2.55  | (44)  ? [v0] : geq(v0, v1)
% 8.40/2.55  | (45)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (vplus(v1, v1) = v2) |  ~ greater(v0, v1) | geq(v0, v2))
% 8.40/2.55  | (46)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (vmul(v0, v1) = v2) | vmul(v1, v0) = v2)
% 8.40/2.55  | (47)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (vmul(v1, v0) = v2) | vmul(v0, v1) = v2)
% 8.40/2.55  | (48)  ! [v0] :  ! [v1] : (v0 = v1 |  ~ (vskolem2(v0) = v1) | vsucc(v1) = v0)
% 8.40/2.55  | (49)  ! [v0] :  ! [v1] :  ~ (vplus(v0, v1) = v0)
% 8.40/2.55  | (50)  ! [v0] :  ! [v1] : ( ~ (vmul(all_0_8_8, v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (vsucc(v0) = v6 & vplus(v2, vd449) = v4 & vmul(vd449, v6) = v7 & vmul(vd449, v0) = v2 & vmul(vd448, v7) = v8 & vmul(vd448, v4) = v5 & vmul(vd448, v2) = v3 & ( ~ (v3 = v1) | v8 = v5)))
% 8.40/2.55  | (51) vmul(all_0_8_8, v1) = all_0_8_8
% 8.40/2.55  | (52)  ! [v0] :  ! [v1] : ( ~ (vmul(all_0_8_8, v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (vplus(v3, all_0_8_8) = v4 & vplus(v2, vd449) = v5 & vmul(vd449, v0) = v2 & vmul(vd448, v5) = v6 & vmul(vd448, v2) = v3 & ( ~ (v3 = v1) | v6 = v4)))
% 8.40/2.55  | (53)  ? [v0] : leq(v0, v0)
% 8.40/2.55  | (54)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (vplus(v1, v3) = v5) |  ~ (vplus(v0, v2) = v4) |  ~ geq(v0, v1) |  ~ greater(v2, v3) | greater(v4, v5))
% 8.40/2.55  | (55)  ! [v0] :  ! [v1] : ( ~ greater(v0, v1) |  ~ less(v0, v1))
% 8.40/2.55  | (56)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (vmul(v3, v2) = v1) |  ~ (vmul(v3, v2) = v0))
% 8.40/2.55  | (57) vmul(all_0_8_8, all_0_3_3) = all_0_2_2
% 8.40/2.55  | (58)  ! [v0] :  ! [v1] : ( ~ (vsucc(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (vplus(v2, all_0_8_8) = v6 & vmul(all_0_8_8, v1) = v5 & vmul(all_0_8_8, v0) = v2 & vmul(vd449, v0) = v3 & vmul(vd448, v3) = v4 & ( ~ (v4 = v2) | v6 = v5)))
% 8.40/2.55  | (59)  ! [v0] :  ! [v1] : ( ~ (vplus(v0, v1) = v1) | vsucc(v0) = v1)
% 8.40/2.55  | (60)  ! [v0] :  ! [v1] : ( ~ (vsucc(v0) = v1) | vplus(v0, v1) = v1)
% 8.40/2.55  | (61) vmul(vd448, all_0_1_1) = all_0_0_0
% 8.40/2.55  | (62)  ! [v0] :  ! [v1] : ( ~ (vmul(vd449, v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (vplus(v3, all_0_8_8) = v5 & vplus(v2, all_0_8_8) = v4 & vmul(all_0_8_8, v0) = v2 & vmul(vd448, v1) = v3 & ( ~ (v3 = v2) | v5 = v4)))
% 8.40/2.55  | (63)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ leq(v1, v0) | less(v1, v0))
% 8.40/2.55  | (64) vmul(vd449, all_0_3_3) = all_0_1_1
% 8.40/2.55  | (65)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (vsucc(v1) = v2) |  ~ (vplus(v0, v2) = v3) |  ? [v4] : (vsucc(v4) = v3 & vplus(v0, v1) = v4))
% 8.40/2.55  | (66)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ leq(v0, v1) |  ~ less(v1, v2) | less(v0, v2))
% 8.40/2.55  | (67)  ! [v0] :  ! [v1] : ( ~ (vmul(all_0_8_8, v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (vplus(v3, all_0_8_8) = v5 & vplus(v1, all_0_8_8) = v4 & vmul(vd449, v0) = v2 & vmul(vd448, v2) = v3 & ( ~ (v3 = v1) | v5 = v4)))
% 8.40/2.55  | (68)  ! [v0] :  ! [v1] : ( ~ less(v1, v0) | leq(v1, v0))
% 8.40/2.55  | (69)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (vplus(v1, v2) = v3) |  ~ (vmul(v0, v3) = v4) |  ? [v5] :  ? [v6] : (vplus(v5, v6) = v4 & vmul(v0, v2) = v6 & vmul(v0, v1) = v5))
% 8.40/2.55  | (70)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (vplus(v1, v3) = v0) |  ~ (vplus(v0, v2) = v1))
% 8.40/2.55  | (71)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (vplus(v1, v3) = v5) |  ~ (vplus(v0, v2) = v4) |  ~ greater(v2, v3) |  ~ greater(v0, v1) | greater(v4, v5))
% 8.40/2.55  | (72) vmul(vd448, all_0_4_4) = all_0_5_5
% 8.40/2.55  | (73)  ! [v0] :  ! [v1] : ( ~ greater(v1, v0) |  ? [v2] : vplus(v0, v2) = v1)
% 8.40/2.56  | (74)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ leq(v1, v2) |  ~ less(v0, v1) | less(v0, v2))
% 8.40/2.56  | (75)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (vplus(v1, v2) = v4) |  ~ (vplus(v0, v2) = v3) |  ~ greater(v0, v1) | greater(v3, v4))
% 8.40/2.56  | (76)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (vplus(v1, v2) = v4) |  ~ (vplus(v0, v2) = v3) |  ~ greater(v3, v4) | greater(v0, v1))
% 8.40/2.56  | (77)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (vplus(v0, v1) = v2) |  ? [v3] :  ? [v4] : (vsucc(v2) = v4 & vsucc(v1) = v3 & vplus(v0, v3) = v4))
% 8.40/2.56  | (78)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (vplus(v1, v3) = v5) |  ~ (vplus(v0, v2) = v4) |  ~ geq(v2, v3) |  ~ geq(v0, v1) | geq(v4, v5))
% 8.40/2.56  | (79)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (vsucc(v1) = v2) |  ~ (vmul(v0, v2) = v3) |  ? [v4] : (vplus(v4, v0) = v3 & vmul(v0, v1) = v4))
% 8.40/2.56  | (80) vmul(vd448, all_0_7_7) = all_0_8_8
% 8.40/2.56  | (81)  ! [v0] :  ~ less(v0, v0)
% 8.40/2.56  | (82)  ! [v0] :  ~ greater(v0, v0)
% 8.40/2.56  | (83)  ! [v0] :  ! [v1] : ( ~ (vmul(vd449, v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (vplus(v3, all_0_8_8) = v4 & vplus(v1, vd449) = v5 & vmul(all_0_8_8, v0) = v2 & vmul(vd448, v5) = v6 & vmul(vd448, v1) = v3 & ( ~ (v3 = v2) | v6 = v4)))
% 8.40/2.56  | (84)  ? [v0] :  ? [v1] : (v1 = v0 | greater(v0, v1) | less(v0, v1))
% 8.40/2.56  | (85)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (vplus(v1, v1) = v2) |  ~ less(v0, v2) | leq(v0, v1))
% 8.40/2.56  | (86)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (vsucc(v0) = v2) |  ~ (vplus(v2, v1) = v3) |  ? [v4] : (vsucc(v4) = v3 & vplus(v0, v1) = v4))
% 8.40/2.56  | (87)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (vplus(v1, v3) = v5) |  ~ (vplus(v0, v2) = v4) |  ~ geq(v2, v3) |  ~ greater(v0, v1) | greater(v4, v5))
% 8.40/2.56  | (88)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (vplus(v3, v4) = v5) |  ~ (vmul(v0, v2) = v4) |  ~ (vmul(v0, v1) = v3) |  ? [v6] : (vplus(v1, v2) = v6 & vmul(v0, v6) = v5))
% 8.40/2.56  | (89)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (vplus(v0, v1) = v2) | vplus(v1, v0) = v2)
% 8.40/2.56  | (90)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (vplus(v1, v0) = v2) | vplus(v0, v1) = v2)
% 8.40/2.56  | (91)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (vplus(v3, v2) = v4) |  ~ (vplus(v0, v1) = v3) |  ? [v5] : (vplus(v1, v2) = v5 & vplus(v0, v5) = v4))
% 8.40/2.56  | (92) vmul(vd449, all_0_6_6) = all_0_4_4
% 8.40/2.56  | (93)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (vplus(v1, v2) = v3) |  ~ (vplus(v0, v3) = v4) |  ? [v5] : (vplus(v5, v2) = v4 & vplus(v0, v1) = v5))
% 8.40/2.56  | (94) vmul(all_0_8_8, all_0_6_6) = all_0_5_5
% 8.40/2.56  |
% 8.40/2.56  | Instantiating formula (9) with all_0_3_3, all_0_6_6 and discharging atoms vsucc(all_0_6_6) = all_0_3_3, yields:
% 8.40/2.56  | (95)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (vplus(v1, vd449) = v3 & vmul(all_0_8_8, all_0_6_6) = v0 & vmul(vd449, all_0_3_3) = v5 & vmul(vd449, all_0_6_6) = v1 & vmul(vd448, v5) = v6 & vmul(vd448, v3) = v4 & vmul(vd448, v1) = v2 & ( ~ (v2 = v0) | v6 = v4))
% 8.40/2.56  |
% 8.40/2.56  | Instantiating formula (58) with all_0_3_3, all_0_6_6 and discharging atoms vsucc(all_0_6_6) = all_0_3_3, yields:
% 8.40/2.56  | (96)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] : (vplus(v0, all_0_8_8) = v4 & vmul(all_0_8_8, all_0_3_3) = v3 & vmul(all_0_8_8, all_0_6_6) = v0 & vmul(vd449, all_0_6_6) = v1 & vmul(vd448, v1) = v2 & ( ~ (v2 = v0) | v4 = v3))
% 8.40/2.56  |
% 8.40/2.56  | Instantiating formula (79) with all_0_2_2, all_0_3_3, all_0_6_6, all_0_8_8 and discharging atoms vsucc(all_0_6_6) = all_0_3_3, vmul(all_0_8_8, all_0_3_3) = all_0_2_2, yields:
% 8.40/2.56  | (97)  ? [v0] : (vplus(v0, all_0_8_8) = all_0_2_2 & vmul(all_0_8_8, all_0_6_6) = v0)
% 8.40/2.56  |
% 8.40/2.56  | Instantiating formula (50) with all_0_2_2, all_0_3_3 and discharging atoms vmul(all_0_8_8, all_0_3_3) = all_0_2_2, yields:
% 8.40/2.56  | (98)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (vsucc(all_0_3_3) = v4 & vplus(v0, vd449) = v2 & vmul(vd449, v4) = v5 & vmul(vd449, all_0_3_3) = v0 & vmul(vd448, v5) = v6 & vmul(vd448, v2) = v3 & vmul(vd448, v0) = v1 & ( ~ (v1 = all_0_2_2) | v6 = v3))
% 8.40/2.56  |
% 8.40/2.56  | Instantiating formula (39) with all_0_2_2, all_0_3_3 and discharging atoms vmul(all_0_8_8, all_0_3_3) = all_0_2_2, yields:
% 8.40/2.56  | (99)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] : (vsucc(all_0_3_3) = v2 & vplus(all_0_2_2, all_0_8_8) = v4 & vmul(all_0_8_8, v2) = v3 & vmul(vd449, all_0_3_3) = v0 & vmul(vd448, v0) = v1 & ( ~ (v1 = all_0_2_2) | v4 = v3))
% 8.40/2.56  |
% 8.40/2.56  | Instantiating formula (52) with all_0_2_2, all_0_3_3 and discharging atoms vmul(all_0_8_8, all_0_3_3) = all_0_2_2, yields:
% 8.40/2.57  | (100)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] : (vplus(v1, all_0_8_8) = v2 & vplus(v0, vd449) = v3 & vmul(vd449, all_0_3_3) = v0 & vmul(vd448, v3) = v4 & vmul(vd448, v0) = v1 & ( ~ (v1 = all_0_2_2) | v4 = v2))
% 8.40/2.57  |
% 8.40/2.57  | Instantiating formula (67) with all_0_2_2, all_0_3_3 and discharging atoms vmul(all_0_8_8, all_0_3_3) = all_0_2_2, yields:
% 8.40/2.57  | (101)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : (vplus(v1, all_0_8_8) = v3 & vplus(all_0_2_2, all_0_8_8) = v2 & vmul(vd449, all_0_3_3) = v0 & vmul(vd448, v0) = v1 & ( ~ (v1 = all_0_2_2) | v3 = v2))
% 8.40/2.57  |
% 8.40/2.57  | Instantiating formula (50) with all_0_5_5, all_0_6_6 and discharging atoms vmul(all_0_8_8, all_0_6_6) = all_0_5_5, yields:
% 8.40/2.57  | (102)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (vsucc(all_0_6_6) = v4 & vplus(v0, vd449) = v2 & vmul(vd449, v4) = v5 & vmul(vd449, all_0_6_6) = v0 & vmul(vd448, v5) = v6 & vmul(vd448, v2) = v3 & vmul(vd448, v0) = v1 & ( ~ (v1 = all_0_5_5) | v6 = v3))
% 8.40/2.57  |
% 8.40/2.57  | Instantiating formula (39) with all_0_5_5, all_0_6_6 and discharging atoms vmul(all_0_8_8, all_0_6_6) = all_0_5_5, yields:
% 8.40/2.57  | (103)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] : (vsucc(all_0_6_6) = v2 & vplus(all_0_5_5, all_0_8_8) = v4 & vmul(all_0_8_8, v2) = v3 & vmul(vd449, all_0_6_6) = v0 & vmul(vd448, v0) = v1 & ( ~ (v1 = all_0_5_5) | v4 = v3))
% 8.40/2.57  |
% 8.40/2.57  | Instantiating formula (52) with all_0_5_5, all_0_6_6 and discharging atoms vmul(all_0_8_8, all_0_6_6) = all_0_5_5, yields:
% 8.40/2.57  | (104)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] : (vplus(v1, all_0_8_8) = v2 & vplus(v0, vd449) = v3 & vmul(vd449, all_0_6_6) = v0 & vmul(vd448, v3) = v4 & vmul(vd448, v0) = v1 & ( ~ (v1 = all_0_5_5) | v4 = v2))
% 8.40/2.57  |
% 8.40/2.57  | Instantiating formula (67) with all_0_5_5, all_0_6_6 and discharging atoms vmul(all_0_8_8, all_0_6_6) = all_0_5_5, yields:
% 8.40/2.57  | (105)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : (vplus(v1, all_0_8_8) = v3 & vplus(all_0_5_5, all_0_8_8) = v2 & vmul(vd449, all_0_6_6) = v0 & vmul(vd448, v0) = v1 & ( ~ (v1 = all_0_5_5) | v3 = v2))
% 8.40/2.57  |
% 8.40/2.57  | Instantiating formula (79) with all_0_1_1, all_0_3_3, all_0_6_6, vd449 and discharging atoms vsucc(all_0_6_6) = all_0_3_3, vmul(vd449, all_0_3_3) = all_0_1_1, yields:
% 8.40/2.57  | (106)  ? [v0] : (vplus(v0, vd449) = all_0_1_1 & vmul(vd449, all_0_6_6) = v0)
% 8.40/2.57  |
% 8.40/2.57  | Instantiating formula (38) with all_0_1_1, all_0_3_3 and discharging atoms vmul(vd449, all_0_3_3) = all_0_1_1, yields:
% 8.40/2.57  | (107)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (vsucc(all_0_3_3) = v4 & vplus(all_0_1_1, vd449) = v2 & vmul(all_0_8_8, all_0_3_3) = v0 & vmul(vd449, v4) = v5 & vmul(vd448, v5) = v6 & vmul(vd448, v2) = v3 & vmul(vd448, all_0_1_1) = v1 & ( ~ (v1 = v0) | v6 = v3))
% 8.40/2.57  |
% 8.40/2.57  | Instantiating formula (5) with all_0_1_1, all_0_3_3 and discharging atoms vmul(vd449, all_0_3_3) = all_0_1_1, yields:
% 8.40/2.57  | (108)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] : (vsucc(all_0_3_3) = v2 & vplus(v0, all_0_8_8) = v4 & vmul(all_0_8_8, v2) = v3 & vmul(all_0_8_8, all_0_3_3) = v0 & vmul(vd448, all_0_1_1) = v1 & ( ~ (v1 = v0) | v4 = v3))
% 8.40/2.57  |
% 8.40/2.57  | Instantiating formula (83) with all_0_1_1, all_0_3_3 and discharging atoms vmul(vd449, all_0_3_3) = all_0_1_1, yields:
% 8.40/2.57  | (109)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] : (vplus(v1, all_0_8_8) = v2 & vplus(all_0_1_1, vd449) = v3 & vmul(all_0_8_8, all_0_3_3) = v0 & vmul(vd448, v3) = v4 & vmul(vd448, all_0_1_1) = v1 & ( ~ (v1 = v0) | v4 = v2))
% 8.40/2.57  |
% 8.40/2.57  | Instantiating formula (62) with all_0_1_1, all_0_3_3 and discharging atoms vmul(vd449, all_0_3_3) = all_0_1_1, yields:
% 8.40/2.57  | (110)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : (vplus(v1, all_0_8_8) = v3 & vplus(v0, all_0_8_8) = v2 & vmul(all_0_8_8, all_0_3_3) = v0 & vmul(vd448, all_0_1_1) = v1 & ( ~ (v1 = v0) | v3 = v2))
% 8.40/2.57  |
% 8.40/2.57  | Instantiating formula (38) with all_0_4_4, all_0_6_6 and discharging atoms vmul(vd449, all_0_6_6) = all_0_4_4, yields:
% 8.40/2.57  | (111)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (vsucc(all_0_6_6) = v4 & vplus(all_0_4_4, vd449) = v2 & vmul(all_0_8_8, all_0_6_6) = v0 & vmul(vd449, v4) = v5 & vmul(vd448, v5) = v6 & vmul(vd448, v2) = v3 & vmul(vd448, all_0_4_4) = v1 & ( ~ (v1 = v0) | v6 = v3))
% 8.40/2.57  |
% 8.40/2.57  | Instantiating formula (5) with all_0_4_4, all_0_6_6 and discharging atoms vmul(vd449, all_0_6_6) = all_0_4_4, yields:
% 8.40/2.57  | (112)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] : (vsucc(all_0_6_6) = v2 & vplus(v0, all_0_8_8) = v4 & vmul(all_0_8_8, v2) = v3 & vmul(all_0_8_8, all_0_6_6) = v0 & vmul(vd448, all_0_4_4) = v1 & ( ~ (v1 = v0) | v4 = v3))
% 8.40/2.57  |
% 8.40/2.57  | Instantiating formula (83) with all_0_4_4, all_0_6_6 and discharging atoms vmul(vd449, all_0_6_6) = all_0_4_4, yields:
% 8.40/2.57  | (113)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] : (vplus(v1, all_0_8_8) = v2 & vplus(all_0_4_4, vd449) = v3 & vmul(all_0_8_8, all_0_6_6) = v0 & vmul(vd448, v3) = v4 & vmul(vd448, all_0_4_4) = v1 & ( ~ (v1 = v0) | v4 = v2))
% 8.40/2.57  |
% 8.40/2.57  | Instantiating formula (62) with all_0_4_4, all_0_6_6 and discharging atoms vmul(vd449, all_0_6_6) = all_0_4_4, yields:
% 8.40/2.57  | (114)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : (vplus(v1, all_0_8_8) = v3 & vplus(v0, all_0_8_8) = v2 & vmul(all_0_8_8, all_0_6_6) = v0 & vmul(vd448, all_0_4_4) = v1 & ( ~ (v1 = v0) | v3 = v2))
% 8.40/2.57  |
% 8.40/2.57  | Instantiating (98) with all_31_0_38, all_31_1_39, all_31_2_40, all_31_3_41, all_31_4_42, all_31_5_43, all_31_6_44 yields:
% 8.40/2.57  | (115) vsucc(all_0_3_3) = all_31_2_40 & vplus(all_31_6_44, vd449) = all_31_4_42 & vmul(vd449, all_31_2_40) = all_31_1_39 & vmul(vd449, all_0_3_3) = all_31_6_44 & vmul(vd448, all_31_1_39) = all_31_0_38 & vmul(vd448, all_31_4_42) = all_31_3_41 & vmul(vd448, all_31_6_44) = all_31_5_43 & ( ~ (all_31_5_43 = all_0_2_2) | all_31_0_38 = all_31_3_41)
% 8.40/2.57  |
% 8.40/2.57  | Applying alpha-rule on (115) yields:
% 8.40/2.57  | (116) vmul(vd448, all_31_4_42) = all_31_3_41
% 8.40/2.57  | (117) vmul(vd448, all_31_6_44) = all_31_5_43
% 8.40/2.57  | (118) vmul(vd448, all_31_1_39) = all_31_0_38
% 8.40/2.57  | (119) vmul(vd449, all_31_2_40) = all_31_1_39
% 8.40/2.57  | (120) vmul(vd449, all_0_3_3) = all_31_6_44
% 8.40/2.57  | (121) vsucc(all_0_3_3) = all_31_2_40
% 8.40/2.57  | (122) vplus(all_31_6_44, vd449) = all_31_4_42
% 8.40/2.57  | (123)  ~ (all_31_5_43 = all_0_2_2) | all_31_0_38 = all_31_3_41
% 8.40/2.57  |
% 8.40/2.57  | Instantiating (96) with all_33_0_45, all_33_1_46, all_33_2_47, all_33_3_48, all_33_4_49 yields:
% 8.40/2.57  | (124) vplus(all_33_4_49, all_0_8_8) = all_33_0_45 & vmul(all_0_8_8, all_0_3_3) = all_33_1_46 & vmul(all_0_8_8, all_0_6_6) = all_33_4_49 & vmul(vd449, all_0_6_6) = all_33_3_48 & vmul(vd448, all_33_3_48) = all_33_2_47 & ( ~ (all_33_2_47 = all_33_4_49) | all_33_0_45 = all_33_1_46)
% 8.40/2.57  |
% 8.40/2.57  | Applying alpha-rule on (124) yields:
% 8.40/2.57  | (125) vmul(all_0_8_8, all_0_3_3) = all_33_1_46
% 8.40/2.57  | (126) vmul(vd448, all_33_3_48) = all_33_2_47
% 8.40/2.57  | (127) vplus(all_33_4_49, all_0_8_8) = all_33_0_45
% 8.40/2.57  | (128) vmul(vd449, all_0_6_6) = all_33_3_48
% 8.40/2.57  | (129) vmul(all_0_8_8, all_0_6_6) = all_33_4_49
% 8.40/2.57  | (130)  ~ (all_33_2_47 = all_33_4_49) | all_33_0_45 = all_33_1_46
% 8.40/2.57  |
% 8.40/2.57  | Instantiating (97) with all_35_0_50 yields:
% 8.40/2.57  | (131) vplus(all_35_0_50, all_0_8_8) = all_0_2_2 & vmul(all_0_8_8, all_0_6_6) = all_35_0_50
% 8.40/2.57  |
% 8.40/2.57  | Applying alpha-rule on (131) yields:
% 8.40/2.57  | (132) vplus(all_35_0_50, all_0_8_8) = all_0_2_2
% 8.40/2.57  | (133) vmul(all_0_8_8, all_0_6_6) = all_35_0_50
% 8.40/2.57  |
% 8.40/2.57  | Instantiating (95) with all_41_0_62, all_41_1_63, all_41_2_64, all_41_3_65, all_41_4_66, all_41_5_67, all_41_6_68 yields:
% 8.40/2.57  | (134) vplus(all_41_5_67, vd449) = all_41_3_65 & vmul(all_0_8_8, all_0_6_6) = all_41_6_68 & vmul(vd449, all_0_3_3) = all_41_1_63 & vmul(vd449, all_0_6_6) = all_41_5_67 & vmul(vd448, all_41_1_63) = all_41_0_62 & vmul(vd448, all_41_3_65) = all_41_2_64 & vmul(vd448, all_41_5_67) = all_41_4_66 & ( ~ (all_41_4_66 = all_41_6_68) | all_41_0_62 = all_41_2_64)
% 8.40/2.57  |
% 8.40/2.57  | Applying alpha-rule on (134) yields:
% 8.40/2.57  | (135) vmul(vd449, all_0_6_6) = all_41_5_67
% 8.40/2.57  | (136) vmul(vd448, all_41_3_65) = all_41_2_64
% 8.40/2.57  | (137)  ~ (all_41_4_66 = all_41_6_68) | all_41_0_62 = all_41_2_64
% 8.40/2.57  | (138) vmul(all_0_8_8, all_0_6_6) = all_41_6_68
% 8.40/2.57  | (139) vmul(vd448, all_41_1_63) = all_41_0_62
% 8.40/2.57  | (140) vplus(all_41_5_67, vd449) = all_41_3_65
% 8.40/2.57  | (141) vmul(vd449, all_0_3_3) = all_41_1_63
% 8.40/2.57  | (142) vmul(vd448, all_41_5_67) = all_41_4_66
% 8.40/2.57  |
% 8.40/2.57  | Instantiating (100) with all_45_0_74, all_45_1_75, all_45_2_76, all_45_3_77, all_45_4_78 yields:
% 8.40/2.57  | (143) vplus(all_45_3_77, all_0_8_8) = all_45_2_76 & vplus(all_45_4_78, vd449) = all_45_1_75 & vmul(vd449, all_0_3_3) = all_45_4_78 & vmul(vd448, all_45_1_75) = all_45_0_74 & vmul(vd448, all_45_4_78) = all_45_3_77 & ( ~ (all_45_3_77 = all_0_2_2) | all_45_0_74 = all_45_2_76)
% 8.40/2.57  |
% 8.40/2.57  | Applying alpha-rule on (143) yields:
% 8.40/2.57  | (144) vmul(vd448, all_45_1_75) = all_45_0_74
% 8.40/2.57  | (145)  ~ (all_45_3_77 = all_0_2_2) | all_45_0_74 = all_45_2_76
% 8.40/2.57  | (146) vplus(all_45_3_77, all_0_8_8) = all_45_2_76
% 8.40/2.57  | (147) vmul(vd449, all_0_3_3) = all_45_4_78
% 8.40/2.57  | (148) vmul(vd448, all_45_4_78) = all_45_3_77
% 8.40/2.57  | (149) vplus(all_45_4_78, vd449) = all_45_1_75
% 8.40/2.57  |
% 8.40/2.57  | Instantiating (99) with all_47_0_79, all_47_1_80, all_47_2_81, all_47_3_82, all_47_4_83 yields:
% 8.40/2.57  | (150) vsucc(all_0_3_3) = all_47_2_81 & vplus(all_0_2_2, all_0_8_8) = all_47_0_79 & vmul(all_0_8_8, all_47_2_81) = all_47_1_80 & vmul(vd449, all_0_3_3) = all_47_4_83 & vmul(vd448, all_47_4_83) = all_47_3_82 & ( ~ (all_47_3_82 = all_0_2_2) | all_47_0_79 = all_47_1_80)
% 8.40/2.57  |
% 8.40/2.57  | Applying alpha-rule on (150) yields:
% 8.40/2.57  | (151) vmul(vd449, all_0_3_3) = all_47_4_83
% 8.40/2.57  | (152) vplus(all_0_2_2, all_0_8_8) = all_47_0_79
% 8.40/2.57  | (153) vmul(all_0_8_8, all_47_2_81) = all_47_1_80
% 8.40/2.57  | (154) vsucc(all_0_3_3) = all_47_2_81
% 8.40/2.57  | (155)  ~ (all_47_3_82 = all_0_2_2) | all_47_0_79 = all_47_1_80
% 8.40/2.57  | (156) vmul(vd448, all_47_4_83) = all_47_3_82
% 8.40/2.57  |
% 8.40/2.57  | Instantiating (114) with all_51_0_89, all_51_1_90, all_51_2_91, all_51_3_92 yields:
% 8.40/2.57  | (157) vplus(all_51_2_91, all_0_8_8) = all_51_0_89 & vplus(all_51_3_92, all_0_8_8) = all_51_1_90 & vmul(all_0_8_8, all_0_6_6) = all_51_3_92 & vmul(vd448, all_0_4_4) = all_51_2_91 & ( ~ (all_51_2_91 = all_51_3_92) | all_51_0_89 = all_51_1_90)
% 8.40/2.58  |
% 8.40/2.58  | Applying alpha-rule on (157) yields:
% 8.40/2.58  | (158)  ~ (all_51_2_91 = all_51_3_92) | all_51_0_89 = all_51_1_90
% 8.40/2.58  | (159) vmul(vd448, all_0_4_4) = all_51_2_91
% 8.40/2.58  | (160) vplus(all_51_3_92, all_0_8_8) = all_51_1_90
% 8.40/2.58  | (161) vplus(all_51_2_91, all_0_8_8) = all_51_0_89
% 8.40/2.58  | (162) vmul(all_0_8_8, all_0_6_6) = all_51_3_92
% 8.40/2.58  |
% 8.40/2.58  | Instantiating (112) with all_53_0_93, all_53_1_94, all_53_2_95, all_53_3_96, all_53_4_97 yields:
% 8.40/2.58  | (163) vsucc(all_0_6_6) = all_53_2_95 & vplus(all_53_4_97, all_0_8_8) = all_53_0_93 & vmul(all_0_8_8, all_53_2_95) = all_53_1_94 & vmul(all_0_8_8, all_0_6_6) = all_53_4_97 & vmul(vd448, all_0_4_4) = all_53_3_96 & ( ~ (all_53_3_96 = all_53_4_97) | all_53_0_93 = all_53_1_94)
% 8.40/2.58  |
% 8.40/2.58  | Applying alpha-rule on (163) yields:
% 8.40/2.58  | (164) vmul(all_0_8_8, all_0_6_6) = all_53_4_97
% 8.40/2.58  | (165) vmul(vd448, all_0_4_4) = all_53_3_96
% 8.40/2.58  | (166) vsucc(all_0_6_6) = all_53_2_95
% 8.40/2.58  | (167)  ~ (all_53_3_96 = all_53_4_97) | all_53_0_93 = all_53_1_94
% 8.40/2.58  | (168) vplus(all_53_4_97, all_0_8_8) = all_53_0_93
% 8.40/2.58  | (169) vmul(all_0_8_8, all_53_2_95) = all_53_1_94
% 8.40/2.58  |
% 8.40/2.58  | Instantiating (111) with all_55_0_98, all_55_1_99, all_55_2_100, all_55_3_101, all_55_4_102, all_55_5_103, all_55_6_104 yields:
% 8.40/2.58  | (170) vsucc(all_0_6_6) = all_55_2_100 & vplus(all_0_4_4, vd449) = all_55_4_102 & vmul(all_0_8_8, all_0_6_6) = all_55_6_104 & vmul(vd449, all_55_2_100) = all_55_1_99 & vmul(vd448, all_55_1_99) = all_55_0_98 & vmul(vd448, all_55_4_102) = all_55_3_101 & vmul(vd448, all_0_4_4) = all_55_5_103 & ( ~ (all_55_5_103 = all_55_6_104) | all_55_0_98 = all_55_3_101)
% 8.40/2.58  |
% 8.40/2.58  | Applying alpha-rule on (170) yields:
% 8.40/2.58  | (171) vmul(vd449, all_55_2_100) = all_55_1_99
% 8.40/2.58  | (172) vmul(all_0_8_8, all_0_6_6) = all_55_6_104
% 8.40/2.58  | (173) vmul(vd448, all_0_4_4) = all_55_5_103
% 8.40/2.58  | (174) vsucc(all_0_6_6) = all_55_2_100
% 8.40/2.58  | (175) vmul(vd448, all_55_4_102) = all_55_3_101
% 8.40/2.58  | (176) vmul(vd448, all_55_1_99) = all_55_0_98
% 8.40/2.58  | (177)  ~ (all_55_5_103 = all_55_6_104) | all_55_0_98 = all_55_3_101
% 8.40/2.58  | (178) vplus(all_0_4_4, vd449) = all_55_4_102
% 8.79/2.58  |
% 8.79/2.58  | Instantiating (105) with all_57_0_105, all_57_1_106, all_57_2_107, all_57_3_108 yields:
% 8.79/2.58  | (179) vplus(all_57_2_107, all_0_8_8) = all_57_0_105 & vplus(all_0_5_5, all_0_8_8) = all_57_1_106 & vmul(vd449, all_0_6_6) = all_57_3_108 & vmul(vd448, all_57_3_108) = all_57_2_107 & ( ~ (all_57_2_107 = all_0_5_5) | all_57_0_105 = all_57_1_106)
% 8.79/2.58  |
% 8.79/2.58  | Applying alpha-rule on (179) yields:
% 8.79/2.58  | (180) vplus(all_57_2_107, all_0_8_8) = all_57_0_105
% 8.79/2.58  | (181) vplus(all_0_5_5, all_0_8_8) = all_57_1_106
% 8.79/2.58  | (182) vmul(vd448, all_57_3_108) = all_57_2_107
% 8.79/2.58  | (183) vmul(vd449, all_0_6_6) = all_57_3_108
% 8.79/2.58  | (184)  ~ (all_57_2_107 = all_0_5_5) | all_57_0_105 = all_57_1_106
% 8.79/2.58  |
% 8.79/2.58  | Instantiating (104) with all_59_0_109, all_59_1_110, all_59_2_111, all_59_3_112, all_59_4_113 yields:
% 8.79/2.58  | (185) vplus(all_59_3_112, all_0_8_8) = all_59_2_111 & vplus(all_59_4_113, vd449) = all_59_1_110 & vmul(vd449, all_0_6_6) = all_59_4_113 & vmul(vd448, all_59_1_110) = all_59_0_109 & vmul(vd448, all_59_4_113) = all_59_3_112 & ( ~ (all_59_3_112 = all_0_5_5) | all_59_0_109 = all_59_2_111)
% 8.79/2.58  |
% 8.79/2.58  | Applying alpha-rule on (185) yields:
% 8.79/2.58  | (186) vmul(vd448, all_59_4_113) = all_59_3_112
% 8.79/2.58  | (187)  ~ (all_59_3_112 = all_0_5_5) | all_59_0_109 = all_59_2_111
% 8.79/2.58  | (188) vplus(all_59_3_112, all_0_8_8) = all_59_2_111
% 8.79/2.58  | (189) vmul(vd449, all_0_6_6) = all_59_4_113
% 8.79/2.58  | (190) vmul(vd448, all_59_1_110) = all_59_0_109
% 8.79/2.58  | (191) vplus(all_59_4_113, vd449) = all_59_1_110
% 8.79/2.58  |
% 8.79/2.58  | Instantiating (103) with all_61_0_114, all_61_1_115, all_61_2_116, all_61_3_117, all_61_4_118 yields:
% 8.79/2.58  | (192) vsucc(all_0_6_6) = all_61_2_116 & vplus(all_0_5_5, all_0_8_8) = all_61_0_114 & vmul(all_0_8_8, all_61_2_116) = all_61_1_115 & vmul(vd449, all_0_6_6) = all_61_4_118 & vmul(vd448, all_61_4_118) = all_61_3_117 & ( ~ (all_61_3_117 = all_0_5_5) | all_61_0_114 = all_61_1_115)
% 8.79/2.58  |
% 8.79/2.58  | Applying alpha-rule on (192) yields:
% 8.79/2.58  | (193) vplus(all_0_5_5, all_0_8_8) = all_61_0_114
% 8.79/2.58  | (194) vmul(vd449, all_0_6_6) = all_61_4_118
% 8.79/2.58  | (195) vmul(all_0_8_8, all_61_2_116) = all_61_1_115
% 8.79/2.58  | (196)  ~ (all_61_3_117 = all_0_5_5) | all_61_0_114 = all_61_1_115
% 8.79/2.58  | (197) vmul(vd448, all_61_4_118) = all_61_3_117
% 8.79/2.58  | (198) vsucc(all_0_6_6) = all_61_2_116
% 8.79/2.58  |
% 8.79/2.58  | Instantiating (113) with all_63_0_119, all_63_1_120, all_63_2_121, all_63_3_122, all_63_4_123 yields:
% 8.79/2.58  | (199) vplus(all_63_3_122, all_0_8_8) = all_63_2_121 & vplus(all_0_4_4, vd449) = all_63_1_120 & vmul(all_0_8_8, all_0_6_6) = all_63_4_123 & vmul(vd448, all_63_1_120) = all_63_0_119 & vmul(vd448, all_0_4_4) = all_63_3_122 & ( ~ (all_63_3_122 = all_63_4_123) | all_63_0_119 = all_63_2_121)
% 8.79/2.58  |
% 8.79/2.58  | Applying alpha-rule on (199) yields:
% 8.79/2.58  | (200)  ~ (all_63_3_122 = all_63_4_123) | all_63_0_119 = all_63_2_121
% 8.79/2.58  | (201) vmul(all_0_8_8, all_0_6_6) = all_63_4_123
% 8.79/2.58  | (202) vmul(vd448, all_63_1_120) = all_63_0_119
% 8.79/2.58  | (203) vplus(all_63_3_122, all_0_8_8) = all_63_2_121
% 8.79/2.58  | (204) vmul(vd448, all_0_4_4) = all_63_3_122
% 8.79/2.58  | (205) vplus(all_0_4_4, vd449) = all_63_1_120
% 8.79/2.58  |
% 8.79/2.58  | Instantiating (110) with all_65_0_124, all_65_1_125, all_65_2_126, all_65_3_127 yields:
% 8.79/2.58  | (206) vplus(all_65_2_126, all_0_8_8) = all_65_0_124 & vplus(all_65_3_127, all_0_8_8) = all_65_1_125 & vmul(all_0_8_8, all_0_3_3) = all_65_3_127 & vmul(vd448, all_0_1_1) = all_65_2_126 & ( ~ (all_65_2_126 = all_65_3_127) | all_65_0_124 = all_65_1_125)
% 8.79/2.58  |
% 8.79/2.58  | Applying alpha-rule on (206) yields:
% 8.79/2.58  | (207) vplus(all_65_2_126, all_0_8_8) = all_65_0_124
% 8.79/2.58  | (208) vplus(all_65_3_127, all_0_8_8) = all_65_1_125
% 8.79/2.58  | (209) vmul(all_0_8_8, all_0_3_3) = all_65_3_127
% 8.79/2.58  | (210)  ~ (all_65_2_126 = all_65_3_127) | all_65_0_124 = all_65_1_125
% 8.79/2.58  | (211) vmul(vd448, all_0_1_1) = all_65_2_126
% 8.79/2.58  |
% 8.79/2.58  | Instantiating (101) with all_67_0_128, all_67_1_129, all_67_2_130, all_67_3_131 yields:
% 8.79/2.58  | (212) vplus(all_67_2_130, all_0_8_8) = all_67_0_128 & vplus(all_0_2_2, all_0_8_8) = all_67_1_129 & vmul(vd449, all_0_3_3) = all_67_3_131 & vmul(vd448, all_67_3_131) = all_67_2_130 & ( ~ (all_67_2_130 = all_0_2_2) | all_67_0_128 = all_67_1_129)
% 8.79/2.58  |
% 8.79/2.58  | Applying alpha-rule on (212) yields:
% 8.79/2.58  | (213) vplus(all_67_2_130, all_0_8_8) = all_67_0_128
% 8.79/2.58  | (214) vplus(all_0_2_2, all_0_8_8) = all_67_1_129
% 8.79/2.58  | (215) vmul(vd448, all_67_3_131) = all_67_2_130
% 8.79/2.58  | (216) vmul(vd449, all_0_3_3) = all_67_3_131
% 8.79/2.58  | (217)  ~ (all_67_2_130 = all_0_2_2) | all_67_0_128 = all_67_1_129
% 8.79/2.58  |
% 8.79/2.58  | Instantiating (109) with all_69_0_132, all_69_1_133, all_69_2_134, all_69_3_135, all_69_4_136 yields:
% 8.79/2.58  | (218) vplus(all_69_3_135, all_0_8_8) = all_69_2_134 & vplus(all_0_1_1, vd449) = all_69_1_133 & vmul(all_0_8_8, all_0_3_3) = all_69_4_136 & vmul(vd448, all_69_1_133) = all_69_0_132 & vmul(vd448, all_0_1_1) = all_69_3_135 & ( ~ (all_69_3_135 = all_69_4_136) | all_69_0_132 = all_69_2_134)
% 8.79/2.58  |
% 8.79/2.58  | Applying alpha-rule on (218) yields:
% 8.79/2.58  | (219) vmul(all_0_8_8, all_0_3_3) = all_69_4_136
% 8.79/2.58  | (220) vmul(vd448, all_69_1_133) = all_69_0_132
% 8.79/2.58  | (221) vmul(vd448, all_0_1_1) = all_69_3_135
% 8.79/2.58  | (222) vplus(all_0_1_1, vd449) = all_69_1_133
% 8.79/2.58  | (223)  ~ (all_69_3_135 = all_69_4_136) | all_69_0_132 = all_69_2_134
% 8.79/2.58  | (224) vplus(all_69_3_135, all_0_8_8) = all_69_2_134
% 8.79/2.58  |
% 8.79/2.58  | Instantiating (108) with all_71_0_137, all_71_1_138, all_71_2_139, all_71_3_140, all_71_4_141 yields:
% 8.79/2.58  | (225) vsucc(all_0_3_3) = all_71_2_139 & vplus(all_71_4_141, all_0_8_8) = all_71_0_137 & vmul(all_0_8_8, all_71_2_139) = all_71_1_138 & vmul(all_0_8_8, all_0_3_3) = all_71_4_141 & vmul(vd448, all_0_1_1) = all_71_3_140 & ( ~ (all_71_3_140 = all_71_4_141) | all_71_0_137 = all_71_1_138)
% 8.79/2.58  |
% 8.79/2.58  | Applying alpha-rule on (225) yields:
% 8.79/2.58  | (226) vmul(all_0_8_8, all_0_3_3) = all_71_4_141
% 8.79/2.58  | (227) vmul(vd448, all_0_1_1) = all_71_3_140
% 8.79/2.58  | (228) vmul(all_0_8_8, all_71_2_139) = all_71_1_138
% 8.79/2.58  | (229)  ~ (all_71_3_140 = all_71_4_141) | all_71_0_137 = all_71_1_138
% 8.79/2.58  | (230) vsucc(all_0_3_3) = all_71_2_139
% 8.79/2.58  | (231) vplus(all_71_4_141, all_0_8_8) = all_71_0_137
% 8.79/2.58  |
% 8.79/2.58  | Instantiating (102) with all_73_0_142, all_73_1_143, all_73_2_144, all_73_3_145, all_73_4_146, all_73_5_147, all_73_6_148 yields:
% 8.79/2.58  | (232) vsucc(all_0_6_6) = all_73_2_144 & vplus(all_73_6_148, vd449) = all_73_4_146 & vmul(vd449, all_73_2_144) = all_73_1_143 & vmul(vd449, all_0_6_6) = all_73_6_148 & vmul(vd448, all_73_1_143) = all_73_0_142 & vmul(vd448, all_73_4_146) = all_73_3_145 & vmul(vd448, all_73_6_148) = all_73_5_147 & ( ~ (all_73_5_147 = all_0_5_5) | all_73_0_142 = all_73_3_145)
% 8.79/2.58  |
% 8.79/2.58  | Applying alpha-rule on (232) yields:
% 8.79/2.58  | (233) vmul(vd448, all_73_4_146) = all_73_3_145
% 8.79/2.58  | (234) vmul(vd449, all_73_2_144) = all_73_1_143
% 8.79/2.58  | (235)  ~ (all_73_5_147 = all_0_5_5) | all_73_0_142 = all_73_3_145
% 8.79/2.58  | (236) vmul(vd448, all_73_6_148) = all_73_5_147
% 8.79/2.58  | (237) vmul(vd449, all_0_6_6) = all_73_6_148
% 8.79/2.58  | (238) vplus(all_73_6_148, vd449) = all_73_4_146
% 8.79/2.58  | (239) vmul(vd448, all_73_1_143) = all_73_0_142
% 8.79/2.58  | (240) vsucc(all_0_6_6) = all_73_2_144
% 8.79/2.58  |
% 8.79/2.58  | Instantiating (107) with all_75_0_149, all_75_1_150, all_75_2_151, all_75_3_152, all_75_4_153, all_75_5_154, all_75_6_155 yields:
% 8.79/2.58  | (241) vsucc(all_0_3_3) = all_75_2_151 & vplus(all_0_1_1, vd449) = all_75_4_153 & vmul(all_0_8_8, all_0_3_3) = all_75_6_155 & vmul(vd449, all_75_2_151) = all_75_1_150 & vmul(vd448, all_75_1_150) = all_75_0_149 & vmul(vd448, all_75_4_153) = all_75_3_152 & vmul(vd448, all_0_1_1) = all_75_5_154 & ( ~ (all_75_5_154 = all_75_6_155) | all_75_0_149 = all_75_3_152)
% 8.79/2.58  |
% 8.79/2.58  | Applying alpha-rule on (241) yields:
% 8.79/2.58  | (242) vmul(vd449, all_75_2_151) = all_75_1_150
% 8.79/2.58  | (243) vmul(vd448, all_0_1_1) = all_75_5_154
% 8.79/2.58  | (244) vsucc(all_0_3_3) = all_75_2_151
% 8.79/2.58  | (245) vmul(all_0_8_8, all_0_3_3) = all_75_6_155
% 8.79/2.59  | (246) vmul(vd448, all_75_4_153) = all_75_3_152
% 8.79/2.59  | (247)  ~ (all_75_5_154 = all_75_6_155) | all_75_0_149 = all_75_3_152
% 8.79/2.59  | (248) vmul(vd448, all_75_1_150) = all_75_0_149
% 8.79/2.59  | (249) vplus(all_0_1_1, vd449) = all_75_4_153
% 8.79/2.59  |
% 8.79/2.59  | Instantiating (106) with all_77_0_156 yields:
% 8.79/2.59  | (250) vplus(all_77_0_156, vd449) = all_0_1_1 & vmul(vd449, all_0_6_6) = all_77_0_156
% 8.79/2.59  |
% 8.79/2.59  | Applying alpha-rule on (250) yields:
% 8.79/2.59  | (251) vplus(all_77_0_156, vd449) = all_0_1_1
% 8.79/2.59  | (252) vmul(vd449, all_0_6_6) = all_77_0_156
% 8.79/2.59  |
% 8.79/2.59  | Instantiating formula (16) with all_0_6_6, all_73_2_144, all_0_3_3 and discharging atoms vsucc(all_0_6_6) = all_73_2_144, vsucc(all_0_6_6) = all_0_3_3, yields:
% 8.79/2.59  | (253) all_73_2_144 = all_0_3_3
% 8.79/2.59  |
% 8.79/2.59  | Instantiating formula (16) with all_0_6_6, all_55_2_100, all_73_2_144 and discharging atoms vsucc(all_0_6_6) = all_73_2_144, vsucc(all_0_6_6) = all_55_2_100, yields:
% 8.79/2.59  | (254) all_73_2_144 = all_55_2_100
% 8.79/2.59  |
% 8.79/2.59  | Instantiating formula (16) with all_0_6_6, all_55_2_100, all_61_2_116 and discharging atoms vsucc(all_0_6_6) = all_61_2_116, vsucc(all_0_6_6) = all_55_2_100, yields:
% 8.79/2.59  | (255) all_61_2_116 = all_55_2_100
% 8.79/2.59  |
% 8.79/2.59  | Instantiating formula (16) with all_0_6_6, all_53_2_95, all_61_2_116 and discharging atoms vsucc(all_0_6_6) = all_61_2_116, vsucc(all_0_6_6) = all_53_2_95, yields:
% 8.79/2.59  | (256) all_61_2_116 = all_53_2_95
% 8.79/2.59  |
% 8.79/2.59  | Instantiating formula (28) with all_55_4_102, all_63_1_120, vd449, all_0_4_4 and discharging atoms vplus(all_0_4_4, vd449) = all_63_1_120, vplus(all_0_4_4, vd449) = all_55_4_102, yields:
% 8.79/2.59  | (257) all_63_1_120 = all_55_4_102
% 8.79/2.59  |
% 8.79/2.59  | Instantiating formula (28) with all_57_1_106, all_61_0_114, all_0_8_8, all_0_5_5 and discharging atoms vplus(all_0_5_5, all_0_8_8) = all_61_0_114, vplus(all_0_5_5, all_0_8_8) = all_57_1_106, yields:
% 8.79/2.59  | (258) all_61_0_114 = all_57_1_106
% 8.79/2.59  |
% 8.79/2.59  | Instantiating formula (56) with all_0_8_8, all_0_3_3, all_75_6_155, all_0_2_2 and discharging atoms vmul(all_0_8_8, all_0_3_3) = all_75_6_155, vmul(all_0_8_8, all_0_3_3) = all_0_2_2, yields:
% 8.79/2.59  | (259) all_75_6_155 = all_0_2_2
% 8.79/2.59  |
% 8.79/2.59  | Instantiating formula (56) with all_0_8_8, all_0_3_3, all_71_4_141, all_75_6_155 and discharging atoms vmul(all_0_8_8, all_0_3_3) = all_75_6_155, vmul(all_0_8_8, all_0_3_3) = all_71_4_141, yields:
% 8.79/2.59  | (260) all_75_6_155 = all_71_4_141
% 8.79/2.59  |
% 8.79/2.59  | Instantiating formula (56) with all_0_8_8, all_0_3_3, all_69_4_136, all_75_6_155 and discharging atoms vmul(all_0_8_8, all_0_3_3) = all_75_6_155, vmul(all_0_8_8, all_0_3_3) = all_69_4_136, yields:
% 8.79/2.59  | (261) all_75_6_155 = all_69_4_136
% 8.79/2.59  |
% 8.79/2.59  | Instantiating formula (56) with all_0_8_8, all_0_3_3, all_65_3_127, all_75_6_155 and discharging atoms vmul(all_0_8_8, all_0_3_3) = all_75_6_155, vmul(all_0_8_8, all_0_3_3) = all_65_3_127, yields:
% 8.79/2.59  | (262) all_75_6_155 = all_65_3_127
% 8.79/2.59  |
% 8.79/2.59  | Instantiating formula (56) with all_0_8_8, all_0_3_3, all_33_1_46, all_65_3_127 and discharging atoms vmul(all_0_8_8, all_0_3_3) = all_65_3_127, vmul(all_0_8_8, all_0_3_3) = all_33_1_46, yields:
% 8.79/2.59  | (263) all_65_3_127 = all_33_1_46
% 8.79/2.59  |
% 8.79/2.59  | Instantiating formula (56) with all_0_8_8, all_0_6_6, all_55_6_104, all_63_4_123 and discharging atoms vmul(all_0_8_8, all_0_6_6) = all_63_4_123, vmul(all_0_8_8, all_0_6_6) = all_55_6_104, yields:
% 8.79/2.59  | (264) all_63_4_123 = all_55_6_104
% 8.79/2.59  |
% 8.79/2.59  | Instantiating formula (56) with all_0_8_8, all_0_6_6, all_53_4_97, all_0_5_5 and discharging atoms vmul(all_0_8_8, all_0_6_6) = all_53_4_97, vmul(all_0_8_8, all_0_6_6) = all_0_5_5, yields:
% 8.79/2.59  | (265) all_53_4_97 = all_0_5_5
% 8.79/2.59  |
% 8.79/2.59  | Instantiating formula (56) with all_0_8_8, all_0_6_6, all_51_3_92, all_55_6_104 and discharging atoms vmul(all_0_8_8, all_0_6_6) = all_55_6_104, vmul(all_0_8_8, all_0_6_6) = all_51_3_92, yields:
% 8.79/2.59  | (266) all_55_6_104 = all_51_3_92
% 8.79/2.59  |
% 8.79/2.59  | Instantiating formula (56) with all_0_8_8, all_0_6_6, all_41_6_68, all_63_4_123 and discharging atoms vmul(all_0_8_8, all_0_6_6) = all_63_4_123, vmul(all_0_8_8, all_0_6_6) = all_41_6_68, yields:
% 8.79/2.59  | (267) all_63_4_123 = all_41_6_68
% 8.79/2.59  |
% 8.79/2.59  | Instantiating formula (56) with all_0_8_8, all_0_6_6, all_35_0_50, all_53_4_97 and discharging atoms vmul(all_0_8_8, all_0_6_6) = all_53_4_97, vmul(all_0_8_8, all_0_6_6) = all_35_0_50, yields:
% 8.79/2.59  | (268) all_53_4_97 = all_35_0_50
% 8.79/2.59  |
% 8.79/2.59  | Instantiating formula (56) with all_0_8_8, all_0_6_6, all_35_0_50, all_51_3_92 and discharging atoms vmul(all_0_8_8, all_0_6_6) = all_51_3_92, vmul(all_0_8_8, all_0_6_6) = all_35_0_50, yields:
% 8.79/2.59  | (269) all_51_3_92 = all_35_0_50
% 8.79/2.59  |
% 8.79/2.59  | Instantiating formula (56) with all_0_8_8, all_0_6_6, all_33_4_49, all_51_3_92 and discharging atoms vmul(all_0_8_8, all_0_6_6) = all_51_3_92, vmul(all_0_8_8, all_0_6_6) = all_33_4_49, yields:
% 8.79/2.59  | (270) all_51_3_92 = all_33_4_49
% 8.79/2.59  |
% 8.79/2.59  | Instantiating formula (56) with vd449, all_0_3_3, all_47_4_83, all_67_3_131 and discharging atoms vmul(vd449, all_0_3_3) = all_67_3_131, vmul(vd449, all_0_3_3) = all_47_4_83, yields:
% 8.79/2.59  | (271) all_67_3_131 = all_47_4_83
% 8.79/2.59  |
% 8.79/2.59  | Instantiating formula (56) with vd449, all_0_3_3, all_45_4_78, all_0_1_1 and discharging atoms vmul(vd449, all_0_3_3) = all_45_4_78, vmul(vd449, all_0_3_3) = all_0_1_1, yields:
% 8.79/2.59  | (272) all_45_4_78 = all_0_1_1
% 8.79/2.59  |
% 8.79/2.59  | Instantiating formula (56) with vd449, all_0_3_3, all_45_4_78, all_47_4_83 and discharging atoms vmul(vd449, all_0_3_3) = all_47_4_83, vmul(vd449, all_0_3_3) = all_45_4_78, yields:
% 8.79/2.59  | (273) all_47_4_83 = all_45_4_78
% 8.79/2.59  |
% 8.79/2.59  | Instantiating formula (56) with vd449, all_0_3_3, all_41_1_63, all_45_4_78 and discharging atoms vmul(vd449, all_0_3_3) = all_45_4_78, vmul(vd449, all_0_3_3) = all_41_1_63, yields:
% 8.79/2.59  | (274) all_45_4_78 = all_41_1_63
% 8.79/2.59  |
% 8.79/2.59  | Instantiating formula (56) with vd449, all_0_3_3, all_31_6_44, all_67_3_131 and discharging atoms vmul(vd449, all_0_3_3) = all_67_3_131, vmul(vd449, all_0_3_3) = all_31_6_44, yields:
% 8.79/2.59  | (275) all_67_3_131 = all_31_6_44
% 8.79/2.59  |
% 8.79/2.59  | Instantiating formula (56) with vd449, all_0_6_6, all_61_4_118, all_0_4_4 and discharging atoms vmul(vd449, all_0_6_6) = all_61_4_118, vmul(vd449, all_0_6_6) = all_0_4_4, yields:
% 8.79/2.59  | (276) all_61_4_118 = all_0_4_4
% 8.79/2.59  |
% 8.79/2.59  | Instantiating formula (56) with vd449, all_0_6_6, all_59_4_113, all_77_0_156 and discharging atoms vmul(vd449, all_0_6_6) = all_77_0_156, vmul(vd449, all_0_6_6) = all_59_4_113, yields:
% 8.79/2.59  | (277) all_77_0_156 = all_59_4_113
% 8.79/2.59  |
% 8.79/2.59  | Instantiating formula (56) with vd449, all_0_6_6, all_59_4_113, all_73_6_148 and discharging atoms vmul(vd449, all_0_6_6) = all_73_6_148, vmul(vd449, all_0_6_6) = all_59_4_113, yields:
% 8.79/2.59  | (278) all_73_6_148 = all_59_4_113
% 8.79/2.59  |
% 8.79/2.59  | Instantiating formula (56) with vd449, all_0_6_6, all_57_3_108, all_73_6_148 and discharging atoms vmul(vd449, all_0_6_6) = all_73_6_148, vmul(vd449, all_0_6_6) = all_57_3_108, yields:
% 8.79/2.59  | (279) all_73_6_148 = all_57_3_108
% 8.79/2.59  |
% 8.79/2.59  | Instantiating formula (56) with vd449, all_0_6_6, all_41_5_67, all_61_4_118 and discharging atoms vmul(vd449, all_0_6_6) = all_61_4_118, vmul(vd449, all_0_6_6) = all_41_5_67, yields:
% 8.79/2.59  | (280) all_61_4_118 = all_41_5_67
% 8.79/2.59  |
% 8.79/2.59  | Instantiating formula (56) with vd449, all_0_6_6, all_41_5_67, all_59_4_113 and discharging atoms vmul(vd449, all_0_6_6) = all_59_4_113, vmul(vd449, all_0_6_6) = all_41_5_67, yields:
% 8.79/2.59  | (281) all_59_4_113 = all_41_5_67
% 8.79/2.59  |
% 8.79/2.59  | Instantiating formula (56) with vd449, all_0_6_6, all_33_3_48, all_77_0_156 and discharging atoms vmul(vd449, all_0_6_6) = all_77_0_156, vmul(vd449, all_0_6_6) = all_33_3_48, yields:
% 8.79/2.59  | (282) all_77_0_156 = all_33_3_48
% 8.79/2.59  |
% 8.79/2.59  | Instantiating formula (56) with vd448, all_0_1_1, all_71_3_140, all_0_0_0 and discharging atoms vmul(vd448, all_0_1_1) = all_71_3_140, vmul(vd448, all_0_1_1) = all_0_0_0, yields:
% 8.79/2.59  | (283) all_71_3_140 = all_0_0_0
% 8.79/2.59  |
% 8.79/2.59  | Instantiating formula (56) with vd448, all_0_1_1, all_71_3_140, all_75_5_154 and discharging atoms vmul(vd448, all_0_1_1) = all_75_5_154, vmul(vd448, all_0_1_1) = all_71_3_140, yields:
% 8.79/2.59  | (284) all_75_5_154 = all_71_3_140
% 8.79/2.59  |
% 8.79/2.59  | Instantiating formula (56) with vd448, all_0_1_1, all_69_3_135, all_71_3_140 and discharging atoms vmul(vd448, all_0_1_1) = all_71_3_140, vmul(vd448, all_0_1_1) = all_69_3_135, yields:
% 8.79/2.59  | (285) all_71_3_140 = all_69_3_135
% 8.79/2.59  |
% 8.79/2.59  | Instantiating formula (56) with vd448, all_0_1_1, all_65_2_126, all_75_5_154 and discharging atoms vmul(vd448, all_0_1_1) = all_75_5_154, vmul(vd448, all_0_1_1) = all_65_2_126, yields:
% 8.79/2.59  | (286) all_75_5_154 = all_65_2_126
% 8.79/2.59  |
% 8.79/2.59  | Instantiating formula (56) with vd448, all_0_4_4, all_63_3_122, all_0_5_5 and discharging atoms vmul(vd448, all_0_4_4) = all_63_3_122, vmul(vd448, all_0_4_4) = all_0_5_5, yields:
% 8.79/2.59  | (287) all_63_3_122 = all_0_5_5
% 8.79/2.59  |
% 8.79/2.59  | Instantiating formula (56) with vd448, all_0_4_4, all_55_5_103, all_63_3_122 and discharging atoms vmul(vd448, all_0_4_4) = all_63_3_122, vmul(vd448, all_0_4_4) = all_55_5_103, yields:
% 8.79/2.59  | (288) all_63_3_122 = all_55_5_103
% 8.79/2.59  |
% 8.79/2.59  | Instantiating formula (56) with vd448, all_0_4_4, all_53_3_96, all_55_5_103 and discharging atoms vmul(vd448, all_0_4_4) = all_55_5_103, vmul(vd448, all_0_4_4) = all_53_3_96, yields:
% 8.79/2.59  | (289) all_55_5_103 = all_53_3_96
% 8.79/2.59  |
% 8.79/2.59  | Instantiating formula (56) with vd448, all_0_4_4, all_51_2_91, all_53_3_96 and discharging atoms vmul(vd448, all_0_4_4) = all_53_3_96, vmul(vd448, all_0_4_4) = all_51_2_91, yields:
% 8.79/2.59  | (290) all_53_3_96 = all_51_2_91
% 8.79/2.59  |
% 8.79/2.59  | Combining equations (277,282) yields a new equation:
% 8.79/2.59  | (291) all_59_4_113 = all_33_3_48
% 8.79/2.59  |
% 8.79/2.59  | Simplifying 291 yields:
% 8.79/2.59  | (292) all_59_4_113 = all_33_3_48
% 8.79/2.59  |
% 8.79/2.59  | Combining equations (284,286) yields a new equation:
% 8.79/2.59  | (293) all_71_3_140 = all_65_2_126
% 8.79/2.59  |
% 8.79/2.59  | Simplifying 293 yields:
% 8.79/2.59  | (294) all_71_3_140 = all_65_2_126
% 8.79/2.59  |
% 8.79/2.59  | Combining equations (261,260) yields a new equation:
% 8.79/2.59  | (295) all_71_4_141 = all_69_4_136
% 8.79/2.59  |
% 8.79/2.59  | Combining equations (259,260) yields a new equation:
% 8.79/2.59  | (296) all_71_4_141 = all_0_2_2
% 8.79/2.59  |
% 8.79/2.59  | Combining equations (262,260) yields a new equation:
% 8.79/2.59  | (297) all_71_4_141 = all_65_3_127
% 8.79/2.59  |
% 8.79/2.59  | Combining equations (254,253) yields a new equation:
% 8.79/2.59  | (298) all_55_2_100 = all_0_3_3
% 8.79/2.59  |
% 8.79/2.59  | Simplifying 298 yields:
% 8.79/2.59  | (299) all_55_2_100 = all_0_3_3
% 8.79/2.59  |
% 8.79/2.59  | Combining equations (278,279) yields a new equation:
% 8.79/2.59  | (300) all_59_4_113 = all_57_3_108
% 8.79/2.59  |
% 8.79/2.59  | Simplifying 300 yields:
% 8.79/2.59  | (301) all_59_4_113 = all_57_3_108
% 8.79/2.59  |
% 8.79/2.59  | Combining equations (283,285) yields a new equation:
% 8.79/2.59  | (302) all_69_3_135 = all_0_0_0
% 8.79/2.59  |
% 8.79/2.59  | Combining equations (294,285) yields a new equation:
% 8.79/2.59  | (303) all_69_3_135 = all_65_2_126
% 8.79/2.60  |
% 8.79/2.60  | Combining equations (297,295) yields a new equation:
% 8.79/2.60  | (304) all_69_4_136 = all_65_3_127
% 8.79/2.60  |
% 8.79/2.60  | Combining equations (296,295) yields a new equation:
% 8.79/2.60  | (305) all_69_4_136 = all_0_2_2
% 8.79/2.60  |
% 8.79/2.60  | Combining equations (303,302) yields a new equation:
% 8.79/2.60  | (306) all_65_2_126 = all_0_0_0
% 8.79/2.60  |
% 8.79/2.60  | Simplifying 306 yields:
% 8.79/2.60  | (307) all_65_2_126 = all_0_0_0
% 8.79/2.60  |
% 8.79/2.60  | Combining equations (304,305) yields a new equation:
% 8.79/2.60  | (308) all_65_3_127 = all_0_2_2
% 8.79/2.60  |
% 8.79/2.60  | Simplifying 308 yields:
% 8.79/2.60  | (309) all_65_3_127 = all_0_2_2
% 8.79/2.60  |
% 8.79/2.60  | Combining equations (271,275) yields a new equation:
% 8.79/2.60  | (310) all_47_4_83 = all_31_6_44
% 8.79/2.60  |
% 8.79/2.60  | Simplifying 310 yields:
% 8.79/2.60  | (311) all_47_4_83 = all_31_6_44
% 8.79/2.60  |
% 8.79/2.60  | Combining equations (263,309) yields a new equation:
% 8.79/2.60  | (312) all_33_1_46 = all_0_2_2
% 8.79/2.60  |
% 8.79/2.60  | Simplifying 312 yields:
% 8.79/2.60  | (313) all_33_1_46 = all_0_2_2
% 8.79/2.60  |
% 8.79/2.60  | Combining equations (288,287) yields a new equation:
% 8.79/2.60  | (314) all_55_5_103 = all_0_5_5
% 8.79/2.60  |
% 8.79/2.60  | Simplifying 314 yields:
% 8.79/2.60  | (315) all_55_5_103 = all_0_5_5
% 8.79/2.60  |
% 8.79/2.60  | Combining equations (264,267) yields a new equation:
% 8.79/2.60  | (316) all_55_6_104 = all_41_6_68
% 8.79/2.60  |
% 8.79/2.60  | Simplifying 316 yields:
% 8.79/2.60  | (317) all_55_6_104 = all_41_6_68
% 8.79/2.60  |
% 8.79/2.60  | Combining equations (255,256) yields a new equation:
% 8.79/2.60  | (318) all_55_2_100 = all_53_2_95
% 8.79/2.60  |
% 8.79/2.60  | Simplifying 318 yields:
% 8.79/2.60  | (319) all_55_2_100 = all_53_2_95
% 8.79/2.60  |
% 8.79/2.60  | Combining equations (280,276) yields a new equation:
% 8.79/2.60  | (320) all_41_5_67 = all_0_4_4
% 8.79/2.60  |
% 8.79/2.60  | Simplifying 320 yields:
% 8.79/2.60  | (321) all_41_5_67 = all_0_4_4
% 8.79/2.60  |
% 8.79/2.60  | Combining equations (281,301) yields a new equation:
% 8.79/2.60  | (322) all_57_3_108 = all_41_5_67
% 8.79/2.60  |
% 8.79/2.60  | Combining equations (292,301) yields a new equation:
% 8.79/2.60  | (323) all_57_3_108 = all_33_3_48
% 8.79/2.60  |
% 8.79/2.60  | Combining equations (322,323) yields a new equation:
% 8.79/2.60  | (324) all_41_5_67 = all_33_3_48
% 8.79/2.60  |
% 8.79/2.60  | Simplifying 324 yields:
% 8.79/2.60  | (325) all_41_5_67 = all_33_3_48
% 8.79/2.60  |
% 8.79/2.60  | Combining equations (319,299) yields a new equation:
% 8.79/2.60  | (326) all_53_2_95 = all_0_3_3
% 8.79/2.60  |
% 8.79/2.60  | Simplifying 326 yields:
% 8.79/2.60  | (327) all_53_2_95 = all_0_3_3
% 8.79/2.60  |
% 8.79/2.60  | Combining equations (289,315) yields a new equation:
% 8.79/2.60  | (328) all_53_3_96 = all_0_5_5
% 8.79/2.60  |
% 8.79/2.60  | Simplifying 328 yields:
% 8.79/2.60  | (329) all_53_3_96 = all_0_5_5
% 8.79/2.60  |
% 8.79/2.60  | Combining equations (266,317) yields a new equation:
% 8.79/2.60  | (330) all_51_3_92 = all_41_6_68
% 8.79/2.60  |
% 8.79/2.60  | Simplifying 330 yields:
% 8.79/2.60  | (331) all_51_3_92 = all_41_6_68
% 8.79/2.60  |
% 8.79/2.60  | Combining equations (290,329) yields a new equation:
% 8.79/2.60  | (332) all_51_2_91 = all_0_5_5
% 8.79/2.60  |
% 8.79/2.60  | Simplifying 332 yields:
% 8.79/2.60  | (333) all_51_2_91 = all_0_5_5
% 8.79/2.60  |
% 8.79/2.60  | Combining equations (268,265) yields a new equation:
% 8.79/2.60  | (334) all_35_0_50 = all_0_5_5
% 8.79/2.60  |
% 8.79/2.60  | Simplifying 334 yields:
% 8.79/2.60  | (335) all_35_0_50 = all_0_5_5
% 8.79/2.60  |
% 8.79/2.60  | Combining equations (270,331) yields a new equation:
% 8.79/2.60  | (336) all_41_6_68 = all_33_4_49
% 8.79/2.60  |
% 8.79/2.60  | Combining equations (269,331) yields a new equation:
% 8.79/2.60  | (337) all_41_6_68 = all_35_0_50
% 8.79/2.60  |
% 8.79/2.60  | Combining equations (273,311) yields a new equation:
% 8.79/2.60  | (338) all_45_4_78 = all_31_6_44
% 8.79/2.60  |
% 8.79/2.60  | Simplifying 338 yields:
% 8.79/2.60  | (339) all_45_4_78 = all_31_6_44
% 8.79/2.60  |
% 8.79/2.60  | Combining equations (272,274) yields a new equation:
% 8.79/2.60  | (340) all_41_1_63 = all_0_1_1
% 8.79/2.60  |
% 8.79/2.60  | Combining equations (339,274) yields a new equation:
% 8.79/2.60  | (341) all_41_1_63 = all_31_6_44
% 8.79/2.60  |
% 8.79/2.60  | Combining equations (340,341) yields a new equation:
% 8.79/2.60  | (342) all_31_6_44 = all_0_1_1
% 8.79/2.60  |
% 8.79/2.60  | Combining equations (321,325) yields a new equation:
% 8.79/2.60  | (343) all_33_3_48 = all_0_4_4
% 8.79/2.60  |
% 8.79/2.60  | Combining equations (337,336) yields a new equation:
% 8.79/2.60  | (344) all_35_0_50 = all_33_4_49
% 8.79/2.60  |
% 8.79/2.60  | Simplifying 344 yields:
% 8.79/2.60  | (345) all_35_0_50 = all_33_4_49
% 8.79/2.60  |
% 8.79/2.60  | Combining equations (335,345) yields a new equation:
% 8.79/2.60  | (346) all_33_4_49 = all_0_5_5
% 8.79/2.60  |
% 8.79/2.60  | Combining equations (346,336) yields a new equation:
% 8.79/2.60  | (347) all_41_6_68 = all_0_5_5
% 8.79/2.60  |
% 8.79/2.60  | Combining equations (343,325) yields a new equation:
% 8.79/2.60  | (321) all_41_5_67 = all_0_4_4
% 8.79/2.60  |
% 8.79/2.60  | Combining equations (342,341) yields a new equation:
% 8.79/2.60  | (340) all_41_1_63 = all_0_1_1
% 8.79/2.60  |
% 8.79/2.60  | Combining equations (340,274) yields a new equation:
% 8.79/2.60  | (272) all_45_4_78 = all_0_1_1
% 8.79/2.60  |
% 8.79/2.60  | Combining equations (342,311) yields a new equation:
% 8.79/2.60  | (351) all_47_4_83 = all_0_1_1
% 8.79/2.60  |
% 8.79/2.60  | Combining equations (347,331) yields a new equation:
% 8.79/2.60  | (352) all_51_3_92 = all_0_5_5
% 8.79/2.60  |
% 8.79/2.60  | Combining equations (343,323) yields a new equation:
% 8.79/2.60  | (353) all_57_3_108 = all_0_4_4
% 8.79/2.60  |
% 8.79/2.60  | Combining equations (353,301) yields a new equation:
% 8.79/2.60  | (354) all_59_4_113 = all_0_4_4
% 8.79/2.60  |
% 8.79/2.60  | Combining equations (327,256) yields a new equation:
% 8.79/2.60  | (355) all_61_2_116 = all_0_3_3
% 8.79/2.60  |
% 8.79/2.60  | Combining equations (347,267) yields a new equation:
% 8.79/2.60  | (356) all_63_4_123 = all_0_5_5
% 8.79/2.60  |
% 8.79/2.60  | Combining equations (342,275) yields a new equation:
% 8.79/2.60  | (357) all_67_3_131 = all_0_1_1
% 8.79/2.60  |
% 8.79/2.60  | Combining equations (353,279) yields a new equation:
% 8.79/2.60  | (358) all_73_6_148 = all_0_4_4
% 8.79/2.60  |
% 8.79/2.60  | Combining equations (343,282) yields a new equation:
% 8.79/2.60  | (359) all_77_0_156 = all_0_4_4
% 8.79/2.60  |
% 8.79/2.60  | From (359) and (251) follows:
% 8.79/2.60  | (360) vplus(all_0_4_4, vd449) = all_0_1_1
% 8.79/2.60  |
% 8.79/2.60  | From (358) and (238) follows:
% 8.79/2.60  | (361) vplus(all_0_4_4, vd449) = all_73_4_146
% 8.79/2.60  |
% 8.79/2.60  | From (287) and (203) follows:
% 8.79/2.60  | (362) vplus(all_0_5_5, all_0_8_8) = all_63_2_121
% 8.79/2.60  |
% 8.79/2.60  | From (354) and (191) follows:
% 8.79/2.60  | (363) vplus(all_0_4_4, vd449) = all_59_1_110
% 8.79/2.60  |
% 8.79/2.60  | From (265) and (168) follows:
% 8.79/2.60  | (364) vplus(all_0_5_5, all_0_8_8) = all_53_0_93
% 8.79/2.60  |
% 8.79/2.60  | From (333) and (161) follows:
% 8.79/2.60  | (365) vplus(all_0_5_5, all_0_8_8) = all_51_0_89
% 8.79/2.60  |
% 8.79/2.60  | From (321) and (140) follows:
% 8.79/2.60  | (366) vplus(all_0_4_4, vd449) = all_41_3_65
% 8.79/2.60  |
% 8.79/2.60  | From (346) and (127) follows:
% 8.79/2.60  | (367) vplus(all_0_5_5, all_0_8_8) = all_33_0_45
% 8.79/2.60  |
% 8.79/2.60  | From (257) and (205) follows:
% 8.79/2.60  | (178) vplus(all_0_4_4, vd449) = all_55_4_102
% 8.79/2.60  |
% 8.79/2.60  | From (258) and (193) follows:
% 8.79/2.60  | (181) vplus(all_0_5_5, all_0_8_8) = all_57_1_106
% 8.79/2.60  |
% 8.79/2.60  | From (355) and (195) follows:
% 8.79/2.60  | (370) vmul(all_0_8_8, all_0_3_3) = all_61_1_115
% 8.79/2.60  |
% 8.79/2.60  | From (327) and (169) follows:
% 8.79/2.60  | (371) vmul(all_0_8_8, all_0_3_3) = all_53_1_94
% 8.79/2.60  |
% 8.79/2.60  | From (313) and (125) follows:
% 8.79/2.60  | (57) vmul(all_0_8_8, all_0_3_3) = all_0_2_2
% 8.79/2.60  |
% 8.79/2.60  | From (253) and (234) follows:
% 8.79/2.60  | (373) vmul(vd449, all_0_3_3) = all_73_1_143
% 8.79/2.60  |
% 8.79/2.60  | From (342) and (120) follows:
% 8.79/2.60  | (64) vmul(vd449, all_0_3_3) = all_0_1_1
% 8.79/2.60  |
% 8.79/2.60  | From (358) and (236) follows:
% 8.79/2.60  | (375) vmul(vd448, all_0_4_4) = all_73_5_147
% 8.79/2.60  |
% 8.79/2.60  | From (357) and (215) follows:
% 8.79/2.60  | (376) vmul(vd448, all_0_1_1) = all_67_2_130
% 8.79/2.60  |
% 8.79/2.60  | From (257) and (202) follows:
% 8.79/2.60  | (377) vmul(vd448, all_55_4_102) = all_63_0_119
% 8.79/2.60  |
% 8.79/2.60  | From (276) and (197) follows:
% 8.79/2.60  | (378) vmul(vd448, all_0_4_4) = all_61_3_117
% 8.79/2.60  |
% 8.79/2.60  | From (354) and (186) follows:
% 8.79/2.60  | (379) vmul(vd448, all_0_4_4) = all_59_3_112
% 8.79/2.60  |
% 8.79/2.60  | From (353) and (182) follows:
% 8.79/2.60  | (380) vmul(vd448, all_0_4_4) = all_57_2_107
% 8.79/2.60  |
% 8.79/2.60  | From (351) and (156) follows:
% 8.79/2.60  | (381) vmul(vd448, all_0_1_1) = all_47_3_82
% 8.79/2.60  |
% 8.79/2.60  | From (272) and (148) follows:
% 8.79/2.60  | (382) vmul(vd448, all_0_1_1) = all_45_3_77
% 8.79/2.61  |
% 8.79/2.61  | From (340) and (139) follows:
% 8.79/2.61  | (383) vmul(vd448, all_0_1_1) = all_41_0_62
% 8.79/2.61  |
% 8.79/2.61  | From (321) and (142) follows:
% 8.79/2.61  | (384) vmul(vd448, all_0_4_4) = all_41_4_66
% 8.79/2.61  |
% 8.79/2.61  | From (342) and (117) follows:
% 8.79/2.61  | (385) vmul(vd448, all_0_1_1) = all_31_5_43
% 8.79/2.61  |
% 8.79/2.61  | From (307) and (211) follows:
% 8.79/2.61  | (61) vmul(vd448, all_0_1_1) = all_0_0_0
% 8.79/2.61  |
% 8.79/2.61  | From (333) and (159) follows:
% 8.79/2.61  | (72) vmul(vd448, all_0_4_4) = all_0_5_5
% 8.79/2.61  |
% 8.79/2.61  +-Applying beta-rule and splitting (167), into two cases.
% 8.79/2.61  |-Branch one:
% 8.79/2.61  | (388)  ~ (all_53_3_96 = all_53_4_97)
% 8.79/2.61  |
% 8.79/2.61  	| Equations (329,265) can reduce 388 to:
% 8.79/2.61  	| (389) $false
% 8.79/2.61  	|
% 8.79/2.61  	|-The branch is then unsatisfiable
% 8.79/2.61  |-Branch two:
% 8.79/2.61  | (390) all_53_3_96 = all_53_4_97
% 8.79/2.61  | (391) all_53_0_93 = all_53_1_94
% 8.79/2.61  |
% 8.79/2.61  	| From (391) and (364) follows:
% 8.79/2.61  	| (392) vplus(all_0_5_5, all_0_8_8) = all_53_1_94
% 8.79/2.61  	|
% 8.79/2.61  	+-Applying beta-rule and splitting (200), into two cases.
% 8.79/2.61  	|-Branch one:
% 8.79/2.61  	| (393)  ~ (all_63_3_122 = all_63_4_123)
% 8.79/2.61  	|
% 8.79/2.61  		| Equations (287,356) can reduce 393 to:
% 8.79/2.61  		| (389) $false
% 8.79/2.61  		|
% 8.79/2.61  		|-The branch is then unsatisfiable
% 8.79/2.61  	|-Branch two:
% 8.79/2.61  	| (395) all_63_3_122 = all_63_4_123
% 8.79/2.61  	| (396) all_63_0_119 = all_63_2_121
% 8.79/2.61  	|
% 8.79/2.61  		| From (396) and (377) follows:
% 8.79/2.61  		| (397) vmul(vd448, all_55_4_102) = all_63_2_121
% 8.79/2.61  		|
% 8.79/2.61  		+-Applying beta-rule and splitting (158), into two cases.
% 8.79/2.61  		|-Branch one:
% 8.79/2.61  		| (398)  ~ (all_51_2_91 = all_51_3_92)
% 8.79/2.61  		|
% 8.79/2.61  			| Equations (333,352) can reduce 398 to:
% 8.79/2.61  			| (389) $false
% 8.79/2.61  			|
% 8.79/2.61  			|-The branch is then unsatisfiable
% 8.79/2.61  		|-Branch two:
% 8.79/2.61  		| (400) all_51_2_91 = all_51_3_92
% 8.79/2.61  		| (401) all_51_0_89 = all_51_1_90
% 8.79/2.61  		|
% 8.79/2.61  			| From (401) and (365) follows:
% 8.79/2.61  			| (402) vplus(all_0_5_5, all_0_8_8) = all_51_1_90
% 8.79/2.61  			|
% 8.79/2.61  			| Instantiating formula (28) with all_59_1_110, all_55_4_102, vd449, all_0_4_4 and discharging atoms vplus(all_0_4_4, vd449) = all_59_1_110, vplus(all_0_4_4, vd449) = all_55_4_102, yields:
% 8.79/2.61  			| (403) all_59_1_110 = all_55_4_102
% 8.79/2.61  			|
% 8.79/2.61  			| Instantiating formula (28) with all_59_1_110, all_73_4_146, vd449, all_0_4_4 and discharging atoms vplus(all_0_4_4, vd449) = all_73_4_146, vplus(all_0_4_4, vd449) = all_59_1_110, yields:
% 8.79/2.61  			| (404) all_73_4_146 = all_59_1_110
% 8.79/2.61  			|
% 8.79/2.61  			| Instantiating formula (28) with all_41_3_65, all_55_4_102, vd449, all_0_4_4 and discharging atoms vplus(all_0_4_4, vd449) = all_55_4_102, vplus(all_0_4_4, vd449) = all_41_3_65, yields:
% 8.79/2.61  			| (405) all_55_4_102 = all_41_3_65
% 8.79/2.61  			|
% 8.79/2.61  			| Instantiating formula (28) with all_0_1_1, all_73_4_146, vd449, all_0_4_4 and discharging atoms vplus(all_0_4_4, vd449) = all_73_4_146, vplus(all_0_4_4, vd449) = all_0_1_1, yields:
% 8.79/2.61  			| (406) all_73_4_146 = all_0_1_1
% 8.79/2.61  			|
% 8.79/2.61  			| Instantiating formula (28) with all_63_2_121, all_57_1_106, all_0_8_8, all_0_5_5 and discharging atoms vplus(all_0_5_5, all_0_8_8) = all_63_2_121, vplus(all_0_5_5, all_0_8_8) = all_57_1_106, yields:
% 8.79/2.61  			| (407) all_63_2_121 = all_57_1_106
% 8.79/2.61  			|
% 8.79/2.61  			| Instantiating formula (28) with all_53_1_94, all_57_1_106, all_0_8_8, all_0_5_5 and discharging atoms vplus(all_0_5_5, all_0_8_8) = all_57_1_106, vplus(all_0_5_5, all_0_8_8) = all_53_1_94, yields:
% 8.79/2.61  			| (408) all_57_1_106 = all_53_1_94
% 8.79/2.61  			|
% 8.79/2.61  			| Instantiating formula (28) with all_51_1_90, all_57_1_106, all_0_8_8, all_0_5_5 and discharging atoms vplus(all_0_5_5, all_0_8_8) = all_57_1_106, vplus(all_0_5_5, all_0_8_8) = all_51_1_90, yields:
% 8.79/2.61  			| (409) all_57_1_106 = all_51_1_90
% 8.79/2.61  			|
% 8.79/2.61  			| Instantiating formula (28) with all_33_0_45, all_63_2_121, all_0_8_8, all_0_5_5 and discharging atoms vplus(all_0_5_5, all_0_8_8) = all_63_2_121, vplus(all_0_5_5, all_0_8_8) = all_33_0_45, yields:
% 8.79/2.61  			| (410) all_63_2_121 = all_33_0_45
% 8.79/2.61  			|
% 8.79/2.61  			| Instantiating formula (56) with all_0_8_8, all_0_3_3, all_61_1_115, all_0_2_2 and discharging atoms vmul(all_0_8_8, all_0_3_3) = all_61_1_115, vmul(all_0_8_8, all_0_3_3) = all_0_2_2, yields:
% 8.79/2.61  			| (411) all_61_1_115 = all_0_2_2
% 8.79/2.61  			|
% 8.79/2.61  			| Instantiating formula (56) with all_0_8_8, all_0_3_3, all_53_1_94, all_61_1_115 and discharging atoms vmul(all_0_8_8, all_0_3_3) = all_61_1_115, vmul(all_0_8_8, all_0_3_3) = all_53_1_94, yields:
% 8.79/2.61  			| (412) all_61_1_115 = all_53_1_94
% 8.79/2.61  			|
% 8.79/2.61  			| Instantiating formula (56) with vd449, all_0_3_3, all_73_1_143, all_0_1_1 and discharging atoms vmul(vd449, all_0_3_3) = all_73_1_143, vmul(vd449, all_0_3_3) = all_0_1_1, yields:
% 8.79/2.61  			| (413) all_73_1_143 = all_0_1_1
% 8.79/2.61  			|
% 8.79/2.61  			| Instantiating formula (56) with vd448, all_55_4_102, all_63_2_121, all_55_3_101 and discharging atoms vmul(vd448, all_55_4_102) = all_63_2_121, vmul(vd448, all_55_4_102) = all_55_3_101, yields:
% 8.79/2.61  			| (414) all_63_2_121 = all_55_3_101
% 8.79/2.61  			|
% 8.79/2.61  			| Instantiating formula (56) with vd448, all_0_1_1, all_47_3_82, all_67_2_130 and discharging atoms vmul(vd448, all_0_1_1) = all_67_2_130, vmul(vd448, all_0_1_1) = all_47_3_82, yields:
% 8.79/2.61  			| (415) all_67_2_130 = all_47_3_82
% 8.79/2.61  			|
% 8.79/2.61  			| Instantiating formula (56) with vd448, all_0_1_1, all_45_3_77, all_0_0_0 and discharging atoms vmul(vd448, all_0_1_1) = all_45_3_77, vmul(vd448, all_0_1_1) = all_0_0_0, yields:
% 8.79/2.61  			| (416) all_45_3_77 = all_0_0_0
% 8.79/2.61  			|
% 8.79/2.61  			| Instantiating formula (56) with vd448, all_0_1_1, all_41_0_62, all_47_3_82 and discharging atoms vmul(vd448, all_0_1_1) = all_47_3_82, vmul(vd448, all_0_1_1) = all_41_0_62, yields:
% 8.79/2.61  			| (417) all_47_3_82 = all_41_0_62
% 8.79/2.61  			|
% 8.79/2.61  			| Instantiating formula (56) with vd448, all_0_1_1, all_41_0_62, all_45_3_77 and discharging atoms vmul(vd448, all_0_1_1) = all_45_3_77, vmul(vd448, all_0_1_1) = all_41_0_62, yields:
% 8.79/2.61  			| (418) all_45_3_77 = all_41_0_62
% 8.79/2.61  			|
% 8.79/2.61  			| Instantiating formula (56) with vd448, all_0_1_1, all_31_5_43, all_67_2_130 and discharging atoms vmul(vd448, all_0_1_1) = all_67_2_130, vmul(vd448, all_0_1_1) = all_31_5_43, yields:
% 8.79/2.61  			| (419) all_67_2_130 = all_31_5_43
% 8.79/2.61  			|
% 8.79/2.61  			| Instantiating formula (56) with vd448, all_0_4_4, all_73_5_147, all_0_5_5 and discharging atoms vmul(vd448, all_0_4_4) = all_73_5_147, vmul(vd448, all_0_4_4) = all_0_5_5, yields:
% 8.79/2.61  			| (420) all_73_5_147 = all_0_5_5
% 8.79/2.61  			|
% 8.79/2.61  			| Instantiating formula (56) with vd448, all_0_4_4, all_61_3_117, all_73_5_147 and discharging atoms vmul(vd448, all_0_4_4) = all_73_5_147, vmul(vd448, all_0_4_4) = all_61_3_117, yields:
% 8.79/2.61  			| (421) all_73_5_147 = all_61_3_117
% 8.79/2.61  			|
% 8.79/2.61  			| Instantiating formula (56) with vd448, all_0_4_4, all_59_3_112, all_61_3_117 and discharging atoms vmul(vd448, all_0_4_4) = all_61_3_117, vmul(vd448, all_0_4_4) = all_59_3_112, yields:
% 8.79/2.61  			| (422) all_61_3_117 = all_59_3_112
% 8.79/2.61  			|
% 8.79/2.61  			| Instantiating formula (56) with vd448, all_0_4_4, all_57_2_107, all_59_3_112 and discharging atoms vmul(vd448, all_0_4_4) = all_59_3_112, vmul(vd448, all_0_4_4) = all_57_2_107, yields:
% 8.79/2.61  			| (423) all_59_3_112 = all_57_2_107
% 8.79/2.61  			|
% 8.79/2.61  			| Instantiating formula (56) with vd448, all_0_4_4, all_41_4_66, all_57_2_107 and discharging atoms vmul(vd448, all_0_4_4) = all_57_2_107, vmul(vd448, all_0_4_4) = all_41_4_66, yields:
% 8.79/2.61  			| (424) all_57_2_107 = all_41_4_66
% 8.79/2.61  			|
% 8.79/2.61  			| Combining equations (404,406) yields a new equation:
% 8.79/2.61  			| (425) all_59_1_110 = all_0_1_1
% 8.79/2.61  			|
% 8.79/2.61  			| Simplifying 425 yields:
% 8.79/2.61  			| (426) all_59_1_110 = all_0_1_1
% 8.79/2.61  			|
% 8.79/2.61  			| Combining equations (421,420) yields a new equation:
% 8.79/2.61  			| (427) all_61_3_117 = all_0_5_5
% 8.79/2.61  			|
% 8.79/2.61  			| Simplifying 427 yields:
% 8.79/2.61  			| (428) all_61_3_117 = all_0_5_5
% 8.79/2.61  			|
% 8.79/2.61  			| Combining equations (415,419) yields a new equation:
% 8.79/2.61  			| (429) all_47_3_82 = all_31_5_43
% 8.79/2.61  			|
% 8.79/2.61  			| Simplifying 429 yields:
% 8.79/2.61  			| (430) all_47_3_82 = all_31_5_43
% 8.79/2.61  			|
% 8.79/2.61  			| Combining equations (407,410) yields a new equation:
% 8.79/2.61  			| (431) all_57_1_106 = all_33_0_45
% 8.79/2.61  			|
% 8.79/2.61  			| Simplifying 431 yields:
% 8.79/2.61  			| (432) all_57_1_106 = all_33_0_45
% 8.79/2.61  			|
% 8.79/2.61  			| Combining equations (414,410) yields a new equation:
% 8.79/2.61  			| (433) all_55_3_101 = all_33_0_45
% 8.79/2.61  			|
% 8.79/2.61  			| Simplifying 433 yields:
% 8.79/2.61  			| (434) all_55_3_101 = all_33_0_45
% 8.79/2.61  			|
% 8.79/2.61  			| Combining equations (412,411) yields a new equation:
% 8.79/2.61  			| (435) all_53_1_94 = all_0_2_2
% 8.79/2.61  			|
% 8.79/2.61  			| Simplifying 435 yields:
% 8.79/2.61  			| (436) all_53_1_94 = all_0_2_2
% 8.79/2.61  			|
% 8.79/2.61  			| Combining equations (422,428) yields a new equation:
% 8.79/2.61  			| (437) all_59_3_112 = all_0_5_5
% 8.79/2.61  			|
% 8.79/2.61  			| Simplifying 437 yields:
% 8.79/2.61  			| (438) all_59_3_112 = all_0_5_5
% 8.79/2.61  			|
% 8.79/2.61  			| Combining equations (403,426) yields a new equation:
% 8.79/2.61  			| (439) all_55_4_102 = all_0_1_1
% 8.79/2.61  			|
% 8.79/2.61  			| Simplifying 439 yields:
% 8.79/2.61  			| (440) all_55_4_102 = all_0_1_1
% 8.79/2.61  			|
% 8.79/2.62  			| Combining equations (423,438) yields a new equation:
% 8.79/2.62  			| (441) all_57_2_107 = all_0_5_5
% 8.79/2.62  			|
% 8.79/2.62  			| Simplifying 441 yields:
% 8.79/2.62  			| (442) all_57_2_107 = all_0_5_5
% 8.79/2.62  			|
% 8.79/2.62  			| Combining equations (432,409) yields a new equation:
% 8.79/2.62  			| (443) all_51_1_90 = all_33_0_45
% 8.79/2.62  			|
% 8.79/2.62  			| Combining equations (408,409) yields a new equation:
% 8.79/2.62  			| (444) all_53_1_94 = all_51_1_90
% 8.79/2.62  			|
% 8.79/2.62  			| Simplifying 444 yields:
% 8.79/2.62  			| (445) all_53_1_94 = all_51_1_90
% 8.79/2.62  			|
% 8.79/2.62  			| Combining equations (424,442) yields a new equation:
% 8.79/2.62  			| (446) all_41_4_66 = all_0_5_5
% 8.79/2.62  			|
% 8.79/2.62  			| Simplifying 446 yields:
% 8.79/2.62  			| (447) all_41_4_66 = all_0_5_5
% 8.79/2.62  			|
% 8.79/2.62  			| Combining equations (405,440) yields a new equation:
% 8.79/2.62  			| (448) all_41_3_65 = all_0_1_1
% 8.79/2.62  			|
% 8.79/2.62  			| Simplifying 448 yields:
% 8.79/2.62  			| (449) all_41_3_65 = all_0_1_1
% 8.79/2.62  			|
% 8.79/2.62  			| Combining equations (445,436) yields a new equation:
% 8.79/2.62  			| (450) all_51_1_90 = all_0_2_2
% 8.79/2.62  			|
% 8.79/2.62  			| Simplifying 450 yields:
% 8.79/2.62  			| (451) all_51_1_90 = all_0_2_2
% 8.79/2.62  			|
% 8.79/2.62  			| Combining equations (443,451) yields a new equation:
% 8.79/2.62  			| (452) all_33_0_45 = all_0_2_2
% 8.79/2.62  			|
% 8.79/2.62  			| Simplifying 452 yields:
% 8.79/2.62  			| (453) all_33_0_45 = all_0_2_2
% 8.79/2.62  			|
% 8.79/2.62  			| Combining equations (417,430) yields a new equation:
% 8.79/2.62  			| (454) all_41_0_62 = all_31_5_43
% 8.79/2.62  			|
% 8.79/2.62  			| Simplifying 454 yields:
% 8.79/2.62  			| (455) all_41_0_62 = all_31_5_43
% 8.79/2.62  			|
% 8.79/2.62  			| Combining equations (418,416) yields a new equation:
% 8.79/2.62  			| (456) all_41_0_62 = all_0_0_0
% 8.79/2.62  			|
% 8.79/2.62  			| Simplifying 456 yields:
% 8.79/2.62  			| (457) all_41_0_62 = all_0_0_0
% 8.79/2.62  			|
% 8.79/2.62  			| Combining equations (457,455) yields a new equation:
% 8.79/2.62  			| (458) all_31_5_43 = all_0_0_0
% 8.79/2.62  			|
% 8.79/2.62  			| Combining equations (458,455) yields a new equation:
% 8.79/2.62  			| (457) all_41_0_62 = all_0_0_0
% 8.79/2.62  			|
% 8.79/2.62  			| Combining equations (453,434) yields a new equation:
% 8.79/2.62  			| (460) all_55_3_101 = all_0_2_2
% 8.79/2.62  			|
% 8.79/2.62  			| From (413) and (239) follows:
% 8.79/2.62  			| (461) vmul(vd448, all_0_1_1) = all_73_0_142
% 8.79/2.62  			|
% 8.79/2.62  			| From (426) and (190) follows:
% 8.79/2.62  			| (462) vmul(vd448, all_0_1_1) = all_59_0_109
% 8.79/2.62  			|
% 8.79/2.62  			| From (440)(460) and (175) follows:
% 8.79/2.62  			| (463) vmul(vd448, all_0_1_1) = all_0_2_2
% 8.79/2.62  			|
% 8.79/2.62  			| From (449) and (136) follows:
% 8.79/2.62  			| (464) vmul(vd448, all_0_1_1) = all_41_2_64
% 8.79/2.62  			|
% 8.79/2.62  			+-Applying beta-rule and splitting (137), into two cases.
% 8.79/2.62  			|-Branch one:
% 8.79/2.62  			| (465)  ~ (all_41_4_66 = all_41_6_68)
% 8.79/2.62  			|
% 8.79/2.62  				| Equations (447,347) can reduce 465 to:
% 8.79/2.62  				| (389) $false
% 8.79/2.62  				|
% 8.79/2.62  				|-The branch is then unsatisfiable
% 8.79/2.62  			|-Branch two:
% 8.79/2.62  			| (467) all_41_4_66 = all_41_6_68
% 8.79/2.62  			| (468) all_41_0_62 = all_41_2_64
% 8.79/2.62  			|
% 8.79/2.62  				| Combining equations (457,468) yields a new equation:
% 8.79/2.62  				| (469) all_41_2_64 = all_0_0_0
% 8.79/2.62  				|
% 8.79/2.62  				| From (469) and (464) follows:
% 8.79/2.62  				| (61) vmul(vd448, all_0_1_1) = all_0_0_0
% 8.79/2.62  				|
% 8.79/2.62  				+-Applying beta-rule and splitting (187), into two cases.
% 8.79/2.62  				|-Branch one:
% 8.79/2.62  				| (471)  ~ (all_59_3_112 = all_0_5_5)
% 8.79/2.62  				|
% 8.79/2.62  					| Equations (438) can reduce 471 to:
% 8.79/2.62  					| (389) $false
% 8.79/2.62  					|
% 8.79/2.62  					|-The branch is then unsatisfiable
% 8.79/2.62  				|-Branch two:
% 8.79/2.62  				| (438) all_59_3_112 = all_0_5_5
% 8.79/2.62  				| (474) all_59_0_109 = all_59_2_111
% 8.79/2.62  				|
% 8.79/2.62  					| From (474) and (462) follows:
% 8.79/2.62  					| (475) vmul(vd448, all_0_1_1) = all_59_2_111
% 8.79/2.62  					|
% 8.79/2.62  					+-Applying beta-rule and splitting (235), into two cases.
% 8.79/2.62  					|-Branch one:
% 8.79/2.62  					| (476)  ~ (all_73_5_147 = all_0_5_5)
% 8.79/2.62  					|
% 8.79/2.62  						| Equations (420) can reduce 476 to:
% 8.79/2.62  						| (389) $false
% 8.79/2.62  						|
% 8.79/2.62  						|-The branch is then unsatisfiable
% 8.79/2.62  					|-Branch two:
% 8.79/2.62  					| (420) all_73_5_147 = all_0_5_5
% 8.79/2.62  					| (479) all_73_0_142 = all_73_3_145
% 8.79/2.62  					|
% 8.79/2.62  						| From (479) and (461) follows:
% 8.79/2.62  						| (480) vmul(vd448, all_0_1_1) = all_73_3_145
% 8.79/2.62  						|
% 8.79/2.62  						| Instantiating formula (56) with vd448, all_0_1_1, all_59_2_111, all_0_0_0 and discharging atoms vmul(vd448, all_0_1_1) = all_59_2_111, vmul(vd448, all_0_1_1) = all_0_0_0, yields:
% 8.79/2.62  						| (481) all_59_2_111 = all_0_0_0
% 8.79/2.62  						|
% 8.79/2.62  						| Instantiating formula (56) with vd448, all_0_1_1, all_59_2_111, all_73_3_145 and discharging atoms vmul(vd448, all_0_1_1) = all_73_3_145, vmul(vd448, all_0_1_1) = all_59_2_111, yields:
% 8.79/2.62  						| (482) all_73_3_145 = all_59_2_111
% 8.79/2.62  						|
% 8.79/2.62  						| Instantiating formula (56) with vd448, all_0_1_1, all_0_2_2, all_73_3_145 and discharging atoms vmul(vd448, all_0_1_1) = all_73_3_145, vmul(vd448, all_0_1_1) = all_0_2_2, yields:
% 8.79/2.62  						| (483) all_73_3_145 = all_0_2_2
% 8.79/2.62  						|
% 8.79/2.62  						| Combining equations (482,483) yields a new equation:
% 8.79/2.62  						| (484) all_59_2_111 = all_0_2_2
% 8.79/2.62  						|
% 8.79/2.62  						| Simplifying 484 yields:
% 8.79/2.62  						| (485) all_59_2_111 = all_0_2_2
% 8.79/2.62  						|
% 8.79/2.62  						| Combining equations (485,481) yields a new equation:
% 8.79/2.62  						| (486) all_0_0_0 = all_0_2_2
% 8.79/2.62  						|
% 8.79/2.62  						| Equations (486) can reduce 29 to:
% 8.79/2.62  						| (389) $false
% 8.79/2.62  						|
% 8.79/2.62  						|-The branch is then unsatisfiable
% 8.79/2.62  % SZS output end Proof for theBenchmark
% 8.79/2.62  
% 8.79/2.62  2018ms
%------------------------------------------------------------------------------