%------------------------------------------------------------------------------
% File     : ePrincess---1.0
% Problem  : KLE169+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : ePrincess-casc -timeout=%d %s

% Computer : n027.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 : Sun Jul 17 01:51:43 EDT 2022

% Result   : Theorem 25.66s 7.55s
% Output   : Proof 39.78s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : KLE169+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.14  % Command  : ePrincess-casc -timeout=%d %s
% 0.13/0.35  % Computer : n027.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Thu Jun 16 11:28:20 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.56/0.60          ____       _                          
% 0.56/0.60    ___  / __ \_____(_)___  ________  __________
% 0.56/0.60   / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.56/0.60  /  __/ ____/ /  / / / / / /__/  __(__  |__  ) 
% 0.56/0.60  \___/_/   /_/  /_/_/ /_/\___/\___/____/____/  
% 0.56/0.60  
% 0.56/0.60  A Theorem Prover for First-Order Logic
% 0.56/0.60  (ePrincess v.1.0)
% 0.56/0.60  
% 0.56/0.60  (c) Philipp Rümmer, 2009-2015
% 0.56/0.60  (c) Peter Backeman, 2014-2015
% 0.56/0.60  (contributions by Angelo Brillout, Peter Baumgartner)
% 0.56/0.60  Free software under GNU Lesser General Public License (LGPL).
% 0.56/0.60  Bug reports to peter@backeman.se
% 0.56/0.60  
% 0.56/0.60  For more information, visit http://user.uu.se/~petba168/breu/
% 0.56/0.60  
% 0.56/0.60  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.70/0.65  Prover 0: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.61/0.95  Prover 0: Preprocessing ...
% 2.24/1.21  Prover 0: Constructing countermodel ...
% 19.11/5.94  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 19.11/5.97  Prover 1: Preprocessing ...
% 19.45/6.06  Prover 1: Constructing countermodel ...
% 21.48/6.55  Prover 1: gave up
% 21.48/6.55  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 21.48/6.56  Prover 2: Preprocessing ...
% 21.98/6.61  Prover 2: Warning: ignoring some quantifiers
% 21.98/6.61  Prover 2: Constructing countermodel ...
% 25.66/7.55  Prover 2: proved (994ms)
% 25.66/7.55  Prover 0: stopped
% 25.66/7.55  
% 25.66/7.55  No countermodel exists, formula is valid
% 25.66/7.55  % SZS status Theorem for theBenchmark
% 25.66/7.55  
% 25.66/7.55  Generating proof ... Warning: ignoring some quantifiers
% 39.10/11.45  found it (size 493)
% 39.10/11.45  
% 39.10/11.45  % SZS output start Proof for theBenchmark
% 39.10/11.45  Assumed formulas after preprocessing and simplification: 
% 39.10/11.45  | (0)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : ( ~ (v6 = 0) & star(sigma) = v2 & leq(v1, v5) = v6 & multiplication(v2, v4) = v5 & multiplication(sigma, a) = v3 & multiplication(b, a) = v0 & multiplication(a, v3) = v4 & multiplication(a, v0) = v1 & addition(a, b) = sigma &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v12 = 0 |  ~ (star(v8) = v10) |  ~ (leq(v11, v7) = v12) |  ~ (multiplication(v9, v10) = v11) |  ? [v13] :  ? [v14] :  ? [v15] : ( ~ (v15 = 0) & leq(v14, v7) = v15 & multiplication(v7, v8) = v13 & addition(v13, v9) = v14)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v12 = 0 |  ~ (star(v7) = v10) |  ~ (leq(v11, v8) = v12) |  ~ (multiplication(v10, v9) = v11) |  ? [v13] :  ? [v14] :  ? [v15] : ( ~ (v15 = 0) & leq(v14, v8) = v15 & multiplication(v7, v8) = v13 & addition(v13, v9) = v14)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (multiplication(v8, v9) = v11) |  ~ (multiplication(v7, v9) = v10) |  ~ (addition(v10, v11) = v12) |  ? [v13] : (multiplication(v13, v9) = v12 & addition(v7, v8) = v13)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (multiplication(v7, v9) = v11) |  ~ (multiplication(v7, v8) = v10) |  ~ (addition(v10, v11) = v12) |  ? [v13] : (multiplication(v7, v13) = v12 & addition(v8, v9) = v13)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (multiplication(v10, v9) = v11) |  ~ (multiplication(v7, v8) = v10) |  ? [v12] : (multiplication(v8, v9) = v12 & multiplication(v7, v12) = v11)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (multiplication(v10, v9) = v11) |  ~ (addition(v7, v8) = v10) |  ? [v12] :  ? [v13] : (multiplication(v8, v9) = v13 & multiplication(v7, v9) = v12 & addition(v12, v13) = v11)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (multiplication(v8, v9) = v10) |  ~ (multiplication(v7, v10) = v11) |  ? [v12] : (multiplication(v12, v9) = v11 & multiplication(v7, v8) = v12)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (multiplication(v7, v10) = v11) |  ~ (addition(v8, v9) = v10) |  ? [v12] :  ? [v13] : (multiplication(v7, v9) = v13 & multiplication(v7, v8) = v12 & addition(v12, v13) = v11)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (multiplication(v7, v8) = v10) |  ~ (addition(v10, v9) = v11) |  ? [v12] :  ? [v13] :  ? [v14] : ((v14 = 0 & star(v8) = v12 & leq(v13, v7) = 0 & multiplication(v9, v12) = v13) | ( ~ (v12 = 0) & leq(v11, v7) = v12))) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (multiplication(v7, v8) = v10) |  ~ (addition(v10, v9) = v11) |  ? [v12] :  ? [v13] :  ? [v14] : ((v14 = 0 & star(v7) = v12 & leq(v13, v8) = 0 & multiplication(v12, v9) = v13) | ( ~ (v12 = 0) & leq(v11, v8) = v12))) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (addition(v10, v7) = v11) |  ~ (addition(v9, v8) = v10) |  ? [v12] : (addition(v9, v12) = v11 & addition(v8, v7) = v12)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (addition(v9, v10) = v11) |  ~ (addition(v8, v7) = v10) |  ? [v12] : (addition(v12, v7) = v11 & addition(v9, v8) = v12)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v8 = v7 |  ~ (leq(v10, v9) = v8) |  ~ (leq(v10, v9) = v7)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v8 = v7 |  ~ (multiplication(v10, v9) = v8) |  ~ (multiplication(v10, v9) = v7)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v8 = v7 |  ~ (addition(v10, v9) = v8) |  ~ (addition(v10, v9) = v7)) &  ! [v7] :  ! [v8] :  ! [v9] : (v9 = v8 |  ~ (addition(v7, v8) = v9) |  ? [v10] : ( ~ (v10 = 0) & leq(v7, v8) = v10)) &  ! [v7] :  ! [v8] :  ! [v9] : (v9 = 0 |  ~ (leq(v7, v8) = v9) |  ? [v10] : ( ~ (v10 = v8) & addition(v7, v8) = v10)) &  ! [v7] :  ! [v8] :  ! [v9] : (v8 = v7 |  ~ (star(v9) = v8) |  ~ (star(v9) = v7)) &  ! [v7] :  ! [v8] :  ! [v9] : ( ~ (addition(v8, v7) = v9) | addition(v7, v8) = v9) &  ! [v7] :  ! [v8] :  ! [v9] : ( ~ (addition(v7, v8) = v9) | addition(v8, v7) = v9) &  ! [v7] :  ! [v8] : (v8 = v7 |  ~ (multiplication(v7, one) = v8)) &  ! [v7] :  ! [v8] : (v8 = v7 |  ~ (multiplication(one, v7) = v8)) &  ! [v7] :  ! [v8] : (v8 = v7 |  ~ (addition(v7, v7) = v8)) &  ! [v7] :  ! [v8] : (v8 = v7 |  ~ (addition(v7, zero) = v8)) &  ! [v7] :  ! [v8] : (v8 = zero |  ~ (multiplication(v7, zero) = v8)) &  ! [v7] :  ! [v8] : (v8 = zero |  ~ (multiplication(zero, v7) = v8)) &  ! [v7] :  ! [v8] : ( ~ (star(v7) = v8) |  ? [v9] :  ? [v10] : (leq(v10, v8) = 0 & multiplication(v8, v7) = v9 & addition(one, v9) = v10)) &  ! [v7] :  ! [v8] : ( ~ (star(v7) = v8) |  ? [v9] :  ? [v10] : (leq(v10, v8) = 0 & multiplication(v7, v8) = v9 & addition(one, v9) = v10)) &  ! [v7] :  ! [v8] : ( ~ (leq(v7, v8) = 0) | addition(v7, v8) = v8) &  ! [v7] :  ! [v8] : ( ~ (addition(v7, v8) = v8) | leq(v7, v8) = 0) &  ? [v7] :  ? [v8] :  ? [v9] : leq(v8, v7) = v9 &  ? [v7] :  ? [v8] :  ? [v9] : multiplication(v8, v7) = v9 &  ? [v7] :  ? [v8] :  ? [v9] : addition(v8, v7) = v9 &  ? [v7] :  ? [v8] : star(v7) = v8)
% 39.10/11.49  | 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 yields:
% 39.10/11.49  | (1)  ~ (all_0_0_0 = 0) & star(sigma) = all_0_4_4 & leq(all_0_5_5, all_0_1_1) = all_0_0_0 & multiplication(all_0_4_4, all_0_2_2) = all_0_1_1 & multiplication(sigma, a) = all_0_3_3 & multiplication(b, a) = all_0_6_6 & multiplication(a, all_0_3_3) = all_0_2_2 & multiplication(a, all_0_6_6) = all_0_5_5 & addition(a, b) = sigma &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (star(v1) = v3) |  ~ (leq(v4, v0) = v5) |  ~ (multiplication(v2, v3) = v4) |  ? [v6] :  ? [v7] :  ? [v8] : ( ~ (v8 = 0) & leq(v7, v0) = v8 & multiplication(v0, v1) = v6 & addition(v6, v2) = v7)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (star(v0) = v3) |  ~ (leq(v4, v1) = v5) |  ~ (multiplication(v3, v2) = v4) |  ? [v6] :  ? [v7] :  ? [v8] : ( ~ (v8 = 0) & leq(v7, v1) = v8 & multiplication(v0, v1) = v6 & addition(v6, v2) = v7)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (multiplication(v1, v2) = v4) |  ~ (multiplication(v0, v2) = v3) |  ~ (addition(v3, v4) = v5) |  ? [v6] : (multiplication(v6, v2) = v5 & addition(v0, v1) = v6)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (multiplication(v0, v2) = v4) |  ~ (multiplication(v0, v1) = v3) |  ~ (addition(v3, v4) = v5) |  ? [v6] : (multiplication(v0, v6) = v5 & addition(v1, v2) = v6)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (multiplication(v3, v2) = v4) |  ~ (multiplication(v0, v1) = v3) |  ? [v5] : (multiplication(v1, v2) = v5 & multiplication(v0, v5) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (multiplication(v3, v2) = v4) |  ~ (addition(v0, v1) = v3) |  ? [v5] :  ? [v6] : (multiplication(v1, v2) = v6 & multiplication(v0, v2) = v5 & addition(v5, v6) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (multiplication(v1, v2) = v3) |  ~ (multiplication(v0, v3) = v4) |  ? [v5] : (multiplication(v5, v2) = v4 & multiplication(v0, v1) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (multiplication(v0, v3) = v4) |  ~ (addition(v1, v2) = v3) |  ? [v5] :  ? [v6] : (multiplication(v0, v2) = v6 & multiplication(v0, v1) = v5 & addition(v5, v6) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (multiplication(v0, v1) = v3) |  ~ (addition(v3, v2) = v4) |  ? [v5] :  ? [v6] :  ? [v7] : ((v7 = 0 & star(v1) = v5 & leq(v6, v0) = 0 & multiplication(v2, v5) = v6) | ( ~ (v5 = 0) & leq(v4, v0) = v5))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (multiplication(v0, v1) = v3) |  ~ (addition(v3, v2) = v4) |  ? [v5] :  ? [v6] :  ? [v7] : ((v7 = 0 & star(v0) = v5 & leq(v6, v1) = 0 & multiplication(v5, v2) = v6) | ( ~ (v5 = 0) & leq(v4, v1) = v5))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (addition(v3, v0) = v4) |  ~ (addition(v2, v1) = v3) |  ? [v5] : (addition(v2, v5) = v4 & addition(v1, v0) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (addition(v2, v3) = v4) |  ~ (addition(v1, v0) = v3) |  ? [v5] : (addition(v5, v0) = v4 & addition(v2, v1) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (leq(v3, v2) = v1) |  ~ (leq(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (multiplication(v3, v2) = v1) |  ~ (multiplication(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (addition(v3, v2) = v1) |  ~ (addition(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (addition(v0, v1) = v2) |  ? [v3] : ( ~ (v3 = 0) & leq(v0, v1) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (leq(v0, v1) = v2) |  ? [v3] : ( ~ (v3 = v1) & addition(v0, v1) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (star(v2) = v1) |  ~ (star(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (addition(v1, v0) = v2) | addition(v0, v1) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (addition(v0, v1) = v2) | addition(v1, v0) = v2) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (multiplication(v0, one) = v1)) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (multiplication(one, v0) = v1)) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (addition(v0, v0) = v1)) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (addition(v0, zero) = v1)) &  ! [v0] :  ! [v1] : (v1 = zero |  ~ (multiplication(v0, zero) = v1)) &  ! [v0] :  ! [v1] : (v1 = zero |  ~ (multiplication(zero, v0) = v1)) &  ! [v0] :  ! [v1] : ( ~ (star(v0) = v1) |  ? [v2] :  ? [v3] : (leq(v3, v1) = 0 & multiplication(v1, v0) = v2 & addition(one, v2) = v3)) &  ! [v0] :  ! [v1] : ( ~ (star(v0) = v1) |  ? [v2] :  ? [v3] : (leq(v3, v1) = 0 & multiplication(v0, v1) = v2 & addition(one, v2) = v3)) &  ! [v0] :  ! [v1] : ( ~ (leq(v0, v1) = 0) | addition(v0, v1) = v1) &  ! [v0] :  ! [v1] : ( ~ (addition(v0, v1) = v1) | leq(v0, v1) = 0) &  ? [v0] :  ? [v1] :  ? [v2] : leq(v1, v0) = v2 &  ? [v0] :  ? [v1] :  ? [v2] : multiplication(v1, v0) = v2 &  ? [v0] :  ? [v1] :  ? [v2] : addition(v1, v0) = v2 &  ? [v0] :  ? [v1] : star(v0) = v1
% 39.10/11.50  |
% 39.10/11.50  | Applying alpha-rule on (1) yields:
% 39.10/11.50  | (2)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (addition(v2, v3) = v4) |  ~ (addition(v1, v0) = v3) |  ? [v5] : (addition(v5, v0) = v4 & addition(v2, v1) = v5))
% 39.10/11.50  | (3)  ! [v0] :  ! [v1] : ( ~ (star(v0) = v1) |  ? [v2] :  ? [v3] : (leq(v3, v1) = 0 & multiplication(v1, v0) = v2 & addition(one, v2) = v3))
% 39.10/11.50  | (4)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (multiplication(v0, v1) = v3) |  ~ (addition(v3, v2) = v4) |  ? [v5] :  ? [v6] :  ? [v7] : ((v7 = 0 & star(v0) = v5 & leq(v6, v1) = 0 & multiplication(v5, v2) = v6) | ( ~ (v5 = 0) & leq(v4, v1) = v5)))
% 39.10/11.50  | (5) leq(all_0_5_5, all_0_1_1) = all_0_0_0
% 39.10/11.50  | (6)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (addition(v0, zero) = v1))
% 39.10/11.50  | (7) star(sigma) = all_0_4_4
% 39.10/11.50  | (8)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (star(v0) = v3) |  ~ (leq(v4, v1) = v5) |  ~ (multiplication(v3, v2) = v4) |  ? [v6] :  ? [v7] :  ? [v8] : ( ~ (v8 = 0) & leq(v7, v1) = v8 & multiplication(v0, v1) = v6 & addition(v6, v2) = v7))
% 39.10/11.50  | (9)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (leq(v3, v2) = v1) |  ~ (leq(v3, v2) = v0))
% 39.10/11.50  | (10) multiplication(a, all_0_3_3) = all_0_2_2
% 39.10/11.50  | (11)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (star(v2) = v1) |  ~ (star(v2) = v0))
% 39.10/11.50  | (12)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (multiplication(v1, v2) = v3) |  ~ (multiplication(v0, v3) = v4) |  ? [v5] : (multiplication(v5, v2) = v4 & multiplication(v0, v1) = v5))
% 39.10/11.50  | (13)  ? [v0] :  ? [v1] : star(v0) = v1
% 39.10/11.50  | (14)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (leq(v0, v1) = v2) |  ? [v3] : ( ~ (v3 = v1) & addition(v0, v1) = v3))
% 39.10/11.50  | (15)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (multiplication(v3, v2) = v4) |  ~ (multiplication(v0, v1) = v3) |  ? [v5] : (multiplication(v1, v2) = v5 & multiplication(v0, v5) = v4))
% 39.10/11.51  | (16)  ! [v0] :  ! [v1] : ( ~ (star(v0) = v1) |  ? [v2] :  ? [v3] : (leq(v3, v1) = 0 & multiplication(v0, v1) = v2 & addition(one, v2) = v3))
% 39.10/11.51  | (17)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (multiplication(v1, v2) = v4) |  ~ (multiplication(v0, v2) = v3) |  ~ (addition(v3, v4) = v5) |  ? [v6] : (multiplication(v6, v2) = v5 & addition(v0, v1) = v6))
% 39.10/11.51  | (18) addition(a, b) = sigma
% 39.10/11.51  | (19)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (multiplication(v0, v1) = v3) |  ~ (addition(v3, v2) = v4) |  ? [v5] :  ? [v6] :  ? [v7] : ((v7 = 0 & star(v1) = v5 & leq(v6, v0) = 0 & multiplication(v2, v5) = v6) | ( ~ (v5 = 0) & leq(v4, v0) = v5)))
% 39.10/11.51  | (20)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (multiplication(v3, v2) = v1) |  ~ (multiplication(v3, v2) = v0))
% 39.10/11.51  | (21)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (addition(v3, v2) = v1) |  ~ (addition(v3, v2) = v0))
% 39.10/11.51  | (22)  ? [v0] :  ? [v1] :  ? [v2] : leq(v1, v0) = v2
% 39.10/11.51  | (23)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (addition(v0, v1) = v2) | addition(v1, v0) = v2)
% 39.10/11.51  | (24)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (addition(v1, v0) = v2) | addition(v0, v1) = v2)
% 39.10/11.51  | (25)  ! [v0] :  ! [v1] : (v1 = zero |  ~ (multiplication(v0, zero) = v1))
% 39.10/11.51  | (26)  ? [v0] :  ? [v1] :  ? [v2] : addition(v1, v0) = v2
% 39.10/11.51  | (27)  ! [v0] :  ! [v1] : (v1 = zero |  ~ (multiplication(zero, v0) = v1))
% 39.10/11.51  | (28)  ? [v0] :  ? [v1] :  ? [v2] : multiplication(v1, v0) = v2
% 39.10/11.51  | (29)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (multiplication(v0, v3) = v4) |  ~ (addition(v1, v2) = v3) |  ? [v5] :  ? [v6] : (multiplication(v0, v2) = v6 & multiplication(v0, v1) = v5 & addition(v5, v6) = v4))
% 39.10/11.51  | (30)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (addition(v0, v0) = v1))
% 39.10/11.51  | (31)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (star(v1) = v3) |  ~ (leq(v4, v0) = v5) |  ~ (multiplication(v2, v3) = v4) |  ? [v6] :  ? [v7] :  ? [v8] : ( ~ (v8 = 0) & leq(v7, v0) = v8 & multiplication(v0, v1) = v6 & addition(v6, v2) = v7))
% 39.10/11.51  | (32) multiplication(a, all_0_6_6) = all_0_5_5
% 39.10/11.51  | (33) multiplication(b, a) = all_0_6_6
% 39.10/11.51  | (34)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (multiplication(v0, v2) = v4) |  ~ (multiplication(v0, v1) = v3) |  ~ (addition(v3, v4) = v5) |  ? [v6] : (multiplication(v0, v6) = v5 & addition(v1, v2) = v6))
% 39.10/11.51  | (35)  ! [v0] :  ! [v1] : ( ~ (addition(v0, v1) = v1) | leq(v0, v1) = 0)
% 39.10/11.51  | (36)  ! [v0] :  ! [v1] : ( ~ (leq(v0, v1) = 0) | addition(v0, v1) = v1)
% 39.10/11.51  | (37)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (multiplication(v3, v2) = v4) |  ~ (addition(v0, v1) = v3) |  ? [v5] :  ? [v6] : (multiplication(v1, v2) = v6 & multiplication(v0, v2) = v5 & addition(v5, v6) = v4))
% 39.10/11.51  | (38)  ~ (all_0_0_0 = 0)
% 39.10/11.51  | (39) multiplication(sigma, a) = all_0_3_3
% 39.10/11.51  | (40)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (addition(v0, v1) = v2) |  ? [v3] : ( ~ (v3 = 0) & leq(v0, v1) = v3))
% 39.10/11.51  | (41)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (multiplication(v0, one) = v1))
% 39.46/11.51  | (42)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (addition(v3, v0) = v4) |  ~ (addition(v2, v1) = v3) |  ? [v5] : (addition(v2, v5) = v4 & addition(v1, v0) = v5))
% 39.46/11.51  | (43) multiplication(all_0_4_4, all_0_2_2) = all_0_1_1
% 39.46/11.51  | (44)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (multiplication(one, v0) = v1))
% 39.46/11.51  |
% 39.46/11.51  | Instantiating formula (3) with all_0_4_4, sigma and discharging atoms star(sigma) = all_0_4_4, yields:
% 39.46/11.51  | (45)  ? [v0] :  ? [v1] : (leq(v1, all_0_4_4) = 0 & multiplication(all_0_4_4, sigma) = v0 & addition(one, v0) = v1)
% 39.46/11.51  |
% 39.46/11.51  | Instantiating formula (16) with all_0_4_4, sigma and discharging atoms star(sigma) = all_0_4_4, yields:
% 39.46/11.51  | (46)  ? [v0] :  ? [v1] : (leq(v1, all_0_4_4) = 0 & multiplication(sigma, all_0_4_4) = v0 & addition(one, v0) = v1)
% 39.46/11.51  |
% 39.46/11.51  | Instantiating formula (14) with all_0_0_0, all_0_1_1, all_0_5_5 and discharging atoms leq(all_0_5_5, all_0_1_1) = all_0_0_0, yields:
% 39.46/11.51  | (47) all_0_0_0 = 0 |  ? [v0] : ( ~ (v0 = all_0_1_1) & addition(all_0_5_5, all_0_1_1) = v0)
% 39.46/11.51  |
% 39.46/11.51  | Instantiating formula (12) with all_0_1_1, all_0_2_2, all_0_3_3, a, all_0_4_4 and discharging atoms multiplication(all_0_4_4, all_0_2_2) = all_0_1_1, multiplication(a, all_0_3_3) = all_0_2_2, yields:
% 39.46/11.51  | (48)  ? [v0] : (multiplication(v0, all_0_3_3) = all_0_1_1 & multiplication(all_0_4_4, a) = v0)
% 39.46/11.51  |
% 39.46/11.51  | Instantiating formula (12) with all_0_2_2, all_0_3_3, a, sigma, a and discharging atoms multiplication(sigma, a) = all_0_3_3, multiplication(a, all_0_3_3) = all_0_2_2, yields:
% 39.46/11.51  | (49)  ? [v0] : (multiplication(v0, a) = all_0_2_2 & multiplication(a, sigma) = v0)
% 39.46/11.51  |
% 39.46/11.51  | Instantiating formula (12) with all_0_5_5, all_0_6_6, a, b, a and discharging atoms multiplication(b, a) = all_0_6_6, multiplication(a, all_0_6_6) = all_0_5_5, yields:
% 39.46/11.51  | (50)  ? [v0] : (multiplication(v0, a) = all_0_5_5 & multiplication(a, b) = v0)
% 39.46/11.51  |
% 39.46/11.51  | Instantiating formula (37) with all_0_3_3, sigma, a, b, a and discharging atoms multiplication(sigma, a) = all_0_3_3, addition(a, b) = sigma, yields:
% 39.46/11.51  | (51)  ? [v0] :  ? [v1] : (multiplication(b, a) = v1 & multiplication(a, a) = v0 & addition(v0, v1) = all_0_3_3)
% 39.46/11.51  |
% 39.46/11.51  | Instantiating formula (24) with sigma, a, b and discharging atoms addition(a, b) = sigma, yields:
% 39.46/11.51  | (52) addition(b, a) = sigma
% 39.46/11.52  |
% 39.46/11.52  | Instantiating (51) with all_17_0_18, all_17_1_19 yields:
% 39.46/11.52  | (53) multiplication(b, a) = all_17_0_18 & multiplication(a, a) = all_17_1_19 & addition(all_17_1_19, all_17_0_18) = all_0_3_3
% 39.46/11.52  |
% 39.46/11.52  | Applying alpha-rule on (53) yields:
% 39.46/11.52  | (54) multiplication(b, a) = all_17_0_18
% 39.46/11.52  | (55) multiplication(a, a) = all_17_1_19
% 39.46/11.52  | (56) addition(all_17_1_19, all_17_0_18) = all_0_3_3
% 39.46/11.52  |
% 39.46/11.52  | Instantiating (50) with all_19_0_20 yields:
% 39.46/11.52  | (57) multiplication(all_19_0_20, a) = all_0_5_5 & multiplication(a, b) = all_19_0_20
% 39.46/11.52  |
% 39.46/11.52  | Applying alpha-rule on (57) yields:
% 39.46/11.52  | (58) multiplication(all_19_0_20, a) = all_0_5_5
% 39.46/11.52  | (59) multiplication(a, b) = all_19_0_20
% 39.46/11.52  |
% 39.46/11.52  | Instantiating (49) with all_21_0_21 yields:
% 39.46/11.52  | (60) multiplication(all_21_0_21, a) = all_0_2_2 & multiplication(a, sigma) = all_21_0_21
% 39.46/11.52  |
% 39.46/11.52  | Applying alpha-rule on (60) yields:
% 39.46/11.52  | (61) multiplication(all_21_0_21, a) = all_0_2_2
% 39.46/11.52  | (62) multiplication(a, sigma) = all_21_0_21
% 39.46/11.52  |
% 39.46/11.52  | Instantiating (48) with all_23_0_22 yields:
% 39.46/11.52  | (63) multiplication(all_23_0_22, all_0_3_3) = all_0_1_1 & multiplication(all_0_4_4, a) = all_23_0_22
% 39.46/11.52  |
% 39.46/11.52  | Applying alpha-rule on (63) yields:
% 39.46/11.52  | (64) multiplication(all_23_0_22, all_0_3_3) = all_0_1_1
% 39.46/11.52  | (65) multiplication(all_0_4_4, a) = all_23_0_22
% 39.46/11.52  |
% 39.46/11.52  | Instantiating (46) with all_25_0_23, all_25_1_24 yields:
% 39.46/11.52  | (66) leq(all_25_0_23, all_0_4_4) = 0 & multiplication(sigma, all_0_4_4) = all_25_1_24 & addition(one, all_25_1_24) = all_25_0_23
% 39.46/11.52  |
% 39.46/11.52  | Applying alpha-rule on (66) yields:
% 39.46/11.52  | (67) leq(all_25_0_23, all_0_4_4) = 0
% 39.46/11.52  | (68) multiplication(sigma, all_0_4_4) = all_25_1_24
% 39.46/11.52  | (69) addition(one, all_25_1_24) = all_25_0_23
% 39.46/11.52  |
% 39.46/11.52  | Instantiating (45) with all_27_0_25, all_27_1_26 yields:
% 39.46/11.52  | (70) leq(all_27_0_25, all_0_4_4) = 0 & multiplication(all_0_4_4, sigma) = all_27_1_26 & addition(one, all_27_1_26) = all_27_0_25
% 39.46/11.52  |
% 39.46/11.52  | Applying alpha-rule on (70) yields:
% 39.46/11.52  | (71) leq(all_27_0_25, all_0_4_4) = 0
% 39.46/11.52  | (72) multiplication(all_0_4_4, sigma) = all_27_1_26
% 39.46/11.52  | (73) addition(one, all_27_1_26) = all_27_0_25
% 39.46/11.52  |
% 39.46/11.52  +-Applying beta-rule and splitting (47), into two cases.
% 39.46/11.52  |-Branch one:
% 39.46/11.52  | (74) all_0_0_0 = 0
% 39.46/11.52  |
% 39.46/11.52  	| Equations (74) can reduce 38 to:
% 39.46/11.52  	| (75) $false
% 39.46/11.52  	|
% 39.46/11.52  	|-The branch is then unsatisfiable
% 39.46/11.52  |-Branch two:
% 39.46/11.52  | (38)  ~ (all_0_0_0 = 0)
% 39.46/11.52  | (77)  ? [v0] : ( ~ (v0 = all_0_1_1) & addition(all_0_5_5, all_0_1_1) = v0)
% 39.46/11.52  |
% 39.46/11.52  	| Instantiating (77) with all_33_0_27 yields:
% 39.46/11.52  	| (78)  ~ (all_33_0_27 = all_0_1_1) & addition(all_0_5_5, all_0_1_1) = all_33_0_27
% 39.46/11.52  	|
% 39.46/11.52  	| Applying alpha-rule on (78) yields:
% 39.46/11.52  	| (79)  ~ (all_33_0_27 = all_0_1_1)
% 39.46/11.52  	| (80) addition(all_0_5_5, all_0_1_1) = all_33_0_27
% 39.46/11.52  	|
% 39.46/11.52  	| Instantiating formula (20) with b, a, all_17_0_18, all_0_6_6 and discharging atoms multiplication(b, a) = all_17_0_18, multiplication(b, a) = all_0_6_6, yields:
% 39.46/11.52  	| (81) all_17_0_18 = all_0_6_6
% 39.46/11.52  	|
% 39.46/11.52  	| From (81) and (54) follows:
% 39.46/11.52  	| (33) multiplication(b, a) = all_0_6_6
% 39.46/11.52  	|
% 39.46/11.52  	| From (81) and (56) follows:
% 39.46/11.52  	| (83) addition(all_17_1_19, all_0_6_6) = all_0_3_3
% 39.46/11.52  	|
% 39.46/11.52  	| Instantiating formula (36) with all_0_4_4, all_27_0_25 and discharging atoms leq(all_27_0_25, all_0_4_4) = 0, yields:
% 39.46/11.52  	| (84) addition(all_27_0_25, all_0_4_4) = all_0_4_4
% 39.46/11.52  	|
% 39.46/11.52  	| Instantiating formula (36) with all_0_4_4, all_25_0_23 and discharging atoms leq(all_25_0_23, all_0_4_4) = 0, yields:
% 39.46/11.52  	| (85) addition(all_25_0_23, all_0_4_4) = all_0_4_4
% 39.46/11.52  	|
% 39.46/11.52  	| Instantiating formula (12) with all_0_1_1, all_0_3_3, a, sigma, all_23_0_22 and discharging atoms multiplication(all_23_0_22, all_0_3_3) = all_0_1_1, multiplication(sigma, a) = all_0_3_3, yields:
% 39.46/11.52  	| (86)  ? [v0] : (multiplication(v0, a) = all_0_1_1 & multiplication(all_23_0_22, sigma) = v0)
% 39.46/11.52  	|
% 39.46/11.52  	| Instantiating formula (12) with all_0_1_1, all_0_2_2, a, all_21_0_21, all_0_4_4 and discharging atoms multiplication(all_21_0_21, a) = all_0_2_2, multiplication(all_0_4_4, all_0_2_2) = all_0_1_1, yields:
% 39.46/11.52  	| (87)  ? [v0] : (multiplication(v0, a) = all_0_1_1 & multiplication(all_0_4_4, all_21_0_21) = v0)
% 39.46/11.52  	|
% 39.46/11.52  	| Instantiating formula (29) with all_27_1_26, sigma, b, a, all_0_4_4 and discharging atoms multiplication(all_0_4_4, sigma) = all_27_1_26, addition(a, b) = sigma, yields:
% 39.46/11.52  	| (88)  ? [v0] :  ? [v1] : (multiplication(all_0_4_4, b) = v1 & multiplication(all_0_4_4, a) = v0 & addition(v0, v1) = all_27_1_26)
% 39.46/11.52  	|
% 39.46/11.52  	| Instantiating formula (29) with all_21_0_21, sigma, b, a, a and discharging atoms multiplication(a, sigma) = all_21_0_21, addition(a, b) = sigma, yields:
% 39.46/11.52  	| (89)  ? [v0] :  ? [v1] : (multiplication(a, b) = v1 & multiplication(a, a) = v0 & addition(v0, v1) = all_21_0_21)
% 39.46/11.52  	|
% 39.46/11.52  	| Instantiating formula (29) with all_0_2_2, all_0_3_3, all_0_6_6, all_17_1_19, a and discharging atoms multiplication(a, all_0_3_3) = all_0_2_2, addition(all_17_1_19, all_0_6_6) = all_0_3_3, yields:
% 39.46/11.52  	| (90)  ? [v0] :  ? [v1] : (multiplication(a, all_17_1_19) = v0 & multiplication(a, all_0_6_6) = v1 & addition(v0, v1) = all_0_2_2)
% 39.46/11.52  	|
% 39.46/11.52  	| Instantiating formula (29) with all_0_1_1, all_0_3_3, all_0_6_6, all_17_1_19, all_23_0_22 and discharging atoms multiplication(all_23_0_22, all_0_3_3) = all_0_1_1, addition(all_17_1_19, all_0_6_6) = all_0_3_3, yields:
% 39.46/11.52  	| (91)  ? [v0] :  ? [v1] : (multiplication(all_23_0_22, all_17_1_19) = v0 & multiplication(all_23_0_22, all_0_6_6) = v1 & addition(v0, v1) = all_0_1_1)
% 39.46/11.52  	|
% 39.46/11.52  	| Instantiating formula (24) with all_33_0_27, all_0_5_5, all_0_1_1 and discharging atoms addition(all_0_5_5, all_0_1_1) = all_33_0_27, yields:
% 39.46/11.52  	| (92) addition(all_0_1_1, all_0_5_5) = all_33_0_27
% 39.46/11.52  	|
% 39.46/11.52  	| Instantiating formula (37) with all_0_3_3, sigma, a, a, b and discharging atoms multiplication(sigma, a) = all_0_3_3, addition(b, a) = sigma, yields:
% 39.46/11.52  	| (93)  ? [v0] :  ? [v1] : (multiplication(b, a) = v0 & multiplication(a, a) = v1 & addition(v0, v1) = all_0_3_3)
% 39.46/11.52  	|
% 39.46/11.52  	| Instantiating formula (29) with all_27_1_26, sigma, a, b, all_0_4_4 and discharging atoms multiplication(all_0_4_4, sigma) = all_27_1_26, addition(b, a) = sigma, yields:
% 39.46/11.52  	| (94)  ? [v0] :  ? [v1] : (multiplication(all_0_4_4, b) = v0 & multiplication(all_0_4_4, a) = v1 & addition(v0, v1) = all_27_1_26)
% 39.46/11.52  	|
% 39.46/11.53  	| Instantiating formula (29) with all_21_0_21, sigma, a, b, a and discharging atoms multiplication(a, sigma) = all_21_0_21, addition(b, a) = sigma, yields:
% 39.46/11.53  	| (95)  ? [v0] :  ? [v1] : (multiplication(a, b) = v0 & multiplication(a, a) = v1 & addition(v0, v1) = all_21_0_21)
% 39.46/11.53  	|
% 39.46/11.53  	| Instantiating formula (24) with all_27_0_25, one, all_27_1_26 and discharging atoms addition(one, all_27_1_26) = all_27_0_25, yields:
% 39.46/11.53  	| (96) addition(all_27_1_26, one) = all_27_0_25
% 39.46/11.53  	|
% 39.46/11.53  	| Instantiating formula (24) with all_25_0_23, one, all_25_1_24 and discharging atoms addition(one, all_25_1_24) = all_25_0_23, yields:
% 39.46/11.53  	| (97) addition(all_25_1_24, one) = all_25_0_23
% 39.46/11.53  	|
% 39.46/11.53  	| Instantiating (95) with all_45_0_28, all_45_1_29 yields:
% 39.46/11.53  	| (98) multiplication(a, b) = all_45_1_29 & multiplication(a, a) = all_45_0_28 & addition(all_45_1_29, all_45_0_28) = all_21_0_21
% 39.46/11.53  	|
% 39.46/11.53  	| Applying alpha-rule on (98) yields:
% 39.46/11.53  	| (99) multiplication(a, b) = all_45_1_29
% 39.46/11.53  	| (100) multiplication(a, a) = all_45_0_28
% 39.46/11.53  	| (101) addition(all_45_1_29, all_45_0_28) = all_21_0_21
% 39.46/11.53  	|
% 39.46/11.53  	| Instantiating (93) with all_47_0_30, all_47_1_31 yields:
% 39.46/11.53  	| (102) multiplication(b, a) = all_47_1_31 & multiplication(a, a) = all_47_0_30 & addition(all_47_1_31, all_47_0_30) = all_0_3_3
% 39.46/11.53  	|
% 39.46/11.53  	| Applying alpha-rule on (102) yields:
% 39.46/11.53  	| (103) multiplication(b, a) = all_47_1_31
% 39.46/11.53  	| (104) multiplication(a, a) = all_47_0_30
% 39.46/11.53  	| (105) addition(all_47_1_31, all_47_0_30) = all_0_3_3
% 39.46/11.53  	|
% 39.46/11.53  	| Instantiating (89) with all_50_0_35, all_50_1_36 yields:
% 39.46/11.53  	| (106) multiplication(a, b) = all_50_0_35 & multiplication(a, a) = all_50_1_36 & addition(all_50_1_36, all_50_0_35) = all_21_0_21
% 39.46/11.53  	|
% 39.46/11.53  	| Applying alpha-rule on (106) yields:
% 39.46/11.53  	| (107) multiplication(a, b) = all_50_0_35
% 39.46/11.53  	| (108) multiplication(a, a) = all_50_1_36
% 39.46/11.53  	| (109) addition(all_50_1_36, all_50_0_35) = all_21_0_21
% 39.46/11.53  	|
% 39.46/11.53  	| Instantiating (88) with all_54_0_39, all_54_1_40 yields:
% 39.46/11.53  	| (110) multiplication(all_0_4_4, b) = all_54_0_39 & multiplication(all_0_4_4, a) = all_54_1_40 & addition(all_54_1_40, all_54_0_39) = all_27_1_26
% 39.46/11.53  	|
% 39.46/11.53  	| Applying alpha-rule on (110) yields:
% 39.46/11.53  	| (111) multiplication(all_0_4_4, b) = all_54_0_39
% 39.46/11.53  	| (112) multiplication(all_0_4_4, a) = all_54_1_40
% 39.46/11.53  	| (113) addition(all_54_1_40, all_54_0_39) = all_27_1_26
% 39.46/11.53  	|
% 39.46/11.53  	| Instantiating (87) with all_56_0_41 yields:
% 39.46/11.53  	| (114) multiplication(all_56_0_41, a) = all_0_1_1 & multiplication(all_0_4_4, all_21_0_21) = all_56_0_41
% 39.46/11.53  	|
% 39.46/11.53  	| Applying alpha-rule on (114) yields:
% 39.46/11.53  	| (115) multiplication(all_56_0_41, a) = all_0_1_1
% 39.46/11.53  	| (116) multiplication(all_0_4_4, all_21_0_21) = all_56_0_41
% 39.46/11.53  	|
% 39.46/11.53  	| Instantiating (86) with all_59_0_45 yields:
% 39.46/11.53  	| (117) multiplication(all_59_0_45, a) = all_0_1_1 & multiplication(all_23_0_22, sigma) = all_59_0_45
% 39.46/11.53  	|
% 39.46/11.53  	| Applying alpha-rule on (117) yields:
% 39.46/11.53  	| (118) multiplication(all_59_0_45, a) = all_0_1_1
% 39.46/11.53  	| (119) multiplication(all_23_0_22, sigma) = all_59_0_45
% 39.46/11.53  	|
% 39.46/11.53  	| Instantiating (94) with all_63_0_48, all_63_1_49 yields:
% 39.46/11.53  	| (120) multiplication(all_0_4_4, b) = all_63_1_49 & multiplication(all_0_4_4, a) = all_63_0_48 & addition(all_63_1_49, all_63_0_48) = all_27_1_26
% 39.46/11.53  	|
% 39.46/11.53  	| Applying alpha-rule on (120) yields:
% 39.46/11.53  	| (121) multiplication(all_0_4_4, b) = all_63_1_49
% 39.46/11.53  	| (122) multiplication(all_0_4_4, a) = all_63_0_48
% 39.46/11.53  	| (123) addition(all_63_1_49, all_63_0_48) = all_27_1_26
% 39.46/11.53  	|
% 39.46/11.53  	| Instantiating (91) with all_69_0_62, all_69_1_63 yields:
% 39.46/11.53  	| (124) multiplication(all_23_0_22, all_17_1_19) = all_69_1_63 & multiplication(all_23_0_22, all_0_6_6) = all_69_0_62 & addition(all_69_1_63, all_69_0_62) = all_0_1_1
% 39.46/11.53  	|
% 39.46/11.53  	| Applying alpha-rule on (124) yields:
% 39.46/11.53  	| (125) multiplication(all_23_0_22, all_17_1_19) = all_69_1_63
% 39.46/11.53  	| (126) multiplication(all_23_0_22, all_0_6_6) = all_69_0_62
% 39.46/11.53  	| (127) addition(all_69_1_63, all_69_0_62) = all_0_1_1
% 39.46/11.53  	|
% 39.46/11.53  	| Instantiating (90) with all_71_0_64, all_71_1_65 yields:
% 39.46/11.53  	| (128) multiplication(a, all_17_1_19) = all_71_1_65 & multiplication(a, all_0_6_6) = all_71_0_64 & addition(all_71_1_65, all_71_0_64) = all_0_2_2
% 39.46/11.53  	|
% 39.46/11.53  	| Applying alpha-rule on (128) yields:
% 39.46/11.53  	| (129) multiplication(a, all_17_1_19) = all_71_1_65
% 39.46/11.53  	| (130) multiplication(a, all_0_6_6) = all_71_0_64
% 39.46/11.53  	| (131) addition(all_71_1_65, all_71_0_64) = all_0_2_2
% 39.46/11.53  	|
% 39.46/11.53  	| Instantiating formula (20) with all_0_4_4, a, all_63_0_48, all_23_0_22 and discharging atoms multiplication(all_0_4_4, a) = all_63_0_48, multiplication(all_0_4_4, a) = all_23_0_22, yields:
% 39.46/11.53  	| (132) all_63_0_48 = all_23_0_22
% 39.46/11.53  	|
% 39.46/11.53  	| Instantiating formula (20) with all_0_4_4, a, all_54_1_40, all_63_0_48 and discharging atoms multiplication(all_0_4_4, a) = all_63_0_48, multiplication(all_0_4_4, a) = all_54_1_40, yields:
% 39.46/11.53  	| (133) all_63_0_48 = all_54_1_40
% 39.46/11.53  	|
% 39.46/11.53  	| Instantiating formula (20) with b, a, all_47_1_31, all_0_6_6 and discharging atoms multiplication(b, a) = all_47_1_31, multiplication(b, a) = all_0_6_6, yields:
% 39.46/11.53  	| (134) all_47_1_31 = all_0_6_6
% 39.46/11.53  	|
% 39.46/11.53  	| Instantiating formula (20) with a, all_0_6_6, all_71_0_64, all_0_5_5 and discharging atoms multiplication(a, all_0_6_6) = all_71_0_64, multiplication(a, all_0_6_6) = all_0_5_5, yields:
% 39.46/11.53  	| (135) all_71_0_64 = all_0_5_5
% 39.46/11.53  	|
% 39.46/11.53  	| Instantiating formula (20) with a, b, all_50_0_35, all_19_0_20 and discharging atoms multiplication(a, b) = all_50_0_35, multiplication(a, b) = all_19_0_20, yields:
% 39.46/11.53  	| (136) all_50_0_35 = all_19_0_20
% 39.46/11.53  	|
% 39.46/11.53  	| Instantiating formula (20) with a, b, all_45_1_29, all_50_0_35 and discharging atoms multiplication(a, b) = all_50_0_35, multiplication(a, b) = all_45_1_29, yields:
% 39.46/11.53  	| (137) all_50_0_35 = all_45_1_29
% 39.46/11.53  	|
% 39.46/11.53  	| Instantiating formula (20) with a, a, all_50_1_36, all_17_1_19 and discharging atoms multiplication(a, a) = all_50_1_36, multiplication(a, a) = all_17_1_19, yields:
% 39.46/11.53  	| (138) all_50_1_36 = all_17_1_19
% 39.46/11.53  	|
% 39.46/11.53  	| Instantiating formula (20) with a, a, all_47_0_30, all_50_1_36 and discharging atoms multiplication(a, a) = all_50_1_36, multiplication(a, a) = all_47_0_30, yields:
% 39.46/11.53  	| (139) all_50_1_36 = all_47_0_30
% 39.46/11.53  	|
% 39.46/11.53  	| Instantiating formula (20) with a, a, all_45_0_28, all_47_0_30 and discharging atoms multiplication(a, a) = all_47_0_30, multiplication(a, a) = all_45_0_28, yields:
% 39.46/11.53  	| (140) all_47_0_30 = all_45_0_28
% 39.46/11.53  	|
% 39.46/11.53  	| Combining equations (133,132) yields a new equation:
% 39.46/11.53  	| (141) all_54_1_40 = all_23_0_22
% 39.46/11.53  	|
% 39.46/11.53  	| Simplifying 141 yields:
% 39.46/11.53  	| (142) all_54_1_40 = all_23_0_22
% 39.46/11.53  	|
% 39.46/11.53  	| Combining equations (137,136) yields a new equation:
% 39.46/11.53  	| (143) all_45_1_29 = all_19_0_20
% 39.46/11.53  	|
% 39.46/11.53  	| Simplifying 143 yields:
% 39.46/11.53  	| (144) all_45_1_29 = all_19_0_20
% 39.46/11.53  	|
% 39.46/11.53  	| Combining equations (139,138) yields a new equation:
% 39.46/11.53  	| (145) all_47_0_30 = all_17_1_19
% 39.46/11.53  	|
% 39.46/11.53  	| Simplifying 145 yields:
% 39.46/11.53  	| (146) all_47_0_30 = all_17_1_19
% 39.46/11.53  	|
% 39.46/11.53  	| Combining equations (146,140) yields a new equation:
% 39.46/11.53  	| (147) all_45_0_28 = all_17_1_19
% 39.46/11.53  	|
% 39.46/11.54  	| Combining equations (147,140) yields a new equation:
% 39.46/11.54  	| (146) all_47_0_30 = all_17_1_19
% 39.46/11.54  	|
% 39.46/11.54  	| From (142) and (112) follows:
% 39.46/11.54  	| (65) multiplication(all_0_4_4, a) = all_23_0_22
% 39.46/11.54  	|
% 39.46/11.54  	| From (135) and (130) follows:
% 39.46/11.54  	| (32) multiplication(a, all_0_6_6) = all_0_5_5
% 39.46/11.54  	|
% 39.46/11.54  	| From (147) and (100) follows:
% 39.46/11.54  	| (55) multiplication(a, a) = all_17_1_19
% 39.46/11.54  	|
% 39.46/11.54  	| From (135) and (131) follows:
% 39.46/11.54  	| (152) addition(all_71_1_65, all_0_5_5) = all_0_2_2
% 39.46/11.54  	|
% 39.46/11.54  	| From (138)(136) and (109) follows:
% 39.46/11.54  	| (153) addition(all_17_1_19, all_19_0_20) = all_21_0_21
% 39.46/11.54  	|
% 39.46/11.54  	| From (134)(146) and (105) follows:
% 39.46/11.54  	| (154) addition(all_0_6_6, all_17_1_19) = all_0_3_3
% 39.46/11.54  	|
% 39.46/11.54  	| From (144)(147) and (101) follows:
% 39.46/11.54  	| (155) addition(all_19_0_20, all_17_1_19) = all_21_0_21
% 39.46/11.54  	|
% 39.46/11.54  	| Instantiating formula (15) with all_69_1_63, all_23_0_22, all_17_1_19, a, all_0_4_4 and discharging atoms multiplication(all_23_0_22, all_17_1_19) = all_69_1_63, multiplication(all_0_4_4, a) = all_23_0_22, yields:
% 39.46/11.54  	| (156)  ? [v0] : (multiplication(all_0_4_4, v0) = all_69_1_63 & multiplication(a, all_17_1_19) = v0)
% 39.46/11.54  	|
% 39.46/11.54  	| Instantiating formula (15) with all_69_0_62, all_23_0_22, all_0_6_6, a, all_0_4_4 and discharging atoms multiplication(all_23_0_22, all_0_6_6) = all_69_0_62, multiplication(all_0_4_4, a) = all_23_0_22, yields:
% 39.46/11.54  	| (157)  ? [v0] : (multiplication(all_0_4_4, v0) = all_69_0_62 & multiplication(a, all_0_6_6) = v0)
% 39.46/11.54  	|
% 39.46/11.54  	| Instantiating formula (15) with all_59_0_45, all_23_0_22, sigma, a, all_0_4_4 and discharging atoms multiplication(all_23_0_22, sigma) = all_59_0_45, multiplication(all_0_4_4, a) = all_23_0_22, yields:
% 39.46/11.54  	| (158)  ? [v0] : (multiplication(all_0_4_4, v0) = all_59_0_45 & multiplication(a, sigma) = v0)
% 39.46/11.54  	|
% 39.46/11.54  	| Instantiating formula (12) with all_71_1_65, all_17_1_19, a, a, a and discharging atoms multiplication(a, all_17_1_19) = all_71_1_65, multiplication(a, a) = all_17_1_19, yields:
% 39.46/11.54  	| (159)  ? [v0] : (multiplication(v0, a) = all_71_1_65 & multiplication(a, a) = v0)
% 39.46/11.54  	|
% 39.46/11.54  	| Instantiating formula (29) with all_0_1_1, all_0_2_2, all_0_5_5, all_71_1_65, all_0_4_4 and discharging atoms multiplication(all_0_4_4, all_0_2_2) = all_0_1_1, addition(all_71_1_65, all_0_5_5) = all_0_2_2, yields:
% 39.46/11.54  	| (160)  ? [v0] :  ? [v1] : (multiplication(all_0_4_4, all_71_1_65) = v0 & multiplication(all_0_4_4, all_0_5_5) = v1 & addition(v0, v1) = all_0_1_1)
% 39.46/11.54  	|
% 39.46/11.54  	| Instantiating formula (37) with all_27_1_26, all_0_4_4, sigma, all_0_4_4, all_27_0_25 and discharging atoms multiplication(all_0_4_4, sigma) = all_27_1_26, addition(all_27_0_25, all_0_4_4) = all_0_4_4, yields:
% 39.46/11.54  	| (161)  ? [v0] :  ? [v1] : (multiplication(all_27_0_25, sigma) = v0 & multiplication(all_0_4_4, sigma) = v1 & addition(v0, v1) = all_27_1_26)
% 39.46/11.54  	|
% 39.46/11.54  	| Instantiating formula (29) with all_25_1_24, all_0_4_4, all_0_4_4, all_27_0_25, sigma and discharging atoms multiplication(sigma, all_0_4_4) = all_25_1_24, addition(all_27_0_25, all_0_4_4) = all_0_4_4, yields:
% 39.46/11.54  	| (162)  ? [v0] :  ? [v1] : (multiplication(sigma, all_27_0_25) = v0 & multiplication(sigma, all_0_4_4) = v1 & addition(v0, v1) = all_25_1_24)
% 39.46/11.54  	|
% 39.46/11.54  	| Instantiating formula (37) with all_56_0_41, all_0_4_4, all_21_0_21, all_0_4_4, all_27_0_25 and discharging atoms multiplication(all_0_4_4, all_21_0_21) = all_56_0_41, addition(all_27_0_25, all_0_4_4) = all_0_4_4, yields:
% 39.46/11.54  	| (163)  ? [v0] :  ? [v1] : (multiplication(all_27_0_25, all_21_0_21) = v0 & multiplication(all_0_4_4, all_21_0_21) = v1 & addition(v0, v1) = all_56_0_41)
% 39.46/11.54  	|
% 39.46/11.54  	| Instantiating formula (42) with all_0_4_4, all_27_0_25, one, all_27_1_26, all_0_4_4 and discharging atoms addition(all_27_0_25, all_0_4_4) = all_0_4_4, addition(one, all_27_1_26) = all_27_0_25, yields:
% 39.46/11.54  	| (164)  ? [v0] : (addition(all_27_1_26, all_0_4_4) = v0 & addition(one, v0) = all_0_4_4)
% 39.46/11.54  	|
% 39.46/11.54  	| Instantiating formula (2) with all_0_4_4, all_0_4_4, all_27_0_25, all_27_0_25, all_0_4_4 and discharging atoms addition(all_27_0_25, all_0_4_4) = all_0_4_4, yields:
% 39.46/11.54  	| (165)  ? [v0] : (addition(v0, all_0_4_4) = all_0_4_4 & addition(all_27_0_25, all_27_0_25) = v0)
% 39.46/11.54  	|
% 39.46/11.54  	| Instantiating formula (24) with all_0_4_4, all_27_0_25, all_0_4_4 and discharging atoms addition(all_27_0_25, all_0_4_4) = all_0_4_4, yields:
% 39.46/11.54  	| (166) addition(all_0_4_4, all_27_0_25) = all_0_4_4
% 39.46/11.54  	|
% 39.46/11.54  	| Instantiating formula (19) with all_27_0_25, all_27_1_26, one, sigma, all_0_4_4 and discharging atoms multiplication(all_0_4_4, sigma) = all_27_1_26, addition(all_27_1_26, one) = all_27_0_25, yields:
% 39.46/11.54  	| (167)  ? [v0] :  ? [v1] :  ? [v2] : ((v2 = 0 & star(sigma) = v0 & leq(v1, all_0_4_4) = 0 & multiplication(one, v0) = v1) | ( ~ (v0 = 0) & leq(all_27_0_25, all_0_4_4) = v0))
% 39.46/11.54  	|
% 39.46/11.54  	| Instantiating formula (42) with all_0_4_4, all_27_0_25, all_27_1_26, one, all_0_4_4 and discharging atoms addition(all_27_0_25, all_0_4_4) = all_0_4_4, addition(all_27_1_26, one) = all_27_0_25, yields:
% 39.46/11.54  	| (168)  ? [v0] : (addition(all_27_1_26, v0) = all_0_4_4 & addition(one, all_0_4_4) = v0)
% 39.46/11.54  	|
% 39.46/11.54  	| Instantiating formula (37) with all_27_1_26, all_0_4_4, sigma, all_0_4_4, all_25_0_23 and discharging atoms multiplication(all_0_4_4, sigma) = all_27_1_26, addition(all_25_0_23, all_0_4_4) = all_0_4_4, yields:
% 39.46/11.54  	| (169)  ? [v0] :  ? [v1] : (multiplication(all_25_0_23, sigma) = v0 & multiplication(all_0_4_4, sigma) = v1 & addition(v0, v1) = all_27_1_26)
% 39.46/11.54  	|
% 39.46/11.54  	| Instantiating formula (29) with all_25_1_24, all_0_4_4, all_0_4_4, all_25_0_23, sigma and discharging atoms multiplication(sigma, all_0_4_4) = all_25_1_24, addition(all_25_0_23, all_0_4_4) = all_0_4_4, yields:
% 39.46/11.54  	| (170)  ? [v0] :  ? [v1] : (multiplication(sigma, all_25_0_23) = v0 & multiplication(sigma, all_0_4_4) = v1 & addition(v0, v1) = all_25_1_24)
% 39.46/11.54  	|
% 39.46/11.54  	| Instantiating formula (37) with all_56_0_41, all_0_4_4, all_21_0_21, all_0_4_4, all_25_0_23 and discharging atoms multiplication(all_0_4_4, all_21_0_21) = all_56_0_41, addition(all_25_0_23, all_0_4_4) = all_0_4_4, yields:
% 39.46/11.54  	| (171)  ? [v0] :  ? [v1] : (multiplication(all_25_0_23, all_21_0_21) = v0 & multiplication(all_0_4_4, all_21_0_21) = v1 & addition(v0, v1) = all_56_0_41)
% 39.46/11.54  	|
% 39.46/11.54  	| Instantiating formula (42) with all_0_4_4, all_25_0_23, one, all_25_1_24, all_0_4_4 and discharging atoms addition(all_25_0_23, all_0_4_4) = all_0_4_4, addition(one, all_25_1_24) = all_25_0_23, yields:
% 39.46/11.54  	| (172)  ? [v0] : (addition(all_25_1_24, all_0_4_4) = v0 & addition(one, v0) = all_0_4_4)
% 39.46/11.54  	|
% 39.46/11.54  	| Instantiating formula (2) with all_0_4_4, all_0_4_4, all_25_0_23, all_27_0_25, all_0_4_4 and discharging atoms addition(all_27_0_25, all_0_4_4) = all_0_4_4, addition(all_25_0_23, all_0_4_4) = all_0_4_4, yields:
% 39.46/11.54  	| (173)  ? [v0] : (addition(v0, all_0_4_4) = all_0_4_4 & addition(all_25_0_23, all_27_0_25) = v0)
% 39.46/11.54  	|
% 39.46/11.54  	| Instantiating formula (2) with all_0_4_4, all_0_4_4, all_27_0_25, all_25_0_23, all_0_4_4 and discharging atoms addition(all_27_0_25, all_0_4_4) = all_0_4_4, addition(all_25_0_23, all_0_4_4) = all_0_4_4, yields:
% 39.46/11.54  	| (174)  ? [v0] : (addition(v0, all_0_4_4) = all_0_4_4 & addition(all_27_0_25, all_25_0_23) = v0)
% 39.46/11.54  	|
% 39.46/11.54  	| Instantiating formula (2) with all_0_4_4, all_0_4_4, all_25_0_23, all_25_0_23, all_0_4_4 and discharging atoms addition(all_25_0_23, all_0_4_4) = all_0_4_4, yields:
% 39.46/11.54  	| (175)  ? [v0] : (addition(v0, all_0_4_4) = all_0_4_4 & addition(all_25_0_23, all_25_0_23) = v0)
% 39.46/11.54  	|
% 39.46/11.54  	| Instantiating formula (24) with all_0_4_4, all_25_0_23, all_0_4_4 and discharging atoms addition(all_25_0_23, all_0_4_4) = all_0_4_4, yields:
% 39.46/11.54  	| (176) addition(all_0_4_4, all_25_0_23) = all_0_4_4
% 39.46/11.54  	|
% 39.46/11.54  	| Instantiating formula (4) with all_25_0_23, all_25_1_24, one, all_0_4_4, sigma and discharging atoms multiplication(sigma, all_0_4_4) = all_25_1_24, addition(all_25_1_24, one) = all_25_0_23, yields:
% 39.46/11.55  	| (177)  ? [v0] :  ? [v1] :  ? [v2] : ((v2 = 0 & star(sigma) = v0 & leq(v1, all_0_4_4) = 0 & multiplication(v0, one) = v1) | ( ~ (v0 = 0) & leq(all_25_0_23, all_0_4_4) = v0))
% 39.46/11.55  	|
% 39.46/11.55  	| Instantiating formula (42) with all_0_4_4, all_25_0_23, all_25_1_24, one, all_0_4_4 and discharging atoms addition(all_25_0_23, all_0_4_4) = all_0_4_4, addition(all_25_1_24, one) = all_25_0_23, yields:
% 39.46/11.55  	| (178)  ? [v0] : (addition(all_25_1_24, v0) = all_0_4_4 & addition(one, all_0_4_4) = v0)
% 39.46/11.55  	|
% 39.46/11.55  	| Instantiating formula (37) with all_0_2_2, all_21_0_21, a, all_17_1_19, all_19_0_20 and discharging atoms multiplication(all_21_0_21, a) = all_0_2_2, addition(all_19_0_20, all_17_1_19) = all_21_0_21, yields:
% 39.46/11.55  	| (179)  ? [v0] :  ? [v1] : (multiplication(all_19_0_20, a) = v0 & multiplication(all_17_1_19, a) = v1 & addition(v0, v1) = all_0_2_2)
% 39.46/11.55  	|
% 39.46/11.55  	| Instantiating formula (29) with all_56_0_41, all_21_0_21, all_17_1_19, all_19_0_20, all_0_4_4 and discharging atoms multiplication(all_0_4_4, all_21_0_21) = all_56_0_41, addition(all_19_0_20, all_17_1_19) = all_21_0_21, yields:
% 39.46/11.55  	| (180)  ? [v0] :  ? [v1] : (multiplication(all_0_4_4, all_19_0_20) = v0 & multiplication(all_0_4_4, all_17_1_19) = v1 & addition(v0, v1) = all_56_0_41)
% 39.46/11.55  	|
% 39.46/11.55  	| Instantiating formula (37) with all_0_2_2, all_21_0_21, a, all_19_0_20, all_17_1_19 and discharging atoms multiplication(all_21_0_21, a) = all_0_2_2, addition(all_17_1_19, all_19_0_20) = all_21_0_21, yields:
% 39.46/11.55  	| (181)  ? [v0] :  ? [v1] : (multiplication(all_19_0_20, a) = v1 & multiplication(all_17_1_19, a) = v0 & addition(v0, v1) = all_0_2_2)
% 39.46/11.55  	|
% 39.46/11.55  	| Instantiating formula (29) with all_56_0_41, all_21_0_21, all_19_0_20, all_17_1_19, all_0_4_4 and discharging atoms multiplication(all_0_4_4, all_21_0_21) = all_56_0_41, addition(all_17_1_19, all_19_0_20) = all_21_0_21, yields:
% 39.46/11.55  	| (182)  ? [v0] :  ? [v1] : (multiplication(all_0_4_4, all_19_0_20) = v1 & multiplication(all_0_4_4, all_17_1_19) = v0 & addition(v0, v1) = all_56_0_41)
% 39.46/11.55  	|
% 39.46/11.55  	| Instantiating formula (42) with all_33_0_27, all_0_1_1, all_69_1_63, all_69_0_62, all_0_5_5 and discharging atoms addition(all_69_1_63, all_69_0_62) = all_0_1_1, addition(all_0_1_1, all_0_5_5) = all_33_0_27, yields:
% 39.46/11.55  	| (183)  ? [v0] : (addition(all_69_0_62, all_0_5_5) = v0 & addition(all_69_1_63, v0) = all_33_0_27)
% 39.46/11.55  	|
% 39.46/11.55  	| Instantiating formula (29) with all_0_1_1, all_0_3_3, all_17_1_19, all_0_6_6, all_23_0_22 and discharging atoms multiplication(all_23_0_22, all_0_3_3) = all_0_1_1, addition(all_0_6_6, all_17_1_19) = all_0_3_3, yields:
% 39.46/11.55  	| (184)  ? [v0] :  ? [v1] : (multiplication(all_23_0_22, all_17_1_19) = v1 & multiplication(all_23_0_22, all_0_6_6) = v0 & addition(v0, v1) = all_0_1_1)
% 39.46/11.55  	|
% 39.46/11.55  	| Instantiating (181) with all_84_0_69, all_84_1_70 yields:
% 39.46/11.55  	| (185) multiplication(all_19_0_20, a) = all_84_0_69 & multiplication(all_17_1_19, a) = all_84_1_70 & addition(all_84_1_70, all_84_0_69) = all_0_2_2
% 39.46/11.55  	|
% 39.46/11.55  	| Applying alpha-rule on (185) yields:
% 39.46/11.55  	| (186) multiplication(all_19_0_20, a) = all_84_0_69
% 39.46/11.55  	| (187) multiplication(all_17_1_19, a) = all_84_1_70
% 39.46/11.55  	| (188) addition(all_84_1_70, all_84_0_69) = all_0_2_2
% 39.46/11.55  	|
% 39.46/11.55  	| Instantiating (179) with all_87_0_74, all_87_1_75 yields:
% 39.46/11.55  	| (189) multiplication(all_19_0_20, a) = all_87_1_75 & multiplication(all_17_1_19, a) = all_87_0_74 & addition(all_87_1_75, all_87_0_74) = all_0_2_2
% 39.46/11.55  	|
% 39.46/11.55  	| Applying alpha-rule on (189) yields:
% 39.46/11.55  	| (190) multiplication(all_19_0_20, a) = all_87_1_75
% 39.46/11.55  	| (191) multiplication(all_17_1_19, a) = all_87_0_74
% 39.46/11.55  	| (192) addition(all_87_1_75, all_87_0_74) = all_0_2_2
% 39.46/11.55  	|
% 39.46/11.55  	| Instantiating (180) with all_89_0_76, all_89_1_77 yields:
% 39.46/11.55  	| (193) multiplication(all_0_4_4, all_19_0_20) = all_89_1_77 & multiplication(all_0_4_4, all_17_1_19) = all_89_0_76 & addition(all_89_1_77, all_89_0_76) = all_56_0_41
% 39.46/11.55  	|
% 39.46/11.55  	| Applying alpha-rule on (193) yields:
% 39.46/11.55  	| (194) multiplication(all_0_4_4, all_19_0_20) = all_89_1_77
% 39.46/11.55  	| (195) multiplication(all_0_4_4, all_17_1_19) = all_89_0_76
% 39.46/11.55  	| (196) addition(all_89_1_77, all_89_0_76) = all_56_0_41
% 39.46/11.55  	|
% 39.46/11.55  	| Instantiating (164) with all_100_0_90 yields:
% 39.46/11.55  	| (197) addition(all_27_1_26, all_0_4_4) = all_100_0_90 & addition(one, all_100_0_90) = all_0_4_4
% 39.46/11.55  	|
% 39.46/11.55  	| Applying alpha-rule on (197) yields:
% 39.46/11.55  	| (198) addition(all_27_1_26, all_0_4_4) = all_100_0_90
% 39.46/11.55  	| (199) addition(one, all_100_0_90) = all_0_4_4
% 39.46/11.55  	|
% 39.46/11.55  	| Instantiating (168) with all_104_0_93 yields:
% 39.46/11.55  	| (200) addition(all_27_1_26, all_104_0_93) = all_0_4_4 & addition(one, all_0_4_4) = all_104_0_93
% 39.46/11.55  	|
% 39.46/11.55  	| Applying alpha-rule on (200) yields:
% 39.46/11.55  	| (201) addition(all_27_1_26, all_104_0_93) = all_0_4_4
% 39.46/11.55  	| (202) addition(one, all_0_4_4) = all_104_0_93
% 39.46/11.55  	|
% 39.46/11.55  	| Instantiating (178) with all_115_0_108 yields:
% 39.46/11.55  	| (203) addition(all_25_1_24, all_115_0_108) = all_0_4_4 & addition(one, all_0_4_4) = all_115_0_108
% 39.46/11.55  	|
% 39.46/11.55  	| Applying alpha-rule on (203) yields:
% 39.46/11.55  	| (204) addition(all_25_1_24, all_115_0_108) = all_0_4_4
% 39.46/11.55  	| (205) addition(one, all_0_4_4) = all_115_0_108
% 39.46/11.55  	|
% 39.46/11.55  	| Instantiating (175) with all_125_0_118 yields:
% 39.46/11.55  	| (206) addition(all_125_0_118, all_0_4_4) = all_0_4_4 & addition(all_25_0_23, all_25_0_23) = all_125_0_118
% 39.46/11.55  	|
% 39.46/11.55  	| Applying alpha-rule on (206) yields:
% 39.46/11.55  	| (207) addition(all_125_0_118, all_0_4_4) = all_0_4_4
% 39.46/11.55  	| (208) addition(all_25_0_23, all_25_0_23) = all_125_0_118
% 39.46/11.55  	|
% 39.46/11.55  	| Instantiating (174) with all_127_0_119 yields:
% 39.46/11.55  	| (209) addition(all_127_0_119, all_0_4_4) = all_0_4_4 & addition(all_27_0_25, all_25_0_23) = all_127_0_119
% 39.46/11.55  	|
% 39.46/11.55  	| Applying alpha-rule on (209) yields:
% 39.46/11.55  	| (210) addition(all_127_0_119, all_0_4_4) = all_0_4_4
% 39.46/11.55  	| (211) addition(all_27_0_25, all_25_0_23) = all_127_0_119
% 39.46/11.55  	|
% 39.46/11.55  	| Instantiating (173) with all_129_0_120 yields:
% 39.46/11.55  	| (212) addition(all_129_0_120, all_0_4_4) = all_0_4_4 & addition(all_25_0_23, all_27_0_25) = all_129_0_120
% 39.46/11.55  	|
% 39.46/11.55  	| Applying alpha-rule on (212) yields:
% 39.46/11.55  	| (213) addition(all_129_0_120, all_0_4_4) = all_0_4_4
% 39.46/11.55  	| (214) addition(all_25_0_23, all_27_0_25) = all_129_0_120
% 39.46/11.55  	|
% 39.46/11.55  	| Instantiating (160) with all_131_0_121, all_131_1_122 yields:
% 39.46/11.55  	| (215) multiplication(all_0_4_4, all_71_1_65) = all_131_1_122 & multiplication(all_0_4_4, all_0_5_5) = all_131_0_121 & addition(all_131_1_122, all_131_0_121) = all_0_1_1
% 39.46/11.55  	|
% 39.46/11.55  	| Applying alpha-rule on (215) yields:
% 39.46/11.55  	| (216) multiplication(all_0_4_4, all_71_1_65) = all_131_1_122
% 39.46/11.56  	| (217) multiplication(all_0_4_4, all_0_5_5) = all_131_0_121
% 39.46/11.56  	| (218) addition(all_131_1_122, all_131_0_121) = all_0_1_1
% 39.46/11.56  	|
% 39.46/11.56  	| Instantiating (159) with all_135_0_124 yields:
% 39.46/11.56  	| (219) multiplication(all_135_0_124, a) = all_71_1_65 & multiplication(a, a) = all_135_0_124
% 39.46/11.56  	|
% 39.46/11.56  	| Applying alpha-rule on (219) yields:
% 39.46/11.56  	| (220) multiplication(all_135_0_124, a) = all_71_1_65
% 39.46/11.56  	| (221) multiplication(a, a) = all_135_0_124
% 39.46/11.56  	|
% 39.46/11.56  	| Instantiating (172) with all_151_0_146 yields:
% 39.46/11.56  	| (222) addition(all_25_1_24, all_0_4_4) = all_151_0_146 & addition(one, all_151_0_146) = all_0_4_4
% 39.46/11.56  	|
% 39.46/11.56  	| Applying alpha-rule on (222) yields:
% 39.46/11.56  	| (223) addition(all_25_1_24, all_0_4_4) = all_151_0_146
% 39.46/11.56  	| (224) addition(one, all_151_0_146) = all_0_4_4
% 39.46/11.56  	|
% 39.46/11.56  	| Instantiating (177) with all_155_0_149, all_155_1_150, all_155_2_151 yields:
% 39.46/11.56  	| (225) (all_155_0_149 = 0 & star(sigma) = all_155_2_151 & leq(all_155_1_150, all_0_4_4) = 0 & multiplication(all_155_2_151, one) = all_155_1_150) | ( ~ (all_155_2_151 = 0) & leq(all_25_0_23, all_0_4_4) = all_155_2_151)
% 39.46/11.56  	|
% 39.46/11.56  	| Instantiating (184) with all_157_0_155, all_157_1_156 yields:
% 39.46/11.56  	| (226) multiplication(all_23_0_22, all_17_1_19) = all_157_0_155 & multiplication(all_23_0_22, all_0_6_6) = all_157_1_156 & addition(all_157_1_156, all_157_0_155) = all_0_1_1
% 39.46/11.56  	|
% 39.46/11.56  	| Applying alpha-rule on (226) yields:
% 39.46/11.56  	| (227) multiplication(all_23_0_22, all_17_1_19) = all_157_0_155
% 39.46/11.56  	| (228) multiplication(all_23_0_22, all_0_6_6) = all_157_1_156
% 39.46/11.56  	| (229) addition(all_157_1_156, all_157_0_155) = all_0_1_1
% 39.46/11.56  	|
% 39.46/11.56  	| Instantiating (183) with all_159_0_157 yields:
% 39.46/11.56  	| (230) addition(all_69_0_62, all_0_5_5) = all_159_0_157 & addition(all_69_1_63, all_159_0_157) = all_33_0_27
% 39.46/11.56  	|
% 39.46/11.56  	| Applying alpha-rule on (230) yields:
% 39.46/11.56  	| (231) addition(all_69_0_62, all_0_5_5) = all_159_0_157
% 39.46/11.56  	| (232) addition(all_69_1_63, all_159_0_157) = all_33_0_27
% 39.46/11.56  	|
% 39.46/11.56  	| Instantiating (182) with all_173_0_184, all_173_1_185 yields:
% 39.46/11.56  	| (233) multiplication(all_0_4_4, all_19_0_20) = all_173_0_184 & multiplication(all_0_4_4, all_17_1_19) = all_173_1_185 & addition(all_173_1_185, all_173_0_184) = all_56_0_41
% 39.46/11.56  	|
% 39.46/11.56  	| Applying alpha-rule on (233) yields:
% 39.46/11.56  	| (234) multiplication(all_0_4_4, all_19_0_20) = all_173_0_184
% 39.46/11.56  	| (235) multiplication(all_0_4_4, all_17_1_19) = all_173_1_185
% 39.46/11.56  	| (236) addition(all_173_1_185, all_173_0_184) = all_56_0_41
% 39.46/11.56  	|
% 39.46/11.56  	| Instantiating (171) with all_177_0_188, all_177_1_189 yields:
% 39.46/11.56  	| (237) multiplication(all_25_0_23, all_21_0_21) = all_177_1_189 & multiplication(all_0_4_4, all_21_0_21) = all_177_0_188 & addition(all_177_1_189, all_177_0_188) = all_56_0_41
% 39.46/11.56  	|
% 39.46/11.56  	| Applying alpha-rule on (237) yields:
% 39.46/11.56  	| (238) multiplication(all_25_0_23, all_21_0_21) = all_177_1_189
% 39.46/11.56  	| (239) multiplication(all_0_4_4, all_21_0_21) = all_177_0_188
% 39.46/11.56  	| (240) addition(all_177_1_189, all_177_0_188) = all_56_0_41
% 39.46/11.56  	|
% 39.46/11.56  	| Instantiating (161) with all_179_0_190, all_179_1_191 yields:
% 39.46/11.56  	| (241) multiplication(all_27_0_25, sigma) = all_179_1_191 & multiplication(all_0_4_4, sigma) = all_179_0_190 & addition(all_179_1_191, all_179_0_190) = all_27_1_26
% 39.46/11.56  	|
% 39.46/11.56  	| Applying alpha-rule on (241) yields:
% 39.46/11.56  	| (242) multiplication(all_27_0_25, sigma) = all_179_1_191
% 39.46/11.56  	| (243) multiplication(all_0_4_4, sigma) = all_179_0_190
% 39.46/11.56  	| (244) addition(all_179_1_191, all_179_0_190) = all_27_1_26
% 39.46/11.56  	|
% 39.46/11.56  	| Instantiating (170) with all_181_0_192, all_181_1_193 yields:
% 39.46/11.56  	| (245) multiplication(sigma, all_25_0_23) = all_181_1_193 & multiplication(sigma, all_0_4_4) = all_181_0_192 & addition(all_181_1_193, all_181_0_192) = all_25_1_24
% 39.46/11.56  	|
% 39.46/11.56  	| Applying alpha-rule on (245) yields:
% 39.46/11.56  	| (246) multiplication(sigma, all_25_0_23) = all_181_1_193
% 39.46/11.56  	| (247) multiplication(sigma, all_0_4_4) = all_181_0_192
% 39.46/11.56  	| (248) addition(all_181_1_193, all_181_0_192) = all_25_1_24
% 39.46/11.56  	|
% 39.46/11.56  	| Instantiating (163) with all_184_0_197, all_184_1_198 yields:
% 39.46/11.56  	| (249) multiplication(all_27_0_25, all_21_0_21) = all_184_1_198 & multiplication(all_0_4_4, all_21_0_21) = all_184_0_197 & addition(all_184_1_198, all_184_0_197) = all_56_0_41
% 39.46/11.56  	|
% 39.46/11.56  	| Applying alpha-rule on (249) yields:
% 39.46/11.56  	| (250) multiplication(all_27_0_25, all_21_0_21) = all_184_1_198
% 39.46/11.56  	| (251) multiplication(all_0_4_4, all_21_0_21) = all_184_0_197
% 39.46/11.56  	| (252) addition(all_184_1_198, all_184_0_197) = all_56_0_41
% 39.46/11.56  	|
% 39.46/11.56  	| Instantiating (169) with all_190_0_203, all_190_1_204 yields:
% 39.46/11.56  	| (253) multiplication(all_25_0_23, sigma) = all_190_1_204 & multiplication(all_0_4_4, sigma) = all_190_0_203 & addition(all_190_1_204, all_190_0_203) = all_27_1_26
% 39.46/11.56  	|
% 39.46/11.56  	| Applying alpha-rule on (253) yields:
% 39.46/11.56  	| (254) multiplication(all_25_0_23, sigma) = all_190_1_204
% 39.46/11.56  	| (255) multiplication(all_0_4_4, sigma) = all_190_0_203
% 39.46/11.56  	| (256) addition(all_190_1_204, all_190_0_203) = all_27_1_26
% 39.46/11.56  	|
% 39.46/11.56  	| Instantiating (162) with all_194_0_207, all_194_1_208 yields:
% 39.46/11.56  	| (257) multiplication(sigma, all_27_0_25) = all_194_1_208 & multiplication(sigma, all_0_4_4) = all_194_0_207 & addition(all_194_1_208, all_194_0_207) = all_25_1_24
% 39.46/11.56  	|
% 39.46/11.56  	| Applying alpha-rule on (257) yields:
% 39.46/11.56  	| (258) multiplication(sigma, all_27_0_25) = all_194_1_208
% 39.46/11.56  	| (259) multiplication(sigma, all_0_4_4) = all_194_0_207
% 39.46/11.56  	| (260) addition(all_194_1_208, all_194_0_207) = all_25_1_24
% 39.46/11.56  	|
% 39.46/11.56  	| Instantiating (165) with all_196_0_209 yields:
% 39.46/11.56  	| (261) addition(all_196_0_209, all_0_4_4) = all_0_4_4 & addition(all_27_0_25, all_27_0_25) = all_196_0_209
% 39.46/11.56  	|
% 39.46/11.56  	| Applying alpha-rule on (261) yields:
% 39.46/11.56  	| (262) addition(all_196_0_209, all_0_4_4) = all_0_4_4
% 39.46/11.56  	| (263) addition(all_27_0_25, all_27_0_25) = all_196_0_209
% 39.46/11.56  	|
% 39.46/11.56  	| Instantiating (167) with all_200_0_211, all_200_1_212, all_200_2_213 yields:
% 39.46/11.56  	| (264) (all_200_0_211 = 0 & star(sigma) = all_200_2_213 & leq(all_200_1_212, all_0_4_4) = 0 & multiplication(one, all_200_2_213) = all_200_1_212) | ( ~ (all_200_2_213 = 0) & leq(all_27_0_25, all_0_4_4) = all_200_2_213)
% 39.46/11.56  	|
% 39.46/11.56  	| Instantiating (158) with all_205_0_222 yields:
% 39.46/11.56  	| (265) multiplication(all_0_4_4, all_205_0_222) = all_59_0_45 & multiplication(a, sigma) = all_205_0_222
% 39.46/11.56  	|
% 39.46/11.56  	| Applying alpha-rule on (265) yields:
% 39.46/11.56  	| (266) multiplication(all_0_4_4, all_205_0_222) = all_59_0_45
% 39.46/11.57  	| (267) multiplication(a, sigma) = all_205_0_222
% 39.46/11.57  	|
% 39.46/11.57  	| Instantiating (156) with all_213_0_226 yields:
% 39.46/11.57  	| (268) multiplication(all_0_4_4, all_213_0_226) = all_69_1_63 & multiplication(a, all_17_1_19) = all_213_0_226
% 39.46/11.57  	|
% 39.46/11.57  	| Applying alpha-rule on (268) yields:
% 39.46/11.57  	| (269) multiplication(all_0_4_4, all_213_0_226) = all_69_1_63
% 39.46/11.57  	| (270) multiplication(a, all_17_1_19) = all_213_0_226
% 39.46/11.57  	|
% 39.46/11.57  	| Instantiating (157) with all_217_0_228 yields:
% 39.46/11.57  	| (271) multiplication(all_0_4_4, all_217_0_228) = all_69_0_62 & multiplication(a, all_0_6_6) = all_217_0_228
% 39.46/11.57  	|
% 39.46/11.57  	| Applying alpha-rule on (271) yields:
% 39.46/11.57  	| (272) multiplication(all_0_4_4, all_217_0_228) = all_69_0_62
% 39.46/11.57  	| (273) multiplication(a, all_0_6_6) = all_217_0_228
% 39.46/11.57  	|
% 39.46/11.57  	+-Applying beta-rule and splitting (264), into two cases.
% 39.46/11.57  	|-Branch one:
% 39.46/11.57  	| (274) all_200_0_211 = 0 & star(sigma) = all_200_2_213 & leq(all_200_1_212, all_0_4_4) = 0 & multiplication(one, all_200_2_213) = all_200_1_212
% 39.46/11.57  	|
% 39.46/11.57  		| Applying alpha-rule on (274) yields:
% 39.46/11.57  		| (275) all_200_0_211 = 0
% 39.46/11.57  		| (276) star(sigma) = all_200_2_213
% 39.46/11.57  		| (277) leq(all_200_1_212, all_0_4_4) = 0
% 39.46/11.57  		| (278) multiplication(one, all_200_2_213) = all_200_1_212
% 39.46/11.57  		|
% 39.46/11.57  		+-Applying beta-rule and splitting (225), into two cases.
% 39.46/11.57  		|-Branch one:
% 39.46/11.57  		| (279) all_155_0_149 = 0 & star(sigma) = all_155_2_151 & leq(all_155_1_150, all_0_4_4) = 0 & multiplication(all_155_2_151, one) = all_155_1_150
% 39.46/11.57  		|
% 39.46/11.57  			| Applying alpha-rule on (279) yields:
% 39.46/11.57  			| (280) all_155_0_149 = 0
% 39.46/11.57  			| (281) star(sigma) = all_155_2_151
% 39.46/11.57  			| (282) leq(all_155_1_150, all_0_4_4) = 0
% 39.46/11.57  			| (283) multiplication(all_155_2_151, one) = all_155_1_150
% 39.46/11.57  			|
% 39.46/11.57  			| Instantiating formula (11) with sigma, all_200_2_213, all_0_4_4 and discharging atoms star(sigma) = all_200_2_213, star(sigma) = all_0_4_4, yields:
% 39.46/11.57  			| (284) all_200_2_213 = all_0_4_4
% 39.46/11.57  			|
% 39.46/11.57  			| Instantiating formula (11) with sigma, all_155_2_151, all_200_2_213 and discharging atoms star(sigma) = all_200_2_213, star(sigma) = all_155_2_151, yields:
% 39.46/11.57  			| (285) all_200_2_213 = all_155_2_151
% 39.46/11.57  			|
% 39.46/11.57  			| Instantiating formula (41) with all_155_1_150, all_155_2_151 and discharging atoms multiplication(all_155_2_151, one) = all_155_1_150, yields:
% 39.46/11.57  			| (286) all_155_1_150 = all_155_2_151
% 39.46/11.57  			|
% 39.46/11.57  			| Instantiating formula (20) with all_23_0_22, all_17_1_19, all_157_0_155, all_69_1_63 and discharging atoms multiplication(all_23_0_22, all_17_1_19) = all_157_0_155, multiplication(all_23_0_22, all_17_1_19) = all_69_1_63, yields:
% 39.46/11.57  			| (287) all_157_0_155 = all_69_1_63
% 39.46/11.57  			|
% 39.46/11.57  			| Instantiating formula (20) with all_23_0_22, all_0_6_6, all_157_1_156, all_69_0_62 and discharging atoms multiplication(all_23_0_22, all_0_6_6) = all_157_1_156, multiplication(all_23_0_22, all_0_6_6) = all_69_0_62, yields:
% 39.46/11.57  			| (288) all_157_1_156 = all_69_0_62
% 39.46/11.57  			|
% 39.46/11.57  			| Instantiating formula (20) with all_19_0_20, a, all_87_1_75, all_0_5_5 and discharging atoms multiplication(all_19_0_20, a) = all_87_1_75, multiplication(all_19_0_20, a) = all_0_5_5, yields:
% 39.46/11.57  			| (289) all_87_1_75 = all_0_5_5
% 39.46/11.57  			|
% 39.46/11.57  			| Instantiating formula (20) with all_19_0_20, a, all_84_0_69, all_87_1_75 and discharging atoms multiplication(all_19_0_20, a) = all_87_1_75, multiplication(all_19_0_20, a) = all_84_0_69, yields:
% 39.46/11.57  			| (290) all_87_1_75 = all_84_0_69
% 39.46/11.57  			|
% 39.46/11.57  			| Instantiating formula (20) with all_17_1_19, a, all_84_1_70, all_87_0_74 and discharging atoms multiplication(all_17_1_19, a) = all_87_0_74, multiplication(all_17_1_19, a) = all_84_1_70, yields:
% 39.46/11.57  			| (291) all_87_0_74 = all_84_1_70
% 39.46/11.57  			|
% 39.46/11.57  			| Instantiating formula (20) with all_0_4_4, all_21_0_21, all_184_0_197, all_56_0_41 and discharging atoms multiplication(all_0_4_4, all_21_0_21) = all_184_0_197, multiplication(all_0_4_4, all_21_0_21) = all_56_0_41, yields:
% 39.46/11.57  			| (292) all_184_0_197 = all_56_0_41
% 39.46/11.57  			|
% 39.46/11.57  			| Instantiating formula (20) with all_0_4_4, all_21_0_21, all_177_0_188, all_184_0_197 and discharging atoms multiplication(all_0_4_4, all_21_0_21) = all_184_0_197, multiplication(all_0_4_4, all_21_0_21) = all_177_0_188, yields:
% 39.46/11.57  			| (293) all_184_0_197 = all_177_0_188
% 39.46/11.57  			|
% 39.46/11.57  			| Instantiating formula (20) with all_0_4_4, all_19_0_20, all_89_1_77, all_173_0_184 and discharging atoms multiplication(all_0_4_4, all_19_0_20) = all_173_0_184, multiplication(all_0_4_4, all_19_0_20) = all_89_1_77, yields:
% 39.46/11.57  			| (294) all_173_0_184 = all_89_1_77
% 39.46/11.57  			|
% 39.46/11.57  			| Instantiating formula (20) with all_0_4_4, all_17_1_19, all_89_0_76, all_173_1_185 and discharging atoms multiplication(all_0_4_4, all_17_1_19) = all_173_1_185, multiplication(all_0_4_4, all_17_1_19) = all_89_0_76, yields:
% 39.46/11.57  			| (295) all_173_1_185 = all_89_0_76
% 39.46/11.57  			|
% 39.46/11.57  			| Instantiating formula (20) with all_0_4_4, sigma, all_190_0_203, all_27_1_26 and discharging atoms multiplication(all_0_4_4, sigma) = all_190_0_203, multiplication(all_0_4_4, sigma) = all_27_1_26, yields:
% 39.46/11.57  			| (296) all_190_0_203 = all_27_1_26
% 39.46/11.57  			|
% 39.46/11.57  			| Instantiating formula (20) with all_0_4_4, sigma, all_179_0_190, all_190_0_203 and discharging atoms multiplication(all_0_4_4, sigma) = all_190_0_203, multiplication(all_0_4_4, sigma) = all_179_0_190, yields:
% 39.46/11.57  			| (297) all_190_0_203 = all_179_0_190
% 39.46/11.57  			|
% 39.46/11.57  			| Instantiating formula (20) with sigma, all_0_4_4, all_194_0_207, all_25_1_24 and discharging atoms multiplication(sigma, all_0_4_4) = all_194_0_207, multiplication(sigma, all_0_4_4) = all_25_1_24, yields:
% 39.46/11.57  			| (298) all_194_0_207 = all_25_1_24
% 39.46/11.57  			|
% 39.46/11.57  			| Instantiating formula (20) with sigma, all_0_4_4, all_181_0_192, all_194_0_207 and discharging atoms multiplication(sigma, all_0_4_4) = all_194_0_207, multiplication(sigma, all_0_4_4) = all_181_0_192, yields:
% 39.46/11.57  			| (299) all_194_0_207 = all_181_0_192
% 39.46/11.57  			|
% 39.46/11.57  			| Instantiating formula (20) with a, all_17_1_19, all_213_0_226, all_71_1_65 and discharging atoms multiplication(a, all_17_1_19) = all_213_0_226, multiplication(a, all_17_1_19) = all_71_1_65, yields:
% 39.46/11.57  			| (300) all_213_0_226 = all_71_1_65
% 39.46/11.57  			|
% 39.46/11.57  			| Instantiating formula (20) with a, all_0_6_6, all_217_0_228, all_0_5_5 and discharging atoms multiplication(a, all_0_6_6) = all_217_0_228, multiplication(a, all_0_6_6) = all_0_5_5, yields:
% 39.46/11.57  			| (301) all_217_0_228 = all_0_5_5
% 39.46/11.57  			|
% 39.46/11.57  			| Instantiating formula (20) with a, sigma, all_205_0_222, all_21_0_21 and discharging atoms multiplication(a, sigma) = all_205_0_222, multiplication(a, sigma) = all_21_0_21, yields:
% 39.46/11.57  			| (302) all_205_0_222 = all_21_0_21
% 39.46/11.57  			|
% 39.46/11.57  			| Instantiating formula (20) with a, a, all_135_0_124, all_17_1_19 and discharging atoms multiplication(a, a) = all_135_0_124, multiplication(a, a) = all_17_1_19, yields:
% 39.46/11.57  			| (303) all_135_0_124 = all_17_1_19
% 39.46/11.57  			|
% 39.46/11.57  			| Instantiating formula (44) with all_200_1_212, all_200_2_213 and discharging atoms multiplication(one, all_200_2_213) = all_200_1_212, yields:
% 39.46/11.57  			| (304) all_200_1_212 = all_200_2_213
% 39.46/11.57  			|
% 39.46/11.57  			| Instantiating formula (30) with all_196_0_209, all_27_0_25 and discharging atoms addition(all_27_0_25, all_27_0_25) = all_196_0_209, yields:
% 39.46/11.57  			| (305) all_196_0_209 = all_27_0_25
% 39.46/11.57  			|
% 39.46/11.57  			| Instantiating formula (30) with all_125_0_118, all_25_0_23 and discharging atoms addition(all_25_0_23, all_25_0_23) = all_125_0_118, yields:
% 39.46/11.57  			| (306) all_125_0_118 = all_25_0_23
% 39.46/11.57  			|
% 39.46/11.57  			| Instantiating formula (21) with one, all_0_4_4, all_104_0_93, all_115_0_108 and discharging atoms addition(one, all_0_4_4) = all_115_0_108, addition(one, all_0_4_4) = all_104_0_93, yields:
% 39.46/11.57  			| (307) all_115_0_108 = all_104_0_93
% 39.46/11.57  			|
% 39.46/11.57  			| Combining equations (284,285) yields a new equation:
% 39.46/11.57  			| (308) all_155_2_151 = all_0_4_4
% 39.46/11.57  			|
% 39.46/11.57  			| Combining equations (299,298) yields a new equation:
% 39.46/11.57  			| (309) all_181_0_192 = all_25_1_24
% 39.46/11.57  			|
% 39.46/11.57  			| Simplifying 309 yields:
% 39.46/11.57  			| (310) all_181_0_192 = all_25_1_24
% 39.46/11.57  			|
% 39.46/11.57  			| Combining equations (297,296) yields a new equation:
% 39.46/11.57  			| (311) all_179_0_190 = all_27_1_26
% 39.46/11.57  			|
% 39.46/11.57  			| Simplifying 311 yields:
% 39.46/11.57  			| (312) all_179_0_190 = all_27_1_26
% 39.46/11.57  			|
% 39.46/11.57  			| Combining equations (292,293) yields a new equation:
% 39.46/11.57  			| (313) all_177_0_188 = all_56_0_41
% 39.46/11.57  			|
% 39.46/11.57  			| Combining equations (289,290) yields a new equation:
% 39.46/11.57  			| (314) all_84_0_69 = all_0_5_5
% 39.46/11.57  			|
% 39.46/11.57  			| Combining equations (308,286) yields a new equation:
% 39.46/11.57  			| (315) all_155_1_150 = all_0_4_4
% 39.46/11.57  			|
% 39.46/11.57  			| Combining equations (308,285) yields a new equation:
% 39.46/11.57  			| (284) all_200_2_213 = all_0_4_4
% 39.46/11.57  			|
% 39.46/11.57  			| Combining equations (284,304) yields a new equation:
% 39.46/11.57  			| (317) all_200_1_212 = all_0_4_4
% 39.46/11.57  			|
% 39.46/11.57  			| From (308)(315) and (283) follows:
% 39.46/11.57  			| (318) multiplication(all_0_4_4, one) = all_0_4_4
% 39.46/11.57  			|
% 39.46/11.57  			| From (303) and (220) follows:
% 39.46/11.57  			| (319) multiplication(all_17_1_19, a) = all_71_1_65
% 39.46/11.57  			|
% 39.46/11.57  			| From (314) and (186) follows:
% 39.46/11.57  			| (58) multiplication(all_19_0_20, a) = all_0_5_5
% 39.46/11.57  			|
% 39.46/11.57  			| From (291) and (191) follows:
% 39.46/11.57  			| (187) multiplication(all_17_1_19, a) = all_84_1_70
% 39.46/11.57  			|
% 39.46/11.57  			| From (301) and (272) follows:
% 39.46/11.57  			| (322) multiplication(all_0_4_4, all_0_5_5) = all_69_0_62
% 39.46/11.57  			|
% 39.46/11.57  			| From (300) and (269) follows:
% 39.46/11.57  			| (323) multiplication(all_0_4_4, all_71_1_65) = all_69_1_63
% 39.46/11.57  			|
% 39.46/11.57  			| From (302) and (266) follows:
% 39.46/11.57  			| (324) multiplication(all_0_4_4, all_21_0_21) = all_59_0_45
% 39.46/11.57  			|
% 39.46/11.57  			| From (313) and (239) follows:
% 39.46/11.57  			| (116) multiplication(all_0_4_4, all_21_0_21) = all_56_0_41
% 39.46/11.57  			|
% 39.46/11.57  			| From (294) and (234) follows:
% 39.46/11.57  			| (194) multiplication(all_0_4_4, all_19_0_20) = all_89_1_77
% 39.46/11.57  			|
% 39.46/11.57  			| From (295) and (235) follows:
% 39.46/11.57  			| (195) multiplication(all_0_4_4, all_17_1_19) = all_89_0_76
% 39.46/11.57  			|
% 39.46/11.57  			| From (284)(317) and (278) follows:
% 39.46/11.57  			| (328) multiplication(one, all_0_4_4) = all_0_4_4
% 39.46/11.57  			|
% 39.46/11.57  			| From (305) and (262) follows:
% 39.46/11.57  			| (84) addition(all_27_0_25, all_0_4_4) = all_0_4_4
% 39.46/11.57  			|
% 39.46/11.57  			| From (298) and (260) follows:
% 39.46/11.57  			| (330) addition(all_194_1_208, all_25_1_24) = all_25_1_24
% 39.46/11.57  			|
% 39.46/11.57  			| From (296) and (256) follows:
% 39.46/11.57  			| (331) addition(all_190_1_204, all_27_1_26) = all_27_1_26
% 39.46/11.57  			|
% 39.46/11.57  			| From (310) and (248) follows:
% 39.46/11.57  			| (332) addition(all_181_1_193, all_25_1_24) = all_25_1_24
% 39.46/11.57  			|
% 39.46/11.57  			| From (312) and (244) follows:
% 39.46/11.57  			| (333) addition(all_179_1_191, all_27_1_26) = all_27_1_26
% 39.46/11.57  			|
% 39.46/11.57  			| From (295)(294) and (236) follows:
% 39.46/11.57  			| (334) addition(all_89_0_76, all_89_1_77) = all_56_0_41
% 39.46/11.57  			|
% 39.46/11.57  			| From (288)(287) and (229) follows:
% 39.46/11.58  			| (335) addition(all_69_0_62, all_69_1_63) = all_0_1_1
% 39.46/11.58  			|
% 39.46/11.58  			| From (306) and (207) follows:
% 39.46/11.58  			| (85) addition(all_25_0_23, all_0_4_4) = all_0_4_4
% 39.46/11.58  			|
% 39.46/11.58  			| From (307) and (204) follows:
% 39.78/11.58  			| (337) addition(all_25_1_24, all_104_0_93) = all_0_4_4
% 39.78/11.58  			|
% 39.78/11.58  			| From (307) and (205) follows:
% 39.78/11.58  			| (202) addition(one, all_0_4_4) = all_104_0_93
% 39.78/11.58  			|
% 39.78/11.58  			| Instantiating formula (20) with all_17_1_19, a, all_71_1_65, all_84_1_70 and discharging atoms multiplication(all_17_1_19, a) = all_84_1_70, multiplication(all_17_1_19, a) = all_71_1_65, yields:
% 39.78/11.58  			| (339) all_84_1_70 = all_71_1_65
% 39.78/11.58  			|
% 39.78/11.58  			| Instantiating formula (20) with all_0_4_4, all_71_1_65, all_69_1_63, all_131_1_122 and discharging atoms multiplication(all_0_4_4, all_71_1_65) = all_131_1_122, multiplication(all_0_4_4, all_71_1_65) = all_69_1_63, yields:
% 39.78/11.58  			| (340) all_131_1_122 = all_69_1_63
% 39.78/11.58  			|
% 39.78/11.58  			| Instantiating formula (20) with all_0_4_4, all_21_0_21, all_59_0_45, all_56_0_41 and discharging atoms multiplication(all_0_4_4, all_21_0_21) = all_59_0_45, multiplication(all_0_4_4, all_21_0_21) = all_56_0_41, yields:
% 39.78/11.58  			| (341) all_59_0_45 = all_56_0_41
% 39.78/11.58  			|
% 39.78/11.58  			| Instantiating formula (20) with all_0_4_4, all_0_5_5, all_69_0_62, all_131_0_121 and discharging atoms multiplication(all_0_4_4, all_0_5_5) = all_131_0_121, multiplication(all_0_4_4, all_0_5_5) = all_69_0_62, yields:
% 39.78/11.58  			| (342) all_131_0_121 = all_69_0_62
% 39.78/11.58  			|
% 39.78/11.58  			| From (341) and (118) follows:
% 39.78/11.58  			| (115) multiplication(all_56_0_41, a) = all_0_1_1
% 39.78/11.58  			|
% 39.78/11.58  			| From (339) and (187) follows:
% 39.78/11.58  			| (319) multiplication(all_17_1_19, a) = all_71_1_65
% 39.78/11.58  			|
% 39.78/11.58  			| From (340) and (216) follows:
% 39.78/11.58  			| (323) multiplication(all_0_4_4, all_71_1_65) = all_69_1_63
% 39.78/11.58  			|
% 39.78/11.58  			| From (342) and (217) follows:
% 39.78/11.58  			| (322) multiplication(all_0_4_4, all_0_5_5) = all_69_0_62
% 39.78/11.58  			|
% 39.78/11.58  			| Instantiating formula (12) with all_69_1_63, all_71_1_65, a, all_17_1_19, all_0_4_4 and discharging atoms multiplication(all_17_1_19, a) = all_71_1_65, multiplication(all_0_4_4, all_71_1_65) = all_69_1_63, yields:
% 39.78/11.58  			| (347)  ? [v0] : (multiplication(v0, a) = all_69_1_63 & multiplication(all_0_4_4, all_17_1_19) = v0)
% 39.78/11.58  			|
% 39.78/11.58  			| Instantiating formula (37) with all_89_1_77, all_0_4_4, all_19_0_20, all_0_4_4, all_27_0_25 and discharging atoms multiplication(all_0_4_4, all_19_0_20) = all_89_1_77, addition(all_27_0_25, all_0_4_4) = all_0_4_4, yields:
% 39.78/11.58  			| (348)  ? [v0] :  ? [v1] : (multiplication(all_27_0_25, all_19_0_20) = v0 & multiplication(all_0_4_4, all_19_0_20) = v1 & addition(v0, v1) = all_89_1_77)
% 39.78/11.58  			|
% 39.78/11.58  			| Instantiating formula (37) with all_89_1_77, all_0_4_4, all_19_0_20, all_0_4_4, all_25_0_23 and discharging atoms multiplication(all_0_4_4, all_19_0_20) = all_89_1_77, addition(all_25_0_23, all_0_4_4) = all_0_4_4, yields:
% 39.78/11.58  			| (349)  ? [v0] :  ? [v1] : (multiplication(all_25_0_23, all_19_0_20) = v0 & multiplication(all_0_4_4, all_19_0_20) = v1 & addition(v0, v1) = all_89_1_77)
% 39.78/11.58  			|
% 39.78/11.58  			| Instantiating formula (37) with all_89_0_76, all_0_4_4, all_17_1_19, all_0_4_4, all_27_0_25 and discharging atoms multiplication(all_0_4_4, all_17_1_19) = all_89_0_76, addition(all_27_0_25, all_0_4_4) = all_0_4_4, yields:
% 39.78/11.58  			| (350)  ? [v0] :  ? [v1] : (multiplication(all_27_0_25, all_17_1_19) = v0 & multiplication(all_0_4_4, all_17_1_19) = v1 & addition(v0, v1) = all_89_0_76)
% 39.78/11.58  			|
% 39.78/11.58  			| Instantiating formula (37) with all_89_0_76, all_0_4_4, all_17_1_19, all_0_4_4, all_25_0_23 and discharging atoms multiplication(all_0_4_4, all_17_1_19) = all_89_0_76, addition(all_25_0_23, all_0_4_4) = all_0_4_4, yields:
% 39.78/11.58  			| (351)  ? [v0] :  ? [v1] : (multiplication(all_25_0_23, all_17_1_19) = v0 & multiplication(all_0_4_4, all_17_1_19) = v1 & addition(v0, v1) = all_89_0_76)
% 39.78/11.58  			|
% 39.78/11.58  			| Instantiating formula (12) with all_69_0_62, all_0_5_5, a, all_19_0_20, all_0_4_4 and discharging atoms multiplication(all_19_0_20, a) = all_0_5_5, multiplication(all_0_4_4, all_0_5_5) = all_69_0_62, yields:
% 39.78/11.58  			| (352)  ? [v0] : (multiplication(v0, a) = all_69_0_62 & multiplication(all_0_4_4, all_19_0_20) = v0)
% 39.78/11.58  			|
% 39.78/11.58  			| Instantiating formula (37) with all_69_0_62, all_0_4_4, all_0_5_5, all_0_4_4, all_27_0_25 and discharging atoms multiplication(all_0_4_4, all_0_5_5) = all_69_0_62, addition(all_27_0_25, all_0_4_4) = all_0_4_4, yields:
% 39.78/11.58  			| (353)  ? [v0] :  ? [v1] : (multiplication(all_27_0_25, all_0_5_5) = v0 & multiplication(all_0_4_4, all_0_5_5) = v1 & addition(v0, v1) = all_69_0_62)
% 39.78/11.58  			|
% 39.78/11.58  			| Instantiating formula (37) with all_69_0_62, all_0_4_4, all_0_5_5, all_0_4_4, all_25_0_23 and discharging atoms multiplication(all_0_4_4, all_0_5_5) = all_69_0_62, addition(all_25_0_23, all_0_4_4) = all_0_4_4, yields:
% 39.78/11.58  			| (354)  ? [v0] :  ? [v1] : (multiplication(all_25_0_23, all_0_5_5) = v0 & multiplication(all_0_4_4, all_0_5_5) = v1 & addition(v0, v1) = all_69_0_62)
% 39.78/11.58  			|
% 39.78/11.58  			| Instantiating formula (15) with all_69_0_62, all_0_4_4, all_0_5_5, one, all_0_4_4 and discharging atoms multiplication(all_0_4_4, all_0_5_5) = all_69_0_62, multiplication(all_0_4_4, one) = all_0_4_4, yields:
% 39.78/11.58  			| (355)  ? [v0] : (multiplication(all_0_4_4, v0) = all_69_0_62 & multiplication(one, all_0_5_5) = v0)
% 39.78/11.58  			|
% 39.78/11.58  			| Instantiating formula (15) with all_0_4_4, all_0_4_4, one, one, all_0_4_4 and discharging atoms multiplication(all_0_4_4, one) = all_0_4_4, yields:
% 39.78/11.58  			| (356)  ? [v0] : (multiplication(all_0_4_4, v0) = all_0_4_4 & multiplication(one, one) = v0)
% 39.78/11.58  			|
% 39.78/11.58  			| Instantiating formula (15) with all_89_1_77, all_0_4_4, all_19_0_20, all_0_4_4, one and discharging atoms multiplication(all_0_4_4, all_19_0_20) = all_89_1_77, multiplication(one, all_0_4_4) = all_0_4_4, yields:
% 39.78/11.58  			| (357)  ? [v0] : (multiplication(all_0_4_4, all_19_0_20) = v0 & multiplication(one, v0) = all_89_1_77)
% 39.78/11.58  			|
% 39.78/11.58  			| Instantiating formula (15) with all_89_0_76, all_0_4_4, all_17_1_19, all_0_4_4, one and discharging atoms multiplication(all_0_4_4, all_17_1_19) = all_89_0_76, multiplication(one, all_0_4_4) = all_0_4_4, yields:
% 39.78/11.58  			| (358)  ? [v0] : (multiplication(all_0_4_4, all_17_1_19) = v0 & multiplication(one, v0) = all_89_0_76)
% 39.78/11.58  			|
% 39.78/11.58  			| Instantiating formula (15) with all_69_0_62, all_0_4_4, all_0_5_5, all_0_4_4, one and discharging atoms multiplication(all_0_4_4, all_0_5_5) = all_69_0_62, multiplication(one, all_0_4_4) = all_0_4_4, yields:
% 39.78/11.58  			| (359)  ? [v0] : (multiplication(all_0_4_4, all_0_5_5) = v0 & multiplication(one, v0) = all_69_0_62)
% 39.78/11.58  			|
% 39.78/11.58  			| Instantiating formula (12) with all_0_4_4, all_0_4_4, all_0_4_4, one, one and discharging atoms multiplication(one, all_0_4_4) = all_0_4_4, yields:
% 39.78/11.58  			| (360)  ? [v0] : (multiplication(v0, all_0_4_4) = all_0_4_4 & multiplication(one, one) = v0)
% 39.78/11.58  			|
% 39.78/11.58  			| Instantiating formula (37) with all_89_0_76, all_0_4_4, all_17_1_19, all_0_4_4, all_129_0_120 and discharging atoms multiplication(all_0_4_4, all_17_1_19) = all_89_0_76, addition(all_129_0_120, all_0_4_4) = all_0_4_4, yields:
% 39.78/11.58  			| (361)  ? [v0] :  ? [v1] : (multiplication(all_129_0_120, all_17_1_19) = v0 & multiplication(all_0_4_4, all_17_1_19) = v1 & addition(v0, v1) = all_89_0_76)
% 39.78/11.58  			|
% 39.78/11.58  			| Instantiating formula (37) with all_69_0_62, all_0_4_4, all_0_5_5, all_0_4_4, all_129_0_120 and discharging atoms multiplication(all_0_4_4, all_0_5_5) = all_69_0_62, addition(all_129_0_120, all_0_4_4) = all_0_4_4, yields:
% 39.78/11.58  			| (362)  ? [v0] :  ? [v1] : (multiplication(all_129_0_120, all_0_5_5) = v0 & multiplication(all_0_4_4, all_0_5_5) = v1 & addition(v0, v1) = all_69_0_62)
% 39.78/11.58  			|
% 39.78/11.58  			| Instantiating formula (37) with all_89_0_76, all_0_4_4, all_17_1_19, all_0_4_4, all_127_0_119 and discharging atoms multiplication(all_0_4_4, all_17_1_19) = all_89_0_76, addition(all_127_0_119, all_0_4_4) = all_0_4_4, yields:
% 39.78/11.58  			| (363)  ? [v0] :  ? [v1] : (multiplication(all_127_0_119, all_17_1_19) = v0 & multiplication(all_0_4_4, all_17_1_19) = v1 & addition(v0, v1) = all_89_0_76)
% 39.78/11.58  			|
% 39.78/11.58  			| Instantiating formula (37) with all_69_0_62, all_0_4_4, all_0_5_5, all_0_4_4, all_127_0_119 and discharging atoms multiplication(all_0_4_4, all_0_5_5) = all_69_0_62, addition(all_127_0_119, all_0_4_4) = all_0_4_4, yields:
% 39.78/11.58  			| (364)  ? [v0] :  ? [v1] : (multiplication(all_127_0_119, all_0_5_5) = v0 & multiplication(all_0_4_4, all_0_5_5) = v1 & addition(v0, v1) = all_69_0_62)
% 39.78/11.58  			|
% 39.78/11.58  			| Instantiating formula (37) with all_0_1_1, all_56_0_41, a, all_89_1_77, all_89_0_76 and discharging atoms multiplication(all_56_0_41, a) = all_0_1_1, addition(all_89_0_76, all_89_1_77) = all_56_0_41, yields:
% 39.78/11.58  			| (365)  ? [v0] :  ? [v1] : (multiplication(all_89_0_76, a) = v0 & multiplication(all_89_1_77, a) = v1 & addition(v0, v1) = all_0_1_1)
% 39.78/11.58  			|
% 39.78/11.58  			| Instantiating formula (37) with all_0_1_1, all_56_0_41, a, all_89_0_76, all_89_1_77 and discharging atoms multiplication(all_56_0_41, a) = all_0_1_1, addition(all_89_1_77, all_89_0_76) = all_56_0_41, yields:
% 39.78/11.58  			| (366)  ? [v0] :  ? [v1] : (multiplication(all_89_0_76, a) = v1 & multiplication(all_89_1_77, a) = v0 & addition(v0, v1) = all_0_1_1)
% 39.78/11.58  			|
% 39.78/11.58  			| Instantiating formula (2) with all_33_0_27, all_0_1_1, all_0_5_5, all_69_0_62, all_69_1_63 and discharging atoms addition(all_69_0_62, all_69_1_63) = all_0_1_1, addition(all_0_5_5, all_0_1_1) = all_33_0_27, yields:
% 39.78/11.58  			| (367)  ? [v0] : (addition(v0, all_69_1_63) = all_33_0_27 & addition(all_0_5_5, all_69_0_62) = v0)
% 39.78/11.58  			|
% 39.78/11.58  			| Instantiating formula (24) with all_159_0_157, all_69_0_62, all_0_5_5 and discharging atoms addition(all_69_0_62, all_0_5_5) = all_159_0_157, yields:
% 39.78/11.58  			| (368) addition(all_0_5_5, all_69_0_62) = all_159_0_157
% 39.78/11.58  			|
% 39.78/11.58  			| Instantiating formula (37) with all_69_0_62, all_0_4_4, all_0_5_5, all_104_0_93, all_27_1_26 and discharging atoms multiplication(all_0_4_4, all_0_5_5) = all_69_0_62, addition(all_27_1_26, all_104_0_93) = all_0_4_4, yields:
% 39.78/11.58  			| (369)  ? [v0] :  ? [v1] : (multiplication(all_104_0_93, all_0_5_5) = v1 & multiplication(all_27_1_26, all_0_5_5) = v0 & addition(v0, v1) = all_69_0_62)
% 39.78/11.58  			|
% 39.78/11.58  			| Instantiating formula (42) with all_0_4_4, all_27_1_26, all_190_1_204, all_27_1_26, all_104_0_93 and discharging atoms addition(all_190_1_204, all_27_1_26) = all_27_1_26, addition(all_27_1_26, all_104_0_93) = all_0_4_4, yields:
% 39.78/11.58  			| (370)  ? [v0] : (addition(all_190_1_204, v0) = all_0_4_4 & addition(all_27_1_26, all_104_0_93) = v0)
% 39.78/11.58  			|
% 39.78/11.58  			| Instantiating formula (42) with all_0_4_4, all_27_1_26, all_179_1_191, all_27_1_26, all_104_0_93 and discharging atoms addition(all_179_1_191, all_27_1_26) = all_27_1_26, addition(all_27_1_26, all_104_0_93) = all_0_4_4, yields:
% 39.78/11.58  			| (371)  ? [v0] : (addition(all_179_1_191, v0) = all_0_4_4 & addition(all_27_1_26, all_104_0_93) = v0)
% 39.78/11.58  			|
% 39.78/11.58  			| Instantiating formula (2) with all_100_0_90, all_0_4_4, all_27_1_26, all_27_1_26, all_104_0_93 and discharging atoms addition(all_27_1_26, all_104_0_93) = all_0_4_4, addition(all_27_1_26, all_0_4_4) = all_100_0_90, yields:
% 39.78/11.58  			| (372)  ? [v0] : (addition(v0, all_104_0_93) = all_100_0_90 & addition(all_27_1_26, all_27_1_26) = v0)
% 39.78/11.58  			|
% 39.78/11.58  			| Instantiating formula (37) with all_69_0_62, all_0_4_4, all_0_5_5, all_104_0_93, all_25_1_24 and discharging atoms multiplication(all_0_4_4, all_0_5_5) = all_69_0_62, addition(all_25_1_24, all_104_0_93) = all_0_4_4, yields:
% 39.78/11.58  			| (373)  ? [v0] :  ? [v1] : (multiplication(all_104_0_93, all_0_5_5) = v1 & multiplication(all_25_1_24, all_0_5_5) = v0 & addition(v0, v1) = all_69_0_62)
% 39.78/11.58  			|
% 39.78/11.58  			| Instantiating formula (42) with all_0_4_4, all_25_1_24, all_194_1_208, all_25_1_24, all_104_0_93 and discharging atoms addition(all_194_1_208, all_25_1_24) = all_25_1_24, addition(all_25_1_24, all_104_0_93) = all_0_4_4, yields:
% 39.78/11.58  			| (374)  ? [v0] : (addition(all_194_1_208, v0) = all_0_4_4 & addition(all_25_1_24, all_104_0_93) = v0)
% 39.78/11.58  			|
% 39.78/11.58  			| Instantiating formula (42) with all_0_4_4, all_25_1_24, all_181_1_193, all_25_1_24, all_104_0_93 and discharging atoms addition(all_181_1_193, all_25_1_24) = all_25_1_24, addition(all_25_1_24, all_104_0_93) = all_0_4_4, yields:
% 39.78/11.58  			| (375)  ? [v0] : (addition(all_181_1_193, v0) = all_0_4_4 & addition(all_25_1_24, all_104_0_93) = v0)
% 39.78/11.58  			|
% 39.78/11.58  			| Instantiating formula (2) with all_151_0_146, all_0_4_4, all_25_1_24, all_25_1_24, all_104_0_93 and discharging atoms addition(all_25_1_24, all_104_0_93) = all_0_4_4, addition(all_25_1_24, all_0_4_4) = all_151_0_146, yields:
% 39.78/11.58  			| (376)  ? [v0] : (addition(v0, all_104_0_93) = all_151_0_146 & addition(all_25_1_24, all_25_1_24) = v0)
% 39.78/11.58  			|
% 39.78/11.58  			| Instantiating formula (37) with all_89_0_76, all_0_4_4, all_17_1_19, all_27_0_25, all_0_4_4 and discharging atoms multiplication(all_0_4_4, all_17_1_19) = all_89_0_76, addition(all_0_4_4, all_27_0_25) = all_0_4_4, yields:
% 39.78/11.58  			| (377)  ? [v0] :  ? [v1] : (multiplication(all_27_0_25, all_17_1_19) = v1 & multiplication(all_0_4_4, all_17_1_19) = v0 & addition(v0, v1) = all_89_0_76)
% 39.78/11.58  			|
% 39.78/11.58  			| Instantiating formula (37) with all_69_0_62, all_0_4_4, all_0_5_5, all_27_0_25, all_0_4_4 and discharging atoms multiplication(all_0_4_4, all_0_5_5) = all_69_0_62, addition(all_0_4_4, all_27_0_25) = all_0_4_4, yields:
% 39.78/11.58  			| (378)  ? [v0] :  ? [v1] : (multiplication(all_27_0_25, all_0_5_5) = v1 & multiplication(all_0_4_4, all_0_5_5) = v0 & addition(v0, v1) = all_69_0_62)
% 39.78/11.58  			|
% 39.78/11.58  			| Instantiating formula (37) with all_89_0_76, all_0_4_4, all_17_1_19, all_25_0_23, all_0_4_4 and discharging atoms multiplication(all_0_4_4, all_17_1_19) = all_89_0_76, addition(all_0_4_4, all_25_0_23) = all_0_4_4, yields:
% 39.78/11.58  			| (379)  ? [v0] :  ? [v1] : (multiplication(all_25_0_23, all_17_1_19) = v1 & multiplication(all_0_4_4, all_17_1_19) = v0 & addition(v0, v1) = all_89_0_76)
% 39.78/11.58  			|
% 39.78/11.58  			| Instantiating formula (37) with all_69_0_62, all_0_4_4, all_0_5_5, all_25_0_23, all_0_4_4 and discharging atoms multiplication(all_0_4_4, all_0_5_5) = all_69_0_62, addition(all_0_4_4, all_25_0_23) = all_0_4_4, yields:
% 39.78/11.59  			| (380)  ? [v0] :  ? [v1] : (multiplication(all_25_0_23, all_0_5_5) = v1 & multiplication(all_0_4_4, all_0_5_5) = v0 & addition(v0, v1) = all_69_0_62)
% 39.78/11.59  			|
% 39.78/11.59  			| Instantiating formula (37) with all_69_0_62, all_0_4_4, all_0_5_5, all_151_0_146, one and discharging atoms multiplication(all_0_4_4, all_0_5_5) = all_69_0_62, addition(one, all_151_0_146) = all_0_4_4, yields:
% 39.78/11.59  			| (381)  ? [v0] :  ? [v1] : (multiplication(all_151_0_146, all_0_5_5) = v1 & multiplication(one, all_0_5_5) = v0 & addition(v0, v1) = all_69_0_62)
% 39.78/11.59  			|
% 39.78/11.59  			| Instantiating formula (37) with all_0_4_4, all_0_4_4, one, all_151_0_146, one and discharging atoms multiplication(all_0_4_4, one) = all_0_4_4, addition(one, all_151_0_146) = all_0_4_4, yields:
% 39.78/11.59  			| (382)  ? [v0] :  ? [v1] : (multiplication(all_151_0_146, one) = v1 & multiplication(one, one) = v0 & addition(v0, v1) = all_0_4_4)
% 39.78/11.59  			|
% 39.78/11.59  			| Instantiating formula (29) with all_0_4_4, all_0_4_4, all_151_0_146, one, one and discharging atoms multiplication(one, all_0_4_4) = all_0_4_4, addition(one, all_151_0_146) = all_0_4_4, yields:
% 39.78/11.59  			| (383)  ? [v0] :  ? [v1] : (multiplication(one, all_151_0_146) = v1 & multiplication(one, one) = v0 & addition(v0, v1) = all_0_4_4)
% 39.78/11.59  			|
% 39.78/11.59  			| Instantiating formula (37) with all_69_0_62, all_0_4_4, all_0_5_5, all_100_0_90, one and discharging atoms multiplication(all_0_4_4, all_0_5_5) = all_69_0_62, addition(one, all_100_0_90) = all_0_4_4, yields:
% 39.78/11.59  			| (384)  ? [v0] :  ? [v1] : (multiplication(all_100_0_90, all_0_5_5) = v1 & multiplication(one, all_0_5_5) = v0 & addition(v0, v1) = all_69_0_62)
% 39.78/11.59  			|
% 39.78/11.59  			| Instantiating formula (37) with all_0_4_4, all_0_4_4, one, all_100_0_90, one and discharging atoms multiplication(all_0_4_4, one) = all_0_4_4, addition(one, all_100_0_90) = all_0_4_4, yields:
% 39.78/11.59  			| (385)  ? [v0] :  ? [v1] : (multiplication(all_100_0_90, one) = v1 & multiplication(one, one) = v0 & addition(v0, v1) = all_0_4_4)
% 39.78/11.59  			|
% 39.78/11.59  			| Instantiating formula (29) with all_0_4_4, all_0_4_4, all_100_0_90, one, one and discharging atoms multiplication(one, all_0_4_4) = all_0_4_4, addition(one, all_100_0_90) = all_0_4_4, yields:
% 39.78/11.59  			| (386)  ? [v0] :  ? [v1] : (multiplication(one, all_100_0_90) = v1 & multiplication(one, one) = v0 & addition(v0, v1) = all_0_4_4)
% 39.78/11.59  			|
% 39.78/11.59  			| Instantiating formula (2) with all_104_0_93, all_0_4_4, one, one, all_151_0_146 and discharging atoms addition(one, all_151_0_146) = all_0_4_4, addition(one, all_0_4_4) = all_104_0_93, yields:
% 39.78/11.59  			| (387)  ? [v0] : (addition(v0, all_151_0_146) = all_104_0_93 & addition(one, one) = v0)
% 39.78/11.59  			|
% 39.78/11.59  			| Instantiating formula (2) with all_104_0_93, all_0_4_4, one, one, all_100_0_90 and discharging atoms addition(one, all_100_0_90) = all_0_4_4, addition(one, all_0_4_4) = all_104_0_93, yields:
% 39.78/11.59  			| (388)  ? [v0] : (addition(v0, all_100_0_90) = all_104_0_93 & addition(one, one) = v0)
% 39.78/11.59  			|
% 39.78/11.59  			| Instantiating (367) with all_326_0_303 yields:
% 39.78/11.59  			| (389) addition(all_326_0_303, all_69_1_63) = all_33_0_27 & addition(all_0_5_5, all_69_0_62) = all_326_0_303
% 39.78/11.59  			|
% 39.78/11.59  			| Applying alpha-rule on (389) yields:
% 39.78/11.59  			| (390) addition(all_326_0_303, all_69_1_63) = all_33_0_27
% 39.78/11.59  			| (391) addition(all_0_5_5, all_69_0_62) = all_326_0_303
% 39.78/11.59  			|
% 39.78/11.59  			| Instantiating (384) with all_388_0_341, all_388_1_342 yields:
% 39.78/11.59  			| (392) multiplication(all_100_0_90, all_0_5_5) = all_388_0_341 & multiplication(one, all_0_5_5) = all_388_1_342 & addition(all_388_1_342, all_388_0_341) = all_69_0_62
% 39.78/11.59  			|
% 39.78/11.59  			| Applying alpha-rule on (392) yields:
% 39.78/11.59  			| (393) multiplication(all_100_0_90, all_0_5_5) = all_388_0_341
% 39.78/11.59  			| (394) multiplication(one, all_0_5_5) = all_388_1_342
% 39.78/11.59  			| (395) addition(all_388_1_342, all_388_0_341) = all_69_0_62
% 39.78/11.59  			|
% 39.78/11.59  			| Instantiating (386) with all_398_0_350, all_398_1_351 yields:
% 39.78/11.59  			| (396) multiplication(one, all_100_0_90) = all_398_0_350 & multiplication(one, one) = all_398_1_351 & addition(all_398_1_351, all_398_0_350) = all_0_4_4
% 39.78/11.59  			|
% 39.78/11.59  			| Applying alpha-rule on (396) yields:
% 39.78/11.59  			| (397) multiplication(one, all_100_0_90) = all_398_0_350
% 39.78/11.59  			| (398) multiplication(one, one) = all_398_1_351
% 39.78/11.59  			| (399) addition(all_398_1_351, all_398_0_350) = all_0_4_4
% 39.78/11.59  			|
% 39.78/11.59  			| Instantiating (385) with all_433_0_391, all_433_1_392 yields:
% 39.78/11.59  			| (400) multiplication(all_100_0_90, one) = all_433_0_391 & multiplication(one, one) = all_433_1_392 & addition(all_433_1_392, all_433_0_391) = all_0_4_4
% 39.78/11.59  			|
% 39.78/11.59  			| Applying alpha-rule on (400) yields:
% 39.78/11.59  			| (401) multiplication(all_100_0_90, one) = all_433_0_391
% 39.78/11.59  			| (402) multiplication(one, one) = all_433_1_392
% 39.78/11.59  			| (403) addition(all_433_1_392, all_433_0_391) = all_0_4_4
% 39.78/11.59  			|
% 39.78/11.59  			| Instantiating (388) with all_435_0_393 yields:
% 39.78/11.59  			| (404) addition(all_435_0_393, all_100_0_90) = all_104_0_93 & addition(one, one) = all_435_0_393
% 39.78/11.59  			|
% 39.78/11.59  			| Applying alpha-rule on (404) yields:
% 39.78/11.59  			| (405) addition(all_435_0_393, all_100_0_90) = all_104_0_93
% 39.78/11.59  			| (406) addition(one, one) = all_435_0_393
% 39.78/11.59  			|
% 39.78/11.59  			| Instantiating (387) with all_437_0_394 yields:
% 39.78/11.59  			| (407) addition(all_437_0_394, all_151_0_146) = all_104_0_93 & addition(one, one) = all_437_0_394
% 39.78/11.59  			|
% 39.78/11.59  			| Applying alpha-rule on (407) yields:
% 39.78/11.59  			| (408) addition(all_437_0_394, all_151_0_146) = all_104_0_93
% 39.78/11.59  			| (409) addition(one, one) = all_437_0_394
% 39.78/11.59  			|
% 39.78/11.59  			| Instantiating (381) with all_439_0_395, all_439_1_396 yields:
% 39.78/11.59  			| (410) multiplication(all_151_0_146, all_0_5_5) = all_439_0_395 & multiplication(one, all_0_5_5) = all_439_1_396 & addition(all_439_1_396, all_439_0_395) = all_69_0_62
% 39.78/11.59  			|
% 39.78/11.59  			| Applying alpha-rule on (410) yields:
% 39.78/11.59  			| (411) multiplication(all_151_0_146, all_0_5_5) = all_439_0_395
% 39.78/11.59  			| (412) multiplication(one, all_0_5_5) = all_439_1_396
% 39.78/11.59  			| (413) addition(all_439_1_396, all_439_0_395) = all_69_0_62
% 39.78/11.59  			|
% 39.78/11.59  			| Instantiating (383) with all_447_0_403, all_447_1_404 yields:
% 39.78/11.59  			| (414) multiplication(one, all_151_0_146) = all_447_0_403 & multiplication(one, one) = all_447_1_404 & addition(all_447_1_404, all_447_0_403) = all_0_4_4
% 39.78/11.59  			|
% 39.78/11.59  			| Applying alpha-rule on (414) yields:
% 39.78/11.59  			| (415) multiplication(one, all_151_0_146) = all_447_0_403
% 39.78/11.59  			| (416) multiplication(one, one) = all_447_1_404
% 39.78/11.59  			| (417) addition(all_447_1_404, all_447_0_403) = all_0_4_4
% 39.78/11.59  			|
% 39.78/11.59  			| Instantiating (382) with all_449_0_405, all_449_1_406 yields:
% 39.78/11.59  			| (418) multiplication(all_151_0_146, one) = all_449_0_405 & multiplication(one, one) = all_449_1_406 & addition(all_449_1_406, all_449_0_405) = all_0_4_4
% 39.78/11.59  			|
% 39.78/11.59  			| Applying alpha-rule on (418) yields:
% 39.78/11.59  			| (419) multiplication(all_151_0_146, one) = all_449_0_405
% 39.78/11.59  			| (420) multiplication(one, one) = all_449_1_406
% 39.78/11.59  			| (421) addition(all_449_1_406, all_449_0_405) = all_0_4_4
% 39.78/11.59  			|
% 39.78/11.59  			| Instantiating (372) with all_495_0_447 yields:
% 39.78/11.59  			| (422) addition(all_495_0_447, all_104_0_93) = all_100_0_90 & addition(all_27_1_26, all_27_1_26) = all_495_0_447
% 39.78/11.59  			|
% 39.78/11.59  			| Applying alpha-rule on (422) yields:
% 39.78/11.59  			| (423) addition(all_495_0_447, all_104_0_93) = all_100_0_90
% 39.78/11.59  			| (424) addition(all_27_1_26, all_27_1_26) = all_495_0_447
% 39.78/11.59  			|
% 39.78/11.59  			| Instantiating (380) with all_502_0_454, all_502_1_455 yields:
% 39.78/11.59  			| (425) multiplication(all_25_0_23, all_0_5_5) = all_502_0_454 & multiplication(all_0_4_4, all_0_5_5) = all_502_1_455 & addition(all_502_1_455, all_502_0_454) = all_69_0_62
% 39.78/11.59  			|
% 39.78/11.59  			| Applying alpha-rule on (425) yields:
% 39.78/11.59  			| (426) multiplication(all_25_0_23, all_0_5_5) = all_502_0_454
% 39.78/11.59  			| (427) multiplication(all_0_4_4, all_0_5_5) = all_502_1_455
% 39.78/11.59  			| (428) addition(all_502_1_455, all_502_0_454) = all_69_0_62
% 39.78/11.59  			|
% 39.78/11.59  			| Instantiating (379) with all_512_0_464, all_512_1_465 yields:
% 39.78/11.59  			| (429) multiplication(all_25_0_23, all_17_1_19) = all_512_0_464 & multiplication(all_0_4_4, all_17_1_19) = all_512_1_465 & addition(all_512_1_465, all_512_0_464) = all_89_0_76
% 39.78/11.59  			|
% 39.78/11.59  			| Applying alpha-rule on (429) yields:
% 39.78/11.59  			| (430) multiplication(all_25_0_23, all_17_1_19) = all_512_0_464
% 39.78/11.59  			| (431) multiplication(all_0_4_4, all_17_1_19) = all_512_1_465
% 39.78/11.59  			| (432) addition(all_512_1_465, all_512_0_464) = all_89_0_76
% 39.78/11.59  			|
% 39.78/11.59  			| Instantiating (371) with all_518_0_469 yields:
% 39.78/11.59  			| (433) addition(all_179_1_191, all_518_0_469) = all_0_4_4 & addition(all_27_1_26, all_104_0_93) = all_518_0_469
% 39.78/11.59  			|
% 39.78/11.59  			| Applying alpha-rule on (433) yields:
% 39.78/11.59  			| (434) addition(all_179_1_191, all_518_0_469) = all_0_4_4
% 39.78/11.59  			| (435) addition(all_27_1_26, all_104_0_93) = all_518_0_469
% 39.78/11.59  			|
% 39.78/11.59  			| Instantiating (370) with all_520_0_470 yields:
% 39.78/11.59  			| (436) addition(all_190_1_204, all_520_0_470) = all_0_4_4 & addition(all_27_1_26, all_104_0_93) = all_520_0_470
% 39.78/11.59  			|
% 39.78/11.59  			| Applying alpha-rule on (436) yields:
% 39.78/11.59  			| (437) addition(all_190_1_204, all_520_0_470) = all_0_4_4
% 39.78/11.59  			| (438) addition(all_27_1_26, all_104_0_93) = all_520_0_470
% 39.78/11.59  			|
% 39.78/11.59  			| Instantiating (378) with all_596_0_536, all_596_1_537 yields:
% 39.78/11.59  			| (439) multiplication(all_27_0_25, all_0_5_5) = all_596_0_536 & multiplication(all_0_4_4, all_0_5_5) = all_596_1_537 & addition(all_596_1_537, all_596_0_536) = all_69_0_62
% 39.78/11.59  			|
% 39.78/11.59  			| Applying alpha-rule on (439) yields:
% 39.78/11.59  			| (440) multiplication(all_27_0_25, all_0_5_5) = all_596_0_536
% 39.78/11.59  			| (441) multiplication(all_0_4_4, all_0_5_5) = all_596_1_537
% 39.78/11.59  			| (442) addition(all_596_1_537, all_596_0_536) = all_69_0_62
% 39.78/11.59  			|
% 39.78/11.59  			| Instantiating (377) with all_608_0_543, all_608_1_544 yields:
% 39.78/11.59  			| (443) multiplication(all_27_0_25, all_17_1_19) = all_608_0_543 & multiplication(all_0_4_4, all_17_1_19) = all_608_1_544 & addition(all_608_1_544, all_608_0_543) = all_89_0_76
% 39.78/11.59  			|
% 39.78/11.59  			| Applying alpha-rule on (443) yields:
% 39.78/11.59  			| (444) multiplication(all_27_0_25, all_17_1_19) = all_608_0_543
% 39.78/11.59  			| (445) multiplication(all_0_4_4, all_17_1_19) = all_608_1_544
% 39.78/11.59  			| (446) addition(all_608_1_544, all_608_0_543) = all_89_0_76
% 39.78/11.59  			|
% 39.78/11.59  			| Instantiating (365) with all_616_0_549, all_616_1_550 yields:
% 39.78/11.59  			| (447) multiplication(all_89_0_76, a) = all_616_1_550 & multiplication(all_89_1_77, a) = all_616_0_549 & addition(all_616_1_550, all_616_0_549) = all_0_1_1
% 39.78/11.59  			|
% 39.78/11.59  			| Applying alpha-rule on (447) yields:
% 39.78/11.59  			| (448) multiplication(all_89_0_76, a) = all_616_1_550
% 39.78/11.59  			| (449) multiplication(all_89_1_77, a) = all_616_0_549
% 39.78/11.59  			| (450) addition(all_616_1_550, all_616_0_549) = all_0_1_1
% 39.78/11.59  			|
% 39.78/11.59  			| Instantiating (369) with all_805_0_735, all_805_1_736 yields:
% 39.78/11.59  			| (451) multiplication(all_104_0_93, all_0_5_5) = all_805_0_735 & multiplication(all_27_1_26, all_0_5_5) = all_805_1_736 & addition(all_805_1_736, all_805_0_735) = all_69_0_62
% 39.78/11.59  			|
% 39.78/11.59  			| Applying alpha-rule on (451) yields:
% 39.78/11.59  			| (452) multiplication(all_104_0_93, all_0_5_5) = all_805_0_735
% 39.78/11.59  			| (453) multiplication(all_27_1_26, all_0_5_5) = all_805_1_736
% 39.78/11.59  			| (454) addition(all_805_1_736, all_805_0_735) = all_69_0_62
% 39.78/11.59  			|
% 39.78/11.59  			| Instantiating (361) with all_836_0_762, all_836_1_763 yields:
% 39.78/11.59  			| (455) multiplication(all_129_0_120, all_17_1_19) = all_836_1_763 & multiplication(all_0_4_4, all_17_1_19) = all_836_0_762 & addition(all_836_1_763, all_836_0_762) = all_89_0_76
% 39.78/11.59  			|
% 39.78/11.59  			| Applying alpha-rule on (455) yields:
% 39.78/11.59  			| (456) multiplication(all_129_0_120, all_17_1_19) = all_836_1_763
% 39.78/11.59  			| (457) multiplication(all_0_4_4, all_17_1_19) = all_836_0_762
% 39.78/11.59  			| (458) addition(all_836_1_763, all_836_0_762) = all_89_0_76
% 39.78/11.59  			|
% 39.78/11.59  			| Instantiating (362) with all_872_0_793, all_872_1_794 yields:
% 39.78/11.59  			| (459) multiplication(all_129_0_120, all_0_5_5) = all_872_1_794 & multiplication(all_0_4_4, all_0_5_5) = all_872_0_793 & addition(all_872_1_794, all_872_0_793) = all_69_0_62
% 39.78/11.59  			|
% 39.78/11.59  			| Applying alpha-rule on (459) yields:
% 39.78/11.59  			| (460) multiplication(all_129_0_120, all_0_5_5) = all_872_1_794
% 39.78/11.59  			| (461) multiplication(all_0_4_4, all_0_5_5) = all_872_0_793
% 39.78/11.59  			| (462) addition(all_872_1_794, all_872_0_793) = all_69_0_62
% 39.78/11.59  			|
% 39.78/11.59  			| Instantiating (347) with all_945_0_860 yields:
% 39.78/11.59  			| (463) multiplication(all_945_0_860, a) = all_69_1_63 & multiplication(all_0_4_4, all_17_1_19) = all_945_0_860
% 39.78/11.59  			|
% 39.78/11.59  			| Applying alpha-rule on (463) yields:
% 39.78/11.59  			| (464) multiplication(all_945_0_860, a) = all_69_1_63
% 39.78/11.60  			| (465) multiplication(all_0_4_4, all_17_1_19) = all_945_0_860
% 39.78/11.60  			|
% 39.78/11.60  			| Instantiating (354) with all_970_0_883, all_970_1_884 yields:
% 39.78/11.60  			| (466) multiplication(all_25_0_23, all_0_5_5) = all_970_1_884 & multiplication(all_0_4_4, all_0_5_5) = all_970_0_883 & addition(all_970_1_884, all_970_0_883) = all_69_0_62
% 39.78/11.60  			|
% 39.78/11.60  			| Applying alpha-rule on (466) yields:
% 39.78/11.60  			| (467) multiplication(all_25_0_23, all_0_5_5) = all_970_1_884
% 39.78/11.60  			| (468) multiplication(all_0_4_4, all_0_5_5) = all_970_0_883
% 39.78/11.60  			| (469) addition(all_970_1_884, all_970_0_883) = all_69_0_62
% 39.78/11.60  			|
% 39.78/11.60  			| Instantiating (360) with all_1004_0_914 yields:
% 39.78/11.60  			| (470) multiplication(all_1004_0_914, all_0_4_4) = all_0_4_4 & multiplication(one, one) = all_1004_0_914
% 39.78/11.60  			|
% 39.78/11.60  			| Applying alpha-rule on (470) yields:
% 39.78/11.60  			| (471) multiplication(all_1004_0_914, all_0_4_4) = all_0_4_4
% 39.78/11.60  			| (472) multiplication(one, one) = all_1004_0_914
% 39.78/11.60  			|
% 39.78/11.60  			| Instantiating (359) with all_1012_0_918 yields:
% 39.78/11.60  			| (473) multiplication(all_0_4_4, all_0_5_5) = all_1012_0_918 & multiplication(one, all_1012_0_918) = all_69_0_62
% 39.78/11.60  			|
% 39.78/11.60  			| Applying alpha-rule on (473) yields:
% 39.78/11.60  			| (474) multiplication(all_0_4_4, all_0_5_5) = all_1012_0_918
% 39.78/11.60  			| (475) multiplication(one, all_1012_0_918) = all_69_0_62
% 39.78/11.60  			|
% 39.78/11.60  			| Instantiating (357) with all_1014_0_919 yields:
% 39.78/11.60  			| (476) multiplication(all_0_4_4, all_19_0_20) = all_1014_0_919 & multiplication(one, all_1014_0_919) = all_89_1_77
% 39.78/11.60  			|
% 39.78/11.60  			| Applying alpha-rule on (476) yields:
% 39.78/11.60  			| (477) multiplication(all_0_4_4, all_19_0_20) = all_1014_0_919
% 39.78/11.60  			| (478) multiplication(one, all_1014_0_919) = all_89_1_77
% 39.78/11.60  			|
% 39.78/11.60  			| Instantiating (358) with all_1016_0_920 yields:
% 39.78/11.60  			| (479) multiplication(all_0_4_4, all_17_1_19) = all_1016_0_920 & multiplication(one, all_1016_0_920) = all_89_0_76
% 39.78/11.60  			|
% 39.78/11.60  			| Applying alpha-rule on (479) yields:
% 39.78/11.60  			| (480) multiplication(all_0_4_4, all_17_1_19) = all_1016_0_920
% 39.78/11.60  			| (481) multiplication(one, all_1016_0_920) = all_89_0_76
% 39.78/11.60  			|
% 39.78/11.60  			| Instantiating (376) with all_1034_0_936 yields:
% 39.78/11.60  			| (482) addition(all_1034_0_936, all_104_0_93) = all_151_0_146 & addition(all_25_1_24, all_25_1_24) = all_1034_0_936
% 39.78/11.60  			|
% 39.78/11.60  			| Applying alpha-rule on (482) yields:
% 39.78/11.60  			| (483) addition(all_1034_0_936, all_104_0_93) = all_151_0_146
% 39.78/11.60  			| (484) addition(all_25_1_24, all_25_1_24) = all_1034_0_936
% 39.78/11.60  			|
% 39.78/11.60  			| Instantiating (374) with all_1061_0_960 yields:
% 39.78/11.60  			| (485) addition(all_194_1_208, all_1061_0_960) = all_0_4_4 & addition(all_25_1_24, all_104_0_93) = all_1061_0_960
% 39.78/11.60  			|
% 39.78/11.60  			| Applying alpha-rule on (485) yields:
% 39.78/11.60  			| (486) addition(all_194_1_208, all_1061_0_960) = all_0_4_4
% 39.78/11.60  			| (487) addition(all_25_1_24, all_104_0_93) = all_1061_0_960
% 39.78/11.60  			|
% 39.78/11.60  			| Instantiating (375) with all_1071_0_965 yields:
% 39.78/11.60  			| (488) addition(all_181_1_193, all_1071_0_965) = all_0_4_4 & addition(all_25_1_24, all_104_0_93) = all_1071_0_965
% 39.78/11.60  			|
% 39.78/11.60  			| Applying alpha-rule on (488) yields:
% 39.78/11.60  			| (489) addition(all_181_1_193, all_1071_0_965) = all_0_4_4
% 39.78/11.60  			| (490) addition(all_25_1_24, all_104_0_93) = all_1071_0_965
% 39.78/11.60  			|
% 39.78/11.60  			| Instantiating (356) with all_1111_0_996 yields:
% 39.78/11.60  			| (491) multiplication(all_0_4_4, all_1111_0_996) = all_0_4_4 & multiplication(one, one) = all_1111_0_996
% 39.78/11.60  			|
% 39.78/11.60  			| Applying alpha-rule on (491) yields:
% 39.78/11.60  			| (492) multiplication(all_0_4_4, all_1111_0_996) = all_0_4_4
% 39.78/11.60  			| (493) multiplication(one, one) = all_1111_0_996
% 39.78/11.60  			|
% 39.78/11.60  			| Instantiating (355) with all_1117_0_1000 yields:
% 39.78/11.60  			| (494) multiplication(all_0_4_4, all_1117_0_1000) = all_69_0_62 & multiplication(one, all_0_5_5) = all_1117_0_1000
% 39.78/11.60  			|
% 39.78/11.60  			| Applying alpha-rule on (494) yields:
% 39.78/11.60  			| (495) multiplication(all_0_4_4, all_1117_0_1000) = all_69_0_62
% 39.78/11.60  			| (496) multiplication(one, all_0_5_5) = all_1117_0_1000
% 39.78/11.60  			|
% 39.78/11.60  			| Instantiating (373) with all_1173_0_1044, all_1173_1_1045 yields:
% 39.78/11.60  			| (497) multiplication(all_104_0_93, all_0_5_5) = all_1173_0_1044 & multiplication(all_25_1_24, all_0_5_5) = all_1173_1_1045 & addition(all_1173_1_1045, all_1173_0_1044) = all_69_0_62
% 39.78/11.60  			|
% 39.78/11.60  			| Applying alpha-rule on (497) yields:
% 39.78/11.60  			| (498) multiplication(all_104_0_93, all_0_5_5) = all_1173_0_1044
% 39.78/11.60  			| (499) multiplication(all_25_1_24, all_0_5_5) = all_1173_1_1045
% 39.78/11.60  			| (500) addition(all_1173_1_1045, all_1173_0_1044) = all_69_0_62
% 39.78/11.60  			|
% 39.78/11.60  			| Instantiating (353) with all_1201_0_1079, all_1201_1_1080 yields:
% 39.78/11.60  			| (501) multiplication(all_27_0_25, all_0_5_5) = all_1201_1_1080 & multiplication(all_0_4_4, all_0_5_5) = all_1201_0_1079 & addition(all_1201_1_1080, all_1201_0_1079) = all_69_0_62
% 39.78/11.60  			|
% 39.78/11.60  			| Applying alpha-rule on (501) yields:
% 39.78/11.60  			| (502) multiplication(all_27_0_25, all_0_5_5) = all_1201_1_1080
% 39.78/11.60  			| (503) multiplication(all_0_4_4, all_0_5_5) = all_1201_0_1079
% 39.78/11.60  			| (504) addition(all_1201_1_1080, all_1201_0_1079) = all_69_0_62
% 39.78/11.60  			|
% 39.78/11.60  			| Instantiating (352) with all_1203_0_1081 yields:
% 39.78/11.60  			| (505) multiplication(all_1203_0_1081, a) = all_69_0_62 & multiplication(all_0_4_4, all_19_0_20) = all_1203_0_1081
% 39.78/11.60  			|
% 39.78/11.60  			| Applying alpha-rule on (505) yields:
% 39.78/11.60  			| (506) multiplication(all_1203_0_1081, a) = all_69_0_62
% 39.78/11.60  			| (507) multiplication(all_0_4_4, all_19_0_20) = all_1203_0_1081
% 39.78/11.60  			|
% 39.78/11.60  			| Instantiating (366) with all_1208_0_1086, all_1208_1_1087 yields:
% 39.78/11.60  			| (508) multiplication(all_89_0_76, a) = all_1208_0_1086 & multiplication(all_89_1_77, a) = all_1208_1_1087 & addition(all_1208_1_1087, all_1208_0_1086) = all_0_1_1
% 39.78/11.60  			|
% 39.78/11.60  			| Applying alpha-rule on (508) yields:
% 39.78/11.60  			| (509) multiplication(all_89_0_76, a) = all_1208_0_1086
% 39.78/11.60  			| (510) multiplication(all_89_1_77, a) = all_1208_1_1087
% 39.78/11.60  			| (511) addition(all_1208_1_1087, all_1208_0_1086) = all_0_1_1
% 39.78/11.60  			|
% 39.78/11.60  			| Instantiating (348) with all_1234_0_1109, all_1234_1_1110 yields:
% 39.78/11.60  			| (512) multiplication(all_27_0_25, all_19_0_20) = all_1234_1_1110 & multiplication(all_0_4_4, all_19_0_20) = all_1234_0_1109 & addition(all_1234_1_1110, all_1234_0_1109) = all_89_1_77
% 39.78/11.60  			|
% 39.78/11.60  			| Applying alpha-rule on (512) yields:
% 39.78/11.60  			| (513) multiplication(all_27_0_25, all_19_0_20) = all_1234_1_1110
% 39.78/11.60  			| (514) multiplication(all_0_4_4, all_19_0_20) = all_1234_0_1109
% 39.78/11.60  			| (515) addition(all_1234_1_1110, all_1234_0_1109) = all_89_1_77
% 39.78/11.60  			|
% 39.78/11.60  			| Instantiating (349) with all_1261_0_1133, all_1261_1_1134 yields:
% 39.78/11.60  			| (516) multiplication(all_25_0_23, all_19_0_20) = all_1261_1_1134 & multiplication(all_0_4_4, all_19_0_20) = all_1261_0_1133 & addition(all_1261_1_1134, all_1261_0_1133) = all_89_1_77
% 39.78/11.60  			|
% 39.78/11.60  			| Applying alpha-rule on (516) yields:
% 39.78/11.60  			| (517) multiplication(all_25_0_23, all_19_0_20) = all_1261_1_1134
% 39.78/11.60  			| (518) multiplication(all_0_4_4, all_19_0_20) = all_1261_0_1133
% 39.78/11.60  			| (519) addition(all_1261_1_1134, all_1261_0_1133) = all_89_1_77
% 39.78/11.60  			|
% 39.78/11.60  			| Instantiating (351) with all_1263_0_1135, all_1263_1_1136 yields:
% 39.78/11.60  			| (520) multiplication(all_25_0_23, all_17_1_19) = all_1263_1_1136 & multiplication(all_0_4_4, all_17_1_19) = all_1263_0_1135 & addition(all_1263_1_1136, all_1263_0_1135) = all_89_0_76
% 39.78/11.60  			|
% 39.78/11.60  			| Applying alpha-rule on (520) yields:
% 39.78/11.60  			| (521) multiplication(all_25_0_23, all_17_1_19) = all_1263_1_1136
% 39.78/11.60  			| (522) multiplication(all_0_4_4, all_17_1_19) = all_1263_0_1135
% 39.78/11.60  			| (523) addition(all_1263_1_1136, all_1263_0_1135) = all_89_0_76
% 39.78/11.60  			|
% 39.78/11.60  			| Instantiating (350) with all_1277_0_1151, all_1277_1_1152 yields:
% 39.78/11.60  			| (524) multiplication(all_27_0_25, all_17_1_19) = all_1277_1_1152 & multiplication(all_0_4_4, all_17_1_19) = all_1277_0_1151 & addition(all_1277_1_1152, all_1277_0_1151) = all_89_0_76
% 39.78/11.60  			|
% 39.78/11.60  			| Applying alpha-rule on (524) yields:
% 39.78/11.60  			| (525) multiplication(all_27_0_25, all_17_1_19) = all_1277_1_1152
% 39.78/11.60  			| (526) multiplication(all_0_4_4, all_17_1_19) = all_1277_0_1151
% 39.78/11.60  			| (527) addition(all_1277_1_1152, all_1277_0_1151) = all_89_0_76
% 39.78/11.60  			|
% 39.78/11.60  			| Instantiating (364) with all_1355_0_1236, all_1355_1_1237 yields:
% 39.78/11.60  			| (528) multiplication(all_127_0_119, all_0_5_5) = all_1355_1_1237 & multiplication(all_0_4_4, all_0_5_5) = all_1355_0_1236 & addition(all_1355_1_1237, all_1355_0_1236) = all_69_0_62
% 39.78/11.60  			|
% 39.78/11.60  			| Applying alpha-rule on (528) yields:
% 39.78/11.60  			| (529) multiplication(all_127_0_119, all_0_5_5) = all_1355_1_1237
% 39.78/11.60  			| (530) multiplication(all_0_4_4, all_0_5_5) = all_1355_0_1236
% 39.78/11.60  			| (531) addition(all_1355_1_1237, all_1355_0_1236) = all_69_0_62
% 39.78/11.60  			|
% 39.78/11.60  			| Instantiating (363) with all_1357_0_1238, all_1357_1_1239 yields:
% 39.78/11.60  			| (532) multiplication(all_127_0_119, all_17_1_19) = all_1357_1_1239 & multiplication(all_0_4_4, all_17_1_19) = all_1357_0_1238 & addition(all_1357_1_1239, all_1357_0_1238) = all_89_0_76
% 39.78/11.60  			|
% 39.78/11.60  			| Applying alpha-rule on (532) yields:
% 39.78/11.60  			| (533) multiplication(all_127_0_119, all_17_1_19) = all_1357_1_1239
% 39.78/11.60  			| (534) multiplication(all_0_4_4, all_17_1_19) = all_1357_0_1238
% 39.78/11.60  			| (535) addition(all_1357_1_1239, all_1357_0_1238) = all_89_0_76
% 39.78/11.60  			|
% 39.78/11.60  			| Instantiating formula (20) with all_104_0_93, all_0_5_5, all_805_0_735, all_1173_0_1044 and discharging atoms multiplication(all_104_0_93, all_0_5_5) = all_1173_0_1044, multiplication(all_104_0_93, all_0_5_5) = all_805_0_735, yields:
% 39.78/11.60  			| (536) all_1173_0_1044 = all_805_0_735
% 39.78/11.60  			|
% 39.78/11.60  			| Instantiating formula (20) with all_89_0_76, a, all_616_1_550, all_1208_0_1086 and discharging atoms multiplication(all_89_0_76, a) = all_1208_0_1086, multiplication(all_89_0_76, a) = all_616_1_550, yields:
% 39.78/11.60  			| (537) all_1208_0_1086 = all_616_1_550
% 39.78/11.60  			|
% 39.78/11.60  			| Instantiating formula (20) with all_89_1_77, a, all_616_0_549, all_1208_1_1087 and discharging atoms multiplication(all_89_1_77, a) = all_1208_1_1087, multiplication(all_89_1_77, a) = all_616_0_549, yields:
% 39.78/11.60  			| (538) all_1208_1_1087 = all_616_0_549
% 39.78/11.60  			|
% 39.78/11.60  			| Instantiating formula (20) with all_0_4_4, all_19_0_20, all_1234_0_1109, all_1261_0_1133 and discharging atoms multiplication(all_0_4_4, all_19_0_20) = all_1261_0_1133, multiplication(all_0_4_4, all_19_0_20) = all_1234_0_1109, yields:
% 39.78/11.60  			| (539) all_1261_0_1133 = all_1234_0_1109
% 39.78/11.60  			|
% 39.78/11.60  			| Instantiating formula (20) with all_0_4_4, all_19_0_20, all_1203_0_1081, all_89_1_77 and discharging atoms multiplication(all_0_4_4, all_19_0_20) = all_1203_0_1081, multiplication(all_0_4_4, all_19_0_20) = all_89_1_77, yields:
% 39.78/11.60  			| (540) all_1203_0_1081 = all_89_1_77
% 39.78/11.60  			|
% 39.78/11.60  			| Instantiating formula (20) with all_0_4_4, all_19_0_20, all_1203_0_1081, all_1234_0_1109 and discharging atoms multiplication(all_0_4_4, all_19_0_20) = all_1234_0_1109, multiplication(all_0_4_4, all_19_0_20) = all_1203_0_1081, yields:
% 39.78/11.60  			| (541) all_1234_0_1109 = all_1203_0_1081
% 39.78/11.60  			|
% 39.78/11.60  			| Instantiating formula (20) with all_0_4_4, all_19_0_20, all_1014_0_919, all_1261_0_1133 and discharging atoms multiplication(all_0_4_4, all_19_0_20) = all_1261_0_1133, multiplication(all_0_4_4, all_19_0_20) = all_1014_0_919, yields:
% 39.78/11.60  			| (542) all_1261_0_1133 = all_1014_0_919
% 39.78/11.60  			|
% 39.78/11.60  			| Instantiating formula (20) with all_0_4_4, all_17_1_19, all_1277_0_1151, all_1357_0_1238 and discharging atoms multiplication(all_0_4_4, all_17_1_19) = all_1357_0_1238, multiplication(all_0_4_4, all_17_1_19) = all_1277_0_1151, yields:
% 39.78/11.60  			| (543) all_1357_0_1238 = all_1277_0_1151
% 39.78/11.60  			|
% 39.78/11.60  			| Instantiating formula (20) with all_0_4_4, all_17_1_19, all_1263_0_1135, all_1277_0_1151 and discharging atoms multiplication(all_0_4_4, all_17_1_19) = all_1277_0_1151, multiplication(all_0_4_4, all_17_1_19) = all_1263_0_1135, yields:
% 39.78/11.60  			| (544) all_1277_0_1151 = all_1263_0_1135
% 39.78/11.60  			|
% 39.78/11.60  			| Instantiating formula (20) with all_0_4_4, all_17_1_19, all_1016_0_920, all_1263_0_1135 and discharging atoms multiplication(all_0_4_4, all_17_1_19) = all_1263_0_1135, multiplication(all_0_4_4, all_17_1_19) = all_1016_0_920, yields:
% 39.78/11.60  			| (545) all_1263_0_1135 = all_1016_0_920
% 39.78/11.60  			|
% 39.78/11.60  			| Instantiating formula (20) with all_0_4_4, all_17_1_19, all_945_0_860, all_1016_0_920 and discharging atoms multiplication(all_0_4_4, all_17_1_19) = all_1016_0_920, multiplication(all_0_4_4, all_17_1_19) = all_945_0_860, yields:
% 39.78/11.60  			| (546) all_1016_0_920 = all_945_0_860
% 39.78/11.60  			|
% 39.78/11.60  			| Instantiating formula (20) with all_0_4_4, all_17_1_19, all_836_0_762, all_945_0_860 and discharging atoms multiplication(all_0_4_4, all_17_1_19) = all_945_0_860, multiplication(all_0_4_4, all_17_1_19) = all_836_0_762, yields:
% 39.78/11.60  			| (547) all_945_0_860 = all_836_0_762
% 39.78/11.60  			|
% 39.78/11.60  			| Instantiating formula (20) with all_0_4_4, all_17_1_19, all_608_1_544, all_89_0_76 and discharging atoms multiplication(all_0_4_4, all_17_1_19) = all_608_1_544, multiplication(all_0_4_4, all_17_1_19) = all_89_0_76, yields:
% 39.78/11.61  			| (548) all_608_1_544 = all_89_0_76
% 39.78/11.61  			|
% 39.78/11.61  			| Instantiating formula (20) with all_0_4_4, all_17_1_19, all_608_1_544, all_836_0_762 and discharging atoms multiplication(all_0_4_4, all_17_1_19) = all_836_0_762, multiplication(all_0_4_4, all_17_1_19) = all_608_1_544, yields:
% 39.78/11.61  			| (549) all_836_0_762 = all_608_1_544
% 39.78/11.61  			|
% 39.78/11.61  			| Instantiating formula (20) with all_0_4_4, all_17_1_19, all_512_1_465, all_1357_0_1238 and discharging atoms multiplication(all_0_4_4, all_17_1_19) = all_1357_0_1238, multiplication(all_0_4_4, all_17_1_19) = all_512_1_465, yields:
% 39.78/11.61  			| (550) all_1357_0_1238 = all_512_1_465
% 39.78/11.61  			|
% 39.78/11.61  			| Instantiating formula (20) with all_0_4_4, all_0_5_5, all_1201_0_1079, all_1355_0_1236 and discharging atoms multiplication(all_0_4_4, all_0_5_5) = all_1355_0_1236, multiplication(all_0_4_4, all_0_5_5) = all_1201_0_1079, yields:
% 39.78/11.61  			| (551) all_1355_0_1236 = all_1201_0_1079
% 39.78/11.61  			|
% 39.78/11.61  			| Instantiating formula (20) with all_0_4_4, all_0_5_5, all_1012_0_918, all_1201_0_1079 and discharging atoms multiplication(all_0_4_4, all_0_5_5) = all_1201_0_1079, multiplication(all_0_4_4, all_0_5_5) = all_1012_0_918, yields:
% 39.78/11.61  			| (552) all_1201_0_1079 = all_1012_0_918
% 39.78/11.61  			|
% 39.78/11.61  			| Instantiating formula (20) with all_0_4_4, all_0_5_5, all_970_0_883, all_1355_0_1236 and discharging atoms multiplication(all_0_4_4, all_0_5_5) = all_1355_0_1236, multiplication(all_0_4_4, all_0_5_5) = all_970_0_883, yields:
% 39.78/11.61  			| (553) all_1355_0_1236 = all_970_0_883
% 39.78/11.61  			|
% 39.78/11.61  			| Instantiating formula (20) with all_0_4_4, all_0_5_5, all_596_1_537, all_1012_0_918 and discharging atoms multiplication(all_0_4_4, all_0_5_5) = all_1012_0_918, multiplication(all_0_4_4, all_0_5_5) = all_596_1_537, yields:
% 39.78/11.61  			| (554) all_1012_0_918 = all_596_1_537
% 39.78/11.61  			|
% 39.78/11.61  			| Instantiating formula (20) with all_0_4_4, all_0_5_5, all_596_1_537, all_872_0_793 and discharging atoms multiplication(all_0_4_4, all_0_5_5) = all_872_0_793, multiplication(all_0_4_4, all_0_5_5) = all_596_1_537, yields:
% 39.78/11.61  			| (555) all_872_0_793 = all_596_1_537
% 39.78/11.61  			|
% 39.78/11.61  			| Instantiating formula (20) with all_0_4_4, all_0_5_5, all_502_1_455, all_872_0_793 and discharging atoms multiplication(all_0_4_4, all_0_5_5) = all_872_0_793, multiplication(all_0_4_4, all_0_5_5) = all_502_1_455, yields:
% 39.78/11.61  			| (556) all_872_0_793 = all_502_1_455
% 39.78/11.61  			|
% 39.78/11.61  			| Instantiating formula (44) with all_69_0_62, all_1012_0_918 and discharging atoms multiplication(one, all_1012_0_918) = all_69_0_62, yields:
% 39.78/11.61  			| (557) all_1012_0_918 = all_69_0_62
% 39.78/11.61  			|
% 39.78/11.61  			| Instantiating formula (44) with all_398_0_350, all_100_0_90 and discharging atoms multiplication(one, all_100_0_90) = all_398_0_350, yields:
% 39.78/11.61  			| (558) all_398_0_350 = all_100_0_90
% 39.78/11.61  			|
% 39.78/11.61  			| Instantiating formula (20) with one, all_0_5_5, all_439_1_396, all_1117_0_1000 and discharging atoms multiplication(one, all_0_5_5) = all_1117_0_1000, multiplication(one, all_0_5_5) = all_439_1_396, yields:
% 39.78/11.61  			| (559) all_1117_0_1000 = all_439_1_396
% 39.78/11.61  			|
% 39.78/11.61  			| Instantiating formula (44) with all_439_1_396, all_0_5_5 and discharging atoms multiplication(one, all_0_5_5) = all_439_1_396, yields:
% 39.78/11.61  			| (560) all_439_1_396 = all_0_5_5
% 39.78/11.61  			|
% 39.78/11.61  			| Instantiating formula (20) with one, all_0_5_5, all_388_1_342, all_1117_0_1000 and discharging atoms multiplication(one, all_0_5_5) = all_1117_0_1000, multiplication(one, all_0_5_5) = all_388_1_342, yields:
% 39.78/11.61  			| (561) all_1117_0_1000 = all_388_1_342
% 39.78/11.61  			|
% 39.78/11.61  			| Instantiating formula (41) with all_1111_0_996, one and discharging atoms multiplication(one, one) = all_1111_0_996, yields:
% 39.78/11.61  			| (562) all_1111_0_996 = one
% 39.78/11.61  			|
% 39.78/11.61  			| Instantiating formula (20) with one, one, all_1004_0_914, all_1111_0_996 and discharging atoms multiplication(one, one) = all_1111_0_996, multiplication(one, one) = all_1004_0_914, yields:
% 39.78/11.61  			| (563) all_1111_0_996 = all_1004_0_914
% 39.78/11.61  			|
% 39.78/11.61  			| Instantiating formula (20) with one, one, all_449_1_406, all_1111_0_996 and discharging atoms multiplication(one, one) = all_1111_0_996, multiplication(one, one) = all_449_1_406, yields:
% 39.78/11.61  			| (564) all_1111_0_996 = all_449_1_406
% 39.78/11.61  			|
% 39.78/11.61  			| Instantiating formula (20) with one, one, all_447_1_404, all_1111_0_996 and discharging atoms multiplication(one, one) = all_1111_0_996, multiplication(one, one) = all_447_1_404, yields:
% 39.78/11.61  			| (565) all_1111_0_996 = all_447_1_404
% 39.78/11.61  			|
% 39.78/11.61  			| Instantiating formula (20) with one, one, all_433_1_392, all_1004_0_914 and discharging atoms multiplication(one, one) = all_1004_0_914, multiplication(one, one) = all_433_1_392, yields:
% 39.78/11.61  			| (566) all_1004_0_914 = all_433_1_392
% 39.78/11.61  			|
% 39.78/11.61  			| Instantiating formula (20) with one, one, all_398_1_351, all_449_1_406 and discharging atoms multiplication(one, one) = all_449_1_406, multiplication(one, one) = all_398_1_351, yields:
% 39.78/11.61  			| (567) all_449_1_406 = all_398_1_351
% 39.78/11.61  			|
% 39.78/11.61  			| Instantiating formula (21) with all_27_1_26, all_104_0_93, all_520_0_470, all_0_4_4 and discharging atoms addition(all_27_1_26, all_104_0_93) = all_520_0_470, addition(all_27_1_26, all_104_0_93) = all_0_4_4, yields:
% 39.78/11.61  			| (568) all_520_0_470 = all_0_4_4
% 39.78/11.61  			|
% 39.78/11.61  			| Instantiating formula (21) with all_27_1_26, all_104_0_93, all_518_0_469, all_520_0_470 and discharging atoms addition(all_27_1_26, all_104_0_93) = all_520_0_470, addition(all_27_1_26, all_104_0_93) = all_518_0_469, yields:
% 39.78/11.61  			| (569) all_520_0_470 = all_518_0_469
% 39.78/11.61  			|
% 39.78/11.61  			| Instantiating formula (30) with all_495_0_447, all_27_1_26 and discharging atoms addition(all_27_1_26, all_27_1_26) = all_495_0_447, yields:
% 39.78/11.61  			| (570) all_495_0_447 = all_27_1_26
% 39.78/11.61  			|
% 39.78/11.61  			| Instantiating formula (21) with all_25_1_24, all_104_0_93, all_1071_0_965, all_0_4_4 and discharging atoms addition(all_25_1_24, all_104_0_93) = all_1071_0_965, addition(all_25_1_24, all_104_0_93) = all_0_4_4, yields:
% 39.78/11.61  			| (571) all_1071_0_965 = all_0_4_4
% 39.78/11.61  			|
% 39.78/11.61  			| Instantiating formula (21) with all_25_1_24, all_104_0_93, all_1061_0_960, all_1071_0_965 and discharging atoms addition(all_25_1_24, all_104_0_93) = all_1071_0_965, addition(all_25_1_24, all_104_0_93) = all_1061_0_960, yields:
% 39.78/11.61  			| (572) all_1071_0_965 = all_1061_0_960
% 39.78/11.61  			|
% 39.78/11.61  			| Instantiating formula (30) with all_1034_0_936, all_25_1_24 and discharging atoms addition(all_25_1_24, all_25_1_24) = all_1034_0_936, yields:
% 39.78/11.61  			| (573) all_1034_0_936 = all_25_1_24
% 39.78/11.61  			|
% 39.78/11.61  			| Instantiating formula (21) with all_0_5_5, all_69_0_62, all_159_0_157, all_326_0_303 and discharging atoms addition(all_0_5_5, all_69_0_62) = all_326_0_303, addition(all_0_5_5, all_69_0_62) = all_159_0_157, yields:
% 39.78/11.61  			| (574) all_326_0_303 = all_159_0_157
% 39.78/11.61  			|
% 39.78/11.61  			| Instantiating formula (30) with all_437_0_394, one and discharging atoms addition(one, one) = all_437_0_394, yields:
% 39.78/11.61  			| (575) all_437_0_394 = one
% 39.78/11.61  			|
% 39.78/11.61  			| Instantiating formula (21) with one, one, all_435_0_393, all_437_0_394 and discharging atoms addition(one, one) = all_437_0_394, addition(one, one) = all_435_0_393, yields:
% 39.78/11.61  			| (576) all_437_0_394 = all_435_0_393
% 39.78/11.61  			|
% 39.78/11.61  			| Combining equations (543,550) yields a new equation:
% 39.78/11.61  			| (577) all_1277_0_1151 = all_512_1_465
% 39.78/11.61  			|
% 39.78/11.61  			| Simplifying 577 yields:
% 39.78/11.61  			| (578) all_1277_0_1151 = all_512_1_465
% 39.78/11.61  			|
% 39.78/11.61  			| Combining equations (551,553) yields a new equation:
% 39.78/11.61  			| (579) all_1201_0_1079 = all_970_0_883
% 39.78/11.61  			|
% 39.78/11.61  			| Simplifying 579 yields:
% 39.78/11.61  			| (580) all_1201_0_1079 = all_970_0_883
% 39.78/11.61  			|
% 39.78/11.61  			| Combining equations (544,578) yields a new equation:
% 39.78/11.61  			| (581) all_1263_0_1135 = all_512_1_465
% 39.78/11.61  			|
% 39.78/11.61  			| Simplifying 581 yields:
% 39.78/11.61  			| (582) all_1263_0_1135 = all_512_1_465
% 39.78/11.61  			|
% 39.78/11.61  			| Combining equations (545,582) yields a new equation:
% 39.78/11.61  			| (583) all_1016_0_920 = all_512_1_465
% 39.78/11.61  			|
% 39.78/11.61  			| Simplifying 583 yields:
% 39.78/11.61  			| (584) all_1016_0_920 = all_512_1_465
% 39.78/11.61  			|
% 39.78/11.61  			| Combining equations (539,542) yields a new equation:
% 39.78/11.61  			| (585) all_1234_0_1109 = all_1014_0_919
% 39.78/11.61  			|
% 39.78/11.61  			| Simplifying 585 yields:
% 39.78/11.61  			| (586) all_1234_0_1109 = all_1014_0_919
% 39.78/11.61  			|
% 39.78/11.61  			| Combining equations (541,586) yields a new equation:
% 39.78/11.61  			| (587) all_1203_0_1081 = all_1014_0_919
% 39.78/11.61  			|
% 39.78/11.61  			| Simplifying 587 yields:
% 39.78/11.61  			| (588) all_1203_0_1081 = all_1014_0_919
% 39.78/11.61  			|
% 39.78/11.61  			| Combining equations (540,588) yields a new equation:
% 39.78/11.61  			| (589) all_1014_0_919 = all_89_1_77
% 39.78/11.61  			|
% 39.78/11.61  			| Combining equations (552,580) yields a new equation:
% 39.78/11.61  			| (590) all_1012_0_918 = all_970_0_883
% 39.78/11.61  			|
% 39.78/11.61  			| Simplifying 590 yields:
% 39.78/11.61  			| (591) all_1012_0_918 = all_970_0_883
% 39.78/11.61  			|
% 39.78/11.61  			| Combining equations (559,561) yields a new equation:
% 39.78/11.61  			| (592) all_439_1_396 = all_388_1_342
% 39.78/11.61  			|
% 39.78/11.61  			| Simplifying 592 yields:
% 39.78/11.61  			| (593) all_439_1_396 = all_388_1_342
% 39.78/11.61  			|
% 39.78/11.61  			| Combining equations (562,565) yields a new equation:
% 39.78/11.61  			| (594) all_447_1_404 = one
% 39.78/11.61  			|
% 39.78/11.61  			| Combining equations (563,565) yields a new equation:
% 39.78/11.61  			| (595) all_1004_0_914 = all_447_1_404
% 39.78/11.61  			|
% 39.78/11.61  			| Simplifying 595 yields:
% 39.78/11.61  			| (596) all_1004_0_914 = all_447_1_404
% 39.78/11.61  			|
% 39.78/11.61  			| Combining equations (564,565) yields a new equation:
% 39.78/11.61  			| (597) all_449_1_406 = all_447_1_404
% 39.78/11.61  			|
% 39.78/11.61  			| Simplifying 597 yields:
% 39.78/11.61  			| (598) all_449_1_406 = all_447_1_404
% 39.78/11.61  			|
% 39.78/11.61  			| Combining equations (571,572) yields a new equation:
% 39.78/11.61  			| (599) all_1061_0_960 = all_0_4_4
% 39.78/11.61  			|
% 39.78/11.61  			| Combining equations (546,584) yields a new equation:
% 39.78/11.61  			| (600) all_945_0_860 = all_512_1_465
% 39.78/11.61  			|
% 39.78/11.61  			| Simplifying 600 yields:
% 39.78/11.61  			| (601) all_945_0_860 = all_512_1_465
% 39.78/11.61  			|
% 39.78/11.61  			| Combining equations (557,591) yields a new equation:
% 39.78/11.61  			| (602) all_970_0_883 = all_69_0_62
% 39.78/11.61  			|
% 39.78/11.61  			| Combining equations (554,591) yields a new equation:
% 39.78/11.61  			| (603) all_970_0_883 = all_596_1_537
% 39.78/11.61  			|
% 39.78/11.61  			| Combining equations (596,566) yields a new equation:
% 39.78/11.61  			| (604) all_447_1_404 = all_433_1_392
% 39.78/11.61  			|
% 39.78/11.61  			| Simplifying 604 yields:
% 39.78/11.61  			| (605) all_447_1_404 = all_433_1_392
% 39.78/11.61  			|
% 39.78/11.61  			| Combining equations (603,602) yields a new equation:
% 39.78/11.61  			| (606) all_596_1_537 = all_69_0_62
% 39.78/11.61  			|
% 39.78/11.61  			| Simplifying 606 yields:
% 39.78/11.61  			| (607) all_596_1_537 = all_69_0_62
% 39.78/11.61  			|
% 39.78/11.61  			| Combining equations (547,601) yields a new equation:
% 39.78/11.61  			| (608) all_836_0_762 = all_512_1_465
% 39.78/11.61  			|
% 39.78/11.61  			| Simplifying 608 yields:
% 39.78/11.61  			| (609) all_836_0_762 = all_512_1_465
% 39.78/11.61  			|
% 39.78/11.61  			| Combining equations (555,556) yields a new equation:
% 39.78/11.61  			| (610) all_596_1_537 = all_502_1_455
% 39.78/11.61  			|
% 39.78/11.61  			| Simplifying 610 yields:
% 39.78/11.61  			| (611) all_596_1_537 = all_502_1_455
% 39.78/11.61  			|
% 39.78/11.61  			| Combining equations (549,609) yields a new equation:
% 39.78/11.61  			| (612) all_608_1_544 = all_512_1_465
% 39.78/11.61  			|
% 39.78/11.61  			| Simplifying 612 yields:
% 39.78/11.61  			| (613) all_608_1_544 = all_512_1_465
% 39.78/11.61  			|
% 39.78/11.61  			| Combining equations (548,613) yields a new equation:
% 39.78/11.61  			| (614) all_512_1_465 = all_89_0_76
% 39.78/11.61  			|
% 39.78/11.61  			| Combining equations (611,607) yields a new equation:
% 39.78/11.61  			| (615) all_502_1_455 = all_69_0_62
% 39.78/11.61  			|
% 39.78/11.61  			| Simplifying 615 yields:
% 39.78/11.61  			| (616) all_502_1_455 = all_69_0_62
% 39.78/11.61  			|
% 39.78/11.61  			| Combining equations (568,569) yields a new equation:
% 39.78/11.61  			| (617) all_518_0_469 = all_0_4_4
% 39.78/11.61  			|
% 39.78/11.61  			| Combining equations (598,567) yields a new equation:
% 39.78/11.61  			| (618) all_447_1_404 = all_398_1_351
% 39.78/11.61  			|
% 39.78/11.61  			| Simplifying 618 yields:
% 39.78/11.61  			| (619) all_447_1_404 = all_398_1_351
% 39.78/11.61  			|
% 39.78/11.61  			| Combining equations (619,605) yields a new equation:
% 39.78/11.61  			| (620) all_433_1_392 = all_398_1_351
% 39.78/11.61  			|
% 39.78/11.61  			| Combining equations (594,605) yields a new equation:
% 39.78/11.61  			| (621) all_433_1_392 = one
% 39.78/11.61  			|
% 39.78/11.61  			| Combining equations (560,593) yields a new equation:
% 39.78/11.61  			| (622) all_388_1_342 = all_0_5_5
% 39.78/11.61  			|
% 39.78/11.61  			| Combining equations (575,576) yields a new equation:
% 39.78/11.61  			| (623) all_435_0_393 = one
% 39.78/11.61  			|
% 39.78/11.61  			| Combining equations (620,621) yields a new equation:
% 39.78/11.61  			| (624) all_398_1_351 = one
% 39.78/11.61  			|
% 39.78/11.62  			| Simplifying 624 yields:
% 39.78/11.62  			| (625) all_398_1_351 = one
% 39.78/11.62  			|
% 39.78/11.62  			| Combining equations (614,601) yields a new equation:
% 39.78/11.62  			| (626) all_945_0_860 = all_89_0_76
% 39.78/11.62  			|
% 39.78/11.62  			| Combining equations (589,588) yields a new equation:
% 39.78/11.62  			| (540) all_1203_0_1081 = all_89_1_77
% 39.78/11.62  			|
% 39.78/11.62  			| From (540) and (506) follows:
% 39.78/11.62  			| (628) multiplication(all_89_1_77, a) = all_69_0_62
% 39.78/11.62  			|
% 39.78/11.62  			| From (626) and (464) follows:
% 39.78/11.62  			| (629) multiplication(all_89_0_76, a) = all_69_1_63
% 39.78/11.62  			|
% 39.78/11.62  			| From (536) and (498) follows:
% 39.78/11.62  			| (452) multiplication(all_104_0_93, all_0_5_5) = all_805_0_735
% 39.78/11.62  			|
% 39.78/11.62  			| From (537) and (509) follows:
% 39.78/11.62  			| (448) multiplication(all_89_0_76, a) = all_616_1_550
% 39.78/11.62  			|
% 39.78/11.62  			| From (538) and (510) follows:
% 39.78/11.62  			| (449) multiplication(all_89_1_77, a) = all_616_0_549
% 39.78/11.62  			|
% 39.78/11.62  			| From (616) and (427) follows:
% 39.78/11.62  			| (322) multiplication(all_0_4_4, all_0_5_5) = all_69_0_62
% 39.78/11.62  			|
% 39.78/11.62  			| From (573) and (483) follows:
% 39.78/11.62  			| (634) addition(all_25_1_24, all_104_0_93) = all_151_0_146
% 39.78/11.62  			|
% 39.78/11.62  			| From (570) and (423) follows:
% 39.78/11.62  			| (635) addition(all_27_1_26, all_104_0_93) = all_100_0_90
% 39.78/11.62  			|
% 39.78/11.62  			| From (623) and (405) follows:
% 39.78/11.62  			| (636) addition(one, all_100_0_90) = all_104_0_93
% 39.78/11.62  			|
% 39.78/11.62  			| From (625)(558) and (399) follows:
% 39.78/11.62  			| (199) addition(one, all_100_0_90) = all_0_4_4
% 39.78/11.62  			|
% 39.78/11.62  			| From (622) and (395) follows:
% 39.78/11.62  			| (638) addition(all_0_5_5, all_388_0_341) = all_69_0_62
% 39.78/11.62  			|
% 39.78/11.62  			| From (617) and (435) follows:
% 39.78/11.62  			| (201) addition(all_27_1_26, all_104_0_93) = all_0_4_4
% 39.78/11.62  			|
% 39.78/11.62  			| From (599) and (487) follows:
% 39.78/11.62  			| (337) addition(all_25_1_24, all_104_0_93) = all_0_4_4
% 39.78/11.62  			|
% 39.78/11.62  			| From (574) and (391) follows:
% 39.78/11.62  			| (368) addition(all_0_5_5, all_69_0_62) = all_159_0_157
% 39.78/11.62  			|
% 39.78/11.62  			| Instantiating formula (20) with all_89_0_76, a, all_69_1_63, all_616_1_550 and discharging atoms multiplication(all_89_0_76, a) = all_616_1_550, multiplication(all_89_0_76, a) = all_69_1_63, yields:
% 39.78/11.62  			| (642) all_616_1_550 = all_69_1_63
% 39.78/11.62  			|
% 39.78/11.62  			| Instantiating formula (20) with all_89_1_77, a, all_69_0_62, all_616_0_549 and discharging atoms multiplication(all_89_1_77, a) = all_616_0_549, multiplication(all_89_1_77, a) = all_69_0_62, yields:
% 39.78/11.62  			| (643) all_616_0_549 = all_69_0_62
% 39.78/11.62  			|
% 39.78/11.62  			| Instantiating formula (21) with all_27_1_26, all_104_0_93, all_100_0_90, all_0_4_4 and discharging atoms addition(all_27_1_26, all_104_0_93) = all_100_0_90, addition(all_27_1_26, all_104_0_93) = all_0_4_4, yields:
% 39.78/11.62  			| (644) all_100_0_90 = all_0_4_4
% 39.78/11.62  			|
% 39.78/11.62  			| Instantiating formula (21) with all_25_1_24, all_104_0_93, all_151_0_146, all_0_4_4 and discharging atoms addition(all_25_1_24, all_104_0_93) = all_151_0_146, addition(all_25_1_24, all_104_0_93) = all_0_4_4, yields:
% 39.78/11.62  			| (645) all_151_0_146 = all_0_4_4
% 39.78/11.62  			|
% 39.78/11.62  			| Instantiating formula (21) with one, all_100_0_90, all_104_0_93, all_0_4_4 and discharging atoms addition(one, all_100_0_90) = all_104_0_93, addition(one, all_100_0_90) = all_0_4_4, yields:
% 39.78/11.62  			| (646) all_104_0_93 = all_0_4_4
% 39.78/11.62  			|
% 39.78/11.62  			| From (645) and (411) follows:
% 39.78/11.62  			| (647) multiplication(all_0_4_4, all_0_5_5) = all_439_0_395
% 39.78/11.62  			|
% 39.78/11.62  			| From (646) and (452) follows:
% 39.78/11.62  			| (648) multiplication(all_0_4_4, all_0_5_5) = all_805_0_735
% 39.78/11.62  			|
% 39.78/11.62  			| From (644) and (393) follows:
% 39.78/11.62  			| (649) multiplication(all_0_4_4, all_0_5_5) = all_388_0_341
% 39.78/11.62  			|
% 39.78/11.62  			| From (642)(643) and (450) follows:
% 39.78/11.62  			| (127) addition(all_69_1_63, all_69_0_62) = all_0_1_1
% 39.78/11.62  			|
% 39.78/11.62  			| Instantiating formula (20) with all_0_4_4, all_0_5_5, all_805_0_735, all_69_0_62 and discharging atoms multiplication(all_0_4_4, all_0_5_5) = all_805_0_735, multiplication(all_0_4_4, all_0_5_5) = all_69_0_62, yields:
% 39.78/11.62  			| (651) all_805_0_735 = all_69_0_62
% 39.78/11.62  			|
% 39.78/11.62  			| Instantiating formula (20) with all_0_4_4, all_0_5_5, all_439_0_395, all_805_0_735 and discharging atoms multiplication(all_0_4_4, all_0_5_5) = all_805_0_735, multiplication(all_0_4_4, all_0_5_5) = all_439_0_395, yields:
% 39.78/11.62  			| (652) all_805_0_735 = all_439_0_395
% 39.78/11.62  			|
% 39.78/11.62  			| Instantiating formula (20) with all_0_4_4, all_0_5_5, all_388_0_341, all_805_0_735 and discharging atoms multiplication(all_0_4_4, all_0_5_5) = all_805_0_735, multiplication(all_0_4_4, all_0_5_5) = all_388_0_341, yields:
% 39.78/11.62  			| (653) all_805_0_735 = all_388_0_341
% 39.78/11.62  			|
% 39.78/11.62  			| Combining equations (653,652) yields a new equation:
% 39.78/11.62  			| (654) all_439_0_395 = all_388_0_341
% 39.78/11.62  			|
% 39.78/11.62  			| Combining equations (651,652) yields a new equation:
% 39.78/11.62  			| (655) all_439_0_395 = all_69_0_62
% 39.78/11.62  			|
% 39.78/11.62  			| Combining equations (655,654) yields a new equation:
% 39.78/11.62  			| (656) all_388_0_341 = all_69_0_62
% 39.78/11.62  			|
% 39.78/11.62  			| From (656) and (638) follows:
% 39.78/11.62  			| (657) addition(all_0_5_5, all_69_0_62) = all_69_0_62
% 39.78/11.62  			|
% 39.78/11.62  			| Instantiating formula (21) with all_0_5_5, all_69_0_62, all_69_0_62, all_159_0_157 and discharging atoms addition(all_0_5_5, all_69_0_62) = all_159_0_157, addition(all_0_5_5, all_69_0_62) = all_69_0_62, yields:
% 39.78/11.62  			| (658) all_159_0_157 = all_69_0_62
% 39.78/11.62  			|
% 39.78/11.62  			| From (658) and (232) follows:
% 39.78/11.62  			| (659) addition(all_69_1_63, all_69_0_62) = all_33_0_27
% 39.78/11.62  			|
% 39.78/11.62  			| Instantiating formula (21) with all_69_1_63, all_69_0_62, all_33_0_27, all_0_1_1 and discharging atoms addition(all_69_1_63, all_69_0_62) = all_33_0_27, addition(all_69_1_63, all_69_0_62) = all_0_1_1, yields:
% 39.78/11.62  			| (660) all_33_0_27 = all_0_1_1
% 39.78/11.62  			|
% 39.78/11.62  			| Equations (660) can reduce 79 to:
% 39.78/11.62  			| (75) $false
% 39.78/11.62  			|
% 39.78/11.62  			|-The branch is then unsatisfiable
% 39.78/11.62  		|-Branch two:
% 39.78/11.62  		| (662)  ~ (all_155_2_151 = 0) & leq(all_25_0_23, all_0_4_4) = all_155_2_151
% 39.78/11.62  		|
% 39.78/11.62  			| Applying alpha-rule on (662) yields:
% 39.78/11.62  			| (663)  ~ (all_155_2_151 = 0)
% 39.78/11.62  			| (664) leq(all_25_0_23, all_0_4_4) = all_155_2_151
% 39.78/11.62  			|
% 39.78/11.62  			| Instantiating formula (9) with all_25_0_23, all_0_4_4, all_155_2_151, 0 and discharging atoms leq(all_25_0_23, all_0_4_4) = all_155_2_151, leq(all_25_0_23, all_0_4_4) = 0, yields:
% 39.78/11.62  			| (665) all_155_2_151 = 0
% 39.78/11.62  			|
% 39.78/11.62  			| Equations (665) can reduce 663 to:
% 39.78/11.62  			| (75) $false
% 39.78/11.62  			|
% 39.78/11.62  			|-The branch is then unsatisfiable
% 39.78/11.62  	|-Branch two:
% 39.78/11.62  	| (667)  ~ (all_200_2_213 = 0) & leq(all_27_0_25, all_0_4_4) = all_200_2_213
% 39.78/11.62  	|
% 39.78/11.62  		| Applying alpha-rule on (667) yields:
% 39.78/11.62  		| (668)  ~ (all_200_2_213 = 0)
% 39.78/11.62  		| (669) leq(all_27_0_25, all_0_4_4) = all_200_2_213
% 39.78/11.62  		|
% 39.78/11.62  		| Instantiating formula (9) with all_27_0_25, all_0_4_4, all_200_2_213, 0 and discharging atoms leq(all_27_0_25, all_0_4_4) = all_200_2_213, leq(all_27_0_25, all_0_4_4) = 0, yields:
% 39.78/11.62  		| (670) all_200_2_213 = 0
% 39.78/11.62  		|
% 39.78/11.62  		| Equations (670) can reduce 668 to:
% 39.78/11.62  		| (75) $false
% 39.78/11.62  		|
% 39.78/11.62  		|-The branch is then unsatisfiable
% 39.78/11.62  % SZS output end Proof for theBenchmark
% 39.78/11.62  
% 39.78/11.62  11012ms
%------------------------------------------------------------------------------