TSTP Solution File: KLE137+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : KLE137+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n032.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 01:51:30 EDT 2022
% Result : Theorem 15.66s 4.35s
% Output : Proof 224.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.08 % Problem : KLE137+1 : TPTP v8.1.0. Released v4.0.0.
% 0.02/0.08 % Command : ePrincess-casc -timeout=%d %s
% 0.07/0.27 % Computer : n032.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 600
% 0.07/0.27 % DateTime : Thu Jun 16 08:38:29 EDT 2022
% 0.07/0.27 % CPUTime :
% 0.11/0.47 ____ _
% 0.11/0.47 ___ / __ \_____(_)___ ________ __________
% 0.11/0.47 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.11/0.47 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.11/0.47 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.11/0.47
% 0.11/0.47 A Theorem Prover for First-Order Logic
% 0.11/0.48 (ePrincess v.1.0)
% 0.11/0.48
% 0.11/0.48 (c) Philipp Rümmer, 2009-2015
% 0.11/0.48 (c) Peter Backeman, 2014-2015
% 0.11/0.48 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.11/0.48 Free software under GNU Lesser General Public License (LGPL).
% 0.11/0.48 Bug reports to peter@backeman.se
% 0.11/0.48
% 0.11/0.48 For more information, visit http://user.uu.se/~petba168/breu/
% 0.11/0.48
% 0.11/0.48 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.11/0.52 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.23/0.78 Prover 0: Preprocessing ...
% 1.80/1.05 Prover 0: Constructing countermodel ...
% 10.10/3.03 Prover 0: gave up
% 10.10/3.03 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 10.10/3.05 Prover 1: Preprocessing ...
% 10.10/3.09 Prover 1: Constructing countermodel ...
% 10.59/3.13 Prover 1: gave up
% 10.59/3.13 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 10.59/3.14 Prover 2: Preprocessing ...
% 10.59/3.19 Prover 2: Warning: ignoring some quantifiers
% 10.59/3.20 Prover 2: Constructing countermodel ...
% 15.66/4.35 Prover 2: proved (1218ms)
% 15.66/4.35
% 15.66/4.35 No countermodel exists, formula is valid
% 15.66/4.35 % SZS status Theorem for theBenchmark
% 15.66/4.35
% 15.66/4.35 Generating proof ... Warning: ignoring some quantifiers
% 221.14/175.05 found it (size 3970)
% 221.14/175.05
% 221.14/175.05 % SZS output start Proof for theBenchmark
% 221.14/175.05 Assumed formulas after preprocessing and simplification:
% 221.14/175.05 | (0) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = 0) & strong_iteration(one) = v0 & leq(v1, v0) = v2 & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v8 = 0 | ~ (strong_iteration(v3) = v6) | ~ (leq(v5, v7) = v8) | ~ (multiplication(v6, v4) = v7) | ? [v9] : ? [v10] : ? [v11] : ( ~ (v11 = 0) & leq(v5, v10) = v11 & multiplication(v3, v5) = v9 & addition(v9, v4) = v10)) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v8 = 0 | ~ (leq(v7, v5) = v8) | ~ (star(v3) = v6) | ~ (multiplication(v6, v4) = v7) | ? [v9] : ? [v10] : ? [v11] : ( ~ (v11 = 0) & leq(v10, v5) = v11 & multiplication(v3, v5) = v9 & addition(v9, v4) = v10)) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v8 = 0 | ~ (leq(v7, v5) = v8) | ~ (star(v3) = v6) | ~ (multiplication(v4, v6) = v7) | ? [v9] : ? [v10] : ? [v11] : ( ~ (v11 = 0) & leq(v10, v5) = v11 & multiplication(v5, v3) = v9 & addition(v9, v4) = v10)) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (multiplication(v4, v5) = v7) | ~ (multiplication(v3, v5) = v6) | ~ (addition(v6, v7) = v8) | ? [v9] : (multiplication(v9, v5) = v8 & addition(v3, v4) = v9)) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (multiplication(v3, v5) = v7) | ~ (multiplication(v3, v4) = v6) | ~ (addition(v6, v7) = v8) | ? [v9] : (multiplication(v3, v9) = v8 & addition(v4, v5) = v9)) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (multiplication(v6, v5) = v7) | ~ (multiplication(v3, v4) = v6) | ? [v8] : (multiplication(v4, v5) = v8 & multiplication(v3, v8) = v7)) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (multiplication(v6, v5) = v7) | ~ (addition(v3, v4) = v6) | ? [v8] : ? [v9] : (multiplication(v4, v5) = v9 & multiplication(v3, v5) = v8 & addition(v8, v9) = v7)) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (multiplication(v5, v3) = v6) | ~ (addition(v6, v4) = v7) | ? [v8] : ? [v9] : ? [v10] : ((v10 = 0 & leq(v9, v5) = 0 & star(v3) = v8 & multiplication(v4, v8) = v9) | ( ~ (v8 = 0) & leq(v7, v5) = v8))) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (multiplication(v4, v5) = v6) | ~ (multiplication(v3, v6) = v7) | ? [v8] : (multiplication(v8, v5) = v7 & multiplication(v3, v4) = v8)) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (multiplication(v3, v6) = v7) | ~ (addition(v4, v5) = v6) | ? [v8] : ? [v9] : (multiplication(v3, v5) = v9 & multiplication(v3, v4) = v8 & addition(v8, v9) = v7)) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (multiplication(v3, v5) = v6) | ~ (addition(v6, v4) = v7) | ? [v8] : ? [v9] : ? [v10] : ((v10 = 0 & strong_iteration(v3) = v8 & leq(v5, v9) = 0 & multiplication(v8, v4) = v9) | ( ~ (v8 = 0) & leq(v5, v7) = v8))) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (multiplication(v3, v5) = v6) | ~ (addition(v6, v4) = v7) | ? [v8] : ? [v9] : ? [v10] : ((v10 = 0 & leq(v9, v5) = 0 & star(v3) = v8 & multiplication(v8, v4) = v9) | ( ~ (v8 = 0) & leq(v7, v5) = v8))) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (addition(v6, v3) = v7) | ~ (addition(v5, v4) = v6) | ? [v8] : (addition(v5, v8) = v7 & addition(v4, v3) = v8)) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (addition(v5, v6) = v7) | ~ (addition(v4, v3) = v6) | ? [v8] : (addition(v8, v3) = v7 & addition(v5, v4) = v8)) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v4 = v3 | ~ (leq(v6, v5) = v4) | ~ (leq(v6, v5) = v3)) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v4 = v3 | ~ (multiplication(v6, v5) = v4) | ~ (multiplication(v6, v5) = v3)) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v4 = v3 | ~ (addition(v6, v5) = v4) | ~ (addition(v6, v5) = v3)) & ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ (addition(v3, v4) = v5) | ? [v6] : ( ~ (v6 = 0) & leq(v3, v4) = v6)) & ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (leq(v3, v4) = v5) | ? [v6] : ( ~ (v6 = v4) & addition(v3, v4) = v6)) & ! [v3] : ! [v4] : ! [v5] : (v4 = v3 | ~ (strong_iteration(v5) = v4) | ~ (strong_iteration(v5) = v3)) & ! [v3] : ! [v4] : ! [v5] : (v4 = v3 | ~ (star(v5) = v4) | ~ (star(v5) = v3)) & ! [v3] : ! [v4] : ! [v5] : ( ~ (addition(v4, v3) = v5) | addition(v3, v4) = v5) & ! [v3] : ! [v4] : ! [v5] : ( ~ (addition(v3, v4) = v5) | addition(v4, v3) = v5) & ! [v3] : ! [v4] : (v4 = v3 | ~ (multiplication(v3, one) = v4)) & ! [v3] : ! [v4] : (v4 = v3 | ~ (multiplication(one, v3) = v4)) & ! [v3] : ! [v4] : (v4 = v3 | ~ (addition(v3, v3) = v4)) & ! [v3] : ! [v4] : (v4 = v3 | ~ (addition(v3, zero) = v4)) & ! [v3] : ! [v4] : (v4 = zero | ~ (multiplication(zero, v3) = v4)) & ! [v3] : ! [v4] : ( ~ (strong_iteration(v3) = v4) | ? [v5] : ? [v6] : (star(v3) = v5 & multiplication(v4, zero) = v6 & addition(v5, v6) = v4)) & ! [v3] : ! [v4] : ( ~ (strong_iteration(v3) = v4) | ? [v5] : (multiplication(v3, v4) = v5 & addition(v5, one) = v4)) & ! [v3] : ! [v4] : ( ~ (leq(v3, v4) = 0) | addition(v3, v4) = v4) & ! [v3] : ! [v4] : ( ~ (star(v3) = v4) | ? [v5] : ? [v6] : (strong_iteration(v3) = v5 & multiplication(v5, zero) = v6 & addition(v4, v6) = v5)) & ! [v3] : ! [v4] : ( ~ (star(v3) = v4) | ? [v5] : (multiplication(v4, v3) = v5 & addition(one, v5) = v4)) & ! [v3] : ! [v4] : ( ~ (star(v3) = v4) | ? [v5] : (multiplication(v3, v4) = v5 & addition(one, v5) = v4)) & ! [v3] : ! [v4] : ( ~ (addition(v3, v4) = v4) | leq(v3, v4) = 0) & ? [v3] : ? [v4] : ? [v5] : leq(v4, v3) = v5 & ? [v3] : ? [v4] : ? [v5] : multiplication(v4, v3) = v5 & ? [v3] : ? [v4] : ? [v5] : addition(v4, v3) = v5 & ? [v3] : ? [v4] : strong_iteration(v3) = v4 & ? [v3] : ? [v4] : star(v3) = v4)
% 221.31/175.09 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2 yields:
% 221.31/175.09 | (1) ~ (all_0_0_0 = 0) & strong_iteration(one) = all_0_2_2 & leq(all_0_1_1, all_0_2_2) = all_0_0_0 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (strong_iteration(v0) = v3) | ~ (leq(v2, v4) = v5) | ~ (multiplication(v3, v1) = v4) | ? [v6] : ? [v7] : ? [v8] : ( ~ (v8 = 0) & leq(v2, v7) = v8 & multiplication(v0, v2) = v6 & addition(v6, v1) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (leq(v4, v2) = v5) | ~ (star(v0) = v3) | ~ (multiplication(v3, v1) = v4) | ? [v6] : ? [v7] : ? [v8] : ( ~ (v8 = 0) & leq(v7, v2) = v8 & multiplication(v0, v2) = v6 & addition(v6, v1) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (leq(v4, v2) = v5) | ~ (star(v0) = v3) | ~ (multiplication(v1, v3) = v4) | ? [v6] : ? [v7] : ? [v8] : ( ~ (v8 = 0) & leq(v7, v2) = v8 & multiplication(v2, v0) = v6 & addition(v6, v1) = 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(v2, v0) = v3) | ~ (addition(v3, v1) = v4) | ? [v5] : ? [v6] : ? [v7] : ((v7 = 0 & leq(v6, v2) = 0 & star(v0) = v5 & multiplication(v1, v5) = v6) | ( ~ (v5 = 0) & leq(v4, v2) = v5))) & ! [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, v2) = v3) | ~ (addition(v3, v1) = v4) | ? [v5] : ? [v6] : ? [v7] : ((v7 = 0 & strong_iteration(v0) = v5 & leq(v2, v6) = 0 & multiplication(v5, v1) = v6) | ( ~ (v5 = 0) & leq(v2, v4) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v0, v2) = v3) | ~ (addition(v3, v1) = v4) | ? [v5] : ? [v6] : ? [v7] : ((v7 = 0 & leq(v6, v2) = 0 & star(v0) = v5 & multiplication(v5, v1) = v6) | ( ~ (v5 = 0) & leq(v4, v2) = 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 | ~ (strong_iteration(v2) = v1) | ~ (strong_iteration(v2) = v0)) & ! [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(zero, v0) = v1)) & ! [v0] : ! [v1] : ( ~ (strong_iteration(v0) = v1) | ? [v2] : ? [v3] : (star(v0) = v2 & multiplication(v1, zero) = v3 & addition(v2, v3) = v1)) & ! [v0] : ! [v1] : ( ~ (strong_iteration(v0) = v1) | ? [v2] : (multiplication(v0, v1) = v2 & addition(v2, one) = v1)) & ! [v0] : ! [v1] : ( ~ (leq(v0, v1) = 0) | addition(v0, v1) = v1) & ! [v0] : ! [v1] : ( ~ (star(v0) = v1) | ? [v2] : ? [v3] : (strong_iteration(v0) = v2 & multiplication(v2, zero) = v3 & addition(v1, v3) = v2)) & ! [v0] : ! [v1] : ( ~ (star(v0) = v1) | ? [v2] : (multiplication(v1, v0) = v2 & addition(one, v2) = v1)) & ! [v0] : ! [v1] : ( ~ (star(v0) = v1) | ? [v2] : (multiplication(v0, v1) = v2 & addition(one, v2) = 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] : strong_iteration(v0) = v1 & ? [v0] : ? [v1] : star(v0) = v1
% 221.31/175.10 |
% 221.31/175.10 | Applying alpha-rule on (1) yields:
% 221.31/175.10 | (2) ! [v0] : ! [v1] : (v1 = v0 | ~ (multiplication(v0, one) = v1))
% 221.31/175.10 | (3) ? [v0] : ? [v1] : ? [v2] : addition(v1, v0) = v2
% 221.31/175.10 | (4) ! [v0] : ! [v1] : ( ~ (star(v0) = v1) | ? [v2] : (multiplication(v0, v1) = v2 & addition(one, v2) = v1))
% 221.31/175.10 | (5) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (leq(v4, v2) = v5) | ~ (star(v0) = v3) | ~ (multiplication(v3, v1) = v4) | ? [v6] : ? [v7] : ? [v8] : ( ~ (v8 = 0) & leq(v7, v2) = v8 & multiplication(v0, v2) = v6 & addition(v6, v1) = v7))
% 221.31/175.10 | (6) ! [v0] : ! [v1] : (v1 = zero | ~ (multiplication(zero, v0) = v1))
% 221.31/175.10 | (7) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (leq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = v1) & addition(v0, v1) = v3))
% 221.31/175.10 | (8) ! [v0] : ! [v1] : ( ~ (star(v0) = v1) | ? [v2] : (multiplication(v1, v0) = v2 & addition(one, v2) = v1))
% 221.31/175.10 | (9) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (addition(v3, v0) = v4) | ~ (addition(v2, v1) = v3) | ? [v5] : (addition(v2, v5) = v4 & addition(v1, v0) = v5))
% 221.31/175.10 | (10) ! [v0] : ! [v1] : ( ~ (star(v0) = v1) | ? [v2] : ? [v3] : (strong_iteration(v0) = v2 & multiplication(v2, zero) = v3 & addition(v1, v3) = v2))
% 221.31/175.10 | (11) leq(all_0_1_1, all_0_2_2) = all_0_0_0
% 221.31/175.10 | (12) ! [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))
% 221.31/175.10 | (13) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v3, v2) = v4) | ~ (multiplication(v0, v1) = v3) | ? [v5] : (multiplication(v1, v2) = v5 & multiplication(v0, v5) = v4))
% 221.31/175.10 | (14) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (addition(v2, v3) = v4) | ~ (addition(v1, v0) = v3) | ? [v5] : (addition(v5, v0) = v4 & addition(v2, v1) = v5))
% 221.31/175.10 | (15) ? [v0] : ? [v1] : ? [v2] : multiplication(v1, v0) = v2
% 221.31/175.10 | (16) ! [v0] : ! [v1] : ( ~ (addition(v0, v1) = v1) | leq(v0, v1) = 0)
% 221.31/175.11 | (17) ! [v0] : ! [v1] : ( ~ (leq(v0, v1) = 0) | addition(v0, v1) = v1)
% 221.31/175.11 | (18) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v2, v0) = v3) | ~ (addition(v3, v1) = v4) | ? [v5] : ? [v6] : ? [v7] : ((v7 = 0 & leq(v6, v2) = 0 & star(v0) = v5 & multiplication(v1, v5) = v6) | ( ~ (v5 = 0) & leq(v4, v2) = v5)))
% 221.31/175.11 | (19) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (multiplication(v3, v2) = v1) | ~ (multiplication(v3, v2) = v0))
% 221.31/175.11 | (20) ! [v0] : ! [v1] : (v1 = v0 | ~ (multiplication(one, v0) = v1))
% 221.31/175.11 | (21) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (addition(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v0, v1) = v3))
% 221.31/175.11 | (22) ! [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))
% 221.31/175.11 | (23) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v0, v2) = v3) | ~ (addition(v3, v1) = v4) | ? [v5] : ? [v6] : ? [v7] : ((v7 = 0 & strong_iteration(v0) = v5 & leq(v2, v6) = 0 & multiplication(v5, v1) = v6) | ( ~ (v5 = 0) & leq(v2, v4) = v5)))
% 221.31/175.11 | (24) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (strong_iteration(v0) = v3) | ~ (leq(v2, v4) = v5) | ~ (multiplication(v3, v1) = v4) | ? [v6] : ? [v7] : ? [v8] : ( ~ (v8 = 0) & leq(v2, v7) = v8 & multiplication(v0, v2) = v6 & addition(v6, v1) = v7))
% 221.31/175.11 | (25) ! [v0] : ! [v1] : (v1 = v0 | ~ (addition(v0, v0) = v1))
% 221.31/175.11 | (26) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v1, v2) = v3) | ~ (multiplication(v0, v3) = v4) | ? [v5] : (multiplication(v5, v2) = v4 & multiplication(v0, v1) = v5))
% 221.31/175.11 | (27) ! [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))
% 221.31/175.11 | (28) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0))
% 221.31/175.11 | (29) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strong_iteration(v2) = v1) | ~ (strong_iteration(v2) = v0))
% 221.31/175.11 | (30) ? [v0] : ? [v1] : star(v0) = v1
% 221.31/175.11 | (31) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (star(v2) = v1) | ~ (star(v2) = v0))
% 221.31/175.11 | (32) ? [v0] : ? [v1] : ? [v2] : leq(v1, v0) = v2
% 221.31/175.11 | (33) ! [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))
% 221.31/175.11 | (34) ! [v0] : ! [v1] : (v1 = v0 | ~ (addition(v0, zero) = v1))
% 221.31/175.11 | (35) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (leq(v4, v2) = v5) | ~ (star(v0) = v3) | ~ (multiplication(v1, v3) = v4) | ? [v6] : ? [v7] : ? [v8] : ( ~ (v8 = 0) & leq(v7, v2) = v8 & multiplication(v2, v0) = v6 & addition(v6, v1) = v7))
% 221.31/175.11 | (36) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (addition(v3, v2) = v1) | ~ (addition(v3, v2) = v0))
% 221.31/175.11 | (37) ! [v0] : ! [v1] : ! [v2] : ( ~ (addition(v0, v1) = v2) | addition(v1, v0) = v2)
% 221.31/175.11 | (38) ! [v0] : ! [v1] : ! [v2] : ( ~ (addition(v1, v0) = v2) | addition(v0, v1) = v2)
% 221.31/175.11 | (39) ! [v0] : ! [v1] : ( ~ (strong_iteration(v0) = v1) | ? [v2] : (multiplication(v0, v1) = v2 & addition(v2, one) = v1))
% 221.31/175.11 | (40) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v0, v2) = v3) | ~ (addition(v3, v1) = v4) | ? [v5] : ? [v6] : ? [v7] : ((v7 = 0 & leq(v6, v2) = 0 & star(v0) = v5 & multiplication(v5, v1) = v6) | ( ~ (v5 = 0) & leq(v4, v2) = v5)))
% 221.31/175.11 | (41) ? [v0] : ? [v1] : strong_iteration(v0) = v1
% 221.31/175.11 | (42) ! [v0] : ! [v1] : ( ~ (strong_iteration(v0) = v1) | ? [v2] : ? [v3] : (star(v0) = v2 & multiplication(v1, zero) = v3 & addition(v2, v3) = v1))
% 221.31/175.11 | (43) strong_iteration(one) = all_0_2_2
% 221.31/175.11 | (44) ~ (all_0_0_0 = 0)
% 221.31/175.11 |
% 221.31/175.11 | Instantiating formula (42) with all_0_2_2, one and discharging atoms strong_iteration(one) = all_0_2_2, yields:
% 221.31/175.11 | (45) ? [v0] : ? [v1] : (star(one) = v0 & multiplication(all_0_2_2, zero) = v1 & addition(v0, v1) = all_0_2_2)
% 221.31/175.11 |
% 221.31/175.11 | Instantiating formula (39) with all_0_2_2, one and discharging atoms strong_iteration(one) = all_0_2_2, yields:
% 221.31/175.11 | (46) ? [v0] : (multiplication(one, all_0_2_2) = v0 & addition(v0, one) = all_0_2_2)
% 221.31/175.12 |
% 221.31/175.12 | Instantiating formula (7) with all_0_0_0, all_0_2_2, all_0_1_1 and discharging atoms leq(all_0_1_1, all_0_2_2) = all_0_0_0, yields:
% 221.31/175.12 | (47) all_0_0_0 = 0 | ? [v0] : ( ~ (v0 = all_0_2_2) & addition(all_0_1_1, all_0_2_2) = v0)
% 221.31/175.12 |
% 221.31/175.12 | Instantiating (46) with all_18_0_16 yields:
% 221.31/175.12 | (48) multiplication(one, all_0_2_2) = all_18_0_16 & addition(all_18_0_16, one) = all_0_2_2
% 221.31/175.12 |
% 221.31/175.12 | Applying alpha-rule on (48) yields:
% 221.31/175.12 | (49) multiplication(one, all_0_2_2) = all_18_0_16
% 221.31/175.12 | (50) addition(all_18_0_16, one) = all_0_2_2
% 221.31/175.12 |
% 221.31/175.12 | Instantiating (45) with all_20_0_17, all_20_1_18 yields:
% 221.31/175.12 | (51) star(one) = all_20_1_18 & multiplication(all_0_2_2, zero) = all_20_0_17 & addition(all_20_1_18, all_20_0_17) = all_0_2_2
% 221.31/175.12 |
% 221.31/175.12 | Applying alpha-rule on (51) yields:
% 221.31/175.12 | (52) star(one) = all_20_1_18
% 221.31/175.12 | (53) multiplication(all_0_2_2, zero) = all_20_0_17
% 221.31/175.12 | (54) addition(all_20_1_18, all_20_0_17) = all_0_2_2
% 221.31/175.12 |
% 221.31/175.12 +-Applying beta-rule and splitting (47), into two cases.
% 221.31/175.12 |-Branch one:
% 221.31/175.12 | (55) all_0_0_0 = 0
% 221.31/175.12 |
% 221.31/175.12 | Equations (55) can reduce 44 to:
% 221.31/175.12 | (56) $false
% 221.31/175.12 |
% 221.31/175.12 |-The branch is then unsatisfiable
% 221.31/175.12 |-Branch two:
% 221.31/175.12 | (44) ~ (all_0_0_0 = 0)
% 221.31/175.12 | (58) ? [v0] : ( ~ (v0 = all_0_2_2) & addition(all_0_1_1, all_0_2_2) = v0)
% 221.31/175.12 |
% 221.31/175.12 | Instantiating (58) with all_26_0_19 yields:
% 221.31/175.12 | (59) ~ (all_26_0_19 = all_0_2_2) & addition(all_0_1_1, all_0_2_2) = all_26_0_19
% 221.31/175.12 |
% 221.31/175.12 | Applying alpha-rule on (59) yields:
% 221.31/175.12 | (60) ~ (all_26_0_19 = all_0_2_2)
% 221.31/175.12 | (61) addition(all_0_1_1, all_0_2_2) = all_26_0_19
% 221.31/175.12 |
% 221.31/175.12 | Instantiating formula (20) with all_18_0_16, all_0_2_2 and discharging atoms multiplication(one, all_0_2_2) = all_18_0_16, yields:
% 221.31/175.12 | (62) all_18_0_16 = all_0_2_2
% 221.31/175.12 |
% 221.31/175.12 | From (62) and (49) follows:
% 221.31/175.12 | (63) multiplication(one, all_0_2_2) = all_0_2_2
% 221.31/175.12 |
% 221.31/175.12 | From (62) and (50) follows:
% 221.31/175.12 | (64) addition(all_0_2_2, one) = all_0_2_2
% 221.31/175.12 |
% 221.31/175.12 | Instantiating formula (8) with all_20_1_18, one and discharging atoms star(one) = all_20_1_18, yields:
% 221.31/175.12 | (65) ? [v0] : (multiplication(all_20_1_18, one) = v0 & addition(one, v0) = all_20_1_18)
% 221.31/175.12 |
% 221.31/175.12 | Instantiating formula (4) with all_20_1_18, one and discharging atoms star(one) = all_20_1_18, yields:
% 221.31/175.12 | (66) ? [v0] : (multiplication(one, all_20_1_18) = v0 & addition(one, v0) = all_20_1_18)
% 221.31/175.12 |
% 221.31/175.12 | Instantiating formula (13) with all_20_0_17, all_0_2_2, zero, all_0_2_2, one and discharging atoms multiplication(all_0_2_2, zero) = all_20_0_17, multiplication(one, all_0_2_2) = all_0_2_2, yields:
% 221.31/175.12 | (67) ? [v0] : (multiplication(all_0_2_2, zero) = v0 & multiplication(one, v0) = all_20_0_17)
% 221.31/175.12 |
% 221.31/175.12 | Instantiating formula (26) with all_0_2_2, all_0_2_2, all_0_2_2, one, one and discharging atoms multiplication(one, all_0_2_2) = all_0_2_2, yields:
% 221.31/175.12 | (68) ? [v0] : (multiplication(v0, all_0_2_2) = all_0_2_2 & multiplication(one, one) = v0)
% 221.31/175.12 |
% 221.31/175.12 | Instantiating formula (22) with all_20_0_17, all_0_2_2, zero, all_20_0_17, all_20_1_18 and discharging atoms multiplication(all_0_2_2, zero) = all_20_0_17, addition(all_20_1_18, all_20_0_17) = all_0_2_2, yields:
% 221.31/175.12 | (69) ? [v0] : ? [v1] : (multiplication(all_20_0_17, zero) = v1 & multiplication(all_20_1_18, zero) = v0 & addition(v0, v1) = all_20_0_17)
% 221.31/175.12 |
% 221.31/175.12 | Instantiating formula (12) with all_0_2_2, all_0_2_2, all_20_0_17, all_20_1_18, one and discharging atoms multiplication(one, all_0_2_2) = all_0_2_2, addition(all_20_1_18, all_20_0_17) = all_0_2_2, yields:
% 221.31/175.12 | (70) ? [v0] : ? [v1] : (multiplication(one, all_20_0_17) = v1 & multiplication(one, all_20_1_18) = v0 & addition(v0, v1) = all_0_2_2)
% 221.31/175.12 |
% 221.31/175.12 | Instantiating formula (21) with all_0_2_2, all_20_0_17, all_20_1_18 and discharging atoms addition(all_20_1_18, all_20_0_17) = all_0_2_2, yields:
% 221.31/175.12 | (71) all_20_0_17 = all_0_2_2 | ? [v0] : ( ~ (v0 = 0) & leq(all_20_1_18, all_20_0_17) = v0)
% 221.31/175.12 |
% 221.31/175.12 | Instantiating formula (38) with all_0_2_2, all_20_1_18, all_20_0_17 and discharging atoms addition(all_20_1_18, all_20_0_17) = all_0_2_2, yields:
% 221.31/175.12 | (72) addition(all_20_0_17, all_20_1_18) = all_0_2_2
% 221.31/175.12 |
% 221.31/175.12 | Instantiating formula (14) with all_26_0_19, all_0_2_2, all_0_1_1, all_20_1_18, all_20_0_17 and discharging atoms addition(all_20_1_18, all_20_0_17) = all_0_2_2, addition(all_0_1_1, all_0_2_2) = all_26_0_19, yields:
% 221.31/175.12 | (73) ? [v0] : (addition(v0, all_20_0_17) = all_26_0_19 & addition(all_0_1_1, all_20_1_18) = v0)
% 221.31/175.12 |
% 221.31/175.12 | Instantiating formula (38) with all_26_0_19, all_0_1_1, all_0_2_2 and discharging atoms addition(all_0_1_1, all_0_2_2) = all_26_0_19, yields:
% 221.31/175.12 | (74) addition(all_0_2_2, all_0_1_1) = all_26_0_19
% 221.31/175.12 |
% 221.31/175.12 | Instantiating formula (22) with all_20_0_17, all_0_2_2, zero, one, all_0_2_2 and discharging atoms multiplication(all_0_2_2, zero) = all_20_0_17, addition(all_0_2_2, one) = all_0_2_2, yields:
% 221.31/175.12 | (75) ? [v0] : ? [v1] : (multiplication(all_0_2_2, zero) = v0 & multiplication(one, zero) = v1 & addition(v0, v1) = all_20_0_17)
% 221.31/175.12 |
% 221.31/175.12 | Instantiating formula (23) with all_0_2_2, all_0_2_2, all_0_2_2, one, one and discharging atoms multiplication(one, all_0_2_2) = all_0_2_2, addition(all_0_2_2, one) = all_0_2_2, yields:
% 221.31/175.12 | (76) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(one) = v0 & leq(all_0_2_2, v1) = 0 & multiplication(v0, one) = v1) | ( ~ (v0 = 0) & leq(all_0_2_2, all_0_2_2) = v0))
% 221.31/175.12 |
% 221.31/175.12 | Instantiating formula (40) with all_0_2_2, all_0_2_2, all_0_2_2, one, one and discharging atoms multiplication(one, all_0_2_2) = all_0_2_2, addition(all_0_2_2, one) = all_0_2_2, yields:
% 221.31/175.12 | (77) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, all_0_2_2) = 0 & star(one) = v0 & multiplication(v0, one) = v1) | ( ~ (v0 = 0) & leq(all_0_2_2, all_0_2_2) = v0))
% 221.31/175.12 |
% 221.31/175.12 | Instantiating formula (12) with all_0_2_2, all_0_2_2, one, all_0_2_2, one and discharging atoms multiplication(one, all_0_2_2) = all_0_2_2, addition(all_0_2_2, one) = all_0_2_2, yields:
% 221.31/175.12 | (78) ? [v0] : ? [v1] : (multiplication(one, all_0_2_2) = v0 & multiplication(one, one) = v1 & addition(v0, v1) = all_0_2_2)
% 221.31/175.13 |
% 221.31/175.13 | Instantiating formula (9) with all_0_2_2, all_0_2_2, all_20_1_18, all_20_0_17, one and discharging atoms addition(all_20_1_18, all_20_0_17) = all_0_2_2, addition(all_0_2_2, one) = all_0_2_2, yields:
% 221.31/175.13 | (79) ? [v0] : (addition(all_20_0_17, one) = v0 & addition(all_20_1_18, v0) = all_0_2_2)
% 221.31/175.13 |
% 221.31/175.13 | Instantiating formula (14) with all_26_0_19, all_0_2_2, all_0_1_1, all_0_2_2, one and discharging atoms addition(all_0_1_1, all_0_2_2) = all_26_0_19, addition(all_0_2_2, one) = all_0_2_2, yields:
% 221.31/175.13 | (80) ? [v0] : (addition(v0, one) = all_26_0_19 & addition(all_0_1_1, all_0_2_2) = v0)
% 221.31/175.13 |
% 221.31/175.13 | Instantiating formula (9) with all_0_2_2, all_0_2_2, all_0_2_2, one, one and discharging atoms addition(all_0_2_2, one) = all_0_2_2, yields:
% 221.31/175.13 | (81) ? [v0] : (addition(all_0_2_2, v0) = all_0_2_2 & addition(one, one) = v0)
% 221.31/175.13 |
% 221.31/175.13 | Instantiating formula (38) with all_0_2_2, all_0_2_2, one and discharging atoms addition(all_0_2_2, one) = all_0_2_2, yields:
% 221.31/175.13 | (82) addition(one, all_0_2_2) = all_0_2_2
% 221.31/175.13 |
% 221.31/175.13 | Instantiating (79) with all_38_0_20 yields:
% 221.31/175.13 | (83) addition(all_20_0_17, one) = all_38_0_20 & addition(all_20_1_18, all_38_0_20) = all_0_2_2
% 221.31/175.13 |
% 221.31/175.13 | Applying alpha-rule on (83) yields:
% 221.31/175.13 | (84) addition(all_20_0_17, one) = all_38_0_20
% 221.31/175.13 | (85) addition(all_20_1_18, all_38_0_20) = all_0_2_2
% 221.31/175.13 |
% 221.31/175.13 | Instantiating (77) with all_40_0_21, all_40_1_22, all_40_2_23 yields:
% 221.31/175.13 | (86) (all_40_0_21 = 0 & leq(all_40_1_22, all_0_2_2) = 0 & star(one) = all_40_2_23 & multiplication(all_40_2_23, one) = all_40_1_22) | ( ~ (all_40_2_23 = 0) & leq(all_0_2_2, all_0_2_2) = all_40_2_23)
% 221.31/175.13 |
% 221.31/175.13 | Instantiating (76) with all_41_0_24, all_41_1_25, all_41_2_26 yields:
% 221.31/175.13 | (87) (all_41_0_24 = 0 & strong_iteration(one) = all_41_2_26 & leq(all_0_2_2, all_41_1_25) = 0 & multiplication(all_41_2_26, one) = all_41_1_25) | ( ~ (all_41_2_26 = 0) & leq(all_0_2_2, all_0_2_2) = all_41_2_26)
% 221.31/175.13 |
% 221.31/175.13 | Instantiating (78) with all_42_0_27, all_42_1_28 yields:
% 221.31/175.13 | (88) multiplication(one, all_0_2_2) = all_42_1_28 & multiplication(one, one) = all_42_0_27 & addition(all_42_1_28, all_42_0_27) = all_0_2_2
% 221.31/175.13 |
% 221.31/175.13 | Applying alpha-rule on (88) yields:
% 221.31/175.13 | (89) multiplication(one, all_0_2_2) = all_42_1_28
% 221.31/175.13 | (90) multiplication(one, one) = all_42_0_27
% 221.31/175.13 | (91) addition(all_42_1_28, all_42_0_27) = all_0_2_2
% 221.31/175.13 |
% 221.31/175.13 | Instantiating (73) with all_44_0_29 yields:
% 221.31/175.13 | (92) addition(all_44_0_29, all_20_0_17) = all_26_0_19 & addition(all_0_1_1, all_20_1_18) = all_44_0_29
% 221.31/175.13 |
% 221.31/175.13 | Applying alpha-rule on (92) yields:
% 221.31/175.13 | (93) addition(all_44_0_29, all_20_0_17) = all_26_0_19
% 221.31/175.13 | (94) addition(all_0_1_1, all_20_1_18) = all_44_0_29
% 221.31/175.13 |
% 221.31/175.13 | Instantiating (70) with all_47_0_33, all_47_1_34 yields:
% 221.31/175.13 | (95) multiplication(one, all_20_0_17) = all_47_0_33 & multiplication(one, all_20_1_18) = all_47_1_34 & addition(all_47_1_34, all_47_0_33) = all_0_2_2
% 221.31/175.13 |
% 221.31/175.13 | Applying alpha-rule on (95) yields:
% 221.31/175.13 | (96) multiplication(one, all_20_0_17) = all_47_0_33
% 221.31/175.13 | (97) multiplication(one, all_20_1_18) = all_47_1_34
% 221.31/175.13 | (98) addition(all_47_1_34, all_47_0_33) = all_0_2_2
% 221.31/175.13 |
% 221.31/175.13 | Instantiating (69) with all_49_0_35, all_49_1_36 yields:
% 221.31/175.13 | (99) multiplication(all_20_0_17, zero) = all_49_0_35 & multiplication(all_20_1_18, zero) = all_49_1_36 & addition(all_49_1_36, all_49_0_35) = all_20_0_17
% 221.31/175.13 |
% 221.31/175.13 | Applying alpha-rule on (99) yields:
% 221.31/175.13 | (100) multiplication(all_20_0_17, zero) = all_49_0_35
% 221.31/175.13 | (101) multiplication(all_20_1_18, zero) = all_49_1_36
% 221.31/175.13 | (102) addition(all_49_1_36, all_49_0_35) = all_20_0_17
% 221.31/175.13 |
% 221.31/175.13 | Instantiating (75) with all_51_0_37, all_51_1_38 yields:
% 221.31/175.13 | (103) multiplication(all_0_2_2, zero) = all_51_1_38 & multiplication(one, zero) = all_51_0_37 & addition(all_51_1_38, all_51_0_37) = all_20_0_17
% 221.31/175.13 |
% 221.31/175.13 | Applying alpha-rule on (103) yields:
% 221.31/175.13 | (104) multiplication(all_0_2_2, zero) = all_51_1_38
% 221.31/175.13 | (105) multiplication(one, zero) = all_51_0_37
% 221.31/175.13 | (106) addition(all_51_1_38, all_51_0_37) = all_20_0_17
% 221.31/175.13 |
% 221.31/175.13 | Instantiating (81) with all_53_0_39 yields:
% 221.31/175.13 | (107) addition(all_0_2_2, all_53_0_39) = all_0_2_2 & addition(one, one) = all_53_0_39
% 221.31/175.13 |
% 221.31/175.13 | Applying alpha-rule on (107) yields:
% 221.31/175.13 | (108) addition(all_0_2_2, all_53_0_39) = all_0_2_2
% 221.31/175.13 | (109) addition(one, one) = all_53_0_39
% 221.31/175.13 |
% 221.31/175.13 | Instantiating (80) with all_55_0_40 yields:
% 221.31/175.13 | (110) addition(all_55_0_40, one) = all_26_0_19 & addition(all_0_1_1, all_0_2_2) = all_55_0_40
% 221.31/175.13 |
% 221.31/175.13 | Applying alpha-rule on (110) yields:
% 221.31/175.13 | (111) addition(all_55_0_40, one) = all_26_0_19
% 221.31/175.13 | (112) addition(all_0_1_1, all_0_2_2) = all_55_0_40
% 221.31/175.13 |
% 221.31/175.13 | Instantiating (68) with all_57_0_41 yields:
% 221.31/175.13 | (113) multiplication(all_57_0_41, all_0_2_2) = all_0_2_2 & multiplication(one, one) = all_57_0_41
% 221.31/175.13 |
% 221.31/175.13 | Applying alpha-rule on (113) yields:
% 221.31/175.13 | (114) multiplication(all_57_0_41, all_0_2_2) = all_0_2_2
% 221.31/175.13 | (115) multiplication(one, one) = all_57_0_41
% 221.31/175.13 |
% 221.31/175.13 | Instantiating (67) with all_59_0_42 yields:
% 221.31/175.13 | (116) multiplication(all_0_2_2, zero) = all_59_0_42 & multiplication(one, all_59_0_42) = all_20_0_17
% 221.31/175.13 |
% 221.31/175.13 | Applying alpha-rule on (116) yields:
% 221.31/175.13 | (117) multiplication(all_0_2_2, zero) = all_59_0_42
% 221.31/175.13 | (118) multiplication(one, all_59_0_42) = all_20_0_17
% 221.31/175.13 |
% 221.31/175.13 | Instantiating (66) with all_61_0_43 yields:
% 221.31/175.13 | (119) multiplication(one, all_20_1_18) = all_61_0_43 & addition(one, all_61_0_43) = all_20_1_18
% 221.31/175.13 |
% 221.31/175.13 | Applying alpha-rule on (119) yields:
% 221.31/175.13 | (120) multiplication(one, all_20_1_18) = all_61_0_43
% 221.31/175.13 | (121) addition(one, all_61_0_43) = all_20_1_18
% 221.31/175.13 |
% 221.31/175.13 | Instantiating (65) with all_63_0_44 yields:
% 221.31/175.13 | (122) multiplication(all_20_1_18, one) = all_63_0_44 & addition(one, all_63_0_44) = all_20_1_18
% 221.31/175.13 |
% 221.31/175.13 | Applying alpha-rule on (122) yields:
% 221.31/175.13 | (123) multiplication(all_20_1_18, one) = all_63_0_44
% 221.31/175.13 | (124) addition(one, all_63_0_44) = all_20_1_18
% 221.31/175.13 |
% 221.31/175.13 | Instantiating formula (2) with all_63_0_44, all_20_1_18 and discharging atoms multiplication(all_20_1_18, one) = all_63_0_44, yields:
% 221.31/175.13 | (125) all_63_0_44 = all_20_1_18
% 221.31/175.13 |
% 221.31/175.14 | Instantiating formula (19) with all_0_2_2, zero, all_51_1_38, all_59_0_42 and discharging atoms multiplication(all_0_2_2, zero) = all_59_0_42, multiplication(all_0_2_2, zero) = all_51_1_38, yields:
% 221.31/175.14 | (126) all_59_0_42 = all_51_1_38
% 221.31/175.14 |
% 221.31/175.14 | Instantiating formula (20) with all_20_0_17, all_59_0_42 and discharging atoms multiplication(one, all_59_0_42) = all_20_0_17, yields:
% 221.31/175.14 | (127) all_59_0_42 = all_20_0_17
% 221.31/175.14 |
% 221.31/175.14 | Instantiating formula (20) with all_47_0_33, all_20_0_17 and discharging atoms multiplication(one, all_20_0_17) = all_47_0_33, yields:
% 221.31/175.14 | (128) all_47_0_33 = all_20_0_17
% 221.31/175.14 |
% 221.31/175.14 | Instantiating formula (20) with all_61_0_43, all_20_1_18 and discharging atoms multiplication(one, all_20_1_18) = all_61_0_43, yields:
% 221.31/175.14 | (129) all_61_0_43 = all_20_1_18
% 221.31/175.14 |
% 221.31/175.14 | Instantiating formula (19) with one, all_20_1_18, all_47_1_34, all_61_0_43 and discharging atoms multiplication(one, all_20_1_18) = all_61_0_43, multiplication(one, all_20_1_18) = all_47_1_34, yields:
% 221.31/175.14 | (130) all_61_0_43 = all_47_1_34
% 221.31/175.14 |
% 221.31/175.14 | Instantiating formula (20) with all_42_1_28, all_0_2_2 and discharging atoms multiplication(one, all_0_2_2) = all_42_1_28, yields:
% 221.31/175.14 | (131) all_42_1_28 = all_0_2_2
% 221.31/175.14 |
% 221.31/175.14 | Instantiating formula (2) with all_57_0_41, one and discharging atoms multiplication(one, one) = all_57_0_41, yields:
% 221.31/175.14 | (132) all_57_0_41 = one
% 221.31/175.14 |
% 221.31/175.14 | Instantiating formula (19) with one, one, all_42_0_27, all_57_0_41 and discharging atoms multiplication(one, one) = all_57_0_41, multiplication(one, one) = all_42_0_27, yields:
% 221.31/175.14 | (133) all_57_0_41 = all_42_0_27
% 221.31/175.14 |
% 221.31/175.14 | Instantiating formula (20) with all_51_0_37, zero and discharging atoms multiplication(one, zero) = all_51_0_37, yields:
% 221.31/175.14 | (134) all_51_0_37 = zero
% 221.31/175.14 |
% 221.31/175.14 | Instantiating formula (36) with all_0_1_1, all_0_2_2, all_55_0_40, all_26_0_19 and discharging atoms addition(all_0_1_1, all_0_2_2) = all_55_0_40, addition(all_0_1_1, all_0_2_2) = all_26_0_19, yields:
% 221.31/175.14 | (135) all_55_0_40 = all_26_0_19
% 221.31/175.14 |
% 221.31/175.14 | Instantiating formula (25) with all_53_0_39, one and discharging atoms addition(one, one) = all_53_0_39, yields:
% 221.31/175.14 | (136) all_53_0_39 = one
% 221.31/175.14 |
% 221.31/175.14 | Combining equations (130,129) yields a new equation:
% 221.31/175.14 | (137) all_47_1_34 = all_20_1_18
% 221.31/175.14 |
% 221.31/175.14 | Simplifying 137 yields:
% 221.31/175.14 | (138) all_47_1_34 = all_20_1_18
% 221.31/175.14 |
% 221.31/175.14 | Combining equations (126,127) yields a new equation:
% 221.31/175.14 | (139) all_51_1_38 = all_20_0_17
% 221.31/175.14 |
% 221.31/175.14 | Simplifying 139 yields:
% 221.31/175.14 | (140) all_51_1_38 = all_20_0_17
% 221.31/175.14 |
% 221.31/175.14 | Combining equations (132,133) yields a new equation:
% 221.31/175.14 | (141) all_42_0_27 = one
% 221.31/175.14 |
% 221.31/175.14 | From (125) and (123) follows:
% 221.31/175.14 | (142) multiplication(all_20_1_18, one) = all_20_1_18
% 221.31/175.14 |
% 221.31/175.14 | From (140) and (104) follows:
% 221.31/175.14 | (53) multiplication(all_0_2_2, zero) = all_20_0_17
% 221.31/175.14 |
% 221.31/175.14 | From (128) and (96) follows:
% 221.31/175.14 | (144) multiplication(one, all_20_0_17) = all_20_0_17
% 221.31/175.14 |
% 221.31/175.14 | From (138) and (97) follows:
% 221.31/175.14 | (145) multiplication(one, all_20_1_18) = all_20_1_18
% 221.31/175.14 |
% 221.31/175.14 | From (131) and (89) follows:
% 221.31/175.14 | (63) multiplication(one, all_0_2_2) = all_0_2_2
% 221.31/175.14 |
% 221.31/175.14 | From (141) and (90) follows:
% 221.31/175.14 | (147) multiplication(one, one) = one
% 221.31/175.14 |
% 221.31/175.14 | From (134) and (105) follows:
% 221.31/175.14 | (148) multiplication(one, zero) = zero
% 221.31/175.14 |
% 221.31/175.14 | From (135) and (111) follows:
% 221.31/175.14 | (149) addition(all_26_0_19, one) = all_26_0_19
% 221.31/175.14 |
% 221.31/175.14 | From (140)(134) and (106) follows:
% 221.31/175.14 | (150) addition(all_20_0_17, zero) = all_20_0_17
% 221.31/175.14 |
% 221.31/175.14 | From (138)(128) and (98) follows:
% 221.31/175.14 | (54) addition(all_20_1_18, all_20_0_17) = all_0_2_2
% 221.31/175.14 |
% 221.31/175.14 | From (135) and (112) follows:
% 221.31/175.14 | (61) addition(all_0_1_1, all_0_2_2) = all_26_0_19
% 221.31/175.14 |
% 221.31/175.14 | From (136) and (108) follows:
% 221.31/175.14 | (64) addition(all_0_2_2, one) = all_0_2_2
% 221.31/175.14 |
% 221.31/175.14 | From (129) and (121) follows:
% 221.31/175.14 | (154) addition(one, all_20_1_18) = all_20_1_18
% 221.31/175.14 |
% 221.31/175.14 | From (136) and (109) follows:
% 221.31/175.14 | (155) addition(one, one) = one
% 221.31/175.14 |
% 221.31/175.14 | Instantiating formula (13) with all_49_0_35, all_20_0_17, zero, zero, all_0_2_2 and discharging atoms multiplication(all_20_0_17, zero) = all_49_0_35, multiplication(all_0_2_2, zero) = all_20_0_17, yields:
% 221.31/175.14 | (156) ? [v0] : (multiplication(all_0_2_2, v0) = all_49_0_35 & multiplication(zero, zero) = v0)
% 221.31/175.14 |
% 221.31/175.14 | Instantiating formula (23) with all_0_2_2, all_20_1_18, one, all_20_0_17, all_20_1_18 and discharging atoms multiplication(all_20_1_18, one) = all_20_1_18, addition(all_20_1_18, all_20_0_17) = all_0_2_2, yields:
% 221.31/175.14 | (157) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(all_20_1_18) = v0 & leq(one, v1) = 0 & multiplication(v0, all_20_0_17) = v1) | ( ~ (v0 = 0) & leq(one, all_0_2_2) = v0))
% 221.31/175.14 |
% 221.31/175.14 | Instantiating formula (13) with all_49_0_35, all_20_0_17, zero, all_20_0_17, one and discharging atoms multiplication(all_20_0_17, zero) = all_49_0_35, multiplication(one, all_20_0_17) = all_20_0_17, yields:
% 221.31/175.14 | (158) ? [v0] : (multiplication(all_20_0_17, zero) = v0 & multiplication(one, v0) = all_49_0_35)
% 221.31/175.14 |
% 221.31/175.14 | Instantiating formula (13) with all_49_1_36, all_20_1_18, zero, all_20_1_18, one and discharging atoms multiplication(all_20_1_18, zero) = all_49_1_36, multiplication(one, all_20_1_18) = all_20_1_18, yields:
% 221.31/175.14 | (159) ? [v0] : (multiplication(all_20_1_18, zero) = v0 & multiplication(one, v0) = all_49_1_36)
% 221.31/175.14 |
% 221.31/175.14 | Instantiating formula (23) with all_0_2_2, all_20_1_18, all_20_1_18, all_20_0_17, one and discharging atoms multiplication(one, all_20_1_18) = all_20_1_18, addition(all_20_1_18, all_20_0_17) = all_0_2_2, yields:
% 221.31/175.14 | (160) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(one) = v0 & leq(all_20_1_18, v1) = 0 & multiplication(v0, all_20_0_17) = v1) | ( ~ (v0 = 0) & leq(all_20_1_18, all_0_2_2) = v0))
% 221.31/175.15 |
% 221.31/175.15 | Instantiating formula (26) with all_20_0_17, zero, zero, one, all_0_2_2 and discharging atoms multiplication(all_0_2_2, zero) = all_20_0_17, multiplication(one, zero) = zero, yields:
% 221.31/175.15 | (161) ? [v0] : (multiplication(v0, zero) = all_20_0_17 & multiplication(all_0_2_2, one) = v0)
% 221.31/175.15 |
% 221.31/175.15 | Instantiating formula (26) with all_49_0_35, zero, zero, one, all_20_0_17 and discharging atoms multiplication(all_20_0_17, zero) = all_49_0_35, multiplication(one, zero) = zero, yields:
% 221.31/175.15 | (162) ? [v0] : (multiplication(v0, zero) = all_49_0_35 & multiplication(all_20_0_17, one) = v0)
% 221.31/175.15 |
% 221.31/175.15 | Instantiating formula (22) with all_49_0_35, all_20_0_17, zero, all_49_0_35, all_49_1_36 and discharging atoms multiplication(all_20_0_17, zero) = all_49_0_35, addition(all_49_1_36, all_49_0_35) = all_20_0_17, yields:
% 221.31/175.15 | (163) ? [v0] : ? [v1] : (multiplication(all_49_0_35, zero) = v1 & multiplication(all_49_1_36, zero) = v0 & addition(v0, v1) = all_49_0_35)
% 221.31/175.15 |
% 221.31/175.15 | Instantiating formula (23) with all_20_0_17, all_49_1_36, zero, all_49_0_35, all_20_1_18 and discharging atoms multiplication(all_20_1_18, zero) = all_49_1_36, addition(all_49_1_36, all_49_0_35) = all_20_0_17, yields:
% 221.31/175.15 | (164) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(all_20_1_18) = v0 & leq(zero, v1) = 0 & multiplication(v0, all_49_0_35) = v1) | ( ~ (v0 = 0) & leq(zero, all_20_0_17) = v0))
% 221.31/175.15 |
% 221.31/175.15 | Instantiating formula (12) with all_20_0_17, all_20_0_17, all_49_0_35, all_49_1_36, one and discharging atoms multiplication(one, all_20_0_17) = all_20_0_17, addition(all_49_1_36, all_49_0_35) = all_20_0_17, yields:
% 221.31/175.15 | (165) ? [v0] : ? [v1] : (multiplication(one, all_49_0_35) = v1 & multiplication(one, all_49_1_36) = v0 & addition(v0, v1) = all_20_0_17)
% 221.31/175.15 |
% 221.31/175.15 | Instantiating formula (14) with all_0_2_2, all_20_0_17, all_20_1_18, all_49_1_36, all_49_0_35 and discharging atoms addition(all_49_1_36, all_49_0_35) = all_20_0_17, addition(all_20_1_18, all_20_0_17) = all_0_2_2, yields:
% 221.31/175.15 | (166) ? [v0] : (addition(v0, all_49_0_35) = all_0_2_2 & addition(all_20_1_18, all_49_1_36) = v0)
% 221.31/175.15 |
% 221.31/175.15 | Instantiating formula (14) with all_26_0_19, all_20_0_17, all_44_0_29, all_49_1_36, all_49_0_35 and discharging atoms addition(all_49_1_36, all_49_0_35) = all_20_0_17, addition(all_44_0_29, all_20_0_17) = all_26_0_19, yields:
% 221.31/175.15 | (167) ? [v0] : (addition(v0, all_49_0_35) = all_26_0_19 & addition(all_44_0_29, all_49_1_36) = v0)
% 221.31/175.15 |
% 221.31/175.15 | Instantiating formula (9) with all_26_0_19, all_26_0_19, all_44_0_29, all_20_0_17, one and discharging atoms addition(all_44_0_29, all_20_0_17) = all_26_0_19, addition(all_26_0_19, one) = all_26_0_19, yields:
% 221.31/175.15 | (168) ? [v0] : (addition(all_44_0_29, v0) = all_26_0_19 & addition(all_20_0_17, one) = v0)
% 221.31/175.15 |
% 221.31/175.15 | Instantiating formula (18) with all_0_2_2, all_20_0_17, all_0_2_2, all_20_1_18, zero and discharging atoms multiplication(all_0_2_2, zero) = all_20_0_17, addition(all_20_0_17, all_20_1_18) = all_0_2_2, yields:
% 221.31/175.15 | (169) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, all_0_2_2) = 0 & star(zero) = v0 & multiplication(all_20_1_18, v0) = v1) | ( ~ (v0 = 0) & leq(all_0_2_2, all_0_2_2) = v0))
% 221.31/175.15 |
% 221.31/175.15 | Instantiating formula (22) with all_20_0_17, all_0_2_2, zero, all_20_1_18, all_20_0_17 and discharging atoms multiplication(all_0_2_2, zero) = all_20_0_17, addition(all_20_0_17, all_20_1_18) = all_0_2_2, yields:
% 221.31/175.15 | (170) ? [v0] : ? [v1] : (multiplication(all_20_0_17, zero) = v0 & multiplication(all_20_1_18, zero) = v1 & addition(v0, v1) = all_20_0_17)
% 221.31/175.15 |
% 221.31/175.15 | Instantiating formula (23) with all_0_2_2, all_20_0_17, all_20_0_17, all_20_1_18, one and discharging atoms multiplication(one, all_20_0_17) = all_20_0_17, addition(all_20_0_17, all_20_1_18) = all_0_2_2, yields:
% 221.31/175.15 | (171) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(one) = v0 & leq(all_20_0_17, v1) = 0 & multiplication(v0, all_20_1_18) = v1) | ( ~ (v0 = 0) & leq(all_20_0_17, all_0_2_2) = v0))
% 221.31/175.15 |
% 221.31/175.15 | Instantiating formula (40) with all_0_2_2, all_20_0_17, all_20_0_17, all_20_1_18, one and discharging atoms multiplication(one, all_20_0_17) = all_20_0_17, addition(all_20_0_17, all_20_1_18) = all_0_2_2, yields:
% 221.31/175.15 | (172) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, all_20_0_17) = 0 & star(one) = v0 & multiplication(v0, all_20_1_18) = v1) | ( ~ (v0 = 0) & leq(all_0_2_2, all_20_0_17) = v0))
% 221.31/175.15 |
% 221.31/175.15 | Instantiating formula (14) with all_26_0_19, all_0_2_2, all_0_1_1, all_20_0_17, all_20_1_18 and discharging atoms addition(all_20_0_17, all_20_1_18) = all_0_2_2, addition(all_0_1_1, all_0_2_2) = all_26_0_19, yields:
% 221.31/175.15 | (173) ? [v0] : (addition(v0, all_20_1_18) = all_26_0_19 & addition(all_0_1_1, all_20_0_17) = v0)
% 221.31/175.15 |
% 221.31/175.15 | Instantiating formula (9) with all_0_2_2, all_0_2_2, all_20_0_17, all_20_1_18, one and discharging atoms addition(all_20_0_17, all_20_1_18) = all_0_2_2, addition(all_0_2_2, one) = all_0_2_2, yields:
% 221.31/175.15 | (174) ? [v0] : (addition(all_20_0_17, v0) = all_0_2_2 & addition(all_20_1_18, one) = v0)
% 221.31/175.15 |
% 221.31/175.15 | Instantiating formula (9) with all_0_2_2, all_20_0_17, all_49_1_36, all_49_0_35, all_20_1_18 and discharging atoms addition(all_49_1_36, all_49_0_35) = all_20_0_17, addition(all_20_0_17, all_20_1_18) = all_0_2_2, yields:
% 221.31/175.15 | (175) ? [v0] : (addition(all_49_0_35, all_20_1_18) = v0 & addition(all_49_1_36, v0) = all_0_2_2)
% 221.31/175.15 |
% 221.31/175.15 | Instantiating formula (18) with all_38_0_20, all_20_0_17, all_0_2_2, one, zero and discharging atoms multiplication(all_0_2_2, zero) = all_20_0_17, addition(all_20_0_17, one) = all_38_0_20, yields:
% 221.31/175.15 | (176) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, all_0_2_2) = 0 & star(zero) = v0 & multiplication(one, v0) = v1) | ( ~ (v0 = 0) & leq(all_38_0_20, all_0_2_2) = v0))
% 221.31/175.15 |
% 221.31/175.15 | Instantiating formula (23) with all_38_0_20, all_20_0_17, all_20_0_17, one, one and discharging atoms multiplication(one, all_20_0_17) = all_20_0_17, addition(all_20_0_17, one) = all_38_0_20, yields:
% 221.31/175.15 | (177) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(one) = v0 & leq(all_20_0_17, v1) = 0 & multiplication(v0, one) = v1) | ( ~ (v0 = 0) & leq(all_20_0_17, all_38_0_20) = v0))
% 221.31/175.15 |
% 221.31/175.15 | Instantiating formula (40) with all_38_0_20, all_20_0_17, all_20_0_17, one, one and discharging atoms multiplication(one, all_20_0_17) = all_20_0_17, addition(all_20_0_17, one) = all_38_0_20, yields:
% 221.31/175.15 | (178) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, all_20_0_17) = 0 & star(one) = v0 & multiplication(v0, one) = v1) | ( ~ (v0 = 0) & leq(all_38_0_20, all_20_0_17) = v0))
% 221.31/175.15 |
% 221.31/175.15 | Instantiating formula (33) with all_38_0_20, one, all_20_0_17, one, all_20_0_17, one and discharging atoms multiplication(one, all_20_0_17) = all_20_0_17, multiplication(one, one) = one, addition(all_20_0_17, one) = all_38_0_20, yields:
% 221.31/175.15 | (179) ? [v0] : (multiplication(one, v0) = all_38_0_20 & addition(all_20_0_17, one) = v0)
% 221.31/175.15 |
% 221.31/175.15 | Instantiating formula (9) with all_38_0_20, all_20_0_17, all_49_1_36, all_49_0_35, one and discharging atoms addition(all_49_1_36, all_49_0_35) = all_20_0_17, addition(all_20_0_17, one) = all_38_0_20, yields:
% 221.31/175.16 | (180) ? [v0] : (addition(all_49_0_35, one) = v0 & addition(all_49_1_36, v0) = all_38_0_20)
% 221.31/175.16 |
% 221.31/175.16 | Instantiating formula (38) with all_38_0_20, all_20_0_17, one and discharging atoms addition(all_20_0_17, one) = all_38_0_20, yields:
% 221.31/175.16 | (181) addition(one, all_20_0_17) = all_38_0_20
% 221.31/175.16 |
% 221.31/175.16 | Instantiating formula (18) with all_20_0_17, all_20_0_17, all_0_2_2, zero, zero and discharging atoms multiplication(all_0_2_2, zero) = all_20_0_17, addition(all_20_0_17, zero) = all_20_0_17, yields:
% 221.31/175.16 | (182) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, all_0_2_2) = 0 & star(zero) = v0 & multiplication(zero, v0) = v1) | ( ~ (v0 = 0) & leq(all_20_0_17, all_0_2_2) = v0))
% 221.31/175.16 |
% 221.31/175.16 | Instantiating formula (22) with all_49_0_35, all_20_0_17, zero, zero, all_20_0_17 and discharging atoms multiplication(all_20_0_17, zero) = all_49_0_35, addition(all_20_0_17, zero) = all_20_0_17, yields:
% 221.31/175.16 | (183) ? [v0] : ? [v1] : (multiplication(all_20_0_17, zero) = v0 & multiplication(zero, zero) = v1 & addition(v0, v1) = all_49_0_35)
% 221.31/175.16 |
% 221.31/175.16 | Instantiating formula (23) with all_20_0_17, all_20_0_17, all_20_0_17, zero, one and discharging atoms multiplication(one, all_20_0_17) = all_20_0_17, addition(all_20_0_17, zero) = all_20_0_17, yields:
% 221.31/175.16 | (184) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(one) = v0 & leq(all_20_0_17, v1) = 0 & multiplication(v0, zero) = v1) | ( ~ (v0 = 0) & leq(all_20_0_17, all_20_0_17) = v0))
% 221.31/175.16 |
% 221.31/175.16 | Instantiating formula (40) with all_20_0_17, all_20_0_17, all_20_0_17, zero, one and discharging atoms multiplication(one, all_20_0_17) = all_20_0_17, addition(all_20_0_17, zero) = all_20_0_17, yields:
% 221.31/175.16 | (185) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, all_20_0_17) = 0 & star(one) = v0 & multiplication(v0, zero) = v1) | ( ~ (v0 = 0) & leq(all_20_0_17, all_20_0_17) = v0))
% 221.31/175.16 |
% 221.31/175.16 | Instantiating formula (14) with all_0_2_2, all_20_0_17, all_20_1_18, all_20_0_17, zero and discharging atoms addition(all_20_0_17, zero) = all_20_0_17, addition(all_20_1_18, all_20_0_17) = all_0_2_2, yields:
% 221.31/175.16 | (186) ? [v0] : (addition(v0, zero) = all_0_2_2 & addition(all_20_1_18, all_20_0_17) = v0)
% 221.31/175.16 |
% 221.31/175.16 | Instantiating formula (9) with all_20_0_17, all_20_0_17, all_49_1_36, all_49_0_35, zero and discharging atoms addition(all_49_1_36, all_49_0_35) = all_20_0_17, addition(all_20_0_17, zero) = all_20_0_17, yields:
% 221.31/175.16 | (187) ? [v0] : (addition(all_49_0_35, zero) = v0 & addition(all_49_1_36, v0) = all_20_0_17)
% 221.31/175.16 |
% 221.31/175.16 | Instantiating formula (14) with all_26_0_19, all_20_0_17, all_44_0_29, all_20_0_17, zero and discharging atoms addition(all_44_0_29, all_20_0_17) = all_26_0_19, addition(all_20_0_17, zero) = all_20_0_17, yields:
% 221.31/175.16 | (188) ? [v0] : (addition(v0, zero) = all_26_0_19 & addition(all_44_0_29, all_20_0_17) = v0)
% 221.31/175.16 |
% 221.31/175.16 | Instantiating formula (9) with all_0_2_2, all_20_0_17, all_20_0_17, zero, all_20_1_18 and discharging atoms addition(all_20_0_17, all_20_1_18) = all_0_2_2, addition(all_20_0_17, zero) = all_20_0_17, yields:
% 221.31/175.16 | (189) ? [v0] : (addition(all_20_0_17, v0) = all_0_2_2 & addition(zero, all_20_1_18) = v0)
% 221.31/175.16 |
% 221.31/175.16 | Instantiating formula (9) with all_38_0_20, all_20_0_17, all_20_0_17, zero, one and discharging atoms addition(all_20_0_17, one) = all_38_0_20, addition(all_20_0_17, zero) = all_20_0_17, yields:
% 221.31/175.16 | (190) ? [v0] : (addition(all_20_0_17, v0) = all_38_0_20 & addition(zero, one) = v0)
% 221.31/175.16 |
% 221.31/175.16 | Instantiating formula (9) with all_20_0_17, all_20_0_17, all_20_0_17, zero, zero and discharging atoms addition(all_20_0_17, zero) = all_20_0_17, yields:
% 221.31/175.16 | (191) ? [v0] : (addition(all_20_0_17, v0) = all_20_0_17 & addition(zero, zero) = v0)
% 221.31/175.16 |
% 221.31/175.16 | Instantiating formula (22) with all_20_0_17, all_0_2_2, zero, all_38_0_20, all_20_1_18 and discharging atoms multiplication(all_0_2_2, zero) = all_20_0_17, addition(all_20_1_18, all_38_0_20) = all_0_2_2, yields:
% 221.31/175.16 | (192) ? [v0] : ? [v1] : (multiplication(all_38_0_20, zero) = v1 & multiplication(all_20_1_18, zero) = v0 & addition(v0, v1) = all_20_0_17)
% 221.31/175.16 |
% 221.31/175.16 | Instantiating formula (12) with all_0_2_2, all_0_2_2, all_38_0_20, all_20_1_18, one and discharging atoms multiplication(one, all_0_2_2) = all_0_2_2, addition(all_20_1_18, all_38_0_20) = all_0_2_2, yields:
% 221.31/175.16 | (193) ? [v0] : ? [v1] : (multiplication(one, all_38_0_20) = v1 & multiplication(one, all_20_1_18) = v0 & addition(v0, v1) = all_0_2_2)
% 221.31/175.16 |
% 221.31/175.16 | Instantiating formula (23) with all_0_2_2, all_20_1_18, one, all_38_0_20, all_20_1_18 and discharging atoms multiplication(all_20_1_18, one) = all_20_1_18, addition(all_20_1_18, all_38_0_20) = all_0_2_2, yields:
% 221.31/175.16 | (194) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(all_20_1_18) = v0 & leq(one, v1) = 0 & multiplication(v0, all_38_0_20) = v1) | ( ~ (v0 = 0) & leq(one, all_0_2_2) = v0))
% 221.31/175.16 |
% 221.31/175.16 | Instantiating formula (23) with all_0_2_2, all_20_1_18, all_20_1_18, all_38_0_20, one and discharging atoms multiplication(one, all_20_1_18) = all_20_1_18, addition(all_20_1_18, all_38_0_20) = all_0_2_2, yields:
% 221.31/175.16 | (195) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(one) = v0 & leq(all_20_1_18, v1) = 0 & multiplication(v0, all_38_0_20) = v1) | ( ~ (v0 = 0) & leq(all_20_1_18, all_0_2_2) = v0))
% 221.31/175.16 |
% 221.31/175.16 | Instantiating formula (14) with all_26_0_19, all_0_2_2, all_0_1_1, all_20_1_18, all_38_0_20 and discharging atoms addition(all_20_1_18, all_38_0_20) = all_0_2_2, addition(all_0_1_1, all_0_2_2) = all_26_0_19, yields:
% 221.31/175.16 | (196) ? [v0] : (addition(v0, all_38_0_20) = all_26_0_19 & addition(all_0_1_1, all_20_1_18) = v0)
% 221.31/175.16 |
% 221.31/175.16 | Instantiating formula (9) with all_0_2_2, all_0_2_2, all_20_1_18, all_38_0_20, one and discharging atoms addition(all_20_1_18, all_38_0_20) = all_0_2_2, addition(all_0_2_2, one) = all_0_2_2, yields:
% 221.31/175.17 | (197) ? [v0] : (addition(all_38_0_20, one) = v0 & addition(all_20_1_18, v0) = all_0_2_2)
% 221.31/175.17 |
% 221.31/175.17 | Instantiating formula (38) with all_44_0_29, all_0_1_1, all_20_1_18 and discharging atoms addition(all_0_1_1, all_20_1_18) = all_44_0_29, yields:
% 221.31/175.17 | (198) addition(all_20_1_18, all_0_1_1) = all_44_0_29
% 221.31/175.17 |
% 221.31/175.17 | Instantiating formula (23) with all_26_0_19, all_0_2_2, all_0_2_2, all_0_1_1, one and discharging atoms multiplication(one, all_0_2_2) = all_0_2_2, addition(all_0_2_2, all_0_1_1) = all_26_0_19, yields:
% 221.31/175.17 | (199) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(one) = v0 & leq(all_0_2_2, v1) = 0 & multiplication(v0, all_0_1_1) = v1) | ( ~ (v0 = 0) & leq(all_0_2_2, all_26_0_19) = v0))
% 221.31/175.17 |
% 221.31/175.17 | Instantiating formula (9) with all_26_0_19, all_0_2_2, all_20_1_18, all_20_0_17, all_0_1_1 and discharging atoms addition(all_20_1_18, all_20_0_17) = all_0_2_2, addition(all_0_2_2, all_0_1_1) = all_26_0_19, yields:
% 221.31/175.17 | (200) ? [v0] : (addition(all_20_0_17, all_0_1_1) = v0 & addition(all_20_1_18, v0) = all_26_0_19)
% 221.31/175.17 |
% 221.31/175.17 | Instantiating formula (9) with all_26_0_19, all_0_2_2, all_0_2_2, one, all_0_1_1 and discharging atoms addition(all_0_2_2, all_0_1_1) = all_26_0_19, addition(all_0_2_2, one) = all_0_2_2, yields:
% 221.31/175.17 | (201) ? [v0] : (addition(all_0_2_2, v0) = all_26_0_19 & addition(one, all_0_1_1) = v0)
% 221.31/175.17 |
% 221.31/175.17 | Instantiating formula (9) with all_26_0_19, all_26_0_19, all_0_2_2, all_0_1_1, one and discharging atoms addition(all_26_0_19, one) = all_26_0_19, addition(all_0_2_2, all_0_1_1) = all_26_0_19, yields:
% 221.31/175.17 | (202) ? [v0] : (addition(all_0_1_1, one) = v0 & addition(all_0_2_2, v0) = all_26_0_19)
% 221.31/175.17 |
% 221.31/175.17 | Instantiating formula (9) with all_26_0_19, all_0_2_2, all_20_0_17, all_20_1_18, all_0_1_1 and discharging atoms addition(all_20_0_17, all_20_1_18) = all_0_2_2, addition(all_0_2_2, all_0_1_1) = all_26_0_19, yields:
% 221.31/175.17 | (203) ? [v0] : (addition(all_20_0_17, v0) = all_26_0_19 & addition(all_20_1_18, all_0_1_1) = v0)
% 221.31/175.17 |
% 221.31/175.17 | Instantiating formula (9) with all_26_0_19, all_0_2_2, all_20_1_18, all_38_0_20, all_0_1_1 and discharging atoms addition(all_20_1_18, all_38_0_20) = all_0_2_2, addition(all_0_2_2, all_0_1_1) = all_26_0_19, yields:
% 221.31/175.17 | (204) ? [v0] : (addition(all_38_0_20, all_0_1_1) = v0 & addition(all_20_1_18, v0) = all_26_0_19)
% 221.31/175.17 |
% 221.31/175.17 | Instantiating formula (21) with all_26_0_19, all_0_1_1, all_0_2_2 and discharging atoms addition(all_0_2_2, all_0_1_1) = all_26_0_19, yields:
% 221.31/175.17 | (205) all_26_0_19 = all_0_1_1 | ? [v0] : ( ~ (v0 = 0) & leq(all_0_2_2, all_0_1_1) = v0)
% 221.31/175.17 |
% 221.31/175.17 | Instantiating formula (22) with all_49_1_36, all_20_1_18, zero, all_20_1_18, one and discharging atoms multiplication(all_20_1_18, zero) = all_49_1_36, addition(one, all_20_1_18) = all_20_1_18, yields:
% 221.31/175.17 | (206) ? [v0] : ? [v1] : (multiplication(all_20_1_18, zero) = v1 & multiplication(one, zero) = v0 & addition(v0, v1) = all_49_1_36)
% 221.31/175.17 |
% 221.31/175.17 | Instantiating formula (18) with all_20_1_18, one, one, all_20_1_18, one and discharging atoms multiplication(one, one) = one, addition(one, all_20_1_18) = all_20_1_18, yields:
% 221.31/175.17 | (207) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, one) = 0 & star(one) = v0 & multiplication(all_20_1_18, v0) = v1) | ( ~ (v0 = 0) & leq(all_20_1_18, one) = v0))
% 221.31/175.17 |
% 221.31/175.17 | Instantiating formula (23) with all_20_1_18, one, one, all_20_1_18, one and discharging atoms multiplication(one, one) = one, addition(one, all_20_1_18) = all_20_1_18, yields:
% 221.31/175.17 | (208) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(one) = v0 & leq(one, v1) = 0 & multiplication(v0, all_20_1_18) = v1) | ( ~ (v0 = 0) & leq(one, all_20_1_18) = v0))
% 221.31/175.17 |
% 221.31/175.17 | Instantiating formula (40) with all_20_1_18, one, one, all_20_1_18, one and discharging atoms multiplication(one, one) = one, addition(one, all_20_1_18) = all_20_1_18, yields:
% 221.31/175.17 | (209) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, one) = 0 & star(one) = v0 & multiplication(v0, all_20_1_18) = v1) | ( ~ (v0 = 0) & leq(all_20_1_18, one) = v0))
% 221.31/175.17 |
% 221.31/175.17 | Instantiating formula (14) with all_0_2_2, all_20_1_18, all_20_0_17, one, all_20_1_18 and discharging atoms addition(all_20_0_17, all_20_1_18) = all_0_2_2, addition(one, all_20_1_18) = all_20_1_18, yields:
% 221.31/175.17 | (210) ? [v0] : (addition(v0, all_20_1_18) = all_0_2_2 & addition(all_20_0_17, one) = v0)
% 221.31/175.17 |
% 221.31/175.17 | Instantiating formula (14) with all_44_0_29, all_20_1_18, all_0_1_1, one, all_20_1_18 and discharging atoms addition(all_0_1_1, all_20_1_18) = all_44_0_29, addition(one, all_20_1_18) = all_20_1_18, yields:
% 221.31/175.17 | (211) ? [v0] : (addition(v0, all_20_1_18) = all_44_0_29 & addition(all_0_1_1, one) = v0)
% 221.31/175.17 |
% 221.31/175.17 | Instantiating formula (16) with all_20_1_18, one and discharging atoms addition(one, all_20_1_18) = all_20_1_18, yields:
% 221.31/175.17 | (212) leq(one, all_20_1_18) = 0
% 221.31/175.17 |
% 221.31/175.17 | Instantiating formula (38) with all_20_1_18, one, all_20_1_18 and discharging atoms addition(one, all_20_1_18) = all_20_1_18, yields:
% 221.31/175.17 | (213) addition(all_20_1_18, one) = all_20_1_18
% 221.31/175.17 |
% 221.31/175.17 | Instantiating formula (22) with all_20_0_17, all_0_2_2, zero, all_0_2_2, one and discharging atoms multiplication(all_0_2_2, zero) = all_20_0_17, addition(one, all_0_2_2) = all_0_2_2, yields:
% 221.31/175.17 | (214) ? [v0] : ? [v1] : (multiplication(all_0_2_2, zero) = v1 & multiplication(one, zero) = v0 & addition(v0, v1) = all_20_0_17)
% 221.31/175.17 |
% 221.31/175.17 | Instantiating formula (23) with all_0_2_2, one, one, all_0_2_2, one and discharging atoms multiplication(one, one) = one, addition(one, all_0_2_2) = all_0_2_2, yields:
% 221.31/175.17 | (215) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(one) = v0 & leq(one, v1) = 0 & multiplication(v0, all_0_2_2) = v1) | ( ~ (v0 = 0) & leq(one, all_0_2_2) = v0))
% 221.31/175.17 |
% 221.31/175.17 | Instantiating formula (14) with all_26_0_19, all_0_2_2, all_0_1_1, one, all_0_2_2 and discharging atoms addition(all_0_1_1, all_0_2_2) = all_26_0_19, addition(one, all_0_2_2) = all_0_2_2, yields:
% 221.31/175.17 | (216) ? [v0] : (addition(v0, all_0_2_2) = all_26_0_19 & addition(all_0_1_1, one) = v0)
% 221.31/175.17 |
% 221.31/175.17 | Instantiating formula (14) with all_0_2_2, all_0_2_2, one, all_20_0_17, all_20_1_18 and discharging atoms addition(all_20_0_17, all_20_1_18) = all_0_2_2, addition(one, all_0_2_2) = all_0_2_2, yields:
% 221.31/175.17 | (217) ? [v0] : (addition(v0, all_20_1_18) = all_0_2_2 & addition(one, all_20_0_17) = v0)
% 221.31/175.17 |
% 221.31/175.17 | Instantiating formula (9) with all_26_0_19, all_0_2_2, one, all_0_2_2, all_0_1_1 and discharging atoms addition(all_0_2_2, all_0_1_1) = all_26_0_19, addition(one, all_0_2_2) = all_0_2_2, yields:
% 221.31/175.17 | (218) ? [v0] : (addition(all_0_2_2, all_0_1_1) = v0 & addition(one, v0) = all_26_0_19)
% 221.31/175.17 |
% 221.31/175.17 | Instantiating formula (16) with all_0_2_2, one and discharging atoms addition(one, all_0_2_2) = all_0_2_2, yields:
% 221.76/175.17 | (219) leq(one, all_0_2_2) = 0
% 221.76/175.17 |
% 221.76/175.17 | Instantiating formula (22) with all_0_2_2, one, all_0_2_2, one, one and discharging atoms multiplication(one, all_0_2_2) = all_0_2_2, addition(one, one) = one, yields:
% 221.76/175.17 | (220) ? [v0] : ? [v1] : (multiplication(one, all_0_2_2) = v1 & multiplication(one, all_0_2_2) = v0 & addition(v0, v1) = all_0_2_2)
% 221.76/175.18 |
% 221.76/175.18 | Instantiating formula (12) with all_20_1_18, one, one, one, all_20_1_18 and discharging atoms multiplication(all_20_1_18, one) = all_20_1_18, addition(one, one) = one, yields:
% 221.76/175.18 | (221) ? [v0] : ? [v1] : (multiplication(all_20_1_18, one) = v1 & multiplication(all_20_1_18, one) = v0 & addition(v0, v1) = all_20_1_18)
% 221.76/175.18 |
% 221.76/175.18 | Instantiating formula (22) with all_20_0_17, one, all_20_0_17, one, one and discharging atoms multiplication(one, all_20_0_17) = all_20_0_17, addition(one, one) = one, yields:
% 221.76/175.18 | (222) ? [v0] : ? [v1] : (multiplication(one, all_20_0_17) = v1 & multiplication(one, all_20_0_17) = v0 & addition(v0, v1) = all_20_0_17)
% 221.76/175.18 |
% 221.76/175.18 | Instantiating formula (22) with all_20_1_18, one, all_20_1_18, one, one and discharging atoms multiplication(one, all_20_1_18) = all_20_1_18, addition(one, one) = one, yields:
% 221.76/175.18 | (223) ? [v0] : ? [v1] : (multiplication(one, all_20_1_18) = v1 & multiplication(one, all_20_1_18) = v0 & addition(v0, v1) = all_20_1_18)
% 221.76/175.18 |
% 221.76/175.18 | Instantiating formula (18) with one, one, one, one, one and discharging atoms multiplication(one, one) = one, addition(one, one) = one, yields:
% 221.76/175.18 | (224) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, one) = 0 & star(one) = v0 & multiplication(one, v0) = v1) | ( ~ (v0 = 0) & leq(one, one) = v0))
% 221.76/175.18 |
% 221.76/175.18 | Instantiating formula (23) with one, one, one, one, one and discharging atoms multiplication(one, one) = one, addition(one, one) = one, yields:
% 221.76/175.18 | (225) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(one) = v0 & leq(one, v1) = 0 & multiplication(v0, one) = v1) | ( ~ (v0 = 0) & leq(one, one) = v0))
% 221.76/175.18 |
% 221.76/175.18 | Instantiating formula (40) with one, one, one, one, one and discharging atoms multiplication(one, one) = one, addition(one, one) = one, yields:
% 221.76/175.18 | (226) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, one) = 0 & star(one) = v0 & multiplication(v0, one) = v1) | ( ~ (v0 = 0) & leq(one, one) = v0))
% 221.76/175.18 |
% 221.76/175.18 | Instantiating formula (22) with zero, one, zero, one, one and discharging atoms multiplication(one, zero) = zero, addition(one, one) = one, yields:
% 221.76/175.18 | (227) ? [v0] : ? [v1] : (multiplication(one, zero) = v1 & multiplication(one, zero) = v0 & addition(v0, v1) = zero)
% 221.76/175.18 |
% 221.76/175.18 | Instantiating formula (14) with all_38_0_20, one, all_20_0_17, one, one and discharging atoms addition(all_20_0_17, one) = all_38_0_20, addition(one, one) = one, yields:
% 221.76/175.18 | (228) ? [v0] : (addition(v0, one) = all_38_0_20 & addition(all_20_0_17, one) = v0)
% 221.76/175.18 |
% 221.76/175.18 | Instantiating formula (16) with one, one and discharging atoms addition(one, one) = one, yields:
% 221.76/175.18 | (229) leq(one, one) = 0
% 221.76/175.18 |
% 221.76/175.18 | Instantiating (197) with all_75_0_45 yields:
% 221.76/175.18 | (230) addition(all_38_0_20, one) = all_75_0_45 & addition(all_20_1_18, all_75_0_45) = all_0_2_2
% 221.76/175.18 |
% 221.76/175.18 | Applying alpha-rule on (230) yields:
% 221.76/175.18 | (231) addition(all_38_0_20, one) = all_75_0_45
% 221.76/175.18 | (232) addition(all_20_1_18, all_75_0_45) = all_0_2_2
% 221.76/175.18 |
% 221.76/175.18 | Instantiating (196) with all_77_0_46 yields:
% 221.76/175.18 | (233) addition(all_77_0_46, all_38_0_20) = all_26_0_19 & addition(all_0_1_1, all_20_1_18) = all_77_0_46
% 221.76/175.18 |
% 221.76/175.18 | Applying alpha-rule on (233) yields:
% 221.76/175.18 | (234) addition(all_77_0_46, all_38_0_20) = all_26_0_19
% 221.76/175.18 | (235) addition(all_0_1_1, all_20_1_18) = all_77_0_46
% 221.76/175.18 |
% 221.76/175.18 | Instantiating (193) with all_80_0_50, all_80_1_51 yields:
% 221.76/175.18 | (236) multiplication(one, all_38_0_20) = all_80_0_50 & multiplication(one, all_20_1_18) = all_80_1_51 & addition(all_80_1_51, all_80_0_50) = all_0_2_2
% 221.76/175.18 |
% 221.76/175.18 | Applying alpha-rule on (236) yields:
% 221.76/175.18 | (237) multiplication(one, all_38_0_20) = all_80_0_50
% 221.76/175.18 | (238) multiplication(one, all_20_1_18) = all_80_1_51
% 221.76/175.18 | (239) addition(all_80_1_51, all_80_0_50) = all_0_2_2
% 221.76/175.18 |
% 221.76/175.18 | Instantiating (195) with all_82_0_52, all_82_1_53, all_82_2_54 yields:
% 221.76/175.18 | (240) (all_82_0_52 = 0 & strong_iteration(one) = all_82_2_54 & leq(all_20_1_18, all_82_1_53) = 0 & multiplication(all_82_2_54, all_38_0_20) = all_82_1_53) | ( ~ (all_82_2_54 = 0) & leq(all_20_1_18, all_0_2_2) = all_82_2_54)
% 221.76/175.18 |
% 221.76/175.18 | Instantiating (166) with all_85_0_61 yields:
% 221.76/175.18 | (241) addition(all_85_0_61, all_49_0_35) = all_0_2_2 & addition(all_20_1_18, all_49_1_36) = all_85_0_61
% 221.76/175.18 |
% 221.76/175.18 | Applying alpha-rule on (241) yields:
% 221.76/175.18 | (242) addition(all_85_0_61, all_49_0_35) = all_0_2_2
% 221.76/175.18 | (243) addition(all_20_1_18, all_49_1_36) = all_85_0_61
% 221.76/175.18 |
% 221.76/175.18 | Instantiating (160) with all_87_0_62, all_87_1_63, all_87_2_64 yields:
% 221.76/175.18 | (244) (all_87_0_62 = 0 & strong_iteration(one) = all_87_2_64 & leq(all_20_1_18, all_87_1_63) = 0 & multiplication(all_87_2_64, all_20_0_17) = all_87_1_63) | ( ~ (all_87_2_64 = 0) & leq(all_20_1_18, all_0_2_2) = all_87_2_64)
% 221.76/175.18 |
% 221.76/175.18 | Instantiating (228) with all_89_0_68 yields:
% 221.76/175.18 | (245) addition(all_89_0_68, one) = all_38_0_20 & addition(all_20_0_17, one) = all_89_0_68
% 221.76/175.18 |
% 221.76/175.18 | Applying alpha-rule on (245) yields:
% 221.76/175.18 | (246) addition(all_89_0_68, one) = all_38_0_20
% 221.76/175.18 | (247) addition(all_20_0_17, one) = all_89_0_68
% 221.76/175.18 |
% 221.76/175.18 | Instantiating (223) with all_91_0_69, all_91_1_70 yields:
% 221.76/175.18 | (248) multiplication(one, all_20_1_18) = all_91_0_69 & multiplication(one, all_20_1_18) = all_91_1_70 & addition(all_91_1_70, all_91_0_69) = all_20_1_18
% 221.76/175.18 |
% 221.76/175.18 | Applying alpha-rule on (248) yields:
% 221.76/175.18 | (249) multiplication(one, all_20_1_18) = all_91_0_69
% 221.76/175.18 | (250) multiplication(one, all_20_1_18) = all_91_1_70
% 221.76/175.18 | (251) addition(all_91_1_70, all_91_0_69) = all_20_1_18
% 221.76/175.18 |
% 221.76/175.18 | Instantiating (222) with all_93_0_71, all_93_1_72 yields:
% 221.76/175.18 | (252) multiplication(one, all_20_0_17) = all_93_0_71 & multiplication(one, all_20_0_17) = all_93_1_72 & addition(all_93_1_72, all_93_0_71) = all_20_0_17
% 221.76/175.18 |
% 221.76/175.18 | Applying alpha-rule on (252) yields:
% 221.76/175.18 | (253) multiplication(one, all_20_0_17) = all_93_0_71
% 221.76/175.18 | (254) multiplication(one, all_20_0_17) = all_93_1_72
% 221.76/175.18 | (255) addition(all_93_1_72, all_93_0_71) = all_20_0_17
% 221.76/175.18 |
% 221.76/175.18 | Instantiating (221) with all_95_0_73, all_95_1_74 yields:
% 221.76/175.18 | (256) multiplication(all_20_1_18, one) = all_95_0_73 & multiplication(all_20_1_18, one) = all_95_1_74 & addition(all_95_1_74, all_95_0_73) = all_20_1_18
% 221.76/175.18 |
% 221.76/175.18 | Applying alpha-rule on (256) yields:
% 221.76/175.18 | (257) multiplication(all_20_1_18, one) = all_95_0_73
% 221.76/175.18 | (258) multiplication(all_20_1_18, one) = all_95_1_74
% 221.76/175.18 | (259) addition(all_95_1_74, all_95_0_73) = all_20_1_18
% 221.76/175.18 |
% 221.76/175.18 | Instantiating (220) with all_97_0_75, all_97_1_76 yields:
% 221.76/175.18 | (260) multiplication(one, all_0_2_2) = all_97_0_75 & multiplication(one, all_0_2_2) = all_97_1_76 & addition(all_97_1_76, all_97_0_75) = all_0_2_2
% 221.76/175.18 |
% 221.76/175.18 | Applying alpha-rule on (260) yields:
% 221.76/175.18 | (261) multiplication(one, all_0_2_2) = all_97_0_75
% 221.76/175.18 | (262) multiplication(one, all_0_2_2) = all_97_1_76
% 221.76/175.18 | (263) addition(all_97_1_76, all_97_0_75) = all_0_2_2
% 221.76/175.18 |
% 221.76/175.18 | Instantiating (218) with all_99_0_77 yields:
% 221.76/175.18 | (264) addition(all_0_2_2, all_0_1_1) = all_99_0_77 & addition(one, all_99_0_77) = all_26_0_19
% 221.76/175.18 |
% 221.76/175.18 | Applying alpha-rule on (264) yields:
% 221.76/175.18 | (265) addition(all_0_2_2, all_0_1_1) = all_99_0_77
% 221.76/175.18 | (266) addition(one, all_99_0_77) = all_26_0_19
% 221.76/175.18 |
% 221.76/175.18 | Instantiating (175) with all_103_0_84 yields:
% 221.76/175.18 | (267) addition(all_49_0_35, all_20_1_18) = all_103_0_84 & addition(all_49_1_36, all_103_0_84) = all_0_2_2
% 221.76/175.18 |
% 221.76/175.18 | Applying alpha-rule on (267) yields:
% 221.76/175.18 | (268) addition(all_49_0_35, all_20_1_18) = all_103_0_84
% 221.76/175.18 | (269) addition(all_49_1_36, all_103_0_84) = all_0_2_2
% 221.76/175.18 |
% 221.76/175.18 | Instantiating (176) with all_108_0_94, all_108_1_95, all_108_2_96 yields:
% 221.76/175.18 | (270) (all_108_0_94 = 0 & leq(all_108_1_95, all_0_2_2) = 0 & star(zero) = all_108_2_96 & multiplication(one, all_108_2_96) = all_108_1_95) | ( ~ (all_108_2_96 = 0) & leq(all_38_0_20, all_0_2_2) = all_108_2_96)
% 221.76/175.18 |
% 221.76/175.18 | Instantiating (157) with all_110_0_100, all_110_1_101, all_110_2_102 yields:
% 221.76/175.18 | (271) (all_110_0_100 = 0 & strong_iteration(all_20_1_18) = all_110_2_102 & leq(one, all_110_1_101) = 0 & multiplication(all_110_2_102, all_20_0_17) = all_110_1_101) | ( ~ (all_110_2_102 = 0) & leq(one, all_0_2_2) = all_110_2_102)
% 221.76/175.18 |
% 221.76/175.18 | Instantiating (159) with all_111_0_103 yields:
% 221.76/175.18 | (272) multiplication(all_20_1_18, zero) = all_111_0_103 & multiplication(one, all_111_0_103) = all_49_1_36
% 221.76/175.18 |
% 221.76/175.18 | Applying alpha-rule on (272) yields:
% 221.76/175.18 | (273) multiplication(all_20_1_18, zero) = all_111_0_103
% 221.76/175.18 | (274) multiplication(one, all_111_0_103) = all_49_1_36
% 221.76/175.18 |
% 221.76/175.18 | Instantiating (158) with all_113_0_104 yields:
% 221.76/175.19 | (275) multiplication(all_20_0_17, zero) = all_113_0_104 & multiplication(one, all_113_0_104) = all_49_0_35
% 221.76/175.19 |
% 221.76/175.19 | Applying alpha-rule on (275) yields:
% 221.76/175.19 | (276) multiplication(all_20_0_17, zero) = all_113_0_104
% 221.76/175.19 | (277) multiplication(one, all_113_0_104) = all_49_0_35
% 221.76/175.19 |
% 221.76/175.19 | Instantiating (156) with all_116_0_108 yields:
% 221.76/175.19 | (278) multiplication(all_0_2_2, all_116_0_108) = all_49_0_35 & multiplication(zero, zero) = all_116_0_108
% 221.76/175.19 |
% 221.76/175.19 | Applying alpha-rule on (278) yields:
% 221.76/175.19 | (279) multiplication(all_0_2_2, all_116_0_108) = all_49_0_35
% 221.76/175.19 | (280) multiplication(zero, zero) = all_116_0_108
% 221.76/175.19 |
% 221.76/175.19 | Instantiating (174) with all_118_0_109 yields:
% 221.76/175.19 | (281) addition(all_20_0_17, all_118_0_109) = all_0_2_2 & addition(all_20_1_18, one) = all_118_0_109
% 221.76/175.19 |
% 221.76/175.19 | Applying alpha-rule on (281) yields:
% 221.76/175.19 | (282) addition(all_20_0_17, all_118_0_109) = all_0_2_2
% 221.76/175.19 | (283) addition(all_20_1_18, one) = all_118_0_109
% 221.76/175.19 |
% 221.76/175.19 | Instantiating (173) with all_120_0_110 yields:
% 221.76/175.19 | (284) addition(all_120_0_110, all_20_1_18) = all_26_0_19 & addition(all_0_1_1, all_20_0_17) = all_120_0_110
% 221.76/175.19 |
% 221.76/175.19 | Applying alpha-rule on (284) yields:
% 221.76/175.19 | (285) addition(all_120_0_110, all_20_1_18) = all_26_0_19
% 221.76/175.19 | (286) addition(all_0_1_1, all_20_0_17) = all_120_0_110
% 221.76/175.19 |
% 221.76/175.19 | Instantiating (180) with all_122_0_111 yields:
% 221.76/175.19 | (287) addition(all_49_0_35, one) = all_122_0_111 & addition(all_49_1_36, all_122_0_111) = all_38_0_20
% 221.76/175.19 |
% 221.76/175.19 | Applying alpha-rule on (287) yields:
% 221.76/175.19 | (288) addition(all_49_0_35, one) = all_122_0_111
% 221.76/175.19 | (289) addition(all_49_1_36, all_122_0_111) = all_38_0_20
% 221.76/175.19 |
% 221.76/175.19 | Instantiating (178) with all_124_0_112, all_124_1_113, all_124_2_114 yields:
% 221.76/175.19 | (290) (all_124_0_112 = 0 & leq(all_124_1_113, all_20_0_17) = 0 & star(one) = all_124_2_114 & multiplication(all_124_2_114, one) = all_124_1_113) | ( ~ (all_124_2_114 = 0) & leq(all_38_0_20, all_20_0_17) = all_124_2_114)
% 221.76/175.19 |
% 221.76/175.19 | Instantiating (177) with all_125_0_115, all_125_1_116, all_125_2_117 yields:
% 221.76/175.19 | (291) (all_125_0_115 = 0 & strong_iteration(one) = all_125_2_117 & leq(all_20_0_17, all_125_1_116) = 0 & multiplication(all_125_2_117, one) = all_125_1_116) | ( ~ (all_125_2_117 = 0) & leq(all_20_0_17, all_38_0_20) = all_125_2_117)
% 221.76/175.19 |
% 221.76/175.19 | Instantiating (215) with all_127_0_121, all_127_1_122, all_127_2_123 yields:
% 221.76/175.19 | (292) (all_127_0_121 = 0 & strong_iteration(one) = all_127_2_123 & leq(one, all_127_1_122) = 0 & multiplication(all_127_2_123, all_0_2_2) = all_127_1_122) | ( ~ (all_127_2_123 = 0) & leq(one, all_0_2_2) = all_127_2_123)
% 221.76/175.19 |
% 221.76/175.19 | Instantiating (194) with all_129_0_127, all_129_1_128, all_129_2_129 yields:
% 221.76/175.19 | (293) (all_129_0_127 = 0 & strong_iteration(all_20_1_18) = all_129_2_129 & leq(one, all_129_1_128) = 0 & multiplication(all_129_2_129, all_38_0_20) = all_129_1_128) | ( ~ (all_129_2_129 = 0) & leq(one, all_0_2_2) = all_129_2_129)
% 221.76/175.19 |
% 221.76/175.19 | Instantiating (209) with all_130_0_130, all_130_1_131, all_130_2_132 yields:
% 221.76/175.19 | (294) (all_130_0_130 = 0 & leq(all_130_1_131, one) = 0 & star(one) = all_130_2_132 & multiplication(all_130_2_132, all_20_1_18) = all_130_1_131) | ( ~ (all_130_2_132 = 0) & leq(all_20_1_18, one) = all_130_2_132)
% 221.76/175.19 |
% 221.76/175.19 | Instantiating (208) with all_131_0_133, all_131_1_134, all_131_2_135 yields:
% 221.76/175.19 | (295) (all_131_0_133 = 0 & strong_iteration(one) = all_131_2_135 & leq(one, all_131_1_134) = 0 & multiplication(all_131_2_135, all_20_1_18) = all_131_1_134) | ( ~ (all_131_2_135 = 0) & leq(one, all_20_1_18) = all_131_2_135)
% 221.76/175.19 |
% 221.76/175.19 | Instantiating (207) with all_132_0_136, all_132_1_137, all_132_2_138 yields:
% 221.76/175.19 | (296) (all_132_0_136 = 0 & leq(all_132_1_137, one) = 0 & star(one) = all_132_2_138 & multiplication(all_20_1_18, all_132_2_138) = all_132_1_137) | ( ~ (all_132_2_138 = 0) & leq(all_20_1_18, one) = all_132_2_138)
% 221.76/175.19 |
% 221.76/175.19 | Instantiating (206) with all_133_0_139, all_133_1_140 yields:
% 221.76/175.19 | (297) multiplication(all_20_1_18, zero) = all_133_0_139 & multiplication(one, zero) = all_133_1_140 & addition(all_133_1_140, all_133_0_139) = all_49_1_36
% 221.76/175.19 |
% 221.76/175.19 | Applying alpha-rule on (297) yields:
% 221.76/175.19 | (298) multiplication(all_20_1_18, zero) = all_133_0_139
% 221.76/175.19 | (299) multiplication(one, zero) = all_133_1_140
% 221.76/175.19 | (300) addition(all_133_1_140, all_133_0_139) = all_49_1_36
% 221.76/175.19 |
% 221.76/175.19 | Instantiating (167) with all_135_0_141 yields:
% 221.76/175.19 | (301) addition(all_135_0_141, all_49_0_35) = all_26_0_19 & addition(all_44_0_29, all_49_1_36) = all_135_0_141
% 221.76/175.19 |
% 221.76/175.19 | Applying alpha-rule on (301) yields:
% 221.76/175.19 | (302) addition(all_135_0_141, all_49_0_35) = all_26_0_19
% 221.76/175.19 | (303) addition(all_44_0_29, all_49_1_36) = all_135_0_141
% 221.76/175.19 |
% 221.76/175.19 | Instantiating (188) with all_138_0_145 yields:
% 221.76/175.19 | (304) addition(all_138_0_145, zero) = all_26_0_19 & addition(all_44_0_29, all_20_0_17) = all_138_0_145
% 221.76/175.19 |
% 221.76/175.19 | Applying alpha-rule on (304) yields:
% 221.76/175.19 | (305) addition(all_138_0_145, zero) = all_26_0_19
% 221.76/175.19 | (306) addition(all_44_0_29, all_20_0_17) = all_138_0_145
% 221.76/175.19 |
% 221.76/175.19 | Instantiating (187) with all_140_0_146 yields:
% 221.76/175.19 | (307) addition(all_49_0_35, zero) = all_140_0_146 & addition(all_49_1_36, all_140_0_146) = all_20_0_17
% 221.76/175.19 |
% 221.76/175.19 | Applying alpha-rule on (307) yields:
% 221.76/175.19 | (308) addition(all_49_0_35, zero) = all_140_0_146
% 221.76/175.19 | (309) addition(all_49_1_36, all_140_0_146) = all_20_0_17
% 221.76/175.19 |
% 221.76/175.19 | Instantiating (168) with all_142_0_147 yields:
% 221.86/175.19 | (310) addition(all_44_0_29, all_142_0_147) = all_26_0_19 & addition(all_20_0_17, one) = all_142_0_147
% 221.86/175.19 |
% 221.86/175.19 | Applying alpha-rule on (310) yields:
% 221.86/175.19 | (311) addition(all_44_0_29, all_142_0_147) = all_26_0_19
% 221.86/175.19 | (312) addition(all_20_0_17, one) = all_142_0_147
% 221.86/175.19 |
% 221.86/175.19 | Instantiating (186) with all_144_0_148 yields:
% 221.86/175.19 | (313) addition(all_144_0_148, zero) = all_0_2_2 & addition(all_20_1_18, all_20_0_17) = all_144_0_148
% 221.86/175.19 |
% 221.86/175.19 | Applying alpha-rule on (313) yields:
% 221.86/175.19 | (314) addition(all_144_0_148, zero) = all_0_2_2
% 221.86/175.19 | (315) addition(all_20_1_18, all_20_0_17) = all_144_0_148
% 221.86/175.19 |
% 221.86/175.19 | Instantiating (185) with all_146_0_149, all_146_1_150, all_146_2_151 yields:
% 221.86/175.19 | (316) (all_146_0_149 = 0 & leq(all_146_1_150, all_20_0_17) = 0 & star(one) = all_146_2_151 & multiplication(all_146_2_151, zero) = all_146_1_150) | ( ~ (all_146_2_151 = 0) & leq(all_20_0_17, all_20_0_17) = all_146_2_151)
% 221.86/175.19 |
% 221.86/175.19 | Instantiating (201) with all_147_0_152 yields:
% 221.86/175.19 | (317) addition(all_0_2_2, all_147_0_152) = all_26_0_19 & addition(one, all_0_1_1) = all_147_0_152
% 221.86/175.19 |
% 221.86/175.19 | Applying alpha-rule on (317) yields:
% 221.86/175.19 | (318) addition(all_0_2_2, all_147_0_152) = all_26_0_19
% 221.86/175.19 | (319) addition(one, all_0_1_1) = all_147_0_152
% 221.86/175.19 |
% 221.86/175.19 | Instantiating (199) with all_150_0_156, all_150_1_157, all_150_2_158 yields:
% 221.86/175.19 | (320) (all_150_0_156 = 0 & strong_iteration(one) = all_150_2_158 & leq(all_0_2_2, all_150_1_157) = 0 & multiplication(all_150_2_158, all_0_1_1) = all_150_1_157) | ( ~ (all_150_2_158 = 0) & leq(all_0_2_2, all_26_0_19) = all_150_2_158)
% 221.86/175.19 |
% 221.86/175.19 | Instantiating (204) with all_152_0_162 yields:
% 221.86/175.19 | (321) addition(all_38_0_20, all_0_1_1) = all_152_0_162 & addition(all_20_1_18, all_152_0_162) = all_26_0_19
% 221.86/175.19 |
% 221.86/175.19 | Applying alpha-rule on (321) yields:
% 221.86/175.19 | (322) addition(all_38_0_20, all_0_1_1) = all_152_0_162
% 221.86/175.19 | (323) addition(all_20_1_18, all_152_0_162) = all_26_0_19
% 221.86/175.19 |
% 221.86/175.19 | Instantiating (182) with all_154_0_163, all_154_1_164, all_154_2_165 yields:
% 221.86/175.19 | (324) (all_154_0_163 = 0 & leq(all_154_1_164, all_0_2_2) = 0 & star(zero) = all_154_2_165 & multiplication(zero, all_154_2_165) = all_154_1_164) | ( ~ (all_154_2_165 = 0) & leq(all_20_0_17, all_0_2_2) = all_154_2_165)
% 221.86/175.19 |
% 221.86/175.19 | Instantiating (200) with all_155_0_166 yields:
% 221.86/175.19 | (325) addition(all_20_0_17, all_0_1_1) = all_155_0_166 & addition(all_20_1_18, all_155_0_166) = all_26_0_19
% 221.86/175.19 |
% 221.86/175.19 | Applying alpha-rule on (325) yields:
% 221.86/175.19 | (326) addition(all_20_0_17, all_0_1_1) = all_155_0_166
% 221.86/175.19 | (327) addition(all_20_1_18, all_155_0_166) = all_26_0_19
% 221.86/175.19 |
% 221.86/175.19 | Instantiating (214) with all_158_0_170, all_158_1_171 yields:
% 221.86/175.19 | (328) multiplication(all_0_2_2, zero) = all_158_0_170 & multiplication(one, zero) = all_158_1_171 & addition(all_158_1_171, all_158_0_170) = all_20_0_17
% 221.86/175.19 |
% 221.86/175.19 | Applying alpha-rule on (328) yields:
% 221.86/175.19 | (329) multiplication(all_0_2_2, zero) = all_158_0_170
% 221.86/175.19 | (330) multiplication(one, zero) = all_158_1_171
% 221.86/175.19 | (331) addition(all_158_1_171, all_158_0_170) = all_20_0_17
% 221.86/175.19 |
% 221.86/175.19 | Instantiating (217) with all_160_0_172 yields:
% 221.86/175.19 | (332) addition(all_160_0_172, all_20_1_18) = all_0_2_2 & addition(one, all_20_0_17) = all_160_0_172
% 221.86/175.19 |
% 221.86/175.19 | Applying alpha-rule on (332) yields:
% 221.86/175.19 | (333) addition(all_160_0_172, all_20_1_18) = all_0_2_2
% 221.86/175.19 | (334) addition(one, all_20_0_17) = all_160_0_172
% 221.86/175.19 |
% 221.86/175.19 | Instantiating (216) with all_162_0_173 yields:
% 221.86/175.19 | (335) addition(all_162_0_173, all_0_2_2) = all_26_0_19 & addition(all_0_1_1, one) = all_162_0_173
% 221.86/175.19 |
% 221.86/175.19 | Applying alpha-rule on (335) yields:
% 221.86/175.19 | (336) addition(all_162_0_173, all_0_2_2) = all_26_0_19
% 221.86/175.19 | (337) addition(all_0_1_1, one) = all_162_0_173
% 221.86/175.19 |
% 221.86/175.19 | Instantiating (203) with all_164_0_174 yields:
% 221.86/175.19 | (338) addition(all_20_0_17, all_164_0_174) = all_26_0_19 & addition(all_20_1_18, all_0_1_1) = all_164_0_174
% 221.86/175.19 |
% 221.86/175.19 | Applying alpha-rule on (338) yields:
% 221.86/175.19 | (339) addition(all_20_0_17, all_164_0_174) = all_26_0_19
% 221.86/175.19 | (340) addition(all_20_1_18, all_0_1_1) = all_164_0_174
% 221.86/175.19 |
% 221.86/175.19 | Instantiating (227) with all_166_0_175, all_166_1_176 yields:
% 221.86/175.19 | (341) multiplication(one, zero) = all_166_0_175 & multiplication(one, zero) = all_166_1_176 & addition(all_166_1_176, all_166_0_175) = zero
% 221.86/175.19 |
% 221.86/175.19 | Applying alpha-rule on (341) yields:
% 221.86/175.19 | (342) multiplication(one, zero) = all_166_0_175
% 221.86/175.19 | (343) multiplication(one, zero) = all_166_1_176
% 221.86/175.19 | (344) addition(all_166_1_176, all_166_0_175) = zero
% 221.86/175.19 |
% 221.86/175.19 | Instantiating (225) with all_168_0_177, all_168_1_178, all_168_2_179 yields:
% 221.86/175.19 | (345) (all_168_0_177 = 0 & strong_iteration(one) = all_168_2_179 & leq(one, all_168_1_178) = 0 & multiplication(all_168_2_179, one) = all_168_1_178) | ( ~ (all_168_2_179 = 0) & leq(one, one) = all_168_2_179)
% 221.86/175.19 |
% 221.86/175.19 | Instantiating (224) with all_169_0_180, all_169_1_181, all_169_2_182 yields:
% 221.86/175.19 | (346) (all_169_0_180 = 0 & leq(all_169_1_181, one) = 0 & star(one) = all_169_2_182 & multiplication(one, all_169_2_182) = all_169_1_181) | ( ~ (all_169_2_182 = 0) & leq(one, one) = all_169_2_182)
% 221.86/175.19 |
% 221.86/175.20 | Instantiating (202) with all_170_0_183 yields:
% 221.86/175.20 | (347) addition(all_0_1_1, one) = all_170_0_183 & addition(all_0_2_2, all_170_0_183) = all_26_0_19
% 221.86/175.20 |
% 221.86/175.20 | Applying alpha-rule on (347) yields:
% 221.86/175.20 | (348) addition(all_0_1_1, one) = all_170_0_183
% 221.86/175.20 | (349) addition(all_0_2_2, all_170_0_183) = all_26_0_19
% 221.86/175.20 |
% 221.86/175.20 | Instantiating (172) with all_172_0_184, all_172_1_185, all_172_2_186 yields:
% 221.86/175.20 | (350) (all_172_0_184 = 0 & leq(all_172_1_185, all_20_0_17) = 0 & star(one) = all_172_2_186 & multiplication(all_172_2_186, all_20_1_18) = all_172_1_185) | ( ~ (all_172_2_186 = 0) & leq(all_0_2_2, all_20_0_17) = all_172_2_186)
% 221.86/175.20 |
% 221.86/175.20 | Instantiating (171) with all_173_0_187, all_173_1_188, all_173_2_189 yields:
% 221.86/175.20 | (351) (all_173_0_187 = 0 & strong_iteration(one) = all_173_2_189 & leq(all_20_0_17, all_173_1_188) = 0 & multiplication(all_173_2_189, all_20_1_18) = all_173_1_188) | ( ~ (all_173_2_189 = 0) & leq(all_20_0_17, all_0_2_2) = all_173_2_189)
% 221.86/175.20 |
% 221.86/175.20 | Instantiating (170) with all_175_0_193, all_175_1_194 yields:
% 221.86/175.20 | (352) multiplication(all_20_0_17, zero) = all_175_1_194 & multiplication(all_20_1_18, zero) = all_175_0_193 & addition(all_175_1_194, all_175_0_193) = all_20_0_17
% 221.86/175.20 |
% 221.86/175.20 | Applying alpha-rule on (352) yields:
% 221.86/175.20 | (353) multiplication(all_20_0_17, zero) = all_175_1_194
% 221.86/175.20 | (354) multiplication(all_20_1_18, zero) = all_175_0_193
% 221.86/175.20 | (355) addition(all_175_1_194, all_175_0_193) = all_20_0_17
% 221.86/175.20 |
% 221.86/175.20 | Instantiating (169) with all_177_0_195, all_177_1_196, all_177_2_197 yields:
% 221.86/175.20 | (356) (all_177_0_195 = 0 & leq(all_177_1_196, all_0_2_2) = 0 & star(zero) = all_177_2_197 & multiplication(all_20_1_18, all_177_2_197) = all_177_1_196) | ( ~ (all_177_2_197 = 0) & leq(all_0_2_2, all_0_2_2) = all_177_2_197)
% 221.86/175.20 |
% 221.86/175.20 | Instantiating (192) with all_178_0_198, all_178_1_199 yields:
% 221.86/175.20 | (357) multiplication(all_38_0_20, zero) = all_178_0_198 & multiplication(all_20_1_18, zero) = all_178_1_199 & addition(all_178_1_199, all_178_0_198) = all_20_0_17
% 221.86/175.20 |
% 221.86/175.20 | Applying alpha-rule on (357) yields:
% 221.86/175.20 | (358) multiplication(all_38_0_20, zero) = all_178_0_198
% 221.86/175.20 | (359) multiplication(all_20_1_18, zero) = all_178_1_199
% 221.86/175.20 | (360) addition(all_178_1_199, all_178_0_198) = all_20_0_17
% 221.86/175.20 |
% 221.86/175.20 | Instantiating (165) with all_180_0_200, all_180_1_201 yields:
% 221.86/175.20 | (361) multiplication(one, all_49_0_35) = all_180_0_200 & multiplication(one, all_49_1_36) = all_180_1_201 & addition(all_180_1_201, all_180_0_200) = all_20_0_17
% 221.86/175.20 |
% 221.86/175.20 | Applying alpha-rule on (361) yields:
% 221.86/175.20 | (362) multiplication(one, all_49_0_35) = all_180_0_200
% 221.86/175.20 | (363) multiplication(one, all_49_1_36) = all_180_1_201
% 221.86/175.20 | (364) addition(all_180_1_201, all_180_0_200) = all_20_0_17
% 221.86/175.20 |
% 221.86/175.20 | Instantiating (164) with all_183_0_205, all_183_1_206, all_183_2_207 yields:
% 221.86/175.20 | (365) (all_183_0_205 = 0 & strong_iteration(all_20_1_18) = all_183_2_207 & leq(zero, all_183_1_206) = 0 & multiplication(all_183_2_207, all_49_0_35) = all_183_1_206) | ( ~ (all_183_2_207 = 0) & leq(zero, all_20_0_17) = all_183_2_207)
% 221.86/175.20 |
% 221.86/175.20 | Instantiating (184) with all_184_0_208, all_184_1_209, all_184_2_210 yields:
% 221.86/175.20 | (366) (all_184_0_208 = 0 & strong_iteration(one) = all_184_2_210 & leq(all_20_0_17, all_184_1_209) = 0 & multiplication(all_184_2_210, zero) = all_184_1_209) | ( ~ (all_184_2_210 = 0) & leq(all_20_0_17, all_20_0_17) = all_184_2_210)
% 221.86/175.20 |
% 221.86/175.20 | Instantiating (183) with all_186_0_214, all_186_1_215 yields:
% 221.86/175.20 | (367) multiplication(all_20_0_17, zero) = all_186_1_215 & multiplication(zero, zero) = all_186_0_214 & addition(all_186_1_215, all_186_0_214) = all_49_0_35
% 221.86/175.20 |
% 221.86/175.20 | Applying alpha-rule on (367) yields:
% 221.86/175.20 | (368) multiplication(all_20_0_17, zero) = all_186_1_215
% 221.86/175.20 | (369) multiplication(zero, zero) = all_186_0_214
% 221.86/175.20 | (370) addition(all_186_1_215, all_186_0_214) = all_49_0_35
% 221.86/175.20 |
% 221.86/175.20 | Instantiating (211) with all_190_0_222 yields:
% 221.86/175.20 | (371) addition(all_190_0_222, all_20_1_18) = all_44_0_29 & addition(all_0_1_1, one) = all_190_0_222
% 221.86/175.20 |
% 221.86/175.20 | Applying alpha-rule on (371) yields:
% 221.86/175.20 | (372) addition(all_190_0_222, all_20_1_18) = all_44_0_29
% 221.86/175.20 | (373) addition(all_0_1_1, one) = all_190_0_222
% 221.86/175.20 |
% 221.86/175.20 | Instantiating (210) with all_192_0_223 yields:
% 221.86/175.20 | (374) addition(all_192_0_223, all_20_1_18) = all_0_2_2 & addition(all_20_0_17, one) = all_192_0_223
% 221.86/175.20 |
% 221.86/175.20 | Applying alpha-rule on (374) yields:
% 221.86/175.20 | (375) addition(all_192_0_223, all_20_1_18) = all_0_2_2
% 221.86/175.20 | (376) addition(all_20_0_17, one) = all_192_0_223
% 221.86/175.20 |
% 221.86/175.20 | Instantiating (226) with all_194_0_224, all_194_1_225, all_194_2_226 yields:
% 221.86/175.20 | (377) (all_194_0_224 = 0 & leq(all_194_1_225, one) = 0 & star(one) = all_194_2_226 & multiplication(all_194_2_226, one) = all_194_1_225) | ( ~ (all_194_2_226 = 0) & leq(one, one) = all_194_2_226)
% 221.86/175.20 |
% 221.86/175.20 | Instantiating (163) with all_195_0_227, all_195_1_228 yields:
% 221.86/175.20 | (378) multiplication(all_49_0_35, zero) = all_195_0_227 & multiplication(all_49_1_36, zero) = all_195_1_228 & addition(all_195_1_228, all_195_0_227) = all_49_0_35
% 221.86/175.20 |
% 221.86/175.20 | Applying alpha-rule on (378) yields:
% 221.86/175.20 | (379) multiplication(all_49_0_35, zero) = all_195_0_227
% 221.86/175.20 | (380) multiplication(all_49_1_36, zero) = all_195_1_228
% 221.86/175.20 | (381) addition(all_195_1_228, all_195_0_227) = all_49_0_35
% 221.86/175.20 |
% 221.86/175.20 | Instantiating (162) with all_197_0_229 yields:
% 221.86/175.20 | (382) multiplication(all_197_0_229, zero) = all_49_0_35 & multiplication(all_20_0_17, one) = all_197_0_229
% 221.86/175.20 |
% 221.86/175.20 | Applying alpha-rule on (382) yields:
% 221.86/175.20 | (383) multiplication(all_197_0_229, zero) = all_49_0_35
% 221.86/175.20 | (384) multiplication(all_20_0_17, one) = all_197_0_229
% 221.86/175.20 |
% 221.86/175.20 | Instantiating (191) with all_199_0_230 yields:
% 221.86/175.20 | (385) addition(all_20_0_17, all_199_0_230) = all_20_0_17 & addition(zero, zero) = all_199_0_230
% 221.86/175.20 |
% 221.86/175.20 | Applying alpha-rule on (385) yields:
% 221.86/175.20 | (386) addition(all_20_0_17, all_199_0_230) = all_20_0_17
% 221.86/175.20 | (387) addition(zero, zero) = all_199_0_230
% 221.86/175.20 |
% 221.86/175.20 | Instantiating (179) with all_201_0_231 yields:
% 221.86/175.20 | (388) multiplication(one, all_201_0_231) = all_38_0_20 & addition(all_20_0_17, one) = all_201_0_231
% 221.86/175.20 |
% 221.86/175.20 | Applying alpha-rule on (388) yields:
% 221.86/175.20 | (389) multiplication(one, all_201_0_231) = all_38_0_20
% 221.86/175.20 | (390) addition(all_20_0_17, one) = all_201_0_231
% 221.86/175.20 |
% 221.86/175.20 | Instantiating (190) with all_203_0_232 yields:
% 221.86/175.20 | (391) addition(all_20_0_17, all_203_0_232) = all_38_0_20 & addition(zero, one) = all_203_0_232
% 221.86/175.20 |
% 221.86/175.20 | Applying alpha-rule on (391) yields:
% 221.86/175.20 | (392) addition(all_20_0_17, all_203_0_232) = all_38_0_20
% 221.86/175.20 | (393) addition(zero, one) = all_203_0_232
% 221.86/175.20 |
% 221.86/175.20 | Instantiating (189) with all_205_0_233 yields:
% 221.86/175.20 | (394) addition(all_20_0_17, all_205_0_233) = all_0_2_2 & addition(zero, all_20_1_18) = all_205_0_233
% 221.86/175.20 |
% 221.86/175.20 | Applying alpha-rule on (394) yields:
% 221.86/175.20 | (395) addition(all_20_0_17, all_205_0_233) = all_0_2_2
% 221.86/175.20 | (396) addition(zero, all_20_1_18) = all_205_0_233
% 221.86/175.20 |
% 221.86/175.20 | Instantiating (161) with all_207_0_234 yields:
% 221.86/175.20 | (397) multiplication(all_207_0_234, zero) = all_20_0_17 & multiplication(all_0_2_2, one) = all_207_0_234
% 221.86/175.20 |
% 221.86/175.20 | Applying alpha-rule on (397) yields:
% 221.86/175.20 | (398) multiplication(all_207_0_234, zero) = all_20_0_17
% 221.86/175.20 | (399) multiplication(all_0_2_2, one) = all_207_0_234
% 221.86/175.20 |
% 221.86/175.20 +-Applying beta-rule and splitting (345), into two cases.
% 221.86/175.20 |-Branch one:
% 221.86/175.20 | (400) all_168_0_177 = 0 & strong_iteration(one) = all_168_2_179 & leq(one, all_168_1_178) = 0 & multiplication(all_168_2_179, one) = all_168_1_178
% 221.86/175.20 |
% 221.86/175.20 | Applying alpha-rule on (400) yields:
% 221.86/175.20 | (401) all_168_0_177 = 0
% 221.86/175.20 | (402) strong_iteration(one) = all_168_2_179
% 221.86/175.20 | (403) leq(one, all_168_1_178) = 0
% 221.86/175.20 | (404) multiplication(all_168_2_179, one) = all_168_1_178
% 221.86/175.20 |
% 221.86/175.20 +-Applying beta-rule and splitting (377), into two cases.
% 221.86/175.20 |-Branch one:
% 221.86/175.20 | (405) all_194_0_224 = 0 & leq(all_194_1_225, one) = 0 & star(one) = all_194_2_226 & multiplication(all_194_2_226, one) = all_194_1_225
% 221.86/175.20 |
% 221.86/175.20 | Applying alpha-rule on (405) yields:
% 221.86/175.20 | (406) all_194_0_224 = 0
% 221.86/175.20 | (407) leq(all_194_1_225, one) = 0
% 221.86/175.20 | (408) star(one) = all_194_2_226
% 221.86/175.20 | (409) multiplication(all_194_2_226, one) = all_194_1_225
% 221.86/175.20 |
% 221.86/175.20 +-Applying beta-rule and splitting (293), into two cases.
% 221.86/175.20 |-Branch one:
% 221.86/175.20 | (410) all_129_0_127 = 0 & strong_iteration(all_20_1_18) = all_129_2_129 & leq(one, all_129_1_128) = 0 & multiplication(all_129_2_129, all_38_0_20) = all_129_1_128
% 221.86/175.20 |
% 221.86/175.20 | Applying alpha-rule on (410) yields:
% 221.86/175.20 | (411) all_129_0_127 = 0
% 221.86/175.20 | (412) strong_iteration(all_20_1_18) = all_129_2_129
% 221.86/175.20 | (413) leq(one, all_129_1_128) = 0
% 221.86/175.20 | (414) multiplication(all_129_2_129, all_38_0_20) = all_129_1_128
% 221.86/175.20 |
% 221.86/175.20 +-Applying beta-rule and splitting (295), into two cases.
% 221.86/175.20 |-Branch one:
% 221.86/175.20 | (415) all_131_0_133 = 0 & strong_iteration(one) = all_131_2_135 & leq(one, all_131_1_134) = 0 & multiplication(all_131_2_135, all_20_1_18) = all_131_1_134
% 221.86/175.20 |
% 221.86/175.20 | Applying alpha-rule on (415) yields:
% 221.86/175.20 | (416) all_131_0_133 = 0
% 221.86/175.20 | (417) strong_iteration(one) = all_131_2_135
% 221.86/175.20 | (418) leq(one, all_131_1_134) = 0
% 221.86/175.20 | (419) multiplication(all_131_2_135, all_20_1_18) = all_131_1_134
% 221.86/175.20 |
% 221.86/175.20 +-Applying beta-rule and splitting (271), into two cases.
% 221.86/175.20 |-Branch one:
% 221.86/175.20 | (420) all_110_0_100 = 0 & strong_iteration(all_20_1_18) = all_110_2_102 & leq(one, all_110_1_101) = 0 & multiplication(all_110_2_102, all_20_0_17) = all_110_1_101
% 221.86/175.20 |
% 221.86/175.20 | Applying alpha-rule on (420) yields:
% 221.86/175.20 | (421) all_110_0_100 = 0
% 221.86/175.20 | (422) strong_iteration(all_20_1_18) = all_110_2_102
% 221.86/175.20 | (423) leq(one, all_110_1_101) = 0
% 221.86/175.20 | (424) multiplication(all_110_2_102, all_20_0_17) = all_110_1_101
% 221.86/175.20 |
% 221.86/175.20 +-Applying beta-rule and splitting (346), into two cases.
% 221.86/175.20 |-Branch one:
% 221.86/175.20 | (425) all_169_0_180 = 0 & leq(all_169_1_181, one) = 0 & star(one) = all_169_2_182 & multiplication(one, all_169_2_182) = all_169_1_181
% 221.86/175.20 |
% 221.86/175.20 | Applying alpha-rule on (425) yields:
% 221.86/175.20 | (426) all_169_0_180 = 0
% 221.86/175.20 | (427) leq(all_169_1_181, one) = 0
% 221.86/175.20 | (428) star(one) = all_169_2_182
% 221.86/175.20 | (429) multiplication(one, all_169_2_182) = all_169_1_181
% 221.86/175.20 |
% 221.86/175.20 +-Applying beta-rule and splitting (292), into two cases.
% 221.86/175.20 |-Branch one:
% 221.86/175.20 | (430) all_127_0_121 = 0 & strong_iteration(one) = all_127_2_123 & leq(one, all_127_1_122) = 0 & multiplication(all_127_2_123, all_0_2_2) = all_127_1_122
% 221.86/175.21 |
% 221.86/175.21 | Applying alpha-rule on (430) yields:
% 221.86/175.21 | (431) all_127_0_121 = 0
% 221.86/175.21 | (432) strong_iteration(one) = all_127_2_123
% 221.86/175.21 | (433) leq(one, all_127_1_122) = 0
% 221.86/175.21 | (434) multiplication(all_127_2_123, all_0_2_2) = all_127_1_122
% 221.86/175.21 |
% 221.86/175.21 | Instantiating formula (29) with all_20_1_18, all_110_2_102, all_129_2_129 and discharging atoms strong_iteration(all_20_1_18) = all_129_2_129, strong_iteration(all_20_1_18) = all_110_2_102, yields:
% 221.86/175.21 | (435) all_129_2_129 = all_110_2_102
% 221.86/175.21 |
% 221.86/175.21 | Instantiating formula (29) with one, all_168_2_179, all_0_2_2 and discharging atoms strong_iteration(one) = all_168_2_179, strong_iteration(one) = all_0_2_2, yields:
% 221.86/175.21 | (436) all_168_2_179 = all_0_2_2
% 221.86/175.21 |
% 221.86/175.21 | Instantiating formula (29) with one, all_131_2_135, all_168_2_179 and discharging atoms strong_iteration(one) = all_168_2_179, strong_iteration(one) = all_131_2_135, yields:
% 221.86/175.21 | (437) all_168_2_179 = all_131_2_135
% 221.86/175.21 |
% 221.86/175.21 | Instantiating formula (29) with one, all_127_2_123, all_131_2_135 and discharging atoms strong_iteration(one) = all_131_2_135, strong_iteration(one) = all_127_2_123, yields:
% 221.86/175.21 | (438) all_131_2_135 = all_127_2_123
% 221.86/175.21 |
% 221.86/175.21 | Instantiating formula (31) with one, all_194_2_226, all_20_1_18 and discharging atoms star(one) = all_194_2_226, star(one) = all_20_1_18, yields:
% 221.86/175.21 | (439) all_194_2_226 = all_20_1_18
% 221.86/175.21 |
% 221.86/175.21 | Instantiating formula (31) with one, all_169_2_182, all_194_2_226 and discharging atoms star(one) = all_194_2_226, star(one) = all_169_2_182, yields:
% 221.86/175.21 | (440) all_194_2_226 = all_169_2_182
% 221.86/175.21 |
% 221.86/175.21 | Instantiating formula (2) with all_168_1_178, all_168_2_179 and discharging atoms multiplication(all_168_2_179, one) = all_168_1_178, yields:
% 221.86/175.21 | (441) all_168_1_178 = all_168_2_179
% 221.86/175.21 |
% 221.86/175.21 | Instantiating formula (2) with all_197_0_229, all_20_0_17 and discharging atoms multiplication(all_20_0_17, one) = all_197_0_229, yields:
% 221.86/175.21 | (442) all_197_0_229 = all_20_0_17
% 221.86/175.21 |
% 221.86/175.21 | Instantiating formula (19) with all_20_0_17, zero, all_186_1_215, all_49_0_35 and discharging atoms multiplication(all_20_0_17, zero) = all_186_1_215, multiplication(all_20_0_17, zero) = all_49_0_35, yields:
% 221.86/175.21 | (443) all_186_1_215 = all_49_0_35
% 221.86/175.21 |
% 221.86/175.21 | Instantiating formula (19) with all_20_0_17, zero, all_175_1_194, all_186_1_215 and discharging atoms multiplication(all_20_0_17, zero) = all_186_1_215, multiplication(all_20_0_17, zero) = all_175_1_194, yields:
% 221.86/175.21 | (444) all_186_1_215 = all_175_1_194
% 221.86/175.21 |
% 221.86/175.21 | Instantiating formula (19) with all_20_0_17, zero, all_113_0_104, all_186_1_215 and discharging atoms multiplication(all_20_0_17, zero) = all_186_1_215, multiplication(all_20_0_17, zero) = all_113_0_104, yields:
% 221.86/175.21 | (445) all_186_1_215 = all_113_0_104
% 221.86/175.21 |
% 221.86/175.21 | Instantiating formula (2) with all_95_0_73, all_20_1_18 and discharging atoms multiplication(all_20_1_18, one) = all_95_0_73, yields:
% 221.86/175.21 | (446) all_95_0_73 = all_20_1_18
% 221.86/175.21 |
% 221.86/175.21 | Instantiating formula (19) with all_20_1_18, one, all_95_1_74, all_95_0_73 and discharging atoms multiplication(all_20_1_18, one) = all_95_0_73, multiplication(all_20_1_18, one) = all_95_1_74, yields:
% 221.86/175.21 | (447) all_95_0_73 = all_95_1_74
% 221.86/175.21 |
% 221.86/175.21 | Instantiating formula (19) with all_20_1_18, zero, all_178_1_199, all_49_1_36 and discharging atoms multiplication(all_20_1_18, zero) = all_178_1_199, multiplication(all_20_1_18, zero) = all_49_1_36, yields:
% 221.86/175.21 | (448) all_178_1_199 = all_49_1_36
% 221.86/175.21 |
% 221.86/175.21 | Instantiating formula (19) with all_20_1_18, zero, all_175_0_193, all_178_1_199 and discharging atoms multiplication(all_20_1_18, zero) = all_178_1_199, multiplication(all_20_1_18, zero) = all_175_0_193, yields:
% 221.86/175.21 | (449) all_178_1_199 = all_175_0_193
% 221.86/175.21 |
% 221.86/175.21 | Instantiating formula (19) with all_20_1_18, zero, all_133_0_139, all_178_1_199 and discharging atoms multiplication(all_20_1_18, zero) = all_178_1_199, multiplication(all_20_1_18, zero) = all_133_0_139, yields:
% 221.86/175.21 | (450) all_178_1_199 = all_133_0_139
% 221.86/175.21 |
% 221.86/175.21 | Instantiating formula (19) with all_20_1_18, zero, all_111_0_103, all_178_1_199 and discharging atoms multiplication(all_20_1_18, zero) = all_178_1_199, multiplication(all_20_1_18, zero) = all_111_0_103, yields:
% 221.86/175.21 | (451) all_178_1_199 = all_111_0_103
% 221.86/175.21 |
% 221.86/175.21 | Instantiating formula (2) with all_207_0_234, all_0_2_2 and discharging atoms multiplication(all_0_2_2, one) = all_207_0_234, yields:
% 221.86/175.21 | (452) all_207_0_234 = all_0_2_2
% 221.86/175.21 |
% 221.86/175.21 | Instantiating formula (19) with all_0_2_2, zero, all_158_0_170, all_20_0_17 and discharging atoms multiplication(all_0_2_2, zero) = all_158_0_170, multiplication(all_0_2_2, zero) = all_20_0_17, yields:
% 221.86/175.21 | (453) all_158_0_170 = all_20_0_17
% 221.86/175.21 |
% 221.86/175.21 | Instantiating formula (20) with all_169_1_181, all_169_2_182 and discharging atoms multiplication(one, all_169_2_182) = all_169_1_181, yields:
% 221.86/175.21 | (454) all_169_1_181 = all_169_2_182
% 221.86/175.21 |
% 221.86/175.21 | Instantiating formula (20) with all_180_0_200, all_49_0_35 and discharging atoms multiplication(one, all_49_0_35) = all_180_0_200, yields:
% 221.86/175.21 | (455) all_180_0_200 = all_49_0_35
% 221.86/175.21 |
% 221.86/175.21 | Instantiating formula (20) with all_180_1_201, all_49_1_36 and discharging atoms multiplication(one, all_49_1_36) = all_180_1_201, yields:
% 221.86/175.21 | (456) all_180_1_201 = all_49_1_36
% 221.86/175.21 |
% 221.86/175.21 | Instantiating formula (20) with all_80_0_50, all_38_0_20 and discharging atoms multiplication(one, all_38_0_20) = all_80_0_50, yields:
% 221.86/175.21 | (457) all_80_0_50 = all_38_0_20
% 221.86/175.21 |
% 221.86/175.21 | Instantiating formula (20) with all_93_0_71, all_20_0_17 and discharging atoms multiplication(one, all_20_0_17) = all_93_0_71, yields:
% 221.86/175.21 | (458) all_93_0_71 = all_20_0_17
% 221.86/175.21 |
% 221.86/175.21 | Instantiating formula (19) with one, all_20_0_17, all_93_1_72, all_93_0_71 and discharging atoms multiplication(one, all_20_0_17) = all_93_0_71, multiplication(one, all_20_0_17) = all_93_1_72, yields:
% 221.86/175.21 | (459) all_93_0_71 = all_93_1_72
% 221.86/175.21 |
% 221.86/175.21 | Instantiating formula (19) with one, all_20_1_18, all_91_1_70, all_91_0_69 and discharging atoms multiplication(one, all_20_1_18) = all_91_0_69, multiplication(one, all_20_1_18) = all_91_1_70, yields:
% 221.86/175.21 | (460) all_91_0_69 = all_91_1_70
% 221.86/175.21 |
% 221.86/175.21 | Instantiating formula (20) with all_91_1_70, all_20_1_18 and discharging atoms multiplication(one, all_20_1_18) = all_91_1_70, yields:
% 221.86/175.21 | (461) all_91_1_70 = all_20_1_18
% 221.86/175.21 |
% 221.86/175.21 | Instantiating formula (19) with one, all_20_1_18, all_80_1_51, all_91_0_69 and discharging atoms multiplication(one, all_20_1_18) = all_91_0_69, multiplication(one, all_20_1_18) = all_80_1_51, yields:
% 221.86/175.21 | (462) all_91_0_69 = all_80_1_51
% 221.86/175.21 |
% 221.86/175.21 | Instantiating formula (20) with all_97_0_75, all_0_2_2 and discharging atoms multiplication(one, all_0_2_2) = all_97_0_75, yields:
% 221.86/175.21 | (463) all_97_0_75 = all_0_2_2
% 221.86/175.21 |
% 221.86/175.21 | Instantiating formula (19) with one, all_0_2_2, all_97_1_76, all_97_0_75 and discharging atoms multiplication(one, all_0_2_2) = all_97_0_75, multiplication(one, all_0_2_2) = all_97_1_76, yields:
% 221.86/175.21 | (464) all_97_0_75 = all_97_1_76
% 221.86/175.21 |
% 221.86/175.21 | Instantiating formula (19) with one, zero, all_166_1_176, all_166_0_175 and discharging atoms multiplication(one, zero) = all_166_0_175, multiplication(one, zero) = all_166_1_176, yields:
% 221.86/175.21 | (465) all_166_0_175 = all_166_1_176
% 221.86/175.21 |
% 221.86/175.21 | Instantiating formula (20) with all_166_1_176, zero and discharging atoms multiplication(one, zero) = all_166_1_176, yields:
% 221.86/175.21 | (466) all_166_1_176 = zero
% 221.86/175.21 |
% 221.86/175.21 | Instantiating formula (19) with one, zero, all_158_1_171, all_166_1_176 and discharging atoms multiplication(one, zero) = all_166_1_176, multiplication(one, zero) = all_158_1_171, yields:
% 221.86/175.21 | (467) all_166_1_176 = all_158_1_171
% 221.86/175.21 |
% 221.86/175.21 | Instantiating formula (19) with one, zero, all_133_1_140, all_166_0_175 and discharging atoms multiplication(one, zero) = all_166_0_175, multiplication(one, zero) = all_133_1_140, yields:
% 221.86/175.21 | (468) all_166_0_175 = all_133_1_140
% 221.86/175.21 |
% 221.86/175.21 | Instantiating formula (6) with all_186_0_214, zero and discharging atoms multiplication(zero, zero) = all_186_0_214, yields:
% 221.86/175.21 | (469) all_186_0_214 = zero
% 221.86/175.21 |
% 221.86/175.21 | Instantiating formula (19) with zero, zero, all_116_0_108, all_186_0_214 and discharging atoms multiplication(zero, zero) = all_186_0_214, multiplication(zero, zero) = all_116_0_108, yields:
% 221.86/175.21 | (470) all_186_0_214 = all_116_0_108
% 221.86/175.21 |
% 221.86/175.21 | Instantiating formula (34) with all_140_0_146, all_49_0_35 and discharging atoms addition(all_49_0_35, zero) = all_140_0_146, yields:
% 221.86/175.21 | (471) all_140_0_146 = all_49_0_35
% 221.86/175.21 |
% 221.86/175.21 | Instantiating formula (36) with all_44_0_29, all_20_0_17, all_138_0_145, all_26_0_19 and discharging atoms addition(all_44_0_29, all_20_0_17) = all_138_0_145, addition(all_44_0_29, all_20_0_17) = all_26_0_19, yields:
% 221.86/175.21 | (472) all_138_0_145 = all_26_0_19
% 221.86/175.21 |
% 221.86/175.21 | Instantiating formula (36) with all_20_0_17, one, all_192_0_223, all_201_0_231 and discharging atoms addition(all_20_0_17, one) = all_201_0_231, addition(all_20_0_17, one) = all_192_0_223, yields:
% 221.86/175.21 | (473) all_201_0_231 = all_192_0_223
% 221.86/175.21 |
% 221.86/175.21 | Instantiating formula (36) with all_20_0_17, one, all_142_0_147, all_38_0_20 and discharging atoms addition(all_20_0_17, one) = all_142_0_147, addition(all_20_0_17, one) = all_38_0_20, yields:
% 221.86/175.21 | (474) all_142_0_147 = all_38_0_20
% 221.86/175.21 |
% 221.86/175.21 | Instantiating formula (36) with all_20_0_17, one, all_142_0_147, all_192_0_223 and discharging atoms addition(all_20_0_17, one) = all_192_0_223, addition(all_20_0_17, one) = all_142_0_147, yields:
% 221.86/175.21 | (475) all_192_0_223 = all_142_0_147
% 221.86/175.21 |
% 221.86/175.21 | Instantiating formula (36) with all_20_0_17, one, all_89_0_68, all_201_0_231 and discharging atoms addition(all_20_0_17, one) = all_201_0_231, addition(all_20_0_17, one) = all_89_0_68, yields:
% 221.86/175.21 | (476) all_201_0_231 = all_89_0_68
% 221.86/175.21 |
% 221.86/175.21 | Instantiating formula (36) with all_20_1_18, all_20_0_17, all_144_0_148, all_0_2_2 and discharging atoms addition(all_20_1_18, all_20_0_17) = all_144_0_148, addition(all_20_1_18, all_20_0_17) = all_0_2_2, yields:
% 221.86/175.21 | (477) all_144_0_148 = all_0_2_2
% 221.86/175.21 |
% 221.86/175.21 | Instantiating formula (36) with all_20_1_18, all_0_1_1, all_44_0_29, all_164_0_174 and discharging atoms addition(all_20_1_18, all_0_1_1) = all_164_0_174, addition(all_20_1_18, all_0_1_1) = all_44_0_29, yields:
% 221.86/175.21 | (478) all_164_0_174 = all_44_0_29
% 221.86/175.21 |
% 221.86/175.21 | Instantiating formula (36) with all_20_1_18, one, all_20_1_18, all_118_0_109 and discharging atoms addition(all_20_1_18, one) = all_118_0_109, addition(all_20_1_18, one) = all_20_1_18, yields:
% 221.86/175.21 | (479) all_118_0_109 = all_20_1_18
% 221.86/175.21 |
% 221.86/175.21 | Instantiating formula (36) with all_0_1_1, all_20_1_18, all_77_0_46, all_44_0_29 and discharging atoms addition(all_0_1_1, all_20_1_18) = all_77_0_46, addition(all_0_1_1, all_20_1_18) = all_44_0_29, yields:
% 221.86/175.21 | (480) all_77_0_46 = all_44_0_29
% 221.86/175.21 |
% 221.86/175.21 | Instantiating formula (36) with all_0_1_1, one, all_170_0_183, all_190_0_222 and discharging atoms addition(all_0_1_1, one) = all_190_0_222, addition(all_0_1_1, one) = all_170_0_183, yields:
% 221.86/175.21 | (481) all_190_0_222 = all_170_0_183
% 221.86/175.21 |
% 221.86/175.21 | Instantiating formula (36) with all_0_1_1, one, all_162_0_173, all_190_0_222 and discharging atoms addition(all_0_1_1, one) = all_190_0_222, addition(all_0_1_1, one) = all_162_0_173, yields:
% 221.86/175.21 | (482) all_190_0_222 = all_162_0_173
% 221.86/175.21 |
% 221.86/175.21 | Instantiating formula (36) with all_0_2_2, all_0_1_1, all_99_0_77, all_26_0_19 and discharging atoms addition(all_0_2_2, all_0_1_1) = all_99_0_77, addition(all_0_2_2, all_0_1_1) = all_26_0_19, yields:
% 221.86/175.21 | (483) all_99_0_77 = all_26_0_19
% 221.86/175.21 |
% 221.86/175.21 | Instantiating formula (36) with one, all_20_0_17, all_38_0_20, all_160_0_172 and discharging atoms addition(one, all_20_0_17) = all_160_0_172, addition(one, all_20_0_17) = all_38_0_20, yields:
% 221.86/175.21 | (484) all_160_0_172 = all_38_0_20
% 221.86/175.21 |
% 221.86/175.21 | Instantiating formula (25) with all_199_0_230, zero and discharging atoms addition(zero, zero) = all_199_0_230, yields:
% 221.86/175.21 | (485) all_199_0_230 = zero
% 221.86/175.21 |
% 221.86/175.21 | Combining equations (473,476) yields a new equation:
% 221.86/175.21 | (486) all_192_0_223 = all_89_0_68
% 221.86/175.21 |
% 221.86/175.21 | Simplifying 486 yields:
% 221.86/175.21 | (487) all_192_0_223 = all_89_0_68
% 221.86/175.21 |
% 221.86/175.21 | Combining equations (439,440) yields a new equation:
% 221.86/175.21 | (488) all_169_2_182 = all_20_1_18
% 221.86/175.21 |
% 221.86/175.21 | Combining equations (475,487) yields a new equation:
% 221.86/175.21 | (489) all_142_0_147 = all_89_0_68
% 221.86/175.21 |
% 221.86/175.21 | Simplifying 489 yields:
% 221.86/175.21 | (490) all_142_0_147 = all_89_0_68
% 221.86/175.21 |
% 221.86/175.21 | Combining equations (482,481) yields a new equation:
% 221.86/175.21 | (491) all_170_0_183 = all_162_0_173
% 221.86/175.21 |
% 221.86/175.21 | Combining equations (469,470) yields a new equation:
% 221.86/175.21 | (492) all_116_0_108 = zero
% 221.86/175.21 |
% 221.86/175.21 | Combining equations (443,444) yields a new equation:
% 221.86/175.21 | (493) all_175_1_194 = all_49_0_35
% 221.86/175.21 |
% 221.86/175.21 | Combining equations (445,444) yields a new equation:
% 221.86/175.21 | (494) all_175_1_194 = all_113_0_104
% 221.86/175.21 |
% 221.86/175.21 | Combining equations (450,449) yields a new equation:
% 221.86/175.21 | (495) all_175_0_193 = all_133_0_139
% 221.86/175.21 |
% 221.86/175.21 | Combining equations (451,449) yields a new equation:
% 221.86/175.21 | (496) all_175_0_193 = all_111_0_103
% 221.86/175.21 |
% 221.86/175.21 | Combining equations (448,449) yields a new equation:
% 221.86/175.21 | (497) all_175_0_193 = all_49_1_36
% 221.86/175.21 |
% 221.86/175.21 | Combining equations (496,495) yields a new equation:
% 221.86/175.21 | (498) all_133_0_139 = all_111_0_103
% 221.86/175.21 |
% 221.86/175.21 | Combining equations (497,495) yields a new equation:
% 221.86/175.21 | (499) all_133_0_139 = all_49_1_36
% 221.86/175.21 |
% 221.86/175.21 | Combining equations (494,493) yields a new equation:
% 221.86/175.21 | (500) all_113_0_104 = all_49_0_35
% 221.86/175.21 |
% 221.86/175.22 | Simplifying 500 yields:
% 221.86/175.22 | (501) all_113_0_104 = all_49_0_35
% 221.86/175.22 |
% 221.86/175.22 | Combining equations (437,436) yields a new equation:
% 221.86/175.22 | (502) all_131_2_135 = all_0_2_2
% 221.86/175.22 |
% 221.86/175.22 | Simplifying 502 yields:
% 221.86/175.22 | (503) all_131_2_135 = all_0_2_2
% 221.86/175.22 |
% 221.86/175.22 | Combining equations (465,468) yields a new equation:
% 221.86/175.22 | (504) all_166_1_176 = all_133_1_140
% 221.86/175.22 |
% 221.86/175.22 | Simplifying 504 yields:
% 221.86/175.22 | (505) all_166_1_176 = all_133_1_140
% 221.86/175.22 |
% 221.86/175.22 | Combining equations (466,467) yields a new equation:
% 221.86/175.22 | (506) all_158_1_171 = zero
% 221.86/175.22 |
% 221.86/175.22 | Combining equations (505,467) yields a new equation:
% 221.86/175.22 | (507) all_158_1_171 = all_133_1_140
% 221.86/175.22 |
% 221.86/175.22 | Combining equations (506,507) yields a new equation:
% 221.86/175.22 | (508) all_133_1_140 = zero
% 221.86/175.22 |
% 221.86/175.22 | Combining equations (490,474) yields a new equation:
% 221.86/175.22 | (509) all_89_0_68 = all_38_0_20
% 221.86/175.22 |
% 221.86/175.22 | Simplifying 509 yields:
% 221.86/175.22 | (510) all_89_0_68 = all_38_0_20
% 221.86/175.22 |
% 221.86/175.22 | Combining equations (498,499) yields a new equation:
% 221.86/175.22 | (511) all_111_0_103 = all_49_1_36
% 221.86/175.22 |
% 221.86/175.22 | Simplifying 511 yields:
% 221.86/175.22 | (512) all_111_0_103 = all_49_1_36
% 221.86/175.22 |
% 221.86/175.22 | Combining equations (438,503) yields a new equation:
% 221.86/175.22 | (513) all_127_2_123 = all_0_2_2
% 221.86/175.22 |
% 221.86/175.22 | Simplifying 513 yields:
% 221.86/175.22 | (514) all_127_2_123 = all_0_2_2
% 221.86/175.22 |
% 221.86/175.22 | Combining equations (464,463) yields a new equation:
% 221.86/175.22 | (515) all_97_1_76 = all_0_2_2
% 221.86/175.22 |
% 221.86/175.22 | Simplifying 515 yields:
% 221.86/175.22 | (516) all_97_1_76 = all_0_2_2
% 221.86/175.22 |
% 221.86/175.22 | Combining equations (446,447) yields a new equation:
% 221.86/175.22 | (517) all_95_1_74 = all_20_1_18
% 221.86/175.22 |
% 221.86/175.22 | Combining equations (459,458) yields a new equation:
% 221.86/175.22 | (518) all_93_1_72 = all_20_0_17
% 221.86/175.22 |
% 221.86/175.22 | Simplifying 518 yields:
% 221.86/175.22 | (519) all_93_1_72 = all_20_0_17
% 221.86/175.22 |
% 221.86/175.22 | Combining equations (460,462) yields a new equation:
% 221.86/175.22 | (520) all_91_1_70 = all_80_1_51
% 221.86/175.22 |
% 221.86/175.22 | Simplifying 520 yields:
% 221.86/175.22 | (521) all_91_1_70 = all_80_1_51
% 221.86/175.22 |
% 221.86/175.22 | Combining equations (521,461) yields a new equation:
% 221.86/175.22 | (522) all_80_1_51 = all_20_1_18
% 221.86/175.22 |
% 221.86/175.22 | Simplifying 522 yields:
% 221.86/175.22 | (523) all_80_1_51 = all_20_1_18
% 221.86/175.22 |
% 221.86/175.22 | Combining equations (523,462) yields a new equation:
% 221.86/175.22 | (524) all_91_0_69 = all_20_1_18
% 221.86/175.22 |
% 221.86/175.22 | Combining equations (508,507) yields a new equation:
% 221.86/175.22 | (506) all_158_1_171 = zero
% 221.86/175.22 |
% 221.86/175.22 | Combining equations (436,441) yields a new equation:
% 221.86/175.22 | (526) all_168_1_178 = all_0_2_2
% 221.86/175.22 |
% 221.86/175.22 | Combining equations (488,454) yields a new equation:
% 221.86/175.22 | (527) all_169_1_181 = all_20_1_18
% 221.86/175.22 |
% 221.86/175.22 | Combining equations (499,495) yields a new equation:
% 221.86/175.22 | (497) all_175_0_193 = all_49_1_36
% 221.86/175.22 |
% 221.86/175.22 | Combining equations (497,449) yields a new equation:
% 221.86/175.22 | (448) all_178_1_199 = all_49_1_36
% 221.86/175.22 |
% 221.86/175.22 | Combining equations (491,481) yields a new equation:
% 221.86/175.22 | (482) all_190_0_222 = all_162_0_173
% 221.86/175.22 |
% 221.86/175.22 | From (435) and (412) follows:
% 221.86/175.22 | (422) strong_iteration(all_20_1_18) = all_110_2_102
% 221.86/175.22 |
% 221.86/175.22 | From (514) and (432) follows:
% 221.86/175.22 | (43) strong_iteration(one) = all_0_2_2
% 221.86/175.22 |
% 221.86/175.22 | From (527) and (427) follows:
% 221.86/175.22 | (533) leq(all_20_1_18, one) = 0
% 221.86/175.22 |
% 221.86/175.22 | From (526) and (403) follows:
% 221.86/175.22 | (219) leq(one, all_0_2_2) = 0
% 221.86/175.22 |
% 221.86/175.22 | From (488) and (428) follows:
% 221.86/175.22 | (52) star(one) = all_20_1_18
% 221.86/175.22 |
% 221.86/175.22 | From (503) and (419) follows:
% 221.86/175.22 | (536) multiplication(all_0_2_2, all_20_1_18) = all_131_1_134
% 221.86/175.22 |
% 221.86/175.22 | From (435) and (414) follows:
% 221.86/175.22 | (537) multiplication(all_110_2_102, all_38_0_20) = all_129_1_128
% 221.86/175.22 |
% 221.86/175.22 | From (514) and (434) follows:
% 221.86/175.22 | (538) multiplication(all_0_2_2, all_0_2_2) = all_127_1_122
% 221.86/175.22 |
% 221.86/175.22 | From (442) and (384) follows:
% 221.86/175.22 | (539) multiplication(all_20_0_17, one) = all_20_0_17
% 221.86/175.22 |
% 221.86/175.22 | From (501) and (276) follows:
% 221.86/175.22 | (100) multiplication(all_20_0_17, zero) = all_49_0_35
% 221.86/175.22 |
% 221.86/175.22 | From (517) and (258) follows:
% 221.86/175.22 | (142) multiplication(all_20_1_18, one) = all_20_1_18
% 221.86/175.22 |
% 221.86/175.22 | From (512) and (273) follows:
% 221.86/175.22 | (101) multiplication(all_20_1_18, zero) = all_49_1_36
% 221.86/175.22 |
% 221.86/175.22 | From (492) and (279) follows:
% 221.86/175.22 | (543) multiplication(all_0_2_2, zero) = all_49_0_35
% 221.86/175.22 |
% 221.86/175.22 | From (452) and (399) follows:
% 221.86/175.22 | (544) multiplication(all_0_2_2, one) = all_0_2_2
% 221.86/175.22 |
% 221.86/175.22 | From (453) and (329) follows:
% 221.86/175.22 | (53) multiplication(all_0_2_2, zero) = all_20_0_17
% 221.86/175.22 |
% 221.86/175.22 | From (455) and (362) follows:
% 221.86/175.22 | (546) multiplication(one, all_49_0_35) = all_49_0_35
% 221.86/175.22 |
% 221.86/175.22 | From (456) and (363) follows:
% 221.86/175.22 | (547) multiplication(one, all_49_1_36) = all_49_1_36
% 221.86/175.22 |
% 221.86/175.22 | From (457) and (237) follows:
% 221.86/175.22 | (548) multiplication(one, all_38_0_20) = all_38_0_20
% 221.86/175.22 |
% 221.86/175.22 | From (523) and (238) follows:
% 221.86/175.22 | (145) multiplication(one, all_20_1_18) = all_20_1_18
% 221.86/175.22 |
% 221.86/175.22 | From (516) and (262) follows:
% 221.86/175.22 | (63) multiplication(one, all_0_2_2) = all_0_2_2
% 221.86/175.22 |
% 221.86/175.22 | From (508) and (299) follows:
% 221.86/175.22 | (148) multiplication(one, zero) = zero
% 221.86/175.22 |
% 221.86/175.22 | From (492) and (280) follows:
% 221.86/175.22 | (552) multiplication(zero, zero) = zero
% 221.86/175.22 |
% 221.86/175.22 | From (482) and (372) follows:
% 221.86/175.22 | (553) addition(all_162_0_173, all_20_1_18) = all_44_0_29
% 221.86/175.22 |
% 221.86/175.22 | From (448) and (360) follows:
% 221.86/175.22 | (554) addition(all_49_1_36, all_178_0_198) = all_20_0_17
% 221.86/175.22 |
% 221.86/175.22 | From (493)(497) and (355) follows:
% 221.86/175.22 | (555) addition(all_49_0_35, all_49_1_36) = all_20_0_17
% 221.86/175.22 |
% 221.86/175.22 | From (484) and (333) follows:
% 221.86/175.22 | (556) addition(all_38_0_20, all_20_1_18) = all_0_2_2
% 221.86/175.22 |
% 221.86/175.22 | From (506)(453) and (331) follows:
% 221.86/175.22 | (557) addition(zero, all_20_0_17) = all_20_0_17
% 221.86/175.22 |
% 221.86/175.22 | From (477) and (314) follows:
% 221.86/175.22 | (558) addition(all_0_2_2, zero) = all_0_2_2
% 221.86/175.22 |
% 221.86/175.22 | From (472) and (305) follows:
% 221.86/175.22 | (559) addition(all_26_0_19, zero) = all_26_0_19
% 221.86/175.22 |
% 221.86/175.22 | From (508)(499) and (300) follows:
% 221.86/175.22 | (560) addition(zero, all_49_1_36) = all_49_1_36
% 221.86/175.22 |
% 221.86/175.22 | From (516)(463) and (263) follows:
% 221.86/175.22 | (561) addition(all_0_2_2, all_0_2_2) = all_0_2_2
% 221.86/175.22 |
% 221.86/175.22 | From (519)(458) and (255) follows:
% 221.86/175.22 | (562) addition(all_20_0_17, all_20_0_17) = all_20_0_17
% 221.86/175.22 |
% 221.86/175.22 | From (461)(524) and (251) follows:
% 221.86/175.22 | (563) addition(all_20_1_18, all_20_1_18) = all_20_1_18
% 221.86/175.22 |
% 221.86/175.22 | From (510) and (246) follows:
% 221.86/175.22 | (564) addition(all_38_0_20, one) = all_38_0_20
% 221.86/175.22 |
% 221.86/175.22 | From (471) and (308) follows:
% 221.86/175.22 | (565) addition(all_49_0_35, zero) = all_49_0_35
% 221.86/175.22 |
% 221.86/175.22 | From (471) and (309) follows:
% 221.86/175.22 | (102) addition(all_49_1_36, all_49_0_35) = all_20_0_17
% 221.86/175.22 |
% 221.86/175.22 | From (474) and (311) follows:
% 221.86/175.22 | (567) addition(all_44_0_29, all_38_0_20) = all_26_0_19
% 221.86/175.22 |
% 221.86/175.22 | From (472) and (306) follows:
% 221.86/175.22 | (93) addition(all_44_0_29, all_20_0_17) = all_26_0_19
% 221.86/175.22 |
% 221.86/175.22 | From (478) and (339) follows:
% 221.86/175.22 | (569) addition(all_20_0_17, all_44_0_29) = all_26_0_19
% 221.86/175.22 |
% 221.86/175.22 | From (479) and (282) follows:
% 221.86/175.22 | (72) addition(all_20_0_17, all_20_1_18) = all_0_2_2
% 221.86/175.22 |
% 221.86/175.22 | From (510) and (247) follows:
% 221.86/175.22 | (84) addition(all_20_0_17, one) = all_38_0_20
% 221.86/175.22 |
% 221.86/175.22 | From (477) and (315) follows:
% 221.86/175.22 | (54) addition(all_20_1_18, all_20_0_17) = all_0_2_2
% 221.86/175.22 |
% 221.86/175.22 | From (478) and (340) follows:
% 221.86/175.22 | (198) addition(all_20_1_18, all_0_1_1) = all_44_0_29
% 221.86/175.22 |
% 221.86/175.22 | From (479) and (283) follows:
% 221.86/175.22 | (213) addition(all_20_1_18, one) = all_20_1_18
% 221.86/175.22 |
% 221.86/175.22 | From (480) and (235) follows:
% 221.86/175.22 | (94) addition(all_0_1_1, all_20_1_18) = all_44_0_29
% 221.86/175.22 |
% 221.86/175.22 | From (491) and (348) follows:
% 221.86/175.22 | (337) addition(all_0_1_1, one) = all_162_0_173
% 221.86/175.22 |
% 221.86/175.22 | From (491) and (349) follows:
% 221.86/175.22 | (577) addition(all_0_2_2, all_162_0_173) = all_26_0_19
% 221.86/175.22 |
% 221.86/175.22 | From (483) and (265) follows:
% 221.86/175.22 | (74) addition(all_0_2_2, all_0_1_1) = all_26_0_19
% 221.86/175.22 |
% 221.86/175.22 | From (483) and (266) follows:
% 221.86/175.22 | (579) addition(one, all_26_0_19) = all_26_0_19
% 221.86/175.22 |
% 221.86/175.22 | From (484) and (334) follows:
% 221.86/175.22 | (181) addition(one, all_20_0_17) = all_38_0_20
% 221.86/175.22 |
% 221.86/175.22 | From (485) and (387) follows:
% 221.86/175.22 | (581) addition(zero, zero) = zero
% 221.86/175.22 |
% 221.86/175.22 +-Applying beta-rule and splitting (296), into two cases.
% 221.86/175.22 |-Branch one:
% 221.86/175.22 | (582) all_132_0_136 = 0 & leq(all_132_1_137, one) = 0 & star(one) = all_132_2_138 & multiplication(all_20_1_18, all_132_2_138) = all_132_1_137
% 221.86/175.22 |
% 221.86/175.22 | Applying alpha-rule on (582) yields:
% 221.86/175.22 | (583) all_132_0_136 = 0
% 221.86/175.22 | (584) leq(all_132_1_137, one) = 0
% 221.86/175.22 | (585) star(one) = all_132_2_138
% 221.86/175.22 | (586) multiplication(all_20_1_18, all_132_2_138) = all_132_1_137
% 221.86/175.22 |
% 221.86/175.22 +-Applying beta-rule and splitting (294), into two cases.
% 221.86/175.22 |-Branch one:
% 221.86/175.22 | (587) all_130_0_130 = 0 & leq(all_130_1_131, one) = 0 & star(one) = all_130_2_132 & multiplication(all_130_2_132, all_20_1_18) = all_130_1_131
% 221.86/175.22 |
% 221.86/175.22 | Applying alpha-rule on (587) yields:
% 221.86/175.22 | (588) all_130_0_130 = 0
% 221.86/175.22 | (589) leq(all_130_1_131, one) = 0
% 221.86/175.22 | (590) star(one) = all_130_2_132
% 221.86/175.22 | (591) multiplication(all_130_2_132, all_20_1_18) = all_130_1_131
% 221.86/175.22 |
% 221.86/175.22 | Instantiating formula (31) with one, all_132_2_138, all_20_1_18 and discharging atoms star(one) = all_132_2_138, star(one) = all_20_1_18, yields:
% 221.86/175.22 | (592) all_132_2_138 = all_20_1_18
% 221.86/175.22 |
% 221.86/175.22 | Instantiating formula (31) with one, all_130_2_132, all_132_2_138 and discharging atoms star(one) = all_132_2_138, star(one) = all_130_2_132, yields:
% 221.86/175.22 | (593) all_132_2_138 = all_130_2_132
% 221.86/175.22 |
% 221.86/175.22 | Instantiating formula (19) with all_0_2_2, zero, all_49_0_35, all_20_0_17 and discharging atoms multiplication(all_0_2_2, zero) = all_49_0_35, multiplication(all_0_2_2, zero) = all_20_0_17, yields:
% 221.86/175.22 | (594) all_49_0_35 = all_20_0_17
% 221.86/175.22 |
% 221.86/175.22 | Instantiating formula (36) with all_38_0_20, one, all_38_0_20, all_75_0_45 and discharging atoms addition(all_38_0_20, one) = all_75_0_45, addition(all_38_0_20, one) = all_38_0_20, yields:
% 221.86/175.22 | (595) all_75_0_45 = all_38_0_20
% 221.86/175.22 |
% 221.86/175.22 | Combining equations (593,592) yields a new equation:
% 221.86/175.22 | (596) all_130_2_132 = all_20_1_18
% 221.86/175.22 |
% 221.86/175.22 | Simplifying 596 yields:
% 221.86/175.22 | (597) all_130_2_132 = all_20_1_18
% 221.86/175.22 |
% 221.86/175.22 | From (597) and (590) follows:
% 221.86/175.22 | (52) star(one) = all_20_1_18
% 221.86/175.22 |
% 221.86/175.22 | From (597) and (591) follows:
% 221.86/175.22 | (599) multiplication(all_20_1_18, all_20_1_18) = all_130_1_131
% 221.86/175.22 |
% 221.86/175.22 | From (594) and (379) follows:
% 221.86/175.22 | (600) multiplication(all_20_0_17, zero) = all_195_0_227
% 221.86/175.23 |
% 221.86/175.23 | From (594) and (100) follows:
% 221.86/175.23 | (601) multiplication(all_20_0_17, zero) = all_20_0_17
% 221.86/175.23 |
% 221.86/175.23 | From (592) and (586) follows:
% 221.86/175.23 | (602) multiplication(all_20_1_18, all_20_1_18) = all_132_1_137
% 221.86/175.23 |
% 221.86/175.23 | From (594) and (543) follows:
% 221.86/175.23 | (53) multiplication(all_0_2_2, zero) = all_20_0_17
% 221.86/175.23 |
% 221.86/175.23 | From (594)(594) and (546) follows:
% 221.86/175.23 | (144) multiplication(one, all_20_0_17) = all_20_0_17
% 221.86/175.23 |
% 221.86/175.23 | From (594) and (381) follows:
% 221.86/175.23 | (605) addition(all_195_1_228, all_195_0_227) = all_20_0_17
% 221.86/175.23 |
% 221.86/175.23 | From (594) and (302) follows:
% 221.86/175.23 | (606) addition(all_135_0_141, all_20_0_17) = all_26_0_19
% 221.86/175.23 |
% 221.86/175.23 | From (594) and (242) follows:
% 221.86/175.23 | (607) addition(all_85_0_61, all_20_0_17) = all_0_2_2
% 221.86/175.23 |
% 221.86/175.23 | From (594) and (555) follows:
% 221.86/175.23 | (608) addition(all_20_0_17, all_49_1_36) = all_20_0_17
% 221.86/175.23 |
% 221.86/175.23 | From (594) and (268) follows:
% 221.86/175.23 | (609) addition(all_20_0_17, all_20_1_18) = all_103_0_84
% 221.86/175.23 |
% 221.86/175.23 | From (594) and (288) follows:
% 221.86/175.23 | (610) addition(all_20_0_17, one) = all_122_0_111
% 221.86/175.23 |
% 221.86/175.23 | From (594)(594) and (565) follows:
% 221.86/175.23 | (150) addition(all_20_0_17, zero) = all_20_0_17
% 221.86/175.23 |
% 221.86/175.23 | From (594) and (102) follows:
% 221.86/175.23 | (612) addition(all_49_1_36, all_20_0_17) = all_20_0_17
% 221.86/175.23 |
% 221.86/175.23 | From (595) and (231) follows:
% 221.86/175.23 | (564) addition(all_38_0_20, one) = all_38_0_20
% 221.86/175.23 |
% 221.86/175.23 | From (595) and (232) follows:
% 221.86/175.23 | (85) addition(all_20_1_18, all_38_0_20) = all_0_2_2
% 221.86/175.23 |
% 221.86/175.23 | Instantiating formula (19) with all_20_0_17, zero, all_20_0_17, all_195_0_227 and discharging atoms multiplication(all_20_0_17, zero) = all_195_0_227, multiplication(all_20_0_17, zero) = all_20_0_17, yields:
% 221.86/175.23 | (615) all_195_0_227 = all_20_0_17
% 221.86/175.23 |
% 221.86/175.23 | Instantiating formula (19) with all_20_1_18, all_20_1_18, all_130_1_131, all_132_1_137 and discharging atoms multiplication(all_20_1_18, all_20_1_18) = all_132_1_137, multiplication(all_20_1_18, all_20_1_18) = all_130_1_131, yields:
% 221.86/175.23 | (616) all_132_1_137 = all_130_1_131
% 221.86/175.23 |
% 221.86/175.23 | Instantiating formula (36) with all_20_0_17, all_20_1_18, all_103_0_84, all_0_2_2 and discharging atoms addition(all_20_0_17, all_20_1_18) = all_103_0_84, addition(all_20_0_17, all_20_1_18) = all_0_2_2, yields:
% 221.86/175.23 | (617) all_103_0_84 = all_0_2_2
% 221.86/175.23 |
% 221.86/175.23 | Instantiating formula (36) with all_20_0_17, one, all_122_0_111, all_38_0_20 and discharging atoms addition(all_20_0_17, one) = all_122_0_111, addition(all_20_0_17, one) = all_38_0_20, yields:
% 221.86/175.23 | (618) all_122_0_111 = all_38_0_20
% 221.86/175.23 |
% 221.86/175.23 | From (616) and (584) follows:
% 221.86/175.23 | (589) leq(all_130_1_131, one) = 0
% 221.86/175.23 |
% 221.86/175.23 | From (615) and (600) follows:
% 221.86/175.23 | (601) multiplication(all_20_0_17, zero) = all_20_0_17
% 221.86/175.23 |
% 221.86/175.23 | From (616) and (602) follows:
% 221.86/175.23 | (599) multiplication(all_20_1_18, all_20_1_18) = all_130_1_131
% 221.86/175.23 |
% 221.86/175.23 | From (615) and (605) follows:
% 221.86/175.23 | (622) addition(all_195_1_228, all_20_0_17) = all_20_0_17
% 221.86/175.23 |
% 221.86/175.23 | From (618) and (289) follows:
% 221.86/175.23 | (623) addition(all_49_1_36, all_38_0_20) = all_38_0_20
% 221.86/175.23 |
% 221.86/175.23 | From (617) and (269) follows:
% 221.86/175.23 | (624) addition(all_49_1_36, all_0_2_2) = all_0_2_2
% 221.86/175.23 |
% 221.86/175.23 | From (617) and (609) follows:
% 221.86/175.23 | (72) addition(all_20_0_17, all_20_1_18) = all_0_2_2
% 221.86/175.23 |
% 221.86/175.23 | From (618) and (610) follows:
% 221.86/175.23 | (84) addition(all_20_0_17, one) = all_38_0_20
% 221.86/175.23 |
% 221.86/175.23 | Instantiating formula (42) with all_110_2_102, all_20_1_18 and discharging atoms strong_iteration(all_20_1_18) = all_110_2_102, yields:
% 221.86/175.23 | (627) ? [v0] : ? [v1] : (star(all_20_1_18) = v0 & multiplication(all_110_2_102, zero) = v1 & addition(v0, v1) = all_110_2_102)
% 221.86/175.23 |
% 221.86/175.23 | Instantiating formula (17) with one, all_20_1_18 and discharging atoms leq(all_20_1_18, one) = 0, yields:
% 221.86/175.23 | (628) addition(all_20_1_18, one) = one
% 221.86/175.23 |
% 221.86/175.23 | Instantiating formula (17) with all_110_1_101, one and discharging atoms leq(one, all_110_1_101) = 0, yields:
% 221.86/175.23 | (629) addition(one, all_110_1_101) = all_110_1_101
% 221.86/175.23 |
% 221.86/175.23 | Instantiating formula (12) with all_129_1_128, all_38_0_20, one, all_20_0_17, all_110_2_102 and discharging atoms multiplication(all_110_2_102, all_38_0_20) = all_129_1_128, addition(all_20_0_17, one) = all_38_0_20, yields:
% 222.04/175.23 | (630) ? [v0] : ? [v1] : (multiplication(all_110_2_102, all_20_0_17) = v0 & multiplication(all_110_2_102, one) = v1 & addition(v0, v1) = all_129_1_128)
% 222.04/175.23 |
% 222.04/175.23 | Instantiating formula (26) with all_110_1_101, all_20_0_17, zero, all_0_2_2, all_110_2_102 and discharging atoms multiplication(all_110_2_102, all_20_0_17) = all_110_1_101, multiplication(all_0_2_2, zero) = all_20_0_17, yields:
% 222.04/175.23 | (631) ? [v0] : (multiplication(v0, zero) = all_110_1_101 & multiplication(all_110_2_102, all_0_2_2) = v0)
% 222.04/175.23 |
% 222.04/175.23 | Instantiating formula (26) with all_110_1_101, all_20_0_17, all_20_0_17, one, all_110_2_102 and discharging atoms multiplication(all_110_2_102, all_20_0_17) = all_110_1_101, multiplication(one, all_20_0_17) = all_20_0_17, yields:
% 222.04/175.23 | (632) ? [v0] : (multiplication(v0, all_20_0_17) = all_110_1_101 & multiplication(all_110_2_102, one) = v0)
% 222.04/175.23 |
% 222.04/175.23 | Instantiating formula (12) with all_110_1_101, all_20_0_17, zero, all_20_0_17, all_110_2_102 and discharging atoms multiplication(all_110_2_102, all_20_0_17) = all_110_1_101, addition(all_20_0_17, zero) = all_20_0_17, yields:
% 222.04/175.23 | (633) ? [v0] : ? [v1] : (multiplication(all_110_2_102, all_20_0_17) = v0 & multiplication(all_110_2_102, zero) = v1 & addition(v0, v1) = all_110_1_101)
% 222.04/175.23 |
% 222.04/175.23 | Instantiating formula (13) with all_195_1_228, all_49_1_36, zero, zero, all_20_1_18 and discharging atoms multiplication(all_49_1_36, zero) = all_195_1_228, multiplication(all_20_1_18, zero) = all_49_1_36, yields:
% 222.04/175.23 | (634) ? [v0] : (multiplication(all_20_1_18, v0) = all_195_1_228 & multiplication(zero, zero) = v0)
% 222.04/175.23 |
% 222.04/175.23 | Instantiating formula (22) with all_178_0_198, all_38_0_20, zero, one, all_20_0_17 and discharging atoms multiplication(all_38_0_20, zero) = all_178_0_198, addition(all_20_0_17, one) = all_38_0_20, yields:
% 222.04/175.23 | (635) ? [v0] : ? [v1] : (multiplication(all_20_0_17, zero) = v0 & multiplication(one, zero) = v1 & addition(v0, v1) = all_178_0_198)
% 222.04/175.23 |
% 222.04/175.23 | Instantiating formula (13) with all_20_0_17, all_20_0_17, one, zero, all_0_2_2 and discharging atoms multiplication(all_20_0_17, one) = all_20_0_17, multiplication(all_0_2_2, zero) = all_20_0_17, yields:
% 222.04/175.23 | (636) ? [v0] : (multiplication(all_0_2_2, v0) = all_20_0_17 & multiplication(zero, one) = v0)
% 222.04/175.23 |
% 222.04/175.23 | Instantiating formula (27) with all_38_0_20, one, all_20_0_17, one, one, all_20_0_17 and discharging atoms multiplication(all_20_0_17, one) = all_20_0_17, multiplication(one, one) = one, addition(all_20_0_17, one) = all_38_0_20, yields:
% 222.04/175.23 | (637) ? [v0] : (multiplication(v0, one) = all_38_0_20 & addition(all_20_0_17, one) = v0)
% 222.04/175.23 |
% 222.04/175.23 | Instantiating formula (26) with all_110_1_101, all_20_0_17, one, all_20_0_17, all_110_2_102 and discharging atoms multiplication(all_110_2_102, all_20_0_17) = all_110_1_101, multiplication(all_20_0_17, one) = all_20_0_17, yields:
% 222.04/175.23 | (638) ? [v0] : (multiplication(v0, one) = all_110_1_101 & multiplication(all_110_2_102, all_20_0_17) = v0)
% 222.04/175.23 |
% 222.04/175.23 | Instantiating formula (18) with all_0_2_2, all_20_0_17, all_20_0_17, all_20_1_18, one and discharging atoms multiplication(all_20_0_17, one) = all_20_0_17, addition(all_20_0_17, all_20_1_18) = all_0_2_2, yields:
% 222.04/175.23 | (639) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, all_20_0_17) = 0 & star(one) = v0 & multiplication(all_20_1_18, v0) = v1) | ( ~ (v0 = 0) & leq(all_0_2_2, all_20_0_17) = v0))
% 222.04/175.23 |
% 222.04/175.23 | Instantiating formula (18) with all_38_0_20, all_20_0_17, all_20_0_17, one, one and discharging atoms multiplication(all_20_0_17, one) = all_20_0_17, addition(all_20_0_17, one) = all_38_0_20, yields:
% 222.04/175.23 | (640) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, all_20_0_17) = 0 & star(one) = v0 & multiplication(one, v0) = v1) | ( ~ (v0 = 0) & leq(all_38_0_20, all_20_0_17) = v0))
% 222.04/175.23 |
% 222.04/175.23 | Instantiating formula (18) with all_20_0_17, all_20_0_17, all_20_0_17, zero, one and discharging atoms multiplication(all_20_0_17, one) = all_20_0_17, addition(all_20_0_17, zero) = all_20_0_17, yields:
% 222.04/175.23 | (641) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, all_20_0_17) = 0 & star(one) = v0 & multiplication(zero, v0) = v1) | ( ~ (v0 = 0) & leq(all_20_0_17, all_20_0_17) = v0))
% 222.04/175.23 |
% 222.04/175.23 | Instantiating formula (22) with all_20_0_17, all_20_0_17, one, zero, all_20_0_17 and discharging atoms multiplication(all_20_0_17, one) = all_20_0_17, addition(all_20_0_17, zero) = all_20_0_17, yields:
% 222.04/175.23 | (642) ? [v0] : ? [v1] : (multiplication(all_20_0_17, one) = v0 & multiplication(zero, one) = v1 & addition(v0, v1) = all_20_0_17)
% 222.04/175.23 |
% 222.04/175.23 | Instantiating formula (27) with all_20_0_17, zero, all_20_0_17, zero, one, all_20_0_17 and discharging atoms multiplication(all_20_0_17, zero) = all_20_0_17, multiplication(one, zero) = zero, addition(all_20_0_17, zero) = all_20_0_17, yields:
% 222.04/175.23 | (643) ? [v0] : (multiplication(v0, zero) = all_20_0_17 & addition(all_20_0_17, one) = v0)
% 222.04/175.23 |
% 222.04/175.23 | Instantiating formula (26) with all_110_1_101, all_20_0_17, zero, all_20_0_17, all_110_2_102 and discharging atoms multiplication(all_110_2_102, all_20_0_17) = all_110_1_101, multiplication(all_20_0_17, zero) = all_20_0_17, yields:
% 222.04/175.23 | (644) ? [v0] : (multiplication(v0, zero) = all_110_1_101 & multiplication(all_110_2_102, all_20_0_17) = v0)
% 222.04/175.23 |
% 222.04/175.23 | Instantiating formula (13) with all_20_0_17, all_20_0_17, one, zero, all_20_0_17 and discharging atoms multiplication(all_20_0_17, one) = all_20_0_17, multiplication(all_20_0_17, zero) = all_20_0_17, yields:
% 222.04/175.23 | (645) ? [v0] : (multiplication(all_20_0_17, v0) = all_20_0_17 & multiplication(zero, one) = v0)
% 222.04/175.23 |
% 222.04/175.23 | Instantiating formula (18) with all_0_2_2, all_20_0_17, all_20_0_17, all_20_1_18, zero and discharging atoms multiplication(all_20_0_17, zero) = all_20_0_17, addition(all_20_0_17, all_20_1_18) = all_0_2_2, yields:
% 222.04/175.23 | (646) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, all_20_0_17) = 0 & star(zero) = v0 & multiplication(all_20_1_18, v0) = v1) | ( ~ (v0 = 0) & leq(all_0_2_2, all_20_0_17) = v0))
% 222.04/175.23 |
% 222.04/175.23 | Instantiating formula (18) with all_38_0_20, all_20_0_17, all_20_0_17, one, zero and discharging atoms multiplication(all_20_0_17, zero) = all_20_0_17, addition(all_20_0_17, one) = all_38_0_20, yields:
% 222.04/175.23 | (647) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, all_20_0_17) = 0 & star(zero) = v0 & multiplication(one, v0) = v1) | ( ~ (v0 = 0) & leq(all_38_0_20, all_20_0_17) = v0))
% 222.04/175.23 |
% 222.04/175.23 | Instantiating formula (18) with all_20_0_17, all_20_0_17, all_20_0_17, zero, zero and discharging atoms multiplication(all_20_0_17, zero) = all_20_0_17, addition(all_20_0_17, zero) = all_20_0_17, yields:
% 222.04/175.23 | (648) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, all_20_0_17) = 0 & star(zero) = v0 & multiplication(zero, v0) = v1) | ( ~ (v0 = 0) & leq(all_20_0_17, all_20_0_17) = v0))
% 222.04/175.23 |
% 222.04/175.23 | Instantiating formula (26) with all_130_1_131, all_20_1_18, one, all_20_1_18, all_20_1_18 and discharging atoms multiplication(all_20_1_18, all_20_1_18) = all_130_1_131, multiplication(all_20_1_18, one) = all_20_1_18, yields:
% 222.04/175.23 | (649) ? [v0] : (multiplication(v0, one) = all_130_1_131 & multiplication(all_20_1_18, all_20_1_18) = v0)
% 222.04/175.23 |
% 222.04/175.23 | Instantiating formula (13) with all_130_1_131, all_20_1_18, all_20_1_18, all_20_1_18, one and discharging atoms multiplication(all_20_1_18, all_20_1_18) = all_130_1_131, multiplication(one, all_20_1_18) = all_20_1_18, yields:
% 222.04/175.23 | (650) ? [v0] : (multiplication(all_20_1_18, all_20_1_18) = v0 & multiplication(one, v0) = all_130_1_131)
% 222.04/175.23 |
% 222.04/175.23 | Instantiating formula (22) with all_130_1_131, all_20_1_18, all_20_1_18, all_20_1_18, one and discharging atoms multiplication(all_20_1_18, all_20_1_18) = all_130_1_131, addition(one, all_20_1_18) = all_20_1_18, yields:
% 222.04/175.23 | (651) ? [v0] : ? [v1] : (multiplication(all_20_1_18, all_20_1_18) = v1 & multiplication(one, all_20_1_18) = v0 & addition(v0, v1) = all_130_1_131)
% 222.04/175.23 |
% 222.04/175.23 | Instantiating formula (12) with all_130_1_131, all_20_1_18, all_20_1_18, one, all_20_1_18 and discharging atoms multiplication(all_20_1_18, all_20_1_18) = all_130_1_131, addition(one, all_20_1_18) = all_20_1_18, yields:
% 222.04/175.23 | (652) ? [v0] : ? [v1] : (multiplication(all_20_1_18, all_20_1_18) = v1 & multiplication(all_20_1_18, one) = v0 & addition(v0, v1) = all_130_1_131)
% 222.04/175.23 |
% 222.04/175.23 | Instantiating formula (26) with all_131_1_134, all_20_1_18, one, all_20_1_18, all_0_2_2 and discharging atoms multiplication(all_20_1_18, one) = all_20_1_18, multiplication(all_0_2_2, all_20_1_18) = all_131_1_134, yields:
% 222.04/175.23 | (653) ? [v0] : (multiplication(v0, one) = all_131_1_134 & multiplication(all_0_2_2, all_20_1_18) = v0)
% 222.04/175.23 |
% 222.04/175.23 | Instantiating formula (13) with all_131_1_134, all_0_2_2, all_20_1_18, all_0_2_2, one and discharging atoms multiplication(all_0_2_2, all_20_1_18) = all_131_1_134, multiplication(one, all_0_2_2) = all_0_2_2, yields:
% 222.04/175.23 | (654) ? [v0] : (multiplication(all_0_2_2, all_20_1_18) = v0 & multiplication(one, v0) = all_131_1_134)
% 222.04/175.23 |
% 222.04/175.23 | Instantiating formula (22) with all_131_1_134, all_0_2_2, all_20_1_18, all_20_1_18, all_20_0_17 and discharging atoms multiplication(all_0_2_2, all_20_1_18) = all_131_1_134, addition(all_20_0_17, all_20_1_18) = all_0_2_2, yields:
% 222.04/175.23 | (655) ? [v0] : ? [v1] : (multiplication(all_20_0_17, all_20_1_18) = v0 & multiplication(all_20_1_18, all_20_1_18) = v1 & addition(v0, v1) = all_131_1_134)
% 222.04/175.23 |
% 222.04/175.23 | Instantiating formula (22) with all_131_1_134, all_0_2_2, all_20_1_18, all_38_0_20, all_20_1_18 and discharging atoms multiplication(all_0_2_2, all_20_1_18) = all_131_1_134, addition(all_20_1_18, all_38_0_20) = all_0_2_2, yields:
% 222.04/175.23 | (656) ? [v0] : ? [v1] : (multiplication(all_38_0_20, all_20_1_18) = v1 & multiplication(all_20_1_18, all_20_1_18) = v0 & addition(v0, v1) = all_131_1_134)
% 222.04/175.23 |
% 222.04/175.23 | Instantiating formula (22) with all_131_1_134, all_0_2_2, all_20_1_18, all_20_0_17, all_20_1_18 and discharging atoms multiplication(all_0_2_2, all_20_1_18) = all_131_1_134, addition(all_20_1_18, all_20_0_17) = all_0_2_2, yields:
% 222.04/175.23 | (657) ? [v0] : ? [v1] : (multiplication(all_20_0_17, all_20_1_18) = v1 & multiplication(all_20_1_18, all_20_1_18) = v0 & addition(v0, v1) = all_131_1_134)
% 222.07/175.23 |
% 222.07/175.24 | Instantiating formula (22) with all_131_1_134, all_0_2_2, all_20_1_18, one, all_0_2_2 and discharging atoms multiplication(all_0_2_2, all_20_1_18) = all_131_1_134, addition(all_0_2_2, one) = all_0_2_2, yields:
% 222.07/175.24 | (658) ? [v0] : ? [v1] : (multiplication(all_0_2_2, all_20_1_18) = v0 & multiplication(one, all_20_1_18) = v1 & addition(v0, v1) = all_131_1_134)
% 222.07/175.24 |
% 222.07/175.24 | Instantiating formula (12) with all_131_1_134, all_20_1_18, all_20_1_18, one, all_0_2_2 and discharging atoms multiplication(all_0_2_2, all_20_1_18) = all_131_1_134, addition(one, all_20_1_18) = all_20_1_18, yields:
% 222.07/175.24 | (659) ? [v0] : ? [v1] : (multiplication(all_0_2_2, all_20_1_18) = v1 & multiplication(all_0_2_2, one) = v0 & addition(v0, v1) = all_131_1_134)
% 222.07/175.24 |
% 222.07/175.24 | Instantiating formula (22) with all_131_1_134, all_0_2_2, all_20_1_18, all_0_2_2, one and discharging atoms multiplication(all_0_2_2, all_20_1_18) = all_131_1_134, addition(one, all_0_2_2) = all_0_2_2, yields:
% 222.07/175.24 | (660) ? [v0] : ? [v1] : (multiplication(all_0_2_2, all_20_1_18) = v1 & multiplication(one, all_20_1_18) = v0 & addition(v0, v1) = all_131_1_134)
% 222.07/175.24 |
% 222.07/175.24 | Instantiating formula (13) with all_127_1_122, all_0_2_2, all_0_2_2, all_0_2_2, one and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_127_1_122, multiplication(one, all_0_2_2) = all_0_2_2, yields:
% 222.07/175.24 | (661) ? [v0] : (multiplication(all_0_2_2, all_0_2_2) = v0 & multiplication(one, v0) = all_127_1_122)
% 222.07/175.24 |
% 222.07/175.24 | Instantiating formula (22) with all_127_1_122, all_0_2_2, all_0_2_2, all_20_1_18, all_20_0_17 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_127_1_122, addition(all_20_0_17, all_20_1_18) = all_0_2_2, yields:
% 222.07/175.24 | (662) ? [v0] : ? [v1] : (multiplication(all_20_0_17, all_0_2_2) = v0 & multiplication(all_20_1_18, all_0_2_2) = v1 & addition(v0, v1) = all_127_1_122)
% 222.07/175.24 |
% 222.07/175.24 | Instantiating formula (12) with all_127_1_122, all_0_2_2, all_20_1_18, all_20_0_17, all_0_2_2 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_127_1_122, addition(all_20_0_17, all_20_1_18) = all_0_2_2, yields:
% 222.07/175.24 | (663) ? [v0] : ? [v1] : (multiplication(all_0_2_2, all_20_0_17) = v0 & multiplication(all_0_2_2, all_20_1_18) = v1 & addition(v0, v1) = all_127_1_122)
% 222.07/175.24 |
% 222.07/175.24 | Instantiating formula (12) with all_127_1_122, all_0_2_2, all_38_0_20, all_20_1_18, all_0_2_2 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_127_1_122, addition(all_20_1_18, all_38_0_20) = all_0_2_2, yields:
% 222.07/175.24 | (664) ? [v0] : ? [v1] : (multiplication(all_0_2_2, all_38_0_20) = v1 & multiplication(all_0_2_2, all_20_1_18) = v0 & addition(v0, v1) = all_127_1_122)
% 222.07/175.24 |
% 222.07/175.24 | Instantiating formula (22) with all_127_1_122, all_0_2_2, all_0_2_2, all_20_0_17, all_20_1_18 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_127_1_122, addition(all_20_1_18, all_20_0_17) = all_0_2_2, yields:
% 222.07/175.24 | (665) ? [v0] : ? [v1] : (multiplication(all_20_0_17, all_0_2_2) = v1 & multiplication(all_20_1_18, all_0_2_2) = v0 & addition(v0, v1) = all_127_1_122)
% 222.07/175.24 |
% 222.07/175.24 | Instantiating formula (12) with all_127_1_122, all_0_2_2, all_20_0_17, all_20_1_18, all_0_2_2 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_127_1_122, addition(all_20_1_18, all_20_0_17) = all_0_2_2, yields:
% 222.07/175.24 | (666) ? [v0] : ? [v1] : (multiplication(all_0_2_2, all_20_0_17) = v1 & multiplication(all_0_2_2, all_20_1_18) = v0 & addition(v0, v1) = all_127_1_122)
% 222.07/175.24 |
% 222.07/175.24 | Instantiating formula (22) with all_127_1_122, all_0_2_2, all_0_2_2, one, all_0_2_2 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_127_1_122, addition(all_0_2_2, one) = all_0_2_2, yields:
% 222.07/175.24 | (667) ? [v0] : ? [v1] : (multiplication(all_0_2_2, all_0_2_2) = v0 & multiplication(one, all_0_2_2) = v1 & addition(v0, v1) = all_127_1_122)
% 222.07/175.24 |
% 222.07/175.24 | Instantiating formula (12) with all_127_1_122, all_0_2_2, one, all_0_2_2, all_0_2_2 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_127_1_122, addition(all_0_2_2, one) = all_0_2_2, yields:
% 222.07/175.24 | (668) ? [v0] : ? [v1] : (multiplication(all_0_2_2, all_0_2_2) = v0 & multiplication(all_0_2_2, one) = v1 & addition(v0, v1) = all_127_1_122)
% 222.07/175.24 |
% 222.07/175.24 | Instantiating formula (22) with all_127_1_122, all_0_2_2, all_0_2_2, all_0_2_2, one and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_127_1_122, addition(one, all_0_2_2) = all_0_2_2, yields:
% 222.07/175.24 | (669) ? [v0] : ? [v1] : (multiplication(all_0_2_2, all_0_2_2) = v1 & multiplication(one, all_0_2_2) = v0 & addition(v0, v1) = all_127_1_122)
% 222.07/175.24 |
% 222.07/175.24 | Instantiating formula (12) with all_127_1_122, all_0_2_2, all_0_2_2, one, all_0_2_2 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_127_1_122, addition(one, all_0_2_2) = all_0_2_2, yields:
% 222.07/175.24 | (670) ? [v0] : ? [v1] : (multiplication(all_0_2_2, all_0_2_2) = v1 & multiplication(all_0_2_2, one) = v0 & addition(v0, v1) = all_127_1_122)
% 222.07/175.24 |
% 222.07/175.24 | Instantiating formula (24) with all_0_0_0, all_0_2_2, all_0_2_2, all_0_1_1, one, one and discharging atoms strong_iteration(one) = all_0_2_2, leq(all_0_1_1, all_0_2_2) = all_0_0_0, multiplication(all_0_2_2, one) = all_0_2_2, yields:
% 222.07/175.24 | (671) all_0_0_0 = 0 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = 0) & leq(all_0_1_1, v1) = v2 & multiplication(one, all_0_1_1) = v0 & addition(v0, one) = v1)
% 222.07/175.24 |
% 222.07/175.24 | Instantiating formula (26) with all_127_1_122, all_0_2_2, one, all_0_2_2, all_0_2_2 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_127_1_122, multiplication(all_0_2_2, one) = all_0_2_2, yields:
% 222.07/175.24 | (672) ? [v0] : (multiplication(v0, one) = all_127_1_122 & multiplication(all_0_2_2, all_0_2_2) = v0)
% 222.07/175.24 |
% 222.07/175.24 | Instantiating formula (22) with all_0_2_2, all_0_2_2, one, all_38_0_20, all_20_1_18 and discharging atoms multiplication(all_0_2_2, one) = all_0_2_2, addition(all_20_1_18, all_38_0_20) = all_0_2_2, yields:
% 222.07/175.24 | (673) ? [v0] : ? [v1] : (multiplication(all_38_0_20, one) = v1 & multiplication(all_20_1_18, one) = v0 & addition(v0, v1) = all_0_2_2)
% 222.07/175.24 |
% 222.07/175.24 | Instantiating formula (18) with all_0_2_2, all_0_2_2, all_0_2_2, one, one and discharging atoms multiplication(all_0_2_2, one) = all_0_2_2, addition(all_0_2_2, one) = all_0_2_2, yields:
% 222.07/175.24 | (674) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, all_0_2_2) = 0 & star(one) = v0 & multiplication(one, v0) = v1) | ( ~ (v0 = 0) & leq(all_0_2_2, all_0_2_2) = v0))
% 222.07/175.24 |
% 222.07/175.24 | Instantiating formula (26) with all_129_1_128, all_38_0_20, all_38_0_20, one, all_110_2_102 and discharging atoms multiplication(all_110_2_102, all_38_0_20) = all_129_1_128, multiplication(one, all_38_0_20) = all_38_0_20, yields:
% 222.07/175.24 | (675) ? [v0] : (multiplication(v0, all_38_0_20) = all_129_1_128 & multiplication(all_110_2_102, one) = v0)
% 222.07/175.24 |
% 222.07/175.24 | Instantiating formula (26) with all_49_1_36, zero, zero, zero, all_20_1_18 and discharging atoms multiplication(all_20_1_18, zero) = all_49_1_36, multiplication(zero, zero) = zero, yields:
% 222.07/175.24 | (676) ? [v0] : (multiplication(v0, zero) = all_49_1_36 & multiplication(all_20_1_18, zero) = v0)
% 222.07/175.24 |
% 222.07/175.24 | Instantiating formula (26) with zero, zero, zero, one, zero and discharging atoms multiplication(one, zero) = zero, multiplication(zero, zero) = zero, yields:
% 222.07/175.24 | (677) ? [v0] : (multiplication(v0, zero) = zero & multiplication(zero, one) = v0)
% 222.07/175.24 |
% 222.07/175.24 | Instantiating formula (12) with all_110_1_101, all_20_0_17, all_20_0_17, all_195_1_228, all_110_2_102 and discharging atoms multiplication(all_110_2_102, all_20_0_17) = all_110_1_101, addition(all_195_1_228, all_20_0_17) = all_20_0_17, yields:
% 222.07/175.24 | (678) ? [v0] : ? [v1] : (multiplication(all_110_2_102, all_195_1_228) = v0 & multiplication(all_110_2_102, all_20_0_17) = v1 & addition(v0, v1) = all_110_1_101)
% 222.07/175.24 |
% 222.07/175.24 | Instantiating formula (23) with all_20_0_17, all_195_1_228, zero, all_20_0_17, all_49_1_36 and discharging atoms multiplication(all_49_1_36, zero) = all_195_1_228, addition(all_195_1_228, all_20_0_17) = all_20_0_17, yields:
% 222.07/175.24 | (679) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(all_49_1_36) = v0 & leq(zero, v1) = 0 & multiplication(v0, all_20_0_17) = v1) | ( ~ (v0 = 0) & leq(zero, all_20_0_17) = v0))
% 222.07/175.24 |
% 222.07/175.24 | Instantiating formula (22) with all_20_0_17, all_20_0_17, zero, all_20_0_17, all_195_1_228 and discharging atoms multiplication(all_20_0_17, zero) = all_20_0_17, addition(all_195_1_228, all_20_0_17) = all_20_0_17, yields:
% 222.07/175.24 | (680) ? [v0] : ? [v1] : (multiplication(all_195_1_228, zero) = v0 & multiplication(all_20_0_17, zero) = v1 & addition(v0, v1) = all_20_0_17)
% 222.07/175.24 |
% 222.07/175.24 | Instantiating formula (9) with all_0_2_2, all_20_0_17, all_195_1_228, all_20_0_17, all_20_1_18 and discharging atoms addition(all_195_1_228, all_20_0_17) = all_20_0_17, addition(all_20_0_17, all_20_1_18) = all_0_2_2, yields:
% 222.07/175.24 | (681) ? [v0] : (addition(all_195_1_228, v0) = all_0_2_2 & addition(all_20_0_17, all_20_1_18) = v0)
% 222.07/175.24 |
% 222.07/175.24 | Instantiating formula (9) with all_38_0_20, all_20_0_17, all_195_1_228, all_20_0_17, one and discharging atoms addition(all_195_1_228, all_20_0_17) = all_20_0_17, addition(all_20_0_17, one) = all_38_0_20, yields:
% 222.07/175.24 | (682) ? [v0] : (addition(all_195_1_228, v0) = all_38_0_20 & addition(all_20_0_17, one) = v0)
% 222.07/175.24 |
% 222.07/175.24 | Instantiating formula (14) with all_0_2_2, all_20_0_17, all_20_1_18, all_195_1_228, all_20_0_17 and discharging atoms addition(all_195_1_228, all_20_0_17) = all_20_0_17, addition(all_20_1_18, all_20_0_17) = all_0_2_2, yields:
% 222.07/175.24 | (683) ? [v0] : (addition(v0, all_20_0_17) = all_0_2_2 & addition(all_20_1_18, all_195_1_228) = v0)
% 222.07/175.24 |
% 222.07/175.24 | Instantiating formula (38) with all_44_0_29, all_162_0_173, all_20_1_18 and discharging atoms addition(all_162_0_173, all_20_1_18) = all_44_0_29, yields:
% 222.07/175.24 | (684) addition(all_20_1_18, all_162_0_173) = all_44_0_29
% 222.07/175.24 |
% 222.07/175.24 | Instantiating formula (21) with all_26_0_19, all_0_2_2, all_162_0_173 and discharging atoms addition(all_162_0_173, all_0_2_2) = all_26_0_19, yields:
% 222.07/175.24 | (685) all_26_0_19 = all_0_2_2 | ? [v0] : ( ~ (v0 = 0) & leq(all_162_0_173, all_0_2_2) = v0)
% 222.07/175.24 |
% 222.07/175.24 | Instantiating formula (9) with all_26_0_19, all_26_0_19, all_135_0_141, all_20_0_17, one and discharging atoms addition(all_135_0_141, all_20_0_17) = all_26_0_19, addition(all_26_0_19, one) = all_26_0_19, yields:
% 222.07/175.24 | (686) ? [v0] : (addition(all_135_0_141, v0) = all_26_0_19 & addition(all_20_0_17, one) = v0)
% 222.07/175.24 |
% 222.07/175.24 | Instantiating formula (22) with all_20_0_17, all_0_2_2, zero, all_20_0_17, all_85_0_61 and discharging atoms multiplication(all_0_2_2, zero) = all_20_0_17, addition(all_85_0_61, all_20_0_17) = all_0_2_2, yields:
% 222.07/175.24 | (687) ? [v0] : ? [v1] : (multiplication(all_85_0_61, zero) = v0 & multiplication(all_20_0_17, zero) = v1 & addition(v0, v1) = all_20_0_17)
% 222.07/175.24 |
% 222.07/175.24 | Instantiating formula (22) with all_127_1_122, all_0_2_2, all_0_2_2, all_20_0_17, all_85_0_61 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_127_1_122, addition(all_85_0_61, all_20_0_17) = all_0_2_2, yields:
% 222.07/175.24 | (688) ? [v0] : ? [v1] : (multiplication(all_85_0_61, all_0_2_2) = v0 & multiplication(all_20_0_17, all_0_2_2) = v1 & addition(v0, v1) = all_127_1_122)
% 222.07/175.24 |
% 222.07/175.24 | Instantiating formula (12) with all_127_1_122, all_0_2_2, all_20_0_17, all_85_0_61, all_0_2_2 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_127_1_122, addition(all_85_0_61, all_20_0_17) = all_0_2_2, yields:
% 222.07/175.24 | (689) ? [v0] : ? [v1] : (multiplication(all_0_2_2, all_85_0_61) = v0 & multiplication(all_0_2_2, all_20_0_17) = v1 & addition(v0, v1) = all_127_1_122)
% 222.07/175.24 |
% 222.07/175.24 | Instantiating formula (9) with all_26_0_19, all_0_2_2, all_85_0_61, all_20_0_17, all_0_1_1 and discharging atoms addition(all_85_0_61, all_20_0_17) = all_0_2_2, addition(all_0_2_2, all_0_1_1) = all_26_0_19, yields:
% 222.07/175.24 | (690) ? [v0] : (addition(all_85_0_61, v0) = all_26_0_19 & addition(all_20_0_17, all_0_1_1) = v0)
% 222.07/175.24 |
% 222.07/175.24 | Instantiating formula (9) with all_0_2_2, all_0_2_2, all_85_0_61, all_20_0_17, one and discharging atoms addition(all_85_0_61, all_20_0_17) = all_0_2_2, addition(all_0_2_2, one) = all_0_2_2, yields:
% 222.07/175.24 | (691) ? [v0] : (addition(all_85_0_61, v0) = all_0_2_2 & addition(all_20_0_17, one) = v0)
% 222.07/175.24 |
% 222.07/175.24 | Instantiating formula (14) with all_0_2_2, all_0_2_2, one, all_85_0_61, all_20_0_17 and discharging atoms addition(all_85_0_61, all_20_0_17) = all_0_2_2, addition(one, all_0_2_2) = all_0_2_2, yields:
% 222.07/175.24 | (692) ? [v0] : (addition(v0, all_20_0_17) = all_0_2_2 & addition(one, all_85_0_61) = v0)
% 222.07/175.24 |
% 222.07/175.24 | Instantiating formula (14) with all_0_2_2, all_20_0_17, all_85_0_61, all_195_1_228, all_20_0_17 and discharging atoms addition(all_195_1_228, all_20_0_17) = all_20_0_17, addition(all_85_0_61, all_20_0_17) = all_0_2_2, yields:
% 222.07/175.24 | (693) ? [v0] : (addition(v0, all_20_0_17) = all_0_2_2 & addition(all_85_0_61, all_195_1_228) = v0)
% 222.07/175.24 |
% 222.07/175.24 | Instantiating formula (14) with all_26_0_19, all_0_2_2, all_162_0_173, all_85_0_61, all_20_0_17 and discharging atoms addition(all_162_0_173, all_0_2_2) = all_26_0_19, addition(all_85_0_61, all_20_0_17) = all_0_2_2, yields:
% 222.07/175.24 | (694) ? [v0] : (addition(v0, all_20_0_17) = all_26_0_19 & addition(all_162_0_173, all_85_0_61) = v0)
% 222.07/175.24 |
% 222.07/175.24 | Instantiating formula (23) with all_20_0_17, all_49_1_36, zero, all_178_0_198, all_20_1_18 and discharging atoms multiplication(all_20_1_18, zero) = all_49_1_36, addition(all_49_1_36, all_178_0_198) = all_20_0_17, yields:
% 222.07/175.24 | (695) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(all_20_1_18) = v0 & leq(zero, v1) = 0 & multiplication(v0, all_178_0_198) = v1) | ( ~ (v0 = 0) & leq(zero, all_20_0_17) = v0))
% 222.07/175.24 |
% 222.07/175.24 | Instantiating formula (12) with all_110_1_101, all_20_0_17, all_178_0_198, all_49_1_36, all_110_2_102 and discharging atoms multiplication(all_110_2_102, all_20_0_17) = all_110_1_101, addition(all_49_1_36, all_178_0_198) = all_20_0_17, yields:
% 222.07/175.24 | (696) ? [v0] : ? [v1] : (multiplication(all_110_2_102, all_178_0_198) = v1 & multiplication(all_110_2_102, all_49_1_36) = v0 & addition(v0, v1) = all_110_1_101)
% 222.07/175.24 |
% 222.07/175.24 | Instantiating formula (23) with all_20_0_17, all_49_1_36, all_49_1_36, all_178_0_198, one and discharging atoms multiplication(one, all_49_1_36) = all_49_1_36, addition(all_49_1_36, all_178_0_198) = all_20_0_17, yields:
% 222.07/175.24 | (697) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(one) = v0 & leq(all_49_1_36, v1) = 0 & multiplication(v0, all_178_0_198) = v1) | ( ~ (v0 = 0) & leq(all_49_1_36, all_20_0_17) = v0))
% 222.07/175.24 |
% 222.07/175.24 | Instantiating formula (14) with all_0_2_2, all_20_0_17, all_20_1_18, all_49_1_36, all_178_0_198 and discharging atoms addition(all_49_1_36, all_178_0_198) = all_20_0_17, addition(all_20_1_18, all_20_0_17) = all_0_2_2, yields:
% 222.07/175.24 | (698) ? [v0] : (addition(v0, all_178_0_198) = all_0_2_2 & addition(all_20_1_18, all_49_1_36) = v0)
% 222.07/175.24 |
% 222.07/175.24 | Instantiating formula (23) with all_38_0_20, all_49_1_36, zero, all_38_0_20, all_20_1_18 and discharging atoms multiplication(all_20_1_18, zero) = all_49_1_36, addition(all_49_1_36, all_38_0_20) = all_38_0_20, yields:
% 222.07/175.24 | (699) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(all_20_1_18) = v0 & leq(zero, v1) = 0 & multiplication(v0, all_38_0_20) = v1) | ( ~ (v0 = 0) & leq(zero, all_38_0_20) = v0))
% 222.07/175.24 |
% 222.07/175.24 | Instantiating formula (23) with all_38_0_20, all_49_1_36, all_49_1_36, all_38_0_20, one and discharging atoms multiplication(one, all_49_1_36) = all_49_1_36, addition(all_49_1_36, all_38_0_20) = all_38_0_20, yields:
% 222.07/175.24 | (700) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(one) = v0 & leq(all_49_1_36, v1) = 0 & multiplication(v0, all_38_0_20) = v1) | ( ~ (v0 = 0) & leq(all_49_1_36, all_38_0_20) = v0))
% 222.07/175.24 |
% 222.07/175.24 | Instantiating formula (14) with all_0_2_2, all_38_0_20, all_20_1_18, all_49_1_36, all_38_0_20 and discharging atoms addition(all_49_1_36, all_38_0_20) = all_38_0_20, addition(all_20_1_18, all_38_0_20) = all_0_2_2, yields:
% 222.07/175.24 | (701) ? [v0] : (addition(v0, all_38_0_20) = all_0_2_2 & addition(all_20_1_18, all_49_1_36) = v0)
% 222.07/175.24 |
% 222.07/175.24 | Instantiating formula (16) with all_38_0_20, all_49_1_36 and discharging atoms addition(all_49_1_36, all_38_0_20) = all_38_0_20, yields:
% 222.07/175.24 | (702) leq(all_49_1_36, all_38_0_20) = 0
% 222.07/175.24 |
% 222.07/175.24 | Instantiating formula (12) with all_110_1_101, all_20_0_17, all_20_0_17, all_49_1_36, all_110_2_102 and discharging atoms multiplication(all_110_2_102, all_20_0_17) = all_110_1_101, addition(all_49_1_36, all_20_0_17) = all_20_0_17, yields:
% 222.07/175.24 | (703) ? [v0] : ? [v1] : (multiplication(all_110_2_102, all_49_1_36) = v0 & multiplication(all_110_2_102, all_20_0_17) = v1 & addition(v0, v1) = all_110_1_101)
% 222.07/175.24 |
% 222.07/175.24 | Instantiating formula (23) with all_20_0_17, all_49_1_36, all_49_1_36, all_20_0_17, one and discharging atoms multiplication(one, all_49_1_36) = all_49_1_36, addition(all_49_1_36, all_20_0_17) = all_20_0_17, yields:
% 222.07/175.24 | (704) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(one) = v0 & leq(all_49_1_36, v1) = 0 & multiplication(v0, all_20_0_17) = v1) | ( ~ (v0 = 0) & leq(all_49_1_36, all_20_0_17) = v0))
% 222.07/175.24 |
% 222.07/175.24 | Instantiating formula (14) with all_20_0_17, all_20_0_17, all_49_1_36, all_195_1_228, all_20_0_17 and discharging atoms addition(all_195_1_228, all_20_0_17) = all_20_0_17, addition(all_49_1_36, all_20_0_17) = all_20_0_17, yields:
% 222.07/175.24 | (705) ? [v0] : (addition(v0, all_20_0_17) = all_20_0_17 & addition(all_49_1_36, all_195_1_228) = v0)
% 222.07/175.24 |
% 222.07/175.24 | Instantiating formula (14) with all_20_0_17, all_20_0_17, all_195_1_228, all_49_1_36, all_20_0_17 and discharging atoms addition(all_195_1_228, all_20_0_17) = all_20_0_17, addition(all_49_1_36, all_20_0_17) = all_20_0_17, yields:
% 222.07/175.24 | (706) ? [v0] : (addition(v0, all_20_0_17) = all_20_0_17 & addition(all_195_1_228, all_49_1_36) = v0)
% 222.07/175.24 |
% 222.07/175.24 | Instantiating formula (14) with all_0_2_2, all_20_0_17, all_85_0_61, all_49_1_36, all_20_0_17 and discharging atoms addition(all_85_0_61, all_20_0_17) = all_0_2_2, addition(all_49_1_36, all_20_0_17) = all_20_0_17, yields:
% 222.07/175.24 | (707) ? [v0] : (addition(v0, all_20_0_17) = all_0_2_2 & addition(all_85_0_61, all_49_1_36) = v0)
% 222.07/175.25 |
% 222.07/175.25 | Instantiating formula (16) with all_20_0_17, all_49_1_36 and discharging atoms addition(all_49_1_36, all_20_0_17) = all_20_0_17, yields:
% 222.07/175.25 | (708) leq(all_49_1_36, all_20_0_17) = 0
% 222.07/175.25 |
% 222.07/175.25 | Instantiating formula (23) with all_0_2_2, all_49_1_36, zero, all_0_2_2, all_20_1_18 and discharging atoms multiplication(all_20_1_18, zero) = all_49_1_36, addition(all_49_1_36, all_0_2_2) = all_0_2_2, yields:
% 222.07/175.25 | (709) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(all_20_1_18) = v0 & leq(zero, v1) = 0 & multiplication(v0, all_0_2_2) = v1) | ( ~ (v0 = 0) & leq(zero, all_0_2_2) = v0))
% 222.07/175.25 |
% 222.07/175.25 | Instantiating formula (22) with all_131_1_134, all_0_2_2, all_20_1_18, all_0_2_2, all_49_1_36 and discharging atoms multiplication(all_0_2_2, all_20_1_18) = all_131_1_134, addition(all_49_1_36, all_0_2_2) = all_0_2_2, yields:
% 222.07/175.25 | (710) ? [v0] : ? [v1] : (multiplication(all_49_1_36, all_20_1_18) = v0 & multiplication(all_0_2_2, all_20_1_18) = v1 & addition(v0, v1) = all_131_1_134)
% 222.07/175.25 |
% 222.07/175.25 | Instantiating formula (22) with all_127_1_122, all_0_2_2, all_0_2_2, all_0_2_2, all_49_1_36 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_127_1_122, addition(all_49_1_36, all_0_2_2) = all_0_2_2, yields:
% 222.07/175.25 | (711) ? [v0] : ? [v1] : (multiplication(all_49_1_36, all_0_2_2) = v0 & multiplication(all_0_2_2, all_0_2_2) = v1 & addition(v0, v1) = all_127_1_122)
% 222.07/175.25 |
% 222.07/175.25 | Instantiating formula (12) with all_127_1_122, all_0_2_2, all_0_2_2, all_49_1_36, all_0_2_2 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_127_1_122, addition(all_49_1_36, all_0_2_2) = all_0_2_2, yields:
% 222.07/175.25 | (712) ? [v0] : ? [v1] : (multiplication(all_0_2_2, all_49_1_36) = v0 & multiplication(all_0_2_2, all_0_2_2) = v1 & addition(v0, v1) = all_127_1_122)
% 222.07/175.25 |
% 222.07/175.25 | Instantiating formula (22) with all_0_2_2, all_0_2_2, one, all_0_2_2, all_49_1_36 and discharging atoms multiplication(all_0_2_2, one) = all_0_2_2, addition(all_49_1_36, all_0_2_2) = all_0_2_2, yields:
% 222.07/175.25 | (713) ? [v0] : ? [v1] : (multiplication(all_49_1_36, one) = v0 & multiplication(all_0_2_2, one) = v1 & addition(v0, v1) = all_0_2_2)
% 222.07/175.25 |
% 222.07/175.25 | Instantiating formula (23) with all_0_2_2, all_49_1_36, all_49_1_36, all_0_2_2, one and discharging atoms multiplication(one, all_49_1_36) = all_49_1_36, addition(all_49_1_36, all_0_2_2) = all_0_2_2, yields:
% 222.07/175.25 | (714) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(one) = v0 & leq(all_49_1_36, v1) = 0 & multiplication(v0, all_0_2_2) = v1) | ( ~ (v0 = 0) & leq(all_49_1_36, all_0_2_2) = v0))
% 222.07/175.25 |
% 222.07/175.25 | Instantiating formula (14) with all_26_0_19, all_0_2_2, all_0_1_1, all_49_1_36, all_0_2_2 and discharging atoms addition(all_49_1_36, all_0_2_2) = all_0_2_2, addition(all_0_1_1, all_0_2_2) = all_26_0_19, yields:
% 222.07/175.25 | (715) ? [v0] : (addition(v0, all_0_2_2) = all_26_0_19 & addition(all_0_1_1, all_49_1_36) = v0)
% 222.07/175.25 |
% 222.07/175.25 | Instantiating formula (14) with all_0_2_2, all_0_2_2, one, all_49_1_36, all_0_2_2 and discharging atoms addition(all_49_1_36, all_0_2_2) = all_0_2_2, addition(one, all_0_2_2) = all_0_2_2, yields:
% 222.07/175.25 | (716) ? [v0] : (addition(v0, all_0_2_2) = all_0_2_2 & addition(one, all_49_1_36) = v0)
% 222.07/175.25 |
% 222.07/175.25 | Instantiating formula (14) with all_0_2_2, all_0_2_2, all_49_1_36, all_85_0_61, all_20_0_17 and discharging atoms addition(all_85_0_61, all_20_0_17) = all_0_2_2, addition(all_49_1_36, all_0_2_2) = all_0_2_2, yields:
% 222.07/175.25 | (717) ? [v0] : (addition(v0, all_20_0_17) = all_0_2_2 & addition(all_49_1_36, all_85_0_61) = v0)
% 222.07/175.25 |
% 222.07/175.25 | Instantiating formula (16) with all_0_2_2, all_49_1_36 and discharging atoms addition(all_49_1_36, all_0_2_2) = all_0_2_2, yields:
% 222.07/175.25 | (718) leq(all_49_1_36, all_0_2_2) = 0
% 222.07/175.25 |
% 222.07/175.25 | Instantiating formula (9) with all_135_0_141, all_44_0_29, all_0_1_1, all_20_1_18, all_49_1_36 and discharging atoms addition(all_44_0_29, all_49_1_36) = all_135_0_141, addition(all_0_1_1, all_20_1_18) = all_44_0_29, yields:
% 222.07/175.25 | (719) ? [v0] : (addition(all_20_1_18, all_49_1_36) = v0 & addition(all_0_1_1, v0) = all_135_0_141)
% 222.07/175.25 |
% 222.07/175.25 | Instantiating formula (9) with all_135_0_141, all_44_0_29, all_162_0_173, all_20_1_18, all_49_1_36 and discharging atoms addition(all_162_0_173, all_20_1_18) = all_44_0_29, addition(all_44_0_29, all_49_1_36) = all_135_0_141, yields:
% 222.07/175.25 | (720) ? [v0] : (addition(all_162_0_173, v0) = all_135_0_141 & addition(all_20_1_18, all_49_1_36) = v0)
% 222.07/175.25 |
% 222.07/175.25 | Instantiating formula (38) with all_135_0_141, all_44_0_29, all_49_1_36 and discharging atoms addition(all_44_0_29, all_49_1_36) = all_135_0_141, yields:
% 222.07/175.25 | (721) addition(all_49_1_36, all_44_0_29) = all_135_0_141
% 222.07/175.25 |
% 222.07/175.25 | Instantiating formula (22) with all_20_0_17, all_0_2_2, zero, all_20_1_18, all_38_0_20 and discharging atoms multiplication(all_0_2_2, zero) = all_20_0_17, addition(all_38_0_20, all_20_1_18) = all_0_2_2, yields:
% 222.07/175.25 | (722) ? [v0] : ? [v1] : (multiplication(all_38_0_20, zero) = v0 & multiplication(all_20_1_18, zero) = v1 & addition(v0, v1) = all_20_0_17)
% 222.07/175.25 |
% 222.07/175.25 | Instantiating formula (22) with all_131_1_134, all_0_2_2, all_20_1_18, all_20_1_18, all_38_0_20 and discharging atoms multiplication(all_0_2_2, all_20_1_18) = all_131_1_134, addition(all_38_0_20, all_20_1_18) = all_0_2_2, yields:
% 222.07/175.25 | (723) ? [v0] : ? [v1] : (multiplication(all_38_0_20, all_20_1_18) = v0 & multiplication(all_20_1_18, all_20_1_18) = v1 & addition(v0, v1) = all_131_1_134)
% 222.07/175.25 |
% 222.07/175.25 | Instantiating formula (22) with all_127_1_122, all_0_2_2, all_0_2_2, all_20_1_18, all_38_0_20 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_127_1_122, addition(all_38_0_20, all_20_1_18) = all_0_2_2, yields:
% 222.07/175.25 | (724) ? [v0] : ? [v1] : (multiplication(all_38_0_20, all_0_2_2) = v0 & multiplication(all_20_1_18, all_0_2_2) = v1 & addition(v0, v1) = all_127_1_122)
% 222.07/175.25 |
% 222.07/175.25 | Instantiating formula (12) with all_127_1_122, all_0_2_2, all_20_1_18, all_38_0_20, all_0_2_2 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_127_1_122, addition(all_38_0_20, all_20_1_18) = all_0_2_2, yields:
% 222.07/175.25 | (725) ? [v0] : ? [v1] : (multiplication(all_0_2_2, all_38_0_20) = v0 & multiplication(all_0_2_2, all_20_1_18) = v1 & addition(v0, v1) = all_127_1_122)
% 222.07/175.25 |
% 222.07/175.25 | Instantiating formula (22) with all_0_2_2, all_0_2_2, one, all_20_1_18, all_38_0_20 and discharging atoms multiplication(all_0_2_2, one) = all_0_2_2, addition(all_38_0_20, all_20_1_18) = all_0_2_2, yields:
% 222.07/175.25 | (726) ? [v0] : ? [v1] : (multiplication(all_38_0_20, one) = v0 & multiplication(all_20_1_18, one) = v1 & addition(v0, v1) = all_0_2_2)
% 222.07/175.25 |
% 222.07/175.25 | Instantiating formula (23) with all_0_2_2, all_38_0_20, all_38_0_20, all_20_1_18, one and discharging atoms multiplication(one, all_38_0_20) = all_38_0_20, addition(all_38_0_20, all_20_1_18) = all_0_2_2, yields:
% 222.07/175.25 | (727) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(one) = v0 & leq(all_38_0_20, v1) = 0 & multiplication(v0, all_20_1_18) = v1) | ( ~ (v0 = 0) & leq(all_38_0_20, all_0_2_2) = v0))
% 222.07/175.25 |
% 222.07/175.25 | Instantiating formula (40) with all_0_2_2, all_38_0_20, all_38_0_20, all_20_1_18, one and discharging atoms multiplication(one, all_38_0_20) = all_38_0_20, addition(all_38_0_20, all_20_1_18) = all_0_2_2, yields:
% 222.07/175.25 | (728) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, all_38_0_20) = 0 & star(one) = v0 & multiplication(v0, all_20_1_18) = v1) | ( ~ (v0 = 0) & leq(all_0_2_2, all_38_0_20) = v0))
% 222.07/175.25 |
% 222.07/175.25 | Instantiating formula (9) with all_26_0_19, all_0_2_2, all_38_0_20, all_20_1_18, all_0_1_1 and discharging atoms addition(all_38_0_20, all_20_1_18) = all_0_2_2, addition(all_0_2_2, all_0_1_1) = all_26_0_19, yields:
% 222.07/175.25 | (729) ? [v0] : (addition(all_38_0_20, v0) = all_26_0_19 & addition(all_20_1_18, all_0_1_1) = v0)
% 222.07/175.25 |
% 222.07/175.25 | Instantiating formula (23) with all_152_0_162, all_38_0_20, all_38_0_20, all_0_1_1, one and discharging atoms multiplication(one, all_38_0_20) = all_38_0_20, addition(all_38_0_20, all_0_1_1) = all_152_0_162, yields:
% 222.07/175.25 | (730) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(one) = v0 & leq(all_38_0_20, v1) = 0 & multiplication(v0, all_0_1_1) = v1) | ( ~ (v0 = 0) & leq(all_38_0_20, all_152_0_162) = v0))
% 222.07/175.25 |
% 222.07/175.25 | Instantiating formula (9) with all_152_0_162, all_38_0_20, all_20_0_17, one, all_0_1_1 and discharging atoms addition(all_38_0_20, all_0_1_1) = all_152_0_162, addition(all_20_0_17, one) = all_38_0_20, yields:
% 222.07/175.25 | (731) ? [v0] : (addition(all_20_0_17, v0) = all_152_0_162 & addition(one, all_0_1_1) = v0)
% 222.07/175.25 |
% 222.07/175.25 | Instantiating formula (12) with all_129_1_128, all_38_0_20, one, all_38_0_20, all_110_2_102 and discharging atoms multiplication(all_110_2_102, all_38_0_20) = all_129_1_128, addition(all_38_0_20, one) = all_38_0_20, yields:
% 222.07/175.25 | (732) ? [v0] : ? [v1] : (multiplication(all_110_2_102, all_38_0_20) = v0 & multiplication(all_110_2_102, one) = v1 & addition(v0, v1) = all_129_1_128)
% 222.07/175.25 |
% 222.07/175.25 | Instantiating formula (22) with all_178_0_198, all_38_0_20, zero, one, all_38_0_20 and discharging atoms multiplication(all_38_0_20, zero) = all_178_0_198, addition(all_38_0_20, one) = all_38_0_20, yields:
% 222.07/175.25 | (733) ? [v0] : ? [v1] : (multiplication(all_38_0_20, zero) = v0 & multiplication(one, zero) = v1 & addition(v0, v1) = all_178_0_198)
% 222.07/175.25 |
% 222.07/175.25 | Instantiating formula (23) with all_38_0_20, all_38_0_20, all_38_0_20, one, one and discharging atoms multiplication(one, all_38_0_20) = all_38_0_20, addition(all_38_0_20, one) = all_38_0_20, yields:
% 222.07/175.25 | (734) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(one) = v0 & leq(all_38_0_20, v1) = 0 & multiplication(v0, one) = v1) | ( ~ (v0 = 0) & leq(all_38_0_20, all_38_0_20) = v0))
% 222.07/175.25 |
% 222.07/175.25 | Instantiating formula (40) with all_38_0_20, all_38_0_20, all_38_0_20, one, one and discharging atoms multiplication(one, all_38_0_20) = all_38_0_20, addition(all_38_0_20, one) = all_38_0_20, yields:
% 222.07/175.25 | (735) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, all_38_0_20) = 0 & star(one) = v0 & multiplication(v0, one) = v1) | ( ~ (v0 = 0) & leq(all_38_0_20, all_38_0_20) = v0))
% 222.07/175.25 |
% 222.07/175.25 | Instantiating formula (9) with all_152_0_162, all_38_0_20, all_38_0_20, one, all_0_1_1 and discharging atoms addition(all_38_0_20, all_0_1_1) = all_152_0_162, addition(all_38_0_20, one) = all_38_0_20, yields:
% 222.07/175.25 | (736) ? [v0] : (addition(all_38_0_20, v0) = all_152_0_162 & addition(one, all_0_1_1) = v0)
% 222.07/175.25 |
% 222.07/175.25 | Instantiating formula (9) with all_26_0_19, all_26_0_19, all_26_0_19, zero, one and discharging atoms addition(all_26_0_19, one) = all_26_0_19, addition(all_26_0_19, zero) = all_26_0_19, yields:
% 222.07/175.25 | (737) ? [v0] : (addition(all_26_0_19, v0) = all_26_0_19 & addition(zero, one) = v0)
% 222.07/175.25 |
% 222.07/175.25 | Instantiating formula (9) with all_26_0_19, all_26_0_19, all_0_2_2, all_0_1_1, zero and discharging atoms addition(all_26_0_19, zero) = all_26_0_19, addition(all_0_2_2, all_0_1_1) = all_26_0_19, yields:
% 222.07/175.25 | (738) ? [v0] : (addition(all_0_1_1, zero) = v0 & addition(all_0_2_2, v0) = all_26_0_19)
% 222.07/175.25 |
% 222.07/175.25 | Instantiating formula (18) with all_0_2_2, all_20_0_17, all_0_2_2, all_205_0_233, zero and discharging atoms multiplication(all_0_2_2, zero) = all_20_0_17, addition(all_20_0_17, all_205_0_233) = all_0_2_2, yields:
% 222.07/175.25 | (739) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, all_0_2_2) = 0 & star(zero) = v0 & multiplication(all_205_0_233, v0) = v1) | ( ~ (v0 = 0) & leq(all_0_2_2, all_0_2_2) = v0))
% 222.07/175.25 |
% 222.07/175.25 | Instantiating formula (22) with all_20_0_17, all_0_2_2, zero, all_205_0_233, all_20_0_17 and discharging atoms multiplication(all_0_2_2, zero) = all_20_0_17, addition(all_20_0_17, all_205_0_233) = all_0_2_2, yields:
% 222.07/175.25 | (740) ? [v0] : ? [v1] : (multiplication(all_205_0_233, zero) = v1 & multiplication(all_20_0_17, zero) = v0 & addition(v0, v1) = all_20_0_17)
% 222.07/175.25 |
% 222.07/175.25 | Instantiating formula (23) with all_0_2_2, all_20_0_17, all_20_0_17, all_205_0_233, one and discharging atoms multiplication(one, all_20_0_17) = all_20_0_17, addition(all_20_0_17, all_205_0_233) = all_0_2_2, yields:
% 222.07/175.25 | (741) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(one) = v0 & leq(all_20_0_17, v1) = 0 & multiplication(v0, all_205_0_233) = v1) | ( ~ (v0 = 0) & leq(all_20_0_17, all_0_2_2) = v0))
% 222.07/175.25 |
% 222.07/175.25 | Instantiating formula (40) with all_0_2_2, all_20_0_17, all_20_0_17, all_205_0_233, one and discharging atoms multiplication(one, all_20_0_17) = all_20_0_17, addition(all_20_0_17, all_205_0_233) = all_0_2_2, yields:
% 222.07/175.25 | (742) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, all_20_0_17) = 0 & star(one) = v0 & multiplication(v0, all_205_0_233) = v1) | ( ~ (v0 = 0) & leq(all_0_2_2, all_20_0_17) = v0))
% 222.07/175.25 |
% 222.07/175.25 | Instantiating formula (18) with all_0_2_2, all_20_0_17, all_20_0_17, all_205_0_233, one and discharging atoms multiplication(all_20_0_17, one) = all_20_0_17, addition(all_20_0_17, all_205_0_233) = all_0_2_2, yields:
% 222.07/175.25 | (743) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, all_20_0_17) = 0 & star(one) = v0 & multiplication(all_205_0_233, v0) = v1) | ( ~ (v0 = 0) & leq(all_0_2_2, all_20_0_17) = v0))
% 222.07/175.25 |
% 222.07/175.25 | Instantiating formula (18) with all_0_2_2, all_20_0_17, all_20_0_17, all_205_0_233, zero and discharging atoms multiplication(all_20_0_17, zero) = all_20_0_17, addition(all_20_0_17, all_205_0_233) = all_0_2_2, yields:
% 222.07/175.25 | (744) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, all_20_0_17) = 0 & star(zero) = v0 & multiplication(all_205_0_233, v0) = v1) | ( ~ (v0 = 0) & leq(all_0_2_2, all_20_0_17) = v0))
% 222.07/175.25 |
% 222.07/175.25 | Instantiating formula (22) with all_127_1_122, all_0_2_2, all_0_2_2, all_205_0_233, all_20_0_17 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_127_1_122, addition(all_20_0_17, all_205_0_233) = all_0_2_2, yields:
% 222.07/175.25 | (745) ? [v0] : ? [v1] : (multiplication(all_205_0_233, all_0_2_2) = v1 & multiplication(all_20_0_17, all_0_2_2) = v0 & addition(v0, v1) = all_127_1_122)
% 222.07/175.25 |
% 222.07/175.25 | Instantiating formula (12) with all_127_1_122, all_0_2_2, all_205_0_233, all_20_0_17, all_0_2_2 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_127_1_122, addition(all_20_0_17, all_205_0_233) = all_0_2_2, yields:
% 222.07/175.25 | (746) ? [v0] : ? [v1] : (multiplication(all_0_2_2, all_205_0_233) = v1 & multiplication(all_0_2_2, all_20_0_17) = v0 & addition(v0, v1) = all_127_1_122)
% 222.07/175.25 |
% 222.07/175.25 | Instantiating formula (9) with all_0_2_2, all_20_0_17, all_20_0_17, zero, all_205_0_233 and discharging atoms addition(all_20_0_17, all_205_0_233) = all_0_2_2, addition(all_20_0_17, zero) = all_20_0_17, yields:
% 222.07/175.25 | (747) ? [v0] : (addition(all_20_0_17, v0) = all_0_2_2 & addition(zero, all_205_0_233) = v0)
% 222.07/175.25 |
% 222.07/175.25 | Instantiating formula (9) with all_26_0_19, all_0_2_2, all_20_0_17, all_205_0_233, all_0_1_1 and discharging atoms addition(all_20_0_17, all_205_0_233) = all_0_2_2, addition(all_0_2_2, all_0_1_1) = all_26_0_19, yields:
% 222.07/175.25 | (748) ? [v0] : (addition(all_205_0_233, all_0_1_1) = v0 & addition(all_20_0_17, v0) = all_26_0_19)
% 222.07/175.25 |
% 222.07/175.25 | Instantiating formula (9) with all_0_2_2, all_0_2_2, all_20_0_17, all_205_0_233, one and discharging atoms addition(all_20_0_17, all_205_0_233) = all_0_2_2, addition(all_0_2_2, one) = all_0_2_2, yields:
% 222.07/175.25 | (749) ? [v0] : (addition(all_205_0_233, one) = v0 & addition(all_20_0_17, v0) = all_0_2_2)
% 222.07/175.25 |
% 222.07/175.25 | Instantiating formula (18) with all_38_0_20, all_20_0_17, all_0_2_2, all_203_0_232, zero and discharging atoms multiplication(all_0_2_2, zero) = all_20_0_17, addition(all_20_0_17, all_203_0_232) = all_38_0_20, yields:
% 222.07/175.25 | (750) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, all_0_2_2) = 0 & star(zero) = v0 & multiplication(all_203_0_232, v0) = v1) | ( ~ (v0 = 0) & leq(all_38_0_20, all_0_2_2) = v0))
% 222.07/175.25 |
% 222.07/175.25 | Instantiating formula (23) with all_38_0_20, all_20_0_17, all_20_0_17, all_203_0_232, one and discharging atoms multiplication(one, all_20_0_17) = all_20_0_17, addition(all_20_0_17, all_203_0_232) = all_38_0_20, yields:
% 222.07/175.25 | (751) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(one) = v0 & leq(all_20_0_17, v1) = 0 & multiplication(v0, all_203_0_232) = v1) | ( ~ (v0 = 0) & leq(all_20_0_17, all_38_0_20) = v0))
% 222.07/175.25 |
% 222.07/175.25 | Instantiating formula (40) with all_38_0_20, all_20_0_17, all_20_0_17, all_203_0_232, one and discharging atoms multiplication(one, all_20_0_17) = all_20_0_17, addition(all_20_0_17, all_203_0_232) = all_38_0_20, yields:
% 222.07/175.25 | (752) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, all_20_0_17) = 0 & star(one) = v0 & multiplication(v0, all_203_0_232) = v1) | ( ~ (v0 = 0) & leq(all_38_0_20, all_20_0_17) = v0))
% 222.07/175.25 |
% 222.07/175.25 | Instantiating formula (12) with all_129_1_128, all_38_0_20, all_203_0_232, all_20_0_17, all_110_2_102 and discharging atoms multiplication(all_110_2_102, all_38_0_20) = all_129_1_128, addition(all_20_0_17, all_203_0_232) = all_38_0_20, yields:
% 222.07/175.25 | (753) ? [v0] : ? [v1] : (multiplication(all_110_2_102, all_203_0_232) = v1 & multiplication(all_110_2_102, all_20_0_17) = v0 & addition(v0, v1) = all_129_1_128)
% 222.07/175.25 |
% 222.07/175.25 | Instantiating formula (22) with all_178_0_198, all_38_0_20, zero, all_203_0_232, all_20_0_17 and discharging atoms multiplication(all_38_0_20, zero) = all_178_0_198, addition(all_20_0_17, all_203_0_232) = all_38_0_20, yields:
% 222.07/175.25 | (754) ? [v0] : ? [v1] : (multiplication(all_203_0_232, zero) = v1 & multiplication(all_20_0_17, zero) = v0 & addition(v0, v1) = all_178_0_198)
% 222.07/175.25 |
% 222.07/175.25 | Instantiating formula (18) with all_38_0_20, all_20_0_17, all_20_0_17, all_203_0_232, one and discharging atoms multiplication(all_20_0_17, one) = all_20_0_17, addition(all_20_0_17, all_203_0_232) = all_38_0_20, yields:
% 222.07/175.25 | (755) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, all_20_0_17) = 0 & star(one) = v0 & multiplication(all_203_0_232, v0) = v1) | ( ~ (v0 = 0) & leq(all_38_0_20, all_20_0_17) = v0))
% 222.07/175.25 |
% 222.07/175.25 | Instantiating formula (18) with all_38_0_20, all_20_0_17, all_20_0_17, all_203_0_232, zero and discharging atoms multiplication(all_20_0_17, zero) = all_20_0_17, addition(all_20_0_17, all_203_0_232) = all_38_0_20, yields:
% 222.07/175.25 | (756) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, all_20_0_17) = 0 & star(zero) = v0 & multiplication(all_203_0_232, v0) = v1) | ( ~ (v0 = 0) & leq(all_38_0_20, all_20_0_17) = v0))
% 222.07/175.26 |
% 222.07/175.26 | Instantiating formula (9) with all_38_0_20, all_20_0_17, all_20_0_17, zero, all_203_0_232 and discharging atoms addition(all_20_0_17, all_203_0_232) = all_38_0_20, addition(all_20_0_17, zero) = all_20_0_17, yields:
% 222.07/175.26 | (757) ? [v0] : (addition(all_20_0_17, v0) = all_38_0_20 & addition(zero, all_203_0_232) = v0)
% 222.07/175.26 |
% 222.07/175.26 | Instantiating formula (9) with all_38_0_20, all_20_0_17, all_49_1_36, all_178_0_198, all_203_0_232 and discharging atoms addition(all_49_1_36, all_178_0_198) = all_20_0_17, addition(all_20_0_17, all_203_0_232) = all_38_0_20, yields:
% 222.07/175.26 | (758) ? [v0] : (addition(all_178_0_198, all_203_0_232) = v0 & addition(all_49_1_36, v0) = all_38_0_20)
% 222.07/175.26 |
% 222.07/175.26 | Instantiating formula (9) with all_152_0_162, all_38_0_20, all_20_0_17, all_203_0_232, all_0_1_1 and discharging atoms addition(all_38_0_20, all_0_1_1) = all_152_0_162, addition(all_20_0_17, all_203_0_232) = all_38_0_20, yields:
% 222.07/175.26 | (759) ? [v0] : (addition(all_203_0_232, all_0_1_1) = v0 & addition(all_20_0_17, v0) = all_152_0_162)
% 222.07/175.26 |
% 222.07/175.26 | Instantiating formula (9) with all_38_0_20, all_38_0_20, all_20_0_17, all_203_0_232, one and discharging atoms addition(all_38_0_20, one) = all_38_0_20, addition(all_20_0_17, all_203_0_232) = all_38_0_20, yields:
% 222.07/175.26 | (760) ? [v0] : (addition(all_203_0_232, one) = v0 & addition(all_20_0_17, v0) = all_38_0_20)
% 222.07/175.26 |
% 222.07/175.26 | Instantiating formula (18) with all_20_0_17, all_20_0_17, all_0_2_2, all_49_1_36, zero and discharging atoms multiplication(all_0_2_2, zero) = all_20_0_17, addition(all_20_0_17, all_49_1_36) = all_20_0_17, yields:
% 222.07/175.26 | (761) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, all_0_2_2) = 0 & star(zero) = v0 & multiplication(all_49_1_36, v0) = v1) | ( ~ (v0 = 0) & leq(all_20_0_17, all_0_2_2) = v0))
% 222.07/175.26 |
% 222.07/175.26 | Instantiating formula (23) with all_20_0_17, all_20_0_17, all_20_0_17, all_49_1_36, one and discharging atoms multiplication(one, all_20_0_17) = all_20_0_17, addition(all_20_0_17, all_49_1_36) = all_20_0_17, yields:
% 222.07/175.26 | (762) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(one) = v0 & leq(all_20_0_17, v1) = 0 & multiplication(v0, all_49_1_36) = v1) | ( ~ (v0 = 0) & leq(all_20_0_17, all_20_0_17) = v0))
% 222.07/175.26 |
% 222.07/175.26 | Instantiating formula (40) with all_20_0_17, all_20_0_17, all_20_0_17, all_49_1_36, one and discharging atoms multiplication(one, all_20_0_17) = all_20_0_17, addition(all_20_0_17, all_49_1_36) = all_20_0_17, yields:
% 222.07/175.26 | (763) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, all_20_0_17) = 0 & star(one) = v0 & multiplication(v0, all_49_1_36) = v1) | ( ~ (v0 = 0) & leq(all_20_0_17, all_20_0_17) = v0))
% 222.07/175.26 |
% 222.07/175.26 | Instantiating formula (12) with all_110_1_101, all_20_0_17, all_49_1_36, all_20_0_17, all_110_2_102 and discharging atoms multiplication(all_110_2_102, all_20_0_17) = all_110_1_101, addition(all_20_0_17, all_49_1_36) = all_20_0_17, yields:
% 222.07/175.26 | (764) ? [v0] : ? [v1] : (multiplication(all_110_2_102, all_49_1_36) = v1 & multiplication(all_110_2_102, all_20_0_17) = v0 & addition(v0, v1) = all_110_1_101)
% 222.07/175.26 |
% 222.07/175.26 | Instantiating formula (18) with all_20_0_17, all_20_0_17, all_20_0_17, all_49_1_36, one and discharging atoms multiplication(all_20_0_17, one) = all_20_0_17, addition(all_20_0_17, all_49_1_36) = all_20_0_17, yields:
% 222.07/175.26 | (765) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, all_20_0_17) = 0 & star(one) = v0 & multiplication(all_49_1_36, v0) = v1) | ( ~ (v0 = 0) & leq(all_20_0_17, all_20_0_17) = v0))
% 222.07/175.26 |
% 222.07/175.26 | Instantiating formula (18) with all_20_0_17, all_20_0_17, all_20_0_17, all_49_1_36, zero and discharging atoms multiplication(all_20_0_17, zero) = all_20_0_17, addition(all_20_0_17, all_49_1_36) = all_20_0_17, yields:
% 222.07/175.26 | (766) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, all_20_0_17) = 0 & star(zero) = v0 & multiplication(all_49_1_36, v0) = v1) | ( ~ (v0 = 0) & leq(all_20_0_17, all_20_0_17) = v0))
% 222.07/175.26 |
% 222.07/175.26 | Instantiating formula (22) with all_20_0_17, all_20_0_17, zero, all_49_1_36, all_20_0_17 and discharging atoms multiplication(all_20_0_17, zero) = all_20_0_17, addition(all_20_0_17, all_49_1_36) = all_20_0_17, yields:
% 222.07/175.26 | (767) ? [v0] : ? [v1] : (multiplication(all_49_1_36, zero) = v1 & multiplication(all_20_0_17, zero) = v0 & addition(v0, v1) = all_20_0_17)
% 222.07/175.26 |
% 222.07/175.26 | Instantiating formula (14) with all_0_2_2, all_20_0_17, all_85_0_61, all_20_0_17, all_49_1_36 and discharging atoms addition(all_85_0_61, all_20_0_17) = all_0_2_2, addition(all_20_0_17, all_49_1_36) = all_20_0_17, yields:
% 222.07/175.26 | (768) ? [v0] : (addition(v0, all_49_1_36) = all_0_2_2 & addition(all_85_0_61, all_20_0_17) = v0)
% 222.07/175.26 |
% 222.07/175.26 | Instantiating formula (9) with all_0_2_2, all_20_0_17, all_20_0_17, all_49_1_36, all_205_0_233 and discharging atoms addition(all_20_0_17, all_205_0_233) = all_0_2_2, addition(all_20_0_17, all_49_1_36) = all_20_0_17, yields:
% 222.07/175.26 | (769) ? [v0] : (addition(all_49_1_36, all_205_0_233) = v0 & addition(all_20_0_17, v0) = all_0_2_2)
% 222.07/175.26 |
% 222.07/175.26 | Instantiating formula (9) with all_38_0_20, all_20_0_17, all_20_0_17, all_49_1_36, all_203_0_232 and discharging atoms addition(all_20_0_17, all_203_0_232) = all_38_0_20, addition(all_20_0_17, all_49_1_36) = all_20_0_17, yields:
% 222.07/175.26 | (770) ? [v0] : (addition(all_49_1_36, all_203_0_232) = v0 & addition(all_20_0_17, v0) = all_38_0_20)
% 222.07/175.26 |
% 222.07/175.26 | Instantiating formula (23) with all_26_0_19, all_20_0_17, all_20_0_17, all_44_0_29, one and discharging atoms multiplication(one, all_20_0_17) = all_20_0_17, addition(all_20_0_17, all_44_0_29) = all_26_0_19, yields:
% 222.07/175.26 | (771) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(one) = v0 & leq(all_20_0_17, v1) = 0 & multiplication(v0, all_44_0_29) = v1) | ( ~ (v0 = 0) & leq(all_20_0_17, all_26_0_19) = v0))
% 222.07/175.26 |
% 222.07/175.26 | Instantiating formula (9) with all_26_0_19, all_26_0_19, all_20_0_17, all_44_0_29, one and discharging atoms addition(all_26_0_19, one) = all_26_0_19, addition(all_20_0_17, all_44_0_29) = all_26_0_19, yields:
% 222.07/175.26 | (772) ? [v0] : (addition(all_44_0_29, one) = v0 & addition(all_20_0_17, v0) = all_26_0_19)
% 222.07/175.26 |
% 222.07/175.26 | Instantiating formula (14) with all_26_0_19, all_44_0_29, all_20_0_17, all_0_1_1, all_20_1_18 and discharging atoms addition(all_20_0_17, all_44_0_29) = all_26_0_19, addition(all_0_1_1, all_20_1_18) = all_44_0_29, yields:
% 222.07/175.26 | (773) ? [v0] : (addition(v0, all_20_1_18) = all_26_0_19 & addition(all_20_0_17, all_0_1_1) = v0)
% 222.07/175.26 |
% 222.07/175.26 | Instantiating formula (9) with all_26_0_19, all_20_0_17, all_195_1_228, all_20_0_17, all_44_0_29 and discharging atoms addition(all_195_1_228, all_20_0_17) = all_20_0_17, addition(all_20_0_17, all_44_0_29) = all_26_0_19, yields:
% 222.07/175.26 | (774) ? [v0] : (addition(all_195_1_228, v0) = all_26_0_19 & addition(all_20_0_17, all_44_0_29) = v0)
% 222.07/175.26 |
% 222.07/175.26 | Instantiating formula (9) with all_26_0_19, all_20_0_17, all_49_1_36, all_20_0_17, all_44_0_29 and discharging atoms addition(all_49_1_36, all_20_0_17) = all_20_0_17, addition(all_20_0_17, all_44_0_29) = all_26_0_19, yields:
% 222.07/175.26 | (775) ? [v0] : (addition(all_49_1_36, v0) = all_26_0_19 & addition(all_20_0_17, all_44_0_29) = v0)
% 222.07/175.26 |
% 222.07/175.26 | Instantiating formula (18) with all_20_0_17, all_20_0_17, all_0_2_2, all_20_0_17, zero and discharging atoms multiplication(all_0_2_2, zero) = all_20_0_17, addition(all_20_0_17, all_20_0_17) = all_20_0_17, yields:
% 222.07/175.26 | (776) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, all_0_2_2) = 0 & star(zero) = v0 & multiplication(all_20_0_17, v0) = v1) | ( ~ (v0 = 0) & leq(all_20_0_17, all_0_2_2) = v0))
% 222.07/175.26 |
% 222.07/175.26 | Instantiating formula (23) with all_20_0_17, all_20_0_17, all_20_0_17, all_20_0_17, one and discharging atoms multiplication(one, all_20_0_17) = all_20_0_17, addition(all_20_0_17, all_20_0_17) = all_20_0_17, yields:
% 222.07/175.26 | (777) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(one) = v0 & leq(all_20_0_17, v1) = 0 & multiplication(v0, all_20_0_17) = v1) | ( ~ (v0 = 0) & leq(all_20_0_17, all_20_0_17) = v0))
% 222.07/175.26 |
% 222.07/175.26 | Instantiating formula (40) with all_20_0_17, all_20_0_17, all_20_0_17, all_20_0_17, one and discharging atoms multiplication(one, all_20_0_17) = all_20_0_17, addition(all_20_0_17, all_20_0_17) = all_20_0_17, yields:
% 222.07/175.26 | (778) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, all_20_0_17) = 0 & star(one) = v0 & multiplication(v0, all_20_0_17) = v1) | ( ~ (v0 = 0) & leq(all_20_0_17, all_20_0_17) = v0))
% 222.07/175.26 |
% 222.07/175.26 | Instantiating formula (12) with all_110_1_101, all_20_0_17, all_20_0_17, all_20_0_17, all_110_2_102 and discharging atoms multiplication(all_110_2_102, all_20_0_17) = all_110_1_101, addition(all_20_0_17, all_20_0_17) = all_20_0_17, yields:
% 222.07/175.26 | (779) ? [v0] : ? [v1] : (multiplication(all_110_2_102, all_20_0_17) = v1 & multiplication(all_110_2_102, all_20_0_17) = v0 & addition(v0, v1) = all_110_1_101)
% 222.07/175.26 |
% 222.07/175.26 | Instantiating formula (18) with all_20_0_17, all_20_0_17, all_20_0_17, all_20_0_17, one and discharging atoms multiplication(all_20_0_17, one) = all_20_0_17, addition(all_20_0_17, all_20_0_17) = all_20_0_17, yields:
% 222.07/175.26 | (780) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, all_20_0_17) = 0 & star(one) = v0 & multiplication(all_20_0_17, v0) = v1) | ( ~ (v0 = 0) & leq(all_20_0_17, all_20_0_17) = v0))
% 222.07/175.26 |
% 222.07/175.26 | Instantiating formula (33) with all_20_0_17, all_20_0_17, all_20_0_17, one, zero, all_20_0_17 and discharging atoms multiplication(all_20_0_17, one) = all_20_0_17, multiplication(all_20_0_17, zero) = all_20_0_17, addition(all_20_0_17, all_20_0_17) = all_20_0_17, yields:
% 222.07/175.26 | (781) ? [v0] : (multiplication(all_20_0_17, v0) = all_20_0_17 & addition(zero, one) = v0)
% 222.07/175.26 |
% 222.07/175.26 | Instantiating formula (18) with all_20_0_17, all_20_0_17, all_20_0_17, all_20_0_17, zero and discharging atoms multiplication(all_20_0_17, zero) = all_20_0_17, addition(all_20_0_17, all_20_0_17) = all_20_0_17, yields:
% 222.07/175.26 | (782) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, all_20_0_17) = 0 & star(zero) = v0 & multiplication(all_20_0_17, v0) = v1) | ( ~ (v0 = 0) & leq(all_20_0_17, all_20_0_17) = v0))
% 222.07/175.26 |
% 222.07/175.26 | Instantiating formula (27) with all_20_0_17, all_20_0_17, all_20_0_17, zero, all_20_0_17, all_0_2_2 and discharging atoms multiplication(all_20_0_17, zero) = all_20_0_17, multiplication(all_0_2_2, zero) = all_20_0_17, addition(all_20_0_17, all_20_0_17) = all_20_0_17, yields:
% 222.07/175.26 | (783) ? [v0] : (multiplication(v0, zero) = all_20_0_17 & addition(all_0_2_2, all_20_0_17) = v0)
% 222.07/175.26 |
% 222.07/175.26 | Instantiating formula (33) with all_20_0_17, all_20_0_17, all_20_0_17, zero, one, all_20_0_17 and discharging atoms multiplication(all_20_0_17, one) = all_20_0_17, multiplication(all_20_0_17, zero) = all_20_0_17, addition(all_20_0_17, all_20_0_17) = all_20_0_17, yields:
% 222.07/175.26 | (784) ? [v0] : (multiplication(all_20_0_17, v0) = all_20_0_17 & addition(one, zero) = v0)
% 222.07/175.26 |
% 222.07/175.26 | Instantiating formula (9) with all_0_2_2, all_20_0_17, all_20_0_17, all_20_0_17, all_20_1_18 and discharging atoms addition(all_20_0_17, all_20_0_17) = all_20_0_17, addition(all_20_0_17, all_20_1_18) = all_0_2_2, yields:
% 222.07/175.26 | (785) ? [v0] : (addition(all_20_0_17, v0) = all_0_2_2 & addition(all_20_0_17, all_20_1_18) = v0)
% 222.07/175.26 |
% 222.07/175.26 | Instantiating formula (9) with all_38_0_20, all_20_0_17, all_20_0_17, all_20_0_17, one and discharging atoms addition(all_20_0_17, all_20_0_17) = all_20_0_17, addition(all_20_0_17, one) = all_38_0_20, yields:
% 222.07/175.26 | (786) ? [v0] : (addition(all_20_0_17, v0) = all_38_0_20 & addition(all_20_0_17, one) = v0)
% 222.07/175.26 |
% 222.07/175.26 | Instantiating formula (14) with all_0_2_2, all_20_0_17, all_85_0_61, all_20_0_17, all_20_0_17 and discharging atoms addition(all_85_0_61, all_20_0_17) = all_0_2_2, addition(all_20_0_17, all_20_0_17) = all_20_0_17, yields:
% 222.07/175.26 | (787) ? [v0] : (addition(v0, all_20_0_17) = all_0_2_2 & addition(all_85_0_61, all_20_0_17) = v0)
% 222.07/175.26 |
% 222.07/175.26 | Instantiating formula (9) with all_20_0_17, all_20_0_17, all_49_1_36, all_178_0_198, all_20_0_17 and discharging atoms addition(all_49_1_36, all_178_0_198) = all_20_0_17, addition(all_20_0_17, all_20_0_17) = all_20_0_17, yields:
% 222.07/175.26 | (788) ? [v0] : (addition(all_178_0_198, all_20_0_17) = v0 & addition(all_49_1_36, v0) = all_20_0_17)
% 222.07/175.26 |
% 222.07/175.26 | Instantiating formula (9) with all_26_0_19, all_20_0_17, all_20_0_17, all_20_0_17, all_44_0_29 and discharging atoms addition(all_20_0_17, all_44_0_29) = all_26_0_19, addition(all_20_0_17, all_20_0_17) = all_20_0_17, yields:
% 222.07/175.26 | (789) ? [v0] : (addition(all_20_0_17, v0) = all_26_0_19 & addition(all_20_0_17, all_44_0_29) = v0)
% 222.07/175.26 |
% 222.07/175.26 | Instantiating formula (16) with all_20_0_17, all_20_0_17 and discharging atoms addition(all_20_0_17, all_20_0_17) = all_20_0_17, yields:
% 222.07/175.26 | (790) leq(all_20_0_17, all_20_0_17) = 0
% 222.07/175.26 |
% 222.07/175.26 | Instantiating formula (23) with all_155_0_166, all_20_0_17, all_20_0_17, all_0_1_1, one and discharging atoms multiplication(one, all_20_0_17) = all_20_0_17, addition(all_20_0_17, all_0_1_1) = all_155_0_166, yields:
% 222.07/175.26 | (791) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(one) = v0 & leq(all_20_0_17, v1) = 0 & multiplication(v0, all_0_1_1) = v1) | ( ~ (v0 = 0) & leq(all_20_0_17, all_155_0_166) = v0))
% 222.07/175.26 |
% 222.07/175.26 | Instantiating formula (9) with all_155_0_166, all_20_0_17, all_20_0_17, zero, all_0_1_1 and discharging atoms addition(all_20_0_17, all_0_1_1) = all_155_0_166, addition(all_20_0_17, zero) = all_20_0_17, yields:
% 222.07/175.26 | (792) ? [v0] : (addition(all_20_0_17, v0) = all_155_0_166 & addition(zero, all_0_1_1) = v0)
% 222.07/175.26 |
% 222.07/175.26 | Instantiating formula (9) with all_155_0_166, all_20_0_17, all_195_1_228, all_20_0_17, all_0_1_1 and discharging atoms addition(all_195_1_228, all_20_0_17) = all_20_0_17, addition(all_20_0_17, all_0_1_1) = all_155_0_166, yields:
% 222.07/175.26 | (793) ? [v0] : (addition(all_195_1_228, v0) = all_155_0_166 & addition(all_20_0_17, all_0_1_1) = v0)
% 222.07/175.26 |
% 222.07/175.26 | Instantiating formula (9) with all_155_0_166, all_20_0_17, all_49_1_36, all_178_0_198, all_0_1_1 and discharging atoms addition(all_49_1_36, all_178_0_198) = all_20_0_17, addition(all_20_0_17, all_0_1_1) = all_155_0_166, yields:
% 222.07/175.26 | (794) ? [v0] : (addition(all_178_0_198, all_0_1_1) = v0 & addition(all_49_1_36, v0) = all_155_0_166)
% 222.07/175.26 |
% 222.07/175.26 | Instantiating formula (9) with all_155_0_166, all_20_0_17, all_49_1_36, all_20_0_17, all_0_1_1 and discharging atoms addition(all_49_1_36, all_20_0_17) = all_20_0_17, addition(all_20_0_17, all_0_1_1) = all_155_0_166, yields:
% 222.07/175.26 | (795) ? [v0] : (addition(all_49_1_36, v0) = all_155_0_166 & addition(all_20_0_17, all_0_1_1) = v0)
% 222.07/175.26 |
% 222.07/175.26 | Instantiating formula (9) with all_155_0_166, all_20_0_17, all_20_0_17, all_49_1_36, all_0_1_1 and discharging atoms addition(all_20_0_17, all_49_1_36) = all_20_0_17, addition(all_20_0_17, all_0_1_1) = all_155_0_166, yields:
% 222.07/175.26 | (796) ? [v0] : (addition(all_49_1_36, all_0_1_1) = v0 & addition(all_20_0_17, v0) = all_155_0_166)
% 222.07/175.26 |
% 222.07/175.26 | Instantiating formula (9) with all_155_0_166, all_20_0_17, all_20_0_17, all_20_0_17, all_0_1_1 and discharging atoms addition(all_20_0_17, all_20_0_17) = all_20_0_17, addition(all_20_0_17, all_0_1_1) = all_155_0_166, yields:
% 222.07/175.26 | (797) ? [v0] : (addition(all_20_0_17, v0) = all_155_0_166 & addition(all_20_0_17, all_0_1_1) = v0)
% 222.07/175.26 |
% 222.07/175.26 | Instantiating formula (23) with all_26_0_19, all_20_1_18, one, all_155_0_166, all_20_1_18 and discharging atoms multiplication(all_20_1_18, one) = all_20_1_18, addition(all_20_1_18, all_155_0_166) = all_26_0_19, yields:
% 222.07/175.26 | (798) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(all_20_1_18) = v0 & leq(one, v1) = 0 & multiplication(v0, all_155_0_166) = v1) | ( ~ (v0 = 0) & leq(one, all_26_0_19) = v0))
% 222.07/175.26 |
% 222.07/175.26 | Instantiating formula (23) with all_26_0_19, all_20_1_18, all_20_1_18, all_155_0_166, one and discharging atoms multiplication(one, all_20_1_18) = all_20_1_18, addition(all_20_1_18, all_155_0_166) = all_26_0_19, yields:
% 222.07/175.26 | (799) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(one) = v0 & leq(all_20_1_18, v1) = 0 & multiplication(v0, all_155_0_166) = v1) | ( ~ (v0 = 0) & leq(all_20_1_18, all_26_0_19) = v0))
% 222.07/175.26 |
% 222.07/175.26 | Instantiating formula (9) with all_26_0_19, all_26_0_19, all_20_1_18, all_155_0_166, zero and discharging atoms addition(all_26_0_19, zero) = all_26_0_19, addition(all_20_1_18, all_155_0_166) = all_26_0_19, yields:
% 222.07/175.26 | (800) ? [v0] : (addition(all_155_0_166, zero) = v0 & addition(all_20_1_18, v0) = all_26_0_19)
% 222.07/175.26 |
% 222.07/175.26 | Instantiating formula (23) with all_26_0_19, all_20_1_18, one, all_152_0_162, all_20_1_18 and discharging atoms multiplication(all_20_1_18, one) = all_20_1_18, addition(all_20_1_18, all_152_0_162) = all_26_0_19, yields:
% 222.07/175.26 | (801) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(all_20_1_18) = v0 & leq(one, v1) = 0 & multiplication(v0, all_152_0_162) = v1) | ( ~ (v0 = 0) & leq(one, all_26_0_19) = v0))
% 222.07/175.26 |
% 222.07/175.26 | Instantiating formula (23) with all_26_0_19, all_20_1_18, all_20_1_18, all_152_0_162, one and discharging atoms multiplication(one, all_20_1_18) = all_20_1_18, addition(all_20_1_18, all_152_0_162) = all_26_0_19, yields:
% 222.07/175.26 | (802) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(one) = v0 & leq(all_20_1_18, v1) = 0 & multiplication(v0, all_152_0_162) = v1) | ( ~ (v0 = 0) & leq(all_20_1_18, all_26_0_19) = v0))
% 222.07/175.26 |
% 222.07/175.26 | Instantiating formula (18) with all_85_0_61, all_20_1_18, all_20_1_18, all_49_1_36, one and discharging atoms multiplication(all_20_1_18, one) = all_20_1_18, addition(all_20_1_18, all_49_1_36) = all_85_0_61, yields:
% 222.07/175.26 | (803) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, all_20_1_18) = 0 & star(one) = v0 & multiplication(all_49_1_36, v0) = v1) | ( ~ (v0 = 0) & leq(all_85_0_61, all_20_1_18) = v0))
% 222.07/175.26 |
% 222.07/175.26 | Instantiating formula (23) with all_85_0_61, all_20_1_18, one, all_49_1_36, all_20_1_18 and discharging atoms multiplication(all_20_1_18, one) = all_20_1_18, addition(all_20_1_18, all_49_1_36) = all_85_0_61, yields:
% 222.07/175.26 | (804) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(all_20_1_18) = v0 & leq(one, v1) = 0 & multiplication(v0, all_49_1_36) = v1) | ( ~ (v0 = 0) & leq(one, all_85_0_61) = v0))
% 222.07/175.26 |
% 222.07/175.26 | Instantiating formula (40) with all_85_0_61, all_20_1_18, one, all_49_1_36, all_20_1_18 and discharging atoms multiplication(all_20_1_18, one) = all_20_1_18, addition(all_20_1_18, all_49_1_36) = all_85_0_61, yields:
% 222.07/175.26 | (805) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, one) = 0 & star(all_20_1_18) = v0 & multiplication(v0, all_49_1_36) = v1) | ( ~ (v0 = 0) & leq(all_85_0_61, one) = v0))
% 222.07/175.26 |
% 222.07/175.26 | Instantiating formula (33) with all_85_0_61, all_49_1_36, all_20_1_18, zero, one, all_20_1_18 and discharging atoms multiplication(all_20_1_18, one) = all_20_1_18, multiplication(all_20_1_18, zero) = all_49_1_36, addition(all_20_1_18, all_49_1_36) = all_85_0_61, yields:
% 222.07/175.27 | (806) ? [v0] : (multiplication(all_20_1_18, v0) = all_85_0_61 & addition(one, zero) = v0)
% 222.07/175.27 |
% 222.07/175.27 | Instantiating formula (18) with all_85_0_61, all_20_1_18, one, all_49_1_36, all_20_1_18 and discharging atoms multiplication(one, all_20_1_18) = all_20_1_18, addition(all_20_1_18, all_49_1_36) = all_85_0_61, yields:
% 222.07/175.27 | (807) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, one) = 0 & star(all_20_1_18) = v0 & multiplication(all_49_1_36, v0) = v1) | ( ~ (v0 = 0) & leq(all_85_0_61, one) = v0))
% 222.07/175.27 |
% 222.07/175.27 | Instantiating formula (23) with all_85_0_61, all_20_1_18, all_20_1_18, all_49_1_36, one and discharging atoms multiplication(one, all_20_1_18) = all_20_1_18, addition(all_20_1_18, all_49_1_36) = all_85_0_61, yields:
% 222.07/175.27 | (808) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(one) = v0 & leq(all_20_1_18, v1) = 0 & multiplication(v0, all_49_1_36) = v1) | ( ~ (v0 = 0) & leq(all_20_1_18, all_85_0_61) = v0))
% 222.07/175.27 |
% 222.07/175.27 | Instantiating formula (40) with all_85_0_61, all_20_1_18, all_20_1_18, all_49_1_36, one and discharging atoms multiplication(one, all_20_1_18) = all_20_1_18, addition(all_20_1_18, all_49_1_36) = all_85_0_61, yields:
% 222.07/175.27 | (809) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, all_20_1_18) = 0 & star(one) = v0 & multiplication(v0, all_49_1_36) = v1) | ( ~ (v0 = 0) & leq(all_85_0_61, all_20_1_18) = v0))
% 222.07/175.27 |
% 222.07/175.27 | Instantiating formula (33) with all_85_0_61, all_49_1_36, all_20_1_18, all_49_1_36, all_20_1_18, one and discharging atoms multiplication(one, all_49_1_36) = all_49_1_36, multiplication(one, all_20_1_18) = all_20_1_18, addition(all_20_1_18, all_49_1_36) = all_85_0_61, yields:
% 222.07/175.27 | (810) ? [v0] : (multiplication(one, v0) = all_85_0_61 & addition(all_20_1_18, all_49_1_36) = v0)
% 222.07/175.27 |
% 222.07/175.27 | Instantiating formula (9) with all_85_0_61, all_20_1_18, one, all_20_1_18, all_49_1_36 and discharging atoms addition(all_20_1_18, all_49_1_36) = all_85_0_61, addition(one, all_20_1_18) = all_20_1_18, yields:
% 222.07/175.27 | (811) ? [v0] : (addition(all_20_1_18, all_49_1_36) = v0 & addition(one, v0) = all_85_0_61)
% 222.07/175.27 |
% 222.07/175.27 | Instantiating formula (18) with all_20_1_18, all_20_1_18, all_20_1_18, all_20_1_18, one and discharging atoms multiplication(all_20_1_18, one) = all_20_1_18, addition(all_20_1_18, all_20_1_18) = all_20_1_18, yields:
% 222.07/175.27 | (812) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, all_20_1_18) = 0 & star(one) = v0 & multiplication(all_20_1_18, v0) = v1) | ( ~ (v0 = 0) & leq(all_20_1_18, all_20_1_18) = v0))
% 222.07/175.27 |
% 222.07/175.27 | Instantiating formula (23) with all_20_1_18, all_20_1_18, one, all_20_1_18, all_20_1_18 and discharging atoms multiplication(all_20_1_18, one) = all_20_1_18, addition(all_20_1_18, all_20_1_18) = all_20_1_18, yields:
% 222.07/175.27 | (813) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(all_20_1_18) = v0 & leq(one, v1) = 0 & multiplication(v0, all_20_1_18) = v1) | ( ~ (v0 = 0) & leq(one, all_20_1_18) = v0))
% 222.07/175.27 |
% 222.07/175.27 | Instantiating formula (40) with all_20_1_18, all_20_1_18, one, all_20_1_18, all_20_1_18 and discharging atoms multiplication(all_20_1_18, one) = all_20_1_18, addition(all_20_1_18, all_20_1_18) = all_20_1_18, yields:
% 222.07/175.27 | (814) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, one) = 0 & star(all_20_1_18) = v0 & multiplication(v0, all_20_1_18) = v1) | ( ~ (v0 = 0) & leq(all_20_1_18, one) = v0))
% 222.07/175.27 |
% 222.07/175.27 | Instantiating formula (18) with all_20_1_18, all_20_1_18, one, all_20_1_18, all_20_1_18 and discharging atoms multiplication(one, all_20_1_18) = all_20_1_18, addition(all_20_1_18, all_20_1_18) = all_20_1_18, yields:
% 222.07/175.27 | (815) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, one) = 0 & star(all_20_1_18) = v0 & multiplication(all_20_1_18, v0) = v1) | ( ~ (v0 = 0) & leq(all_20_1_18, one) = v0))
% 222.07/175.27 |
% 222.07/175.27 | Instantiating formula (23) with all_20_1_18, all_20_1_18, all_20_1_18, all_20_1_18, one and discharging atoms multiplication(one, all_20_1_18) = all_20_1_18, addition(all_20_1_18, all_20_1_18) = all_20_1_18, yields:
% 222.07/175.27 | (816) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(one) = v0 & leq(all_20_1_18, v1) = 0 & multiplication(v0, all_20_1_18) = v1) | ( ~ (v0 = 0) & leq(all_20_1_18, all_20_1_18) = v0))
% 222.07/175.27 |
% 222.07/175.27 | Instantiating formula (40) with all_20_1_18, all_20_1_18, all_20_1_18, all_20_1_18, one and discharging atoms multiplication(one, all_20_1_18) = all_20_1_18, addition(all_20_1_18, all_20_1_18) = all_20_1_18, yields:
% 222.07/175.27 | (817) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, all_20_1_18) = 0 & star(one) = v0 & multiplication(v0, all_20_1_18) = v1) | ( ~ (v0 = 0) & leq(all_20_1_18, all_20_1_18) = v0))
% 222.07/175.27 |
% 222.07/175.27 | Instantiating formula (22) with all_130_1_131, all_20_1_18, all_20_1_18, all_20_1_18, all_20_1_18 and discharging atoms multiplication(all_20_1_18, all_20_1_18) = all_130_1_131, addition(all_20_1_18, all_20_1_18) = all_20_1_18, yields:
% 222.07/175.27 | (818) ? [v0] : ? [v1] : (multiplication(all_20_1_18, all_20_1_18) = v1 & multiplication(all_20_1_18, all_20_1_18) = v0 & addition(v0, v1) = all_130_1_131)
% 222.07/175.27 |
% 222.07/175.27 | Instantiating formula (14) with all_0_2_2, all_20_1_18, all_20_0_17, all_20_1_18, all_20_1_18 and discharging atoms addition(all_20_0_17, all_20_1_18) = all_0_2_2, addition(all_20_1_18, all_20_1_18) = all_20_1_18, yields:
% 222.07/175.27 | (819) ? [v0] : (addition(v0, all_20_1_18) = all_0_2_2 & addition(all_20_0_17, all_20_1_18) = v0)
% 222.07/175.27 |
% 222.07/175.27 | Instantiating formula (9) with all_85_0_61, all_20_1_18, all_20_1_18, all_20_1_18, all_49_1_36 and discharging atoms addition(all_20_1_18, all_49_1_36) = all_85_0_61, addition(all_20_1_18, all_20_1_18) = all_20_1_18, yields:
% 222.07/175.27 | (820) ? [v0] : (addition(all_20_1_18, v0) = all_85_0_61 & addition(all_20_1_18, all_49_1_36) = v0)
% 222.07/175.27 |
% 222.07/175.27 | Instantiating formula (23) with all_44_0_29, all_20_1_18, one, all_0_1_1, all_20_1_18 and discharging atoms multiplication(all_20_1_18, one) = all_20_1_18, addition(all_20_1_18, all_0_1_1) = all_44_0_29, yields:
% 222.07/175.27 | (821) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(all_20_1_18) = v0 & leq(one, v1) = 0 & multiplication(v0, all_0_1_1) = v1) | ( ~ (v0 = 0) & leq(one, all_44_0_29) = v0))
% 222.07/175.27 |
% 222.07/175.27 | Instantiating formula (23) with all_44_0_29, all_20_1_18, all_20_1_18, all_0_1_1, one and discharging atoms multiplication(one, all_20_1_18) = all_20_1_18, addition(all_20_1_18, all_0_1_1) = all_44_0_29, yields:
% 222.07/175.27 | (822) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(one) = v0 & leq(all_20_1_18, v1) = 0 & multiplication(v0, all_0_1_1) = v1) | ( ~ (v0 = 0) & leq(all_20_1_18, all_44_0_29) = v0))
% 222.07/175.27 |
% 222.07/175.27 | Instantiating formula (9) with all_44_0_29, all_20_1_18, one, all_20_1_18, all_0_1_1 and discharging atoms addition(all_20_1_18, all_0_1_1) = all_44_0_29, addition(one, all_20_1_18) = all_20_1_18, yields:
% 222.07/175.27 | (823) ? [v0] : (addition(all_20_1_18, all_0_1_1) = v0 & addition(one, v0) = all_44_0_29)
% 222.07/175.27 |
% 222.07/175.27 | Instantiating formula (9) with all_135_0_141, all_44_0_29, all_20_1_18, all_0_1_1, all_49_1_36 and discharging atoms addition(all_44_0_29, all_49_1_36) = all_135_0_141, addition(all_20_1_18, all_0_1_1) = all_44_0_29, yields:
% 222.07/175.27 | (824) ? [v0] : (addition(all_20_1_18, v0) = all_135_0_141 & addition(all_0_1_1, all_49_1_36) = v0)
% 222.07/175.27 |
% 222.07/175.27 | Instantiating formula (9) with all_44_0_29, all_20_1_18, all_20_1_18, all_20_1_18, all_0_1_1 and discharging atoms addition(all_20_1_18, all_20_1_18) = all_20_1_18, addition(all_20_1_18, all_0_1_1) = all_44_0_29, yields:
% 222.07/175.27 | (825) ? [v0] : (addition(all_20_1_18, v0) = all_44_0_29 & addition(all_20_1_18, all_0_1_1) = v0)
% 222.07/175.27 |
% 222.07/175.27 | Instantiating formula (18) with all_20_1_18, all_20_1_18, all_20_1_18, one, one and discharging atoms multiplication(all_20_1_18, one) = all_20_1_18, addition(all_20_1_18, one) = all_20_1_18, yields:
% 222.07/175.27 | (826) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, all_20_1_18) = 0 & star(one) = v0 & multiplication(one, v0) = v1) | ( ~ (v0 = 0) & leq(all_20_1_18, all_20_1_18) = v0))
% 222.07/175.27 |
% 222.07/175.27 | Instantiating formula (23) with all_20_1_18, all_20_1_18, one, one, all_20_1_18 and discharging atoms multiplication(all_20_1_18, one) = all_20_1_18, addition(all_20_1_18, one) = all_20_1_18, yields:
% 222.07/175.27 | (827) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(all_20_1_18) = v0 & leq(one, v1) = 0 & multiplication(v0, one) = v1) | ( ~ (v0 = 0) & leq(one, all_20_1_18) = v0))
% 222.07/175.27 |
% 222.07/175.27 | Instantiating formula (40) with all_20_1_18, all_20_1_18, one, one, all_20_1_18 and discharging atoms multiplication(all_20_1_18, one) = all_20_1_18, addition(all_20_1_18, one) = all_20_1_18, yields:
% 222.07/175.27 | (828) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, one) = 0 & star(all_20_1_18) = v0 & multiplication(v0, one) = v1) | ( ~ (v0 = 0) & leq(all_20_1_18, one) = v0))
% 222.07/175.27 |
% 222.07/175.27 | Instantiating formula (22) with all_49_1_36, all_20_1_18, zero, one, all_20_1_18 and discharging atoms multiplication(all_20_1_18, zero) = all_49_1_36, addition(all_20_1_18, one) = all_20_1_18, yields:
% 222.07/175.27 | (829) ? [v0] : ? [v1] : (multiplication(all_20_1_18, zero) = v0 & multiplication(one, zero) = v1 & addition(v0, v1) = all_49_1_36)
% 222.07/175.27 |
% 222.07/175.27 | Instantiating formula (18) with all_20_1_18, all_20_1_18, one, one, all_20_1_18 and discharging atoms multiplication(one, all_20_1_18) = all_20_1_18, addition(all_20_1_18, one) = all_20_1_18, yields:
% 222.07/175.27 | (830) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, one) = 0 & star(all_20_1_18) = v0 & multiplication(one, v0) = v1) | ( ~ (v0 = 0) & leq(all_20_1_18, one) = v0))
% 222.07/175.27 |
% 222.07/175.27 | Instantiating formula (23) with all_20_1_18, all_20_1_18, all_20_1_18, one, one and discharging atoms multiplication(one, all_20_1_18) = all_20_1_18, addition(all_20_1_18, one) = all_20_1_18, yields:
% 222.07/175.27 | (831) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(one) = v0 & leq(all_20_1_18, v1) = 0 & multiplication(v0, one) = v1) | ( ~ (v0 = 0) & leq(all_20_1_18, all_20_1_18) = v0))
% 222.07/175.27 |
% 222.07/175.27 | Instantiating formula (40) with all_20_1_18, all_20_1_18, all_20_1_18, one, one and discharging atoms multiplication(one, all_20_1_18) = all_20_1_18, addition(all_20_1_18, one) = all_20_1_18, yields:
% 222.07/175.27 | (832) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, all_20_1_18) = 0 & star(one) = v0 & multiplication(v0, one) = v1) | ( ~ (v0 = 0) & leq(all_20_1_18, all_20_1_18) = v0))
% 222.07/175.27 |
% 222.07/175.27 | Instantiating formula (22) with all_130_1_131, all_20_1_18, all_20_1_18, one, all_20_1_18 and discharging atoms multiplication(all_20_1_18, all_20_1_18) = all_130_1_131, addition(all_20_1_18, one) = all_20_1_18, yields:
% 222.07/175.27 | (833) ? [v0] : ? [v1] : (multiplication(all_20_1_18, all_20_1_18) = v0 & multiplication(one, all_20_1_18) = v1 & addition(v0, v1) = all_130_1_131)
% 222.07/175.27 |
% 222.07/175.27 | Instantiating formula (12) with all_130_1_131, all_20_1_18, one, all_20_1_18, all_20_1_18 and discharging atoms multiplication(all_20_1_18, all_20_1_18) = all_130_1_131, addition(all_20_1_18, one) = all_20_1_18, yields:
% 222.07/175.27 | (834) ? [v0] : ? [v1] : (multiplication(all_20_1_18, all_20_1_18) = v0 & multiplication(all_20_1_18, one) = v1 & addition(v0, v1) = all_130_1_131)
% 222.07/175.27 |
% 222.07/175.27 | Instantiating formula (12) with all_131_1_134, all_20_1_18, one, all_20_1_18, all_0_2_2 and discharging atoms multiplication(all_0_2_2, all_20_1_18) = all_131_1_134, addition(all_20_1_18, one) = all_20_1_18, yields:
% 222.07/175.27 | (835) ? [v0] : ? [v1] : (multiplication(all_0_2_2, all_20_1_18) = v0 & multiplication(all_0_2_2, one) = v1 & addition(v0, v1) = all_131_1_134)
% 222.07/175.27 |
% 222.07/175.27 | Instantiating formula (9) with all_85_0_61, all_20_1_18, all_20_1_18, one, all_49_1_36 and discharging atoms addition(all_20_1_18, all_49_1_36) = all_85_0_61, addition(all_20_1_18, one) = all_20_1_18, yields:
% 222.07/175.27 | (836) ? [v0] : (addition(all_20_1_18, v0) = all_85_0_61 & addition(one, all_49_1_36) = v0)
% 222.07/175.27 |
% 222.07/175.27 | Instantiating formula (9) with all_44_0_29, all_20_1_18, all_20_1_18, one, all_0_1_1 and discharging atoms addition(all_20_1_18, all_0_1_1) = all_44_0_29, addition(all_20_1_18, one) = all_20_1_18, yields:
% 222.07/175.27 | (837) ? [v0] : (addition(all_20_1_18, v0) = all_44_0_29 & addition(one, all_0_1_1) = v0)
% 222.07/175.27 |
% 222.07/175.27 | Instantiating formula (21) with all_20_1_18, one, all_20_1_18 and discharging atoms addition(all_20_1_18, one) = all_20_1_18, yields:
% 222.07/175.27 | (838) all_20_1_18 = one | ? [v0] : ( ~ (v0 = 0) & leq(all_20_1_18, one) = v0)
% 222.07/175.27 |
% 222.07/175.27 | Instantiating formula (14) with all_120_0_110, all_20_0_17, all_0_1_1, all_195_1_228, all_20_0_17 and discharging atoms addition(all_195_1_228, all_20_0_17) = all_20_0_17, addition(all_0_1_1, all_20_0_17) = all_120_0_110, yields:
% 222.07/175.27 | (839) ? [v0] : (addition(v0, all_20_0_17) = all_120_0_110 & addition(all_0_1_1, all_195_1_228) = v0)
% 222.07/175.27 |
% 222.07/175.27 | Instantiating formula (14) with all_120_0_110, all_20_0_17, all_0_1_1, all_49_1_36, all_178_0_198 and discharging atoms addition(all_49_1_36, all_178_0_198) = all_20_0_17, addition(all_0_1_1, all_20_0_17) = all_120_0_110, yields:
% 222.07/175.27 | (840) ? [v0] : (addition(v0, all_178_0_198) = all_120_0_110 & addition(all_0_1_1, all_49_1_36) = v0)
% 222.07/175.27 |
% 222.07/175.27 | Instantiating formula (14) with all_120_0_110, all_20_0_17, all_0_1_1, all_49_1_36, all_20_0_17 and discharging atoms addition(all_49_1_36, all_20_0_17) = all_20_0_17, addition(all_0_1_1, all_20_0_17) = all_120_0_110, yields:
% 222.07/175.27 | (841) ? [v0] : (addition(v0, all_20_0_17) = all_120_0_110 & addition(all_0_1_1, all_49_1_36) = v0)
% 222.07/175.27 |
% 222.07/175.27 | Instantiating formula (38) with all_120_0_110, all_0_1_1, all_20_0_17 and discharging atoms addition(all_0_1_1, all_20_0_17) = all_120_0_110, yields:
% 222.07/175.27 | (842) addition(all_20_0_17, all_0_1_1) = all_120_0_110
% 222.07/175.27 |
% 222.07/175.27 | Instantiating formula (38) with all_162_0_173, all_0_1_1, one and discharging atoms addition(all_0_1_1, one) = all_162_0_173, yields:
% 222.07/175.27 | (843) addition(one, all_0_1_1) = all_162_0_173
% 222.07/175.27 |
% 222.07/175.27 | Instantiating formula (23) with all_26_0_19, all_0_2_2, all_0_2_2, all_162_0_173, one and discharging atoms multiplication(one, all_0_2_2) = all_0_2_2, addition(all_0_2_2, all_162_0_173) = all_26_0_19, yields:
% 222.07/175.27 | (844) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(one) = v0 & leq(all_0_2_2, v1) = 0 & multiplication(v0, all_162_0_173) = v1) | ( ~ (v0 = 0) & leq(all_0_2_2, all_26_0_19) = v0))
% 222.07/175.27 |
% 222.07/175.27 | Instantiating formula (9) with all_26_0_19, all_0_2_2, all_85_0_61, all_20_0_17, all_162_0_173 and discharging atoms addition(all_85_0_61, all_20_0_17) = all_0_2_2, addition(all_0_2_2, all_162_0_173) = all_26_0_19, yields:
% 222.07/175.27 | (845) ? [v0] : (addition(all_85_0_61, v0) = all_26_0_19 & addition(all_20_0_17, all_162_0_173) = v0)
% 222.07/175.27 |
% 222.07/175.27 | Instantiating formula (9) with all_26_0_19, all_0_2_2, all_20_0_17, all_205_0_233, all_162_0_173 and discharging atoms addition(all_20_0_17, all_205_0_233) = all_0_2_2, addition(all_0_2_2, all_162_0_173) = all_26_0_19, yields:
% 222.07/175.27 | (846) ? [v0] : (addition(all_205_0_233, all_162_0_173) = v0 & addition(all_20_0_17, v0) = all_26_0_19)
% 222.07/175.27 |
% 222.07/175.27 | Instantiating formula (23) with all_26_0_19, all_0_2_2, all_0_2_2, all_147_0_152, one and discharging atoms multiplication(one, all_0_2_2) = all_0_2_2, addition(all_0_2_2, all_147_0_152) = all_26_0_19, yields:
% 222.07/175.27 | (847) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(one) = v0 & leq(all_0_2_2, v1) = 0 & multiplication(v0, all_147_0_152) = v1) | ( ~ (v0 = 0) & leq(all_0_2_2, all_26_0_19) = v0))
% 222.07/175.27 |
% 222.07/175.27 | Instantiating formula (9) with all_26_0_19, all_26_0_19, all_0_2_2, all_147_0_152, one and discharging atoms addition(all_26_0_19, one) = all_26_0_19, addition(all_0_2_2, all_147_0_152) = all_26_0_19, yields:
% 222.07/175.27 | (848) ? [v0] : (addition(all_147_0_152, one) = v0 & addition(all_0_2_2, v0) = all_26_0_19)
% 222.07/175.27 |
% 222.07/175.27 | Instantiating formula (9) with all_26_0_19, all_0_2_2, all_85_0_61, all_20_0_17, all_147_0_152 and discharging atoms addition(all_85_0_61, all_20_0_17) = all_0_2_2, addition(all_0_2_2, all_147_0_152) = all_26_0_19, yields:
% 222.07/175.27 | (849) ? [v0] : (addition(all_85_0_61, v0) = all_26_0_19 & addition(all_20_0_17, all_147_0_152) = v0)
% 222.07/175.27 |
% 222.07/175.27 | Instantiating formula (9) with all_26_0_19, all_0_2_2, all_38_0_20, all_20_1_18, all_147_0_152 and discharging atoms addition(all_38_0_20, all_20_1_18) = all_0_2_2, addition(all_0_2_2, all_147_0_152) = all_26_0_19, yields:
% 222.07/175.27 | (850) ? [v0] : (addition(all_38_0_20, v0) = all_26_0_19 & addition(all_20_1_18, all_147_0_152) = v0)
% 222.07/175.27 |
% 222.07/175.27 | Instantiating formula (9) with all_26_0_19, all_0_2_2, all_20_0_17, all_205_0_233, all_147_0_152 and discharging atoms addition(all_20_0_17, all_205_0_233) = all_0_2_2, addition(all_0_2_2, all_147_0_152) = all_26_0_19, yields:
% 222.07/175.27 | (851) ? [v0] : (addition(all_205_0_233, all_147_0_152) = v0 & addition(all_20_0_17, v0) = all_26_0_19)
% 222.07/175.27 |
% 222.07/175.27 | Instantiating formula (21) with all_26_0_19, all_147_0_152, all_0_2_2 and discharging atoms addition(all_0_2_2, all_147_0_152) = all_26_0_19, yields:
% 222.07/175.27 | (852) all_147_0_152 = all_26_0_19 | ? [v0] : ( ~ (v0 = 0) & leq(all_0_2_2, all_147_0_152) = v0)
% 222.07/175.27 |
% 222.07/175.27 | Instantiating formula (23) with all_0_2_2, all_0_2_2, all_0_2_2, all_0_2_2, one and discharging atoms multiplication(one, all_0_2_2) = all_0_2_2, addition(all_0_2_2, all_0_2_2) = all_0_2_2, yields:
% 222.07/175.27 | (853) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(one) = v0 & leq(all_0_2_2, v1) = 0 & multiplication(v0, all_0_2_2) = v1) | ( ~ (v0 = 0) & leq(all_0_2_2, all_0_2_2) = v0))
% 222.07/175.27 |
% 222.07/175.27 | Instantiating formula (40) with all_0_2_2, all_0_2_2, all_0_2_2, all_0_2_2, one and discharging atoms multiplication(one, all_0_2_2) = all_0_2_2, addition(all_0_2_2, all_0_2_2) = all_0_2_2, yields:
% 222.07/175.27 | (854) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, all_0_2_2) = 0 & star(one) = v0 & multiplication(v0, all_0_2_2) = v1) | ( ~ (v0 = 0) & leq(all_0_2_2, all_0_2_2) = v0))
% 222.07/175.27 |
% 222.07/175.27 | Instantiating formula (22) with all_131_1_134, all_0_2_2, all_20_1_18, all_0_2_2, all_0_2_2 and discharging atoms multiplication(all_0_2_2, all_20_1_18) = all_131_1_134, addition(all_0_2_2, all_0_2_2) = all_0_2_2, yields:
% 222.07/175.27 | (855) ? [v0] : ? [v1] : (multiplication(all_0_2_2, all_20_1_18) = v1 & multiplication(all_0_2_2, all_20_1_18) = v0 & addition(v0, v1) = all_131_1_134)
% 222.07/175.28 |
% 222.07/175.28 | Instantiating formula (22) with all_127_1_122, all_0_2_2, all_0_2_2, all_0_2_2, all_0_2_2 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_127_1_122, addition(all_0_2_2, all_0_2_2) = all_0_2_2, yields:
% 222.07/175.28 | (856) ? [v0] : ? [v1] : (multiplication(all_0_2_2, all_0_2_2) = v1 & multiplication(all_0_2_2, all_0_2_2) = v0 & addition(v0, v1) = all_127_1_122)
% 222.07/175.28 |
% 222.07/175.28 | Instantiating formula (18) with all_0_2_2, all_0_2_2, all_0_2_2, all_0_2_2, one and discharging atoms multiplication(all_0_2_2, one) = all_0_2_2, addition(all_0_2_2, all_0_2_2) = all_0_2_2, yields:
% 222.07/175.28 | (857) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, all_0_2_2) = 0 & star(one) = v0 & multiplication(all_0_2_2, v0) = v1) | ( ~ (v0 = 0) & leq(all_0_2_2, all_0_2_2) = v0))
% 222.07/175.28 |
% 222.07/175.28 | Instantiating formula (14) with all_0_2_2, all_0_2_2, all_0_2_2, all_20_0_17, all_20_1_18 and discharging atoms addition(all_20_0_17, all_20_1_18) = all_0_2_2, addition(all_0_2_2, all_0_2_2) = all_0_2_2, yields:
% 222.07/175.28 | (858) ? [v0] : (addition(v0, all_20_1_18) = all_0_2_2 & addition(all_0_2_2, all_20_0_17) = v0)
% 222.07/175.28 |
% 222.07/175.28 | Instantiating formula (14) with all_0_2_2, all_0_2_2, all_0_2_2, all_20_0_17, all_205_0_233 and discharging atoms addition(all_20_0_17, all_205_0_233) = all_0_2_2, addition(all_0_2_2, all_0_2_2) = all_0_2_2, yields:
% 222.07/175.28 | (859) ? [v0] : (addition(v0, all_205_0_233) = all_0_2_2 & addition(all_0_2_2, all_20_0_17) = v0)
% 222.07/175.28 |
% 222.07/175.28 | Instantiating formula (16) with all_0_2_2, all_0_2_2 and discharging atoms addition(all_0_2_2, all_0_2_2) = all_0_2_2, yields:
% 222.07/175.28 | (860) leq(all_0_2_2, all_0_2_2) = 0
% 222.07/175.28 |
% 222.07/175.28 | Instantiating formula (23) with all_0_2_2, all_0_2_2, all_0_2_2, zero, one and discharging atoms multiplication(one, all_0_2_2) = all_0_2_2, addition(all_0_2_2, zero) = all_0_2_2, yields:
% 222.07/175.28 | (861) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(one) = v0 & leq(all_0_2_2, v1) = 0 & multiplication(v0, zero) = v1) | ( ~ (v0 = 0) & leq(all_0_2_2, all_0_2_2) = v0))
% 222.07/175.28 |
% 222.07/175.28 | Instantiating formula (40) with all_0_2_2, all_0_2_2, all_0_2_2, zero, one and discharging atoms multiplication(one, all_0_2_2) = all_0_2_2, addition(all_0_2_2, zero) = all_0_2_2, yields:
% 222.07/175.28 | (862) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, all_0_2_2) = 0 & star(one) = v0 & multiplication(v0, zero) = v1) | ( ~ (v0 = 0) & leq(all_0_2_2, all_0_2_2) = v0))
% 222.07/175.28 |
% 222.07/175.28 | Instantiating formula (22) with all_131_1_134, all_0_2_2, all_20_1_18, zero, all_0_2_2 and discharging atoms multiplication(all_0_2_2, all_20_1_18) = all_131_1_134, addition(all_0_2_2, zero) = all_0_2_2, yields:
% 222.07/175.28 | (863) ? [v0] : ? [v1] : (multiplication(all_0_2_2, all_20_1_18) = v0 & multiplication(zero, all_20_1_18) = v1 & addition(v0, v1) = all_131_1_134)
% 222.07/175.28 |
% 222.07/175.28 | Instantiating formula (22) with all_127_1_122, all_0_2_2, all_0_2_2, zero, all_0_2_2 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_127_1_122, addition(all_0_2_2, zero) = all_0_2_2, yields:
% 222.07/175.28 | (864) ? [v0] : ? [v1] : (multiplication(all_0_2_2, all_0_2_2) = v0 & multiplication(zero, all_0_2_2) = v1 & addition(v0, v1) = all_127_1_122)
% 222.07/175.28 |
% 222.07/175.28 | Instantiating formula (12) with all_127_1_122, all_0_2_2, zero, all_0_2_2, all_0_2_2 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_127_1_122, addition(all_0_2_2, zero) = all_0_2_2, yields:
% 222.07/175.28 | (865) ? [v0] : ? [v1] : (multiplication(all_0_2_2, all_0_2_2) = v0 & multiplication(all_0_2_2, zero) = v1 & addition(v0, v1) = all_127_1_122)
% 222.07/175.28 |
% 222.07/175.28 | Instantiating formula (18) with all_0_2_2, all_0_2_2, all_0_2_2, zero, one and discharging atoms multiplication(all_0_2_2, one) = all_0_2_2, addition(all_0_2_2, zero) = all_0_2_2, yields:
% 222.07/175.28 | (866) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, all_0_2_2) = 0 & star(one) = v0 & multiplication(zero, v0) = v1) | ( ~ (v0 = 0) & leq(all_0_2_2, all_0_2_2) = v0))
% 222.07/175.28 |
% 222.07/175.28 | Instantiating formula (22) with all_0_2_2, all_0_2_2, one, zero, all_0_2_2 and discharging atoms multiplication(all_0_2_2, one) = all_0_2_2, addition(all_0_2_2, zero) = all_0_2_2, yields:
% 222.07/175.28 | (867) ? [v0] : ? [v1] : (multiplication(all_0_2_2, one) = v0 & multiplication(zero, one) = v1 & addition(v0, v1) = all_0_2_2)
% 222.07/175.28 |
% 222.07/175.28 | Instantiating formula (9) with all_26_0_19, all_0_2_2, all_0_2_2, zero, all_0_1_1 and discharging atoms addition(all_0_2_2, all_0_1_1) = all_26_0_19, addition(all_0_2_2, zero) = all_0_2_2, yields:
% 222.07/175.28 | (868) ? [v0] : (addition(all_0_2_2, v0) = all_26_0_19 & addition(zero, all_0_1_1) = v0)
% 222.07/175.28 |
% 222.07/175.28 | Instantiating formula (9) with all_0_2_2, all_0_2_2, all_0_2_2, zero, one and discharging atoms addition(all_0_2_2, one) = all_0_2_2, addition(all_0_2_2, zero) = all_0_2_2, yields:
% 222.07/175.28 | (869) ? [v0] : (addition(all_0_2_2, v0) = all_0_2_2 & addition(zero, one) = v0)
% 222.07/175.28 |
% 222.07/175.28 | Instantiating formula (23) with all_26_0_19, one, one, all_26_0_19, one and discharging atoms multiplication(one, one) = one, addition(one, all_26_0_19) = all_26_0_19, yields:
% 222.07/175.28 | (870) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(one) = v0 & leq(one, v1) = 0 & multiplication(v0, all_26_0_19) = v1) | ( ~ (v0 = 0) & leq(one, all_26_0_19) = v0))
% 222.07/175.28 |
% 222.07/175.28 | Instantiating formula (14) with all_26_0_19, all_26_0_19, one, all_44_0_29, all_20_0_17 and discharging atoms addition(all_44_0_29, all_20_0_17) = all_26_0_19, addition(one, all_26_0_19) = all_26_0_19, yields:
% 222.07/175.28 | (871) ? [v0] : (addition(v0, all_20_0_17) = all_26_0_19 & addition(one, all_44_0_29) = v0)
% 222.07/175.28 |
% 222.07/175.28 | Instantiating formula (14) with all_26_0_19, all_26_0_19, one, all_0_1_1, all_0_2_2 and discharging atoms addition(all_0_1_1, all_0_2_2) = all_26_0_19, addition(one, all_26_0_19) = all_26_0_19, yields:
% 222.07/175.28 | (872) ? [v0] : (addition(v0, all_0_2_2) = all_26_0_19 & addition(one, all_0_1_1) = v0)
% 222.07/175.28 |
% 222.07/175.28 | Instantiating formula (14) with all_26_0_19, all_26_0_19, one, all_135_0_141, all_20_0_17 and discharging atoms addition(all_135_0_141, all_20_0_17) = all_26_0_19, addition(one, all_26_0_19) = all_26_0_19, yields:
% 222.07/175.28 | (873) ? [v0] : (addition(v0, all_20_0_17) = all_26_0_19 & addition(one, all_135_0_141) = v0)
% 222.07/175.28 |
% 222.07/175.28 | Instantiating formula (14) with all_26_0_19, all_26_0_19, one, all_44_0_29, all_38_0_20 and discharging atoms addition(all_44_0_29, all_38_0_20) = all_26_0_19, addition(one, all_26_0_19) = all_26_0_19, yields:
% 222.07/175.28 | (874) ? [v0] : (addition(v0, all_38_0_20) = all_26_0_19 & addition(one, all_44_0_29) = v0)
% 222.07/175.28 |
% 222.07/175.28 | Instantiating formula (16) with all_26_0_19, one and discharging atoms addition(one, all_26_0_19) = all_26_0_19, yields:
% 222.07/175.28 | (875) leq(one, all_26_0_19) = 0
% 222.07/175.28 |
% 222.07/175.28 | Instantiating formula (23) with all_38_0_20, one, one, all_20_0_17, one and discharging atoms multiplication(one, one) = one, addition(one, all_20_0_17) = all_38_0_20, yields:
% 222.07/175.28 | (876) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(one) = v0 & leq(one, v1) = 0 & multiplication(v0, all_20_0_17) = v1) | ( ~ (v0 = 0) & leq(one, all_38_0_20) = v0))
% 222.07/175.28 |
% 222.07/175.28 | Instantiating formula (12) with all_129_1_128, all_38_0_20, all_20_0_17, one, all_110_2_102 and discharging atoms multiplication(all_110_2_102, all_38_0_20) = all_129_1_128, addition(one, all_20_0_17) = all_38_0_20, yields:
% 222.07/175.28 | (877) ? [v0] : ? [v1] : (multiplication(all_110_2_102, all_20_0_17) = v1 & multiplication(all_110_2_102, one) = v0 & addition(v0, v1) = all_129_1_128)
% 222.07/175.28 |
% 222.07/175.28 | Instantiating formula (22) with all_178_0_198, all_38_0_20, zero, all_20_0_17, one and discharging atoms multiplication(all_38_0_20, zero) = all_178_0_198, addition(one, all_20_0_17) = all_38_0_20, yields:
% 222.07/175.28 | (878) ? [v0] : ? [v1] : (multiplication(all_20_0_17, zero) = v1 & multiplication(one, zero) = v0 & addition(v0, v1) = all_178_0_198)
% 222.07/175.28 |
% 222.07/175.28 | Instantiating formula (14) with all_38_0_20, all_20_0_17, one, all_49_1_36, all_178_0_198 and discharging atoms addition(all_49_1_36, all_178_0_198) = all_20_0_17, addition(one, all_20_0_17) = all_38_0_20, yields:
% 222.07/175.28 | (879) ? [v0] : (addition(v0, all_178_0_198) = all_38_0_20 & addition(one, all_49_1_36) = v0)
% 222.07/175.28 |
% 222.07/175.28 | Instantiating formula (14) with all_38_0_20, all_20_0_17, one, all_49_1_36, all_20_0_17 and discharging atoms addition(all_49_1_36, all_20_0_17) = all_20_0_17, addition(one, all_20_0_17) = all_38_0_20, yields:
% 222.07/175.28 | (880) ? [v0] : (addition(v0, all_20_0_17) = all_38_0_20 & addition(one, all_49_1_36) = v0)
% 222.07/175.28 |
% 222.07/175.28 | Instantiating formula (14) with all_26_0_19, all_38_0_20, all_44_0_29, one, all_20_0_17 and discharging atoms addition(all_44_0_29, all_38_0_20) = all_26_0_19, addition(one, all_20_0_17) = all_38_0_20, yields:
% 222.07/175.28 | (881) ? [v0] : (addition(v0, all_20_0_17) = all_26_0_19 & addition(all_44_0_29, one) = v0)
% 222.07/175.28 |
% 222.07/175.28 | Instantiating formula (9) with all_152_0_162, all_38_0_20, one, all_20_0_17, all_0_1_1 and discharging atoms addition(all_38_0_20, all_0_1_1) = all_152_0_162, addition(one, all_20_0_17) = all_38_0_20, yields:
% 222.07/175.28 | (882) ? [v0] : (addition(all_20_0_17, all_0_1_1) = v0 & addition(one, v0) = all_152_0_162)
% 222.07/175.28 |
% 222.07/175.28 | Instantiating formula (9) with all_38_0_20, all_38_0_20, one, all_20_0_17, one and discharging atoms addition(all_38_0_20, one) = all_38_0_20, addition(one, all_20_0_17) = all_38_0_20, yields:
% 222.07/175.28 | (883) ? [v0] : (addition(all_20_0_17, one) = v0 & addition(one, v0) = all_38_0_20)
% 222.07/175.28 |
% 222.07/175.28 | Instantiating formula (23) with all_147_0_152, one, one, all_0_1_1, one and discharging atoms multiplication(one, one) = one, addition(one, all_0_1_1) = all_147_0_152, yields:
% 222.07/175.28 | (884) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(one) = v0 & leq(one, v1) = 0 & multiplication(v0, all_0_1_1) = v1) | ( ~ (v0 = 0) & leq(one, all_147_0_152) = v0))
% 222.07/175.28 |
% 222.07/175.28 | Instantiating formula (9) with all_147_0_152, one, one, one, all_0_1_1 and discharging atoms addition(one, all_0_1_1) = all_147_0_152, addition(one, one) = one, yields:
% 222.07/175.28 | (885) ? [v0] : (addition(one, v0) = all_147_0_152 & addition(one, all_0_1_1) = v0)
% 222.07/175.28 |
% 222.07/175.28 | Instantiating formula (21) with all_147_0_152, all_0_1_1, one and discharging atoms addition(one, all_0_1_1) = all_147_0_152, yields:
% 222.07/175.28 | (886) all_147_0_152 = all_0_1_1 | ? [v0] : ( ~ (v0 = 0) & leq(one, all_0_1_1) = v0)
% 222.07/175.28 |
% 222.07/175.28 | Instantiating formula (27) with all_49_1_36, all_49_1_36, zero, zero, all_20_1_18, zero and discharging atoms multiplication(all_20_1_18, zero) = all_49_1_36, multiplication(zero, zero) = zero, addition(zero, all_49_1_36) = all_49_1_36, yields:
% 222.07/175.28 | (887) ? [v0] : (multiplication(v0, zero) = all_49_1_36 & addition(zero, all_20_1_18) = v0)
% 222.07/175.28 |
% 222.07/175.28 | Instantiating formula (18) with all_49_1_36, zero, one, all_49_1_36, zero and discharging atoms multiplication(one, zero) = zero, addition(zero, all_49_1_36) = all_49_1_36, yields:
% 222.07/175.28 | (888) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, one) = 0 & star(zero) = v0 & multiplication(all_49_1_36, v0) = v1) | ( ~ (v0 = 0) & leq(all_49_1_36, one) = v0))
% 222.07/175.28 |
% 222.07/175.28 | Instantiating formula (23) with all_49_1_36, zero, zero, all_49_1_36, one and discharging atoms multiplication(one, zero) = zero, addition(zero, all_49_1_36) = all_49_1_36, yields:
% 222.07/175.28 | (889) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(one) = v0 & leq(zero, v1) = 0 & multiplication(v0, all_49_1_36) = v1) | ( ~ (v0 = 0) & leq(zero, all_49_1_36) = v0))
% 222.07/175.28 |
% 222.07/175.28 | Instantiating formula (40) with all_49_1_36, zero, zero, all_49_1_36, one and discharging atoms multiplication(one, zero) = zero, addition(zero, all_49_1_36) = all_49_1_36, yields:
% 222.07/175.28 | (890) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, zero) = 0 & star(one) = v0 & multiplication(v0, all_49_1_36) = v1) | ( ~ (v0 = 0) & leq(all_49_1_36, zero) = v0))
% 222.07/175.28 |
% 222.07/175.28 | Instantiating formula (22) with all_195_1_228, all_49_1_36, zero, all_49_1_36, zero and discharging atoms multiplication(all_49_1_36, zero) = all_195_1_228, addition(zero, all_49_1_36) = all_49_1_36, yields:
% 222.07/175.28 | (891) ? [v0] : ? [v1] : (multiplication(all_49_1_36, zero) = v1 & multiplication(zero, zero) = v0 & addition(v0, v1) = all_195_1_228)
% 222.07/175.28 |
% 222.07/175.28 | Instantiating formula (18) with all_49_1_36, zero, zero, all_49_1_36, zero and discharging atoms multiplication(zero, zero) = zero, addition(zero, all_49_1_36) = all_49_1_36, yields:
% 222.07/175.28 | (892) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, zero) = 0 & star(zero) = v0 & multiplication(all_49_1_36, v0) = v1) | ( ~ (v0 = 0) & leq(all_49_1_36, zero) = v0))
% 222.07/175.28 |
% 222.07/175.28 | Instantiating formula (23) with all_49_1_36, zero, zero, all_49_1_36, zero and discharging atoms multiplication(zero, zero) = zero, addition(zero, all_49_1_36) = all_49_1_36, yields:
% 222.07/175.28 | (893) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(zero) = v0 & leq(zero, v1) = 0 & multiplication(v0, all_49_1_36) = v1) | ( ~ (v0 = 0) & leq(zero, all_49_1_36) = v0))
% 222.07/175.28 |
% 222.07/175.28 | Instantiating formula (40) with all_49_1_36, zero, zero, all_49_1_36, zero and discharging atoms multiplication(zero, zero) = zero, addition(zero, all_49_1_36) = all_49_1_36, yields:
% 222.07/175.28 | (894) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, zero) = 0 & star(zero) = v0 & multiplication(v0, all_49_1_36) = v1) | ( ~ (v0 = 0) & leq(all_49_1_36, zero) = v0))
% 222.07/175.28 |
% 222.07/175.28 | Instantiating formula (16) with all_49_1_36, zero and discharging atoms addition(zero, all_49_1_36) = all_49_1_36, yields:
% 222.07/175.28 | (895) leq(zero, all_49_1_36) = 0
% 222.07/175.28 |
% 222.07/175.28 | Instantiating formula (23) with all_20_0_17, zero, zero, all_20_0_17, one and discharging atoms multiplication(one, zero) = zero, addition(zero, all_20_0_17) = all_20_0_17, yields:
% 222.07/175.28 | (896) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(one) = v0 & leq(zero, v1) = 0 & multiplication(v0, all_20_0_17) = v1) | ( ~ (v0 = 0) & leq(zero, all_20_0_17) = v0))
% 222.07/175.28 |
% 222.07/175.28 | Instantiating formula (12) with all_110_1_101, all_20_0_17, all_20_0_17, zero, all_110_2_102 and discharging atoms multiplication(all_110_2_102, all_20_0_17) = all_110_1_101, addition(zero, all_20_0_17) = all_20_0_17, yields:
% 222.07/175.28 | (897) ? [v0] : ? [v1] : (multiplication(all_110_2_102, all_20_0_17) = v1 & multiplication(all_110_2_102, zero) = v0 & addition(v0, v1) = all_110_1_101)
% 222.07/175.28 |
% 222.07/175.28 | Instantiating formula (22) with all_20_0_17, all_20_0_17, one, all_20_0_17, zero and discharging atoms multiplication(all_20_0_17, one) = all_20_0_17, addition(zero, all_20_0_17) = all_20_0_17, yields:
% 222.07/175.28 | (898) ? [v0] : ? [v1] : (multiplication(all_20_0_17, one) = v1 & multiplication(zero, one) = v0 & addition(v0, v1) = all_20_0_17)
% 222.07/175.28 |
% 222.07/175.28 | Instantiating formula (23) with all_20_0_17, zero, zero, all_20_0_17, zero and discharging atoms multiplication(zero, zero) = zero, addition(zero, all_20_0_17) = all_20_0_17, yields:
% 222.07/175.28 | (899) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(zero) = v0 & leq(zero, v1) = 0 & multiplication(v0, all_20_0_17) = v1) | ( ~ (v0 = 0) & leq(zero, all_20_0_17) = v0))
% 222.07/175.28 |
% 222.07/175.28 | Instantiating formula (9) with all_0_2_2, all_20_0_17, zero, all_20_0_17, all_20_1_18 and discharging atoms addition(all_20_0_17, all_20_1_18) = all_0_2_2, addition(zero, all_20_0_17) = all_20_0_17, yields:
% 222.07/175.28 | (900) ? [v0] : (addition(all_20_0_17, all_20_1_18) = v0 & addition(zero, v0) = all_0_2_2)
% 222.07/175.28 |
% 222.07/175.28 | Instantiating formula (9) with all_38_0_20, all_20_0_17, zero, all_20_0_17, one and discharging atoms addition(all_20_0_17, one) = all_38_0_20, addition(zero, all_20_0_17) = all_20_0_17, yields:
% 222.07/175.28 | (901) ? [v0] : (addition(all_20_0_17, one) = v0 & addition(zero, v0) = all_38_0_20)
% 222.07/175.28 |
% 222.07/175.28 | Instantiating formula (14) with all_20_0_17, all_20_0_17, zero, all_195_1_228, all_20_0_17 and discharging atoms addition(all_195_1_228, all_20_0_17) = all_20_0_17, addition(zero, all_20_0_17) = all_20_0_17, yields:
% 222.07/175.28 | (902) ? [v0] : (addition(v0, all_20_0_17) = all_20_0_17 & addition(zero, all_195_1_228) = v0)
% 222.07/175.28 |
% 222.07/175.28 | Instantiating formula (9) with all_26_0_19, all_20_0_17, zero, all_20_0_17, all_44_0_29 and discharging atoms addition(all_20_0_17, all_44_0_29) = all_26_0_19, addition(zero, all_20_0_17) = all_20_0_17, yields:
% 222.07/175.28 | (903) ? [v0] : (addition(all_20_0_17, all_44_0_29) = v0 & addition(zero, v0) = all_26_0_19)
% 222.07/175.28 |
% 222.07/175.28 | Instantiating formula (9) with all_155_0_166, all_20_0_17, zero, all_20_0_17, all_0_1_1 and discharging atoms addition(all_20_0_17, all_0_1_1) = all_155_0_166, addition(zero, all_20_0_17) = all_20_0_17, yields:
% 222.07/175.28 | (904) ? [v0] : (addition(all_20_0_17, all_0_1_1) = v0 & addition(zero, v0) = all_155_0_166)
% 222.07/175.28 |
% 222.07/175.28 | Instantiating formula (14) with all_120_0_110, all_20_0_17, all_0_1_1, zero, all_20_0_17 and discharging atoms addition(all_0_1_1, all_20_0_17) = all_120_0_110, addition(zero, all_20_0_17) = all_20_0_17, yields:
% 222.07/175.28 | (905) ? [v0] : (addition(v0, all_20_0_17) = all_120_0_110 & addition(all_0_1_1, zero) = v0)
% 222.07/175.28 |
% 222.07/175.28 | Instantiating formula (16) with all_20_0_17, zero and discharging atoms addition(zero, all_20_0_17) = all_20_0_17, yields:
% 222.07/175.28 | (906) leq(zero, all_20_0_17) = 0
% 222.07/175.28 |
% 222.07/175.28 | Instantiating formula (33) with all_205_0_233, all_20_1_18, zero, all_20_1_18, zero, one and discharging atoms multiplication(one, all_20_1_18) = all_20_1_18, multiplication(one, zero) = zero, addition(zero, all_20_1_18) = all_205_0_233, yields:
% 222.07/175.28 | (907) ? [v0] : (multiplication(one, v0) = all_205_0_233 & addition(zero, all_20_1_18) = v0)
% 222.07/175.28 |
% 222.07/175.28 | Instantiating formula (18) with all_205_0_233, zero, one, all_20_1_18, zero and discharging atoms multiplication(one, zero) = zero, addition(zero, all_20_1_18) = all_205_0_233, yields:
% 222.07/175.28 | (908) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, one) = 0 & star(zero) = v0 & multiplication(all_20_1_18, v0) = v1) | ( ~ (v0 = 0) & leq(all_205_0_233, one) = v0))
% 222.07/175.28 |
% 222.07/175.28 | Instantiating formula (23) with all_205_0_233, zero, zero, all_20_1_18, one and discharging atoms multiplication(one, zero) = zero, addition(zero, all_20_1_18) = all_205_0_233, yields:
% 222.07/175.29 | (909) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(one) = v0 & leq(zero, v1) = 0 & multiplication(v0, all_20_1_18) = v1) | ( ~ (v0 = 0) & leq(zero, all_205_0_233) = v0))
% 222.07/175.29 |
% 222.07/175.29 | Instantiating formula (23) with all_205_0_233, zero, zero, all_20_1_18, zero and discharging atoms multiplication(zero, zero) = zero, addition(zero, all_20_1_18) = all_205_0_233, yields:
% 222.07/175.29 | (910) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(zero) = v0 & leq(zero, v1) = 0 & multiplication(v0, all_20_1_18) = v1) | ( ~ (v0 = 0) & leq(zero, all_205_0_233) = v0))
% 222.07/175.29 |
% 222.07/175.29 | Instantiating formula (14) with all_205_0_233, all_20_1_18, zero, one, all_20_1_18 and discharging atoms addition(one, all_20_1_18) = all_20_1_18, addition(zero, all_20_1_18) = all_205_0_233, yields:
% 222.07/175.29 | (911) ? [v0] : (addition(v0, all_20_1_18) = all_205_0_233 & addition(zero, one) = v0)
% 222.07/175.29 |
% 222.07/175.29 | Instantiating formula (14) with all_205_0_233, all_20_1_18, zero, all_20_1_18, all_20_1_18 and discharging atoms addition(all_20_1_18, all_20_1_18) = all_20_1_18, addition(zero, all_20_1_18) = all_205_0_233, yields:
% 222.07/175.29 | (912) ? [v0] : (addition(v0, all_20_1_18) = all_205_0_233 & addition(zero, all_20_1_18) = v0)
% 222.07/175.29 |
% 222.07/175.29 | Instantiating formula (14) with all_205_0_233, all_20_1_18, zero, all_20_1_18, one and discharging atoms addition(all_20_1_18, one) = all_20_1_18, addition(zero, all_20_1_18) = all_205_0_233, yields:
% 222.07/175.29 | (913) ? [v0] : (addition(v0, one) = all_205_0_233 & addition(zero, all_20_1_18) = v0)
% 222.07/175.29 |
% 222.07/175.29 | Instantiating formula (38) with all_205_0_233, zero, all_20_1_18 and discharging atoms addition(zero, all_20_1_18) = all_205_0_233, yields:
% 222.07/175.29 | (914) addition(all_20_1_18, zero) = all_205_0_233
% 222.07/175.29 |
% 222.07/175.29 | Instantiating formula (33) with all_203_0_232, one, zero, one, zero, one and discharging atoms multiplication(one, one) = one, multiplication(one, zero) = zero, addition(zero, one) = all_203_0_232, yields:
% 222.07/175.29 | (915) ? [v0] : (multiplication(one, v0) = all_203_0_232 & addition(zero, one) = v0)
% 222.07/175.29 |
% 222.07/175.29 | Instantiating formula (18) with all_203_0_232, zero, one, one, zero and discharging atoms multiplication(one, zero) = zero, addition(zero, one) = all_203_0_232, yields:
% 222.07/175.29 | (916) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, one) = 0 & star(zero) = v0 & multiplication(one, v0) = v1) | ( ~ (v0 = 0) & leq(all_203_0_232, one) = v0))
% 222.07/175.29 |
% 222.07/175.29 | Instantiating formula (23) with all_203_0_232, zero, zero, one, one and discharging atoms multiplication(one, zero) = zero, addition(zero, one) = all_203_0_232, yields:
% 222.07/175.29 | (917) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(one) = v0 & leq(zero, v1) = 0 & multiplication(v0, one) = v1) | ( ~ (v0 = 0) & leq(zero, all_203_0_232) = v0))
% 222.07/175.29 |
% 222.07/175.29 | Instantiating formula (23) with all_203_0_232, zero, zero, one, zero and discharging atoms multiplication(zero, zero) = zero, addition(zero, one) = all_203_0_232, yields:
% 222.07/175.29 | (918) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(zero) = v0 & leq(zero, v1) = 0 & multiplication(v0, one) = v1) | ( ~ (v0 = 0) & leq(zero, all_203_0_232) = v0))
% 222.07/175.29 |
% 222.07/175.29 | Instantiating formula (14) with all_203_0_232, one, zero, one, one and discharging atoms addition(one, one) = one, addition(zero, one) = all_203_0_232, yields:
% 222.07/175.29 | (919) ? [v0] : (addition(v0, one) = all_203_0_232 & addition(zero, one) = v0)
% 222.07/175.29 |
% 222.07/175.29 | Instantiating formula (38) with all_203_0_232, zero, one and discharging atoms addition(zero, one) = all_203_0_232, yields:
% 222.07/175.29 | (920) addition(one, zero) = all_203_0_232
% 222.07/175.29 |
% 222.07/175.29 | Instantiating formula (12) with all_49_1_36, zero, zero, zero, all_20_1_18 and discharging atoms multiplication(all_20_1_18, zero) = all_49_1_36, addition(zero, zero) = zero, yields:
% 222.07/175.29 | (921) ? [v0] : ? [v1] : (multiplication(all_20_1_18, zero) = v1 & multiplication(all_20_1_18, zero) = v0 & addition(v0, v1) = all_49_1_36)
% 222.07/175.29 |
% 222.07/175.29 | Instantiating formula (18) with zero, zero, one, zero, zero and discharging atoms multiplication(one, zero) = zero, addition(zero, zero) = zero, yields:
% 222.07/175.29 | (922) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, one) = 0 & star(zero) = v0 & multiplication(zero, v0) = v1) | ( ~ (v0 = 0) & leq(zero, one) = v0))
% 222.07/175.29 |
% 222.07/175.29 | Instantiating formula (23) with zero, zero, zero, zero, one and discharging atoms multiplication(one, zero) = zero, addition(zero, zero) = zero, yields:
% 222.07/175.29 | (923) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(one) = v0 & leq(zero, v1) = 0 & multiplication(v0, zero) = v1) | ( ~ (v0 = 0) & leq(zero, zero) = v0))
% 222.07/175.29 |
% 222.07/175.29 | Instantiating formula (40) with zero, zero, zero, zero, one and discharging atoms multiplication(one, zero) = zero, addition(zero, zero) = zero, yields:
% 222.07/175.29 | (924) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, zero) = 0 & star(one) = v0 & multiplication(v0, zero) = v1) | ( ~ (v0 = 0) & leq(zero, zero) = v0))
% 222.07/175.29 |
% 222.07/175.29 | Instantiating formula (27) with zero, zero, zero, zero, one, zero and discharging atoms multiplication(one, zero) = zero, multiplication(zero, zero) = zero, addition(zero, zero) = zero, yields:
% 222.07/175.29 | (925) ? [v0] : (multiplication(v0, zero) = zero & addition(zero, one) = v0)
% 222.07/175.29 |
% 222.07/175.29 | Instantiating formula (18) with zero, zero, zero, zero, zero and discharging atoms multiplication(zero, zero) = zero, addition(zero, zero) = zero, yields:
% 222.07/175.29 | (926) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, zero) = 0 & star(zero) = v0 & multiplication(zero, v0) = v1) | ( ~ (v0 = 0) & leq(zero, zero) = v0))
% 222.07/175.29 |
% 222.07/175.29 | Instantiating formula (23) with zero, zero, zero, zero, zero and discharging atoms multiplication(zero, zero) = zero, addition(zero, zero) = zero, yields:
% 222.07/175.29 | (927) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(zero) = v0 & leq(zero, v1) = 0 & multiplication(v0, zero) = v1) | ( ~ (v0 = 0) & leq(zero, zero) = v0))
% 222.07/175.29 |
% 222.07/175.29 | Instantiating formula (40) with zero, zero, zero, zero, zero and discharging atoms multiplication(zero, zero) = zero, addition(zero, zero) = zero, yields:
% 222.07/175.29 | (928) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, zero) = 0 & star(zero) = v0 & multiplication(v0, zero) = v1) | ( ~ (v0 = 0) & leq(zero, zero) = v0))
% 222.07/175.29 |
% 222.07/175.29 | Instantiating formula (9) with all_205_0_233, zero, zero, zero, all_20_1_18 and discharging atoms addition(zero, all_20_1_18) = all_205_0_233, addition(zero, zero) = zero, yields:
% 222.07/175.29 | (929) ? [v0] : (addition(zero, v0) = all_205_0_233 & addition(zero, all_20_1_18) = v0)
% 222.07/175.29 |
% 222.07/175.29 | Instantiating formula (9) with all_203_0_232, zero, zero, zero, one and discharging atoms addition(zero, one) = all_203_0_232, addition(zero, zero) = zero, yields:
% 222.07/175.29 | (930) ? [v0] : (addition(zero, v0) = all_203_0_232 & addition(zero, one) = v0)
% 222.07/175.29 |
% 222.07/175.29 | Instantiating formula (16) with zero, zero and discharging atoms addition(zero, zero) = zero, yields:
% 222.07/175.29 | (931) leq(zero, zero) = 0
% 222.07/175.29 |
% 222.07/175.29 | Instantiating (694) with all_264_0_238 yields:
% 222.07/175.29 | (932) addition(all_264_0_238, all_20_0_17) = all_26_0_19 & addition(all_162_0_173, all_85_0_61) = all_264_0_238
% 222.07/175.29 |
% 222.07/175.29 | Applying alpha-rule on (932) yields:
% 222.07/175.29 | (933) addition(all_264_0_238, all_20_0_17) = all_26_0_19
% 222.07/175.29 | (934) addition(all_162_0_173, all_85_0_61) = all_264_0_238
% 222.07/175.29 |
% 222.07/175.29 | Instantiating (693) with all_271_0_245 yields:
% 222.07/175.29 | (935) addition(all_271_0_245, all_20_0_17) = all_0_2_2 & addition(all_85_0_61, all_195_1_228) = all_271_0_245
% 222.07/175.29 |
% 222.07/175.29 | Applying alpha-rule on (935) yields:
% 222.07/175.29 | (936) addition(all_271_0_245, all_20_0_17) = all_0_2_2
% 222.07/175.29 | (937) addition(all_85_0_61, all_195_1_228) = all_271_0_245
% 222.07/175.29 |
% 222.07/175.29 | Instantiating (692) with all_273_0_246 yields:
% 222.07/175.29 | (938) addition(all_273_0_246, all_20_0_17) = all_0_2_2 & addition(one, all_85_0_61) = all_273_0_246
% 222.07/175.29 |
% 222.07/175.29 | Applying alpha-rule on (938) yields:
% 222.07/175.29 | (939) addition(all_273_0_246, all_20_0_17) = all_0_2_2
% 222.07/175.29 | (940) addition(one, all_85_0_61) = all_273_0_246
% 222.07/175.29 |
% 222.07/175.29 | Instantiating (682) with all_275_0_247 yields:
% 222.07/175.29 | (941) addition(all_195_1_228, all_275_0_247) = all_38_0_20 & addition(all_20_0_17, one) = all_275_0_247
% 222.07/175.29 |
% 222.07/175.29 | Applying alpha-rule on (941) yields:
% 222.07/175.29 | (942) addition(all_195_1_228, all_275_0_247) = all_38_0_20
% 222.07/175.29 | (943) addition(all_20_0_17, one) = all_275_0_247
% 222.07/175.29 |
% 222.07/175.29 | Instantiating (681) with all_277_0_248 yields:
% 222.07/175.29 | (944) addition(all_195_1_228, all_277_0_248) = all_0_2_2 & addition(all_20_0_17, all_20_1_18) = all_277_0_248
% 222.07/175.29 |
% 222.07/175.29 | Applying alpha-rule on (944) yields:
% 222.07/175.29 | (945) addition(all_195_1_228, all_277_0_248) = all_0_2_2
% 222.07/175.29 | (946) addition(all_20_0_17, all_20_1_18) = all_277_0_248
% 222.07/175.29 |
% 222.07/175.29 | Instantiating (645) with all_279_0_249 yields:
% 222.07/175.29 | (947) multiplication(all_20_0_17, all_279_0_249) = all_20_0_17 & multiplication(zero, one) = all_279_0_249
% 222.07/175.29 |
% 222.07/175.29 | Applying alpha-rule on (947) yields:
% 222.07/175.29 | (948) multiplication(all_20_0_17, all_279_0_249) = all_20_0_17
% 222.07/175.29 | (949) multiplication(zero, one) = all_279_0_249
% 222.07/175.29 |
% 222.07/175.29 | Instantiating (643) with all_281_0_250 yields:
% 222.07/175.29 | (950) multiplication(all_281_0_250, zero) = all_20_0_17 & addition(all_20_0_17, one) = all_281_0_250
% 222.07/175.29 |
% 222.07/175.29 | Applying alpha-rule on (950) yields:
% 222.07/175.29 | (951) multiplication(all_281_0_250, zero) = all_20_0_17
% 222.07/175.29 | (952) addition(all_20_0_17, one) = all_281_0_250
% 222.07/175.29 |
% 222.07/175.29 | Instantiating (642) with all_283_0_251, all_283_1_252 yields:
% 222.07/175.29 | (953) multiplication(all_20_0_17, one) = all_283_1_252 & multiplication(zero, one) = all_283_0_251 & addition(all_283_1_252, all_283_0_251) = all_20_0_17
% 222.07/175.29 |
% 222.07/175.29 | Applying alpha-rule on (953) yields:
% 222.07/175.29 | (954) multiplication(all_20_0_17, one) = all_283_1_252
% 222.07/175.29 | (955) multiplication(zero, one) = all_283_0_251
% 222.07/175.29 | (956) addition(all_283_1_252, all_283_0_251) = all_20_0_17
% 222.07/175.29 |
% 222.07/175.29 | Instantiating (680) with all_287_0_254, all_287_1_255 yields:
% 222.07/175.29 | (957) multiplication(all_195_1_228, zero) = all_287_1_255 & multiplication(all_20_0_17, zero) = all_287_0_254 & addition(all_287_1_255, all_287_0_254) = all_20_0_17
% 222.07/175.29 |
% 222.07/175.29 | Applying alpha-rule on (957) yields:
% 222.07/175.29 | (958) multiplication(all_195_1_228, zero) = all_287_1_255
% 222.07/175.29 | (959) multiplication(all_20_0_17, zero) = all_287_0_254
% 222.07/175.29 | (960) addition(all_287_1_255, all_287_0_254) = all_20_0_17
% 222.07/175.29 |
% 222.07/175.29 | Instantiating (689) with all_291_0_257, all_291_1_258 yields:
% 222.07/175.29 | (961) multiplication(all_0_2_2, all_85_0_61) = all_291_1_258 & multiplication(all_0_2_2, all_20_0_17) = all_291_0_257 & addition(all_291_1_258, all_291_0_257) = all_127_1_122
% 222.07/175.29 |
% 222.07/175.29 | Applying alpha-rule on (961) yields:
% 222.07/175.29 | (962) multiplication(all_0_2_2, all_85_0_61) = all_291_1_258
% 222.07/175.29 | (963) multiplication(all_0_2_2, all_20_0_17) = all_291_0_257
% 222.07/175.29 | (964) addition(all_291_1_258, all_291_0_257) = all_127_1_122
% 222.07/175.29 |
% 222.07/175.29 | Instantiating (688) with all_293_0_259, all_293_1_260 yields:
% 222.07/175.29 | (965) multiplication(all_85_0_61, all_0_2_2) = all_293_1_260 & multiplication(all_20_0_17, all_0_2_2) = all_293_0_259 & addition(all_293_1_260, all_293_0_259) = all_127_1_122
% 222.07/175.29 |
% 222.07/175.29 | Applying alpha-rule on (965) yields:
% 222.07/175.29 | (966) multiplication(all_85_0_61, all_0_2_2) = all_293_1_260
% 222.07/175.29 | (967) multiplication(all_20_0_17, all_0_2_2) = all_293_0_259
% 222.07/175.29 | (968) addition(all_293_1_260, all_293_0_259) = all_127_1_122
% 222.07/175.29 |
% 222.07/175.29 | Instantiating (640) with all_296_0_264, all_296_1_265, all_296_2_266 yields:
% 222.07/175.29 | (969) (all_296_0_264 = 0 & leq(all_296_1_265, all_20_0_17) = 0 & star(one) = all_296_2_266 & multiplication(one, all_296_2_266) = all_296_1_265) | ( ~ (all_296_2_266 = 0) & leq(all_38_0_20, all_20_0_17) = all_296_2_266)
% 222.07/175.29 |
% 222.07/175.29 | Instantiating (691) with all_297_0_267 yields:
% 222.07/175.29 | (970) addition(all_85_0_61, all_297_0_267) = all_0_2_2 & addition(all_20_0_17, one) = all_297_0_267
% 222.07/175.29 |
% 222.07/175.29 | Applying alpha-rule on (970) yields:
% 222.07/175.29 | (971) addition(all_85_0_61, all_297_0_267) = all_0_2_2
% 222.07/175.29 | (972) addition(all_20_0_17, one) = all_297_0_267
% 222.07/175.29 |
% 222.07/175.29 | Instantiating (639) with all_303_0_270, all_303_1_271, all_303_2_272 yields:
% 222.07/175.29 | (973) (all_303_0_270 = 0 & leq(all_303_1_271, all_20_0_17) = 0 & star(one) = all_303_2_272 & multiplication(all_20_1_18, all_303_2_272) = all_303_1_271) | ( ~ (all_303_2_272 = 0) & leq(all_0_2_2, all_20_0_17) = all_303_2_272)
% 222.07/175.29 |
% 222.07/175.29 | Instantiating (638) with all_304_0_273 yields:
% 222.07/175.29 | (974) multiplication(all_304_0_273, one) = all_110_1_101 & multiplication(all_110_2_102, all_20_0_17) = all_304_0_273
% 222.07/175.29 |
% 222.07/175.29 | Applying alpha-rule on (974) yields:
% 222.07/175.29 | (975) multiplication(all_304_0_273, one) = all_110_1_101
% 222.07/175.29 | (976) multiplication(all_110_2_102, all_20_0_17) = all_304_0_273
% 222.07/175.29 |
% 222.07/175.29 | Instantiating (644) with all_307_0_277 yields:
% 222.07/175.29 | (977) multiplication(all_307_0_277, zero) = all_110_1_101 & multiplication(all_110_2_102, all_20_0_17) = all_307_0_277
% 222.07/175.29 |
% 222.07/175.29 | Applying alpha-rule on (977) yields:
% 222.07/175.29 | (978) multiplication(all_307_0_277, zero) = all_110_1_101
% 222.07/175.29 | (979) multiplication(all_110_2_102, all_20_0_17) = all_307_0_277
% 222.07/175.29 |
% 222.07/175.29 | Instantiating (713) with all_314_0_283, all_314_1_284 yields:
% 222.07/175.29 | (980) multiplication(all_49_1_36, one) = all_314_1_284 & multiplication(all_0_2_2, one) = all_314_0_283 & addition(all_314_1_284, all_314_0_283) = all_0_2_2
% 222.07/175.29 |
% 222.07/175.29 | Applying alpha-rule on (980) yields:
% 222.07/175.29 | (981) multiplication(all_49_1_36, one) = all_314_1_284
% 222.07/175.29 | (982) multiplication(all_0_2_2, one) = all_314_0_283
% 222.07/175.29 | (983) addition(all_314_1_284, all_314_0_283) = all_0_2_2
% 222.07/175.29 |
% 222.07/175.29 | Instantiating (787) with all_318_0_286 yields:
% 222.07/175.29 | (984) addition(all_318_0_286, all_20_0_17) = all_0_2_2 & addition(all_85_0_61, all_20_0_17) = all_318_0_286
% 222.07/175.29 |
% 222.07/175.29 | Applying alpha-rule on (984) yields:
% 222.07/175.29 | (985) addition(all_318_0_286, all_20_0_17) = all_0_2_2
% 222.07/175.29 | (986) addition(all_85_0_61, all_20_0_17) = all_318_0_286
% 222.07/175.29 |
% 222.07/175.30 | Instantiating (710) with all_322_0_288, all_322_1_289 yields:
% 222.07/175.30 | (987) multiplication(all_49_1_36, all_20_1_18) = all_322_1_289 & multiplication(all_0_2_2, all_20_1_18) = all_322_0_288 & addition(all_322_1_289, all_322_0_288) = all_131_1_134
% 222.07/175.30 |
% 222.07/175.30 | Applying alpha-rule on (987) yields:
% 222.07/175.30 | (988) multiplication(all_49_1_36, all_20_1_18) = all_322_1_289
% 222.07/175.30 | (989) multiplication(all_0_2_2, all_20_1_18) = all_322_0_288
% 222.07/175.30 | (990) addition(all_322_1_289, all_322_0_288) = all_131_1_134
% 222.07/175.30 |
% 222.07/175.30 | Instantiating (712) with all_325_0_293, all_325_1_294 yields:
% 222.07/175.30 | (991) multiplication(all_0_2_2, all_49_1_36) = all_325_1_294 & multiplication(all_0_2_2, all_0_2_2) = all_325_0_293 & addition(all_325_1_294, all_325_0_293) = all_127_1_122
% 222.07/175.30 |
% 222.07/175.30 | Applying alpha-rule on (991) yields:
% 222.07/175.30 | (992) multiplication(all_0_2_2, all_49_1_36) = all_325_1_294
% 222.07/175.30 | (993) multiplication(all_0_2_2, all_0_2_2) = all_325_0_293
% 222.07/175.30 | (994) addition(all_325_1_294, all_325_0_293) = all_127_1_122
% 222.07/175.30 |
% 222.07/175.30 | Instantiating (711) with all_327_0_295, all_327_1_296 yields:
% 222.07/175.30 | (995) multiplication(all_49_1_36, all_0_2_2) = all_327_1_296 & multiplication(all_0_2_2, all_0_2_2) = all_327_0_295 & addition(all_327_1_296, all_327_0_295) = all_127_1_122
% 222.07/175.30 |
% 222.07/175.30 | Applying alpha-rule on (995) yields:
% 222.07/175.30 | (996) multiplication(all_49_1_36, all_0_2_2) = all_327_1_296
% 222.07/175.30 | (997) multiplication(all_0_2_2, all_0_2_2) = all_327_0_295
% 222.07/175.30 | (998) addition(all_327_1_296, all_327_0_295) = all_127_1_122
% 222.07/175.30 |
% 222.07/175.30 | Instantiating (788) with all_329_0_297 yields:
% 222.07/175.30 | (999) addition(all_178_0_198, all_20_0_17) = all_329_0_297 & addition(all_49_1_36, all_329_0_297) = all_20_0_17
% 222.07/175.30 |
% 222.07/175.30 | Applying alpha-rule on (999) yields:
% 222.07/175.30 | (1000) addition(all_178_0_198, all_20_0_17) = all_329_0_297
% 222.07/175.30 | (1001) addition(all_49_1_36, all_329_0_297) = all_20_0_17
% 222.07/175.30 |
% 222.07/175.30 | Instantiating (709) with all_333_0_299, all_333_1_300, all_333_2_301 yields:
% 222.07/175.30 | (1002) (all_333_0_299 = 0 & strong_iteration(all_20_1_18) = all_333_2_301 & leq(zero, all_333_1_300) = 0 & multiplication(all_333_2_301, all_0_2_2) = all_333_1_300) | ( ~ (all_333_2_301 = 0) & leq(zero, all_0_2_2) = all_333_2_301)
% 222.07/175.30 |
% 222.07/175.30 | Instantiating (707) with all_335_0_305 yields:
% 222.07/175.30 | (1003) addition(all_335_0_305, all_20_0_17) = all_0_2_2 & addition(all_85_0_61, all_49_1_36) = all_335_0_305
% 222.07/175.30 |
% 222.07/175.30 | Applying alpha-rule on (1003) yields:
% 222.07/175.30 | (1004) addition(all_335_0_305, all_20_0_17) = all_0_2_2
% 222.07/175.30 | (1005) addition(all_85_0_61, all_49_1_36) = all_335_0_305
% 222.07/175.30 |
% 222.07/175.30 | Instantiating (786) with all_339_0_307 yields:
% 222.07/175.30 | (1006) addition(all_20_0_17, all_339_0_307) = all_38_0_20 & addition(all_20_0_17, one) = all_339_0_307
% 222.07/175.30 |
% 222.07/175.30 | Applying alpha-rule on (1006) yields:
% 222.07/175.30 | (1007) addition(all_20_0_17, all_339_0_307) = all_38_0_20
% 222.07/175.30 | (1008) addition(all_20_0_17, one) = all_339_0_307
% 222.07/175.30 |
% 222.07/175.30 | Instantiating (785) with all_341_0_308 yields:
% 222.07/175.30 | (1009) addition(all_20_0_17, all_341_0_308) = all_0_2_2 & addition(all_20_0_17, all_20_1_18) = all_341_0_308
% 222.07/175.30 |
% 222.07/175.30 | Applying alpha-rule on (1009) yields:
% 222.07/175.30 | (1010) addition(all_20_0_17, all_341_0_308) = all_0_2_2
% 222.07/175.30 | (1011) addition(all_20_0_17, all_20_1_18) = all_341_0_308
% 222.07/175.30 |
% 222.07/175.30 | Instantiating (686) with all_345_0_315 yields:
% 222.07/175.30 | (1012) addition(all_135_0_141, all_345_0_315) = all_26_0_19 & addition(all_20_0_17, one) = all_345_0_315
% 222.07/175.30 |
% 222.07/175.30 | Applying alpha-rule on (1012) yields:
% 222.07/175.30 | (1013) addition(all_135_0_141, all_345_0_315) = all_26_0_19
% 222.07/175.30 | (1014) addition(all_20_0_17, one) = all_345_0_315
% 222.07/175.30 |
% 222.07/175.30 | Instantiating (641) with all_347_0_316, all_347_1_317, all_347_2_318 yields:
% 222.07/175.30 | (1015) (all_347_0_316 = 0 & leq(all_347_1_317, all_20_0_17) = 0 & star(one) = all_347_2_318 & multiplication(zero, all_347_2_318) = all_347_1_317) | ( ~ (all_347_2_318 = 0) & leq(all_20_0_17, all_20_0_17) = all_347_2_318)
% 222.07/175.30 |
% 222.07/175.30 | Instantiating (719) with all_356_0_329 yields:
% 222.07/175.30 | (1016) addition(all_20_1_18, all_49_1_36) = all_356_0_329 & addition(all_0_1_1, all_356_0_329) = all_135_0_141
% 222.07/175.30 |
% 222.07/175.30 | Applying alpha-rule on (1016) yields:
% 222.07/175.30 | (1017) addition(all_20_1_18, all_49_1_36) = all_356_0_329
% 222.07/175.30 | (1018) addition(all_0_1_1, all_356_0_329) = all_135_0_141
% 222.07/175.30 |
% 222.07/175.30 | Instantiating (687) with all_358_0_330, all_358_1_331 yields:
% 222.07/175.30 | (1019) multiplication(all_85_0_61, zero) = all_358_1_331 & multiplication(all_20_0_17, zero) = all_358_0_330 & addition(all_358_1_331, all_358_0_330) = all_20_0_17
% 222.07/175.30 |
% 222.07/175.30 | Applying alpha-rule on (1019) yields:
% 222.07/175.30 | (1020) multiplication(all_85_0_61, zero) = all_358_1_331
% 222.07/175.30 | (1021) multiplication(all_20_0_17, zero) = all_358_0_330
% 222.07/175.30 | (1022) addition(all_358_1_331, all_358_0_330) = all_20_0_17
% 222.07/175.30 |
% 222.07/175.30 | Instantiating (696) with all_360_0_332, all_360_1_333 yields:
% 222.07/175.30 | (1023) multiplication(all_110_2_102, all_178_0_198) = all_360_0_332 & multiplication(all_110_2_102, all_49_1_36) = all_360_1_333 & addition(all_360_1_333, all_360_0_332) = all_110_1_101
% 222.07/175.30 |
% 222.07/175.30 | Applying alpha-rule on (1023) yields:
% 222.07/175.30 | (1024) multiplication(all_110_2_102, all_178_0_198) = all_360_0_332
% 222.07/175.30 | (1025) multiplication(all_110_2_102, all_49_1_36) = all_360_1_333
% 222.07/175.30 | (1026) addition(all_360_1_333, all_360_0_332) = all_110_1_101
% 222.07/175.30 |
% 222.07/175.30 | Instantiating (637) with all_365_0_339 yields:
% 222.07/175.30 | (1027) multiplication(all_365_0_339, one) = all_38_0_20 & addition(all_20_0_17, one) = all_365_0_339
% 222.07/175.30 |
% 222.07/175.30 | Applying alpha-rule on (1027) yields:
% 222.07/175.30 | (1028) multiplication(all_365_0_339, one) = all_38_0_20
% 222.07/175.30 | (1029) addition(all_20_0_17, one) = all_365_0_339
% 222.07/175.30 |
% 222.07/175.30 | Instantiating (636) with all_370_0_344 yields:
% 222.07/175.30 | (1030) multiplication(all_0_2_2, all_370_0_344) = all_20_0_17 & multiplication(zero, one) = all_370_0_344
% 222.07/175.30 |
% 222.07/175.30 | Applying alpha-rule on (1030) yields:
% 222.07/175.30 | (1031) multiplication(all_0_2_2, all_370_0_344) = all_20_0_17
% 222.07/175.30 | (1032) multiplication(zero, one) = all_370_0_344
% 222.07/175.30 |
% 222.07/175.30 | Instantiating (677) with all_372_0_345 yields:
% 222.07/175.30 | (1033) multiplication(all_372_0_345, zero) = zero & multiplication(zero, one) = all_372_0_345
% 222.07/175.30 |
% 222.07/175.30 | Applying alpha-rule on (1033) yields:
% 222.07/175.30 | (1034) multiplication(all_372_0_345, zero) = zero
% 222.07/175.30 | (1035) multiplication(zero, one) = all_372_0_345
% 222.07/175.30 |
% 222.07/175.30 | Instantiating (674) with all_379_0_352, all_379_1_353, all_379_2_354 yields:
% 222.07/175.30 | (1036) (all_379_0_352 = 0 & leq(all_379_1_353, all_0_2_2) = 0 & star(one) = all_379_2_354 & multiplication(one, all_379_2_354) = all_379_1_353) | ( ~ (all_379_2_354 = 0) & leq(all_0_2_2, all_0_2_2) = all_379_2_354)
% 222.07/175.30 |
% 222.07/175.30 | Instantiating (673) with all_381_0_358, all_381_1_359 yields:
% 222.07/175.30 | (1037) multiplication(all_38_0_20, one) = all_381_0_358 & multiplication(all_20_1_18, one) = all_381_1_359 & addition(all_381_1_359, all_381_0_358) = all_0_2_2
% 222.07/175.30 |
% 222.07/175.30 | Applying alpha-rule on (1037) yields:
% 222.07/175.30 | (1038) multiplication(all_38_0_20, one) = all_381_0_358
% 222.07/175.30 | (1039) multiplication(all_20_1_18, one) = all_381_1_359
% 222.07/175.30 | (1040) addition(all_381_1_359, all_381_0_358) = all_0_2_2
% 222.07/175.30 |
% 222.07/175.30 | Instantiating (690) with all_385_0_366 yields:
% 222.07/175.30 | (1041) addition(all_85_0_61, all_385_0_366) = all_26_0_19 & addition(all_20_0_17, all_0_1_1) = all_385_0_366
% 222.07/175.30 |
% 222.07/175.30 | Applying alpha-rule on (1041) yields:
% 222.07/175.30 | (1042) addition(all_85_0_61, all_385_0_366) = all_26_0_19
% 222.07/175.30 | (1043) addition(all_20_0_17, all_0_1_1) = all_385_0_366
% 222.07/175.30 |
% 222.07/175.30 | Instantiating (678) with all_387_0_367, all_387_1_368 yields:
% 222.07/175.30 | (1044) multiplication(all_110_2_102, all_195_1_228) = all_387_1_368 & multiplication(all_110_2_102, all_20_0_17) = all_387_0_367 & addition(all_387_1_368, all_387_0_367) = all_110_1_101
% 222.07/175.30 |
% 222.07/175.30 | Applying alpha-rule on (1044) yields:
% 222.07/175.30 | (1045) multiplication(all_110_2_102, all_195_1_228) = all_387_1_368
% 222.07/175.30 | (1046) multiplication(all_110_2_102, all_20_0_17) = all_387_0_367
% 222.07/175.30 | (1047) addition(all_387_1_368, all_387_0_367) = all_110_1_101
% 222.07/175.30 |
% 222.07/175.30 | Instantiating (679) with all_391_0_371, all_391_1_372, all_391_2_373 yields:
% 222.07/175.30 | (1048) (all_391_0_371 = 0 & strong_iteration(all_49_1_36) = all_391_2_373 & leq(zero, all_391_1_372) = 0 & multiplication(all_391_2_373, all_20_0_17) = all_391_1_372) | ( ~ (all_391_2_373 = 0) & leq(zero, all_20_0_17) = all_391_2_373)
% 222.07/175.30 |
% 222.07/175.30 | Instantiating (704) with all_392_0_374, all_392_1_375, all_392_2_376 yields:
% 222.07/175.30 | (1049) (all_392_0_374 = 0 & strong_iteration(one) = all_392_2_376 & leq(all_49_1_36, all_392_1_375) = 0 & multiplication(all_392_2_376, all_20_0_17) = all_392_1_375) | ( ~ (all_392_2_376 = 0) & leq(all_49_1_36, all_20_0_17) = all_392_2_376)
% 222.07/175.30 |
% 222.07/175.30 | Instantiating (717) with all_396_0_381 yields:
% 222.07/175.30 | (1050) addition(all_396_0_381, all_20_0_17) = all_0_2_2 & addition(all_49_1_36, all_85_0_61) = all_396_0_381
% 222.07/175.30 |
% 222.07/175.30 | Applying alpha-rule on (1050) yields:
% 222.07/175.30 | (1051) addition(all_396_0_381, all_20_0_17) = all_0_2_2
% 222.07/175.30 | (1052) addition(all_49_1_36, all_85_0_61) = all_396_0_381
% 222.07/175.30 |
% 222.07/175.30 | Instantiating (676) with all_400_0_383 yields:
% 222.07/175.30 | (1053) multiplication(all_400_0_383, zero) = all_49_1_36 & multiplication(all_20_1_18, zero) = all_400_0_383
% 222.07/175.30 |
% 222.07/175.30 | Applying alpha-rule on (1053) yields:
% 222.07/175.30 | (1054) multiplication(all_400_0_383, zero) = all_49_1_36
% 222.07/175.30 | (1055) multiplication(all_20_1_18, zero) = all_400_0_383
% 222.07/175.30 |
% 222.07/175.30 | Instantiating (695) with all_402_0_384, all_402_1_385, all_402_2_386 yields:
% 222.07/175.30 | (1056) (all_402_0_384 = 0 & strong_iteration(all_20_1_18) = all_402_2_386 & leq(zero, all_402_1_385) = 0 & multiplication(all_402_2_386, all_178_0_198) = all_402_1_385) | ( ~ (all_402_2_386 = 0) & leq(zero, all_20_0_17) = all_402_2_386)
% 222.07/175.30 |
% 222.07/175.30 | Instantiating (675) with all_405_0_388 yields:
% 222.07/175.30 | (1057) multiplication(all_405_0_388, all_38_0_20) = all_129_1_128 & multiplication(all_110_2_102, one) = all_405_0_388
% 222.07/175.30 |
% 222.07/175.30 | Applying alpha-rule on (1057) yields:
% 222.07/175.30 | (1058) multiplication(all_405_0_388, all_38_0_20) = all_129_1_128
% 222.07/175.30 | (1059) multiplication(all_110_2_102, one) = all_405_0_388
% 222.07/175.30 |
% 222.07/175.30 | Instantiating (706) with all_420_0_401 yields:
% 222.07/175.30 | (1060) addition(all_420_0_401, all_20_0_17) = all_20_0_17 & addition(all_195_1_228, all_49_1_36) = all_420_0_401
% 222.07/175.30 |
% 222.07/175.30 | Applying alpha-rule on (1060) yields:
% 222.07/175.30 | (1061) addition(all_420_0_401, all_20_0_17) = all_20_0_17
% 222.35/175.30 | (1062) addition(all_195_1_228, all_49_1_36) = all_420_0_401
% 222.35/175.30 |
% 222.35/175.30 | Instantiating (683) with all_428_0_411 yields:
% 222.35/175.30 | (1063) addition(all_428_0_411, all_20_0_17) = all_0_2_2 & addition(all_20_1_18, all_195_1_228) = all_428_0_411
% 222.35/175.30 |
% 222.35/175.30 | Applying alpha-rule on (1063) yields:
% 222.35/175.30 | (1064) addition(all_428_0_411, all_20_0_17) = all_0_2_2
% 222.35/175.30 | (1065) addition(all_20_1_18, all_195_1_228) = all_428_0_411
% 222.35/175.30 |
% 222.35/175.30 | Instantiating (701) with all_434_0_414 yields:
% 222.35/175.30 | (1066) addition(all_434_0_414, all_38_0_20) = all_0_2_2 & addition(all_20_1_18, all_49_1_36) = all_434_0_414
% 222.35/175.30 |
% 222.35/175.30 | Applying alpha-rule on (1066) yields:
% 222.35/175.30 | (1067) addition(all_434_0_414, all_38_0_20) = all_0_2_2
% 222.35/175.30 | (1068) addition(all_20_1_18, all_49_1_36) = all_434_0_414
% 222.35/175.30 |
% 222.35/175.30 | Instantiating (672) with all_443_0_421 yields:
% 222.35/175.30 | (1069) multiplication(all_443_0_421, one) = all_127_1_122 & multiplication(all_0_2_2, all_0_2_2) = all_443_0_421
% 222.35/175.30 |
% 222.35/175.30 | Applying alpha-rule on (1069) yields:
% 222.35/175.30 | (1070) multiplication(all_443_0_421, one) = all_127_1_122
% 222.35/175.30 | (1071) multiplication(all_0_2_2, all_0_2_2) = all_443_0_421
% 222.35/175.30 |
% 222.35/175.30 | Instantiating (627) with all_445_0_422, all_445_1_423 yields:
% 222.35/175.30 | (1072) star(all_20_1_18) = all_445_1_423 & multiplication(all_110_2_102, zero) = all_445_0_422 & addition(all_445_1_423, all_445_0_422) = all_110_2_102
% 222.35/175.30 |
% 222.35/175.30 | Applying alpha-rule on (1072) yields:
% 222.35/175.30 | (1073) star(all_20_1_18) = all_445_1_423
% 222.35/175.30 | (1074) multiplication(all_110_2_102, zero) = all_445_0_422
% 222.35/175.30 | (1075) addition(all_445_1_423, all_445_0_422) = all_110_2_102
% 222.35/175.30 |
% 222.35/175.30 | Instantiating (700) with all_447_0_424, all_447_1_425, all_447_2_426 yields:
% 222.35/175.30 | (1076) (all_447_0_424 = 0 & strong_iteration(one) = all_447_2_426 & leq(all_49_1_36, all_447_1_425) = 0 & multiplication(all_447_2_426, all_38_0_20) = all_447_1_425) | ( ~ (all_447_2_426 = 0) & leq(all_49_1_36, all_38_0_20) = all_447_2_426)
% 222.35/175.30 |
% 222.35/175.30 | Instantiating (736) with all_448_0_427 yields:
% 222.35/175.30 | (1077) addition(all_38_0_20, all_448_0_427) = all_152_0_162 & addition(one, all_0_1_1) = all_448_0_427
% 222.35/175.30 |
% 222.35/175.30 | Applying alpha-rule on (1077) yields:
% 222.35/175.30 | (1078) addition(all_38_0_20, all_448_0_427) = all_152_0_162
% 222.35/175.30 | (1079) addition(one, all_0_1_1) = all_448_0_427
% 222.35/175.30 |
% 222.35/175.30 | Instantiating (731) with all_452_0_429 yields:
% 222.35/175.30 | (1080) addition(all_20_0_17, all_452_0_429) = all_152_0_162 & addition(one, all_0_1_1) = all_452_0_429
% 222.35/175.30 |
% 222.35/175.30 | Applying alpha-rule on (1080) yields:
% 222.35/175.30 | (1081) addition(all_20_0_17, all_452_0_429) = all_152_0_162
% 222.35/175.31 | (1082) addition(one, all_0_1_1) = all_452_0_429
% 222.35/175.31 |
% 222.35/175.31 | Instantiating (876) with all_456_0_431, all_456_1_432, all_456_2_433 yields:
% 222.35/175.31 | (1083) (all_456_0_431 = 0 & strong_iteration(one) = all_456_2_433 & leq(one, all_456_1_432) = 0 & multiplication(all_456_2_433, all_20_0_17) = all_456_1_432) | ( ~ (all_456_2_433 = 0) & leq(one, all_38_0_20) = all_456_2_433)
% 222.35/175.31 |
% 222.35/175.31 | Instantiating (862) with all_458_0_437, all_458_1_438, all_458_2_439 yields:
% 222.35/175.31 | (1084) (all_458_0_437 = 0 & leq(all_458_1_438, all_0_2_2) = 0 & star(one) = all_458_2_439 & multiplication(all_458_2_439, zero) = all_458_1_438) | ( ~ (all_458_2_439 = 0) & leq(all_0_2_2, all_0_2_2) = all_458_2_439)
% 222.35/175.31 |
% 222.35/175.31 | Instantiating (861) with all_459_0_440, all_459_1_441, all_459_2_442 yields:
% 222.35/175.31 | (1085) (all_459_0_440 = 0 & strong_iteration(one) = all_459_2_442 & leq(all_0_2_2, all_459_1_441) = 0 & multiplication(all_459_2_442, zero) = all_459_1_441) | ( ~ (all_459_2_442 = 0) & leq(all_0_2_2, all_0_2_2) = all_459_2_442)
% 222.35/175.31 |
% 222.35/175.31 | Instantiating (699) with all_465_0_450, all_465_1_451, all_465_2_452 yields:
% 222.35/175.31 | (1086) (all_465_0_450 = 0 & strong_iteration(all_20_1_18) = all_465_2_452 & leq(zero, all_465_1_451) = 0 & multiplication(all_465_2_452, all_38_0_20) = all_465_1_451) | ( ~ (all_465_2_452 = 0) & leq(zero, all_38_0_20) = all_465_2_452)
% 222.35/175.31 |
% 222.35/175.31 | Instantiating (705) with all_466_0_453 yields:
% 222.35/175.31 | (1087) addition(all_466_0_453, all_20_0_17) = all_20_0_17 & addition(all_49_1_36, all_195_1_228) = all_466_0_453
% 222.35/175.31 |
% 222.35/175.31 | Applying alpha-rule on (1087) yields:
% 222.35/175.31 | (1088) addition(all_466_0_453, all_20_0_17) = all_20_0_17
% 222.35/175.31 | (1089) addition(all_49_1_36, all_195_1_228) = all_466_0_453
% 222.35/175.31 |
% 222.35/175.31 | Instantiating (698) with all_469_0_457 yields:
% 222.35/175.31 | (1090) addition(all_469_0_457, all_178_0_198) = all_0_2_2 & addition(all_20_1_18, all_49_1_36) = all_469_0_457
% 222.35/175.31 |
% 222.35/175.31 | Applying alpha-rule on (1090) yields:
% 222.35/175.31 | (1091) addition(all_469_0_457, all_178_0_198) = all_0_2_2
% 222.35/175.31 | (1092) addition(all_20_1_18, all_49_1_36) = all_469_0_457
% 222.35/175.31 |
% 222.35/175.31 | Instantiating (859) with all_477_0_461 yields:
% 222.35/175.31 | (1093) addition(all_477_0_461, all_205_0_233) = all_0_2_2 & addition(all_0_2_2, all_20_0_17) = all_477_0_461
% 222.35/175.31 |
% 222.35/175.31 | Applying alpha-rule on (1093) yields:
% 222.35/175.31 | (1094) addition(all_477_0_461, all_205_0_233) = all_0_2_2
% 222.35/175.31 | (1095) addition(all_0_2_2, all_20_0_17) = all_477_0_461
% 222.35/175.31 |
% 222.35/175.31 | Instantiating (919) with all_481_0_463 yields:
% 222.35/175.31 | (1096) addition(all_481_0_463, one) = all_203_0_232 & addition(zero, one) = all_481_0_463
% 222.35/175.31 |
% 222.35/175.31 | Applying alpha-rule on (1096) yields:
% 222.35/175.31 | (1097) addition(all_481_0_463, one) = all_203_0_232
% 222.35/175.31 | (1098) addition(zero, one) = all_481_0_463
% 222.35/175.31 |
% 222.35/175.31 | Instantiating (916) with all_483_0_464, all_483_1_465, all_483_2_466 yields:
% 222.35/175.31 | (1099) (all_483_0_464 = 0 & leq(all_483_1_465, one) = 0 & star(zero) = all_483_2_466 & multiplication(one, all_483_2_466) = all_483_1_465) | ( ~ (all_483_2_466 = 0) & leq(all_203_0_232, one) = all_483_2_466)
% 222.35/175.31 |
% 222.35/175.31 | Instantiating (874) with all_484_0_467 yields:
% 222.35/175.31 | (1100) addition(all_484_0_467, all_38_0_20) = all_26_0_19 & addition(one, all_44_0_29) = all_484_0_467
% 222.35/175.31 |
% 222.35/175.31 | Applying alpha-rule on (1100) yields:
% 222.35/175.31 | (1101) addition(all_484_0_467, all_38_0_20) = all_26_0_19
% 222.35/175.31 | (1102) addition(one, all_44_0_29) = all_484_0_467
% 222.35/175.31 |
% 222.35/175.31 | Instantiating (873) with all_486_0_468 yields:
% 222.35/175.31 | (1103) addition(all_486_0_468, all_20_0_17) = all_26_0_19 & addition(one, all_135_0_141) = all_486_0_468
% 222.35/175.31 |
% 222.35/175.31 | Applying alpha-rule on (1103) yields:
% 222.35/175.31 | (1104) addition(all_486_0_468, all_20_0_17) = all_26_0_19
% 222.35/175.31 | (1105) addition(one, all_135_0_141) = all_486_0_468
% 222.35/175.31 |
% 222.35/175.31 | Instantiating (850) with all_493_0_474 yields:
% 222.35/175.31 | (1106) addition(all_38_0_20, all_493_0_474) = all_26_0_19 & addition(all_20_1_18, all_147_0_152) = all_493_0_474
% 222.35/175.31 |
% 222.35/175.31 | Applying alpha-rule on (1106) yields:
% 222.35/175.31 | (1107) addition(all_38_0_20, all_493_0_474) = all_26_0_19
% 222.35/175.31 | (1108) addition(all_20_1_18, all_147_0_152) = all_493_0_474
% 222.35/175.31 |
% 222.35/175.31 | Instantiating (849) with all_497_0_476 yields:
% 222.35/175.31 | (1109) addition(all_85_0_61, all_497_0_476) = all_26_0_19 & addition(all_20_0_17, all_147_0_152) = all_497_0_476
% 222.35/175.31 |
% 222.35/175.31 | Applying alpha-rule on (1109) yields:
% 222.35/175.31 | (1110) addition(all_85_0_61, all_497_0_476) = all_26_0_19
% 222.35/175.31 | (1111) addition(all_20_0_17, all_147_0_152) = all_497_0_476
% 222.35/175.31 |
% 222.35/175.31 | Instantiating (847) with all_500_0_480, all_500_1_481, all_500_2_482 yields:
% 222.35/175.31 | (1112) (all_500_0_480 = 0 & strong_iteration(one) = all_500_2_482 & leq(all_0_2_2, all_500_1_481) = 0 & multiplication(all_500_2_482, all_147_0_152) = all_500_1_481) | ( ~ (all_500_2_482 = 0) & leq(all_0_2_2, all_26_0_19) = all_500_2_482)
% 222.35/175.31 |
% 222.35/175.31 | Instantiating (846) with all_501_0_483 yields:
% 222.35/175.31 | (1113) addition(all_205_0_233, all_162_0_173) = all_501_0_483 & addition(all_20_0_17, all_501_0_483) = all_26_0_19
% 222.35/175.31 |
% 222.35/175.31 | Applying alpha-rule on (1113) yields:
% 222.35/175.31 | (1114) addition(all_205_0_233, all_162_0_173) = all_501_0_483
% 222.35/175.31 | (1115) addition(all_20_0_17, all_501_0_483) = all_26_0_19
% 222.35/175.31 |
% 222.35/175.31 | Instantiating (869) with all_505_0_485 yields:
% 222.35/175.31 | (1116) addition(all_0_2_2, all_505_0_485) = all_0_2_2 & addition(zero, one) = all_505_0_485
% 222.35/175.31 |
% 222.35/175.31 | Applying alpha-rule on (1116) yields:
% 222.35/175.31 | (1117) addition(all_0_2_2, all_505_0_485) = all_0_2_2
% 222.35/175.31 | (1118) addition(zero, one) = all_505_0_485
% 222.35/175.31 |
% 222.35/175.31 | Instantiating (840) with all_511_0_488 yields:
% 222.35/175.31 | (1119) addition(all_511_0_488, all_178_0_198) = all_120_0_110 & addition(all_0_1_1, all_49_1_36) = all_511_0_488
% 222.35/175.31 |
% 222.35/175.31 | Applying alpha-rule on (1119) yields:
% 222.35/175.31 | (1120) addition(all_511_0_488, all_178_0_198) = all_120_0_110
% 222.35/175.31 | (1121) addition(all_0_1_1, all_49_1_36) = all_511_0_488
% 222.35/175.31 |
% 222.35/175.31 | Instantiating (839) with all_513_0_489 yields:
% 222.35/175.31 | (1122) addition(all_513_0_489, all_20_0_17) = all_120_0_110 & addition(all_0_1_1, all_195_1_228) = all_513_0_489
% 222.35/175.31 |
% 222.35/175.31 | Applying alpha-rule on (1122) yields:
% 222.35/175.31 | (1123) addition(all_513_0_489, all_20_0_17) = all_120_0_110
% 222.35/175.31 | (1124) addition(all_0_1_1, all_195_1_228) = all_513_0_489
% 222.35/175.31 |
% 222.35/175.31 | Instantiating (868) with all_519_0_492 yields:
% 222.35/175.31 | (1125) addition(all_0_2_2, all_519_0_492) = all_26_0_19 & addition(zero, all_0_1_1) = all_519_0_492
% 222.35/175.31 |
% 222.35/175.31 | Applying alpha-rule on (1125) yields:
% 222.35/175.31 | (1126) addition(all_0_2_2, all_519_0_492) = all_26_0_19
% 222.35/175.31 | (1127) addition(zero, all_0_1_1) = all_519_0_492
% 222.35/175.31 |
% 222.35/175.31 | Instantiating (872) with all_525_0_495 yields:
% 222.35/175.31 | (1128) addition(all_525_0_495, all_0_2_2) = all_26_0_19 & addition(one, all_0_1_1) = all_525_0_495
% 222.35/175.31 |
% 222.35/175.31 | Applying alpha-rule on (1128) yields:
% 222.35/175.31 | (1129) addition(all_525_0_495, all_0_2_2) = all_26_0_19
% 222.35/175.31 | (1130) addition(one, all_0_1_1) = all_525_0_495
% 222.35/175.31 |
% 222.35/175.31 | Instantiating (870) with all_528_0_499, all_528_1_500, all_528_2_501 yields:
% 222.35/175.31 | (1131) (all_528_0_499 = 0 & strong_iteration(one) = all_528_2_501 & leq(one, all_528_1_500) = 0 & multiplication(all_528_2_501, all_26_0_19) = all_528_1_500) | ( ~ (all_528_2_501 = 0) & leq(one, all_26_0_19) = all_528_2_501)
% 222.35/175.31 |
% 222.35/175.31 | Instantiating (871) with all_529_0_502 yields:
% 222.35/175.31 | (1132) addition(all_529_0_502, all_20_0_17) = all_26_0_19 & addition(one, all_44_0_29) = all_529_0_502
% 222.35/175.31 |
% 222.35/175.31 | Applying alpha-rule on (1132) yields:
% 222.35/175.31 | (1133) addition(all_529_0_502, all_20_0_17) = all_26_0_19
% 222.35/175.31 | (1134) addition(one, all_44_0_29) = all_529_0_502
% 222.35/175.31 |
% 222.35/175.31 | Instantiating (877) with all_533_0_504, all_533_1_505 yields:
% 222.35/175.31 | (1135) multiplication(all_110_2_102, all_20_0_17) = all_533_0_504 & multiplication(all_110_2_102, one) = all_533_1_505 & addition(all_533_1_505, all_533_0_504) = all_129_1_128
% 222.35/175.31 |
% 222.35/175.31 | Applying alpha-rule on (1135) yields:
% 222.35/175.31 | (1136) multiplication(all_110_2_102, all_20_0_17) = all_533_0_504
% 222.35/175.31 | (1137) multiplication(all_110_2_102, one) = all_533_1_505
% 222.35/175.31 | (1138) addition(all_533_1_505, all_533_0_504) = all_129_1_128
% 222.35/175.31 |
% 222.35/175.31 | Instantiating (841) with all_536_0_509 yields:
% 222.35/175.31 | (1139) addition(all_536_0_509, all_20_0_17) = all_120_0_110 & addition(all_0_1_1, all_49_1_36) = all_536_0_509
% 222.35/175.31 |
% 222.35/175.31 | Applying alpha-rule on (1139) yields:
% 222.35/175.31 | (1140) addition(all_536_0_509, all_20_0_17) = all_120_0_110
% 222.35/175.31 | (1141) addition(all_0_1_1, all_49_1_36) = all_536_0_509
% 222.35/175.31 |
% 222.35/175.31 | Instantiating (734) with all_552_0_522, all_552_1_523, all_552_2_524 yields:
% 222.35/175.31 | (1142) (all_552_0_522 = 0 & strong_iteration(one) = all_552_2_524 & leq(all_38_0_20, all_552_1_523) = 0 & multiplication(all_552_2_524, one) = all_552_1_523) | ( ~ (all_552_2_524 = 0) & leq(all_38_0_20, all_38_0_20) = all_552_2_524)
% 222.35/175.31 |
% 222.35/175.31 | Instantiating (728) with all_554_0_528, all_554_1_529, all_554_2_530 yields:
% 222.35/175.31 | (1143) (all_554_0_528 = 0 & leq(all_554_1_529, all_38_0_20) = 0 & star(one) = all_554_2_530 & multiplication(all_554_2_530, all_20_1_18) = all_554_1_529) | ( ~ (all_554_2_530 = 0) & leq(all_0_2_2, all_38_0_20) = all_554_2_530)
% 222.35/175.31 |
% 222.35/175.31 | Instantiating (727) with all_555_0_531, all_555_1_532, all_555_2_533 yields:
% 222.35/175.31 | (1144) (all_555_0_531 = 0 & strong_iteration(one) = all_555_2_533 & leq(all_38_0_20, all_555_1_532) = 0 & multiplication(all_555_2_533, all_20_1_18) = all_555_1_532) | ( ~ (all_555_2_533 = 0) & leq(all_38_0_20, all_0_2_2) = all_555_2_533)
% 222.35/175.31 |
% 222.35/175.31 | Instantiating (908) with all_556_0_534, all_556_1_535, all_556_2_536 yields:
% 222.35/175.31 | (1145) (all_556_0_534 = 0 & leq(all_556_1_535, one) = 0 & star(zero) = all_556_2_536 & multiplication(all_20_1_18, all_556_2_536) = all_556_1_535) | ( ~ (all_556_2_536 = 0) & leq(all_205_0_233, one) = all_556_2_536)
% 222.35/175.31 |
% 222.35/175.31 | Instantiating (905) with all_557_0_537 yields:
% 222.35/175.31 | (1146) addition(all_557_0_537, all_20_0_17) = all_120_0_110 & addition(all_0_1_1, zero) = all_557_0_537
% 222.35/175.31 |
% 222.35/175.31 | Applying alpha-rule on (1146) yields:
% 222.35/175.31 | (1147) addition(all_557_0_537, all_20_0_17) = all_120_0_110
% 222.35/175.31 | (1148) addition(all_0_1_1, zero) = all_557_0_537
% 222.35/175.31 |
% 222.35/175.31 | Instantiating (903) with all_559_0_538 yields:
% 222.35/175.31 | (1149) addition(all_20_0_17, all_44_0_29) = all_559_0_538 & addition(zero, all_559_0_538) = all_26_0_19
% 222.35/175.31 |
% 222.35/175.31 | Applying alpha-rule on (1149) yields:
% 222.35/175.31 | (1150) addition(all_20_0_17, all_44_0_29) = all_559_0_538
% 222.35/175.31 | (1151) addition(zero, all_559_0_538) = all_26_0_19
% 222.35/175.31 |
% 222.35/175.31 | Instantiating (733) with all_561_0_539, all_561_1_540 yields:
% 222.35/175.31 | (1152) multiplication(all_38_0_20, zero) = all_561_1_540 & multiplication(one, zero) = all_561_0_539 & addition(all_561_1_540, all_561_0_539) = all_178_0_198
% 222.35/175.31 |
% 222.35/175.31 | Applying alpha-rule on (1152) yields:
% 222.35/175.31 | (1153) multiplication(all_38_0_20, zero) = all_561_1_540
% 222.35/175.31 | (1154) multiplication(one, zero) = all_561_0_539
% 222.35/175.31 | (1155) addition(all_561_1_540, all_561_0_539) = all_178_0_198
% 222.35/175.31 |
% 222.35/175.31 | Instantiating (725) with all_563_0_541, all_563_1_542 yields:
% 222.35/175.31 | (1156) multiplication(all_0_2_2, all_38_0_20) = all_563_1_542 & multiplication(all_0_2_2, all_20_1_18) = all_563_0_541 & addition(all_563_1_542, all_563_0_541) = all_127_1_122
% 222.35/175.31 |
% 222.35/175.31 | Applying alpha-rule on (1156) yields:
% 222.35/175.31 | (1157) multiplication(all_0_2_2, all_38_0_20) = all_563_1_542
% 222.35/175.31 | (1158) multiplication(all_0_2_2, all_20_1_18) = all_563_0_541
% 222.35/175.31 | (1159) addition(all_563_1_542, all_563_0_541) = all_127_1_122
% 222.35/175.31 |
% 222.35/175.31 | Instantiating (724) with all_565_0_543, all_565_1_544 yields:
% 222.35/175.31 | (1160) multiplication(all_38_0_20, all_0_2_2) = all_565_1_544 & multiplication(all_20_1_18, all_0_2_2) = all_565_0_543 & addition(all_565_1_544, all_565_0_543) = all_127_1_122
% 222.35/175.31 |
% 222.35/175.31 | Applying alpha-rule on (1160) yields:
% 222.35/175.31 | (1161) multiplication(all_38_0_20, all_0_2_2) = all_565_1_544
% 222.35/175.31 | (1162) multiplication(all_20_1_18, all_0_2_2) = all_565_0_543
% 222.35/175.31 | (1163) addition(all_565_1_544, all_565_0_543) = all_127_1_122
% 222.35/175.31 |
% 222.35/175.31 | Instantiating (723) with all_567_0_545, all_567_1_546 yields:
% 222.35/175.31 | (1164) multiplication(all_38_0_20, all_20_1_18) = all_567_1_546 & multiplication(all_20_1_18, all_20_1_18) = all_567_0_545 & addition(all_567_1_546, all_567_0_545) = all_131_1_134
% 222.35/175.31 |
% 222.35/175.31 | Applying alpha-rule on (1164) yields:
% 222.35/175.32 | (1165) multiplication(all_38_0_20, all_20_1_18) = all_567_1_546
% 222.35/175.32 | (1166) multiplication(all_20_1_18, all_20_1_18) = all_567_0_545
% 222.35/175.32 | (1167) addition(all_567_1_546, all_567_0_545) = all_131_1_134
% 222.35/175.32 |
% 222.35/175.32 | Instantiating (722) with all_569_0_547, all_569_1_548 yields:
% 222.35/175.32 | (1168) multiplication(all_38_0_20, zero) = all_569_1_548 & multiplication(all_20_1_18, zero) = all_569_0_547 & addition(all_569_1_548, all_569_0_547) = all_20_0_17
% 222.35/175.32 |
% 222.35/175.32 | Applying alpha-rule on (1168) yields:
% 222.35/175.32 | (1169) multiplication(all_38_0_20, zero) = all_569_1_548
% 222.35/175.32 | (1170) multiplication(all_20_1_18, zero) = all_569_0_547
% 222.35/175.32 | (1171) addition(all_569_1_548, all_569_0_547) = all_20_0_17
% 222.35/175.32 |
% 222.35/175.32 | Instantiating (732) with all_573_0_550, all_573_1_551 yields:
% 222.35/175.32 | (1172) multiplication(all_110_2_102, all_38_0_20) = all_573_1_551 & multiplication(all_110_2_102, one) = all_573_0_550 & addition(all_573_1_551, all_573_0_550) = all_129_1_128
% 222.35/175.32 |
% 222.35/175.32 | Applying alpha-rule on (1172) yields:
% 222.35/175.32 | (1173) multiplication(all_110_2_102, all_38_0_20) = all_573_1_551
% 222.35/175.32 | (1174) multiplication(all_110_2_102, one) = all_573_0_550
% 222.35/175.32 | (1175) addition(all_573_1_551, all_573_0_550) = all_129_1_128
% 222.35/175.32 |
% 222.35/175.32 | Instantiating (904) with all_575_0_552 yields:
% 222.35/175.32 | (1176) addition(all_20_0_17, all_0_1_1) = all_575_0_552 & addition(zero, all_575_0_552) = all_155_0_166
% 222.35/175.32 |
% 222.35/175.32 | Applying alpha-rule on (1176) yields:
% 222.35/175.32 | (1177) addition(all_20_0_17, all_0_1_1) = all_575_0_552
% 222.35/175.32 | (1178) addition(zero, all_575_0_552) = all_155_0_166
% 222.35/175.32 |
% 222.35/175.32 | Instantiating (907) with all_577_0_553 yields:
% 222.35/175.32 | (1179) multiplication(one, all_577_0_553) = all_205_0_233 & addition(zero, all_20_1_18) = all_577_0_553
% 222.35/175.32 |
% 222.35/175.32 | Applying alpha-rule on (1179) yields:
% 222.35/175.32 | (1180) multiplication(one, all_577_0_553) = all_205_0_233
% 222.35/175.32 | (1181) addition(zero, all_20_1_18) = all_577_0_553
% 222.35/175.32 |
% 222.35/175.32 | Instantiating (812) with all_579_0_554, all_579_1_555, all_579_2_556 yields:
% 222.35/175.32 | (1182) (all_579_0_554 = 0 & leq(all_579_1_555, all_20_1_18) = 0 & star(one) = all_579_2_556 & multiplication(all_20_1_18, all_579_2_556) = all_579_1_555) | ( ~ (all_579_2_556 = 0) & leq(all_20_1_18, all_20_1_18) = all_579_2_556)
% 222.35/175.32 |
% 222.35/175.32 | Instantiating (810) with all_580_0_557 yields:
% 222.35/175.32 | (1183) multiplication(one, all_580_0_557) = all_85_0_61 & addition(all_20_1_18, all_49_1_36) = all_580_0_557
% 222.35/175.32 |
% 222.35/175.32 | Applying alpha-rule on (1183) yields:
% 222.35/175.32 | (1184) multiplication(one, all_580_0_557) = all_85_0_61
% 222.35/175.32 | (1185) addition(all_20_1_18, all_49_1_36) = all_580_0_557
% 222.35/175.32 |
% 222.35/175.32 | Instantiating (809) with all_582_0_558, all_582_1_559, all_582_2_560 yields:
% 222.35/175.32 | (1186) (all_582_0_558 = 0 & leq(all_582_1_559, all_20_1_18) = 0 & star(one) = all_582_2_560 & multiplication(all_582_2_560, all_49_1_36) = all_582_1_559) | ( ~ (all_582_2_560 = 0) & leq(all_85_0_61, all_20_1_18) = all_582_2_560)
% 222.35/175.32 |
% 222.35/175.32 | Instantiating (795) with all_583_0_561 yields:
% 222.35/175.32 | (1187) addition(all_49_1_36, all_583_0_561) = all_155_0_166 & addition(all_20_0_17, all_0_1_1) = all_583_0_561
% 222.35/175.32 |
% 222.35/175.32 | Applying alpha-rule on (1187) yields:
% 222.35/175.32 | (1188) addition(all_49_1_36, all_583_0_561) = all_155_0_166
% 222.35/175.32 | (1189) addition(all_20_0_17, all_0_1_1) = all_583_0_561
% 222.35/175.32 |
% 222.35/175.32 | Instantiating (794) with all_585_0_562 yields:
% 222.35/175.32 | (1190) addition(all_178_0_198, all_0_1_1) = all_585_0_562 & addition(all_49_1_36, all_585_0_562) = all_155_0_166
% 222.35/175.32 |
% 222.35/175.32 | Applying alpha-rule on (1190) yields:
% 222.35/175.32 | (1191) addition(all_178_0_198, all_0_1_1) = all_585_0_562
% 222.35/175.32 | (1192) addition(all_49_1_36, all_585_0_562) = all_155_0_166
% 222.35/175.32 |
% 222.35/175.32 | Instantiating (793) with all_587_0_563 yields:
% 222.35/175.32 | (1193) addition(all_195_1_228, all_587_0_563) = all_155_0_166 & addition(all_20_0_17, all_0_1_1) = all_587_0_563
% 222.35/175.32 |
% 222.35/175.32 | Applying alpha-rule on (1193) yields:
% 222.35/175.32 | (1194) addition(all_195_1_228, all_587_0_563) = all_155_0_166
% 222.35/175.32 | (1195) addition(all_20_0_17, all_0_1_1) = all_587_0_563
% 222.35/175.32 |
% 222.35/175.32 | Instantiating (789) with all_591_0_570 yields:
% 222.35/175.32 | (1196) addition(all_20_0_17, all_591_0_570) = all_26_0_19 & addition(all_20_0_17, all_44_0_29) = all_591_0_570
% 222.35/175.32 |
% 222.35/175.32 | Applying alpha-rule on (1196) yields:
% 222.35/175.32 | (1197) addition(all_20_0_17, all_591_0_570) = all_26_0_19
% 222.35/175.32 | (1198) addition(all_20_0_17, all_44_0_29) = all_591_0_570
% 222.35/175.32 |
% 222.35/175.32 | Instantiating (792) with all_593_0_571 yields:
% 222.35/175.32 | (1199) addition(all_20_0_17, all_593_0_571) = all_155_0_166 & addition(zero, all_0_1_1) = all_593_0_571
% 222.35/175.32 |
% 222.35/175.32 | Applying alpha-rule on (1199) yields:
% 222.35/175.32 | (1200) addition(all_20_0_17, all_593_0_571) = all_155_0_166
% 222.35/175.32 | (1201) addition(zero, all_0_1_1) = all_593_0_571
% 222.35/175.32 |
% 222.35/175.32 | Instantiating (802) with all_606_0_585, all_606_1_586, all_606_2_587 yields:
% 222.35/175.32 | (1202) (all_606_0_585 = 0 & strong_iteration(one) = all_606_2_587 & leq(all_20_1_18, all_606_1_586) = 0 & multiplication(all_606_2_587, all_152_0_162) = all_606_1_586) | ( ~ (all_606_2_587 = 0) & leq(all_20_1_18, all_26_0_19) = all_606_2_587)
% 222.35/175.32 |
% 222.35/175.32 | Instantiating (808) with all_608_0_591, all_608_1_592, all_608_2_593 yields:
% 222.35/175.32 | (1203) (all_608_0_591 = 0 & strong_iteration(one) = all_608_2_593 & leq(all_20_1_18, all_608_1_592) = 0 & multiplication(all_608_2_593, all_49_1_36) = all_608_1_592) | ( ~ (all_608_2_593 = 0) & leq(all_20_1_18, all_85_0_61) = all_608_2_593)
% 222.35/175.32 |
% 222.35/175.32 | Instantiating (892) with all_609_0_594, all_609_1_595, all_609_2_596 yields:
% 222.35/175.32 | (1204) (all_609_0_594 = 0 & leq(all_609_1_595, zero) = 0 & star(zero) = all_609_2_596 & multiplication(all_49_1_36, all_609_2_596) = all_609_1_595) | ( ~ (all_609_2_596 = 0) & leq(all_49_1_36, zero) = all_609_2_596)
% 222.35/175.32 |
% 222.35/175.32 | Instantiating (890) with all_610_0_597, all_610_1_598, all_610_2_599 yields:
% 222.35/175.32 | (1205) (all_610_0_597 = 0 & leq(all_610_1_598, zero) = 0 & star(one) = all_610_2_599 & multiplication(all_610_2_599, all_49_1_36) = all_610_1_598) | ( ~ (all_610_2_599 = 0) & leq(all_49_1_36, zero) = all_610_2_599)
% 222.35/175.32 |
% 222.35/175.32 | Instantiating (878) with all_612_0_603, all_612_1_604 yields:
% 222.35/175.32 | (1206) multiplication(all_20_0_17, zero) = all_612_0_603 & multiplication(one, zero) = all_612_1_604 & addition(all_612_1_604, all_612_0_603) = all_178_0_198
% 222.35/175.32 |
% 222.35/175.32 | Applying alpha-rule on (1206) yields:
% 222.35/175.32 | (1207) multiplication(all_20_0_17, zero) = all_612_0_603
% 222.35/175.32 | (1208) multiplication(one, zero) = all_612_1_604
% 222.35/175.32 | (1209) addition(all_612_1_604, all_612_0_603) = all_178_0_198
% 222.35/175.32 |
% 222.35/175.32 | Instantiating (801) with all_614_0_605, all_614_1_606, all_614_2_607 yields:
% 222.35/175.32 | (1210) (all_614_0_605 = 0 & strong_iteration(all_20_1_18) = all_614_2_607 & leq(one, all_614_1_606) = 0 & multiplication(all_614_2_607, all_152_0_162) = all_614_1_606) | ( ~ (all_614_2_607 = 0) & leq(one, all_26_0_19) = all_614_2_607)
% 222.35/175.32 |
% 222.35/175.32 | Instantiating (768) with all_624_0_620 yields:
% 222.35/175.32 | (1211) addition(all_624_0_620, all_49_1_36) = all_0_2_2 & addition(all_85_0_61, all_20_0_17) = all_624_0_620
% 222.35/175.32 |
% 222.35/175.32 | Applying alpha-rule on (1211) yields:
% 222.35/175.32 | (1212) addition(all_624_0_620, all_49_1_36) = all_0_2_2
% 222.35/175.32 | (1213) addition(all_85_0_61, all_20_0_17) = all_624_0_620
% 222.35/175.32 |
% 222.35/175.32 | Instantiating (770) with all_628_0_622 yields:
% 222.35/175.32 | (1214) addition(all_49_1_36, all_203_0_232) = all_628_0_622 & addition(all_20_0_17, all_628_0_622) = all_38_0_20
% 222.35/175.32 |
% 222.35/175.32 | Applying alpha-rule on (1214) yields:
% 222.35/175.32 | (1215) addition(all_49_1_36, all_203_0_232) = all_628_0_622
% 222.35/175.32 | (1216) addition(all_20_0_17, all_628_0_622) = all_38_0_20
% 222.35/175.32 |
% 222.35/175.32 | Instantiating (769) with all_630_0_623 yields:
% 222.35/175.32 | (1217) addition(all_49_1_36, all_205_0_233) = all_630_0_623 & addition(all_20_0_17, all_630_0_623) = all_0_2_2
% 222.35/175.32 |
% 222.35/175.32 | Applying alpha-rule on (1217) yields:
% 222.35/175.32 | (1218) addition(all_49_1_36, all_205_0_233) = all_630_0_623
% 222.35/175.32 | (1219) addition(all_20_0_17, all_630_0_623) = all_0_2_2
% 222.35/175.32 |
% 222.35/175.32 | Instantiating (771) with all_632_0_624, all_632_1_625, all_632_2_626 yields:
% 222.35/175.32 | (1220) (all_632_0_624 = 0 & strong_iteration(one) = all_632_2_626 & leq(all_20_0_17, all_632_1_625) = 0 & multiplication(all_632_2_626, all_44_0_29) = all_632_1_625) | ( ~ (all_632_2_626 = 0) & leq(all_20_0_17, all_26_0_19) = all_632_2_626)
% 222.35/175.32 |
% 222.35/175.32 | Instantiating (760) with all_633_0_627 yields:
% 222.35/175.32 | (1221) addition(all_203_0_232, one) = all_633_0_627 & addition(all_20_0_17, all_633_0_627) = all_38_0_20
% 222.35/175.32 |
% 222.35/175.32 | Applying alpha-rule on (1221) yields:
% 222.35/175.32 | (1222) addition(all_203_0_232, one) = all_633_0_627
% 222.35/175.32 | (1223) addition(all_20_0_17, all_633_0_627) = all_38_0_20
% 222.35/175.32 |
% 222.35/175.32 | Instantiating (758) with all_637_0_629 yields:
% 222.35/175.32 | (1224) addition(all_178_0_198, all_203_0_232) = all_637_0_629 & addition(all_49_1_36, all_637_0_629) = all_38_0_20
% 222.35/175.32 |
% 222.35/175.32 | Applying alpha-rule on (1224) yields:
% 222.35/175.32 | (1225) addition(all_178_0_198, all_203_0_232) = all_637_0_629
% 222.35/175.32 | (1226) addition(all_49_1_36, all_637_0_629) = all_38_0_20
% 222.35/175.32 |
% 222.35/175.32 | Instantiating (800) with all_643_0_632 yields:
% 222.35/175.32 | (1227) addition(all_155_0_166, zero) = all_643_0_632 & addition(all_20_1_18, all_643_0_632) = all_26_0_19
% 222.35/175.32 |
% 222.35/175.32 | Applying alpha-rule on (1227) yields:
% 222.35/175.32 | (1228) addition(all_155_0_166, zero) = all_643_0_632
% 222.35/175.32 | (1229) addition(all_20_1_18, all_643_0_632) = all_26_0_19
% 222.35/175.32 |
% 222.35/175.32 | Instantiating (885) with all_646_0_636 yields:
% 222.35/175.32 | (1230) addition(one, all_646_0_636) = all_147_0_152 & addition(one, all_0_1_1) = all_646_0_636
% 222.35/175.32 |
% 222.35/175.32 | Applying alpha-rule on (1230) yields:
% 222.35/175.32 | (1231) addition(one, all_646_0_636) = all_147_0_152
% 222.35/175.32 | (1232) addition(one, all_0_1_1) = all_646_0_636
% 222.35/175.32 |
% 222.35/175.32 | Instantiating (884) with all_651_0_646, all_651_1_647, all_651_2_648 yields:
% 222.35/175.32 | (1233) (all_651_0_646 = 0 & strong_iteration(one) = all_651_2_648 & leq(one, all_651_1_647) = 0 & multiplication(all_651_2_648, all_0_1_1) = all_651_1_647) | ( ~ (all_651_2_648 = 0) & leq(one, all_147_0_152) = all_651_2_648)
% 222.35/175.32 |
% 222.35/175.32 | Instantiating (799) with all_655_0_653, all_655_1_654, all_655_2_655 yields:
% 222.35/175.32 | (1234) (all_655_0_653 = 0 & strong_iteration(one) = all_655_2_655 & leq(all_20_1_18, all_655_1_654) = 0 & multiplication(all_655_2_655, all_155_0_166) = all_655_1_654) | ( ~ (all_655_2_655 = 0) & leq(all_20_1_18, all_26_0_19) = all_655_2_655)
% 222.35/175.32 |
% 222.35/175.32 | Instantiating (889) with all_658_0_657, all_658_1_658, all_658_2_659 yields:
% 222.35/175.32 | (1235) (all_658_0_657 = 0 & strong_iteration(one) = all_658_2_659 & leq(zero, all_658_1_658) = 0 & multiplication(all_658_2_659, all_49_1_36) = all_658_1_658) | ( ~ (all_658_2_659 = 0) & leq(zero, all_49_1_36) = all_658_2_659)
% 222.35/175.32 |
% 222.35/175.32 | Instantiating (726) with all_660_0_663, all_660_1_664 yields:
% 222.35/175.32 | (1236) multiplication(all_38_0_20, one) = all_660_1_664 & multiplication(all_20_1_18, one) = all_660_0_663 & addition(all_660_1_664, all_660_0_663) = all_0_2_2
% 222.35/175.32 |
% 222.35/175.32 | Applying alpha-rule on (1236) yields:
% 222.35/175.32 | (1237) multiplication(all_38_0_20, one) = all_660_1_664
% 222.35/175.32 | (1238) multiplication(all_20_1_18, one) = all_660_0_663
% 222.35/175.32 | (1239) addition(all_660_1_664, all_660_0_663) = all_0_2_2
% 222.35/175.32 |
% 222.35/175.32 | Instantiating (729) with all_662_0_665 yields:
% 222.35/175.32 | (1240) addition(all_38_0_20, all_662_0_665) = all_26_0_19 & addition(all_20_1_18, all_0_1_1) = all_662_0_665
% 222.35/175.32 |
% 222.35/175.32 | Applying alpha-rule on (1240) yields:
% 222.35/175.32 | (1241) addition(all_38_0_20, all_662_0_665) = all_26_0_19
% 222.35/175.32 | (1242) addition(all_20_1_18, all_0_1_1) = all_662_0_665
% 222.35/175.32 |
% 222.35/175.32 | Instantiating (735) with all_664_0_666, all_664_1_667, all_664_2_668 yields:
% 222.35/175.32 | (1243) (all_664_0_666 = 0 & leq(all_664_1_667, all_38_0_20) = 0 & star(one) = all_664_2_668 & multiplication(all_664_2_668, one) = all_664_1_667) | ( ~ (all_664_2_668 = 0) & leq(all_38_0_20, all_38_0_20) = all_664_2_668)
% 222.35/175.32 |
% 222.35/175.32 | Instantiating (743) with all_665_0_669, all_665_1_670, all_665_2_671 yields:
% 222.35/175.32 | (1244) (all_665_0_669 = 0 & leq(all_665_1_670, all_20_0_17) = 0 & star(one) = all_665_2_671 & multiplication(all_205_0_233, all_665_2_671) = all_665_1_670) | ( ~ (all_665_2_671 = 0) & leq(all_0_2_2, all_20_0_17) = all_665_2_671)
% 222.35/175.32 |
% 222.35/175.32 | Instantiating (742) with all_666_0_672, all_666_1_673, all_666_2_674 yields:
% 222.35/175.32 | (1245) (all_666_0_672 = 0 & leq(all_666_1_673, all_20_0_17) = 0 & star(one) = all_666_2_674 & multiplication(all_666_2_674, all_205_0_233) = all_666_1_673) | ( ~ (all_666_2_674 = 0) & leq(all_0_2_2, all_20_0_17) = all_666_2_674)
% 222.35/175.32 |
% 222.35/175.32 | Instantiating (741) with all_667_0_675, all_667_1_676, all_667_2_677 yields:
% 222.35/175.32 | (1246) (all_667_0_675 = 0 & strong_iteration(one) = all_667_2_677 & leq(all_20_0_17, all_667_1_676) = 0 & multiplication(all_667_2_677, all_205_0_233) = all_667_1_676) | ( ~ (all_667_2_677 = 0) & leq(all_20_0_17, all_0_2_2) = all_667_2_677)
% 222.35/175.32 |
% 222.35/175.32 | Instantiating (670) with all_669_0_681, all_669_1_682 yields:
% 222.35/175.33 | (1247) multiplication(all_0_2_2, all_0_2_2) = all_669_0_681 & multiplication(all_0_2_2, one) = all_669_1_682 & addition(all_669_1_682, all_669_0_681) = all_127_1_122
% 222.35/175.33 |
% 222.35/175.33 | Applying alpha-rule on (1247) yields:
% 222.35/175.33 | (1248) multiplication(all_0_2_2, all_0_2_2) = all_669_0_681
% 222.35/175.33 | (1249) multiplication(all_0_2_2, one) = all_669_1_682
% 222.35/175.33 | (1250) addition(all_669_1_682, all_669_0_681) = all_127_1_122
% 222.35/175.33 |
% 222.35/175.33 | Instantiating (669) with all_671_0_683, all_671_1_684 yields:
% 222.35/175.33 | (1251) multiplication(all_0_2_2, all_0_2_2) = all_671_0_683 & multiplication(one, all_0_2_2) = all_671_1_684 & addition(all_671_1_684, all_671_0_683) = all_127_1_122
% 222.35/175.33 |
% 222.35/175.33 | Applying alpha-rule on (1251) yields:
% 222.35/175.33 | (1252) multiplication(all_0_2_2, all_0_2_2) = all_671_0_683
% 222.35/175.33 | (1253) multiplication(one, all_0_2_2) = all_671_1_684
% 222.35/175.33 | (1254) addition(all_671_1_684, all_671_0_683) = all_127_1_122
% 222.35/175.33 |
% 222.35/175.33 | Instantiating (655) with all_673_0_685, all_673_1_686 yields:
% 222.35/175.33 | (1255) multiplication(all_20_0_17, all_20_1_18) = all_673_1_686 & multiplication(all_20_1_18, all_20_1_18) = all_673_0_685 & addition(all_673_1_686, all_673_0_685) = all_131_1_134
% 222.35/175.33 |
% 222.35/175.33 | Applying alpha-rule on (1255) yields:
% 222.35/175.33 | (1256) multiplication(all_20_0_17, all_20_1_18) = all_673_1_686
% 222.35/175.33 | (1257) multiplication(all_20_1_18, all_20_1_18) = all_673_0_685
% 222.35/175.33 | (1258) addition(all_673_1_686, all_673_0_685) = all_131_1_134
% 222.35/175.33 |
% 222.35/175.33 | Instantiating (653) with all_675_0_687 yields:
% 222.35/175.33 | (1259) multiplication(all_675_0_687, one) = all_131_1_134 & multiplication(all_0_2_2, all_20_1_18) = all_675_0_687
% 222.35/175.33 |
% 222.35/175.33 | Applying alpha-rule on (1259) yields:
% 222.35/175.33 | (1260) multiplication(all_675_0_687, one) = all_131_1_134
% 222.35/175.33 | (1261) multiplication(all_0_2_2, all_20_1_18) = all_675_0_687
% 222.35/175.33 |
% 222.35/175.33 | Instantiating (652) with all_677_0_688, all_677_1_689 yields:
% 222.35/175.33 | (1262) multiplication(all_20_1_18, all_20_1_18) = all_677_0_688 & multiplication(all_20_1_18, one) = all_677_1_689 & addition(all_677_1_689, all_677_0_688) = all_130_1_131
% 222.35/175.33 |
% 222.35/175.33 | Applying alpha-rule on (1262) yields:
% 222.35/175.33 | (1263) multiplication(all_20_1_18, all_20_1_18) = all_677_0_688
% 222.35/175.33 | (1264) multiplication(all_20_1_18, one) = all_677_1_689
% 222.35/175.33 | (1265) addition(all_677_1_689, all_677_0_688) = all_130_1_131
% 222.35/175.33 |
% 222.35/175.33 | Instantiating (666) with all_679_0_690, all_679_1_691 yields:
% 222.35/175.33 | (1266) multiplication(all_0_2_2, all_20_0_17) = all_679_0_690 & multiplication(all_0_2_2, all_20_1_18) = all_679_1_691 & addition(all_679_1_691, all_679_0_690) = all_127_1_122
% 222.35/175.33 |
% 222.35/175.33 | Applying alpha-rule on (1266) yields:
% 222.35/175.33 | (1267) multiplication(all_0_2_2, all_20_0_17) = all_679_0_690
% 222.35/175.33 | (1268) multiplication(all_0_2_2, all_20_1_18) = all_679_1_691
% 222.35/175.33 | (1269) addition(all_679_1_691, all_679_0_690) = all_127_1_122
% 222.35/175.33 |
% 222.35/175.33 | Instantiating (664) with all_681_0_692, all_681_1_693 yields:
% 222.35/175.33 | (1270) multiplication(all_0_2_2, all_38_0_20) = all_681_0_692 & multiplication(all_0_2_2, all_20_1_18) = all_681_1_693 & addition(all_681_1_693, all_681_0_692) = all_127_1_122
% 222.35/175.33 |
% 222.35/175.33 | Applying alpha-rule on (1270) yields:
% 222.35/175.33 | (1271) multiplication(all_0_2_2, all_38_0_20) = all_681_0_692
% 222.35/175.33 | (1272) multiplication(all_0_2_2, all_20_1_18) = all_681_1_693
% 222.35/175.33 | (1273) addition(all_681_1_693, all_681_0_692) = all_127_1_122
% 222.35/175.33 |
% 222.35/175.33 | Instantiating (654) with all_685_0_696 yields:
% 222.35/175.33 | (1274) multiplication(all_0_2_2, all_20_1_18) = all_685_0_696 & multiplication(one, all_685_0_696) = all_131_1_134
% 222.35/175.33 |
% 222.35/175.33 | Applying alpha-rule on (1274) yields:
% 222.35/175.33 | (1275) multiplication(all_0_2_2, all_20_1_18) = all_685_0_696
% 222.35/175.33 | (1276) multiplication(one, all_685_0_696) = all_131_1_134
% 222.35/175.33 |
% 222.35/175.33 | Instantiating (668) with all_687_0_697, all_687_1_698 yields:
% 222.35/175.33 | (1277) multiplication(all_0_2_2, all_0_2_2) = all_687_1_698 & multiplication(all_0_2_2, one) = all_687_0_697 & addition(all_687_1_698, all_687_0_697) = all_127_1_122
% 222.35/175.33 |
% 222.35/175.33 | Applying alpha-rule on (1277) yields:
% 222.35/175.33 | (1278) multiplication(all_0_2_2, all_0_2_2) = all_687_1_698
% 222.35/175.33 | (1279) multiplication(all_0_2_2, one) = all_687_0_697
% 222.35/175.33 | (1280) addition(all_687_1_698, all_687_0_697) = all_127_1_122
% 222.35/175.33 |
% 222.35/175.33 | Instantiating (667) with all_689_0_699, all_689_1_700 yields:
% 222.35/175.33 | (1281) multiplication(all_0_2_2, all_0_2_2) = all_689_1_700 & multiplication(one, all_0_2_2) = all_689_0_699 & addition(all_689_1_700, all_689_0_699) = all_127_1_122
% 222.35/175.33 |
% 222.35/175.33 | Applying alpha-rule on (1281) yields:
% 222.35/175.33 | (1282) multiplication(all_0_2_2, all_0_2_2) = all_689_1_700
% 222.35/175.33 | (1283) multiplication(one, all_0_2_2) = all_689_0_699
% 222.35/175.33 | (1284) addition(all_689_1_700, all_689_0_699) = all_127_1_122
% 222.35/175.33 |
% 222.35/175.33 | Instantiating (882) with all_697_0_705 yields:
% 222.35/175.33 | (1285) addition(all_20_0_17, all_0_1_1) = all_697_0_705 & addition(one, all_697_0_705) = all_152_0_162
% 222.35/175.33 |
% 222.35/175.33 | Applying alpha-rule on (1285) yields:
% 222.35/175.33 | (1286) addition(all_20_0_17, all_0_1_1) = all_697_0_705
% 222.35/175.33 | (1287) addition(one, all_697_0_705) = all_152_0_162
% 222.35/175.33 |
% 222.35/175.33 | Instantiating (881) with all_699_0_706 yields:
% 222.35/175.33 | (1288) addition(all_699_0_706, all_20_0_17) = all_26_0_19 & addition(all_44_0_29, one) = all_699_0_706
% 222.35/175.33 |
% 222.35/175.33 | Applying alpha-rule on (1288) yields:
% 222.35/175.33 | (1289) addition(all_699_0_706, all_20_0_17) = all_26_0_19
% 222.35/175.33 | (1290) addition(all_44_0_29, one) = all_699_0_706
% 222.35/175.33 |
% 222.35/175.33 | Instantiating (761) with all_701_0_707, all_701_1_708, all_701_2_709 yields:
% 222.35/175.33 | (1291) (all_701_0_707 = 0 & leq(all_701_1_708, all_0_2_2) = 0 & star(zero) = all_701_2_709 & multiplication(all_49_1_36, all_701_2_709) = all_701_1_708) | ( ~ (all_701_2_709 = 0) & leq(all_20_0_17, all_0_2_2) = all_701_2_709)
% 222.35/175.33 |
% 222.35/175.33 | Instantiating (751) with all_702_0_710, all_702_1_711, all_702_2_712 yields:
% 222.35/175.33 | (1292) (all_702_0_710 = 0 & strong_iteration(one) = all_702_2_712 & leq(all_20_0_17, all_702_1_711) = 0 & multiplication(all_702_2_712, all_203_0_232) = all_702_1_711) | ( ~ (all_702_2_712 = 0) & leq(all_20_0_17, all_38_0_20) = all_702_2_712)
% 222.35/175.33 |
% 222.35/175.33 | Instantiating (879) with all_704_0_716 yields:
% 222.35/175.33 | (1293) addition(all_704_0_716, all_178_0_198) = all_38_0_20 & addition(one, all_49_1_36) = all_704_0_716
% 222.35/175.33 |
% 222.35/175.33 | Applying alpha-rule on (1293) yields:
% 222.35/175.33 | (1294) addition(all_704_0_716, all_178_0_198) = all_38_0_20
% 222.35/175.33 | (1295) addition(one, all_49_1_36) = all_704_0_716
% 222.35/175.33 |
% 222.35/175.33 | Instantiating (880) with all_708_0_718 yields:
% 222.35/175.33 | (1296) addition(all_708_0_718, all_20_0_17) = all_38_0_20 & addition(one, all_49_1_36) = all_708_0_718
% 222.35/175.33 |
% 222.35/175.33 | Applying alpha-rule on (1296) yields:
% 222.35/175.33 | (1297) addition(all_708_0_718, all_20_0_17) = all_38_0_20
% 222.35/175.33 | (1298) addition(one, all_49_1_36) = all_708_0_718
% 222.35/175.33 |
% 222.35/175.33 | Instantiating (740) with all_714_0_727, all_714_1_728 yields:
% 222.35/175.33 | (1299) multiplication(all_205_0_233, zero) = all_714_0_727 & multiplication(all_20_0_17, zero) = all_714_1_728 & addition(all_714_1_728, all_714_0_727) = all_20_0_17
% 222.35/175.33 |
% 222.35/175.33 | Applying alpha-rule on (1299) yields:
% 222.35/175.33 | (1300) multiplication(all_205_0_233, zero) = all_714_0_727
% 222.35/175.33 | (1301) multiplication(all_20_0_17, zero) = all_714_1_728
% 222.35/175.33 | (1302) addition(all_714_1_728, all_714_0_727) = all_20_0_17
% 222.35/175.33 |
% 222.35/175.33 | Instantiating (927) with all_720_0_741, all_720_1_742, all_720_2_743 yields:
% 222.35/175.33 | (1303) (all_720_0_741 = 0 & strong_iteration(zero) = all_720_2_743 & leq(zero, all_720_1_742) = 0 & multiplication(all_720_2_743, zero) = all_720_1_742) | ( ~ (all_720_2_743 = 0) & leq(zero, zero) = all_720_2_743)
% 222.35/175.33 |
% 222.35/175.33 | Instantiating (910) with all_723_0_746, all_723_1_747, all_723_2_748 yields:
% 222.35/175.33 | (1304) (all_723_0_746 = 0 & strong_iteration(zero) = all_723_2_748 & leq(zero, all_723_1_747) = 0 & multiplication(all_723_2_748, all_20_1_18) = all_723_1_747) | ( ~ (all_723_2_748 = 0) & leq(zero, all_205_0_233) = all_723_2_748)
% 222.35/175.33 |
% 222.35/175.33 | Instantiating (901) with all_733_0_761 yields:
% 222.35/175.33 | (1305) addition(all_20_0_17, one) = all_733_0_761 & addition(zero, all_733_0_761) = all_38_0_20
% 222.35/175.33 |
% 222.35/175.33 | Applying alpha-rule on (1305) yields:
% 222.35/175.33 | (1306) addition(all_20_0_17, one) = all_733_0_761
% 222.35/175.33 | (1307) addition(zero, all_733_0_761) = all_38_0_20
% 222.35/175.33 |
% 222.35/175.33 | Instantiating (896) with all_736_0_765, all_736_1_766, all_736_2_767 yields:
% 222.35/175.33 | (1308) (all_736_0_765 = 0 & strong_iteration(one) = all_736_2_767 & leq(zero, all_736_1_766) = 0 & multiplication(all_736_2_767, all_20_0_17) = all_736_1_766) | ( ~ (all_736_2_767 = 0) & leq(zero, all_20_0_17) = all_736_2_767)
% 222.35/175.33 |
% 222.35/175.33 | Instantiating (909) with all_737_0_768, all_737_1_769, all_737_2_770 yields:
% 222.35/175.33 | (1309) (all_737_0_768 = 0 & strong_iteration(one) = all_737_2_770 & leq(zero, all_737_1_769) = 0 & multiplication(all_737_2_770, all_20_1_18) = all_737_1_769) | ( ~ (all_737_2_770 = 0) & leq(zero, all_205_0_233) = all_737_2_770)
% 222.35/175.33 |
% 222.35/175.33 | Instantiating (898) with all_738_0_771, all_738_1_772 yields:
% 222.35/175.33 | (1310) multiplication(all_20_0_17, one) = all_738_0_771 & multiplication(zero, one) = all_738_1_772 & addition(all_738_1_772, all_738_0_771) = all_20_0_17
% 222.35/175.33 |
% 222.35/175.33 | Applying alpha-rule on (1310) yields:
% 222.35/175.33 | (1311) multiplication(all_20_0_17, one) = all_738_0_771
% 222.35/175.33 | (1312) multiplication(zero, one) = all_738_1_772
% 222.35/175.33 | (1313) addition(all_738_1_772, all_738_0_771) = all_20_0_17
% 222.35/175.33 |
% 222.35/175.33 | Instantiating (902) with all_740_0_773 yields:
% 222.35/175.33 | (1314) addition(all_740_0_773, all_20_0_17) = all_20_0_17 & addition(zero, all_195_1_228) = all_740_0_773
% 222.35/175.33 |
% 222.35/175.33 | Applying alpha-rule on (1314) yields:
% 222.35/175.33 | (1315) addition(all_740_0_773, all_20_0_17) = all_20_0_17
% 222.35/175.33 | (1316) addition(zero, all_195_1_228) = all_740_0_773
% 222.35/175.33 |
% 222.35/175.33 | Instantiating (851) with all_746_0_777 yields:
% 222.35/175.33 | (1317) addition(all_205_0_233, all_147_0_152) = all_746_0_777 & addition(all_20_0_17, all_746_0_777) = all_26_0_19
% 222.35/175.33 |
% 222.35/175.33 | Applying alpha-rule on (1317) yields:
% 222.35/175.33 | (1318) addition(all_205_0_233, all_147_0_152) = all_746_0_777
% 222.35/175.33 | (1319) addition(all_20_0_17, all_746_0_777) = all_26_0_19
% 222.35/175.33 |
% 222.35/175.33 | Instantiating (756) with all_751_0_782, all_751_1_783, all_751_2_784 yields:
% 222.35/175.33 | (1320) (all_751_0_782 = 0 & leq(all_751_1_783, all_20_0_17) = 0 & star(zero) = all_751_2_784 & multiplication(all_203_0_232, all_751_2_784) = all_751_1_783) | ( ~ (all_751_2_784 = 0) & leq(all_38_0_20, all_20_0_17) = all_751_2_784)
% 222.35/175.33 |
% 222.35/175.33 | Instantiating (748) with all_756_0_787 yields:
% 222.35/175.33 | (1321) addition(all_205_0_233, all_0_1_1) = all_756_0_787 & addition(all_20_0_17, all_756_0_787) = all_26_0_19
% 222.35/175.33 |
% 222.35/175.33 | Applying alpha-rule on (1321) yields:
% 222.35/175.33 | (1322) addition(all_205_0_233, all_0_1_1) = all_756_0_787
% 222.35/175.33 | (1323) addition(all_20_0_17, all_756_0_787) = all_26_0_19
% 222.35/175.33 |
% 222.35/175.33 | Instantiating (747) with all_758_0_788 yields:
% 222.35/175.33 | (1324) addition(all_20_0_17, all_758_0_788) = all_0_2_2 & addition(zero, all_205_0_233) = all_758_0_788
% 222.35/175.33 |
% 222.35/175.33 | Applying alpha-rule on (1324) yields:
% 222.35/175.33 | (1325) addition(all_20_0_17, all_758_0_788) = all_0_2_2
% 222.35/175.33 | (1326) addition(zero, all_205_0_233) = all_758_0_788
% 222.35/175.33 |
% 222.35/175.33 | Instantiating (739) with all_760_0_789, all_760_1_790, all_760_2_791 yields:
% 222.35/175.33 | (1327) (all_760_0_789 = 0 & leq(all_760_1_790, all_0_2_2) = 0 & star(zero) = all_760_2_791 & multiplication(all_205_0_233, all_760_2_791) = all_760_1_790) | ( ~ (all_760_2_791 = 0) & leq(all_0_2_2, all_0_2_2) = all_760_2_791)
% 222.35/175.33 |
% 222.35/175.33 | Instantiating (746) with all_767_0_796, all_767_1_797 yields:
% 222.35/175.33 | (1328) multiplication(all_0_2_2, all_205_0_233) = all_767_0_796 & multiplication(all_0_2_2, all_20_0_17) = all_767_1_797 & addition(all_767_1_797, all_767_0_796) = all_127_1_122
% 222.35/175.33 |
% 222.35/175.33 | Applying alpha-rule on (1328) yields:
% 222.35/175.33 | (1329) multiplication(all_0_2_2, all_205_0_233) = all_767_0_796
% 222.35/175.34 | (1330) multiplication(all_0_2_2, all_20_0_17) = all_767_1_797
% 222.35/175.34 | (1331) addition(all_767_1_797, all_767_0_796) = all_127_1_122
% 222.35/175.34 |
% 222.35/175.34 | Instantiating (745) with all_769_0_798, all_769_1_799 yields:
% 222.35/175.34 | (1332) multiplication(all_205_0_233, all_0_2_2) = all_769_0_798 & multiplication(all_20_0_17, all_0_2_2) = all_769_1_799 & addition(all_769_1_799, all_769_0_798) = all_127_1_122
% 222.35/175.34 |
% 222.35/175.34 | Applying alpha-rule on (1332) yields:
% 222.35/175.34 | (1333) multiplication(all_205_0_233, all_0_2_2) = all_769_0_798
% 222.35/175.34 | (1334) multiplication(all_20_0_17, all_0_2_2) = all_769_1_799
% 222.35/175.34 | (1335) addition(all_769_1_799, all_769_0_798) = all_127_1_122
% 222.35/175.34 |
% 222.35/175.34 | Instantiating (744) with all_774_0_809, all_774_1_810, all_774_2_811 yields:
% 222.35/175.34 | (1336) (all_774_0_809 = 0 & leq(all_774_1_810, all_20_0_17) = 0 & star(zero) = all_774_2_811 & multiplication(all_205_0_233, all_774_2_811) = all_774_1_810) | ( ~ (all_774_2_811 = 0) & leq(all_0_2_2, all_20_0_17) = all_774_2_811)
% 222.35/175.34 |
% 222.35/175.34 | Instantiating (749) with all_775_0_812 yields:
% 222.35/175.34 | (1337) addition(all_205_0_233, one) = all_775_0_812 & addition(all_20_0_17, all_775_0_812) = all_0_2_2
% 222.35/175.34 |
% 222.35/175.34 | Applying alpha-rule on (1337) yields:
% 222.35/175.34 | (1338) addition(all_205_0_233, one) = all_775_0_812
% 222.35/175.34 | (1339) addition(all_20_0_17, all_775_0_812) = all_0_2_2
% 222.35/175.34 |
% 222.35/175.34 | Instantiating (755) with all_777_0_813, all_777_1_814, all_777_2_815 yields:
% 222.35/175.34 | (1340) (all_777_0_813 = 0 & leq(all_777_1_814, all_20_0_17) = 0 & star(one) = all_777_2_815 & multiplication(all_203_0_232, all_777_2_815) = all_777_1_814) | ( ~ (all_777_2_815 = 0) & leq(all_38_0_20, all_20_0_17) = all_777_2_815)
% 222.35/175.34 |
% 222.35/175.34 | Instantiating (754) with all_778_0_816, all_778_1_817 yields:
% 222.35/175.34 | (1341) multiplication(all_203_0_232, zero) = all_778_0_816 & multiplication(all_20_0_17, zero) = all_778_1_817 & addition(all_778_1_817, all_778_0_816) = all_178_0_198
% 222.35/175.34 |
% 222.35/175.34 | Applying alpha-rule on (1341) yields:
% 222.35/175.34 | (1342) multiplication(all_203_0_232, zero) = all_778_0_816
% 222.35/175.34 | (1343) multiplication(all_20_0_17, zero) = all_778_1_817
% 222.35/175.34 | (1344) addition(all_778_1_817, all_778_0_816) = all_178_0_198
% 222.35/175.34 |
% 222.35/175.34 | Instantiating (737) with all_784_0_821 yields:
% 222.35/175.34 | (1345) addition(all_26_0_19, all_784_0_821) = all_26_0_19 & addition(zero, one) = all_784_0_821
% 222.35/175.34 |
% 222.35/175.34 | Applying alpha-rule on (1345) yields:
% 222.35/175.34 | (1346) addition(all_26_0_19, all_784_0_821) = all_26_0_19
% 222.35/175.34 | (1347) addition(zero, one) = all_784_0_821
% 222.35/175.34 |
% 222.35/175.34 | Instantiating (738) with all_789_0_826 yields:
% 222.35/175.34 | (1348) addition(all_0_1_1, zero) = all_789_0_826 & addition(all_0_2_2, all_789_0_826) = all_26_0_19
% 222.35/175.34 |
% 222.35/175.34 | Applying alpha-rule on (1348) yields:
% 222.35/175.34 | (1349) addition(all_0_1_1, zero) = all_789_0_826
% 222.35/175.34 | (1350) addition(all_0_2_2, all_789_0_826) = all_26_0_19
% 222.35/175.34 |
% 222.35/175.34 | Instantiating (900) with all_807_0_840 yields:
% 222.35/175.34 | (1351) addition(all_20_0_17, all_20_1_18) = all_807_0_840 & addition(zero, all_807_0_840) = all_0_2_2
% 222.35/175.34 |
% 222.35/175.34 | Applying alpha-rule on (1351) yields:
% 222.35/175.34 | (1352) addition(all_20_0_17, all_20_1_18) = all_807_0_840
% 222.35/175.34 | (1353) addition(zero, all_807_0_840) = all_0_2_2
% 222.35/175.34 |
% 222.35/175.34 | Instantiating (894) with all_812_0_845, all_812_1_846, all_812_2_847 yields:
% 222.35/175.34 | (1354) (all_812_0_845 = 0 & leq(all_812_1_846, zero) = 0 & star(zero) = all_812_2_847 & multiplication(all_812_2_847, all_49_1_36) = all_812_1_846) | ( ~ (all_812_2_847 = 0) & leq(all_49_1_36, zero) = all_812_2_847)
% 222.35/175.34 |
% 222.35/175.34 | Instantiating (926) with all_813_0_848, all_813_1_849, all_813_2_850 yields:
% 222.35/175.34 | (1355) (all_813_0_848 = 0 & leq(all_813_1_849, zero) = 0 & star(zero) = all_813_2_850 & multiplication(zero, all_813_2_850) = all_813_1_849) | ( ~ (all_813_2_850 = 0) & leq(zero, zero) = all_813_2_850)
% 222.35/175.34 |
% 222.35/175.34 | Instantiating (811) with all_814_0_851 yields:
% 222.35/175.34 | (1356) addition(all_20_1_18, all_49_1_36) = all_814_0_851 & addition(one, all_814_0_851) = all_85_0_61
% 222.35/175.34 |
% 222.35/175.34 | Applying alpha-rule on (1356) yields:
% 222.35/175.34 | (1357) addition(all_20_1_18, all_49_1_36) = all_814_0_851
% 222.35/175.34 | (1358) addition(one, all_814_0_851) = all_85_0_61
% 222.35/175.34 |
% 222.35/175.34 | Instantiating (925) with all_816_0_852 yields:
% 222.35/175.34 | (1359) multiplication(all_816_0_852, zero) = zero & addition(zero, one) = all_816_0_852
% 222.35/175.34 |
% 222.35/175.34 | Applying alpha-rule on (1359) yields:
% 222.35/175.34 | (1360) multiplication(all_816_0_852, zero) = zero
% 222.35/175.34 | (1361) addition(zero, one) = all_816_0_852
% 222.35/175.34 |
% 222.35/175.34 | Instantiating (923) with all_818_0_853, all_818_1_854, all_818_2_855 yields:
% 222.35/175.34 | (1362) (all_818_0_853 = 0 & strong_iteration(one) = all_818_2_855 & leq(zero, all_818_1_854) = 0 & multiplication(all_818_2_855, zero) = all_818_1_854) | ( ~ (all_818_2_855 = 0) & leq(zero, zero) = all_818_2_855)
% 222.35/175.34 |
% 222.35/175.34 | Instantiating (922) with all_819_0_856, all_819_1_857, all_819_2_858 yields:
% 222.35/175.34 | (1363) (all_819_0_856 = 0 & leq(all_819_1_857, one) = 0 & star(zero) = all_819_2_858 & multiplication(zero, all_819_2_858) = all_819_1_857) | ( ~ (all_819_2_858 = 0) & leq(zero, one) = all_819_2_858)
% 222.35/175.34 |
% 222.35/175.34 | Instantiating (924) with all_820_0_859, all_820_1_860, all_820_2_861 yields:
% 222.35/175.34 | (1364) (all_820_0_859 = 0 & leq(all_820_1_860, zero) = 0 & star(one) = all_820_2_861 & multiplication(all_820_2_861, zero) = all_820_1_860) | ( ~ (all_820_2_861 = 0) & leq(zero, zero) = all_820_2_861)
% 222.35/175.34 |
% 222.35/175.34 | Instantiating (798) with all_822_0_865, all_822_1_866, all_822_2_867 yields:
% 222.35/175.34 | (1365) (all_822_0_865 = 0 & strong_iteration(all_20_1_18) = all_822_2_867 & leq(one, all_822_1_866) = 0 & multiplication(all_822_2_867, all_155_0_166) = all_822_1_866) | ( ~ (all_822_2_867 = 0) & leq(one, all_26_0_19) = all_822_2_867)
% 222.35/175.34 |
% 222.35/175.34 | Instantiating (730) with all_823_0_868, all_823_1_869, all_823_2_870 yields:
% 222.35/175.34 | (1366) (all_823_0_868 = 0 & strong_iteration(one) = all_823_2_870 & leq(all_38_0_20, all_823_1_869) = 0 & multiplication(all_823_2_870, all_0_1_1) = all_823_1_869) | ( ~ (all_823_2_870 = 0) & leq(all_38_0_20, all_152_0_162) = all_823_2_870)
% 222.35/175.34 |
% 222.35/175.34 | Instantiating (893) with all_827_0_875, all_827_1_876, all_827_2_877 yields:
% 222.35/175.34 | (1367) (all_827_0_875 = 0 & strong_iteration(zero) = all_827_2_877 & leq(zero, all_827_1_876) = 0 & multiplication(all_827_2_877, all_49_1_36) = all_827_1_876) | ( ~ (all_827_2_877 = 0) & leq(zero, all_49_1_36) = all_827_2_877)
% 222.35/175.34 |
% 222.35/175.34 | Instantiating (899) with all_828_0_878, all_828_1_879, all_828_2_880 yields:
% 222.35/175.34 | (1368) (all_828_0_878 = 0 & strong_iteration(zero) = all_828_2_880 & leq(zero, all_828_1_879) = 0 & multiplication(all_828_2_880, all_20_0_17) = all_828_1_879) | ( ~ (all_828_2_880 = 0) & leq(zero, all_20_0_17) = all_828_2_880)
% 222.35/175.34 |
% 222.35/175.34 | Instantiating (913) with all_829_0_881 yields:
% 222.35/175.34 | (1369) addition(all_829_0_881, one) = all_205_0_233 & addition(zero, all_20_1_18) = all_829_0_881
% 222.35/175.34 |
% 222.35/175.34 | Applying alpha-rule on (1369) yields:
% 222.35/175.34 | (1370) addition(all_829_0_881, one) = all_205_0_233
% 222.35/175.34 | (1371) addition(zero, all_20_1_18) = all_829_0_881
% 222.35/175.34 |
% 222.35/175.34 | Instantiating (912) with all_831_0_882 yields:
% 222.35/175.34 | (1372) addition(all_831_0_882, all_20_1_18) = all_205_0_233 & addition(zero, all_20_1_18) = all_831_0_882
% 222.35/175.34 |
% 222.35/175.34 | Applying alpha-rule on (1372) yields:
% 222.35/175.34 | (1373) addition(all_831_0_882, all_20_1_18) = all_205_0_233
% 222.35/175.34 | (1374) addition(zero, all_20_1_18) = all_831_0_882
% 222.35/175.34 |
% 222.35/175.34 | Instantiating (911) with all_835_0_884 yields:
% 222.35/175.34 | (1375) addition(all_835_0_884, all_20_1_18) = all_205_0_233 & addition(zero, one) = all_835_0_884
% 222.35/175.34 |
% 222.35/175.34 | Applying alpha-rule on (1375) yields:
% 222.35/175.34 | (1376) addition(all_835_0_884, all_20_1_18) = all_205_0_233
% 222.35/175.34 | (1377) addition(zero, one) = all_835_0_884
% 222.35/175.34 |
% 222.35/175.34 | Instantiating (753) with all_837_0_885, all_837_1_886 yields:
% 222.35/175.34 | (1378) multiplication(all_110_2_102, all_203_0_232) = all_837_0_885 & multiplication(all_110_2_102, all_20_0_17) = all_837_1_886 & addition(all_837_1_886, all_837_0_885) = all_129_1_128
% 222.35/175.34 |
% 222.35/175.34 | Applying alpha-rule on (1378) yields:
% 222.35/175.34 | (1379) multiplication(all_110_2_102, all_203_0_232) = all_837_0_885
% 222.35/175.34 | (1380) multiplication(all_110_2_102, all_20_0_17) = all_837_1_886
% 222.35/175.34 | (1381) addition(all_837_1_886, all_837_0_885) = all_129_1_128
% 222.35/175.34 |
% 222.35/175.34 | Instantiating (752) with all_839_0_887, all_839_1_888, all_839_2_889 yields:
% 222.35/175.34 | (1382) (all_839_0_887 = 0 & leq(all_839_1_888, all_20_0_17) = 0 & star(one) = all_839_2_889 & multiplication(all_839_2_889, all_203_0_232) = all_839_1_888) | ( ~ (all_839_2_889 = 0) & leq(all_38_0_20, all_20_0_17) = all_839_2_889)
% 222.35/175.34 |
% 222.35/175.34 | Instantiating (897) with all_840_0_890, all_840_1_891 yields:
% 222.35/175.34 | (1383) multiplication(all_110_2_102, all_20_0_17) = all_840_0_890 & multiplication(all_110_2_102, zero) = all_840_1_891 & addition(all_840_1_891, all_840_0_890) = all_110_1_101
% 222.35/175.34 |
% 222.35/175.34 | Applying alpha-rule on (1383) yields:
% 222.35/175.34 | (1384) multiplication(all_110_2_102, all_20_0_17) = all_840_0_890
% 222.35/175.34 | (1385) multiplication(all_110_2_102, zero) = all_840_1_891
% 222.35/175.34 | (1386) addition(all_840_1_891, all_840_0_890) = all_110_1_101
% 222.35/175.34 |
% 222.35/175.34 | Instantiating (635) with all_842_0_892, all_842_1_893 yields:
% 222.35/175.34 | (1387) multiplication(all_20_0_17, zero) = all_842_1_893 & multiplication(one, zero) = all_842_0_892 & addition(all_842_1_893, all_842_0_892) = all_178_0_198
% 222.35/175.34 |
% 222.35/175.34 | Applying alpha-rule on (1387) yields:
% 222.35/175.34 | (1388) multiplication(all_20_0_17, zero) = all_842_1_893
% 222.35/175.34 | (1389) multiplication(one, zero) = all_842_0_892
% 222.35/175.34 | (1390) addition(all_842_1_893, all_842_0_892) = all_178_0_198
% 222.35/175.34 |
% 222.35/175.34 | Instantiating (634) with all_846_0_895 yields:
% 222.35/175.34 | (1391) multiplication(all_20_1_18, all_846_0_895) = all_195_1_228 & multiplication(zero, zero) = all_846_0_895
% 222.35/175.34 |
% 222.35/175.34 | Applying alpha-rule on (1391) yields:
% 222.35/175.34 | (1392) multiplication(all_20_1_18, all_846_0_895) = all_195_1_228
% 222.35/175.34 | (1393) multiplication(zero, zero) = all_846_0_895
% 222.35/175.34 |
% 222.35/175.34 | Instantiating (663) with all_848_0_896, all_848_1_897 yields:
% 222.35/175.34 | (1394) multiplication(all_0_2_2, all_20_0_17) = all_848_1_897 & multiplication(all_0_2_2, all_20_1_18) = all_848_0_896 & addition(all_848_1_897, all_848_0_896) = all_127_1_122
% 222.35/175.34 |
% 222.35/175.34 | Applying alpha-rule on (1394) yields:
% 222.35/175.34 | (1395) multiplication(all_0_2_2, all_20_0_17) = all_848_1_897
% 222.35/175.34 | (1396) multiplication(all_0_2_2, all_20_1_18) = all_848_0_896
% 222.35/175.34 | (1397) addition(all_848_1_897, all_848_0_896) = all_127_1_122
% 222.35/175.34 |
% 222.35/175.34 | Instantiating (662) with all_850_0_898, all_850_1_899 yields:
% 222.35/175.34 | (1398) multiplication(all_20_0_17, all_0_2_2) = all_850_1_899 & multiplication(all_20_1_18, all_0_2_2) = all_850_0_898 & addition(all_850_1_899, all_850_0_898) = all_127_1_122
% 222.35/175.34 |
% 222.35/175.34 | Applying alpha-rule on (1398) yields:
% 222.35/175.34 | (1399) multiplication(all_20_0_17, all_0_2_2) = all_850_1_899
% 222.35/175.34 | (1400) multiplication(all_20_1_18, all_0_2_2) = all_850_0_898
% 222.35/175.34 | (1401) addition(all_850_1_899, all_850_0_898) = all_127_1_122
% 222.35/175.34 |
% 222.35/175.34 | Instantiating (757) with all_855_0_904 yields:
% 222.35/175.34 | (1402) addition(all_20_0_17, all_855_0_904) = all_38_0_20 & addition(zero, all_203_0_232) = all_855_0_904
% 222.35/175.34 |
% 222.35/175.34 | Applying alpha-rule on (1402) yields:
% 222.35/175.34 | (1403) addition(all_20_0_17, all_855_0_904) = all_38_0_20
% 222.35/175.34 | (1404) addition(zero, all_203_0_232) = all_855_0_904
% 222.35/175.34 |
% 222.35/175.35 | Instantiating (759) with all_857_0_905 yields:
% 222.35/175.35 | (1405) addition(all_203_0_232, all_0_1_1) = all_857_0_905 & addition(all_20_0_17, all_857_0_905) = all_152_0_162
% 222.35/175.35 |
% 222.35/175.35 | Applying alpha-rule on (1405) yields:
% 222.35/175.35 | (1406) addition(all_203_0_232, all_0_1_1) = all_857_0_905
% 222.35/175.35 | (1407) addition(all_20_0_17, all_857_0_905) = all_152_0_162
% 222.35/175.35 |
% 222.35/175.35 | Instantiating (659) with all_864_0_911, all_864_1_912 yields:
% 222.35/175.35 | (1408) multiplication(all_0_2_2, all_20_1_18) = all_864_0_911 & multiplication(all_0_2_2, one) = all_864_1_912 & addition(all_864_1_912, all_864_0_911) = all_131_1_134
% 222.35/175.35 |
% 222.35/175.35 | Applying alpha-rule on (1408) yields:
% 222.35/175.35 | (1409) multiplication(all_0_2_2, all_20_1_18) = all_864_0_911
% 222.35/175.35 | (1410) multiplication(all_0_2_2, one) = all_864_1_912
% 222.35/175.35 | (1411) addition(all_864_1_912, all_864_0_911) = all_131_1_134
% 222.35/175.35 |
% 222.35/175.35 | Instantiating (657) with all_866_0_913, all_866_1_914 yields:
% 222.35/175.35 | (1412) multiplication(all_20_0_17, all_20_1_18) = all_866_0_913 & multiplication(all_20_1_18, all_20_1_18) = all_866_1_914 & addition(all_866_1_914, all_866_0_913) = all_131_1_134
% 222.35/175.35 |
% 222.35/175.35 | Applying alpha-rule on (1412) yields:
% 222.35/175.35 | (1413) multiplication(all_20_0_17, all_20_1_18) = all_866_0_913
% 222.35/175.35 | (1414) multiplication(all_20_1_18, all_20_1_18) = all_866_1_914
% 222.35/175.35 | (1415) addition(all_866_1_914, all_866_0_913) = all_131_1_134
% 222.35/175.35 |
% 222.35/175.35 | Instantiating (656) with all_868_0_915, all_868_1_916 yields:
% 222.35/175.35 | (1416) multiplication(all_38_0_20, all_20_1_18) = all_868_0_915 & multiplication(all_20_1_18, all_20_1_18) = all_868_1_916 & addition(all_868_1_916, all_868_0_915) = all_131_1_134
% 222.35/175.35 |
% 222.35/175.35 | Applying alpha-rule on (1416) yields:
% 222.35/175.35 | (1417) multiplication(all_38_0_20, all_20_1_18) = all_868_0_915
% 222.35/175.35 | (1418) multiplication(all_20_1_18, all_20_1_18) = all_868_1_916
% 222.35/175.35 | (1419) addition(all_868_1_916, all_868_0_915) = all_131_1_134
% 222.35/175.35 |
% 222.35/175.35 | Instantiating (658) with all_870_0_917, all_870_1_918 yields:
% 222.35/175.35 | (1420) multiplication(all_0_2_2, all_20_1_18) = all_870_1_918 & multiplication(one, all_20_1_18) = all_870_0_917 & addition(all_870_1_918, all_870_0_917) = all_131_1_134
% 222.35/175.35 |
% 222.35/175.35 | Applying alpha-rule on (1420) yields:
% 222.35/175.35 | (1421) multiplication(all_0_2_2, all_20_1_18) = all_870_1_918
% 222.35/175.35 | (1422) multiplication(one, all_20_1_18) = all_870_0_917
% 222.35/175.35 | (1423) addition(all_870_1_918, all_870_0_917) = all_131_1_134
% 222.35/175.35 |
% 222.35/175.35 | Instantiating (661) with all_872_0_919 yields:
% 222.35/175.35 | (1424) multiplication(all_0_2_2, all_0_2_2) = all_872_0_919 & multiplication(one, all_872_0_919) = all_127_1_122
% 222.35/175.35 |
% 222.35/175.35 | Applying alpha-rule on (1424) yields:
% 222.35/175.35 | (1425) multiplication(all_0_2_2, all_0_2_2) = all_872_0_919
% 222.35/175.35 | (1426) multiplication(one, all_872_0_919) = all_127_1_122
% 222.35/175.35 |
% 222.35/175.35 | Instantiating (891) with all_876_0_921, all_876_1_922 yields:
% 222.35/175.35 | (1427) multiplication(all_49_1_36, zero) = all_876_0_921 & multiplication(zero, zero) = all_876_1_922 & addition(all_876_1_922, all_876_0_921) = all_195_1_228
% 222.35/175.35 |
% 222.35/175.35 | Applying alpha-rule on (1427) yields:
% 222.35/175.35 | (1428) multiplication(all_49_1_36, zero) = all_876_0_921
% 222.35/175.35 | (1429) multiplication(zero, zero) = all_876_1_922
% 222.35/175.35 | (1430) addition(all_876_1_922, all_876_0_921) = all_195_1_228
% 222.35/175.35 |
% 222.35/175.35 | Instantiating (660) with all_878_0_923, all_878_1_924 yields:
% 222.35/175.35 | (1431) multiplication(all_0_2_2, all_20_1_18) = all_878_0_923 & multiplication(one, all_20_1_18) = all_878_1_924 & addition(all_878_1_924, all_878_0_923) = all_131_1_134
% 222.35/175.35 |
% 222.35/175.35 | Applying alpha-rule on (1431) yields:
% 222.35/175.35 | (1432) multiplication(all_0_2_2, all_20_1_18) = all_878_0_923
% 222.35/175.35 | (1433) multiplication(one, all_20_1_18) = all_878_1_924
% 222.35/175.35 | (1434) addition(all_878_1_924, all_878_0_923) = all_131_1_134
% 222.35/175.35 |
% 222.35/175.35 | Instantiating (750) with all_881_0_928, all_881_1_929, all_881_2_930 yields:
% 222.35/175.35 | (1435) (all_881_0_928 = 0 & leq(all_881_1_929, all_0_2_2) = 0 & star(zero) = all_881_2_930 & multiplication(all_203_0_232, all_881_2_930) = all_881_1_929) | ( ~ (all_881_2_930 = 0) & leq(all_38_0_20, all_0_2_2) = all_881_2_930)
% 222.35/175.35 |
% 222.35/175.35 | Instantiating (720) with all_893_0_944 yields:
% 222.35/175.35 | (1436) addition(all_162_0_173, all_893_0_944) = all_135_0_141 & addition(all_20_1_18, all_49_1_36) = all_893_0_944
% 222.35/175.35 |
% 222.35/175.35 | Applying alpha-rule on (1436) yields:
% 222.35/175.35 | (1437) addition(all_162_0_173, all_893_0_944) = all_135_0_141
% 222.35/175.35 | (1438) addition(all_20_1_18, all_49_1_36) = all_893_0_944
% 222.35/175.35 |
% 222.35/175.35 | Instantiating (716) with all_895_0_945 yields:
% 222.35/175.35 | (1439) addition(all_895_0_945, all_0_2_2) = all_0_2_2 & addition(one, all_49_1_36) = all_895_0_945
% 222.35/175.35 |
% 222.35/175.35 | Applying alpha-rule on (1439) yields:
% 222.35/175.35 | (1440) addition(all_895_0_945, all_0_2_2) = all_0_2_2
% 222.35/175.35 | (1441) addition(one, all_49_1_36) = all_895_0_945
% 222.35/175.35 |
% 222.35/175.35 | Instantiating (651) with all_901_0_948, all_901_1_949 yields:
% 222.35/175.35 | (1442) multiplication(all_20_1_18, all_20_1_18) = all_901_0_948 & multiplication(one, all_20_1_18) = all_901_1_949 & addition(all_901_1_949, all_901_0_948) = all_130_1_131
% 222.35/175.35 |
% 222.35/175.35 | Applying alpha-rule on (1442) yields:
% 222.35/175.35 | (1443) multiplication(all_20_1_18, all_20_1_18) = all_901_0_948
% 222.35/175.35 | (1444) multiplication(one, all_20_1_18) = all_901_1_949
% 222.35/175.35 | (1445) addition(all_901_1_949, all_901_0_948) = all_130_1_131
% 222.35/175.35 |
% 222.35/175.35 | Instantiating (649) with all_903_0_950 yields:
% 222.35/175.35 | (1446) multiplication(all_903_0_950, one) = all_130_1_131 & multiplication(all_20_1_18, all_20_1_18) = all_903_0_950
% 222.35/175.35 |
% 222.35/175.35 | Applying alpha-rule on (1446) yields:
% 222.35/175.35 | (1447) multiplication(all_903_0_950, one) = all_130_1_131
% 222.35/175.35 | (1448) multiplication(all_20_1_18, all_20_1_18) = all_903_0_950
% 222.35/175.35 |
% 222.35/175.35 | Instantiating (650) with all_905_0_951 yields:
% 222.35/175.35 | (1449) multiplication(all_20_1_18, all_20_1_18) = all_905_0_951 & multiplication(one, all_905_0_951) = all_130_1_131
% 222.35/175.35 |
% 222.35/175.35 | Applying alpha-rule on (1449) yields:
% 222.35/175.35 | (1450) multiplication(all_20_1_18, all_20_1_18) = all_905_0_951
% 222.35/175.35 | (1451) multiplication(one, all_905_0_951) = all_130_1_131
% 222.35/175.35 |
% 222.35/175.35 | Instantiating (665) with all_910_0_956, all_910_1_957 yields:
% 222.35/175.35 | (1452) multiplication(all_20_0_17, all_0_2_2) = all_910_0_956 & multiplication(all_20_1_18, all_0_2_2) = all_910_1_957 & addition(all_910_1_957, all_910_0_956) = all_127_1_122
% 222.35/175.35 |
% 222.35/175.35 | Applying alpha-rule on (1452) yields:
% 222.35/175.35 | (1453) multiplication(all_20_0_17, all_0_2_2) = all_910_0_956
% 222.35/175.35 | (1454) multiplication(all_20_1_18, all_0_2_2) = all_910_1_957
% 222.35/175.35 | (1455) addition(all_910_1_957, all_910_0_956) = all_127_1_122
% 222.35/175.35 |
% 222.35/175.35 | Instantiating (648) with all_916_0_970, all_916_1_971, all_916_2_972 yields:
% 222.35/175.35 | (1456) (all_916_0_970 = 0 & leq(all_916_1_971, all_20_0_17) = 0 & star(zero) = all_916_2_972 & multiplication(zero, all_916_2_972) = all_916_1_971) | ( ~ (all_916_2_972 = 0) & leq(all_20_0_17, all_20_0_17) = all_916_2_972)
% 222.35/175.35 |
% 222.35/175.35 | Instantiating (633) with all_918_0_976, all_918_1_977 yields:
% 222.35/175.35 | (1457) multiplication(all_110_2_102, all_20_0_17) = all_918_1_977 & multiplication(all_110_2_102, zero) = all_918_0_976 & addition(all_918_1_977, all_918_0_976) = all_110_1_101
% 222.35/175.35 |
% 222.35/175.35 | Applying alpha-rule on (1457) yields:
% 222.35/175.35 | (1458) multiplication(all_110_2_102, all_20_0_17) = all_918_1_977
% 222.35/175.35 | (1459) multiplication(all_110_2_102, zero) = all_918_0_976
% 222.35/175.35 | (1460) addition(all_918_1_977, all_918_0_976) = all_110_1_101
% 222.35/175.35 |
% 222.35/175.35 | Instantiating (631) with all_920_0_978 yields:
% 222.35/175.35 | (1461) multiplication(all_920_0_978, zero) = all_110_1_101 & multiplication(all_110_2_102, all_0_2_2) = all_920_0_978
% 222.35/175.35 |
% 222.35/175.35 | Applying alpha-rule on (1461) yields:
% 222.35/175.35 | (1462) multiplication(all_920_0_978, zero) = all_110_1_101
% 222.35/175.35 | (1463) multiplication(all_110_2_102, all_0_2_2) = all_920_0_978
% 222.35/175.35 |
% 222.35/175.35 | Instantiating (632) with all_922_0_979 yields:
% 222.35/175.35 | (1464) multiplication(all_922_0_979, all_20_0_17) = all_110_1_101 & multiplication(all_110_2_102, one) = all_922_0_979
% 222.35/175.35 |
% 222.35/175.35 | Applying alpha-rule on (1464) yields:
% 222.35/175.35 | (1465) multiplication(all_922_0_979, all_20_0_17) = all_110_1_101
% 222.35/175.35 | (1466) multiplication(all_110_2_102, one) = all_922_0_979
% 222.35/175.35 |
% 222.35/175.35 | Instantiating (714) with all_929_0_985, all_929_1_986, all_929_2_987 yields:
% 222.35/175.35 | (1467) (all_929_0_985 = 0 & strong_iteration(one) = all_929_2_987 & leq(all_49_1_36, all_929_1_986) = 0 & multiplication(all_929_2_987, all_0_2_2) = all_929_1_986) | ( ~ (all_929_2_987 = 0) & leq(all_49_1_36, all_0_2_2) = all_929_2_987)
% 222.35/175.35 |
% 222.35/175.35 | Instantiating (630) with all_932_0_989, all_932_1_990 yields:
% 222.35/175.35 | (1468) multiplication(all_110_2_102, all_20_0_17) = all_932_1_990 & multiplication(all_110_2_102, one) = all_932_0_989 & addition(all_932_1_990, all_932_0_989) = all_129_1_128
% 222.35/175.35 |
% 222.35/175.35 | Applying alpha-rule on (1468) yields:
% 222.35/175.35 | (1469) multiplication(all_110_2_102, all_20_0_17) = all_932_1_990
% 222.35/175.35 | (1470) multiplication(all_110_2_102, one) = all_932_0_989
% 222.35/175.35 | (1471) addition(all_932_1_990, all_932_0_989) = all_129_1_128
% 222.35/175.35 |
% 222.35/175.35 | Instantiating (715) with all_934_0_991 yields:
% 222.35/175.35 | (1472) addition(all_934_0_991, all_0_2_2) = all_26_0_19 & addition(all_0_1_1, all_49_1_36) = all_934_0_991
% 222.35/175.35 |
% 222.35/175.35 | Applying alpha-rule on (1472) yields:
% 222.35/175.35 | (1473) addition(all_934_0_991, all_0_2_2) = all_26_0_19
% 222.35/175.35 | (1474) addition(all_0_1_1, all_49_1_36) = all_934_0_991
% 222.35/175.35 |
% 222.35/175.35 | Instantiating (767) with all_938_0_993, all_938_1_994 yields:
% 222.35/175.35 | (1475) multiplication(all_49_1_36, zero) = all_938_0_993 & multiplication(all_20_0_17, zero) = all_938_1_994 & addition(all_938_1_994, all_938_0_993) = all_20_0_17
% 222.35/175.35 |
% 222.35/175.35 | Applying alpha-rule on (1475) yields:
% 222.35/175.35 | (1476) multiplication(all_49_1_36, zero) = all_938_0_993
% 222.35/175.35 | (1477) multiplication(all_20_0_17, zero) = all_938_1_994
% 222.35/175.35 | (1478) addition(all_938_1_994, all_938_0_993) = all_20_0_17
% 222.35/175.35 |
% 222.35/175.35 | Instantiating (822) with all_942_0_1001, all_942_1_1002, all_942_2_1003 yields:
% 222.35/175.35 | (1479) (all_942_0_1001 = 0 & strong_iteration(one) = all_942_2_1003 & leq(all_20_1_18, all_942_1_1002) = 0 & multiplication(all_942_2_1003, all_0_1_1) = all_942_1_1002) | ( ~ (all_942_2_1003 = 0) & leq(all_20_1_18, all_44_0_29) = all_942_2_1003)
% 222.35/175.35 |
% 222.35/175.35 | Instantiating (806) with all_947_0_1016 yields:
% 222.35/175.35 | (1480) multiplication(all_20_1_18, all_947_0_1016) = all_85_0_61 & addition(one, zero) = all_947_0_1016
% 222.35/175.35 |
% 222.35/175.35 | Applying alpha-rule on (1480) yields:
% 222.35/175.35 | (1481) multiplication(all_20_1_18, all_947_0_1016) = all_85_0_61
% 222.35/175.35 | (1482) addition(one, zero) = all_947_0_1016
% 222.35/175.36 |
% 222.35/175.36 | Instantiating (805) with all_949_0_1017, all_949_1_1018, all_949_2_1019 yields:
% 222.35/175.36 | (1483) (all_949_0_1017 = 0 & leq(all_949_1_1018, one) = 0 & star(all_20_1_18) = all_949_2_1019 & multiplication(all_949_2_1019, all_49_1_36) = all_949_1_1018) | ( ~ (all_949_2_1019 = 0) & leq(all_85_0_61, one) = all_949_2_1019)
% 222.35/175.36 |
% 222.35/175.36 | Instantiating (804) with all_950_0_1020, all_950_1_1021, all_950_2_1022 yields:
% 222.35/175.36 | (1484) (all_950_0_1020 = 0 & strong_iteration(all_20_1_18) = all_950_2_1022 & leq(one, all_950_1_1021) = 0 & multiplication(all_950_2_1022, all_49_1_36) = all_950_1_1021) | ( ~ (all_950_2_1022 = 0) & leq(one, all_85_0_61) = all_950_2_1022)
% 222.35/175.36 |
% 222.35/175.36 | Instantiating (807) with all_953_0_1024, all_953_1_1025, all_953_2_1026 yields:
% 222.35/175.36 | (1485) (all_953_0_1024 = 0 & leq(all_953_1_1025, one) = 0 & star(all_20_1_18) = all_953_2_1026 & multiplication(all_49_1_36, all_953_2_1026) = all_953_1_1025) | ( ~ (all_953_2_1026 = 0) & leq(all_85_0_61, one) = all_953_2_1026)
% 222.35/175.36 |
% 222.35/175.36 | Instantiating (867) with all_957_0_1031, all_957_1_1032 yields:
% 222.35/175.36 | (1486) multiplication(all_0_2_2, one) = all_957_1_1032 & multiplication(zero, one) = all_957_0_1031 & addition(all_957_1_1032, all_957_0_1031) = all_0_2_2
% 222.35/175.36 |
% 222.35/175.36 | Applying alpha-rule on (1486) yields:
% 222.35/175.36 | (1487) multiplication(all_0_2_2, one) = all_957_1_1032
% 222.35/175.36 | (1488) multiplication(zero, one) = all_957_0_1031
% 222.35/175.36 | (1489) addition(all_957_1_1032, all_957_0_1031) = all_0_2_2
% 222.35/175.36 |
% 222.35/175.36 | Instantiating (883) with all_963_0_1035 yields:
% 222.35/175.36 | (1490) addition(all_20_0_17, one) = all_963_0_1035 & addition(one, all_963_0_1035) = all_38_0_20
% 222.35/175.36 |
% 222.35/175.36 | Applying alpha-rule on (1490) yields:
% 222.35/175.36 | (1491) addition(all_20_0_17, one) = all_963_0_1035
% 222.35/175.36 | (1492) addition(one, all_963_0_1035) = all_38_0_20
% 222.35/175.36 |
% 222.35/175.36 | Instantiating (803) with all_965_0_1036, all_965_1_1037, all_965_2_1038 yields:
% 222.35/175.36 | (1493) (all_965_0_1036 = 0 & leq(all_965_1_1037, all_20_1_18) = 0 & star(one) = all_965_2_1038 & multiplication(all_49_1_36, all_965_2_1038) = all_965_1_1037) | ( ~ (all_965_2_1038 = 0) & leq(all_85_0_61, all_20_1_18) = all_965_2_1038)
% 222.35/175.36 |
% 222.35/175.36 | Instantiating (765) with all_978_0_1051, all_978_1_1052, all_978_2_1053 yields:
% 222.35/175.36 | (1494) (all_978_0_1051 = 0 & leq(all_978_1_1052, all_20_0_17) = 0 & star(one) = all_978_2_1053 & multiplication(all_49_1_36, all_978_2_1053) = all_978_1_1052) | ( ~ (all_978_2_1053 = 0) & leq(all_20_0_17, all_20_0_17) = all_978_2_1053)
% 222.35/175.36 |
% 222.35/175.36 | Instantiating (915) with all_985_0_1062 yields:
% 222.35/175.36 | (1495) multiplication(one, all_985_0_1062) = all_203_0_232 & addition(zero, one) = all_985_0_1062
% 222.35/175.36 |
% 222.35/175.36 | Applying alpha-rule on (1495) yields:
% 222.35/175.36 | (1496) multiplication(one, all_985_0_1062) = all_203_0_232
% 222.35/175.36 | (1497) addition(zero, one) = all_985_0_1062
% 222.35/175.36 |
% 222.35/175.36 | Instantiating (845) with all_987_0_1063 yields:
% 222.35/175.36 | (1498) addition(all_85_0_61, all_987_0_1063) = all_26_0_19 & addition(all_20_0_17, all_162_0_173) = all_987_0_1063
% 222.35/175.36 |
% 222.35/175.36 | Applying alpha-rule on (1498) yields:
% 222.35/175.36 | (1499) addition(all_85_0_61, all_987_0_1063) = all_26_0_19
% 222.35/175.36 | (1500) addition(all_20_0_17, all_162_0_173) = all_987_0_1063
% 222.35/175.36 |
% 222.35/175.36 | Instantiating (844) with all_998_0_1071, all_998_1_1072, all_998_2_1073 yields:
% 222.35/175.36 | (1501) (all_998_0_1071 = 0 & strong_iteration(one) = all_998_2_1073 & leq(all_0_2_2, all_998_1_1072) = 0 & multiplication(all_998_2_1073, all_162_0_173) = all_998_1_1072) | ( ~ (all_998_2_1073 = 0) & leq(all_0_2_2, all_26_0_19) = all_998_2_1073)
% 222.35/175.36 |
% 222.35/175.36 | Instantiating (766) with all_1000_0_1077, all_1000_1_1078, all_1000_2_1079 yields:
% 222.35/175.36 | (1502) (all_1000_0_1077 = 0 & leq(all_1000_1_1078, all_20_0_17) = 0 & star(zero) = all_1000_2_1079 & multiplication(all_49_1_36, all_1000_2_1079) = all_1000_1_1078) | ( ~ (all_1000_2_1079 = 0) & leq(all_20_0_17, all_20_0_17) = all_1000_2_1079)
% 222.35/175.36 |
% 222.35/175.36 | Instantiating (837) with all_1001_0_1080 yields:
% 222.35/175.36 | (1503) addition(all_20_1_18, all_1001_0_1080) = all_44_0_29 & addition(one, all_0_1_1) = all_1001_0_1080
% 222.35/175.36 |
% 222.35/175.36 | Applying alpha-rule on (1503) yields:
% 222.35/175.36 | (1504) addition(all_20_1_18, all_1001_0_1080) = all_44_0_29
% 222.35/175.36 | (1505) addition(one, all_0_1_1) = all_1001_0_1080
% 222.35/175.36 |
% 222.35/175.36 | Instantiating (836) with all_1003_0_1081 yields:
% 222.35/175.36 | (1506) addition(all_20_1_18, all_1003_0_1081) = all_85_0_61 & addition(one, all_49_1_36) = all_1003_0_1081
% 222.35/175.36 |
% 222.35/175.36 | Applying alpha-rule on (1506) yields:
% 222.35/175.36 | (1507) addition(all_20_1_18, all_1003_0_1081) = all_85_0_61
% 222.35/175.36 | (1508) addition(one, all_49_1_36) = all_1003_0_1081
% 222.35/175.36 |
% 222.35/175.36 | Instantiating (835) with all_1015_0_1087, all_1015_1_1088 yields:
% 222.35/175.36 | (1509) multiplication(all_0_2_2, all_20_1_18) = all_1015_1_1088 & multiplication(all_0_2_2, one) = all_1015_0_1087 & addition(all_1015_1_1088, all_1015_0_1087) = all_131_1_134
% 222.35/175.36 |
% 222.35/175.36 | Applying alpha-rule on (1509) yields:
% 222.35/175.36 | (1510) multiplication(all_0_2_2, all_20_1_18) = all_1015_1_1088
% 222.35/175.36 | (1511) multiplication(all_0_2_2, one) = all_1015_0_1087
% 222.35/175.36 | (1512) addition(all_1015_1_1088, all_1015_0_1087) = all_131_1_134
% 222.35/175.36 |
% 222.35/175.36 | Instantiating (826) with all_1018_0_1092, all_1018_1_1093, all_1018_2_1094 yields:
% 222.35/175.36 | (1513) (all_1018_0_1092 = 0 & leq(all_1018_1_1093, all_20_1_18) = 0 & star(one) = all_1018_2_1094 & multiplication(one, all_1018_2_1094) = all_1018_1_1093) | ( ~ (all_1018_2_1094 = 0) & leq(all_20_1_18, all_20_1_18) = all_1018_2_1094)
% 222.35/175.36 |
% 222.35/175.36 | Instantiating (825) with all_1019_0_1095 yields:
% 222.35/175.36 | (1514) addition(all_20_1_18, all_1019_0_1095) = all_44_0_29 & addition(all_20_1_18, all_0_1_1) = all_1019_0_1095
% 222.35/175.36 |
% 222.35/175.36 | Applying alpha-rule on (1514) yields:
% 222.35/175.36 | (1515) addition(all_20_1_18, all_1019_0_1095) = all_44_0_29
% 222.35/175.36 | (1516) addition(all_20_1_18, all_0_1_1) = all_1019_0_1095
% 222.35/175.36 |
% 222.35/175.36 | Instantiating (820) with all_1021_0_1096 yields:
% 222.35/175.36 | (1517) addition(all_20_1_18, all_1021_0_1096) = all_85_0_61 & addition(all_20_1_18, all_49_1_36) = all_1021_0_1096
% 222.35/175.36 |
% 222.35/175.36 | Applying alpha-rule on (1517) yields:
% 222.35/175.36 | (1518) addition(all_20_1_18, all_1021_0_1096) = all_85_0_61
% 222.35/175.36 | (1519) addition(all_20_1_18, all_49_1_36) = all_1021_0_1096
% 222.35/175.36 |
% 222.35/175.36 | Instantiating (824) with all_1023_0_1097 yields:
% 222.35/175.36 | (1520) addition(all_20_1_18, all_1023_0_1097) = all_135_0_141 & addition(all_0_1_1, all_49_1_36) = all_1023_0_1097
% 222.35/175.36 |
% 222.35/175.36 | Applying alpha-rule on (1520) yields:
% 222.35/175.36 | (1521) addition(all_20_1_18, all_1023_0_1097) = all_135_0_141
% 222.35/175.36 | (1522) addition(all_0_1_1, all_49_1_36) = all_1023_0_1097
% 222.35/175.36 |
% 222.35/175.36 | Instantiating (797) with all_1027_0_1099 yields:
% 222.35/175.36 | (1523) addition(all_20_0_17, all_1027_0_1099) = all_155_0_166 & addition(all_20_0_17, all_0_1_1) = all_1027_0_1099
% 222.35/175.36 |
% 222.35/175.36 | Applying alpha-rule on (1523) yields:
% 222.35/175.36 | (1524) addition(all_20_0_17, all_1027_0_1099) = all_155_0_166
% 222.35/175.36 | (1525) addition(all_20_0_17, all_0_1_1) = all_1027_0_1099
% 222.35/175.36 |
% 222.35/175.36 | Instantiating (796) with all_1029_0_1100 yields:
% 222.35/175.36 | (1526) addition(all_49_1_36, all_0_1_1) = all_1029_0_1100 & addition(all_20_0_17, all_1029_0_1100) = all_155_0_166
% 222.35/175.36 |
% 222.35/175.36 | Applying alpha-rule on (1526) yields:
% 222.35/175.36 | (1527) addition(all_49_1_36, all_0_1_1) = all_1029_0_1100
% 222.35/175.36 | (1528) addition(all_20_0_17, all_1029_0_1100) = all_155_0_166
% 222.35/175.36 |
% 222.35/175.36 | Instantiating (823) with all_1031_0_1101 yields:
% 222.35/175.36 | (1529) addition(all_20_1_18, all_0_1_1) = all_1031_0_1101 & addition(one, all_1031_0_1101) = all_44_0_29
% 222.35/175.36 |
% 222.35/175.36 | Applying alpha-rule on (1529) yields:
% 222.35/175.36 | (1530) addition(all_20_1_18, all_0_1_1) = all_1031_0_1101
% 222.35/175.36 | (1531) addition(one, all_1031_0_1101) = all_44_0_29
% 222.35/175.36 |
% 222.35/175.36 | Instantiating (703) with all_1045_0_1108, all_1045_1_1109 yields:
% 222.35/175.36 | (1532) multiplication(all_110_2_102, all_49_1_36) = all_1045_1_1109 & multiplication(all_110_2_102, all_20_0_17) = all_1045_0_1108 & addition(all_1045_1_1109, all_1045_0_1108) = all_110_1_101
% 222.35/175.36 |
% 222.35/175.36 | Applying alpha-rule on (1532) yields:
% 222.35/175.36 | (1533) multiplication(all_110_2_102, all_49_1_36) = all_1045_1_1109
% 222.35/175.36 | (1534) multiplication(all_110_2_102, all_20_0_17) = all_1045_0_1108
% 222.35/175.36 | (1535) addition(all_1045_1_1109, all_1045_0_1108) = all_110_1_101
% 222.35/175.36 |
% 222.35/175.36 | Instantiating (784) with all_1049_0_1111 yields:
% 222.35/175.36 | (1536) multiplication(all_20_0_17, all_1049_0_1111) = all_20_0_17 & addition(one, zero) = all_1049_0_1111
% 222.35/175.36 |
% 222.35/175.36 | Applying alpha-rule on (1536) yields:
% 222.35/175.36 | (1537) multiplication(all_20_0_17, all_1049_0_1111) = all_20_0_17
% 222.35/175.36 | (1538) addition(one, zero) = all_1049_0_1111
% 222.35/175.36 |
% 222.35/175.36 | Instantiating (781) with all_1055_0_1119 yields:
% 222.35/175.36 | (1539) multiplication(all_20_0_17, all_1055_0_1119) = all_20_0_17 & addition(zero, one) = all_1055_0_1119
% 222.35/175.36 |
% 222.35/175.36 | Applying alpha-rule on (1539) yields:
% 222.35/175.36 | (1540) multiplication(all_20_0_17, all_1055_0_1119) = all_20_0_17
% 222.35/175.36 | (1541) addition(zero, one) = all_1055_0_1119
% 222.35/175.36 |
% 222.35/175.36 | Instantiating (782) with all_1058_0_1123, all_1058_1_1124, all_1058_2_1125 yields:
% 222.35/175.36 | (1542) (all_1058_0_1123 = 0 & leq(all_1058_1_1124, all_20_0_17) = 0 & star(zero) = all_1058_2_1125 & multiplication(all_20_0_17, all_1058_2_1125) = all_1058_1_1124) | ( ~ (all_1058_2_1125 = 0) & leq(all_20_0_17, all_20_0_17) = all_1058_2_1125)
% 222.35/175.36 |
% 222.35/175.36 | Instantiating (774) with all_1065_0_1129 yields:
% 222.35/175.36 | (1543) addition(all_195_1_228, all_1065_0_1129) = all_26_0_19 & addition(all_20_0_17, all_44_0_29) = all_1065_0_1129
% 222.35/175.36 |
% 222.35/175.36 | Applying alpha-rule on (1543) yields:
% 222.35/175.36 | (1544) addition(all_195_1_228, all_1065_0_1129) = all_26_0_19
% 222.35/175.36 | (1545) addition(all_20_0_17, all_44_0_29) = all_1065_0_1129
% 222.35/175.36 |
% 222.35/175.36 | Instantiating (773) with all_1067_0_1130 yields:
% 222.35/175.36 | (1546) addition(all_1067_0_1130, all_20_1_18) = all_26_0_19 & addition(all_20_0_17, all_0_1_1) = all_1067_0_1130
% 222.35/175.36 |
% 222.35/175.36 | Applying alpha-rule on (1546) yields:
% 222.35/175.36 | (1547) addition(all_1067_0_1130, all_20_1_18) = all_26_0_19
% 222.35/175.36 | (1548) addition(all_20_0_17, all_0_1_1) = all_1067_0_1130
% 222.35/175.36 |
% 222.35/175.36 | Instantiating (776) with all_1075_0_1144, all_1075_1_1145, all_1075_2_1146 yields:
% 222.35/175.36 | (1549) (all_1075_0_1144 = 0 & leq(all_1075_1_1145, all_0_2_2) = 0 & star(zero) = all_1075_2_1146 & multiplication(all_20_0_17, all_1075_2_1146) = all_1075_1_1145) | ( ~ (all_1075_2_1146 = 0) & leq(all_20_0_17, all_0_2_2) = all_1075_2_1146)
% 222.60/175.36 |
% 222.60/175.36 | Instantiating (783) with all_1076_0_1147 yields:
% 222.60/175.36 | (1550) multiplication(all_1076_0_1147, zero) = all_20_0_17 & addition(all_0_2_2, all_20_0_17) = all_1076_0_1147
% 222.60/175.36 |
% 222.60/175.36 | Applying alpha-rule on (1550) yields:
% 222.60/175.36 | (1551) multiplication(all_1076_0_1147, zero) = all_20_0_17
% 222.60/175.36 | (1552) addition(all_0_2_2, all_20_0_17) = all_1076_0_1147
% 222.60/175.36 |
% 222.60/175.37 | Instantiating (779) with all_1079_0_1151, all_1079_1_1152 yields:
% 222.60/175.37 | (1553) multiplication(all_110_2_102, all_20_0_17) = all_1079_0_1151 & multiplication(all_110_2_102, all_20_0_17) = all_1079_1_1152 & addition(all_1079_1_1152, all_1079_0_1151) = all_110_1_101
% 222.60/175.37 |
% 222.60/175.37 | Applying alpha-rule on (1553) yields:
% 222.60/175.37 | (1554) multiplication(all_110_2_102, all_20_0_17) = all_1079_0_1151
% 222.60/175.37 | (1555) multiplication(all_110_2_102, all_20_0_17) = all_1079_1_1152
% 222.60/175.37 | (1556) addition(all_1079_1_1152, all_1079_0_1151) = all_110_1_101
% 222.60/175.37 |
% 222.60/175.37 | Instantiating (778) with all_1087_0_1156, all_1087_1_1157, all_1087_2_1158 yields:
% 222.60/175.37 | (1557) (all_1087_0_1156 = 0 & leq(all_1087_1_1157, all_20_0_17) = 0 & star(one) = all_1087_2_1158 & multiplication(all_1087_2_1158, all_20_0_17) = all_1087_1_1157) | ( ~ (all_1087_2_1158 = 0) & leq(all_20_0_17, all_20_0_17) = all_1087_2_1158)
% 222.60/175.37 |
% 222.60/175.37 | Instantiating (780) with all_1088_0_1159, all_1088_1_1160, all_1088_2_1161 yields:
% 222.60/175.37 | (1558) (all_1088_0_1159 = 0 & leq(all_1088_1_1160, all_20_0_17) = 0 & star(one) = all_1088_2_1161 & multiplication(all_20_0_17, all_1088_2_1161) = all_1088_1_1160) | ( ~ (all_1088_2_1161 = 0) & leq(all_20_0_17, all_20_0_17) = all_1088_2_1161)
% 222.60/175.37 |
% 222.60/175.37 | Instantiating (775) with all_1089_0_1162 yields:
% 222.60/175.37 | (1559) addition(all_49_1_36, all_1089_0_1162) = all_26_0_19 & addition(all_20_0_17, all_44_0_29) = all_1089_0_1162
% 222.60/175.37 |
% 222.60/175.37 | Applying alpha-rule on (1559) yields:
% 222.60/175.37 | (1560) addition(all_49_1_36, all_1089_0_1162) = all_26_0_19
% 222.60/175.37 | (1561) addition(all_20_0_17, all_44_0_29) = all_1089_0_1162
% 222.60/175.37 |
% 222.60/175.37 | Instantiating (777) with all_1091_0_1163, all_1091_1_1164, all_1091_2_1165 yields:
% 222.60/175.37 | (1562) (all_1091_0_1163 = 0 & strong_iteration(one) = all_1091_2_1165 & leq(all_20_0_17, all_1091_1_1164) = 0 & multiplication(all_1091_2_1165, all_20_0_17) = all_1091_1_1164) | ( ~ (all_1091_2_1165 = 0) & leq(all_20_0_17, all_20_0_17) = all_1091_2_1165)
% 222.60/175.37 |
% 222.60/175.37 | Instantiating (772) with all_1099_0_1182 yields:
% 222.60/175.37 | (1563) addition(all_44_0_29, one) = all_1099_0_1182 & addition(all_20_0_17, all_1099_0_1182) = all_26_0_19
% 222.60/175.37 |
% 222.60/175.37 | Applying alpha-rule on (1563) yields:
% 222.60/175.37 | (1564) addition(all_44_0_29, one) = all_1099_0_1182
% 222.60/175.37 | (1565) addition(all_20_0_17, all_1099_0_1182) = all_26_0_19
% 222.60/175.37 |
% 222.60/175.37 | Instantiating (697) with all_1101_0_1183, all_1101_1_1184, all_1101_2_1185 yields:
% 222.60/175.37 | (1566) (all_1101_0_1183 = 0 & strong_iteration(one) = all_1101_2_1185 & leq(all_49_1_36, all_1101_1_1184) = 0 & multiplication(all_1101_2_1185, all_178_0_198) = all_1101_1_1184) | ( ~ (all_1101_2_1185 = 0) & leq(all_49_1_36, all_20_0_17) = all_1101_2_1185)
% 222.60/175.37 |
% 222.60/175.37 | Instantiating (834) with all_1118_0_1211, all_1118_1_1212 yields:
% 222.60/175.37 | (1567) multiplication(all_20_1_18, all_20_1_18) = all_1118_1_1212 & multiplication(all_20_1_18, one) = all_1118_0_1211 & addition(all_1118_1_1212, all_1118_0_1211) = all_130_1_131
% 222.60/175.37 |
% 222.60/175.37 | Applying alpha-rule on (1567) yields:
% 222.60/175.37 | (1568) multiplication(all_20_1_18, all_20_1_18) = all_1118_1_1212
% 222.60/175.37 | (1569) multiplication(all_20_1_18, one) = all_1118_0_1211
% 222.60/175.37 | (1570) addition(all_1118_1_1212, all_1118_0_1211) = all_130_1_131
% 222.60/175.37 |
% 222.60/175.37 | Instantiating (833) with all_1120_0_1213, all_1120_1_1214 yields:
% 222.60/175.37 | (1571) multiplication(all_20_1_18, all_20_1_18) = all_1120_1_1214 & multiplication(one, all_20_1_18) = all_1120_0_1213 & addition(all_1120_1_1214, all_1120_0_1213) = all_130_1_131
% 222.60/175.37 |
% 222.60/175.37 | Applying alpha-rule on (1571) yields:
% 222.60/175.37 | (1572) multiplication(all_20_1_18, all_20_1_18) = all_1120_1_1214
% 222.60/175.37 | (1573) multiplication(one, all_20_1_18) = all_1120_0_1213
% 222.60/175.37 | (1574) addition(all_1120_1_1214, all_1120_0_1213) = all_130_1_131
% 222.60/175.37 |
% 222.60/175.37 | Instantiating (888) with all_1126_0_1217, all_1126_1_1218, all_1126_2_1219 yields:
% 222.60/175.37 | (1575) (all_1126_0_1217 = 0 & leq(all_1126_1_1218, one) = 0 & star(zero) = all_1126_2_1219 & multiplication(all_49_1_36, all_1126_2_1219) = all_1126_1_1218) | ( ~ (all_1126_2_1219 = 0) & leq(all_49_1_36, one) = all_1126_2_1219)
% 222.60/175.37 |
% 222.60/175.37 | Instantiating (887) with all_1127_0_1220 yields:
% 222.60/175.37 | (1576) multiplication(all_1127_0_1220, zero) = all_49_1_36 & addition(zero, all_20_1_18) = all_1127_0_1220
% 222.60/175.37 |
% 222.60/175.37 | Applying alpha-rule on (1576) yields:
% 222.60/175.37 | (1577) multiplication(all_1127_0_1220, zero) = all_49_1_36
% 222.60/175.37 | (1578) addition(zero, all_20_1_18) = all_1127_0_1220
% 222.60/175.37 |
% 222.60/175.37 | Instantiating (830) with all_1129_0_1221, all_1129_1_1222, all_1129_2_1223 yields:
% 222.60/175.37 | (1579) (all_1129_0_1221 = 0 & leq(all_1129_1_1222, one) = 0 & star(all_20_1_18) = all_1129_2_1223 & multiplication(one, all_1129_2_1223) = all_1129_1_1222) | ( ~ (all_1129_2_1223 = 0) & leq(all_20_1_18, one) = all_1129_2_1223)
% 222.60/175.37 |
% 222.60/175.37 | Instantiating (828) with all_1130_0_1224, all_1130_1_1225, all_1130_2_1226 yields:
% 222.60/175.37 | (1580) (all_1130_0_1224 = 0 & leq(all_1130_1_1225, one) = 0 & star(all_20_1_18) = all_1130_2_1226 & multiplication(all_1130_2_1226, one) = all_1130_1_1225) | ( ~ (all_1130_2_1226 = 0) & leq(all_20_1_18, one) = all_1130_2_1226)
% 222.60/175.37 |
% 222.60/175.37 | Instantiating (827) with all_1131_0_1227, all_1131_1_1228, all_1131_2_1229 yields:
% 222.60/175.37 | (1581) (all_1131_0_1227 = 0 & strong_iteration(all_20_1_18) = all_1131_2_1229 & leq(one, all_1131_1_1228) = 0 & multiplication(all_1131_2_1229, one) = all_1131_1_1228) | ( ~ (all_1131_2_1229 = 0) & leq(one, all_20_1_18) = all_1131_2_1229)
% 222.60/175.37 |
% 222.60/175.37 | Instantiating (829) with all_1132_0_1230, all_1132_1_1231 yields:
% 222.60/175.37 | (1582) multiplication(all_20_1_18, zero) = all_1132_1_1231 & multiplication(one, zero) = all_1132_0_1230 & addition(all_1132_1_1231, all_1132_0_1230) = all_49_1_36
% 222.60/175.37 |
% 222.60/175.37 | Applying alpha-rule on (1582) yields:
% 222.60/175.37 | (1583) multiplication(all_20_1_18, zero) = all_1132_1_1231
% 222.60/175.37 | (1584) multiplication(one, zero) = all_1132_0_1230
% 222.60/175.37 | (1585) addition(all_1132_1_1231, all_1132_0_1230) = all_49_1_36
% 222.60/175.37 |
% 222.60/175.37 | Instantiating (832) with all_1134_0_1232, all_1134_1_1233, all_1134_2_1234 yields:
% 222.60/175.37 | (1586) (all_1134_0_1232 = 0 & leq(all_1134_1_1233, all_20_1_18) = 0 & star(one) = all_1134_2_1234 & multiplication(all_1134_2_1234, one) = all_1134_1_1233) | ( ~ (all_1134_2_1234 = 0) & leq(all_20_1_18, all_20_1_18) = all_1134_2_1234)
% 222.60/175.37 |
% 222.60/175.37 | Instantiating (831) with all_1135_0_1235, all_1135_1_1236, all_1135_2_1237 yields:
% 222.60/175.37 | (1587) (all_1135_0_1235 = 0 & strong_iteration(one) = all_1135_2_1237 & leq(all_20_1_18, all_1135_1_1236) = 0 & multiplication(all_1135_2_1237, one) = all_1135_1_1236) | ( ~ (all_1135_2_1237 = 0) & leq(all_20_1_18, all_20_1_18) = all_1135_2_1237)
% 222.60/175.37 |
% 222.60/175.37 | Instantiating (930) with all_1137_0_1241 yields:
% 222.60/175.37 | (1588) addition(zero, all_1137_0_1241) = all_203_0_232 & addition(zero, one) = all_1137_0_1241
% 222.60/175.37 |
% 222.60/175.37 | Applying alpha-rule on (1588) yields:
% 222.60/175.37 | (1589) addition(zero, all_1137_0_1241) = all_203_0_232
% 222.60/175.37 | (1590) addition(zero, one) = all_1137_0_1241
% 222.60/175.37 |
% 222.60/175.37 | Instantiating (929) with all_1139_0_1242 yields:
% 222.60/175.37 | (1591) addition(zero, all_1139_0_1242) = all_205_0_233 & addition(zero, all_20_1_18) = all_1139_0_1242
% 222.60/175.37 |
% 222.60/175.37 | Applying alpha-rule on (1591) yields:
% 222.60/175.37 | (1592) addition(zero, all_1139_0_1242) = all_205_0_233
% 222.60/175.37 | (1593) addition(zero, all_20_1_18) = all_1139_0_1242
% 222.60/175.37 |
% 222.60/175.37 | Instantiating (928) with all_1143_0_1244, all_1143_1_1245, all_1143_2_1246 yields:
% 222.60/175.37 | (1594) (all_1143_0_1244 = 0 & leq(all_1143_1_1245, zero) = 0 & star(zero) = all_1143_2_1246 & multiplication(all_1143_2_1246, zero) = all_1143_1_1245) | ( ~ (all_1143_2_1246 = 0) & leq(zero, zero) = all_1143_2_1246)
% 222.60/175.37 |
% 222.60/175.37 | Instantiating (866) with all_1144_0_1247, all_1144_1_1248, all_1144_2_1249 yields:
% 222.60/175.37 | (1595) (all_1144_0_1247 = 0 & leq(all_1144_1_1248, all_0_2_2) = 0 & star(one) = all_1144_2_1249 & multiplication(zero, all_1144_2_1249) = all_1144_1_1248) | ( ~ (all_1144_2_1249 = 0) & leq(all_0_2_2, all_0_2_2) = all_1144_2_1249)
% 222.60/175.37 |
% 222.60/175.37 | Instantiating (864) with all_1145_0_1250, all_1145_1_1251 yields:
% 222.60/175.37 | (1596) multiplication(all_0_2_2, all_0_2_2) = all_1145_1_1251 & multiplication(zero, all_0_2_2) = all_1145_0_1250 & addition(all_1145_1_1251, all_1145_0_1250) = all_127_1_122
% 222.60/175.37 |
% 222.60/175.37 | Applying alpha-rule on (1596) yields:
% 222.60/175.37 | (1597) multiplication(all_0_2_2, all_0_2_2) = all_1145_1_1251
% 222.60/175.37 | (1598) multiplication(zero, all_0_2_2) = all_1145_0_1250
% 222.60/175.37 | (1599) addition(all_1145_1_1251, all_1145_0_1250) = all_127_1_122
% 222.60/175.37 |
% 222.60/175.37 | Instantiating (863) with all_1147_0_1252, all_1147_1_1253 yields:
% 222.60/175.37 | (1600) multiplication(all_0_2_2, all_20_1_18) = all_1147_1_1253 & multiplication(zero, all_20_1_18) = all_1147_0_1252 & addition(all_1147_1_1253, all_1147_0_1252) = all_131_1_134
% 222.60/175.37 |
% 222.60/175.37 | Applying alpha-rule on (1600) yields:
% 222.60/175.37 | (1601) multiplication(all_0_2_2, all_20_1_18) = all_1147_1_1253
% 222.60/175.37 | (1602) multiplication(zero, all_20_1_18) = all_1147_0_1252
% 222.60/175.37 | (1603) addition(all_1147_1_1253, all_1147_0_1252) = all_131_1_134
% 222.60/175.37 |
% 222.60/175.37 | Instantiating (865) with all_1165_0_1262, all_1165_1_1263 yields:
% 222.60/175.37 | (1604) multiplication(all_0_2_2, all_0_2_2) = all_1165_1_1263 & multiplication(all_0_2_2, zero) = all_1165_0_1262 & addition(all_1165_1_1263, all_1165_0_1262) = all_127_1_122
% 222.60/175.37 |
% 222.60/175.37 | Applying alpha-rule on (1604) yields:
% 222.60/175.37 | (1605) multiplication(all_0_2_2, all_0_2_2) = all_1165_1_1263
% 222.60/175.37 | (1606) multiplication(all_0_2_2, zero) = all_1165_0_1262
% 222.60/175.37 | (1607) addition(all_1165_1_1263, all_1165_0_1262) = all_127_1_122
% 222.60/175.37 |
% 222.60/175.37 | Instantiating (918) with all_1168_0_1267, all_1168_1_1268, all_1168_2_1269 yields:
% 222.60/175.37 | (1608) (all_1168_0_1267 = 0 & strong_iteration(zero) = all_1168_2_1269 & leq(zero, all_1168_1_1268) = 0 & multiplication(all_1168_2_1269, one) = all_1168_1_1268) | ( ~ (all_1168_2_1269 = 0) & leq(zero, all_203_0_232) = all_1168_2_1269)
% 222.60/175.37 |
% 222.60/175.37 | Instantiating (917) with all_1171_0_1276, all_1171_1_1277, all_1171_2_1278 yields:
% 222.60/175.37 | (1609) (all_1171_0_1276 = 0 & strong_iteration(one) = all_1171_2_1278 & leq(zero, all_1171_1_1277) = 0 & multiplication(all_1171_2_1278, one) = all_1171_1_1277) | ( ~ (all_1171_2_1278 = 0) & leq(zero, all_203_0_232) = all_1171_2_1278)
% 222.60/175.37 |
% 222.60/175.37 | Instantiating (791) with all_1174_0_1285, all_1174_1_1286, all_1174_2_1287 yields:
% 222.60/175.37 | (1610) (all_1174_0_1285 = 0 & strong_iteration(one) = all_1174_2_1287 & leq(all_20_0_17, all_1174_1_1286) = 0 & multiplication(all_1174_2_1287, all_0_1_1) = all_1174_1_1286) | ( ~ (all_1174_2_1287 = 0) & leq(all_20_0_17, all_155_0_166) = all_1174_2_1287)
% 222.60/175.37 |
% 222.60/175.37 | Instantiating (647) with all_1175_0_1288, all_1175_1_1289, all_1175_2_1290 yields:
% 222.60/175.37 | (1611) (all_1175_0_1288 = 0 & leq(all_1175_1_1289, all_20_0_17) = 0 & star(zero) = all_1175_2_1290 & multiplication(one, all_1175_2_1290) = all_1175_1_1289) | ( ~ (all_1175_2_1290 = 0) & leq(all_38_0_20, all_20_0_17) = all_1175_2_1290)
% 222.60/175.37 |
% 222.60/175.37 | Instantiating (855) with all_1181_0_1296, all_1181_1_1297 yields:
% 222.60/175.37 | (1612) multiplication(all_0_2_2, all_20_1_18) = all_1181_0_1296 & multiplication(all_0_2_2, all_20_1_18) = all_1181_1_1297 & addition(all_1181_1_1297, all_1181_0_1296) = all_131_1_134
% 222.60/175.37 |
% 222.60/175.37 | Applying alpha-rule on (1612) yields:
% 222.60/175.37 | (1613) multiplication(all_0_2_2, all_20_1_18) = all_1181_0_1296
% 222.60/175.37 | (1614) multiplication(all_0_2_2, all_20_1_18) = all_1181_1_1297
% 222.60/175.37 | (1615) addition(all_1181_1_1297, all_1181_0_1296) = all_131_1_134
% 222.60/175.37 |
% 222.60/175.37 | Instantiating (818) with all_1183_0_1298, all_1183_1_1299 yields:
% 222.60/175.37 | (1616) multiplication(all_20_1_18, all_20_1_18) = all_1183_0_1298 & multiplication(all_20_1_18, all_20_1_18) = all_1183_1_1299 & addition(all_1183_1_1299, all_1183_0_1298) = all_130_1_131
% 222.60/175.37 |
% 222.60/175.37 | Applying alpha-rule on (1616) yields:
% 222.60/175.37 | (1617) multiplication(all_20_1_18, all_20_1_18) = all_1183_0_1298
% 222.60/175.37 | (1618) multiplication(all_20_1_18, all_20_1_18) = all_1183_1_1299
% 222.60/175.38 | (1619) addition(all_1183_1_1299, all_1183_0_1298) = all_130_1_131
% 222.60/175.38 |
% 222.60/175.38 | Instantiating (821) with all_1185_0_1300, all_1185_1_1301, all_1185_2_1302 yields:
% 222.60/175.38 | (1620) (all_1185_0_1300 = 0 & strong_iteration(all_20_1_18) = all_1185_2_1302 & leq(one, all_1185_1_1301) = 0 & multiplication(all_1185_2_1302, all_0_1_1) = all_1185_1_1301) | ( ~ (all_1185_2_1302 = 0) & leq(one, all_44_0_29) = all_1185_2_1302)
% 222.60/175.38 |
% 222.60/175.38 | Instantiating (815) with all_1186_0_1303, all_1186_1_1304, all_1186_2_1305 yields:
% 222.60/175.38 | (1621) (all_1186_0_1303 = 0 & leq(all_1186_1_1304, one) = 0 & star(all_20_1_18) = all_1186_2_1305 & multiplication(all_20_1_18, all_1186_2_1305) = all_1186_1_1304) | ( ~ (all_1186_2_1305 = 0) & leq(all_20_1_18, one) = all_1186_2_1305)
% 222.60/175.38 |
% 222.60/175.38 | Instantiating (921) with all_1187_0_1306, all_1187_1_1307 yields:
% 222.60/175.38 | (1622) multiplication(all_20_1_18, zero) = all_1187_0_1306 & multiplication(all_20_1_18, zero) = all_1187_1_1307 & addition(all_1187_1_1307, all_1187_0_1306) = all_49_1_36
% 222.60/175.38 |
% 222.60/175.38 | Applying alpha-rule on (1622) yields:
% 222.60/175.38 | (1623) multiplication(all_20_1_18, zero) = all_1187_0_1306
% 222.60/175.38 | (1624) multiplication(all_20_1_18, zero) = all_1187_1_1307
% 222.60/175.38 | (1625) addition(all_1187_1_1307, all_1187_0_1306) = all_49_1_36
% 222.60/175.38 |
% 222.60/175.38 | Instantiating (817) with all_1189_0_1308, all_1189_1_1309, all_1189_2_1310 yields:
% 222.60/175.38 | (1626) (all_1189_0_1308 = 0 & leq(all_1189_1_1309, all_20_1_18) = 0 & star(one) = all_1189_2_1310 & multiplication(all_1189_2_1310, all_20_1_18) = all_1189_1_1309) | ( ~ (all_1189_2_1310 = 0) & leq(all_20_1_18, all_20_1_18) = all_1189_2_1310)
% 222.60/175.38 |
% 222.60/175.38 | Instantiating (816) with all_1190_0_1311, all_1190_1_1312, all_1190_2_1313 yields:
% 222.60/175.38 | (1627) (all_1190_0_1311 = 0 & strong_iteration(one) = all_1190_2_1313 & leq(all_20_1_18, all_1190_1_1312) = 0 & multiplication(all_1190_2_1313, all_20_1_18) = all_1190_1_1312) | ( ~ (all_1190_2_1313 = 0) & leq(all_20_1_18, all_20_1_18) = all_1190_2_1313)
% 222.60/175.38 |
% 222.60/175.38 | Instantiating (819) with all_1193_0_1315 yields:
% 222.60/175.38 | (1628) addition(all_1193_0_1315, all_20_1_18) = all_0_2_2 & addition(all_20_0_17, all_20_1_18) = all_1193_0_1315
% 222.60/175.38 |
% 222.60/175.38 | Applying alpha-rule on (1628) yields:
% 222.60/175.38 | (1629) addition(all_1193_0_1315, all_20_1_18) = all_0_2_2
% 222.60/175.38 | (1630) addition(all_20_0_17, all_20_1_18) = all_1193_0_1315
% 222.60/175.38 |
% 222.60/175.38 | Instantiating (646) with all_1196_0_1319, all_1196_1_1320, all_1196_2_1321 yields:
% 222.60/175.38 | (1631) (all_1196_0_1319 = 0 & leq(all_1196_1_1320, all_20_0_17) = 0 & star(zero) = all_1196_2_1321 & multiplication(all_20_1_18, all_1196_2_1321) = all_1196_1_1320) | ( ~ (all_1196_2_1321 = 0) & leq(all_0_2_2, all_20_0_17) = all_1196_2_1321)
% 222.60/175.38 |
% 222.60/175.38 | Instantiating (848) with all_1198_0_1325 yields:
% 222.60/175.38 | (1632) addition(all_147_0_152, one) = all_1198_0_1325 & addition(all_0_2_2, all_1198_0_1325) = all_26_0_19
% 222.60/175.38 |
% 222.60/175.38 | Applying alpha-rule on (1632) yields:
% 222.60/175.38 | (1633) addition(all_147_0_152, one) = all_1198_0_1325
% 222.60/175.38 | (1634) addition(all_0_2_2, all_1198_0_1325) = all_26_0_19
% 222.60/175.38 |
% 222.60/175.38 | Instantiating (764) with all_1202_0_1332, all_1202_1_1333 yields:
% 222.60/175.38 | (1635) multiplication(all_110_2_102, all_49_1_36) = all_1202_0_1332 & multiplication(all_110_2_102, all_20_0_17) = all_1202_1_1333 & addition(all_1202_1_1333, all_1202_0_1332) = all_110_1_101
% 222.60/175.38 |
% 222.60/175.38 | Applying alpha-rule on (1635) yields:
% 222.60/175.38 | (1636) multiplication(all_110_2_102, all_49_1_36) = all_1202_0_1332
% 222.60/175.38 | (1637) multiplication(all_110_2_102, all_20_0_17) = all_1202_1_1333
% 222.60/175.38 | (1638) addition(all_1202_1_1333, all_1202_0_1332) = all_110_1_101
% 222.60/175.38 |
% 222.60/175.38 | Instantiating (763) with all_1204_0_1334, all_1204_1_1335, all_1204_2_1336 yields:
% 222.60/175.38 | (1639) (all_1204_0_1334 = 0 & leq(all_1204_1_1335, all_20_0_17) = 0 & star(one) = all_1204_2_1336 & multiplication(all_1204_2_1336, all_49_1_36) = all_1204_1_1335) | ( ~ (all_1204_2_1336 = 0) & leq(all_20_0_17, all_20_0_17) = all_1204_2_1336)
% 222.60/175.38 |
% 222.60/175.38 | Instantiating (762) with all_1205_0_1337, all_1205_1_1338, all_1205_2_1339 yields:
% 222.60/175.38 | (1640) (all_1205_0_1337 = 0 & strong_iteration(one) = all_1205_2_1339 & leq(all_20_0_17, all_1205_1_1338) = 0 & multiplication(all_1205_2_1339, all_49_1_36) = all_1205_1_1338) | ( ~ (all_1205_2_1339 = 0) & leq(all_20_0_17, all_20_0_17) = all_1205_2_1339)
% 222.60/175.38 |
% 222.60/175.38 | Instantiating (814) with all_1209_0_1349, all_1209_1_1350, all_1209_2_1351 yields:
% 222.60/175.38 | (1641) (all_1209_0_1349 = 0 & leq(all_1209_1_1350, one) = 0 & star(all_20_1_18) = all_1209_2_1351 & multiplication(all_1209_2_1351, all_20_1_18) = all_1209_1_1350) | ( ~ (all_1209_2_1351 = 0) & leq(all_20_1_18, one) = all_1209_2_1351)
% 222.60/175.38 |
% 222.60/175.38 | Instantiating (813) with all_1210_0_1352, all_1210_1_1353, all_1210_2_1354 yields:
% 222.60/175.38 | (1642) (all_1210_0_1352 = 0 & strong_iteration(all_20_1_18) = all_1210_2_1354 & leq(one, all_1210_1_1353) = 0 & multiplication(all_1210_2_1354, all_20_1_18) = all_1210_1_1353) | ( ~ (all_1210_2_1354 = 0) & leq(one, all_20_1_18) = all_1210_2_1354)
% 222.60/175.38 |
% 222.60/175.38 | Instantiating (858) with all_1211_0_1355 yields:
% 222.60/175.38 | (1643) addition(all_1211_0_1355, all_20_1_18) = all_0_2_2 & addition(all_0_2_2, all_20_0_17) = all_1211_0_1355
% 222.60/175.38 |
% 222.60/175.38 | Applying alpha-rule on (1643) yields:
% 222.60/175.38 | (1644) addition(all_1211_0_1355, all_20_1_18) = all_0_2_2
% 222.60/175.38 | (1645) addition(all_0_2_2, all_20_0_17) = all_1211_0_1355
% 222.60/175.38 |
% 222.60/175.38 | Instantiating (857) with all_1215_0_1357, all_1215_1_1358, all_1215_2_1359 yields:
% 222.60/175.38 | (1646) (all_1215_0_1357 = 0 & leq(all_1215_1_1358, all_0_2_2) = 0 & star(one) = all_1215_2_1359 & multiplication(all_0_2_2, all_1215_2_1359) = all_1215_1_1358) | ( ~ (all_1215_2_1359 = 0) & leq(all_0_2_2, all_0_2_2) = all_1215_2_1359)
% 222.60/175.38 |
% 222.60/175.38 | Instantiating (856) with all_1216_0_1360, all_1216_1_1361 yields:
% 222.60/175.38 | (1647) multiplication(all_0_2_2, all_0_2_2) = all_1216_0_1360 & multiplication(all_0_2_2, all_0_2_2) = all_1216_1_1361 & addition(all_1216_1_1361, all_1216_0_1360) = all_127_1_122
% 222.60/175.38 |
% 222.60/175.38 | Applying alpha-rule on (1647) yields:
% 222.60/175.38 | (1648) multiplication(all_0_2_2, all_0_2_2) = all_1216_0_1360
% 222.60/175.38 | (1649) multiplication(all_0_2_2, all_0_2_2) = all_1216_1_1361
% 222.60/175.38 | (1650) addition(all_1216_1_1361, all_1216_0_1360) = all_127_1_122
% 222.60/175.38 |
% 222.60/175.38 | Instantiating (854) with all_1218_0_1362, all_1218_1_1363, all_1218_2_1364 yields:
% 222.60/175.38 | (1651) (all_1218_0_1362 = 0 & leq(all_1218_1_1363, all_0_2_2) = 0 & star(one) = all_1218_2_1364 & multiplication(all_1218_2_1364, all_0_2_2) = all_1218_1_1363) | ( ~ (all_1218_2_1364 = 0) & leq(all_0_2_2, all_0_2_2) = all_1218_2_1364)
% 222.60/175.38 |
% 222.60/175.38 | Instantiating (853) with all_1219_0_1365, all_1219_1_1366, all_1219_2_1367 yields:
% 222.60/175.38 | (1652) (all_1219_0_1365 = 0 & strong_iteration(one) = all_1219_2_1367 & leq(all_0_2_2, all_1219_1_1366) = 0 & multiplication(all_1219_2_1367, all_0_2_2) = all_1219_1_1366) | ( ~ (all_1219_2_1367 = 0) & leq(all_0_2_2, all_0_2_2) = all_1219_2_1367)
% 222.60/175.38 |
% 222.60/175.38 +-Applying beta-rule and splitting (87), into two cases.
% 222.60/175.38 |-Branch one:
% 222.60/175.38 | (1653) all_41_0_24 = 0 & strong_iteration(one) = all_41_2_26 & leq(all_0_2_2, all_41_1_25) = 0 & multiplication(all_41_2_26, one) = all_41_1_25
% 222.60/175.38 |
% 222.60/175.38 | Applying alpha-rule on (1653) yields:
% 222.60/175.38 | (1654) all_41_0_24 = 0
% 222.60/175.38 | (1655) strong_iteration(one) = all_41_2_26
% 222.60/175.38 | (1656) leq(all_0_2_2, all_41_1_25) = 0
% 222.60/175.38 | (1657) multiplication(all_41_2_26, one) = all_41_1_25
% 222.60/175.38 |
% 222.60/175.38 +-Applying beta-rule and splitting (838), into two cases.
% 222.60/175.38 |-Branch one:
% 222.60/175.38 | (1658) all_20_1_18 = one
% 222.60/175.38 |
% 222.60/175.38 | From (1658) and (422) follows:
% 222.60/175.38 | (1659) strong_iteration(one) = all_110_2_102
% 222.60/175.38 |
% 222.60/175.38 | From (1658) and (212) follows:
% 222.60/175.38 | (229) leq(one, one) = 0
% 222.60/175.38 |
% 222.60/175.38 | From (1658) and (1073) follows:
% 222.60/175.38 | (1661) star(one) = all_445_1_423
% 222.60/175.38 |
% 222.60/175.38 | From (1658) and (52) follows:
% 222.60/175.38 | (1662) star(one) = one
% 222.60/175.38 |
% 222.60/175.38 | From (1658) and (1481) follows:
% 222.60/175.38 | (1663) multiplication(one, all_947_0_1016) = all_85_0_61
% 222.60/175.38 |
% 222.60/175.38 | From (1658) and (1392) follows:
% 222.60/175.38 | (1664) multiplication(one, all_846_0_895) = all_195_1_228
% 222.60/175.38 |
% 222.60/175.38 | From (1658)(1658) and (1617) follows:
% 222.60/175.38 | (1665) multiplication(one, one) = all_1183_0_1298
% 222.60/175.38 |
% 222.60/175.38 | From (1658)(1658) and (1618) follows:
% 222.60/175.38 | (1666) multiplication(one, one) = all_1183_1_1299
% 222.60/175.38 |
% 222.60/175.38 | From (1658)(1658) and (1572) follows:
% 222.60/175.38 | (1667) multiplication(one, one) = all_1120_1_1214
% 222.60/175.38 |
% 222.60/175.38 | From (1658)(1658) and (1568) follows:
% 222.60/175.38 | (1668) multiplication(one, one) = all_1118_1_1212
% 222.60/175.38 |
% 222.60/175.38 | From (1658)(1658) and (1450) follows:
% 222.60/175.38 | (1669) multiplication(one, one) = all_905_0_951
% 222.60/175.38 |
% 222.60/175.38 | From (1658)(1658) and (1448) follows:
% 222.60/175.38 | (1670) multiplication(one, one) = all_903_0_950
% 222.60/175.38 |
% 222.60/175.38 | From (1658)(1658) and (1443) follows:
% 222.60/175.38 | (1671) multiplication(one, one) = all_901_0_948
% 222.60/175.38 |
% 222.60/175.38 | From (1658)(1658) and (1418) follows:
% 222.60/175.38 | (1672) multiplication(one, one) = all_868_1_916
% 222.60/175.38 |
% 222.60/175.38 | From (1658)(1658) and (1414) follows:
% 222.60/175.38 | (1673) multiplication(one, one) = all_866_1_914
% 222.60/175.38 |
% 222.60/175.38 | From (1658)(1658) and (1263) follows:
% 222.60/175.38 | (1674) multiplication(one, one) = all_677_0_688
% 222.60/175.38 |
% 222.60/175.38 | From (1658)(1658) and (1257) follows:
% 222.60/175.39 | (1675) multiplication(one, one) = all_673_0_685
% 222.60/175.39 |
% 222.60/175.39 | From (1658)(1658) and (1166) follows:
% 222.60/175.39 | (1676) multiplication(one, one) = all_567_0_545
% 222.60/175.39 |
% 222.60/175.39 | From (1658)(1658) and (599) follows:
% 222.60/175.39 | (1677) multiplication(one, one) = all_130_1_131
% 222.60/175.39 |
% 222.60/175.39 | From (1658) and (1569) follows:
% 222.60/175.39 | (1678) multiplication(one, one) = all_1118_0_1211
% 222.60/175.39 |
% 222.60/175.39 | From (1658) and (1264) follows:
% 222.60/175.39 | (1679) multiplication(one, one) = all_677_1_689
% 222.60/175.39 |
% 222.60/175.39 | From (1658) and (1238) follows:
% 222.60/175.39 | (1680) multiplication(one, one) = all_660_0_663
% 222.60/175.39 |
% 222.60/175.39 | From (1658) and (1039) follows:
% 222.60/175.39 | (1681) multiplication(one, one) = all_381_1_359
% 222.60/175.39 |
% 222.60/175.39 | From (1658) and (1623) follows:
% 222.60/175.39 | (1682) multiplication(one, zero) = all_1187_0_1306
% 222.60/175.39 |
% 222.60/175.39 | From (1658) and (1624) follows:
% 222.60/175.39 | (1683) multiplication(one, zero) = all_1187_1_1307
% 222.60/175.39 |
% 222.60/175.39 | From (1658) and (1583) follows:
% 222.60/175.39 | (1684) multiplication(one, zero) = all_1132_1_1231
% 222.60/175.39 |
% 222.60/175.39 | From (1658) and (1170) follows:
% 222.60/175.39 | (1685) multiplication(one, zero) = all_569_0_547
% 222.60/175.39 |
% 222.60/175.39 | From (1658) and (1055) follows:
% 222.60/175.39 | (1686) multiplication(one, zero) = all_400_0_383
% 222.60/175.39 |
% 222.60/175.39 | From (1658) and (101) follows:
% 222.60/175.39 | (1687) multiplication(one, zero) = all_49_1_36
% 222.60/175.39 |
% 222.60/175.39 | From (1658) and (1613) follows:
% 222.60/175.39 | (1688) multiplication(all_0_2_2, one) = all_1181_0_1296
% 222.60/175.39 |
% 222.60/175.39 | From (1658) and (1614) follows:
% 222.60/175.39 | (1689) multiplication(all_0_2_2, one) = all_1181_1_1297
% 222.60/175.39 |
% 222.60/175.39 | From (1658) and (1601) follows:
% 222.60/175.39 | (1690) multiplication(all_0_2_2, one) = all_1147_1_1253
% 222.60/175.39 |
% 222.60/175.39 | From (1658) and (1510) follows:
% 222.60/175.39 | (1691) multiplication(all_0_2_2, one) = all_1015_1_1088
% 222.60/175.39 |
% 222.60/175.39 | From (1658) and (1432) follows:
% 222.60/175.39 | (1692) multiplication(all_0_2_2, one) = all_878_0_923
% 222.60/175.39 |
% 222.60/175.39 | From (1658) and (1421) follows:
% 222.60/175.39 | (1693) multiplication(all_0_2_2, one) = all_870_1_918
% 222.60/175.39 |
% 222.60/175.39 | From (1658) and (1409) follows:
% 222.60/175.39 | (1694) multiplication(all_0_2_2, one) = all_864_0_911
% 222.60/175.39 |
% 222.60/175.39 | From (1658) and (1396) follows:
% 222.60/175.39 | (1695) multiplication(all_0_2_2, one) = all_848_0_896
% 222.60/175.39 |
% 222.60/175.39 | From (1658) and (1275) follows:
% 222.60/175.39 | (1696) multiplication(all_0_2_2, one) = all_685_0_696
% 222.60/175.39 |
% 222.60/175.39 | From (1658) and (1272) follows:
% 222.60/175.39 | (1697) multiplication(all_0_2_2, one) = all_681_1_693
% 222.60/175.39 |
% 222.60/175.39 | From (1658) and (1268) follows:
% 222.60/175.39 | (1698) multiplication(all_0_2_2, one) = all_679_1_691
% 222.60/175.39 |
% 222.60/175.39 | From (1658) and (1261) follows:
% 222.60/175.39 | (1699) multiplication(all_0_2_2, one) = all_675_0_687
% 222.60/175.39 |
% 222.60/175.39 | From (1658) and (1158) follows:
% 222.60/175.39 | (1700) multiplication(all_0_2_2, one) = all_563_0_541
% 222.60/175.39 |
% 222.60/175.39 | From (1658) and (989) follows:
% 222.60/175.39 | (1701) multiplication(all_0_2_2, one) = all_322_0_288
% 222.60/175.39 |
% 222.60/175.39 | From (1658) and (536) follows:
% 222.60/175.39 | (1702) multiplication(all_0_2_2, one) = all_131_1_134
% 222.60/175.39 |
% 222.60/175.39 | From (1658) and (1573) follows:
% 222.60/175.39 | (1703) multiplication(one, one) = all_1120_0_1213
% 222.60/175.39 |
% 222.60/175.39 | From (1658) and (1444) follows:
% 222.60/175.39 | (1704) multiplication(one, one) = all_901_1_949
% 222.60/175.39 |
% 222.60/175.39 | From (1658) and (1433) follows:
% 222.60/175.39 | (1705) multiplication(one, one) = all_878_1_924
% 222.60/175.39 |
% 222.60/175.39 | From (1658) and (1422) follows:
% 222.60/175.39 | (1706) multiplication(one, one) = all_870_0_917
% 222.60/175.39 |
% 222.60/175.39 | From (1658) and (1602) follows:
% 222.60/175.39 | (1707) multiplication(zero, one) = all_1147_0_1252
% 222.60/175.39 |
% 222.60/175.39 | From (1658) and (553) follows:
% 222.60/175.39 | (1708) addition(all_162_0_173, one) = all_44_0_29
% 222.60/175.39 |
% 222.60/175.39 | From (1658) and (1630) follows:
% 222.60/175.39 | (1709) addition(all_20_0_17, one) = all_1193_0_1315
% 222.60/175.39 |
% 222.60/175.39 | From (1658) and (1352) follows:
% 222.60/175.39 | (1710) addition(all_20_0_17, one) = all_807_0_840
% 222.60/175.39 |
% 222.60/175.39 | From (1658) and (1011) follows:
% 222.60/175.39 | (1711) addition(all_20_0_17, one) = all_341_0_308
% 222.60/175.39 |
% 222.60/175.39 | From (1658) and (946) follows:
% 222.60/175.39 | (1712) addition(all_20_0_17, one) = all_277_0_248
% 222.60/175.39 |
% 222.60/175.39 | From (1658) and (72) follows:
% 222.60/175.39 | (1713) addition(all_20_0_17, one) = all_0_2_2
% 222.60/175.39 |
% 222.60/175.39 | From (1658) and (1065) follows:
% 222.60/175.39 | (1714) addition(one, all_195_1_228) = all_428_0_411
% 222.60/175.39 |
% 222.60/175.39 | From (1658) and (684) follows:
% 222.60/175.39 | (1715) addition(one, all_162_0_173) = all_44_0_29
% 222.60/175.39 |
% 222.60/175.39 | From (1658) and (1108) follows:
% 222.60/175.39 | (1716) addition(one, all_147_0_152) = all_493_0_474
% 222.60/175.39 |
% 222.60/175.39 | From (1658) and (1519) follows:
% 222.60/175.40 | (1717) addition(one, all_49_1_36) = all_1021_0_1096
% 222.60/175.40 |
% 222.60/175.40 | From (1658) and (1438) follows:
% 222.60/175.40 | (1718) addition(one, all_49_1_36) = all_893_0_944
% 222.60/175.40 |
% 222.60/175.40 | From (1658) and (1357) follows:
% 222.60/175.40 | (1719) addition(one, all_49_1_36) = all_814_0_851
% 222.60/175.40 |
% 222.60/175.40 | From (1658) and (1185) follows:
% 222.60/175.40 | (1720) addition(one, all_49_1_36) = all_580_0_557
% 222.60/175.40 |
% 222.60/175.40 | From (1658) and (1092) follows:
% 222.60/175.40 | (1721) addition(one, all_49_1_36) = all_469_0_457
% 222.60/175.40 |
% 222.60/175.40 | From (1658) and (1068) follows:
% 222.60/175.40 | (1722) addition(one, all_49_1_36) = all_434_0_414
% 222.60/175.40 |
% 222.60/175.40 | From (1658) and (1017) follows:
% 222.60/175.40 | (1723) addition(one, all_49_1_36) = all_356_0_329
% 222.60/175.40 |
% 222.60/175.40 | From (1658) and (243) follows:
% 222.60/175.40 | (1724) addition(one, all_49_1_36) = all_85_0_61
% 222.60/175.40 |
% 222.60/175.40 | From (1658) and (1530) follows:
% 222.60/175.40 | (1725) addition(one, all_0_1_1) = all_1031_0_1101
% 222.60/175.40 |
% 222.60/175.40 | From (1658) and (1516) follows:
% 222.60/175.40 | (1726) addition(one, all_0_1_1) = all_1019_0_1095
% 222.60/175.40 |
% 222.60/175.40 | From (1658) and (1242) follows:
% 222.60/175.40 | (1727) addition(one, all_0_1_1) = all_662_0_665
% 222.60/175.40 |
% 222.60/175.40 | From (1658) and (198) follows:
% 222.60/175.40 | (1728) addition(one, all_0_1_1) = all_44_0_29
% 222.60/175.40 |
% 222.60/175.40 | From (1658) and (914) follows:
% 222.60/175.40 | (1729) addition(one, zero) = all_205_0_233
% 222.60/175.40 |
% 222.60/175.40 | From (1658) and (1593) follows:
% 222.60/175.40 | (1730) addition(zero, one) = all_1139_0_1242
% 222.60/175.40 |
% 222.60/175.40 | From (1658) and (1578) follows:
% 222.60/175.40 | (1731) addition(zero, one) = all_1127_0_1220
% 222.60/175.40 |
% 222.60/175.40 | From (1658) and (1374) follows:
% 222.60/175.40 | (1732) addition(zero, one) = all_831_0_882
% 222.60/175.40 |
% 222.60/175.40 | From (1658) and (1371) follows:
% 222.60/175.40 | (1733) addition(zero, one) = all_829_0_881
% 222.60/175.40 |
% 222.60/175.40 | From (1658) and (1181) follows:
% 222.60/175.40 | (1734) addition(zero, one) = all_577_0_553
% 222.60/175.40 |
% 222.60/175.40 | From (1658) and (396) follows:
% 222.60/175.40 | (1735) addition(zero, one) = all_205_0_233
% 222.60/175.40 |
% 222.60/175.40 +-Applying beta-rule and splitting (1210), into two cases.
% 222.60/175.40 |-Branch one:
% 222.60/175.40 | (1736) all_614_0_605 = 0 & strong_iteration(all_20_1_18) = all_614_2_607 & leq(one, all_614_1_606) = 0 & multiplication(all_614_2_607, all_152_0_162) = all_614_1_606
% 222.60/175.40 |
% 222.60/175.40 | Applying alpha-rule on (1736) yields:
% 222.60/175.40 | (1737) all_614_0_605 = 0
% 222.60/175.40 | (1738) strong_iteration(all_20_1_18) = all_614_2_607
% 222.60/175.40 | (1739) leq(one, all_614_1_606) = 0
% 222.60/175.40 | (1740) multiplication(all_614_2_607, all_152_0_162) = all_614_1_606
% 222.60/175.40 |
% 222.60/175.40 | From (1658) and (1738) follows:
% 222.60/175.40 | (1741) strong_iteration(one) = all_614_2_607
% 222.60/175.40 |
% 222.60/175.40 +-Applying beta-rule and splitting (1235), into two cases.
% 222.60/175.40 |-Branch one:
% 222.60/175.40 | (1742) all_658_0_657 = 0 & strong_iteration(one) = all_658_2_659 & leq(zero, all_658_1_658) = 0 & multiplication(all_658_2_659, all_49_1_36) = all_658_1_658
% 222.60/175.40 |
% 222.60/175.40 | Applying alpha-rule on (1742) yields:
% 222.60/175.40 | (1743) all_658_0_657 = 0
% 222.60/175.40 | (1744) strong_iteration(one) = all_658_2_659
% 222.60/175.40 | (1745) leq(zero, all_658_1_658) = 0
% 222.60/175.40 | (1746) multiplication(all_658_2_659, all_49_1_36) = all_658_1_658
% 222.60/175.40 |
% 222.60/175.40 +-Applying beta-rule and splitting (1182), into two cases.
% 222.60/175.40 |-Branch one:
% 222.60/175.40 | (1747) all_579_0_554 = 0 & leq(all_579_1_555, all_20_1_18) = 0 & star(one) = all_579_2_556 & multiplication(all_20_1_18, all_579_2_556) = all_579_1_555
% 222.60/175.40 |
% 222.60/175.40 | Applying alpha-rule on (1747) yields:
% 222.60/175.40 | (1748) all_579_0_554 = 0
% 222.60/175.40 | (1749) leq(all_579_1_555, all_20_1_18) = 0
% 222.60/175.40 | (1750) star(one) = all_579_2_556
% 222.60/175.40 | (1751) multiplication(all_20_1_18, all_579_2_556) = all_579_1_555
% 222.60/175.40 |
% 222.60/175.40 +-Applying beta-rule and splitting (1513), into two cases.
% 222.60/175.40 |-Branch one:
% 222.60/175.40 | (1752) all_1018_0_1092 = 0 & leq(all_1018_1_1093, all_20_1_18) = 0 & star(one) = all_1018_2_1094 & multiplication(one, all_1018_2_1094) = all_1018_1_1093
% 222.60/175.40 |
% 222.60/175.40 | Applying alpha-rule on (1752) yields:
% 222.60/175.40 | (1753) all_1018_0_1092 = 0
% 222.60/175.40 | (1754) leq(all_1018_1_1093, all_20_1_18) = 0
% 222.60/175.40 | (1755) star(one) = all_1018_2_1094
% 222.60/175.40 | (1756) multiplication(one, all_1018_2_1094) = all_1018_1_1093
% 222.60/175.40 |
% 222.60/175.40 +-Applying beta-rule and splitting (86), into two cases.
% 222.60/175.40 |-Branch one:
% 222.60/175.40 | (1757) all_40_0_21 = 0 & leq(all_40_1_22, all_0_2_2) = 0 & star(one) = all_40_2_23 & multiplication(all_40_2_23, one) = all_40_1_22
% 222.60/175.40 |
% 222.60/175.40 | Applying alpha-rule on (1757) yields:
% 222.60/175.40 | (1758) all_40_0_21 = 0
% 222.60/175.40 | (1759) leq(all_40_1_22, all_0_2_2) = 0
% 222.60/175.40 | (1760) star(one) = all_40_2_23
% 222.60/175.40 | (1761) multiplication(all_40_2_23, one) = all_40_1_22
% 222.60/175.40 |
% 222.60/175.40 +-Applying beta-rule and splitting (1641), into two cases.
% 222.60/175.40 |-Branch one:
% 222.60/175.40 | (1762) all_1209_0_1349 = 0 & leq(all_1209_1_1350, one) = 0 & star(all_20_1_18) = all_1209_2_1351 & multiplication(all_1209_2_1351, all_20_1_18) = all_1209_1_1350
% 222.60/175.40 |
% 222.60/175.40 | Applying alpha-rule on (1762) yields:
% 222.60/175.40 | (1763) all_1209_0_1349 = 0
% 222.60/175.40 | (1764) leq(all_1209_1_1350, one) = 0
% 222.60/175.40 | (1765) star(all_20_1_18) = all_1209_2_1351
% 222.60/175.40 | (1766) multiplication(all_1209_2_1351, all_20_1_18) = all_1209_1_1350
% 222.60/175.40 |
% 222.60/175.40 | From (1658) and (1765) follows:
% 222.60/175.40 | (1767) star(one) = all_1209_2_1351
% 222.60/175.40 |
% 222.60/175.40 +-Applying beta-rule and splitting (1494), into two cases.
% 222.60/175.40 |-Branch one:
% 222.60/175.40 | (1768) all_978_0_1051 = 0 & leq(all_978_1_1052, all_20_0_17) = 0 & star(one) = all_978_2_1053 & multiplication(all_49_1_36, all_978_2_1053) = all_978_1_1052
% 222.60/175.40 |
% 222.60/175.40 | Applying alpha-rule on (1768) yields:
% 222.60/175.40 | (1769) all_978_0_1051 = 0
% 222.60/175.40 | (1770) leq(all_978_1_1052, all_20_0_17) = 0
% 222.60/175.40 | (1771) star(one) = all_978_2_1053
% 222.60/175.40 | (1772) multiplication(all_49_1_36, all_978_2_1053) = all_978_1_1052
% 222.60/175.40 |
% 222.60/175.40 +-Applying beta-rule and splitting (1085), into two cases.
% 222.60/175.40 |-Branch one:
% 222.60/175.40 | (1773) all_459_0_440 = 0 & strong_iteration(one) = all_459_2_442 & leq(all_0_2_2, all_459_1_441) = 0 & multiplication(all_459_2_442, zero) = all_459_1_441
% 222.60/175.40 |
% 222.60/175.40 | Applying alpha-rule on (1773) yields:
% 222.60/175.40 | (1774) all_459_0_440 = 0
% 222.60/175.40 | (1775) strong_iteration(one) = all_459_2_442
% 222.60/175.40 | (1776) leq(all_0_2_2, all_459_1_441) = 0
% 222.60/175.40 | (1777) multiplication(all_459_2_442, zero) = all_459_1_441
% 222.60/175.40 |
% 222.60/175.40 +-Applying beta-rule and splitting (1084), into two cases.
% 222.60/175.40 |-Branch one:
% 222.60/175.40 | (1778) all_458_0_437 = 0 & leq(all_458_1_438, all_0_2_2) = 0 & star(one) = all_458_2_439 & multiplication(all_458_2_439, zero) = all_458_1_438
% 222.60/175.40 |
% 222.60/175.40 | Applying alpha-rule on (1778) yields:
% 222.60/175.40 | (1779) all_458_0_437 = 0
% 222.60/175.40 | (1780) leq(all_458_1_438, all_0_2_2) = 0
% 222.60/175.41 | (1781) star(one) = all_458_2_439
% 222.60/175.41 | (1782) multiplication(all_458_2_439, zero) = all_458_1_438
% 222.60/175.41 |
% 222.60/175.41 +-Applying beta-rule and splitting (1542), into two cases.
% 222.60/175.41 |-Branch one:
% 222.60/175.41 | (1783) all_1058_0_1123 = 0 & leq(all_1058_1_1124, all_20_0_17) = 0 & star(zero) = all_1058_2_1125 & multiplication(all_20_0_17, all_1058_2_1125) = all_1058_1_1124
% 222.60/175.41 |
% 222.60/175.41 | Applying alpha-rule on (1783) yields:
% 222.60/175.41 | (1784) all_1058_0_1123 = 0
% 222.60/175.41 | (1785) leq(all_1058_1_1124, all_20_0_17) = 0
% 222.60/175.41 | (1786) star(zero) = all_1058_2_1125
% 222.60/175.41 | (1787) multiplication(all_20_0_17, all_1058_2_1125) = all_1058_1_1124
% 222.60/175.41 |
% 222.60/175.41 +-Applying beta-rule and splitting (365), into two cases.
% 222.60/175.41 |-Branch one:
% 222.60/175.41 | (1788) all_183_0_205 = 0 & strong_iteration(all_20_1_18) = all_183_2_207 & leq(zero, all_183_1_206) = 0 & multiplication(all_183_2_207, all_49_0_35) = all_183_1_206
% 222.60/175.41 |
% 222.60/175.41 | Applying alpha-rule on (1788) yields:
% 222.60/175.41 | (1789) all_183_0_205 = 0
% 222.60/175.41 | (1790) strong_iteration(all_20_1_18) = all_183_2_207
% 222.60/175.41 | (1791) leq(zero, all_183_1_206) = 0
% 222.60/175.41 | (1792) multiplication(all_183_2_207, all_49_0_35) = all_183_1_206
% 222.60/175.41 |
% 222.60/175.41 | From (1658) and (1790) follows:
% 222.60/175.41 | (1793) strong_iteration(one) = all_183_2_207
% 222.60/175.41 |
% 222.60/175.41 | From (594) and (1792) follows:
% 222.60/175.41 | (1794) multiplication(all_183_2_207, all_20_0_17) = all_183_1_206
% 222.60/175.41 |
% 222.60/175.41 +-Applying beta-rule and splitting (1580), into two cases.
% 222.60/175.41 |-Branch one:
% 222.60/175.41 | (1795) all_1130_0_1224 = 0 & leq(all_1130_1_1225, one) = 0 & star(all_20_1_18) = all_1130_2_1226 & multiplication(all_1130_2_1226, one) = all_1130_1_1225
% 222.60/175.41 |
% 222.60/175.41 | Applying alpha-rule on (1795) yields:
% 222.60/175.41 | (1796) all_1130_0_1224 = 0
% 222.60/175.41 | (1797) leq(all_1130_1_1225, one) = 0
% 222.60/175.41 | (1798) star(all_20_1_18) = all_1130_2_1226
% 222.60/175.41 | (1799) multiplication(all_1130_2_1226, one) = all_1130_1_1225
% 222.60/175.41 |
% 222.60/175.41 | From (1658) and (1798) follows:
% 222.60/175.41 | (1800) star(one) = all_1130_2_1226
% 222.60/175.41 |
% 222.60/175.41 +-Applying beta-rule and splitting (671), into two cases.
% 222.60/175.41 |-Branch one:
% 222.60/175.41 | (55) all_0_0_0 = 0
% 222.60/175.41 |
% 222.60/175.41 | Equations (55) can reduce 44 to:
% 222.60/175.41 | (56) $false
% 222.60/175.41 |
% 222.60/175.41 |-The branch is then unsatisfiable
% 222.60/175.41 |-Branch two:
% 222.60/175.41 | (44) ~ (all_0_0_0 = 0)
% 222.60/175.41 | (1804) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = 0) & leq(all_0_1_1, v1) = v2 & multiplication(one, all_0_1_1) = v0 & addition(v0, one) = v1)
% 222.60/175.41 |
% 222.60/175.41 | Instantiating (1804) with all_1301_0_1374, all_1301_1_1375, all_1301_2_1376 yields:
% 222.60/175.41 | (1805) ~ (all_1301_0_1374 = 0) & leq(all_0_1_1, all_1301_1_1375) = all_1301_0_1374 & multiplication(one, all_0_1_1) = all_1301_2_1376 & addition(all_1301_2_1376, one) = all_1301_1_1375
% 222.60/175.41 |
% 222.60/175.41 | Applying alpha-rule on (1805) yields:
% 222.60/175.41 | (1806) ~ (all_1301_0_1374 = 0)
% 222.60/175.41 | (1807) leq(all_0_1_1, all_1301_1_1375) = all_1301_0_1374
% 222.60/175.41 | (1808) multiplication(one, all_0_1_1) = all_1301_2_1376
% 222.60/175.41 | (1809) addition(all_1301_2_1376, one) = all_1301_1_1375
% 222.60/175.41 |
% 222.60/175.41 +-Applying beta-rule and splitting (1036), into two cases.
% 222.60/175.41 |-Branch one:
% 222.60/175.41 | (1810) all_379_0_352 = 0 & leq(all_379_1_353, all_0_2_2) = 0 & star(one) = all_379_2_354 & multiplication(one, all_379_2_354) = all_379_1_353
% 222.60/175.41 |
% 222.60/175.41 | Applying alpha-rule on (1810) yields:
% 222.60/175.41 | (1811) all_379_0_352 = 0
% 222.60/175.41 | (1812) leq(all_379_1_353, all_0_2_2) = 0
% 222.60/175.41 | (1813) star(one) = all_379_2_354
% 222.60/175.41 | (1814) multiplication(one, all_379_2_354) = all_379_1_353
% 222.60/175.41 |
% 222.60/175.41 +-Applying beta-rule and splitting (685), into two cases.
% 222.60/175.41 |-Branch one:
% 222.60/175.41 | (1815) all_26_0_19 = all_0_2_2
% 222.60/175.41 |
% 222.60/175.41 | Equations (1815) can reduce 60 to:
% 222.60/175.41 | (56) $false
% 222.60/175.41 |
% 222.60/175.41 |-The branch is then unsatisfiable
% 222.60/175.41 |-Branch two:
% 222.60/175.41 | (60) ~ (all_26_0_19 = all_0_2_2)
% 222.60/175.41 | (1818) ? [v0] : ( ~ (v0 = 0) & leq(all_162_0_173, all_0_2_2) = v0)
% 222.60/175.41 |
% 222.60/175.41 +-Applying beta-rule and splitting (316), into two cases.
% 222.60/175.41 |-Branch one:
% 222.60/175.41 | (1819) all_146_0_149 = 0 & leq(all_146_1_150, all_20_0_17) = 0 & star(one) = all_146_2_151 & multiplication(all_146_2_151, zero) = all_146_1_150
% 222.60/175.41 |
% 222.60/175.41 | Applying alpha-rule on (1819) yields:
% 222.60/175.41 | (1820) all_146_0_149 = 0
% 222.60/175.41 | (1821) leq(all_146_1_150, all_20_0_17) = 0
% 222.60/175.41 | (1822) star(one) = all_146_2_151
% 222.60/175.41 | (1823) multiplication(all_146_2_151, zero) = all_146_1_150
% 222.60/175.41 |
% 222.60/175.41 +-Applying beta-rule and splitting (1502), into two cases.
% 222.60/175.41 |-Branch one:
% 222.60/175.41 | (1824) all_1000_0_1077 = 0 & leq(all_1000_1_1078, all_20_0_17) = 0 & star(zero) = all_1000_2_1079 & multiplication(all_49_1_36, all_1000_2_1079) = all_1000_1_1078
% 222.60/175.41 |
% 222.60/175.41 | Applying alpha-rule on (1824) yields:
% 222.60/175.41 | (1825) all_1000_0_1077 = 0
% 222.60/175.41 | (1826) leq(all_1000_1_1078, all_20_0_17) = 0
% 222.60/175.41 | (1827) star(zero) = all_1000_2_1079
% 222.60/175.41 | (1828) multiplication(all_49_1_36, all_1000_2_1079) = all_1000_1_1078
% 222.60/175.41 |
% 222.60/175.41 +-Applying beta-rule and splitting (1368), into two cases.
% 222.60/175.41 |-Branch one:
% 222.60/175.41 | (1829) all_828_0_878 = 0 & strong_iteration(zero) = all_828_2_880 & leq(zero, all_828_1_879) = 0 & multiplication(all_828_2_880, all_20_0_17) = all_828_1_879
% 222.60/175.41 |
% 222.60/175.41 | Applying alpha-rule on (1829) yields:
% 222.60/175.41 | (1830) all_828_0_878 = 0
% 222.60/175.41 | (1831) strong_iteration(zero) = all_828_2_880
% 222.60/175.41 | (1832) leq(zero, all_828_1_879) = 0
% 222.60/175.41 | (1833) multiplication(all_828_2_880, all_20_0_17) = all_828_1_879
% 222.60/175.41 |
% 222.60/175.41 +-Applying beta-rule and splitting (1076), into two cases.
% 222.60/175.41 |-Branch one:
% 222.60/175.41 | (1834) all_447_0_424 = 0 & strong_iteration(one) = all_447_2_426 & leq(all_49_1_36, all_447_1_425) = 0 & multiplication(all_447_2_426, all_38_0_20) = all_447_1_425
% 222.60/175.41 |
% 222.60/175.41 | Applying alpha-rule on (1834) yields:
% 222.60/175.41 | (1835) all_447_0_424 = 0
% 222.60/175.41 | (1836) strong_iteration(one) = all_447_2_426
% 222.60/175.41 | (1837) leq(all_49_1_36, all_447_1_425) = 0
% 222.60/175.41 | (1838) multiplication(all_447_2_426, all_38_0_20) = all_447_1_425
% 222.60/175.41 |
% 222.60/175.41 +-Applying beta-rule and splitting (244), into two cases.
% 222.60/175.41 |-Branch one:
% 222.60/175.41 | (1839) all_87_0_62 = 0 & strong_iteration(one) = all_87_2_64 & leq(all_20_1_18, all_87_1_63) = 0 & multiplication(all_87_2_64, all_20_0_17) = all_87_1_63
% 222.60/175.41 |
% 222.60/175.41 | Applying alpha-rule on (1839) yields:
% 222.60/175.41 | (1840) all_87_0_62 = 0
% 222.60/175.41 | (1841) strong_iteration(one) = all_87_2_64
% 222.60/175.41 | (1842) leq(all_20_1_18, all_87_1_63) = 0
% 222.60/175.41 | (1843) multiplication(all_87_2_64, all_20_0_17) = all_87_1_63
% 222.60/175.41 |
% 222.60/175.41 +-Applying beta-rule and splitting (1131), into two cases.
% 222.60/175.41 |-Branch one:
% 222.60/175.41 | (1844) all_528_0_499 = 0 & strong_iteration(one) = all_528_2_501 & leq(one, all_528_1_500) = 0 & multiplication(all_528_2_501, all_26_0_19) = all_528_1_500
% 222.60/175.41 |
% 222.60/175.41 | Applying alpha-rule on (1844) yields:
% 222.60/175.41 | (1845) all_528_0_499 = 0
% 222.60/175.41 | (1846) strong_iteration(one) = all_528_2_501
% 222.60/175.41 | (1847) leq(one, all_528_1_500) = 0
% 222.60/175.41 | (1848) multiplication(all_528_2_501, all_26_0_19) = all_528_1_500
% 222.60/175.41 |
% 222.60/175.41 +-Applying beta-rule and splitting (1587), into two cases.
% 222.60/175.41 |-Branch one:
% 222.60/175.41 | (1849) all_1135_0_1235 = 0 & strong_iteration(one) = all_1135_2_1237 & leq(all_20_1_18, all_1135_1_1236) = 0 & multiplication(all_1135_2_1237, one) = all_1135_1_1236
% 222.60/175.41 |
% 222.60/175.41 | Applying alpha-rule on (1849) yields:
% 222.60/175.41 | (1850) all_1135_0_1235 = 0
% 222.60/175.41 | (1851) strong_iteration(one) = all_1135_2_1237
% 222.60/175.41 | (1852) leq(all_20_1_18, all_1135_1_1236) = 0
% 222.60/175.41 | (1853) multiplication(all_1135_2_1237, one) = all_1135_1_1236
% 222.60/175.41 |
% 222.60/175.41 +-Applying beta-rule and splitting (1234), into two cases.
% 222.60/175.41 |-Branch one:
% 222.60/175.41 | (1854) all_655_0_653 = 0 & strong_iteration(one) = all_655_2_655 & leq(all_20_1_18, all_655_1_654) = 0 & multiplication(all_655_2_655, all_155_0_166) = all_655_1_654
% 222.60/175.41 |
% 222.60/175.41 | Applying alpha-rule on (1854) yields:
% 222.60/175.41 | (1855) all_655_0_653 = 0
% 222.60/175.41 | (1856) strong_iteration(one) = all_655_2_655
% 222.60/175.41 | (1857) leq(all_20_1_18, all_655_1_654) = 0
% 222.60/175.41 | (1858) multiplication(all_655_2_655, all_155_0_166) = all_655_1_654
% 222.60/175.41 |
% 222.60/175.41 +-Applying beta-rule and splitting (1364), into two cases.
% 222.60/175.41 |-Branch one:
% 222.60/175.41 | (1859) all_820_0_859 = 0 & leq(all_820_1_860, zero) = 0 & star(one) = all_820_2_861 & multiplication(all_820_2_861, zero) = all_820_1_860
% 222.60/175.41 |
% 222.60/175.41 | Applying alpha-rule on (1859) yields:
% 222.60/175.41 | (1860) all_820_0_859 = 0
% 222.60/175.41 | (1861) leq(all_820_1_860, zero) = 0
% 222.60/175.41 | (1862) star(one) = all_820_2_861
% 222.60/175.41 | (1863) multiplication(all_820_2_861, zero) = all_820_1_860
% 222.60/175.41 |
% 222.60/175.41 +-Applying beta-rule and splitting (1202), into two cases.
% 222.60/175.41 |-Branch one:
% 222.60/175.41 | (1864) all_606_0_585 = 0 & strong_iteration(one) = all_606_2_587 & leq(all_20_1_18, all_606_1_586) = 0 & multiplication(all_606_2_587, all_152_0_162) = all_606_1_586
% 222.60/175.41 |
% 222.60/175.41 | Applying alpha-rule on (1864) yields:
% 222.60/175.41 | (1865) all_606_0_585 = 0
% 222.60/175.42 | (1866) strong_iteration(one) = all_606_2_587
% 222.60/175.42 | (1867) leq(all_20_1_18, all_606_1_586) = 0
% 222.60/175.42 | (1868) multiplication(all_606_2_587, all_152_0_162) = all_606_1_586
% 222.60/175.42 |
% 222.60/175.42 +-Applying beta-rule and splitting (1056), into two cases.
% 222.60/175.42 |-Branch one:
% 222.60/175.42 | (1869) all_402_0_384 = 0 & strong_iteration(all_20_1_18) = all_402_2_386 & leq(zero, all_402_1_385) = 0 & multiplication(all_402_2_386, all_178_0_198) = all_402_1_385
% 222.60/175.42 |
% 222.60/175.42 | Applying alpha-rule on (1869) yields:
% 222.60/175.42 | (1870) all_402_0_384 = 0
% 222.60/175.42 | (1871) strong_iteration(all_20_1_18) = all_402_2_386
% 222.60/175.42 | (1872) leq(zero, all_402_1_385) = 0
% 222.60/175.42 | (1873) multiplication(all_402_2_386, all_178_0_198) = all_402_1_385
% 222.60/175.42 |
% 222.60/175.42 | From (1658) and (1871) follows:
% 222.60/175.42 | (1874) strong_iteration(one) = all_402_2_386
% 222.60/175.42 |
% 222.60/175.42 +-Applying beta-rule and splitting (356), into two cases.
% 222.60/175.42 |-Branch one:
% 222.60/175.42 | (1875) all_177_0_195 = 0 & leq(all_177_1_196, all_0_2_2) = 0 & star(zero) = all_177_2_197 & multiplication(all_20_1_18, all_177_2_197) = all_177_1_196
% 222.60/175.42 |
% 222.60/175.42 | Applying alpha-rule on (1875) yields:
% 222.60/175.42 | (1876) all_177_0_195 = 0
% 222.60/175.42 | (1877) leq(all_177_1_196, all_0_2_2) = 0
% 222.60/175.42 | (1878) star(zero) = all_177_2_197
% 222.60/175.42 | (1879) multiplication(all_20_1_18, all_177_2_197) = all_177_1_196
% 222.60/175.42 |
% 222.60/175.42 +-Applying beta-rule and splitting (240), into two cases.
% 222.60/175.42 |-Branch one:
% 222.60/175.42 | (1880) all_82_0_52 = 0 & strong_iteration(one) = all_82_2_54 & leq(all_20_1_18, all_82_1_53) = 0 & multiplication(all_82_2_54, all_38_0_20) = all_82_1_53
% 222.60/175.42 |
% 222.60/175.42 | Applying alpha-rule on (1880) yields:
% 222.60/175.42 | (1881) all_82_0_52 = 0
% 222.60/175.42 | (1882) strong_iteration(one) = all_82_2_54
% 222.60/175.42 | (1883) leq(all_20_1_18, all_82_1_53) = 0
% 222.60/175.42 | (1884) multiplication(all_82_2_54, all_38_0_20) = all_82_1_53
% 222.60/175.42 |
% 222.60/175.42 +-Applying beta-rule and splitting (1362), into two cases.
% 222.60/175.42 |-Branch one:
% 222.60/175.42 | (1885) all_818_0_853 = 0 & strong_iteration(one) = all_818_2_855 & leq(zero, all_818_1_854) = 0 & multiplication(all_818_2_855, zero) = all_818_1_854
% 222.60/175.42 |
% 222.60/175.42 | Applying alpha-rule on (1885) yields:
% 222.60/175.42 | (1886) all_818_0_853 = 0
% 222.60/175.42 | (1887) strong_iteration(one) = all_818_2_855
% 222.60/175.42 | (1888) leq(zero, all_818_1_854) = 0
% 222.60/175.42 | (1889) multiplication(all_818_2_855, zero) = all_818_1_854
% 222.60/175.42 |
% 222.60/175.42 +-Applying beta-rule and splitting (366), into two cases.
% 222.60/175.42 |-Branch one:
% 222.60/175.42 | (1890) all_184_0_208 = 0 & strong_iteration(one) = all_184_2_210 & leq(all_20_0_17, all_184_1_209) = 0 & multiplication(all_184_2_210, zero) = all_184_1_209
% 222.60/175.42 |
% 222.60/175.42 | Applying alpha-rule on (1890) yields:
% 222.60/175.42 | (1891) all_184_0_208 = 0
% 222.60/175.42 | (1892) strong_iteration(one) = all_184_2_210
% 222.60/175.42 | (1893) leq(all_20_0_17, all_184_1_209) = 0
% 222.60/175.42 | (1894) multiplication(all_184_2_210, zero) = all_184_1_209
% 222.60/175.42 |
% 222.60/175.42 +-Applying beta-rule and splitting (1303), into two cases.
% 222.60/175.42 |-Branch one:
% 222.60/175.42 | (1895) all_720_0_741 = 0 & strong_iteration(zero) = all_720_2_743 & leq(zero, all_720_1_742) = 0 & multiplication(all_720_2_743, zero) = all_720_1_742
% 222.60/175.42 |
% 222.60/175.42 | Applying alpha-rule on (1895) yields:
% 222.60/175.42 | (1896) all_720_0_741 = 0
% 222.60/175.42 | (1897) strong_iteration(zero) = all_720_2_743
% 222.60/175.42 | (1898) leq(zero, all_720_1_742) = 0
% 222.60/175.42 | (1899) multiplication(all_720_2_743, zero) = all_720_1_742
% 222.60/175.42 |
% 222.60/175.42 +-Applying beta-rule and splitting (1626), into two cases.
% 222.60/175.42 |-Branch one:
% 222.60/175.42 | (1900) all_1189_0_1308 = 0 & leq(all_1189_1_1309, all_20_1_18) = 0 & star(one) = all_1189_2_1310 & multiplication(all_1189_2_1310, all_20_1_18) = all_1189_1_1309
% 222.60/175.42 |
% 222.60/175.42 | Applying alpha-rule on (1900) yields:
% 222.60/175.42 | (1901) all_1189_0_1308 = 0
% 222.60/175.42 | (1902) leq(all_1189_1_1309, all_20_1_18) = 0
% 222.60/175.42 | (1903) star(one) = all_1189_2_1310
% 222.60/175.42 | (1904) multiplication(all_1189_2_1310, all_20_1_18) = all_1189_1_1309
% 222.60/175.42 |
% 222.60/175.42 +-Applying beta-rule and splitting (1367), into two cases.
% 222.60/175.42 |-Branch one:
% 222.60/175.42 | (1905) all_827_0_875 = 0 & strong_iteration(zero) = all_827_2_877 & leq(zero, all_827_1_876) = 0 & multiplication(all_827_2_877, all_49_1_36) = all_827_1_876
% 222.60/175.42 |
% 222.60/175.42 | Applying alpha-rule on (1905) yields:
% 222.60/175.42 | (1906) all_827_0_875 = 0
% 222.60/175.42 | (1907) strong_iteration(zero) = all_827_2_877
% 222.60/175.42 | (1908) leq(zero, all_827_1_876) = 0
% 222.60/175.42 | (1909) multiplication(all_827_2_877, all_49_1_36) = all_827_1_876
% 222.60/175.42 |
% 222.60/175.42 +-Applying beta-rule and splitting (1642), into two cases.
% 222.60/175.42 |-Branch one:
% 222.60/175.42 | (1910) all_1210_0_1352 = 0 & strong_iteration(all_20_1_18) = all_1210_2_1354 & leq(one, all_1210_1_1353) = 0 & multiplication(all_1210_2_1354, all_20_1_18) = all_1210_1_1353
% 222.60/175.42 |
% 222.60/175.42 | Applying alpha-rule on (1910) yields:
% 222.60/175.42 | (1911) all_1210_0_1352 = 0
% 222.60/175.42 | (1912) strong_iteration(all_20_1_18) = all_1210_2_1354
% 222.60/175.42 | (1913) leq(one, all_1210_1_1353) = 0
% 222.60/175.42 | (1914) multiplication(all_1210_2_1354, all_20_1_18) = all_1210_1_1353
% 222.60/175.42 |
% 222.60/175.42 | From (1658) and (1912) follows:
% 222.60/175.42 | (1915) strong_iteration(one) = all_1210_2_1354
% 222.60/175.42 |
% 222.60/175.42 +-Applying beta-rule and splitting (1640), into two cases.
% 222.60/175.42 |-Branch one:
% 222.60/175.42 | (1916) all_1205_0_1337 = 0 & strong_iteration(one) = all_1205_2_1339 & leq(all_20_0_17, all_1205_1_1338) = 0 & multiplication(all_1205_2_1339, all_49_1_36) = all_1205_1_1338
% 222.60/175.42 |
% 222.60/175.42 | Applying alpha-rule on (1916) yields:
% 222.60/175.42 | (1917) all_1205_0_1337 = 0
% 222.60/175.42 | (1918) strong_iteration(one) = all_1205_2_1339
% 222.60/175.42 | (1919) leq(all_20_0_17, all_1205_1_1338) = 0
% 222.60/175.42 | (1920) multiplication(all_1205_2_1339, all_49_1_36) = all_1205_1_1338
% 222.60/175.42 |
% 222.60/175.42 +-Applying beta-rule and splitting (1646), into two cases.
% 222.60/175.42 |-Branch one:
% 222.60/175.42 | (1921) all_1215_0_1357 = 0 & leq(all_1215_1_1358, all_0_2_2) = 0 & star(one) = all_1215_2_1359 & multiplication(all_0_2_2, all_1215_2_1359) = all_1215_1_1358
% 222.60/175.42 |
% 222.60/175.42 | Applying alpha-rule on (1921) yields:
% 222.60/175.42 | (1922) all_1215_0_1357 = 0
% 222.60/175.42 | (1923) leq(all_1215_1_1358, all_0_2_2) = 0
% 222.60/175.42 | (1924) star(one) = all_1215_2_1359
% 222.60/175.42 | (1925) multiplication(all_0_2_2, all_1215_2_1359) = all_1215_1_1358
% 222.60/175.42 |
% 222.60/175.42 +-Applying beta-rule and splitting (1015), into two cases.
% 222.60/175.42 |-Branch one:
% 222.60/175.42 | (1926) all_347_0_316 = 0 & leq(all_347_1_317, all_20_0_17) = 0 & star(one) = all_347_2_318 & multiplication(zero, all_347_2_318) = all_347_1_317
% 222.60/175.42 |
% 222.60/175.42 | Applying alpha-rule on (1926) yields:
% 222.60/175.42 | (1927) all_347_0_316 = 0
% 222.60/175.42 | (1928) leq(all_347_1_317, all_20_0_17) = 0
% 222.60/175.42 | (1929) star(one) = all_347_2_318
% 222.60/175.42 | (1930) multiplication(zero, all_347_2_318) = all_347_1_317
% 222.60/175.42 |
% 222.60/175.42 +-Applying beta-rule and splitting (1048), into two cases.
% 222.60/175.42 |-Branch one:
% 222.60/175.42 | (1931) all_391_0_371 = 0 & strong_iteration(all_49_1_36) = all_391_2_373 & leq(zero, all_391_1_372) = 0 & multiplication(all_391_2_373, all_20_0_17) = all_391_1_372
% 222.60/175.42 |
% 222.60/175.42 | Applying alpha-rule on (1931) yields:
% 222.60/175.42 | (1932) all_391_0_371 = 0
% 222.60/175.42 | (1933) strong_iteration(all_49_1_36) = all_391_2_373
% 222.60/175.42 | (1934) leq(zero, all_391_1_372) = 0
% 222.60/175.42 | (1935) multiplication(all_391_2_373, all_20_0_17) = all_391_1_372
% 222.60/175.42 |
% 222.60/175.42 +-Applying beta-rule and splitting (1652), into two cases.
% 222.60/175.42 |-Branch one:
% 222.60/175.42 | (1936) all_1219_0_1365 = 0 & strong_iteration(one) = all_1219_2_1367 & leq(all_0_2_2, all_1219_1_1366) = 0 & multiplication(all_1219_2_1367, all_0_2_2) = all_1219_1_1366
% 222.60/175.42 |
% 222.60/175.42 | Applying alpha-rule on (1936) yields:
% 222.60/175.42 | (1937) all_1219_0_1365 = 0
% 222.60/175.42 | (1938) strong_iteration(one) = all_1219_2_1367
% 222.60/175.42 | (1939) leq(all_0_2_2, all_1219_1_1366) = 0
% 222.60/175.42 | (1940) multiplication(all_1219_2_1367, all_0_2_2) = all_1219_1_1366
% 222.60/175.42 |
% 222.60/175.42 +-Applying beta-rule and splitting (1049), into two cases.
% 222.60/175.42 |-Branch one:
% 222.60/175.42 | (1941) all_392_0_374 = 0 & strong_iteration(one) = all_392_2_376 & leq(all_49_1_36, all_392_1_375) = 0 & multiplication(all_392_2_376, all_20_0_17) = all_392_1_375
% 222.60/175.42 |
% 222.60/175.42 | Applying alpha-rule on (1941) yields:
% 222.60/175.42 | (1942) all_392_0_374 = 0
% 222.60/175.42 | (1943) strong_iteration(one) = all_392_2_376
% 222.60/175.42 | (1944) leq(all_49_1_36, all_392_1_375) = 0
% 222.60/175.42 | (1945) multiplication(all_392_2_376, all_20_0_17) = all_392_1_375
% 222.60/175.42 |
% 222.60/175.42 +-Applying beta-rule and splitting (1327), into two cases.
% 222.60/175.42 |-Branch one:
% 222.60/175.42 | (1946) all_760_0_789 = 0 & leq(all_760_1_790, all_0_2_2) = 0 & star(zero) = all_760_2_791 & multiplication(all_205_0_233, all_760_2_791) = all_760_1_790
% 222.60/175.42 |
% 222.60/175.42 | Applying alpha-rule on (1946) yields:
% 222.60/175.42 | (1947) all_760_0_789 = 0
% 222.60/175.42 | (1948) leq(all_760_1_790, all_0_2_2) = 0
% 222.60/175.42 | (1949) star(zero) = all_760_2_791
% 222.60/175.42 | (1950) multiplication(all_205_0_233, all_760_2_791) = all_760_1_790
% 222.60/175.42 |
% 222.60/175.42 +-Applying beta-rule and splitting (1355), into two cases.
% 222.60/175.42 |-Branch one:
% 222.60/175.42 | (1951) all_813_0_848 = 0 & leq(all_813_1_849, zero) = 0 & star(zero) = all_813_2_850 & multiplication(zero, all_813_2_850) = all_813_1_849
% 222.60/175.42 |
% 222.60/175.42 | Applying alpha-rule on (1951) yields:
% 222.60/175.42 | (1952) all_813_0_848 = 0
% 222.60/175.43 | (1953) leq(all_813_1_849, zero) = 0
% 222.60/175.43 | (1954) star(zero) = all_813_2_850
% 222.60/175.43 | (1955) multiplication(zero, all_813_2_850) = all_813_1_849
% 222.60/175.43 |
% 222.60/175.43 +-Applying beta-rule and splitting (1308), into two cases.
% 222.60/175.43 |-Branch one:
% 222.60/175.43 | (1956) all_736_0_765 = 0 & strong_iteration(one) = all_736_2_767 & leq(zero, all_736_1_766) = 0 & multiplication(all_736_2_767, all_20_0_17) = all_736_1_766
% 222.60/175.43 |
% 222.60/175.43 | Applying alpha-rule on (1956) yields:
% 222.60/175.43 | (1957) all_736_0_765 = 0
% 222.60/175.43 | (1958) strong_iteration(one) = all_736_2_767
% 222.60/175.43 | (1959) leq(zero, all_736_1_766) = 0
% 222.60/175.43 | (1960) multiplication(all_736_2_767, all_20_0_17) = all_736_1_766
% 222.60/175.43 |
% 222.60/175.43 +-Applying beta-rule and splitting (1365), into two cases.
% 222.60/175.43 |-Branch one:
% 222.60/175.43 | (1961) all_822_0_865 = 0 & strong_iteration(all_20_1_18) = all_822_2_867 & leq(one, all_822_1_866) = 0 & multiplication(all_822_2_867, all_155_0_166) = all_822_1_866
% 222.60/175.43 |
% 222.60/175.43 | Applying alpha-rule on (1961) yields:
% 222.60/175.43 | (1962) all_822_0_865 = 0
% 222.60/175.43 | (1963) strong_iteration(all_20_1_18) = all_822_2_867
% 222.60/175.43 | (1964) leq(one, all_822_1_866) = 0
% 222.60/175.43 | (1965) multiplication(all_822_2_867, all_155_0_166) = all_822_1_866
% 222.60/175.43 |
% 222.60/175.43 | From (1658) and (1963) follows:
% 222.60/175.43 | (1966) strong_iteration(one) = all_822_2_867
% 222.60/175.43 |
% 222.60/175.43 +-Applying beta-rule and splitting (1639), into two cases.
% 222.60/175.43 |-Branch one:
% 222.60/175.43 | (1967) all_1204_0_1334 = 0 & leq(all_1204_1_1335, all_20_0_17) = 0 & star(one) = all_1204_2_1336 & multiplication(all_1204_2_1336, all_49_1_36) = all_1204_1_1335
% 222.60/175.43 |
% 222.60/175.43 | Applying alpha-rule on (1967) yields:
% 222.60/175.43 | (1968) all_1204_0_1334 = 0
% 222.60/175.43 | (1969) leq(all_1204_1_1335, all_20_0_17) = 0
% 222.60/175.43 | (1970) star(one) = all_1204_2_1336
% 222.60/175.43 | (1971) multiplication(all_1204_2_1336, all_49_1_36) = all_1204_1_1335
% 222.60/175.43 |
% 222.60/175.43 +-Applying beta-rule and splitting (1562), into two cases.
% 222.60/175.43 |-Branch one:
% 222.60/175.43 | (1972) all_1091_0_1163 = 0 & strong_iteration(one) = all_1091_2_1165 & leq(all_20_0_17, all_1091_1_1164) = 0 & multiplication(all_1091_2_1165, all_20_0_17) = all_1091_1_1164
% 222.60/175.43 |
% 222.60/175.43 | Applying alpha-rule on (1972) yields:
% 222.60/175.43 | (1973) all_1091_0_1163 = 0
% 222.60/175.43 | (1974) strong_iteration(one) = all_1091_2_1165
% 222.60/175.43 | (1975) leq(all_20_0_17, all_1091_1_1164) = 0
% 222.60/175.43 | (1976) multiplication(all_1091_2_1165, all_20_0_17) = all_1091_1_1164
% 222.60/175.43 |
% 222.60/175.43 +-Applying beta-rule and splitting (1456), into two cases.
% 222.60/175.43 |-Branch one:
% 222.60/175.43 | (1977) all_916_0_970 = 0 & leq(all_916_1_971, all_20_0_17) = 0 & star(zero) = all_916_2_972 & multiplication(zero, all_916_2_972) = all_916_1_971
% 222.60/175.43 |
% 222.60/175.43 | Applying alpha-rule on (1977) yields:
% 222.60/175.43 | (1978) all_916_0_970 = 0
% 222.60/175.43 | (1979) leq(all_916_1_971, all_20_0_17) = 0
% 222.60/175.43 | (1980) star(zero) = all_916_2_972
% 222.60/175.43 | (1981) multiplication(zero, all_916_2_972) = all_916_1_971
% 222.60/175.43 |
% 222.60/175.43 +-Applying beta-rule and splitting (1467), into two cases.
% 222.60/175.43 |-Branch one:
% 222.60/175.43 | (1982) all_929_0_985 = 0 & strong_iteration(one) = all_929_2_987 & leq(all_49_1_36, all_929_1_986) = 0 & multiplication(all_929_2_987, all_0_2_2) = all_929_1_986
% 222.60/175.43 |
% 222.60/175.43 | Applying alpha-rule on (1982) yields:
% 222.60/175.43 | (1983) all_929_0_985 = 0
% 222.60/175.43 | (1984) strong_iteration(one) = all_929_2_987
% 222.60/175.43 | (1985) leq(all_49_1_36, all_929_1_986) = 0
% 222.60/175.43 | (1986) multiplication(all_929_2_987, all_0_2_2) = all_929_1_986
% 222.60/175.43 |
% 222.60/175.43 +-Applying beta-rule and splitting (1627), into two cases.
% 222.60/175.43 |-Branch one:
% 222.60/175.43 | (1987) all_1190_0_1311 = 0 & strong_iteration(one) = all_1190_2_1313 & leq(all_20_1_18, all_1190_1_1312) = 0 & multiplication(all_1190_2_1313, all_20_1_18) = all_1190_1_1312
% 222.60/175.43 |
% 222.60/175.43 | Applying alpha-rule on (1987) yields:
% 222.60/175.43 | (1988) all_1190_0_1311 = 0
% 222.60/175.43 | (1989) strong_iteration(one) = all_1190_2_1313
% 222.60/175.43 | (1990) leq(all_20_1_18, all_1190_1_1312) = 0
% 222.60/175.43 | (1991) multiplication(all_1190_2_1313, all_20_1_18) = all_1190_1_1312
% 222.60/175.43 |
% 222.60/175.43 +-Applying beta-rule and splitting (1581), into two cases.
% 222.60/175.43 |-Branch one:
% 222.60/175.43 | (1992) all_1131_0_1227 = 0 & strong_iteration(all_20_1_18) = all_1131_2_1229 & leq(one, all_1131_1_1228) = 0 & multiplication(all_1131_2_1229, one) = all_1131_1_1228
% 222.60/175.43 |
% 222.60/175.43 | Applying alpha-rule on (1992) yields:
% 222.60/175.43 | (1993) all_1131_0_1227 = 0
% 222.60/175.43 | (1994) strong_iteration(all_20_1_18) = all_1131_2_1229
% 222.60/175.43 | (1995) leq(one, all_1131_1_1228) = 0
% 222.60/175.43 | (1996) multiplication(all_1131_2_1229, one) = all_1131_1_1228
% 222.60/175.43 |
% 222.60/175.43 | From (1658) and (1994) follows:
% 222.60/175.43 | (1997) strong_iteration(one) = all_1131_2_1229
% 222.60/175.43 |
% 222.60/175.43 +-Applying beta-rule and splitting (1557), into two cases.
% 222.60/175.43 |-Branch one:
% 222.60/175.43 | (1998) all_1087_0_1156 = 0 & leq(all_1087_1_1157, all_20_0_17) = 0 & star(one) = all_1087_2_1158 & multiplication(all_1087_2_1158, all_20_0_17) = all_1087_1_1157
% 222.60/175.43 |
% 222.60/175.43 | Applying alpha-rule on (1998) yields:
% 222.60/175.43 | (1999) all_1087_0_1156 = 0
% 222.60/175.43 | (2000) leq(all_1087_1_1157, all_20_0_17) = 0
% 222.60/175.43 | (2001) star(one) = all_1087_2_1158
% 222.60/175.43 | (2002) multiplication(all_1087_2_1158, all_20_0_17) = all_1087_1_1157
% 222.60/175.43 |
% 222.60/175.43 +-Applying beta-rule and splitting (1558), into two cases.
% 222.60/175.43 |-Branch one:
% 222.60/175.43 | (2003) all_1088_0_1159 = 0 & leq(all_1088_1_1160, all_20_0_17) = 0 & star(one) = all_1088_2_1161 & multiplication(all_20_0_17, all_1088_2_1161) = all_1088_1_1160
% 222.60/175.43 |
% 222.60/175.43 | Applying alpha-rule on (2003) yields:
% 222.60/175.43 | (2004) all_1088_0_1159 = 0
% 222.60/175.43 | (2005) leq(all_1088_1_1160, all_20_0_17) = 0
% 222.60/175.43 | (2006) star(one) = all_1088_2_1161
% 222.60/175.43 | (2007) multiplication(all_20_0_17, all_1088_2_1161) = all_1088_1_1160
% 222.60/175.43 |
% 222.60/175.43 +-Applying beta-rule and splitting (1586), into two cases.
% 222.60/175.43 |-Branch one:
% 222.60/175.43 | (2008) all_1134_0_1232 = 0 & leq(all_1134_1_1233, all_20_1_18) = 0 & star(one) = all_1134_2_1234 & multiplication(all_1134_2_1234, one) = all_1134_1_1233
% 222.60/175.43 |
% 222.60/175.43 | Applying alpha-rule on (2008) yields:
% 222.60/175.43 | (2009) all_1134_0_1232 = 0
% 222.60/175.43 | (2010) leq(all_1134_1_1233, all_20_1_18) = 0
% 222.60/175.43 | (2011) star(one) = all_1134_2_1234
% 222.60/175.43 | (2012) multiplication(all_1134_2_1234, one) = all_1134_1_1233
% 222.60/175.43 |
% 222.60/175.43 +-Applying beta-rule and splitting (1566), into two cases.
% 222.60/175.43 |-Branch one:
% 222.60/175.43 | (2013) all_1101_0_1183 = 0 & strong_iteration(one) = all_1101_2_1185 & leq(all_49_1_36, all_1101_1_1184) = 0 & multiplication(all_1101_2_1185, all_178_0_198) = all_1101_1_1184
% 222.60/175.43 |
% 222.60/175.43 | Applying alpha-rule on (2013) yields:
% 222.60/175.43 | (2014) all_1101_0_1183 = 0
% 222.60/175.43 | (2015) strong_iteration(one) = all_1101_2_1185
% 222.60/175.43 | (2016) leq(all_49_1_36, all_1101_1_1184) = 0
% 222.60/175.43 | (2017) multiplication(all_1101_2_1185, all_178_0_198) = all_1101_1_1184
% 222.60/175.43 |
% 222.60/175.43 +-Applying beta-rule and splitting (1579), into two cases.
% 222.60/175.43 |-Branch one:
% 222.60/175.43 | (2018) all_1129_0_1221 = 0 & leq(all_1129_1_1222, one) = 0 & star(all_20_1_18) = all_1129_2_1223 & multiplication(one, all_1129_2_1223) = all_1129_1_1222
% 222.60/175.43 |
% 222.60/175.43 | Applying alpha-rule on (2018) yields:
% 222.60/175.43 | (2019) all_1129_0_1221 = 0
% 222.60/175.43 | (2020) leq(all_1129_1_1222, one) = 0
% 222.60/175.43 | (2021) star(all_20_1_18) = all_1129_2_1223
% 222.60/175.43 | (2022) multiplication(one, all_1129_2_1223) = all_1129_1_1222
% 222.60/175.43 |
% 222.60/175.43 | From (1658) and (2021) follows:
% 222.60/175.43 | (2023) star(one) = all_1129_2_1223
% 222.60/175.43 |
% 222.60/175.43 +-Applying beta-rule and splitting (1594), into two cases.
% 222.60/175.43 |-Branch one:
% 222.60/175.43 | (2024) all_1143_0_1244 = 0 & leq(all_1143_1_1245, zero) = 0 & star(zero) = all_1143_2_1246 & multiplication(all_1143_2_1246, zero) = all_1143_1_1245
% 222.60/175.43 |
% 222.60/175.43 | Applying alpha-rule on (2024) yields:
% 222.60/175.43 | (2025) all_1143_0_1244 = 0
% 222.60/175.43 | (2026) leq(all_1143_1_1245, zero) = 0
% 222.60/175.43 | (2027) star(zero) = all_1143_2_1246
% 222.60/175.43 | (2028) multiplication(all_1143_2_1246, zero) = all_1143_1_1245
% 222.60/175.43 |
% 222.60/175.43 +-Applying beta-rule and splitting (1595), into two cases.
% 222.60/175.43 |-Branch one:
% 222.60/175.43 | (2029) all_1144_0_1247 = 0 & leq(all_1144_1_1248, all_0_2_2) = 0 & star(one) = all_1144_2_1249 & multiplication(zero, all_1144_2_1249) = all_1144_1_1248
% 222.60/175.43 |
% 222.60/175.43 | Applying alpha-rule on (2029) yields:
% 222.60/175.43 | (2030) all_1144_0_1247 = 0
% 222.60/175.43 | (2031) leq(all_1144_1_1248, all_0_2_2) = 0
% 222.60/175.43 | (2032) star(one) = all_1144_2_1249
% 222.60/175.43 | (2033) multiplication(zero, all_1144_2_1249) = all_1144_1_1248
% 222.60/175.43 |
% 222.60/175.43 +-Applying beta-rule and splitting (1621), into two cases.
% 222.60/175.43 |-Branch one:
% 222.60/175.43 | (2034) all_1186_0_1303 = 0 & leq(all_1186_1_1304, one) = 0 & star(all_20_1_18) = all_1186_2_1305 & multiplication(all_20_1_18, all_1186_2_1305) = all_1186_1_1304
% 222.60/175.44 |
% 222.60/175.44 | Applying alpha-rule on (2034) yields:
% 222.60/175.44 | (2035) all_1186_0_1303 = 0
% 222.60/175.44 | (2036) leq(all_1186_1_1304, one) = 0
% 222.60/175.44 | (2037) star(all_20_1_18) = all_1186_2_1305
% 222.60/175.44 | (2038) multiplication(all_20_1_18, all_1186_2_1305) = all_1186_1_1304
% 222.60/175.44 |
% 222.60/175.44 | From (1658) and (2037) follows:
% 222.60/175.44 | (2039) star(one) = all_1186_2_1305
% 222.60/175.44 |
% 222.60/175.44 +-Applying beta-rule and splitting (1651), into two cases.
% 222.60/175.44 |-Branch one:
% 222.60/175.44 | (2040) all_1218_0_1362 = 0 & leq(all_1218_1_1363, all_0_2_2) = 0 & star(one) = all_1218_2_1364 & multiplication(all_1218_2_1364, all_0_2_2) = all_1218_1_1363
% 222.60/175.44 |
% 222.60/175.44 | Applying alpha-rule on (2040) yields:
% 222.60/175.44 | (2041) all_1218_0_1362 = 0
% 222.60/175.44 | (2042) leq(all_1218_1_1363, all_0_2_2) = 0
% 222.60/175.44 | (2043) star(one) = all_1218_2_1364
% 222.60/175.44 | (2044) multiplication(all_1218_2_1364, all_0_2_2) = all_1218_1_1363
% 222.60/175.44 |
% 222.60/175.44 | Instantiating formula (29) with one, all_1219_2_1367, all_0_2_2 and discharging atoms strong_iteration(one) = all_1219_2_1367, strong_iteration(one) = all_0_2_2, yields:
% 222.60/175.44 | (2045) all_1219_2_1367 = all_0_2_2
% 222.60/175.44 |
% 222.60/175.44 | Instantiating formula (29) with one, all_1205_2_1339, all_1210_2_1354 and discharging atoms strong_iteration(one) = all_1210_2_1354, strong_iteration(one) = all_1205_2_1339, yields:
% 222.60/175.44 | (2046) all_1210_2_1354 = all_1205_2_1339
% 222.60/175.44 |
% 222.60/175.44 | Instantiating formula (29) with one, all_1135_2_1237, all_1190_2_1313 and discharging atoms strong_iteration(one) = all_1190_2_1313, strong_iteration(one) = all_1135_2_1237, yields:
% 222.60/175.44 | (2047) all_1190_2_1313 = all_1135_2_1237
% 222.60/175.44 |
% 222.60/175.44 | Instantiating formula (29) with one, all_1131_2_1229, all_1210_2_1354 and discharging atoms strong_iteration(one) = all_1210_2_1354, strong_iteration(one) = all_1131_2_1229, yields:
% 222.60/175.44 | (2048) all_1210_2_1354 = all_1131_2_1229
% 222.60/175.44 |
% 222.60/175.44 | Instantiating formula (29) with one, all_1091_2_1165, all_1219_2_1367 and discharging atoms strong_iteration(one) = all_1219_2_1367, strong_iteration(one) = all_1091_2_1165, yields:
% 222.60/175.44 | (2049) all_1219_2_1367 = all_1091_2_1165
% 222.60/175.44 |
% 222.60/175.44 | Instantiating formula (29) with one, all_929_2_987, all_1190_2_1313 and discharging atoms strong_iteration(one) = all_1190_2_1313, strong_iteration(one) = all_929_2_987, yields:
% 222.60/175.44 | (2050) all_1190_2_1313 = all_929_2_987
% 222.60/175.44 |
% 222.60/175.44 | Instantiating formula (29) with one, all_822_2_867, all_1205_2_1339 and discharging atoms strong_iteration(one) = all_1205_2_1339, strong_iteration(one) = all_822_2_867, yields:
% 222.60/175.44 | (2051) all_1205_2_1339 = all_822_2_867
% 222.60/175.44 |
% 222.60/175.44 | Instantiating formula (29) with one, all_818_2_855, all_1205_2_1339 and discharging atoms strong_iteration(one) = all_1205_2_1339, strong_iteration(one) = all_818_2_855, yields:
% 222.60/175.44 | (2052) all_1205_2_1339 = all_818_2_855
% 222.60/175.44 |
% 222.60/175.44 | Instantiating formula (29) with one, all_736_2_767, all_818_2_855 and discharging atoms strong_iteration(one) = all_818_2_855, strong_iteration(one) = all_736_2_767, yields:
% 222.60/175.44 | (2053) all_818_2_855 = all_736_2_767
% 222.60/175.44 |
% 222.60/175.44 | Instantiating formula (29) with one, all_658_2_659, all_929_2_987 and discharging atoms strong_iteration(one) = all_929_2_987, strong_iteration(one) = all_658_2_659, yields:
% 222.60/175.44 | (2054) all_929_2_987 = all_658_2_659
% 222.60/175.44 |
% 222.60/175.44 | Instantiating formula (29) with one, all_658_2_659, all_736_2_767 and discharging atoms strong_iteration(one) = all_736_2_767, strong_iteration(one) = all_658_2_659, yields:
% 222.60/175.44 | (2055) all_736_2_767 = all_658_2_659
% 222.60/175.44 |
% 222.60/175.44 | Instantiating formula (29) with one, all_655_2_655, all_1190_2_1313 and discharging atoms strong_iteration(one) = all_1190_2_1313, strong_iteration(one) = all_655_2_655, yields:
% 222.60/175.44 | (2056) all_1190_2_1313 = all_655_2_655
% 222.60/175.44 |
% 222.60/175.44 | Instantiating formula (29) with one, all_614_2_607, all_1101_2_1185 and discharging atoms strong_iteration(one) = all_1101_2_1185, strong_iteration(one) = all_614_2_607, yields:
% 222.60/175.44 | (2057) all_1101_2_1185 = all_614_2_607
% 222.60/175.44 |
% 222.60/175.44 | Instantiating formula (29) with one, all_614_2_607, all_929_2_987 and discharging atoms strong_iteration(one) = all_929_2_987, strong_iteration(one) = all_614_2_607, yields:
% 222.60/175.44 | (2058) all_929_2_987 = all_614_2_607
% 222.60/175.44 |
% 222.60/175.44 | Instantiating formula (29) with one, all_606_2_587, all_1101_2_1185 and discharging atoms strong_iteration(one) = all_1101_2_1185, strong_iteration(one) = all_606_2_587, yields:
% 222.60/175.44 | (2059) all_1101_2_1185 = all_606_2_587
% 222.60/175.44 |
% 222.60/175.44 | Instantiating formula (29) with one, all_528_2_501, all_1101_2_1185 and discharging atoms strong_iteration(one) = all_1101_2_1185, strong_iteration(one) = all_528_2_501, yields:
% 222.60/175.44 | (2060) all_1101_2_1185 = all_528_2_501
% 222.60/175.44 |
% 222.60/175.44 | Instantiating formula (29) with one, all_459_2_442, all_1205_2_1339 and discharging atoms strong_iteration(one) = all_1205_2_1339, strong_iteration(one) = all_459_2_442, yields:
% 222.60/175.44 | (2061) all_1205_2_1339 = all_459_2_442
% 222.60/175.44 |
% 222.60/175.44 | Instantiating formula (29) with one, all_447_2_426, all_1219_2_1367 and discharging atoms strong_iteration(one) = all_1219_2_1367, strong_iteration(one) = all_447_2_426, yields:
% 222.60/175.44 | (2062) all_1219_2_1367 = all_447_2_426
% 222.60/175.44 |
% 222.60/175.44 | Instantiating formula (29) with one, all_402_2_386, all_1091_2_1165 and discharging atoms strong_iteration(one) = all_1091_2_1165, strong_iteration(one) = all_402_2_386, yields:
% 222.60/175.44 | (2063) all_1091_2_1165 = all_402_2_386
% 222.60/175.44 |
% 222.60/175.44 | Instantiating formula (29) with one, all_392_2_376, all_528_2_501 and discharging atoms strong_iteration(one) = all_528_2_501, strong_iteration(one) = all_392_2_376, yields:
% 222.60/175.44 | (2064) all_528_2_501 = all_392_2_376
% 222.60/175.44 |
% 222.60/175.44 | Instantiating formula (29) with one, all_184_2_210, all_528_2_501 and discharging atoms strong_iteration(one) = all_528_2_501, strong_iteration(one) = all_184_2_210, yields:
% 222.60/175.44 | (2065) all_528_2_501 = all_184_2_210
% 222.60/175.44 |
% 222.60/175.44 | Instantiating formula (29) with one, all_110_2_102, all_1091_2_1165 and discharging atoms strong_iteration(one) = all_1091_2_1165, strong_iteration(one) = all_110_2_102, yields:
% 222.60/175.44 | (2066) all_1091_2_1165 = all_110_2_102
% 222.60/175.44 |
% 222.60/175.44 | Instantiating formula (29) with one, all_110_2_102, all_392_2_376 and discharging atoms strong_iteration(one) = all_392_2_376, strong_iteration(one) = all_110_2_102, yields:
% 222.60/175.44 | (2067) all_392_2_376 = all_110_2_102
% 222.60/175.44 |
% 222.60/175.44 | Instantiating formula (29) with one, all_110_2_102, all_183_2_207 and discharging atoms strong_iteration(one) = all_183_2_207, strong_iteration(one) = all_110_2_102, yields:
% 222.60/175.44 | (2068) all_183_2_207 = all_110_2_102
% 222.60/175.44 |
% 222.60/175.44 | Instantiating formula (29) with one, all_87_2_64, all_392_2_376 and discharging atoms strong_iteration(one) = all_392_2_376, strong_iteration(one) = all_87_2_64, yields:
% 222.60/175.44 | (2069) all_392_2_376 = all_87_2_64
% 222.60/175.44 |
% 222.60/175.44 | Instantiating formula (29) with one, all_82_2_54, all_183_2_207 and discharging atoms strong_iteration(one) = all_183_2_207, strong_iteration(one) = all_82_2_54, yields:
% 222.60/175.44 | (2070) all_183_2_207 = all_82_2_54
% 222.60/175.44 |
% 222.60/175.44 | Instantiating formula (29) with one, all_41_2_26, all_183_2_207 and discharging atoms strong_iteration(one) = all_183_2_207, strong_iteration(one) = all_41_2_26, yields:
% 222.60/175.44 | (2071) all_183_2_207 = all_41_2_26
% 222.60/175.44 |
% 222.60/175.44 | Instantiating formula (29) with zero, all_827_2_877, all_828_2_880 and discharging atoms strong_iteration(zero) = all_828_2_880, strong_iteration(zero) = all_827_2_877, yields:
% 222.60/175.44 | (2072) all_828_2_880 = all_827_2_877
% 222.60/175.44 |
% 222.60/175.44 | Instantiating formula (29) with zero, all_720_2_743, all_828_2_880 and discharging atoms strong_iteration(zero) = all_828_2_880, strong_iteration(zero) = all_720_2_743, yields:
% 222.60/175.44 | (2073) all_828_2_880 = all_720_2_743
% 222.60/175.44 |
% 222.60/175.44 | Instantiating formula (31) with one, all_1209_2_1351, all_1215_2_1359 and discharging atoms star(one) = all_1215_2_1359, star(one) = all_1209_2_1351, yields:
% 222.60/175.44 | (2074) all_1215_2_1359 = all_1209_2_1351
% 222.60/175.44 |
% 222.60/175.44 | Instantiating formula (31) with one, all_1204_2_1336, all_1209_2_1351 and discharging atoms star(one) = all_1209_2_1351, star(one) = all_1204_2_1336, yields:
% 222.60/175.44 | (2075) all_1209_2_1351 = all_1204_2_1336
% 222.60/175.44 |
% 222.60/175.44 | Instantiating formula (31) with one, all_1189_2_1310, all_1204_2_1336 and discharging atoms star(one) = all_1204_2_1336, star(one) = all_1189_2_1310, yields:
% 222.60/175.44 | (2076) all_1204_2_1336 = all_1189_2_1310
% 222.60/175.44 |
% 222.60/175.44 | Instantiating formula (31) with one, all_1186_2_1305, all_1189_2_1310 and discharging atoms star(one) = all_1189_2_1310, star(one) = all_1186_2_1305, yields:
% 222.60/175.44 | (2077) all_1189_2_1310 = all_1186_2_1305
% 222.60/175.44 |
% 222.60/175.44 | Instantiating formula (31) with one, all_1144_2_1249, all_1186_2_1305 and discharging atoms star(one) = all_1186_2_1305, star(one) = all_1144_2_1249, yields:
% 222.60/175.44 | (2078) all_1186_2_1305 = all_1144_2_1249
% 222.60/175.44 |
% 222.60/175.44 | Instantiating formula (31) with one, all_1134_2_1234, all_1144_2_1249 and discharging atoms star(one) = all_1144_2_1249, star(one) = all_1134_2_1234, yields:
% 222.60/175.44 | (2079) all_1144_2_1249 = all_1134_2_1234
% 222.60/175.44 |
% 222.60/175.44 | Instantiating formula (31) with one, all_1129_2_1223, all_1218_2_1364 and discharging atoms star(one) = all_1218_2_1364, star(one) = all_1129_2_1223, yields:
% 222.60/175.44 | (2080) all_1218_2_1364 = all_1129_2_1223
% 222.60/175.44 |
% 222.60/175.44 | Instantiating formula (31) with one, all_1087_2_1158, all_1088_2_1161 and discharging atoms star(one) = all_1088_2_1161, star(one) = all_1087_2_1158, yields:
% 222.60/175.44 | (2081) all_1088_2_1161 = all_1087_2_1158
% 222.60/175.44 |
% 222.60/175.44 | Instantiating formula (31) with one, all_1018_2_1094, all_1130_2_1226 and discharging atoms star(one) = all_1130_2_1226, star(one) = all_1018_2_1094, yields:
% 222.60/175.44 | (2082) all_1130_2_1226 = all_1018_2_1094
% 222.60/175.44 |
% 222.60/175.44 | Instantiating formula (31) with one, all_1018_2_1094, all_1087_2_1158 and discharging atoms star(one) = all_1087_2_1158, star(one) = all_1018_2_1094, yields:
% 222.60/175.44 | (2083) all_1087_2_1158 = all_1018_2_1094
% 222.60/175.44 |
% 222.60/175.44 | Instantiating formula (31) with one, all_978_2_1053, all_1088_2_1161 and discharging atoms star(one) = all_1088_2_1161, star(one) = all_978_2_1053, yields:
% 222.60/175.44 | (2084) all_1088_2_1161 = all_978_2_1053
% 222.60/175.44 |
% 222.60/175.44 | Instantiating formula (31) with one, all_820_2_861, all_1018_2_1094 and discharging atoms star(one) = all_1018_2_1094, star(one) = all_820_2_861, yields:
% 222.60/175.44 | (2085) all_1018_2_1094 = all_820_2_861
% 222.60/175.44 |
% 222.60/175.44 | Instantiating formula (31) with one, all_579_2_556, all_1129_2_1223 and discharging atoms star(one) = all_1129_2_1223, star(one) = all_579_2_556, yields:
% 222.60/175.44 | (2086) all_1129_2_1223 = all_579_2_556
% 222.60/175.44 |
% 222.60/175.44 | Instantiating formula (31) with one, all_579_2_556, all_1018_2_1094 and discharging atoms star(one) = all_1018_2_1094, star(one) = all_579_2_556, yields:
% 222.60/175.44 | (2087) all_1018_2_1094 = all_579_2_556
% 222.60/175.44 |
% 222.60/175.44 | Instantiating formula (31) with one, all_458_2_439, all_579_2_556 and discharging atoms star(one) = all_579_2_556, star(one) = all_458_2_439, yields:
% 222.60/175.44 | (2088) all_579_2_556 = all_458_2_439
% 222.60/175.44 |
% 222.60/175.44 | Instantiating formula (31) with one, all_445_1_423, all_1130_2_1226 and discharging atoms star(one) = all_1130_2_1226, star(one) = all_445_1_423, yields:
% 222.60/175.44 | (2089) all_1130_2_1226 = all_445_1_423
% 222.60/175.44 |
% 222.60/175.44 | Instantiating formula (31) with one, all_379_2_354, all_1134_2_1234 and discharging atoms star(one) = all_1134_2_1234, star(one) = all_379_2_354, yields:
% 222.60/175.44 | (2090) all_1134_2_1234 = all_379_2_354
% 222.60/175.44 |
% 222.60/175.44 | Instantiating formula (31) with one, all_379_2_354, all_458_2_439 and discharging atoms star(one) = all_458_2_439, star(one) = all_379_2_354, yields:
% 222.60/175.44 | (2091) all_458_2_439 = all_379_2_354
% 222.60/175.44 |
% 222.60/175.44 | Instantiating formula (31) with one, all_347_2_318, all_458_2_439 and discharging atoms star(one) = all_458_2_439, star(one) = all_347_2_318, yields:
% 222.60/175.44 | (2092) all_458_2_439 = all_347_2_318
% 222.60/175.44 |
% 222.60/175.44 | Instantiating formula (31) with one, all_146_2_151, all_579_2_556 and discharging atoms star(one) = all_579_2_556, star(one) = all_146_2_151, yields:
% 222.60/175.44 | (2093) all_579_2_556 = all_146_2_151
% 222.60/175.44 |
% 222.60/175.44 | Instantiating formula (31) with one, all_40_2_23, all_1215_2_1359 and discharging atoms star(one) = all_1215_2_1359, star(one) = all_40_2_23, yields:
% 222.60/175.44 | (2094) all_1215_2_1359 = all_40_2_23
% 222.60/175.44 |
% 222.60/175.44 | Instantiating formula (31) with one, one, all_1218_2_1364 and discharging atoms star(one) = all_1218_2_1364, star(one) = one, yields:
% 222.60/175.44 | (2095) all_1218_2_1364 = one
% 222.60/175.44 |
% 222.60/175.44 | Instantiating formula (31) with zero, all_1058_2_1125, all_1143_2_1246 and discharging atoms star(zero) = all_1143_2_1246, star(zero) = all_1058_2_1125, yields:
% 222.60/175.44 | (2096) all_1143_2_1246 = all_1058_2_1125
% 222.60/175.44 |
% 222.60/175.44 | Instantiating formula (31) with zero, all_1000_2_1079, all_1143_2_1246 and discharging atoms star(zero) = all_1143_2_1246, star(zero) = all_1000_2_1079, yields:
% 222.60/175.44 | (2097) all_1143_2_1246 = all_1000_2_1079
% 222.60/175.44 |
% 222.60/175.44 | Instantiating formula (31) with zero, all_916_2_972, all_1143_2_1246 and discharging atoms star(zero) = all_1143_2_1246, star(zero) = all_916_2_972, yields:
% 222.60/175.44 | (2098) all_1143_2_1246 = all_916_2_972
% 222.60/175.44 |
% 222.60/175.44 | Instantiating formula (31) with zero, all_813_2_850, all_1000_2_1079 and discharging atoms star(zero) = all_1000_2_1079, star(zero) = all_813_2_850, yields:
% 222.60/175.44 | (2099) all_1000_2_1079 = all_813_2_850
% 222.60/175.44 |
% 222.60/175.44 | Instantiating formula (31) with zero, all_760_2_791, all_1000_2_1079 and discharging atoms star(zero) = all_1000_2_1079, star(zero) = all_760_2_791, yields:
% 222.60/175.44 | (2100) all_1000_2_1079 = all_760_2_791
% 222.60/175.44 |
% 222.60/175.44 | Instantiating formula (31) with zero, all_177_2_197, all_1000_2_1079 and discharging atoms star(zero) = all_1000_2_1079, star(zero) = all_177_2_197, yields:
% 222.60/175.44 | (2101) all_1000_2_1079 = all_177_2_197
% 222.60/175.44 |
% 222.60/175.44 | Instantiating formula (19) with all_110_2_102, all_20_0_17, all_1079_0_1151, all_1202_1_1333 and discharging atoms multiplication(all_110_2_102, all_20_0_17) = all_1202_1_1333, multiplication(all_110_2_102, all_20_0_17) = all_1079_0_1151, yields:
% 222.60/175.44 | (2102) all_1202_1_1333 = all_1079_0_1151
% 222.60/175.44 |
% 222.60/175.44 | Instantiating formula (19) with all_110_2_102, all_20_0_17, all_1079_1_1152, all_1079_0_1151 and discharging atoms multiplication(all_110_2_102, all_20_0_17) = all_1079_0_1151, multiplication(all_110_2_102, all_20_0_17) = all_1079_1_1152, yields:
% 222.60/175.45 | (2103) all_1079_0_1151 = all_1079_1_1152
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with all_110_2_102, all_20_0_17, all_1045_0_1108, all_1079_1_1152 and discharging atoms multiplication(all_110_2_102, all_20_0_17) = all_1079_1_1152, multiplication(all_110_2_102, all_20_0_17) = all_1045_0_1108, yields:
% 222.60/175.45 | (2104) all_1079_1_1152 = all_1045_0_1108
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with all_110_2_102, all_20_0_17, all_932_1_990, all_1045_0_1108 and discharging atoms multiplication(all_110_2_102, all_20_0_17) = all_1045_0_1108, multiplication(all_110_2_102, all_20_0_17) = all_932_1_990, yields:
% 222.60/175.45 | (2105) all_1045_0_1108 = all_932_1_990
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with all_110_2_102, all_20_0_17, all_918_1_977, all_932_1_990 and discharging atoms multiplication(all_110_2_102, all_20_0_17) = all_932_1_990, multiplication(all_110_2_102, all_20_0_17) = all_918_1_977, yields:
% 222.60/175.45 | (2106) all_932_1_990 = all_918_1_977
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with all_110_2_102, all_20_0_17, all_837_1_886, all_918_1_977 and discharging atoms multiplication(all_110_2_102, all_20_0_17) = all_918_1_977, multiplication(all_110_2_102, all_20_0_17) = all_837_1_886, yields:
% 222.60/175.45 | (2107) all_918_1_977 = all_837_1_886
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with all_110_2_102, all_20_0_17, all_837_1_886, all_840_0_890 and discharging atoms multiplication(all_110_2_102, all_20_0_17) = all_840_0_890, multiplication(all_110_2_102, all_20_0_17) = all_837_1_886, yields:
% 222.60/175.45 | (2108) all_840_0_890 = all_837_1_886
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with all_110_2_102, all_20_0_17, all_533_0_504, all_840_0_890 and discharging atoms multiplication(all_110_2_102, all_20_0_17) = all_840_0_890, multiplication(all_110_2_102, all_20_0_17) = all_533_0_504, yields:
% 222.60/175.45 | (2109) all_840_0_890 = all_533_0_504
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with all_110_2_102, all_20_0_17, all_387_0_367, all_840_0_890 and discharging atoms multiplication(all_110_2_102, all_20_0_17) = all_840_0_890, multiplication(all_110_2_102, all_20_0_17) = all_387_0_367, yields:
% 222.60/175.45 | (2110) all_840_0_890 = all_387_0_367
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with all_110_2_102, all_20_0_17, all_307_0_277, all_110_1_101 and discharging atoms multiplication(all_110_2_102, all_20_0_17) = all_307_0_277, multiplication(all_110_2_102, all_20_0_17) = all_110_1_101, yields:
% 222.60/175.45 | (2111) all_307_0_277 = all_110_1_101
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with all_110_2_102, all_20_0_17, all_307_0_277, all_840_0_890 and discharging atoms multiplication(all_110_2_102, all_20_0_17) = all_840_0_890, multiplication(all_110_2_102, all_20_0_17) = all_307_0_277, yields:
% 222.60/175.45 | (2112) all_840_0_890 = all_307_0_277
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with all_110_2_102, all_20_0_17, all_304_0_273, all_1202_1_1333 and discharging atoms multiplication(all_110_2_102, all_20_0_17) = all_1202_1_1333, multiplication(all_110_2_102, all_20_0_17) = all_304_0_273, yields:
% 222.60/175.45 | (2113) all_1202_1_1333 = all_304_0_273
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with all_110_2_102, one, all_922_0_979, all_932_0_989 and discharging atoms multiplication(all_110_2_102, one) = all_932_0_989, multiplication(all_110_2_102, one) = all_922_0_979, yields:
% 222.60/175.45 | (2114) all_932_0_989 = all_922_0_979
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with all_110_2_102, one, all_573_0_550, all_922_0_979 and discharging atoms multiplication(all_110_2_102, one) = all_922_0_979, multiplication(all_110_2_102, one) = all_573_0_550, yields:
% 222.60/175.45 | (2115) all_922_0_979 = all_573_0_550
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with all_110_2_102, one, all_533_1_505, all_573_0_550 and discharging atoms multiplication(all_110_2_102, one) = all_573_0_550, multiplication(all_110_2_102, one) = all_533_1_505, yields:
% 222.60/175.45 | (2116) all_573_0_550 = all_533_1_505
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (2) with all_533_1_505, all_110_2_102 and discharging atoms multiplication(all_110_2_102, one) = all_533_1_505, yields:
% 222.60/175.45 | (2117) all_533_1_505 = all_110_2_102
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with all_110_2_102, one, all_405_0_388, all_932_0_989 and discharging atoms multiplication(all_110_2_102, one) = all_932_0_989, multiplication(all_110_2_102, one) = all_405_0_388, yields:
% 222.60/175.45 | (2118) all_932_0_989 = all_405_0_388
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (2) with all_41_1_25, all_41_2_26 and discharging atoms multiplication(all_41_2_26, one) = all_41_1_25, yields:
% 222.60/175.45 | (2119) all_41_1_25 = all_41_2_26
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with all_20_0_17, all_0_2_2, all_850_1_899, all_910_0_956 and discharging atoms multiplication(all_20_0_17, all_0_2_2) = all_910_0_956, multiplication(all_20_0_17, all_0_2_2) = all_850_1_899, yields:
% 222.60/175.45 | (2120) all_910_0_956 = all_850_1_899
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with all_20_0_17, all_0_2_2, all_769_1_799, all_910_0_956 and discharging atoms multiplication(all_20_0_17, all_0_2_2) = all_910_0_956, multiplication(all_20_0_17, all_0_2_2) = all_769_1_799, yields:
% 222.60/175.45 | (2121) all_910_0_956 = all_769_1_799
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with all_20_0_17, all_0_2_2, all_293_0_259, all_850_1_899 and discharging atoms multiplication(all_20_0_17, all_0_2_2) = all_850_1_899, multiplication(all_20_0_17, all_0_2_2) = all_293_0_259, yields:
% 222.60/175.45 | (2122) all_850_1_899 = all_293_0_259
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with all_20_0_17, zero, all_778_1_817, all_842_1_893 and discharging atoms multiplication(all_20_0_17, zero) = all_842_1_893, multiplication(all_20_0_17, zero) = all_778_1_817, yields:
% 222.60/175.45 | (2123) all_842_1_893 = all_778_1_817
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with all_20_0_17, zero, all_714_1_728, all_938_1_994 and discharging atoms multiplication(all_20_0_17, zero) = all_938_1_994, multiplication(all_20_0_17, zero) = all_714_1_728, yields:
% 222.60/175.45 | (2124) all_938_1_994 = all_714_1_728
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with all_20_0_17, zero, all_714_1_728, all_778_1_817 and discharging atoms multiplication(all_20_0_17, zero) = all_778_1_817, multiplication(all_20_0_17, zero) = all_714_1_728, yields:
% 222.60/175.45 | (2125) all_778_1_817 = all_714_1_728
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with all_20_0_17, zero, all_612_0_603, all_842_1_893 and discharging atoms multiplication(all_20_0_17, zero) = all_842_1_893, multiplication(all_20_0_17, zero) = all_612_0_603, yields:
% 222.60/175.45 | (2126) all_842_1_893 = all_612_0_603
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with all_20_0_17, zero, all_358_0_330, all_20_0_17 and discharging atoms multiplication(all_20_0_17, zero) = all_358_0_330, multiplication(all_20_0_17, zero) = all_20_0_17, yields:
% 222.60/175.45 | (2127) all_358_0_330 = all_20_0_17
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with all_20_0_17, zero, all_358_0_330, all_778_1_817 and discharging atoms multiplication(all_20_0_17, zero) = all_778_1_817, multiplication(all_20_0_17, zero) = all_358_0_330, yields:
% 222.60/175.45 | (2128) all_778_1_817 = all_358_0_330
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with all_20_0_17, zero, all_287_0_254, all_938_1_994 and discharging atoms multiplication(all_20_0_17, zero) = all_938_1_994, multiplication(all_20_0_17, zero) = all_287_0_254, yields:
% 222.60/175.45 | (2129) all_938_1_994 = all_287_0_254
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with all_0_2_2, all_20_0_17, all_767_1_797, all_848_1_897 and discharging atoms multiplication(all_0_2_2, all_20_0_17) = all_848_1_897, multiplication(all_0_2_2, all_20_0_17) = all_767_1_797, yields:
% 222.60/175.45 | (2130) all_848_1_897 = all_767_1_797
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with all_0_2_2, all_20_0_17, all_679_0_690, all_848_1_897 and discharging atoms multiplication(all_0_2_2, all_20_0_17) = all_848_1_897, multiplication(all_0_2_2, all_20_0_17) = all_679_0_690, yields:
% 222.60/175.45 | (2131) all_848_1_897 = all_679_0_690
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with all_0_2_2, all_20_0_17, all_291_0_257, all_767_1_797 and discharging atoms multiplication(all_0_2_2, all_20_0_17) = all_767_1_797, multiplication(all_0_2_2, all_20_0_17) = all_291_0_257, yields:
% 222.60/175.45 | (2132) all_767_1_797 = all_291_0_257
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with all_0_2_2, all_0_2_2, all_1216_1_1361, all_1216_0_1360 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_1216_0_1360, multiplication(all_0_2_2, all_0_2_2) = all_1216_1_1361, yields:
% 222.60/175.45 | (2133) all_1216_0_1360 = all_1216_1_1361
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with all_0_2_2, all_0_2_2, all_1165_1_1263, all_1216_1_1361 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_1216_1_1361, multiplication(all_0_2_2, all_0_2_2) = all_1165_1_1263, yields:
% 222.60/175.45 | (2134) all_1216_1_1361 = all_1165_1_1263
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with all_0_2_2, all_0_2_2, all_872_0_919, all_1145_1_1251 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_1145_1_1251, multiplication(all_0_2_2, all_0_2_2) = all_872_0_919, yields:
% 222.60/175.45 | (2135) all_1145_1_1251 = all_872_0_919
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with all_0_2_2, all_0_2_2, all_689_1_700, all_872_0_919 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_872_0_919, multiplication(all_0_2_2, all_0_2_2) = all_689_1_700, yields:
% 222.60/175.45 | (2136) all_872_0_919 = all_689_1_700
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with all_0_2_2, all_0_2_2, all_687_1_698, all_127_1_122 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_687_1_698, multiplication(all_0_2_2, all_0_2_2) = all_127_1_122, yields:
% 222.60/175.45 | (2137) all_687_1_698 = all_127_1_122
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with all_0_2_2, all_0_2_2, all_671_0_683, all_1145_1_1251 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_1145_1_1251, multiplication(all_0_2_2, all_0_2_2) = all_671_0_683, yields:
% 222.60/175.45 | (2138) all_1145_1_1251 = all_671_0_683
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with all_0_2_2, all_0_2_2, all_669_0_681, all_1165_1_1263 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_1165_1_1263, multiplication(all_0_2_2, all_0_2_2) = all_669_0_681, yields:
% 222.60/175.45 | (2139) all_1165_1_1263 = all_669_0_681
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with all_0_2_2, all_0_2_2, all_443_0_421, all_872_0_919 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_872_0_919, multiplication(all_0_2_2, all_0_2_2) = all_443_0_421, yields:
% 222.60/175.45 | (2140) all_872_0_919 = all_443_0_421
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with all_0_2_2, all_0_2_2, all_443_0_421, all_687_1_698 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_687_1_698, multiplication(all_0_2_2, all_0_2_2) = all_443_0_421, yields:
% 222.60/175.45 | (2141) all_687_1_698 = all_443_0_421
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with all_0_2_2, all_0_2_2, all_443_0_421, all_669_0_681 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_669_0_681, multiplication(all_0_2_2, all_0_2_2) = all_443_0_421, yields:
% 222.60/175.45 | (2142) all_669_0_681 = all_443_0_421
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with all_0_2_2, all_0_2_2, all_327_0_295, all_689_1_700 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_689_1_700, multiplication(all_0_2_2, all_0_2_2) = all_327_0_295, yields:
% 222.60/175.45 | (2143) all_689_1_700 = all_327_0_295
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with all_0_2_2, all_0_2_2, all_325_0_293, all_1216_0_1360 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_1216_0_1360, multiplication(all_0_2_2, all_0_2_2) = all_325_0_293, yields:
% 222.60/175.45 | (2144) all_1216_0_1360 = all_325_0_293
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with all_0_2_2, one, all_1181_1_1297, all_1181_0_1296 and discharging atoms multiplication(all_0_2_2, one) = all_1181_0_1296, multiplication(all_0_2_2, one) = all_1181_1_1297, yields:
% 222.60/175.45 | (2145) all_1181_0_1296 = all_1181_1_1297
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with all_0_2_2, one, all_1015_0_1087, all_1181_1_1297 and discharging atoms multiplication(all_0_2_2, one) = all_1181_1_1297, multiplication(all_0_2_2, one) = all_1015_0_1087, yields:
% 222.60/175.45 | (2146) all_1181_1_1297 = all_1015_0_1087
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with all_0_2_2, one, all_1015_0_1087, all_1147_1_1253 and discharging atoms multiplication(all_0_2_2, one) = all_1147_1_1253, multiplication(all_0_2_2, one) = all_1015_0_1087, yields:
% 222.60/175.45 | (2147) all_1147_1_1253 = all_1015_0_1087
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with all_0_2_2, one, all_1015_1_1088, all_1147_1_1253 and discharging atoms multiplication(all_0_2_2, one) = all_1147_1_1253, multiplication(all_0_2_2, one) = all_1015_1_1088, yields:
% 222.60/175.45 | (2148) all_1147_1_1253 = all_1015_1_1088
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with all_0_2_2, one, all_957_1_1032, all_1147_1_1253 and discharging atoms multiplication(all_0_2_2, one) = all_1147_1_1253, multiplication(all_0_2_2, one) = all_957_1_1032, yields:
% 222.60/175.45 | (2149) all_1147_1_1253 = all_957_1_1032
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with all_0_2_2, one, all_878_0_923, all_957_1_1032 and discharging atoms multiplication(all_0_2_2, one) = all_957_1_1032, multiplication(all_0_2_2, one) = all_878_0_923, yields:
% 222.60/175.45 | (2150) all_957_1_1032 = all_878_0_923
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (2) with all_870_1_918, all_0_2_2 and discharging atoms multiplication(all_0_2_2, one) = all_870_1_918, yields:
% 222.60/175.45 | (2151) all_870_1_918 = all_0_2_2
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with all_0_2_2, one, all_864_0_911, all_957_1_1032 and discharging atoms multiplication(all_0_2_2, one) = all_957_1_1032, multiplication(all_0_2_2, one) = all_864_0_911, yields:
% 222.60/175.45 | (2152) all_957_1_1032 = all_864_0_911
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with all_0_2_2, one, all_864_1_912, all_870_1_918 and discharging atoms multiplication(all_0_2_2, one) = all_870_1_918, multiplication(all_0_2_2, one) = all_864_1_912, yields:
% 222.60/175.45 | (2153) all_870_1_918 = all_864_1_912
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with all_0_2_2, one, all_848_0_896, all_864_0_911 and discharging atoms multiplication(all_0_2_2, one) = all_864_0_911, multiplication(all_0_2_2, one) = all_848_0_896, yields:
% 222.60/175.45 | (2154) all_864_0_911 = all_848_0_896
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with all_0_2_2, one, all_687_0_697, all_848_0_896 and discharging atoms multiplication(all_0_2_2, one) = all_848_0_896, multiplication(all_0_2_2, one) = all_687_0_697, yields:
% 222.60/175.45 | (2155) all_848_0_896 = all_687_0_697
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with all_0_2_2, one, all_685_0_696, all_687_0_697 and discharging atoms multiplication(all_0_2_2, one) = all_687_0_697, multiplication(all_0_2_2, one) = all_685_0_696, yields:
% 222.60/175.45 | (2156) all_687_0_697 = all_685_0_696
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with all_0_2_2, one, all_681_1_693, all_864_1_912 and discharging atoms multiplication(all_0_2_2, one) = all_864_1_912, multiplication(all_0_2_2, one) = all_681_1_693, yields:
% 222.60/175.45 | (2157) all_864_1_912 = all_681_1_693
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with all_0_2_2, one, all_679_1_691, all_685_0_696 and discharging atoms multiplication(all_0_2_2, one) = all_685_0_696, multiplication(all_0_2_2, one) = all_679_1_691, yields:
% 222.60/175.45 | (2158) all_685_0_696 = all_679_1_691
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with all_0_2_2, one, all_675_0_687, all_679_1_691 and discharging atoms multiplication(all_0_2_2, one) = all_679_1_691, multiplication(all_0_2_2, one) = all_675_0_687, yields:
% 222.60/175.45 | (2159) all_679_1_691 = all_675_0_687
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with all_0_2_2, one, all_669_1_682, all_1181_0_1296 and discharging atoms multiplication(all_0_2_2, one) = all_1181_0_1296, multiplication(all_0_2_2, one) = all_669_1_682, yields:
% 222.60/175.45 | (2160) all_1181_0_1296 = all_669_1_682
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with all_0_2_2, one, all_563_0_541, all_685_0_696 and discharging atoms multiplication(all_0_2_2, one) = all_685_0_696, multiplication(all_0_2_2, one) = all_563_0_541, yields:
% 222.60/175.45 | (2161) all_685_0_696 = all_563_0_541
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with all_0_2_2, one, all_322_0_288, all_681_1_693 and discharging atoms multiplication(all_0_2_2, one) = all_681_1_693, multiplication(all_0_2_2, one) = all_322_0_288, yields:
% 222.60/175.45 | (2162) all_681_1_693 = all_322_0_288
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with all_0_2_2, one, all_322_0_288, all_563_0_541 and discharging atoms multiplication(all_0_2_2, one) = all_563_0_541, multiplication(all_0_2_2, one) = all_322_0_288, yields:
% 222.60/175.45 | (2163) all_563_0_541 = all_322_0_288
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with all_0_2_2, one, all_314_0_283, all_679_1_691 and discharging atoms multiplication(all_0_2_2, one) = all_679_1_691, multiplication(all_0_2_2, one) = all_314_0_283, yields:
% 222.60/175.45 | (2164) all_679_1_691 = all_314_0_283
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with all_0_2_2, one, all_131_1_134, all_322_0_288 and discharging atoms multiplication(all_0_2_2, one) = all_322_0_288, multiplication(all_0_2_2, one) = all_131_1_134, yields:
% 222.60/175.45 | (2165) all_322_0_288 = all_131_1_134
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with all_0_2_2, zero, all_1165_0_1262, all_20_0_17 and discharging atoms multiplication(all_0_2_2, zero) = all_1165_0_1262, multiplication(all_0_2_2, zero) = all_20_0_17, yields:
% 222.60/175.45 | (2166) all_1165_0_1262 = all_20_0_17
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (20) with all_85_0_61, all_947_0_1016 and discharging atoms multiplication(one, all_947_0_1016) = all_85_0_61, yields:
% 222.60/175.45 | (2167) all_947_0_1016 = all_85_0_61
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (20) with all_195_1_228, all_846_0_895 and discharging atoms multiplication(one, all_846_0_895) = all_195_1_228, yields:
% 222.60/175.45 | (2168) all_846_0_895 = all_195_1_228
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (20) with all_1301_2_1376, all_0_1_1 and discharging atoms multiplication(one, all_0_1_1) = all_1301_2_1376, yields:
% 222.60/175.45 | (2169) all_1301_2_1376 = all_0_1_1
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with one, one, all_1183_1_1299, all_1183_0_1298 and discharging atoms multiplication(one, one) = all_1183_0_1298, multiplication(one, one) = all_1183_1_1299, yields:
% 222.60/175.45 | (2170) all_1183_0_1298 = all_1183_1_1299
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with one, one, all_1120_1_1214, all_1120_0_1213 and discharging atoms multiplication(one, one) = all_1120_0_1213, multiplication(one, one) = all_1120_1_1214, yields:
% 222.60/175.45 | (2171) all_1120_0_1213 = all_1120_1_1214
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with one, one, all_1118_0_1211, all_1183_1_1299 and discharging atoms multiplication(one, one) = all_1183_1_1299, multiplication(one, one) = all_1118_0_1211, yields:
% 222.60/175.45 | (2172) all_1183_1_1299 = all_1118_0_1211
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with one, one, all_1118_1_1212, all_1120_1_1214 and discharging atoms multiplication(one, one) = all_1120_1_1214, multiplication(one, one) = all_1118_1_1212, yields:
% 222.60/175.45 | (2173) all_1120_1_1214 = all_1118_1_1212
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with one, one, all_905_0_951, all_1118_1_1212 and discharging atoms multiplication(one, one) = all_1118_1_1212, multiplication(one, one) = all_905_0_951, yields:
% 222.60/175.45 | (2174) all_1118_1_1212 = all_905_0_951
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with one, one, all_903_0_950, all_1118_0_1211 and discharging atoms multiplication(one, one) = all_1118_0_1211, multiplication(one, one) = all_903_0_950, yields:
% 222.60/175.45 | (2175) all_1118_0_1211 = all_903_0_950
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with one, one, all_901_1_949, all_903_0_950 and discharging atoms multiplication(one, one) = all_903_0_950, multiplication(one, one) = all_901_1_949, yields:
% 222.60/175.45 | (2176) all_903_0_950 = all_901_1_949
% 222.60/175.45 |
% 222.60/175.45 | Instantiating formula (19) with one, one, all_878_1_924, all_901_0_948 and discharging atoms multiplication(one, one) = all_901_0_948, multiplication(one, one) = all_878_1_924, yields:
% 222.60/175.46 | (2177) all_901_0_948 = all_878_1_924
% 222.60/175.46 |
% 222.60/175.46 | Instantiating formula (19) with one, one, all_870_0_917, all_878_1_924 and discharging atoms multiplication(one, one) = all_878_1_924, multiplication(one, one) = all_870_0_917, yields:
% 222.60/175.46 | (2178) all_878_1_924 = all_870_0_917
% 222.60/175.46 |
% 222.60/175.46 | Instantiating formula (19) with one, one, all_868_1_916, all_901_1_949 and discharging atoms multiplication(one, one) = all_901_1_949, multiplication(one, one) = all_868_1_916, yields:
% 222.60/175.46 | (2179) all_901_1_949 = all_868_1_916
% 222.60/175.46 |
% 222.60/175.46 | Instantiating formula (2) with all_868_1_916, one and discharging atoms multiplication(one, one) = all_868_1_916, yields:
% 222.60/175.46 | (2180) all_868_1_916 = one
% 222.60/175.46 |
% 222.60/175.46 | Instantiating formula (19) with one, one, all_866_1_914, all_868_1_916 and discharging atoms multiplication(one, one) = all_868_1_916, multiplication(one, one) = all_866_1_914, yields:
% 222.60/175.46 | (2181) all_868_1_916 = all_866_1_914
% 222.60/175.46 |
% 222.60/175.46 | Instantiating formula (19) with one, one, all_677_0_688, all_1183_0_1298 and discharging atoms multiplication(one, one) = all_1183_0_1298, multiplication(one, one) = all_677_0_688, yields:
% 222.60/175.46 | (2182) all_1183_0_1298 = all_677_0_688
% 222.60/175.46 |
% 222.60/175.46 | Instantiating formula (19) with one, one, all_677_1_689, all_905_0_951 and discharging atoms multiplication(one, one) = all_905_0_951, multiplication(one, one) = all_677_1_689, yields:
% 222.60/175.46 | (2183) all_905_0_951 = all_677_1_689
% 222.60/175.46 |
% 222.60/175.46 | Instantiating formula (19) with one, one, all_677_1_689, all_870_0_917 and discharging atoms multiplication(one, one) = all_870_0_917, multiplication(one, one) = all_677_1_689, yields:
% 222.60/175.46 | (2184) all_870_0_917 = all_677_1_689
% 222.60/175.46 |
% 222.60/175.46 | Instantiating formula (19) with one, one, all_677_1_689, all_868_1_916 and discharging atoms multiplication(one, one) = all_868_1_916, multiplication(one, one) = all_677_1_689, yields:
% 222.60/175.46 | (2185) all_868_1_916 = all_677_1_689
% 222.60/175.46 |
% 222.60/175.46 | Instantiating formula (19) with one, one, all_673_0_685, all_901_0_948 and discharging atoms multiplication(one, one) = all_901_0_948, multiplication(one, one) = all_673_0_685, yields:
% 222.60/175.46 | (2186) all_901_0_948 = all_673_0_685
% 222.60/175.46 |
% 222.60/175.46 | Instantiating formula (19) with one, one, all_660_0_663, all_905_0_951 and discharging atoms multiplication(one, one) = all_905_0_951, multiplication(one, one) = all_660_0_663, yields:
% 222.60/175.46 | (2187) all_905_0_951 = all_660_0_663
% 222.60/175.46 |
% 222.60/175.46 | Instantiating formula (19) with one, one, all_567_0_545, all_1120_0_1213 and discharging atoms multiplication(one, one) = all_1120_0_1213, multiplication(one, one) = all_567_0_545, yields:
% 222.60/175.46 | (2188) all_1120_0_1213 = all_567_0_545
% 222.60/175.46 |
% 222.60/175.46 | Instantiating formula (19) with one, one, all_381_1_359, all_660_0_663 and discharging atoms multiplication(one, one) = all_660_0_663, multiplication(one, one) = all_381_1_359, yields:
% 222.60/175.46 | (2189) all_660_0_663 = all_381_1_359
% 222.60/175.46 |
% 222.60/175.46 | Instantiating formula (19) with one, one, all_130_1_131, all_905_0_951 and discharging atoms multiplication(one, one) = all_905_0_951, multiplication(one, one) = all_130_1_131, yields:
% 222.60/175.46 | (2190) all_905_0_951 = all_130_1_131
% 222.60/175.46 |
% 222.60/175.46 | Instantiating formula (19) with one, zero, all_1132_0_1230, all_1187_1_1307 and discharging atoms multiplication(one, zero) = all_1187_1_1307, multiplication(one, zero) = all_1132_0_1230, yields:
% 222.60/175.46 | (2191) all_1187_1_1307 = all_1132_0_1230
% 222.60/175.46 |
% 222.60/175.46 | Instantiating formula (19) with one, zero, all_1132_1_1231, all_1187_0_1306 and discharging atoms multiplication(one, zero) = all_1187_0_1306, multiplication(one, zero) = all_1132_1_1231, yields:
% 222.60/175.46 | (2192) all_1187_0_1306 = all_1132_1_1231
% 222.60/175.46 |
% 222.60/175.46 | Instantiating formula (19) with one, zero, all_842_0_892, all_1132_1_1231 and discharging atoms multiplication(one, zero) = all_1132_1_1231, multiplication(one, zero) = all_842_0_892, yields:
% 222.60/175.46 | (2193) all_1132_1_1231 = all_842_0_892
% 222.60/175.46 |
% 222.60/175.46 | Instantiating formula (19) with one, zero, all_612_1_604, all_1132_0_1230 and discharging atoms multiplication(one, zero) = all_1132_0_1230, multiplication(one, zero) = all_612_1_604, yields:
% 222.60/175.46 | (2194) all_1132_0_1230 = all_612_1_604
% 222.60/175.46 |
% 222.60/175.46 | Instantiating formula (19) with one, zero, all_569_0_547, all_842_0_892 and discharging atoms multiplication(one, zero) = all_842_0_892, multiplication(one, zero) = all_569_0_547, yields:
% 222.60/175.46 | (2195) all_842_0_892 = all_569_0_547
% 222.60/175.46 |
% 222.60/175.46 | Instantiating formula (19) with one, zero, all_569_0_547, all_612_1_604 and discharging atoms multiplication(one, zero) = all_612_1_604, multiplication(one, zero) = all_569_0_547, yields:
% 222.60/175.46 | (2196) all_612_1_604 = all_569_0_547
% 222.60/175.46 |
% 222.60/175.46 | Instantiating formula (20) with all_569_0_547, zero and discharging atoms multiplication(one, zero) = all_569_0_547, yields:
% 222.60/175.46 | (2197) all_569_0_547 = zero
% 222.60/175.46 |
% 222.60/175.46 | Instantiating formula (19) with one, zero, all_561_0_539, all_1187_0_1306 and discharging atoms multiplication(one, zero) = all_1187_0_1306, multiplication(one, zero) = all_561_0_539, yields:
% 222.60/175.46 | (2198) all_1187_0_1306 = all_561_0_539
% 222.60/175.46 |
% 222.60/175.46 | Instantiating formula (19) with one, zero, all_400_0_383, all_1187_1_1307 and discharging atoms multiplication(one, zero) = all_1187_1_1307, multiplication(one, zero) = all_400_0_383, yields:
% 222.60/175.46 | (2199) all_1187_1_1307 = all_400_0_383
% 222.60/175.46 |
% 222.60/175.46 | Instantiating formula (19) with one, zero, all_49_1_36, all_569_0_547 and discharging atoms multiplication(one, zero) = all_569_0_547, multiplication(one, zero) = all_49_1_36, yields:
% 222.60/175.46 | (2200) all_569_0_547 = all_49_1_36
% 222.60/175.46 |
% 222.60/175.46 | Instantiating formula (6) with all_1145_0_1250, all_0_2_2 and discharging atoms multiplication(zero, all_0_2_2) = all_1145_0_1250, yields:
% 222.95/175.46 | (2201) all_1145_0_1250 = zero
% 222.95/175.46 |
% 222.95/175.46 | Instantiating formula (19) with zero, one, all_957_0_1031, all_1147_0_1252 and discharging atoms multiplication(zero, one) = all_1147_0_1252, multiplication(zero, one) = all_957_0_1031, yields:
% 222.95/175.46 | (2202) all_1147_0_1252 = all_957_0_1031
% 222.95/175.46 |
% 222.95/175.46 | Instantiating formula (19) with zero, one, all_738_1_772, all_957_0_1031 and discharging atoms multiplication(zero, one) = all_957_0_1031, multiplication(zero, one) = all_738_1_772, yields:
% 222.95/175.46 | (2203) all_957_0_1031 = all_738_1_772
% 222.95/175.46 |
% 222.95/175.46 | Instantiating formula (19) with zero, one, all_372_0_345, all_738_1_772 and discharging atoms multiplication(zero, one) = all_738_1_772, multiplication(zero, one) = all_372_0_345, yields:
% 222.95/175.46 | (2204) all_738_1_772 = all_372_0_345
% 222.95/175.46 |
% 222.95/175.46 | Instantiating formula (19) with zero, one, all_370_0_344, all_372_0_345 and discharging atoms multiplication(zero, one) = all_372_0_345, multiplication(zero, one) = all_370_0_344, yields:
% 222.95/175.46 | (2205) all_372_0_345 = all_370_0_344
% 222.95/175.46 |
% 222.95/175.46 | Instantiating formula (2) with all_370_0_344, zero and discharging atoms multiplication(zero, one) = all_370_0_344, yields:
% 222.95/175.46 | (2206) all_370_0_344 = zero
% 222.95/175.46 |
% 222.95/175.46 | Instantiating formula (19) with zero, one, all_283_0_251, all_1147_0_1252 and discharging atoms multiplication(zero, one) = all_1147_0_1252, multiplication(zero, one) = all_283_0_251, yields:
% 222.95/175.46 | (2207) all_1147_0_1252 = all_283_0_251
% 222.95/175.46 |
% 222.95/175.46 | Instantiating formula (19) with zero, one, all_279_0_249, all_370_0_344 and discharging atoms multiplication(zero, one) = all_370_0_344, multiplication(zero, one) = all_279_0_249, yields:
% 222.95/175.46 | (2208) all_370_0_344 = all_279_0_249
% 222.95/175.46 |
% 222.95/175.46 | Instantiating formula (6) with all_876_1_922, zero and discharging atoms multiplication(zero, zero) = all_876_1_922, yields:
% 222.95/175.46 | (2209) all_876_1_922 = zero
% 222.95/175.46 |
% 222.95/175.46 | Instantiating formula (19) with zero, zero, all_846_0_895, all_876_1_922 and discharging atoms multiplication(zero, zero) = all_876_1_922, multiplication(zero, zero) = all_846_0_895, yields:
% 222.95/175.46 | (2210) all_876_1_922 = all_846_0_895
% 222.95/175.46 |
% 222.95/175.46 | Instantiating formula (34) with all_643_0_632, all_155_0_166 and discharging atoms addition(all_155_0_166, zero) = all_643_0_632, yields:
% 222.95/175.46 | (2211) all_643_0_632 = all_155_0_166
% 222.95/175.46 |
% 222.95/175.46 | Instantiating formula (36) with all_85_0_61, all_20_0_17, all_624_0_620, all_0_2_2 and discharging atoms addition(all_85_0_61, all_20_0_17) = all_624_0_620, addition(all_85_0_61, all_20_0_17) = all_0_2_2, yields:
% 222.95/175.46 | (2212) all_624_0_620 = all_0_2_2
% 222.95/175.46 |
% 222.95/175.46 | Instantiating formula (36) with all_85_0_61, all_20_0_17, all_318_0_286, all_624_0_620 and discharging atoms addition(all_85_0_61, all_20_0_17) = all_624_0_620, addition(all_85_0_61, all_20_0_17) = all_318_0_286, yields:
% 222.95/175.46 | (2213) all_624_0_620 = all_318_0_286
% 222.95/175.46 |
% 222.95/175.46 | Instantiating formula (36) with all_44_0_29, one, all_699_0_706, all_1099_0_1182 and discharging atoms addition(all_44_0_29, one) = all_1099_0_1182, addition(all_44_0_29, one) = all_699_0_706, yields:
% 222.95/175.46 | (2214) all_1099_0_1182 = all_699_0_706
% 222.95/175.46 |
% 222.95/175.46 | Instantiating formula (36) with all_20_0_17, all_44_0_29, all_1065_0_1129, all_1089_0_1162 and discharging atoms addition(all_20_0_17, all_44_0_29) = all_1089_0_1162, addition(all_20_0_17, all_44_0_29) = all_1065_0_1129, yields:
% 222.95/175.46 | (2215) all_1089_0_1162 = all_1065_0_1129
% 222.95/175.46 |
% 222.95/175.46 | Instantiating formula (36) with all_20_0_17, all_44_0_29, all_591_0_570, all_26_0_19 and discharging atoms addition(all_20_0_17, all_44_0_29) = all_591_0_570, addition(all_20_0_17, all_44_0_29) = all_26_0_19, yields:
% 222.95/175.46 | (2216) all_591_0_570 = all_26_0_19
% 222.95/175.46 |
% 222.95/175.46 | Instantiating formula (36) with all_20_0_17, all_44_0_29, all_591_0_570, all_1065_0_1129 and discharging atoms addition(all_20_0_17, all_44_0_29) = all_1065_0_1129, addition(all_20_0_17, all_44_0_29) = all_591_0_570, yields:
% 222.95/175.46 | (2217) all_1065_0_1129 = all_591_0_570
% 222.95/175.46 |
% 222.95/175.46 | Instantiating formula (36) with all_20_0_17, all_44_0_29, all_559_0_538, all_1089_0_1162 and discharging atoms addition(all_20_0_17, all_44_0_29) = all_1089_0_1162, addition(all_20_0_17, all_44_0_29) = all_559_0_538, yields:
% 222.95/175.46 | (2218) all_1089_0_1162 = all_559_0_538
% 222.95/175.46 |
% 222.95/175.46 | Instantiating formula (36) with all_20_0_17, all_0_1_1, all_1027_0_1099, all_1067_0_1130 and discharging atoms addition(all_20_0_17, all_0_1_1) = all_1067_0_1130, addition(all_20_0_17, all_0_1_1) = all_1027_0_1099, yields:
% 222.95/175.46 | (2219) all_1067_0_1130 = all_1027_0_1099
% 222.95/175.46 |
% 222.95/175.46 | Instantiating formula (36) with all_20_0_17, all_0_1_1, all_697_0_705, all_155_0_166 and discharging atoms addition(all_20_0_17, all_0_1_1) = all_697_0_705, addition(all_20_0_17, all_0_1_1) = all_155_0_166, yields:
% 222.95/175.46 | (2220) all_697_0_705 = all_155_0_166
% 222.95/175.46 |
% 222.95/175.46 | Instantiating formula (36) with all_20_0_17, all_0_1_1, all_697_0_705, all_1027_0_1099 and discharging atoms addition(all_20_0_17, all_0_1_1) = all_1027_0_1099, addition(all_20_0_17, all_0_1_1) = all_697_0_705, yields:
% 222.95/175.46 | (2221) all_1027_0_1099 = all_697_0_705
% 222.95/175.46 |
% 222.95/175.46 | Instantiating formula (36) with all_20_0_17, all_0_1_1, all_587_0_563, all_1067_0_1130 and discharging atoms addition(all_20_0_17, all_0_1_1) = all_1067_0_1130, addition(all_20_0_17, all_0_1_1) = all_587_0_563, yields:
% 222.95/175.46 | (2222) all_1067_0_1130 = all_587_0_563
% 222.95/175.46 |
% 222.95/175.46 | Instantiating formula (36) with all_20_0_17, all_0_1_1, all_575_0_552, all_697_0_705 and discharging atoms addition(all_20_0_17, all_0_1_1) = all_697_0_705, addition(all_20_0_17, all_0_1_1) = all_575_0_552, yields:
% 222.95/175.46 | (2223) all_697_0_705 = all_575_0_552
% 222.95/175.46 |
% 222.95/175.46 | Instantiating formula (36) with all_20_0_17, all_0_1_1, all_385_0_366, all_697_0_705 and discharging atoms addition(all_20_0_17, all_0_1_1) = all_697_0_705, addition(all_20_0_17, all_0_1_1) = all_385_0_366, yields:
% 222.95/175.46 | (2224) all_697_0_705 = all_385_0_366
% 222.95/175.46 |
% 222.95/175.46 | Instantiating formula (36) with all_20_0_17, all_0_1_1, all_385_0_366, all_583_0_561 and discharging atoms addition(all_20_0_17, all_0_1_1) = all_583_0_561, addition(all_20_0_17, all_0_1_1) = all_385_0_366, yields:
% 222.95/175.46 | (2225) all_583_0_561 = all_385_0_366
% 222.95/175.46 |
% 222.95/175.46 | Instantiating formula (36) with all_20_0_17, all_0_1_1, all_120_0_110, all_583_0_561 and discharging atoms addition(all_20_0_17, all_0_1_1) = all_583_0_561, addition(all_20_0_17, all_0_1_1) = all_120_0_110, yields:
% 222.95/175.46 | (2226) all_583_0_561 = all_120_0_110
% 222.95/175.46 |
% 222.95/175.46 | Instantiating formula (36) with all_20_0_17, one, all_733_0_761, all_963_0_1035 and discharging atoms addition(all_20_0_17, one) = all_963_0_1035, addition(all_20_0_17, one) = all_733_0_761, yields:
% 222.95/175.46 | (2227) all_963_0_1035 = all_733_0_761
% 222.95/175.46 |
% 222.95/175.46 | Instantiating formula (36) with all_20_0_17, one, all_345_0_315, all_38_0_20 and discharging atoms addition(all_20_0_17, one) = all_345_0_315, addition(all_20_0_17, one) = all_38_0_20, yields:
% 222.95/175.46 | (2228) all_345_0_315 = all_38_0_20
% 222.95/175.46 |
% 222.95/175.46 | Instantiating formula (36) with all_20_0_17, one, all_345_0_315, all_1193_0_1315 and discharging atoms addition(all_20_0_17, one) = all_1193_0_1315, addition(all_20_0_17, one) = all_345_0_315, yields:
% 222.95/175.46 | (2229) all_1193_0_1315 = all_345_0_315
% 222.95/175.46 |
% 222.95/175.46 | Instantiating formula (36) with all_20_0_17, one, all_345_0_315, all_733_0_761 and discharging atoms addition(all_20_0_17, one) = all_733_0_761, addition(all_20_0_17, one) = all_345_0_315, yields:
% 222.95/175.46 | (2230) all_733_0_761 = all_345_0_315
% 222.95/175.46 |
% 222.95/175.46 | Instantiating formula (36) with all_20_0_17, one, all_345_0_315, all_365_0_339 and discharging atoms addition(all_20_0_17, one) = all_365_0_339, addition(all_20_0_17, one) = all_345_0_315, yields:
% 222.95/175.46 | (2231) all_365_0_339 = all_345_0_315
% 222.95/175.46 |
% 222.95/175.46 | Instantiating formula (36) with all_20_0_17, one, all_341_0_308, all_365_0_339 and discharging atoms addition(all_20_0_17, one) = all_365_0_339, addition(all_20_0_17, one) = all_341_0_308, yields:
% 222.95/175.46 | (2232) all_365_0_339 = all_341_0_308
% 222.95/175.46 |
% 222.95/175.46 | Instantiating formula (36) with all_20_0_17, one, all_339_0_307, all_1193_0_1315 and discharging atoms addition(all_20_0_17, one) = all_1193_0_1315, addition(all_20_0_17, one) = all_339_0_307, yields:
% 222.95/175.46 | (2233) all_1193_0_1315 = all_339_0_307
% 222.95/175.46 |
% 222.95/175.46 | Instantiating formula (36) with all_20_0_17, one, all_339_0_307, all_807_0_840 and discharging atoms addition(all_20_0_17, one) = all_807_0_840, addition(all_20_0_17, one) = all_339_0_307, yields:
% 222.95/175.46 | (2234) all_807_0_840 = all_339_0_307
% 222.95/175.46 |
% 222.95/175.46 | Instantiating formula (36) with all_20_0_17, one, all_297_0_267, all_963_0_1035 and discharging atoms addition(all_20_0_17, one) = all_963_0_1035, addition(all_20_0_17, one) = all_297_0_267, yields:
% 222.95/175.46 | (2235) all_963_0_1035 = all_297_0_267
% 222.95/175.46 |
% 222.95/175.46 | Instantiating formula (36) with all_20_0_17, one, all_281_0_250, all_345_0_315 and discharging atoms addition(all_20_0_17, one) = all_345_0_315, addition(all_20_0_17, one) = all_281_0_250, yields:
% 222.95/175.46 | (2236) all_345_0_315 = all_281_0_250
% 222.95/175.46 |
% 222.95/175.46 | Instantiating formula (36) with all_20_0_17, one, all_277_0_248, all_807_0_840 and discharging atoms addition(all_20_0_17, one) = all_807_0_840, addition(all_20_0_17, one) = all_277_0_248, yields:
% 222.95/175.46 | (2237) all_807_0_840 = all_277_0_248
% 222.95/175.46 |
% 222.95/175.46 | Instantiating formula (36) with all_20_0_17, one, all_275_0_247, all_1193_0_1315 and discharging atoms addition(all_20_0_17, one) = all_1193_0_1315, addition(all_20_0_17, one) = all_275_0_247, yields:
% 222.95/175.46 | (2238) all_1193_0_1315 = all_275_0_247
% 222.95/175.46 |
% 222.95/175.46 | Instantiating formula (36) with all_20_0_17, one, all_0_2_2, all_339_0_307 and discharging atoms addition(all_20_0_17, one) = all_339_0_307, addition(all_20_0_17, one) = all_0_2_2, yields:
% 222.95/175.46 | (2239) all_339_0_307 = all_0_2_2
% 222.95/175.46 |
% 222.95/175.46 | Instantiating formula (36) with all_0_1_1, all_49_1_36, all_934_0_991, all_1023_0_1097 and discharging atoms addition(all_0_1_1, all_49_1_36) = all_1023_0_1097, addition(all_0_1_1, all_49_1_36) = all_934_0_991, yields:
% 222.95/175.46 | (2240) all_1023_0_1097 = all_934_0_991
% 222.95/175.46 |
% 222.95/175.46 | Instantiating formula (36) with all_0_1_1, all_49_1_36, all_536_0_509, all_1023_0_1097 and discharging atoms addition(all_0_1_1, all_49_1_36) = all_1023_0_1097, addition(all_0_1_1, all_49_1_36) = all_536_0_509, yields:
% 222.95/175.46 | (2241) all_1023_0_1097 = all_536_0_509
% 222.95/175.46 |
% 222.95/175.46 | Instantiating formula (36) with all_0_1_1, all_49_1_36, all_511_0_488, all_934_0_991 and discharging atoms addition(all_0_1_1, all_49_1_36) = all_934_0_991, addition(all_0_1_1, all_49_1_36) = all_511_0_488, yields:
% 222.95/175.46 | (2242) all_934_0_991 = all_511_0_488
% 222.95/175.46 |
% 222.95/175.46 | Instantiating formula (34) with all_789_0_826, all_0_1_1 and discharging atoms addition(all_0_1_1, zero) = all_789_0_826, yields:
% 222.95/175.46 | (2243) all_789_0_826 = all_0_1_1
% 222.95/175.46 |
% 222.95/175.46 | Instantiating formula (36) with all_0_1_1, zero, all_557_0_537, all_789_0_826 and discharging atoms addition(all_0_1_1, zero) = all_789_0_826, addition(all_0_1_1, zero) = all_557_0_537, yields:
% 222.95/175.46 | (2244) all_789_0_826 = all_557_0_537
% 222.95/175.46 |
% 222.95/175.46 | Instantiating formula (36) with all_0_2_2, all_20_0_17, all_1076_0_1147, all_1211_0_1355 and discharging atoms addition(all_0_2_2, all_20_0_17) = all_1211_0_1355, addition(all_0_2_2, all_20_0_17) = all_1076_0_1147, yields:
% 222.95/175.46 | (2245) all_1211_0_1355 = all_1076_0_1147
% 222.95/175.46 |
% 222.95/175.46 | Instantiating formula (36) with all_0_2_2, all_20_0_17, all_477_0_461, all_1211_0_1355 and discharging atoms addition(all_0_2_2, all_20_0_17) = all_1211_0_1355, addition(all_0_2_2, all_20_0_17) = all_477_0_461, yields:
% 222.95/175.46 | (2246) all_1211_0_1355 = all_477_0_461
% 222.95/175.46 |
% 222.95/175.46 | Instantiating formula (36) with one, all_49_1_36, all_1003_0_1081, all_1021_0_1096 and discharging atoms addition(one, all_49_1_36) = all_1021_0_1096, addition(one, all_49_1_36) = all_1003_0_1081, yields:
% 222.95/175.47 | (2247) all_1021_0_1096 = all_1003_0_1081
% 222.95/175.47 |
% 222.95/175.47 | Instantiating formula (36) with one, all_49_1_36, all_895_0_945, all_1003_0_1081 and discharging atoms addition(one, all_49_1_36) = all_1003_0_1081, addition(one, all_49_1_36) = all_895_0_945, yields:
% 222.95/175.47 | (2248) all_1003_0_1081 = all_895_0_945
% 222.95/175.47 |
% 222.95/175.47 | Instantiating formula (36) with one, all_49_1_36, all_893_0_944, all_895_0_945 and discharging atoms addition(one, all_49_1_36) = all_895_0_945, addition(one, all_49_1_36) = all_893_0_944, yields:
% 222.95/175.47 | (2249) all_895_0_945 = all_893_0_944
% 222.95/175.47 |
% 222.95/175.47 | Instantiating formula (36) with one, all_49_1_36, all_814_0_851, all_893_0_944 and discharging atoms addition(one, all_49_1_36) = all_893_0_944, addition(one, all_49_1_36) = all_814_0_851, yields:
% 222.95/175.47 | (2250) all_893_0_944 = all_814_0_851
% 222.95/175.47 |
% 222.95/175.47 | Instantiating formula (36) with one, all_49_1_36, all_704_0_716, all_814_0_851 and discharging atoms addition(one, all_49_1_36) = all_814_0_851, addition(one, all_49_1_36) = all_704_0_716, yields:
% 222.95/175.47 | (2251) all_814_0_851 = all_704_0_716
% 222.95/175.47 |
% 222.95/175.47 | Instantiating formula (36) with one, all_49_1_36, all_704_0_716, all_708_0_718 and discharging atoms addition(one, all_49_1_36) = all_708_0_718, addition(one, all_49_1_36) = all_704_0_716, yields:
% 222.95/175.47 | (2252) all_708_0_718 = all_704_0_716
% 222.95/175.47 |
% 222.95/175.47 | Instantiating formula (36) with one, all_49_1_36, all_580_0_557, all_708_0_718 and discharging atoms addition(one, all_49_1_36) = all_708_0_718, addition(one, all_49_1_36) = all_580_0_557, yields:
% 222.95/175.47 | (2253) all_708_0_718 = all_580_0_557
% 222.95/175.47 |
% 222.95/175.47 | Instantiating formula (36) with one, all_49_1_36, all_469_0_457, all_708_0_718 and discharging atoms addition(one, all_49_1_36) = all_708_0_718, addition(one, all_49_1_36) = all_469_0_457, yields:
% 222.95/175.47 | (2254) all_708_0_718 = all_469_0_457
% 222.95/175.47 |
% 222.95/175.47 | Instantiating formula (36) with one, all_49_1_36, all_434_0_414, all_708_0_718 and discharging atoms addition(one, all_49_1_36) = all_708_0_718, addition(one, all_49_1_36) = all_434_0_414, yields:
% 222.95/175.47 | (2255) all_708_0_718 = all_434_0_414
% 222.95/175.47 |
% 222.95/175.47 | Instantiating formula (36) with one, all_49_1_36, all_356_0_329, all_434_0_414 and discharging atoms addition(one, all_49_1_36) = all_434_0_414, addition(one, all_49_1_36) = all_356_0_329, yields:
% 222.95/175.47 | (2256) all_434_0_414 = all_356_0_329
% 222.95/175.47 |
% 222.95/175.47 | Instantiating formula (36) with one, all_49_1_36, all_85_0_61, all_1021_0_1096 and discharging atoms addition(one, all_49_1_36) = all_1021_0_1096, addition(one, all_49_1_36) = all_85_0_61, yields:
% 222.95/175.47 | (2257) all_1021_0_1096 = all_85_0_61
% 222.95/175.47 |
% 222.95/175.47 | Instantiating formula (36) with one, all_44_0_29, all_484_0_467, all_529_0_502 and discharging atoms addition(one, all_44_0_29) = all_529_0_502, addition(one, all_44_0_29) = all_484_0_467, yields:
% 222.95/175.47 | (2258) all_529_0_502 = all_484_0_467
% 222.95/175.47 |
% 222.95/175.47 | Instantiating formula (36) with one, all_0_1_1, all_1019_0_1095, all_1031_0_1101 and discharging atoms addition(one, all_0_1_1) = all_1031_0_1101, addition(one, all_0_1_1) = all_1019_0_1095, yields:
% 222.95/175.47 | (2259) all_1031_0_1101 = all_1019_0_1095
% 222.95/175.47 |
% 222.95/175.47 | Instantiating formula (36) with one, all_0_1_1, all_1001_0_1080, all_1031_0_1101 and discharging atoms addition(one, all_0_1_1) = all_1031_0_1101, addition(one, all_0_1_1) = all_1001_0_1080, yields:
% 222.95/175.47 | (2260) all_1031_0_1101 = all_1001_0_1080
% 222.95/175.47 |
% 222.95/175.47 | Instantiating formula (36) with one, all_0_1_1, all_646_0_636, all_1019_0_1095 and discharging atoms addition(one, all_0_1_1) = all_1019_0_1095, addition(one, all_0_1_1) = all_646_0_636, yields:
% 222.95/175.47 | (2261) all_1019_0_1095 = all_646_0_636
% 222.95/175.47 |
% 222.95/175.47 | Instantiating formula (36) with one, all_0_1_1, all_525_0_495, all_662_0_665 and discharging atoms addition(one, all_0_1_1) = all_662_0_665, addition(one, all_0_1_1) = all_525_0_495, yields:
% 222.95/175.47 | (2262) all_662_0_665 = all_525_0_495
% 222.95/175.47 |
% 222.95/175.47 | Instantiating formula (36) with one, all_0_1_1, all_525_0_495, all_646_0_636 and discharging atoms addition(one, all_0_1_1) = all_646_0_636, addition(one, all_0_1_1) = all_525_0_495, yields:
% 222.95/175.47 | (2263) all_646_0_636 = all_525_0_495
% 222.95/175.47 |
% 222.95/175.47 | Instantiating formula (36) with one, all_0_1_1, all_452_0_429, all_1019_0_1095 and discharging atoms addition(one, all_0_1_1) = all_1019_0_1095, addition(one, all_0_1_1) = all_452_0_429, yields:
% 222.95/175.47 | (2264) all_1019_0_1095 = all_452_0_429
% 222.95/175.47 |
% 222.95/175.47 | Instantiating formula (36) with one, all_0_1_1, all_448_0_427, all_147_0_152 and discharging atoms addition(one, all_0_1_1) = all_448_0_427, addition(one, all_0_1_1) = all_147_0_152, yields:
% 222.95/175.47 | (2265) all_448_0_427 = all_147_0_152
% 222.95/175.47 |
% 222.95/175.47 | Instantiating formula (36) with one, all_0_1_1, all_448_0_427, all_525_0_495 and discharging atoms addition(one, all_0_1_1) = all_525_0_495, addition(one, all_0_1_1) = all_448_0_427, yields:
% 222.95/175.47 | (2266) all_525_0_495 = all_448_0_427
% 222.95/175.47 |
% 222.95/175.47 | Instantiating formula (36) with one, all_0_1_1, all_162_0_173, all_525_0_495 and discharging atoms addition(one, all_0_1_1) = all_525_0_495, addition(one, all_0_1_1) = all_162_0_173, yields:
% 222.95/175.47 | (2267) all_525_0_495 = all_162_0_173
% 222.95/175.47 |
% 222.95/175.47 | Instantiating formula (36) with one, all_0_1_1, all_44_0_29, all_662_0_665 and discharging atoms addition(one, all_0_1_1) = all_662_0_665, addition(one, all_0_1_1) = all_44_0_29, yields:
% 222.95/175.47 | (2268) all_662_0_665 = all_44_0_29
% 222.95/175.47 |
% 222.95/175.47 | Instantiating formula (36) with one, zero, all_947_0_1016, all_1049_0_1111 and discharging atoms addition(one, zero) = all_1049_0_1111, addition(one, zero) = all_947_0_1016, yields:
% 222.95/175.47 | (2269) all_1049_0_1111 = all_947_0_1016
% 222.95/175.47 |
% 222.95/175.47 | Instantiating formula (34) with all_205_0_233, one and discharging atoms addition(one, zero) = all_205_0_233, yields:
% 222.95/175.47 | (2270) all_205_0_233 = one
% 222.95/175.47 |
% 222.95/175.47 | Instantiating formula (36) with one, zero, all_203_0_232, all_1049_0_1111 and discharging atoms addition(one, zero) = all_1049_0_1111, addition(one, zero) = all_203_0_232, yields:
% 222.95/175.47 | (2271) all_1049_0_1111 = all_203_0_232
% 222.95/175.47 |
% 222.95/175.47 | Instantiating formula (36) with zero, all_0_1_1, all_519_0_492, all_593_0_571 and discharging atoms addition(zero, all_0_1_1) = all_593_0_571, addition(zero, all_0_1_1) = all_519_0_492, yields:
% 222.95/175.47 | (2272) all_593_0_571 = all_519_0_492
% 222.95/175.47 |
% 222.95/175.47 | Instantiating formula (36) with zero, one, all_1127_0_1220, all_1139_0_1242 and discharging atoms addition(zero, one) = all_1139_0_1242, addition(zero, one) = all_1127_0_1220, yields:
% 222.95/175.47 | (2273) all_1139_0_1242 = all_1127_0_1220
% 222.95/175.47 |
% 222.95/175.47 | Instantiating formula (36) with zero, one, all_1055_0_1119, all_1139_0_1242 and discharging atoms addition(zero, one) = all_1139_0_1242, addition(zero, one) = all_1055_0_1119, yields:
% 222.95/175.47 | (2274) all_1139_0_1242 = all_1055_0_1119
% 222.95/175.47 |
% 222.95/175.47 | Instantiating formula (36) with zero, one, all_985_0_1062, all_1137_0_1241 and discharging atoms addition(zero, one) = all_1137_0_1241, addition(zero, one) = all_985_0_1062, yields:
% 222.95/175.47 | (2275) all_1137_0_1241 = all_985_0_1062
% 222.95/175.47 |
% 222.95/175.47 | Instantiating formula (36) with zero, one, all_831_0_882, all_1139_0_1242 and discharging atoms addition(zero, one) = all_1139_0_1242, addition(zero, one) = all_831_0_882, yields:
% 222.95/175.47 | (2276) all_1139_0_1242 = all_831_0_882
% 222.95/175.47 |
% 222.95/175.47 | Instantiating formula (36) with zero, one, all_829_0_881, all_835_0_884 and discharging atoms addition(zero, one) = all_835_0_884, addition(zero, one) = all_829_0_881, yields:
% 222.95/175.47 | (2277) all_835_0_884 = all_829_0_881
% 222.95/175.47 |
% 222.95/175.47 | Instantiating formula (36) with zero, one, all_816_0_852, all_985_0_1062 and discharging atoms addition(zero, one) = all_985_0_1062, addition(zero, one) = all_816_0_852, yields:
% 222.95/175.47 | (2278) all_985_0_1062 = all_816_0_852
% 222.95/175.47 |
% 222.95/175.47 | Instantiating formula (36) with zero, one, all_816_0_852, all_829_0_881 and discharging atoms addition(zero, one) = all_829_0_881, addition(zero, one) = all_816_0_852, yields:
% 222.95/175.47 | (2279) all_829_0_881 = all_816_0_852
% 222.95/175.47 |
% 222.95/175.47 | Instantiating formula (36) with zero, one, all_784_0_821, all_1137_0_1241 and discharging atoms addition(zero, one) = all_1137_0_1241, addition(zero, one) = all_784_0_821, yields:
% 222.95/175.47 | (2280) all_1137_0_1241 = all_784_0_821
% 222.95/175.47 |
% 222.95/175.47 | Instantiating formula (36) with zero, one, all_577_0_553, all_835_0_884 and discharging atoms addition(zero, one) = all_835_0_884, addition(zero, one) = all_577_0_553, yields:
% 222.95/175.47 | (2281) all_835_0_884 = all_577_0_553
% 222.95/175.47 |
% 222.95/175.47 | Instantiating formula (36) with zero, one, all_505_0_485, all_203_0_232 and discharging atoms addition(zero, one) = all_505_0_485, addition(zero, one) = all_203_0_232, yields:
% 222.95/175.47 | (2282) all_505_0_485 = all_203_0_232
% 222.95/175.47 |
% 222.95/175.47 | Instantiating formula (36) with zero, one, all_505_0_485, all_831_0_882 and discharging atoms addition(zero, one) = all_831_0_882, addition(zero, one) = all_505_0_485, yields:
% 222.95/175.47 | (2283) all_831_0_882 = all_505_0_485
% 222.95/175.47 |
% 222.95/175.47 | Instantiating formula (36) with zero, one, all_505_0_485, all_829_0_881 and discharging atoms addition(zero, one) = all_829_0_881, addition(zero, one) = all_505_0_485, yields:
% 222.95/175.47 | (2284) all_829_0_881 = all_505_0_485
% 222.95/175.47 |
% 222.95/175.47 | Instantiating formula (36) with zero, one, all_481_0_463, all_816_0_852 and discharging atoms addition(zero, one) = all_816_0_852, addition(zero, one) = all_481_0_463, yields:
% 222.95/175.47 | (2285) all_816_0_852 = all_481_0_463
% 222.95/175.47 |
% 222.95/175.47 | Instantiating formula (36) with zero, one, all_205_0_233, all_1139_0_1242 and discharging atoms addition(zero, one) = all_1139_0_1242, addition(zero, one) = all_205_0_233, yields:
% 222.95/175.47 | (2286) all_1139_0_1242 = all_205_0_233
% 222.95/175.47 |
% 222.95/175.47 | Combining equations (2045,2062) yields a new equation:
% 222.95/175.47 | (2287) all_447_2_426 = all_0_2_2
% 222.95/175.47 |
% 222.95/175.47 | Combining equations (2049,2062) yields a new equation:
% 222.95/175.47 | (2288) all_1091_2_1165 = all_447_2_426
% 222.95/175.47 |
% 222.95/175.47 | Simplifying 2288 yields:
% 222.95/175.47 | (2289) all_1091_2_1165 = all_447_2_426
% 222.95/175.47 |
% 222.95/175.47 | Combining equations (2080,2095) yields a new equation:
% 222.95/175.47 | (2290) all_1129_2_1223 = one
% 222.95/175.47 |
% 222.95/175.47 | Simplifying 2290 yields:
% 222.95/175.47 | (2291) all_1129_2_1223 = one
% 222.95/175.47 |
% 222.95/175.47 | Combining equations (2133,2144) yields a new equation:
% 222.95/175.47 | (2292) all_1216_1_1361 = all_325_0_293
% 222.95/175.47 |
% 222.95/175.47 | Simplifying 2292 yields:
% 222.95/175.47 | (2293) all_1216_1_1361 = all_325_0_293
% 222.95/175.47 |
% 222.95/175.47 | Combining equations (2134,2293) yields a new equation:
% 222.95/175.47 | (2294) all_1165_1_1263 = all_325_0_293
% 222.95/175.47 |
% 222.95/175.47 | Simplifying 2294 yields:
% 222.95/175.47 | (2295) all_1165_1_1263 = all_325_0_293
% 222.95/175.47 |
% 222.95/175.47 | Combining equations (2074,2094) yields a new equation:
% 222.95/175.47 | (2296) all_1209_2_1351 = all_40_2_23
% 222.95/175.47 |
% 222.95/175.47 | Simplifying 2296 yields:
% 222.95/175.47 | (2297) all_1209_2_1351 = all_40_2_23
% 222.95/175.47 |
% 222.95/175.47 | Combining equations (2245,2246) yields a new equation:
% 222.95/175.47 | (2298) all_1076_0_1147 = all_477_0_461
% 222.95/175.47 |
% 222.95/175.47 | Simplifying 2298 yields:
% 222.95/175.47 | (2299) all_1076_0_1147 = all_477_0_461
% 222.95/175.47 |
% 222.95/175.47 | Combining equations (2046,2048) yields a new equation:
% 222.95/175.47 | (2300) all_1205_2_1339 = all_1131_2_1229
% 222.95/175.47 |
% 222.95/175.47 | Simplifying 2300 yields:
% 222.95/175.47 | (2301) all_1205_2_1339 = all_1131_2_1229
% 222.95/175.47 |
% 222.95/175.47 | Combining equations (2075,2297) yields a new equation:
% 222.95/175.47 | (2302) all_1204_2_1336 = all_40_2_23
% 222.95/175.47 |
% 222.95/175.47 | Simplifying 2302 yields:
% 222.95/175.47 | (2303) all_1204_2_1336 = all_40_2_23
% 222.95/175.47 |
% 222.95/175.47 | Combining equations (2061,2301) yields a new equation:
% 222.95/175.47 | (2304) all_1131_2_1229 = all_459_2_442
% 222.95/175.47 |
% 222.95/175.47 | Combining equations (2052,2301) yields a new equation:
% 222.95/175.47 | (2305) all_1131_2_1229 = all_818_2_855
% 222.95/175.47 |
% 222.95/175.47 | Combining equations (2051,2301) yields a new equation:
% 222.95/175.47 | (2306) all_1131_2_1229 = all_822_2_867
% 222.95/175.47 |
% 222.95/175.47 | Combining equations (2076,2303) yields a new equation:
% 222.95/175.47 | (2307) all_1189_2_1310 = all_40_2_23
% 222.95/175.47 |
% 222.95/175.47 | Simplifying 2307 yields:
% 222.95/175.47 | (2308) all_1189_2_1310 = all_40_2_23
% 222.95/175.47 |
% 222.95/175.47 | Combining equations (2102,2113) yields a new equation:
% 222.95/175.47 | (2309) all_1079_0_1151 = all_304_0_273
% 222.95/175.47 |
% 222.95/175.47 | Simplifying 2309 yields:
% 222.95/175.47 | (2310) all_1079_0_1151 = all_304_0_273
% 222.95/175.47 |
% 222.95/175.47 | Combining equations (2229,2238) yields a new equation:
% 222.95/175.47 | (2311) all_345_0_315 = all_275_0_247
% 222.95/175.47 |
% 222.95/175.47 | Simplifying 2311 yields:
% 222.95/175.47 | (2312) all_345_0_315 = all_275_0_247
% 222.95/175.47 |
% 222.95/175.47 | Combining equations (2233,2238) yields a new equation:
% 222.95/175.47 | (2313) all_339_0_307 = all_275_0_247
% 222.95/175.47 |
% 222.95/175.47 | Simplifying 2313 yields:
% 222.95/175.47 | (2314) all_339_0_307 = all_275_0_247
% 222.95/175.47 |
% 222.95/175.47 | Combining equations (2056,2047) yields a new equation:
% 222.95/175.48 | (2315) all_1135_2_1237 = all_655_2_655
% 222.95/175.48 |
% 222.95/175.48 | Combining equations (2050,2047) yields a new equation:
% 222.95/175.48 | (2316) all_1135_2_1237 = all_929_2_987
% 222.95/175.48 |
% 222.95/175.48 | Combining equations (2077,2308) yields a new equation:
% 222.95/175.48 | (2317) all_1186_2_1305 = all_40_2_23
% 222.95/175.48 |
% 222.95/175.48 | Simplifying 2317 yields:
% 222.95/175.48 | (2318) all_1186_2_1305 = all_40_2_23
% 222.95/175.48 |
% 222.95/175.48 | Combining equations (2192,2198) yields a new equation:
% 222.95/175.48 | (2319) all_1132_1_1231 = all_561_0_539
% 222.95/175.48 |
% 222.95/175.48 | Simplifying 2319 yields:
% 222.95/175.48 | (2320) all_1132_1_1231 = all_561_0_539
% 222.95/175.48 |
% 222.95/175.48 | Combining equations (2191,2199) yields a new equation:
% 222.95/175.48 | (2321) all_1132_0_1230 = all_400_0_383
% 222.95/175.48 |
% 222.95/175.48 | Simplifying 2321 yields:
% 222.95/175.48 | (2322) all_1132_0_1230 = all_400_0_383
% 222.95/175.48 |
% 222.95/175.48 | Combining equations (2078,2318) yields a new equation:
% 222.95/175.48 | (2323) all_1144_2_1249 = all_40_2_23
% 222.95/175.48 |
% 222.95/175.48 | Simplifying 2323 yields:
% 222.95/175.48 | (2324) all_1144_2_1249 = all_40_2_23
% 222.95/175.48 |
% 222.95/175.48 | Combining equations (2170,2182) yields a new equation:
% 222.95/175.48 | (2325) all_1183_1_1299 = all_677_0_688
% 222.95/175.48 |
% 222.95/175.48 | Simplifying 2325 yields:
% 222.95/175.48 | (2326) all_1183_1_1299 = all_677_0_688
% 222.95/175.48 |
% 222.95/175.48 | Combining equations (2172,2326) yields a new equation:
% 222.95/175.48 | (2327) all_1118_0_1211 = all_677_0_688
% 222.95/175.48 |
% 222.95/175.48 | Simplifying 2327 yields:
% 222.95/175.48 | (2328) all_1118_0_1211 = all_677_0_688
% 222.95/175.48 |
% 222.95/175.48 | Combining equations (2145,2160) yields a new equation:
% 222.95/175.48 | (2329) all_1181_1_1297 = all_669_1_682
% 222.95/175.48 |
% 222.95/175.48 | Simplifying 2329 yields:
% 222.95/175.48 | (2330) all_1181_1_1297 = all_669_1_682
% 222.95/175.48 |
% 222.95/175.48 | Combining equations (2146,2330) yields a new equation:
% 222.95/175.48 | (2331) all_1015_0_1087 = all_669_1_682
% 222.95/175.48 |
% 222.95/175.48 | Simplifying 2331 yields:
% 222.95/175.48 | (2332) all_1015_0_1087 = all_669_1_682
% 222.95/175.48 |
% 222.95/175.48 | Combining equations (2139,2295) yields a new equation:
% 222.95/175.48 | (2333) all_669_0_681 = all_325_0_293
% 222.95/175.48 |
% 222.95/175.48 | Simplifying 2333 yields:
% 222.95/175.48 | (2334) all_669_0_681 = all_325_0_293
% 222.95/175.48 |
% 222.95/175.48 | Combining equations (2202,2207) yields a new equation:
% 222.95/175.48 | (2335) all_957_0_1031 = all_283_0_251
% 222.95/175.48 |
% 222.95/175.48 | Simplifying 2335 yields:
% 222.95/175.48 | (2336) all_957_0_1031 = all_283_0_251
% 222.95/175.48 |
% 222.95/175.48 | Combining equations (2149,2148) yields a new equation:
% 222.95/175.48 | (2337) all_1015_1_1088 = all_957_1_1032
% 222.95/175.48 |
% 222.95/175.48 | Combining equations (2147,2148) yields a new equation:
% 222.95/175.48 | (2338) all_1015_0_1087 = all_1015_1_1088
% 222.95/175.48 |
% 222.95/175.48 | Simplifying 2338 yields:
% 222.95/175.48 | (2339) all_1015_0_1087 = all_1015_1_1088
% 222.95/175.48 |
% 222.95/175.48 | Combining equations (2135,2138) yields a new equation:
% 222.95/175.48 | (2340) all_872_0_919 = all_671_0_683
% 222.95/175.48 |
% 222.95/175.48 | Simplifying 2340 yields:
% 222.95/175.48 | (2341) all_872_0_919 = all_671_0_683
% 222.95/175.48 |
% 222.95/175.48 | Combining equations (2079,2324) yields a new equation:
% 222.95/175.48 | (2342) all_1134_2_1234 = all_40_2_23
% 222.95/175.48 |
% 222.95/175.48 | Simplifying 2342 yields:
% 222.95/175.48 | (2343) all_1134_2_1234 = all_40_2_23
% 222.95/175.48 |
% 222.95/175.48 | Combining equations (2098,2096) yields a new equation:
% 222.95/175.48 | (2344) all_1058_2_1125 = all_916_2_972
% 222.95/175.48 |
% 222.95/175.48 | Combining equations (2097,2096) yields a new equation:
% 222.95/175.48 | (2345) all_1058_2_1125 = all_1000_2_1079
% 222.95/175.48 |
% 222.95/175.48 | Combining equations (2276,2273) yields a new equation:
% 222.95/175.48 | (2346) all_1127_0_1220 = all_831_0_882
% 222.95/175.48 |
% 222.95/175.48 | Combining equations (2286,2273) yields a new equation:
% 222.95/175.48 | (2347) all_1127_0_1220 = all_205_0_233
% 222.95/175.48 |
% 222.95/175.48 | Combining equations (2274,2273) yields a new equation:
% 222.95/175.48 | (2348) all_1127_0_1220 = all_1055_0_1119
% 222.95/175.48 |
% 222.95/175.48 | Combining equations (2275,2280) yields a new equation:
% 222.95/175.48 | (2349) all_985_0_1062 = all_784_0_821
% 222.95/175.48 |
% 222.95/175.48 | Simplifying 2349 yields:
% 222.95/175.48 | (2350) all_985_0_1062 = all_784_0_821
% 222.95/175.48 |
% 222.95/175.48 | Combining equations (2316,2315) yields a new equation:
% 222.95/175.48 | (2351) all_929_2_987 = all_655_2_655
% 222.95/175.48 |
% 222.95/175.48 | Simplifying 2351 yields:
% 222.95/175.48 | (2352) all_929_2_987 = all_655_2_655
% 222.95/175.48 |
% 222.95/175.48 | Combining equations (2090,2343) yields a new equation:
% 222.95/175.48 | (2353) all_379_2_354 = all_40_2_23
% 222.95/175.48 |
% 222.95/175.48 | Simplifying 2353 yields:
% 222.95/175.48 | (2354) all_379_2_354 = all_40_2_23
% 222.95/175.48 |
% 222.95/175.48 | Combining equations (2194,2322) yields a new equation:
% 222.95/175.48 | (2355) all_612_1_604 = all_400_0_383
% 222.95/175.48 |
% 222.95/175.48 | Simplifying 2355 yields:
% 222.95/175.48 | (2356) all_612_1_604 = all_400_0_383
% 222.95/175.48 |
% 222.95/175.48 | Combining equations (2193,2320) yields a new equation:
% 222.95/175.48 | (2357) all_842_0_892 = all_561_0_539
% 222.95/175.48 |
% 222.95/175.48 | Simplifying 2357 yields:
% 222.95/175.48 | (2358) all_842_0_892 = all_561_0_539
% 222.95/175.48 |
% 222.95/175.48 | Combining equations (2305,2306) yields a new equation:
% 222.95/175.48 | (2359) all_822_2_867 = all_818_2_855
% 222.95/175.48 |
% 222.95/175.48 | Combining equations (2304,2306) yields a new equation:
% 222.95/175.48 | (2360) all_822_2_867 = all_459_2_442
% 222.95/175.48 |
% 222.95/175.48 | Combining equations (2082,2089) yields a new equation:
% 222.95/175.48 | (2361) all_1018_2_1094 = all_445_1_423
% 222.95/175.48 |
% 222.95/175.48 | Simplifying 2361 yields:
% 222.95/175.48 | (2362) all_1018_2_1094 = all_445_1_423
% 222.95/175.48 |
% 222.95/175.48 | Combining equations (2086,2291) yields a new equation:
% 222.95/175.48 | (2363) all_579_2_556 = one
% 222.95/175.48 |
% 222.95/175.48 | Simplifying 2363 yields:
% 222.95/175.48 | (2364) all_579_2_556 = one
% 222.95/175.48 |
% 222.95/175.48 | Combining equations (2346,2348) yields a new equation:
% 222.95/175.48 | (2365) all_1055_0_1119 = all_831_0_882
% 222.95/175.48 |
% 222.95/175.48 | Combining equations (2347,2348) yields a new equation:
% 222.95/175.48 | (2366) all_1055_0_1119 = all_205_0_233
% 222.95/175.48 |
% 222.95/175.48 | Combining equations (2171,2188) yields a new equation:
% 222.95/175.48 | (2367) all_1120_1_1214 = all_567_0_545
% 222.95/175.48 |
% 222.95/175.48 | Simplifying 2367 yields:
% 222.95/175.48 | (2368) all_1120_1_1214 = all_567_0_545
% 222.95/175.48 |
% 222.95/175.48 | Combining equations (2173,2368) yields a new equation:
% 222.95/175.48 | (2369) all_1118_1_1212 = all_567_0_545
% 222.95/175.48 |
% 222.95/175.48 | Simplifying 2369 yields:
% 222.95/175.48 | (2370) all_1118_1_1212 = all_567_0_545
% 222.95/175.48 |
% 222.95/175.48 | Combining equations (2175,2328) yields a new equation:
% 222.95/175.48 | (2371) all_903_0_950 = all_677_0_688
% 222.95/175.48 |
% 222.95/175.48 | Simplifying 2371 yields:
% 222.95/175.48 | (2372) all_903_0_950 = all_677_0_688
% 222.95/175.48 |
% 222.95/175.48 | Combining equations (2174,2370) yields a new equation:
% 222.95/175.48 | (2373) all_905_0_951 = all_567_0_545
% 222.95/175.48 |
% 222.95/175.48 | Simplifying 2373 yields:
% 222.95/175.48 | (2374) all_905_0_951 = all_567_0_545
% 222.95/175.48 |
% 222.95/175.48 | Combining equations (2057,2059) yields a new equation:
% 222.95/175.48 | (2375) all_614_2_607 = all_606_2_587
% 222.95/175.48 |
% 222.95/175.48 | Simplifying 2375 yields:
% 222.95/175.48 | (2376) all_614_2_607 = all_606_2_587
% 222.95/175.48 |
% 222.95/175.48 | Combining equations (2060,2059) yields a new equation:
% 222.95/175.48 | (2377) all_606_2_587 = all_528_2_501
% 222.95/175.48 |
% 222.95/175.48 | Combining equations (2066,2063) yields a new equation:
% 222.95/175.48 | (2378) all_402_2_386 = all_110_2_102
% 222.95/175.48 |
% 222.95/175.48 | Combining equations (2289,2063) yields a new equation:
% 222.95/175.48 | (2379) all_447_2_426 = all_402_2_386
% 222.95/175.48 |
% 222.95/175.48 | Simplifying 2379 yields:
% 222.95/175.48 | (2380) all_447_2_426 = all_402_2_386
% 222.95/175.48 |
% 222.95/175.48 | Combining equations (2215,2218) yields a new equation:
% 222.95/175.48 | (2381) all_1065_0_1129 = all_559_0_538
% 222.95/175.48 |
% 222.95/175.49 | Simplifying 2381 yields:
% 222.95/175.49 | (2382) all_1065_0_1129 = all_559_0_538
% 222.95/175.49 |
% 222.95/175.49 | Combining equations (2081,2084) yields a new equation:
% 222.95/175.49 | (2383) all_1087_2_1158 = all_978_2_1053
% 222.95/175.49 |
% 222.95/175.49 | Simplifying 2383 yields:
% 222.95/175.49 | (2384) all_1087_2_1158 = all_978_2_1053
% 222.95/175.49 |
% 222.95/175.49 | Combining equations (2083,2384) yields a new equation:
% 222.95/175.49 | (2385) all_1018_2_1094 = all_978_2_1053
% 222.95/175.49 |
% 222.95/175.49 | Simplifying 2385 yields:
% 222.95/175.49 | (2386) all_1018_2_1094 = all_978_2_1053
% 222.95/175.49 |
% 222.95/175.49 | Combining equations (2103,2310) yields a new equation:
% 222.95/175.49 | (2387) all_1079_1_1152 = all_304_0_273
% 222.95/175.49 |
% 222.95/175.49 | Simplifying 2387 yields:
% 222.95/175.49 | (2388) all_1079_1_1152 = all_304_0_273
% 222.95/175.49 |
% 222.95/175.49 | Combining equations (2104,2388) yields a new equation:
% 222.95/175.49 | (2389) all_1045_0_1108 = all_304_0_273
% 222.95/175.49 |
% 222.95/175.49 | Simplifying 2389 yields:
% 222.95/175.49 | (2390) all_1045_0_1108 = all_304_0_273
% 222.95/175.49 |
% 222.95/175.49 | Combining equations (2219,2222) yields a new equation:
% 222.95/175.49 | (2391) all_1027_0_1099 = all_587_0_563
% 222.95/175.49 |
% 222.95/175.49 | Simplifying 2391 yields:
% 222.95/175.49 | (2392) all_1027_0_1099 = all_587_0_563
% 222.95/175.49 |
% 222.95/175.49 | Combining equations (2217,2382) yields a new equation:
% 222.95/175.49 | (2393) all_591_0_570 = all_559_0_538
% 222.95/175.49 |
% 222.95/175.49 | Simplifying 2393 yields:
% 222.95/175.49 | (2394) all_591_0_570 = all_559_0_538
% 222.95/175.49 |
% 222.95/175.49 | Combining equations (2345,2344) yields a new equation:
% 222.95/175.49 | (2395) all_1000_2_1079 = all_916_2_972
% 222.95/175.49 |
% 222.95/175.49 | Simplifying 2395 yields:
% 222.95/175.49 | (2396) all_1000_2_1079 = all_916_2_972
% 222.95/175.49 |
% 222.95/175.49 | Combining equations (2365,2366) yields a new equation:
% 222.95/175.49 | (2397) all_831_0_882 = all_205_0_233
% 222.95/175.49 |
% 222.95/175.49 | Simplifying 2397 yields:
% 222.95/175.49 | (2398) all_831_0_882 = all_205_0_233
% 222.95/175.49 |
% 222.95/175.49 | Combining equations (2269,2271) yields a new equation:
% 222.95/175.49 | (2399) all_947_0_1016 = all_203_0_232
% 222.95/175.49 |
% 222.95/175.49 | Simplifying 2399 yields:
% 222.95/175.49 | (2400) all_947_0_1016 = all_203_0_232
% 222.95/175.49 |
% 222.95/175.49 | Combining equations (2105,2390) yields a new equation:
% 222.95/175.49 | (2401) all_932_1_990 = all_304_0_273
% 222.95/175.49 |
% 222.95/175.49 | Simplifying 2401 yields:
% 222.95/175.49 | (2402) all_932_1_990 = all_304_0_273
% 222.95/175.49 |
% 222.95/175.49 | Combining equations (2259,2260) yields a new equation:
% 222.95/175.49 | (2403) all_1019_0_1095 = all_1001_0_1080
% 222.95/175.49 |
% 222.95/175.49 | Simplifying 2403 yields:
% 222.95/175.49 | (2404) all_1019_0_1095 = all_1001_0_1080
% 222.95/175.49 |
% 222.95/175.49 | Combining equations (2221,2392) yields a new equation:
% 222.95/175.49 | (2405) all_697_0_705 = all_587_0_563
% 222.95/175.49 |
% 222.95/175.49 | Simplifying 2405 yields:
% 222.95/175.49 | (2406) all_697_0_705 = all_587_0_563
% 222.95/175.49 |
% 222.95/175.49 | Combining equations (2240,2241) yields a new equation:
% 222.95/175.49 | (2407) all_934_0_991 = all_536_0_509
% 222.95/175.49 |
% 222.95/175.49 | Simplifying 2407 yields:
% 222.95/175.49 | (2408) all_934_0_991 = all_536_0_509
% 222.95/175.49 |
% 222.95/175.49 | Combining equations (2247,2257) yields a new equation:
% 222.95/175.49 | (2409) all_1003_0_1081 = all_85_0_61
% 222.95/175.49 |
% 222.95/175.49 | Simplifying 2409 yields:
% 222.95/175.49 | (2410) all_1003_0_1081 = all_85_0_61
% 222.95/175.49 |
% 222.95/175.49 | Combining equations (2264,2404) yields a new equation:
% 222.95/175.49 | (2411) all_1001_0_1080 = all_452_0_429
% 222.95/175.49 |
% 222.95/175.49 | Combining equations (2261,2404) yields a new equation:
% 222.95/175.49 | (2412) all_1001_0_1080 = all_646_0_636
% 222.95/175.49 |
% 222.95/175.49 | Combining equations (2362,2386) yields a new equation:
% 222.95/175.49 | (2413) all_978_2_1053 = all_445_1_423
% 222.95/175.49 |
% 222.95/175.49 | Combining equations (2087,2386) yields a new equation:
% 222.95/175.49 | (2414) all_978_2_1053 = all_579_2_556
% 222.95/175.49 |
% 222.95/175.49 | Combining equations (2085,2386) yields a new equation:
% 222.95/175.49 | (2415) all_978_2_1053 = all_820_2_861
% 222.95/175.49 |
% 222.95/175.49 | Combining equations (2339,2332) yields a new equation:
% 222.95/175.49 | (2416) all_1015_1_1088 = all_669_1_682
% 222.95/175.49 |
% 222.95/175.49 | Simplifying 2416 yields:
% 222.95/175.49 | (2417) all_1015_1_1088 = all_669_1_682
% 222.95/175.49 |
% 222.95/175.49 | Combining equations (2337,2417) yields a new equation:
% 222.95/175.49 | (2418) all_957_1_1032 = all_669_1_682
% 222.95/175.49 |
% 222.95/175.49 | Simplifying 2418 yields:
% 222.95/175.49 | (2419) all_957_1_1032 = all_669_1_682
% 222.95/175.49 |
% 223.07/175.49 | Combining equations (2248,2410) yields a new equation:
% 223.07/175.49 | (2420) all_895_0_945 = all_85_0_61
% 223.07/175.49 |
% 223.07/175.49 | Simplifying 2420 yields:
% 223.07/175.49 | (2421) all_895_0_945 = all_85_0_61
% 223.07/175.49 |
% 223.07/175.49 | Combining equations (2412,2411) yields a new equation:
% 223.07/175.49 | (2422) all_646_0_636 = all_452_0_429
% 223.07/175.49 |
% 223.07/175.49 | Simplifying 2422 yields:
% 223.07/175.49 | (2423) all_646_0_636 = all_452_0_429
% 223.07/175.49 |
% 223.07/175.49 | Combining equations (2099,2396) yields a new equation:
% 223.07/175.49 | (2424) all_916_2_972 = all_813_2_850
% 223.07/175.49 |
% 223.07/175.49 | Combining equations (2101,2396) yields a new equation:
% 223.07/175.49 | (2425) all_916_2_972 = all_177_2_197
% 223.07/175.49 |
% 223.07/175.49 | Combining equations (2100,2396) yields a new equation:
% 223.07/175.49 | (2426) all_916_2_972 = all_760_2_791
% 223.07/175.49 |
% 223.07/175.49 | Combining equations (2278,2350) yields a new equation:
% 223.07/175.49 | (2427) all_816_0_852 = all_784_0_821
% 223.07/175.49 |
% 223.07/175.49 | Simplifying 2427 yields:
% 223.07/175.49 | (2428) all_816_0_852 = all_784_0_821
% 223.07/175.49 |
% 223.07/175.49 | Combining equations (2413,2415) yields a new equation:
% 223.07/175.49 | (2429) all_820_2_861 = all_445_1_423
% 223.07/175.49 |
% 223.07/175.49 | Combining equations (2414,2415) yields a new equation:
% 223.07/175.49 | (2430) all_820_2_861 = all_579_2_556
% 223.07/175.49 |
% 223.07/175.49 | Combining equations (2227,2235) yields a new equation:
% 223.07/175.49 | (2431) all_733_0_761 = all_297_0_267
% 223.07/175.49 |
% 223.07/175.49 | Simplifying 2431 yields:
% 223.07/175.49 | (2432) all_733_0_761 = all_297_0_267
% 223.07/175.49 |
% 223.07/175.49 | Combining equations (2203,2336) yields a new equation:
% 223.07/175.49 | (2433) all_738_1_772 = all_283_0_251
% 223.07/175.49 |
% 223.07/175.49 | Simplifying 2433 yields:
% 223.07/175.49 | (2434) all_738_1_772 = all_283_0_251
% 223.07/175.49 |
% 223.07/175.49 | Combining equations (2152,2150) yields a new equation:
% 223.07/175.49 | (2435) all_878_0_923 = all_864_0_911
% 223.07/175.49 |
% 223.07/175.49 | Combining equations (2419,2150) yields a new equation:
% 223.07/175.49 | (2436) all_878_0_923 = all_669_1_682
% 223.07/175.49 |
% 223.07/175.49 | Combining equations (2167,2400) yields a new equation:
% 223.07/175.49 | (2437) all_203_0_232 = all_85_0_61
% 223.07/175.49 |
% 223.07/175.49 | Combining equations (2124,2129) yields a new equation:
% 223.07/175.49 | (2438) all_714_1_728 = all_287_0_254
% 223.07/175.49 |
% 223.07/175.49 | Simplifying 2438 yields:
% 223.07/175.49 | (2439) all_714_1_728 = all_287_0_254
% 223.07/175.49 |
% 223.07/175.49 | Combining equations (2242,2408) yields a new equation:
% 223.07/175.49 | (2440) all_536_0_509 = all_511_0_488
% 223.07/175.49 |
% 223.07/175.49 | Combining equations (2114,2118) yields a new equation:
% 223.07/175.49 | (2441) all_922_0_979 = all_405_0_388
% 223.07/175.49 |
% 223.07/175.49 | Simplifying 2441 yields:
% 223.07/175.49 | (2442) all_922_0_979 = all_405_0_388
% 223.07/175.49 |
% 223.07/175.49 | Combining equations (2106,2402) yields a new equation:
% 223.07/175.49 | (2443) all_918_1_977 = all_304_0_273
% 223.07/175.49 |
% 223.07/175.50 | Simplifying 2443 yields:
% 223.07/175.50 | (2444) all_918_1_977 = all_304_0_273
% 223.07/175.50 |
% 223.07/175.50 | Combining equations (2058,2352) yields a new equation:
% 223.07/175.50 | (2445) all_655_2_655 = all_614_2_607
% 223.07/175.50 |
% 223.07/175.50 | Combining equations (2054,2352) yields a new equation:
% 223.07/175.50 | (2446) all_658_2_659 = all_655_2_655
% 223.07/175.50 |
% 223.07/175.50 | Simplifying 2446 yields:
% 223.07/175.50 | (2447) all_658_2_659 = all_655_2_655
% 223.07/175.50 |
% 223.07/175.50 | Combining equations (2115,2442) yields a new equation:
% 223.07/175.50 | (2448) all_573_0_550 = all_405_0_388
% 223.07/175.50 |
% 223.07/175.50 | Simplifying 2448 yields:
% 223.07/175.50 | (2449) all_573_0_550 = all_405_0_388
% 223.07/175.50 |
% 223.07/175.50 | Combining equations (2107,2444) yields a new equation:
% 223.07/175.50 | (2450) all_837_1_886 = all_304_0_273
% 223.07/175.50 |
% 223.07/175.50 | Simplifying 2450 yields:
% 223.07/175.50 | (2451) all_837_1_886 = all_304_0_273
% 223.07/175.50 |
% 223.07/175.50 | Combining equations (2426,2424) yields a new equation:
% 223.07/175.50 | (2452) all_813_2_850 = all_760_2_791
% 223.07/175.50 |
% 223.07/175.50 | Combining equations (2425,2424) yields a new equation:
% 223.07/175.50 | (2453) all_813_2_850 = all_177_2_197
% 223.07/175.50 |
% 223.07/175.50 | Combining equations (2120,2121) yields a new equation:
% 223.07/175.50 | (2454) all_850_1_899 = all_769_1_799
% 223.07/175.50 |
% 223.07/175.50 | Simplifying 2454 yields:
% 223.07/175.50 | (2455) all_850_1_899 = all_769_1_799
% 223.07/175.50 |
% 223.07/175.50 | Combining equations (2190,2374) yields a new equation:
% 223.07/175.50 | (2456) all_567_0_545 = all_130_1_131
% 223.07/175.50 |
% 223.07/175.50 | Combining equations (2187,2374) yields a new equation:
% 223.07/175.50 | (2457) all_660_0_663 = all_567_0_545
% 223.07/175.50 |
% 223.07/175.50 | Simplifying 2457 yields:
% 223.07/175.50 | (2458) all_660_0_663 = all_567_0_545
% 223.07/175.50 |
% 223.07/175.50 | Combining equations (2183,2374) yields a new equation:
% 223.07/175.50 | (2459) all_677_1_689 = all_567_0_545
% 223.07/175.50 |
% 223.07/175.50 | Simplifying 2459 yields:
% 223.07/175.50 | (2460) all_677_1_689 = all_567_0_545
% 223.07/175.50 |
% 223.07/175.50 | Combining equations (2176,2372) yields a new equation:
% 223.07/175.50 | (2461) all_901_1_949 = all_677_0_688
% 223.07/175.50 |
% 223.07/175.50 | Simplifying 2461 yields:
% 223.07/175.50 | (2462) all_901_1_949 = all_677_0_688
% 223.07/175.50 |
% 223.07/175.50 | Combining equations (2177,2186) yields a new equation:
% 223.07/175.50 | (2463) all_878_1_924 = all_673_0_685
% 223.07/175.50 |
% 223.07/175.50 | Simplifying 2463 yields:
% 223.07/175.50 | (2464) all_878_1_924 = all_673_0_685
% 223.07/175.50 |
% 223.07/175.50 | Combining equations (2179,2462) yields a new equation:
% 223.07/175.50 | (2465) all_868_1_916 = all_677_0_688
% 223.07/175.50 |
% 223.07/175.50 | Simplifying 2465 yields:
% 223.07/175.50 | (2466) all_868_1_916 = all_677_0_688
% 223.07/175.50 |
% 223.07/175.50 | Combining equations (2249,2421) yields a new equation:
% 223.07/175.50 | (2467) all_893_0_944 = all_85_0_61
% 223.07/175.50 |
% 223.07/175.50 | Simplifying 2467 yields:
% 223.07/175.50 | (2468) all_893_0_944 = all_85_0_61
% 223.07/175.50 |
% 223.07/175.50 | Combining equations (2250,2468) yields a new equation:
% 223.07/175.50 | (2469) all_814_0_851 = all_85_0_61
% 223.07/175.50 |
% 223.07/175.50 | Simplifying 2469 yields:
% 223.07/175.50 | (2470) all_814_0_851 = all_85_0_61
% 223.07/175.50 |
% 223.07/175.50 | Combining equations (2435,2436) yields a new equation:
% 223.07/175.50 | (2471) all_864_0_911 = all_669_1_682
% 223.07/175.50 |
% 223.07/175.50 | Simplifying 2471 yields:
% 223.07/175.50 | (2472) all_864_0_911 = all_669_1_682
% 223.07/175.50 |
% 223.07/175.50 | Combining equations (2178,2464) yields a new equation:
% 223.07/175.50 | (2473) all_870_0_917 = all_673_0_685
% 223.07/175.50 |
% 223.07/175.50 | Simplifying 2473 yields:
% 223.07/175.50 | (2474) all_870_0_917 = all_673_0_685
% 223.07/175.50 |
% 223.07/175.50 | Combining equations (2210,2209) yields a new equation:
% 223.07/175.50 | (2475) all_846_0_895 = zero
% 223.07/175.50 |
% 223.07/175.50 | Simplifying 2475 yields:
% 223.07/175.50 | (2476) all_846_0_895 = zero
% 223.07/175.50 |
% 223.07/175.50 | Combining equations (2136,2341) yields a new equation:
% 223.07/175.50 | (2477) all_689_1_700 = all_671_0_683
% 223.07/175.50 |
% 223.07/175.50 | Simplifying 2477 yields:
% 223.07/175.50 | (2478) all_689_1_700 = all_671_0_683
% 223.07/175.50 |
% 223.07/175.50 | Combining equations (2140,2341) yields a new equation:
% 223.07/175.50 | (2479) all_671_0_683 = all_443_0_421
% 223.07/175.50 |
% 223.07/175.50 | Combining equations (2184,2474) yields a new equation:
% 223.07/175.50 | (2480) all_677_1_689 = all_673_0_685
% 223.07/175.50 |
% 223.07/175.50 | Simplifying 2480 yields:
% 223.07/175.50 | (2481) all_677_1_689 = all_673_0_685
% 223.07/175.50 |
% 223.07/175.50 | Combining equations (2153,2151) yields a new equation:
% 223.07/175.50 | (2482) all_864_1_912 = all_0_2_2
% 223.07/175.50 |
% 223.07/175.50 | Simplifying 2482 yields:
% 223.07/175.50 | (2483) all_864_1_912 = all_0_2_2
% 223.07/175.50 |
% 223.07/175.50 | Combining equations (2180,2181) yields a new equation:
% 223.07/175.50 | (2484) all_866_1_914 = one
% 223.07/175.50 |
% 223.07/175.50 | Combining equations (2185,2181) yields a new equation:
% 223.07/175.50 | (2485) all_866_1_914 = all_677_1_689
% 223.07/175.50 |
% 223.07/175.50 | Combining equations (2466,2181) yields a new equation:
% 223.07/175.50 | (2486) all_866_1_914 = all_677_0_688
% 223.07/175.50 |
% 223.07/175.50 | Combining equations (2485,2486) yields a new equation:
% 223.07/175.50 | (2487) all_677_0_688 = all_677_1_689
% 223.07/175.50 |
% 223.07/175.50 | Combining equations (2484,2486) yields a new equation:
% 223.07/175.50 | (2488) all_677_0_688 = one
% 223.07/175.50 |
% 223.07/175.50 | Combining equations (2154,2472) yields a new equation:
% 223.07/175.50 | (2489) all_848_0_896 = all_669_1_682
% 223.07/175.50 |
% 223.07/175.50 | Simplifying 2489 yields:
% 223.07/175.50 | (2490) all_848_0_896 = all_669_1_682
% 223.07/175.50 |
% 223.07/175.50 | Combining equations (2157,2483) yields a new equation:
% 223.07/175.50 | (2491) all_681_1_693 = all_0_2_2
% 223.07/175.50 |
% 223.07/175.50 | Simplifying 2491 yields:
% 223.07/175.50 | (2492) all_681_1_693 = all_0_2_2
% 223.07/175.50 |
% 223.07/175.50 | Combining equations (2122,2455) yields a new equation:
% 223.07/175.50 | (2493) all_769_1_799 = all_293_0_259
% 223.07/175.50 |
% 223.07/175.50 | Combining equations (2155,2490) yields a new equation:
% 223.07/175.50 | (2494) all_687_0_697 = all_669_1_682
% 223.07/175.50 |
% 223.07/175.50 | Simplifying 2494 yields:
% 223.07/175.50 | (2495) all_687_0_697 = all_669_1_682
% 223.07/175.50 |
% 223.07/175.50 | Combining equations (2130,2131) yields a new equation:
% 223.07/175.50 | (2496) all_767_1_797 = all_679_0_690
% 223.07/175.50 |
% 223.07/175.50 | Simplifying 2496 yields:
% 223.07/175.50 | (2497) all_767_1_797 = all_679_0_690
% 223.07/175.50 |
% 223.07/175.50 | Combining equations (2168,2476) yields a new equation:
% 223.07/175.50 | (2498) all_195_1_228 = zero
% 223.07/175.50 |
% 223.07/175.50 | Simplifying 2498 yields:
% 223.07/175.50 | (2499) all_195_1_228 = zero
% 223.07/175.50 |
% 223.07/175.50 | Combining equations (2195,2358) yields a new equation:
% 223.07/175.50 | (2500) all_569_0_547 = all_561_0_539
% 223.07/175.50 |
% 223.07/175.50 | Simplifying 2500 yields:
% 223.07/175.50 | (2501) all_569_0_547 = all_561_0_539
% 223.07/175.50 |
% 223.07/175.50 | Combining equations (2123,2126) yields a new equation:
% 223.07/175.50 | (2502) all_778_1_817 = all_612_0_603
% 223.07/175.50 |
% 223.07/175.50 | Simplifying 2502 yields:
% 223.07/175.50 | (2503) all_778_1_817 = all_612_0_603
% 223.07/175.50 |
% 223.07/175.50 | Combining equations (2112,2109) yields a new equation:
% 223.07/175.50 | (2504) all_533_0_504 = all_307_0_277
% 223.07/175.50 |
% 223.07/175.50 | Combining equations (2110,2109) yields a new equation:
% 223.07/175.50 | (2505) all_533_0_504 = all_387_0_367
% 223.07/175.50 |
% 223.07/175.50 | Combining equations (2108,2109) yields a new equation:
% 223.07/175.50 | (2506) all_837_1_886 = all_533_0_504
% 223.07/175.50 |
% 223.07/175.50 | Simplifying 2506 yields:
% 223.07/175.50 | (2507) all_837_1_886 = all_533_0_504
% 223.07/175.50 |
% 223.07/175.51 | Combining equations (2507,2451) yields a new equation:
% 223.07/175.51 | (2508) all_533_0_504 = all_304_0_273
% 223.07/175.51 |
% 223.07/175.51 | Simplifying 2508 yields:
% 223.07/175.51 | (2509) all_533_0_504 = all_304_0_273
% 223.07/175.51 |
% 223.07/175.51 | Combining equations (2277,2281) yields a new equation:
% 223.07/175.51 | (2510) all_829_0_881 = all_577_0_553
% 223.07/175.51 |
% 223.07/175.51 | Simplifying 2510 yields:
% 223.07/175.51 | (2511) all_829_0_881 = all_577_0_553
% 223.07/175.51 |
% 223.07/175.51 | Combining equations (2283,2398) yields a new equation:
% 223.07/175.51 | (2512) all_505_0_485 = all_205_0_233
% 223.07/175.51 |
% 223.07/175.51 | Simplifying 2512 yields:
% 223.07/175.51 | (2513) all_505_0_485 = all_205_0_233
% 223.07/175.51 |
% 223.07/175.51 | Combining equations (2279,2511) yields a new equation:
% 223.07/175.51 | (2514) all_816_0_852 = all_577_0_553
% 223.07/175.51 |
% 223.07/175.51 | Simplifying 2514 yields:
% 223.07/175.51 | (2515) all_816_0_852 = all_577_0_553
% 223.07/175.51 |
% 223.07/175.51 | Combining equations (2284,2511) yields a new equation:
% 223.07/175.51 | (2516) all_577_0_553 = all_505_0_485
% 223.07/175.51 |
% 223.07/175.51 | Combining equations (2072,2073) yields a new equation:
% 223.07/175.51 | (2517) all_827_2_877 = all_720_2_743
% 223.07/175.51 |
% 223.07/175.51 | Simplifying 2517 yields:
% 223.07/175.51 | (2518) all_827_2_877 = all_720_2_743
% 223.07/175.51 |
% 223.07/175.51 | Combining equations (2359,2360) yields a new equation:
% 223.07/175.51 | (2519) all_818_2_855 = all_459_2_442
% 223.07/175.51 |
% 223.07/175.51 | Simplifying 2519 yields:
% 223.07/175.51 | (2520) all_818_2_855 = all_459_2_442
% 223.07/175.51 |
% 223.07/175.51 | Combining equations (2430,2429) yields a new equation:
% 223.07/175.51 | (2521) all_579_2_556 = all_445_1_423
% 223.07/175.51 |
% 223.07/175.51 | Simplifying 2521 yields:
% 223.07/175.51 | (2522) all_579_2_556 = all_445_1_423
% 223.07/175.51 |
% 223.07/175.51 | Combining equations (2053,2520) yields a new equation:
% 223.07/175.51 | (2523) all_736_2_767 = all_459_2_442
% 223.07/175.51 |
% 223.07/175.51 | Simplifying 2523 yields:
% 223.07/175.51 | (2524) all_736_2_767 = all_459_2_442
% 223.07/175.51 |
% 223.07/175.51 | Combining equations (2285,2428) yields a new equation:
% 223.07/175.51 | (2525) all_784_0_821 = all_481_0_463
% 223.07/175.51 |
% 223.07/175.51 | Combining equations (2515,2428) yields a new equation:
% 223.07/175.51 | (2526) all_784_0_821 = all_577_0_553
% 223.07/175.51 |
% 223.07/175.51 | Combining equations (2251,2470) yields a new equation:
% 223.07/175.51 | (2527) all_704_0_716 = all_85_0_61
% 223.07/175.51 |
% 223.07/175.51 | Simplifying 2527 yields:
% 223.07/175.51 | (2528) all_704_0_716 = all_85_0_61
% 223.07/175.51 |
% 223.07/175.51 | Combining equations (2452,2453) yields a new equation:
% 223.07/175.51 | (2529) all_760_2_791 = all_177_2_197
% 223.07/175.51 |
% 223.07/175.51 | Simplifying 2529 yields:
% 223.07/175.51 | (2530) all_760_2_791 = all_177_2_197
% 223.07/175.51 |
% 223.07/175.51 | Combining equations (2234,2237) yields a new equation:
% 223.07/175.51 | (2531) all_339_0_307 = all_277_0_248
% 223.07/175.51 |
% 223.07/175.51 | Simplifying 2531 yields:
% 223.07/175.51 | (2532) all_339_0_307 = all_277_0_248
% 223.07/175.51 |
% 223.07/175.51 | Combining equations (2244,2243) yields a new equation:
% 223.07/175.51 | (2533) all_557_0_537 = all_0_1_1
% 223.07/175.51 |
% 223.07/175.51 | Simplifying 2533 yields:
% 223.07/175.51 | (2534) all_557_0_537 = all_0_1_1
% 223.07/175.51 |
% 223.07/175.51 | Combining equations (2526,2525) yields a new equation:
% 223.07/175.51 | (2535) all_577_0_553 = all_481_0_463
% 223.07/175.51 |
% 223.07/175.51 | Simplifying 2535 yields:
% 223.07/175.51 | (2536) all_577_0_553 = all_481_0_463
% 223.07/175.51 |
% 223.07/175.51 | Combining equations (2125,2503) yields a new equation:
% 223.07/175.51 | (2537) all_714_1_728 = all_612_0_603
% 223.07/175.51 |
% 223.07/175.51 | Simplifying 2537 yields:
% 223.07/175.51 | (2538) all_714_1_728 = all_612_0_603
% 223.07/175.51 |
% 223.07/175.51 | Combining equations (2128,2503) yields a new equation:
% 223.07/175.51 | (2539) all_612_0_603 = all_358_0_330
% 223.07/175.51 |
% 223.07/175.51 | Combining equations (2132,2497) yields a new equation:
% 223.07/175.51 | (2540) all_679_0_690 = all_291_0_257
% 223.07/175.51 |
% 223.07/175.51 | Combining equations (2204,2434) yields a new equation:
% 223.07/175.51 | (2541) all_372_0_345 = all_283_0_251
% 223.07/175.51 |
% 223.07/175.51 | Simplifying 2541 yields:
% 223.07/175.51 | (2542) all_372_0_345 = all_283_0_251
% 223.07/175.51 |
% 223.07/175.51 | Combining equations (2055,2524) yields a new equation:
% 223.07/175.51 | (2543) all_658_2_659 = all_459_2_442
% 223.07/175.51 |
% 223.07/175.51 | Simplifying 2543 yields:
% 223.07/175.51 | (2544) all_658_2_659 = all_459_2_442
% 223.07/175.51 |
% 223.07/175.51 | Combining equations (2230,2432) yields a new equation:
% 223.07/175.51 | (2545) all_345_0_315 = all_297_0_267
% 223.07/175.51 |
% 223.07/175.51 | Simplifying 2545 yields:
% 223.07/175.51 | (2546) all_345_0_315 = all_297_0_267
% 223.07/175.51 |
% 223.07/175.51 | Combining equations (2538,2439) yields a new equation:
% 223.07/175.51 | (2547) all_612_0_603 = all_287_0_254
% 223.07/175.51 |
% 223.07/175.51 | Simplifying 2547 yields:
% 223.07/175.51 | (2548) all_612_0_603 = all_287_0_254
% 223.07/175.51 |
% 223.07/175.51 | Combining equations (2252,2253) yields a new equation:
% 223.07/175.51 | (2549) all_704_0_716 = all_580_0_557
% 223.07/175.51 |
% 223.07/175.51 | Simplifying 2549 yields:
% 223.07/175.51 | (2550) all_704_0_716 = all_580_0_557
% 223.07/175.51 |
% 223.07/175.51 | Combining equations (2254,2253) yields a new equation:
% 223.07/175.51 | (2551) all_580_0_557 = all_469_0_457
% 223.07/175.51 |
% 223.07/175.51 | Combining equations (2255,2253) yields a new equation:
% 223.07/175.51 | (2552) all_580_0_557 = all_434_0_414
% 223.07/175.51 |
% 223.07/175.51 | Combining equations (2550,2528) yields a new equation:
% 223.07/175.51 | (2553) all_580_0_557 = all_85_0_61
% 223.07/175.51 |
% 223.07/175.51 | Simplifying 2553 yields:
% 223.07/175.51 | (2554) all_580_0_557 = all_85_0_61
% 223.07/175.51 |
% 223.07/175.51 | Combining equations (2220,2406) yields a new equation:
% 223.07/175.51 | (2555) all_587_0_563 = all_155_0_166
% 223.07/175.51 |
% 223.07/175.51 | Combining equations (2224,2406) yields a new equation:
% 223.07/175.51 | (2556) all_587_0_563 = all_385_0_366
% 223.07/175.51 |
% 223.07/175.51 | Combining equations (2223,2406) yields a new equation:
% 223.07/175.51 | (2557) all_587_0_563 = all_575_0_552
% 223.07/175.51 |
% 223.07/175.51 | Combining equations (2478,2143) yields a new equation:
% 223.07/175.51 | (2558) all_671_0_683 = all_327_0_295
% 223.07/175.51 |
% 223.07/175.51 | Simplifying 2558 yields:
% 223.07/175.51 | (2559) all_671_0_683 = all_327_0_295
% 223.07/175.51 |
% 223.07/175.51 | Combining equations (2156,2495) yields a new equation:
% 223.07/175.51 | (2560) all_685_0_696 = all_669_1_682
% 223.07/175.51 |
% 223.07/175.51 | Simplifying 2560 yields:
% 223.07/175.51 | (2561) all_685_0_696 = all_669_1_682
% 223.07/175.51 |
% 223.07/175.51 | Combining equations (2141,2137) yields a new equation:
% 223.07/175.51 | (2562) all_443_0_421 = all_127_1_122
% 223.07/175.51 |
% 223.07/175.51 | Simplifying 2562 yields:
% 223.07/175.51 | (2563) all_443_0_421 = all_127_1_122
% 223.07/175.51 |
% 223.07/175.51 | Combining equations (2161,2561) yields a new equation:
% 223.07/175.51 | (2564) all_669_1_682 = all_563_0_541
% 223.07/175.51 |
% 223.07/175.51 | Combining equations (2158,2561) yields a new equation:
% 223.07/175.51 | (2565) all_679_1_691 = all_669_1_682
% 223.07/175.51 |
% 223.07/175.51 | Simplifying 2565 yields:
% 223.07/175.51 | (2566) all_679_1_691 = all_669_1_682
% 223.07/175.51 |
% 223.07/175.51 | Combining equations (2162,2492) yields a new equation:
% 223.07/175.51 | (2567) all_322_0_288 = all_0_2_2
% 223.07/175.51 |
% 223.07/175.51 | Simplifying 2567 yields:
% 223.07/175.51 | (2568) all_322_0_288 = all_0_2_2
% 223.07/175.51 |
% 223.07/175.51 | Combining equations (2164,2159) yields a new equation:
% 223.07/175.51 | (2569) all_675_0_687 = all_314_0_283
% 223.07/175.51 |
% 223.07/175.51 | Combining equations (2566,2159) yields a new equation:
% 223.07/175.51 | (2570) all_675_0_687 = all_669_1_682
% 223.07/175.51 |
% 223.07/175.51 | Combining equations (2487,2488) yields a new equation:
% 223.07/175.51 | (2571) all_677_1_689 = one
% 223.07/175.52 |
% 223.07/175.52 | Simplifying 2571 yields:
% 223.07/175.52 | (2572) all_677_1_689 = one
% 223.07/175.52 |
% 223.07/175.52 | Combining equations (2572,2481) yields a new equation:
% 223.07/175.52 | (2573) all_673_0_685 = one
% 223.07/175.52 |
% 223.07/175.52 | Combining equations (2460,2481) yields a new equation:
% 223.07/175.52 | (2574) all_673_0_685 = all_567_0_545
% 223.07/175.52 |
% 223.07/175.52 | Combining equations (2570,2569) yields a new equation:
% 223.07/175.52 | (2575) all_669_1_682 = all_314_0_283
% 223.07/175.52 |
% 223.07/175.52 | Simplifying 2575 yields:
% 223.07/175.52 | (2576) all_669_1_682 = all_314_0_283
% 223.07/175.52 |
% 223.07/175.52 | Combining equations (2574,2573) yields a new equation:
% 223.07/175.52 | (2577) all_567_0_545 = one
% 223.07/175.52 |
% 223.07/175.52 | Simplifying 2577 yields:
% 223.07/175.52 | (2578) all_567_0_545 = one
% 223.07/175.52 |
% 223.07/175.52 | Combining equations (2479,2559) yields a new equation:
% 223.07/175.52 | (2579) all_443_0_421 = all_327_0_295
% 223.07/175.52 |
% 223.07/175.52 | Simplifying 2579 yields:
% 223.07/175.52 | (2580) all_443_0_421 = all_327_0_295
% 223.07/175.52 |
% 223.07/175.52 | Combining equations (2142,2334) yields a new equation:
% 223.07/175.52 | (2581) all_443_0_421 = all_325_0_293
% 223.07/175.52 |
% 223.07/175.52 | Simplifying 2581 yields:
% 223.07/175.52 | (2582) all_443_0_421 = all_325_0_293
% 223.07/175.52 |
% 223.07/175.52 | Combining equations (2564,2576) yields a new equation:
% 223.07/175.52 | (2583) all_563_0_541 = all_314_0_283
% 223.07/175.52 |
% 223.07/175.52 | Simplifying 2583 yields:
% 223.07/175.52 | (2584) all_563_0_541 = all_314_0_283
% 223.07/175.52 |
% 223.07/175.52 | Combining equations (2262,2268) yields a new equation:
% 223.07/175.52 | (2585) all_525_0_495 = all_44_0_29
% 223.07/175.52 |
% 223.07/175.52 | Simplifying 2585 yields:
% 223.07/175.52 | (2586) all_525_0_495 = all_44_0_29
% 223.07/175.52 |
% 223.07/175.52 | Combining equations (2458,2189) yields a new equation:
% 223.07/175.52 | (2587) all_567_0_545 = all_381_1_359
% 223.07/175.52 |
% 223.07/175.52 | Simplifying 2587 yields:
% 223.07/175.52 | (2588) all_567_0_545 = all_381_1_359
% 223.07/175.52 |
% 223.07/175.52 | Combining equations (2447,2544) yields a new equation:
% 223.07/175.52 | (2589) all_655_2_655 = all_459_2_442
% 223.07/175.52 |
% 223.07/175.52 | Simplifying 2589 yields:
% 223.07/175.52 | (2590) all_655_2_655 = all_459_2_442
% 223.07/175.52 |
% 223.07/175.52 | Combining equations (2445,2590) yields a new equation:
% 223.07/175.52 | (2591) all_614_2_607 = all_459_2_442
% 223.07/175.52 |
% 223.07/175.52 | Simplifying 2591 yields:
% 223.07/175.52 | (2592) all_614_2_607 = all_459_2_442
% 223.07/175.52 |
% 223.07/175.52 | Combining equations (2263,2423) yields a new equation:
% 223.07/175.52 | (2593) all_525_0_495 = all_452_0_429
% 223.07/175.52 |
% 223.07/175.52 | Simplifying 2593 yields:
% 223.07/175.52 | (2594) all_525_0_495 = all_452_0_429
% 223.07/175.52 |
% 223.07/175.52 | Combining equations (2213,2212) yields a new equation:
% 223.07/175.52 | (2595) all_318_0_286 = all_0_2_2
% 223.07/175.52 |
% 223.07/175.52 | Simplifying 2595 yields:
% 223.07/175.52 | (2596) all_318_0_286 = all_0_2_2
% 223.07/175.52 |
% 223.07/175.52 | Combining equations (2376,2592) yields a new equation:
% 223.07/175.52 | (2597) all_606_2_587 = all_459_2_442
% 223.07/175.52 |
% 223.07/175.52 | Simplifying 2597 yields:
% 223.07/175.52 | (2598) all_606_2_587 = all_459_2_442
% 223.07/175.52 |
% 223.07/175.52 | Combining equations (2539,2548) yields a new equation:
% 223.07/175.52 | (2599) all_358_0_330 = all_287_0_254
% 223.07/175.52 |
% 223.07/175.52 | Simplifying 2599 yields:
% 223.07/175.52 | (2600) all_358_0_330 = all_287_0_254
% 223.07/175.52 |
% 223.07/175.52 | Combining equations (2196,2356) yields a new equation:
% 223.07/175.52 | (2601) all_569_0_547 = all_400_0_383
% 223.07/175.52 |
% 223.07/175.52 | Simplifying 2601 yields:
% 223.07/175.52 | (2602) all_569_0_547 = all_400_0_383
% 223.07/175.52 |
% 223.07/175.52 | Combining equations (2377,2598) yields a new equation:
% 223.07/175.52 | (2603) all_528_2_501 = all_459_2_442
% 223.07/175.52 |
% 223.07/175.52 | Simplifying 2603 yields:
% 223.07/175.52 | (2604) all_528_2_501 = all_459_2_442
% 223.07/175.52 |
% 223.07/175.52 | Combining equations (2216,2394) yields a new equation:
% 223.07/175.52 | (2605) all_559_0_538 = all_26_0_19
% 223.07/175.52 |
% 223.07/175.52 | Combining equations (2556,2557) yields a new equation:
% 223.07/175.52 | (2606) all_575_0_552 = all_385_0_366
% 223.07/175.52 |
% 223.07/175.52 | Combining equations (2555,2557) yields a new equation:
% 223.07/175.52 | (2607) all_575_0_552 = all_155_0_166
% 223.07/175.52 |
% 223.07/175.52 | Combining equations (2225,2226) yields a new equation:
% 223.07/175.52 | (2608) all_385_0_366 = all_120_0_110
% 223.07/175.52 |
% 223.07/175.52 | Simplifying 2608 yields:
% 223.07/175.52 | (2609) all_385_0_366 = all_120_0_110
% 223.07/175.52 |
% 223.07/175.52 | Combining equations (2552,2551) yields a new equation:
% 223.07/175.52 | (2610) all_469_0_457 = all_434_0_414
% 223.07/175.52 |
% 223.07/175.52 | Combining equations (2554,2551) yields a new equation:
% 223.07/175.52 | (2611) all_469_0_457 = all_85_0_61
% 223.07/175.52 |
% 223.07/175.52 | Combining equations (2093,2522) yields a new equation:
% 223.07/175.52 | (2612) all_445_1_423 = all_146_2_151
% 223.07/175.52 |
% 223.07/175.52 | Combining equations (2088,2522) yields a new equation:
% 223.07/175.52 | (2613) all_458_2_439 = all_445_1_423
% 223.07/175.52 |
% 223.07/175.52 | Simplifying 2613 yields:
% 223.07/175.52 | (2614) all_458_2_439 = all_445_1_423
% 223.07/175.52 |
% 223.07/175.52 | Combining equations (2364,2522) yields a new equation:
% 223.07/175.52 | (2615) all_445_1_423 = one
% 223.07/175.52 |
% 223.07/175.52 | Combining equations (2516,2536) yields a new equation:
% 223.07/175.52 | (2616) all_505_0_485 = all_481_0_463
% 223.07/175.52 |
% 223.07/175.52 | Simplifying 2616 yields:
% 223.07/175.52 | (2617) all_505_0_485 = all_481_0_463
% 223.07/175.52 |
% 223.07/175.52 | Combining equations (2606,2607) yields a new equation:
% 223.07/175.52 | (2618) all_385_0_366 = all_155_0_166
% 223.07/175.52 |
% 223.07/175.52 | Simplifying 2618 yields:
% 223.07/175.52 | (2619) all_385_0_366 = all_155_0_166
% 223.07/175.52 |
% 223.07/175.52 | Combining equations (2116,2449) yields a new equation:
% 223.07/175.52 | (2620) all_533_1_505 = all_405_0_388
% 223.07/175.52 |
% 223.07/175.52 | Simplifying 2620 yields:
% 223.07/175.52 | (2621) all_533_1_505 = all_405_0_388
% 223.07/175.52 |
% 223.07/175.52 | Combining equations (2200,2501) yields a new equation:
% 223.07/175.52 | (2622) all_561_0_539 = all_49_1_36
% 223.07/175.52 |
% 223.07/175.52 | Combining equations (2197,2501) yields a new equation:
% 223.07/175.52 | (2623) all_561_0_539 = zero
% 223.07/175.52 |
% 223.07/175.52 | Combining equations (2602,2501) yields a new equation:
% 223.07/175.52 | (2624) all_561_0_539 = all_400_0_383
% 223.07/175.52 |
% 223.07/175.52 | Combining equations (2456,2588) yields a new equation:
% 223.07/175.52 | (2625) all_381_1_359 = all_130_1_131
% 223.07/175.52 |
% 223.07/175.52 | Combining equations (2578,2588) yields a new equation:
% 223.07/175.52 | (2626) all_381_1_359 = one
% 223.07/175.52 |
% 223.07/175.52 | Combining equations (2163,2584) yields a new equation:
% 223.07/175.52 | (2627) all_322_0_288 = all_314_0_283
% 223.07/175.52 |
% 223.07/175.52 | Simplifying 2627 yields:
% 223.07/175.52 | (2628) all_322_0_288 = all_314_0_283
% 223.07/175.52 |
% 223.07/175.52 | Combining equations (2622,2624) yields a new equation:
% 223.07/175.52 | (2629) all_400_0_383 = all_49_1_36
% 223.07/175.52 |
% 223.07/175.52 | Combining equations (2623,2624) yields a new equation:
% 223.07/175.52 | (2630) all_400_0_383 = zero
% 223.07/175.52 |
% 223.07/175.52 | Combining equations (2504,2505) yields a new equation:
% 223.07/175.52 | (2631) all_387_0_367 = all_307_0_277
% 223.07/175.52 |
% 223.07/175.52 | Combining equations (2509,2505) yields a new equation:
% 223.07/175.52 | (2632) all_387_0_367 = all_304_0_273
% 223.07/175.52 |
% 223.07/175.52 | Combining equations (2117,2621) yields a new equation:
% 223.07/175.53 | (2633) all_405_0_388 = all_110_2_102
% 223.07/175.53 |
% 223.07/175.53 | Combining equations (2064,2604) yields a new equation:
% 223.07/175.53 | (2634) all_459_2_442 = all_392_2_376
% 223.07/175.53 |
% 223.07/175.53 | Combining equations (2065,2604) yields a new equation:
% 223.07/175.53 | (2635) all_459_2_442 = all_184_2_210
% 223.07/175.53 |
% 223.07/175.53 | Combining equations (2267,2594) yields a new equation:
% 223.07/175.53 | (2636) all_452_0_429 = all_162_0_173
% 223.07/175.53 |
% 223.07/175.53 | Combining equations (2266,2594) yields a new equation:
% 223.07/175.53 | (2637) all_452_0_429 = all_448_0_427
% 223.07/175.53 |
% 223.07/175.53 | Combining equations (2586,2594) yields a new equation:
% 223.07/175.53 | (2638) all_452_0_429 = all_44_0_29
% 223.07/175.53 |
% 223.07/175.53 | Combining equations (2282,2617) yields a new equation:
% 223.07/175.53 | (2639) all_481_0_463 = all_203_0_232
% 223.07/175.53 |
% 223.07/175.53 | Combining equations (2513,2617) yields a new equation:
% 223.07/175.53 | (2640) all_481_0_463 = all_205_0_233
% 223.07/175.53 |
% 223.07/175.53 | Combining equations (2639,2640) yields a new equation:
% 223.07/175.53 | (2641) all_205_0_233 = all_203_0_232
% 223.07/175.53 |
% 223.07/175.53 | Combining equations (2610,2611) yields a new equation:
% 223.07/175.53 | (2642) all_434_0_414 = all_85_0_61
% 223.07/175.53 |
% 223.07/175.53 | Simplifying 2642 yields:
% 223.07/175.53 | (2643) all_434_0_414 = all_85_0_61
% 223.07/175.53 |
% 223.07/175.53 | Combining equations (2634,2635) yields a new equation:
% 223.07/175.53 | (2644) all_392_2_376 = all_184_2_210
% 223.07/175.53 |
% 223.07/175.53 | Simplifying 2644 yields:
% 223.07/175.53 | (2645) all_392_2_376 = all_184_2_210
% 223.07/175.53 |
% 223.07/175.53 | Combining equations (2614,2092) yields a new equation:
% 223.07/175.53 | (2646) all_445_1_423 = all_347_2_318
% 223.07/175.53 |
% 223.07/175.53 | Simplifying 2646 yields:
% 223.07/175.53 | (2647) all_445_1_423 = all_347_2_318
% 223.07/175.53 |
% 223.07/175.53 | Combining equations (2091,2092) yields a new equation:
% 223.07/175.53 | (2648) all_379_2_354 = all_347_2_318
% 223.07/175.53 |
% 223.07/175.53 | Simplifying 2648 yields:
% 223.07/175.53 | (2649) all_379_2_354 = all_347_2_318
% 223.07/175.53 |
% 223.07/175.53 | Combining equations (2637,2636) yields a new equation:
% 223.07/175.53 | (2650) all_448_0_427 = all_162_0_173
% 223.07/175.53 |
% 223.07/175.53 | Simplifying 2650 yields:
% 223.07/175.53 | (2651) all_448_0_427 = all_162_0_173
% 223.07/175.53 |
% 223.07/175.53 | Combining equations (2638,2636) yields a new equation:
% 223.07/175.53 | (2652) all_162_0_173 = all_44_0_29
% 223.07/175.53 |
% 223.07/175.53 | Combining equations (2651,2265) yields a new equation:
% 223.07/175.53 | (2653) all_162_0_173 = all_147_0_152
% 223.07/175.53 |
% 223.07/175.53 | Simplifying 2653 yields:
% 223.07/175.53 | (2654) all_162_0_173 = all_147_0_152
% 223.07/175.53 |
% 223.07/175.53 | Combining equations (2380,2287) yields a new equation:
% 223.07/175.53 | (2655) all_402_2_386 = all_0_2_2
% 223.07/175.53 |
% 223.07/175.53 | Simplifying 2655 yields:
% 223.07/175.53 | (2656) all_402_2_386 = all_0_2_2
% 223.07/175.53 |
% 223.07/175.53 | Combining equations (2647,2612) yields a new equation:
% 223.07/175.53 | (2657) all_347_2_318 = all_146_2_151
% 223.22/175.53 |
% 223.22/175.53 | Simplifying 2657 yields:
% 223.22/175.53 | (2658) all_347_2_318 = all_146_2_151
% 223.22/175.53 |
% 223.22/175.53 | Combining equations (2615,2612) yields a new equation:
% 223.22/175.53 | (2659) all_146_2_151 = one
% 223.22/175.53 |
% 223.22/175.53 | Combining equations (2563,2580) yields a new equation:
% 223.22/175.53 | (2660) all_327_0_295 = all_127_1_122
% 223.22/175.53 |
% 223.22/175.53 | Combining equations (2582,2580) yields a new equation:
% 223.22/175.53 | (2661) all_327_0_295 = all_325_0_293
% 223.22/175.53 |
% 223.22/175.53 | Combining equations (2256,2643) yields a new equation:
% 223.22/175.53 | (2662) all_356_0_329 = all_85_0_61
% 223.22/175.53 |
% 223.22/175.53 | Simplifying 2662 yields:
% 223.22/175.53 | (2663) all_356_0_329 = all_85_0_61
% 223.22/175.53 |
% 223.22/175.53 | Combining equations (2378,2656) yields a new equation:
% 223.22/175.53 | (2664) all_110_2_102 = all_0_2_2
% 223.22/175.53 |
% 223.22/175.53 | Simplifying 2664 yields:
% 223.22/175.53 | (2665) all_110_2_102 = all_0_2_2
% 223.22/175.53 |
% 223.22/175.53 | Combining equations (2629,2630) yields a new equation:
% 223.22/175.53 | (2666) all_49_1_36 = zero
% 223.22/175.53 |
% 223.22/175.53 | Simplifying 2666 yields:
% 223.22/175.53 | (2667) all_49_1_36 = zero
% 223.22/175.53 |
% 223.22/175.53 | Combining equations (2069,2645) yields a new equation:
% 223.22/175.53 | (2668) all_184_2_210 = all_87_2_64
% 223.22/175.53 |
% 223.22/175.53 | Combining equations (2067,2645) yields a new equation:
% 223.22/175.53 | (2669) all_184_2_210 = all_110_2_102
% 223.22/175.53 |
% 223.22/175.53 | Combining equations (2631,2632) yields a new equation:
% 223.22/175.53 | (2670) all_307_0_277 = all_304_0_273
% 223.22/175.53 |
% 223.22/175.53 | Simplifying 2670 yields:
% 223.22/175.53 | (2671) all_307_0_277 = all_304_0_273
% 223.22/175.53 |
% 223.22/175.53 | Combining equations (2609,2619) yields a new equation:
% 223.22/175.53 | (2672) all_155_0_166 = all_120_0_110
% 223.22/175.53 |
% 223.22/175.53 | Combining equations (2625,2626) yields a new equation:
% 223.22/175.53 | (2673) all_130_1_131 = one
% 223.22/175.53 |
% 223.22/175.53 | Simplifying 2673 yields:
% 223.22/175.53 | (2674) all_130_1_131 = one
% 223.22/175.53 |
% 223.22/175.53 | Combining equations (2649,2354) yields a new equation:
% 223.22/175.53 | (2675) all_347_2_318 = all_40_2_23
% 223.22/175.53 |
% 223.22/175.53 | Simplifying 2675 yields:
% 223.22/175.53 | (2676) all_347_2_318 = all_40_2_23
% 223.22/175.53 |
% 223.22/175.53 | Combining equations (2205,2542) yields a new equation:
% 223.22/175.53 | (2677) all_370_0_344 = all_283_0_251
% 223.22/175.53 |
% 223.22/175.53 | Simplifying 2677 yields:
% 223.22/175.53 | (2678) all_370_0_344 = all_283_0_251
% 223.22/175.53 |
% 223.22/175.53 | Combining equations (2206,2678) yields a new equation:
% 223.22/175.53 | (2679) all_283_0_251 = zero
% 223.22/175.53 |
% 223.22/175.53 | Combining equations (2208,2678) yields a new equation:
% 223.22/175.53 | (2680) all_283_0_251 = all_279_0_249
% 223.22/175.53 |
% 223.22/175.53 | Combining equations (2231,2232) yields a new equation:
% 223.22/175.53 | (2681) all_345_0_315 = all_341_0_308
% 223.22/175.53 |
% 223.22/175.53 | Simplifying 2681 yields:
% 223.22/175.53 | (2682) all_345_0_315 = all_341_0_308
% 223.22/175.53 |
% 223.22/175.53 | Combining equations (2600,2127) yields a new equation:
% 223.22/175.53 | (2683) all_287_0_254 = all_20_0_17
% 223.22/175.53 |
% 223.22/175.53 | Simplifying 2683 yields:
% 223.22/175.53 | (2684) all_287_0_254 = all_20_0_17
% 223.22/175.53 |
% 223.22/175.53 | Combining equations (2658,2676) yields a new equation:
% 223.22/175.53 | (2685) all_146_2_151 = all_40_2_23
% 223.22/175.53 |
% 223.22/175.53 | Simplifying 2685 yields:
% 223.22/175.53 | (2686) all_146_2_151 = all_40_2_23
% 223.22/175.53 |
% 223.22/175.53 | Combining equations (2228,2682) yields a new equation:
% 223.22/175.53 | (2687) all_341_0_308 = all_38_0_20
% 223.22/175.53 |
% 223.22/175.53 | Combining equations (2236,2682) yields a new equation:
% 223.22/175.53 | (2688) all_341_0_308 = all_281_0_250
% 223.22/175.53 |
% 223.22/175.53 | Combining equations (2312,2682) yields a new equation:
% 223.22/175.53 | (2689) all_341_0_308 = all_275_0_247
% 223.22/175.53 |
% 223.22/175.53 | Combining equations (2546,2682) yields a new equation:
% 223.22/175.53 | (2690) all_341_0_308 = all_297_0_267
% 223.22/175.53 |
% 223.22/175.53 | Combining equations (2688,2690) yields a new equation:
% 223.22/175.53 | (2691) all_297_0_267 = all_281_0_250
% 223.22/175.53 |
% 223.22/175.53 | Combining equations (2689,2690) yields a new equation:
% 223.22/175.53 | (2692) all_297_0_267 = all_275_0_247
% 223.22/175.53 |
% 223.23/175.54 | Combining equations (2687,2690) yields a new equation:
% 223.23/175.54 | (2693) all_297_0_267 = all_38_0_20
% 223.23/175.54 |
% 223.23/175.54 | Combining equations (2239,2532) yields a new equation:
% 223.23/175.54 | (2694) all_277_0_248 = all_0_2_2
% 223.23/175.54 |
% 223.23/175.54 | Combining equations (2314,2532) yields a new equation:
% 223.23/175.54 | (2695) all_277_0_248 = all_275_0_247
% 223.23/175.54 |
% 223.23/175.54 | Combining equations (2660,2661) yields a new equation:
% 223.23/175.54 | (2696) all_325_0_293 = all_127_1_122
% 223.23/175.54 |
% 223.23/175.54 | Combining equations (2165,2628) yields a new equation:
% 223.23/175.54 | (2697) all_314_0_283 = all_131_1_134
% 223.23/175.54 |
% 223.23/175.54 | Combining equations (2568,2628) yields a new equation:
% 223.23/175.54 | (2698) all_314_0_283 = all_0_2_2
% 223.23/175.54 |
% 223.23/175.54 | Combining equations (2698,2697) yields a new equation:
% 223.23/175.54 | (2699) all_131_1_134 = all_0_2_2
% 223.23/175.54 |
% 223.23/175.54 | Combining equations (2671,2111) yields a new equation:
% 223.23/175.54 | (2700) all_304_0_273 = all_110_1_101
% 223.23/175.54 |
% 223.23/175.54 | Simplifying 2700 yields:
% 223.23/175.54 | (2701) all_304_0_273 = all_110_1_101
% 223.23/175.54 |
% 223.23/175.54 | Combining equations (2693,2691) yields a new equation:
% 223.23/175.54 | (2702) all_281_0_250 = all_38_0_20
% 223.23/175.54 |
% 223.23/175.54 | Combining equations (2692,2691) yields a new equation:
% 223.23/175.54 | (2703) all_281_0_250 = all_275_0_247
% 223.23/175.54 |
% 223.23/175.54 | Combining equations (2680,2679) yields a new equation:
% 223.23/175.54 | (2704) all_279_0_249 = zero
% 223.23/175.54 |
% 223.23/175.54 | Simplifying 2704 yields:
% 223.23/175.54 | (2705) all_279_0_249 = zero
% 223.23/175.54 |
% 223.23/175.54 | Combining equations (2703,2702) yields a new equation:
% 223.23/175.54 | (2706) all_275_0_247 = all_38_0_20
% 223.23/175.54 |
% 223.23/175.54 | Simplifying 2706 yields:
% 223.23/175.54 | (2707) all_275_0_247 = all_38_0_20
% 223.23/175.54 |
% 223.23/175.54 | Combining equations (2695,2694) yields a new equation:
% 223.23/175.54 | (2708) all_275_0_247 = all_0_2_2
% 223.23/175.54 |
% 223.23/175.54 | Simplifying 2708 yields:
% 223.23/175.54 | (2709) all_275_0_247 = all_0_2_2
% 223.23/175.54 |
% 223.23/175.54 | Combining equations (2709,2707) yields a new equation:
% 223.23/175.54 | (2710) all_38_0_20 = all_0_2_2
% 223.23/175.54 |
% 223.23/175.54 | Combining equations (2270,2641) yields a new equation:
% 223.23/175.54 | (2711) all_203_0_232 = one
% 223.23/175.54 |
% 223.23/175.54 | Combining equations (2437,2711) yields a new equation:
% 223.23/175.54 | (2712) all_85_0_61 = one
% 223.23/175.54 |
% 223.23/175.54 | Simplifying 2712 yields:
% 223.23/175.54 | (2713) all_85_0_61 = one
% 223.23/175.54 |
% 223.23/175.54 | Combining equations (2669,2668) yields a new equation:
% 223.23/175.54 | (2714) all_110_2_102 = all_87_2_64
% 223.23/175.54 |
% 223.23/175.54 | Simplifying 2714 yields:
% 223.23/175.54 | (2715) all_110_2_102 = all_87_2_64
% 223.23/175.54 |
% 223.23/175.54 | Combining equations (2068,2070) yields a new equation:
% 223.23/175.54 | (2716) all_110_2_102 = all_82_2_54
% 223.23/175.54 |
% 223.23/175.54 | Simplifying 2716 yields:
% 223.23/175.54 | (2717) all_110_2_102 = all_82_2_54
% 223.23/175.54 |
% 223.23/175.54 | Combining equations (2071,2070) yields a new equation:
% 223.23/175.54 | (2718) all_82_2_54 = all_41_2_26
% 223.23/175.54 |
% 223.23/175.54 | Combining equations (2652,2654) yields a new equation:
% 223.23/175.54 | (2719) all_147_0_152 = all_44_0_29
% 223.23/175.54 |
% 223.23/175.54 | Combining equations (2686,2659) yields a new equation:
% 223.23/175.54 | (2720) all_40_2_23 = one
% 223.23/175.54 |
% 223.23/175.54 | Simplifying 2720 yields:
% 223.23/175.54 | (2721) all_40_2_23 = one
% 223.23/175.54 |
% 223.23/175.54 | Combining equations (2717,2715) yields a new equation:
% 223.23/175.54 | (2722) all_87_2_64 = all_82_2_54
% 223.23/175.54 |
% 223.23/175.54 | Combining equations (2665,2715) yields a new equation:
% 223.23/175.54 | (2723) all_87_2_64 = all_0_2_2
% 223.23/175.54 |
% 223.23/175.54 | Combining equations (2722,2723) yields a new equation:
% 223.23/175.54 | (2724) all_82_2_54 = all_0_2_2
% 223.23/175.54 |
% 223.23/175.54 | Simplifying 2724 yields:
% 223.23/175.54 | (2725) all_82_2_54 = all_0_2_2
% 223.23/175.54 |
% 223.23/175.54 | Combining equations (2718,2725) yields a new equation:
% 223.23/175.54 | (2726) all_41_2_26 = all_0_2_2
% 223.23/175.54 |
% 223.23/175.54 | Simplifying 2726 yields:
% 223.23/175.54 | (2727) all_41_2_26 = all_0_2_2
% 223.23/175.54 |
% 223.23/175.54 | Combining equations (2727,2119) yields a new equation:
% 223.23/175.54 | (2728) all_41_1_25 = all_0_2_2
% 223.23/175.54 |
% 223.23/175.54 | Combining equations (2723,2715) yields a new equation:
% 223.23/175.54 | (2665) all_110_2_102 = all_0_2_2
% 223.23/175.54 |
% 223.23/175.54 | Combining equations (2719,2654) yields a new equation:
% 223.23/175.54 | (2652) all_162_0_173 = all_44_0_29
% 223.23/175.54 |
% 223.23/175.54 | Combining equations (2725,2070) yields a new equation:
% 223.23/175.54 | (2731) all_183_2_207 = all_0_2_2
% 223.23/175.54 |
% 223.23/175.54 | Combining equations (2723,2668) yields a new equation:
% 223.23/175.54 | (2732) all_184_2_210 = all_0_2_2
% 223.23/175.54 |
% 223.23/175.54 | Combining equations (2711,2641) yields a new equation:
% 223.23/175.54 | (2270) all_205_0_233 = one
% 223.23/175.54 |
% 223.23/175.54 | Combining equations (2696,2661) yields a new equation:
% 223.23/175.54 | (2660) all_327_0_295 = all_127_1_122
% 223.23/175.54 |
% 223.23/175.54 | Combining equations (2713,2663) yields a new equation:
% 223.23/175.54 | (2735) all_356_0_329 = one
% 223.23/175.54 |
% 223.23/175.54 | Combining equations (2701,2632) yields a new equation:
% 223.23/175.54 | (2736) all_387_0_367 = all_110_1_101
% 223.23/175.54 |
% 223.23/175.54 | Combining equations (2732,2645) yields a new equation:
% 223.23/175.54 | (2737) all_392_2_376 = all_0_2_2
% 223.23/175.54 |
% 223.23/175.54 | Combining equations (2665,2633) yields a new equation:
% 223.23/175.54 | (2738) all_405_0_388 = all_0_2_2
% 223.23/175.54 |
% 223.23/175.54 | Combining equations (2659,2612) yields a new equation:
% 223.23/175.54 | (2615) all_445_1_423 = one
% 223.23/175.54 |
% 223.23/175.54 | Combining equations (2652,2636) yields a new equation:
% 223.23/175.54 | (2638) all_452_0_429 = all_44_0_29
% 223.23/175.54 |
% 223.23/175.54 | Combining equations (2732,2635) yields a new equation:
% 223.23/175.54 | (2741) all_459_2_442 = all_0_2_2
% 223.23/175.54 |
% 223.23/175.54 | Combining equations (2713,2611) yields a new equation:
% 223.23/175.54 | (2742) all_469_0_457 = one
% 223.23/175.54 |
% 223.23/175.54 | Combining equations (2741,2604) yields a new equation:
% 223.23/175.54 | (2743) all_528_2_501 = all_0_2_2
% 223.23/175.54 |
% 223.23/175.54 | Combining equations (2738,2621) yields a new equation:
% 223.23/175.54 | (2744) all_533_1_505 = all_0_2_2
% 223.23/175.54 |
% 223.23/175.54 | Combining equations (2736,2505) yields a new equation:
% 223.23/175.54 | (2745) all_533_0_504 = all_110_1_101
% 223.23/175.54 |
% 223.23/175.54 | Combining equations (2630,2624) yields a new equation:
% 223.23/175.54 | (2623) all_561_0_539 = zero
% 223.23/175.54 |
% 223.23/175.54 | Combining equations (2672,2607) yields a new equation:
% 223.23/175.54 | (2747) all_575_0_552 = all_120_0_110
% 223.23/175.54 |
% 223.23/175.54 | Combining equations (2747,2557) yields a new equation:
% 223.23/175.54 | (2748) all_587_0_563 = all_120_0_110
% 223.23/175.54 |
% 223.23/175.54 | Combining equations (2741,2598) yields a new equation:
% 223.23/175.54 | (2749) all_606_2_587 = all_0_2_2
% 223.23/175.54 |
% 223.23/175.55 | Combining equations (2684,2548) yields a new equation:
% 223.23/175.55 | (2750) all_612_0_603 = all_20_0_17
% 223.23/175.55 |
% 223.23/175.55 | Combining equations (2672,2211) yields a new equation:
% 223.23/175.55 | (2751) all_643_0_632 = all_120_0_110
% 223.23/175.55 |
% 223.23/175.55 | Combining equations (2741,2590) yields a new equation:
% 223.23/175.55 | (2752) all_655_2_655 = all_0_2_2
% 223.23/175.55 |
% 223.23/175.55 | Combining equations (2741,2544) yields a new equation:
% 223.23/175.55 | (2753) all_658_2_659 = all_0_2_2
% 223.23/175.55 |
% 223.23/175.55 | Combining equations (2660,2559) yields a new equation:
% 223.23/175.55 | (2754) all_671_0_683 = all_127_1_122
% 223.23/175.55 |
% 223.23/175.55 | Combining equations (2748,2406) yields a new equation:
% 223.23/175.55 | (2755) all_697_0_705 = all_120_0_110
% 223.23/175.55 |
% 223.23/175.55 | Combining equations (2741,2524) yields a new equation:
% 223.23/175.55 | (2756) all_736_2_767 = all_0_2_2
% 223.23/175.55 |
% 223.23/175.55 | Combining equations (2741,2520) yields a new equation:
% 223.23/175.55 | (2757) all_818_2_855 = all_0_2_2
% 223.23/175.55 |
% 223.23/175.55 | Combining equations (2615,2429) yields a new equation:
% 223.23/175.55 | (2758) all_820_2_861 = one
% 223.23/175.55 |
% 223.23/175.55 | Combining equations (2741,2360) yields a new equation:
% 223.23/175.55 | (2759) all_822_2_867 = all_0_2_2
% 223.23/175.55 |
% 223.23/175.55 | Combining equations (2750,2126) yields a new equation:
% 223.23/175.55 | (2760) all_842_1_893 = all_20_0_17
% 223.23/175.55 |
% 223.23/175.55 | Combining equations (2623,2358) yields a new equation:
% 223.23/175.55 | (2761) all_842_0_892 = zero
% 223.23/175.55 |
% 223.23/175.55 | Combining equations (2754,2341) yields a new equation:
% 223.23/175.55 | (2762) all_872_0_919 = all_127_1_122
% 223.23/175.55 |
% 223.23/175.55 | Combining equations (2713,2468) yields a new equation:
% 223.23/175.55 | (2763) all_893_0_944 = one
% 223.23/175.55 |
% 223.23/175.55 | Combining equations (2453,2424) yields a new equation:
% 223.23/175.55 | (2425) all_916_2_972 = all_177_2_197
% 223.23/175.55 |
% 223.23/175.55 | Combining equations (2752,2352) yields a new equation:
% 223.23/175.55 | (2765) all_929_2_987 = all_0_2_2
% 223.23/175.55 |
% 223.23/175.55 | Combining equations (2701,2402) yields a new equation:
% 223.23/175.55 | (2766) all_932_1_990 = all_110_1_101
% 223.23/175.55 |
% 223.23/175.55 | Combining equations (2738,2118) yields a new equation:
% 223.23/175.55 | (2767) all_932_0_989 = all_0_2_2
% 223.23/175.55 |
% 223.23/175.55 | Combining equations (2758,2415) yields a new equation:
% 223.23/175.55 | (2768) all_978_2_1053 = one
% 223.23/175.55 |
% 223.23/175.55 | Combining equations (2748,2392) yields a new equation:
% 223.23/175.55 | (2769) all_1027_0_1099 = all_120_0_110
% 223.23/175.55 |
% 223.23/175.55 | Combining equations (2425,2344) yields a new equation:
% 223.23/175.55 | (2770) all_1058_2_1125 = all_177_2_197
% 223.23/175.55 |
% 223.23/175.55 | Combining equations (2701,2388) yields a new equation:
% 223.23/175.55 | (2771) all_1079_1_1152 = all_110_1_101
% 223.23/175.55 |
% 223.23/175.55 | Combining equations (2701,2310) yields a new equation:
% 223.23/175.55 | (2772) all_1079_0_1151 = all_110_1_101
% 223.23/175.55 |
% 223.23/175.55 | Combining equations (2768,2384) yields a new equation:
% 223.23/175.55 | (2773) all_1087_2_1158 = one
% 223.23/175.55 |
% 223.23/175.55 | Combining equations (2656,2063) yields a new equation:
% 223.23/175.55 | (2774) all_1091_2_1165 = all_0_2_2
% 223.23/175.55 |
% 223.23/175.55 | Combining equations (2749,2059) yields a new equation:
% 223.23/175.55 | (2775) all_1101_2_1185 = all_0_2_2
% 223.23/175.55 |
% 223.23/175.55 | Combining equations (2759,2306) yields a new equation:
% 223.23/175.55 | (2776) all_1131_2_1229 = all_0_2_2
% 223.23/175.55 |
% 223.23/175.55 | Combining equations (2754,2138) yields a new equation:
% 223.23/175.55 | (2777) all_1145_1_1251 = all_127_1_122
% 223.23/175.55 |
% 223.23/175.55 | Combining equations (2776,2301) yields a new equation:
% 223.23/175.55 | (2778) all_1205_2_1339 = all_0_2_2
% 223.23/175.55 |
% 223.23/175.55 | Combining equations (2287,2062) yields a new equation:
% 223.23/175.55 | (2045) all_1219_2_1367 = all_0_2_2
% 223.23/175.55 |
% 223.23/175.55 | From (2667) and (1933) follows:
% 223.23/175.55 | (2780) strong_iteration(zero) = all_391_2_373
% 223.23/175.55 |
% 223.23/175.55 | From (2727) and (1655) follows:
% 223.23/175.55 | (43) strong_iteration(one) = all_0_2_2
% 223.23/175.55 |
% 223.23/175.55 | From (2518) and (1907) follows:
% 223.23/175.55 | (1897) strong_iteration(zero) = all_720_2_743
% 223.23/175.55 |
% 223.23/175.55 | From (2674) and (589) follows:
% 223.23/175.55 | (229) leq(one, one) = 0
% 223.23/175.55 |
% 223.23/175.55 | From (2667) and (718) follows:
% 223.23/175.55 | (2784) leq(zero, all_0_2_2) = 0
% 223.23/175.55 |
% 223.23/175.55 | From (2728) and (1656) follows:
% 223.23/175.55 | (860) leq(all_0_2_2, all_0_2_2) = 0
% 223.23/175.55 |
% 223.23/175.55 | From (2699) and (418) follows:
% 223.23/175.55 | (219) leq(one, all_0_2_2) = 0
% 223.23/175.55 |
% 223.23/175.55 | From (2667) and (895) follows:
% 223.23/175.55 | (931) leq(zero, zero) = 0
% 223.23/175.55 |
% 223.23/175.55 | From (2721) and (1760) follows:
% 223.23/175.55 | (1662) star(one) = one
% 223.23/175.55 |
% 223.23/175.55 | From (2530) and (1949) follows:
% 223.23/175.55 | (1878) star(zero) = all_177_2_197
% 223.23/175.55 |
% 223.23/175.55 | From (2045) and (1940) follows:
% 223.23/175.55 | (2790) multiplication(all_0_2_2, all_0_2_2) = all_1219_1_1366
% 223.23/175.55 |
% 223.23/175.55 | From (2778)(2667) and (1920) follows:
% 223.23/175.55 | (2791) multiplication(all_0_2_2, zero) = all_1205_1_1338
% 223.23/175.55 |
% 223.23/175.55 | From (2775) and (2017) follows:
% 223.23/175.55 | (2792) multiplication(all_0_2_2, all_178_0_198) = all_1101_1_1184
% 223.23/175.55 |
% 223.23/175.55 | From (2774) and (1976) follows:
% 223.23/175.55 | (2793) multiplication(all_0_2_2, all_20_0_17) = all_1091_1_1164
% 223.23/175.55 |
% 223.23/175.55 | From (2773) and (2002) follows:
% 223.23/175.55 | (2794) multiplication(one, all_20_0_17) = all_1087_1_1157
% 223.23/175.55 |
% 223.23/175.55 | From (2765) and (1986) follows:
% 223.23/175.55 | (2795) multiplication(all_0_2_2, all_0_2_2) = all_929_1_986
% 223.23/175.55 |
% 223.23/175.55 | From (2759)(2672) and (1965) follows:
% 223.23/175.55 | (2796) multiplication(all_0_2_2, all_120_0_110) = all_822_1_866
% 223.23/175.55 |
% 223.23/175.55 | From (2757) and (1889) follows:
% 223.23/175.55 | (2797) multiplication(all_0_2_2, zero) = all_818_1_854
% 223.23/175.55 |
% 223.23/175.56 | From (2756) and (1960) follows:
% 223.23/175.56 | (2798) multiplication(all_0_2_2, all_20_0_17) = all_736_1_766
% 223.23/175.56 |
% 223.23/175.56 | From (2753)(2667) and (1746) follows:
% 223.23/175.56 | (2799) multiplication(all_0_2_2, zero) = all_658_1_658
% 223.23/175.56 |
% 223.23/175.56 | From (2752)(2672) and (1858) follows:
% 223.23/175.56 | (2800) multiplication(all_0_2_2, all_120_0_110) = all_655_1_654
% 223.23/175.56 |
% 223.23/175.56 | From (2749) and (1868) follows:
% 223.23/175.56 | (2801) multiplication(all_0_2_2, all_152_0_162) = all_606_1_586
% 223.23/175.56 |
% 223.23/175.56 | From (2743) and (1848) follows:
% 223.23/175.56 | (2802) multiplication(all_0_2_2, all_26_0_19) = all_528_1_500
% 223.23/175.56 |
% 223.23/175.56 | From (2741) and (1777) follows:
% 223.23/175.56 | (2803) multiplication(all_0_2_2, zero) = all_459_1_441
% 223.23/175.56 |
% 223.23/175.56 | From (2287)(2710) and (1838) follows:
% 223.23/175.56 | (2804) multiplication(all_0_2_2, all_0_2_2) = all_447_1_425
% 223.23/175.56 |
% 223.23/175.56 | From (2656) and (1873) follows:
% 223.23/175.56 | (2805) multiplication(all_0_2_2, all_178_0_198) = all_402_1_385
% 223.23/175.56 |
% 223.23/175.56 | From (2737) and (1945) follows:
% 223.23/175.56 | (2806) multiplication(all_0_2_2, all_20_0_17) = all_392_1_375
% 223.23/175.56 |
% 223.23/175.56 | From (2732) and (1894) follows:
% 223.23/175.56 | (2807) multiplication(all_0_2_2, zero) = all_184_1_209
% 223.23/175.56 |
% 223.23/175.56 | From (2731) and (1794) follows:
% 223.23/175.56 | (2808) multiplication(all_0_2_2, all_20_0_17) = all_183_1_206
% 223.23/175.56 |
% 223.23/175.56 | From (2665)(2499) and (1045) follows:
% 223.23/175.56 | (2809) multiplication(all_0_2_2, zero) = all_387_1_368
% 223.23/175.56 |
% 223.23/175.56 | From (2665) and (1024) follows:
% 223.23/175.56 | (2810) multiplication(all_0_2_2, all_178_0_198) = all_360_0_332
% 223.23/175.56 |
% 223.23/175.56 | From (2665)(2667) and (1025) follows:
% 223.23/175.56 | (2811) multiplication(all_0_2_2, zero) = all_360_1_333
% 223.23/175.56 |
% 223.23/175.56 | From (2665)(2710) and (537) follows:
% 223.23/175.56 | (2812) multiplication(all_0_2_2, all_0_2_2) = all_129_1_128
% 223.23/175.56 |
% 223.23/175.56 | From (2665) and (424) follows:
% 223.23/175.56 | (2813) multiplication(all_0_2_2, all_20_0_17) = all_110_1_101
% 223.23/175.56 |
% 223.23/175.56 | From (2665) and (1463) follows:
% 223.23/175.56 | (2814) multiplication(all_0_2_2, all_0_2_2) = all_920_0_978
% 223.23/175.56 |
% 223.23/175.56 | From (2665) and (1074) follows:
% 223.23/175.56 | (2815) multiplication(all_0_2_2, zero) = all_445_0_422
% 223.23/175.56 |
% 223.23/175.56 | From (2723) and (1843) follows:
% 223.23/175.56 | (2816) multiplication(all_0_2_2, all_20_0_17) = all_87_1_63
% 223.23/175.56 |
% 223.23/175.56 | From (2725)(2710) and (1884) follows:
% 223.23/175.56 | (2817) multiplication(all_0_2_2, all_0_2_2) = all_82_1_53
% 223.23/175.56 |
% 223.23/175.56 | From (2667)(2768) and (1772) follows:
% 223.23/175.56 | (2818) multiplication(zero, one) = all_978_1_1052
% 223.23/175.56 |
% 223.23/175.56 | From (2667) and (996) follows:
% 223.23/175.56 | (2819) multiplication(zero, all_0_2_2) = all_327_1_296
% 223.23/175.56 |
% 223.23/175.56 | From (2710) and (1161) follows:
% 223.23/175.56 | (2820) multiplication(all_0_2_2, all_0_2_2) = all_565_1_544
% 223.23/175.56 |
% 223.23/175.56 | From (2710) and (358) follows:
% 223.23/175.56 | (2821) multiplication(all_0_2_2, zero) = all_178_0_198
% 223.23/175.56 |
% 223.23/175.56 | From (2770) and (1787) follows:
% 223.23/175.56 | (2822) multiplication(all_20_0_17, all_177_2_197) = all_1058_1_1124
% 223.23/175.56 |
% 223.23/175.56 | From (2493) and (1334) follows:
% 223.23/175.56 | (967) multiplication(all_20_0_17, all_0_2_2) = all_293_0_259
% 223.23/175.56 |
% 223.23/175.56 | From (2667) and (992) follows:
% 223.23/175.56 | (2824) multiplication(all_0_2_2, zero) = all_325_1_294
% 223.23/175.56 |
% 223.23/175.56 | From (2710) and (1157) follows:
% 223.23/175.56 | (2825) multiplication(all_0_2_2, all_0_2_2) = all_563_1_542
% 223.23/175.56 |
% 223.23/175.56 | From (2540) and (1267) follows:
% 223.23/175.56 | (963) multiplication(all_0_2_2, all_20_0_17) = all_291_0_257
% 223.23/175.56 |
% 223.23/175.56 | From (2696) and (993) follows:
% 223.23/175.56 | (538) multiplication(all_0_2_2, all_0_2_2) = all_127_1_122
% 223.23/175.56 |
% 223.23/175.56 | From (2166) and (1606) follows:
% 223.23/175.56 | (53) multiplication(all_0_2_2, zero) = all_20_0_17
% 223.23/175.56 |
% 223.23/175.56 | From (2762) and (1426) follows:
% 223.23/175.57 | (2829) multiplication(one, all_127_1_122) = all_127_1_122
% 223.23/175.57 |
% 223.23/175.57 | From (2169) and (1808) follows:
% 223.23/175.57 | (2830) multiplication(one, all_0_1_1) = all_0_1_1
% 223.23/175.57 |
% 223.23/175.57 | From (2201) and (1598) follows:
% 223.23/175.57 | (2831) multiplication(zero, all_0_2_2) = zero
% 223.23/175.57 |
% 223.23/175.57 | From (2705) and (949) follows:
% 223.23/175.57 | (2832) multiplication(zero, one) = zero
% 223.23/175.57 |
% 223.23/175.57 | From (2169) and (1809) follows:
% 223.23/175.57 | (2833) addition(all_0_1_1, one) = all_1301_1_1375
% 223.23/175.57 |
% 223.23/175.57 | From (2777)(2201) and (1599) follows:
% 223.23/175.57 | (2834) addition(all_127_1_122, zero) = all_127_1_122
% 223.23/175.57 |
% 223.23/175.57 | From (2771)(2772) and (1556) follows:
% 223.23/175.57 | (2835) addition(all_110_1_101, all_110_1_101) = all_110_1_101
% 223.23/175.57 |
% 223.23/175.57 | From (2766)(2767) and (1471) follows:
% 223.23/175.57 | (2836) addition(all_110_1_101, all_0_2_2) = all_129_1_128
% 223.23/175.57 |
% 223.23/175.57 | From (2760)(2761) and (1390) follows:
% 223.23/175.57 | (2837) addition(all_20_0_17, zero) = all_178_0_198
% 223.23/175.57 |
% 223.23/175.57 | From (2440) and (1140) follows:
% 223.23/175.57 | (2838) addition(all_511_0_488, all_20_0_17) = all_120_0_110
% 223.23/175.57 |
% 223.23/175.57 | From (2744)(2745) and (1138) follows:
% 223.23/175.57 | (2839) addition(all_0_2_2, all_110_1_101) = all_129_1_128
% 223.23/175.57 |
% 223.23/175.57 | From (2742) and (1091) follows:
% 223.23/175.57 | (2840) addition(one, all_178_0_198) = all_0_2_2
% 223.23/175.57 |
% 223.23/175.57 | From (2660) and (998) follows:
% 223.23/175.57 | (2841) addition(all_327_1_296, all_127_1_122) = all_127_1_122
% 223.23/175.57 |
% 223.23/175.57 | From (2596) and (985) follows:
% 223.23/175.57 | (2842) addition(all_0_2_2, all_20_0_17) = all_0_2_2
% 223.23/175.57 |
% 223.23/175.57 | From (2270)(2652) and (1114) follows:
% 223.23/175.57 | (2843) addition(one, all_44_0_29) = all_501_0_483
% 223.23/175.57 |
% 223.23/175.57 | From (2270)(2719) and (1318) follows:
% 223.23/175.57 | (2844) addition(one, all_44_0_29) = all_746_0_777
% 223.23/175.57 |
% 223.23/175.57 | From (2270) and (1322) follows:
% 223.23/175.57 | (2845) addition(one, all_0_1_1) = all_756_0_787
% 223.23/175.57 |
% 223.23/175.57 | From (2270) and (1338) follows:
% 223.23/175.57 | (2846) addition(one, one) = all_775_0_812
% 223.23/175.57 |
% 223.23/175.57 | From (2711) and (1406) follows:
% 223.23/175.57 | (2847) addition(one, all_0_1_1) = all_857_0_905
% 223.23/175.57 |
% 223.23/175.57 | From (2711) and (1222) follows:
% 223.23/175.57 | (2848) addition(one, one) = all_633_0_627
% 223.23/175.57 |
% 223.23/175.57 | From (2499)(2667) and (1062) follows:
% 223.23/175.57 | (2849) addition(zero, zero) = all_420_0_401
% 223.23/175.57 |
% 223.23/175.57 | From (2711) and (1225) follows:
% 223.23/175.57 | (2850) addition(all_178_0_198, one) = all_637_0_629
% 223.23/175.57 |
% 223.23/175.57 | From (2652)(2763) and (1437) follows:
% 223.23/175.57 | (2851) addition(all_44_0_29, one) = all_135_0_141
% 223.23/175.57 |
% 223.23/175.57 | From (2652)(2713) and (934) follows:
% 223.23/175.57 | (2852) addition(all_44_0_29, one) = all_264_0_238
% 223.23/175.57 |
% 223.23/175.57 | From (2652) and (1708) follows:
% 223.23/175.57 | (2853) addition(all_44_0_29, one) = all_44_0_29
% 223.23/175.57 |
% 223.23/175.57 | From (2672)(2751) and (1228) follows:
% 223.23/175.57 | (2854) addition(all_120_0_110, zero) = all_120_0_110
% 223.23/175.57 |
% 223.23/175.57 | From (2719) and (1633) follows:
% 223.23/175.57 | (2855) addition(all_44_0_29, one) = all_1198_0_1325
% 223.23/175.57 |
% 223.23/175.57 | From (2713)(2499) and (937) follows:
% 223.23/175.57 | (2856) addition(one, zero) = all_271_0_245
% 223.23/175.57 |
% 223.23/175.57 | From (2713)(2667) and (1005) follows:
% 223.23/175.57 | (2857) addition(one, zero) = all_335_0_305
% 223.23/175.57 |
% 223.23/175.57 | From (2667)(2672) and (1192) follows:
% 223.23/175.57 | (2858) addition(zero, all_585_0_562) = all_120_0_110
% 223.23/175.57 |
% 223.23/175.57 | From (2667) and (1001) follows:
% 223.23/175.58 | (2859) addition(zero, all_329_0_297) = all_20_0_17
% 223.23/175.58 |
% 223.23/175.58 | From (2667)(2270) and (1218) follows:
% 223.23/175.58 | (2860) addition(zero, one) = all_630_0_623
% 223.23/175.58 |
% 223.23/175.58 | From (2667)(2711) and (1215) follows:
% 223.23/175.58 | (2861) addition(zero, one) = all_628_0_622
% 223.23/175.58 |
% 223.23/175.58 | From (2667)(2499) and (1089) follows:
% 223.23/175.58 | (2862) addition(zero, zero) = all_466_0_453
% 223.23/175.58 |
% 223.23/175.58 | From (2667)(2713) and (1052) follows:
% 223.23/175.58 | (2863) addition(zero, one) = all_396_0_381
% 223.23/175.58 |
% 223.23/175.58 | From (2667) and (721) follows:
% 223.23/175.58 | (2864) addition(zero, all_44_0_29) = all_135_0_141
% 223.23/175.58 |
% 223.23/175.58 | From (2667) and (1527) follows:
% 223.23/175.58 | (2865) addition(zero, all_0_1_1) = all_1029_0_1100
% 223.23/175.58 |
% 223.23/175.58 | From (2214) and (1564) follows:
% 223.23/175.58 | (1290) addition(all_44_0_29, one) = all_699_0_706
% 223.23/175.58 |
% 223.23/175.58 | From (2710) and (322) follows:
% 223.23/175.58 | (2867) addition(all_0_2_2, all_0_1_1) = all_152_0_162
% 223.23/175.58 |
% 223.23/175.58 | From (2672) and (1528) follows:
% 223.23/175.58 | (2868) addition(all_20_0_17, all_1029_0_1100) = all_120_0_110
% 223.23/175.58 |
% 223.23/175.58 | From (2769)(2672) and (1524) follows:
% 223.23/175.58 | (2869) addition(all_20_0_17, all_120_0_110) = all_120_0_110
% 223.23/175.58 |
% 223.23/175.58 | From (2710) and (1216) follows:
% 223.23/175.58 | (2870) addition(all_20_0_17, all_628_0_622) = all_0_2_2
% 223.23/175.58 |
% 223.23/175.58 | From (2638) and (1081) follows:
% 223.23/175.58 | (2871) addition(all_20_0_17, all_44_0_29) = all_152_0_162
% 223.23/175.58 |
% 223.23/175.58 | From (2652) and (1500) follows:
% 223.23/175.58 | (2872) addition(all_20_0_17, all_44_0_29) = all_987_0_1063
% 223.23/175.58 |
% 223.23/175.58 | From (2719) and (1111) follows:
% 223.23/175.58 | (2873) addition(all_20_0_17, all_44_0_29) = all_497_0_476
% 223.23/175.58 |
% 223.23/175.58 | From (2605) and (1150) follows:
% 223.23/175.58 | (569) addition(all_20_0_17, all_44_0_29) = all_26_0_19
% 223.23/175.58 |
% 223.23/175.58 | From (2672) and (326) follows:
% 223.23/175.58 | (842) addition(all_20_0_17, all_0_1_1) = all_120_0_110
% 223.23/175.58 |
% 223.23/175.58 | From (2735) and (1018) follows:
% 223.23/175.58 | (2876) addition(all_0_1_1, one) = all_135_0_141
% 223.23/175.58 |
% 223.23/175.58 | From (2499) and (1124) follows:
% 223.23/175.58 | (2877) addition(all_0_1_1, zero) = all_513_0_489
% 223.23/175.58 |
% 223.23/175.58 | From (2667) and (1121) follows:
% 223.23/175.58 | (2878) addition(all_0_1_1, zero) = all_511_0_488
% 223.23/175.58 |
% 223.23/175.58 | From (2534) and (1148) follows:
% 223.23/175.58 | (2879) addition(all_0_1_1, zero) = all_0_1_1
% 223.23/175.58 |
% 223.23/175.58 | From (2299) and (1552) follows:
% 223.23/175.58 | (1095) addition(all_0_2_2, all_20_0_17) = all_477_0_461
% 223.23/175.58 |
% 223.23/175.58 | From (2755) and (1287) follows:
% 223.23/175.58 | (2881) addition(one, all_120_0_110) = all_152_0_162
% 223.23/175.58 |
% 223.23/175.58 | From (2499) and (1714) follows:
% 223.23/175.58 | (2882) addition(one, zero) = all_428_0_411
% 223.23/175.58 |
% 223.23/175.58 | From (2652) and (1715) follows:
% 223.23/175.58 | (2883) addition(one, all_44_0_29) = all_44_0_29
% 223.23/175.58 |
% 223.23/175.58 | From (2719) and (1716) follows:
% 223.23/175.58 | (2884) addition(one, all_44_0_29) = all_493_0_474
% 223.23/175.58 |
% 223.23/175.58 | From (2713) and (940) follows:
% 223.23/175.58 | (2885) addition(one, one) = all_273_0_246
% 223.23/175.58 |
% 223.23/175.58 | From (2258) and (1134) follows:
% 223.23/175.58 | (1102) addition(one, all_44_0_29) = all_484_0_467
% 223.23/175.58 |
% 223.23/175.58 | From (2719) and (319) follows:
% 223.23/175.58 | (1728) addition(one, all_0_1_1) = all_44_0_29
% 223.23/175.58 |
% 223.23/175.58 | From (2711) and (920) follows:
% 223.23/175.58 | (2888) addition(one, zero) = one
% 223.23/175.58 |
% 223.23/175.58 | From (2270) and (1326) follows:
% 223.23/175.58 | (2889) addition(zero, one) = all_758_0_788
% 223.23/175.58 |
% 223.23/175.58 | From (2711) and (1404) follows:
% 223.23/175.58 | (2890) addition(zero, one) = all_855_0_904
% 223.23/175.58 |
% 223.23/175.58 | From (2499) and (1316) follows:
% 223.23/175.58 | (2891) addition(zero, zero) = all_740_0_773
% 223.23/175.58 |
% 223.23/175.58 | From (2272) and (1201) follows:
% 223.23/175.58 | (1127) addition(zero, all_0_1_1) = all_519_0_492
% 223.23/175.58 |
% 223.23/175.58 | From (2711) and (393) follows:
% 223.23/175.59 | (2893) addition(zero, one) = one
% 223.23/175.59 |
% 223.23/175.59 +-Applying beta-rule and splitting (1204), into two cases.
% 223.23/175.59 |-Branch one:
% 223.23/175.59 | (2894) all_609_0_594 = 0 & leq(all_609_1_595, zero) = 0 & star(zero) = all_609_2_596 & multiplication(all_49_1_36, all_609_2_596) = all_609_1_595
% 223.23/175.59 |
% 223.23/175.59 | Applying alpha-rule on (2894) yields:
% 223.23/175.59 | (2895) all_609_0_594 = 0
% 223.23/175.59 | (2896) leq(all_609_1_595, zero) = 0
% 223.23/175.59 | (2897) star(zero) = all_609_2_596
% 223.23/175.59 | (2898) multiplication(all_49_1_36, all_609_2_596) = all_609_1_595
% 223.23/175.59 |
% 223.23/175.59 +-Applying beta-rule and splitting (1484), into two cases.
% 223.23/175.59 |-Branch one:
% 223.23/175.59 | (2899) all_950_0_1020 = 0 & strong_iteration(all_20_1_18) = all_950_2_1022 & leq(one, all_950_1_1021) = 0 & multiplication(all_950_2_1022, all_49_1_36) = all_950_1_1021
% 223.23/175.59 |
% 223.23/175.59 | Applying alpha-rule on (2899) yields:
% 223.23/175.59 | (2900) all_950_0_1020 = 0
% 223.23/175.59 | (2901) strong_iteration(all_20_1_18) = all_950_2_1022
% 223.23/175.59 | (2902) leq(one, all_950_1_1021) = 0
% 223.23/175.59 | (2903) multiplication(all_950_2_1022, all_49_1_36) = all_950_1_1021
% 223.23/175.59 |
% 223.23/175.59 | From (1658) and (2901) follows:
% 223.23/175.59 | (2904) strong_iteration(one) = all_950_2_1022
% 223.23/175.59 |
% 223.23/175.59 | From (2667) and (2903) follows:
% 223.23/175.59 | (2905) multiplication(all_950_2_1022, zero) = all_950_1_1021
% 223.23/175.59 |
% 223.23/175.59 +-Applying beta-rule and splitting (270), into two cases.
% 223.23/175.59 |-Branch one:
% 223.23/175.59 | (2906) all_108_0_94 = 0 & leq(all_108_1_95, all_0_2_2) = 0 & star(zero) = all_108_2_96 & multiplication(one, all_108_2_96) = all_108_1_95
% 223.23/175.59 |
% 223.23/175.59 | Applying alpha-rule on (2906) yields:
% 223.23/175.59 | (2907) all_108_0_94 = 0
% 223.23/175.59 | (2908) leq(all_108_1_95, all_0_2_2) = 0
% 223.23/175.59 | (2909) star(zero) = all_108_2_96
% 223.23/175.59 | (2910) multiplication(one, all_108_2_96) = all_108_1_95
% 223.23/175.59 |
% 223.23/175.59 +-Applying beta-rule and splitting (1186), into two cases.
% 223.23/175.59 |-Branch one:
% 223.23/175.59 | (2911) all_582_0_558 = 0 & leq(all_582_1_559, all_20_1_18) = 0 & star(one) = all_582_2_560 & multiplication(all_582_2_560, all_49_1_36) = all_582_1_559
% 223.23/175.59 |
% 223.23/175.59 | Applying alpha-rule on (2911) yields:
% 223.23/175.59 | (2912) all_582_0_558 = 0
% 223.23/175.59 | (2913) leq(all_582_1_559, all_20_1_18) = 0
% 223.23/175.59 | (2914) star(one) = all_582_2_560
% 223.23/175.59 | (2915) multiplication(all_582_2_560, all_49_1_36) = all_582_1_559
% 223.23/175.59 |
% 223.23/175.59 | From (1658) and (2913) follows:
% 223.23/175.59 | (2916) leq(all_582_1_559, one) = 0
% 223.23/175.59 |
% 223.23/175.59 | From (2667) and (2915) follows:
% 223.23/175.59 | (2917) multiplication(all_582_2_560, zero) = all_582_1_559
% 223.23/175.59 |
% 223.23/175.59 +-Applying beta-rule and splitting (1205), into two cases.
% 223.23/175.59 |-Branch one:
% 223.23/175.59 | (2918) all_610_0_597 = 0 & leq(all_610_1_598, zero) = 0 & star(one) = all_610_2_599 & multiplication(all_610_2_599, all_49_1_36) = all_610_1_598
% 223.23/175.59 |
% 223.23/175.59 | Applying alpha-rule on (2918) yields:
% 223.23/175.59 | (2919) all_610_0_597 = 0
% 223.23/175.59 | (2920) leq(all_610_1_598, zero) = 0
% 223.23/175.59 | (2921) star(one) = all_610_2_599
% 223.23/175.59 | (2922) multiplication(all_610_2_599, all_49_1_36) = all_610_1_598
% 223.23/175.59 |
% 223.23/175.59 | From (2667) and (2922) follows:
% 223.23/175.59 | (2923) multiplication(all_610_2_599, zero) = all_610_1_598
% 223.23/175.59 |
% 223.23/175.59 +-Applying beta-rule and splitting (1435), into two cases.
% 223.23/175.59 |-Branch one:
% 223.23/175.59 | (2924) all_881_0_928 = 0 & leq(all_881_1_929, all_0_2_2) = 0 & star(zero) = all_881_2_930 & multiplication(all_203_0_232, all_881_2_930) = all_881_1_929
% 223.23/175.59 |
% 223.23/175.59 | Applying alpha-rule on (2924) yields:
% 223.23/175.59 | (2925) all_881_0_928 = 0
% 223.23/175.59 | (2926) leq(all_881_1_929, all_0_2_2) = 0
% 223.23/175.59 | (2927) star(zero) = all_881_2_930
% 223.23/175.59 | (2928) multiplication(all_203_0_232, all_881_2_930) = all_881_1_929
% 223.23/175.59 |
% 223.23/175.59 +-Applying beta-rule and splitting (1099), into two cases.
% 223.23/175.59 |-Branch one:
% 223.23/175.59 | (2929) all_483_0_464 = 0 & leq(all_483_1_465, one) = 0 & star(zero) = all_483_2_466 & multiplication(one, all_483_2_466) = all_483_1_465
% 223.23/175.59 |
% 223.23/175.59 | Applying alpha-rule on (2929) yields:
% 223.23/175.59 | (2930) all_483_0_464 = 0
% 223.23/175.59 | (2931) leq(all_483_1_465, one) = 0
% 223.23/175.59 | (2932) star(zero) = all_483_2_466
% 223.23/175.59 | (2933) multiplication(one, all_483_2_466) = all_483_1_465
% 223.23/175.59 |
% 223.23/175.59 +-Applying beta-rule and splitting (1143), into two cases.
% 223.23/175.59 |-Branch one:
% 223.23/175.59 | (2934) all_554_0_528 = 0 & leq(all_554_1_529, all_38_0_20) = 0 & star(one) = all_554_2_530 & multiplication(all_554_2_530, all_20_1_18) = all_554_1_529
% 223.23/175.59 |
% 223.23/175.59 | Applying alpha-rule on (2934) yields:
% 223.23/175.59 | (2935) all_554_0_528 = 0
% 223.23/175.59 | (2936) leq(all_554_1_529, all_38_0_20) = 0
% 223.23/175.59 | (2937) star(one) = all_554_2_530
% 223.23/175.59 | (2938) multiplication(all_554_2_530, all_20_1_18) = all_554_1_529
% 223.23/175.59 |
% 223.23/175.59 +-Applying beta-rule and splitting (1145), into two cases.
% 223.23/175.59 |-Branch one:
% 223.23/175.59 | (2939) all_556_0_534 = 0 & leq(all_556_1_535, one) = 0 & star(zero) = all_556_2_536 & multiplication(all_20_1_18, all_556_2_536) = all_556_1_535
% 223.23/175.59 |
% 223.23/175.59 | Applying alpha-rule on (2939) yields:
% 223.23/175.59 | (2940) all_556_0_534 = 0
% 223.23/175.59 | (2941) leq(all_556_1_535, one) = 0
% 223.23/175.59 | (2942) star(zero) = all_556_2_536
% 223.23/175.59 | (2943) multiplication(all_20_1_18, all_556_2_536) = all_556_1_535
% 223.23/175.59 |
% 223.23/175.59 +-Applying beta-rule and splitting (1142), into two cases.
% 223.23/175.59 |-Branch one:
% 223.23/175.59 | (2944) all_552_0_522 = 0 & strong_iteration(one) = all_552_2_524 & leq(all_38_0_20, all_552_1_523) = 0 & multiplication(all_552_2_524, one) = all_552_1_523
% 223.23/175.59 |
% 223.23/175.59 | Applying alpha-rule on (2944) yields:
% 223.23/175.59 | (2945) all_552_0_522 = 0
% 223.23/175.59 | (2946) strong_iteration(one) = all_552_2_524
% 223.23/175.59 | (2947) leq(all_38_0_20, all_552_1_523) = 0
% 223.23/175.59 | (2948) multiplication(all_552_2_524, one) = all_552_1_523
% 223.23/175.59 |
% 223.23/175.59 +-Applying beta-rule and splitting (1002), into two cases.
% 223.23/175.59 |-Branch one:
% 223.23/175.59 | (2949) all_333_0_299 = 0 & strong_iteration(all_20_1_18) = all_333_2_301 & leq(zero, all_333_1_300) = 0 & multiplication(all_333_2_301, all_0_2_2) = all_333_1_300
% 223.23/175.59 |
% 223.23/175.59 | Applying alpha-rule on (2949) yields:
% 223.23/175.59 | (2950) all_333_0_299 = 0
% 223.23/175.59 | (2951) strong_iteration(all_20_1_18) = all_333_2_301
% 223.23/175.59 | (2952) leq(zero, all_333_1_300) = 0
% 223.23/175.59 | (2953) multiplication(all_333_2_301, all_0_2_2) = all_333_1_300
% 223.23/175.59 |
% 223.23/175.59 | From (1658) and (2951) follows:
% 223.23/175.59 | (2954) strong_iteration(one) = all_333_2_301
% 223.23/175.59 |
% 223.23/175.59 +-Applying beta-rule and splitting (1354), into two cases.
% 223.23/175.59 |-Branch one:
% 223.23/175.59 | (2955) all_812_0_845 = 0 & leq(all_812_1_846, zero) = 0 & star(zero) = all_812_2_847 & multiplication(all_812_2_847, all_49_1_36) = all_812_1_846
% 223.23/175.59 |
% 223.23/175.59 | Applying alpha-rule on (2955) yields:
% 223.23/175.59 | (2956) all_812_0_845 = 0
% 223.23/175.60 | (2957) leq(all_812_1_846, zero) = 0
% 223.23/175.60 | (2958) star(zero) = all_812_2_847
% 223.23/175.60 | (2959) multiplication(all_812_2_847, all_49_1_36) = all_812_1_846
% 223.23/175.60 |
% 223.23/175.60 +-Applying beta-rule and splitting (1203), into two cases.
% 223.23/175.60 |-Branch one:
% 223.23/175.60 | (2960) all_608_0_591 = 0 & strong_iteration(one) = all_608_2_593 & leq(all_20_1_18, all_608_1_592) = 0 & multiplication(all_608_2_593, all_49_1_36) = all_608_1_592
% 223.23/175.60 |
% 223.23/175.60 | Applying alpha-rule on (2960) yields:
% 223.23/175.60 | (2961) all_608_0_591 = 0
% 223.23/175.60 | (2962) strong_iteration(one) = all_608_2_593
% 223.23/175.60 | (2963) leq(all_20_1_18, all_608_1_592) = 0
% 223.23/175.60 | (2964) multiplication(all_608_2_593, all_49_1_36) = all_608_1_592
% 223.23/175.60 |
% 223.23/175.60 | From (1658) and (2963) follows:
% 223.23/175.60 | (2965) leq(one, all_608_1_592) = 0
% 223.23/175.60 |
% 223.23/175.60 | From (2667) and (2964) follows:
% 223.23/175.60 | (2966) multiplication(all_608_2_593, zero) = all_608_1_592
% 223.23/175.60 |
% 223.23/175.60 +-Applying beta-rule and splitting (1243), into two cases.
% 223.23/175.60 |-Branch one:
% 223.23/175.60 | (2967) all_664_0_666 = 0 & leq(all_664_1_667, all_38_0_20) = 0 & star(one) = all_664_2_668 & multiplication(all_664_2_668, one) = all_664_1_667
% 223.23/175.60 |
% 223.23/175.60 | Applying alpha-rule on (2967) yields:
% 223.23/175.60 | (2968) all_664_0_666 = 0
% 223.23/175.60 | (2969) leq(all_664_1_667, all_38_0_20) = 0
% 223.23/175.60 | (2970) star(one) = all_664_2_668
% 223.23/175.60 | (2971) multiplication(all_664_2_668, one) = all_664_1_667
% 223.23/175.60 |
% 223.23/175.60 +-Applying beta-rule and splitting (1483), into two cases.
% 223.23/175.60 |-Branch one:
% 223.23/175.60 | (2972) all_949_0_1017 = 0 & leq(all_949_1_1018, one) = 0 & star(all_20_1_18) = all_949_2_1019 & multiplication(all_949_2_1019, all_49_1_36) = all_949_1_1018
% 223.23/175.60 |
% 223.23/175.60 | Applying alpha-rule on (2972) yields:
% 223.23/175.60 | (2973) all_949_0_1017 = 0
% 223.23/175.60 | (2974) leq(all_949_1_1018, one) = 0
% 223.23/175.60 | (2975) star(all_20_1_18) = all_949_2_1019
% 223.23/175.60 | (2976) multiplication(all_949_2_1019, all_49_1_36) = all_949_1_1018
% 223.23/175.60 |
% 223.23/175.60 | From (1658) and (2975) follows:
% 223.23/175.60 | (2977) star(one) = all_949_2_1019
% 223.23/175.60 |
% 223.23/175.60 | From (2667) and (2976) follows:
% 223.23/175.60 | (2978) multiplication(all_949_2_1019, zero) = all_949_1_1018
% 223.23/175.60 |
% 223.23/175.60 +-Applying beta-rule and splitting (1493), into two cases.
% 223.23/175.60 |-Branch one:
% 223.23/175.60 | (2979) all_965_0_1036 = 0 & leq(all_965_1_1037, all_20_1_18) = 0 & star(one) = all_965_2_1038 & multiplication(all_49_1_36, all_965_2_1038) = all_965_1_1037
% 223.23/175.60 |
% 223.23/175.60 | Applying alpha-rule on (2979) yields:
% 223.23/175.60 | (2980) all_965_0_1036 = 0
% 223.23/175.60 | (2981) leq(all_965_1_1037, all_20_1_18) = 0
% 223.23/175.60 | (2982) star(one) = all_965_2_1038
% 223.23/175.60 | (2983) multiplication(all_49_1_36, all_965_2_1038) = all_965_1_1037
% 223.23/175.60 |
% 223.23/175.60 +-Applying beta-rule and splitting (1083), into two cases.
% 223.23/175.60 |-Branch one:
% 223.23/175.60 | (2984) all_456_0_431 = 0 & strong_iteration(one) = all_456_2_433 & leq(one, all_456_1_432) = 0 & multiplication(all_456_2_433, all_20_0_17) = all_456_1_432
% 223.23/175.60 |
% 223.23/175.60 | Applying alpha-rule on (2984) yields:
% 223.23/175.60 | (2985) all_456_0_431 = 0
% 223.23/175.60 | (2986) strong_iteration(one) = all_456_2_433
% 223.23/175.60 | (2987) leq(one, all_456_1_432) = 0
% 223.23/175.60 | (2988) multiplication(all_456_2_433, all_20_0_17) = all_456_1_432
% 223.23/175.60 |
% 223.23/175.60 +-Applying beta-rule and splitting (1086), into two cases.
% 223.23/175.60 |-Branch one:
% 223.23/175.60 | (2989) all_465_0_450 = 0 & strong_iteration(all_20_1_18) = all_465_2_452 & leq(zero, all_465_1_451) = 0 & multiplication(all_465_2_452, all_38_0_20) = all_465_1_451
% 223.23/175.60 |
% 223.23/175.60 | Applying alpha-rule on (2989) yields:
% 223.23/175.60 | (2990) all_465_0_450 = 0
% 223.23/175.60 | (2991) strong_iteration(all_20_1_18) = all_465_2_452
% 223.23/175.60 | (2992) leq(zero, all_465_1_451) = 0
% 223.23/175.60 | (2993) multiplication(all_465_2_452, all_38_0_20) = all_465_1_451
% 223.23/175.60 |
% 223.23/175.60 | From (1658) and (2991) follows:
% 223.23/175.60 | (2994) strong_iteration(one) = all_465_2_452
% 223.23/175.60 |
% 223.23/175.60 | From (2710) and (2993) follows:
% 223.23/175.60 | (2995) multiplication(all_465_2_452, all_0_2_2) = all_465_1_451
% 223.23/175.60 |
% 223.23/175.60 +-Applying beta-rule and splitting (1485), into two cases.
% 223.23/175.60 |-Branch one:
% 223.23/175.60 | (2996) all_953_0_1024 = 0 & leq(all_953_1_1025, one) = 0 & star(all_20_1_18) = all_953_2_1026 & multiplication(all_49_1_36, all_953_2_1026) = all_953_1_1025
% 223.23/175.60 |
% 223.23/175.60 | Applying alpha-rule on (2996) yields:
% 223.23/175.60 | (2997) all_953_0_1024 = 0
% 223.23/175.60 | (2998) leq(all_953_1_1025, one) = 0
% 223.23/175.60 | (2999) star(all_20_1_18) = all_953_2_1026
% 223.23/175.60 | (3000) multiplication(all_49_1_36, all_953_2_1026) = all_953_1_1025
% 223.23/175.60 |
% 223.23/175.60 | From (1658) and (2999) follows:
% 223.23/175.60 | (3001) star(one) = all_953_2_1026
% 223.23/175.60 |
% 223.23/175.60 | From (2667) and (3000) follows:
% 223.23/175.60 | (3002) multiplication(zero, all_953_2_1026) = all_953_1_1025
% 223.23/175.60 |
% 223.23/175.60 +-Applying beta-rule and splitting (1144), into two cases.
% 223.23/175.60 |-Branch one:
% 223.41/175.60 | (3003) all_555_0_531 = 0 & strong_iteration(one) = all_555_2_533 & leq(all_38_0_20, all_555_1_532) = 0 & multiplication(all_555_2_533, all_20_1_18) = all_555_1_532
% 223.41/175.60 |
% 223.41/175.60 | Applying alpha-rule on (3003) yields:
% 223.41/175.60 | (3004) all_555_0_531 = 0
% 223.41/175.60 | (3005) strong_iteration(one) = all_555_2_533
% 223.41/175.60 | (3006) leq(all_38_0_20, all_555_1_532) = 0
% 223.41/175.60 | (3007) multiplication(all_555_2_533, all_20_1_18) = all_555_1_532
% 223.41/175.60 |
% 223.41/175.60 | Instantiating formula (29) with one, all_608_2_593, all_950_2_1022 and discharging atoms strong_iteration(one) = all_950_2_1022, strong_iteration(one) = all_608_2_593, yields:
% 223.41/175.60 | (3008) all_950_2_1022 = all_608_2_593
% 223.41/175.60 |
% 223.41/175.60 | Instantiating formula (29) with one, all_555_2_533, all_608_2_593 and discharging atoms strong_iteration(one) = all_608_2_593, strong_iteration(one) = all_555_2_533, yields:
% 223.41/175.60 | (3009) all_608_2_593 = all_555_2_533
% 223.41/175.60 |
% 223.41/175.60 | Instantiating formula (29) with one, all_552_2_524, all_608_2_593 and discharging atoms strong_iteration(one) = all_608_2_593, strong_iteration(one) = all_552_2_524, yields:
% 223.41/175.60 | (3010) all_608_2_593 = all_552_2_524
% 223.41/175.60 |
% 223.41/175.60 | Instantiating formula (29) with one, all_465_2_452, all_552_2_524 and discharging atoms strong_iteration(one) = all_552_2_524, strong_iteration(one) = all_465_2_452, yields:
% 223.41/175.60 | (3011) all_552_2_524 = all_465_2_452
% 223.41/175.60 |
% 223.41/175.60 | Instantiating formula (29) with one, all_456_2_433, all_0_2_2 and discharging atoms strong_iteration(one) = all_456_2_433, strong_iteration(one) = all_0_2_2, yields:
% 223.41/175.60 | (3012) all_456_2_433 = all_0_2_2
% 223.41/175.60 |
% 223.41/175.60 | Instantiating formula (29) with one, all_456_2_433, all_465_2_452 and discharging atoms strong_iteration(one) = all_465_2_452, strong_iteration(one) = all_456_2_433, yields:
% 223.41/175.60 | (3013) all_465_2_452 = all_456_2_433
% 223.41/175.60 |
% 223.41/175.60 | Instantiating formula (29) with one, all_333_2_301, all_950_2_1022 and discharging atoms strong_iteration(one) = all_950_2_1022, strong_iteration(one) = all_333_2_301, yields:
% 223.41/175.60 | (3014) all_950_2_1022 = all_333_2_301
% 223.41/175.60 |
% 223.41/175.60 | Instantiating formula (29) with zero, all_391_2_373, all_720_2_743 and discharging atoms strong_iteration(zero) = all_720_2_743, strong_iteration(zero) = all_391_2_373, yields:
% 223.41/175.60 | (3015) all_720_2_743 = all_391_2_373
% 223.41/175.60 |
% 223.41/175.60 | Instantiating formula (31) with one, all_965_2_1038, one and discharging atoms star(one) = all_965_2_1038, star(one) = one, yields:
% 223.41/175.60 | (3016) all_965_2_1038 = one
% 223.41/175.60 |
% 223.41/175.60 | Instantiating formula (31) with one, all_953_2_1026, all_965_2_1038 and discharging atoms star(one) = all_965_2_1038, star(one) = all_953_2_1026, yields:
% 223.41/175.60 | (3017) all_965_2_1038 = all_953_2_1026
% 223.41/175.60 |
% 223.41/175.60 | Instantiating formula (31) with one, all_949_2_1019, all_953_2_1026 and discharging atoms star(one) = all_953_2_1026, star(one) = all_949_2_1019, yields:
% 223.41/175.60 | (3018) all_953_2_1026 = all_949_2_1019
% 223.41/175.60 |
% 223.41/175.60 | Instantiating formula (31) with one, all_664_2_668, all_953_2_1026 and discharging atoms star(one) = all_953_2_1026, star(one) = all_664_2_668, yields:
% 223.41/175.60 | (3019) all_953_2_1026 = all_664_2_668
% 223.41/175.60 |
% 223.41/175.60 | Instantiating formula (31) with one, all_582_2_560, all_664_2_668 and discharging atoms star(one) = all_664_2_668, star(one) = all_582_2_560, yields:
% 223.41/175.60 | (3020) all_664_2_668 = all_582_2_560
% 223.41/175.60 |
% 223.41/175.60 | Instantiating formula (31) with one, all_582_2_560, all_610_2_599 and discharging atoms star(one) = all_610_2_599, star(one) = all_582_2_560, yields:
% 223.41/175.61 | (3021) all_610_2_599 = all_582_2_560
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (31) with one, all_554_2_530, all_610_2_599 and discharging atoms star(one) = all_610_2_599, star(one) = all_554_2_530, yields:
% 223.41/175.61 | (3022) all_610_2_599 = all_554_2_530
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (31) with zero, all_812_2_847, all_177_2_197 and discharging atoms star(zero) = all_812_2_847, star(zero) = all_177_2_197, yields:
% 223.41/175.61 | (3023) all_812_2_847 = all_177_2_197
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (31) with zero, all_812_2_847, all_881_2_930 and discharging atoms star(zero) = all_881_2_930, star(zero) = all_812_2_847, yields:
% 223.41/175.61 | (3024) all_881_2_930 = all_812_2_847
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (31) with zero, all_609_2_596, all_812_2_847 and discharging atoms star(zero) = all_812_2_847, star(zero) = all_609_2_596, yields:
% 223.41/175.61 | (3025) all_812_2_847 = all_609_2_596
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (31) with zero, all_556_2_536, all_881_2_930 and discharging atoms star(zero) = all_881_2_930, star(zero) = all_556_2_536, yields:
% 223.41/175.61 | (3026) all_881_2_930 = all_556_2_536
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (31) with zero, all_483_2_466, all_812_2_847 and discharging atoms star(zero) = all_812_2_847, star(zero) = all_483_2_466, yields:
% 223.41/175.61 | (3027) all_812_2_847 = all_483_2_466
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (31) with zero, all_108_2_96, all_483_2_466 and discharging atoms star(zero) = all_483_2_466, star(zero) = all_108_2_96, yields:
% 223.41/175.61 | (3028) all_483_2_466 = all_108_2_96
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (19) with all_0_2_2, all_178_0_198, all_402_1_385, all_1101_1_1184 and discharging atoms multiplication(all_0_2_2, all_178_0_198) = all_1101_1_1184, multiplication(all_0_2_2, all_178_0_198) = all_402_1_385, yields:
% 223.41/175.61 | (3029) all_1101_1_1184 = all_402_1_385
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (19) with all_0_2_2, all_178_0_198, all_360_0_332, all_1101_1_1184 and discharging atoms multiplication(all_0_2_2, all_178_0_198) = all_1101_1_1184, multiplication(all_0_2_2, all_178_0_198) = all_360_0_332, yields:
% 223.41/175.61 | (3030) all_1101_1_1184 = all_360_0_332
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (19) with all_0_2_2, all_120_0_110, all_655_1_654, all_822_1_866 and discharging atoms multiplication(all_0_2_2, all_120_0_110) = all_822_1_866, multiplication(all_0_2_2, all_120_0_110) = all_655_1_654, yields:
% 223.41/175.61 | (3031) all_822_1_866 = all_655_1_654
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (19) with all_0_2_2, all_20_0_17, all_736_1_766, all_1091_1_1164 and discharging atoms multiplication(all_0_2_2, all_20_0_17) = all_1091_1_1164, multiplication(all_0_2_2, all_20_0_17) = all_736_1_766, yields:
% 223.41/175.61 | (3032) all_1091_1_1164 = all_736_1_766
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (19) with all_0_2_2, all_20_0_17, all_392_1_375, all_291_0_257 and discharging atoms multiplication(all_0_2_2, all_20_0_17) = all_392_1_375, multiplication(all_0_2_2, all_20_0_17) = all_291_0_257, yields:
% 223.41/175.61 | (3033) all_392_1_375 = all_291_0_257
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (19) with all_0_2_2, all_20_0_17, all_183_1_206, all_736_1_766 and discharging atoms multiplication(all_0_2_2, all_20_0_17) = all_736_1_766, multiplication(all_0_2_2, all_20_0_17) = all_183_1_206, yields:
% 223.41/175.61 | (3034) all_736_1_766 = all_183_1_206
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (19) with all_0_2_2, all_20_0_17, all_183_1_206, all_392_1_375 and discharging atoms multiplication(all_0_2_2, all_20_0_17) = all_392_1_375, multiplication(all_0_2_2, all_20_0_17) = all_183_1_206, yields:
% 223.41/175.61 | (3035) all_392_1_375 = all_183_1_206
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (19) with all_0_2_2, all_20_0_17, all_110_1_101, all_1091_1_1164 and discharging atoms multiplication(all_0_2_2, all_20_0_17) = all_1091_1_1164, multiplication(all_0_2_2, all_20_0_17) = all_110_1_101, yields:
% 223.41/175.61 | (3036) all_1091_1_1164 = all_110_1_101
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (19) with all_0_2_2, all_20_0_17, all_87_1_63, all_392_1_375 and discharging atoms multiplication(all_0_2_2, all_20_0_17) = all_392_1_375, multiplication(all_0_2_2, all_20_0_17) = all_87_1_63, yields:
% 223.41/175.61 | (3037) all_392_1_375 = all_87_1_63
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (19) with all_0_2_2, all_0_2_2, all_920_0_978, all_1219_1_1366 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_1219_1_1366, multiplication(all_0_2_2, all_0_2_2) = all_920_0_978, yields:
% 223.41/175.61 | (3038) all_1219_1_1366 = all_920_0_978
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (19) with all_0_2_2, all_0_2_2, all_565_1_544, all_920_0_978 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_920_0_978, multiplication(all_0_2_2, all_0_2_2) = all_565_1_544, yields:
% 223.41/175.61 | (3039) all_920_0_978 = all_565_1_544
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (19) with all_0_2_2, all_0_2_2, all_563_1_542, all_929_1_986 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_929_1_986, multiplication(all_0_2_2, all_0_2_2) = all_563_1_542, yields:
% 223.41/175.61 | (3040) all_929_1_986 = all_563_1_542
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (19) with all_0_2_2, all_0_2_2, all_563_1_542, all_565_1_544 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_565_1_544, multiplication(all_0_2_2, all_0_2_2) = all_563_1_542, yields:
% 223.41/175.61 | (3041) all_565_1_544 = all_563_1_542
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (19) with all_0_2_2, all_0_2_2, all_447_1_425, all_929_1_986 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_929_1_986, multiplication(all_0_2_2, all_0_2_2) = all_447_1_425, yields:
% 223.41/175.61 | (3042) all_929_1_986 = all_447_1_425
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (19) with all_0_2_2, all_0_2_2, all_129_1_128, all_127_1_122 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_129_1_128, multiplication(all_0_2_2, all_0_2_2) = all_127_1_122, yields:
% 223.41/175.61 | (3043) all_129_1_128 = all_127_1_122
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (19) with all_0_2_2, all_0_2_2, all_129_1_128, all_563_1_542 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_563_1_542, multiplication(all_0_2_2, all_0_2_2) = all_129_1_128, yields:
% 223.41/175.61 | (3044) all_563_1_542 = all_129_1_128
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (19) with all_0_2_2, all_0_2_2, all_82_1_53, all_1219_1_1366 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_1219_1_1366, multiplication(all_0_2_2, all_0_2_2) = all_82_1_53, yields:
% 223.41/175.61 | (3045) all_1219_1_1366 = all_82_1_53
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (19) with all_0_2_2, zero, all_818_1_854, all_1205_1_1338 and discharging atoms multiplication(all_0_2_2, zero) = all_1205_1_1338, multiplication(all_0_2_2, zero) = all_818_1_854, yields:
% 223.41/175.61 | (3046) all_1205_1_1338 = all_818_1_854
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (19) with all_0_2_2, zero, all_658_1_658, all_818_1_854 and discharging atoms multiplication(all_0_2_2, zero) = all_818_1_854, multiplication(all_0_2_2, zero) = all_658_1_658, yields:
% 223.41/175.61 | (3047) all_818_1_854 = all_658_1_658
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (19) with all_0_2_2, zero, all_459_1_441, all_658_1_658 and discharging atoms multiplication(all_0_2_2, zero) = all_658_1_658, multiplication(all_0_2_2, zero) = all_459_1_441, yields:
% 223.41/175.61 | (3048) all_658_1_658 = all_459_1_441
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (19) with all_0_2_2, zero, all_445_0_422, all_459_1_441 and discharging atoms multiplication(all_0_2_2, zero) = all_459_1_441, multiplication(all_0_2_2, zero) = all_445_0_422, yields:
% 223.41/175.61 | (3049) all_459_1_441 = all_445_0_422
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (19) with all_0_2_2, zero, all_387_1_368, all_445_0_422 and discharging atoms multiplication(all_0_2_2, zero) = all_445_0_422, multiplication(all_0_2_2, zero) = all_387_1_368, yields:
% 223.41/175.61 | (3050) all_445_0_422 = all_387_1_368
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (19) with all_0_2_2, zero, all_360_1_333, all_20_0_17 and discharging atoms multiplication(all_0_2_2, zero) = all_360_1_333, multiplication(all_0_2_2, zero) = all_20_0_17, yields:
% 223.41/175.61 | (3051) all_360_1_333 = all_20_0_17
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (19) with all_0_2_2, zero, all_360_1_333, all_387_1_368 and discharging atoms multiplication(all_0_2_2, zero) = all_387_1_368, multiplication(all_0_2_2, zero) = all_360_1_333, yields:
% 223.41/175.61 | (3052) all_387_1_368 = all_360_1_333
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (19) with all_0_2_2, zero, all_325_1_294, all_1205_1_1338 and discharging atoms multiplication(all_0_2_2, zero) = all_1205_1_1338, multiplication(all_0_2_2, zero) = all_325_1_294, yields:
% 223.41/175.61 | (3053) all_1205_1_1338 = all_325_1_294
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (19) with all_0_2_2, zero, all_184_1_209, all_360_1_333 and discharging atoms multiplication(all_0_2_2, zero) = all_360_1_333, multiplication(all_0_2_2, zero) = all_184_1_209, yields:
% 223.41/175.61 | (3054) all_360_1_333 = all_184_1_209
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (19) with all_0_2_2, zero, all_178_0_198, all_360_1_333 and discharging atoms multiplication(all_0_2_2, zero) = all_360_1_333, multiplication(all_0_2_2, zero) = all_178_0_198, yields:
% 223.41/175.61 | (3055) all_360_1_333 = all_178_0_198
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (20) with all_1087_1_1157, all_20_0_17 and discharging atoms multiplication(one, all_20_0_17) = all_1087_1_1157, yields:
% 223.41/175.61 | (3056) all_1087_1_1157 = all_20_0_17
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (6) with all_953_1_1025, all_953_2_1026 and discharging atoms multiplication(zero, all_953_2_1026) = all_953_1_1025, yields:
% 223.41/175.61 | (3057) all_953_1_1025 = zero
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (19) with zero, all_0_2_2, zero, all_327_1_296 and discharging atoms multiplication(zero, all_0_2_2) = all_327_1_296, multiplication(zero, all_0_2_2) = zero, yields:
% 223.41/175.61 | (3058) all_327_1_296 = zero
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (19) with zero, one, zero, all_978_1_1052 and discharging atoms multiplication(zero, one) = all_978_1_1052, multiplication(zero, one) = zero, yields:
% 223.41/175.61 | (3059) all_978_1_1052 = zero
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (36) with all_44_0_29, one, all_1198_0_1325, all_699_0_706 and discharging atoms addition(all_44_0_29, one) = all_1198_0_1325, addition(all_44_0_29, one) = all_699_0_706, yields:
% 223.41/175.61 | (3060) all_1198_0_1325 = all_699_0_706
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (36) with all_44_0_29, one, all_264_0_238, all_1198_0_1325 and discharging atoms addition(all_44_0_29, one) = all_1198_0_1325, addition(all_44_0_29, one) = all_264_0_238, yields:
% 223.41/175.61 | (3061) all_1198_0_1325 = all_264_0_238
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (36) with all_44_0_29, one, all_135_0_141, all_699_0_706 and discharging atoms addition(all_44_0_29, one) = all_699_0_706, addition(all_44_0_29, one) = all_135_0_141, yields:
% 223.41/175.61 | (3062) all_699_0_706 = all_135_0_141
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (36) with all_44_0_29, one, all_44_0_29, all_699_0_706 and discharging atoms addition(all_44_0_29, one) = all_699_0_706, addition(all_44_0_29, one) = all_44_0_29, yields:
% 223.41/175.61 | (3063) all_699_0_706 = all_44_0_29
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (36) with all_20_0_17, all_44_0_29, all_987_0_1063, all_26_0_19 and discharging atoms addition(all_20_0_17, all_44_0_29) = all_987_0_1063, addition(all_20_0_17, all_44_0_29) = all_26_0_19, yields:
% 223.41/175.61 | (3064) all_987_0_1063 = all_26_0_19
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (36) with all_20_0_17, all_44_0_29, all_497_0_476, all_987_0_1063 and discharging atoms addition(all_20_0_17, all_44_0_29) = all_987_0_1063, addition(all_20_0_17, all_44_0_29) = all_497_0_476, yields:
% 223.41/175.61 | (3065) all_987_0_1063 = all_497_0_476
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (36) with all_20_0_17, all_44_0_29, all_152_0_162, all_987_0_1063 and discharging atoms addition(all_20_0_17, all_44_0_29) = all_987_0_1063, addition(all_20_0_17, all_44_0_29) = all_152_0_162, yields:
% 223.41/175.61 | (3066) all_987_0_1063 = all_152_0_162
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (36) with all_0_1_1, one, all_135_0_141, all_1301_1_1375 and discharging atoms addition(all_0_1_1, one) = all_1301_1_1375, addition(all_0_1_1, one) = all_135_0_141, yields:
% 223.41/175.61 | (3067) all_1301_1_1375 = all_135_0_141
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (36) with all_0_1_1, zero, all_511_0_488, all_513_0_489 and discharging atoms addition(all_0_1_1, zero) = all_513_0_489, addition(all_0_1_1, zero) = all_511_0_488, yields:
% 223.41/175.61 | (3068) all_513_0_489 = all_511_0_488
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (36) with all_0_1_1, zero, all_0_1_1, all_513_0_489 and discharging atoms addition(all_0_1_1, zero) = all_513_0_489, addition(all_0_1_1, zero) = all_0_1_1, yields:
% 223.41/175.61 | (3069) all_513_0_489 = all_0_1_1
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (36) with all_0_2_2, all_20_0_17, all_0_2_2, all_477_0_461 and discharging atoms addition(all_0_2_2, all_20_0_17) = all_477_0_461, addition(all_0_2_2, all_20_0_17) = all_0_2_2, yields:
% 223.41/175.61 | (3070) all_477_0_461 = all_0_2_2
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (36) with one, all_44_0_29, all_501_0_483, all_746_0_777 and discharging atoms addition(one, all_44_0_29) = all_746_0_777, addition(one, all_44_0_29) = all_501_0_483, yields:
% 223.41/175.61 | (3071) all_746_0_777 = all_501_0_483
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (36) with one, all_44_0_29, all_493_0_474, all_484_0_467 and discharging atoms addition(one, all_44_0_29) = all_493_0_474, addition(one, all_44_0_29) = all_484_0_467, yields:
% 223.41/175.61 | (3072) all_493_0_474 = all_484_0_467
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (36) with one, all_44_0_29, all_493_0_474, all_746_0_777 and discharging atoms addition(one, all_44_0_29) = all_746_0_777, addition(one, all_44_0_29) = all_493_0_474, yields:
% 223.41/175.61 | (3073) all_746_0_777 = all_493_0_474
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (36) with one, all_44_0_29, all_44_0_29, all_746_0_777 and discharging atoms addition(one, all_44_0_29) = all_746_0_777, addition(one, all_44_0_29) = all_44_0_29, yields:
% 223.41/175.61 | (3074) all_746_0_777 = all_44_0_29
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (36) with one, all_0_1_1, all_857_0_905, all_44_0_29 and discharging atoms addition(one, all_0_1_1) = all_857_0_905, addition(one, all_0_1_1) = all_44_0_29, yields:
% 223.41/175.61 | (3075) all_857_0_905 = all_44_0_29
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (36) with one, all_0_1_1, all_756_0_787, all_857_0_905 and discharging atoms addition(one, all_0_1_1) = all_857_0_905, addition(one, all_0_1_1) = all_756_0_787, yields:
% 223.41/175.61 | (3076) all_857_0_905 = all_756_0_787
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (25) with all_775_0_812, one and discharging atoms addition(one, one) = all_775_0_812, yields:
% 223.41/175.61 | (3077) all_775_0_812 = one
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (36) with one, one, all_633_0_627, all_775_0_812 and discharging atoms addition(one, one) = all_775_0_812, addition(one, one) = all_633_0_627, yields:
% 223.41/175.61 | (3078) all_775_0_812 = all_633_0_627
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (36) with one, one, all_273_0_246, all_633_0_627 and discharging atoms addition(one, one) = all_633_0_627, addition(one, one) = all_273_0_246, yields:
% 223.41/175.61 | (3079) all_633_0_627 = all_273_0_246
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (36) with one, zero, all_335_0_305, all_428_0_411 and discharging atoms addition(one, zero) = all_428_0_411, addition(one, zero) = all_335_0_305, yields:
% 223.41/175.61 | (3080) all_428_0_411 = all_335_0_305
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (36) with one, zero, all_271_0_245, all_335_0_305 and discharging atoms addition(one, zero) = all_335_0_305, addition(one, zero) = all_271_0_245, yields:
% 223.41/175.61 | (3081) all_335_0_305 = all_271_0_245
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (36) with one, zero, one, all_428_0_411 and discharging atoms addition(one, zero) = all_428_0_411, addition(one, zero) = one, yields:
% 223.41/175.61 | (3082) all_428_0_411 = one
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (36) with zero, all_0_1_1, all_1029_0_1100, all_519_0_492 and discharging atoms addition(zero, all_0_1_1) = all_1029_0_1100, addition(zero, all_0_1_1) = all_519_0_492, yields:
% 223.41/175.61 | (3083) all_1029_0_1100 = all_519_0_492
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (36) with zero, one, all_630_0_623, all_855_0_904 and discharging atoms addition(zero, one) = all_855_0_904, addition(zero, one) = all_630_0_623, yields:
% 223.41/175.61 | (3084) all_855_0_904 = all_630_0_623
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (36) with zero, one, all_630_0_623, all_758_0_788 and discharging atoms addition(zero, one) = all_758_0_788, addition(zero, one) = all_630_0_623, yields:
% 223.41/175.61 | (3085) all_758_0_788 = all_630_0_623
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (36) with zero, one, all_628_0_622, all_630_0_623 and discharging atoms addition(zero, one) = all_630_0_623, addition(zero, one) = all_628_0_622, yields:
% 223.41/175.61 | (3086) all_630_0_623 = all_628_0_622
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (36) with zero, one, all_396_0_381, all_855_0_904 and discharging atoms addition(zero, one) = all_855_0_904, addition(zero, one) = all_396_0_381, yields:
% 223.41/175.61 | (3087) all_855_0_904 = all_396_0_381
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (36) with zero, one, one, all_758_0_788 and discharging atoms addition(zero, one) = all_758_0_788, addition(zero, one) = one, yields:
% 223.41/175.61 | (3088) all_758_0_788 = one
% 223.41/175.61 |
% 223.41/175.61 | Instantiating formula (36) with zero, zero, all_466_0_453, all_740_0_773 and discharging atoms addition(zero, zero) = all_740_0_773, addition(zero, zero) = all_466_0_453, yields:
% 223.41/175.61 | (3089) all_740_0_773 = all_466_0_453
% 223.41/175.62 |
% 223.41/175.62 | Instantiating formula (25) with all_466_0_453, zero and discharging atoms addition(zero, zero) = all_466_0_453, yields:
% 223.41/175.62 | (3090) all_466_0_453 = zero
% 223.41/175.62 |
% 223.41/175.62 | Instantiating formula (36) with zero, zero, all_420_0_401, all_740_0_773 and discharging atoms addition(zero, zero) = all_740_0_773, addition(zero, zero) = all_420_0_401, yields:
% 223.41/175.62 | (3091) all_740_0_773 = all_420_0_401
% 223.41/175.62 |
% 223.41/175.62 | Combining equations (3038,3045) yields a new equation:
% 223.41/175.62 | (3092) all_920_0_978 = all_82_1_53
% 223.41/175.62 |
% 223.41/175.62 | Simplifying 3092 yields:
% 223.41/175.62 | (3093) all_920_0_978 = all_82_1_53
% 223.41/175.62 |
% 223.41/175.62 | Combining equations (3046,3053) yields a new equation:
% 223.41/175.62 | (3094) all_818_1_854 = all_325_1_294
% 223.41/175.62 |
% 223.41/175.62 | Simplifying 3094 yields:
% 223.41/175.62 | (3095) all_818_1_854 = all_325_1_294
% 223.41/175.62 |
% 223.41/175.62 | Combining equations (3060,3061) yields a new equation:
% 223.41/175.62 | (3096) all_699_0_706 = all_264_0_238
% 223.41/175.62 |
% 223.41/175.62 | Simplifying 3096 yields:
% 223.41/175.62 | (3097) all_699_0_706 = all_264_0_238
% 223.41/175.62 |
% 223.41/175.62 | Combining equations (3029,3030) yields a new equation:
% 223.41/175.62 | (3098) all_402_1_385 = all_360_0_332
% 223.41/175.62 |
% 223.41/175.62 | Simplifying 3098 yields:
% 223.41/175.62 | (3099) all_402_1_385 = all_360_0_332
% 223.41/175.62 |
% 223.41/175.62 | Combining equations (3032,3036) yields a new equation:
% 223.41/175.62 | (3100) all_736_1_766 = all_110_1_101
% 223.41/175.62 |
% 223.41/175.62 | Simplifying 3100 yields:
% 223.41/175.62 | (3101) all_736_1_766 = all_110_1_101
% 223.41/175.62 |
% 223.41/175.62 | Combining equations (3066,3065) yields a new equation:
% 223.41/175.62 | (3102) all_497_0_476 = all_152_0_162
% 223.41/175.62 |
% 223.41/175.62 | Combining equations (3064,3065) yields a new equation:
% 223.41/175.62 | (3103) all_497_0_476 = all_26_0_19
% 223.41/175.62 |
% 223.41/175.62 | Combining equations (3017,3016) yields a new equation:
% 223.41/175.62 | (3104) all_953_2_1026 = one
% 223.41/175.62 |
% 223.41/175.62 | Simplifying 3104 yields:
% 223.41/175.62 | (3105) all_953_2_1026 = one
% 223.41/175.62 |
% 223.41/175.62 | Combining equations (3105,3018) yields a new equation:
% 223.41/175.62 | (3106) all_949_2_1019 = one
% 223.41/175.62 |
% 223.41/175.62 | Combining equations (3019,3018) yields a new equation:
% 223.41/175.62 | (3107) all_949_2_1019 = all_664_2_668
% 223.41/175.62 |
% 223.41/175.62 | Combining equations (3008,3014) yields a new equation:
% 223.41/175.62 | (3108) all_608_2_593 = all_333_2_301
% 223.41/175.62 |
% 223.41/175.62 | Simplifying 3108 yields:
% 223.41/175.62 | (3109) all_608_2_593 = all_333_2_301
% 223.41/175.62 |
% 223.41/175.62 | Combining equations (3107,3106) yields a new equation:
% 223.41/175.62 | (3110) all_664_2_668 = one
% 223.41/175.62 |
% 223.41/175.62 | Simplifying 3110 yields:
% 223.41/175.62 | (3111) all_664_2_668 = one
% 223.41/175.62 |
% 223.41/175.62 | Combining equations (3040,3042) yields a new equation:
% 223.41/175.62 | (3112) all_563_1_542 = all_447_1_425
% 223.41/175.62 |
% 223.41/175.62 | Simplifying 3112 yields:
% 223.41/175.62 | (3113) all_563_1_542 = all_447_1_425
% 223.41/175.62 |
% 223.41/175.62 | Combining equations (3039,3093) yields a new equation:
% 223.41/175.62 | (3114) all_565_1_544 = all_82_1_53
% 223.41/175.62 |
% 223.41/175.62 | Simplifying 3114 yields:
% 223.41/175.62 | (3115) all_565_1_544 = all_82_1_53
% 223.41/175.62 |
% 223.41/175.62 | Combining equations (3024,3026) yields a new equation:
% 223.41/175.62 | (3116) all_812_2_847 = all_556_2_536
% 223.41/175.62 |
% 223.41/175.62 | Simplifying 3116 yields:
% 223.41/175.62 | (3117) all_812_2_847 = all_556_2_536
% 223.41/175.62 |
% 223.41/175.62 | Combining equations (3075,3076) yields a new equation:
% 223.41/175.62 | (3118) all_756_0_787 = all_44_0_29
% 223.41/175.62 |
% 223.41/175.62 | Combining equations (3084,3087) yields a new equation:
% 223.41/175.62 | (3119) all_630_0_623 = all_396_0_381
% 223.41/175.62 |
% 223.41/175.62 | Simplifying 3119 yields:
% 223.41/175.62 | (3120) all_630_0_623 = all_396_0_381
% 223.41/175.62 |
% 223.41/175.62 | Combining equations (3047,3095) yields a new equation:
% 223.41/175.62 | (3121) all_658_1_658 = all_325_1_294
% 223.41/175.62 |
% 223.41/175.62 | Simplifying 3121 yields:
% 223.41/175.62 | (3122) all_658_1_658 = all_325_1_294
% 223.41/175.62 |
% 223.41/175.62 | Combining equations (3027,3025) yields a new equation:
% 223.41/175.62 | (3123) all_609_2_596 = all_483_2_466
% 223.41/175.62 |
% 223.41/175.62 | Combining equations (3023,3025) yields a new equation:
% 223.41/175.62 | (3124) all_609_2_596 = all_177_2_197
% 223.41/175.62 |
% 223.41/175.62 | Combining equations (3117,3025) yields a new equation:
% 223.41/175.62 | (3125) all_609_2_596 = all_556_2_536
% 223.41/175.62 |
% 223.41/175.62 | Combining equations (3078,3077) yields a new equation:
% 223.41/175.62 | (3126) all_633_0_627 = one
% 223.41/175.62 |
% 223.41/175.62 | Simplifying 3126 yields:
% 223.41/175.62 | (3127) all_633_0_627 = one
% 223.41/175.62 |
% 223.41/175.62 | Combining equations (3085,3088) yields a new equation:
% 223.41/175.62 | (3128) all_630_0_623 = one
% 223.41/175.62 |
% 223.41/175.62 | Simplifying 3128 yields:
% 223.41/175.62 | (3129) all_630_0_623 = one
% 223.41/175.62 |
% 223.41/175.62 | Combining equations (3074,3071) yields a new equation:
% 223.41/175.62 | (3130) all_501_0_483 = all_44_0_29
% 223.41/175.62 |
% 223.41/175.62 | Combining equations (3073,3071) yields a new equation:
% 223.41/175.62 | (3131) all_501_0_483 = all_493_0_474
% 223.41/175.62 |
% 223.41/175.62 | Combining equations (3089,3091) yields a new equation:
% 223.41/175.62 | (3132) all_466_0_453 = all_420_0_401
% 223.41/175.62 |
% 223.41/175.62 | Simplifying 3132 yields:
% 223.41/175.62 | (3133) all_466_0_453 = all_420_0_401
% 223.41/175.62 |
% 223.41/175.62 | Combining equations (3034,3101) yields a new equation:
% 223.41/175.62 | (3134) all_183_1_206 = all_110_1_101
% 223.41/175.62 |
% 223.41/175.62 | Simplifying 3134 yields:
% 223.41/175.62 | (3135) all_183_1_206 = all_110_1_101
% 223.41/175.62 |
% 223.41/175.62 | Combining equations (3062,3097) yields a new equation:
% 223.41/175.62 | (3136) all_264_0_238 = all_135_0_141
% 223.41/175.62 |
% 223.41/175.62 | Combining equations (3063,3097) yields a new equation:
% 223.41/175.62 | (3137) all_264_0_238 = all_44_0_29
% 223.41/175.62 |
% 223.41/175.62 | Combining equations (3020,3111) yields a new equation:
% 223.41/175.62 | (3138) all_582_2_560 = one
% 223.41/175.62 |
% 223.41/175.62 | Simplifying 3138 yields:
% 223.41/175.62 | (3139) all_582_2_560 = one
% 223.41/175.62 |
% 223.41/175.62 | Combining equations (3048,3122) yields a new equation:
% 223.41/175.62 | (3140) all_459_1_441 = all_325_1_294
% 223.41/175.62 |
% 223.41/175.62 | Simplifying 3140 yields:
% 223.41/175.62 | (3141) all_459_1_441 = all_325_1_294
% 223.41/175.62 |
% 223.41/175.63 | Combining equations (3079,3127) yields a new equation:
% 223.41/175.63 | (3142) all_273_0_246 = one
% 223.41/175.63 |
% 223.41/175.63 | Simplifying 3142 yields:
% 223.41/175.63 | (3143) all_273_0_246 = one
% 223.41/175.63 |
% 223.41/175.63 | Combining equations (3129,3086) yields a new equation:
% 223.41/175.63 | (3144) all_628_0_622 = one
% 223.41/175.63 |
% 223.41/175.63 | Combining equations (3120,3086) yields a new equation:
% 223.41/175.63 | (3145) all_628_0_622 = all_396_0_381
% 223.41/175.63 |
% 223.41/175.63 | Combining equations (3145,3144) yields a new equation:
% 223.41/175.63 | (3146) all_396_0_381 = one
% 223.41/175.63 |
% 223.41/175.63 | Simplifying 3146 yields:
% 223.41/175.63 | (3147) all_396_0_381 = one
% 223.41/175.63 |
% 223.41/175.63 | Combining equations (3021,3022) yields a new equation:
% 223.41/175.63 | (3148) all_582_2_560 = all_554_2_530
% 223.41/175.63 |
% 223.41/175.63 | Simplifying 3148 yields:
% 223.41/175.63 | (3149) all_582_2_560 = all_554_2_530
% 223.41/175.63 |
% 223.41/175.63 | Combining equations (3123,3125) yields a new equation:
% 223.41/175.63 | (3150) all_556_2_536 = all_483_2_466
% 223.41/175.63 |
% 223.41/175.63 | Combining equations (3124,3125) yields a new equation:
% 223.41/175.63 | (3151) all_556_2_536 = all_177_2_197
% 223.41/175.63 |
% 223.41/175.63 | Combining equations (3109,3009) yields a new equation:
% 223.41/175.63 | (3152) all_555_2_533 = all_333_2_301
% 223.41/175.63 |
% 223.41/175.63 | Combining equations (3010,3009) yields a new equation:
% 223.41/175.63 | (3153) all_555_2_533 = all_552_2_524
% 223.41/175.63 |
% 223.41/175.63 | Combining equations (3149,3139) yields a new equation:
% 223.41/175.63 | (3154) all_554_2_530 = one
% 223.41/175.63 |
% 223.41/175.63 | Simplifying 3154 yields:
% 223.41/175.63 | (3155) all_554_2_530 = one
% 223.41/175.63 |
% 223.41/175.63 | Combining equations (3041,3115) yields a new equation:
% 223.41/175.63 | (3156) all_563_1_542 = all_82_1_53
% 223.41/175.63 |
% 223.41/175.63 | Simplifying 3156 yields:
% 223.41/175.63 | (3157) all_563_1_542 = all_82_1_53
% 223.41/175.63 |
% 223.41/175.63 | Combining equations (3044,3113) yields a new equation:
% 223.41/175.63 | (3158) all_447_1_425 = all_129_1_128
% 223.41/175.63 |
% 223.41/175.63 | Combining equations (3157,3113) yields a new equation:
% 223.41/175.63 | (3159) all_447_1_425 = all_82_1_53
% 223.41/175.63 |
% 223.41/175.63 | Combining equations (3150,3151) yields a new equation:
% 223.41/175.63 | (3160) all_483_2_466 = all_177_2_197
% 223.41/175.63 |
% 223.41/175.63 | Simplifying 3160 yields:
% 223.41/175.63 | (3161) all_483_2_466 = all_177_2_197
% 223.41/175.63 |
% 223.41/175.63 | Combining equations (3153,3152) yields a new equation:
% 223.41/175.63 | (3162) all_552_2_524 = all_333_2_301
% 223.41/175.63 |
% 223.41/175.63 | Simplifying 3162 yields:
% 223.41/175.63 | (3163) all_552_2_524 = all_333_2_301
% 223.41/175.63 |
% 223.41/175.63 | Combining equations (3011,3163) yields a new equation:
% 223.41/175.63 | (3164) all_465_2_452 = all_333_2_301
% 223.41/175.63 |
% 223.41/175.63 | Simplifying 3164 yields:
% 223.41/175.63 | (3165) all_465_2_452 = all_333_2_301
% 223.41/175.63 |
% 223.41/175.63 | Combining equations (3069,3068) yields a new equation:
% 223.41/175.63 | (3166) all_511_0_488 = all_0_1_1
% 223.41/175.63 |
% 223.41/175.63 | Combining equations (3131,3130) yields a new equation:
% 223.41/175.63 | (3167) all_493_0_474 = all_44_0_29
% 223.41/175.63 |
% 223.41/175.63 | Simplifying 3167 yields:
% 223.41/175.63 | (3168) all_493_0_474 = all_44_0_29
% 223.41/175.63 |
% 223.41/175.63 | Combining equations (3102,3103) yields a new equation:
% 223.41/175.63 | (3169) all_152_0_162 = all_26_0_19
% 223.41/175.63 |
% 223.41/175.63 | Simplifying 3169 yields:
% 223.41/175.63 | (3170) all_152_0_162 = all_26_0_19
% 223.41/175.63 |
% 223.41/175.63 | Combining equations (3168,3072) yields a new equation:
% 223.41/175.63 | (3171) all_484_0_467 = all_44_0_29
% 223.41/175.63 |
% 223.41/175.63 | Combining equations (3028,3161) yields a new equation:
% 223.41/175.63 | (3172) all_177_2_197 = all_108_2_96
% 223.41/175.63 |
% 223.41/175.63 | Combining equations (3090,3133) yields a new equation:
% 223.41/175.63 | (3173) all_420_0_401 = zero
% 223.41/175.63 |
% 223.41/175.63 | Combining equations (3013,3165) yields a new equation:
% 223.41/175.63 | (3174) all_456_2_433 = all_333_2_301
% 223.41/175.63 |
% 223.41/175.63 | Simplifying 3174 yields:
% 223.41/175.63 | (3175) all_456_2_433 = all_333_2_301
% 223.41/175.63 |
% 223.41/175.63 | Combining equations (3049,3141) yields a new equation:
% 223.41/175.63 | (3176) all_445_0_422 = all_325_1_294
% 223.41/175.63 |
% 223.41/175.63 | Simplifying 3176 yields:
% 223.41/175.63 | (3177) all_445_0_422 = all_325_1_294
% 223.41/175.63 |
% 223.41/175.63 | Combining equations (3012,3175) yields a new equation:
% 223.41/175.63 | (3178) all_333_2_301 = all_0_2_2
% 223.41/175.63 |
% 223.41/175.63 | Combining equations (3158,3159) yields a new equation:
% 223.41/175.63 | (3179) all_129_1_128 = all_82_1_53
% 223.41/175.63 |
% 223.41/175.63 | Simplifying 3179 yields:
% 223.41/175.63 | (3180) all_129_1_128 = all_82_1_53
% 223.41/175.63 |
% 223.41/175.63 | Combining equations (3050,3177) yields a new equation:
% 223.41/175.63 | (3181) all_387_1_368 = all_325_1_294
% 223.41/175.63 |
% 223.41/175.63 | Simplifying 3181 yields:
% 223.41/175.63 | (3182) all_387_1_368 = all_325_1_294
% 223.41/175.63 |
% 223.41/175.63 | Combining equations (3080,3082) yields a new equation:
% 223.41/175.63 | (3183) all_335_0_305 = one
% 223.41/175.63 |
% 223.41/175.63 | Simplifying 3183 yields:
% 223.41/175.63 | (3184) all_335_0_305 = one
% 223.41/175.63 |
% 223.41/175.63 | Combining equations (3037,3033) yields a new equation:
% 223.41/175.63 | (3185) all_291_0_257 = all_87_1_63
% 223.41/175.63 |
% 223.41/175.63 | Combining equations (3035,3033) yields a new equation:
% 223.41/175.63 | (3186) all_291_0_257 = all_183_1_206
% 223.41/175.63 |
% 223.41/175.63 | Combining equations (3052,3182) yields a new equation:
% 223.41/175.63 | (3187) all_360_1_333 = all_325_1_294
% 223.41/175.63 |
% 223.41/175.63 | Simplifying 3187 yields:
% 223.41/175.63 | (3188) all_360_1_333 = all_325_1_294
% 223.41/175.63 |
% 223.41/175.63 | Combining equations (3055,3188) yields a new equation:
% 223.41/175.63 | (3189) all_325_1_294 = all_178_0_198
% 223.41/175.63 |
% 223.41/175.63 | Combining equations (3051,3188) yields a new equation:
% 223.41/175.63 | (3190) all_325_1_294 = all_20_0_17
% 223.41/175.63 |
% 223.41/175.63 | Combining equations (3054,3188) yields a new equation:
% 223.41/175.63 | (3191) all_325_1_294 = all_184_1_209
% 223.41/175.63 |
% 223.41/175.63 | Combining equations (3081,3184) yields a new equation:
% 223.41/175.64 | (3192) all_271_0_245 = one
% 223.41/175.64 |
% 223.41/175.64 | Simplifying 3192 yields:
% 223.41/175.64 | (3193) all_271_0_245 = one
% 223.41/175.64 |
% 223.41/175.64 | Combining equations (3189,3191) yields a new equation:
% 223.41/175.64 | (3194) all_184_1_209 = all_178_0_198
% 223.41/175.64 |
% 223.41/175.64 | Combining equations (3190,3191) yields a new equation:
% 223.41/175.64 | (3195) all_184_1_209 = all_20_0_17
% 223.41/175.64 |
% 223.41/175.64 | Combining equations (3186,3185) yields a new equation:
% 223.41/175.64 | (3196) all_183_1_206 = all_87_1_63
% 223.41/175.64 |
% 223.41/175.64 | Simplifying 3196 yields:
% 223.41/175.64 | (3197) all_183_1_206 = all_87_1_63
% 223.41/175.64 |
% 223.41/175.64 | Combining equations (3137,3136) yields a new equation:
% 223.41/175.64 | (3198) all_135_0_141 = all_44_0_29
% 223.41/175.64 |
% 223.41/175.64 | Combining equations (3195,3194) yields a new equation:
% 223.41/175.64 | (3199) all_178_0_198 = all_20_0_17
% 223.41/175.64 |
% 223.41/175.64 | Combining equations (3135,3197) yields a new equation:
% 223.41/175.64 | (3200) all_110_1_101 = all_87_1_63
% 223.41/175.64 |
% 223.41/175.64 | Simplifying 3200 yields:
% 223.41/175.64 | (3201) all_110_1_101 = all_87_1_63
% 223.41/175.64 |
% 223.41/175.64 | Combining equations (3043,3180) yields a new equation:
% 223.41/175.64 | (3202) all_127_1_122 = all_82_1_53
% 223.41/175.64 |
% 223.41/175.64 | Simplifying 3202 yields:
% 223.41/175.64 | (3203) all_127_1_122 = all_82_1_53
% 223.41/175.64 |
% 223.41/175.64 | Combining equations (3199,3194) yields a new equation:
% 223.41/175.64 | (3195) all_184_1_209 = all_20_0_17
% 223.41/175.64 |
% 223.41/175.64 | Combining equations (3195,3191) yields a new equation:
% 223.41/175.64 | (3190) all_325_1_294 = all_20_0_17
% 223.41/175.64 |
% 223.41/175.64 | Combining equations (3178,3175) yields a new equation:
% 223.41/175.64 | (3012) all_456_2_433 = all_0_2_2
% 223.41/175.64 |
% 223.41/175.64 | Combining equations (3190,3141) yields a new equation:
% 223.41/175.64 | (3207) all_459_1_441 = all_20_0_17
% 223.41/175.64 |
% 223.41/175.64 | Combining equations (3178,3165) yields a new equation:
% 223.41/175.64 | (3208) all_465_2_452 = all_0_2_2
% 223.41/175.64 |
% 223.41/175.64 | Combining equations (3178,3152) yields a new equation:
% 223.41/175.64 | (3209) all_555_2_533 = all_0_2_2
% 223.41/175.64 |
% 223.41/175.64 | Combining equations (3209,3009) yields a new equation:
% 223.41/175.64 | (3210) all_608_2_593 = all_0_2_2
% 223.41/175.64 |
% 223.41/175.64 | Combining equations (3155,3022) yields a new equation:
% 223.41/175.64 | (3211) all_610_2_599 = one
% 223.41/175.64 |
% 223.41/175.64 | Combining equations (3178,3014) yields a new equation:
% 223.41/175.64 | (3212) all_950_2_1022 = all_0_2_2
% 223.41/175.64 |
% 223.41/175.64 | Combining equations (3201,3036) yields a new equation:
% 223.41/175.64 | (3213) all_1091_1_1164 = all_87_1_63
% 223.41/175.64 |
% 223.41/175.64 | Combining equations (3198,3067) yields a new equation:
% 223.41/175.64 | (3214) all_1301_1_1375 = all_44_0_29
% 223.41/175.64 |
% 223.41/175.64 | From (3178) and (2954) follows:
% 223.41/175.64 | (43) strong_iteration(one) = all_0_2_2
% 223.41/175.64 |
% 223.41/175.64 | From (3015) and (1897) follows:
% 223.41/175.64 | (2780) strong_iteration(zero) = all_391_2_373
% 223.41/175.64 |
% 223.41/175.64 | From (3057) and (2998) follows:
% 223.41/175.64 | (3217) leq(zero, one) = 0
% 223.41/175.64 |
% 223.41/175.64 | From (3213) and (1975) follows:
% 223.41/175.64 | (3218) leq(all_20_0_17, all_87_1_63) = 0
% 223.41/175.64 |
% 223.41/175.64 | From (3214) and (1807) follows:
% 223.41/175.64 | (3219) leq(all_0_1_1, all_44_0_29) = all_1301_0_1374
% 223.41/175.64 |
% 223.41/175.64 | From (3207) and (1776) follows:
% 223.41/175.64 | (3220) leq(all_0_2_2, all_20_0_17) = 0
% 223.41/175.64 |
% 223.41/175.64 | From (3099) and (1872) follows:
% 223.41/175.64 | (3221) leq(zero, all_360_0_332) = 0
% 223.41/175.64 |
% 223.41/175.64 | From (3155) and (2937) follows:
% 223.41/175.64 | (1662) star(one) = one
% 223.41/175.64 |
% 223.41/175.64 | From (3172) and (1878) follows:
% 223.41/175.64 | (2909) star(zero) = all_108_2_96
% 223.41/175.64 |
% 223.41/175.64 | From (3212) and (2905) follows:
% 223.41/175.64 | (3224) multiplication(all_0_2_2, zero) = all_950_1_1021
% 223.41/175.64 |
% 223.41/175.64 | From (3106) and (2978) follows:
% 223.41/175.64 | (3225) multiplication(one, zero) = all_949_1_1018
% 223.41/175.64 |
% 223.41/175.64 | From (3093)(3201) and (1462) follows:
% 223.41/175.64 | (3226) multiplication(all_82_1_53, zero) = all_87_1_63
% 223.41/175.64 |
% 223.41/175.64 | From (3211) and (2923) follows:
% 223.41/175.64 | (3227) multiplication(one, zero) = all_610_1_598
% 223.41/175.64 |
% 223.41/175.64 | From (3210) and (2966) follows:
% 223.41/175.64 | (3228) multiplication(all_0_2_2, zero) = all_608_1_592
% 223.41/175.64 |
% 223.41/175.64 | From (3139) and (2917) follows:
% 223.41/175.64 | (3229) multiplication(one, zero) = all_582_1_559
% 223.41/175.64 |
% 223.41/175.64 | From (3208) and (2995) follows:
% 223.41/175.64 | (3230) multiplication(all_0_2_2, all_0_2_2) = all_465_1_451
% 223.41/175.64 |
% 223.41/175.64 | From (3012) and (2988) follows:
% 223.41/175.64 | (3231) multiplication(all_0_2_2, all_20_0_17) = all_456_1_432
% 223.41/175.64 |
% 223.41/175.64 | From (3178) and (2953) follows:
% 223.41/175.65 | (3232) multiplication(all_0_2_2, all_0_2_2) = all_333_1_300
% 223.41/175.65 |
% 223.41/175.65 | From (3172) and (2822) follows:
% 223.41/175.65 | (3233) multiplication(all_20_0_17, all_108_2_96) = all_1058_1_1124
% 223.41/175.65 |
% 223.41/175.65 | From (3199) and (2810) follows:
% 223.41/175.65 | (3234) multiplication(all_0_2_2, all_20_0_17) = all_360_0_332
% 223.41/175.65 |
% 223.41/175.65 | From (3170) and (2801) follows:
% 223.41/175.65 | (3235) multiplication(all_0_2_2, all_26_0_19) = all_606_1_586
% 223.41/175.65 |
% 223.41/175.65 | From (3031) and (2796) follows:
% 223.41/175.65 | (2800) multiplication(all_0_2_2, all_120_0_110) = all_655_1_654
% 223.41/175.65 |
% 223.41/175.65 | From (3201) and (2813) follows:
% 223.41/175.65 | (2816) multiplication(all_0_2_2, all_20_0_17) = all_87_1_63
% 223.41/175.65 |
% 223.41/175.65 | From (3203) and (538) follows:
% 223.41/175.65 | (2817) multiplication(all_0_2_2, all_0_2_2) = all_82_1_53
% 223.41/175.65 |
% 223.41/175.65 | From (3199) and (2821) follows:
% 223.41/175.65 | (53) multiplication(all_0_2_2, zero) = all_20_0_17
% 223.41/175.65 |
% 223.41/175.65 | From (3203)(3203) and (2829) follows:
% 223.41/175.65 | (3240) multiplication(one, all_82_1_53) = all_82_1_53
% 223.41/175.65 |
% 223.41/175.65 | From (3056) and (2794) follows:
% 223.41/175.65 | (144) multiplication(one, all_20_0_17) = all_20_0_17
% 223.41/175.65 |
% 223.41/175.65 | From (3058) and (2819) follows:
% 223.41/175.65 | (2831) multiplication(zero, all_0_2_2) = zero
% 223.41/175.65 |
% 223.41/175.65 | From (3059) and (2818) follows:
% 223.41/175.65 | (2832) multiplication(zero, one) = zero
% 223.41/175.65 |
% 223.41/175.65 | From (3166) and (2838) follows:
% 223.41/175.65 | (286) addition(all_0_1_1, all_20_0_17) = all_120_0_110
% 223.41/175.65 |
% 223.41/175.65 | From (3058)(3203)(3203) and (2841) follows:
% 223.41/175.65 | (3245) addition(zero, all_82_1_53) = all_82_1_53
% 223.41/175.65 |
% 223.41/175.65 | From (3199) and (1000) follows:
% 223.41/175.65 | (3246) addition(all_20_0_17, all_20_0_17) = all_329_0_297
% 223.41/175.65 |
% 223.41/175.65 | From (3199) and (1191) follows:
% 223.41/175.65 | (3247) addition(all_20_0_17, all_0_1_1) = all_585_0_562
% 223.41/175.65 |
% 223.41/175.65 | From (3199) and (2850) follows:
% 223.41/175.65 | (3248) addition(all_20_0_17, one) = all_637_0_629
% 223.41/175.65 |
% 223.41/175.65 | From (3203)(3203) and (2834) follows:
% 223.41/175.65 | (3249) addition(all_82_1_53, zero) = all_82_1_53
% 223.41/175.65 |
% 223.41/175.65 | From (3201)(3201)(3201) and (2835) follows:
% 223.41/175.65 | (3250) addition(all_87_1_63, all_87_1_63) = all_87_1_63
% 223.41/175.65 |
% 223.41/175.65 | From (3201)(3180) and (2836) follows:
% 223.41/175.65 | (3251) addition(all_87_1_63, all_0_2_2) = all_82_1_53
% 223.41/175.65 |
% 223.41/175.65 | From (3083) and (2868) follows:
% 223.41/175.65 | (3252) addition(all_20_0_17, all_519_0_492) = all_120_0_110
% 223.41/175.65 |
% 223.41/175.65 | From (3144) and (2870) follows:
% 223.41/175.65 | (1713) addition(all_20_0_17, one) = all_0_2_2
% 223.41/175.65 |
% 223.41/175.65 | From (3199) and (2837) follows:
% 223.41/175.65 | (150) addition(all_20_0_17, zero) = all_20_0_17
% 223.41/175.65 |
% 223.41/175.65 | From (3198) and (2876) follows:
% 223.41/175.65 | (3255) addition(all_0_1_1, one) = all_44_0_29
% 223.41/175.65 |
% 223.41/175.65 | From (3166) and (2878) follows:
% 223.41/175.65 | (2879) addition(all_0_1_1, zero) = all_0_1_1
% 223.41/175.65 |
% 223.41/175.65 | From (3201)(3180) and (2839) follows:
% 223.41/175.65 | (3257) addition(all_0_2_2, all_87_1_63) = all_82_1_53
% 223.41/175.65 |
% 223.41/175.65 | From (3070) and (1095) follows:
% 223.41/175.65 | (2842) addition(all_0_2_2, all_20_0_17) = all_0_2_2
% 223.41/175.65 |
% 223.41/175.65 | From (3170) and (2867) follows:
% 223.41/175.66 | (74) addition(all_0_2_2, all_0_1_1) = all_26_0_19
% 223.41/175.66 |
% 223.41/175.66 | From (3199) and (2840) follows:
% 223.41/175.66 | (3260) addition(one, all_20_0_17) = all_0_2_2
% 223.41/175.66 |
% 223.41/175.66 | From (3198) and (1105) follows:
% 223.41/175.66 | (3261) addition(one, all_44_0_29) = all_486_0_468
% 223.41/175.66 |
% 223.41/175.66 | From (3170) and (2881) follows:
% 223.41/175.66 | (3262) addition(one, all_120_0_110) = all_26_0_19
% 223.41/175.66 |
% 223.41/175.66 | From (3201)(3201) and (629) follows:
% 223.41/175.66 | (3263) addition(one, all_87_1_63) = all_87_1_63
% 223.41/175.66 |
% 223.41/175.66 | From (3171) and (1102) follows:
% 223.41/175.66 | (2883) addition(one, all_44_0_29) = all_44_0_29
% 223.41/175.66 |
% 223.41/175.66 | From (3118) and (2845) follows:
% 223.41/175.66 | (1728) addition(one, all_0_1_1) = all_44_0_29
% 223.41/175.66 |
% 223.41/175.66 | From (3143) and (2885) follows:
% 223.41/175.66 | (155) addition(one, one) = one
% 223.41/175.66 |
% 223.41/175.66 | From (3193) and (2856) follows:
% 223.41/175.66 | (2888) addition(one, zero) = one
% 223.41/175.66 |
% 223.41/175.66 | From (3198) and (2864) follows:
% 223.41/175.66 | (3268) addition(zero, all_44_0_29) = all_44_0_29
% 223.41/175.66 |
% 223.41/175.66 | From (3083) and (2865) follows:
% 223.41/175.66 | (1127) addition(zero, all_0_1_1) = all_519_0_492
% 223.41/175.66 |
% 223.41/175.66 | From (3147) and (2863) follows:
% 223.41/175.66 | (2893) addition(zero, one) = one
% 223.41/175.66 |
% 223.41/175.66 | From (3173) and (2849) follows:
% 223.41/175.66 | (581) addition(zero, zero) = zero
% 223.41/175.66 |
% 223.41/175.66 +-Applying beta-rule and splitting (1245), into two cases.
% 223.41/175.66 |-Branch one:
% 223.41/175.66 | (3272) all_666_0_672 = 0 & leq(all_666_1_673, all_20_0_17) = 0 & star(one) = all_666_2_674 & multiplication(all_666_2_674, all_205_0_233) = all_666_1_673
% 223.41/175.66 |
% 223.41/175.66 | Applying alpha-rule on (3272) yields:
% 223.41/175.66 | (3273) all_666_0_672 = 0
% 223.41/175.66 | (3274) leq(all_666_1_673, all_20_0_17) = 0
% 223.41/175.66 | (3275) star(one) = all_666_2_674
% 223.41/175.66 | (3276) multiplication(all_666_2_674, all_205_0_233) = all_666_1_673
% 223.41/175.66 |
% 223.41/175.66 +-Applying beta-rule and splitting (1611), into two cases.
% 223.41/175.66 |-Branch one:
% 223.41/175.66 | (3277) all_1175_0_1288 = 0 & leq(all_1175_1_1289, all_20_0_17) = 0 & star(zero) = all_1175_2_1290 & multiplication(one, all_1175_2_1290) = all_1175_1_1289
% 223.41/175.66 |
% 223.41/175.66 | Applying alpha-rule on (3277) yields:
% 223.41/175.66 | (3278) all_1175_0_1288 = 0
% 223.41/175.66 | (3279) leq(all_1175_1_1289, all_20_0_17) = 0
% 223.41/175.66 | (3280) star(zero) = all_1175_2_1290
% 223.41/175.66 | (3281) multiplication(one, all_1175_2_1290) = all_1175_1_1289
% 223.41/175.66 |
% 223.41/175.66 +-Applying beta-rule and splitting (1609), into two cases.
% 223.41/175.66 |-Branch one:
% 223.41/175.66 | (3282) all_1171_0_1276 = 0 & strong_iteration(one) = all_1171_2_1278 & leq(zero, all_1171_1_1277) = 0 & multiplication(all_1171_2_1278, one) = all_1171_1_1277
% 223.41/175.66 |
% 223.41/175.66 | Applying alpha-rule on (3282) yields:
% 223.41/175.66 | (3283) all_1171_0_1276 = 0
% 223.41/175.66 | (3284) strong_iteration(one) = all_1171_2_1278
% 223.41/175.66 | (3285) leq(zero, all_1171_1_1277) = 0
% 223.41/175.66 | (3286) multiplication(all_1171_2_1278, one) = all_1171_1_1277
% 223.41/175.66 |
% 223.41/175.66 +-Applying beta-rule and splitting (350), into two cases.
% 223.41/175.66 |-Branch one:
% 223.41/175.66 | (3287) all_172_0_184 = 0 & leq(all_172_1_185, all_20_0_17) = 0 & star(one) = all_172_2_186 & multiplication(all_172_2_186, all_20_1_18) = all_172_1_185
% 223.41/175.66 |
% 223.41/175.66 | Applying alpha-rule on (3287) yields:
% 223.41/175.66 | (3288) all_172_0_184 = 0
% 223.41/175.66 | (3289) leq(all_172_1_185, all_20_0_17) = 0
% 223.41/175.66 | (3290) star(one) = all_172_2_186
% 223.41/175.66 | (3291) multiplication(all_172_2_186, all_20_1_18) = all_172_1_185
% 223.41/175.66 |
% 223.41/175.66 +-Applying beta-rule and splitting (1304), into two cases.
% 223.41/175.66 |-Branch one:
% 223.41/175.66 | (3292) all_723_0_746 = 0 & strong_iteration(zero) = all_723_2_748 & leq(zero, all_723_1_747) = 0 & multiplication(all_723_2_748, all_20_1_18) = all_723_1_747
% 223.41/175.66 |
% 223.41/175.66 | Applying alpha-rule on (3292) yields:
% 223.41/175.66 | (3293) all_723_0_746 = 0
% 223.41/175.66 | (3294) strong_iteration(zero) = all_723_2_748
% 223.41/175.66 | (3295) leq(zero, all_723_1_747) = 0
% 223.41/175.66 | (3296) multiplication(all_723_2_748, all_20_1_18) = all_723_1_747
% 223.41/175.66 |
% 223.41/175.66 +-Applying beta-rule and splitting (1575), into two cases.
% 223.41/175.66 |-Branch one:
% 223.41/175.66 | (3297) all_1126_0_1217 = 0 & leq(all_1126_1_1218, one) = 0 & star(zero) = all_1126_2_1219 & multiplication(all_49_1_36, all_1126_2_1219) = all_1126_1_1218
% 223.41/175.66 |
% 223.41/175.66 | Applying alpha-rule on (3297) yields:
% 223.41/175.66 | (3298) all_1126_0_1217 = 0
% 223.41/175.66 | (3299) leq(all_1126_1_1218, one) = 0
% 223.41/175.66 | (3300) star(zero) = all_1126_2_1219
% 223.41/175.66 | (3301) multiplication(all_49_1_36, all_1126_2_1219) = all_1126_1_1218
% 223.41/175.66 |
% 223.41/175.66 +-Applying beta-rule and splitting (1363), into two cases.
% 223.41/175.66 |-Branch one:
% 223.41/175.66 | (3302) all_819_0_856 = 0 & leq(all_819_1_857, one) = 0 & star(zero) = all_819_2_858 & multiplication(zero, all_819_2_858) = all_819_1_857
% 223.41/175.66 |
% 223.41/175.66 | Applying alpha-rule on (3302) yields:
% 223.41/175.66 | (3303) all_819_0_856 = 0
% 223.41/175.66 | (3304) leq(all_819_1_857, one) = 0
% 223.41/175.66 | (3305) star(zero) = all_819_2_858
% 223.41/175.66 | (3306) multiplication(zero, all_819_2_858) = all_819_1_857
% 223.41/175.66 |
% 223.41/175.66 +-Applying beta-rule and splitting (1608), into two cases.
% 223.41/175.66 |-Branch one:
% 223.41/175.66 | (3307) all_1168_0_1267 = 0 & strong_iteration(zero) = all_1168_2_1269 & leq(zero, all_1168_1_1268) = 0 & multiplication(all_1168_2_1269, one) = all_1168_1_1268
% 223.41/175.66 |
% 223.41/175.66 | Applying alpha-rule on (3307) yields:
% 223.41/175.66 | (3308) all_1168_0_1267 = 0
% 223.41/175.67 | (3309) strong_iteration(zero) = all_1168_2_1269
% 223.41/175.67 | (3310) leq(zero, all_1168_1_1268) = 0
% 223.41/175.67 | (3311) multiplication(all_1168_2_1269, one) = all_1168_1_1268
% 223.41/175.67 |
% 223.41/175.67 +-Applying beta-rule and splitting (1336), into two cases.
% 223.41/175.67 |-Branch one:
% 223.41/175.67 | (3312) all_774_0_809 = 0 & leq(all_774_1_810, all_20_0_17) = 0 & star(zero) = all_774_2_811 & multiplication(all_205_0_233, all_774_2_811) = all_774_1_810
% 223.41/175.67 |
% 223.41/175.67 | Applying alpha-rule on (3312) yields:
% 223.41/175.67 | (3313) all_774_0_809 = 0
% 223.41/175.67 | (3314) leq(all_774_1_810, all_20_0_17) = 0
% 223.41/175.67 | (3315) star(zero) = all_774_2_811
% 223.41/175.67 | (3316) multiplication(all_205_0_233, all_774_2_811) = all_774_1_810
% 223.41/175.67 |
% 223.41/175.67 +-Applying beta-rule and splitting (1631), into two cases.
% 223.41/175.67 |-Branch one:
% 223.41/175.67 | (3317) all_1196_0_1319 = 0 & leq(all_1196_1_1320, all_20_0_17) = 0 & star(zero) = all_1196_2_1321 & multiplication(all_20_1_18, all_1196_2_1321) = all_1196_1_1320
% 223.41/175.67 |
% 223.41/175.67 | Applying alpha-rule on (3317) yields:
% 223.41/175.67 | (3318) all_1196_0_1319 = 0
% 223.41/175.67 | (3319) leq(all_1196_1_1320, all_20_0_17) = 0
% 223.41/175.67 | (3320) star(zero) = all_1196_2_1321
% 223.41/175.67 | (3321) multiplication(all_20_1_18, all_1196_2_1321) = all_1196_1_1320
% 223.41/175.67 |
% 223.41/175.67 +-Applying beta-rule and splitting (290), into two cases.
% 223.41/175.67 |-Branch one:
% 223.41/175.67 | (3322) all_124_0_112 = 0 & leq(all_124_1_113, all_20_0_17) = 0 & star(one) = all_124_2_114 & multiplication(all_124_2_114, one) = all_124_1_113
% 223.41/175.67 |
% 223.41/175.67 | Applying alpha-rule on (3322) yields:
% 223.41/175.67 | (3323) all_124_0_112 = 0
% 223.41/175.67 | (3324) leq(all_124_1_113, all_20_0_17) = 0
% 223.41/175.67 | (3325) star(one) = all_124_2_114
% 223.41/175.67 | (3326) multiplication(all_124_2_114, one) = all_124_1_113
% 223.41/175.67 |
% 223.41/175.67 +-Applying beta-rule and splitting (1340), into two cases.
% 223.41/175.67 |-Branch one:
% 223.41/175.67 | (3327) all_777_0_813 = 0 & leq(all_777_1_814, all_20_0_17) = 0 & star(one) = all_777_2_815 & multiplication(all_203_0_232, all_777_2_815) = all_777_1_814
% 223.41/175.67 |
% 223.41/175.67 | Applying alpha-rule on (3327) yields:
% 223.41/175.67 | (3328) all_777_0_813 = 0
% 223.41/175.67 | (3329) leq(all_777_1_814, all_20_0_17) = 0
% 223.41/175.67 | (3330) star(one) = all_777_2_815
% 223.41/175.67 | (3331) multiplication(all_203_0_232, all_777_2_815) = all_777_1_814
% 223.41/175.67 |
% 223.41/175.67 +-Applying beta-rule and splitting (1244), into two cases.
% 223.41/175.67 |-Branch one:
% 223.41/175.67 | (3332) all_665_0_669 = 0 & leq(all_665_1_670, all_20_0_17) = 0 & star(one) = all_665_2_671 & multiplication(all_205_0_233, all_665_2_671) = all_665_1_670
% 223.41/175.67 |
% 223.41/175.67 | Applying alpha-rule on (3332) yields:
% 223.41/175.67 | (3333) all_665_0_669 = 0
% 223.41/175.67 | (3334) leq(all_665_1_670, all_20_0_17) = 0
% 223.41/175.67 | (3335) star(one) = all_665_2_671
% 223.41/175.67 | (3336) multiplication(all_205_0_233, all_665_2_671) = all_665_1_670
% 223.41/175.67 |
% 223.41/175.67 +-Applying beta-rule and splitting (1309), into two cases.
% 223.41/175.67 |-Branch one:
% 223.41/175.67 | (3337) all_737_0_768 = 0 & strong_iteration(one) = all_737_2_770 & leq(zero, all_737_1_769) = 0 & multiplication(all_737_2_770, all_20_1_18) = all_737_1_769
% 223.41/175.67 |
% 223.41/175.67 | Applying alpha-rule on (3337) yields:
% 223.41/175.67 | (3338) all_737_0_768 = 0
% 223.41/175.67 | (3339) strong_iteration(one) = all_737_2_770
% 223.41/175.67 | (3340) leq(zero, all_737_1_769) = 0
% 223.41/175.67 | (3341) multiplication(all_737_2_770, all_20_1_18) = all_737_1_769
% 223.41/175.67 |
% 223.41/175.67 +-Applying beta-rule and splitting (1320), into two cases.
% 223.41/175.67 |-Branch one:
% 223.41/175.67 | (3342) all_751_0_782 = 0 & leq(all_751_1_783, all_20_0_17) = 0 & star(zero) = all_751_2_784 & multiplication(all_203_0_232, all_751_2_784) = all_751_1_783
% 223.41/175.67 |
% 223.41/175.67 | Applying alpha-rule on (3342) yields:
% 223.41/175.67 | (3343) all_751_0_782 = 0
% 223.41/175.67 | (3344) leq(all_751_1_783, all_20_0_17) = 0
% 223.41/175.67 | (3345) star(zero) = all_751_2_784
% 223.41/175.67 | (3346) multiplication(all_203_0_232, all_751_2_784) = all_751_1_783
% 223.41/175.67 |
% 223.41/175.67 | From (2711) and (3346) follows:
% 223.41/175.67 | (3347) multiplication(one, all_751_2_784) = all_751_1_783
% 223.41/175.67 |
% 223.41/175.67 +-Applying beta-rule and splitting (969), into two cases.
% 223.41/175.67 |-Branch one:
% 223.41/175.67 | (3348) all_296_0_264 = 0 & leq(all_296_1_265, all_20_0_17) = 0 & star(one) = all_296_2_266 & multiplication(one, all_296_2_266) = all_296_1_265
% 223.41/175.67 |
% 223.41/175.67 | Applying alpha-rule on (3348) yields:
% 223.41/175.67 | (3349) all_296_0_264 = 0
% 223.41/175.67 | (3350) leq(all_296_1_265, all_20_0_17) = 0
% 223.41/175.67 | (3351) star(one) = all_296_2_266
% 223.41/175.67 | (3352) multiplication(one, all_296_2_266) = all_296_1_265
% 223.41/175.67 |
% 223.41/175.67 +-Applying beta-rule and splitting (973), into two cases.
% 223.41/175.67 |-Branch one:
% 223.41/175.67 | (3353) all_303_0_270 = 0 & leq(all_303_1_271, all_20_0_17) = 0 & star(one) = all_303_2_272 & multiplication(all_20_1_18, all_303_2_272) = all_303_1_271
% 223.41/175.67 |
% 223.41/175.67 | Applying alpha-rule on (3353) yields:
% 223.41/175.67 | (3354) all_303_0_270 = 0
% 223.41/175.67 | (3355) leq(all_303_1_271, all_20_0_17) = 0
% 223.41/175.67 | (3356) star(one) = all_303_2_272
% 223.41/175.67 | (3357) multiplication(all_20_1_18, all_303_2_272) = all_303_1_271
% 223.41/175.67 |
% 223.41/175.67 +-Applying beta-rule and splitting (1382), into two cases.
% 223.41/175.67 |-Branch one:
% 223.41/175.67 | (3358) all_839_0_887 = 0 & leq(all_839_1_888, all_20_0_17) = 0 & star(one) = all_839_2_889 & multiplication(all_839_2_889, all_203_0_232) = all_839_1_888
% 223.41/175.67 |
% 223.41/175.67 | Applying alpha-rule on (3358) yields:
% 223.41/175.67 | (3359) all_839_0_887 = 0
% 223.41/175.67 | (3360) leq(all_839_1_888, all_20_0_17) = 0
% 223.41/175.67 | (3361) star(one) = all_839_2_889
% 223.41/175.67 | (3362) multiplication(all_839_2_889, all_203_0_232) = all_839_1_888
% 223.41/175.67 |
% 223.41/175.67 | Instantiating formula (29) with one, all_1171_2_1278, all_0_2_2 and discharging atoms strong_iteration(one) = all_1171_2_1278, strong_iteration(one) = all_0_2_2, yields:
% 223.41/175.67 | (3363) all_1171_2_1278 = all_0_2_2
% 223.41/175.67 |
% 223.41/175.67 | Instantiating formula (29) with one, all_737_2_770, all_1171_2_1278 and discharging atoms strong_iteration(one) = all_1171_2_1278, strong_iteration(one) = all_737_2_770, yields:
% 223.41/175.67 | (3364) all_1171_2_1278 = all_737_2_770
% 223.41/175.67 |
% 223.41/175.67 | Instantiating formula (29) with zero, all_1168_2_1269, all_391_2_373 and discharging atoms strong_iteration(zero) = all_1168_2_1269, strong_iteration(zero) = all_391_2_373, yields:
% 223.41/175.67 | (3365) all_1168_2_1269 = all_391_2_373
% 223.41/175.67 |
% 223.41/175.67 | Instantiating formula (29) with zero, all_723_2_748, all_1168_2_1269 and discharging atoms strong_iteration(zero) = all_1168_2_1269, strong_iteration(zero) = all_723_2_748, yields:
% 223.41/175.67 | (3366) all_1168_2_1269 = all_723_2_748
% 223.41/175.67 |
% 223.41/175.67 | Instantiating formula (31) with one, all_777_2_815, all_839_2_889 and discharging atoms star(one) = all_839_2_889, star(one) = all_777_2_815, yields:
% 223.41/175.67 | (3367) all_839_2_889 = all_777_2_815
% 223.41/175.67 |
% 223.41/175.67 | Instantiating formula (31) with one, all_666_2_674, one and discharging atoms star(one) = all_666_2_674, star(one) = one, yields:
% 223.41/175.67 | (3368) all_666_2_674 = one
% 223.41/175.67 |
% 223.41/175.67 | Instantiating formula (31) with one, all_666_2_674, all_777_2_815 and discharging atoms star(one) = all_777_2_815, star(one) = all_666_2_674, yields:
% 223.41/175.67 | (3369) all_777_2_815 = all_666_2_674
% 223.41/175.67 |
% 223.41/175.67 | Instantiating formula (31) with one, all_665_2_671, all_839_2_889 and discharging atoms star(one) = all_839_2_889, star(one) = all_665_2_671, yields:
% 223.41/175.67 | (3370) all_839_2_889 = all_665_2_671
% 223.41/175.67 |
% 223.41/175.67 | Instantiating formula (31) with one, all_296_2_266, all_666_2_674 and discharging atoms star(one) = all_666_2_674, star(one) = all_296_2_266, yields:
% 223.41/175.68 | (3371) all_666_2_674 = all_296_2_266
% 223.41/175.68 |
% 223.41/175.68 | Instantiating formula (31) with one, all_172_2_186, all_303_2_272 and discharging atoms star(one) = all_303_2_272, star(one) = all_172_2_186, yields:
% 223.41/175.68 | (3372) all_303_2_272 = all_172_2_186
% 223.41/175.68 |
% 223.41/175.68 | Instantiating formula (31) with one, all_172_2_186, all_296_2_266 and discharging atoms star(one) = all_296_2_266, star(one) = all_172_2_186, yields:
% 223.41/175.68 | (3373) all_296_2_266 = all_172_2_186
% 223.41/175.68 |
% 223.41/175.68 | Instantiating formula (31) with one, all_124_2_114, all_303_2_272 and discharging atoms star(one) = all_303_2_272, star(one) = all_124_2_114, yields:
% 223.41/175.68 | (3374) all_303_2_272 = all_124_2_114
% 223.41/175.68 |
% 223.41/175.68 | Instantiating formula (31) with zero, all_1196_2_1321, all_108_2_96 and discharging atoms star(zero) = all_1196_2_1321, star(zero) = all_108_2_96, yields:
% 223.41/175.68 | (3375) all_1196_2_1321 = all_108_2_96
% 223.41/175.68 |
% 223.41/175.68 | Instantiating formula (31) with zero, all_1175_2_1290, all_1196_2_1321 and discharging atoms star(zero) = all_1196_2_1321, star(zero) = all_1175_2_1290, yields:
% 223.41/175.68 | (3376) all_1196_2_1321 = all_1175_2_1290
% 223.41/175.68 |
% 223.41/175.68 | Instantiating formula (31) with zero, all_1126_2_1219, all_1175_2_1290 and discharging atoms star(zero) = all_1175_2_1290, star(zero) = all_1126_2_1219, yields:
% 223.41/175.68 | (3377) all_1175_2_1290 = all_1126_2_1219
% 223.41/175.68 |
% 223.41/175.68 | Instantiating formula (31) with zero, all_819_2_858, all_1196_2_1321 and discharging atoms star(zero) = all_1196_2_1321, star(zero) = all_819_2_858, yields:
% 223.41/175.68 | (3378) all_1196_2_1321 = all_819_2_858
% 223.41/175.68 |
% 223.41/175.68 | Instantiating formula (31) with zero, all_774_2_811, all_1175_2_1290 and discharging atoms star(zero) = all_1175_2_1290, star(zero) = all_774_2_811, yields:
% 223.41/175.68 | (3379) all_1175_2_1290 = all_774_2_811
% 223.41/175.68 |
% 223.41/175.68 | Instantiating formula (31) with zero, all_751_2_784, all_1126_2_1219 and discharging atoms star(zero) = all_1126_2_1219, star(zero) = all_751_2_784, yields:
% 223.41/175.68 | (3380) all_1126_2_1219 = all_751_2_784
% 223.41/175.68 |
% 223.41/175.68 | Instantiating formula (19) with all_0_2_2, all_26_0_19, all_606_1_586, all_528_1_500 and discharging atoms multiplication(all_0_2_2, all_26_0_19) = all_606_1_586, multiplication(all_0_2_2, all_26_0_19) = all_528_1_500, yields:
% 223.41/175.68 | (3381) all_606_1_586 = all_528_1_500
% 223.41/175.68 |
% 223.41/175.68 | Instantiating formula (19) with all_0_2_2, all_20_0_17, all_456_1_432, all_87_1_63 and discharging atoms multiplication(all_0_2_2, all_20_0_17) = all_456_1_432, multiplication(all_0_2_2, all_20_0_17) = all_87_1_63, yields:
% 223.41/175.68 | (3382) all_456_1_432 = all_87_1_63
% 223.41/175.68 |
% 223.41/175.68 | Instantiating formula (19) with all_0_2_2, all_20_0_17, all_360_0_332, all_456_1_432 and discharging atoms multiplication(all_0_2_2, all_20_0_17) = all_456_1_432, multiplication(all_0_2_2, all_20_0_17) = all_360_0_332, yields:
% 223.41/175.68 | (3383) all_456_1_432 = all_360_0_332
% 223.63/175.68 |
% 223.63/175.68 | Instantiating formula (19) with all_0_2_2, all_0_2_2, all_465_1_451, all_82_1_53 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_465_1_451, multiplication(all_0_2_2, all_0_2_2) = all_82_1_53, yields:
% 223.63/175.68 | (3384) all_465_1_451 = all_82_1_53
% 223.63/175.68 |
% 223.63/175.68 | Instantiating formula (19) with all_0_2_2, all_0_2_2, all_333_1_300, all_465_1_451 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_465_1_451, multiplication(all_0_2_2, all_0_2_2) = all_333_1_300, yields:
% 223.63/175.68 | (3385) all_465_1_451 = all_333_1_300
% 223.63/175.68 |
% 223.63/175.68 | Instantiating formula (19) with all_0_2_2, zero, all_950_1_1021, all_20_0_17 and discharging atoms multiplication(all_0_2_2, zero) = all_950_1_1021, multiplication(all_0_2_2, zero) = all_20_0_17, yields:
% 223.63/175.68 | (3386) all_950_1_1021 = all_20_0_17
% 223.63/175.68 |
% 223.63/175.68 | Instantiating formula (19) with all_0_2_2, zero, all_608_1_592, all_950_1_1021 and discharging atoms multiplication(all_0_2_2, zero) = all_950_1_1021, multiplication(all_0_2_2, zero) = all_608_1_592, yields:
% 223.63/175.68 | (3387) all_950_1_1021 = all_608_1_592
% 223.63/175.68 |
% 223.63/175.68 | Instantiating formula (20) with all_751_1_783, all_751_2_784 and discharging atoms multiplication(one, all_751_2_784) = all_751_1_783, yields:
% 223.63/175.68 | (3388) all_751_1_783 = all_751_2_784
% 223.63/175.68 |
% 223.63/175.68 | Instantiating formula (20) with all_296_1_265, all_296_2_266 and discharging atoms multiplication(one, all_296_2_266) = all_296_1_265, yields:
% 223.63/175.68 | (3389) all_296_1_265 = all_296_2_266
% 223.63/175.68 |
% 223.63/175.68 | Instantiating formula (20) with all_949_1_1018, zero and discharging atoms multiplication(one, zero) = all_949_1_1018, yields:
% 223.63/175.68 | (3390) all_949_1_1018 = zero
% 223.63/175.68 |
% 223.63/175.68 | Instantiating formula (19) with one, zero, all_610_1_598, all_949_1_1018 and discharging atoms multiplication(one, zero) = all_949_1_1018, multiplication(one, zero) = all_610_1_598, yields:
% 223.63/175.68 | (3391) all_949_1_1018 = all_610_1_598
% 223.63/175.68 |
% 223.63/175.68 | Instantiating formula (19) with one, zero, all_582_1_559, all_610_1_598 and discharging atoms multiplication(one, zero) = all_610_1_598, multiplication(one, zero) = all_582_1_559, yields:
% 223.63/175.68 | (3392) all_610_1_598 = all_582_1_559
% 223.63/175.68 |
% 223.63/175.68 | Instantiating formula (25) with all_329_0_297, all_20_0_17 and discharging atoms addition(all_20_0_17, all_20_0_17) = all_329_0_297, yields:
% 223.63/175.68 | (3393) all_329_0_297 = all_20_0_17
% 223.63/175.68 |
% 223.63/175.68 | Instantiating formula (36) with all_20_0_17, all_0_1_1, all_585_0_562, all_120_0_110 and discharging atoms addition(all_20_0_17, all_0_1_1) = all_585_0_562, addition(all_20_0_17, all_0_1_1) = all_120_0_110, yields:
% 223.63/175.68 | (3394) all_585_0_562 = all_120_0_110
% 223.63/175.68 |
% 223.63/175.68 | Instantiating formula (36) with all_20_0_17, one, all_637_0_629, all_0_2_2 and discharging atoms addition(all_20_0_17, one) = all_637_0_629, addition(all_20_0_17, one) = all_0_2_2, yields:
% 223.63/175.68 | (3395) all_637_0_629 = all_0_2_2
% 223.63/175.68 |
% 223.63/175.68 | Instantiating formula (36) with one, all_44_0_29, all_486_0_468, all_44_0_29 and discharging atoms addition(one, all_44_0_29) = all_486_0_468, addition(one, all_44_0_29) = all_44_0_29, yields:
% 223.63/175.68 | (3396) all_486_0_468 = all_44_0_29
% 223.63/175.68 |
% 223.63/175.68 | Combining equations (3376,3378) yields a new equation:
% 223.63/175.68 | (3397) all_1175_2_1290 = all_819_2_858
% 223.63/175.68 |
% 223.63/175.68 | Simplifying 3397 yields:
% 223.63/175.68 | (3398) all_1175_2_1290 = all_819_2_858
% 223.63/175.68 |
% 223.63/175.68 | Combining equations (3375,3378) yields a new equation:
% 223.63/175.68 | (3399) all_819_2_858 = all_108_2_96
% 223.63/175.68 |
% 223.63/175.68 | Combining equations (3377,3379) yields a new equation:
% 223.63/175.68 | (3400) all_1126_2_1219 = all_774_2_811
% 223.63/175.68 |
% 223.63/175.68 | Simplifying 3400 yields:
% 223.63/175.68 | (3401) all_1126_2_1219 = all_774_2_811
% 223.63/175.68 |
% 223.63/175.68 | Combining equations (3398,3379) yields a new equation:
% 223.63/175.68 | (3402) all_819_2_858 = all_774_2_811
% 223.63/175.68 |
% 223.63/175.68 | Simplifying 3402 yields:
% 223.63/175.68 | (3403) all_819_2_858 = all_774_2_811
% 223.63/175.68 |
% 223.63/175.68 | Combining equations (3364,3363) yields a new equation:
% 223.63/175.68 | (3404) all_737_2_770 = all_0_2_2
% 223.63/175.68 |
% 223.63/175.68 | Simplifying 3404 yields:
% 223.63/175.68 | (3405) all_737_2_770 = all_0_2_2
% 223.63/175.68 |
% 223.63/175.68 | Combining equations (3366,3365) yields a new equation:
% 223.63/175.68 | (3406) all_723_2_748 = all_391_2_373
% 223.63/175.68 |
% 223.63/175.68 | Simplifying 3406 yields:
% 223.63/175.68 | (3407) all_723_2_748 = all_391_2_373
% 223.63/175.68 |
% 223.63/175.68 | Combining equations (3401,3380) yields a new equation:
% 223.63/175.68 | (3408) all_774_2_811 = all_751_2_784
% 223.63/175.68 |
% 223.63/175.68 | Simplifying 3408 yields:
% 223.63/175.68 | (3409) all_774_2_811 = all_751_2_784
% 223.63/175.68 |
% 223.63/175.68 | Combining equations (3387,3386) yields a new equation:
% 223.63/175.68 | (3410) all_608_1_592 = all_20_0_17
% 223.63/175.68 |
% 223.63/175.68 | Simplifying 3410 yields:
% 223.63/175.68 | (3411) all_608_1_592 = all_20_0_17
% 223.63/175.68 |
% 223.63/175.68 | Combining equations (3391,3390) yields a new equation:
% 223.63/175.68 | (3412) all_610_1_598 = zero
% 223.63/175.68 |
% 223.63/175.68 | Simplifying 3412 yields:
% 223.63/175.68 | (3413) all_610_1_598 = zero
% 223.63/175.68 |
% 223.63/175.68 | Combining equations (3367,3370) yields a new equation:
% 223.63/175.68 | (3414) all_777_2_815 = all_665_2_671
% 223.63/175.68 |
% 223.63/175.68 | Simplifying 3414 yields:
% 223.63/175.68 | (3415) all_777_2_815 = all_665_2_671
% 223.63/175.68 |
% 223.63/175.68 | Combining equations (3403,3399) yields a new equation:
% 223.63/175.68 | (3416) all_774_2_811 = all_108_2_96
% 223.63/175.68 |
% 223.63/175.68 | Simplifying 3416 yields:
% 223.63/175.68 | (3417) all_774_2_811 = all_108_2_96
% 223.63/175.68 |
% 223.63/175.68 | Combining equations (3369,3415) yields a new equation:
% 223.63/175.68 | (3418) all_666_2_674 = all_665_2_671
% 223.63/175.68 |
% 223.63/175.68 | Simplifying 3418 yields:
% 223.63/175.68 | (3419) all_666_2_674 = all_665_2_671
% 223.63/175.68 |
% 223.63/175.68 | Combining equations (3409,3417) yields a new equation:
% 223.63/175.68 | (3420) all_751_2_784 = all_108_2_96
% 223.63/175.68 |
% 223.63/175.68 | Simplifying 3420 yields:
% 223.63/175.68 | (3421) all_751_2_784 = all_108_2_96
% 223.63/175.68 |
% 223.63/175.68 | Combining equations (3371,3419) yields a new equation:
% 223.63/175.68 | (3422) all_665_2_671 = all_296_2_266
% 223.63/175.68 |
% 223.63/175.68 | Combining equations (3368,3419) yields a new equation:
% 223.63/175.68 | (3423) all_665_2_671 = one
% 223.63/175.68 |
% 223.63/175.68 | Combining equations (3422,3423) yields a new equation:
% 223.63/175.68 | (3424) all_296_2_266 = one
% 223.63/175.68 |
% 223.63/175.69 | Simplifying 3424 yields:
% 223.63/175.69 | (3425) all_296_2_266 = one
% 223.63/175.69 |
% 223.63/175.69 | Combining equations (3392,3413) yields a new equation:
% 223.63/175.69 | (3426) all_582_1_559 = zero
% 223.63/175.69 |
% 223.63/175.69 | Simplifying 3426 yields:
% 223.63/175.69 | (3427) all_582_1_559 = zero
% 223.63/175.69 |
% 223.63/175.69 | Combining equations (3385,3384) yields a new equation:
% 223.63/175.69 | (3428) all_333_1_300 = all_82_1_53
% 223.63/175.69 |
% 223.63/175.69 | Simplifying 3428 yields:
% 223.63/175.69 | (3429) all_333_1_300 = all_82_1_53
% 223.63/175.69 |
% 223.63/175.69 | Combining equations (3383,3382) yields a new equation:
% 223.63/175.69 | (3430) all_360_0_332 = all_87_1_63
% 223.63/175.69 |
% 223.63/175.69 | Simplifying 3430 yields:
% 223.63/175.69 | (3431) all_360_0_332 = all_87_1_63
% 223.63/175.69 |
% 223.63/175.69 | Combining equations (3372,3374) yields a new equation:
% 223.63/175.69 | (3432) all_172_2_186 = all_124_2_114
% 223.63/175.69 |
% 223.63/175.69 | Simplifying 3432 yields:
% 223.63/175.69 | (3433) all_172_2_186 = all_124_2_114
% 223.63/175.69 |
% 223.63/175.69 | Combining equations (3373,3425) yields a new equation:
% 223.63/175.69 | (3434) all_172_2_186 = one
% 223.63/175.69 |
% 223.63/175.69 | Simplifying 3434 yields:
% 223.63/175.69 | (3435) all_172_2_186 = one
% 223.63/175.69 |
% 223.63/175.69 | Combining equations (3433,3435) yields a new equation:
% 223.63/175.69 | (3436) all_124_2_114 = one
% 223.63/175.69 |
% 223.63/175.69 | Simplifying 3436 yields:
% 223.63/175.69 | (3437) all_124_2_114 = one
% 223.63/175.69 |
% 223.63/175.69 | Combining equations (3425,3389) yields a new equation:
% 223.63/175.69 | (3438) all_296_1_265 = one
% 223.63/175.69 |
% 223.63/175.69 | Combining equations (3421,3388) yields a new equation:
% 223.63/175.69 | (3439) all_751_1_783 = all_108_2_96
% 223.63/175.69 |
% 223.63/175.69 | From (3405) and (3339) follows:
% 223.63/175.69 | (43) strong_iteration(one) = all_0_2_2
% 223.63/175.69 |
% 223.63/175.69 | From (3407) and (3294) follows:
% 223.63/175.69 | (2780) strong_iteration(zero) = all_391_2_373
% 223.63/175.69 |
% 223.63/175.69 | From (3427) and (2916) follows:
% 223.63/175.69 | (3217) leq(zero, one) = 0
% 223.63/175.69 |
% 223.63/175.69 | From (3411) and (2965) follows:
% 223.63/175.69 | (3443) leq(one, all_20_0_17) = 0
% 223.63/175.69 |
% 223.63/175.69 | From (3382) and (2987) follows:
% 223.63/175.69 | (3444) leq(one, all_87_1_63) = 0
% 223.63/175.69 |
% 223.63/175.69 | From (3431) and (3221) follows:
% 223.63/175.69 | (3445) leq(zero, all_87_1_63) = 0
% 223.63/175.69 |
% 223.63/175.69 | From (3437) and (3325) follows:
% 223.63/175.69 | (1662) star(one) = one
% 223.63/175.69 |
% 223.63/175.69 | From (3421) and (3345) follows:
% 223.63/175.69 | (2909) star(zero) = all_108_2_96
% 223.63/175.69 |
% 223.63/175.69 | From (3381) and (3235) follows:
% 223.63/175.69 | (2802) multiplication(all_0_2_2, all_26_0_19) = all_528_1_500
% 223.63/175.69 |
% 223.63/175.69 | From (3431) and (3234) follows:
% 223.63/175.69 | (2816) multiplication(all_0_2_2, all_20_0_17) = all_87_1_63
% 223.63/175.69 |
% 223.63/175.69 | From (3429) and (3232) follows:
% 223.63/175.69 | (2817) multiplication(all_0_2_2, all_0_2_2) = all_82_1_53
% 223.63/175.69 |
% 223.63/175.69 | From (3411) and (3228) follows:
% 223.63/175.69 | (53) multiplication(all_0_2_2, zero) = all_20_0_17
% 223.63/175.69 |
% 223.63/175.69 | From (3421)(3439) and (3347) follows:
% 223.63/175.69 | (3452) multiplication(one, all_108_2_96) = all_108_2_96
% 223.63/175.69 |
% 223.63/175.69 | From (3425)(3438) and (3352) follows:
% 223.63/175.69 | (147) multiplication(one, one) = one
% 223.63/175.69 |
% 223.63/175.69 | From (3427) and (3229) follows:
% 223.63/175.69 | (148) multiplication(one, zero) = zero
% 223.63/175.69 |
% 223.63/175.69 | From (3394) and (3247) follows:
% 223.63/175.69 | (842) addition(all_20_0_17, all_0_1_1) = all_120_0_110
% 223.63/175.69 |
% 223.63/175.69 | From (3395) and (3248) follows:
% 223.63/175.69 | (1713) addition(all_20_0_17, one) = all_0_2_2
% 223.63/175.69 |
% 223.63/175.69 | From (3396) and (3261) follows:
% 223.63/175.69 | (2883) addition(one, all_44_0_29) = all_44_0_29
% 223.63/175.69 |
% 223.63/175.69 | From (3394) and (2858) follows:
% 223.63/175.69 | (3458) addition(zero, all_120_0_110) = all_120_0_110
% 223.63/175.69 |
% 223.63/175.69 | From (3393) and (2859) follows:
% 223.63/175.69 | (557) addition(zero, all_20_0_17) = all_20_0_17
% 223.63/175.69 |
% 223.63/175.69 +-Applying beta-rule and splitting (71), into two cases.
% 223.63/175.69 |-Branch one:
% 223.63/175.70 | (3460) all_20_0_17 = all_0_2_2
% 223.63/175.70 |
% 223.63/175.70 | From (3460) and (3218) follows:
% 223.63/175.70 | (3461) leq(all_0_2_2, all_87_1_63) = 0
% 223.63/175.70 |
% 223.63/175.70 | From (3460) and (3220) follows:
% 223.63/175.70 | (860) leq(all_0_2_2, all_0_2_2) = 0
% 223.63/175.70 |
% 223.63/175.70 | From (3460) and (3443) follows:
% 223.63/175.70 | (219) leq(one, all_0_2_2) = 0
% 223.63/175.70 |
% 223.63/175.70 | From (3460) and (3233) follows:
% 223.63/175.70 | (3464) multiplication(all_0_2_2, all_108_2_96) = all_1058_1_1124
% 223.63/175.70 |
% 223.63/175.70 | From (3460) and (967) follows:
% 223.63/175.70 | (3465) multiplication(all_0_2_2, all_0_2_2) = all_293_0_259
% 223.63/175.70 |
% 223.63/175.70 | From (3460) and (2816) follows:
% 223.63/175.70 | (3466) multiplication(all_0_2_2, all_0_2_2) = all_87_1_63
% 223.63/175.70 |
% 223.63/175.70 | From (3460) and (53) follows:
% 223.63/175.70 | (3467) multiplication(all_0_2_2, zero) = all_0_2_2
% 223.63/175.70 |
% 223.63/175.70 | From (3460)(3460) and (144) follows:
% 223.63/175.70 | (63) multiplication(one, all_0_2_2) = all_0_2_2
% 223.63/175.70 |
% 223.63/175.70 | From (3460) and (3252) follows:
% 223.63/175.70 | (3469) addition(all_0_2_2, all_519_0_492) = all_120_0_110
% 223.63/175.70 |
% 223.63/175.70 | From (3460) and (2869) follows:
% 223.63/175.70 | (3470) addition(all_0_2_2, all_120_0_110) = all_120_0_110
% 223.63/175.70 |
% 223.63/175.70 | From (3460) and (842) follows:
% 223.63/175.70 | (3471) addition(all_0_2_2, all_0_1_1) = all_120_0_110
% 223.63/175.70 |
% 223.63/175.70 | From (3460) and (1713) follows:
% 223.63/175.70 | (64) addition(all_0_2_2, one) = all_0_2_2
% 223.63/175.70 |
% 223.63/175.70 | From (3460)(3460) and (150) follows:
% 223.63/175.70 | (558) addition(all_0_2_2, zero) = all_0_2_2
% 223.63/175.70 |
% 223.63/175.70 | From (3460) and (286) follows:
% 223.63/175.70 | (3474) addition(all_0_1_1, all_0_2_2) = all_120_0_110
% 223.63/175.70 |
% 223.63/175.70 | From (3460) and (2842) follows:
% 223.63/175.70 | (561) addition(all_0_2_2, all_0_2_2) = all_0_2_2
% 223.63/175.70 |
% 223.63/175.70 | From (3460) and (3260) follows:
% 223.63/175.70 | (82) addition(one, all_0_2_2) = all_0_2_2
% 223.63/175.70 |
% 223.63/175.70 | From (3460)(3460) and (557) follows:
% 223.63/175.70 | (3477) addition(zero, all_0_2_2) = all_0_2_2
% 223.63/175.70 |
% 223.63/175.70 +-Applying beta-rule and splitting (1246), into two cases.
% 223.63/175.70 |-Branch one:
% 223.63/175.70 | (3478) all_667_0_675 = 0 & strong_iteration(one) = all_667_2_677 & leq(all_20_0_17, all_667_1_676) = 0 & multiplication(all_667_2_677, all_205_0_233) = all_667_1_676
% 223.63/175.70 |
% 223.63/175.70 | Applying alpha-rule on (3478) yields:
% 223.63/175.70 | (3479) all_667_0_675 = 0
% 223.63/175.70 | (3480) strong_iteration(one) = all_667_2_677
% 223.63/175.70 | (3481) leq(all_20_0_17, all_667_1_676) = 0
% 223.63/175.70 | (3482) multiplication(all_667_2_677, all_205_0_233) = all_667_1_676
% 223.63/175.70 |
% 223.63/175.70 +-Applying beta-rule and splitting (1291), into two cases.
% 223.63/175.70 |-Branch one:
% 223.63/175.70 | (3483) all_701_0_707 = 0 & leq(all_701_1_708, all_0_2_2) = 0 & star(zero) = all_701_2_709 & multiplication(all_49_1_36, all_701_2_709) = all_701_1_708
% 223.63/175.70 |
% 223.63/175.70 | Applying alpha-rule on (3483) yields:
% 223.63/175.70 | (3484) all_701_0_707 = 0
% 223.63/175.70 | (3485) leq(all_701_1_708, all_0_2_2) = 0
% 223.63/175.70 | (3486) star(zero) = all_701_2_709
% 223.63/175.70 | (3487) multiplication(all_49_1_36, all_701_2_709) = all_701_1_708
% 223.63/175.70 |
% 223.63/175.70 +-Applying beta-rule and splitting (324), into two cases.
% 223.63/175.70 |-Branch one:
% 223.63/175.70 | (3488) all_154_0_163 = 0 & leq(all_154_1_164, all_0_2_2) = 0 & star(zero) = all_154_2_165 & multiplication(zero, all_154_2_165) = all_154_1_164
% 223.63/175.70 |
% 223.63/175.70 | Applying alpha-rule on (3488) yields:
% 223.63/175.70 | (3489) all_154_0_163 = 0
% 223.63/175.70 | (3490) leq(all_154_1_164, all_0_2_2) = 0
% 223.63/175.70 | (3491) star(zero) = all_154_2_165
% 223.63/175.70 | (3492) multiplication(zero, all_154_2_165) = all_154_1_164
% 223.63/175.70 |
% 223.63/175.70 +-Applying beta-rule and splitting (291), into two cases.
% 223.63/175.70 |-Branch one:
% 223.63/175.70 | (3493) all_125_0_115 = 0 & strong_iteration(one) = all_125_2_117 & leq(all_20_0_17, all_125_1_116) = 0 & multiplication(all_125_2_117, one) = all_125_1_116
% 223.63/175.70 |
% 223.63/175.70 | Applying alpha-rule on (3493) yields:
% 223.63/175.70 | (3494) all_125_0_115 = 0
% 223.63/175.70 | (3495) strong_iteration(one) = all_125_2_117
% 223.63/175.70 | (3496) leq(all_20_0_17, all_125_1_116) = 0
% 223.63/175.70 | (3497) multiplication(all_125_2_117, one) = all_125_1_116
% 223.63/175.70 |
% 223.63/175.70 | From (3460) and (3496) follows:
% 223.63/175.70 | (3498) leq(all_0_2_2, all_125_1_116) = 0
% 223.63/175.70 |
% 223.63/175.70 +-Applying beta-rule and splitting (1292), into two cases.
% 223.63/175.70 |-Branch one:
% 223.63/175.70 | (3499) all_702_0_710 = 0 & strong_iteration(one) = all_702_2_712 & leq(all_20_0_17, all_702_1_711) = 0 & multiplication(all_702_2_712, all_203_0_232) = all_702_1_711
% 223.63/175.70 |
% 223.63/175.70 | Applying alpha-rule on (3499) yields:
% 223.63/175.70 | (3500) all_702_0_710 = 0
% 223.63/175.70 | (3501) strong_iteration(one) = all_702_2_712
% 223.63/175.70 | (3502) leq(all_20_0_17, all_702_1_711) = 0
% 223.63/175.70 | (3503) multiplication(all_702_2_712, all_203_0_232) = all_702_1_711
% 223.63/175.70 |
% 223.63/175.70 +-Applying beta-rule and splitting (351), into two cases.
% 223.63/175.70 |-Branch one:
% 223.63/175.70 | (3504) all_173_0_187 = 0 & strong_iteration(one) = all_173_2_189 & leq(all_20_0_17, all_173_1_188) = 0 & multiplication(all_173_2_189, all_20_1_18) = all_173_1_188
% 223.63/175.70 |
% 223.63/175.70 | Applying alpha-rule on (3504) yields:
% 223.63/175.70 | (3505) all_173_0_187 = 0
% 223.63/175.70 | (3506) strong_iteration(one) = all_173_2_189
% 223.63/175.71 | (3507) leq(all_20_0_17, all_173_1_188) = 0
% 223.63/175.71 | (3508) multiplication(all_173_2_189, all_20_1_18) = all_173_1_188
% 223.63/175.71 |
% 223.63/175.71 +-Applying beta-rule and splitting (1549), into two cases.
% 223.63/175.71 |-Branch one:
% 223.63/175.71 | (3509) all_1075_0_1144 = 0 & leq(all_1075_1_1145, all_0_2_2) = 0 & star(zero) = all_1075_2_1146 & multiplication(all_20_0_17, all_1075_2_1146) = all_1075_1_1145
% 223.63/175.71 |
% 223.63/175.71 | Applying alpha-rule on (3509) yields:
% 223.63/175.71 | (3510) all_1075_0_1144 = 0
% 223.63/175.71 | (3511) leq(all_1075_1_1145, all_0_2_2) = 0
% 223.63/175.71 | (3512) star(zero) = all_1075_2_1146
% 223.63/175.71 | (3513) multiplication(all_20_0_17, all_1075_2_1146) = all_1075_1_1145
% 223.63/175.71 |
% 223.63/175.71 | From (3460) and (3513) follows:
% 223.63/175.71 | (3514) multiplication(all_0_2_2, all_1075_2_1146) = all_1075_1_1145
% 223.63/175.71 |
% 223.63/175.71 | Instantiating formula (29) with one, all_667_2_677, all_0_2_2 and discharging atoms strong_iteration(one) = all_667_2_677, strong_iteration(one) = all_0_2_2, yields:
% 223.63/175.71 | (3515) all_667_2_677 = all_0_2_2
% 223.63/175.71 |
% 223.63/175.71 | Instantiating formula (29) with one, all_667_2_677, all_702_2_712 and discharging atoms strong_iteration(one) = all_702_2_712, strong_iteration(one) = all_667_2_677, yields:
% 223.63/175.71 | (3516) all_702_2_712 = all_667_2_677
% 223.63/175.71 |
% 223.63/175.71 | Instantiating formula (29) with one, all_173_2_189, all_702_2_712 and discharging atoms strong_iteration(one) = all_702_2_712, strong_iteration(one) = all_173_2_189, yields:
% 223.63/175.71 | (3517) all_702_2_712 = all_173_2_189
% 223.63/175.71 |
% 223.63/175.71 | Instantiating formula (29) with one, all_125_2_117, all_667_2_677 and discharging atoms strong_iteration(one) = all_667_2_677, strong_iteration(one) = all_125_2_117, yields:
% 223.63/175.71 | (3518) all_667_2_677 = all_125_2_117
% 223.63/175.71 |
% 223.63/175.71 | Instantiating formula (31) with zero, all_1075_2_1146, all_108_2_96 and discharging atoms star(zero) = all_1075_2_1146, star(zero) = all_108_2_96, yields:
% 223.63/175.71 | (3519) all_1075_2_1146 = all_108_2_96
% 223.63/175.71 |
% 223.63/175.71 | Instantiating formula (31) with zero, all_701_2_709, all_1075_2_1146 and discharging atoms star(zero) = all_1075_2_1146, star(zero) = all_701_2_709, yields:
% 223.63/175.71 | (3520) all_1075_2_1146 = all_701_2_709
% 223.63/175.71 |
% 223.63/175.71 | Instantiating formula (31) with zero, all_154_2_165, all_1075_2_1146 and discharging atoms star(zero) = all_1075_2_1146, star(zero) = all_154_2_165, yields:
% 223.63/175.71 | (3521) all_1075_2_1146 = all_154_2_165
% 223.63/175.71 |
% 223.63/175.71 | Instantiating formula (2) with all_125_1_116, all_125_2_117 and discharging atoms multiplication(all_125_2_117, one) = all_125_1_116, yields:
% 223.63/175.71 | (3522) all_125_1_116 = all_125_2_117
% 223.63/175.71 |
% 223.63/175.71 | Instantiating formula (19) with all_0_2_2, all_0_2_2, all_293_0_259, all_82_1_53 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_293_0_259, multiplication(all_0_2_2, all_0_2_2) = all_82_1_53, yields:
% 223.63/175.71 | (3523) all_293_0_259 = all_82_1_53
% 223.63/175.71 |
% 223.63/175.71 | Instantiating formula (19) with all_0_2_2, all_0_2_2, all_87_1_63, all_293_0_259 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_293_0_259, multiplication(all_0_2_2, all_0_2_2) = all_87_1_63, yields:
% 223.63/175.71 | (3524) all_293_0_259 = all_87_1_63
% 223.63/175.71 |
% 223.63/175.71 | Instantiating formula (6) with all_154_1_164, all_154_2_165 and discharging atoms multiplication(zero, all_154_2_165) = all_154_1_164, yields:
% 223.63/175.71 | (3525) all_154_1_164 = zero
% 223.63/175.71 |
% 223.63/175.71 | Instantiating formula (36) with all_0_2_2, all_0_1_1, all_120_0_110, all_26_0_19 and discharging atoms addition(all_0_2_2, all_0_1_1) = all_120_0_110, addition(all_0_2_2, all_0_1_1) = all_26_0_19, yields:
% 223.63/175.71 | (3526) all_120_0_110 = all_26_0_19
% 223.63/175.71 |
% 223.63/175.71 | Combining equations (3519,3520) yields a new equation:
% 223.63/175.71 | (3527) all_701_2_709 = all_108_2_96
% 223.63/175.71 |
% 223.63/175.71 | Combining equations (3521,3520) yields a new equation:
% 223.63/175.71 | (3528) all_701_2_709 = all_154_2_165
% 223.63/175.71 |
% 223.63/175.71 | Combining equations (3516,3517) yields a new equation:
% 223.63/175.71 | (3529) all_667_2_677 = all_173_2_189
% 223.63/175.71 |
% 223.63/175.71 | Simplifying 3529 yields:
% 223.63/175.71 | (3530) all_667_2_677 = all_173_2_189
% 223.63/175.71 |
% 223.63/175.71 | Combining equations (3527,3528) yields a new equation:
% 223.63/175.71 | (3531) all_154_2_165 = all_108_2_96
% 223.63/175.71 |
% 223.63/175.71 | Combining equations (3515,3530) yields a new equation:
% 223.63/175.71 | (3532) all_173_2_189 = all_0_2_2
% 223.63/175.71 |
% 223.63/175.71 | Combining equations (3518,3530) yields a new equation:
% 223.63/175.71 | (3533) all_173_2_189 = all_125_2_117
% 223.63/175.71 |
% 223.63/175.71 | Combining equations (3524,3523) yields a new equation:
% 223.63/175.71 | (3534) all_87_1_63 = all_82_1_53
% 223.63/175.71 |
% 223.63/175.71 | Simplifying 3534 yields:
% 223.63/175.71 | (3535) all_87_1_63 = all_82_1_53
% 223.63/175.71 |
% 223.63/175.71 | Combining equations (3533,3532) yields a new equation:
% 223.63/175.71 | (3536) all_125_2_117 = all_0_2_2
% 223.63/175.71 |
% 223.63/175.71 | Simplifying 3536 yields:
% 223.63/175.71 | (3537) all_125_2_117 = all_0_2_2
% 223.63/175.71 |
% 223.63/175.71 | Combining equations (3537,3522) yields a new equation:
% 223.63/175.71 | (3538) all_125_1_116 = all_0_2_2
% 223.63/175.71 |
% 223.63/175.71 | Combining equations (3526,2672) yields a new equation:
% 223.63/175.71 | (3539) all_155_0_166 = all_26_0_19
% 223.63/175.71 |
% 223.63/175.71 | Combining equations (3531,3528) yields a new equation:
% 223.63/175.71 | (3527) all_701_2_709 = all_108_2_96
% 223.63/175.71 |
% 223.63/175.71 | Combining equations (3527,3520) yields a new equation:
% 223.63/175.71 | (3519) all_1075_2_1146 = all_108_2_96
% 223.63/175.71 |
% 223.63/175.71 | From (3537) and (3495) follows:
% 223.63/175.71 | (43) strong_iteration(one) = all_0_2_2
% 223.63/175.71 |
% 223.63/175.71 | From (3525) and (3490) follows:
% 223.63/175.71 | (2784) leq(zero, all_0_2_2) = 0
% 223.63/175.71 |
% 223.63/175.71 | From (3538) and (3498) follows:
% 223.63/175.71 | (860) leq(all_0_2_2, all_0_2_2) = 0
% 223.63/175.71 |
% 223.63/175.71 | From (3535) and (3461) follows:
% 223.63/175.71 | (3545) leq(all_0_2_2, all_82_1_53) = 0
% 223.63/175.71 |
% 223.63/175.71 | From (3535) and (3444) follows:
% 223.63/175.71 | (3546) leq(one, all_82_1_53) = 0
% 223.63/175.71 |
% 223.63/175.71 | From (3535) and (3445) follows:
% 223.63/175.71 | (3547) leq(zero, all_82_1_53) = 0
% 223.63/175.71 |
% 223.63/175.71 | From (3531) and (3491) follows:
% 223.63/175.71 | (2909) star(zero) = all_108_2_96
% 223.63/175.71 |
% 223.63/175.71 | From (3537)(3538) and (3497) follows:
% 223.63/175.71 | (544) multiplication(all_0_2_2, one) = all_0_2_2
% 223.63/175.71 |
% 223.63/175.71 | From (3535) and (3226) follows:
% 223.63/175.71 | (3550) multiplication(all_82_1_53, zero) = all_82_1_53
% 223.63/175.71 |
% 223.63/175.71 | From (3519) and (3514) follows:
% 223.63/175.72 | (3551) multiplication(all_0_2_2, all_108_2_96) = all_1075_1_1145
% 223.63/175.72 |
% 223.63/175.72 | From (3526) and (2800) follows:
% 223.63/175.72 | (3552) multiplication(all_0_2_2, all_26_0_19) = all_655_1_654
% 223.63/175.72 |
% 223.63/175.72 | From (3531)(3525) and (3492) follows:
% 223.63/175.72 | (3553) multiplication(zero, all_108_2_96) = zero
% 223.63/175.72 |
% 223.63/175.72 | From (3526)(3526) and (2854) follows:
% 223.63/175.72 | (559) addition(all_26_0_19, zero) = all_26_0_19
% 223.63/175.72 |
% 223.63/175.72 | From (3535)(3535)(3535) and (3250) follows:
% 223.63/175.72 | (3555) addition(all_82_1_53, all_82_1_53) = all_82_1_53
% 223.63/175.72 |
% 223.63/175.72 | From (3535) and (3251) follows:
% 223.63/175.72 | (3556) addition(all_82_1_53, all_0_2_2) = all_82_1_53
% 223.63/175.72 |
% 223.63/175.72 | From (3526) and (3474) follows:
% 223.63/175.72 | (61) addition(all_0_1_1, all_0_2_2) = all_26_0_19
% 223.63/175.72 |
% 223.63/175.72 | From (3526) and (3469) follows:
% 223.63/175.72 | (1126) addition(all_0_2_2, all_519_0_492) = all_26_0_19
% 223.63/175.72 |
% 223.63/175.72 | From (3526)(3526) and (3470) follows:
% 223.63/175.72 | (3559) addition(all_0_2_2, all_26_0_19) = all_26_0_19
% 223.63/175.72 |
% 223.63/175.72 | From (3535) and (3257) follows:
% 223.63/175.72 | (3560) addition(all_0_2_2, all_82_1_53) = all_82_1_53
% 223.63/175.72 |
% 223.63/175.72 | From (3526) and (3471) follows:
% 223.63/175.72 | (74) addition(all_0_2_2, all_0_1_1) = all_26_0_19
% 223.63/175.72 |
% 223.63/175.72 | From (3526) and (3262) follows:
% 223.63/175.72 | (579) addition(one, all_26_0_19) = all_26_0_19
% 223.63/175.72 |
% 223.63/175.72 | From (3535)(3535) and (3263) follows:
% 223.63/175.72 | (3563) addition(one, all_82_1_53) = all_82_1_53
% 223.63/175.72 |
% 223.63/175.72 | From (3526)(3526) and (3458) follows:
% 223.63/175.72 | (3564) addition(zero, all_26_0_19) = all_26_0_19
% 223.63/175.72 |
% 223.63/175.72 | Instantiating formula (19) with all_0_2_2, all_108_2_96, all_1075_1_1145, all_1058_1_1124 and discharging atoms multiplication(all_0_2_2, all_108_2_96) = all_1075_1_1145, multiplication(all_0_2_2, all_108_2_96) = all_1058_1_1124, yields:
% 223.63/175.72 | (3565) all_1075_1_1145 = all_1058_1_1124
% 223.63/175.72 |
% 223.63/175.72 | Instantiating formula (19) with all_0_2_2, all_26_0_19, all_655_1_654, all_528_1_500 and discharging atoms multiplication(all_0_2_2, all_26_0_19) = all_655_1_654, multiplication(all_0_2_2, all_26_0_19) = all_528_1_500, yields:
% 223.63/175.72 | (3566) all_655_1_654 = all_528_1_500
% 223.63/175.72 |
% 223.63/175.72 | From (3565) and (3551) follows:
% 223.63/175.72 | (3464) multiplication(all_0_2_2, all_108_2_96) = all_1058_1_1124
% 223.63/175.72 |
% 223.63/175.72 | From (3566) and (3552) follows:
% 223.63/175.72 | (2802) multiplication(all_0_2_2, all_26_0_19) = all_528_1_500
% 223.63/175.72 |
% 223.63/175.72 +-Applying beta-rule and splitting (205), into two cases.
% 223.63/175.72 |-Branch one:
% 223.63/175.72 | (3569) all_26_0_19 = all_0_1_1
% 223.63/175.72 |
% 223.63/175.72 | From (3569)(3569) and (579) follows:
% 223.63/175.72 | (3570) addition(one, all_0_1_1) = all_0_1_1
% 223.63/175.72 |
% 223.63/175.72 +-Applying beta-rule and splitting (886), into two cases.
% 223.63/175.72 |-Branch one:
% 223.63/175.72 | (3571) all_147_0_152 = all_0_1_1
% 223.63/175.72 |
% 223.63/175.72 | Combining equations (2719,3571) yields a new equation:
% 223.63/175.72 | (3572) all_44_0_29 = all_0_1_1
% 223.63/175.72 |
% 223.63/175.72 | Simplifying 3572 yields:
% 223.63/175.72 | (3573) all_44_0_29 = all_0_1_1
% 223.63/175.72 |
% 223.63/175.72 | From (3573) and (3219) follows:
% 223.63/175.72 | (3574) leq(all_0_1_1, all_0_1_1) = all_1301_0_1374
% 223.63/175.72 |
% 223.63/175.72 | Instantiating formula (7) with all_1301_0_1374, all_0_1_1, all_0_1_1 and discharging atoms leq(all_0_1_1, all_0_1_1) = all_1301_0_1374, yields:
% 223.63/175.72 | (3575) all_1301_0_1374 = 0 | ? [v0] : ( ~ (v0 = all_0_1_1) & addition(all_0_1_1, all_0_1_1) = v0)
% 223.63/175.72 |
% 223.63/175.72 | Instantiating formula (5) with all_1301_0_1374, all_0_1_1, one, all_0_1_1, all_0_1_1, one and discharging atoms leq(all_0_1_1, all_0_1_1) = all_1301_0_1374, star(one) = one, multiplication(one, all_0_1_1) = all_0_1_1, yields:
% 223.63/175.72 | (3576) all_1301_0_1374 = 0 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = 0) & leq(v1, all_0_1_1) = v2 & multiplication(one, all_0_1_1) = v0 & addition(v0, all_0_1_1) = v1)
% 223.63/175.72 |
% 223.63/175.72 +-Applying beta-rule and splitting (3576), into two cases.
% 223.63/175.72 |-Branch one:
% 223.63/175.72 | (3577) all_1301_0_1374 = 0
% 223.63/175.72 |
% 223.63/175.72 | Equations (3577) can reduce 1806 to:
% 223.63/175.72 | (56) $false
% 223.63/175.72 |
% 223.63/175.72 |-The branch is then unsatisfiable
% 223.63/175.72 |-Branch two:
% 223.63/175.72 | (1806) ~ (all_1301_0_1374 = 0)
% 223.63/175.72 | (3580) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = 0) & leq(v1, all_0_1_1) = v2 & multiplication(one, all_0_1_1) = v0 & addition(v0, all_0_1_1) = v1)
% 223.63/175.72 |
% 223.63/175.72 +-Applying beta-rule and splitting (3575), into two cases.
% 223.63/175.72 |-Branch one:
% 223.63/175.72 | (3577) all_1301_0_1374 = 0
% 223.63/175.72 |
% 223.63/175.72 | Equations (3577) can reduce 1806 to:
% 223.63/175.72 | (56) $false
% 223.63/175.72 |
% 223.63/175.72 |-The branch is then unsatisfiable
% 223.63/175.72 |-Branch two:
% 223.63/175.72 | (1806) ~ (all_1301_0_1374 = 0)
% 223.63/175.72 | (3584) ? [v0] : ( ~ (v0 = all_0_1_1) & addition(all_0_1_1, all_0_1_1) = v0)
% 223.63/175.72 |
% 223.63/175.72 | Instantiating (3584) with all_2487_0_1917 yields:
% 223.63/175.72 | (3585) ~ (all_2487_0_1917 = all_0_1_1) & addition(all_0_1_1, all_0_1_1) = all_2487_0_1917
% 223.63/175.72 |
% 223.63/175.73 | Applying alpha-rule on (3585) yields:
% 223.63/175.73 | (3586) ~ (all_2487_0_1917 = all_0_1_1)
% 223.63/175.73 | (3587) addition(all_0_1_1, all_0_1_1) = all_2487_0_1917
% 223.63/175.73 |
% 223.63/175.73 | Instantiating formula (25) with all_2487_0_1917, all_0_1_1 and discharging atoms addition(all_0_1_1, all_0_1_1) = all_2487_0_1917, yields:
% 223.63/175.73 | (3588) all_2487_0_1917 = all_0_1_1
% 223.63/175.73 |
% 223.63/175.73 | Equations (3588) can reduce 3586 to:
% 223.63/175.73 | (56) $false
% 223.63/175.73 |
% 223.63/175.73 |-The branch is then unsatisfiable
% 223.63/175.73 |-Branch two:
% 223.63/175.73 | (3590) ~ (all_147_0_152 = all_0_1_1)
% 223.63/175.73 | (3591) ? [v0] : ( ~ (v0 = 0) & leq(one, all_0_1_1) = v0)
% 223.63/175.73 |
% 223.63/175.73 | Equations (2719) can reduce 3590 to:
% 223.63/175.73 | (3592) ~ (all_44_0_29 = all_0_1_1)
% 223.63/175.73 |
% 223.63/175.73 +-Applying beta-rule and splitting (852), into two cases.
% 223.63/175.73 |-Branch one:
% 223.63/175.73 | (3593) all_147_0_152 = all_26_0_19
% 223.63/175.73 |
% 223.63/175.73 | Combining equations (2719,3593) yields a new equation:
% 223.63/175.73 | (3594) all_44_0_29 = all_26_0_19
% 223.63/175.73 |
% 223.63/175.73 | Simplifying 3594 yields:
% 223.63/175.73 | (3595) all_44_0_29 = all_26_0_19
% 223.63/175.73 |
% 223.63/175.73 | Combining equations (3569,3595) yields a new equation:
% 223.63/175.73 | (3573) all_44_0_29 = all_0_1_1
% 223.63/175.73 |
% 223.63/175.73 | Equations (3573) can reduce 3592 to:
% 223.63/175.73 | (56) $false
% 223.63/175.73 |
% 223.63/175.73 |-The branch is then unsatisfiable
% 223.63/175.73 |-Branch two:
% 223.63/175.73 | (3598) ~ (all_147_0_152 = all_26_0_19)
% 223.63/175.73 | (3599) ? [v0] : ( ~ (v0 = 0) & leq(all_0_2_2, all_147_0_152) = v0)
% 223.63/175.73 |
% 223.63/175.73 | Equations (2719,3569) can reduce 3598 to:
% 223.63/175.73 | (3592) ~ (all_44_0_29 = all_0_1_1)
% 223.63/175.73 |
% 223.63/175.73 | Instantiating formula (36) with one, all_0_1_1, all_0_1_1, all_44_0_29 and discharging atoms addition(one, all_0_1_1) = all_44_0_29, addition(one, all_0_1_1) = all_0_1_1, yields:
% 223.63/175.73 | (3573) all_44_0_29 = all_0_1_1
% 223.63/175.73 |
% 223.63/175.73 | Equations (3573) can reduce 3592 to:
% 223.63/175.73 | (56) $false
% 223.63/175.73 |
% 223.63/175.73 |-The branch is then unsatisfiable
% 223.63/175.73 |-Branch two:
% 223.63/175.73 | (3603) ~ (all_26_0_19 = all_0_1_1)
% 223.63/175.73 | (3604) ? [v0] : ( ~ (v0 = 0) & leq(all_0_2_2, all_0_1_1) = v0)
% 223.63/175.73 |
% 223.63/175.73 | Instantiating (3604) with all_1965_0_1920 yields:
% 223.63/175.73 | (3605) ~ (all_1965_0_1920 = 0) & leq(all_0_2_2, all_0_1_1) = all_1965_0_1920
% 223.63/175.73 |
% 223.63/175.73 | Applying alpha-rule on (3605) yields:
% 223.63/175.73 | (3606) ~ (all_1965_0_1920 = 0)
% 223.63/175.73 | (3607) leq(all_0_2_2, all_0_1_1) = all_1965_0_1920
% 223.63/175.73 |
% 223.63/175.73 +-Applying beta-rule and splitting (320), into two cases.
% 223.63/175.73 |-Branch one:
% 223.63/175.73 | (3608) all_150_0_156 = 0 & strong_iteration(one) = all_150_2_158 & leq(all_0_2_2, all_150_1_157) = 0 & multiplication(all_150_2_158, all_0_1_1) = all_150_1_157
% 223.63/175.73 |
% 223.63/175.73 | Applying alpha-rule on (3608) yields:
% 223.63/175.73 | (3609) all_150_0_156 = 0
% 223.63/175.73 | (3610) strong_iteration(one) = all_150_2_158
% 223.63/175.73 | (3611) leq(all_0_2_2, all_150_1_157) = 0
% 223.63/175.73 | (3612) multiplication(all_150_2_158, all_0_1_1) = all_150_1_157
% 223.63/175.73 |
% 223.63/175.73 | Instantiating formula (29) with one, all_150_2_158, all_0_2_2 and discharging atoms strong_iteration(one) = all_150_2_158, strong_iteration(one) = all_0_2_2, yields:
% 223.63/175.73 | (3613) all_150_2_158 = all_0_2_2
% 223.63/175.73 |
% 223.63/175.73 | From (3613) and (3610) follows:
% 223.63/175.73 | (43) strong_iteration(one) = all_0_2_2
% 223.63/175.73 |
% 223.63/175.73 | From (3613) and (3612) follows:
% 223.63/175.73 | (3615) multiplication(all_0_2_2, all_0_1_1) = all_150_1_157
% 223.63/175.73 |
% 223.63/175.73 | Instantiating formula (42) with all_391_2_373, zero and discharging atoms strong_iteration(zero) = all_391_2_373, yields:
% 223.63/175.73 | (3616) ? [v0] : ? [v1] : (star(zero) = v0 & multiplication(all_391_2_373, zero) = v1 & addition(v0, v1) = all_391_2_373)
% 223.63/175.73 |
% 223.63/175.73 | Instantiating formula (5) with all_1965_0_1920, all_0_2_2, one, all_0_1_1, all_0_2_2, one and discharging atoms leq(all_0_2_2, all_0_1_1) = all_1965_0_1920, star(one) = one, multiplication(one, all_0_2_2) = all_0_2_2, yields:
% 223.63/175.73 | (3617) all_1965_0_1920 = 0 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = 0) & leq(v1, all_0_1_1) = v2 & multiplication(one, all_0_1_1) = v0 & addition(v0, all_0_2_2) = v1)
% 223.63/175.73 |
% 223.63/175.73 | Instantiating formula (4) with all_108_2_96, zero and discharging atoms star(zero) = all_108_2_96, yields:
% 223.63/175.73 | (3618) ? [v0] : (multiplication(zero, all_108_2_96) = v0 & addition(one, v0) = all_108_2_96)
% 223.63/175.73 |
% 223.63/175.73 | Instantiating formula (13) with all_1058_1_1124, all_0_2_2, all_108_2_96, all_0_2_2, one and discharging atoms multiplication(all_0_2_2, all_108_2_96) = all_1058_1_1124, multiplication(one, all_0_2_2) = all_0_2_2, yields:
% 223.63/175.73 | (3619) ? [v0] : (multiplication(all_0_2_2, all_108_2_96) = v0 & multiplication(one, v0) = all_1058_1_1124)
% 223.63/175.73 |
% 223.63/175.73 | Instantiating formula (22) with all_1058_1_1124, all_0_2_2, all_108_2_96, all_0_2_2, all_0_2_2 and discharging atoms multiplication(all_0_2_2, all_108_2_96) = all_1058_1_1124, addition(all_0_2_2, all_0_2_2) = all_0_2_2, yields:
% 223.63/175.73 | (3620) ? [v0] : ? [v1] : (multiplication(all_0_2_2, all_108_2_96) = v1 & multiplication(all_0_2_2, all_108_2_96) = v0 & addition(v0, v1) = all_1058_1_1124)
% 223.63/175.73 |
% 223.63/175.73 | Instantiating formula (22) with all_1058_1_1124, all_0_2_2, all_108_2_96, one, all_0_2_2 and discharging atoms multiplication(all_0_2_2, all_108_2_96) = all_1058_1_1124, addition(all_0_2_2, one) = all_0_2_2, yields:
% 223.63/175.73 | (3621) ? [v0] : ? [v1] : (multiplication(all_0_2_2, all_108_2_96) = v0 & multiplication(one, all_108_2_96) = v1 & addition(v0, v1) = all_1058_1_1124)
% 223.63/175.73 |
% 223.63/175.73 | Instantiating formula (22) with all_1058_1_1124, all_0_2_2, all_108_2_96, zero, all_0_2_2 and discharging atoms multiplication(all_0_2_2, all_108_2_96) = all_1058_1_1124, addition(all_0_2_2, zero) = all_0_2_2, yields:
% 223.63/175.73 | (3622) ? [v0] : ? [v1] : (multiplication(all_0_2_2, all_108_2_96) = v0 & multiplication(zero, all_108_2_96) = v1 & addition(v0, v1) = all_1058_1_1124)
% 223.63/175.73 |
% 223.63/175.73 | Instantiating formula (22) with all_1058_1_1124, all_0_2_2, all_108_2_96, all_0_2_2, one and discharging atoms multiplication(all_0_2_2, all_108_2_96) = all_1058_1_1124, addition(one, all_0_2_2) = all_0_2_2, yields:
% 223.63/175.73 | (3623) ? [v0] : ? [v1] : (multiplication(all_0_2_2, all_108_2_96) = v1 & multiplication(one, all_108_2_96) = v0 & addition(v0, v1) = all_1058_1_1124)
% 223.63/175.73 |
% 223.63/175.73 | Instantiating formula (12) with all_528_1_500, all_26_0_19, zero, all_26_0_19, all_0_2_2 and discharging atoms multiplication(all_0_2_2, all_26_0_19) = all_528_1_500, addition(all_26_0_19, zero) = all_26_0_19, yields:
% 223.63/175.73 | (3624) ? [v0] : ? [v1] : (multiplication(all_0_2_2, all_26_0_19) = v0 & multiplication(all_0_2_2, zero) = v1 & addition(v0, v1) = all_528_1_500)
% 223.63/175.73 |
% 223.63/175.73 | Instantiating formula (12) with all_528_1_500, all_26_0_19, all_0_1_1, all_0_2_2, all_0_2_2 and discharging atoms multiplication(all_0_2_2, all_26_0_19) = all_528_1_500, addition(all_0_2_2, all_0_1_1) = all_26_0_19, yields:
% 223.63/175.73 | (3625) ? [v0] : ? [v1] : (multiplication(all_0_2_2, all_0_1_1) = v1 & multiplication(all_0_2_2, all_0_2_2) = v0 & addition(v0, v1) = all_528_1_500)
% 223.63/175.73 |
% 223.63/175.73 | Instantiating formula (13) with all_150_1_157, all_0_2_2, all_0_1_1, all_0_2_2, one and discharging atoms multiplication(all_0_2_2, all_0_1_1) = all_150_1_157, multiplication(one, all_0_2_2) = all_0_2_2, yields:
% 223.63/175.73 | (3626) ? [v0] : (multiplication(all_0_2_2, all_0_1_1) = v0 & multiplication(one, v0) = all_150_1_157)
% 223.63/175.73 |
% 223.63/175.73 | Instantiating formula (22) with all_150_1_157, all_0_2_2, all_0_1_1, all_0_2_2, all_0_2_2 and discharging atoms multiplication(all_0_2_2, all_0_1_1) = all_150_1_157, addition(all_0_2_2, all_0_2_2) = all_0_2_2, yields:
% 223.63/175.73 | (3627) ? [v0] : ? [v1] : (multiplication(all_0_2_2, all_0_1_1) = v1 & multiplication(all_0_2_2, all_0_1_1) = v0 & addition(v0, v1) = all_150_1_157)
% 223.63/175.73 |
% 223.63/175.73 | Instantiating formula (22) with all_150_1_157, all_0_2_2, all_0_1_1, one, all_0_2_2 and discharging atoms multiplication(all_0_2_2, all_0_1_1) = all_150_1_157, addition(all_0_2_2, one) = all_0_2_2, yields:
% 223.63/175.73 | (3628) ? [v0] : ? [v1] : (multiplication(all_0_2_2, all_0_1_1) = v0 & multiplication(one, all_0_1_1) = v1 & addition(v0, v1) = all_150_1_157)
% 223.63/175.73 |
% 223.63/175.73 | Instantiating formula (22) with all_150_1_157, all_0_2_2, all_0_1_1, zero, all_0_2_2 and discharging atoms multiplication(all_0_2_2, all_0_1_1) = all_150_1_157, addition(all_0_2_2, zero) = all_0_2_2, yields:
% 223.63/175.73 | (3629) ? [v0] : ? [v1] : (multiplication(all_0_2_2, all_0_1_1) = v0 & multiplication(zero, all_0_1_1) = v1 & addition(v0, v1) = all_150_1_157)
% 223.63/175.73 |
% 223.63/175.73 | Instantiating formula (24) with all_0_0_0, all_0_2_2, all_0_2_2, all_0_1_1, zero, one and discharging atoms strong_iteration(one) = all_0_2_2, leq(all_0_1_1, all_0_2_2) = all_0_0_0, multiplication(all_0_2_2, zero) = all_0_2_2, yields:
% 223.63/175.73 | (3630) all_0_0_0 = 0 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = 0) & leq(all_0_1_1, v1) = v2 & multiplication(one, all_0_1_1) = v0 & addition(v0, zero) = v1)
% 223.63/175.73 |
% 223.63/175.73 | Instantiating formula (13) with all_1058_1_1124, all_0_2_2, all_108_2_96, zero, all_0_2_2 and discharging atoms multiplication(all_0_2_2, all_108_2_96) = all_1058_1_1124, multiplication(all_0_2_2, zero) = all_0_2_2, yields:
% 223.63/175.73 | (3631) ? [v0] : (multiplication(all_0_2_2, v0) = all_1058_1_1124 & multiplication(zero, all_108_2_96) = v0)
% 223.63/175.73 |
% 223.63/175.73 | Instantiating formula (13) with all_528_1_500, all_0_2_2, all_26_0_19, zero, all_0_2_2 and discharging atoms multiplication(all_0_2_2, all_26_0_19) = all_528_1_500, multiplication(all_0_2_2, zero) = all_0_2_2, yields:
% 223.63/175.73 | (3632) ? [v0] : (multiplication(all_0_2_2, v0) = all_528_1_500 & multiplication(zero, all_26_0_19) = v0)
% 223.63/175.73 |
% 223.63/175.73 | Instantiating formula (13) with all_150_1_157, all_0_2_2, all_0_1_1, zero, all_0_2_2 and discharging atoms multiplication(all_0_2_2, all_0_1_1) = all_150_1_157, multiplication(all_0_2_2, zero) = all_0_2_2, yields:
% 223.63/175.73 | (3633) ? [v0] : (multiplication(all_0_2_2, v0) = all_150_1_157 & multiplication(zero, all_0_1_1) = v0)
% 223.63/175.73 |
% 223.63/175.73 | Instantiating formula (22) with all_0_1_1, one, all_0_1_1, one, one and discharging atoms multiplication(one, all_0_1_1) = all_0_1_1, addition(one, one) = one, yields:
% 223.63/175.73 | (3634) ? [v0] : ? [v1] : (multiplication(one, all_0_1_1) = v1 & multiplication(one, all_0_1_1) = v0 & addition(v0, v1) = all_0_1_1)
% 223.63/175.73 |
% 223.63/175.73 | Instantiating formula (26) with all_0_2_2, zero, all_108_2_96, zero, all_0_2_2 and discharging atoms multiplication(all_0_2_2, zero) = all_0_2_2, multiplication(zero, all_108_2_96) = zero, yields:
% 223.63/175.73 | (3635) ? [v0] : (multiplication(v0, all_108_2_96) = all_0_2_2 & multiplication(all_0_2_2, zero) = v0)
% 223.63/175.73 |
% 223.63/175.73 | Instantiating formula (26) with all_0_2_2, zero, all_0_2_2, zero, all_0_2_2 and discharging atoms multiplication(all_0_2_2, zero) = all_0_2_2, multiplication(zero, all_0_2_2) = zero, yields:
% 223.63/175.74 | (3636) ? [v0] : (multiplication(v0, all_0_2_2) = all_0_2_2 & multiplication(all_0_2_2, zero) = v0)
% 223.63/175.74 |
% 223.63/175.74 | Instantiating formula (13) with zero, zero, all_108_2_96, all_0_2_2, zero and discharging atoms multiplication(zero, all_108_2_96) = zero, multiplication(zero, all_0_2_2) = zero, yields:
% 223.63/175.74 | (3637) ? [v0] : (multiplication(all_0_2_2, all_108_2_96) = v0 & multiplication(zero, v0) = zero)
% 223.63/175.74 |
% 223.63/175.74 | Instantiating formula (40) with zero, zero, all_0_2_2, zero, zero and discharging atoms multiplication(zero, all_0_2_2) = zero, addition(zero, zero) = zero, yields:
% 223.63/175.74 | (3638) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, all_0_2_2) = 0 & star(zero) = v0 & multiplication(v0, zero) = v1) | ( ~ (v0 = 0) & leq(zero, all_0_2_2) = v0))
% 223.63/175.74 |
% 223.63/175.74 | Instantiating formula (40) with zero, zero, one, zero, zero and discharging atoms multiplication(zero, one) = zero, addition(zero, zero) = zero, yields:
% 223.63/175.74 | (3639) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, one) = 0 & star(zero) = v0 & multiplication(v0, zero) = v1) | ( ~ (v0 = 0) & leq(zero, one) = v0))
% 223.63/175.74 |
% 223.63/175.74 | Instantiating formula (18) with all_82_1_53, all_82_1_53, all_82_1_53, all_82_1_53, zero and discharging atoms multiplication(all_82_1_53, zero) = all_82_1_53, addition(all_82_1_53, all_82_1_53) = all_82_1_53, yields:
% 223.63/175.74 | (3640) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, all_82_1_53) = 0 & star(zero) = v0 & multiplication(all_82_1_53, v0) = v1) | ( ~ (v0 = 0) & leq(all_82_1_53, all_82_1_53) = v0))
% 223.63/175.74 |
% 223.63/175.74 | Instantiating formula (23) with all_82_1_53, all_82_1_53, all_82_1_53, all_82_1_53, one and discharging atoms multiplication(one, all_82_1_53) = all_82_1_53, addition(all_82_1_53, all_82_1_53) = all_82_1_53, yields:
% 223.63/175.74 | (3641) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(one) = v0 & leq(all_82_1_53, v1) = 0 & multiplication(v0, all_82_1_53) = v1) | ( ~ (v0 = 0) & leq(all_82_1_53, all_82_1_53) = v0))
% 223.63/175.74 |
% 223.63/175.74 | Instantiating formula (16) with all_82_1_53, all_82_1_53 and discharging atoms addition(all_82_1_53, all_82_1_53) = all_82_1_53, yields:
% 223.63/175.74 | (3642) leq(all_82_1_53, all_82_1_53) = 0
% 223.63/175.74 |
% 223.63/175.74 | Instantiating formula (18) with all_82_1_53, all_82_1_53, all_82_1_53, all_0_2_2, zero and discharging atoms multiplication(all_82_1_53, zero) = all_82_1_53, addition(all_82_1_53, all_0_2_2) = all_82_1_53, yields:
% 223.63/175.74 | (3643) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, all_82_1_53) = 0 & star(zero) = v0 & multiplication(all_0_2_2, v0) = v1) | ( ~ (v0 = 0) & leq(all_82_1_53, all_82_1_53) = v0))
% 223.63/175.74 |
% 223.63/175.74 | Instantiating formula (23) with all_82_1_53, all_82_1_53, all_82_1_53, all_0_2_2, one and discharging atoms multiplication(one, all_82_1_53) = all_82_1_53, addition(all_82_1_53, all_0_2_2) = all_82_1_53, yields:
% 223.63/175.74 | (3644) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(one) = v0 & leq(all_82_1_53, v1) = 0 & multiplication(v0, all_0_2_2) = v1) | ( ~ (v0 = 0) & leq(all_82_1_53, all_82_1_53) = v0))
% 223.63/175.74 |
% 223.63/175.74 | Instantiating formula (18) with all_82_1_53, all_82_1_53, all_82_1_53, zero, zero and discharging atoms multiplication(all_82_1_53, zero) = all_82_1_53, addition(all_82_1_53, zero) = all_82_1_53, yields:
% 223.63/175.74 | (3645) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, all_82_1_53) = 0 & star(zero) = v0 & multiplication(zero, v0) = v1) | ( ~ (v0 = 0) & leq(all_82_1_53, all_82_1_53) = v0))
% 223.63/175.74 |
% 223.63/175.74 | Instantiating formula (23) with all_82_1_53, all_82_1_53, all_82_1_53, zero, one and discharging atoms multiplication(one, all_82_1_53) = all_82_1_53, addition(all_82_1_53, zero) = all_82_1_53, yields:
% 223.63/175.74 | (3646) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(one) = v0 & leq(all_82_1_53, v1) = 0 & multiplication(v0, zero) = v1) | ( ~ (v0 = 0) & leq(all_82_1_53, all_82_1_53) = v0))
% 223.63/175.74 |
% 223.63/175.74 | Instantiating formula (12) with all_150_1_157, all_0_1_1, zero, all_0_1_1, all_0_2_2 and discharging atoms multiplication(all_0_2_2, all_0_1_1) = all_150_1_157, addition(all_0_1_1, zero) = all_0_1_1, yields:
% 223.63/175.74 | (3647) ? [v0] : ? [v1] : (multiplication(all_0_2_2, all_0_1_1) = v0 & multiplication(all_0_2_2, zero) = v1 & addition(v0, v1) = all_150_1_157)
% 223.63/175.74 |
% 223.63/175.74 | Instantiating formula (38) with all_0_1_1, all_0_1_1, zero and discharging atoms addition(all_0_1_1, zero) = all_0_1_1, yields:
% 223.63/175.74 | (3648) addition(zero, all_0_1_1) = all_0_1_1
% 223.63/175.74 |
% 223.63/175.74 | Instantiating formula (23) with all_26_0_19, all_0_2_2, all_0_2_2, all_519_0_492, one and discharging atoms multiplication(one, all_0_2_2) = all_0_2_2, addition(all_0_2_2, all_519_0_492) = all_26_0_19, yields:
% 223.63/175.74 | (3649) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(one) = v0 & leq(all_0_2_2, v1) = 0 & multiplication(v0, all_519_0_492) = v1) | ( ~ (v0 = 0) & leq(all_0_2_2, all_26_0_19) = v0))
% 223.63/175.74 |
% 223.63/175.74 | Instantiating formula (9) with all_26_0_19, all_0_2_2, all_0_2_2, zero, all_519_0_492 and discharging atoms addition(all_0_2_2, all_519_0_492) = all_26_0_19, addition(all_0_2_2, zero) = all_0_2_2, yields:
% 223.63/175.74 | (3650) ? [v0] : (addition(all_0_2_2, v0) = all_26_0_19 & addition(zero, all_519_0_492) = v0)
% 223.63/175.74 |
% 223.63/175.74 | Instantiating formula (23) with all_82_1_53, all_0_2_2, all_0_2_2, all_82_1_53, one and discharging atoms multiplication(one, all_0_2_2) = all_0_2_2, addition(all_0_2_2, all_82_1_53) = all_82_1_53, yields:
% 223.63/175.74 | (3651) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(one) = v0 & leq(all_0_2_2, v1) = 0 & multiplication(v0, all_82_1_53) = v1) | ( ~ (v0 = 0) & leq(all_0_2_2, all_82_1_53) = v0))
% 223.63/175.74 |
% 223.63/175.74 | Instantiating formula (23) with all_26_0_19, all_0_2_2, all_0_2_2, all_26_0_19, one and discharging atoms multiplication(one, all_0_2_2) = all_0_2_2, addition(all_0_2_2, all_26_0_19) = all_26_0_19, yields:
% 223.63/175.74 | (3652) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(one) = v0 & leq(all_0_2_2, v1) = 0 & multiplication(v0, all_26_0_19) = v1) | ( ~ (v0 = 0) & leq(all_0_2_2, all_26_0_19) = v0))
% 223.63/175.74 |
% 223.63/175.74 | Instantiating formula (16) with all_26_0_19, all_0_2_2 and discharging atoms addition(all_0_2_2, all_26_0_19) = all_26_0_19, yields:
% 223.63/175.74 | (3653) leq(all_0_2_2, all_26_0_19) = 0
% 223.63/175.74 |
% 223.63/175.74 | Instantiating formula (23) with all_82_1_53, one, one, all_82_1_53, one and discharging atoms multiplication(one, one) = one, addition(one, all_82_1_53) = all_82_1_53, yields:
% 223.63/175.74 | (3654) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(one) = v0 & leq(one, v1) = 0 & multiplication(v0, all_82_1_53) = v1) | ( ~ (v0 = 0) & leq(one, all_82_1_53) = v0))
% 223.63/175.74 |
% 223.63/175.74 | Instantiating formula (23) with all_44_0_29, one, one, all_44_0_29, one and discharging atoms multiplication(one, one) = one, addition(one, all_44_0_29) = all_44_0_29, yields:
% 223.63/175.74 | (3655) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(one) = v0 & leq(one, v1) = 0 & multiplication(v0, all_44_0_29) = v1) | ( ~ (v0 = 0) & leq(one, all_44_0_29) = v0))
% 223.63/175.74 |
% 223.63/175.74 | Instantiating formula (16) with all_44_0_29, one and discharging atoms addition(one, all_44_0_29) = all_44_0_29, yields:
% 223.63/175.74 | (3656) leq(one, all_44_0_29) = 0
% 223.63/175.74 |
% 223.63/175.74 | Instantiating formula (22) with all_108_2_96, one, all_108_2_96, zero, one and discharging atoms multiplication(one, all_108_2_96) = all_108_2_96, addition(one, zero) = one, yields:
% 223.63/175.74 | (3657) ? [v0] : ? [v1] : (multiplication(one, all_108_2_96) = v0 & multiplication(zero, all_108_2_96) = v1 & addition(v0, v1) = all_108_2_96)
% 223.63/175.74 |
% 223.63/175.74 | Instantiating formula (22) with all_0_1_1, one, all_0_1_1, zero, one and discharging atoms multiplication(one, all_0_1_1) = all_0_1_1, addition(one, zero) = one, yields:
% 223.63/175.74 | (3658) ? [v0] : ? [v1] : (multiplication(one, all_0_1_1) = v0 & multiplication(zero, all_0_1_1) = v1 & addition(v0, v1) = all_0_1_1)
% 223.63/175.74 |
% 223.63/175.74 | Instantiating formula (9) with all_44_0_29, one, one, zero, all_0_1_1 and discharging atoms addition(one, all_0_1_1) = all_44_0_29, addition(one, zero) = one, yields:
% 223.63/175.74 | (3659) ? [v0] : (addition(one, v0) = all_44_0_29 & addition(zero, all_0_1_1) = v0)
% 223.63/175.74 |
% 223.63/175.74 | Instantiating formula (23) with all_82_1_53, zero, zero, all_82_1_53, one and discharging atoms multiplication(one, zero) = zero, addition(zero, all_82_1_53) = all_82_1_53, yields:
% 223.63/175.74 | (3660) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(one) = v0 & leq(zero, v1) = 0 & multiplication(v0, all_82_1_53) = v1) | ( ~ (v0 = 0) & leq(zero, all_82_1_53) = v0))
% 223.63/175.74 |
% 223.63/175.74 | Instantiating formula (23) with all_44_0_29, zero, zero, all_44_0_29, one and discharging atoms multiplication(one, zero) = zero, addition(zero, all_44_0_29) = all_44_0_29, yields:
% 223.63/175.74 | (3661) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(one) = v0 & leq(zero, v1) = 0 & multiplication(v0, all_44_0_29) = v1) | ( ~ (v0 = 0) & leq(zero, all_44_0_29) = v0))
% 223.63/175.74 |
% 223.63/175.74 | Instantiating formula (14) with all_44_0_29, all_44_0_29, zero, all_0_1_1, one and discharging atoms addition(all_0_1_1, one) = all_44_0_29, addition(zero, all_44_0_29) = all_44_0_29, yields:
% 223.63/175.74 | (3662) ? [v0] : (addition(v0, one) = all_44_0_29 & addition(zero, all_0_1_1) = v0)
% 223.63/175.74 |
% 223.63/175.74 | Instantiating formula (16) with all_44_0_29, zero and discharging atoms addition(zero, all_44_0_29) = all_44_0_29, yields:
% 223.63/175.74 | (3663) leq(zero, all_44_0_29) = 0
% 223.63/175.74 |
% 223.63/175.74 | Instantiating formula (23) with all_26_0_19, zero, zero, all_26_0_19, one and discharging atoms multiplication(one, zero) = zero, addition(zero, all_26_0_19) = all_26_0_19, yields:
% 223.63/175.74 | (3664) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & strong_iteration(one) = v0 & leq(zero, v1) = 0 & multiplication(v0, all_26_0_19) = v1) | ( ~ (v0 = 0) & leq(zero, all_26_0_19) = v0))
% 223.63/175.74 |
% 223.63/175.74 | Instantiating formula (12) with all_528_1_500, all_26_0_19, all_26_0_19, zero, all_0_2_2 and discharging atoms multiplication(all_0_2_2, all_26_0_19) = all_528_1_500, addition(zero, all_26_0_19) = all_26_0_19, yields:
% 223.63/175.74 | (3665) ? [v0] : ? [v1] : (multiplication(all_0_2_2, all_26_0_19) = v1 & multiplication(all_0_2_2, zero) = v0 & addition(v0, v1) = all_528_1_500)
% 223.63/175.74 |
% 223.63/175.74 | Instantiating formula (14) with all_26_0_19, all_26_0_19, zero, all_0_1_1, all_0_2_2 and discharging atoms addition(all_0_1_1, all_0_2_2) = all_26_0_19, addition(zero, all_26_0_19) = all_26_0_19, yields:
% 223.63/175.74 | (3666) ? [v0] : (addition(v0, all_0_2_2) = all_26_0_19 & addition(zero, all_0_1_1) = v0)
% 223.63/175.74 |
% 223.63/175.74 | Instantiating formula (16) with all_26_0_19, zero and discharging atoms addition(zero, all_26_0_19) = all_26_0_19, yields:
% 223.63/175.74 | (3667) leq(zero, all_26_0_19) = 0
% 223.63/175.74 |
% 223.63/175.74 | Instantiating formula (33) with all_519_0_492, all_0_1_1, zero, all_0_1_1, zero, one and discharging atoms multiplication(one, all_0_1_1) = all_0_1_1, multiplication(one, zero) = zero, addition(zero, all_0_1_1) = all_519_0_492, yields:
% 223.63/175.74 | (3668) ? [v0] : (multiplication(one, v0) = all_519_0_492 & addition(zero, all_0_1_1) = v0)
% 223.63/175.74 |
% 223.63/175.74 | Instantiating formula (9) with all_519_0_492, zero, zero, zero, all_0_1_1 and discharging atoms addition(zero, all_0_1_1) = all_519_0_492, addition(zero, zero) = zero, yields:
% 223.63/175.74 | (3669) ? [v0] : (addition(zero, v0) = all_519_0_492 & addition(zero, all_0_1_1) = v0)
% 223.63/175.74 |
% 223.63/175.74 | Instantiating formula (14) with all_519_0_492, all_0_1_1, zero, all_0_1_1, zero and discharging atoms addition(all_0_1_1, zero) = all_0_1_1, addition(zero, all_0_1_1) = all_519_0_492, yields:
% 223.63/175.74 | (3670) ? [v0] : (addition(v0, zero) = all_519_0_492 & addition(zero, all_0_1_1) = v0)
% 223.63/175.74 |
% 223.63/175.74 | Instantiating formula (22) with all_1058_1_1124, all_0_2_2, all_108_2_96, all_0_2_2, zero and discharging atoms multiplication(all_0_2_2, all_108_2_96) = all_1058_1_1124, addition(zero, all_0_2_2) = all_0_2_2, yields:
% 223.63/175.74 | (3671) ? [v0] : ? [v1] : (multiplication(all_0_2_2, all_108_2_96) = v1 & multiplication(zero, all_108_2_96) = v0 & addition(v0, v1) = all_1058_1_1124)
% 223.63/175.74 |
% 223.63/175.74 | Instantiating formula (22) with all_150_1_157, all_0_2_2, all_0_1_1, all_0_2_2, zero and discharging atoms multiplication(all_0_2_2, all_0_1_1) = all_150_1_157, addition(zero, all_0_2_2) = all_0_2_2, yields:
% 223.63/175.74 | (3672) ? [v0] : ? [v1] : (multiplication(all_0_2_2, all_0_1_1) = v1 & multiplication(zero, all_0_1_1) = v0 & addition(v0, v1) = all_150_1_157)
% 223.63/175.74 |
% 223.63/175.74 | Instantiating formula (40) with all_0_2_2, zero, all_0_2_2, all_0_2_2, zero and discharging atoms multiplication(zero, all_0_2_2) = zero, addition(zero, all_0_2_2) = all_0_2_2, yields:
% 223.63/175.74 | (3673) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, all_0_2_2) = 0 & star(zero) = v0 & multiplication(v0, all_0_2_2) = v1) | ( ~ (v0 = 0) & leq(all_0_2_2, all_0_2_2) = v0))
% 223.63/175.74 |
% 223.63/175.74 | Instantiating formula (40) with one, zero, all_0_2_2, one, zero and discharging atoms multiplication(zero, all_0_2_2) = zero, addition(zero, one) = one, yields:
% 223.63/175.74 | (3674) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, all_0_2_2) = 0 & star(zero) = v0 & multiplication(v0, one) = v1) | ( ~ (v0 = 0) & leq(one, all_0_2_2) = v0))
% 223.63/175.74 |
% 223.63/175.74 | Instantiating formula (40) with one, zero, one, one, zero and discharging atoms multiplication(zero, one) = zero, addition(zero, one) = one, yields:
% 223.63/175.74 | (3675) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & leq(v1, one) = 0 & star(zero) = v0 & multiplication(v0, one) = v1) | ( ~ (v0 = 0) & leq(one, one) = v0))
% 223.63/175.74 |
% 223.63/175.74 | Instantiating (3652) with all_2025_0_13157, all_2025_1_13158, all_2025_2_13159 yields:
% 223.63/175.74 | (3676) (all_2025_0_13157 = 0 & strong_iteration(one) = all_2025_2_13159 & leq(all_0_2_2, all_2025_1_13158) = 0 & multiplication(all_2025_2_13159, all_26_0_19) = all_2025_1_13158) | ( ~ (all_2025_2_13159 = 0) & leq(all_0_2_2, all_26_0_19) = all_2025_2_13159)
% 223.63/175.74 |
% 223.63/175.74 | Instantiating (3647) with all_2033_0_13177, all_2033_1_13178 yields:
% 223.63/175.74 | (3677) multiplication(all_0_2_2, all_0_1_1) = all_2033_1_13178 & multiplication(all_0_2_2, zero) = all_2033_0_13177 & addition(all_2033_1_13178, all_2033_0_13177) = all_150_1_157
% 223.63/175.74 |
% 223.63/175.74 | Applying alpha-rule on (3677) yields:
% 223.63/175.74 | (3678) multiplication(all_0_2_2, all_0_1_1) = all_2033_1_13178
% 223.63/175.74 | (3679) multiplication(all_0_2_2, zero) = all_2033_0_13177
% 223.63/175.74 | (3680) addition(all_2033_1_13178, all_2033_0_13177) = all_150_1_157
% 223.63/175.74 |
% 223.63/175.74 | Instantiating (3641) with all_2044_0_13194, all_2044_1_13195, all_2044_2_13196 yields:
% 223.63/175.75 | (3681) (all_2044_0_13194 = 0 & strong_iteration(one) = all_2044_2_13196 & leq(all_82_1_53, all_2044_1_13195) = 0 & multiplication(all_2044_2_13196, all_82_1_53) = all_2044_1_13195) | ( ~ (all_2044_2_13196 = 0) & leq(all_82_1_53, all_82_1_53) = all_2044_2_13196)
% 223.63/175.75 |
% 223.63/175.75 | Instantiating (3675) with all_2045_0_13197, all_2045_1_13198, all_2045_2_13199 yields:
% 223.63/175.75 | (3682) (all_2045_0_13197 = 0 & leq(all_2045_1_13198, one) = 0 & star(zero) = all_2045_2_13199 & multiplication(all_2045_2_13199, one) = all_2045_1_13198) | ( ~ (all_2045_2_13199 = 0) & leq(one, one) = all_2045_2_13199)
% 223.63/175.75 |
% 223.63/175.75 | Instantiating (3673) with all_2055_0_13219, all_2055_1_13220, all_2055_2_13221 yields:
% 223.63/175.75 | (3683) (all_2055_0_13219 = 0 & leq(all_2055_1_13220, all_0_2_2) = 0 & star(zero) = all_2055_2_13221 & multiplication(all_2055_2_13221, all_0_2_2) = all_2055_1_13220) | ( ~ (all_2055_2_13221 = 0) & leq(all_0_2_2, all_0_2_2) = all_2055_2_13221)
% 223.63/175.75 |
% 223.63/175.75 | Instantiating (3674) with all_2063_0_13231, all_2063_1_13232, all_2063_2_13233 yields:
% 223.63/175.75 | (3684) (all_2063_0_13231 = 0 & leq(all_2063_1_13232, all_0_2_2) = 0 & star(zero) = all_2063_2_13233 & multiplication(all_2063_2_13233, one) = all_2063_1_13232) | ( ~ (all_2063_2_13233 = 0) & leq(one, all_0_2_2) = all_2063_2_13233)
% 223.63/175.75 |
% 223.63/175.75 | Instantiating (3662) with all_2064_0_13234 yields:
% 223.63/175.75 | (3685) addition(all_2064_0_13234, one) = all_44_0_29 & addition(zero, all_0_1_1) = all_2064_0_13234
% 223.63/175.75 |
% 223.63/175.75 | Applying alpha-rule on (3685) yields:
% 223.63/175.75 | (3686) addition(all_2064_0_13234, one) = all_44_0_29
% 223.63/175.75 | (3687) addition(zero, all_0_1_1) = all_2064_0_13234
% 223.63/175.75 |
% 223.63/175.75 | Instantiating (3668) with all_2072_0_13248 yields:
% 223.63/175.75 | (3688) multiplication(one, all_2072_0_13248) = all_519_0_492 & addition(zero, all_0_1_1) = all_2072_0_13248
% 223.63/175.75 |
% 223.63/175.75 | Applying alpha-rule on (3688) yields:
% 223.63/175.75 | (3689) multiplication(one, all_2072_0_13248) = all_519_0_492
% 223.63/175.75 | (3690) addition(zero, all_0_1_1) = all_2072_0_13248
% 223.63/175.75 |
% 223.63/175.75 | Instantiating (3616) with all_2094_0_13296, all_2094_1_13297 yields:
% 223.63/175.75 | (3691) star(zero) = all_2094_1_13297 & multiplication(all_391_2_373, zero) = all_2094_0_13296 & addition(all_2094_1_13297, all_2094_0_13296) = all_391_2_373
% 223.63/175.75 |
% 223.63/175.75 | Applying alpha-rule on (3691) yields:
% 223.63/175.75 | (3692) star(zero) = all_2094_1_13297
% 223.63/175.75 | (3693) multiplication(all_391_2_373, zero) = all_2094_0_13296
% 223.63/175.75 | (3694) addition(all_2094_1_13297, all_2094_0_13296) = all_391_2_373
% 223.63/175.75 |
% 223.63/175.75 | Instantiating (3640) with all_2102_0_13307, all_2102_1_13308, all_2102_2_13309 yields:
% 223.63/175.75 | (3695) (all_2102_0_13307 = 0 & leq(all_2102_1_13308, all_82_1_53) = 0 & star(zero) = all_2102_2_13309 & multiplication(all_82_1_53, all_2102_2_13309) = all_2102_1_13308) | ( ~ (all_2102_2_13309 = 0) & leq(all_82_1_53, all_82_1_53) = all_2102_2_13309)
% 223.63/175.75 |
% 223.63/175.75 | Instantiating (3624) with all_2120_0_13343, all_2120_1_13344 yields:
% 223.63/175.75 | (3696) multiplication(all_0_2_2, all_26_0_19) = all_2120_1_13344 & multiplication(all_0_2_2, zero) = all_2120_0_13343 & addition(all_2120_1_13344, all_2120_0_13343) = all_528_1_500
% 223.63/175.75 |
% 223.63/175.75 | Applying alpha-rule on (3696) yields:
% 223.63/175.75 | (3697) multiplication(all_0_2_2, all_26_0_19) = all_2120_1_13344
% 223.63/175.75 | (3698) multiplication(all_0_2_2, zero) = all_2120_0_13343
% 223.63/175.75 | (3699) addition(all_2120_1_13344, all_2120_0_13343) = all_528_1_500
% 223.63/175.75 |
% 223.63/175.75 | Instantiating (3623) with all_2124_0_13346, all_2124_1_13347 yields:
% 223.63/175.75 | (3700) multiplication(all_0_2_2, all_108_2_96) = all_2124_0_13346 & multiplication(one, all_108_2_96) = all_2124_1_13347 & addition(all_2124_1_13347, all_2124_0_13346) = all_1058_1_1124
% 223.63/175.75 |
% 223.63/175.75 | Applying alpha-rule on (3700) yields:
% 223.63/175.75 | (3701) multiplication(all_0_2_2, all_108_2_96) = all_2124_0_13346
% 223.63/175.75 | (3702) multiplication(one, all_108_2_96) = all_2124_1_13347
% 223.63/175.75 | (3703) addition(all_2124_1_13347, all_2124_0_13346) = all_1058_1_1124
% 223.63/175.75 |
% 223.63/175.75 | Instantiating (3671) with all_2129_0_13353, all_2129_1_13354 yields:
% 223.63/175.75 | (3704) multiplication(all_0_2_2, all_108_2_96) = all_2129_0_13353 & multiplication(zero, all_108_2_96) = all_2129_1_13354 & addition(all_2129_1_13354, all_2129_0_13353) = all_1058_1_1124
% 223.63/175.75 |
% 223.63/175.75 | Applying alpha-rule on (3704) yields:
% 223.63/175.75 | (3705) multiplication(all_0_2_2, all_108_2_96) = all_2129_0_13353
% 223.63/175.75 | (3706) multiplication(zero, all_108_2_96) = all_2129_1_13354
% 223.63/175.75 | (3707) addition(all_2129_1_13354, all_2129_0_13353) = all_1058_1_1124
% 223.63/175.75 |
% 223.63/175.75 | Instantiating (3622) with all_2131_0_13355, all_2131_1_13356 yields:
% 223.63/175.75 | (3708) multiplication(all_0_2_2, all_108_2_96) = all_2131_1_13356 & multiplication(zero, all_108_2_96) = all_2131_0_13355 & addition(all_2131_1_13356, all_2131_0_13355) = all_1058_1_1124
% 223.63/175.75 |
% 223.63/175.75 | Applying alpha-rule on (3708) yields:
% 223.63/175.75 | (3709) multiplication(all_0_2_2, all_108_2_96) = all_2131_1_13356
% 223.63/175.75 | (3710) multiplication(zero, all_108_2_96) = all_2131_0_13355
% 223.63/175.75 | (3711) addition(all_2131_1_13356, all_2131_0_13355) = all_1058_1_1124
% 223.63/175.75 |
% 223.63/175.75 | Instantiating (3620) with all_2133_0_13357, all_2133_1_13358 yields:
% 223.63/175.75 | (3712) multiplication(all_0_2_2, all_108_2_96) = all_2133_0_13357 & multiplication(all_0_2_2, all_108_2_96) = all_2133_1_13358 & addition(all_2133_1_13358, all_2133_0_13357) = all_1058_1_1124
% 223.63/175.75 |
% 223.63/175.75 | Applying alpha-rule on (3712) yields:
% 223.63/175.75 | (3713) multiplication(all_0_2_2, all_108_2_96) = all_2133_0_13357
% 223.63/175.75 | (3714) multiplication(all_0_2_2, all_108_2_96) = all_2133_1_13358
% 223.63/175.75 | (3715) addition(all_2133_1_13358, all_2133_0_13357) = all_1058_1_1124
% 223.63/175.75 |
% 223.63/175.75 | Instantiating (3619) with all_2135_0_13359 yields:
% 223.63/175.75 | (3716) multiplication(all_0_2_2, all_108_2_96) = all_2135_0_13359 & multiplication(one, all_2135_0_13359) = all_1058_1_1124
% 223.63/175.75 |
% 223.63/175.75 | Applying alpha-rule on (3716) yields:
% 223.63/175.75 | (3717) multiplication(all_0_2_2, all_108_2_96) = all_2135_0_13359
% 223.63/175.75 | (3718) multiplication(one, all_2135_0_13359) = all_1058_1_1124
% 223.63/175.75 |
% 223.63/175.75 | Instantiating (3621) with all_2137_0_13360, all_2137_1_13361 yields:
% 223.63/175.75 | (3719) multiplication(all_0_2_2, all_108_2_96) = all_2137_1_13361 & multiplication(one, all_108_2_96) = all_2137_0_13360 & addition(all_2137_1_13361, all_2137_0_13360) = all_1058_1_1124
% 223.63/175.75 |
% 223.63/175.75 | Applying alpha-rule on (3719) yields:
% 223.63/175.75 | (3720) multiplication(all_0_2_2, all_108_2_96) = all_2137_1_13361
% 223.63/175.75 | (3721) multiplication(one, all_108_2_96) = all_2137_0_13360
% 223.63/175.75 | (3722) addition(all_2137_1_13361, all_2137_0_13360) = all_1058_1_1124
% 223.63/175.75 |
% 223.63/175.75 | Instantiating (3666) with all_2141_0_13364 yields:
% 223.63/175.75 | (3723) addition(all_2141_0_13364, all_0_2_2) = all_26_0_19 & addition(zero, all_0_1_1) = all_2141_0_13364
% 223.63/175.75 |
% 223.63/175.75 | Applying alpha-rule on (3723) yields:
% 223.63/175.75 | (3724) addition(all_2141_0_13364, all_0_2_2) = all_26_0_19
% 223.63/175.75 | (3725) addition(zero, all_0_1_1) = all_2141_0_13364
% 223.63/175.75 |
% 223.63/175.76 | Instantiating (3618) with all_2171_0_13398 yields:
% 223.63/175.76 | (3726) multiplication(zero, all_108_2_96) = all_2171_0_13398 & addition(one, all_2171_0_13398) = all_108_2_96
% 223.63/175.76 |
% 223.63/175.76 | Applying alpha-rule on (3726) yields:
% 223.63/175.76 | (3727) multiplication(zero, all_108_2_96) = all_2171_0_13398
% 223.63/175.76 | (3728) addition(one, all_2171_0_13398) = all_108_2_96
% 223.63/175.76 |
% 223.63/175.76 | Instantiating (3670) with all_2187_0_13414 yields:
% 223.63/175.76 | (3729) addition(all_2187_0_13414, zero) = all_519_0_492 & addition(zero, all_0_1_1) = all_2187_0_13414
% 223.63/175.76 |
% 223.63/175.76 | Applying alpha-rule on (3729) yields:
% 223.63/175.76 | (3730) addition(all_2187_0_13414, zero) = all_519_0_492
% 223.63/175.76 | (3731) addition(zero, all_0_1_1) = all_2187_0_13414
% 223.63/175.76 |
% 223.63/175.76 | Instantiating (3669) with all_2189_0_13415 yields:
% 223.63/175.76 | (3732) addition(zero, all_2189_0_13415) = all_519_0_492 & addition(zero, all_0_1_1) = all_2189_0_13415
% 223.63/175.76 |
% 223.63/175.76 | Applying alpha-rule on (3732) yields:
% 223.63/175.76 | (3733) addition(zero, all_2189_0_13415) = all_519_0_492
% 223.63/175.76 | (3734) addition(zero, all_0_1_1) = all_2189_0_13415
% 223.63/175.76 |
% 223.63/175.76 | Instantiating (3665) with all_2193_0_13422, all_2193_1_13423 yields:
% 223.63/175.76 | (3735) multiplication(all_0_2_2, all_26_0_19) = all_2193_0_13422 & multiplication(all_0_2_2, zero) = all_2193_1_13423 & addition(all_2193_1_13423, all_2193_0_13422) = all_528_1_500
% 223.63/175.76 |
% 223.63/175.76 | Applying alpha-rule on (3735) yields:
% 223.63/175.76 | (3736) multiplication(all_0_2_2, all_26_0_19) = all_2193_0_13422
% 223.63/175.76 | (3737) multiplication(all_0_2_2, zero) = all_2193_1_13423
% 223.63/175.76 | (3738) addition(all_2193_1_13423, all_2193_0_13422) = all_528_1_500
% 223.63/175.76 |
% 223.63/175.76 | Instantiating (3655) with all_2196_0_13427, all_2196_1_13428, all_2196_2_13429 yields:
% 223.63/175.76 | (3739) (all_2196_0_13427 = 0 & strong_iteration(one) = all_2196_2_13429 & leq(one, all_2196_1_13428) = 0 & multiplication(all_2196_2_13429, all_44_0_29) = all_2196_1_13428) | ( ~ (all_2196_2_13429 = 0) & leq(one, all_44_0_29) = all_2196_2_13429)
% 223.63/175.76 |
% 223.63/175.76 | Instantiating (3664) with all_2199_0_13436, all_2199_1_13437, all_2199_2_13438 yields:
% 223.63/175.76 | (3740) (all_2199_0_13436 = 0 & strong_iteration(one) = all_2199_2_13438 & leq(zero, all_2199_1_13437) = 0 & multiplication(all_2199_2_13438, all_26_0_19) = all_2199_1_13437) | ( ~ (all_2199_2_13438 = 0) & leq(zero, all_26_0_19) = all_2199_2_13438)
% 223.63/175.76 |
% 223.63/175.76 | Instantiating (3645) with all_2219_0_13484, all_2219_1_13485, all_2219_2_13486 yields:
% 223.63/175.76 | (3741) (all_2219_0_13484 = 0 & leq(all_2219_1_13485, all_82_1_53) = 0 & star(zero) = all_2219_2_13486 & multiplication(zero, all_2219_2_13486) = all_2219_1_13485) | ( ~ (all_2219_2_13486 = 0) & leq(all_82_1_53, all_82_1_53) = all_2219_2_13486)
% 223.63/175.76 |
% 223.63/175.76 | Instantiating (3646) with all_2224_0_13495, all_2224_1_13496, all_2224_2_13497 yields:
% 223.63/175.76 | (3742) (all_2224_0_13495 = 0 & strong_iteration(one) = all_2224_2_13497 & leq(all_82_1_53, all_2224_1_13496) = 0 & multiplication(all_2224_2_13497, zero) = all_2224_1_13496) | ( ~ (all_2224_2_13497 = 0) & leq(all_82_1_53, all_82_1_53) = all_2224_2_13497)
% 223.63/175.76 |
% 223.63/175.76 | Instantiating (3660) with all_2230_0_13513, all_2230_1_13514, all_2230_2_13515 yields:
% 223.63/175.76 | (3743) (all_2230_0_13513 = 0 & strong_iteration(one) = all_2230_2_13515 & leq(zero, all_2230_1_13514) = 0 & multiplication(all_2230_2_13515, all_82_1_53) = all_2230_1_13514) | ( ~ (all_2230_2_13515 = 0) & leq(zero, all_82_1_53) = all_2230_2_13515)
% 223.63/175.76 |
% 223.63/175.76 | Instantiating (3659) with all_2233_0_13522 yields:
% 223.63/175.76 | (3744) addition(one, all_2233_0_13522) = all_44_0_29 & addition(zero, all_0_1_1) = all_2233_0_13522
% 223.63/175.76 |
% 223.63/175.76 | Applying alpha-rule on (3744) yields:
% 223.63/175.76 | (3745) addition(one, all_2233_0_13522) = all_44_0_29
% 223.63/175.76 | (3746) addition(zero, all_0_1_1) = all_2233_0_13522
% 223.63/175.76 |
% 223.63/175.76 | Instantiating (3658) with all_2235_0_13523, all_2235_1_13524 yields:
% 223.63/175.76 | (3747) multiplication(one, all_0_1_1) = all_2235_1_13524 & multiplication(zero, all_0_1_1) = all_2235_0_13523 & addition(all_2235_1_13524, all_2235_0_13523) = all_0_1_1
% 223.63/175.76 |
% 223.63/175.76 | Applying alpha-rule on (3747) yields:
% 223.63/175.76 | (3748) multiplication(one, all_0_1_1) = all_2235_1_13524
% 223.63/175.76 | (3749) multiplication(zero, all_0_1_1) = all_2235_0_13523
% 223.63/175.76 | (3750) addition(all_2235_1_13524, all_2235_0_13523) = all_0_1_1
% 223.63/175.76 |
% 223.63/175.76 | Instantiating (3657) with all_2241_0_13533, all_2241_1_13534 yields:
% 223.63/175.76 | (3751) multiplication(one, all_108_2_96) = all_2241_1_13534 & multiplication(zero, all_108_2_96) = all_2241_0_13533 & addition(all_2241_1_13534, all_2241_0_13533) = all_108_2_96
% 223.63/175.76 |
% 223.63/175.76 | Applying alpha-rule on (3751) yields:
% 223.63/175.76 | (3752) multiplication(one, all_108_2_96) = all_2241_1_13534
% 223.63/175.76 | (3753) multiplication(zero, all_108_2_96) = all_2241_0_13533
% 223.63/175.76 | (3754) addition(all_2241_1_13534, all_2241_0_13533) = all_108_2_96
% 223.63/175.76 |
% 223.63/175.76 | Instantiating (3651) with all_2280_0_13594, all_2280_1_13595, all_2280_2_13596 yields:
% 223.63/175.76 | (3755) (all_2280_0_13594 = 0 & strong_iteration(one) = all_2280_2_13596 & leq(all_0_2_2, all_2280_1_13595) = 0 & multiplication(all_2280_2_13596, all_82_1_53) = all_2280_1_13595) | ( ~ (all_2280_2_13596 = 0) & leq(all_0_2_2, all_82_1_53) = all_2280_2_13596)
% 223.63/175.76 |
% 223.63/175.76 | Instantiating (3638) with all_2294_0_13611, all_2294_1_13612, all_2294_2_13613 yields:
% 223.63/175.76 | (3756) (all_2294_0_13611 = 0 & leq(all_2294_1_13612, all_0_2_2) = 0 & star(zero) = all_2294_2_13613 & multiplication(all_2294_2_13613, zero) = all_2294_1_13612) | ( ~ (all_2294_2_13613 = 0) & leq(zero, all_0_2_2) = all_2294_2_13613)
% 223.63/175.76 |
% 223.63/175.76 | Instantiating (3654) with all_2298_0_13618, all_2298_1_13619, all_2298_2_13620 yields:
% 223.63/175.76 | (3757) (all_2298_0_13618 = 0 & strong_iteration(one) = all_2298_2_13620 & leq(one, all_2298_1_13619) = 0 & multiplication(all_2298_2_13620, all_82_1_53) = all_2298_1_13619) | ( ~ (all_2298_2_13620 = 0) & leq(one, all_82_1_53) = all_2298_2_13620)
% 223.63/175.76 |
% 223.63/175.76 | Instantiating (3635) with all_2300_0_13624 yields:
% 223.63/175.76 | (3758) multiplication(all_2300_0_13624, all_108_2_96) = all_0_2_2 & multiplication(all_0_2_2, zero) = all_2300_0_13624
% 223.63/175.76 |
% 223.63/175.76 | Applying alpha-rule on (3758) yields:
% 223.63/175.76 | (3759) multiplication(all_2300_0_13624, all_108_2_96) = all_0_2_2
% 223.63/175.76 | (3760) multiplication(all_0_2_2, zero) = all_2300_0_13624
% 223.63/175.76 |
% 223.63/175.76 | Instantiating (3643) with all_2316_0_13652, all_2316_1_13653, all_2316_2_13654 yields:
% 223.63/175.76 | (3761) (all_2316_0_13652 = 0 & leq(all_2316_1_13653, all_82_1_53) = 0 & star(zero) = all_2316_2_13654 & multiplication(all_0_2_2, all_2316_2_13654) = all_2316_1_13653) | ( ~ (all_2316_2_13654 = 0) & leq(all_82_1_53, all_82_1_53) = all_2316_2_13654)
% 223.63/175.76 |
% 223.63/175.76 | Instantiating (3634) with all_2341_0_13673, all_2341_1_13674 yields:
% 223.63/175.76 | (3762) multiplication(one, all_0_1_1) = all_2341_0_13673 & multiplication(one, all_0_1_1) = all_2341_1_13674 & addition(all_2341_1_13674, all_2341_0_13673) = all_0_1_1
% 223.63/175.76 |
% 223.63/175.76 | Applying alpha-rule on (3762) yields:
% 223.63/175.76 | (3763) multiplication(one, all_0_1_1) = all_2341_0_13673
% 223.63/175.76 | (3764) multiplication(one, all_0_1_1) = all_2341_1_13674
% 223.63/175.76 | (3765) addition(all_2341_1_13674, all_2341_0_13673) = all_0_1_1
% 223.63/175.76 |
% 223.63/175.76 | Instantiating (3632) with all_2355_0_13687 yields:
% 223.63/175.76 | (3766) multiplication(all_0_2_2, all_2355_0_13687) = all_528_1_500 & multiplication(zero, all_26_0_19) = all_2355_0_13687
% 223.63/175.76 |
% 223.63/175.76 | Applying alpha-rule on (3766) yields:
% 223.63/175.77 | (3767) multiplication(all_0_2_2, all_2355_0_13687) = all_528_1_500
% 223.63/175.77 | (3768) multiplication(zero, all_26_0_19) = all_2355_0_13687
% 223.63/175.77 |
% 223.63/175.77 | Instantiating (3631) with all_2358_0_13691 yields:
% 223.63/175.77 | (3769) multiplication(all_0_2_2, all_2358_0_13691) = all_1058_1_1124 & multiplication(zero, all_108_2_96) = all_2358_0_13691
% 223.63/175.77 |
% 223.63/175.77 | Applying alpha-rule on (3769) yields:
% 223.63/175.77 | (3770) multiplication(all_0_2_2, all_2358_0_13691) = all_1058_1_1124
% 223.63/175.77 | (3771) multiplication(zero, all_108_2_96) = all_2358_0_13691
% 223.63/175.77 |
% 223.63/175.77 | Instantiating (3633) with all_2360_0_13692 yields:
% 223.63/175.77 | (3772) multiplication(all_0_2_2, all_2360_0_13692) = all_150_1_157 & multiplication(zero, all_0_1_1) = all_2360_0_13692
% 223.63/175.77 |
% 223.63/175.77 | Applying alpha-rule on (3772) yields:
% 223.63/175.77 | (3773) multiplication(all_0_2_2, all_2360_0_13692) = all_150_1_157
% 223.63/175.77 | (3774) multiplication(zero, all_0_1_1) = all_2360_0_13692
% 223.63/175.77 |
% 223.63/175.77 | Instantiating (3629) with all_2368_0_13698, all_2368_1_13699 yields:
% 223.63/175.77 | (3775) multiplication(all_0_2_2, all_0_1_1) = all_2368_1_13699 & multiplication(zero, all_0_1_1) = all_2368_0_13698 & addition(all_2368_1_13699, all_2368_0_13698) = all_150_1_157
% 223.63/175.77 |
% 223.63/175.77 | Applying alpha-rule on (3775) yields:
% 223.63/175.77 | (3776) multiplication(all_0_2_2, all_0_1_1) = all_2368_1_13699
% 223.63/175.77 | (3777) multiplication(zero, all_0_1_1) = all_2368_0_13698
% 223.63/175.77 | (3778) addition(all_2368_1_13699, all_2368_0_13698) = all_150_1_157
% 223.63/175.77 |
% 223.63/175.77 | Instantiating (3628) with all_2370_0_13700, all_2370_1_13701 yields:
% 223.63/175.77 | (3779) multiplication(all_0_2_2, all_0_1_1) = all_2370_1_13701 & multiplication(one, all_0_1_1) = all_2370_0_13700 & addition(all_2370_1_13701, all_2370_0_13700) = all_150_1_157
% 223.63/175.77 |
% 223.63/175.77 | Applying alpha-rule on (3779) yields:
% 223.63/175.77 | (3780) multiplication(all_0_2_2, all_0_1_1) = all_2370_1_13701
% 223.63/175.77 | (3781) multiplication(one, all_0_1_1) = all_2370_0_13700
% 223.63/175.77 | (3782) addition(all_2370_1_13701, all_2370_0_13700) = all_150_1_157
% 223.63/175.77 |
% 223.63/175.77 | Instantiating (3627) with all_2372_0_13702, all_2372_1_13703 yields:
% 223.63/175.77 | (3783) multiplication(all_0_2_2, all_0_1_1) = all_2372_0_13702 & multiplication(all_0_2_2, all_0_1_1) = all_2372_1_13703 & addition(all_2372_1_13703, all_2372_0_13702) = all_150_1_157
% 223.63/175.77 |
% 223.63/175.77 | Applying alpha-rule on (3783) yields:
% 223.63/175.77 | (3784) multiplication(all_0_2_2, all_0_1_1) = all_2372_0_13702
% 223.63/175.77 | (3785) multiplication(all_0_2_2, all_0_1_1) = all_2372_1_13703
% 223.63/175.77 | (3786) addition(all_2372_1_13703, all_2372_0_13702) = all_150_1_157
% 223.63/175.77 |
% 223.63/175.77 | Instantiating (3626) with all_2374_0_13704 yields:
% 223.63/175.77 | (3787) multiplication(all_0_2_2, all_0_1_1) = all_2374_0_13704 & multiplication(one, all_2374_0_13704) = all_150_1_157
% 223.63/175.77 |
% 223.63/175.77 | Applying alpha-rule on (3787) yields:
% 223.63/175.77 | (3788) multiplication(all_0_2_2, all_0_1_1) = all_2374_0_13704
% 223.63/175.77 | (3789) multiplication(one, all_2374_0_13704) = all_150_1_157
% 223.63/175.77 |
% 223.63/175.77 | Instantiating (3625) with all_2386_0_13712, all_2386_1_13713 yields:
% 223.63/175.77 | (3790) multiplication(all_0_2_2, all_0_1_1) = all_2386_0_13712 & multiplication(all_0_2_2, all_0_2_2) = all_2386_1_13713 & addition(all_2386_1_13713, all_2386_0_13712) = all_528_1_500
% 223.63/175.77 |
% 223.63/175.77 | Applying alpha-rule on (3790) yields:
% 223.63/175.77 | (3791) multiplication(all_0_2_2, all_0_1_1) = all_2386_0_13712
% 223.63/175.77 | (3792) multiplication(all_0_2_2, all_0_2_2) = all_2386_1_13713
% 223.94/175.77 | (3793) addition(all_2386_1_13713, all_2386_0_13712) = all_528_1_500
% 223.94/175.77 |
% 223.94/175.77 | Instantiating (3637) with all_2396_0_13720 yields:
% 223.94/175.77 | (3794) multiplication(all_0_2_2, all_108_2_96) = all_2396_0_13720 & multiplication(zero, all_2396_0_13720) = zero
% 223.94/175.77 |
% 223.94/175.77 | Applying alpha-rule on (3794) yields:
% 223.94/175.77 | (3795) multiplication(all_0_2_2, all_108_2_96) = all_2396_0_13720
% 223.94/175.77 | (3796) multiplication(zero, all_2396_0_13720) = zero
% 223.94/175.77 |
% 223.94/175.77 | Instantiating (3650) with all_2400_0_13722 yields:
% 223.94/175.77 | (3797) addition(all_0_2_2, all_2400_0_13722) = all_26_0_19 & addition(zero, all_519_0_492) = all_2400_0_13722
% 223.94/175.77 |
% 223.94/175.77 | Applying alpha-rule on (3797) yields:
% 223.94/175.77 | (3798) addition(all_0_2_2, all_2400_0_13722) = all_26_0_19
% 223.94/175.77 | (3799) addition(zero, all_519_0_492) = all_2400_0_13722
% 223.94/175.77 |
% 223.94/175.77 | Instantiating (3672) with all_2404_0_13724, all_2404_1_13725 yields:
% 223.94/175.77 | (3800) multiplication(all_0_2_2, all_0_1_1) = all_2404_0_13724 & multiplication(zero, all_0_1_1) = all_2404_1_13725 & addition(all_2404_1_13725, all_2404_0_13724) = all_150_1_157
% 223.94/175.77 |
% 223.94/175.77 | Applying alpha-rule on (3800) yields:
% 223.94/175.77 | (3801) multiplication(all_0_2_2, all_0_1_1) = all_2404_0_13724
% 223.94/175.77 | (3802) multiplication(zero, all_0_1_1) = all_2404_1_13725
% 223.94/175.77 | (3803) addition(all_2404_1_13725, all_2404_0_13724) = all_150_1_157
% 223.94/175.77 |
% 223.94/175.77 | Instantiating (3636) with all_2408_0_13727 yields:
% 223.94/175.77 | (3804) multiplication(all_2408_0_13727, all_0_2_2) = all_0_2_2 & multiplication(all_0_2_2, zero) = all_2408_0_13727
% 223.94/175.77 |
% 223.94/175.77 | Applying alpha-rule on (3804) yields:
% 223.94/175.77 | (3805) multiplication(all_2408_0_13727, all_0_2_2) = all_0_2_2
% 223.94/175.77 | (3806) multiplication(all_0_2_2, zero) = all_2408_0_13727
% 223.94/175.77 |
% 223.94/175.77 | Instantiating (3639) with all_2416_0_13742, all_2416_1_13743, all_2416_2_13744 yields:
% 223.94/175.77 | (3807) (all_2416_0_13742 = 0 & leq(all_2416_1_13743, one) = 0 & star(zero) = all_2416_2_13744 & multiplication(all_2416_2_13744, zero) = all_2416_1_13743) | ( ~ (all_2416_2_13744 = 0) & leq(zero, one) = all_2416_2_13744)
% 223.94/175.77 |
% 223.94/175.77 | Instantiating (3661) with all_2422_0_13760, all_2422_1_13761, all_2422_2_13762 yields:
% 223.94/175.77 | (3808) (all_2422_0_13760 = 0 & strong_iteration(one) = all_2422_2_13762 & leq(zero, all_2422_1_13761) = 0 & multiplication(all_2422_2_13762, all_44_0_29) = all_2422_1_13761) | ( ~ (all_2422_2_13762 = 0) & leq(zero, all_44_0_29) = all_2422_2_13762)
% 223.94/175.77 |
% 223.94/175.77 | Instantiating (3649) with all_2450_0_13815, all_2450_1_13816, all_2450_2_13817 yields:
% 223.94/175.77 | (3809) (all_2450_0_13815 = 0 & strong_iteration(one) = all_2450_2_13817 & leq(all_0_2_2, all_2450_1_13816) = 0 & multiplication(all_2450_2_13817, all_519_0_492) = all_2450_1_13816) | ( ~ (all_2450_2_13817 = 0) & leq(all_0_2_2, all_26_0_19) = all_2450_2_13817)
% 223.94/175.78 |
% 223.94/175.78 | Instantiating (3644) with all_2459_0_13838, all_2459_1_13839, all_2459_2_13840 yields:
% 223.94/175.78 | (3810) (all_2459_0_13838 = 0 & strong_iteration(one) = all_2459_2_13840 & leq(all_82_1_53, all_2459_1_13839) = 0 & multiplication(all_2459_2_13840, all_0_2_2) = all_2459_1_13839) | ( ~ (all_2459_2_13840 = 0) & leq(all_82_1_53, all_82_1_53) = all_2459_2_13840)
% 223.94/175.78 |
% 223.94/175.78 +-Applying beta-rule and splitting (1479), into two cases.
% 223.94/175.78 |-Branch one:
% 223.94/175.78 | (3811) all_942_0_1001 = 0 & strong_iteration(one) = all_942_2_1003 & leq(all_20_1_18, all_942_1_1002) = 0 & multiplication(all_942_2_1003, all_0_1_1) = all_942_1_1002
% 223.94/175.78 |
% 223.94/175.78 | Applying alpha-rule on (3811) yields:
% 223.94/175.78 | (3812) all_942_0_1001 = 0
% 223.94/175.78 | (3813) strong_iteration(one) = all_942_2_1003
% 223.94/175.78 | (3814) leq(all_20_1_18, all_942_1_1002) = 0
% 223.94/175.78 | (3815) multiplication(all_942_2_1003, all_0_1_1) = all_942_1_1002
% 223.94/175.78 |
% 223.94/175.78 +-Applying beta-rule and splitting (1233), into two cases.
% 223.94/175.78 |-Branch one:
% 223.94/175.78 | (3816) all_651_0_646 = 0 & strong_iteration(one) = all_651_2_648 & leq(one, all_651_1_647) = 0 & multiplication(all_651_2_648, all_0_1_1) = all_651_1_647
% 223.94/175.78 |
% 223.94/175.78 | Applying alpha-rule on (3816) yields:
% 223.94/175.78 | (3817) all_651_0_646 = 0
% 223.94/175.78 | (3818) strong_iteration(one) = all_651_2_648
% 223.94/175.78 | (3819) leq(one, all_651_1_647) = 0
% 223.94/175.78 | (3820) multiplication(all_651_2_648, all_0_1_1) = all_651_1_647
% 223.94/175.78 |
% 223.94/175.78 +-Applying beta-rule and splitting (1112), into two cases.
% 223.94/175.78 |-Branch one:
% 223.94/175.78 | (3821) all_500_0_480 = 0 & strong_iteration(one) = all_500_2_482 & leq(all_0_2_2, all_500_1_481) = 0 & multiplication(all_500_2_482, all_147_0_152) = all_500_1_481
% 223.94/175.78 |
% 223.94/175.78 | Applying alpha-rule on (3821) yields:
% 223.94/175.78 | (3822) all_500_0_480 = 0
% 223.94/175.78 | (3823) strong_iteration(one) = all_500_2_482
% 223.94/175.78 | (3824) leq(all_0_2_2, all_500_1_481) = 0
% 223.94/175.78 | (3825) multiplication(all_500_2_482, all_147_0_152) = all_500_1_481
% 223.94/175.78 |
% 223.94/175.78 +-Applying beta-rule and splitting (3761), into two cases.
% 223.94/175.78 |-Branch one:
% 223.94/175.78 | (3826) all_2316_0_13652 = 0 & leq(all_2316_1_13653, all_82_1_53) = 0 & star(zero) = all_2316_2_13654 & multiplication(all_0_2_2, all_2316_2_13654) = all_2316_1_13653
% 223.94/175.78 |
% 223.94/175.78 | Applying alpha-rule on (3826) yields:
% 223.94/175.78 | (3827) all_2316_0_13652 = 0
% 223.94/175.78 | (3828) leq(all_2316_1_13653, all_82_1_53) = 0
% 223.94/175.78 | (3829) star(zero) = all_2316_2_13654
% 223.94/175.78 | (3830) multiplication(all_0_2_2, all_2316_2_13654) = all_2316_1_13653
% 223.94/175.78 |
% 223.94/175.78 +-Applying beta-rule and splitting (1610), into two cases.
% 223.94/175.78 |-Branch one:
% 223.94/175.78 | (3831) all_1174_0_1285 = 0 & strong_iteration(one) = all_1174_2_1287 & leq(all_20_0_17, all_1174_1_1286) = 0 & multiplication(all_1174_2_1287, all_0_1_1) = all_1174_1_1286
% 223.94/175.78 |
% 223.94/175.78 | Applying alpha-rule on (3831) yields:
% 223.94/175.78 | (3832) all_1174_0_1285 = 0
% 223.94/175.78 | (3833) strong_iteration(one) = all_1174_2_1287
% 223.94/175.78 | (3834) leq(all_20_0_17, all_1174_1_1286) = 0
% 223.94/175.78 | (3835) multiplication(all_1174_2_1287, all_0_1_1) = all_1174_1_1286
% 223.94/175.78 |
% 223.94/175.78 +-Applying beta-rule and splitting (1220), into two cases.
% 223.94/175.78 |-Branch one:
% 223.94/175.78 | (3836) all_632_0_624 = 0 & strong_iteration(one) = all_632_2_626 & leq(all_20_0_17, all_632_1_625) = 0 & multiplication(all_632_2_626, all_44_0_29) = all_632_1_625
% 223.94/175.78 |
% 223.94/175.78 | Applying alpha-rule on (3836) yields:
% 223.94/175.78 | (3837) all_632_0_624 = 0
% 223.94/175.78 | (3838) strong_iteration(one) = all_632_2_626
% 223.94/175.78 | (3839) leq(all_20_0_17, all_632_1_625) = 0
% 223.94/175.78 | (3840) multiplication(all_632_2_626, all_44_0_29) = all_632_1_625
% 223.94/175.78 |
% 223.94/175.78 +-Applying beta-rule and splitting (1366), into two cases.
% 223.94/175.78 |-Branch one:
% 223.94/175.78 | (3841) all_823_0_868 = 0 & strong_iteration(one) = all_823_2_870 & leq(all_38_0_20, all_823_1_869) = 0 & multiplication(all_823_2_870, all_0_1_1) = all_823_1_869
% 223.94/175.78 |
% 223.94/175.78 | Applying alpha-rule on (3841) yields:
% 223.94/175.78 | (3842) all_823_0_868 = 0
% 223.94/175.78 | (3843) strong_iteration(one) = all_823_2_870
% 223.94/175.78 | (3844) leq(all_38_0_20, all_823_1_869) = 0
% 223.94/175.78 | (3845) multiplication(all_823_2_870, all_0_1_1) = all_823_1_869
% 223.94/175.78 |
% 223.94/175.78 +-Applying beta-rule and splitting (3676), into two cases.
% 223.94/175.78 |-Branch one:
% 223.94/175.78 | (3846) all_2025_0_13157 = 0 & strong_iteration(one) = all_2025_2_13159 & leq(all_0_2_2, all_2025_1_13158) = 0 & multiplication(all_2025_2_13159, all_26_0_19) = all_2025_1_13158
% 223.94/175.78 |
% 223.94/175.78 | Applying alpha-rule on (3846) yields:
% 223.94/175.78 | (3847) all_2025_0_13157 = 0
% 223.94/175.78 | (3848) strong_iteration(one) = all_2025_2_13159
% 223.94/175.78 | (3849) leq(all_0_2_2, all_2025_1_13158) = 0
% 223.94/175.78 | (3850) multiplication(all_2025_2_13159, all_26_0_19) = all_2025_1_13158
% 223.94/175.78 |
% 223.94/175.78 +-Applying beta-rule and splitting (3617), into two cases.
% 223.94/175.78 |-Branch one:
% 223.94/175.78 | (3851) all_1965_0_1920 = 0
% 223.94/175.78 |
% 223.94/175.78 | Equations (3851) can reduce 3606 to:
% 223.94/175.78 | (56) $false
% 223.94/175.78 |
% 223.94/175.78 |-The branch is then unsatisfiable
% 223.94/175.78 |-Branch two:
% 223.94/175.78 | (3606) ~ (all_1965_0_1920 = 0)
% 223.94/175.78 | (3854) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = 0) & leq(v1, all_0_1_1) = v2 & multiplication(one, all_0_1_1) = v0 & addition(v0, all_0_2_2) = v1)
% 223.94/175.78 |
% 223.94/175.78 | Instantiating (3854) with all_2508_0_13846, all_2508_1_13847, all_2508_2_13848 yields:
% 223.94/175.78 | (3855) ~ (all_2508_0_13846 = 0) & leq(all_2508_1_13847, all_0_1_1) = all_2508_0_13846 & multiplication(one, all_0_1_1) = all_2508_2_13848 & addition(all_2508_2_13848, all_0_2_2) = all_2508_1_13847
% 223.94/175.78 |
% 223.94/175.78 | Applying alpha-rule on (3855) yields:
% 223.94/175.78 | (3856) ~ (all_2508_0_13846 = 0)
% 223.94/175.78 | (3857) leq(all_2508_1_13847, all_0_1_1) = all_2508_0_13846
% 223.94/175.78 | (3858) multiplication(one, all_0_1_1) = all_2508_2_13848
% 223.94/175.78 | (3859) addition(all_2508_2_13848, all_0_2_2) = all_2508_1_13847
% 223.94/175.78 |
% 223.94/175.78 +-Applying beta-rule and splitting (3756), into two cases.
% 223.94/175.78 |-Branch one:
% 223.94/175.78 | (3860) all_2294_0_13611 = 0 & leq(all_2294_1_13612, all_0_2_2) = 0 & star(zero) = all_2294_2_13613 & multiplication(all_2294_2_13613, zero) = all_2294_1_13612
% 223.94/175.78 |
% 223.94/175.78 | Applying alpha-rule on (3860) yields:
% 223.94/175.78 | (3861) all_2294_0_13611 = 0
% 223.94/175.78 | (3862) leq(all_2294_1_13612, all_0_2_2) = 0
% 223.94/175.79 | (3863) star(zero) = all_2294_2_13613
% 223.94/175.79 | (3864) multiplication(all_2294_2_13613, zero) = all_2294_1_13612
% 223.94/175.79 |
% 223.94/175.79 +-Applying beta-rule and splitting (1620), into two cases.
% 223.94/175.79 |-Branch one:
% 223.94/175.79 | (3865) all_1185_0_1300 = 0 & strong_iteration(all_20_1_18) = all_1185_2_1302 & leq(one, all_1185_1_1301) = 0 & multiplication(all_1185_2_1302, all_0_1_1) = all_1185_1_1301
% 223.94/175.79 |
% 223.94/175.79 | Applying alpha-rule on (3865) yields:
% 223.94/175.79 | (3866) all_1185_0_1300 = 0
% 223.94/175.79 | (3867) strong_iteration(all_20_1_18) = all_1185_2_1302
% 223.94/175.79 | (3868) leq(one, all_1185_1_1301) = 0
% 223.94/175.79 | (3869) multiplication(all_1185_2_1302, all_0_1_1) = all_1185_1_1301
% 223.94/175.79 |
% 223.94/175.79 | From (1658) and (3867) follows:
% 223.94/175.79 | (3870) strong_iteration(one) = all_1185_2_1302
% 223.94/175.79 |
% 223.94/175.79 +-Applying beta-rule and splitting (3808), into two cases.
% 223.94/175.79 |-Branch one:
% 223.94/175.79 | (3871) all_2422_0_13760 = 0 & strong_iteration(one) = all_2422_2_13762 & leq(zero, all_2422_1_13761) = 0 & multiplication(all_2422_2_13762, all_44_0_29) = all_2422_1_13761
% 223.94/175.79 |
% 223.94/175.79 | Applying alpha-rule on (3871) yields:
% 223.94/175.79 | (3872) all_2422_0_13760 = 0
% 223.94/175.79 | (3873) strong_iteration(one) = all_2422_2_13762
% 223.94/175.79 | (3874) leq(zero, all_2422_1_13761) = 0
% 223.94/175.79 | (3875) multiplication(all_2422_2_13762, all_44_0_29) = all_2422_1_13761
% 223.94/175.79 |
% 223.94/175.79 +-Applying beta-rule and splitting (3741), into two cases.
% 223.94/175.79 |-Branch one:
% 223.94/175.79 | (3876) all_2219_0_13484 = 0 & leq(all_2219_1_13485, all_82_1_53) = 0 & star(zero) = all_2219_2_13486 & multiplication(zero, all_2219_2_13486) = all_2219_1_13485
% 223.94/175.79 |
% 223.94/175.79 | Applying alpha-rule on (3876) yields:
% 223.94/175.79 | (3877) all_2219_0_13484 = 0
% 223.94/175.79 | (3878) leq(all_2219_1_13485, all_82_1_53) = 0
% 223.94/175.79 | (3879) star(zero) = all_2219_2_13486
% 223.94/175.79 | (3880) multiplication(zero, all_2219_2_13486) = all_2219_1_13485
% 223.94/175.79 |
% 223.94/175.79 +-Applying beta-rule and splitting (1501), into two cases.
% 223.94/175.79 |-Branch one:
% 223.94/175.79 | (3881) all_998_0_1071 = 0 & strong_iteration(one) = all_998_2_1073 & leq(all_0_2_2, all_998_1_1072) = 0 & multiplication(all_998_2_1073, all_162_0_173) = all_998_1_1072
% 223.94/175.79 |
% 223.94/175.79 | Applying alpha-rule on (3881) yields:
% 223.94/175.79 | (3882) all_998_0_1071 = 0
% 223.94/175.79 | (3883) strong_iteration(one) = all_998_2_1073
% 223.94/175.79 | (3884) leq(all_0_2_2, all_998_1_1072) = 0
% 223.94/175.79 | (3885) multiplication(all_998_2_1073, all_162_0_173) = all_998_1_1072
% 223.94/175.79 |
% 223.94/175.79 +-Applying beta-rule and splitting (3739), into two cases.
% 223.94/175.79 |-Branch one:
% 223.94/175.79 | (3886) all_2196_0_13427 = 0 & strong_iteration(one) = all_2196_2_13429 & leq(one, all_2196_1_13428) = 0 & multiplication(all_2196_2_13429, all_44_0_29) = all_2196_1_13428
% 223.94/175.79 |
% 223.94/175.79 | Applying alpha-rule on (3886) yields:
% 223.94/175.79 | (3887) all_2196_0_13427 = 0
% 223.94/175.79 | (3888) strong_iteration(one) = all_2196_2_13429
% 223.94/175.79 | (3889) leq(one, all_2196_1_13428) = 0
% 223.94/175.79 | (3890) multiplication(all_2196_2_13429, all_44_0_29) = all_2196_1_13428
% 223.94/175.79 |
% 223.94/175.79 +-Applying beta-rule and splitting (3681), into two cases.
% 223.94/175.79 |-Branch one:
% 223.94/175.79 | (3891) all_2044_0_13194 = 0 & strong_iteration(one) = all_2044_2_13196 & leq(all_82_1_53, all_2044_1_13195) = 0 & multiplication(all_2044_2_13196, all_82_1_53) = all_2044_1_13195
% 223.94/175.79 |
% 223.94/175.79 | Applying alpha-rule on (3891) yields:
% 223.94/175.79 | (3892) all_2044_0_13194 = 0
% 223.94/175.79 | (3893) strong_iteration(one) = all_2044_2_13196
% 223.94/175.79 | (3894) leq(all_82_1_53, all_2044_1_13195) = 0
% 223.94/175.79 | (3895) multiplication(all_2044_2_13196, all_82_1_53) = all_2044_1_13195
% 223.94/175.79 |
% 223.94/175.79 +-Applying beta-rule and splitting (3683), into two cases.
% 223.94/175.79 |-Branch one:
% 223.94/175.79 | (3896) all_2055_0_13219 = 0 & leq(all_2055_1_13220, all_0_2_2) = 0 & star(zero) = all_2055_2_13221 & multiplication(all_2055_2_13221, all_0_2_2) = all_2055_1_13220
% 223.94/175.79 |
% 223.94/175.79 | Applying alpha-rule on (3896) yields:
% 223.94/175.79 | (3897) all_2055_0_13219 = 0
% 223.94/175.79 | (3898) leq(all_2055_1_13220, all_0_2_2) = 0
% 223.94/175.79 | (3899) star(zero) = all_2055_2_13221
% 223.94/175.79 | (3900) multiplication(all_2055_2_13221, all_0_2_2) = all_2055_1_13220
% 223.94/175.79 |
% 223.94/175.79 +-Applying beta-rule and splitting (3684), into two cases.
% 223.94/175.79 |-Branch one:
% 223.94/175.79 | (3901) all_2063_0_13231 = 0 & leq(all_2063_1_13232, all_0_2_2) = 0 & star(zero) = all_2063_2_13233 & multiplication(all_2063_2_13233, one) = all_2063_1_13232
% 223.94/175.79 |
% 223.94/175.79 | Applying alpha-rule on (3901) yields:
% 223.94/175.79 | (3902) all_2063_0_13231 = 0
% 223.94/175.79 | (3903) leq(all_2063_1_13232, all_0_2_2) = 0
% 223.94/175.79 | (3904) star(zero) = all_2063_2_13233
% 223.94/175.79 | (3905) multiplication(all_2063_2_13233, one) = all_2063_1_13232
% 223.94/175.79 |
% 223.94/175.79 +-Applying beta-rule and splitting (3630), into two cases.
% 223.94/175.79 |-Branch one:
% 223.94/175.79 | (55) all_0_0_0 = 0
% 223.94/175.79 |
% 223.94/175.79 | Equations (55) can reduce 44 to:
% 223.94/175.79 | (56) $false
% 223.94/175.79 |
% 223.94/175.79 |-The branch is then unsatisfiable
% 223.94/175.79 |-Branch two:
% 223.94/175.79 | (44) ~ (all_0_0_0 = 0)
% 223.94/175.79 | (3909) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = 0) & leq(all_0_1_1, v1) = v2 & multiplication(one, all_0_1_1) = v0 & addition(v0, zero) = v1)
% 223.94/175.79 |
% 223.94/175.79 | Instantiating (3909) with all_2636_0_13868, all_2636_1_13869, all_2636_2_13870 yields:
% 223.94/175.79 | (3910) ~ (all_2636_0_13868 = 0) & leq(all_0_1_1, all_2636_1_13869) = all_2636_0_13868 & multiplication(one, all_0_1_1) = all_2636_2_13870 & addition(all_2636_2_13870, zero) = all_2636_1_13869
% 223.94/175.79 |
% 223.94/175.79 | Applying alpha-rule on (3910) yields:
% 223.94/175.79 | (3911) ~ (all_2636_0_13868 = 0)
% 223.94/175.79 | (3912) leq(all_0_1_1, all_2636_1_13869) = all_2636_0_13868
% 223.94/175.79 | (3913) multiplication(one, all_0_1_1) = all_2636_2_13870
% 223.94/175.79 | (3914) addition(all_2636_2_13870, zero) = all_2636_1_13869
% 223.94/175.79 |
% 223.94/175.79 +-Applying beta-rule and splitting (3682), into two cases.
% 223.94/175.79 |-Branch one:
% 223.94/175.79 | (3915) all_2045_0_13197 = 0 & leq(all_2045_1_13198, one) = 0 & star(zero) = all_2045_2_13199 & multiplication(all_2045_2_13199, one) = all_2045_1_13198
% 223.94/175.79 |
% 223.94/175.79 | Applying alpha-rule on (3915) yields:
% 223.94/175.79 | (3916) all_2045_0_13197 = 0
% 223.94/175.80 | (3917) leq(all_2045_1_13198, one) = 0
% 223.94/175.80 | (3918) star(zero) = all_2045_2_13199
% 223.94/175.80 | (3919) multiplication(all_2045_2_13199, one) = all_2045_1_13198
% 223.94/175.80 |
% 223.94/175.80 +-Applying beta-rule and splitting (3742), into two cases.
% 223.94/175.80 |-Branch one:
% 223.94/175.80 | (3920) all_2224_0_13495 = 0 & strong_iteration(one) = all_2224_2_13497 & leq(all_82_1_53, all_2224_1_13496) = 0 & multiplication(all_2224_2_13497, zero) = all_2224_1_13496
% 223.94/175.80 |
% 223.94/175.80 | Applying alpha-rule on (3920) yields:
% 223.94/175.80 | (3921) all_2224_0_13495 = 0
% 223.94/175.80 | (3922) strong_iteration(one) = all_2224_2_13497
% 223.94/175.80 | (3923) leq(all_82_1_53, all_2224_1_13496) = 0
% 223.94/175.80 | (3924) multiplication(all_2224_2_13497, zero) = all_2224_1_13496
% 223.94/175.80 |
% 223.94/175.80 +-Applying beta-rule and splitting (3695), into two cases.
% 223.94/175.80 |-Branch one:
% 223.94/175.80 | (3925) all_2102_0_13307 = 0 & leq(all_2102_1_13308, all_82_1_53) = 0 & star(zero) = all_2102_2_13309 & multiplication(all_82_1_53, all_2102_2_13309) = all_2102_1_13308
% 223.94/175.80 |
% 223.94/175.80 | Applying alpha-rule on (3925) yields:
% 223.94/175.80 | (3926) all_2102_0_13307 = 0
% 223.94/175.80 | (3927) leq(all_2102_1_13308, all_82_1_53) = 0
% 223.94/175.80 | (3928) star(zero) = all_2102_2_13309
% 223.94/175.80 | (3929) multiplication(all_82_1_53, all_2102_2_13309) = all_2102_1_13308
% 223.94/175.80 |
% 223.94/175.80 +-Applying beta-rule and splitting (3757), into two cases.
% 223.94/175.80 |-Branch one:
% 223.94/175.80 | (3930) all_2298_0_13618 = 0 & strong_iteration(one) = all_2298_2_13620 & leq(one, all_2298_1_13619) = 0 & multiplication(all_2298_2_13620, all_82_1_53) = all_2298_1_13619
% 223.94/175.80 |
% 223.94/175.80 | Applying alpha-rule on (3930) yields:
% 223.94/175.80 | (3931) all_2298_0_13618 = 0
% 223.94/175.80 | (3932) strong_iteration(one) = all_2298_2_13620
% 223.94/175.80 | (3933) leq(one, all_2298_1_13619) = 0
% 223.94/175.80 | (3934) multiplication(all_2298_2_13620, all_82_1_53) = all_2298_1_13619
% 223.94/175.80 |
% 223.94/175.80 +-Applying beta-rule and splitting (3740), into two cases.
% 223.94/175.80 |-Branch one:
% 223.94/175.80 | (3935) all_2199_0_13436 = 0 & strong_iteration(one) = all_2199_2_13438 & leq(zero, all_2199_1_13437) = 0 & multiplication(all_2199_2_13438, all_26_0_19) = all_2199_1_13437
% 223.94/175.80 |
% 223.94/175.80 | Applying alpha-rule on (3935) yields:
% 223.94/175.80 | (3936) all_2199_0_13436 = 0
% 223.94/175.80 | (3937) strong_iteration(one) = all_2199_2_13438
% 223.94/175.80 | (3938) leq(zero, all_2199_1_13437) = 0
% 223.94/175.80 | (3939) multiplication(all_2199_2_13438, all_26_0_19) = all_2199_1_13437
% 223.94/175.80 |
% 223.94/175.80 +-Applying beta-rule and splitting (3807), into two cases.
% 223.94/175.80 |-Branch one:
% 223.94/175.80 | (3940) all_2416_0_13742 = 0 & leq(all_2416_1_13743, one) = 0 & star(zero) = all_2416_2_13744 & multiplication(all_2416_2_13744, zero) = all_2416_1_13743
% 223.94/175.80 |
% 223.94/175.80 | Applying alpha-rule on (3940) yields:
% 223.94/175.80 | (3941) all_2416_0_13742 = 0
% 223.94/175.80 | (3942) leq(all_2416_1_13743, one) = 0
% 223.94/175.80 | (3943) star(zero) = all_2416_2_13744
% 223.94/175.80 | (3944) multiplication(all_2416_2_13744, zero) = all_2416_1_13743
% 223.94/175.80 |
% 223.94/175.80 +-Applying beta-rule and splitting (3743), into two cases.
% 223.94/175.80 |-Branch one:
% 223.94/175.80 | (3945) all_2230_0_13513 = 0 & strong_iteration(one) = all_2230_2_13515 & leq(zero, all_2230_1_13514) = 0 & multiplication(all_2230_2_13515, all_82_1_53) = all_2230_1_13514
% 223.94/175.80 |
% 223.94/175.80 | Applying alpha-rule on (3945) yields:
% 223.94/175.80 | (3946) all_2230_0_13513 = 0
% 223.94/175.80 | (3947) strong_iteration(one) = all_2230_2_13515
% 223.94/175.80 | (3948) leq(zero, all_2230_1_13514) = 0
% 223.94/175.80 | (3949) multiplication(all_2230_2_13515, all_82_1_53) = all_2230_1_13514
% 223.94/175.80 |
% 223.94/175.80 +-Applying beta-rule and splitting (3755), into two cases.
% 223.94/175.80 |-Branch one:
% 223.94/175.80 | (3950) all_2280_0_13594 = 0 & strong_iteration(one) = all_2280_2_13596 & leq(all_0_2_2, all_2280_1_13595) = 0 & multiplication(all_2280_2_13596, all_82_1_53) = all_2280_1_13595
% 223.94/175.80 |
% 223.94/175.80 | Applying alpha-rule on (3950) yields:
% 223.94/175.80 | (3951) all_2280_0_13594 = 0
% 223.94/175.80 | (3952) strong_iteration(one) = all_2280_2_13596
% 223.94/175.80 | (3953) leq(all_0_2_2, all_2280_1_13595) = 0
% 223.94/175.80 | (3954) multiplication(all_2280_2_13596, all_82_1_53) = all_2280_1_13595
% 223.94/175.80 |
% 223.94/175.80 +-Applying beta-rule and splitting (3809), into two cases.
% 223.94/175.80 |-Branch one:
% 223.94/175.80 | (3955) all_2450_0_13815 = 0 & strong_iteration(one) = all_2450_2_13817 & leq(all_0_2_2, all_2450_1_13816) = 0 & multiplication(all_2450_2_13817, all_519_0_492) = all_2450_1_13816
% 223.94/175.80 |
% 223.94/175.80 | Applying alpha-rule on (3955) yields:
% 223.94/175.80 | (3956) all_2450_0_13815 = 0
% 223.94/175.80 | (3957) strong_iteration(one) = all_2450_2_13817
% 223.94/175.80 | (3958) leq(all_0_2_2, all_2450_1_13816) = 0
% 223.94/175.80 | (3959) multiplication(all_2450_2_13817, all_519_0_492) = all_2450_1_13816
% 223.94/175.80 |
% 223.94/175.80 +-Applying beta-rule and splitting (3810), into two cases.
% 223.94/175.80 |-Branch one:
% 223.94/175.80 | (3960) all_2459_0_13838 = 0 & strong_iteration(one) = all_2459_2_13840 & leq(all_82_1_53, all_2459_1_13839) = 0 & multiplication(all_2459_2_13840, all_0_2_2) = all_2459_1_13839
% 223.94/175.80 |
% 223.94/175.80 | Applying alpha-rule on (3960) yields:
% 223.94/175.80 | (3961) all_2459_0_13838 = 0
% 223.94/175.80 | (3962) strong_iteration(one) = all_2459_2_13840
% 224.07/175.80 | (3963) leq(all_82_1_53, all_2459_1_13839) = 0
% 224.07/175.80 | (3964) multiplication(all_2459_2_13840, all_0_2_2) = all_2459_1_13839
% 224.07/175.80 |
% 224.07/175.80 | Instantiating formula (29) with one, all_2422_2_13762, all_2459_2_13840 and discharging atoms strong_iteration(one) = all_2459_2_13840, strong_iteration(one) = all_2422_2_13762, yields:
% 224.07/175.80 | (3965) all_2459_2_13840 = all_2422_2_13762
% 224.07/175.80 |
% 224.07/175.80 | Instantiating formula (29) with one, all_2298_2_13620, all_2459_2_13840 and discharging atoms strong_iteration(one) = all_2459_2_13840, strong_iteration(one) = all_2298_2_13620, yields:
% 224.07/175.80 | (3966) all_2459_2_13840 = all_2298_2_13620
% 224.07/175.80 |
% 224.07/175.80 | Instantiating formula (29) with one, all_2280_2_13596, all_2459_2_13840 and discharging atoms strong_iteration(one) = all_2459_2_13840, strong_iteration(one) = all_2280_2_13596, yields:
% 224.07/175.80 | (3967) all_2459_2_13840 = all_2280_2_13596
% 224.07/175.80 |
% 224.07/175.80 | Instantiating formula (29) with one, all_2230_2_13515, all_2280_2_13596 and discharging atoms strong_iteration(one) = all_2280_2_13596, strong_iteration(one) = all_2230_2_13515, yields:
% 224.07/175.80 | (3968) all_2280_2_13596 = all_2230_2_13515
% 224.07/175.80 |
% 224.07/175.80 | Instantiating formula (29) with one, all_2224_2_13497, all_2450_2_13817 and discharging atoms strong_iteration(one) = all_2450_2_13817, strong_iteration(one) = all_2224_2_13497, yields:
% 224.07/175.80 | (3969) all_2450_2_13817 = all_2224_2_13497
% 224.07/175.80 |
% 224.07/175.80 | Instantiating formula (29) with one, all_2199_2_13438, all_0_2_2 and discharging atoms strong_iteration(one) = all_2199_2_13438, strong_iteration(one) = all_0_2_2, yields:
% 224.07/175.80 | (3970) all_2199_2_13438 = all_0_2_2
% 224.07/175.80 |
% 224.07/175.80 | Instantiating formula (29) with one, all_2196_2_13429, all_2230_2_13515 and discharging atoms strong_iteration(one) = all_2230_2_13515, strong_iteration(one) = all_2196_2_13429, yields:
% 224.07/175.80 | (3971) all_2230_2_13515 = all_2196_2_13429
% 224.07/175.80 |
% 224.07/175.81 | Instantiating formula (29) with one, all_2044_2_13196, all_2224_2_13497 and discharging atoms strong_iteration(one) = all_2224_2_13497, strong_iteration(one) = all_2044_2_13196, yields:
% 224.07/175.81 | (3972) all_2224_2_13497 = all_2044_2_13196
% 224.07/175.81 |
% 224.07/175.81 | Instantiating formula (29) with one, all_2025_2_13159, all_2196_2_13429 and discharging atoms strong_iteration(one) = all_2196_2_13429, strong_iteration(one) = all_2025_2_13159, yields:
% 224.07/175.81 | (3973) all_2196_2_13429 = all_2025_2_13159
% 224.07/175.81 |
% 224.07/175.81 | Instantiating formula (29) with one, all_1185_2_1302, all_2196_2_13429 and discharging atoms strong_iteration(one) = all_2196_2_13429, strong_iteration(one) = all_1185_2_1302, yields:
% 224.07/175.81 | (3974) all_2196_2_13429 = all_1185_2_1302
% 224.07/175.81 |
% 224.07/175.81 | Instantiating formula (29) with one, all_1174_2_1287, all_1185_2_1302 and discharging atoms strong_iteration(one) = all_1185_2_1302, strong_iteration(one) = all_1174_2_1287, yields:
% 224.07/175.81 | (3975) all_1185_2_1302 = all_1174_2_1287
% 224.07/175.81 |
% 224.07/175.81 | Instantiating formula (29) with one, all_998_2_1073, all_2450_2_13817 and discharging atoms strong_iteration(one) = all_2450_2_13817, strong_iteration(one) = all_998_2_1073, yields:
% 224.07/175.81 | (3976) all_2450_2_13817 = all_998_2_1073
% 224.07/175.81 |
% 224.07/175.81 | Instantiating formula (29) with one, all_942_2_1003, all_2199_2_13438 and discharging atoms strong_iteration(one) = all_2199_2_13438, strong_iteration(one) = all_942_2_1003, yields:
% 224.07/175.81 | (3977) all_2199_2_13438 = all_942_2_1003
% 224.07/175.81 |
% 224.07/175.81 | Instantiating formula (29) with one, all_942_2_1003, all_1174_2_1287 and discharging atoms strong_iteration(one) = all_1174_2_1287, strong_iteration(one) = all_942_2_1003, yields:
% 224.07/175.81 | (3978) all_1174_2_1287 = all_942_2_1003
% 224.07/175.81 |
% 224.07/175.81 | Instantiating formula (29) with one, all_823_2_870, all_2450_2_13817 and discharging atoms strong_iteration(one) = all_2450_2_13817, strong_iteration(one) = all_823_2_870, yields:
% 224.07/175.81 | (3979) all_2450_2_13817 = all_823_2_870
% 224.07/175.81 |
% 224.07/175.81 | Instantiating formula (29) with one, all_651_2_648, all_942_2_1003 and discharging atoms strong_iteration(one) = all_942_2_1003, strong_iteration(one) = all_651_2_648, yields:
% 224.07/175.81 | (3980) all_942_2_1003 = all_651_2_648
% 224.07/175.81 |
% 224.07/175.81 | Instantiating formula (29) with one, all_651_2_648, all_823_2_870 and discharging atoms strong_iteration(one) = all_823_2_870, strong_iteration(one) = all_651_2_648, yields:
% 224.07/175.81 | (3981) all_823_2_870 = all_651_2_648
% 224.07/175.81 |
% 224.07/175.81 | Instantiating formula (29) with one, all_632_2_626, all_2422_2_13762 and discharging atoms strong_iteration(one) = all_2422_2_13762, strong_iteration(one) = all_632_2_626, yields:
% 224.07/175.81 | (3982) all_2422_2_13762 = all_632_2_626
% 224.07/175.81 |
% 224.07/175.81 | Instantiating formula (29) with one, all_500_2_482, all_2224_2_13497 and discharging atoms strong_iteration(one) = all_2224_2_13497, strong_iteration(one) = all_500_2_482, yields:
% 224.07/175.81 | (3983) all_2224_2_13497 = all_500_2_482
% 224.07/175.81 |
% 224.07/175.81 | Instantiating formula (31) with zero, all_2316_2_13654, all_2416_2_13744 and discharging atoms star(zero) = all_2416_2_13744, star(zero) = all_2316_2_13654, yields:
% 224.07/175.81 | (3984) all_2416_2_13744 = all_2316_2_13654
% 224.07/175.81 |
% 224.07/175.81 | Instantiating formula (31) with zero, all_2219_2_13486, all_108_2_96 and discharging atoms star(zero) = all_2219_2_13486, star(zero) = all_108_2_96, yields:
% 224.07/175.81 | (3985) all_2219_2_13486 = all_108_2_96
% 224.07/175.81 |
% 224.07/175.81 | Instantiating formula (31) with zero, all_2219_2_13486, all_2316_2_13654 and discharging atoms star(zero) = all_2316_2_13654, star(zero) = all_2219_2_13486, yields:
% 224.07/175.81 | (3986) all_2316_2_13654 = all_2219_2_13486
% 224.07/175.81 |
% 224.07/175.81 | Instantiating formula (31) with zero, all_2102_2_13309, all_2294_2_13613 and discharging atoms star(zero) = all_2294_2_13613, star(zero) = all_2102_2_13309, yields:
% 224.07/175.81 | (3987) all_2294_2_13613 = all_2102_2_13309
% 224.07/175.81 |
% 224.07/175.81 | Instantiating formula (31) with zero, all_2102_2_13309, all_2219_2_13486 and discharging atoms star(zero) = all_2219_2_13486, star(zero) = all_2102_2_13309, yields:
% 224.07/175.81 | (3988) all_2219_2_13486 = all_2102_2_13309
% 224.07/175.81 |
% 224.07/175.81 | Instantiating formula (31) with zero, all_2094_1_13297, all_2102_2_13309 and discharging atoms star(zero) = all_2102_2_13309, star(zero) = all_2094_1_13297, yields:
% 224.07/175.81 | (3989) all_2102_2_13309 = all_2094_1_13297
% 224.07/175.81 |
% 224.07/175.81 | Instantiating formula (31) with zero, all_2063_2_13233, all_2219_2_13486 and discharging atoms star(zero) = all_2219_2_13486, star(zero) = all_2063_2_13233, yields:
% 224.07/175.81 | (3990) all_2219_2_13486 = all_2063_2_13233
% 224.07/175.81 |
% 224.07/175.81 | Instantiating formula (31) with zero, all_2055_2_13221, all_2416_2_13744 and discharging atoms star(zero) = all_2416_2_13744, star(zero) = all_2055_2_13221, yields:
% 224.07/175.81 | (3991) all_2416_2_13744 = all_2055_2_13221
% 224.07/175.81 |
% 224.07/175.81 | Instantiating formula (31) with zero, all_2045_2_13199, all_2294_2_13613 and discharging atoms star(zero) = all_2294_2_13613, star(zero) = all_2045_2_13199, yields:
% 224.07/175.81 | (3992) all_2294_2_13613 = all_2045_2_13199
% 224.07/175.81 |
% 224.07/175.81 | Instantiating formula (19) with all_0_2_2, all_108_2_96, all_2133_0_13357, all_2396_0_13720 and discharging atoms multiplication(all_0_2_2, all_108_2_96) = all_2396_0_13720, multiplication(all_0_2_2, all_108_2_96) = all_2133_0_13357, yields:
% 224.07/175.81 | (3993) all_2396_0_13720 = all_2133_0_13357
% 224.07/175.81 |
% 224.07/175.81 | Instantiating formula (19) with all_0_2_2, all_108_2_96, all_2133_0_13357, all_2135_0_13359 and discharging atoms multiplication(all_0_2_2, all_108_2_96) = all_2135_0_13359, multiplication(all_0_2_2, all_108_2_96) = all_2133_0_13357, yields:
% 224.07/175.81 | (3994) all_2135_0_13359 = all_2133_0_13357
% 224.07/175.81 |
% 224.07/175.81 | Instantiating formula (19) with all_0_2_2, all_108_2_96, all_2133_1_13358, all_2396_0_13720 and discharging atoms multiplication(all_0_2_2, all_108_2_96) = all_2396_0_13720, multiplication(all_0_2_2, all_108_2_96) = all_2133_1_13358, yields:
% 224.07/175.81 | (3995) all_2396_0_13720 = all_2133_1_13358
% 224.07/175.81 |
% 224.07/175.81 | Instantiating formula (19) with all_0_2_2, all_108_2_96, all_2133_1_13358, all_2137_1_13361 and discharging atoms multiplication(all_0_2_2, all_108_2_96) = all_2137_1_13361, multiplication(all_0_2_2, all_108_2_96) = all_2133_1_13358, yields:
% 224.07/175.81 | (3996) all_2137_1_13361 = all_2133_1_13358
% 224.07/175.81 |
% 224.07/175.81 | Instantiating formula (19) with all_0_2_2, all_108_2_96, all_2131_1_13356, all_2396_0_13720 and discharging atoms multiplication(all_0_2_2, all_108_2_96) = all_2396_0_13720, multiplication(all_0_2_2, all_108_2_96) = all_2131_1_13356, yields:
% 224.07/175.81 | (3997) all_2396_0_13720 = all_2131_1_13356
% 224.07/175.81 |
% 224.07/175.81 | Instantiating formula (19) with all_0_2_2, all_108_2_96, all_2129_0_13353, all_2133_1_13358 and discharging atoms multiplication(all_0_2_2, all_108_2_96) = all_2133_1_13358, multiplication(all_0_2_2, all_108_2_96) = all_2129_0_13353, yields:
% 224.07/175.81 | (3998) all_2133_1_13358 = all_2129_0_13353
% 224.07/175.81 |
% 224.07/175.81 | Instantiating formula (19) with all_0_2_2, all_108_2_96, all_2124_0_13346, all_2137_1_13361 and discharging atoms multiplication(all_0_2_2, all_108_2_96) = all_2137_1_13361, multiplication(all_0_2_2, all_108_2_96) = all_2124_0_13346, yields:
% 224.07/175.81 | (3999) all_2137_1_13361 = all_2124_0_13346
% 224.07/175.81 |
% 224.07/175.81 | Instantiating formula (19) with all_0_2_2, all_0_1_1, all_2404_0_13724, all_150_1_157 and discharging atoms multiplication(all_0_2_2, all_0_1_1) = all_2404_0_13724, multiplication(all_0_2_2, all_0_1_1) = all_150_1_157, yields:
% 224.07/175.81 | (4000) all_2404_0_13724 = all_150_1_157
% 224.07/175.81 |
% 224.07/175.81 | Instantiating formula (19) with all_0_2_2, all_0_1_1, all_2374_0_13704, all_2404_0_13724 and discharging atoms multiplication(all_0_2_2, all_0_1_1) = all_2404_0_13724, multiplication(all_0_2_2, all_0_1_1) = all_2374_0_13704, yields:
% 224.07/175.81 | (4001) all_2404_0_13724 = all_2374_0_13704
% 224.07/175.81 |
% 224.07/175.81 | Instantiating formula (19) with all_0_2_2, all_0_1_1, all_2374_0_13704, all_2386_0_13712 and discharging atoms multiplication(all_0_2_2, all_0_1_1) = all_2386_0_13712, multiplication(all_0_2_2, all_0_1_1) = all_2374_0_13704, yields:
% 224.07/175.81 | (4002) all_2386_0_13712 = all_2374_0_13704
% 224.07/175.81 |
% 224.07/175.81 | Instantiating formula (19) with all_0_2_2, all_0_1_1, all_2372_0_13702, all_2404_0_13724 and discharging atoms multiplication(all_0_2_2, all_0_1_1) = all_2404_0_13724, multiplication(all_0_2_2, all_0_1_1) = all_2372_0_13702, yields:
% 224.07/175.81 | (4003) all_2404_0_13724 = all_2372_0_13702
% 224.07/175.81 |
% 224.07/175.81 | Instantiating formula (19) with all_0_2_2, all_0_1_1, all_2372_1_13703, all_2386_0_13712 and discharging atoms multiplication(all_0_2_2, all_0_1_1) = all_2386_0_13712, multiplication(all_0_2_2, all_0_1_1) = all_2372_1_13703, yields:
% 224.07/175.81 | (4004) all_2386_0_13712 = all_2372_1_13703
% 224.07/175.81 |
% 224.07/175.81 | Instantiating formula (19) with all_0_2_2, all_0_1_1, all_2370_1_13701, all_2374_0_13704 and discharging atoms multiplication(all_0_2_2, all_0_1_1) = all_2374_0_13704, multiplication(all_0_2_2, all_0_1_1) = all_2370_1_13701, yields:
% 224.07/175.81 | (4005) all_2374_0_13704 = all_2370_1_13701
% 224.07/175.81 |
% 224.07/175.81 | Instantiating formula (19) with all_0_2_2, zero, all_2300_0_13624, all_2408_0_13727 and discharging atoms multiplication(all_0_2_2, zero) = all_2408_0_13727, multiplication(all_0_2_2, zero) = all_2300_0_13624, yields:
% 224.07/175.81 | (4006) all_2408_0_13727 = all_2300_0_13624
% 224.07/175.81 |
% 224.07/175.81 | Instantiating formula (19) with all_0_2_2, zero, all_2193_1_13423, all_0_2_2 and discharging atoms multiplication(all_0_2_2, zero) = all_2193_1_13423, multiplication(all_0_2_2, zero) = all_0_2_2, yields:
% 224.07/175.81 | (4007) all_2193_1_13423 = all_0_2_2
% 224.07/175.81 |
% 224.07/175.81 | Instantiating formula (19) with all_0_2_2, zero, all_2193_1_13423, all_2300_0_13624 and discharging atoms multiplication(all_0_2_2, zero) = all_2300_0_13624, multiplication(all_0_2_2, zero) = all_2193_1_13423, yields:
% 224.07/175.81 | (4008) all_2300_0_13624 = all_2193_1_13423
% 224.07/175.81 |
% 224.07/175.81 | Instantiating formula (19) with all_0_2_2, zero, all_2120_0_13343, all_2408_0_13727 and discharging atoms multiplication(all_0_2_2, zero) = all_2408_0_13727, multiplication(all_0_2_2, zero) = all_2120_0_13343, yields:
% 224.07/175.81 | (4009) all_2408_0_13727 = all_2120_0_13343
% 224.07/175.81 |
% 224.07/175.81 | Instantiating formula (19) with all_0_2_2, zero, all_2033_0_13177, all_2193_1_13423 and discharging atoms multiplication(all_0_2_2, zero) = all_2193_1_13423, multiplication(all_0_2_2, zero) = all_2033_0_13177, yields:
% 224.07/175.81 | (4010) all_2193_1_13423 = all_2033_0_13177
% 224.07/175.81 |
% 224.07/175.81 | Instantiating formula (20) with all_1058_1_1124, all_2135_0_13359 and discharging atoms multiplication(one, all_2135_0_13359) = all_1058_1_1124, yields:
% 224.07/175.81 | (4011) all_2135_0_13359 = all_1058_1_1124
% 224.07/175.81 |
% 224.07/175.81 | Instantiating formula (19) with one, all_0_1_1, all_2508_2_13848, all_2636_2_13870 and discharging atoms multiplication(one, all_0_1_1) = all_2636_2_13870, multiplication(one, all_0_1_1) = all_2508_2_13848, yields:
% 224.07/175.81 | (4012) all_2636_2_13870 = all_2508_2_13848
% 224.07/175.81 |
% 224.07/175.81 | Instantiating formula (19) with one, all_0_1_1, all_2370_0_13700, all_2636_2_13870 and discharging atoms multiplication(one, all_0_1_1) = all_2636_2_13870, multiplication(one, all_0_1_1) = all_2370_0_13700, yields:
% 224.07/175.81 | (4013) all_2636_2_13870 = all_2370_0_13700
% 224.07/175.81 |
% 224.07/175.81 | Instantiating formula (19) with one, all_0_1_1, all_2341_0_13673, all_2370_0_13700 and discharging atoms multiplication(one, all_0_1_1) = all_2370_0_13700, multiplication(one, all_0_1_1) = all_2341_0_13673, yields:
% 224.07/175.81 | (4014) all_2370_0_13700 = all_2341_0_13673
% 224.07/175.81 |
% 224.07/175.81 | Instantiating formula (20) with all_2341_0_13673, all_0_1_1 and discharging atoms multiplication(one, all_0_1_1) = all_2341_0_13673, yields:
% 224.07/175.81 | (4015) all_2341_0_13673 = all_0_1_1
% 224.07/175.81 |
% 224.07/175.81 | Instantiating formula (19) with one, all_0_1_1, all_2341_1_13674, all_2636_2_13870 and discharging atoms multiplication(one, all_0_1_1) = all_2636_2_13870, multiplication(one, all_0_1_1) = all_2341_1_13674, yields:
% 224.07/175.81 | (4016) all_2636_2_13870 = all_2341_1_13674
% 224.07/175.81 |
% 224.07/175.81 | Instantiating formula (19) with one, all_0_1_1, all_2235_1_13524, all_2341_0_13673 and discharging atoms multiplication(one, all_0_1_1) = all_2341_0_13673, multiplication(one, all_0_1_1) = all_2235_1_13524, yields:
% 224.07/175.81 | (4017) all_2341_0_13673 = all_2235_1_13524
% 224.07/175.81 |
% 224.07/175.81 | Instantiating formula (19) with zero, all_108_2_96, all_2241_0_13533, all_2358_0_13691 and discharging atoms multiplication(zero, all_108_2_96) = all_2358_0_13691, multiplication(zero, all_108_2_96) = all_2241_0_13533, yields:
% 224.07/175.81 | (4018) all_2358_0_13691 = all_2241_0_13533
% 224.07/175.81 |
% 224.07/175.81 | Instantiating formula (19) with zero, all_108_2_96, all_2171_0_13398, all_2241_0_13533 and discharging atoms multiplication(zero, all_108_2_96) = all_2241_0_13533, multiplication(zero, all_108_2_96) = all_2171_0_13398, yields:
% 224.07/175.81 | (4019) all_2241_0_13533 = all_2171_0_13398
% 224.07/175.81 |
% 224.07/175.81 | Instantiating formula (19) with zero, all_108_2_96, all_2131_0_13355, all_2171_0_13398 and discharging atoms multiplication(zero, all_108_2_96) = all_2171_0_13398, multiplication(zero, all_108_2_96) = all_2131_0_13355, yields:
% 224.07/175.81 | (4020) all_2171_0_13398 = all_2131_0_13355
% 224.07/175.81 |
% 224.07/175.81 | Instantiating formula (6) with all_2131_0_13355, all_108_2_96 and discharging atoms multiplication(zero, all_108_2_96) = all_2131_0_13355, yields:
% 224.07/175.81 | (4021) all_2131_0_13355 = zero
% 224.07/175.81 |
% 224.07/175.81 | Instantiating formula (19) with zero, all_108_2_96, all_2129_1_13354, all_2358_0_13691 and discharging atoms multiplication(zero, all_108_2_96) = all_2358_0_13691, multiplication(zero, all_108_2_96) = all_2129_1_13354, yields:
% 224.07/175.81 | (4022) all_2358_0_13691 = all_2129_1_13354
% 224.07/175.81 |
% 224.07/175.81 | Instantiating formula (6) with all_2355_0_13687, all_26_0_19 and discharging atoms multiplication(zero, all_26_0_19) = all_2355_0_13687, yields:
% 224.07/175.81 | (4023) all_2355_0_13687 = zero
% 224.07/175.81 |
% 224.07/175.81 | Instantiating formula (6) with all_2404_1_13725, all_0_1_1 and discharging atoms multiplication(zero, all_0_1_1) = all_2404_1_13725, yields:
% 224.07/175.81 | (4024) all_2404_1_13725 = zero
% 224.07/175.81 |
% 224.07/175.81 | Instantiating formula (19) with zero, all_0_1_1, all_2368_0_13698, all_2404_1_13725 and discharging atoms multiplication(zero, all_0_1_1) = all_2404_1_13725, multiplication(zero, all_0_1_1) = all_2368_0_13698, yields:
% 224.07/175.81 | (4025) all_2404_1_13725 = all_2368_0_13698
% 224.07/175.81 |
% 224.07/175.81 | Instantiating formula (19) with zero, all_0_1_1, all_2360_0_13692, all_2404_1_13725 and discharging atoms multiplication(zero, all_0_1_1) = all_2404_1_13725, multiplication(zero, all_0_1_1) = all_2360_0_13692, yields:
% 224.07/175.81 | (4026) all_2404_1_13725 = all_2360_0_13692
% 224.07/175.81 |
% 224.07/175.81 | Instantiating formula (36) with zero, all_0_1_1, all_2189_0_13415, all_2233_0_13522 and discharging atoms addition(zero, all_0_1_1) = all_2233_0_13522, addition(zero, all_0_1_1) = all_2189_0_13415, yields:
% 224.07/175.81 | (4027) all_2233_0_13522 = all_2189_0_13415
% 224.07/175.81 |
% 224.07/175.81 | Instantiating formula (36) with zero, all_0_1_1, all_2187_0_13414, all_519_0_492 and discharging atoms addition(zero, all_0_1_1) = all_2187_0_13414, addition(zero, all_0_1_1) = all_519_0_492, yields:
% 224.07/175.81 | (4028) all_2187_0_13414 = all_519_0_492
% 224.07/175.81 |
% 224.07/175.81 | Instantiating formula (36) with zero, all_0_1_1, all_2187_0_13414, all_2189_0_13415 and discharging atoms addition(zero, all_0_1_1) = all_2189_0_13415, addition(zero, all_0_1_1) = all_2187_0_13414, yields:
% 224.07/175.81 | (4029) all_2189_0_13415 = all_2187_0_13414
% 224.07/175.81 |
% 224.07/175.81 | Instantiating formula (36) with zero, all_0_1_1, all_2141_0_13364, all_2233_0_13522 and discharging atoms addition(zero, all_0_1_1) = all_2233_0_13522, addition(zero, all_0_1_1) = all_2141_0_13364, yields:
% 224.07/175.81 | (4030) all_2233_0_13522 = all_2141_0_13364
% 224.07/175.81 |
% 224.07/175.81 | Instantiating formula (36) with zero, all_0_1_1, all_2064_0_13234, all_2187_0_13414 and discharging atoms addition(zero, all_0_1_1) = all_2187_0_13414, addition(zero, all_0_1_1) = all_2064_0_13234, yields:
% 224.07/175.81 | (4031) all_2187_0_13414 = all_2064_0_13234
% 224.07/175.81 |
% 224.07/175.81 | Instantiating formula (36) with zero, all_0_1_1, all_2064_0_13234, all_2072_0_13248 and discharging atoms addition(zero, all_0_1_1) = all_2072_0_13248, addition(zero, all_0_1_1) = all_2064_0_13234, yields:
% 224.07/175.81 | (4032) all_2072_0_13248 = all_2064_0_13234
% 224.07/175.81 |
% 224.07/175.81 | Instantiating formula (36) with zero, all_0_1_1, all_0_1_1, all_2072_0_13248 and discharging atoms addition(zero, all_0_1_1) = all_2072_0_13248, addition(zero, all_0_1_1) = all_0_1_1, yields:
% 224.07/175.82 | (4033) all_2072_0_13248 = all_0_1_1
% 224.07/175.82 |
% 224.07/175.82 | Combining equations (4016,4012) yields a new equation:
% 224.07/175.82 | (4034) all_2508_2_13848 = all_2341_1_13674
% 224.07/175.82 |
% 224.07/175.82 | Combining equations (4013,4012) yields a new equation:
% 224.07/175.82 | (4035) all_2508_2_13848 = all_2370_0_13700
% 224.07/175.82 |
% 224.07/175.82 | Combining equations (4035,4034) yields a new equation:
% 224.07/175.82 | (4036) all_2370_0_13700 = all_2341_1_13674
% 224.07/175.82 |
% 224.07/175.82 | Simplifying 4036 yields:
% 224.07/175.82 | (4037) all_2370_0_13700 = all_2341_1_13674
% 224.07/175.82 |
% 224.07/175.82 | Combining equations (3967,3966) yields a new equation:
% 224.07/175.82 | (4038) all_2298_2_13620 = all_2280_2_13596
% 224.07/175.82 |
% 224.07/175.82 | Combining equations (3965,3966) yields a new equation:
% 224.07/175.82 | (4039) all_2422_2_13762 = all_2298_2_13620
% 224.07/175.82 |
% 224.07/175.82 | Simplifying 4039 yields:
% 224.07/175.82 | (4040) all_2422_2_13762 = all_2298_2_13620
% 224.07/175.82 |
% 224.07/175.82 | Combining equations (3979,3976) yields a new equation:
% 224.07/175.82 | (4041) all_998_2_1073 = all_823_2_870
% 224.07/175.82 |
% 224.07/175.82 | Combining equations (3969,3976) yields a new equation:
% 224.07/175.82 | (4042) all_2224_2_13497 = all_998_2_1073
% 224.07/175.82 |
% 224.07/175.82 | Simplifying 4042 yields:
% 224.07/175.82 | (4043) all_2224_2_13497 = all_998_2_1073
% 224.07/175.82 |
% 224.07/175.82 | Combining equations (4040,3982) yields a new equation:
% 224.07/175.82 | (4044) all_2298_2_13620 = all_632_2_626
% 224.07/175.82 |
% 224.07/175.82 | Simplifying 4044 yields:
% 224.07/175.82 | (4045) all_2298_2_13620 = all_632_2_626
% 224.07/175.82 |
% 224.07/175.82 | Combining equations (3984,3991) yields a new equation:
% 224.07/175.82 | (4046) all_2316_2_13654 = all_2055_2_13221
% 224.07/175.82 |
% 224.07/175.82 | Simplifying 4046 yields:
% 224.07/175.82 | (4047) all_2316_2_13654 = all_2055_2_13221
% 224.07/175.82 |
% 224.07/175.82 | Combining equations (4006,4009) yields a new equation:
% 224.07/175.82 | (4048) all_2300_0_13624 = all_2120_0_13343
% 224.07/175.82 |
% 224.07/175.82 | Simplifying 4048 yields:
% 224.07/175.82 | (4049) all_2300_0_13624 = all_2120_0_13343
% 224.07/175.82 |
% 224.07/175.82 | Combining equations (4001,4003) yields a new equation:
% 224.07/175.82 | (4050) all_2374_0_13704 = all_2372_0_13702
% 224.07/175.82 |
% 224.07/175.82 | Simplifying 4050 yields:
% 224.07/175.82 | (4051) all_2374_0_13704 = all_2372_0_13702
% 224.07/175.82 |
% 224.07/175.82 | Combining equations (4000,4003) yields a new equation:
% 224.07/175.82 | (4052) all_2372_0_13702 = all_150_1_157
% 224.07/175.82 |
% 224.07/175.82 | Combining equations (4024,4025) yields a new equation:
% 224.07/175.82 | (4053) all_2368_0_13698 = zero
% 224.07/175.82 |
% 224.07/175.82 | Combining equations (4026,4025) yields a new equation:
% 224.07/175.82 | (4054) all_2368_0_13698 = all_2360_0_13692
% 224.07/175.82 |
% 224.07/175.82 | Combining equations (3995,3997) yields a new equation:
% 224.07/175.82 | (4055) all_2133_1_13358 = all_2131_1_13356
% 224.07/175.82 |
% 224.07/175.82 | Simplifying 4055 yields:
% 224.07/175.82 | (4056) all_2133_1_13358 = all_2131_1_13356
% 224.07/175.82 |
% 224.07/175.82 | Combining equations (3993,3997) yields a new equation:
% 224.07/175.82 | (4057) all_2133_0_13357 = all_2131_1_13356
% 224.07/175.82 |
% 224.07/175.82 | Simplifying 4057 yields:
% 224.07/175.82 | (4058) all_2133_0_13357 = all_2131_1_13356
% 224.07/175.82 |
% 224.07/175.82 | Combining equations (4002,4004) yields a new equation:
% 224.07/175.82 | (4059) all_2374_0_13704 = all_2372_1_13703
% 224.07/175.82 |
% 224.07/175.82 | Simplifying 4059 yields:
% 224.07/175.82 | (4060) all_2374_0_13704 = all_2372_1_13703
% 224.07/175.82 |
% 224.07/175.82 | Combining equations (4051,4060) yields a new equation:
% 224.07/175.82 | (4061) all_2372_0_13702 = all_2372_1_13703
% 224.07/175.82 |
% 224.07/175.82 | Simplifying 4061 yields:
% 224.07/175.82 | (4062) all_2372_0_13702 = all_2372_1_13703
% 224.07/175.82 |
% 224.07/175.82 | Combining equations (4005,4060) yields a new equation:
% 224.07/175.82 | (4063) all_2372_1_13703 = all_2370_1_13701
% 224.07/175.82 |
% 224.07/175.82 | Combining equations (4062,4052) yields a new equation:
% 224.07/175.82 | (4064) all_2372_1_13703 = all_150_1_157
% 224.07/175.82 |
% 224.07/175.82 | Simplifying 4064 yields:
% 224.07/175.82 | (4065) all_2372_1_13703 = all_150_1_157
% 224.07/175.82 |
% 224.07/175.82 | Combining equations (4063,4065) yields a new equation:
% 224.07/175.82 | (4066) all_2370_1_13701 = all_150_1_157
% 224.07/175.82 |
% 224.07/175.82 | Simplifying 4066 yields:
% 224.07/175.82 | (4067) all_2370_1_13701 = all_150_1_157
% 224.07/175.82 |
% 224.07/175.82 | Combining equations (4014,4037) yields a new equation:
% 224.07/175.82 | (4068) all_2341_0_13673 = all_2341_1_13674
% 224.07/175.82 |
% 224.07/175.82 | Simplifying 4068 yields:
% 224.07/175.82 | (4069) all_2341_0_13673 = all_2341_1_13674
% 224.07/175.82 |
% 224.07/175.82 | Combining equations (4054,4053) yields a new equation:
% 224.07/175.82 | (4070) all_2360_0_13692 = zero
% 224.07/175.82 |
% 224.07/175.82 | Simplifying 4070 yields:
% 224.07/175.82 | (4071) all_2360_0_13692 = zero
% 224.07/175.82 |
% 224.07/175.82 | Combining equations (4018,4022) yields a new equation:
% 224.07/175.82 | (4072) all_2241_0_13533 = all_2129_1_13354
% 224.07/175.82 |
% 224.07/175.82 | Simplifying 4072 yields:
% 224.07/175.83 | (4073) all_2241_0_13533 = all_2129_1_13354
% 224.07/175.83 |
% 224.07/175.83 | Combining equations (4015,4069) yields a new equation:
% 224.07/175.83 | (4074) all_2341_1_13674 = all_0_1_1
% 224.07/175.83 |
% 224.07/175.83 | Combining equations (4017,4069) yields a new equation:
% 224.07/175.83 | (4075) all_2341_1_13674 = all_2235_1_13524
% 224.07/175.83 |
% 224.07/175.83 | Combining equations (4074,4075) yields a new equation:
% 224.07/175.83 | (4076) all_2235_1_13524 = all_0_1_1
% 224.07/175.83 |
% 224.07/175.83 | Combining equations (3986,4047) yields a new equation:
% 224.07/175.83 | (4077) all_2219_2_13486 = all_2055_2_13221
% 224.07/175.83 |
% 224.07/175.83 | Simplifying 4077 yields:
% 224.07/175.83 | (4078) all_2219_2_13486 = all_2055_2_13221
% 224.07/175.83 |
% 224.07/175.83 | Combining equations (4008,4049) yields a new equation:
% 224.07/175.83 | (4079) all_2193_1_13423 = all_2120_0_13343
% 224.07/175.83 |
% 224.07/175.83 | Simplifying 4079 yields:
% 224.07/175.83 | (4080) all_2193_1_13423 = all_2120_0_13343
% 224.07/175.83 |
% 224.07/175.83 | Combining equations (4038,4045) yields a new equation:
% 224.07/175.83 | (4081) all_2280_2_13596 = all_632_2_626
% 224.07/175.83 |
% 224.07/175.83 | Simplifying 4081 yields:
% 224.07/175.83 | (4082) all_2280_2_13596 = all_632_2_626
% 224.07/175.83 |
% 224.07/175.83 | Combining equations (3987,3992) yields a new equation:
% 224.07/175.83 | (4083) all_2102_2_13309 = all_2045_2_13199
% 224.07/175.83 |
% 224.07/175.83 | Simplifying 4083 yields:
% 224.07/175.83 | (4084) all_2102_2_13309 = all_2045_2_13199
% 224.07/175.83 |
% 224.07/175.83 | Combining equations (3968,4082) yields a new equation:
% 224.07/175.83 | (4085) all_2230_2_13515 = all_632_2_626
% 224.07/175.83 |
% 224.07/175.83 | Simplifying 4085 yields:
% 224.07/175.83 | (4086) all_2230_2_13515 = all_632_2_626
% 224.07/175.83 |
% 224.07/175.83 | Combining equations (4019,4073) yields a new equation:
% 224.07/175.83 | (4087) all_2171_0_13398 = all_2129_1_13354
% 224.07/175.83 |
% 224.07/175.83 | Simplifying 4087 yields:
% 224.07/175.83 | (4088) all_2171_0_13398 = all_2129_1_13354
% 224.07/175.83 |
% 224.07/175.83 | Combining equations (4027,4030) yields a new equation:
% 224.07/175.83 | (4089) all_2189_0_13415 = all_2141_0_13364
% 224.07/175.83 |
% 224.17/175.83 | Simplifying 4089 yields:
% 224.17/175.83 | (4090) all_2189_0_13415 = all_2141_0_13364
% 224.17/175.83 |
% 224.17/175.83 | Combining equations (3971,4086) yields a new equation:
% 224.17/175.83 | (4091) all_2196_2_13429 = all_632_2_626
% 224.17/175.83 |
% 224.17/175.83 | Simplifying 4091 yields:
% 224.17/175.83 | (4092) all_2196_2_13429 = all_632_2_626
% 224.17/175.83 |
% 224.17/175.83 | Combining equations (3983,3972) yields a new equation:
% 224.17/175.83 | (4093) all_2044_2_13196 = all_500_2_482
% 224.17/175.83 |
% 224.17/175.83 | Combining equations (4043,3972) yields a new equation:
% 224.17/175.83 | (4094) all_2044_2_13196 = all_998_2_1073
% 224.17/175.83 |
% 224.17/175.83 | Combining equations (3985,3990) yields a new equation:
% 224.17/175.83 | (4095) all_2063_2_13233 = all_108_2_96
% 224.17/175.83 |
% 224.17/175.83 | Combining equations (3988,3990) yields a new equation:
% 224.17/175.83 | (4096) all_2102_2_13309 = all_2063_2_13233
% 224.17/175.83 |
% 224.17/175.83 | Simplifying 4096 yields:
% 224.17/175.83 | (4097) all_2102_2_13309 = all_2063_2_13233
% 224.17/175.83 |
% 224.17/175.83 | Combining equations (4078,3990) yields a new equation:
% 224.17/175.83 | (4098) all_2063_2_13233 = all_2055_2_13221
% 224.17/175.83 |
% 224.17/175.83 | Combining equations (3977,3970) yields a new equation:
% 224.17/175.83 | (4099) all_942_2_1003 = all_0_2_2
% 224.17/175.83 |
% 224.17/175.83 | Simplifying 4099 yields:
% 224.17/175.83 | (4100) all_942_2_1003 = all_0_2_2
% 224.17/175.83 |
% 224.17/175.83 | Combining equations (3974,3973) yields a new equation:
% 224.17/175.83 | (4101) all_2025_2_13159 = all_1185_2_1302
% 224.17/175.83 |
% 224.17/175.83 | Combining equations (4092,3973) yields a new equation:
% 224.17/175.83 | (4102) all_2025_2_13159 = all_632_2_626
% 224.17/175.83 |
% 224.17/175.83 | Combining equations (4007,4080) yields a new equation:
% 224.17/175.83 | (4103) all_2120_0_13343 = all_0_2_2
% 224.17/175.83 |
% 224.17/175.83 | Combining equations (4010,4080) yields a new equation:
% 224.17/175.83 | (4104) all_2120_0_13343 = all_2033_0_13177
% 224.17/175.83 |
% 224.17/175.83 | Combining equations (4029,4090) yields a new equation:
% 224.17/175.83 | (4105) all_2187_0_13414 = all_2141_0_13364
% 224.17/175.83 |
% 224.17/175.83 | Simplifying 4105 yields:
% 224.17/175.83 | (4106) all_2187_0_13414 = all_2141_0_13364
% 224.17/175.83 |
% 224.17/175.83 | Combining equations (4028,4106) yields a new equation:
% 224.17/175.83 | (4107) all_2141_0_13364 = all_519_0_492
% 224.17/175.83 |
% 224.17/175.83 | Combining equations (4031,4106) yields a new equation:
% 224.17/175.83 | (4108) all_2141_0_13364 = all_2064_0_13234
% 224.17/175.83 |
% 224.17/175.83 | Combining equations (4020,4088) yields a new equation:
% 224.17/175.83 | (4109) all_2131_0_13355 = all_2129_1_13354
% 224.17/175.83 |
% 224.17/175.83 | Simplifying 4109 yields:
% 224.17/175.83 | (4110) all_2131_0_13355 = all_2129_1_13354
% 224.17/175.83 |
% 224.17/175.84 | Combining equations (4108,4107) yields a new equation:
% 224.17/175.84 | (4111) all_2064_0_13234 = all_519_0_492
% 224.17/175.84 |
% 224.17/175.84 | Simplifying 4111 yields:
% 224.17/175.84 | (4112) all_2064_0_13234 = all_519_0_492
% 224.17/175.84 |
% 224.17/175.84 | Combining equations (3996,3999) yields a new equation:
% 224.17/175.84 | (4113) all_2133_1_13358 = all_2124_0_13346
% 224.17/175.84 |
% 224.17/175.84 | Simplifying 4113 yields:
% 224.17/175.84 | (4114) all_2133_1_13358 = all_2124_0_13346
% 224.17/175.84 |
% 224.17/175.84 | Combining equations (3994,4011) yields a new equation:
% 224.17/175.84 | (4115) all_2133_0_13357 = all_1058_1_1124
% 224.17/175.84 |
% 224.17/175.84 | Simplifying 4115 yields:
% 224.17/175.84 | (4116) all_2133_0_13357 = all_1058_1_1124
% 224.17/175.84 |
% 224.17/175.84 | Combining equations (4058,4116) yields a new equation:
% 224.17/175.84 | (4117) all_2131_1_13356 = all_1058_1_1124
% 224.17/175.84 |
% 224.17/175.84 | Simplifying 4117 yields:
% 224.17/175.84 | (4118) all_2131_1_13356 = all_1058_1_1124
% 224.17/175.84 |
% 224.17/175.84 | Combining equations (4056,3998) yields a new equation:
% 224.17/175.84 | (4119) all_2131_1_13356 = all_2129_0_13353
% 224.17/175.84 |
% 224.17/175.84 | Simplifying 4119 yields:
% 224.17/175.84 | (4120) all_2131_1_13356 = all_2129_0_13353
% 224.17/175.84 |
% 224.17/175.84 | Combining equations (4114,3998) yields a new equation:
% 224.17/175.84 | (4121) all_2129_0_13353 = all_2124_0_13346
% 224.17/175.84 |
% 224.17/175.84 | Combining equations (4021,4110) yields a new equation:
% 224.17/175.84 | (4122) all_2129_1_13354 = zero
% 224.17/175.84 |
% 224.17/175.84 | Combining equations (4120,4118) yields a new equation:
% 224.17/175.84 | (4123) all_2129_0_13353 = all_1058_1_1124
% 224.17/175.84 |
% 224.17/175.84 | Simplifying 4123 yields:
% 224.17/175.84 | (4124) all_2129_0_13353 = all_1058_1_1124
% 224.17/175.84 |
% 224.17/175.84 | Combining equations (4121,4124) yields a new equation:
% 224.17/175.84 | (4125) all_2124_0_13346 = all_1058_1_1124
% 224.17/175.84 |
% 224.17/175.84 | Simplifying 4125 yields:
% 224.17/175.84 | (4126) all_2124_0_13346 = all_1058_1_1124
% 224.17/175.84 |
% 224.17/175.84 | Combining equations (4103,4104) yields a new equation:
% 224.17/175.84 | (4127) all_2033_0_13177 = all_0_2_2
% 224.17/175.84 |
% 224.17/175.84 | Combining equations (4097,3989) yields a new equation:
% 224.17/175.84 | (4128) all_2094_1_13297 = all_2063_2_13233
% 224.17/175.84 |
% 224.17/175.84 | Combining equations (4084,3989) yields a new equation:
% 224.17/175.84 | (4129) all_2094_1_13297 = all_2045_2_13199
% 224.17/175.84 |
% 224.17/175.84 | Combining equations (4128,4129) yields a new equation:
% 224.17/175.84 | (4130) all_2063_2_13233 = all_2045_2_13199
% 224.17/175.84 |
% 224.17/175.84 | Simplifying 4130 yields:
% 224.17/175.84 | (4131) all_2063_2_13233 = all_2045_2_13199
% 224.17/175.84 |
% 224.17/175.84 | Combining equations (4032,4033) yields a new equation:
% 224.17/175.84 | (4132) all_2064_0_13234 = all_0_1_1
% 224.17/175.84 |
% 224.17/175.84 | Simplifying 4132 yields:
% 224.17/175.84 | (4133) all_2064_0_13234 = all_0_1_1
% 224.17/175.84 |
% 224.17/175.84 | Combining equations (4133,4112) yields a new equation:
% 224.17/175.84 | (4134) all_519_0_492 = all_0_1_1
% 224.17/175.84 |
% 224.17/175.84 | Combining equations (4095,4098) yields a new equation:
% 224.17/175.84 | (4135) all_2055_2_13221 = all_108_2_96
% 224.17/175.84 |
% 224.17/175.84 | Combining equations (4131,4098) yields a new equation:
% 224.17/175.84 | (4136) all_2055_2_13221 = all_2045_2_13199
% 224.17/175.84 |
% 224.17/175.84 | Combining equations (4135,4136) yields a new equation:
% 224.17/175.84 | (4137) all_2045_2_13199 = all_108_2_96
% 224.17/175.84 |
% 224.17/175.84 | Combining equations (4094,4093) yields a new equation:
% 224.17/175.84 | (4138) all_998_2_1073 = all_500_2_482
% 224.17/175.84 |
% 224.17/175.84 | Simplifying 4138 yields:
% 224.17/175.84 | (4139) all_998_2_1073 = all_500_2_482
% 224.17/175.84 |
% 224.17/175.84 | Combining equations (4101,4102) yields a new equation:
% 224.17/175.84 | (4140) all_1185_2_1302 = all_632_2_626
% 224.17/175.84 |
% 224.17/175.84 | Simplifying 4140 yields:
% 224.17/175.84 | (4141) all_1185_2_1302 = all_632_2_626
% 224.17/175.84 |
% 224.17/175.84 | Combining equations (3975,4141) yields a new equation:
% 224.17/175.84 | (4142) all_1174_2_1287 = all_632_2_626
% 224.17/175.84 |
% 224.17/175.84 | Simplifying 4142 yields:
% 224.17/175.84 | (4143) all_1174_2_1287 = all_632_2_626
% 224.17/175.84 |
% 224.17/175.84 | Combining equations (3978,4143) yields a new equation:
% 224.17/175.84 | (4144) all_942_2_1003 = all_632_2_626
% 224.17/175.84 |
% 224.17/175.84 | Simplifying 4144 yields:
% 224.17/175.84 | (4145) all_942_2_1003 = all_632_2_626
% 224.17/175.84 |
% 224.17/175.84 | Combining equations (4041,4139) yields a new equation:
% 224.17/175.84 | (4146) all_823_2_870 = all_500_2_482
% 224.17/175.84 |
% 224.17/175.84 | Simplifying 4146 yields:
% 224.17/175.84 | (4147) all_823_2_870 = all_500_2_482
% 224.17/175.84 |
% 224.17/175.84 | Combining equations (3980,4145) yields a new equation:
% 224.17/175.84 | (4148) all_651_2_648 = all_632_2_626
% 224.17/175.84 |
% 224.17/175.84 | Simplifying 4148 yields:
% 224.17/175.84 | (4149) all_651_2_648 = all_632_2_626
% 224.17/175.84 |
% 224.17/175.85 | Combining equations (4100,4145) yields a new equation:
% 224.17/175.85 | (4150) all_632_2_626 = all_0_2_2
% 224.17/175.85 |
% 224.17/175.85 | Combining equations (3981,4147) yields a new equation:
% 224.17/175.85 | (4151) all_651_2_648 = all_500_2_482
% 224.17/175.85 |
% 224.17/175.85 | Simplifying 4151 yields:
% 224.17/175.85 | (4152) all_651_2_648 = all_500_2_482
% 224.17/175.85 |
% 224.17/175.85 | Combining equations (4149,4152) yields a new equation:
% 224.17/175.85 | (4153) all_632_2_626 = all_500_2_482
% 224.17/175.85 |
% 224.17/175.85 | Simplifying 4153 yields:
% 224.17/175.85 | (4154) all_632_2_626 = all_500_2_482
% 224.17/175.85 |
% 224.17/175.85 | Combining equations (4150,4154) yields a new equation:
% 224.17/175.85 | (4155) all_500_2_482 = all_0_2_2
% 224.17/175.85 |
% 224.17/175.85 | Combining equations (4155,4093) yields a new equation:
% 224.17/175.85 | (4156) all_2044_2_13196 = all_0_2_2
% 224.17/175.85 |
% 224.17/175.85 | Combining equations (4137,4136) yields a new equation:
% 224.17/175.85 | (4135) all_2055_2_13221 = all_108_2_96
% 224.17/175.85 |
% 224.17/175.85 | Combining equations (4127,4104) yields a new equation:
% 224.17/175.85 | (4103) all_2120_0_13343 = all_0_2_2
% 224.17/175.85 |
% 224.17/175.85 | Combining equations (4156,3972) yields a new equation:
% 224.17/175.85 | (4159) all_2224_2_13497 = all_0_2_2
% 224.17/175.85 |
% 224.17/175.85 | Combining equations (4103,4049) yields a new equation:
% 224.17/175.85 | (4160) all_2300_0_13624 = all_0_2_2
% 224.17/175.85 |
% 224.17/175.85 | Combining equations (4135,4047) yields a new equation:
% 224.17/175.85 | (4161) all_2316_2_13654 = all_108_2_96
% 224.17/175.85 |
% 224.17/175.85 | Combining equations (4076,4075) yields a new equation:
% 224.17/175.85 | (4074) all_2341_1_13674 = all_0_1_1
% 224.17/175.85 |
% 224.17/175.85 | Combining equations (4122,4022) yields a new equation:
% 224.17/175.85 | (4163) all_2358_0_13691 = zero
% 224.17/175.85 |
% 224.17/175.85 | Combining equations (4074,4037) yields a new equation:
% 224.17/175.85 | (4164) all_2370_0_13700 = all_0_1_1
% 224.17/175.85 |
% 224.17/175.85 | From (4160) and (3759) follows:
% 224.17/175.85 | (4165) multiplication(all_0_2_2, all_108_2_96) = all_0_2_2
% 224.17/175.85 |
% 224.17/175.85 | From (4159) and (3924) follows:
% 224.17/175.85 | (4166) multiplication(all_0_2_2, zero) = all_2224_1_13496
% 224.17/175.85 |
% 224.17/175.85 | From (4071) and (3773) follows:
% 224.17/175.85 | (4167) multiplication(all_0_2_2, zero) = all_150_1_157
% 224.17/175.85 |
% 224.17/175.85 | From (4163) and (3770) follows:
% 224.17/175.85 | (4168) multiplication(all_0_2_2, zero) = all_1058_1_1124
% 224.17/175.85 |
% 224.17/175.85 | From (4023) and (3767) follows:
% 224.17/175.85 | (4169) multiplication(all_0_2_2, zero) = all_528_1_500
% 224.17/175.85 |
% 224.17/175.85 | From (4161) and (3830) follows:
% 224.17/175.85 | (4170) multiplication(all_0_2_2, all_108_2_96) = all_2316_1_13653
% 224.17/175.85 |
% 224.17/175.85 | From (4126) and (3701) follows:
% 224.17/175.85 | (3464) multiplication(all_0_2_2, all_108_2_96) = all_1058_1_1124
% 224.17/175.85 |
% 224.17/175.85 | From (4067)(4164) and (3782) follows:
% 224.17/175.85 | (4172) addition(all_150_1_157, all_0_1_1) = all_150_1_157
% 224.17/175.85 |
% 224.17/175.85 | From (4134) and (3799) follows:
% 224.17/175.85 | (4173) addition(zero, all_0_1_1) = all_2400_0_13722
% 224.17/175.85 |
% 224.17/175.85 | From (4134) and (1127) follows:
% 224.17/175.85 | (3648) addition(zero, all_0_1_1) = all_0_1_1
% 224.17/175.85 |
% 224.17/175.85 | Instantiating formula (19) with all_0_2_2, all_108_2_96, all_2316_1_13653, all_1058_1_1124 and discharging atoms multiplication(all_0_2_2, all_108_2_96) = all_2316_1_13653, multiplication(all_0_2_2, all_108_2_96) = all_1058_1_1124, yields:
% 224.17/175.85 | (4175) all_2316_1_13653 = all_1058_1_1124
% 224.17/175.85 |
% 224.17/175.85 | Instantiating formula (19) with all_0_2_2, all_108_2_96, all_0_2_2, all_2316_1_13653 and discharging atoms multiplication(all_0_2_2, all_108_2_96) = all_2316_1_13653, multiplication(all_0_2_2, all_108_2_96) = all_0_2_2, yields:
% 224.17/175.85 | (4176) all_2316_1_13653 = all_0_2_2
% 224.17/175.85 |
% 224.17/175.85 | Instantiating formula (19) with all_0_2_2, zero, all_528_1_500, all_2224_1_13496 and discharging atoms multiplication(all_0_2_2, zero) = all_2224_1_13496, multiplication(all_0_2_2, zero) = all_528_1_500, yields:
% 224.17/175.85 | (4177) all_2224_1_13496 = all_528_1_500
% 224.17/175.85 |
% 224.17/175.85 | Instantiating formula (19) with all_0_2_2, zero, all_528_1_500, all_1058_1_1124 and discharging atoms multiplication(all_0_2_2, zero) = all_1058_1_1124, multiplication(all_0_2_2, zero) = all_528_1_500, yields:
% 224.17/175.85 | (4178) all_1058_1_1124 = all_528_1_500
% 224.17/175.85 |
% 224.17/175.85 | Instantiating formula (19) with all_0_2_2, zero, all_150_1_157, all_2224_1_13496 and discharging atoms multiplication(all_0_2_2, zero) = all_2224_1_13496, multiplication(all_0_2_2, zero) = all_150_1_157, yields:
% 224.17/175.85 | (4179) all_2224_1_13496 = all_150_1_157
% 224.17/175.85 |
% 224.17/175.85 | Instantiating formula (36) with zero, all_0_1_1, all_2400_0_13722, all_0_1_1 and discharging atoms addition(zero, all_0_1_1) = all_2400_0_13722, addition(zero, all_0_1_1) = all_0_1_1, yields:
% 224.17/175.86 | (4180) all_2400_0_13722 = all_0_1_1
% 224.17/175.86 |
% 224.17/175.86 | Combining equations (4175,4176) yields a new equation:
% 224.17/175.86 | (4181) all_1058_1_1124 = all_0_2_2
% 224.17/175.86 |
% 224.17/175.86 | Simplifying 4181 yields:
% 224.17/175.86 | (4182) all_1058_1_1124 = all_0_2_2
% 224.17/175.86 |
% 224.17/175.86 | Combining equations (4177,4179) yields a new equation:
% 224.17/175.86 | (4183) all_528_1_500 = all_150_1_157
% 224.17/175.86 |
% 224.17/175.86 | Simplifying 4183 yields:
% 224.17/175.86 | (4184) all_528_1_500 = all_150_1_157
% 224.17/175.86 |
% 224.17/175.86 | Combining equations (4178,4182) yields a new equation:
% 224.17/175.86 | (4185) all_528_1_500 = all_0_2_2
% 224.17/175.86 |
% 224.17/175.86 | Simplifying 4185 yields:
% 224.17/175.86 | (4186) all_528_1_500 = all_0_2_2
% 224.17/175.86 |
% 224.17/175.86 | Combining equations (4184,4186) yields a new equation:
% 224.17/175.86 | (4187) all_150_1_157 = all_0_2_2
% 224.17/175.86 |
% 224.17/175.86 | Simplifying 4187 yields:
% 224.17/175.86 | (4188) all_150_1_157 = all_0_2_2
% 224.17/175.86 |
% 224.17/175.86 | From (4188)(4188) and (4172) follows:
% 224.17/175.86 | (4189) addition(all_0_2_2, all_0_1_1) = all_0_2_2
% 224.17/175.86 |
% 224.17/175.86 | From (4180) and (3798) follows:
% 224.17/175.86 | (74) addition(all_0_2_2, all_0_1_1) = all_26_0_19
% 224.17/175.86 |
% 224.17/175.86 | Instantiating formula (36) with all_0_2_2, all_0_1_1, all_0_2_2, all_26_0_19 and discharging atoms addition(all_0_2_2, all_0_1_1) = all_26_0_19, addition(all_0_2_2, all_0_1_1) = all_0_2_2, yields:
% 224.17/175.86 | (1815) all_26_0_19 = all_0_2_2
% 224.17/175.86 |
% 224.17/175.86 | Equations (1815) can reduce 60 to:
% 224.17/175.86 | (56) $false
% 224.17/175.86 |
% 224.17/175.86 |-The branch is then unsatisfiable
% 224.17/175.86 |-Branch two:
% 224.17/175.86 | (4193) ~ (all_2459_2_13840 = 0) & leq(all_82_1_53, all_82_1_53) = all_2459_2_13840
% 224.17/175.86 |
% 224.17/175.86 | Applying alpha-rule on (4193) yields:
% 224.17/175.86 | (4194) ~ (all_2459_2_13840 = 0)
% 224.17/175.86 | (4195) leq(all_82_1_53, all_82_1_53) = all_2459_2_13840
% 224.17/175.86 |
% 224.17/175.86 | Instantiating formula (28) with all_82_1_53, all_82_1_53, 0, all_2459_2_13840 and discharging atoms leq(all_82_1_53, all_82_1_53) = all_2459_2_13840, leq(all_82_1_53, all_82_1_53) = 0, yields:
% 224.17/175.86 | (4196) all_2459_2_13840 = 0
% 224.17/175.86 |
% 224.17/175.86 | Equations (4196) can reduce 4194 to:
% 224.17/175.86 | (56) $false
% 224.17/175.86 |
% 224.17/175.86 |-The branch is then unsatisfiable
% 224.17/175.86 |-Branch two:
% 224.17/175.86 | (4198) ~ (all_2450_2_13817 = 0) & leq(all_0_2_2, all_26_0_19) = all_2450_2_13817
% 224.17/175.86 |
% 224.17/175.86 | Applying alpha-rule on (4198) yields:
% 224.17/175.86 | (4199) ~ (all_2450_2_13817 = 0)
% 224.17/175.86 | (4200) leq(all_0_2_2, all_26_0_19) = all_2450_2_13817
% 224.17/175.86 |
% 224.17/175.86 | Instantiating formula (28) with all_0_2_2, all_26_0_19, 0, all_2450_2_13817 and discharging atoms leq(all_0_2_2, all_26_0_19) = all_2450_2_13817, leq(all_0_2_2, all_26_0_19) = 0, yields:
% 224.17/175.86 | (4201) all_2450_2_13817 = 0
% 224.17/175.86 |
% 224.17/175.86 | Equations (4201) can reduce 4199 to:
% 224.17/175.86 | (56) $false
% 224.17/175.86 |
% 224.17/175.86 |-The branch is then unsatisfiable
% 224.17/175.86 |-Branch two:
% 224.17/175.86 | (4203) ~ (all_2280_2_13596 = 0) & leq(all_0_2_2, all_82_1_53) = all_2280_2_13596
% 224.17/175.86 |
% 224.17/175.86 | Applying alpha-rule on (4203) yields:
% 224.17/175.86 | (4204) ~ (all_2280_2_13596 = 0)
% 224.17/175.86 | (4205) leq(all_0_2_2, all_82_1_53) = all_2280_2_13596
% 224.17/175.86 |
% 224.17/175.86 | Instantiating formula (28) with all_0_2_2, all_82_1_53, all_2280_2_13596, 0 and discharging atoms leq(all_0_2_2, all_82_1_53) = all_2280_2_13596, leq(all_0_2_2, all_82_1_53) = 0, yields:
% 224.17/175.86 | (4206) all_2280_2_13596 = 0
% 224.17/175.86 |
% 224.17/175.86 | Equations (4206) can reduce 4204 to:
% 224.17/175.86 | (56) $false
% 224.17/175.86 |
% 224.17/175.86 |-The branch is then unsatisfiable
% 224.17/175.86 |-Branch two:
% 224.17/175.86 | (4208) ~ (all_2230_2_13515 = 0) & leq(zero, all_82_1_53) = all_2230_2_13515
% 224.17/175.86 |
% 224.17/175.86 | Applying alpha-rule on (4208) yields:
% 224.17/175.86 | (4209) ~ (all_2230_2_13515 = 0)
% 224.17/175.86 | (4210) leq(zero, all_82_1_53) = all_2230_2_13515
% 224.17/175.86 |
% 224.17/175.86 | Instantiating formula (28) with zero, all_82_1_53, all_2230_2_13515, 0 and discharging atoms leq(zero, all_82_1_53) = all_2230_2_13515, leq(zero, all_82_1_53) = 0, yields:
% 224.17/175.86 | (4211) all_2230_2_13515 = 0
% 224.17/175.86 |
% 224.17/175.86 | Equations (4211) can reduce 4209 to:
% 224.17/175.86 | (56) $false
% 224.17/175.86 |
% 224.17/175.86 |-The branch is then unsatisfiable
% 224.17/175.86 |-Branch two:
% 224.17/175.86 | (4213) ~ (all_2416_2_13744 = 0) & leq(zero, one) = all_2416_2_13744
% 224.17/175.86 |
% 224.17/175.86 | Applying alpha-rule on (4213) yields:
% 224.17/175.86 | (4214) ~ (all_2416_2_13744 = 0)
% 224.17/175.86 | (4215) leq(zero, one) = all_2416_2_13744
% 224.17/175.86 |
% 224.17/175.86 | Instantiating formula (28) with zero, one, all_2416_2_13744, 0 and discharging atoms leq(zero, one) = all_2416_2_13744, leq(zero, one) = 0, yields:
% 224.17/175.86 | (4216) all_2416_2_13744 = 0
% 224.17/175.86 |
% 224.17/175.86 | Equations (4216) can reduce 4214 to:
% 224.17/175.86 | (56) $false
% 224.17/175.86 |
% 224.17/175.86 |-The branch is then unsatisfiable
% 224.17/175.86 |-Branch two:
% 224.17/175.86 | (4218) ~ (all_2199_2_13438 = 0) & leq(zero, all_26_0_19) = all_2199_2_13438
% 224.17/175.86 |
% 224.17/175.86 | Applying alpha-rule on (4218) yields:
% 224.17/175.86 | (4219) ~ (all_2199_2_13438 = 0)
% 224.17/175.86 | (4220) leq(zero, all_26_0_19) = all_2199_2_13438
% 224.17/175.86 |
% 224.17/175.86 | Instantiating formula (28) with zero, all_26_0_19, 0, all_2199_2_13438 and discharging atoms leq(zero, all_26_0_19) = all_2199_2_13438, leq(zero, all_26_0_19) = 0, yields:
% 224.17/175.86 | (4221) all_2199_2_13438 = 0
% 224.17/175.86 |
% 224.17/175.86 | Equations (4221) can reduce 4219 to:
% 224.17/175.86 | (56) $false
% 224.17/175.86 |
% 224.17/175.86 |-The branch is then unsatisfiable
% 224.17/175.87 |-Branch two:
% 224.17/175.87 | (4223) ~ (all_2298_2_13620 = 0) & leq(one, all_82_1_53) = all_2298_2_13620
% 224.17/175.87 |
% 224.17/175.87 | Applying alpha-rule on (4223) yields:
% 224.17/175.87 | (4224) ~ (all_2298_2_13620 = 0)
% 224.17/175.87 | (4225) leq(one, all_82_1_53) = all_2298_2_13620
% 224.17/175.87 |
% 224.17/175.87 | Instantiating formula (28) with one, all_82_1_53, all_2298_2_13620, 0 and discharging atoms leq(one, all_82_1_53) = all_2298_2_13620, leq(one, all_82_1_53) = 0, yields:
% 224.17/175.87 | (4226) all_2298_2_13620 = 0
% 224.17/175.87 |
% 224.17/175.87 | Equations (4226) can reduce 4224 to:
% 224.17/175.87 | (56) $false
% 224.17/175.87 |
% 224.17/175.87 |-The branch is then unsatisfiable
% 224.17/175.87 |-Branch two:
% 224.17/175.87 | (4228) ~ (all_2102_2_13309 = 0) & leq(all_82_1_53, all_82_1_53) = all_2102_2_13309
% 224.17/175.87 |
% 224.17/175.87 | Applying alpha-rule on (4228) yields:
% 224.17/175.87 | (4229) ~ (all_2102_2_13309 = 0)
% 224.17/175.87 | (4230) leq(all_82_1_53, all_82_1_53) = all_2102_2_13309
% 224.17/175.87 |
% 224.17/175.87 | Instantiating formula (28) with all_82_1_53, all_82_1_53, 0, all_2102_2_13309 and discharging atoms leq(all_82_1_53, all_82_1_53) = all_2102_2_13309, leq(all_82_1_53, all_82_1_53) = 0, yields:
% 224.17/175.87 | (4231) all_2102_2_13309 = 0
% 224.17/175.87 |
% 224.17/175.87 | Equations (4231) can reduce 4229 to:
% 224.17/175.87 | (56) $false
% 224.17/175.87 |
% 224.17/175.87 |-The branch is then unsatisfiable
% 224.17/175.87 |-Branch two:
% 224.17/175.87 | (4233) ~ (all_2224_2_13497 = 0) & leq(all_82_1_53, all_82_1_53) = all_2224_2_13497
% 224.17/175.87 |
% 224.17/175.87 | Applying alpha-rule on (4233) yields:
% 224.17/175.87 | (4234) ~ (all_2224_2_13497 = 0)
% 224.17/175.87 | (4235) leq(all_82_1_53, all_82_1_53) = all_2224_2_13497
% 224.17/175.87 |
% 224.17/175.87 | Instantiating formula (28) with all_82_1_53, all_82_1_53, 0, all_2224_2_13497 and discharging atoms leq(all_82_1_53, all_82_1_53) = all_2224_2_13497, leq(all_82_1_53, all_82_1_53) = 0, yields:
% 224.17/175.87 | (4236) all_2224_2_13497 = 0
% 224.17/175.87 |
% 224.17/175.87 | Equations (4236) can reduce 4234 to:
% 224.17/175.87 | (56) $false
% 224.17/175.87 |
% 224.17/175.87 |-The branch is then unsatisfiable
% 224.17/175.87 |-Branch two:
% 224.17/175.87 | (4238) ~ (all_2045_2_13199 = 0) & leq(one, one) = all_2045_2_13199
% 224.17/175.87 |
% 224.17/175.87 | Applying alpha-rule on (4238) yields:
% 224.17/175.87 | (4239) ~ (all_2045_2_13199 = 0)
% 224.17/175.87 | (4240) leq(one, one) = all_2045_2_13199
% 224.17/175.87 |
% 224.17/175.87 | Instantiating formula (28) with one, one, all_2045_2_13199, 0 and discharging atoms leq(one, one) = all_2045_2_13199, leq(one, one) = 0, yields:
% 224.17/175.87 | (4241) all_2045_2_13199 = 0
% 224.17/175.87 |
% 224.17/175.87 | Equations (4241) can reduce 4239 to:
% 224.17/175.87 | (56) $false
% 224.17/175.87 |
% 224.17/175.87 |-The branch is then unsatisfiable
% 224.17/175.87 |-Branch two:
% 224.17/175.87 | (4243) ~ (all_2063_2_13233 = 0) & leq(one, all_0_2_2) = all_2063_2_13233
% 224.17/175.87 |
% 224.17/175.87 | Applying alpha-rule on (4243) yields:
% 224.17/175.87 | (4244) ~ (all_2063_2_13233 = 0)
% 224.17/175.87 | (4245) leq(one, all_0_2_2) = all_2063_2_13233
% 224.17/175.87 |
% 224.17/175.87 | Instantiating formula (28) with one, all_0_2_2, all_2063_2_13233, 0 and discharging atoms leq(one, all_0_2_2) = all_2063_2_13233, leq(one, all_0_2_2) = 0, yields:
% 224.17/175.87 | (4246) all_2063_2_13233 = 0
% 224.17/175.87 |
% 224.17/175.87 | Equations (4246) can reduce 4244 to:
% 224.17/175.87 | (56) $false
% 224.17/175.87 |
% 224.17/175.87 |-The branch is then unsatisfiable
% 224.17/175.87 |-Branch two:
% 224.17/175.87 | (4248) ~ (all_2055_2_13221 = 0) & leq(all_0_2_2, all_0_2_2) = all_2055_2_13221
% 224.17/175.87 |
% 224.17/175.87 | Applying alpha-rule on (4248) yields:
% 224.17/175.87 | (4249) ~ (all_2055_2_13221 = 0)
% 224.17/175.87 | (4250) leq(all_0_2_2, all_0_2_2) = all_2055_2_13221
% 224.17/175.87 |
% 224.17/175.87 | Instantiating formula (28) with all_0_2_2, all_0_2_2, all_2055_2_13221, 0 and discharging atoms leq(all_0_2_2, all_0_2_2) = all_2055_2_13221, leq(all_0_2_2, all_0_2_2) = 0, yields:
% 224.17/175.87 | (4251) all_2055_2_13221 = 0
% 224.17/175.87 |
% 224.17/175.87 | Equations (4251) can reduce 4249 to:
% 224.17/175.87 | (56) $false
% 224.17/175.87 |
% 224.17/175.87 |-The branch is then unsatisfiable
% 224.17/175.87 |-Branch two:
% 224.17/175.87 | (4253) ~ (all_2044_2_13196 = 0) & leq(all_82_1_53, all_82_1_53) = all_2044_2_13196
% 224.17/175.87 |
% 224.17/175.87 | Applying alpha-rule on (4253) yields:
% 224.17/175.87 | (4254) ~ (all_2044_2_13196 = 0)
% 224.17/175.87 | (4255) leq(all_82_1_53, all_82_1_53) = all_2044_2_13196
% 224.17/175.87 |
% 224.17/175.87 | Instantiating formula (28) with all_82_1_53, all_82_1_53, 0, all_2044_2_13196 and discharging atoms leq(all_82_1_53, all_82_1_53) = all_2044_2_13196, leq(all_82_1_53, all_82_1_53) = 0, yields:
% 224.17/175.87 | (4256) all_2044_2_13196 = 0
% 224.17/175.87 |
% 224.17/175.87 | Equations (4256) can reduce 4254 to:
% 224.17/175.87 | (56) $false
% 224.17/175.87 |
% 224.17/175.87 |-The branch is then unsatisfiable
% 224.17/175.87 |-Branch two:
% 224.17/175.87 | (4258) ~ (all_2196_2_13429 = 0) & leq(one, all_44_0_29) = all_2196_2_13429
% 224.17/175.87 |
% 224.17/175.87 | Applying alpha-rule on (4258) yields:
% 224.17/175.87 | (4259) ~ (all_2196_2_13429 = 0)
% 224.17/175.87 | (4260) leq(one, all_44_0_29) = all_2196_2_13429
% 224.17/175.87 |
% 224.17/175.87 | Instantiating formula (28) with one, all_44_0_29, 0, all_2196_2_13429 and discharging atoms leq(one, all_44_0_29) = all_2196_2_13429, leq(one, all_44_0_29) = 0, yields:
% 224.17/175.87 | (4261) all_2196_2_13429 = 0
% 224.17/175.87 |
% 224.17/175.87 | Equations (4261) can reduce 4259 to:
% 224.17/175.87 | (56) $false
% 224.17/175.87 |
% 224.17/175.87 |-The branch is then unsatisfiable
% 224.17/175.87 |-Branch two:
% 224.17/175.87 | (4263) ~ (all_998_2_1073 = 0) & leq(all_0_2_2, all_26_0_19) = all_998_2_1073
% 224.17/175.87 |
% 224.17/175.87 | Applying alpha-rule on (4263) yields:
% 224.17/175.87 | (4264) ~ (all_998_2_1073 = 0)
% 224.17/175.87 | (4265) leq(all_0_2_2, all_26_0_19) = all_998_2_1073
% 224.17/175.87 |
% 224.17/175.87 | Instantiating formula (28) with all_0_2_2, all_26_0_19, 0, all_998_2_1073 and discharging atoms leq(all_0_2_2, all_26_0_19) = all_998_2_1073, leq(all_0_2_2, all_26_0_19) = 0, yields:
% 224.17/175.87 | (4266) all_998_2_1073 = 0
% 224.17/175.87 |
% 224.17/175.87 | Equations (4266) can reduce 4264 to:
% 224.17/175.87 | (56) $false
% 224.17/175.87 |
% 224.17/175.87 |-The branch is then unsatisfiable
% 224.17/175.87 |-Branch two:
% 224.17/175.87 | (4268) ~ (all_2219_2_13486 = 0) & leq(all_82_1_53, all_82_1_53) = all_2219_2_13486
% 224.17/175.87 |
% 224.17/175.88 | Applying alpha-rule on (4268) yields:
% 224.17/175.88 | (4269) ~ (all_2219_2_13486 = 0)
% 224.17/175.88 | (4270) leq(all_82_1_53, all_82_1_53) = all_2219_2_13486
% 224.17/175.88 |
% 224.17/175.88 | Instantiating formula (28) with all_82_1_53, all_82_1_53, 0, all_2219_2_13486 and discharging atoms leq(all_82_1_53, all_82_1_53) = all_2219_2_13486, leq(all_82_1_53, all_82_1_53) = 0, yields:
% 224.17/175.88 | (4271) all_2219_2_13486 = 0
% 224.17/175.88 |
% 224.17/175.88 | Equations (4271) can reduce 4269 to:
% 224.17/175.88 | (56) $false
% 224.17/175.88 |
% 224.17/175.88 |-The branch is then unsatisfiable
% 224.17/175.88 |-Branch two:
% 224.17/175.88 | (4273) ~ (all_2422_2_13762 = 0) & leq(zero, all_44_0_29) = all_2422_2_13762
% 224.17/175.88 |
% 224.17/175.88 | Applying alpha-rule on (4273) yields:
% 224.17/175.88 | (4274) ~ (all_2422_2_13762 = 0)
% 224.17/175.88 | (4275) leq(zero, all_44_0_29) = all_2422_2_13762
% 224.17/175.88 |
% 224.17/175.88 | Instantiating formula (28) with zero, all_44_0_29, 0, all_2422_2_13762 and discharging atoms leq(zero, all_44_0_29) = all_2422_2_13762, leq(zero, all_44_0_29) = 0, yields:
% 224.17/175.88 | (4276) all_2422_2_13762 = 0
% 224.17/175.88 |
% 224.17/175.88 | Equations (4276) can reduce 4274 to:
% 224.17/175.88 | (56) $false
% 224.17/175.88 |
% 224.17/175.88 |-The branch is then unsatisfiable
% 224.17/175.88 |-Branch two:
% 224.17/175.88 | (4278) ~ (all_1185_2_1302 = 0) & leq(one, all_44_0_29) = all_1185_2_1302
% 224.17/175.88 |
% 224.17/175.88 | Applying alpha-rule on (4278) yields:
% 224.17/175.88 | (4279) ~ (all_1185_2_1302 = 0)
% 224.17/175.88 | (4280) leq(one, all_44_0_29) = all_1185_2_1302
% 224.17/175.88 |
% 224.17/175.88 | Instantiating formula (28) with one, all_44_0_29, 0, all_1185_2_1302 and discharging atoms leq(one, all_44_0_29) = all_1185_2_1302, leq(one, all_44_0_29) = 0, yields:
% 224.17/175.88 | (4281) all_1185_2_1302 = 0
% 224.17/175.88 |
% 224.17/175.88 | Equations (4281) can reduce 4279 to:
% 224.17/175.88 | (56) $false
% 224.17/175.88 |
% 224.17/175.88 |-The branch is then unsatisfiable
% 224.17/175.88 |-Branch two:
% 224.17/175.88 | (4283) ~ (all_2294_2_13613 = 0) & leq(zero, all_0_2_2) = all_2294_2_13613
% 224.17/175.88 |
% 224.17/175.88 | Applying alpha-rule on (4283) yields:
% 224.17/175.88 | (4284) ~ (all_2294_2_13613 = 0)
% 224.17/175.88 | (4285) leq(zero, all_0_2_2) = all_2294_2_13613
% 224.17/175.88 |
% 224.17/175.88 | Instantiating formula (28) with zero, all_0_2_2, all_2294_2_13613, 0 and discharging atoms leq(zero, all_0_2_2) = all_2294_2_13613, leq(zero, all_0_2_2) = 0, yields:
% 224.17/175.88 | (4286) all_2294_2_13613 = 0
% 224.17/175.88 |
% 224.17/175.88 | Equations (4286) can reduce 4284 to:
% 224.17/175.88 | (56) $false
% 224.17/175.88 |
% 224.17/175.88 |-The branch is then unsatisfiable
% 224.17/175.88 |-Branch two:
% 224.17/175.88 | (4288) ~ (all_2025_2_13159 = 0) & leq(all_0_2_2, all_26_0_19) = all_2025_2_13159
% 224.17/175.88 |
% 224.17/175.88 | Applying alpha-rule on (4288) yields:
% 224.17/175.88 | (4289) ~ (all_2025_2_13159 = 0)
% 224.17/175.88 | (4290) leq(all_0_2_2, all_26_0_19) = all_2025_2_13159
% 224.17/175.88 |
% 224.17/175.88 | Instantiating formula (28) with all_0_2_2, all_26_0_19, 0, all_2025_2_13159 and discharging atoms leq(all_0_2_2, all_26_0_19) = all_2025_2_13159, leq(all_0_2_2, all_26_0_19) = 0, yields:
% 224.17/175.88 | (4291) all_2025_2_13159 = 0
% 224.17/175.88 |
% 224.17/175.88 | Equations (4291) can reduce 4289 to:
% 224.17/175.88 | (56) $false
% 224.17/175.88 |
% 224.17/175.88 |-The branch is then unsatisfiable
% 224.17/175.88 |-Branch two:
% 224.17/175.88 | (4293) ~ (all_823_2_870 = 0) & leq(all_38_0_20, all_152_0_162) = all_823_2_870
% 224.17/175.88 |
% 224.17/175.88 | Applying alpha-rule on (4293) yields:
% 224.17/175.88 | (4294) ~ (all_823_2_870 = 0)
% 224.17/175.88 | (4295) leq(all_38_0_20, all_152_0_162) = all_823_2_870
% 224.17/175.88 |
% 224.17/175.88 | From (2710)(3170) and (4295) follows:
% 224.17/175.88 | (4296) leq(all_0_2_2, all_26_0_19) = all_823_2_870
% 224.17/175.88 |
% 224.17/175.88 | Instantiating formula (28) with all_0_2_2, all_26_0_19, 0, all_823_2_870 and discharging atoms leq(all_0_2_2, all_26_0_19) = all_823_2_870, leq(all_0_2_2, all_26_0_19) = 0, yields:
% 224.17/175.88 | (4297) all_823_2_870 = 0
% 224.17/175.88 |
% 224.17/175.88 | Equations (4297) can reduce 4294 to:
% 224.17/175.88 | (56) $false
% 224.17/175.88 |
% 224.17/175.88 |-The branch is then unsatisfiable
% 224.17/175.88 |-Branch two:
% 224.17/175.88 | (4299) ~ (all_632_2_626 = 0) & leq(all_20_0_17, all_26_0_19) = all_632_2_626
% 224.17/175.88 |
% 224.17/175.88 | Applying alpha-rule on (4299) yields:
% 224.17/175.88 | (4300) ~ (all_632_2_626 = 0)
% 224.17/175.88 | (4301) leq(all_20_0_17, all_26_0_19) = all_632_2_626
% 224.17/175.88 |
% 224.17/175.88 | From (3460) and (4301) follows:
% 224.17/175.88 | (4302) leq(all_0_2_2, all_26_0_19) = all_632_2_626
% 224.17/175.88 |
% 224.17/175.88 | Instantiating formula (28) with all_0_2_2, all_26_0_19, 0, all_632_2_626 and discharging atoms leq(all_0_2_2, all_26_0_19) = all_632_2_626, leq(all_0_2_2, all_26_0_19) = 0, yields:
% 224.17/175.88 | (4303) all_632_2_626 = 0
% 224.17/175.88 |
% 224.17/175.88 | Equations (4303) can reduce 4300 to:
% 224.17/175.88 | (56) $false
% 224.17/175.88 |
% 224.17/175.88 |-The branch is then unsatisfiable
% 224.17/175.88 |-Branch two:
% 224.17/175.88 | (4305) ~ (all_1174_2_1287 = 0) & leq(all_20_0_17, all_155_0_166) = all_1174_2_1287
% 224.17/175.88 |
% 224.17/175.88 | Applying alpha-rule on (4305) yields:
% 224.17/175.88 | (4306) ~ (all_1174_2_1287 = 0)
% 224.17/175.88 | (4307) leq(all_20_0_17, all_155_0_166) = all_1174_2_1287
% 224.17/175.88 |
% 224.17/175.88 | From (3460)(3539) and (4307) follows:
% 224.17/175.88 | (4308) leq(all_0_2_2, all_26_0_19) = all_1174_2_1287
% 224.17/175.88 |
% 224.17/175.88 | Instantiating formula (28) with all_0_2_2, all_26_0_19, 0, all_1174_2_1287 and discharging atoms leq(all_0_2_2, all_26_0_19) = all_1174_2_1287, leq(all_0_2_2, all_26_0_19) = 0, yields:
% 224.17/175.88 | (4309) all_1174_2_1287 = 0
% 224.17/175.88 |
% 224.17/175.88 | Equations (4309) can reduce 4306 to:
% 224.17/175.88 | (56) $false
% 224.17/175.88 |
% 224.17/175.88 |-The branch is then unsatisfiable
% 224.17/175.89 |-Branch two:
% 224.17/175.89 | (4311) ~ (all_2316_2_13654 = 0) & leq(all_82_1_53, all_82_1_53) = all_2316_2_13654
% 224.17/175.89 |
% 224.17/175.89 | Applying alpha-rule on (4311) yields:
% 224.17/175.89 | (4312) ~ (all_2316_2_13654 = 0)
% 224.17/175.89 | (4313) leq(all_82_1_53, all_82_1_53) = all_2316_2_13654
% 224.17/175.89 |
% 224.17/175.89 | Instantiating formula (28) with all_82_1_53, all_82_1_53, 0, all_2316_2_13654 and discharging atoms leq(all_82_1_53, all_82_1_53) = all_2316_2_13654, leq(all_82_1_53, all_82_1_53) = 0, yields:
% 224.17/175.89 | (4314) all_2316_2_13654 = 0
% 224.17/175.89 |
% 224.17/175.89 | Equations (4314) can reduce 4312 to:
% 224.17/175.89 | (56) $false
% 224.17/175.89 |
% 224.17/175.89 |-The branch is then unsatisfiable
% 224.17/175.89 |-Branch two:
% 224.17/175.89 | (4316) ~ (all_500_2_482 = 0) & leq(all_0_2_2, all_26_0_19) = all_500_2_482
% 224.17/175.89 |
% 224.17/175.89 | Applying alpha-rule on (4316) yields:
% 224.17/175.89 | (4317) ~ (all_500_2_482 = 0)
% 224.17/175.89 | (4318) leq(all_0_2_2, all_26_0_19) = all_500_2_482
% 224.17/175.89 |
% 224.17/175.89 | Instantiating formula (28) with all_0_2_2, all_26_0_19, 0, all_500_2_482 and discharging atoms leq(all_0_2_2, all_26_0_19) = all_500_2_482, leq(all_0_2_2, all_26_0_19) = 0, yields:
% 224.17/175.89 | (4319) all_500_2_482 = 0
% 224.17/175.89 |
% 224.17/175.89 | Equations (4319) can reduce 4317 to:
% 224.17/175.89 | (56) $false
% 224.17/175.89 |
% 224.17/175.89 |-The branch is then unsatisfiable
% 224.17/175.89 |-Branch two:
% 224.17/175.89 | (4321) ~ (all_651_2_648 = 0) & leq(one, all_147_0_152) = all_651_2_648
% 224.17/175.89 |
% 224.17/175.89 | Applying alpha-rule on (4321) yields:
% 224.17/175.89 | (4322) ~ (all_651_2_648 = 0)
% 224.17/175.89 | (4323) leq(one, all_147_0_152) = all_651_2_648
% 224.17/175.89 |
% 224.17/175.89 | From (2719) and (4323) follows:
% 224.17/175.89 | (4324) leq(one, all_44_0_29) = all_651_2_648
% 224.17/175.89 |
% 224.17/175.89 | Instantiating formula (28) with one, all_44_0_29, 0, all_651_2_648 and discharging atoms leq(one, all_44_0_29) = all_651_2_648, leq(one, all_44_0_29) = 0, yields:
% 224.17/175.89 | (4325) all_651_2_648 = 0
% 224.17/175.89 |
% 224.17/175.89 | Equations (4325) can reduce 4322 to:
% 224.17/175.89 | (56) $false
% 224.17/175.89 |
% 224.17/175.89 |-The branch is then unsatisfiable
% 224.17/175.89 |-Branch two:
% 224.17/175.89 | (4327) ~ (all_942_2_1003 = 0) & leq(all_20_1_18, all_44_0_29) = all_942_2_1003
% 224.17/175.89 |
% 224.17/175.89 | Applying alpha-rule on (4327) yields:
% 224.17/175.89 | (4328) ~ (all_942_2_1003 = 0)
% 224.17/175.89 | (4329) leq(all_20_1_18, all_44_0_29) = all_942_2_1003
% 224.17/175.89 |
% 224.17/175.89 | From (1658) and (4329) follows:
% 224.17/175.89 | (4330) leq(one, all_44_0_29) = all_942_2_1003
% 224.17/175.89 |
% 224.17/175.89 | Instantiating formula (28) with one, all_44_0_29, 0, all_942_2_1003 and discharging atoms leq(one, all_44_0_29) = all_942_2_1003, leq(one, all_44_0_29) = 0, yields:
% 224.17/175.89 | (4331) all_942_2_1003 = 0
% 224.17/175.89 |
% 224.17/175.89 | Equations (4331) can reduce 4328 to:
% 224.17/175.89 | (56) $false
% 224.17/175.89 |
% 224.17/175.89 |-The branch is then unsatisfiable
% 224.17/175.89 |-Branch two:
% 224.17/175.89 | (4333) ~ (all_150_2_158 = 0) & leq(all_0_2_2, all_26_0_19) = all_150_2_158
% 224.17/175.89 |
% 224.17/175.89 | Applying alpha-rule on (4333) yields:
% 224.17/175.89 | (4334) ~ (all_150_2_158 = 0)
% 224.17/175.89 | (4335) leq(all_0_2_2, all_26_0_19) = all_150_2_158
% 224.17/175.89 |
% 224.17/175.89 | Instantiating formula (7) with all_150_2_158, all_26_0_19, all_0_2_2 and discharging atoms leq(all_0_2_2, all_26_0_19) = all_150_2_158, yields:
% 224.17/175.89 | (4336) all_150_2_158 = 0 | ? [v0] : ( ~ (v0 = all_26_0_19) & addition(all_0_2_2, all_26_0_19) = v0)
% 224.17/175.89 |
% 224.17/175.89 | Instantiating formula (35) with all_150_2_158, all_0_2_2, one, all_26_0_19, all_0_2_2, one and discharging atoms leq(all_0_2_2, all_26_0_19) = all_150_2_158, star(one) = one, multiplication(all_0_2_2, one) = all_0_2_2, yields:
% 224.17/175.89 | (4337) all_150_2_158 = 0 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = 0) & leq(v1, all_26_0_19) = v2 & multiplication(all_26_0_19, one) = v0 & addition(v0, all_0_2_2) = v1)
% 224.17/175.89 |
% 224.17/175.89 | Instantiating formula (5) with all_150_2_158, all_0_2_2, one, all_26_0_19, all_0_2_2, one and discharging atoms leq(all_0_2_2, all_26_0_19) = all_150_2_158, star(one) = one, multiplication(one, all_0_2_2) = all_0_2_2, yields:
% 224.17/175.89 | (4338) all_150_2_158 = 0 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = 0) & leq(v1, all_26_0_19) = v2 & multiplication(one, all_26_0_19) = v0 & addition(v0, all_0_2_2) = v1)
% 224.17/175.89 |
% 224.17/175.89 | Instantiating formula (16) with all_26_0_19, all_0_2_2 and discharging atoms addition(all_0_2_2, all_26_0_19) = all_26_0_19, yields:
% 224.17/175.89 | (3653) leq(all_0_2_2, all_26_0_19) = 0
% 224.17/175.89 |
% 224.17/175.89 +-Applying beta-rule and splitting (4336), into two cases.
% 224.17/175.89 |-Branch one:
% 224.17/175.89 | (4340) all_150_2_158 = 0
% 224.17/175.89 |
% 224.17/175.89 | Equations (4340) can reduce 4334 to:
% 224.17/175.89 | (56) $false
% 224.17/175.89 |
% 224.17/175.89 |-The branch is then unsatisfiable
% 224.17/175.89 |-Branch two:
% 224.17/175.89 | (4334) ~ (all_150_2_158 = 0)
% 224.17/175.89 | (4343) ? [v0] : ( ~ (v0 = all_26_0_19) & addition(all_0_2_2, all_26_0_19) = v0)
% 224.17/175.89 |
% 224.17/175.89 +-Applying beta-rule and splitting (4338), into two cases.
% 224.17/175.89 |-Branch one:
% 224.17/175.89 | (4340) all_150_2_158 = 0
% 224.17/175.89 |
% 224.17/175.89 | Equations (4340) can reduce 4334 to:
% 224.17/175.89 | (56) $false
% 224.17/175.89 |
% 224.17/175.89 |-The branch is then unsatisfiable
% 224.17/175.89 |-Branch two:
% 224.17/175.89 | (4334) ~ (all_150_2_158 = 0)
% 224.17/175.89 | (4347) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = 0) & leq(v1, all_26_0_19) = v2 & multiplication(one, all_26_0_19) = v0 & addition(v0, all_0_2_2) = v1)
% 224.17/175.89 |
% 224.17/175.89 +-Applying beta-rule and splitting (4337), into two cases.
% 224.17/175.89 |-Branch one:
% 224.17/175.89 | (4340) all_150_2_158 = 0
% 224.17/175.89 |
% 224.17/175.89 | Equations (4340) can reduce 4334 to:
% 224.17/175.89 | (56) $false
% 224.17/175.89 |
% 224.17/175.89 |-The branch is then unsatisfiable
% 224.17/175.89 |-Branch two:
% 224.17/175.89 | (4334) ~ (all_150_2_158 = 0)
% 224.17/175.89 | (4351) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = 0) & leq(v1, all_26_0_19) = v2 & multiplication(all_26_0_19, one) = v0 & addition(v0, all_0_2_2) = v1)
% 224.17/175.89 |
% 224.17/175.89 | Instantiating formula (28) with all_0_2_2, all_26_0_19, 0, all_150_2_158 and discharging atoms leq(all_0_2_2, all_26_0_19) = all_150_2_158, leq(all_0_2_2, all_26_0_19) = 0, yields:
% 224.17/175.89 | (4340) all_150_2_158 = 0
% 224.17/175.89 |
% 224.17/175.89 | Equations (4340) can reduce 4334 to:
% 224.17/175.89 | (56) $false
% 224.17/175.89 |
% 224.17/175.89 |-The branch is then unsatisfiable
% 224.17/175.90 |-Branch two:
% 224.17/175.90 | (4354) ~ (all_1075_2_1146 = 0) & leq(all_20_0_17, all_0_2_2) = all_1075_2_1146
% 224.17/175.90 |
% 224.17/175.90 | Applying alpha-rule on (4354) yields:
% 224.17/175.90 | (4355) ~ (all_1075_2_1146 = 0)
% 224.17/175.90 | (4356) leq(all_20_0_17, all_0_2_2) = all_1075_2_1146
% 224.17/175.90 |
% 224.17/175.90 | From (3460) and (4356) follows:
% 224.17/175.90 | (4357) leq(all_0_2_2, all_0_2_2) = all_1075_2_1146
% 224.17/175.90 |
% 224.17/175.90 | Instantiating formula (28) with all_0_2_2, all_0_2_2, all_1075_2_1146, 0 and discharging atoms leq(all_0_2_2, all_0_2_2) = all_1075_2_1146, leq(all_0_2_2, all_0_2_2) = 0, yields:
% 224.17/175.90 | (4358) all_1075_2_1146 = 0
% 224.17/175.90 |
% 224.17/175.90 | Equations (4358) can reduce 4355 to:
% 224.17/175.90 | (56) $false
% 224.17/175.90 |
% 224.17/175.90 |-The branch is then unsatisfiable
% 224.17/175.90 |-Branch two:
% 224.17/175.90 | (4360) ~ (all_173_2_189 = 0) & leq(all_20_0_17, all_0_2_2) = all_173_2_189
% 224.17/175.90 |
% 224.17/175.90 | Applying alpha-rule on (4360) yields:
% 224.17/175.90 | (4361) ~ (all_173_2_189 = 0)
% 224.17/175.90 | (4362) leq(all_20_0_17, all_0_2_2) = all_173_2_189
% 224.17/175.90 |
% 224.17/175.90 | From (3460) and (4362) follows:
% 224.17/175.90 | (4363) leq(all_0_2_2, all_0_2_2) = all_173_2_189
% 224.17/175.90 |
% 224.17/175.90 | Instantiating formula (28) with all_0_2_2, all_0_2_2, all_173_2_189, 0 and discharging atoms leq(all_0_2_2, all_0_2_2) = all_173_2_189, leq(all_0_2_2, all_0_2_2) = 0, yields:
% 224.17/175.90 | (4364) all_173_2_189 = 0
% 224.17/175.90 |
% 224.17/175.90 | Equations (4364) can reduce 4361 to:
% 224.17/175.90 | (56) $false
% 224.17/175.90 |
% 224.17/175.90 |-The branch is then unsatisfiable
% 224.17/175.90 |-Branch two:
% 224.17/175.90 | (4366) ~ (all_702_2_712 = 0) & leq(all_20_0_17, all_38_0_20) = all_702_2_712
% 224.17/175.90 |
% 224.17/175.90 | Applying alpha-rule on (4366) yields:
% 224.17/175.90 | (4367) ~ (all_702_2_712 = 0)
% 224.17/175.90 | (4368) leq(all_20_0_17, all_38_0_20) = all_702_2_712
% 224.17/175.90 |
% 224.17/175.90 | From (3460)(2710) and (4368) follows:
% 224.17/175.90 | (4369) leq(all_0_2_2, all_0_2_2) = all_702_2_712
% 224.17/175.90 |
% 224.17/175.90 | Instantiating formula (28) with all_0_2_2, all_0_2_2, all_702_2_712, 0 and discharging atoms leq(all_0_2_2, all_0_2_2) = all_702_2_712, leq(all_0_2_2, all_0_2_2) = 0, yields:
% 224.17/175.90 | (4370) all_702_2_712 = 0
% 224.17/175.90 |
% 224.17/175.90 | Equations (4370) can reduce 4367 to:
% 224.17/175.90 | (56) $false
% 224.17/175.90 |
% 224.17/175.90 |-The branch is then unsatisfiable
% 224.17/175.90 |-Branch two:
% 224.17/175.90 | (4372) ~ (all_125_2_117 = 0) & leq(all_20_0_17, all_38_0_20) = all_125_2_117
% 224.17/175.90 |
% 224.17/175.90 | Applying alpha-rule on (4372) yields:
% 224.17/175.90 | (4373) ~ (all_125_2_117 = 0)
% 224.17/175.90 | (4374) leq(all_20_0_17, all_38_0_20) = all_125_2_117
% 224.17/175.90 |
% 224.17/175.90 | From (3460)(2710) and (4374) follows:
% 224.17/175.90 | (4375) leq(all_0_2_2, all_0_2_2) = all_125_2_117
% 224.17/175.90 |
% 224.17/175.90 | Instantiating formula (28) with all_0_2_2, all_0_2_2, all_125_2_117, 0 and discharging atoms leq(all_0_2_2, all_0_2_2) = all_125_2_117, leq(all_0_2_2, all_0_2_2) = 0, yields:
% 224.17/175.90 | (4376) all_125_2_117 = 0
% 224.17/175.90 |
% 224.17/175.90 | Equations (4376) can reduce 4373 to:
% 224.17/175.90 | (56) $false
% 224.17/175.90 |
% 224.17/175.90 |-The branch is then unsatisfiable
% 224.17/175.90 |-Branch two:
% 224.17/175.90 | (4378) ~ (all_154_2_165 = 0) & leq(all_20_0_17, all_0_2_2) = all_154_2_165
% 224.17/175.90 |
% 224.17/175.90 | Applying alpha-rule on (4378) yields:
% 224.17/175.90 | (4379) ~ (all_154_2_165 = 0)
% 224.17/175.90 | (4380) leq(all_20_0_17, all_0_2_2) = all_154_2_165
% 224.17/175.90 |
% 224.17/175.90 | From (3460) and (4380) follows:
% 224.17/175.90 | (4381) leq(all_0_2_2, all_0_2_2) = all_154_2_165
% 224.17/175.90 |
% 224.17/175.90 | Instantiating formula (28) with all_0_2_2, all_0_2_2, all_154_2_165, 0 and discharging atoms leq(all_0_2_2, all_0_2_2) = all_154_2_165, leq(all_0_2_2, all_0_2_2) = 0, yields:
% 224.17/175.90 | (4382) all_154_2_165 = 0
% 224.17/175.90 |
% 224.17/175.90 | Equations (4382) can reduce 4379 to:
% 224.17/175.90 | (56) $false
% 224.17/175.90 |
% 224.17/175.90 |-The branch is then unsatisfiable
% 224.17/175.90 |-Branch two:
% 224.17/175.90 | (4384) ~ (all_701_2_709 = 0) & leq(all_20_0_17, all_0_2_2) = all_701_2_709
% 224.17/175.90 |
% 224.17/175.90 | Applying alpha-rule on (4384) yields:
% 224.17/175.90 | (4385) ~ (all_701_2_709 = 0)
% 224.17/175.90 | (4386) leq(all_20_0_17, all_0_2_2) = all_701_2_709
% 224.17/175.90 |
% 224.17/175.90 | From (3460) and (4386) follows:
% 224.17/175.90 | (4387) leq(all_0_2_2, all_0_2_2) = all_701_2_709
% 224.17/175.90 |
% 224.17/175.90 | Instantiating formula (28) with all_0_2_2, all_0_2_2, all_701_2_709, 0 and discharging atoms leq(all_0_2_2, all_0_2_2) = all_701_2_709, leq(all_0_2_2, all_0_2_2) = 0, yields:
% 224.17/175.90 | (4388) all_701_2_709 = 0
% 224.17/175.90 |
% 224.17/175.90 | Equations (4388) can reduce 4385 to:
% 224.17/175.90 | (56) $false
% 224.17/175.90 |
% 224.17/175.90 |-The branch is then unsatisfiable
% 224.17/175.90 |-Branch two:
% 224.17/175.90 | (4390) ~ (all_667_2_677 = 0) & leq(all_20_0_17, all_0_2_2) = all_667_2_677
% 224.17/175.90 |
% 224.17/175.90 | Applying alpha-rule on (4390) yields:
% 224.17/175.90 | (4391) ~ (all_667_2_677 = 0)
% 224.17/175.90 | (4392) leq(all_20_0_17, all_0_2_2) = all_667_2_677
% 224.17/175.90 |
% 224.17/175.90 | From (3460) and (4392) follows:
% 224.17/175.91 | (4393) leq(all_0_2_2, all_0_2_2) = all_667_2_677
% 224.17/175.91 |
% 224.17/175.91 | Instantiating formula (28) with all_0_2_2, all_0_2_2, all_667_2_677, 0 and discharging atoms leq(all_0_2_2, all_0_2_2) = all_667_2_677, leq(all_0_2_2, all_0_2_2) = 0, yields:
% 224.17/175.91 | (4394) all_667_2_677 = 0
% 224.17/175.91 |
% 224.17/175.91 | Equations (4394) can reduce 4391 to:
% 224.17/175.91 | (56) $false
% 224.17/175.91 |
% 224.17/175.91 |-The branch is then unsatisfiable
% 224.17/175.91 |-Branch two:
% 224.17/175.91 | (4396) ~ (all_20_0_17 = all_0_2_2)
% 224.17/175.91 | (4397) ? [v0] : ( ~ (v0 = 0) & leq(all_20_1_18, all_20_0_17) = v0)
% 224.17/175.91 |
% 224.17/175.91 | Instantiating (4397) with all_1740_0_14884 yields:
% 224.17/175.91 | (4398) ~ (all_1740_0_14884 = 0) & leq(all_20_1_18, all_20_0_17) = all_1740_0_14884
% 224.17/175.91 |
% 224.17/175.91 | Applying alpha-rule on (4398) yields:
% 224.17/175.91 | (4399) ~ (all_1740_0_14884 = 0)
% 224.17/175.91 | (4400) leq(all_20_1_18, all_20_0_17) = all_1740_0_14884
% 224.17/175.91 |
% 224.17/175.91 | From (1658) and (4400) follows:
% 224.17/175.91 | (4401) leq(one, all_20_0_17) = all_1740_0_14884
% 224.17/175.91 |
% 224.17/175.91 | Instantiating formula (28) with one, all_20_0_17, 0, all_1740_0_14884 and discharging atoms leq(one, all_20_0_17) = all_1740_0_14884, leq(one, all_20_0_17) = 0, yields:
% 224.17/175.91 | (4402) all_1740_0_14884 = 0
% 224.17/175.91 |
% 224.17/175.91 | Equations (4402) can reduce 4399 to:
% 224.17/175.91 | (56) $false
% 224.17/175.91 |
% 224.17/175.91 |-The branch is then unsatisfiable
% 224.17/175.91 |-Branch two:
% 224.17/175.91 | (4404) ~ (all_839_2_889 = 0) & leq(all_38_0_20, all_20_0_17) = all_839_2_889
% 224.17/175.91 |
% 224.17/175.91 | Applying alpha-rule on (4404) yields:
% 224.17/175.91 | (4405) ~ (all_839_2_889 = 0)
% 224.17/175.91 | (4406) leq(all_38_0_20, all_20_0_17) = all_839_2_889
% 224.17/175.91 |
% 224.17/175.91 | From (2710) and (4406) follows:
% 224.17/175.91 | (4407) leq(all_0_2_2, all_20_0_17) = all_839_2_889
% 224.17/175.91 |
% 224.17/175.91 | Instantiating formula (28) with all_0_2_2, all_20_0_17, 0, all_839_2_889 and discharging atoms leq(all_0_2_2, all_20_0_17) = all_839_2_889, leq(all_0_2_2, all_20_0_17) = 0, yields:
% 224.17/175.91 | (4408) all_839_2_889 = 0
% 224.17/175.91 |
% 224.17/175.91 | Equations (4408) can reduce 4405 to:
% 224.17/175.91 | (56) $false
% 224.17/175.91 |
% 224.17/175.91 |-The branch is then unsatisfiable
% 224.17/175.91 |-Branch two:
% 224.17/175.91 | (4410) ~ (all_303_2_272 = 0) & leq(all_0_2_2, all_20_0_17) = all_303_2_272
% 224.17/175.91 |
% 224.17/175.91 | Applying alpha-rule on (4410) yields:
% 224.17/175.91 | (4411) ~ (all_303_2_272 = 0)
% 224.17/175.91 | (4412) leq(all_0_2_2, all_20_0_17) = all_303_2_272
% 224.17/175.91 |
% 224.17/175.91 | Instantiating formula (28) with all_0_2_2, all_20_0_17, 0, all_303_2_272 and discharging atoms leq(all_0_2_2, all_20_0_17) = all_303_2_272, leq(all_0_2_2, all_20_0_17) = 0, yields:
% 224.17/175.91 | (4413) all_303_2_272 = 0
% 224.17/175.91 |
% 224.17/175.91 | Equations (4413) can reduce 4411 to:
% 224.17/175.91 | (56) $false
% 224.17/175.91 |
% 224.17/175.91 |-The branch is then unsatisfiable
% 224.17/175.91 |-Branch two:
% 224.17/175.91 | (4415) ~ (all_296_2_266 = 0) & leq(all_38_0_20, all_20_0_17) = all_296_2_266
% 224.17/175.91 |
% 224.17/175.91 | Applying alpha-rule on (4415) yields:
% 224.17/175.91 | (4416) ~ (all_296_2_266 = 0)
% 224.17/175.91 | (4417) leq(all_38_0_20, all_20_0_17) = all_296_2_266
% 224.17/175.91 |
% 224.17/175.91 | From (2710) and (4417) follows:
% 224.17/175.91 | (4418) leq(all_0_2_2, all_20_0_17) = all_296_2_266
% 224.17/175.91 |
% 224.17/175.91 | Instantiating formula (28) with all_0_2_2, all_20_0_17, 0, all_296_2_266 and discharging atoms leq(all_0_2_2, all_20_0_17) = all_296_2_266, leq(all_0_2_2, all_20_0_17) = 0, yields:
% 224.17/175.91 | (4419) all_296_2_266 = 0
% 224.17/175.91 |
% 224.17/175.91 | Equations (4419) can reduce 4416 to:
% 224.17/175.91 | (56) $false
% 224.17/175.91 |
% 224.17/175.91 |-The branch is then unsatisfiable
% 224.17/175.91 |-Branch two:
% 224.17/175.91 | (4421) ~ (all_751_2_784 = 0) & leq(all_38_0_20, all_20_0_17) = all_751_2_784
% 224.17/175.91 |
% 224.17/175.91 | Applying alpha-rule on (4421) yields:
% 224.17/175.91 | (4422) ~ (all_751_2_784 = 0)
% 224.17/175.91 | (4423) leq(all_38_0_20, all_20_0_17) = all_751_2_784
% 224.17/175.91 |
% 224.17/175.91 | From (2710) and (4423) follows:
% 224.17/175.91 | (4424) leq(all_0_2_2, all_20_0_17) = all_751_2_784
% 224.17/175.91 |
% 224.17/175.91 | Instantiating formula (28) with all_0_2_2, all_20_0_17, 0, all_751_2_784 and discharging atoms leq(all_0_2_2, all_20_0_17) = all_751_2_784, leq(all_0_2_2, all_20_0_17) = 0, yields:
% 224.17/175.91 | (4425) all_751_2_784 = 0
% 224.17/175.91 |
% 224.17/175.91 | Equations (4425) can reduce 4422 to:
% 224.17/175.91 | (56) $false
% 224.17/175.91 |
% 224.17/175.91 |-The branch is then unsatisfiable
% 224.17/175.91 |-Branch two:
% 224.17/175.91 | (4427) ~ (all_737_2_770 = 0) & leq(zero, all_205_0_233) = all_737_2_770
% 224.17/175.91 |
% 224.17/175.91 | Applying alpha-rule on (4427) yields:
% 224.17/175.91 | (4428) ~ (all_737_2_770 = 0)
% 224.17/175.91 | (4429) leq(zero, all_205_0_233) = all_737_2_770
% 224.17/175.91 |
% 224.17/175.91 | From (2270) and (4429) follows:
% 224.17/175.91 | (4430) leq(zero, one) = all_737_2_770
% 224.17/175.91 |
% 224.17/175.91 | Instantiating formula (28) with zero, one, 0, all_737_2_770 and discharging atoms leq(zero, one) = all_737_2_770, leq(zero, one) = 0, yields:
% 224.17/175.91 | (4431) all_737_2_770 = 0
% 224.17/175.91 |
% 224.17/175.91 | Equations (4431) can reduce 4428 to:
% 224.17/175.91 | (56) $false
% 224.17/175.91 |
% 224.17/175.91 |-The branch is then unsatisfiable
% 224.17/175.91 |-Branch two:
% 224.17/175.91 | (4433) ~ (all_665_2_671 = 0) & leq(all_0_2_2, all_20_0_17) = all_665_2_671
% 224.17/175.91 |
% 224.17/175.91 | Applying alpha-rule on (4433) yields:
% 224.17/175.91 | (4434) ~ (all_665_2_671 = 0)
% 224.17/175.92 | (4435) leq(all_0_2_2, all_20_0_17) = all_665_2_671
% 224.17/175.92 |
% 224.17/175.92 | Instantiating formula (28) with all_0_2_2, all_20_0_17, 0, all_665_2_671 and discharging atoms leq(all_0_2_2, all_20_0_17) = all_665_2_671, leq(all_0_2_2, all_20_0_17) = 0, yields:
% 224.17/175.92 | (4436) all_665_2_671 = 0
% 224.17/175.92 |
% 224.17/175.92 | Equations (4436) can reduce 4434 to:
% 224.17/175.92 | (56) $false
% 224.17/175.92 |
% 224.17/175.92 |-The branch is then unsatisfiable
% 224.17/175.92 |-Branch two:
% 224.17/175.92 | (4438) ~ (all_777_2_815 = 0) & leq(all_38_0_20, all_20_0_17) = all_777_2_815
% 224.17/175.92 |
% 224.17/175.92 | Applying alpha-rule on (4438) yields:
% 224.17/175.92 | (4439) ~ (all_777_2_815 = 0)
% 224.17/175.92 | (4440) leq(all_38_0_20, all_20_0_17) = all_777_2_815
% 224.17/175.92 |
% 224.17/175.92 | From (2710) and (4440) follows:
% 224.17/175.92 | (4441) leq(all_0_2_2, all_20_0_17) = all_777_2_815
% 224.17/175.92 |
% 224.17/175.92 | Instantiating formula (28) with all_0_2_2, all_20_0_17, 0, all_777_2_815 and discharging atoms leq(all_0_2_2, all_20_0_17) = all_777_2_815, leq(all_0_2_2, all_20_0_17) = 0, yields:
% 224.17/175.92 | (4442) all_777_2_815 = 0
% 224.17/175.92 |
% 224.17/175.92 | Equations (4442) can reduce 4439 to:
% 224.17/175.92 | (56) $false
% 224.17/175.92 |
% 224.17/175.92 |-The branch is then unsatisfiable
% 224.17/175.92 |-Branch two:
% 224.17/175.92 | (4444) ~ (all_124_2_114 = 0) & leq(all_38_0_20, all_20_0_17) = all_124_2_114
% 224.17/175.92 |
% 224.17/175.92 | Applying alpha-rule on (4444) yields:
% 224.17/175.92 | (4445) ~ (all_124_2_114 = 0)
% 224.17/175.92 | (4446) leq(all_38_0_20, all_20_0_17) = all_124_2_114
% 224.17/175.92 |
% 224.17/175.92 | From (2710) and (4446) follows:
% 224.17/175.92 | (4447) leq(all_0_2_2, all_20_0_17) = all_124_2_114
% 224.17/175.92 |
% 224.17/175.92 | Instantiating formula (28) with all_0_2_2, all_20_0_17, 0, all_124_2_114 and discharging atoms leq(all_0_2_2, all_20_0_17) = all_124_2_114, leq(all_0_2_2, all_20_0_17) = 0, yields:
% 224.17/175.92 | (4448) all_124_2_114 = 0
% 224.17/175.92 |
% 224.17/175.92 | Equations (4448) can reduce 4445 to:
% 224.17/175.92 | (56) $false
% 224.17/175.92 |
% 224.17/175.92 |-The branch is then unsatisfiable
% 224.17/175.92 |-Branch two:
% 224.17/175.92 | (4450) ~ (all_1196_2_1321 = 0) & leq(all_0_2_2, all_20_0_17) = all_1196_2_1321
% 224.17/175.92 |
% 224.17/175.92 | Applying alpha-rule on (4450) yields:
% 224.17/175.92 | (4451) ~ (all_1196_2_1321 = 0)
% 224.17/175.92 | (4452) leq(all_0_2_2, all_20_0_17) = all_1196_2_1321
% 224.17/175.92 |
% 224.17/175.92 | Instantiating formula (28) with all_0_2_2, all_20_0_17, 0, all_1196_2_1321 and discharging atoms leq(all_0_2_2, all_20_0_17) = all_1196_2_1321, leq(all_0_2_2, all_20_0_17) = 0, yields:
% 224.17/175.92 | (4453) all_1196_2_1321 = 0
% 224.17/175.92 |
% 224.17/175.92 | Equations (4453) can reduce 4451 to:
% 224.17/175.92 | (56) $false
% 224.17/175.92 |
% 224.17/175.92 |-The branch is then unsatisfiable
% 224.17/175.92 |-Branch two:
% 224.17/175.92 | (4455) ~ (all_774_2_811 = 0) & leq(all_0_2_2, all_20_0_17) = all_774_2_811
% 224.17/175.92 |
% 224.17/175.92 | Applying alpha-rule on (4455) yields:
% 224.17/175.92 | (4456) ~ (all_774_2_811 = 0)
% 224.17/175.92 | (4457) leq(all_0_2_2, all_20_0_17) = all_774_2_811
% 224.17/175.92 |
% 224.17/175.92 | Instantiating formula (28) with all_0_2_2, all_20_0_17, 0, all_774_2_811 and discharging atoms leq(all_0_2_2, all_20_0_17) = all_774_2_811, leq(all_0_2_2, all_20_0_17) = 0, yields:
% 224.17/175.92 | (4458) all_774_2_811 = 0
% 224.17/175.92 |
% 224.17/175.92 | Equations (4458) can reduce 4456 to:
% 224.17/175.92 | (56) $false
% 224.17/175.92 |
% 224.17/175.92 |-The branch is then unsatisfiable
% 224.17/175.92 |-Branch two:
% 224.17/175.92 | (4460) ~ (all_1168_2_1269 = 0) & leq(zero, all_203_0_232) = all_1168_2_1269
% 224.17/175.92 |
% 224.17/175.92 | Applying alpha-rule on (4460) yields:
% 224.17/175.92 | (4461) ~ (all_1168_2_1269 = 0)
% 224.17/175.92 | (4462) leq(zero, all_203_0_232) = all_1168_2_1269
% 224.17/175.92 |
% 224.17/175.92 | From (2711) and (4462) follows:
% 224.17/175.92 | (4463) leq(zero, one) = all_1168_2_1269
% 224.17/175.92 |
% 224.17/175.92 | Instantiating formula (28) with zero, one, 0, all_1168_2_1269 and discharging atoms leq(zero, one) = all_1168_2_1269, leq(zero, one) = 0, yields:
% 224.17/175.92 | (4464) all_1168_2_1269 = 0
% 224.17/175.92 |
% 224.17/175.92 | Equations (4464) can reduce 4461 to:
% 224.17/175.92 | (56) $false
% 224.17/175.92 |
% 224.17/175.92 |-The branch is then unsatisfiable
% 224.54/175.92 |-Branch two:
% 224.54/175.92 | (4466) ~ (all_819_2_858 = 0) & leq(zero, one) = all_819_2_858
% 224.54/175.92 |
% 224.54/175.92 | Applying alpha-rule on (4466) yields:
% 224.54/175.92 | (4467) ~ (all_819_2_858 = 0)
% 224.54/175.92 | (4468) leq(zero, one) = all_819_2_858
% 224.54/175.92 |
% 224.54/175.92 | Instantiating formula (28) with zero, one, 0, all_819_2_858 and discharging atoms leq(zero, one) = all_819_2_858, leq(zero, one) = 0, yields:
% 224.54/175.92 | (4469) all_819_2_858 = 0
% 224.54/175.92 |
% 224.54/175.92 | Equations (4469) can reduce 4467 to:
% 224.54/175.92 | (56) $false
% 224.54/175.92 |
% 224.54/175.92 |-The branch is then unsatisfiable
% 224.54/175.92 |-Branch two:
% 224.54/175.92 | (4471) ~ (all_1126_2_1219 = 0) & leq(all_49_1_36, one) = all_1126_2_1219
% 224.54/175.92 |
% 224.54/175.92 | Applying alpha-rule on (4471) yields:
% 224.54/175.92 | (4472) ~ (all_1126_2_1219 = 0)
% 224.54/175.92 | (4473) leq(all_49_1_36, one) = all_1126_2_1219
% 224.54/175.92 |
% 224.54/175.92 | From (2667) and (4473) follows:
% 224.54/175.92 | (4474) leq(zero, one) = all_1126_2_1219
% 224.54/175.92 |
% 224.54/175.92 | Instantiating formula (28) with zero, one, 0, all_1126_2_1219 and discharging atoms leq(zero, one) = all_1126_2_1219, leq(zero, one) = 0, yields:
% 224.54/175.92 | (4475) all_1126_2_1219 = 0
% 224.54/175.92 |
% 224.54/175.92 | Equations (4475) can reduce 4472 to:
% 224.54/175.92 | (56) $false
% 224.54/175.92 |
% 224.54/175.92 |-The branch is then unsatisfiable
% 224.54/175.92 |-Branch two:
% 224.54/175.93 | (4477) ~ (all_723_2_748 = 0) & leq(zero, all_205_0_233) = all_723_2_748
% 224.54/175.93 |
% 224.54/175.93 | Applying alpha-rule on (4477) yields:
% 224.54/175.93 | (4478) ~ (all_723_2_748 = 0)
% 224.54/175.93 | (4479) leq(zero, all_205_0_233) = all_723_2_748
% 224.54/175.93 |
% 224.54/175.93 | From (2270) and (4479) follows:
% 224.54/175.93 | (4480) leq(zero, one) = all_723_2_748
% 224.54/175.93 |
% 224.54/175.93 | Instantiating formula (28) with zero, one, 0, all_723_2_748 and discharging atoms leq(zero, one) = all_723_2_748, leq(zero, one) = 0, yields:
% 224.54/175.93 | (4481) all_723_2_748 = 0
% 224.54/175.93 |
% 224.54/175.93 | Equations (4481) can reduce 4478 to:
% 224.54/175.93 | (56) $false
% 224.54/175.93 |
% 224.54/175.93 |-The branch is then unsatisfiable
% 224.54/175.93 |-Branch two:
% 224.54/175.93 | (4483) ~ (all_172_2_186 = 0) & leq(all_0_2_2, all_20_0_17) = all_172_2_186
% 224.54/175.93 |
% 224.54/175.93 | Applying alpha-rule on (4483) yields:
% 224.54/175.93 | (4484) ~ (all_172_2_186 = 0)
% 224.54/175.93 | (4485) leq(all_0_2_2, all_20_0_17) = all_172_2_186
% 224.54/175.93 |
% 224.54/175.93 | Instantiating formula (28) with all_0_2_2, all_20_0_17, 0, all_172_2_186 and discharging atoms leq(all_0_2_2, all_20_0_17) = all_172_2_186, leq(all_0_2_2, all_20_0_17) = 0, yields:
% 224.54/175.93 | (4486) all_172_2_186 = 0
% 224.54/175.93 |
% 224.54/175.93 | Equations (4486) can reduce 4484 to:
% 224.54/175.93 | (56) $false
% 224.54/175.93 |
% 224.54/175.93 |-The branch is then unsatisfiable
% 224.54/175.93 |-Branch two:
% 224.54/175.93 | (4488) ~ (all_1171_2_1278 = 0) & leq(zero, all_203_0_232) = all_1171_2_1278
% 224.54/175.93 |
% 224.54/175.93 | Applying alpha-rule on (4488) yields:
% 224.54/175.93 | (4489) ~ (all_1171_2_1278 = 0)
% 224.54/175.93 | (4490) leq(zero, all_203_0_232) = all_1171_2_1278
% 224.54/175.93 |
% 224.54/175.93 | From (2711) and (4490) follows:
% 224.54/175.93 | (4491) leq(zero, one) = all_1171_2_1278
% 224.54/175.93 |
% 224.54/175.93 | Instantiating formula (28) with zero, one, 0, all_1171_2_1278 and discharging atoms leq(zero, one) = all_1171_2_1278, leq(zero, one) = 0, yields:
% 224.54/175.93 | (4492) all_1171_2_1278 = 0
% 224.54/175.93 |
% 224.54/175.93 | Equations (4492) can reduce 4489 to:
% 224.54/175.93 | (56) $false
% 224.54/175.93 |
% 224.54/175.93 |-The branch is then unsatisfiable
% 224.54/175.93 |-Branch two:
% 224.54/175.93 | (4494) ~ (all_1175_2_1290 = 0) & leq(all_38_0_20, all_20_0_17) = all_1175_2_1290
% 224.54/175.93 |
% 224.54/175.93 | Applying alpha-rule on (4494) yields:
% 224.54/175.93 | (4495) ~ (all_1175_2_1290 = 0)
% 224.54/175.93 | (4496) leq(all_38_0_20, all_20_0_17) = all_1175_2_1290
% 224.54/175.93 |
% 224.54/175.93 | From (2710) and (4496) follows:
% 224.54/175.93 | (4497) leq(all_0_2_2, all_20_0_17) = all_1175_2_1290
% 224.54/175.93 |
% 224.54/175.93 | Instantiating formula (28) with all_0_2_2, all_20_0_17, 0, all_1175_2_1290 and discharging atoms leq(all_0_2_2, all_20_0_17) = all_1175_2_1290, leq(all_0_2_2, all_20_0_17) = 0, yields:
% 224.54/175.93 | (4498) all_1175_2_1290 = 0
% 224.54/175.93 |
% 224.54/175.93 | Equations (4498) can reduce 4495 to:
% 224.54/175.93 | (56) $false
% 224.54/175.93 |
% 224.54/175.93 |-The branch is then unsatisfiable
% 224.54/175.93 |-Branch two:
% 224.54/175.93 | (4500) ~ (all_666_2_674 = 0) & leq(all_0_2_2, all_20_0_17) = all_666_2_674
% 224.54/175.93 |
% 224.54/175.93 | Applying alpha-rule on (4500) yields:
% 224.54/175.93 | (4501) ~ (all_666_2_674 = 0)
% 224.54/175.93 | (4502) leq(all_0_2_2, all_20_0_17) = all_666_2_674
% 224.54/175.93 |
% 224.54/175.93 | Instantiating formula (28) with all_0_2_2, all_20_0_17, 0, all_666_2_674 and discharging atoms leq(all_0_2_2, all_20_0_17) = all_666_2_674, leq(all_0_2_2, all_20_0_17) = 0, yields:
% 224.54/175.93 | (4503) all_666_2_674 = 0
% 224.54/175.93 |
% 224.54/175.93 | Equations (4503) can reduce 4501 to:
% 224.54/175.93 | (56) $false
% 224.54/175.93 |
% 224.54/175.93 |-The branch is then unsatisfiable
% 224.54/175.93 |-Branch two:
% 224.54/175.93 | (4505) ~ (all_555_2_533 = 0) & leq(all_38_0_20, all_0_2_2) = all_555_2_533
% 224.54/175.93 |
% 224.54/175.93 | Applying alpha-rule on (4505) yields:
% 224.54/175.93 | (4506) ~ (all_555_2_533 = 0)
% 224.54/175.93 | (4507) leq(all_38_0_20, all_0_2_2) = all_555_2_533
% 224.54/175.93 |
% 224.54/175.93 | From (2710) and (4507) follows:
% 224.54/175.93 | (4508) leq(all_0_2_2, all_0_2_2) = all_555_2_533
% 224.54/175.93 |
% 224.54/175.93 | Instantiating formula (28) with all_0_2_2, all_0_2_2, all_555_2_533, 0 and discharging atoms leq(all_0_2_2, all_0_2_2) = all_555_2_533, leq(all_0_2_2, all_0_2_2) = 0, yields:
% 224.54/175.93 | (4509) all_555_2_533 = 0
% 224.54/175.93 |
% 224.54/175.93 | Equations (4509) can reduce 4506 to:
% 224.54/175.93 | (56) $false
% 224.54/175.93 |
% 224.54/175.93 |-The branch is then unsatisfiable
% 224.54/175.93 |-Branch two:
% 224.54/175.93 | (4511) ~ (all_953_2_1026 = 0) & leq(all_85_0_61, one) = all_953_2_1026
% 224.54/175.93 |
% 224.54/175.93 | Applying alpha-rule on (4511) yields:
% 224.54/175.93 | (4512) ~ (all_953_2_1026 = 0)
% 224.54/175.93 | (4513) leq(all_85_0_61, one) = all_953_2_1026
% 224.54/175.93 |
% 224.54/175.93 | From (2713) and (4513) follows:
% 224.54/175.93 | (4514) leq(one, one) = all_953_2_1026
% 224.54/175.93 |
% 224.54/175.93 | Instantiating formula (28) with one, one, all_953_2_1026, 0 and discharging atoms leq(one, one) = all_953_2_1026, leq(one, one) = 0, yields:
% 224.54/175.93 | (4515) all_953_2_1026 = 0
% 224.54/175.93 |
% 224.54/175.93 | Equations (4515) can reduce 4512 to:
% 224.54/175.93 | (56) $false
% 224.54/175.93 |
% 224.54/175.93 |-The branch is then unsatisfiable
% 224.54/175.93 |-Branch two:
% 224.54/175.94 | (4517) ~ (all_465_2_452 = 0) & leq(zero, all_38_0_20) = all_465_2_452
% 224.54/175.94 |
% 224.54/175.94 | Applying alpha-rule on (4517) yields:
% 224.54/175.94 | (4518) ~ (all_465_2_452 = 0)
% 224.54/175.94 | (4519) leq(zero, all_38_0_20) = all_465_2_452
% 224.54/175.94 |
% 224.54/175.94 | From (2710) and (4519) follows:
% 224.54/175.94 | (4520) leq(zero, all_0_2_2) = all_465_2_452
% 224.54/175.94 |
% 224.54/175.94 | Instantiating formula (28) with zero, all_0_2_2, 0, all_465_2_452 and discharging atoms leq(zero, all_0_2_2) = all_465_2_452, leq(zero, all_0_2_2) = 0, yields:
% 224.54/175.94 | (4521) all_465_2_452 = 0
% 224.54/175.94 |
% 224.54/175.94 | Equations (4521) can reduce 4518 to:
% 224.54/175.94 | (56) $false
% 224.54/175.94 |
% 224.54/175.94 |-The branch is then unsatisfiable
% 224.54/175.94 |-Branch two:
% 224.54/175.94 | (4523) ~ (all_456_2_433 = 0) & leq(one, all_38_0_20) = all_456_2_433
% 224.54/175.94 |
% 224.54/175.94 | Applying alpha-rule on (4523) yields:
% 224.54/175.94 | (4524) ~ (all_456_2_433 = 0)
% 224.54/175.94 | (4525) leq(one, all_38_0_20) = all_456_2_433
% 224.54/175.94 |
% 224.54/175.94 | From (2710) and (4525) follows:
% 224.54/175.94 | (4526) leq(one, all_0_2_2) = all_456_2_433
% 224.54/175.94 |
% 224.54/175.94 | Instantiating formula (28) with one, all_0_2_2, all_456_2_433, 0 and discharging atoms leq(one, all_0_2_2) = all_456_2_433, leq(one, all_0_2_2) = 0, yields:
% 224.54/175.94 | (4527) all_456_2_433 = 0
% 224.54/175.94 |
% 224.54/175.94 | Equations (4527) can reduce 4524 to:
% 224.54/175.94 | (56) $false
% 224.54/175.94 |
% 224.54/175.94 |-The branch is then unsatisfiable
% 224.54/175.94 |-Branch two:
% 224.54/175.94 | (4529) ~ (all_965_2_1038 = 0) & leq(all_85_0_61, all_20_1_18) = all_965_2_1038
% 224.54/175.94 |
% 224.54/175.94 | Applying alpha-rule on (4529) yields:
% 224.54/175.94 | (4530) ~ (all_965_2_1038 = 0)
% 224.54/175.94 | (4531) leq(all_85_0_61, all_20_1_18) = all_965_2_1038
% 224.54/175.94 |
% 224.54/175.94 | From (2713)(1658) and (4531) follows:
% 224.54/175.94 | (4532) leq(one, one) = all_965_2_1038
% 224.54/175.94 |
% 224.54/175.94 | Instantiating formula (28) with one, one, all_965_2_1038, 0 and discharging atoms leq(one, one) = all_965_2_1038, leq(one, one) = 0, yields:
% 224.54/175.94 | (4533) all_965_2_1038 = 0
% 224.54/175.94 |
% 224.54/175.94 | Equations (4533) can reduce 4530 to:
% 224.54/175.94 | (56) $false
% 224.54/175.94 |
% 224.54/175.94 |-The branch is then unsatisfiable
% 224.54/175.94 |-Branch two:
% 224.54/175.94 | (4535) ~ (all_949_2_1019 = 0) & leq(all_85_0_61, one) = all_949_2_1019
% 224.54/175.94 |
% 224.54/175.94 | Applying alpha-rule on (4535) yields:
% 224.54/175.94 | (4536) ~ (all_949_2_1019 = 0)
% 224.54/175.94 | (4537) leq(all_85_0_61, one) = all_949_2_1019
% 224.54/175.94 |
% 224.54/175.94 | From (2713) and (4537) follows:
% 224.54/175.94 | (4538) leq(one, one) = all_949_2_1019
% 224.54/175.94 |
% 224.54/175.94 | Instantiating formula (28) with one, one, all_949_2_1019, 0 and discharging atoms leq(one, one) = all_949_2_1019, leq(one, one) = 0, yields:
% 224.54/175.94 | (4539) all_949_2_1019 = 0
% 224.54/175.94 |
% 224.54/175.94 | Equations (4539) can reduce 4536 to:
% 224.54/175.94 | (56) $false
% 224.54/175.94 |
% 224.54/175.94 |-The branch is then unsatisfiable
% 224.54/175.94 |-Branch two:
% 224.54/175.94 | (4541) ~ (all_664_2_668 = 0) & leq(all_38_0_20, all_38_0_20) = all_664_2_668
% 224.54/175.94 |
% 224.54/175.94 | Applying alpha-rule on (4541) yields:
% 224.54/175.94 | (4542) ~ (all_664_2_668 = 0)
% 224.54/175.94 | (4543) leq(all_38_0_20, all_38_0_20) = all_664_2_668
% 224.54/175.94 |
% 224.54/175.94 | From (2710)(2710) and (4543) follows:
% 224.54/175.94 | (4544) leq(all_0_2_2, all_0_2_2) = all_664_2_668
% 224.54/175.94 |
% 224.54/175.94 | Instantiating formula (28) with all_0_2_2, all_0_2_2, all_664_2_668, 0 and discharging atoms leq(all_0_2_2, all_0_2_2) = all_664_2_668, leq(all_0_2_2, all_0_2_2) = 0, yields:
% 224.54/175.94 | (4545) all_664_2_668 = 0
% 224.54/175.94 |
% 224.54/175.94 | Equations (4545) can reduce 4542 to:
% 224.54/175.94 | (56) $false
% 224.54/175.94 |
% 224.54/175.94 |-The branch is then unsatisfiable
% 224.54/175.94 |-Branch two:
% 224.54/175.94 | (4547) ~ (all_608_2_593 = 0) & leq(all_20_1_18, all_85_0_61) = all_608_2_593
% 224.54/175.94 |
% 224.54/175.94 | Applying alpha-rule on (4547) yields:
% 224.54/175.94 | (4548) ~ (all_608_2_593 = 0)
% 224.54/175.94 | (4549) leq(all_20_1_18, all_85_0_61) = all_608_2_593
% 224.54/175.94 |
% 224.54/175.94 | From (1658)(2713) and (4549) follows:
% 224.54/175.94 | (4550) leq(one, one) = all_608_2_593
% 224.54/175.94 |
% 224.54/175.94 | Instantiating formula (28) with one, one, all_608_2_593, 0 and discharging atoms leq(one, one) = all_608_2_593, leq(one, one) = 0, yields:
% 224.54/175.94 | (4551) all_608_2_593 = 0
% 224.54/175.94 |
% 224.54/175.94 | Equations (4551) can reduce 4548 to:
% 224.54/175.94 | (56) $false
% 224.54/175.94 |
% 224.54/175.94 |-The branch is then unsatisfiable
% 224.54/175.94 |-Branch two:
% 224.54/175.94 | (4553) ~ (all_812_2_847 = 0) & leq(all_49_1_36, zero) = all_812_2_847
% 224.54/175.94 |
% 224.54/175.94 | Applying alpha-rule on (4553) yields:
% 224.54/175.94 | (4554) ~ (all_812_2_847 = 0)
% 224.54/175.94 | (4555) leq(all_49_1_36, zero) = all_812_2_847
% 224.54/175.94 |
% 224.54/175.94 | From (2667) and (4555) follows:
% 224.54/175.95 | (4556) leq(zero, zero) = all_812_2_847
% 224.54/175.95 |
% 224.54/175.95 | Instantiating formula (28) with zero, zero, all_812_2_847, 0 and discharging atoms leq(zero, zero) = all_812_2_847, leq(zero, zero) = 0, yields:
% 224.54/175.95 | (4557) all_812_2_847 = 0
% 224.54/175.95 |
% 224.54/175.95 | Equations (4557) can reduce 4554 to:
% 224.54/175.95 | (56) $false
% 224.54/175.95 |
% 224.54/175.95 |-The branch is then unsatisfiable
% 224.54/175.95 |-Branch two:
% 224.54/175.95 | (4559) ~ (all_333_2_301 = 0) & leq(zero, all_0_2_2) = all_333_2_301
% 224.54/175.95 |
% 224.54/175.95 | Applying alpha-rule on (4559) yields:
% 224.54/175.95 | (4560) ~ (all_333_2_301 = 0)
% 224.54/175.95 | (4561) leq(zero, all_0_2_2) = all_333_2_301
% 224.54/175.95 |
% 224.54/175.95 | Instantiating formula (28) with zero, all_0_2_2, 0, all_333_2_301 and discharging atoms leq(zero, all_0_2_2) = all_333_2_301, leq(zero, all_0_2_2) = 0, yields:
% 224.54/175.95 | (4562) all_333_2_301 = 0
% 224.54/175.95 |
% 224.54/175.95 | Equations (4562) can reduce 4560 to:
% 224.54/175.95 | (56) $false
% 224.54/175.95 |
% 224.54/175.95 |-The branch is then unsatisfiable
% 224.54/175.95 |-Branch two:
% 224.54/175.95 | (4564) ~ (all_552_2_524 = 0) & leq(all_38_0_20, all_38_0_20) = all_552_2_524
% 224.54/175.95 |
% 224.54/175.95 | Applying alpha-rule on (4564) yields:
% 224.54/175.95 | (4565) ~ (all_552_2_524 = 0)
% 224.54/175.95 | (4566) leq(all_38_0_20, all_38_0_20) = all_552_2_524
% 224.54/175.95 |
% 224.54/175.95 | From (2710)(2710) and (4566) follows:
% 224.54/175.95 | (4567) leq(all_0_2_2, all_0_2_2) = all_552_2_524
% 224.54/175.95 |
% 224.54/175.95 | Instantiating formula (28) with all_0_2_2, all_0_2_2, all_552_2_524, 0 and discharging atoms leq(all_0_2_2, all_0_2_2) = all_552_2_524, leq(all_0_2_2, all_0_2_2) = 0, yields:
% 224.54/175.95 | (4568) all_552_2_524 = 0
% 224.54/175.95 |
% 224.54/175.95 | Equations (4568) can reduce 4565 to:
% 224.54/175.95 | (56) $false
% 224.54/175.95 |
% 224.54/175.95 |-The branch is then unsatisfiable
% 224.54/175.95 |-Branch two:
% 224.54/175.95 | (4570) ~ (all_556_2_536 = 0) & leq(all_205_0_233, one) = all_556_2_536
% 224.54/175.95 |
% 224.54/175.95 | Applying alpha-rule on (4570) yields:
% 224.54/175.95 | (4571) ~ (all_556_2_536 = 0)
% 224.54/175.95 | (4572) leq(all_205_0_233, one) = all_556_2_536
% 224.54/175.95 |
% 224.54/175.95 | From (2270) and (4572) follows:
% 224.54/175.95 | (4573) leq(one, one) = all_556_2_536
% 224.54/175.95 |
% 224.54/175.95 | Instantiating formula (28) with one, one, all_556_2_536, 0 and discharging atoms leq(one, one) = all_556_2_536, leq(one, one) = 0, yields:
% 224.54/175.95 | (4574) all_556_2_536 = 0
% 224.54/175.95 |
% 224.54/175.95 | Equations (4574) can reduce 4571 to:
% 224.54/175.95 | (56) $false
% 224.54/175.95 |
% 224.54/175.95 |-The branch is then unsatisfiable
% 224.54/175.95 |-Branch two:
% 224.54/175.95 | (4576) ~ (all_554_2_530 = 0) & leq(all_0_2_2, all_38_0_20) = all_554_2_530
% 224.54/175.95 |
% 224.54/175.95 | Applying alpha-rule on (4576) yields:
% 224.54/175.95 | (4577) ~ (all_554_2_530 = 0)
% 224.54/175.95 | (4578) leq(all_0_2_2, all_38_0_20) = all_554_2_530
% 224.54/175.95 |
% 224.54/175.95 | From (2710) and (4578) follows:
% 224.54/175.95 | (4579) leq(all_0_2_2, all_0_2_2) = all_554_2_530
% 224.54/175.95 |
% 224.54/175.95 | Instantiating formula (28) with all_0_2_2, all_0_2_2, all_554_2_530, 0 and discharging atoms leq(all_0_2_2, all_0_2_2) = all_554_2_530, leq(all_0_2_2, all_0_2_2) = 0, yields:
% 224.54/175.95 | (4580) all_554_2_530 = 0
% 224.54/175.95 |
% 224.54/175.95 | Equations (4580) can reduce 4577 to:
% 224.54/175.95 | (56) $false
% 224.54/175.95 |
% 224.54/175.95 |-The branch is then unsatisfiable
% 224.54/175.95 |-Branch two:
% 224.54/175.95 | (4582) ~ (all_483_2_466 = 0) & leq(all_203_0_232, one) = all_483_2_466
% 224.54/175.95 |
% 224.54/175.95 | Applying alpha-rule on (4582) yields:
% 224.54/175.95 | (4583) ~ (all_483_2_466 = 0)
% 224.54/175.95 | (4584) leq(all_203_0_232, one) = all_483_2_466
% 224.54/175.95 |
% 224.54/175.95 | From (2711) and (4584) follows:
% 224.54/175.95 | (4585) leq(one, one) = all_483_2_466
% 224.54/175.95 |
% 224.54/175.95 | Instantiating formula (28) with one, one, all_483_2_466, 0 and discharging atoms leq(one, one) = all_483_2_466, leq(one, one) = 0, yields:
% 224.54/175.95 | (4586) all_483_2_466 = 0
% 224.54/175.95 |
% 224.54/175.95 | Equations (4586) can reduce 4583 to:
% 224.54/175.95 | (56) $false
% 224.54/175.95 |
% 224.54/175.95 |-The branch is then unsatisfiable
% 224.54/175.95 |-Branch two:
% 224.54/175.95 | (4588) ~ (all_881_2_930 = 0) & leq(all_38_0_20, all_0_2_2) = all_881_2_930
% 224.54/175.95 |
% 224.54/175.95 | Applying alpha-rule on (4588) yields:
% 224.54/175.95 | (4589) ~ (all_881_2_930 = 0)
% 224.54/175.95 | (4590) leq(all_38_0_20, all_0_2_2) = all_881_2_930
% 224.54/175.95 |
% 224.54/175.95 | From (2710) and (4590) follows:
% 224.54/175.95 | (4591) leq(all_0_2_2, all_0_2_2) = all_881_2_930
% 224.54/175.95 |
% 224.54/175.95 | Instantiating formula (28) with all_0_2_2, all_0_2_2, all_881_2_930, 0 and discharging atoms leq(all_0_2_2, all_0_2_2) = all_881_2_930, leq(all_0_2_2, all_0_2_2) = 0, yields:
% 224.54/175.95 | (4592) all_881_2_930 = 0
% 224.54/175.95 |
% 224.54/175.95 | Equations (4592) can reduce 4589 to:
% 224.54/175.95 | (56) $false
% 224.54/175.95 |
% 224.54/175.95 |-The branch is then unsatisfiable
% 224.54/175.95 |-Branch two:
% 224.54/175.95 | (4594) ~ (all_610_2_599 = 0) & leq(all_49_1_36, zero) = all_610_2_599
% 224.54/175.95 |
% 224.54/175.95 | Applying alpha-rule on (4594) yields:
% 224.54/175.95 | (4595) ~ (all_610_2_599 = 0)
% 224.54/175.95 | (4596) leq(all_49_1_36, zero) = all_610_2_599
% 224.54/175.96 |
% 224.54/175.96 | From (2667) and (4596) follows:
% 224.54/175.96 | (4597) leq(zero, zero) = all_610_2_599
% 224.54/175.96 |
% 224.54/175.96 | Instantiating formula (28) with zero, zero, all_610_2_599, 0 and discharging atoms leq(zero, zero) = all_610_2_599, leq(zero, zero) = 0, yields:
% 224.54/175.96 | (4598) all_610_2_599 = 0
% 224.54/175.96 |
% 224.54/175.96 | Equations (4598) can reduce 4595 to:
% 224.54/175.96 | (56) $false
% 224.54/175.96 |
% 224.54/175.96 |-The branch is then unsatisfiable
% 224.54/175.96 |-Branch two:
% 224.54/175.96 | (4600) ~ (all_582_2_560 = 0) & leq(all_85_0_61, all_20_1_18) = all_582_2_560
% 224.54/175.96 |
% 224.54/175.96 | Applying alpha-rule on (4600) yields:
% 224.54/175.96 | (4601) ~ (all_582_2_560 = 0)
% 224.54/175.96 | (4602) leq(all_85_0_61, all_20_1_18) = all_582_2_560
% 224.54/175.96 |
% 224.54/175.96 | From (2713)(1658) and (4602) follows:
% 224.54/175.96 | (4603) leq(one, one) = all_582_2_560
% 224.54/175.96 |
% 224.54/175.96 | Instantiating formula (28) with one, one, all_582_2_560, 0 and discharging atoms leq(one, one) = all_582_2_560, leq(one, one) = 0, yields:
% 224.54/175.96 | (4604) all_582_2_560 = 0
% 224.54/175.96 |
% 224.54/175.96 | Equations (4604) can reduce 4601 to:
% 224.54/175.96 | (56) $false
% 224.54/175.96 |
% 224.54/175.96 |-The branch is then unsatisfiable
% 224.54/175.96 |-Branch two:
% 224.54/175.96 | (4606) ~ (all_108_2_96 = 0) & leq(all_38_0_20, all_0_2_2) = all_108_2_96
% 224.54/175.96 |
% 224.54/175.96 | Applying alpha-rule on (4606) yields:
% 224.54/175.96 | (4607) ~ (all_108_2_96 = 0)
% 224.54/175.96 | (4608) leq(all_38_0_20, all_0_2_2) = all_108_2_96
% 224.54/175.96 |
% 224.54/175.96 | From (2710) and (4608) follows:
% 224.54/175.96 | (4609) leq(all_0_2_2, all_0_2_2) = all_108_2_96
% 224.54/175.96 |
% 224.54/175.96 | Instantiating formula (28) with all_0_2_2, all_0_2_2, all_108_2_96, 0 and discharging atoms leq(all_0_2_2, all_0_2_2) = all_108_2_96, leq(all_0_2_2, all_0_2_2) = 0, yields:
% 224.54/175.96 | (4610) all_108_2_96 = 0
% 224.54/175.96 |
% 224.54/175.96 | Equations (4610) can reduce 4607 to:
% 224.54/175.96 | (56) $false
% 224.54/175.96 |
% 224.54/175.96 |-The branch is then unsatisfiable
% 224.54/175.96 |-Branch two:
% 224.54/175.96 | (4612) ~ (all_950_2_1022 = 0) & leq(one, all_85_0_61) = all_950_2_1022
% 224.54/175.96 |
% 224.54/175.96 | Applying alpha-rule on (4612) yields:
% 224.54/175.96 | (4613) ~ (all_950_2_1022 = 0)
% 224.54/175.96 | (4614) leq(one, all_85_0_61) = all_950_2_1022
% 224.54/175.96 |
% 224.54/175.96 | From (2713) and (4614) follows:
% 224.54/175.96 | (4615) leq(one, one) = all_950_2_1022
% 224.54/175.96 |
% 224.54/175.96 | Instantiating formula (28) with one, one, all_950_2_1022, 0 and discharging atoms leq(one, one) = all_950_2_1022, leq(one, one) = 0, yields:
% 224.54/175.96 | (4616) all_950_2_1022 = 0
% 224.54/175.96 |
% 224.54/175.96 | Equations (4616) can reduce 4613 to:
% 224.54/175.96 | (56) $false
% 224.54/175.96 |
% 224.54/175.96 |-The branch is then unsatisfiable
% 224.54/175.96 |-Branch two:
% 224.54/175.96 | (4618) ~ (all_609_2_596 = 0) & leq(all_49_1_36, zero) = all_609_2_596
% 224.54/175.96 |
% 224.54/175.96 | Applying alpha-rule on (4618) yields:
% 224.54/175.96 | (4619) ~ (all_609_2_596 = 0)
% 224.54/175.96 | (4620) leq(all_49_1_36, zero) = all_609_2_596
% 224.54/175.96 |
% 224.54/175.96 | From (2667) and (4620) follows:
% 224.54/175.96 | (4621) leq(zero, zero) = all_609_2_596
% 224.54/175.96 |
% 224.54/175.96 | Instantiating formula (28) with zero, zero, all_609_2_596, 0 and discharging atoms leq(zero, zero) = all_609_2_596, leq(zero, zero) = 0, yields:
% 224.54/175.96 | (4622) all_609_2_596 = 0
% 224.54/175.96 |
% 224.54/175.96 | Equations (4622) can reduce 4619 to:
% 224.54/175.96 | (56) $false
% 224.54/175.96 |
% 224.54/175.96 |-The branch is then unsatisfiable
% 224.54/175.96 |-Branch two:
% 224.54/175.96 | (4624) ~ (all_1218_2_1364 = 0) & leq(all_0_2_2, all_0_2_2) = all_1218_2_1364
% 224.54/175.96 |
% 224.54/175.96 | Applying alpha-rule on (4624) yields:
% 224.54/175.96 | (4625) ~ (all_1218_2_1364 = 0)
% 224.54/175.96 | (4626) leq(all_0_2_2, all_0_2_2) = all_1218_2_1364
% 224.54/175.96 |
% 224.54/175.96 | Instantiating formula (28) with all_0_2_2, all_0_2_2, 0, all_1218_2_1364 and discharging atoms leq(all_0_2_2, all_0_2_2) = all_1218_2_1364, leq(all_0_2_2, all_0_2_2) = 0, yields:
% 224.54/175.96 | (4627) all_1218_2_1364 = 0
% 224.54/175.96 |
% 224.54/175.96 | Equations (4627) can reduce 4625 to:
% 224.54/175.96 | (56) $false
% 224.54/175.96 |
% 224.54/175.96 |-The branch is then unsatisfiable
% 224.54/175.96 |-Branch two:
% 224.54/175.96 | (4629) ~ (all_1186_2_1305 = 0) & leq(all_20_1_18, one) = all_1186_2_1305
% 224.54/175.96 |
% 224.54/175.96 | Applying alpha-rule on (4629) yields:
% 224.54/175.96 | (4630) ~ (all_1186_2_1305 = 0)
% 224.54/175.96 | (4631) leq(all_20_1_18, one) = all_1186_2_1305
% 224.54/175.96 |
% 224.54/175.96 | From (1658) and (4631) follows:
% 224.54/175.96 | (4632) leq(one, one) = all_1186_2_1305
% 224.54/175.96 |
% 224.54/175.96 | Instantiating formula (28) with one, one, all_1186_2_1305, 0 and discharging atoms leq(one, one) = all_1186_2_1305, leq(one, one) = 0, yields:
% 224.54/175.96 | (4633) all_1186_2_1305 = 0
% 224.54/175.96 |
% 224.54/175.96 | Equations (4633) can reduce 4630 to:
% 224.54/175.96 | (56) $false
% 224.54/175.96 |
% 224.54/175.96 |-The branch is then unsatisfiable
% 224.54/175.96 |-Branch two:
% 224.54/175.96 | (4635) ~ (all_1144_2_1249 = 0) & leq(all_0_2_2, all_0_2_2) = all_1144_2_1249
% 224.54/175.96 |
% 224.54/175.97 | Applying alpha-rule on (4635) yields:
% 224.54/175.97 | (4636) ~ (all_1144_2_1249 = 0)
% 224.54/175.97 | (4637) leq(all_0_2_2, all_0_2_2) = all_1144_2_1249
% 224.54/175.97 |
% 224.54/175.97 | Instantiating formula (28) with all_0_2_2, all_0_2_2, 0, all_1144_2_1249 and discharging atoms leq(all_0_2_2, all_0_2_2) = all_1144_2_1249, leq(all_0_2_2, all_0_2_2) = 0, yields:
% 224.54/175.97 | (4638) all_1144_2_1249 = 0
% 224.54/175.97 |
% 224.54/175.97 | Equations (4638) can reduce 4636 to:
% 224.54/175.97 | (56) $false
% 224.54/175.97 |
% 224.54/175.97 |-The branch is then unsatisfiable
% 224.54/175.97 |-Branch two:
% 224.54/175.97 | (4640) ~ (all_1143_2_1246 = 0) & leq(zero, zero) = all_1143_2_1246
% 224.54/175.97 |
% 224.54/175.97 | Applying alpha-rule on (4640) yields:
% 224.54/175.97 | (4641) ~ (all_1143_2_1246 = 0)
% 224.54/175.97 | (4642) leq(zero, zero) = all_1143_2_1246
% 224.54/175.97 |
% 224.54/175.97 | Instantiating formula (28) with zero, zero, 0, all_1143_2_1246 and discharging atoms leq(zero, zero) = all_1143_2_1246, leq(zero, zero) = 0, yields:
% 224.54/175.97 | (4643) all_1143_2_1246 = 0
% 224.54/175.97 |
% 224.54/175.97 | Equations (4643) can reduce 4641 to:
% 224.54/175.97 | (56) $false
% 224.54/175.97 |
% 224.54/175.97 |-The branch is then unsatisfiable
% 224.54/175.97 |-Branch two:
% 224.54/175.97 | (4645) ~ (all_1129_2_1223 = 0) & leq(all_20_1_18, one) = all_1129_2_1223
% 224.54/175.97 |
% 224.54/175.97 | Applying alpha-rule on (4645) yields:
% 224.54/175.97 | (4646) ~ (all_1129_2_1223 = 0)
% 224.54/175.97 | (4647) leq(all_20_1_18, one) = all_1129_2_1223
% 224.54/175.97 |
% 224.54/175.97 | From (1658) and (4647) follows:
% 224.54/175.97 | (4648) leq(one, one) = all_1129_2_1223
% 224.54/175.97 |
% 224.54/175.97 | Instantiating formula (28) with one, one, all_1129_2_1223, 0 and discharging atoms leq(one, one) = all_1129_2_1223, leq(one, one) = 0, yields:
% 224.54/175.97 | (4649) all_1129_2_1223 = 0
% 224.54/175.97 |
% 224.54/175.97 | Equations (4649) can reduce 4646 to:
% 224.54/175.97 | (56) $false
% 224.54/175.97 |
% 224.54/175.97 |-The branch is then unsatisfiable
% 224.54/175.97 |-Branch two:
% 224.54/175.97 | (4651) ~ (all_1101_2_1185 = 0) & leq(all_49_1_36, all_20_0_17) = all_1101_2_1185
% 224.54/175.97 |
% 224.54/175.97 | Applying alpha-rule on (4651) yields:
% 224.54/175.97 | (4652) ~ (all_1101_2_1185 = 0)
% 224.54/175.97 | (4653) leq(all_49_1_36, all_20_0_17) = all_1101_2_1185
% 224.54/175.97 |
% 224.54/175.97 | Instantiating formula (28) with all_49_1_36, all_20_0_17, 0, all_1101_2_1185 and discharging atoms leq(all_49_1_36, all_20_0_17) = all_1101_2_1185, leq(all_49_1_36, all_20_0_17) = 0, yields:
% 224.54/175.97 | (4654) all_1101_2_1185 = 0
% 224.54/175.97 |
% 224.54/175.97 | Equations (4654) can reduce 4652 to:
% 224.54/175.97 | (56) $false
% 224.54/175.97 |
% 224.54/175.97 |-The branch is then unsatisfiable
% 224.54/175.97 |-Branch two:
% 224.54/175.97 | (4656) ~ (all_1134_2_1234 = 0) & leq(all_20_1_18, all_20_1_18) = all_1134_2_1234
% 224.54/175.97 |
% 224.54/175.97 | Applying alpha-rule on (4656) yields:
% 224.54/175.97 | (4657) ~ (all_1134_2_1234 = 0)
% 224.54/175.97 | (4658) leq(all_20_1_18, all_20_1_18) = all_1134_2_1234
% 224.54/175.97 |
% 224.54/175.97 | From (1658)(1658) and (4658) follows:
% 224.54/175.97 | (4659) leq(one, one) = all_1134_2_1234
% 224.54/175.97 |
% 224.54/175.97 | Instantiating formula (28) with one, one, all_1134_2_1234, 0 and discharging atoms leq(one, one) = all_1134_2_1234, leq(one, one) = 0, yields:
% 224.54/175.97 | (4660) all_1134_2_1234 = 0
% 224.54/175.97 |
% 224.54/175.97 | Equations (4660) can reduce 4657 to:
% 224.54/175.97 | (56) $false
% 224.54/175.97 |
% 224.54/175.97 |-The branch is then unsatisfiable
% 224.54/175.97 |-Branch two:
% 224.54/175.97 | (4662) ~ (all_1088_2_1161 = 0) & leq(all_20_0_17, all_20_0_17) = all_1088_2_1161
% 224.54/175.97 |
% 224.54/175.97 | Applying alpha-rule on (4662) yields:
% 224.54/175.97 | (4663) ~ (all_1088_2_1161 = 0)
% 224.54/175.97 | (4664) leq(all_20_0_17, all_20_0_17) = all_1088_2_1161
% 224.54/175.97 |
% 224.54/175.97 | Instantiating formula (28) with all_20_0_17, all_20_0_17, 0, all_1088_2_1161 and discharging atoms leq(all_20_0_17, all_20_0_17) = all_1088_2_1161, leq(all_20_0_17, all_20_0_17) = 0, yields:
% 224.54/175.97 | (4665) all_1088_2_1161 = 0
% 224.54/175.97 |
% 224.54/175.97 | Equations (4665) can reduce 4663 to:
% 224.54/175.97 | (56) $false
% 224.54/175.97 |
% 224.54/175.97 |-The branch is then unsatisfiable
% 224.54/175.97 |-Branch two:
% 224.54/175.97 | (4667) ~ (all_1087_2_1158 = 0) & leq(all_20_0_17, all_20_0_17) = all_1087_2_1158
% 224.54/175.97 |
% 224.54/175.97 | Applying alpha-rule on (4667) yields:
% 224.54/175.97 | (4668) ~ (all_1087_2_1158 = 0)
% 224.54/175.97 | (4669) leq(all_20_0_17, all_20_0_17) = all_1087_2_1158
% 224.54/175.97 |
% 224.54/175.97 | Instantiating formula (28) with all_20_0_17, all_20_0_17, 0, all_1087_2_1158 and discharging atoms leq(all_20_0_17, all_20_0_17) = all_1087_2_1158, leq(all_20_0_17, all_20_0_17) = 0, yields:
% 224.54/175.97 | (4670) all_1087_2_1158 = 0
% 224.54/175.97 |
% 224.54/175.97 | Equations (4670) can reduce 4668 to:
% 224.54/175.97 | (56) $false
% 224.54/175.97 |
% 224.54/175.97 |-The branch is then unsatisfiable
% 224.54/175.97 |-Branch two:
% 224.54/175.97 | (4672) ~ (all_1131_2_1229 = 0) & leq(one, all_20_1_18) = all_1131_2_1229
% 224.54/175.97 |
% 224.54/175.97 | Applying alpha-rule on (4672) yields:
% 224.54/175.97 | (4673) ~ (all_1131_2_1229 = 0)
% 224.54/175.97 | (4674) leq(one, all_20_1_18) = all_1131_2_1229
% 224.54/175.97 |
% 224.54/175.97 | From (1658) and (4674) follows:
% 224.54/175.97 | (4675) leq(one, one) = all_1131_2_1229
% 224.54/175.97 |
% 224.54/175.97 | Instantiating formula (28) with one, one, all_1131_2_1229, 0 and discharging atoms leq(one, one) = all_1131_2_1229, leq(one, one) = 0, yields:
% 224.54/175.97 | (4676) all_1131_2_1229 = 0
% 224.54/175.97 |
% 224.54/175.97 | Equations (4676) can reduce 4673 to:
% 224.54/175.97 | (56) $false
% 224.54/175.97 |
% 224.54/175.97 |-The branch is then unsatisfiable
% 224.54/175.97 |-Branch two:
% 224.54/175.97 | (4678) ~ (all_1190_2_1313 = 0) & leq(all_20_1_18, all_20_1_18) = all_1190_2_1313
% 224.54/175.97 |
% 224.54/175.98 | Applying alpha-rule on (4678) yields:
% 224.54/175.98 | (4679) ~ (all_1190_2_1313 = 0)
% 224.54/175.98 | (4680) leq(all_20_1_18, all_20_1_18) = all_1190_2_1313
% 224.54/175.98 |
% 224.54/175.98 | From (1658)(1658) and (4680) follows:
% 224.54/175.98 | (4681) leq(one, one) = all_1190_2_1313
% 224.54/175.98 |
% 224.54/175.98 | Instantiating formula (28) with one, one, all_1190_2_1313, 0 and discharging atoms leq(one, one) = all_1190_2_1313, leq(one, one) = 0, yields:
% 224.54/175.98 | (4682) all_1190_2_1313 = 0
% 224.54/175.98 |
% 224.54/175.98 | Equations (4682) can reduce 4679 to:
% 224.54/175.98 | (56) $false
% 224.54/175.98 |
% 224.54/175.98 |-The branch is then unsatisfiable
% 224.54/175.98 |-Branch two:
% 224.54/175.98 | (4684) ~ (all_929_2_987 = 0) & leq(all_49_1_36, all_0_2_2) = all_929_2_987
% 224.54/175.98 |
% 224.54/175.98 | Applying alpha-rule on (4684) yields:
% 224.54/175.98 | (4685) ~ (all_929_2_987 = 0)
% 224.54/175.98 | (4686) leq(all_49_1_36, all_0_2_2) = all_929_2_987
% 224.54/175.98 |
% 224.54/175.98 | Instantiating formula (28) with all_49_1_36, all_0_2_2, 0, all_929_2_987 and discharging atoms leq(all_49_1_36, all_0_2_2) = all_929_2_987, leq(all_49_1_36, all_0_2_2) = 0, yields:
% 224.54/175.98 | (4687) all_929_2_987 = 0
% 224.54/175.98 |
% 224.54/175.98 | Equations (4687) can reduce 4685 to:
% 224.54/175.98 | (56) $false
% 224.54/175.98 |
% 224.54/175.98 |-The branch is then unsatisfiable
% 224.54/175.98 |-Branch two:
% 224.54/175.98 | (4689) ~ (all_916_2_972 = 0) & leq(all_20_0_17, all_20_0_17) = all_916_2_972
% 224.54/175.98 |
% 224.54/175.98 | Applying alpha-rule on (4689) yields:
% 224.54/175.98 | (4690) ~ (all_916_2_972 = 0)
% 224.54/175.98 | (4691) leq(all_20_0_17, all_20_0_17) = all_916_2_972
% 224.54/175.98 |
% 224.54/175.98 | Instantiating formula (28) with all_20_0_17, all_20_0_17, 0, all_916_2_972 and discharging atoms leq(all_20_0_17, all_20_0_17) = all_916_2_972, leq(all_20_0_17, all_20_0_17) = 0, yields:
% 224.54/175.98 | (4692) all_916_2_972 = 0
% 224.54/175.98 |
% 224.54/175.98 | Equations (4692) can reduce 4690 to:
% 224.54/175.98 | (56) $false
% 224.54/175.98 |
% 224.54/175.98 |-The branch is then unsatisfiable
% 224.54/175.98 |-Branch two:
% 224.54/175.98 | (4694) ~ (all_1091_2_1165 = 0) & leq(all_20_0_17, all_20_0_17) = all_1091_2_1165
% 224.54/175.98 |
% 224.54/175.98 | Applying alpha-rule on (4694) yields:
% 224.54/175.98 | (4695) ~ (all_1091_2_1165 = 0)
% 224.54/175.98 | (4696) leq(all_20_0_17, all_20_0_17) = all_1091_2_1165
% 224.54/175.98 |
% 224.54/175.98 | Instantiating formula (28) with all_20_0_17, all_20_0_17, 0, all_1091_2_1165 and discharging atoms leq(all_20_0_17, all_20_0_17) = all_1091_2_1165, leq(all_20_0_17, all_20_0_17) = 0, yields:
% 224.54/175.98 | (4697) all_1091_2_1165 = 0
% 224.54/175.98 |
% 224.54/175.98 | Equations (4697) can reduce 4695 to:
% 224.54/175.98 | (56) $false
% 224.54/175.98 |
% 224.54/175.98 |-The branch is then unsatisfiable
% 224.54/175.98 |-Branch two:
% 224.54/175.98 | (4699) ~ (all_1204_2_1336 = 0) & leq(all_20_0_17, all_20_0_17) = all_1204_2_1336
% 224.54/175.98 |
% 224.54/175.98 | Applying alpha-rule on (4699) yields:
% 224.54/175.98 | (4700) ~ (all_1204_2_1336 = 0)
% 224.54/175.98 | (4701) leq(all_20_0_17, all_20_0_17) = all_1204_2_1336
% 224.54/175.98 |
% 224.54/175.98 | Instantiating formula (28) with all_20_0_17, all_20_0_17, 0, all_1204_2_1336 and discharging atoms leq(all_20_0_17, all_20_0_17) = all_1204_2_1336, leq(all_20_0_17, all_20_0_17) = 0, yields:
% 224.54/175.98 | (4702) all_1204_2_1336 = 0
% 224.54/175.98 |
% 224.54/175.98 | Equations (4702) can reduce 4700 to:
% 224.54/175.98 | (56) $false
% 224.54/175.98 |
% 224.54/175.98 |-The branch is then unsatisfiable
% 224.54/175.98 |-Branch two:
% 224.54/175.98 | (4704) ~ (all_822_2_867 = 0) & leq(one, all_26_0_19) = all_822_2_867
% 224.54/175.98 |
% 224.54/175.98 | Applying alpha-rule on (4704) yields:
% 224.54/175.98 | (4705) ~ (all_822_2_867 = 0)
% 224.54/175.98 | (4706) leq(one, all_26_0_19) = all_822_2_867
% 224.54/175.98 |
% 224.54/175.98 | Instantiating formula (28) with one, all_26_0_19, 0, all_822_2_867 and discharging atoms leq(one, all_26_0_19) = all_822_2_867, leq(one, all_26_0_19) = 0, yields:
% 224.54/175.98 | (4707) all_822_2_867 = 0
% 224.54/175.98 |
% 224.54/175.98 | Equations (4707) can reduce 4705 to:
% 224.54/175.98 | (56) $false
% 224.54/175.98 |
% 224.54/175.98 |-The branch is then unsatisfiable
% 224.54/175.98 |-Branch two:
% 224.54/175.98 | (4709) ~ (all_736_2_767 = 0) & leq(zero, all_20_0_17) = all_736_2_767
% 224.54/175.98 |
% 224.54/175.98 | Applying alpha-rule on (4709) yields:
% 224.54/175.98 | (4710) ~ (all_736_2_767 = 0)
% 224.54/175.98 | (4711) leq(zero, all_20_0_17) = all_736_2_767
% 224.54/175.98 |
% 224.54/175.98 | Instantiating formula (28) with zero, all_20_0_17, 0, all_736_2_767 and discharging atoms leq(zero, all_20_0_17) = all_736_2_767, leq(zero, all_20_0_17) = 0, yields:
% 224.54/175.98 | (4712) all_736_2_767 = 0
% 224.54/175.98 |
% 224.54/175.98 | Equations (4712) can reduce 4710 to:
% 224.54/175.98 | (56) $false
% 224.54/175.98 |
% 224.54/175.98 |-The branch is then unsatisfiable
% 224.54/175.98 |-Branch two:
% 224.54/175.98 | (4714) ~ (all_813_2_850 = 0) & leq(zero, zero) = all_813_2_850
% 224.54/175.98 |
% 224.54/175.98 | Applying alpha-rule on (4714) yields:
% 224.54/175.98 | (4715) ~ (all_813_2_850 = 0)
% 224.54/175.98 | (4716) leq(zero, zero) = all_813_2_850
% 224.54/175.98 |
% 224.54/175.98 | Instantiating formula (28) with zero, zero, 0, all_813_2_850 and discharging atoms leq(zero, zero) = all_813_2_850, leq(zero, zero) = 0, yields:
% 224.54/175.98 | (4717) all_813_2_850 = 0
% 224.54/175.98 |
% 224.54/175.98 | Equations (4717) can reduce 4715 to:
% 224.54/175.98 | (56) $false
% 224.54/175.98 |
% 224.54/175.98 |-The branch is then unsatisfiable
% 224.54/175.98 |-Branch two:
% 224.54/175.98 | (4719) ~ (all_760_2_791 = 0) & leq(all_0_2_2, all_0_2_2) = all_760_2_791
% 224.54/175.98 |
% 224.54/175.98 | Applying alpha-rule on (4719) yields:
% 224.54/175.98 | (4720) ~ (all_760_2_791 = 0)
% 224.54/175.98 | (4721) leq(all_0_2_2, all_0_2_2) = all_760_2_791
% 224.54/175.98 |
% 224.54/175.98 | Instantiating formula (28) with all_0_2_2, all_0_2_2, 0, all_760_2_791 and discharging atoms leq(all_0_2_2, all_0_2_2) = all_760_2_791, leq(all_0_2_2, all_0_2_2) = 0, yields:
% 224.54/175.98 | (4722) all_760_2_791 = 0
% 224.54/175.98 |
% 224.54/175.99 | Equations (4722) can reduce 4720 to:
% 224.54/175.99 | (56) $false
% 224.54/175.99 |
% 224.54/175.99 |-The branch is then unsatisfiable
% 224.54/175.99 |-Branch two:
% 224.54/175.99 | (4724) ~ (all_392_2_376 = 0) & leq(all_49_1_36, all_20_0_17) = all_392_2_376
% 224.54/175.99 |
% 224.54/175.99 | Applying alpha-rule on (4724) yields:
% 224.54/175.99 | (4725) ~ (all_392_2_376 = 0)
% 224.54/175.99 | (4726) leq(all_49_1_36, all_20_0_17) = all_392_2_376
% 224.54/175.99 |
% 224.54/175.99 | Instantiating formula (28) with all_49_1_36, all_20_0_17, 0, all_392_2_376 and discharging atoms leq(all_49_1_36, all_20_0_17) = all_392_2_376, leq(all_49_1_36, all_20_0_17) = 0, yields:
% 224.54/175.99 | (4727) all_392_2_376 = 0
% 224.54/175.99 |
% 224.54/175.99 | Equations (4727) can reduce 4725 to:
% 224.54/175.99 | (56) $false
% 224.54/175.99 |
% 224.54/175.99 |-The branch is then unsatisfiable
% 224.54/175.99 |-Branch two:
% 224.54/175.99 | (4729) ~ (all_1219_2_1367 = 0) & leq(all_0_2_2, all_0_2_2) = all_1219_2_1367
% 224.54/175.99 |
% 224.54/175.99 | Applying alpha-rule on (4729) yields:
% 224.54/175.99 | (4730) ~ (all_1219_2_1367 = 0)
% 224.54/175.99 | (4731) leq(all_0_2_2, all_0_2_2) = all_1219_2_1367
% 224.54/175.99 |
% 224.54/175.99 | Instantiating formula (28) with all_0_2_2, all_0_2_2, 0, all_1219_2_1367 and discharging atoms leq(all_0_2_2, all_0_2_2) = all_1219_2_1367, leq(all_0_2_2, all_0_2_2) = 0, yields:
% 224.54/175.99 | (4732) all_1219_2_1367 = 0
% 224.54/175.99 |
% 224.54/175.99 | Equations (4732) can reduce 4730 to:
% 224.54/175.99 | (56) $false
% 224.54/175.99 |
% 224.54/175.99 |-The branch is then unsatisfiable
% 224.54/175.99 |-Branch two:
% 224.54/175.99 | (4734) ~ (all_391_2_373 = 0) & leq(zero, all_20_0_17) = all_391_2_373
% 224.54/175.99 |
% 224.54/175.99 | Applying alpha-rule on (4734) yields:
% 224.54/175.99 | (4735) ~ (all_391_2_373 = 0)
% 224.54/175.99 | (4736) leq(zero, all_20_0_17) = all_391_2_373
% 224.54/175.99 |
% 224.54/175.99 | Instantiating formula (28) with zero, all_20_0_17, 0, all_391_2_373 and discharging atoms leq(zero, all_20_0_17) = all_391_2_373, leq(zero, all_20_0_17) = 0, yields:
% 224.54/175.99 | (4737) all_391_2_373 = 0
% 224.54/175.99 |
% 224.54/175.99 | Equations (4737) can reduce 4735 to:
% 224.54/175.99 | (56) $false
% 224.54/175.99 |
% 224.54/175.99 |-The branch is then unsatisfiable
% 224.54/175.99 |-Branch two:
% 224.54/175.99 | (4739) ~ (all_347_2_318 = 0) & leq(all_20_0_17, all_20_0_17) = all_347_2_318
% 224.54/175.99 |
% 224.54/175.99 | Applying alpha-rule on (4739) yields:
% 224.54/175.99 | (4740) ~ (all_347_2_318 = 0)
% 224.54/175.99 | (4741) leq(all_20_0_17, all_20_0_17) = all_347_2_318
% 224.54/175.99 |
% 224.54/175.99 | Instantiating formula (28) with all_20_0_17, all_20_0_17, 0, all_347_2_318 and discharging atoms leq(all_20_0_17, all_20_0_17) = all_347_2_318, leq(all_20_0_17, all_20_0_17) = 0, yields:
% 224.54/175.99 | (4742) all_347_2_318 = 0
% 224.54/175.99 |
% 224.54/175.99 | Equations (4742) can reduce 4740 to:
% 224.54/175.99 | (56) $false
% 224.54/175.99 |
% 224.54/175.99 |-The branch is then unsatisfiable
% 224.83/175.99 |-Branch two:
% 224.83/175.99 | (4744) ~ (all_1215_2_1359 = 0) & leq(all_0_2_2, all_0_2_2) = all_1215_2_1359
% 224.83/175.99 |
% 224.83/175.99 | Applying alpha-rule on (4744) yields:
% 224.83/175.99 | (4745) ~ (all_1215_2_1359 = 0)
% 224.83/175.99 | (4746) leq(all_0_2_2, all_0_2_2) = all_1215_2_1359
% 224.83/175.99 |
% 224.83/175.99 | Instantiating formula (28) with all_0_2_2, all_0_2_2, 0, all_1215_2_1359 and discharging atoms leq(all_0_2_2, all_0_2_2) = all_1215_2_1359, leq(all_0_2_2, all_0_2_2) = 0, yields:
% 224.83/175.99 | (4747) all_1215_2_1359 = 0
% 224.83/175.99 |
% 224.83/175.99 | Equations (4747) can reduce 4745 to:
% 224.83/175.99 | (56) $false
% 224.83/175.99 |
% 224.83/175.99 |-The branch is then unsatisfiable
% 224.83/175.99 |-Branch two:
% 224.83/175.99 | (4749) ~ (all_1205_2_1339 = 0) & leq(all_20_0_17, all_20_0_17) = all_1205_2_1339
% 224.83/175.99 |
% 224.83/175.99 | Applying alpha-rule on (4749) yields:
% 224.83/175.99 | (4750) ~ (all_1205_2_1339 = 0)
% 224.83/175.99 | (4751) leq(all_20_0_17, all_20_0_17) = all_1205_2_1339
% 224.83/175.99 |
% 224.83/175.99 | Instantiating formula (28) with all_20_0_17, all_20_0_17, 0, all_1205_2_1339 and discharging atoms leq(all_20_0_17, all_20_0_17) = all_1205_2_1339, leq(all_20_0_17, all_20_0_17) = 0, yields:
% 224.83/175.99 | (4752) all_1205_2_1339 = 0
% 224.83/175.99 |
% 224.83/175.99 | Equations (4752) can reduce 4750 to:
% 224.83/175.99 | (56) $false
% 224.83/175.99 |
% 224.83/175.99 |-The branch is then unsatisfiable
% 224.83/175.99 |-Branch two:
% 224.83/175.99 | (4754) ~ (all_1210_2_1354 = 0) & leq(one, all_20_1_18) = all_1210_2_1354
% 224.83/175.99 |
% 224.83/175.99 | Applying alpha-rule on (4754) yields:
% 224.83/175.99 | (4755) ~ (all_1210_2_1354 = 0)
% 224.83/175.99 | (4756) leq(one, all_20_1_18) = all_1210_2_1354
% 224.83/175.99 |
% 224.83/175.99 | From (1658) and (4756) follows:
% 224.83/175.99 | (4757) leq(one, one) = all_1210_2_1354
% 224.83/175.99 |
% 224.83/175.99 | Instantiating formula (28) with one, one, all_1210_2_1354, 0 and discharging atoms leq(one, one) = all_1210_2_1354, leq(one, one) = 0, yields:
% 224.83/175.99 | (4758) all_1210_2_1354 = 0
% 224.83/175.99 |
% 224.83/175.99 | Equations (4758) can reduce 4755 to:
% 224.83/175.99 | (56) $false
% 224.83/175.99 |
% 224.83/175.99 |-The branch is then unsatisfiable
% 224.83/175.99 |-Branch two:
% 224.83/175.99 | (4760) ~ (all_827_2_877 = 0) & leq(zero, all_49_1_36) = all_827_2_877
% 224.83/175.99 |
% 224.83/175.99 | Applying alpha-rule on (4760) yields:
% 224.83/175.99 | (4761) ~ (all_827_2_877 = 0)
% 224.83/175.99 | (4762) leq(zero, all_49_1_36) = all_827_2_877
% 224.83/175.99 |
% 224.83/175.99 | Instantiating formula (28) with zero, all_49_1_36, 0, all_827_2_877 and discharging atoms leq(zero, all_49_1_36) = all_827_2_877, leq(zero, all_49_1_36) = 0, yields:
% 224.83/175.99 | (4763) all_827_2_877 = 0
% 224.83/175.99 |
% 224.83/175.99 | Equations (4763) can reduce 4761 to:
% 224.83/175.99 | (56) $false
% 224.83/175.99 |
% 224.83/175.99 |-The branch is then unsatisfiable
% 224.83/175.99 |-Branch two:
% 224.83/175.99 | (4765) ~ (all_1189_2_1310 = 0) & leq(all_20_1_18, all_20_1_18) = all_1189_2_1310
% 224.83/176.00 |
% 224.83/176.00 | Applying alpha-rule on (4765) yields:
% 224.83/176.00 | (4766) ~ (all_1189_2_1310 = 0)
% 224.83/176.00 | (4767) leq(all_20_1_18, all_20_1_18) = all_1189_2_1310
% 224.83/176.00 |
% 224.83/176.00 | From (1658)(1658) and (4767) follows:
% 224.83/176.00 | (4768) leq(one, one) = all_1189_2_1310
% 224.83/176.00 |
% 224.83/176.00 | Instantiating formula (28) with one, one, all_1189_2_1310, 0 and discharging atoms leq(one, one) = all_1189_2_1310, leq(one, one) = 0, yields:
% 224.83/176.00 | (4769) all_1189_2_1310 = 0
% 224.83/176.00 |
% 224.83/176.00 | Equations (4769) can reduce 4766 to:
% 224.83/176.00 | (56) $false
% 224.83/176.00 |
% 224.83/176.00 |-The branch is then unsatisfiable
% 224.83/176.00 |-Branch two:
% 224.83/176.00 | (4771) ~ (all_720_2_743 = 0) & leq(zero, zero) = all_720_2_743
% 224.83/176.00 |
% 224.83/176.00 | Applying alpha-rule on (4771) yields:
% 224.83/176.00 | (4772) ~ (all_720_2_743 = 0)
% 224.83/176.00 | (4773) leq(zero, zero) = all_720_2_743
% 224.83/176.00 |
% 224.83/176.00 | Instantiating formula (28) with zero, zero, 0, all_720_2_743 and discharging atoms leq(zero, zero) = all_720_2_743, leq(zero, zero) = 0, yields:
% 224.83/176.00 | (4774) all_720_2_743 = 0
% 224.83/176.00 |
% 224.83/176.00 | Equations (4774) can reduce 4772 to:
% 224.83/176.00 | (56) $false
% 224.83/176.00 |
% 224.83/176.00 |-The branch is then unsatisfiable
% 224.83/176.00 |-Branch two:
% 224.83/176.00 | (4776) ~ (all_184_2_210 = 0) & leq(all_20_0_17, all_20_0_17) = all_184_2_210
% 224.83/176.00 |
% 224.83/176.00 | Applying alpha-rule on (4776) yields:
% 224.83/176.00 | (4777) ~ (all_184_2_210 = 0)
% 224.83/176.00 | (4778) leq(all_20_0_17, all_20_0_17) = all_184_2_210
% 224.83/176.00 |
% 224.83/176.00 | Instantiating formula (28) with all_20_0_17, all_20_0_17, 0, all_184_2_210 and discharging atoms leq(all_20_0_17, all_20_0_17) = all_184_2_210, leq(all_20_0_17, all_20_0_17) = 0, yields:
% 224.83/176.00 | (4779) all_184_2_210 = 0
% 224.83/176.00 |
% 224.83/176.00 | Equations (4779) can reduce 4777 to:
% 224.83/176.00 | (56) $false
% 224.83/176.00 |
% 224.83/176.00 |-The branch is then unsatisfiable
% 224.83/176.00 |-Branch two:
% 224.83/176.00 | (4781) ~ (all_818_2_855 = 0) & leq(zero, zero) = all_818_2_855
% 224.83/176.00 |
% 224.83/176.00 | Applying alpha-rule on (4781) yields:
% 224.83/176.00 | (4782) ~ (all_818_2_855 = 0)
% 224.83/176.00 | (4783) leq(zero, zero) = all_818_2_855
% 224.83/176.00 |
% 224.83/176.00 | Instantiating formula (28) with zero, zero, 0, all_818_2_855 and discharging atoms leq(zero, zero) = all_818_2_855, leq(zero, zero) = 0, yields:
% 224.83/176.00 | (4784) all_818_2_855 = 0
% 224.83/176.00 |
% 224.83/176.00 | Equations (4784) can reduce 4782 to:
% 224.83/176.00 | (56) $false
% 224.83/176.00 |
% 224.83/176.00 |-The branch is then unsatisfiable
% 224.83/176.00 |-Branch two:
% 224.83/176.00 | (4786) ~ (all_82_2_54 = 0) & leq(all_20_1_18, all_0_2_2) = all_82_2_54
% 224.83/176.00 |
% 224.83/176.00 | Applying alpha-rule on (4786) yields:
% 224.83/176.00 | (4787) ~ (all_82_2_54 = 0)
% 224.83/176.00 | (4788) leq(all_20_1_18, all_0_2_2) = all_82_2_54
% 224.83/176.00 |
% 224.83/176.00 | From (1658) and (4788) follows:
% 224.83/176.00 | (4789) leq(one, all_0_2_2) = all_82_2_54
% 224.83/176.00 |
% 224.83/176.00 | Instantiating formula (28) with one, all_0_2_2, all_82_2_54, 0 and discharging atoms leq(one, all_0_2_2) = all_82_2_54, leq(one, all_0_2_2) = 0, yields:
% 224.83/176.00 | (4790) all_82_2_54 = 0
% 224.83/176.00 |
% 224.83/176.00 | Equations (4790) can reduce 4787 to:
% 224.83/176.00 | (56) $false
% 224.83/176.00 |
% 224.83/176.00 |-The branch is then unsatisfiable
% 224.83/176.00 |-Branch two:
% 224.83/176.00 | (4792) ~ (all_177_2_197 = 0) & leq(all_0_2_2, all_0_2_2) = all_177_2_197
% 224.83/176.00 |
% 224.83/176.00 | Applying alpha-rule on (4792) yields:
% 224.83/176.00 | (4793) ~ (all_177_2_197 = 0)
% 224.83/176.00 | (4794) leq(all_0_2_2, all_0_2_2) = all_177_2_197
% 224.83/176.00 |
% 224.83/176.00 | Instantiating formula (28) with all_0_2_2, all_0_2_2, 0, all_177_2_197 and discharging atoms leq(all_0_2_2, all_0_2_2) = all_177_2_197, leq(all_0_2_2, all_0_2_2) = 0, yields:
% 224.83/176.00 | (4795) all_177_2_197 = 0
% 224.83/176.00 |
% 224.83/176.00 | Equations (4795) can reduce 4793 to:
% 224.83/176.00 | (56) $false
% 224.83/176.00 |
% 224.83/176.00 |-The branch is then unsatisfiable
% 224.83/176.00 |-Branch two:
% 224.83/176.00 | (4797) ~ (all_402_2_386 = 0) & leq(zero, all_20_0_17) = all_402_2_386
% 224.83/176.00 |
% 224.83/176.00 | Applying alpha-rule on (4797) yields:
% 224.83/176.00 | (4798) ~ (all_402_2_386 = 0)
% 224.83/176.00 | (4799) leq(zero, all_20_0_17) = all_402_2_386
% 224.83/176.00 |
% 224.83/176.00 | Instantiating formula (28) with zero, all_20_0_17, 0, all_402_2_386 and discharging atoms leq(zero, all_20_0_17) = all_402_2_386, leq(zero, all_20_0_17) = 0, yields:
% 224.83/176.00 | (4800) all_402_2_386 = 0
% 224.83/176.00 |
% 224.83/176.00 | Equations (4800) can reduce 4798 to:
% 224.83/176.00 | (56) $false
% 224.83/176.00 |
% 224.83/176.00 |-The branch is then unsatisfiable
% 224.83/176.00 |-Branch two:
% 224.83/176.00 | (4802) ~ (all_606_2_587 = 0) & leq(all_20_1_18, all_26_0_19) = all_606_2_587
% 224.83/176.00 |
% 224.83/176.00 | Applying alpha-rule on (4802) yields:
% 224.83/176.00 | (4803) ~ (all_606_2_587 = 0)
% 224.83/176.00 | (4804) leq(all_20_1_18, all_26_0_19) = all_606_2_587
% 224.83/176.00 |
% 224.83/176.00 | From (1658) and (4804) follows:
% 224.83/176.00 | (4805) leq(one, all_26_0_19) = all_606_2_587
% 224.83/176.00 |
% 224.83/176.00 | Instantiating formula (28) with one, all_26_0_19, 0, all_606_2_587 and discharging atoms leq(one, all_26_0_19) = all_606_2_587, leq(one, all_26_0_19) = 0, yields:
% 224.83/176.00 | (4806) all_606_2_587 = 0
% 224.83/176.00 |
% 224.83/176.01 | Equations (4806) can reduce 4803 to:
% 224.83/176.01 | (56) $false
% 224.83/176.01 |
% 224.83/176.01 |-The branch is then unsatisfiable
% 224.83/176.01 |-Branch two:
% 224.83/176.01 | (4808) ~ (all_820_2_861 = 0) & leq(zero, zero) = all_820_2_861
% 224.83/176.01 |
% 224.83/176.01 | Applying alpha-rule on (4808) yields:
% 224.83/176.01 | (4809) ~ (all_820_2_861 = 0)
% 224.83/176.01 | (4810) leq(zero, zero) = all_820_2_861
% 224.83/176.01 |
% 224.83/176.01 | Instantiating formula (28) with zero, zero, 0, all_820_2_861 and discharging atoms leq(zero, zero) = all_820_2_861, leq(zero, zero) = 0, yields:
% 224.83/176.01 | (4811) all_820_2_861 = 0
% 224.83/176.01 |
% 224.83/176.01 | Equations (4811) can reduce 4809 to:
% 224.83/176.01 | (56) $false
% 224.83/176.01 |
% 224.83/176.01 |-The branch is then unsatisfiable
% 224.83/176.01 |-Branch two:
% 224.83/176.01 | (4813) ~ (all_655_2_655 = 0) & leq(all_20_1_18, all_26_0_19) = all_655_2_655
% 224.83/176.01 |
% 224.83/176.01 | Applying alpha-rule on (4813) yields:
% 224.83/176.01 | (4814) ~ (all_655_2_655 = 0)
% 224.83/176.01 | (4815) leq(all_20_1_18, all_26_0_19) = all_655_2_655
% 224.83/176.01 |
% 224.83/176.01 | From (1658) and (4815) follows:
% 224.83/176.01 | (4816) leq(one, all_26_0_19) = all_655_2_655
% 224.83/176.01 |
% 224.83/176.01 | Instantiating formula (28) with one, all_26_0_19, 0, all_655_2_655 and discharging atoms leq(one, all_26_0_19) = all_655_2_655, leq(one, all_26_0_19) = 0, yields:
% 224.83/176.01 | (4817) all_655_2_655 = 0
% 224.83/176.01 |
% 224.83/176.01 | Equations (4817) can reduce 4814 to:
% 224.83/176.01 | (56) $false
% 224.83/176.01 |
% 224.83/176.01 |-The branch is then unsatisfiable
% 224.83/176.01 |-Branch two:
% 224.83/176.01 | (4819) ~ (all_1135_2_1237 = 0) & leq(all_20_1_18, all_20_1_18) = all_1135_2_1237
% 224.83/176.01 |
% 224.83/176.01 | Applying alpha-rule on (4819) yields:
% 224.83/176.01 | (4820) ~ (all_1135_2_1237 = 0)
% 224.83/176.01 | (4821) leq(all_20_1_18, all_20_1_18) = all_1135_2_1237
% 224.83/176.01 |
% 224.83/176.01 | From (1658)(1658) and (4821) follows:
% 224.83/176.01 | (4822) leq(one, one) = all_1135_2_1237
% 224.83/176.01 |
% 224.83/176.01 | Instantiating formula (28) with one, one, all_1135_2_1237, 0 and discharging atoms leq(one, one) = all_1135_2_1237, leq(one, one) = 0, yields:
% 224.83/176.01 | (4823) all_1135_2_1237 = 0
% 224.83/176.01 |
% 224.83/176.01 | Equations (4823) can reduce 4820 to:
% 224.83/176.01 | (56) $false
% 224.83/176.01 |
% 224.83/176.01 |-The branch is then unsatisfiable
% 224.83/176.01 |-Branch two:
% 224.83/176.01 | (4825) ~ (all_528_2_501 = 0) & leq(one, all_26_0_19) = all_528_2_501
% 224.83/176.01 |
% 224.83/176.01 | Applying alpha-rule on (4825) yields:
% 224.83/176.01 | (4826) ~ (all_528_2_501 = 0)
% 224.83/176.01 | (4827) leq(one, all_26_0_19) = all_528_2_501
% 224.83/176.01 |
% 224.83/176.01 | Instantiating formula (28) with one, all_26_0_19, 0, all_528_2_501 and discharging atoms leq(one, all_26_0_19) = all_528_2_501, leq(one, all_26_0_19) = 0, yields:
% 224.83/176.01 | (4828) all_528_2_501 = 0
% 224.83/176.01 |
% 224.83/176.01 | Equations (4828) can reduce 4826 to:
% 224.83/176.01 | (56) $false
% 224.83/176.01 |
% 224.83/176.01 |-The branch is then unsatisfiable
% 224.83/176.01 |-Branch two:
% 224.83/176.01 | (4830) ~ (all_87_2_64 = 0) & leq(all_20_1_18, all_0_2_2) = all_87_2_64
% 224.83/176.01 |
% 224.83/176.01 | Applying alpha-rule on (4830) yields:
% 224.83/176.01 | (4831) ~ (all_87_2_64 = 0)
% 224.83/176.01 | (4832) leq(all_20_1_18, all_0_2_2) = all_87_2_64
% 224.83/176.01 |
% 224.83/176.01 | From (1658) and (4832) follows:
% 224.83/176.01 | (4833) leq(one, all_0_2_2) = all_87_2_64
% 224.83/176.01 |
% 224.83/176.01 | Instantiating formula (28) with one, all_0_2_2, all_87_2_64, 0 and discharging atoms leq(one, all_0_2_2) = all_87_2_64, leq(one, all_0_2_2) = 0, yields:
% 224.83/176.01 | (4834) all_87_2_64 = 0
% 224.83/176.01 |
% 224.83/176.01 | Equations (4834) can reduce 4831 to:
% 224.83/176.01 | (56) $false
% 224.83/176.01 |
% 224.83/176.01 |-The branch is then unsatisfiable
% 224.83/176.01 |-Branch two:
% 224.83/176.01 | (4836) ~ (all_447_2_426 = 0) & leq(all_49_1_36, all_38_0_20) = all_447_2_426
% 224.83/176.01 |
% 224.83/176.01 | Applying alpha-rule on (4836) yields:
% 224.83/176.01 | (4837) ~ (all_447_2_426 = 0)
% 224.83/176.01 | (4838) leq(all_49_1_36, all_38_0_20) = all_447_2_426
% 224.83/176.01 |
% 224.83/176.01 | Instantiating formula (28) with all_49_1_36, all_38_0_20, 0, all_447_2_426 and discharging atoms leq(all_49_1_36, all_38_0_20) = all_447_2_426, leq(all_49_1_36, all_38_0_20) = 0, yields:
% 224.83/176.01 | (4839) all_447_2_426 = 0
% 224.83/176.01 |
% 224.83/176.01 | Equations (4839) can reduce 4837 to:
% 224.83/176.01 | (56) $false
% 224.83/176.01 |
% 224.83/176.01 |-The branch is then unsatisfiable
% 224.83/176.01 |-Branch two:
% 224.83/176.01 | (4841) ~ (all_828_2_880 = 0) & leq(zero, all_20_0_17) = all_828_2_880
% 224.83/176.01 |
% 224.83/176.01 | Applying alpha-rule on (4841) yields:
% 224.83/176.01 | (4842) ~ (all_828_2_880 = 0)
% 224.83/176.01 | (4843) leq(zero, all_20_0_17) = all_828_2_880
% 224.83/176.01 |
% 224.83/176.01 | Instantiating formula (28) with zero, all_20_0_17, 0, all_828_2_880 and discharging atoms leq(zero, all_20_0_17) = all_828_2_880, leq(zero, all_20_0_17) = 0, yields:
% 224.83/176.01 | (4844) all_828_2_880 = 0
% 224.83/176.01 |
% 224.83/176.01 | Equations (4844) can reduce 4842 to:
% 224.83/176.01 | (56) $false
% 224.83/176.01 |
% 224.83/176.01 |-The branch is then unsatisfiable
% 224.83/176.01 |-Branch two:
% 224.83/176.01 | (4846) ~ (all_1000_2_1079 = 0) & leq(all_20_0_17, all_20_0_17) = all_1000_2_1079
% 224.83/176.01 |
% 224.83/176.02 | Applying alpha-rule on (4846) yields:
% 224.83/176.02 | (4847) ~ (all_1000_2_1079 = 0)
% 224.83/176.02 | (4848) leq(all_20_0_17, all_20_0_17) = all_1000_2_1079
% 224.83/176.02 |
% 224.83/176.02 | Instantiating formula (28) with all_20_0_17, all_20_0_17, 0, all_1000_2_1079 and discharging atoms leq(all_20_0_17, all_20_0_17) = all_1000_2_1079, leq(all_20_0_17, all_20_0_17) = 0, yields:
% 224.83/176.02 | (4849) all_1000_2_1079 = 0
% 224.83/176.02 |
% 224.83/176.02 | Equations (4849) can reduce 4847 to:
% 224.83/176.02 | (56) $false
% 224.83/176.02 |
% 224.83/176.02 |-The branch is then unsatisfiable
% 224.83/176.02 |-Branch two:
% 224.83/176.02 | (4851) ~ (all_146_2_151 = 0) & leq(all_20_0_17, all_20_0_17) = all_146_2_151
% 224.83/176.02 |
% 224.83/176.02 | Applying alpha-rule on (4851) yields:
% 224.83/176.02 | (4852) ~ (all_146_2_151 = 0)
% 224.83/176.02 | (4853) leq(all_20_0_17, all_20_0_17) = all_146_2_151
% 224.83/176.02 |
% 224.83/176.02 | Instantiating formula (28) with all_20_0_17, all_20_0_17, 0, all_146_2_151 and discharging atoms leq(all_20_0_17, all_20_0_17) = all_146_2_151, leq(all_20_0_17, all_20_0_17) = 0, yields:
% 224.83/176.02 | (4854) all_146_2_151 = 0
% 224.83/176.02 |
% 224.83/176.02 | Equations (4854) can reduce 4852 to:
% 224.83/176.02 | (56) $false
% 224.83/176.02 |
% 224.83/176.02 |-The branch is then unsatisfiable
% 224.83/176.02 |-Branch two:
% 224.83/176.02 | (4856) ~ (all_379_2_354 = 0) & leq(all_0_2_2, all_0_2_2) = all_379_2_354
% 224.83/176.02 |
% 224.83/176.02 | Applying alpha-rule on (4856) yields:
% 224.83/176.02 | (4857) ~ (all_379_2_354 = 0)
% 224.83/176.02 | (4858) leq(all_0_2_2, all_0_2_2) = all_379_2_354
% 224.83/176.02 |
% 224.83/176.02 | Instantiating formula (28) with all_0_2_2, all_0_2_2, 0, all_379_2_354 and discharging atoms leq(all_0_2_2, all_0_2_2) = all_379_2_354, leq(all_0_2_2, all_0_2_2) = 0, yields:
% 224.83/176.02 | (4859) all_379_2_354 = 0
% 224.83/176.02 |
% 224.83/176.02 | Equations (4859) can reduce 4857 to:
% 224.83/176.02 | (56) $false
% 224.83/176.02 |
% 224.83/176.02 |-The branch is then unsatisfiable
% 224.83/176.02 |-Branch two:
% 224.83/176.02 | (4861) ~ (all_1130_2_1226 = 0) & leq(all_20_1_18, one) = all_1130_2_1226
% 224.83/176.02 |
% 224.83/176.02 | Applying alpha-rule on (4861) yields:
% 224.83/176.02 | (4862) ~ (all_1130_2_1226 = 0)
% 224.83/176.02 | (4863) leq(all_20_1_18, one) = all_1130_2_1226
% 224.83/176.02 |
% 224.83/176.02 | From (1658) and (4863) follows:
% 224.83/176.02 | (4864) leq(one, one) = all_1130_2_1226
% 224.83/176.02 |
% 224.83/176.02 | Instantiating formula (28) with one, one, all_1130_2_1226, 0 and discharging atoms leq(one, one) = all_1130_2_1226, leq(one, one) = 0, yields:
% 224.83/176.02 | (4865) all_1130_2_1226 = 0
% 224.83/176.02 |
% 224.83/176.02 | Equations (4865) can reduce 4862 to:
% 224.83/176.02 | (56) $false
% 224.83/176.02 |
% 224.83/176.02 |-The branch is then unsatisfiable
% 224.83/176.02 |-Branch two:
% 224.83/176.02 | (4867) ~ (all_183_2_207 = 0) & leq(zero, all_20_0_17) = all_183_2_207
% 224.83/176.02 |
% 224.83/176.02 | Applying alpha-rule on (4867) yields:
% 224.83/176.02 | (4868) ~ (all_183_2_207 = 0)
% 224.83/176.02 | (4869) leq(zero, all_20_0_17) = all_183_2_207
% 224.83/176.02 |
% 224.83/176.02 | Instantiating formula (28) with zero, all_20_0_17, 0, all_183_2_207 and discharging atoms leq(zero, all_20_0_17) = all_183_2_207, leq(zero, all_20_0_17) = 0, yields:
% 224.83/176.02 | (4870) all_183_2_207 = 0
% 224.83/176.02 |
% 224.83/176.02 | Equations (4870) can reduce 4868 to:
% 224.83/176.02 | (56) $false
% 224.83/176.02 |
% 224.83/176.02 |-The branch is then unsatisfiable
% 224.83/176.02 |-Branch two:
% 224.83/176.02 | (4872) ~ (all_1058_2_1125 = 0) & leq(all_20_0_17, all_20_0_17) = all_1058_2_1125
% 224.83/176.02 |
% 224.83/176.02 | Applying alpha-rule on (4872) yields:
% 224.83/176.02 | (4873) ~ (all_1058_2_1125 = 0)
% 224.83/176.02 | (4874) leq(all_20_0_17, all_20_0_17) = all_1058_2_1125
% 224.83/176.02 |
% 224.83/176.02 | Instantiating formula (28) with all_20_0_17, all_20_0_17, 0, all_1058_2_1125 and discharging atoms leq(all_20_0_17, all_20_0_17) = all_1058_2_1125, leq(all_20_0_17, all_20_0_17) = 0, yields:
% 224.83/176.02 | (4875) all_1058_2_1125 = 0
% 224.83/176.02 |
% 224.83/176.02 | Equations (4875) can reduce 4873 to:
% 224.83/176.02 | (56) $false
% 224.83/176.02 |
% 224.83/176.02 |-The branch is then unsatisfiable
% 224.83/176.02 |-Branch two:
% 224.83/176.02 | (4877) ~ (all_458_2_439 = 0) & leq(all_0_2_2, all_0_2_2) = all_458_2_439
% 224.83/176.02 |
% 224.83/176.02 | Applying alpha-rule on (4877) yields:
% 224.83/176.02 | (4878) ~ (all_458_2_439 = 0)
% 224.83/176.02 | (4879) leq(all_0_2_2, all_0_2_2) = all_458_2_439
% 224.83/176.02 |
% 224.83/176.02 | Instantiating formula (28) with all_0_2_2, all_0_2_2, 0, all_458_2_439 and discharging atoms leq(all_0_2_2, all_0_2_2) = all_458_2_439, leq(all_0_2_2, all_0_2_2) = 0, yields:
% 224.83/176.02 | (4880) all_458_2_439 = 0
% 224.83/176.02 |
% 224.83/176.02 | Equations (4880) can reduce 4878 to:
% 224.83/176.02 | (56) $false
% 224.83/176.02 |
% 224.83/176.02 |-The branch is then unsatisfiable
% 224.83/176.02 |-Branch two:
% 224.83/176.02 | (4882) ~ (all_459_2_442 = 0) & leq(all_0_2_2, all_0_2_2) = all_459_2_442
% 224.83/176.02 |
% 224.83/176.02 | Applying alpha-rule on (4882) yields:
% 224.83/176.02 | (4883) ~ (all_459_2_442 = 0)
% 224.83/176.02 | (4884) leq(all_0_2_2, all_0_2_2) = all_459_2_442
% 224.83/176.02 |
% 224.83/176.02 | Instantiating formula (28) with all_0_2_2, all_0_2_2, 0, all_459_2_442 and discharging atoms leq(all_0_2_2, all_0_2_2) = all_459_2_442, leq(all_0_2_2, all_0_2_2) = 0, yields:
% 224.83/176.02 | (4885) all_459_2_442 = 0
% 224.83/176.02 |
% 224.83/176.02 | Equations (4885) can reduce 4883 to:
% 224.83/176.02 | (56) $false
% 224.83/176.02 |
% 224.83/176.02 |-The branch is then unsatisfiable
% 224.83/176.02 |-Branch two:
% 224.83/176.02 | (4887) ~ (all_978_2_1053 = 0) & leq(all_20_0_17, all_20_0_17) = all_978_2_1053
% 224.83/176.02 |
% 224.83/176.02 | Applying alpha-rule on (4887) yields:
% 224.83/176.02 | (4888) ~ (all_978_2_1053 = 0)
% 224.83/176.03 | (4889) leq(all_20_0_17, all_20_0_17) = all_978_2_1053
% 224.83/176.03 |
% 224.83/176.03 | Instantiating formula (28) with all_20_0_17, all_20_0_17, 0, all_978_2_1053 and discharging atoms leq(all_20_0_17, all_20_0_17) = all_978_2_1053, leq(all_20_0_17, all_20_0_17) = 0, yields:
% 224.83/176.03 | (4890) all_978_2_1053 = 0
% 224.83/176.03 |
% 224.83/176.03 | Equations (4890) can reduce 4888 to:
% 224.83/176.03 | (56) $false
% 224.83/176.03 |
% 224.83/176.03 |-The branch is then unsatisfiable
% 224.83/176.03 |-Branch two:
% 224.83/176.03 | (4892) ~ (all_1209_2_1351 = 0) & leq(all_20_1_18, one) = all_1209_2_1351
% 224.83/176.03 |
% 224.83/176.03 | Applying alpha-rule on (4892) yields:
% 224.83/176.03 | (4893) ~ (all_1209_2_1351 = 0)
% 224.83/176.03 | (4894) leq(all_20_1_18, one) = all_1209_2_1351
% 224.83/176.03 |
% 224.83/176.03 | From (1658) and (4894) follows:
% 224.83/176.03 | (4895) leq(one, one) = all_1209_2_1351
% 224.83/176.03 |
% 224.83/176.03 | Instantiating formula (28) with one, one, all_1209_2_1351, 0 and discharging atoms leq(one, one) = all_1209_2_1351, leq(one, one) = 0, yields:
% 224.83/176.03 | (4896) all_1209_2_1351 = 0
% 224.83/176.03 |
% 224.83/176.03 | Equations (4896) can reduce 4893 to:
% 224.83/176.03 | (56) $false
% 224.83/176.03 |
% 224.83/176.03 |-The branch is then unsatisfiable
% 224.83/176.03 |-Branch two:
% 224.83/176.03 | (4898) ~ (all_40_2_23 = 0) & leq(all_0_2_2, all_0_2_2) = all_40_2_23
% 224.83/176.03 |
% 224.83/176.03 | Applying alpha-rule on (4898) yields:
% 224.83/176.03 | (4899) ~ (all_40_2_23 = 0)
% 224.83/176.03 | (4900) leq(all_0_2_2, all_0_2_2) = all_40_2_23
% 224.83/176.03 |
% 224.83/176.03 | Instantiating formula (28) with all_0_2_2, all_0_2_2, 0, all_40_2_23 and discharging atoms leq(all_0_2_2, all_0_2_2) = all_40_2_23, leq(all_0_2_2, all_0_2_2) = 0, yields:
% 224.83/176.03 | (4901) all_40_2_23 = 0
% 224.83/176.03 |
% 224.83/176.03 | Equations (4901) can reduce 4899 to:
% 224.83/176.03 | (56) $false
% 224.83/176.03 |
% 224.83/176.03 |-The branch is then unsatisfiable
% 224.83/176.03 |-Branch two:
% 224.83/176.03 | (4903) ~ (all_1018_2_1094 = 0) & leq(all_20_1_18, all_20_1_18) = all_1018_2_1094
% 224.83/176.03 |
% 224.83/176.03 | Applying alpha-rule on (4903) yields:
% 224.83/176.03 | (4904) ~ (all_1018_2_1094 = 0)
% 224.83/176.03 | (4905) leq(all_20_1_18, all_20_1_18) = all_1018_2_1094
% 224.83/176.03 |
% 224.83/176.03 | From (1658)(1658) and (4905) follows:
% 224.83/176.03 | (4906) leq(one, one) = all_1018_2_1094
% 224.83/176.03 |
% 224.83/176.03 | Instantiating formula (28) with one, one, all_1018_2_1094, 0 and discharging atoms leq(one, one) = all_1018_2_1094, leq(one, one) = 0, yields:
% 224.83/176.03 | (4907) all_1018_2_1094 = 0
% 224.83/176.03 |
% 224.83/176.03 | Equations (4907) can reduce 4904 to:
% 224.83/176.03 | (56) $false
% 224.83/176.03 |
% 224.83/176.03 |-The branch is then unsatisfiable
% 224.83/176.03 |-Branch two:
% 224.83/176.03 | (4909) ~ (all_579_2_556 = 0) & leq(all_20_1_18, all_20_1_18) = all_579_2_556
% 224.83/176.03 |
% 224.83/176.03 | Applying alpha-rule on (4909) yields:
% 224.83/176.03 | (4910) ~ (all_579_2_556 = 0)
% 224.83/176.03 | (4911) leq(all_20_1_18, all_20_1_18) = all_579_2_556
% 224.83/176.03 |
% 224.83/176.03 | From (1658)(1658) and (4911) follows:
% 224.83/176.03 | (4912) leq(one, one) = all_579_2_556
% 224.83/176.03 |
% 224.83/176.03 | Instantiating formula (28) with one, one, all_579_2_556, 0 and discharging atoms leq(one, one) = all_579_2_556, leq(one, one) = 0, yields:
% 224.83/176.03 | (4913) all_579_2_556 = 0
% 224.83/176.03 |
% 224.83/176.03 | Equations (4913) can reduce 4910 to:
% 224.83/176.03 | (56) $false
% 224.83/176.03 |
% 224.83/176.03 |-The branch is then unsatisfiable
% 224.83/176.03 |-Branch two:
% 224.83/176.03 | (4915) ~ (all_658_2_659 = 0) & leq(zero, all_49_1_36) = all_658_2_659
% 224.83/176.03 |
% 224.83/176.03 | Applying alpha-rule on (4915) yields:
% 224.83/176.03 | (4916) ~ (all_658_2_659 = 0)
% 224.83/176.03 | (4917) leq(zero, all_49_1_36) = all_658_2_659
% 224.83/176.03 |
% 224.83/176.03 | Instantiating formula (28) with zero, all_49_1_36, 0, all_658_2_659 and discharging atoms leq(zero, all_49_1_36) = all_658_2_659, leq(zero, all_49_1_36) = 0, yields:
% 224.83/176.03 | (4918) all_658_2_659 = 0
% 224.83/176.03 |
% 224.83/176.03 | Equations (4918) can reduce 4916 to:
% 224.83/176.03 | (56) $false
% 224.83/176.03 |
% 224.83/176.03 |-The branch is then unsatisfiable
% 224.83/176.03 |-Branch two:
% 224.83/176.03 | (4920) ~ (all_614_2_607 = 0) & leq(one, all_26_0_19) = all_614_2_607
% 224.83/176.03 |
% 224.83/176.03 | Applying alpha-rule on (4920) yields:
% 224.83/176.03 | (4921) ~ (all_614_2_607 = 0)
% 224.83/176.03 | (4922) leq(one, all_26_0_19) = all_614_2_607
% 224.83/176.03 |
% 224.83/176.03 | Instantiating formula (28) with one, all_26_0_19, 0, all_614_2_607 and discharging atoms leq(one, all_26_0_19) = all_614_2_607, leq(one, all_26_0_19) = 0, yields:
% 224.83/176.03 | (4923) all_614_2_607 = 0
% 224.83/176.03 |
% 224.83/176.03 | Equations (4923) can reduce 4921 to:
% 224.83/176.03 | (56) $false
% 224.83/176.03 |
% 224.83/176.03 |-The branch is then unsatisfiable
% 224.83/176.03 |-Branch two:
% 224.83/176.03 | (4925) ~ (all_20_1_18 = one)
% 224.83/176.03 | (4926) ? [v0] : ( ~ (v0 = 0) & leq(all_20_1_18, one) = v0)
% 224.83/176.03 |
% 224.83/176.03 | Instantiating formula (36) with all_20_1_18, one, one, all_20_1_18 and discharging atoms addition(all_20_1_18, one) = all_20_1_18, addition(all_20_1_18, one) = one, yields:
% 224.83/176.03 | (1658) all_20_1_18 = one
% 224.83/176.03 |
% 224.83/176.03 | Equations (1658) can reduce 4925 to:
% 224.83/176.03 | (56) $false
% 224.83/176.03 |
% 224.83/176.03 |-The branch is then unsatisfiable
% 224.83/176.03 |-Branch two:
% 224.83/176.03 | (4929) ~ (all_41_2_26 = 0) & leq(all_0_2_2, all_0_2_2) = all_41_2_26
% 224.83/176.03 |
% 224.83/176.04 | Applying alpha-rule on (4929) yields:
% 224.83/176.04 | (4930) ~ (all_41_2_26 = 0)
% 224.83/176.04 | (4931) leq(all_0_2_2, all_0_2_2) = all_41_2_26
% 224.83/176.04 |
% 224.83/176.04 | Instantiating formula (28) with all_0_2_2, all_0_2_2, 0, all_41_2_26 and discharging atoms leq(all_0_2_2, all_0_2_2) = all_41_2_26, leq(all_0_2_2, all_0_2_2) = 0, yields:
% 224.83/176.04 | (4932) all_41_2_26 = 0
% 224.83/176.04 |
% 224.83/176.04 | Equations (4932) can reduce 4930 to:
% 224.83/176.04 | (56) $false
% 224.83/176.04 |
% 224.83/176.04 |-The branch is then unsatisfiable
% 224.83/176.04 |-Branch two:
% 224.83/176.04 | (4934) ~ (all_130_2_132 = 0) & leq(all_20_1_18, one) = all_130_2_132
% 224.83/176.04 |
% 224.83/176.04 | Applying alpha-rule on (4934) yields:
% 224.83/176.04 | (4935) ~ (all_130_2_132 = 0)
% 224.83/176.04 | (4936) leq(all_20_1_18, one) = all_130_2_132
% 224.83/176.04 |
% 224.83/176.04 | Instantiating formula (28) with all_20_1_18, one, 0, all_130_2_132 and discharging atoms leq(all_20_1_18, one) = all_130_2_132, leq(all_20_1_18, one) = 0, yields:
% 224.83/176.04 | (4937) all_130_2_132 = 0
% 224.83/176.04 |
% 224.83/176.04 | Equations (4937) can reduce 4935 to:
% 224.83/176.04 | (56) $false
% 224.83/176.04 |
% 224.83/176.04 |-The branch is then unsatisfiable
% 224.83/176.04 |-Branch two:
% 224.83/176.04 | (4939) ~ (all_132_2_138 = 0) & leq(all_20_1_18, one) = all_132_2_138
% 224.83/176.04 |
% 224.83/176.04 | Applying alpha-rule on (4939) yields:
% 224.83/176.04 | (4940) ~ (all_132_2_138 = 0)
% 224.83/176.04 | (4941) leq(all_20_1_18, one) = all_132_2_138
% 224.83/176.04 |
% 224.83/176.04 | Instantiating formula (28) with all_20_1_18, one, 0, all_132_2_138 and discharging atoms leq(all_20_1_18, one) = all_132_2_138, leq(all_20_1_18, one) = 0, yields:
% 224.83/176.04 | (4942) all_132_2_138 = 0
% 224.83/176.04 |
% 224.83/176.04 | Equations (4942) can reduce 4940 to:
% 224.83/176.04 | (56) $false
% 224.83/176.04 |
% 224.83/176.04 |-The branch is then unsatisfiable
% 224.83/176.04 |-Branch two:
% 224.83/176.04 | (4944) ~ (all_127_2_123 = 0) & leq(one, all_0_2_2) = all_127_2_123
% 224.83/176.04 |
% 224.83/176.04 | Applying alpha-rule on (4944) yields:
% 224.83/176.04 | (4945) ~ (all_127_2_123 = 0)
% 224.83/176.04 | (4946) leq(one, all_0_2_2) = all_127_2_123
% 224.83/176.04 |
% 224.83/176.04 | Instantiating formula (28) with one, all_0_2_2, 0, all_127_2_123 and discharging atoms leq(one, all_0_2_2) = all_127_2_123, leq(one, all_0_2_2) = 0, yields:
% 224.83/176.04 | (4947) all_127_2_123 = 0
% 224.83/176.04 |
% 224.83/176.04 | Equations (4947) can reduce 4945 to:
% 224.83/176.04 | (56) $false
% 224.83/176.04 |
% 224.83/176.04 |-The branch is then unsatisfiable
% 224.83/176.04 |-Branch two:
% 224.83/176.04 | (4949) ~ (all_169_2_182 = 0) & leq(one, one) = all_169_2_182
% 224.83/176.04 |
% 224.83/176.04 | Applying alpha-rule on (4949) yields:
% 224.83/176.04 | (4950) ~ (all_169_2_182 = 0)
% 224.83/176.04 | (4951) leq(one, one) = all_169_2_182
% 224.83/176.04 |
% 224.83/176.04 | Instantiating formula (28) with one, one, 0, all_169_2_182 and discharging atoms leq(one, one) = all_169_2_182, leq(one, one) = 0, yields:
% 224.83/176.04 | (4952) all_169_2_182 = 0
% 224.83/176.04 |
% 224.83/176.04 | Equations (4952) can reduce 4950 to:
% 224.83/176.04 | (56) $false
% 224.83/176.04 |
% 224.83/176.04 |-The branch is then unsatisfiable
% 224.83/176.04 |-Branch two:
% 224.83/176.04 | (4954) ~ (all_110_2_102 = 0) & leq(one, all_0_2_2) = all_110_2_102
% 224.83/176.04 |
% 224.83/176.04 | Applying alpha-rule on (4954) yields:
% 224.83/176.04 | (4955) ~ (all_110_2_102 = 0)
% 224.83/176.04 | (4956) leq(one, all_0_2_2) = all_110_2_102
% 224.83/176.04 |
% 224.83/176.04 | Instantiating formula (28) with one, all_0_2_2, 0, all_110_2_102 and discharging atoms leq(one, all_0_2_2) = all_110_2_102, leq(one, all_0_2_2) = 0, yields:
% 224.83/176.04 | (4957) all_110_2_102 = 0
% 224.83/176.04 |
% 224.83/176.04 | Equations (4957) can reduce 4955 to:
% 224.83/176.04 | (56) $false
% 224.83/176.04 |
% 224.83/176.04 |-The branch is then unsatisfiable
% 224.83/176.04 |-Branch two:
% 224.83/176.04 | (4959) ~ (all_131_2_135 = 0) & leq(one, all_20_1_18) = all_131_2_135
% 224.83/176.04 |
% 224.83/176.04 | Applying alpha-rule on (4959) yields:
% 224.83/176.04 | (4960) ~ (all_131_2_135 = 0)
% 224.83/176.04 | (4961) leq(one, all_20_1_18) = all_131_2_135
% 224.83/176.04 |
% 224.83/176.04 | Instantiating formula (28) with one, all_20_1_18, 0, all_131_2_135 and discharging atoms leq(one, all_20_1_18) = all_131_2_135, leq(one, all_20_1_18) = 0, yields:
% 224.83/176.04 | (4962) all_131_2_135 = 0
% 224.83/176.04 |
% 224.83/176.04 | Equations (4962) can reduce 4960 to:
% 224.83/176.04 | (56) $false
% 224.83/176.04 |
% 224.83/176.04 |-The branch is then unsatisfiable
% 224.83/176.04 |-Branch two:
% 224.83/176.04 | (4964) ~ (all_129_2_129 = 0) & leq(one, all_0_2_2) = all_129_2_129
% 224.83/176.04 |
% 224.83/176.04 | Applying alpha-rule on (4964) yields:
% 224.83/176.04 | (4965) ~ (all_129_2_129 = 0)
% 224.83/176.04 | (4966) leq(one, all_0_2_2) = all_129_2_129
% 224.83/176.04 |
% 224.83/176.04 | Instantiating formula (28) with one, all_0_2_2, 0, all_129_2_129 and discharging atoms leq(one, all_0_2_2) = all_129_2_129, leq(one, all_0_2_2) = 0, yields:
% 224.83/176.04 | (4967) all_129_2_129 = 0
% 224.83/176.04 |
% 224.83/176.04 | Equations (4967) can reduce 4965 to:
% 224.83/176.04 | (56) $false
% 224.83/176.04 |
% 224.83/176.04 |-The branch is then unsatisfiable
% 224.83/176.04 |-Branch two:
% 224.83/176.04 | (4969) ~ (all_194_2_226 = 0) & leq(one, one) = all_194_2_226
% 224.83/176.04 |
% 224.83/176.04 | Applying alpha-rule on (4969) yields:
% 224.83/176.04 | (4970) ~ (all_194_2_226 = 0)
% 224.83/176.04 | (4971) leq(one, one) = all_194_2_226
% 224.83/176.04 |
% 224.83/176.04 | Instantiating formula (28) with one, one, 0, all_194_2_226 and discharging atoms leq(one, one) = all_194_2_226, leq(one, one) = 0, yields:
% 224.83/176.04 | (4972) all_194_2_226 = 0
% 224.83/176.04 |
% 224.83/176.04 | Equations (4972) can reduce 4970 to:
% 224.83/176.04 | (56) $false
% 224.83/176.04 |
% 224.83/176.04 |-The branch is then unsatisfiable
% 224.83/176.04 |-Branch two:
% 224.83/176.05 | (4974) ~ (all_168_2_179 = 0) & leq(one, one) = all_168_2_179
% 224.83/176.05 |
% 224.83/176.05 | Applying alpha-rule on (4974) yields:
% 224.83/176.05 | (4975) ~ (all_168_2_179 = 0)
% 224.83/176.05 | (4976) leq(one, one) = all_168_2_179
% 224.83/176.05 |
% 224.83/176.05 | Instantiating formula (28) with one, one, 0, all_168_2_179 and discharging atoms leq(one, one) = all_168_2_179, leq(one, one) = 0, yields:
% 224.83/176.05 | (4977) all_168_2_179 = 0
% 224.83/176.05 |
% 224.83/176.05 | Equations (4977) can reduce 4975 to:
% 224.83/176.05 | (56) $false
% 224.83/176.05 |
% 224.83/176.05 |-The branch is then unsatisfiable
% 224.83/176.05 % SZS output end Proof for theBenchmark
% 224.83/176.05
% 224.83/176.05 175560ms
%------------------------------------------------------------------------------