TSTP Solution File: KLE040+1 by ePrincess---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : KLE040+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n004.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 01:51:05 EDT 2022
% Result : Theorem 52.21s 23.54s
% Output : Proof 187.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : KLE040+1 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.14 % Command : ePrincess-casc -timeout=%d %s
% 0.15/0.36 % Computer : n004.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Thu Jun 16 16:26:09 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.52/0.61 ____ _
% 0.52/0.61 ___ / __ \_____(_)___ ________ __________
% 0.52/0.61 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.52/0.61 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.52/0.61 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.52/0.61
% 0.52/0.61 A Theorem Prover for First-Order Logic
% 0.52/0.61 (ePrincess v.1.0)
% 0.52/0.61
% 0.52/0.61 (c) Philipp Rümmer, 2009-2015
% 0.52/0.61 (c) Peter Backeman, 2014-2015
% 0.52/0.61 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.52/0.61 Free software under GNU Lesser General Public License (LGPL).
% 0.52/0.61 Bug reports to peter@backeman.se
% 0.52/0.61
% 0.52/0.61 For more information, visit http://user.uu.se/~petba168/breu/
% 0.52/0.61
% 0.52/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.69/0.66 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.63/1.00 Prover 0: Preprocessing ...
% 2.32/1.25 Prover 0: Constructing countermodel ...
% 21.04/5.95 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 21.41/5.98 Prover 1: Preprocessing ...
% 21.69/6.06 Prover 1: Constructing countermodel ...
% 21.69/6.11 Prover 1: gave up
% 21.69/6.11 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 21.69/6.13 Prover 2: Preprocessing ...
% 22.16/6.18 Prover 2: Warning: ignoring some quantifiers
% 22.16/6.19 Prover 2: Constructing countermodel ...
% 29.15/7.85 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 29.24/7.87 Prover 3: Preprocessing ...
% 29.24/7.89 Prover 3: Constructing countermodel ...
% 29.24/7.90 Prover 3: gave up
% 29.24/7.90 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete
% 29.24/7.91 Prover 4: Preprocessing ...
% 29.58/7.95 Prover 4: Warning: ignoring some quantifiers
% 29.58/7.95 Prover 4: Constructing countermodel ...
% 35.30/10.24 Prover 0: stopped
% 35.49/10.44 Prover 5: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 35.59/10.46 Prover 5: Preprocessing ...
% 35.59/10.50 Prover 5: Constructing countermodel ...
% 52.21/23.54 Prover 2: proved (2189ms)
% 52.21/23.54 Prover 5: stopped
% 52.21/23.54 Prover 4: stopped
% 52.21/23.54
% 52.21/23.54 No countermodel exists, formula is valid
% 52.21/23.54 % SZS status Theorem for theBenchmark
% 52.21/23.54
% 52.21/23.54 Generating proof ... Warning: ignoring some quantifiers
% 186.75/138.23 found it (size 737)
% 186.75/138.23
% 186.75/138.23 % SZS output start Proof for theBenchmark
% 186.75/138.23 Assumed formulas after preprocessing and simplification:
% 186.75/138.23 | (0) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & star(v0) = v1 & multiplication(v1, v1) = v2 & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v8 = 0 | ~ (star(v4) = v6) | ~ (leq(v7, v3) = v8) | ~ (multiplication(v5, v6) = v7) | ? [v9] : ? [v10] : ? [v11] : ( ~ (v11 = 0) & leq(v10, v3) = v11 & multiplication(v3, v4) = v9 & addition(v9, v5) = v10)) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v8 = 0 | ~ (star(v3) = v6) | ~ (leq(v7, v4) = v8) | ~ (multiplication(v6, v5) = v7) | ? [v9] : ? [v10] : ? [v11] : ( ~ (v11 = 0) & leq(v10, v4) = v11 & multiplication(v3, v4) = v9 & addition(v9, v5) = 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(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, v4) = v6) | ~ (addition(v6, v5) = v7) | ? [v8] : ? [v9] : ? [v10] : ((v10 = 0 & star(v4) = v8 & leq(v9, v3) = 0 & multiplication(v5, v8) = v9) | ( ~ (v8 = 0) & leq(v7, v3) = v8))) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (multiplication(v3, v4) = v6) | ~ (addition(v6, v5) = v7) | ? [v8] : ? [v9] : ? [v10] : ((v10 = 0 & star(v3) = v8 & leq(v9, v4) = 0 & multiplication(v8, v5) = v9) | ( ~ (v8 = 0) & leq(v7, v4) = 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 | ~ (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(v3, zero) = v4)) & ! [v3] : ! [v4] : (v4 = zero | ~ (multiplication(zero, v3) = v4)) & ! [v3] : ! [v4] : ( ~ (star(v3) = v4) | ? [v5] : ? [v6] : (leq(v6, v4) = 0 & multiplication(v4, v3) = v5 & addition(one, v5) = v6)) & ! [v3] : ! [v4] : ( ~ (star(v3) = v4) | ? [v5] : ? [v6] : (leq(v6, v4) = 0 & multiplication(v3, v4) = v5 & addition(one, v5) = v6)) & ! [v3] : ! [v4] : ( ~ (leq(v3, v4) = 0) | addition(v3, v4) = 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] : star(v3) = v4)
% 186.75/138.27 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2 yields:
% 186.75/138.27 | (1) ~ (all_0_0_0 = all_0_1_1) & star(all_0_2_2) = all_0_1_1 & multiplication(all_0_1_1, all_0_1_1) = all_0_0_0 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (star(v1) = v3) | ~ (leq(v4, v0) = v5) | ~ (multiplication(v2, v3) = v4) | ? [v6] : ? [v7] : ? [v8] : ( ~ (v8 = 0) & leq(v7, v0) = v8 & multiplication(v0, v1) = v6 & addition(v6, v2) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (star(v0) = v3) | ~ (leq(v4, v1) = v5) | ~ (multiplication(v3, v2) = v4) | ? [v6] : ? [v7] : ? [v8] : ( ~ (v8 = 0) & leq(v7, v1) = v8 & multiplication(v0, v1) = v6 & addition(v6, v2) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (multiplication(v1, v2) = v4) | ~ (multiplication(v0, v2) = v3) | ~ (addition(v3, v4) = v5) | ? [v6] : (multiplication(v6, v2) = v5 & addition(v0, v1) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (multiplication(v0, v2) = v4) | ~ (multiplication(v0, v1) = v3) | ~ (addition(v3, v4) = v5) | ? [v6] : (multiplication(v0, v6) = v5 & addition(v1, v2) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v3, v2) = v4) | ~ (multiplication(v0, v1) = v3) | ? [v5] : (multiplication(v1, v2) = v5 & multiplication(v0, v5) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v3, v2) = v4) | ~ (addition(v0, v1) = v3) | ? [v5] : ? [v6] : (multiplication(v1, v2) = v6 & multiplication(v0, v2) = v5 & addition(v5, v6) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v1, v2) = v3) | ~ (multiplication(v0, v3) = v4) | ? [v5] : (multiplication(v5, v2) = v4 & multiplication(v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v0, v3) = v4) | ~ (addition(v1, v2) = v3) | ? [v5] : ? [v6] : (multiplication(v0, v2) = v6 & multiplication(v0, v1) = v5 & addition(v5, v6) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v0, v1) = v3) | ~ (addition(v3, v2) = v4) | ? [v5] : ? [v6] : ? [v7] : ((v7 = 0 & star(v1) = v5 & leq(v6, v0) = 0 & multiplication(v2, v5) = v6) | ( ~ (v5 = 0) & leq(v4, v0) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v0, v1) = v3) | ~ (addition(v3, v2) = v4) | ? [v5] : ? [v6] : ? [v7] : ((v7 = 0 & star(v0) = v5 & leq(v6, v1) = 0 & multiplication(v5, v2) = v6) | ( ~ (v5 = 0) & leq(v4, v1) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (addition(v3, v0) = v4) | ~ (addition(v2, v1) = v3) | ? [v5] : (addition(v2, v5) = v4 & addition(v1, v0) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (addition(v2, v3) = v4) | ~ (addition(v1, v0) = v3) | ? [v5] : (addition(v5, v0) = v4 & addition(v2, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (multiplication(v3, v2) = v1) | ~ (multiplication(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (addition(v3, v2) = v1) | ~ (addition(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (addition(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (leq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = v1) & addition(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (star(v2) = v1) | ~ (star(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (addition(v1, v0) = v2) | addition(v0, v1) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (addition(v0, v1) = v2) | addition(v1, v0) = v2) & ! [v0] : ! [v1] : (v1 = v0 | ~ (multiplication(v0, one) = v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (multiplication(one, v0) = v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (addition(v0, v0) = v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (addition(v0, zero) = v1)) & ! [v0] : ! [v1] : (v1 = zero | ~ (multiplication(v0, zero) = v1)) & ! [v0] : ! [v1] : (v1 = zero | ~ (multiplication(zero, v0) = v1)) & ! [v0] : ! [v1] : ( ~ (star(v0) = v1) | ? [v2] : ? [v3] : (leq(v3, v1) = 0 & multiplication(v1, v0) = v2 & addition(one, v2) = v3)) & ! [v0] : ! [v1] : ( ~ (star(v0) = v1) | ? [v2] : ? [v3] : (leq(v3, v1) = 0 & multiplication(v0, v1) = v2 & addition(one, v2) = v3)) & ! [v0] : ! [v1] : ( ~ (leq(v0, v1) = 0) | addition(v0, v1) = v1) & ! [v0] : ! [v1] : ( ~ (addition(v0, v1) = v1) | leq(v0, v1) = 0) & ? [v0] : ? [v1] : ? [v2] : leq(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : multiplication(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : addition(v1, v0) = v2 & ? [v0] : ? [v1] : star(v0) = v1
% 187.13/138.29 |
% 187.13/138.29 | Applying alpha-rule on (1) yields:
% 187.13/138.29 | (2) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v1, v2) = v3) | ~ (multiplication(v0, v3) = v4) | ? [v5] : (multiplication(v5, v2) = v4 & multiplication(v0, v1) = v5))
% 187.13/138.29 | (3) ! [v0] : ! [v1] : ( ~ (star(v0) = v1) | ? [v2] : ? [v3] : (leq(v3, v1) = 0 & multiplication(v0, v1) = v2 & addition(one, v2) = v3))
% 187.13/138.29 | (4) ! [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))
% 187.13/138.29 | (5) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v0, v1) = v3) | ~ (addition(v3, v2) = v4) | ? [v5] : ? [v6] : ? [v7] : ((v7 = 0 & star(v0) = v5 & leq(v6, v1) = 0 & multiplication(v5, v2) = v6) | ( ~ (v5 = 0) & leq(v4, v1) = v5)))
% 187.13/138.29 | (6) ! [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))
% 187.13/138.29 | (7) ~ (all_0_0_0 = all_0_1_1)
% 187.13/138.29 | (8) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v3, v2) = v4) | ~ (multiplication(v0, v1) = v3) | ? [v5] : (multiplication(v1, v2) = v5 & multiplication(v0, v5) = v4))
% 187.13/138.29 | (9) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (addition(v3, v0) = v4) | ~ (addition(v2, v1) = v3) | ? [v5] : (addition(v2, v5) = v4 & addition(v1, v0) = v5))
% 187.13/138.29 | (10) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0))
% 187.13/138.29 | (11) ! [v0] : ! [v1] : ! [v2] : ( ~ (addition(v0, v1) = v2) | addition(v1, v0) = v2)
% 187.13/138.29 | (12) ! [v0] : ! [v1] : ! [v2] : ( ~ (addition(v1, v0) = v2) | addition(v0, v1) = v2)
% 187.13/138.29 | (13) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (addition(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & leq(v0, v1) = v3))
% 187.13/138.29 | (14) ? [v0] : ? [v1] : ? [v2] : multiplication(v1, v0) = v2
% 187.13/138.29 | (15) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (star(v0) = v3) | ~ (leq(v4, v1) = v5) | ~ (multiplication(v3, v2) = v4) | ? [v6] : ? [v7] : ? [v8] : ( ~ (v8 = 0) & leq(v7, v1) = v8 & multiplication(v0, v1) = v6 & addition(v6, v2) = v7))
% 187.13/138.29 | (16) ! [v0] : ! [v1] : (v1 = zero | ~ (multiplication(v0, zero) = v1))
% 187.13/138.29 | (17) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v0, v1) = v3) | ~ (addition(v3, v2) = v4) | ? [v5] : ? [v6] : ? [v7] : ((v7 = 0 & star(v1) = v5 & leq(v6, v0) = 0 & multiplication(v2, v5) = v6) | ( ~ (v5 = 0) & leq(v4, v0) = v5)))
% 187.13/138.30 | (18) ! [v0] : ! [v1] : (v1 = v0 | ~ (addition(v0, v0) = v1))
% 187.13/138.30 | (19) ? [v0] : ? [v1] : ? [v2] : addition(v1, v0) = v2
% 187.13/138.30 | (20) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (star(v2) = v1) | ~ (star(v2) = v0))
% 187.13/138.30 | (21) multiplication(all_0_1_1, all_0_1_1) = all_0_0_0
% 187.13/138.30 | (22) ! [v0] : ! [v1] : ( ~ (addition(v0, v1) = v1) | leq(v0, v1) = 0)
% 187.13/138.30 | (23) ! [v0] : ! [v1] : ( ~ (leq(v0, v1) = 0) | addition(v0, v1) = v1)
% 187.13/138.30 | (24) ! [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))
% 187.13/138.30 | (25) ! [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))
% 187.13/138.30 | (26) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (star(v1) = v3) | ~ (leq(v4, v0) = v5) | ~ (multiplication(v2, v3) = v4) | ? [v6] : ? [v7] : ? [v8] : ( ~ (v8 = 0) & leq(v7, v0) = v8 & multiplication(v0, v1) = v6 & addition(v6, v2) = v7))
% 187.13/138.30 | (27) ! [v0] : ! [v1] : (v1 = v0 | ~ (multiplication(v0, one) = v1))
% 187.13/138.30 | (28) ? [v0] : ? [v1] : ? [v2] : leq(v1, v0) = v2
% 187.13/138.30 | (29) ! [v0] : ! [v1] : (v1 = v0 | ~ (addition(v0, zero) = v1))
% 187.13/138.30 | (30) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (addition(v3, v2) = v1) | ~ (addition(v3, v2) = v0))
% 187.13/138.30 | (31) ! [v0] : ! [v1] : ( ~ (star(v0) = v1) | ? [v2] : ? [v3] : (leq(v3, v1) = 0 & multiplication(v1, v0) = v2 & addition(one, v2) = v3))
% 187.13/138.30 | (32) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (addition(v2, v3) = v4) | ~ (addition(v1, v0) = v3) | ? [v5] : (addition(v5, v0) = v4 & addition(v2, v1) = v5))
% 187.13/138.30 | (33) ! [v0] : ! [v1] : (v1 = v0 | ~ (multiplication(one, v0) = v1))
% 187.13/138.30 | (34) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (multiplication(v3, v2) = v1) | ~ (multiplication(v3, v2) = v0))
% 187.13/138.30 | (35) ! [v0] : ! [v1] : (v1 = zero | ~ (multiplication(zero, v0) = v1))
% 187.13/138.30 | (36) ? [v0] : ? [v1] : star(v0) = v1
% 187.13/138.30 | (37) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (leq(v0, v1) = v2) | ? [v3] : ( ~ (v3 = v1) & addition(v0, v1) = v3))
% 187.21/138.30 | (38) star(all_0_2_2) = all_0_1_1
% 187.21/138.30 |
% 187.21/138.30 | Instantiating formula (31) with all_0_1_1, all_0_2_2 and discharging atoms star(all_0_2_2) = all_0_1_1, yields:
% 187.21/138.30 | (39) ? [v0] : ? [v1] : (leq(v1, all_0_1_1) = 0 & multiplication(all_0_1_1, all_0_2_2) = v0 & addition(one, v0) = v1)
% 187.21/138.30 |
% 187.21/138.30 | Instantiating formula (3) with all_0_1_1, all_0_2_2 and discharging atoms star(all_0_2_2) = all_0_1_1, yields:
% 187.21/138.30 | (40) ? [v0] : ? [v1] : (leq(v1, all_0_1_1) = 0 & multiplication(all_0_2_2, all_0_1_1) = v0 & addition(one, v0) = v1)
% 187.21/138.30 |
% 187.21/138.30 | Instantiating (40) with all_16_0_14, all_16_1_15 yields:
% 187.21/138.30 | (41) leq(all_16_0_14, all_0_1_1) = 0 & multiplication(all_0_2_2, all_0_1_1) = all_16_1_15 & addition(one, all_16_1_15) = all_16_0_14
% 187.21/138.30 |
% 187.21/138.30 | Applying alpha-rule on (41) yields:
% 187.21/138.30 | (42) leq(all_16_0_14, all_0_1_1) = 0
% 187.21/138.30 | (43) multiplication(all_0_2_2, all_0_1_1) = all_16_1_15
% 187.21/138.30 | (44) addition(one, all_16_1_15) = all_16_0_14
% 187.21/138.30 |
% 187.21/138.30 | Instantiating (39) with all_18_0_16, all_18_1_17 yields:
% 187.21/138.30 | (45) leq(all_18_0_16, all_0_1_1) = 0 & multiplication(all_0_1_1, all_0_2_2) = all_18_1_17 & addition(one, all_18_1_17) = all_18_0_16
% 187.21/138.30 |
% 187.21/138.30 | Applying alpha-rule on (45) yields:
% 187.21/138.30 | (46) leq(all_18_0_16, all_0_1_1) = 0
% 187.21/138.30 | (47) multiplication(all_0_1_1, all_0_2_2) = all_18_1_17
% 187.21/138.30 | (48) addition(one, all_18_1_17) = all_18_0_16
% 187.21/138.30 |
% 187.21/138.30 | Instantiating formula (23) with all_0_1_1, all_18_0_16 and discharging atoms leq(all_18_0_16, all_0_1_1) = 0, yields:
% 187.21/138.30 | (49) addition(all_18_0_16, all_0_1_1) = all_0_1_1
% 187.21/138.30 |
% 187.21/138.30 | Instantiating formula (23) with all_0_1_1, all_16_0_14 and discharging atoms leq(all_16_0_14, all_0_1_1) = 0, yields:
% 187.21/138.30 | (50) addition(all_16_0_14, all_0_1_1) = all_0_1_1
% 187.21/138.30 |
% 187.21/138.30 | Instantiating formula (12) with all_18_0_16, one, all_18_1_17 and discharging atoms addition(one, all_18_1_17) = all_18_0_16, yields:
% 187.21/138.30 | (51) addition(all_18_1_17, one) = all_18_0_16
% 187.21/138.30 |
% 187.21/138.30 | Instantiating formula (12) with all_16_0_14, one, all_16_1_15 and discharging atoms addition(one, all_16_1_15) = all_16_0_14, yields:
% 187.21/138.30 | (52) addition(all_16_1_15, one) = all_16_0_14
% 187.21/138.30 |
% 187.21/138.30 | Instantiating formula (6) with all_0_0_0, all_0_1_1, all_0_1_1, all_0_1_1, all_18_0_16 and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_0_0_0, addition(all_18_0_16, all_0_1_1) = all_0_1_1, yields:
% 187.21/138.31 | (53) ? [v0] : ? [v1] : (multiplication(all_18_0_16, all_0_1_1) = v0 & multiplication(all_0_1_1, all_0_1_1) = v1 & addition(v0, v1) = all_0_0_0)
% 187.21/138.31 |
% 187.21/138.31 | Instantiating formula (24) with all_0_0_0, all_0_1_1, all_0_1_1, all_18_0_16, all_0_1_1 and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_0_0_0, addition(all_18_0_16, all_0_1_1) = all_0_1_1, yields:
% 187.21/138.31 | (54) ? [v0] : ? [v1] : (multiplication(all_0_1_1, all_18_0_16) = v0 & multiplication(all_0_1_1, all_0_1_1) = v1 & addition(v0, v1) = all_0_0_0)
% 187.21/138.31 |
% 187.21/138.31 | Instantiating formula (6) with all_18_1_17, all_0_1_1, all_0_2_2, all_0_1_1, all_18_0_16 and discharging atoms multiplication(all_0_1_1, all_0_2_2) = all_18_1_17, addition(all_18_0_16, all_0_1_1) = all_0_1_1, yields:
% 187.21/138.31 | (55) ? [v0] : ? [v1] : (multiplication(all_18_0_16, all_0_2_2) = v0 & multiplication(all_0_1_1, all_0_2_2) = v1 & addition(v0, v1) = all_18_1_17)
% 187.21/138.31 |
% 187.21/138.31 | Instantiating formula (24) with all_16_1_15, all_0_1_1, all_0_1_1, all_18_0_16, all_0_2_2 and discharging atoms multiplication(all_0_2_2, all_0_1_1) = all_16_1_15, addition(all_18_0_16, all_0_1_1) = all_0_1_1, yields:
% 187.21/138.31 | (56) ? [v0] : ? [v1] : (multiplication(all_0_2_2, all_18_0_16) = v0 & multiplication(all_0_2_2, all_0_1_1) = v1 & addition(v0, v1) = all_16_1_15)
% 187.21/138.31 |
% 187.21/138.31 | Instantiating formula (9) with all_0_1_1, all_18_0_16, one, all_18_1_17, all_0_1_1 and discharging atoms addition(all_18_0_16, all_0_1_1) = all_0_1_1, addition(one, all_18_1_17) = all_18_0_16, yields:
% 187.21/138.31 | (57) ? [v0] : (addition(all_18_1_17, all_0_1_1) = v0 & addition(one, v0) = all_0_1_1)
% 187.21/138.31 |
% 187.21/138.31 | Instantiating formula (32) with all_0_1_1, all_0_1_1, all_18_0_16, all_18_0_16, all_0_1_1 and discharging atoms addition(all_18_0_16, all_0_1_1) = all_0_1_1, yields:
% 187.21/138.31 | (58) ? [v0] : (addition(v0, all_0_1_1) = all_0_1_1 & addition(all_18_0_16, all_18_0_16) = v0)
% 187.21/138.31 |
% 187.21/138.31 | Instantiating formula (12) with all_0_1_1, all_18_0_16, all_0_1_1 and discharging atoms addition(all_18_0_16, all_0_1_1) = all_0_1_1, yields:
% 187.21/138.31 | (59) addition(all_0_1_1, all_18_0_16) = all_0_1_1
% 187.21/138.31 |
% 187.21/138.31 | Instantiating formula (17) with all_18_0_16, all_18_1_17, one, all_0_2_2, all_0_1_1 and discharging atoms multiplication(all_0_1_1, all_0_2_2) = all_18_1_17, addition(all_18_1_17, one) = all_18_0_16, yields:
% 187.21/138.31 | (60) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & star(all_0_2_2) = v0 & leq(v1, all_0_1_1) = 0 & multiplication(one, v0) = v1) | ( ~ (v0 = 0) & leq(all_18_0_16, all_0_1_1) = v0))
% 187.21/138.31 |
% 187.21/138.31 | Instantiating formula (9) with all_0_1_1, all_18_0_16, all_18_1_17, one, all_0_1_1 and discharging atoms addition(all_18_0_16, all_0_1_1) = all_0_1_1, addition(all_18_1_17, one) = all_18_0_16, yields:
% 187.21/138.31 | (61) ? [v0] : (addition(all_18_1_17, v0) = all_0_1_1 & addition(one, all_0_1_1) = v0)
% 187.21/138.31 |
% 187.21/138.31 | Instantiating formula (6) with all_0_0_0, all_0_1_1, all_0_1_1, all_0_1_1, all_16_0_14 and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_0_0_0, addition(all_16_0_14, all_0_1_1) = all_0_1_1, yields:
% 187.21/138.31 | (62) ? [v0] : ? [v1] : (multiplication(all_16_0_14, all_0_1_1) = v0 & multiplication(all_0_1_1, all_0_1_1) = v1 & addition(v0, v1) = all_0_0_0)
% 187.21/138.31 |
% 187.21/138.31 | Instantiating formula (24) with all_0_0_0, all_0_1_1, all_0_1_1, all_16_0_14, all_0_1_1 and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_0_0_0, addition(all_16_0_14, all_0_1_1) = all_0_1_1, yields:
% 187.21/138.31 | (63) ? [v0] : ? [v1] : (multiplication(all_0_1_1, all_16_0_14) = v0 & multiplication(all_0_1_1, all_0_1_1) = v1 & addition(v0, v1) = all_0_0_0)
% 187.21/138.31 |
% 187.21/138.31 | Instantiating formula (6) with all_18_1_17, all_0_1_1, all_0_2_2, all_0_1_1, all_16_0_14 and discharging atoms multiplication(all_0_1_1, all_0_2_2) = all_18_1_17, addition(all_16_0_14, all_0_1_1) = all_0_1_1, yields:
% 187.21/138.31 | (64) ? [v0] : ? [v1] : (multiplication(all_16_0_14, all_0_2_2) = v0 & multiplication(all_0_1_1, all_0_2_2) = v1 & addition(v0, v1) = all_18_1_17)
% 187.21/138.31 |
% 187.21/138.31 | Instantiating formula (24) with all_16_1_15, all_0_1_1, all_0_1_1, all_16_0_14, all_0_2_2 and discharging atoms multiplication(all_0_2_2, all_0_1_1) = all_16_1_15, addition(all_16_0_14, all_0_1_1) = all_0_1_1, yields:
% 187.21/138.31 | (65) ? [v0] : ? [v1] : (multiplication(all_0_2_2, all_16_0_14) = v0 & multiplication(all_0_2_2, all_0_1_1) = v1 & addition(v0, v1) = all_16_1_15)
% 187.21/138.31 |
% 187.21/138.31 | Instantiating formula (9) with all_0_1_1, all_16_0_14, one, all_16_1_15, all_0_1_1 and discharging atoms addition(all_16_0_14, all_0_1_1) = all_0_1_1, addition(one, all_16_1_15) = all_16_0_14, yields:
% 187.21/138.31 | (66) ? [v0] : (addition(all_16_1_15, all_0_1_1) = v0 & addition(one, v0) = all_0_1_1)
% 187.21/138.31 |
% 187.21/138.31 | Instantiating formula (32) with all_0_1_1, all_0_1_1, all_16_0_14, all_18_0_16, all_0_1_1 and discharging atoms addition(all_18_0_16, all_0_1_1) = all_0_1_1, addition(all_16_0_14, all_0_1_1) = all_0_1_1, yields:
% 187.21/138.31 | (67) ? [v0] : (addition(v0, all_0_1_1) = all_0_1_1 & addition(all_16_0_14, all_18_0_16) = v0)
% 187.21/138.31 |
% 187.21/138.31 | Instantiating formula (32) with all_0_1_1, all_0_1_1, all_18_0_16, all_16_0_14, all_0_1_1 and discharging atoms addition(all_18_0_16, all_0_1_1) = all_0_1_1, addition(all_16_0_14, all_0_1_1) = all_0_1_1, yields:
% 187.21/138.31 | (68) ? [v0] : (addition(v0, all_0_1_1) = all_0_1_1 & addition(all_18_0_16, all_16_0_14) = v0)
% 187.21/138.31 |
% 187.21/138.31 | Instantiating formula (32) with all_0_1_1, all_0_1_1, all_16_0_14, all_16_0_14, all_0_1_1 and discharging atoms addition(all_16_0_14, all_0_1_1) = all_0_1_1, yields:
% 187.21/138.31 | (69) ? [v0] : (addition(v0, all_0_1_1) = all_0_1_1 & addition(all_16_0_14, all_16_0_14) = v0)
% 187.21/138.31 |
% 187.21/138.31 | Instantiating formula (12) with all_0_1_1, all_16_0_14, all_0_1_1 and discharging atoms addition(all_16_0_14, all_0_1_1) = all_0_1_1, yields:
% 187.21/138.31 | (70) addition(all_0_1_1, all_16_0_14) = all_0_1_1
% 187.21/138.31 |
% 187.21/138.31 | Instantiating formula (5) with all_16_0_14, all_16_1_15, one, all_0_1_1, all_0_2_2 and discharging atoms multiplication(all_0_2_2, all_0_1_1) = all_16_1_15, addition(all_16_1_15, one) = all_16_0_14, yields:
% 187.21/138.31 | (71) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & star(all_0_2_2) = v0 & leq(v1, all_0_1_1) = 0 & multiplication(v0, one) = v1) | ( ~ (v0 = 0) & leq(all_16_0_14, all_0_1_1) = v0))
% 187.21/138.31 |
% 187.21/138.31 | Instantiating formula (9) with all_0_1_1, all_16_0_14, all_16_1_15, one, all_0_1_1 and discharging atoms addition(all_16_0_14, all_0_1_1) = all_0_1_1, addition(all_16_1_15, one) = all_16_0_14, yields:
% 187.21/138.31 | (72) ? [v0] : (addition(all_16_1_15, v0) = all_0_1_1 & addition(one, all_0_1_1) = v0)
% 187.21/138.31 |
% 187.21/138.31 | Instantiating (69) with all_32_0_18 yields:
% 187.21/138.31 | (73) addition(all_32_0_18, all_0_1_1) = all_0_1_1 & addition(all_16_0_14, all_16_0_14) = all_32_0_18
% 187.21/138.31 |
% 187.21/138.31 | Applying alpha-rule on (73) yields:
% 187.21/138.31 | (74) addition(all_32_0_18, all_0_1_1) = all_0_1_1
% 187.21/138.31 | (75) addition(all_16_0_14, all_16_0_14) = all_32_0_18
% 187.21/138.31 |
% 187.21/138.31 | Instantiating (64) with all_34_0_19, all_34_1_20 yields:
% 187.21/138.31 | (76) multiplication(all_16_0_14, all_0_2_2) = all_34_1_20 & multiplication(all_0_1_1, all_0_2_2) = all_34_0_19 & addition(all_34_1_20, all_34_0_19) = all_18_1_17
% 187.21/138.31 |
% 187.21/138.31 | Applying alpha-rule on (76) yields:
% 187.21/138.31 | (77) multiplication(all_16_0_14, all_0_2_2) = all_34_1_20
% 187.21/138.31 | (78) multiplication(all_0_1_1, all_0_2_2) = all_34_0_19
% 187.21/138.31 | (79) addition(all_34_1_20, all_34_0_19) = all_18_1_17
% 187.21/138.31 |
% 187.21/138.31 | Instantiating (63) with all_36_0_21, all_36_1_22 yields:
% 187.21/138.31 | (80) multiplication(all_0_1_1, all_16_0_14) = all_36_1_22 & multiplication(all_0_1_1, all_0_1_1) = all_36_0_21 & addition(all_36_1_22, all_36_0_21) = all_0_0_0
% 187.21/138.31 |
% 187.21/138.31 | Applying alpha-rule on (80) yields:
% 187.21/138.31 | (81) multiplication(all_0_1_1, all_16_0_14) = all_36_1_22
% 187.21/138.31 | (82) multiplication(all_0_1_1, all_0_1_1) = all_36_0_21
% 187.21/138.31 | (83) addition(all_36_1_22, all_36_0_21) = all_0_0_0
% 187.21/138.31 |
% 187.21/138.31 | Instantiating (68) with all_38_0_23 yields:
% 187.21/138.31 | (84) addition(all_38_0_23, all_0_1_1) = all_0_1_1 & addition(all_18_0_16, all_16_0_14) = all_38_0_23
% 187.21/138.31 |
% 187.21/138.31 | Applying alpha-rule on (84) yields:
% 187.21/138.31 | (85) addition(all_38_0_23, all_0_1_1) = all_0_1_1
% 187.21/138.31 | (86) addition(all_18_0_16, all_16_0_14) = all_38_0_23
% 187.21/138.31 |
% 187.21/138.31 | Instantiating (66) with all_40_0_24 yields:
% 187.21/138.31 | (87) addition(all_16_1_15, all_0_1_1) = all_40_0_24 & addition(one, all_40_0_24) = all_0_1_1
% 187.21/138.31 |
% 187.21/138.31 | Applying alpha-rule on (87) yields:
% 187.21/138.31 | (88) addition(all_16_1_15, all_0_1_1) = all_40_0_24
% 187.21/138.31 | (89) addition(one, all_40_0_24) = all_0_1_1
% 187.21/138.31 |
% 187.27/138.31 | Instantiating (65) with all_42_0_25, all_42_1_26 yields:
% 187.27/138.31 | (90) multiplication(all_0_2_2, all_16_0_14) = all_42_1_26 & multiplication(all_0_2_2, all_0_1_1) = all_42_0_25 & addition(all_42_1_26, all_42_0_25) = all_16_1_15
% 187.27/138.31 |
% 187.27/138.31 | Applying alpha-rule on (90) yields:
% 187.27/138.31 | (91) multiplication(all_0_2_2, all_16_0_14) = all_42_1_26
% 187.27/138.31 | (92) multiplication(all_0_2_2, all_0_1_1) = all_42_0_25
% 187.27/138.31 | (93) addition(all_42_1_26, all_42_0_25) = all_16_1_15
% 187.27/138.31 |
% 187.27/138.31 | Instantiating (60) with all_44_0_27, all_44_1_28, all_44_2_29 yields:
% 187.27/138.31 | (94) (all_44_0_27 = 0 & star(all_0_2_2) = all_44_2_29 & leq(all_44_1_28, all_0_1_1) = 0 & multiplication(one, all_44_2_29) = all_44_1_28) | ( ~ (all_44_2_29 = 0) & leq(all_18_0_16, all_0_1_1) = all_44_2_29)
% 187.27/138.32 |
% 187.27/138.32 | Instantiating (62) with all_45_0_30, all_45_1_31 yields:
% 187.27/138.32 | (95) multiplication(all_16_0_14, all_0_1_1) = all_45_1_31 & multiplication(all_0_1_1, all_0_1_1) = all_45_0_30 & addition(all_45_1_31, all_45_0_30) = all_0_0_0
% 187.27/138.32 |
% 187.27/138.32 | Applying alpha-rule on (95) yields:
% 187.27/138.32 | (96) multiplication(all_16_0_14, all_0_1_1) = all_45_1_31
% 187.27/138.32 | (97) multiplication(all_0_1_1, all_0_1_1) = all_45_0_30
% 187.27/138.32 | (98) addition(all_45_1_31, all_45_0_30) = all_0_0_0
% 187.27/138.32 |
% 187.27/138.32 | Instantiating (67) with all_47_0_32 yields:
% 187.27/138.32 | (99) addition(all_47_0_32, all_0_1_1) = all_0_1_1 & addition(all_16_0_14, all_18_0_16) = all_47_0_32
% 187.27/138.32 |
% 187.27/138.32 | Applying alpha-rule on (99) yields:
% 187.27/138.32 | (100) addition(all_47_0_32, all_0_1_1) = all_0_1_1
% 187.27/138.32 | (101) addition(all_16_0_14, all_18_0_16) = all_47_0_32
% 187.27/138.32 |
% 187.27/138.32 | Instantiating (61) with all_49_0_33 yields:
% 187.27/138.32 | (102) addition(all_18_1_17, all_49_0_33) = all_0_1_1 & addition(one, all_0_1_1) = all_49_0_33
% 187.27/138.32 |
% 187.27/138.32 | Applying alpha-rule on (102) yields:
% 187.27/138.32 | (103) addition(all_18_1_17, all_49_0_33) = all_0_1_1
% 187.27/138.32 | (104) addition(one, all_0_1_1) = all_49_0_33
% 187.27/138.32 |
% 187.27/138.32 | Instantiating (72) with all_52_0_37 yields:
% 187.27/138.32 | (105) addition(all_16_1_15, all_52_0_37) = all_0_1_1 & addition(one, all_0_1_1) = all_52_0_37
% 187.27/138.32 |
% 187.27/138.32 | Applying alpha-rule on (105) yields:
% 187.27/138.32 | (106) addition(all_16_1_15, all_52_0_37) = all_0_1_1
% 187.27/138.32 | (107) addition(one, all_0_1_1) = all_52_0_37
% 187.27/138.32 |
% 187.27/138.32 | Instantiating (58) with all_54_0_38 yields:
% 187.27/138.32 | (108) addition(all_54_0_38, all_0_1_1) = all_0_1_1 & addition(all_18_0_16, all_18_0_16) = all_54_0_38
% 187.27/138.32 |
% 187.27/138.32 | Applying alpha-rule on (108) yields:
% 187.27/138.32 | (109) addition(all_54_0_38, all_0_1_1) = all_0_1_1
% 187.27/138.32 | (110) addition(all_18_0_16, all_18_0_16) = all_54_0_38
% 187.27/138.32 |
% 187.27/138.32 | Instantiating (56) with all_56_0_39, all_56_1_40 yields:
% 187.27/138.32 | (111) multiplication(all_0_2_2, all_18_0_16) = all_56_1_40 & multiplication(all_0_2_2, all_0_1_1) = all_56_0_39 & addition(all_56_1_40, all_56_0_39) = all_16_1_15
% 187.27/138.32 |
% 187.27/138.32 | Applying alpha-rule on (111) yields:
% 187.27/138.32 | (112) multiplication(all_0_2_2, all_18_0_16) = all_56_1_40
% 187.27/138.32 | (113) multiplication(all_0_2_2, all_0_1_1) = all_56_0_39
% 187.27/138.32 | (114) addition(all_56_1_40, all_56_0_39) = all_16_1_15
% 187.27/138.32 |
% 187.27/138.32 | Instantiating (57) with all_58_0_41 yields:
% 187.27/138.32 | (115) addition(all_18_1_17, all_0_1_1) = all_58_0_41 & addition(one, all_58_0_41) = all_0_1_1
% 187.27/138.32 |
% 187.27/138.32 | Applying alpha-rule on (115) yields:
% 187.27/138.32 | (116) addition(all_18_1_17, all_0_1_1) = all_58_0_41
% 187.27/138.32 | (117) addition(one, all_58_0_41) = all_0_1_1
% 187.27/138.32 |
% 187.27/138.32 | Instantiating (55) with all_60_0_42, all_60_1_43 yields:
% 187.27/138.32 | (118) multiplication(all_18_0_16, all_0_2_2) = all_60_1_43 & multiplication(all_0_1_1, all_0_2_2) = all_60_0_42 & addition(all_60_1_43, all_60_0_42) = all_18_1_17
% 187.27/138.32 |
% 187.27/138.32 | Applying alpha-rule on (118) yields:
% 187.27/138.32 | (119) multiplication(all_18_0_16, all_0_2_2) = all_60_1_43
% 187.27/138.32 | (120) multiplication(all_0_1_1, all_0_2_2) = all_60_0_42
% 187.27/138.32 | (121) addition(all_60_1_43, all_60_0_42) = all_18_1_17
% 187.27/138.32 |
% 187.27/138.32 | Instantiating (54) with all_62_0_44, all_62_1_45 yields:
% 187.27/138.32 | (122) multiplication(all_0_1_1, all_18_0_16) = all_62_1_45 & multiplication(all_0_1_1, all_0_1_1) = all_62_0_44 & addition(all_62_1_45, all_62_0_44) = all_0_0_0
% 187.27/138.32 |
% 187.27/138.32 | Applying alpha-rule on (122) yields:
% 187.27/138.32 | (123) multiplication(all_0_1_1, all_18_0_16) = all_62_1_45
% 187.27/138.32 | (124) multiplication(all_0_1_1, all_0_1_1) = all_62_0_44
% 187.27/138.32 | (125) addition(all_62_1_45, all_62_0_44) = all_0_0_0
% 187.27/138.32 |
% 187.27/138.32 | Instantiating (71) with all_64_0_46, all_64_1_47, all_64_2_48 yields:
% 187.27/138.32 | (126) (all_64_0_46 = 0 & star(all_0_2_2) = all_64_2_48 & leq(all_64_1_47, all_0_1_1) = 0 & multiplication(all_64_2_48, one) = all_64_1_47) | ( ~ (all_64_2_48 = 0) & leq(all_16_0_14, all_0_1_1) = all_64_2_48)
% 187.27/138.32 |
% 187.27/138.32 | Instantiating (53) with all_66_0_52, all_66_1_53 yields:
% 187.27/138.32 | (127) multiplication(all_18_0_16, all_0_1_1) = all_66_1_53 & multiplication(all_0_1_1, all_0_1_1) = all_66_0_52 & addition(all_66_1_53, all_66_0_52) = all_0_0_0
% 187.27/138.32 |
% 187.27/138.32 | Applying alpha-rule on (127) yields:
% 187.27/138.32 | (128) multiplication(all_18_0_16, all_0_1_1) = all_66_1_53
% 187.27/138.32 | (129) multiplication(all_0_1_1, all_0_1_1) = all_66_0_52
% 187.27/138.32 | (130) addition(all_66_1_53, all_66_0_52) = all_0_0_0
% 187.27/138.32 |
% 187.27/138.32 +-Applying beta-rule and splitting (94), into two cases.
% 187.27/138.32 |-Branch one:
% 187.27/138.32 | (131) all_44_0_27 = 0 & star(all_0_2_2) = all_44_2_29 & leq(all_44_1_28, all_0_1_1) = 0 & multiplication(one, all_44_2_29) = all_44_1_28
% 187.27/138.32 |
% 187.27/138.32 | Applying alpha-rule on (131) yields:
% 187.27/138.32 | (132) all_44_0_27 = 0
% 187.27/138.32 | (133) star(all_0_2_2) = all_44_2_29
% 187.27/138.32 | (134) leq(all_44_1_28, all_0_1_1) = 0
% 187.27/138.32 | (135) multiplication(one, all_44_2_29) = all_44_1_28
% 187.27/138.32 |
% 187.27/138.32 +-Applying beta-rule and splitting (126), into two cases.
% 187.27/138.32 |-Branch one:
% 187.27/138.32 | (136) all_64_0_46 = 0 & star(all_0_2_2) = all_64_2_48 & leq(all_64_1_47, all_0_1_1) = 0 & multiplication(all_64_2_48, one) = all_64_1_47
% 187.27/138.32 |
% 187.27/138.32 | Applying alpha-rule on (136) yields:
% 187.27/138.32 | (137) all_64_0_46 = 0
% 187.27/138.32 | (138) star(all_0_2_2) = all_64_2_48
% 187.27/138.32 | (139) leq(all_64_1_47, all_0_1_1) = 0
% 187.27/138.32 | (140) multiplication(all_64_2_48, one) = all_64_1_47
% 187.27/138.32 |
% 187.27/138.32 | Instantiating formula (20) with all_0_2_2, all_64_2_48, all_0_1_1 and discharging atoms star(all_0_2_2) = all_64_2_48, star(all_0_2_2) = all_0_1_1, yields:
% 187.27/138.32 | (141) all_64_2_48 = all_0_1_1
% 187.27/138.32 |
% 187.27/138.32 | Instantiating formula (20) with all_0_2_2, all_44_2_29, all_64_2_48 and discharging atoms star(all_0_2_2) = all_64_2_48, star(all_0_2_2) = all_44_2_29, yields:
% 187.27/138.32 | (142) all_64_2_48 = all_44_2_29
% 187.27/138.32 |
% 187.27/138.32 | Instantiating formula (27) with all_64_1_47, all_64_2_48 and discharging atoms multiplication(all_64_2_48, one) = all_64_1_47, yields:
% 187.27/138.32 | (143) all_64_1_47 = all_64_2_48
% 187.27/138.32 |
% 187.27/138.32 | Instantiating formula (34) with all_0_1_1, all_0_1_1, all_66_0_52, all_0_0_0 and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_66_0_52, multiplication(all_0_1_1, all_0_1_1) = all_0_0_0, yields:
% 187.27/138.32 | (144) all_66_0_52 = all_0_0_0
% 187.27/138.32 |
% 187.27/138.32 | Instantiating formula (34) with all_0_1_1, all_0_1_1, all_62_0_44, all_66_0_52 and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_66_0_52, multiplication(all_0_1_1, all_0_1_1) = all_62_0_44, yields:
% 187.27/138.32 | (145) all_66_0_52 = all_62_0_44
% 187.27/138.32 |
% 187.27/138.32 | Instantiating formula (34) with all_0_1_1, all_0_1_1, all_45_0_30, all_66_0_52 and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_66_0_52, multiplication(all_0_1_1, all_0_1_1) = all_45_0_30, yields:
% 187.27/138.32 | (146) all_66_0_52 = all_45_0_30
% 187.27/138.32 |
% 187.27/138.32 | Instantiating formula (34) with all_0_1_1, all_0_1_1, all_36_0_21, all_66_0_52 and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_66_0_52, multiplication(all_0_1_1, all_0_1_1) = all_36_0_21, yields:
% 187.27/138.32 | (147) all_66_0_52 = all_36_0_21
% 187.27/138.32 |
% 187.27/138.32 | Instantiating formula (34) with all_0_1_1, all_0_2_2, all_60_0_42, all_18_1_17 and discharging atoms multiplication(all_0_1_1, all_0_2_2) = all_60_0_42, multiplication(all_0_1_1, all_0_2_2) = all_18_1_17, yields:
% 187.27/138.32 | (148) all_60_0_42 = all_18_1_17
% 187.27/138.32 |
% 187.27/138.32 | Instantiating formula (34) with all_0_1_1, all_0_2_2, all_34_0_19, all_60_0_42 and discharging atoms multiplication(all_0_1_1, all_0_2_2) = all_60_0_42, multiplication(all_0_1_1, all_0_2_2) = all_34_0_19, yields:
% 187.27/138.32 | (149) all_60_0_42 = all_34_0_19
% 187.27/138.32 |
% 187.27/138.32 | Instantiating formula (34) with all_0_2_2, all_0_1_1, all_56_0_39, all_16_1_15 and discharging atoms multiplication(all_0_2_2, all_0_1_1) = all_56_0_39, multiplication(all_0_2_2, all_0_1_1) = all_16_1_15, yields:
% 187.27/138.32 | (150) all_56_0_39 = all_16_1_15
% 187.27/138.32 |
% 187.27/138.32 | Instantiating formula (34) with all_0_2_2, all_0_1_1, all_42_0_25, all_56_0_39 and discharging atoms multiplication(all_0_2_2, all_0_1_1) = all_56_0_39, multiplication(all_0_2_2, all_0_1_1) = all_42_0_25, yields:
% 187.27/138.33 | (151) all_56_0_39 = all_42_0_25
% 187.27/138.33 |
% 187.27/138.33 | Instantiating formula (33) with all_44_1_28, all_44_2_29 and discharging atoms multiplication(one, all_44_2_29) = all_44_1_28, yields:
% 187.27/138.33 | (152) all_44_1_28 = all_44_2_29
% 187.27/138.33 |
% 187.27/138.33 | Instantiating formula (18) with all_54_0_38, all_18_0_16 and discharging atoms addition(all_18_0_16, all_18_0_16) = all_54_0_38, yields:
% 187.27/138.33 | (153) all_54_0_38 = all_18_0_16
% 187.27/138.33 |
% 187.27/138.33 | Instantiating formula (18) with all_32_0_18, all_16_0_14 and discharging atoms addition(all_16_0_14, all_16_0_14) = all_32_0_18, yields:
% 187.27/138.33 | (154) all_32_0_18 = all_16_0_14
% 187.27/138.33 |
% 187.27/138.33 | Instantiating formula (30) with one, all_0_1_1, all_49_0_33, all_52_0_37 and discharging atoms addition(one, all_0_1_1) = all_52_0_37, addition(one, all_0_1_1) = all_49_0_33, yields:
% 187.27/138.33 | (155) all_52_0_37 = all_49_0_33
% 187.27/138.33 |
% 187.27/138.33 | Combining equations (147,145) yields a new equation:
% 187.27/138.33 | (156) all_62_0_44 = all_36_0_21
% 187.27/138.33 |
% 187.27/138.33 | Combining equations (146,145) yields a new equation:
% 187.27/138.33 | (157) all_62_0_44 = all_45_0_30
% 187.27/138.33 |
% 187.27/138.33 | Combining equations (144,145) yields a new equation:
% 187.27/138.33 | (158) all_62_0_44 = all_0_0_0
% 187.27/138.33 |
% 187.27/138.33 | Combining equations (141,142) yields a new equation:
% 187.27/138.33 | (159) all_44_2_29 = all_0_1_1
% 187.27/138.33 |
% 187.27/138.33 | Combining equations (156,157) yields a new equation:
% 187.27/138.33 | (160) all_45_0_30 = all_36_0_21
% 187.27/138.33 |
% 187.27/138.33 | Combining equations (158,157) yields a new equation:
% 187.27/138.33 | (161) all_45_0_30 = all_0_0_0
% 187.27/138.33 |
% 187.27/138.33 | Combining equations (148,149) yields a new equation:
% 187.27/138.33 | (162) all_34_0_19 = all_18_1_17
% 187.27/138.33 |
% 187.27/138.33 | Combining equations (150,151) yields a new equation:
% 187.27/138.33 | (163) all_42_0_25 = all_16_1_15
% 187.27/138.33 |
% 187.27/138.33 | Combining equations (160,161) yields a new equation:
% 187.27/138.33 | (164) all_36_0_21 = all_0_0_0
% 187.27/138.33 |
% 187.27/138.33 | Simplifying 164 yields:
% 187.27/138.33 | (165) all_36_0_21 = all_0_0_0
% 187.27/138.33 |
% 187.27/138.33 | Combining equations (159,152) yields a new equation:
% 187.27/138.33 | (166) all_44_1_28 = all_0_1_1
% 187.27/138.33 |
% 187.27/138.33 | Combining equations (163,151) yields a new equation:
% 187.27/138.33 | (150) all_56_0_39 = all_16_1_15
% 187.27/138.33 |
% 187.27/138.33 | Combining equations (162,149) yields a new equation:
% 187.27/138.33 | (148) all_60_0_42 = all_18_1_17
% 187.27/138.33 |
% 187.27/138.33 | Combining equations (159,142) yields a new equation:
% 187.27/138.33 | (141) all_64_2_48 = all_0_1_1
% 187.27/138.33 |
% 187.27/138.33 | Combining equations (141,143) yields a new equation:
% 187.27/138.33 | (170) all_64_1_47 = all_0_1_1
% 187.27/138.33 |
% 187.27/138.33 | From (159) and (133) follows:
% 187.27/138.33 | (38) star(all_0_2_2) = all_0_1_1
% 187.27/138.33 |
% 187.27/138.33 | From (166) and (134) follows:
% 187.27/138.33 | (172) leq(all_0_1_1, all_0_1_1) = 0
% 187.27/138.33 |
% 187.27/138.33 | From (141)(170) and (140) follows:
% 187.27/138.33 | (173) multiplication(all_0_1_1, one) = all_0_1_1
% 187.27/138.33 |
% 187.27/138.33 | From (165) and (82) follows:
% 187.27/138.33 | (21) multiplication(all_0_1_1, all_0_1_1) = all_0_0_0
% 187.27/138.33 |
% 187.27/138.33 | From (162) and (78) follows:
% 187.27/138.33 | (47) multiplication(all_0_1_1, all_0_2_2) = all_18_1_17
% 187.27/138.33 |
% 187.27/138.33 | From (163) and (92) follows:
% 187.27/138.33 | (43) multiplication(all_0_2_2, all_0_1_1) = all_16_1_15
% 187.27/138.33 |
% 187.27/138.33 | From (159)(166) and (135) follows:
% 187.27/138.33 | (177) multiplication(one, all_0_1_1) = all_0_1_1
% 187.27/138.33 |
% 187.27/138.33 | From (148) and (121) follows:
% 187.27/138.33 | (178) addition(all_60_1_43, all_18_1_17) = all_18_1_17
% 187.27/138.33 |
% 187.27/138.33 | From (150) and (114) follows:
% 187.27/138.33 | (179) addition(all_56_1_40, all_16_1_15) = all_16_1_15
% 187.27/138.33 |
% 187.27/138.33 | From (153) and (109) follows:
% 187.27/138.33 | (49) addition(all_18_0_16, all_0_1_1) = all_0_1_1
% 187.27/138.33 |
% 187.27/138.33 | From (163) and (93) follows:
% 187.27/138.33 | (181) addition(all_42_1_26, all_16_1_15) = all_16_1_15
% 187.27/138.33 |
% 187.27/138.33 | From (162) and (79) follows:
% 187.27/138.33 | (182) addition(all_34_1_20, all_18_1_17) = all_18_1_17
% 187.27/138.33 |
% 187.27/138.33 | From (154) and (74) follows:
% 187.27/138.33 | (50) addition(all_16_0_14, all_0_1_1) = all_0_1_1
% 187.27/138.33 |
% 187.27/138.33 | From (153) and (110) follows:
% 187.27/138.33 | (184) addition(all_18_0_16, all_18_0_16) = all_18_0_16
% 187.27/138.33 |
% 187.27/138.33 | From (154) and (75) follows:
% 187.27/138.33 | (185) addition(all_16_0_14, all_16_0_14) = all_16_0_14
% 187.27/138.33 |
% 187.27/138.33 | From (155) and (106) follows:
% 187.27/138.33 | (186) addition(all_16_1_15, all_49_0_33) = all_0_1_1
% 187.27/138.33 |
% 187.27/138.33 | From (155) and (107) follows:
% 187.27/138.33 | (104) addition(one, all_0_1_1) = all_49_0_33
% 187.27/138.33 |
% 187.27/138.33 | Instantiating formula (24) with all_66_1_53, all_0_1_1, all_0_1_1, all_18_0_16, all_18_0_16 and discharging atoms multiplication(all_18_0_16, all_0_1_1) = all_66_1_53, addition(all_18_0_16, all_0_1_1) = all_0_1_1, yields:
% 187.27/138.33 | (188) ? [v0] : ? [v1] : (multiplication(all_18_0_16, all_18_0_16) = v0 & multiplication(all_18_0_16, all_0_1_1) = v1 & addition(v0, v1) = all_66_1_53)
% 187.27/138.33 |
% 187.27/138.33 | Instantiating formula (6) with all_66_1_53, all_18_0_16, all_0_1_1, one, all_18_1_17 and discharging atoms multiplication(all_18_0_16, all_0_1_1) = all_66_1_53, addition(all_18_1_17, one) = all_18_0_16, yields:
% 187.27/138.33 | (189) ? [v0] : ? [v1] : (multiplication(all_18_1_17, all_0_1_1) = v0 & multiplication(one, all_0_1_1) = v1 & addition(v0, v1) = all_66_1_53)
% 187.27/138.33 |
% 187.27/138.33 | Instantiating formula (24) with all_66_1_53, all_0_1_1, all_0_1_1, all_16_0_14, all_18_0_16 and discharging atoms multiplication(all_18_0_16, all_0_1_1) = all_66_1_53, addition(all_16_0_14, all_0_1_1) = all_0_1_1, yields:
% 187.27/138.33 | (190) ? [v0] : ? [v1] : (multiplication(all_18_0_16, all_16_0_14) = v0 & multiplication(all_18_0_16, all_0_1_1) = v1 & addition(v0, v1) = all_66_1_53)
% 187.27/138.33 |
% 187.27/138.33 | Instantiating formula (6) with all_66_1_53, all_18_0_16, all_0_1_1, all_18_1_17, one and discharging atoms multiplication(all_18_0_16, all_0_1_1) = all_66_1_53, addition(one, all_18_1_17) = all_18_0_16, yields:
% 187.27/138.33 | (191) ? [v0] : ? [v1] : (multiplication(all_18_1_17, all_0_1_1) = v1 & multiplication(one, all_0_1_1) = v0 & addition(v0, v1) = all_66_1_53)
% 187.27/138.33 |
% 187.27/138.33 | Instantiating formula (24) with all_45_1_31, all_0_1_1, all_0_1_1, all_18_0_16, all_16_0_14 and discharging atoms multiplication(all_16_0_14, all_0_1_1) = all_45_1_31, addition(all_18_0_16, all_0_1_1) = all_0_1_1, yields:
% 187.27/138.33 | (192) ? [v0] : ? [v1] : (multiplication(all_16_0_14, all_18_0_16) = v0 & multiplication(all_16_0_14, all_0_1_1) = v1 & addition(v0, v1) = all_45_1_31)
% 187.27/138.33 |
% 187.27/138.33 | Instantiating formula (24) with all_45_1_31, all_0_1_1, all_0_1_1, all_16_0_14, all_16_0_14 and discharging atoms multiplication(all_16_0_14, all_0_1_1) = all_45_1_31, addition(all_16_0_14, all_0_1_1) = all_0_1_1, yields:
% 187.27/138.34 | (193) ? [v0] : ? [v1] : (multiplication(all_16_0_14, all_16_0_14) = v0 & multiplication(all_16_0_14, all_0_1_1) = v1 & addition(v0, v1) = all_45_1_31)
% 187.27/138.34 |
% 187.27/138.34 | Instantiating formula (6) with all_45_1_31, all_16_0_14, all_0_1_1, one, all_16_1_15 and discharging atoms multiplication(all_16_0_14, all_0_1_1) = all_45_1_31, addition(all_16_1_15, one) = all_16_0_14, yields:
% 187.27/138.34 | (194) ? [v0] : ? [v1] : (multiplication(all_16_1_15, all_0_1_1) = v0 & multiplication(one, all_0_1_1) = v1 & addition(v0, v1) = all_45_1_31)
% 187.27/138.34 |
% 187.27/138.34 | Instantiating formula (6) with all_45_1_31, all_16_0_14, all_0_1_1, all_16_1_15, one and discharging atoms multiplication(all_16_0_14, all_0_1_1) = all_45_1_31, addition(one, all_16_1_15) = all_16_0_14, yields:
% 187.27/138.34 | (195) ? [v0] : ? [v1] : (multiplication(all_16_1_15, all_0_1_1) = v1 & multiplication(one, all_0_1_1) = v0 & addition(v0, v1) = all_45_1_31)
% 187.27/138.34 |
% 187.27/138.34 | Instantiating formula (6) with all_62_1_45, all_0_1_1, all_18_0_16, all_0_1_1, all_18_0_16 and discharging atoms multiplication(all_0_1_1, all_18_0_16) = all_62_1_45, addition(all_18_0_16, all_0_1_1) = all_0_1_1, yields:
% 187.27/138.34 | (196) ? [v0] : ? [v1] : (multiplication(all_18_0_16, all_18_0_16) = v0 & multiplication(all_0_1_1, all_18_0_16) = v1 & addition(v0, v1) = all_62_1_45)
% 187.27/138.34 |
% 187.27/138.34 | Instantiating formula (24) with all_62_1_45, all_18_0_16, one, all_18_1_17, all_0_1_1 and discharging atoms multiplication(all_0_1_1, all_18_0_16) = all_62_1_45, addition(all_18_1_17, one) = all_18_0_16, yields:
% 187.27/138.34 | (197) ? [v0] : ? [v1] : (multiplication(all_0_1_1, all_18_1_17) = v0 & multiplication(all_0_1_1, one) = v1 & addition(v0, v1) = all_62_1_45)
% 187.27/138.34 |
% 187.27/138.34 | Instantiating formula (6) with all_62_1_45, all_0_1_1, all_18_0_16, all_0_1_1, all_16_0_14 and discharging atoms multiplication(all_0_1_1, all_18_0_16) = all_62_1_45, addition(all_16_0_14, all_0_1_1) = all_0_1_1, yields:
% 187.27/138.34 | (198) ? [v0] : ? [v1] : (multiplication(all_16_0_14, all_18_0_16) = v0 & multiplication(all_0_1_1, all_18_0_16) = v1 & addition(v0, v1) = all_62_1_45)
% 187.27/138.34 |
% 187.27/138.34 | Instantiating formula (24) with all_62_1_45, all_18_0_16, all_18_1_17, one, all_0_1_1 and discharging atoms multiplication(all_0_1_1, all_18_0_16) = all_62_1_45, addition(one, all_18_1_17) = all_18_0_16, yields:
% 187.27/138.34 | (199) ? [v0] : ? [v1] : (multiplication(all_0_1_1, all_18_1_17) = v1 & multiplication(all_0_1_1, one) = v0 & addition(v0, v1) = all_62_1_45)
% 187.27/138.34 |
% 187.27/138.34 | Instantiating formula (6) with all_36_1_22, all_0_1_1, all_16_0_14, all_0_1_1, all_18_0_16 and discharging atoms multiplication(all_0_1_1, all_16_0_14) = all_36_1_22, addition(all_18_0_16, all_0_1_1) = all_0_1_1, yields:
% 187.27/138.34 | (200) ? [v0] : ? [v1] : (multiplication(all_18_0_16, all_16_0_14) = v0 & multiplication(all_0_1_1, all_16_0_14) = v1 & addition(v0, v1) = all_36_1_22)
% 187.27/138.34 |
% 187.27/138.34 | Instantiating formula (6) with all_36_1_22, all_0_1_1, all_16_0_14, all_0_1_1, all_16_0_14 and discharging atoms multiplication(all_0_1_1, all_16_0_14) = all_36_1_22, addition(all_16_0_14, all_0_1_1) = all_0_1_1, yields:
% 187.27/138.34 | (201) ? [v0] : ? [v1] : (multiplication(all_16_0_14, all_16_0_14) = v0 & multiplication(all_0_1_1, all_16_0_14) = v1 & addition(v0, v1) = all_36_1_22)
% 187.27/138.34 |
% 187.27/138.34 | Instantiating formula (24) with all_36_1_22, all_16_0_14, one, all_16_1_15, all_0_1_1 and discharging atoms multiplication(all_0_1_1, all_16_0_14) = all_36_1_22, addition(all_16_1_15, one) = all_16_0_14, yields:
% 187.27/138.34 | (202) ? [v0] : ? [v1] : (multiplication(all_0_1_1, all_16_1_15) = v0 & multiplication(all_0_1_1, one) = v1 & addition(v0, v1) = all_36_1_22)
% 187.27/138.34 |
% 187.27/138.34 | Instantiating formula (24) with all_36_1_22, all_16_0_14, all_16_1_15, one, all_0_1_1 and discharging atoms multiplication(all_0_1_1, all_16_0_14) = all_36_1_22, addition(one, all_16_1_15) = all_16_0_14, yields:
% 187.27/138.34 | (203) ? [v0] : ? [v1] : (multiplication(all_0_1_1, all_16_1_15) = v1 & multiplication(all_0_1_1, one) = v0 & addition(v0, v1) = all_36_1_22)
% 187.27/138.34 |
% 187.27/138.34 | Instantiating formula (2) with all_0_0_0, all_0_1_1, one, all_0_1_1, all_0_1_1 and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_0_0_0, multiplication(all_0_1_1, one) = all_0_1_1, yields:
% 187.27/138.34 | (204) ? [v0] : (multiplication(v0, one) = all_0_0_0 & multiplication(all_0_1_1, all_0_1_1) = v0)
% 187.27/138.34 |
% 187.27/138.34 | Instantiating formula (2) with all_66_1_53, all_0_1_1, one, all_0_1_1, all_18_0_16 and discharging atoms multiplication(all_18_0_16, all_0_1_1) = all_66_1_53, multiplication(all_0_1_1, one) = all_0_1_1, yields:
% 187.27/138.34 | (205) ? [v0] : (multiplication(v0, one) = all_66_1_53 & multiplication(all_18_0_16, all_0_1_1) = v0)
% 187.27/138.34 |
% 187.27/138.34 | Instantiating formula (8) with all_0_1_1, all_0_1_1, one, one, all_0_1_1 and discharging atoms multiplication(all_0_1_1, one) = all_0_1_1, yields:
% 187.27/138.34 | (206) ? [v0] : (multiplication(all_0_1_1, v0) = all_0_1_1 & multiplication(one, one) = v0)
% 187.27/138.34 |
% 187.27/138.34 | Instantiating formula (6) with all_0_1_1, all_0_1_1, one, all_0_1_1, all_18_0_16 and discharging atoms multiplication(all_0_1_1, one) = all_0_1_1, addition(all_18_0_16, all_0_1_1) = all_0_1_1, yields:
% 187.27/138.34 | (207) ? [v0] : ? [v1] : (multiplication(all_18_0_16, one) = v0 & multiplication(all_0_1_1, one) = v1 & addition(v0, v1) = all_0_1_1)
% 187.27/138.34 |
% 187.27/138.34 | Instantiating formula (6) with all_0_1_1, all_0_1_1, one, all_0_1_1, all_16_0_14 and discharging atoms multiplication(all_0_1_1, one) = all_0_1_1, addition(all_16_0_14, all_0_1_1) = all_0_1_1, yields:
% 187.27/138.34 | (208) ? [v0] : ? [v1] : (multiplication(all_16_0_14, one) = v0 & multiplication(all_0_1_1, one) = v1 & addition(v0, v1) = all_0_1_1)
% 187.27/138.34 |
% 187.27/138.34 | Instantiating formula (8) with all_0_0_0, all_0_1_1, all_0_1_1, all_0_1_1, one and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_0_0_0, multiplication(one, all_0_1_1) = all_0_1_1, yields:
% 187.27/138.34 | (209) ? [v0] : (multiplication(all_0_1_1, all_0_1_1) = v0 & multiplication(one, v0) = all_0_0_0)
% 187.27/138.34 |
% 187.27/138.34 | Instantiating formula (8) with all_62_1_45, all_0_1_1, all_18_0_16, all_0_1_1, one and discharging atoms multiplication(all_0_1_1, all_18_0_16) = all_62_1_45, multiplication(one, all_0_1_1) = all_0_1_1, yields:
% 187.27/138.34 | (210) ? [v0] : (multiplication(all_0_1_1, all_18_0_16) = v0 & multiplication(one, v0) = all_62_1_45)
% 187.27/138.34 |
% 187.27/138.34 | Instantiating formula (8) with all_36_1_22, all_0_1_1, all_16_0_14, all_0_1_1, one and discharging atoms multiplication(all_0_1_1, all_16_0_14) = all_36_1_22, multiplication(one, all_0_1_1) = all_0_1_1, yields:
% 187.27/138.34 | (211) ? [v0] : (multiplication(all_0_1_1, all_16_0_14) = v0 & multiplication(one, v0) = all_36_1_22)
% 187.27/138.34 |
% 187.27/138.34 | Instantiating formula (2) with all_0_1_1, all_0_1_1, all_0_1_1, one, one and discharging atoms multiplication(one, all_0_1_1) = all_0_1_1, yields:
% 187.27/138.34 | (212) ? [v0] : (multiplication(v0, all_0_1_1) = all_0_1_1 & multiplication(one, one) = v0)
% 187.27/138.34 |
% 187.27/138.34 | Instantiating formula (24) with all_0_1_1, all_0_1_1, all_0_1_1, all_18_0_16, one and discharging atoms multiplication(one, all_0_1_1) = all_0_1_1, addition(all_18_0_16, all_0_1_1) = all_0_1_1, yields:
% 187.27/138.34 | (213) ? [v0] : ? [v1] : (multiplication(one, all_18_0_16) = v0 & multiplication(one, all_0_1_1) = v1 & addition(v0, v1) = all_0_1_1)
% 187.27/138.34 |
% 187.27/138.34 | Instantiating formula (24) with all_0_1_1, all_0_1_1, all_0_1_1, all_16_0_14, one and discharging atoms multiplication(one, all_0_1_1) = all_0_1_1, addition(all_16_0_14, all_0_1_1) = all_0_1_1, yields:
% 187.27/138.34 | (214) ? [v0] : ? [v1] : (multiplication(one, all_16_0_14) = v0 & multiplication(one, all_0_1_1) = v1 & addition(v0, v1) = all_0_1_1)
% 187.27/138.34 |
% 187.27/138.34 | Instantiating formula (6) with all_0_0_0, all_0_1_1, all_0_1_1, all_0_1_1, all_47_0_32 and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_0_0_0, addition(all_47_0_32, all_0_1_1) = all_0_1_1, yields:
% 187.27/138.34 | (215) ? [v0] : ? [v1] : (multiplication(all_47_0_32, all_0_1_1) = v0 & multiplication(all_0_1_1, all_0_1_1) = v1 & addition(v0, v1) = all_0_0_0)
% 187.27/138.34 |
% 187.27/138.34 | Instantiating formula (24) with all_0_0_0, all_0_1_1, all_0_1_1, all_47_0_32, all_0_1_1 and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_0_0_0, addition(all_47_0_32, all_0_1_1) = all_0_1_1, yields:
% 187.27/138.34 | (216) ? [v0] : ? [v1] : (multiplication(all_0_1_1, all_47_0_32) = v0 & multiplication(all_0_1_1, all_0_1_1) = v1 & addition(v0, v1) = all_0_0_0)
% 187.27/138.34 |
% 187.27/138.34 | Instantiating formula (24) with all_66_1_53, all_0_1_1, all_0_1_1, all_47_0_32, all_18_0_16 and discharging atoms multiplication(all_18_0_16, all_0_1_1) = all_66_1_53, addition(all_47_0_32, all_0_1_1) = all_0_1_1, yields:
% 187.27/138.34 | (217) ? [v0] : ? [v1] : (multiplication(all_18_0_16, all_47_0_32) = v0 & multiplication(all_18_0_16, all_0_1_1) = v1 & addition(v0, v1) = all_66_1_53)
% 187.27/138.34 |
% 187.27/138.34 | Instantiating formula (24) with all_45_1_31, all_0_1_1, all_0_1_1, all_47_0_32, all_16_0_14 and discharging atoms multiplication(all_16_0_14, all_0_1_1) = all_45_1_31, addition(all_47_0_32, all_0_1_1) = all_0_1_1, yields:
% 187.27/138.34 | (218) ? [v0] : ? [v1] : (multiplication(all_16_0_14, all_47_0_32) = v0 & multiplication(all_16_0_14, all_0_1_1) = v1 & addition(v0, v1) = all_45_1_31)
% 187.27/138.34 |
% 187.27/138.34 | Instantiating formula (6) with all_62_1_45, all_0_1_1, all_18_0_16, all_0_1_1, all_47_0_32 and discharging atoms multiplication(all_0_1_1, all_18_0_16) = all_62_1_45, addition(all_47_0_32, all_0_1_1) = all_0_1_1, yields:
% 187.27/138.35 | (219) ? [v0] : ? [v1] : (multiplication(all_47_0_32, all_18_0_16) = v0 & multiplication(all_0_1_1, all_18_0_16) = v1 & addition(v0, v1) = all_62_1_45)
% 187.27/138.35 |
% 187.27/138.35 | Instantiating formula (6) with all_36_1_22, all_0_1_1, all_16_0_14, all_0_1_1, all_47_0_32 and discharging atoms multiplication(all_0_1_1, all_16_0_14) = all_36_1_22, addition(all_47_0_32, all_0_1_1) = all_0_1_1, yields:
% 187.27/138.35 | (220) ? [v0] : ? [v1] : (multiplication(all_47_0_32, all_16_0_14) = v0 & multiplication(all_0_1_1, all_16_0_14) = v1 & addition(v0, v1) = all_36_1_22)
% 187.27/138.35 |
% 187.27/138.35 | Instantiating formula (6) with all_0_1_1, all_0_1_1, one, all_0_1_1, all_47_0_32 and discharging atoms multiplication(all_0_1_1, one) = all_0_1_1, addition(all_47_0_32, all_0_1_1) = all_0_1_1, yields:
% 187.27/138.35 | (221) ? [v0] : ? [v1] : (multiplication(all_47_0_32, one) = v0 & multiplication(all_0_1_1, one) = v1 & addition(v0, v1) = all_0_1_1)
% 187.27/138.35 |
% 187.27/138.35 | Instantiating formula (24) with all_0_1_1, all_0_1_1, all_0_1_1, all_47_0_32, one and discharging atoms multiplication(one, all_0_1_1) = all_0_1_1, addition(all_47_0_32, all_0_1_1) = all_0_1_1, yields:
% 187.27/138.35 | (222) ? [v0] : ? [v1] : (multiplication(one, all_47_0_32) = v0 & multiplication(one, all_0_1_1) = v1 & addition(v0, v1) = all_0_1_1)
% 187.27/138.35 |
% 187.27/138.35 | Instantiating formula (6) with all_0_0_0, all_0_1_1, all_0_1_1, all_0_1_1, all_38_0_23 and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_0_0_0, addition(all_38_0_23, all_0_1_1) = all_0_1_1, yields:
% 187.27/138.35 | (223) ? [v0] : ? [v1] : (multiplication(all_38_0_23, all_0_1_1) = v0 & multiplication(all_0_1_1, all_0_1_1) = v1 & addition(v0, v1) = all_0_0_0)
% 187.27/138.35 |
% 187.27/138.35 | Instantiating formula (24) with all_0_0_0, all_0_1_1, all_0_1_1, all_38_0_23, all_0_1_1 and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_0_0_0, addition(all_38_0_23, all_0_1_1) = all_0_1_1, yields:
% 187.27/138.35 | (224) ? [v0] : ? [v1] : (multiplication(all_0_1_1, all_38_0_23) = v0 & multiplication(all_0_1_1, all_0_1_1) = v1 & addition(v0, v1) = all_0_0_0)
% 187.27/138.35 |
% 187.27/138.35 | Instantiating formula (24) with all_66_1_53, all_0_1_1, all_0_1_1, all_38_0_23, all_18_0_16 and discharging atoms multiplication(all_18_0_16, all_0_1_1) = all_66_1_53, addition(all_38_0_23, all_0_1_1) = all_0_1_1, yields:
% 187.27/138.35 | (225) ? [v0] : ? [v1] : (multiplication(all_18_0_16, all_38_0_23) = v0 & multiplication(all_18_0_16, all_0_1_1) = v1 & addition(v0, v1) = all_66_1_53)
% 187.27/138.35 |
% 187.27/138.35 | Instantiating formula (6) with all_62_1_45, all_0_1_1, all_18_0_16, all_0_1_1, all_38_0_23 and discharging atoms multiplication(all_0_1_1, all_18_0_16) = all_62_1_45, addition(all_38_0_23, all_0_1_1) = all_0_1_1, yields:
% 187.27/138.35 | (226) ? [v0] : ? [v1] : (multiplication(all_38_0_23, all_18_0_16) = v0 & multiplication(all_0_1_1, all_18_0_16) = v1 & addition(v0, v1) = all_62_1_45)
% 187.27/138.35 |
% 187.27/138.35 | Instantiating formula (6) with all_36_1_22, all_0_1_1, all_16_0_14, all_0_1_1, all_38_0_23 and discharging atoms multiplication(all_0_1_1, all_16_0_14) = all_36_1_22, addition(all_38_0_23, all_0_1_1) = all_0_1_1, yields:
% 187.27/138.35 | (227) ? [v0] : ? [v1] : (multiplication(all_38_0_23, all_16_0_14) = v0 & multiplication(all_0_1_1, all_16_0_14) = v1 & addition(v0, v1) = all_36_1_22)
% 187.27/138.35 |
% 187.27/138.35 | Instantiating formula (6) with all_0_1_1, all_0_1_1, one, all_0_1_1, all_38_0_23 and discharging atoms multiplication(all_0_1_1, one) = all_0_1_1, addition(all_38_0_23, all_0_1_1) = all_0_1_1, yields:
% 187.27/138.35 | (228) ? [v0] : ? [v1] : (multiplication(all_38_0_23, one) = v0 & multiplication(all_0_1_1, one) = v1 & addition(v0, v1) = all_0_1_1)
% 187.27/138.35 |
% 187.27/138.35 | Instantiating formula (24) with all_0_1_1, all_0_1_1, all_0_1_1, all_38_0_23, one and discharging atoms multiplication(one, all_0_1_1) = all_0_1_1, addition(all_38_0_23, all_0_1_1) = all_0_1_1, yields:
% 187.27/138.35 | (229) ? [v0] : ? [v1] : (multiplication(one, all_38_0_23) = v0 & multiplication(one, all_0_1_1) = v1 & addition(v0, v1) = all_0_1_1)
% 187.27/138.35 |
% 187.27/138.35 | Instantiating formula (6) with all_66_1_53, all_18_0_16, all_0_1_1, all_18_0_16, all_18_0_16 and discharging atoms multiplication(all_18_0_16, all_0_1_1) = all_66_1_53, addition(all_18_0_16, all_18_0_16) = all_18_0_16, yields:
% 187.27/138.35 | (230) ? [v0] : ? [v1] : (multiplication(all_18_0_16, all_0_1_1) = v1 & multiplication(all_18_0_16, all_0_1_1) = v0 & addition(v0, v1) = all_66_1_53)
% 187.27/138.35 |
% 187.27/138.35 | Instantiating formula (24) with all_62_1_45, all_18_0_16, all_18_0_16, all_18_0_16, all_0_1_1 and discharging atoms multiplication(all_0_1_1, all_18_0_16) = all_62_1_45, addition(all_18_0_16, all_18_0_16) = all_18_0_16, yields:
% 187.27/138.35 | (231) ? [v0] : ? [v1] : (multiplication(all_0_1_1, all_18_0_16) = v1 & multiplication(all_0_1_1, all_18_0_16) = v0 & addition(v0, v1) = all_62_1_45)
% 187.27/138.35 |
% 187.27/138.35 | Instantiating formula (6) with all_0_0_0, all_0_1_1, all_0_1_1, all_49_0_33, all_18_1_17 and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_0_0_0, addition(all_18_1_17, all_49_0_33) = all_0_1_1, yields:
% 187.27/138.35 | (232) ? [v0] : ? [v1] : (multiplication(all_49_0_33, all_0_1_1) = v1 & multiplication(all_18_1_17, all_0_1_1) = v0 & addition(v0, v1) = all_0_0_0)
% 187.27/138.35 |
% 187.27/138.35 | Instantiating formula (24) with all_0_0_0, all_0_1_1, all_49_0_33, all_18_1_17, all_0_1_1 and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_0_0_0, addition(all_18_1_17, all_49_0_33) = all_0_1_1, yields:
% 187.27/138.35 | (233) ? [v0] : ? [v1] : (multiplication(all_0_1_1, all_49_0_33) = v1 & multiplication(all_0_1_1, all_18_1_17) = v0 & addition(v0, v1) = all_0_0_0)
% 187.27/138.35 |
% 187.27/138.35 | Instantiating formula (17) with all_0_1_1, all_18_1_17, all_49_0_33, all_0_2_2, all_0_1_1 and discharging atoms multiplication(all_0_1_1, all_0_2_2) = all_18_1_17, addition(all_18_1_17, all_49_0_33) = all_0_1_1, yields:
% 187.27/138.35 | (234) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & star(all_0_2_2) = v0 & leq(v1, all_0_1_1) = 0 & multiplication(all_49_0_33, v0) = v1) | ( ~ (v0 = 0) & leq(all_0_1_1, all_0_1_1) = v0))
% 187.27/138.35 |
% 187.27/138.35 | Instantiating formula (9) with all_0_1_1, all_18_1_17, all_60_1_43, all_18_1_17, all_49_0_33 and discharging atoms addition(all_60_1_43, all_18_1_17) = all_18_1_17, addition(all_18_1_17, all_49_0_33) = all_0_1_1, yields:
% 187.27/138.35 | (235) ? [v0] : (addition(all_60_1_43, v0) = all_0_1_1 & addition(all_18_1_17, all_49_0_33) = v0)
% 187.27/138.35 |
% 187.27/138.35 | Instantiating formula (9) with all_0_1_1, all_18_1_17, all_34_1_20, all_18_1_17, all_49_0_33 and discharging atoms addition(all_34_1_20, all_18_1_17) = all_18_1_17, addition(all_18_1_17, all_49_0_33) = all_0_1_1, yields:
% 187.27/138.35 | (236) ? [v0] : (addition(all_34_1_20, v0) = all_0_1_1 & addition(all_18_1_17, all_49_0_33) = v0)
% 187.27/138.35 |
% 187.27/138.35 | Instantiating formula (17) with all_58_0_41, all_18_1_17, all_0_1_1, all_0_2_2, all_0_1_1 and discharging atoms multiplication(all_0_1_1, all_0_2_2) = all_18_1_17, addition(all_18_1_17, all_0_1_1) = all_58_0_41, yields:
% 187.27/138.35 | (237) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & star(all_0_2_2) = v0 & leq(v1, all_0_1_1) = 0 & multiplication(all_0_1_1, v0) = v1) | ( ~ (v0 = 0) & leq(all_58_0_41, all_0_1_1) = v0))
% 187.27/138.35 |
% 187.27/138.35 | Instantiating formula (32) with all_58_0_41, all_0_1_1, all_18_1_17, all_18_1_17, all_49_0_33 and discharging atoms addition(all_18_1_17, all_49_0_33) = all_0_1_1, addition(all_18_1_17, all_0_1_1) = all_58_0_41, yields:
% 187.27/138.35 | (238) ? [v0] : (addition(v0, all_49_0_33) = all_58_0_41 & addition(all_18_1_17, all_18_1_17) = v0)
% 187.27/138.35 |
% 187.27/138.35 | Instantiating formula (6) with all_45_1_31, all_16_0_14, all_0_1_1, all_16_0_14, all_16_0_14 and discharging atoms multiplication(all_16_0_14, all_0_1_1) = all_45_1_31, addition(all_16_0_14, all_16_0_14) = all_16_0_14, yields:
% 187.27/138.35 | (239) ? [v0] : ? [v1] : (multiplication(all_16_0_14, all_0_1_1) = v1 & multiplication(all_16_0_14, all_0_1_1) = v0 & addition(v0, v1) = all_45_1_31)
% 187.27/138.35 |
% 187.27/138.35 | Instantiating formula (24) with all_36_1_22, all_16_0_14, all_16_0_14, all_16_0_14, all_0_1_1 and discharging atoms multiplication(all_0_1_1, all_16_0_14) = all_36_1_22, addition(all_16_0_14, all_16_0_14) = all_16_0_14, yields:
% 187.27/138.35 | (240) ? [v0] : ? [v1] : (multiplication(all_0_1_1, all_16_0_14) = v1 & multiplication(all_0_1_1, all_16_0_14) = v0 & addition(v0, v1) = all_36_1_22)
% 187.27/138.35 |
% 187.27/138.35 | Instantiating formula (6) with all_0_0_0, all_0_1_1, all_0_1_1, all_49_0_33, all_16_1_15 and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_0_0_0, addition(all_16_1_15, all_49_0_33) = all_0_1_1, yields:
% 187.27/138.35 | (241) ? [v0] : ? [v1] : (multiplication(all_49_0_33, all_0_1_1) = v1 & multiplication(all_16_1_15, all_0_1_1) = v0 & addition(v0, v1) = all_0_0_0)
% 187.27/138.35 |
% 187.27/138.35 | Instantiating formula (24) with all_0_0_0, all_0_1_1, all_49_0_33, all_16_1_15, all_0_1_1 and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_0_0_0, addition(all_16_1_15, all_49_0_33) = all_0_1_1, yields:
% 187.27/138.35 | (242) ? [v0] : ? [v1] : (multiplication(all_0_1_1, all_49_0_33) = v1 & multiplication(all_0_1_1, all_16_1_15) = v0 & addition(v0, v1) = all_0_0_0)
% 187.27/138.35 |
% 187.27/138.35 | Instantiating formula (5) with all_0_1_1, all_16_1_15, all_49_0_33, all_0_1_1, all_0_2_2 and discharging atoms multiplication(all_0_2_2, all_0_1_1) = all_16_1_15, addition(all_16_1_15, all_49_0_33) = all_0_1_1, yields:
% 187.27/138.36 | (243) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & star(all_0_2_2) = v0 & leq(v1, all_0_1_1) = 0 & multiplication(v0, all_49_0_33) = v1) | ( ~ (v0 = 0) & leq(all_0_1_1, all_0_1_1) = v0))
% 187.27/138.36 |
% 187.27/138.36 | Instantiating formula (9) with all_0_1_1, all_16_1_15, all_56_1_40, all_16_1_15, all_49_0_33 and discharging atoms addition(all_56_1_40, all_16_1_15) = all_16_1_15, addition(all_16_1_15, all_49_0_33) = all_0_1_1, yields:
% 187.27/138.36 | (244) ? [v0] : (addition(all_56_1_40, v0) = all_0_1_1 & addition(all_16_1_15, all_49_0_33) = v0)
% 187.27/138.36 |
% 187.27/138.36 | Instantiating formula (9) with all_0_1_1, all_16_1_15, all_42_1_26, all_16_1_15, all_49_0_33 and discharging atoms addition(all_42_1_26, all_16_1_15) = all_16_1_15, addition(all_16_1_15, all_49_0_33) = all_0_1_1, yields:
% 187.27/138.36 | (245) ? [v0] : (addition(all_42_1_26, v0) = all_0_1_1 & addition(all_16_1_15, all_49_0_33) = v0)
% 187.27/138.36 |
% 187.27/138.36 | Instantiating formula (5) with all_40_0_24, all_16_1_15, all_0_1_1, all_0_1_1, all_0_2_2 and discharging atoms multiplication(all_0_2_2, all_0_1_1) = all_16_1_15, addition(all_16_1_15, all_0_1_1) = all_40_0_24, yields:
% 187.27/138.36 | (246) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & star(all_0_2_2) = v0 & leq(v1, all_0_1_1) = 0 & multiplication(v0, all_0_1_1) = v1) | ( ~ (v0 = 0) & leq(all_40_0_24, all_0_1_1) = v0))
% 187.27/138.36 |
% 187.27/138.36 | Instantiating formula (32) with all_40_0_24, all_0_1_1, all_16_1_15, all_16_1_15, all_49_0_33 and discharging atoms addition(all_16_1_15, all_49_0_33) = all_0_1_1, addition(all_16_1_15, all_0_1_1) = all_40_0_24, yields:
% 187.27/138.36 | (247) ? [v0] : (addition(v0, all_49_0_33) = all_40_0_24 & addition(all_16_1_15, all_16_1_15) = v0)
% 187.27/138.36 |
% 187.27/138.36 | Instantiating formula (6) with all_0_0_0, all_0_1_1, all_0_1_1, all_18_0_16, all_0_1_1 and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_0_0_0, addition(all_0_1_1, all_18_0_16) = all_0_1_1, yields:
% 187.27/138.36 | (248) ? [v0] : ? [v1] : (multiplication(all_18_0_16, all_0_1_1) = v1 & multiplication(all_0_1_1, all_0_1_1) = v0 & addition(v0, v1) = all_0_0_0)
% 187.27/138.36 |
% 187.27/138.36 | Instantiating formula (24) with all_0_0_0, all_0_1_1, all_18_0_16, all_0_1_1, all_0_1_1 and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_0_0_0, addition(all_0_1_1, all_18_0_16) = all_0_1_1, yields:
% 187.27/138.36 | (249) ? [v0] : ? [v1] : (multiplication(all_0_1_1, all_18_0_16) = v1 & multiplication(all_0_1_1, all_0_1_1) = v0 & addition(v0, v1) = all_0_0_0)
% 187.27/138.36 |
% 187.27/138.36 | Instantiating formula (24) with all_66_1_53, all_0_1_1, all_18_0_16, all_0_1_1, all_18_0_16 and discharging atoms multiplication(all_18_0_16, all_0_1_1) = all_66_1_53, addition(all_0_1_1, all_18_0_16) = all_0_1_1, yields:
% 187.27/138.36 | (250) ? [v0] : ? [v1] : (multiplication(all_18_0_16, all_18_0_16) = v1 & multiplication(all_18_0_16, all_0_1_1) = v0 & addition(v0, v1) = all_66_1_53)
% 187.27/138.36 |
% 187.27/138.36 | Instantiating formula (6) with all_62_1_45, all_0_1_1, all_18_0_16, all_18_0_16, all_0_1_1 and discharging atoms multiplication(all_0_1_1, all_18_0_16) = all_62_1_45, addition(all_0_1_1, all_18_0_16) = all_0_1_1, yields:
% 187.27/138.36 | (251) ? [v0] : ? [v1] : (multiplication(all_18_0_16, all_18_0_16) = v1 & multiplication(all_0_1_1, all_18_0_16) = v0 & addition(v0, v1) = all_62_1_45)
% 187.27/138.36 |
% 187.27/138.36 | Instantiating formula (6) with all_36_1_22, all_0_1_1, all_16_0_14, all_18_0_16, all_0_1_1 and discharging atoms multiplication(all_0_1_1, all_16_0_14) = all_36_1_22, addition(all_0_1_1, all_18_0_16) = all_0_1_1, yields:
% 187.27/138.36 | (252) ? [v0] : ? [v1] : (multiplication(all_18_0_16, all_16_0_14) = v1 & multiplication(all_0_1_1, all_16_0_14) = v0 & addition(v0, v1) = all_36_1_22)
% 187.27/138.36 |
% 187.27/138.36 | Instantiating formula (6) with all_0_1_1, all_0_1_1, one, all_18_0_16, all_0_1_1 and discharging atoms multiplication(all_0_1_1, one) = all_0_1_1, addition(all_0_1_1, all_18_0_16) = all_0_1_1, yields:
% 187.27/138.36 | (253) ? [v0] : ? [v1] : (multiplication(all_18_0_16, one) = v1 & multiplication(all_0_1_1, one) = v0 & addition(v0, v1) = all_0_1_1)
% 187.27/138.36 |
% 187.27/138.36 | Instantiating formula (24) with all_0_1_1, all_0_1_1, all_18_0_16, all_0_1_1, one and discharging atoms multiplication(one, all_0_1_1) = all_0_1_1, addition(all_0_1_1, all_18_0_16) = all_0_1_1, yields:
% 187.27/138.36 | (254) ? [v0] : ? [v1] : (multiplication(one, all_18_0_16) = v1 & multiplication(one, all_0_1_1) = v0 & addition(v0, v1) = all_0_1_1)
% 187.27/138.36 |
% 187.27/138.36 | Instantiating formula (6) with all_0_0_0, all_0_1_1, all_0_1_1, all_16_0_14, all_0_1_1 and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_0_0_0, addition(all_0_1_1, all_16_0_14) = all_0_1_1, yields:
% 187.27/138.36 | (255) ? [v0] : ? [v1] : (multiplication(all_16_0_14, all_0_1_1) = v1 & multiplication(all_0_1_1, all_0_1_1) = v0 & addition(v0, v1) = all_0_0_0)
% 187.27/138.36 |
% 187.27/138.36 | Instantiating formula (24) with all_0_0_0, all_0_1_1, all_16_0_14, all_0_1_1, all_0_1_1 and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_0_0_0, addition(all_0_1_1, all_16_0_14) = all_0_1_1, yields:
% 187.27/138.36 | (256) ? [v0] : ? [v1] : (multiplication(all_0_1_1, all_16_0_14) = v1 & multiplication(all_0_1_1, all_0_1_1) = v0 & addition(v0, v1) = all_0_0_0)
% 187.27/138.36 |
% 187.27/138.36 | Instantiating formula (24) with all_66_1_53, all_0_1_1, all_16_0_14, all_0_1_1, all_18_0_16 and discharging atoms multiplication(all_18_0_16, all_0_1_1) = all_66_1_53, addition(all_0_1_1, all_16_0_14) = all_0_1_1, yields:
% 187.27/138.36 | (257) ? [v0] : ? [v1] : (multiplication(all_18_0_16, all_16_0_14) = v1 & multiplication(all_18_0_16, all_0_1_1) = v0 & addition(v0, v1) = all_66_1_53)
% 187.27/138.36 |
% 187.27/138.36 | Instantiating formula (24) with all_45_1_31, all_0_1_1, all_16_0_14, all_0_1_1, all_16_0_14 and discharging atoms multiplication(all_16_0_14, all_0_1_1) = all_45_1_31, addition(all_0_1_1, all_16_0_14) = all_0_1_1, yields:
% 187.27/138.36 | (258) ? [v0] : ? [v1] : (multiplication(all_16_0_14, all_16_0_14) = v1 & multiplication(all_16_0_14, all_0_1_1) = v0 & addition(v0, v1) = all_45_1_31)
% 187.27/138.36 |
% 187.27/138.36 | Instantiating formula (6) with all_62_1_45, all_0_1_1, all_18_0_16, all_16_0_14, all_0_1_1 and discharging atoms multiplication(all_0_1_1, all_18_0_16) = all_62_1_45, addition(all_0_1_1, all_16_0_14) = all_0_1_1, yields:
% 187.27/138.36 | (259) ? [v0] : ? [v1] : (multiplication(all_16_0_14, all_18_0_16) = v1 & multiplication(all_0_1_1, all_18_0_16) = v0 & addition(v0, v1) = all_62_1_45)
% 187.27/138.36 |
% 187.27/138.36 | Instantiating formula (6) with all_36_1_22, all_0_1_1, all_16_0_14, all_16_0_14, all_0_1_1 and discharging atoms multiplication(all_0_1_1, all_16_0_14) = all_36_1_22, addition(all_0_1_1, all_16_0_14) = all_0_1_1, yields:
% 187.27/138.36 | (260) ? [v0] : ? [v1] : (multiplication(all_16_0_14, all_16_0_14) = v1 & multiplication(all_0_1_1, all_16_0_14) = v0 & addition(v0, v1) = all_36_1_22)
% 187.27/138.36 |
% 187.27/138.36 | Instantiating formula (6) with all_0_1_1, all_0_1_1, one, all_16_0_14, all_0_1_1 and discharging atoms multiplication(all_0_1_1, one) = all_0_1_1, addition(all_0_1_1, all_16_0_14) = all_0_1_1, yields:
% 187.27/138.36 | (261) ? [v0] : ? [v1] : (multiplication(all_16_0_14, one) = v1 & multiplication(all_0_1_1, one) = v0 & addition(v0, v1) = all_0_1_1)
% 187.27/138.36 |
% 187.27/138.36 | Instantiating formula (6) with all_0_0_0, all_0_1_1, all_0_1_1, all_58_0_41, one and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_0_0_0, addition(one, all_58_0_41) = all_0_1_1, yields:
% 187.27/138.36 | (262) ? [v0] : ? [v1] : (multiplication(all_58_0_41, all_0_1_1) = v1 & multiplication(one, all_0_1_1) = v0 & addition(v0, v1) = all_0_0_0)
% 187.27/138.36 |
% 187.27/138.36 | Instantiating formula (24) with all_0_0_0, all_0_1_1, all_58_0_41, one, all_0_1_1 and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_0_0_0, addition(one, all_58_0_41) = all_0_1_1, yields:
% 187.27/138.36 | (263) ? [v0] : ? [v1] : (multiplication(all_0_1_1, all_58_0_41) = v1 & multiplication(all_0_1_1, one) = v0 & addition(v0, v1) = all_0_0_0)
% 187.27/138.36 |
% 187.27/138.36 | Instantiating formula (6) with all_0_1_1, all_0_1_1, one, all_58_0_41, one and discharging atoms multiplication(all_0_1_1, one) = all_0_1_1, addition(one, all_58_0_41) = all_0_1_1, yields:
% 187.27/138.36 | (264) ? [v0] : ? [v1] : (multiplication(all_58_0_41, one) = v1 & multiplication(one, one) = v0 & addition(v0, v1) = all_0_1_1)
% 187.27/138.36 |
% 187.27/138.36 | Instantiating formula (24) with all_0_1_1, all_0_1_1, all_58_0_41, one, one and discharging atoms multiplication(one, all_0_1_1) = all_0_1_1, addition(one, all_58_0_41) = all_0_1_1, yields:
% 187.27/138.36 | (265) ? [v0] : ? [v1] : (multiplication(one, all_58_0_41) = v1 & multiplication(one, one) = v0 & addition(v0, v1) = all_0_1_1)
% 187.27/138.36 |
% 187.27/138.36 | Instantiating formula (6) with all_0_0_0, all_0_1_1, all_0_1_1, all_40_0_24, one and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_0_0_0, addition(one, all_40_0_24) = all_0_1_1, yields:
% 187.27/138.36 | (266) ? [v0] : ? [v1] : (multiplication(all_40_0_24, all_0_1_1) = v1 & multiplication(one, all_0_1_1) = v0 & addition(v0, v1) = all_0_0_0)
% 187.27/138.36 |
% 187.27/138.36 | Instantiating formula (24) with all_0_0_0, all_0_1_1, all_40_0_24, one, all_0_1_1 and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_0_0_0, addition(one, all_40_0_24) = all_0_1_1, yields:
% 187.27/138.36 | (267) ? [v0] : ? [v1] : (multiplication(all_0_1_1, all_40_0_24) = v1 & multiplication(all_0_1_1, one) = v0 & addition(v0, v1) = all_0_0_0)
% 187.27/138.37 |
% 187.27/138.37 | Instantiating formula (6) with all_0_1_1, all_0_1_1, one, all_40_0_24, one and discharging atoms multiplication(all_0_1_1, one) = all_0_1_1, addition(one, all_40_0_24) = all_0_1_1, yields:
% 187.27/138.37 | (268) ? [v0] : ? [v1] : (multiplication(all_40_0_24, one) = v1 & multiplication(one, one) = v0 & addition(v0, v1) = all_0_1_1)
% 187.27/138.37 |
% 187.27/138.37 | Instantiating formula (24) with all_0_1_1, all_0_1_1, all_40_0_24, one, one and discharging atoms multiplication(one, all_0_1_1) = all_0_1_1, addition(one, all_40_0_24) = all_0_1_1, yields:
% 187.27/138.37 | (269) ? [v0] : ? [v1] : (multiplication(one, all_40_0_24) = v1 & multiplication(one, one) = v0 & addition(v0, v1) = all_0_1_1)
% 187.27/138.37 |
% 187.27/138.37 | Instantiating formula (32) with all_49_0_33, all_0_1_1, one, one, all_58_0_41 and discharging atoms addition(one, all_58_0_41) = all_0_1_1, addition(one, all_0_1_1) = all_49_0_33, yields:
% 187.27/138.37 | (270) ? [v0] : (addition(v0, all_58_0_41) = all_49_0_33 & addition(one, one) = v0)
% 187.27/138.37 |
% 187.27/138.37 | Instantiating formula (32) with all_49_0_33, all_0_1_1, one, one, all_40_0_24 and discharging atoms addition(one, all_40_0_24) = all_0_1_1, addition(one, all_0_1_1) = all_49_0_33, yields:
% 187.27/138.37 | (271) ? [v0] : (addition(v0, all_40_0_24) = all_49_0_33 & addition(one, one) = v0)
% 187.27/138.37 |
% 187.27/138.37 | Instantiating (234) with all_100_0_66, all_100_1_67, all_100_2_68 yields:
% 187.27/138.37 | (272) (all_100_0_66 = 0 & star(all_0_2_2) = all_100_2_68 & leq(all_100_1_67, all_0_1_1) = 0 & multiplication(all_49_0_33, all_100_2_68) = all_100_1_67) | ( ~ (all_100_2_68 = 0) & leq(all_0_1_1, all_0_1_1) = all_100_2_68)
% 187.27/138.37 |
% 187.27/138.37 | Instantiating (233) with all_101_0_69, all_101_1_70 yields:
% 187.27/138.37 | (273) multiplication(all_0_1_1, all_49_0_33) = all_101_0_69 & multiplication(all_0_1_1, all_18_1_17) = all_101_1_70 & addition(all_101_1_70, all_101_0_69) = all_0_0_0
% 187.27/138.37 |
% 187.27/138.37 | Applying alpha-rule on (273) yields:
% 187.27/138.37 | (274) multiplication(all_0_1_1, all_49_0_33) = all_101_0_69
% 187.27/138.37 | (275) multiplication(all_0_1_1, all_18_1_17) = all_101_1_70
% 187.27/138.37 | (276) addition(all_101_1_70, all_101_0_69) = all_0_0_0
% 187.27/138.37 |
% 187.27/138.37 | Instantiating (235) with all_113_0_78 yields:
% 187.27/138.37 | (277) addition(all_60_1_43, all_113_0_78) = all_0_1_1 & addition(all_18_1_17, all_49_0_33) = all_113_0_78
% 187.27/138.37 |
% 187.27/138.37 | Applying alpha-rule on (277) yields:
% 187.27/138.37 | (278) addition(all_60_1_43, all_113_0_78) = all_0_1_1
% 187.27/138.37 | (279) addition(all_18_1_17, all_49_0_33) = all_113_0_78
% 187.27/138.37 |
% 187.27/138.37 | Instantiating (237) with all_122_0_87, all_122_1_88, all_122_2_89 yields:
% 187.27/138.37 | (280) (all_122_0_87 = 0 & star(all_0_2_2) = all_122_2_89 & leq(all_122_1_88, all_0_1_1) = 0 & multiplication(all_0_1_1, all_122_2_89) = all_122_1_88) | ( ~ (all_122_2_89 = 0) & leq(all_58_0_41, all_0_1_1) = all_122_2_89)
% 187.27/138.37 |
% 187.27/138.37 | Instantiating (232) with all_129_0_96, all_129_1_97 yields:
% 187.27/138.37 | (281) multiplication(all_49_0_33, all_0_1_1) = all_129_0_96 & multiplication(all_18_1_17, all_0_1_1) = all_129_1_97 & addition(all_129_1_97, all_129_0_96) = all_0_0_0
% 187.27/138.37 |
% 187.27/138.37 | Applying alpha-rule on (281) yields:
% 187.27/138.37 | (282) multiplication(all_49_0_33, all_0_1_1) = all_129_0_96
% 187.27/138.37 | (283) multiplication(all_18_1_17, all_0_1_1) = all_129_1_97
% 187.27/138.37 | (284) addition(all_129_1_97, all_129_0_96) = all_0_0_0
% 187.27/138.37 |
% 187.27/138.37 | Instantiating (236) with all_131_0_98 yields:
% 187.27/138.37 | (285) addition(all_34_1_20, all_131_0_98) = all_0_1_1 & addition(all_18_1_17, all_49_0_33) = all_131_0_98
% 187.27/138.37 |
% 187.27/138.37 | Applying alpha-rule on (285) yields:
% 187.27/138.37 | (286) addition(all_34_1_20, all_131_0_98) = all_0_1_1
% 187.27/138.37 | (287) addition(all_18_1_17, all_49_0_33) = all_131_0_98
% 187.27/138.37 |
% 187.27/138.37 | Instantiating (230) with all_167_0_124, all_167_1_125 yields:
% 187.27/138.37 | (288) multiplication(all_18_0_16, all_0_1_1) = all_167_0_124 & multiplication(all_18_0_16, all_0_1_1) = all_167_1_125 & addition(all_167_1_125, all_167_0_124) = all_66_1_53
% 187.27/138.37 |
% 187.27/138.37 | Applying alpha-rule on (288) yields:
% 187.27/138.37 | (289) multiplication(all_18_0_16, all_0_1_1) = all_167_0_124
% 187.27/138.37 | (290) multiplication(all_18_0_16, all_0_1_1) = all_167_1_125
% 187.27/138.37 | (291) addition(all_167_1_125, all_167_0_124) = all_66_1_53
% 187.27/138.37 |
% 187.27/138.37 | Instantiating (231) with all_196_0_148, all_196_1_149 yields:
% 187.27/138.37 | (292) multiplication(all_0_1_1, all_18_0_16) = all_196_0_148 & multiplication(all_0_1_1, all_18_0_16) = all_196_1_149 & addition(all_196_1_149, all_196_0_148) = all_62_1_45
% 187.27/138.37 |
% 187.27/138.37 | Applying alpha-rule on (292) yields:
% 187.27/138.37 | (293) multiplication(all_0_1_1, all_18_0_16) = all_196_0_148
% 187.27/138.37 | (294) multiplication(all_0_1_1, all_18_0_16) = all_196_1_149
% 187.27/138.37 | (295) addition(all_196_1_149, all_196_0_148) = all_62_1_45
% 187.27/138.37 |
% 187.27/138.37 | Instantiating (204) with all_207_0_158 yields:
% 187.27/138.37 | (296) multiplication(all_207_0_158, one) = all_0_0_0 & multiplication(all_0_1_1, all_0_1_1) = all_207_0_158
% 187.27/138.37 |
% 187.27/138.37 | Applying alpha-rule on (296) yields:
% 187.27/138.37 | (297) multiplication(all_207_0_158, one) = all_0_0_0
% 187.27/138.37 | (298) multiplication(all_0_1_1, all_0_1_1) = all_207_0_158
% 187.27/138.37 |
% 187.27/138.37 | Instantiating (203) with all_209_0_159, all_209_1_160 yields:
% 187.27/138.37 | (299) multiplication(all_0_1_1, all_16_1_15) = all_209_0_159 & multiplication(all_0_1_1, one) = all_209_1_160 & addition(all_209_1_160, all_209_0_159) = all_36_1_22
% 187.27/138.37 |
% 187.27/138.37 | Applying alpha-rule on (299) yields:
% 187.27/138.37 | (300) multiplication(all_0_1_1, all_16_1_15) = all_209_0_159
% 187.27/138.37 | (301) multiplication(all_0_1_1, one) = all_209_1_160
% 187.27/138.37 | (302) addition(all_209_1_160, all_209_0_159) = all_36_1_22
% 187.27/138.37 |
% 187.27/138.37 | Instantiating (198) with all_213_0_162, all_213_1_163 yields:
% 187.27/138.37 | (303) multiplication(all_16_0_14, all_18_0_16) = all_213_1_163 & multiplication(all_0_1_1, all_18_0_16) = all_213_0_162 & addition(all_213_1_163, all_213_0_162) = all_62_1_45
% 187.27/138.37 |
% 187.27/138.37 | Applying alpha-rule on (303) yields:
% 187.27/138.37 | (304) multiplication(all_16_0_14, all_18_0_16) = all_213_1_163
% 187.27/138.37 | (305) multiplication(all_0_1_1, all_18_0_16) = all_213_0_162
% 187.27/138.37 | (306) addition(all_213_1_163, all_213_0_162) = all_62_1_45
% 187.27/138.37 |
% 187.27/138.37 | Instantiating (197) with all_215_0_164, all_215_1_165 yields:
% 187.27/138.37 | (307) multiplication(all_0_1_1, all_18_1_17) = all_215_1_165 & multiplication(all_0_1_1, one) = all_215_0_164 & addition(all_215_1_165, all_215_0_164) = all_62_1_45
% 187.27/138.37 |
% 187.27/138.37 | Applying alpha-rule on (307) yields:
% 187.27/138.37 | (308) multiplication(all_0_1_1, all_18_1_17) = all_215_1_165
% 187.27/138.37 | (309) multiplication(all_0_1_1, one) = all_215_0_164
% 187.27/138.37 | (310) addition(all_215_1_165, all_215_0_164) = all_62_1_45
% 187.27/138.37 |
% 187.27/138.37 | Instantiating (267) with all_219_0_168, all_219_1_169 yields:
% 187.27/138.37 | (311) multiplication(all_0_1_1, all_40_0_24) = all_219_0_168 & multiplication(all_0_1_1, one) = all_219_1_169 & addition(all_219_1_169, all_219_0_168) = all_0_0_0
% 187.27/138.37 |
% 187.27/138.37 | Applying alpha-rule on (311) yields:
% 187.27/138.37 | (312) multiplication(all_0_1_1, all_40_0_24) = all_219_0_168
% 187.27/138.37 | (313) multiplication(all_0_1_1, one) = all_219_1_169
% 187.27/138.37 | (314) addition(all_219_1_169, all_219_0_168) = all_0_0_0
% 187.27/138.37 |
% 187.27/138.37 | Instantiating (261) with all_224_0_175, all_224_1_176 yields:
% 187.27/138.37 | (315) multiplication(all_16_0_14, one) = all_224_0_175 & multiplication(all_0_1_1, one) = all_224_1_176 & addition(all_224_1_176, all_224_0_175) = all_0_1_1
% 187.27/138.37 |
% 187.27/138.37 | Applying alpha-rule on (315) yields:
% 187.27/138.37 | (316) multiplication(all_16_0_14, one) = all_224_0_175
% 187.27/138.37 | (317) multiplication(all_0_1_1, one) = all_224_1_176
% 187.27/138.37 | (318) addition(all_224_1_176, all_224_0_175) = all_0_1_1
% 187.27/138.37 |
% 187.27/138.37 | Instantiating (238) with all_232_0_180 yields:
% 187.27/138.37 | (319) addition(all_232_0_180, all_49_0_33) = all_58_0_41 & addition(all_18_1_17, all_18_1_17) = all_232_0_180
% 187.27/138.37 |
% 187.27/138.37 | Applying alpha-rule on (319) yields:
% 187.27/138.37 | (320) addition(all_232_0_180, all_49_0_33) = all_58_0_41
% 187.27/138.37 | (321) addition(all_18_1_17, all_18_1_17) = all_232_0_180
% 187.27/138.37 |
% 187.27/138.37 | Instantiating (225) with all_265_0_202, all_265_1_203 yields:
% 187.27/138.37 | (322) multiplication(all_18_0_16, all_38_0_23) = all_265_1_203 & multiplication(all_18_0_16, all_0_1_1) = all_265_0_202 & addition(all_265_1_203, all_265_0_202) = all_66_1_53
% 187.27/138.37 |
% 187.27/138.37 | Applying alpha-rule on (322) yields:
% 187.27/138.37 | (323) multiplication(all_18_0_16, all_38_0_23) = all_265_1_203
% 187.27/138.37 | (324) multiplication(all_18_0_16, all_0_1_1) = all_265_0_202
% 187.27/138.37 | (325) addition(all_265_1_203, all_265_0_202) = all_66_1_53
% 187.27/138.37 |
% 187.27/138.37 | Instantiating (264) with all_277_0_209, all_277_1_210 yields:
% 187.27/138.37 | (326) multiplication(all_58_0_41, one) = all_277_0_209 & multiplication(one, one) = all_277_1_210 & addition(all_277_1_210, all_277_0_209) = all_0_1_1
% 187.27/138.37 |
% 187.27/138.37 | Applying alpha-rule on (326) yields:
% 187.27/138.37 | (327) multiplication(all_58_0_41, one) = all_277_0_209
% 187.27/138.37 | (328) multiplication(one, one) = all_277_1_210
% 187.27/138.37 | (329) addition(all_277_1_210, all_277_0_209) = all_0_1_1
% 187.27/138.37 |
% 187.27/138.37 | Instantiating (258) with all_279_0_211, all_279_1_212 yields:
% 187.27/138.37 | (330) multiplication(all_16_0_14, all_16_0_14) = all_279_0_211 & multiplication(all_16_0_14, all_0_1_1) = all_279_1_212 & addition(all_279_1_212, all_279_0_211) = all_45_1_31
% 187.27/138.37 |
% 187.27/138.37 | Applying alpha-rule on (330) yields:
% 187.27/138.37 | (331) multiplication(all_16_0_14, all_16_0_14) = all_279_0_211
% 187.27/138.37 | (332) multiplication(all_16_0_14, all_0_1_1) = all_279_1_212
% 187.27/138.37 | (333) addition(all_279_1_212, all_279_0_211) = all_45_1_31
% 187.27/138.37 |
% 187.27/138.37 | Instantiating (257) with all_281_0_213, all_281_1_214 yields:
% 187.27/138.37 | (334) multiplication(all_18_0_16, all_16_0_14) = all_281_0_213 & multiplication(all_18_0_16, all_0_1_1) = all_281_1_214 & addition(all_281_1_214, all_281_0_213) = all_66_1_53
% 187.27/138.37 |
% 187.27/138.37 | Applying alpha-rule on (334) yields:
% 187.27/138.37 | (335) multiplication(all_18_0_16, all_16_0_14) = all_281_0_213
% 187.27/138.37 | (336) multiplication(all_18_0_16, all_0_1_1) = all_281_1_214
% 187.27/138.37 | (337) addition(all_281_1_214, all_281_0_213) = all_66_1_53
% 187.27/138.38 |
% 187.27/138.38 | Instantiating (265) with all_285_0_217, all_285_1_218 yields:
% 187.27/138.38 | (338) multiplication(one, all_58_0_41) = all_285_0_217 & multiplication(one, one) = all_285_1_218 & addition(all_285_1_218, all_285_0_217) = all_0_1_1
% 187.27/138.38 |
% 187.27/138.38 | Applying alpha-rule on (338) yields:
% 187.27/138.38 | (339) multiplication(one, all_58_0_41) = all_285_0_217
% 187.27/138.38 | (340) multiplication(one, one) = all_285_1_218
% 187.27/138.38 | (341) addition(all_285_1_218, all_285_0_217) = all_0_1_1
% 187.27/138.38 |
% 187.27/138.38 | Instantiating (229) with all_301_0_226, all_301_1_227 yields:
% 187.27/138.38 | (342) multiplication(one, all_38_0_23) = all_301_1_227 & multiplication(one, all_0_1_1) = all_301_0_226 & addition(all_301_1_227, all_301_0_226) = all_0_1_1
% 187.27/138.38 |
% 187.27/138.38 | Applying alpha-rule on (342) yields:
% 187.27/138.38 | (343) multiplication(one, all_38_0_23) = all_301_1_227
% 187.27/138.38 | (344) multiplication(one, all_0_1_1) = all_301_0_226
% 187.27/138.38 | (345) addition(all_301_1_227, all_301_0_226) = all_0_1_1
% 187.27/138.38 |
% 187.27/138.38 | Instantiating (227) with all_303_0_228, all_303_1_229 yields:
% 187.27/138.38 | (346) multiplication(all_38_0_23, all_16_0_14) = all_303_1_229 & multiplication(all_0_1_1, all_16_0_14) = all_303_0_228 & addition(all_303_1_229, all_303_0_228) = all_36_1_22
% 187.27/138.38 |
% 187.27/138.38 | Applying alpha-rule on (346) yields:
% 187.27/138.38 | (347) multiplication(all_38_0_23, all_16_0_14) = all_303_1_229
% 187.27/138.38 | (348) multiplication(all_0_1_1, all_16_0_14) = all_303_0_228
% 187.27/138.38 | (349) addition(all_303_1_229, all_303_0_228) = all_36_1_22
% 187.27/138.38 |
% 187.27/138.38 | Instantiating (221) with all_307_0_231, all_307_1_232 yields:
% 187.27/138.38 | (350) multiplication(all_47_0_32, one) = all_307_1_232 & multiplication(all_0_1_1, one) = all_307_0_231 & addition(all_307_1_232, all_307_0_231) = all_0_1_1
% 187.27/138.38 |
% 187.27/138.38 | Applying alpha-rule on (350) yields:
% 187.27/138.38 | (351) multiplication(all_47_0_32, one) = all_307_1_232
% 187.27/138.38 | (352) multiplication(all_0_1_1, one) = all_307_0_231
% 187.27/138.38 | (353) addition(all_307_1_232, all_307_0_231) = all_0_1_1
% 187.27/138.38 |
% 187.27/138.38 | Instantiating (219) with all_309_0_233, all_309_1_234 yields:
% 187.27/138.38 | (354) multiplication(all_47_0_32, all_18_0_16) = all_309_1_234 & multiplication(all_0_1_1, all_18_0_16) = all_309_0_233 & addition(all_309_1_234, all_309_0_233) = all_62_1_45
% 187.27/138.38 |
% 187.27/138.38 | Applying alpha-rule on (354) yields:
% 187.27/138.38 | (355) multiplication(all_47_0_32, all_18_0_16) = all_309_1_234
% 187.27/138.38 | (356) multiplication(all_0_1_1, all_18_0_16) = all_309_0_233
% 187.27/138.38 | (357) addition(all_309_1_234, all_309_0_233) = all_62_1_45
% 187.27/138.38 |
% 187.27/138.38 | Instantiating (218) with all_311_0_235, all_311_1_236 yields:
% 187.27/138.38 | (358) multiplication(all_16_0_14, all_47_0_32) = all_311_1_236 & multiplication(all_16_0_14, all_0_1_1) = all_311_0_235 & addition(all_311_1_236, all_311_0_235) = all_45_1_31
% 187.27/138.38 |
% 187.27/138.38 | Applying alpha-rule on (358) yields:
% 187.27/138.38 | (359) multiplication(all_16_0_14, all_47_0_32) = all_311_1_236
% 187.27/138.38 | (360) multiplication(all_16_0_14, all_0_1_1) = all_311_0_235
% 187.27/138.38 | (361) addition(all_311_1_236, all_311_0_235) = all_45_1_31
% 187.27/138.38 |
% 187.27/138.38 | Instantiating (220) with all_315_0_238, all_315_1_239 yields:
% 187.27/138.38 | (362) multiplication(all_47_0_32, all_16_0_14) = all_315_1_239 & multiplication(all_0_1_1, all_16_0_14) = all_315_0_238 & addition(all_315_1_239, all_315_0_238) = all_36_1_22
% 187.27/138.38 |
% 187.27/138.38 | Applying alpha-rule on (362) yields:
% 187.27/138.38 | (363) multiplication(all_47_0_32, all_16_0_14) = all_315_1_239
% 187.27/138.38 | (364) multiplication(all_0_1_1, all_16_0_14) = all_315_0_238
% 187.27/138.38 | (365) addition(all_315_1_239, all_315_0_238) = all_36_1_22
% 187.27/138.38 |
% 187.27/138.38 | Instantiating (217) with all_317_0_240, all_317_1_241 yields:
% 187.27/138.38 | (366) multiplication(all_18_0_16, all_47_0_32) = all_317_1_241 & multiplication(all_18_0_16, all_0_1_1) = all_317_0_240 & addition(all_317_1_241, all_317_0_240) = all_66_1_53
% 187.27/138.38 |
% 187.27/138.38 | Applying alpha-rule on (366) yields:
% 187.27/138.38 | (367) multiplication(all_18_0_16, all_47_0_32) = all_317_1_241
% 187.27/138.38 | (368) multiplication(all_18_0_16, all_0_1_1) = all_317_0_240
% 187.27/138.38 | (369) addition(all_317_1_241, all_317_0_240) = all_66_1_53
% 187.27/138.38 |
% 187.27/138.38 | Instantiating (226) with all_323_0_246, all_323_1_247 yields:
% 187.27/138.38 | (370) multiplication(all_38_0_23, all_18_0_16) = all_323_1_247 & multiplication(all_0_1_1, all_18_0_16) = all_323_0_246 & addition(all_323_1_247, all_323_0_246) = all_62_1_45
% 187.27/138.38 |
% 187.27/138.38 | Applying alpha-rule on (370) yields:
% 187.27/138.38 | (371) multiplication(all_38_0_23, all_18_0_16) = all_323_1_247
% 187.27/138.38 | (372) multiplication(all_0_1_1, all_18_0_16) = all_323_0_246
% 187.27/138.38 | (373) addition(all_323_1_247, all_323_0_246) = all_62_1_45
% 187.27/138.38 |
% 187.27/138.38 | Instantiating (216) with all_325_0_248, all_325_1_249 yields:
% 187.27/138.38 | (374) multiplication(all_0_1_1, all_47_0_32) = all_325_1_249 & multiplication(all_0_1_1, all_0_1_1) = all_325_0_248 & addition(all_325_1_249, all_325_0_248) = all_0_0_0
% 187.27/138.38 |
% 187.27/138.38 | Applying alpha-rule on (374) yields:
% 187.27/138.38 | (375) multiplication(all_0_1_1, all_47_0_32) = all_325_1_249
% 187.27/138.38 | (376) multiplication(all_0_1_1, all_0_1_1) = all_325_0_248
% 187.27/138.38 | (377) addition(all_325_1_249, all_325_0_248) = all_0_0_0
% 187.27/138.38 |
% 187.27/138.38 | Instantiating (228) with all_327_0_250, all_327_1_251 yields:
% 187.27/138.38 | (378) multiplication(all_38_0_23, one) = all_327_1_251 & multiplication(all_0_1_1, one) = all_327_0_250 & addition(all_327_1_251, all_327_0_250) = all_0_1_1
% 187.27/138.38 |
% 187.27/138.38 | Applying alpha-rule on (378) yields:
% 187.27/138.38 | (379) multiplication(all_38_0_23, one) = all_327_1_251
% 187.27/138.38 | (380) multiplication(all_0_1_1, one) = all_327_0_250
% 187.27/138.38 | (381) addition(all_327_1_251, all_327_0_250) = all_0_1_1
% 187.27/138.38 |
% 187.27/138.38 | Instantiating (224) with all_331_0_253, all_331_1_254 yields:
% 187.27/138.38 | (382) multiplication(all_0_1_1, all_38_0_23) = all_331_1_254 & multiplication(all_0_1_1, all_0_1_1) = all_331_0_253 & addition(all_331_1_254, all_331_0_253) = all_0_0_0
% 187.27/138.38 |
% 187.27/138.38 | Applying alpha-rule on (382) yields:
% 187.27/138.38 | (383) multiplication(all_0_1_1, all_38_0_23) = all_331_1_254
% 187.27/138.38 | (384) multiplication(all_0_1_1, all_0_1_1) = all_331_0_253
% 187.27/138.38 | (385) addition(all_331_1_254, all_331_0_253) = all_0_0_0
% 187.27/138.38 |
% 187.27/138.38 | Instantiating (194) with all_342_0_268, all_342_1_269 yields:
% 187.27/138.38 | (386) multiplication(all_16_1_15, all_0_1_1) = all_342_1_269 & multiplication(one, all_0_1_1) = all_342_0_268 & addition(all_342_1_269, all_342_0_268) = all_45_1_31
% 187.27/138.38 |
% 187.27/138.38 | Applying alpha-rule on (386) yields:
% 187.27/138.38 | (387) multiplication(all_16_1_15, all_0_1_1) = all_342_1_269
% 187.27/138.38 | (388) multiplication(one, all_0_1_1) = all_342_0_268
% 187.27/138.38 | (389) addition(all_342_1_269, all_342_0_268) = all_45_1_31
% 187.27/138.38 |
% 187.27/138.38 | Instantiating (256) with all_344_0_270, all_344_1_271 yields:
% 187.27/138.38 | (390) multiplication(all_0_1_1, all_16_0_14) = all_344_0_270 & multiplication(all_0_1_1, all_0_1_1) = all_344_1_271 & addition(all_344_1_271, all_344_0_270) = all_0_0_0
% 187.27/138.38 |
% 187.27/138.38 | Applying alpha-rule on (390) yields:
% 187.27/138.38 | (391) multiplication(all_0_1_1, all_16_0_14) = all_344_0_270
% 187.27/138.38 | (392) multiplication(all_0_1_1, all_0_1_1) = all_344_1_271
% 187.27/138.38 | (393) addition(all_344_1_271, all_344_0_270) = all_0_0_0
% 187.27/138.38 |
% 187.27/138.38 | Instantiating (255) with all_348_0_273, all_348_1_274 yields:
% 187.27/138.38 | (394) multiplication(all_16_0_14, all_0_1_1) = all_348_0_273 & multiplication(all_0_1_1, all_0_1_1) = all_348_1_274 & addition(all_348_1_274, all_348_0_273) = all_0_0_0
% 187.27/138.38 |
% 187.27/138.38 | Applying alpha-rule on (394) yields:
% 187.27/138.38 | (395) multiplication(all_16_0_14, all_0_1_1) = all_348_0_273
% 187.27/138.38 | (396) multiplication(all_0_1_1, all_0_1_1) = all_348_1_274
% 187.27/138.38 | (397) addition(all_348_1_274, all_348_0_273) = all_0_0_0
% 187.27/138.38 |
% 187.27/138.38 | Instantiating (195) with all_350_0_275, all_350_1_276 yields:
% 187.27/138.38 | (398) multiplication(all_16_1_15, all_0_1_1) = all_350_0_275 & multiplication(one, all_0_1_1) = all_350_1_276 & addition(all_350_1_276, all_350_0_275) = all_45_1_31
% 187.27/138.38 |
% 187.27/138.38 | Applying alpha-rule on (398) yields:
% 187.27/138.38 | (399) multiplication(all_16_1_15, all_0_1_1) = all_350_0_275
% 187.27/138.38 | (400) multiplication(one, all_0_1_1) = all_350_1_276
% 187.27/138.38 | (401) addition(all_350_1_276, all_350_0_275) = all_45_1_31
% 187.27/138.38 |
% 187.27/138.38 | Instantiating (208) with all_366_0_290, all_366_1_291 yields:
% 187.27/138.38 | (402) multiplication(all_16_0_14, one) = all_366_1_291 & multiplication(all_0_1_1, one) = all_366_0_290 & addition(all_366_1_291, all_366_0_290) = all_0_1_1
% 187.27/138.38 |
% 187.27/138.38 | Applying alpha-rule on (402) yields:
% 187.27/138.38 | (403) multiplication(all_16_0_14, one) = all_366_1_291
% 187.27/138.38 | (404) multiplication(all_0_1_1, one) = all_366_0_290
% 187.27/138.38 | (405) addition(all_366_1_291, all_366_0_290) = all_0_1_1
% 187.27/138.38 |
% 187.27/138.38 | Instantiating (205) with all_374_0_295 yields:
% 187.27/138.38 | (406) multiplication(all_374_0_295, one) = all_66_1_53 & multiplication(all_18_0_16, all_0_1_1) = all_374_0_295
% 187.27/138.38 |
% 187.27/138.38 | Applying alpha-rule on (406) yields:
% 187.27/138.38 | (407) multiplication(all_374_0_295, one) = all_66_1_53
% 187.27/138.38 | (408) multiplication(all_18_0_16, all_0_1_1) = all_374_0_295
% 187.27/138.38 |
% 187.27/138.38 | Instantiating (207) with all_378_0_297, all_378_1_298 yields:
% 187.27/138.38 | (409) multiplication(all_18_0_16, one) = all_378_1_298 & multiplication(all_0_1_1, one) = all_378_0_297 & addition(all_378_1_298, all_378_0_297) = all_0_1_1
% 187.27/138.38 |
% 187.27/138.38 | Applying alpha-rule on (409) yields:
% 187.27/138.38 | (410) multiplication(all_18_0_16, one) = all_378_1_298
% 187.27/138.38 | (411) multiplication(all_0_1_1, one) = all_378_0_297
% 187.27/138.38 | (412) addition(all_378_1_298, all_378_0_297) = all_0_1_1
% 187.27/138.38 |
% 187.27/138.38 | Instantiating (196) with all_383_0_303, all_383_1_304 yields:
% 187.27/138.38 | (413) multiplication(all_18_0_16, all_18_0_16) = all_383_1_304 & multiplication(all_0_1_1, all_18_0_16) = all_383_0_303 & addition(all_383_1_304, all_383_0_303) = all_62_1_45
% 187.27/138.38 |
% 187.27/138.38 | Applying alpha-rule on (413) yields:
% 187.27/138.38 | (414) multiplication(all_18_0_16, all_18_0_16) = all_383_1_304
% 187.27/138.38 | (415) multiplication(all_0_1_1, all_18_0_16) = all_383_0_303
% 187.27/138.38 | (416) addition(all_383_1_304, all_383_0_303) = all_62_1_45
% 187.27/138.38 |
% 187.27/138.38 | Instantiating (209) with all_387_0_307 yields:
% 187.27/138.38 | (417) multiplication(all_0_1_1, all_0_1_1) = all_387_0_307 & multiplication(one, all_387_0_307) = all_0_0_0
% 187.27/138.38 |
% 187.27/138.38 | Applying alpha-rule on (417) yields:
% 187.27/138.38 | (418) multiplication(all_0_1_1, all_0_1_1) = all_387_0_307
% 187.27/138.38 | (419) multiplication(one, all_387_0_307) = all_0_0_0
% 187.27/138.38 |
% 187.27/138.38 | Instantiating (206) with all_391_0_310 yields:
% 187.27/138.38 | (420) multiplication(all_0_1_1, all_391_0_310) = all_0_1_1 & multiplication(one, one) = all_391_0_310
% 187.27/138.38 |
% 187.27/138.38 | Applying alpha-rule on (420) yields:
% 187.27/138.38 | (421) multiplication(all_0_1_1, all_391_0_310) = all_0_1_1
% 187.27/138.38 | (422) multiplication(one, one) = all_391_0_310
% 187.27/138.38 |
% 187.27/138.38 | Instantiating (223) with all_393_0_311, all_393_1_312 yields:
% 187.27/138.38 | (423) multiplication(all_38_0_23, all_0_1_1) = all_393_1_312 & multiplication(all_0_1_1, all_0_1_1) = all_393_0_311 & addition(all_393_1_312, all_393_0_311) = all_0_0_0
% 187.27/138.38 |
% 187.27/138.38 | Applying alpha-rule on (423) yields:
% 187.27/138.38 | (424) multiplication(all_38_0_23, all_0_1_1) = all_393_1_312
% 187.27/138.38 | (425) multiplication(all_0_1_1, all_0_1_1) = all_393_0_311
% 187.27/138.38 | (426) addition(all_393_1_312, all_393_0_311) = all_0_0_0
% 187.27/138.38 |
% 187.27/138.38 | Instantiating (249) with all_405_0_321, all_405_1_322 yields:
% 187.27/138.39 | (427) multiplication(all_0_1_1, all_18_0_16) = all_405_0_321 & multiplication(all_0_1_1, all_0_1_1) = all_405_1_322 & addition(all_405_1_322, all_405_0_321) = all_0_0_0
% 187.27/138.39 |
% 187.27/138.39 | Applying alpha-rule on (427) yields:
% 187.27/138.39 | (428) multiplication(all_0_1_1, all_18_0_16) = all_405_0_321
% 187.27/138.39 | (429) multiplication(all_0_1_1, all_0_1_1) = all_405_1_322
% 187.27/138.39 | (430) addition(all_405_1_322, all_405_0_321) = all_0_0_0
% 187.27/138.39 |
% 187.27/138.39 | Instantiating (193) with all_415_0_327, all_415_1_328 yields:
% 187.27/138.39 | (431) multiplication(all_16_0_14, all_16_0_14) = all_415_1_328 & multiplication(all_16_0_14, all_0_1_1) = all_415_0_327 & addition(all_415_1_328, all_415_0_327) = all_45_1_31
% 187.27/138.39 |
% 187.27/138.39 | Applying alpha-rule on (431) yields:
% 187.27/138.39 | (432) multiplication(all_16_0_14, all_16_0_14) = all_415_1_328
% 187.27/138.39 | (433) multiplication(all_16_0_14, all_0_1_1) = all_415_0_327
% 187.27/138.39 | (434) addition(all_415_1_328, all_415_0_327) = all_45_1_31
% 187.27/138.39 |
% 187.27/138.39 | Instantiating (222) with all_417_0_329, all_417_1_330 yields:
% 187.27/138.39 | (435) multiplication(one, all_47_0_32) = all_417_1_330 & multiplication(one, all_0_1_1) = all_417_0_329 & addition(all_417_1_330, all_417_0_329) = all_0_1_1
% 187.27/138.39 |
% 187.27/138.39 | Applying alpha-rule on (435) yields:
% 187.27/138.39 | (436) multiplication(one, all_47_0_32) = all_417_1_330
% 187.27/138.39 | (437) multiplication(one, all_0_1_1) = all_417_0_329
% 187.27/138.39 | (438) addition(all_417_1_330, all_417_0_329) = all_0_1_1
% 187.27/138.39 |
% 187.27/138.39 | Instantiating (239) with all_429_0_338, all_429_1_339 yields:
% 187.27/138.39 | (439) multiplication(all_16_0_14, all_0_1_1) = all_429_0_338 & multiplication(all_16_0_14, all_0_1_1) = all_429_1_339 & addition(all_429_1_339, all_429_0_338) = all_45_1_31
% 187.27/138.39 |
% 187.27/138.39 | Applying alpha-rule on (439) yields:
% 187.27/138.39 | (440) multiplication(all_16_0_14, all_0_1_1) = all_429_0_338
% 187.27/138.39 | (441) multiplication(all_16_0_14, all_0_1_1) = all_429_1_339
% 187.27/138.39 | (442) addition(all_429_1_339, all_429_0_338) = all_45_1_31
% 187.27/138.39 |
% 187.27/138.39 | Instantiating (240) with all_431_0_340, all_431_1_341 yields:
% 187.27/138.39 | (443) multiplication(all_0_1_1, all_16_0_14) = all_431_0_340 & multiplication(all_0_1_1, all_16_0_14) = all_431_1_341 & addition(all_431_1_341, all_431_0_340) = all_36_1_22
% 187.27/138.39 |
% 187.27/138.39 | Applying alpha-rule on (443) yields:
% 187.27/138.39 | (444) multiplication(all_0_1_1, all_16_0_14) = all_431_0_340
% 187.27/138.39 | (445) multiplication(all_0_1_1, all_16_0_14) = all_431_1_341
% 187.27/138.39 | (446) addition(all_431_1_341, all_431_0_340) = all_36_1_22
% 187.27/138.39 |
% 187.27/138.39 | Instantiating (202) with all_451_0_353, all_451_1_354 yields:
% 187.27/138.39 | (447) multiplication(all_0_1_1, all_16_1_15) = all_451_1_354 & multiplication(all_0_1_1, one) = all_451_0_353 & addition(all_451_1_354, all_451_0_353) = all_36_1_22
% 187.27/138.39 |
% 187.27/138.39 | Applying alpha-rule on (447) yields:
% 187.27/138.39 | (448) multiplication(all_0_1_1, all_16_1_15) = all_451_1_354
% 187.27/138.39 | (449) multiplication(all_0_1_1, one) = all_451_0_353
% 187.27/138.39 | (450) addition(all_451_1_354, all_451_0_353) = all_36_1_22
% 187.27/138.39 |
% 187.27/138.39 | Instantiating (201) with all_453_0_355, all_453_1_356 yields:
% 187.27/138.39 | (451) multiplication(all_16_0_14, all_16_0_14) = all_453_1_356 & multiplication(all_0_1_1, all_16_0_14) = all_453_0_355 & addition(all_453_1_356, all_453_0_355) = all_36_1_22
% 187.27/138.39 |
% 187.27/138.39 | Applying alpha-rule on (451) yields:
% 187.27/138.39 | (452) multiplication(all_16_0_14, all_16_0_14) = all_453_1_356
% 187.27/138.39 | (453) multiplication(all_0_1_1, all_16_0_14) = all_453_0_355
% 187.27/138.39 | (454) addition(all_453_1_356, all_453_0_355) = all_36_1_22
% 187.27/138.39 |
% 187.27/138.39 | Instantiating (192) with all_455_0_357, all_455_1_358 yields:
% 187.27/138.39 | (455) multiplication(all_16_0_14, all_18_0_16) = all_455_1_358 & multiplication(all_16_0_14, all_0_1_1) = all_455_0_357 & addition(all_455_1_358, all_455_0_357) = all_45_1_31
% 187.27/138.39 |
% 187.27/138.39 | Applying alpha-rule on (455) yields:
% 187.27/138.39 | (456) multiplication(all_16_0_14, all_18_0_16) = all_455_1_358
% 187.27/138.39 | (457) multiplication(all_16_0_14, all_0_1_1) = all_455_0_357
% 187.27/138.39 | (458) addition(all_455_1_358, all_455_0_357) = all_45_1_31
% 187.27/138.39 |
% 187.27/138.39 | Instantiating (191) with all_459_0_361, all_459_1_362 yields:
% 187.27/138.39 | (459) multiplication(all_18_1_17, all_0_1_1) = all_459_0_361 & multiplication(one, all_0_1_1) = all_459_1_362 & addition(all_459_1_362, all_459_0_361) = all_66_1_53
% 187.27/138.39 |
% 187.27/138.39 | Applying alpha-rule on (459) yields:
% 187.27/138.39 | (460) multiplication(all_18_1_17, all_0_1_1) = all_459_0_361
% 187.27/138.39 | (461) multiplication(one, all_0_1_1) = all_459_1_362
% 187.27/138.39 | (462) addition(all_459_1_362, all_459_0_361) = all_66_1_53
% 187.27/138.39 |
% 187.27/138.39 | Instantiating (266) with all_461_0_363, all_461_1_364 yields:
% 187.27/138.39 | (463) multiplication(all_40_0_24, all_0_1_1) = all_461_0_363 & multiplication(one, all_0_1_1) = all_461_1_364 & addition(all_461_1_364, all_461_0_363) = all_0_0_0
% 187.27/138.39 |
% 187.27/138.39 | Applying alpha-rule on (463) yields:
% 187.27/138.39 | (464) multiplication(all_40_0_24, all_0_1_1) = all_461_0_363
% 187.27/138.39 | (465) multiplication(one, all_0_1_1) = all_461_1_364
% 187.27/138.39 | (466) addition(all_461_1_364, all_461_0_363) = all_0_0_0
% 187.27/138.39 |
% 187.27/138.39 | Instantiating (262) with all_469_0_371, all_469_1_372 yields:
% 187.27/138.39 | (467) multiplication(all_58_0_41, all_0_1_1) = all_469_0_371 & multiplication(one, all_0_1_1) = all_469_1_372 & addition(all_469_1_372, all_469_0_371) = all_0_0_0
% 187.27/138.39 |
% 187.27/138.39 | Applying alpha-rule on (467) yields:
% 187.27/138.39 | (468) multiplication(all_58_0_41, all_0_1_1) = all_469_0_371
% 187.27/138.39 | (469) multiplication(one, all_0_1_1) = all_469_1_372
% 187.27/138.39 | (470) addition(all_469_1_372, all_469_0_371) = all_0_0_0
% 187.27/138.39 |
% 187.27/138.39 | Instantiating (263) with all_471_0_373, all_471_1_374 yields:
% 187.27/138.39 | (471) multiplication(all_0_1_1, all_58_0_41) = all_471_0_373 & multiplication(all_0_1_1, one) = all_471_1_374 & addition(all_471_1_374, all_471_0_373) = all_0_0_0
% 187.27/138.39 |
% 187.27/138.39 | Applying alpha-rule on (471) yields:
% 187.27/138.39 | (472) multiplication(all_0_1_1, all_58_0_41) = all_471_0_373
% 187.27/138.39 | (473) multiplication(all_0_1_1, one) = all_471_1_374
% 187.27/138.39 | (474) addition(all_471_1_374, all_471_0_373) = all_0_0_0
% 187.27/138.39 |
% 187.27/138.39 | Instantiating (200) with all_475_0_377, all_475_1_378 yields:
% 187.27/138.39 | (475) multiplication(all_18_0_16, all_16_0_14) = all_475_1_378 & multiplication(all_0_1_1, all_16_0_14) = all_475_0_377 & addition(all_475_1_378, all_475_0_377) = all_36_1_22
% 187.27/138.39 |
% 187.27/138.39 | Applying alpha-rule on (475) yields:
% 187.27/138.39 | (476) multiplication(all_18_0_16, all_16_0_14) = all_475_1_378
% 187.27/138.39 | (477) multiplication(all_0_1_1, all_16_0_14) = all_475_0_377
% 187.27/138.39 | (478) addition(all_475_1_378, all_475_0_377) = all_36_1_22
% 187.27/138.39 |
% 187.27/138.39 | Instantiating (199) with all_477_0_379, all_477_1_380 yields:
% 187.27/138.39 | (479) multiplication(all_0_1_1, all_18_1_17) = all_477_0_379 & multiplication(all_0_1_1, one) = all_477_1_380 & addition(all_477_1_380, all_477_0_379) = all_62_1_45
% 187.27/138.39 |
% 187.27/138.39 | Applying alpha-rule on (479) yields:
% 187.27/138.39 | (480) multiplication(all_0_1_1, all_18_1_17) = all_477_0_379
% 187.27/138.39 | (481) multiplication(all_0_1_1, one) = all_477_1_380
% 187.27/138.39 | (482) addition(all_477_1_380, all_477_0_379) = all_62_1_45
% 187.27/138.39 |
% 187.27/138.39 | Instantiating (271) with all_495_0_391 yields:
% 187.27/138.39 | (483) addition(all_495_0_391, all_40_0_24) = all_49_0_33 & addition(one, one) = all_495_0_391
% 187.27/138.39 |
% 187.27/138.39 | Applying alpha-rule on (483) yields:
% 187.27/138.39 | (484) addition(all_495_0_391, all_40_0_24) = all_49_0_33
% 187.27/138.39 | (485) addition(one, one) = all_495_0_391
% 187.27/138.39 |
% 187.27/138.39 | Instantiating (270) with all_497_0_392 yields:
% 187.27/138.39 | (486) addition(all_497_0_392, all_58_0_41) = all_49_0_33 & addition(one, one) = all_497_0_392
% 187.27/138.39 |
% 187.27/138.39 | Applying alpha-rule on (486) yields:
% 187.27/138.39 | (487) addition(all_497_0_392, all_58_0_41) = all_49_0_33
% 187.27/138.39 | (488) addition(one, one) = all_497_0_392
% 187.27/138.39 |
% 187.27/138.39 | Instantiating (253) with all_508_0_400, all_508_1_401 yields:
% 187.27/138.39 | (489) multiplication(all_18_0_16, one) = all_508_0_400 & multiplication(all_0_1_1, one) = all_508_1_401 & addition(all_508_1_401, all_508_0_400) = all_0_1_1
% 187.27/138.39 |
% 187.27/138.39 | Applying alpha-rule on (489) yields:
% 187.27/138.39 | (490) multiplication(all_18_0_16, one) = all_508_0_400
% 187.27/138.39 | (491) multiplication(all_0_1_1, one) = all_508_1_401
% 187.27/138.39 | (492) addition(all_508_1_401, all_508_0_400) = all_0_1_1
% 187.27/138.39 |
% 187.27/138.39 | Instantiating (251) with all_511_0_405, all_511_1_406 yields:
% 187.27/138.39 | (493) multiplication(all_18_0_16, all_18_0_16) = all_511_0_405 & multiplication(all_0_1_1, all_18_0_16) = all_511_1_406 & addition(all_511_1_406, all_511_0_405) = all_62_1_45
% 187.27/138.39 |
% 187.27/138.39 | Applying alpha-rule on (493) yields:
% 187.27/138.39 | (494) multiplication(all_18_0_16, all_18_0_16) = all_511_0_405
% 187.27/138.39 | (495) multiplication(all_0_1_1, all_18_0_16) = all_511_1_406
% 187.27/138.39 | (496) addition(all_511_1_406, all_511_0_405) = all_62_1_45
% 187.27/138.39 |
% 187.27/138.39 | Instantiating (250) with all_515_0_409, all_515_1_410 yields:
% 187.27/138.39 | (497) multiplication(all_18_0_16, all_18_0_16) = all_515_0_409 & multiplication(all_18_0_16, all_0_1_1) = all_515_1_410 & addition(all_515_1_410, all_515_0_409) = all_66_1_53
% 187.27/138.39 |
% 187.27/138.39 | Applying alpha-rule on (497) yields:
% 187.27/138.39 | (498) multiplication(all_18_0_16, all_18_0_16) = all_515_0_409
% 187.27/138.39 | (499) multiplication(all_18_0_16, all_0_1_1) = all_515_1_410
% 187.27/138.39 | (500) addition(all_515_1_410, all_515_0_409) = all_66_1_53
% 187.27/138.39 |
% 187.27/138.39 | Instantiating (269) with all_532_0_422, all_532_1_423 yields:
% 187.27/138.39 | (501) multiplication(one, all_40_0_24) = all_532_0_422 & multiplication(one, one) = all_532_1_423 & addition(all_532_1_423, all_532_0_422) = all_0_1_1
% 187.27/138.39 |
% 187.27/138.39 | Applying alpha-rule on (501) yields:
% 187.27/138.39 | (502) multiplication(one, all_40_0_24) = all_532_0_422
% 187.27/138.39 | (503) multiplication(one, one) = all_532_1_423
% 187.27/138.39 | (504) addition(all_532_1_423, all_532_0_422) = all_0_1_1
% 187.27/138.39 |
% 187.27/138.39 | Instantiating (268) with all_542_0_432, all_542_1_433 yields:
% 187.27/138.39 | (505) multiplication(all_40_0_24, one) = all_542_0_432 & multiplication(one, one) = all_542_1_433 & addition(all_542_1_433, all_542_0_432) = all_0_1_1
% 187.27/138.39 |
% 187.27/138.39 | Applying alpha-rule on (505) yields:
% 187.27/138.39 | (506) multiplication(all_40_0_24, one) = all_542_0_432
% 187.27/138.39 | (507) multiplication(one, one) = all_542_1_433
% 187.27/138.39 | (508) addition(all_542_1_433, all_542_0_432) = all_0_1_1
% 187.27/138.39 |
% 187.27/138.39 | Instantiating (254) with all_548_0_437, all_548_1_438 yields:
% 187.27/138.39 | (509) multiplication(one, all_18_0_16) = all_548_0_437 & multiplication(one, all_0_1_1) = all_548_1_438 & addition(all_548_1_438, all_548_0_437) = all_0_1_1
% 187.27/138.39 |
% 187.27/138.39 | Applying alpha-rule on (509) yields:
% 187.27/138.39 | (510) multiplication(one, all_18_0_16) = all_548_0_437
% 187.27/138.39 | (511) multiplication(one, all_0_1_1) = all_548_1_438
% 187.27/138.39 | (512) addition(all_548_1_438, all_548_0_437) = all_0_1_1
% 187.27/138.39 |
% 187.27/138.39 | Instantiating (252) with all_550_0_439, all_550_1_440 yields:
% 187.27/138.39 | (513) multiplication(all_18_0_16, all_16_0_14) = all_550_0_439 & multiplication(all_0_1_1, all_16_0_14) = all_550_1_440 & addition(all_550_1_440, all_550_0_439) = all_36_1_22
% 187.27/138.40 |
% 187.27/138.40 | Applying alpha-rule on (513) yields:
% 187.27/138.40 | (514) multiplication(all_18_0_16, all_16_0_14) = all_550_0_439
% 187.27/138.40 | (515) multiplication(all_0_1_1, all_16_0_14) = all_550_1_440
% 187.27/138.40 | (516) addition(all_550_1_440, all_550_0_439) = all_36_1_22
% 187.27/138.40 |
% 187.27/138.40 | Instantiating (215) with all_562_0_451, all_562_1_452 yields:
% 187.27/138.40 | (517) multiplication(all_47_0_32, all_0_1_1) = all_562_1_452 & multiplication(all_0_1_1, all_0_1_1) = all_562_0_451 & addition(all_562_1_452, all_562_0_451) = all_0_0_0
% 187.27/138.40 |
% 187.27/138.40 | Applying alpha-rule on (517) yields:
% 187.27/138.40 | (518) multiplication(all_47_0_32, all_0_1_1) = all_562_1_452
% 187.27/138.40 | (519) multiplication(all_0_1_1, all_0_1_1) = all_562_0_451
% 187.27/138.40 | (520) addition(all_562_1_452, all_562_0_451) = all_0_0_0
% 187.27/138.40 |
% 187.27/138.40 | Instantiating (243) with all_564_0_453, all_564_1_454, all_564_2_455 yields:
% 187.27/138.40 | (521) (all_564_0_453 = 0 & star(all_0_2_2) = all_564_2_455 & leq(all_564_1_454, all_0_1_1) = 0 & multiplication(all_564_2_455, all_49_0_33) = all_564_1_454) | ( ~ (all_564_2_455 = 0) & leq(all_0_1_1, all_0_1_1) = all_564_2_455)
% 187.27/138.40 |
% 187.27/138.40 | Instantiating (242) with all_567_0_458, all_567_1_459 yields:
% 187.27/138.40 | (522) multiplication(all_0_1_1, all_49_0_33) = all_567_0_458 & multiplication(all_0_1_1, all_16_1_15) = all_567_1_459 & addition(all_567_1_459, all_567_0_458) = all_0_0_0
% 187.27/138.40 |
% 187.27/138.40 | Applying alpha-rule on (522) yields:
% 187.27/138.40 | (523) multiplication(all_0_1_1, all_49_0_33) = all_567_0_458
% 187.27/138.40 | (524) multiplication(all_0_1_1, all_16_1_15) = all_567_1_459
% 187.27/138.40 | (525) addition(all_567_1_459, all_567_0_458) = all_0_0_0
% 187.27/138.40 |
% 187.27/138.40 | Instantiating (260) with all_579_0_470, all_579_1_471 yields:
% 187.27/138.40 | (526) multiplication(all_16_0_14, all_16_0_14) = all_579_0_470 & multiplication(all_0_1_1, all_16_0_14) = all_579_1_471 & addition(all_579_1_471, all_579_0_470) = all_36_1_22
% 187.27/138.40 |
% 187.27/138.40 | Applying alpha-rule on (526) yields:
% 187.27/138.40 | (527) multiplication(all_16_0_14, all_16_0_14) = all_579_0_470
% 187.27/138.40 | (528) multiplication(all_0_1_1, all_16_0_14) = all_579_1_471
% 187.27/138.40 | (529) addition(all_579_1_471, all_579_0_470) = all_36_1_22
% 187.27/138.40 |
% 187.27/138.40 | Instantiating (259) with all_581_0_472, all_581_1_473 yields:
% 187.27/138.40 | (530) multiplication(all_16_0_14, all_18_0_16) = all_581_0_472 & multiplication(all_0_1_1, all_18_0_16) = all_581_1_473 & addition(all_581_1_473, all_581_0_472) = all_62_1_45
% 187.27/138.40 |
% 187.27/138.40 | Applying alpha-rule on (530) yields:
% 187.27/138.40 | (531) multiplication(all_16_0_14, all_18_0_16) = all_581_0_472
% 187.27/138.40 | (532) multiplication(all_0_1_1, all_18_0_16) = all_581_1_473
% 187.27/138.40 | (533) addition(all_581_1_473, all_581_0_472) = all_62_1_45
% 187.27/138.40 |
% 187.27/138.40 | Instantiating (188) with all_591_0_478, all_591_1_479 yields:
% 187.27/138.40 | (534) multiplication(all_18_0_16, all_18_0_16) = all_591_1_479 & multiplication(all_18_0_16, all_0_1_1) = all_591_0_478 & addition(all_591_1_479, all_591_0_478) = all_66_1_53
% 187.27/138.40 |
% 187.27/138.40 | Applying alpha-rule on (534) yields:
% 187.27/138.40 | (535) multiplication(all_18_0_16, all_18_0_16) = all_591_1_479
% 187.27/138.40 | (536) multiplication(all_18_0_16, all_0_1_1) = all_591_0_478
% 187.27/138.40 | (537) addition(all_591_1_479, all_591_0_478) = all_66_1_53
% 187.27/138.40 |
% 187.27/138.40 | Instantiating (190) with all_597_0_482, all_597_1_483 yields:
% 187.27/138.40 | (538) multiplication(all_18_0_16, all_16_0_14) = all_597_1_483 & multiplication(all_18_0_16, all_0_1_1) = all_597_0_482 & addition(all_597_1_483, all_597_0_482) = all_66_1_53
% 187.27/138.40 |
% 187.27/138.40 | Applying alpha-rule on (538) yields:
% 187.27/138.40 | (539) multiplication(all_18_0_16, all_16_0_14) = all_597_1_483
% 187.27/138.40 | (540) multiplication(all_18_0_16, all_0_1_1) = all_597_0_482
% 187.27/138.40 | (541) addition(all_597_1_483, all_597_0_482) = all_66_1_53
% 187.27/138.40 |
% 187.27/138.40 | Instantiating (189) with all_599_0_484, all_599_1_485 yields:
% 187.27/138.40 | (542) multiplication(all_18_1_17, all_0_1_1) = all_599_1_485 & multiplication(one, all_0_1_1) = all_599_0_484 & addition(all_599_1_485, all_599_0_484) = all_66_1_53
% 187.27/138.40 |
% 187.27/138.40 | Applying alpha-rule on (542) yields:
% 187.27/138.40 | (543) multiplication(all_18_1_17, all_0_1_1) = all_599_1_485
% 187.27/138.40 | (544) multiplication(one, all_0_1_1) = all_599_0_484
% 187.27/138.40 | (545) addition(all_599_1_485, all_599_0_484) = all_66_1_53
% 187.27/138.40 |
% 187.27/138.40 | Instantiating (248) with all_614_0_495, all_614_1_496 yields:
% 187.27/138.40 | (546) multiplication(all_18_0_16, all_0_1_1) = all_614_0_495 & multiplication(all_0_1_1, all_0_1_1) = all_614_1_496 & addition(all_614_1_496, all_614_0_495) = all_0_0_0
% 187.27/138.40 |
% 187.27/138.40 | Applying alpha-rule on (546) yields:
% 187.27/138.40 | (547) multiplication(all_18_0_16, all_0_1_1) = all_614_0_495
% 187.27/138.40 | (548) multiplication(all_0_1_1, all_0_1_1) = all_614_1_496
% 187.27/138.40 | (549) addition(all_614_1_496, all_614_0_495) = all_0_0_0
% 187.27/138.40 |
% 187.27/138.40 | Instantiating (245) with all_616_0_497 yields:
% 187.27/138.40 | (550) addition(all_42_1_26, all_616_0_497) = all_0_1_1 & addition(all_16_1_15, all_49_0_33) = all_616_0_497
% 187.27/138.40 |
% 187.27/138.40 | Applying alpha-rule on (550) yields:
% 187.27/138.40 | (551) addition(all_42_1_26, all_616_0_497) = all_0_1_1
% 187.27/138.40 | (552) addition(all_16_1_15, all_49_0_33) = all_616_0_497
% 187.27/138.40 |
% 187.27/138.40 | Instantiating (244) with all_620_0_499 yields:
% 187.27/138.40 | (553) addition(all_56_1_40, all_620_0_499) = all_0_1_1 & addition(all_16_1_15, all_49_0_33) = all_620_0_499
% 187.27/138.40 |
% 187.27/138.40 | Applying alpha-rule on (553) yields:
% 187.27/138.40 | (554) addition(all_56_1_40, all_620_0_499) = all_0_1_1
% 187.27/138.40 | (555) addition(all_16_1_15, all_49_0_33) = all_620_0_499
% 187.27/138.40 |
% 187.27/138.40 | Instantiating (246) with all_622_0_500, all_622_1_501, all_622_2_502 yields:
% 187.27/138.40 | (556) (all_622_0_500 = 0 & star(all_0_2_2) = all_622_2_502 & leq(all_622_1_501, all_0_1_1) = 0 & multiplication(all_622_2_502, all_0_1_1) = all_622_1_501) | ( ~ (all_622_2_502 = 0) & leq(all_40_0_24, all_0_1_1) = all_622_2_502)
% 187.27/138.40 |
% 187.27/138.40 | Instantiating (213) with all_623_0_503, all_623_1_504 yields:
% 187.27/138.40 | (557) multiplication(one, all_18_0_16) = all_623_1_504 & multiplication(one, all_0_1_1) = all_623_0_503 & addition(all_623_1_504, all_623_0_503) = all_0_1_1
% 187.27/138.40 |
% 187.27/138.40 | Applying alpha-rule on (557) yields:
% 187.27/138.40 | (558) multiplication(one, all_18_0_16) = all_623_1_504
% 187.27/138.40 | (559) multiplication(one, all_0_1_1) = all_623_0_503
% 187.27/138.40 | (560) addition(all_623_1_504, all_623_0_503) = all_0_1_1
% 187.27/138.40 |
% 187.27/138.40 | Instantiating (211) with all_625_0_505 yields:
% 187.27/138.40 | (561) multiplication(all_0_1_1, all_16_0_14) = all_625_0_505 & multiplication(one, all_625_0_505) = all_36_1_22
% 187.27/138.40 |
% 187.27/138.40 | Applying alpha-rule on (561) yields:
% 187.27/138.40 | (562) multiplication(all_0_1_1, all_16_0_14) = all_625_0_505
% 187.27/138.40 | (563) multiplication(one, all_625_0_505) = all_36_1_22
% 187.27/138.40 |
% 187.27/138.40 | Instantiating (212) with all_627_0_506 yields:
% 187.27/138.40 | (564) multiplication(all_627_0_506, all_0_1_1) = all_0_1_1 & multiplication(one, one) = all_627_0_506
% 187.27/138.40 |
% 187.27/138.40 | Applying alpha-rule on (564) yields:
% 187.27/138.40 | (565) multiplication(all_627_0_506, all_0_1_1) = all_0_1_1
% 187.27/138.40 | (566) multiplication(one, one) = all_627_0_506
% 187.27/138.40 |
% 187.27/138.40 | Instantiating (247) with all_631_0_508 yields:
% 187.27/138.40 | (567) addition(all_631_0_508, all_49_0_33) = all_40_0_24 & addition(all_16_1_15, all_16_1_15) = all_631_0_508
% 187.27/138.40 |
% 187.27/138.40 | Applying alpha-rule on (567) yields:
% 187.27/138.40 | (568) addition(all_631_0_508, all_49_0_33) = all_40_0_24
% 187.27/138.40 | (569) addition(all_16_1_15, all_16_1_15) = all_631_0_508
% 187.27/138.40 |
% 187.27/138.40 | Instantiating (210) with all_633_0_509 yields:
% 187.27/138.40 | (570) multiplication(all_0_1_1, all_18_0_16) = all_633_0_509 & multiplication(one, all_633_0_509) = all_62_1_45
% 187.27/138.40 |
% 187.27/138.40 | Applying alpha-rule on (570) yields:
% 187.27/138.40 | (571) multiplication(all_0_1_1, all_18_0_16) = all_633_0_509
% 187.27/138.40 | (572) multiplication(one, all_633_0_509) = all_62_1_45
% 187.27/138.40 |
% 187.27/138.40 | Instantiating (241) with all_638_0_519, all_638_1_520 yields:
% 187.27/138.40 | (573) multiplication(all_49_0_33, all_0_1_1) = all_638_0_519 & multiplication(all_16_1_15, all_0_1_1) = all_638_1_520 & addition(all_638_1_520, all_638_0_519) = all_0_0_0
% 187.27/138.40 |
% 187.27/138.40 | Applying alpha-rule on (573) yields:
% 187.27/138.40 | (574) multiplication(all_49_0_33, all_0_1_1) = all_638_0_519
% 187.27/138.40 | (575) multiplication(all_16_1_15, all_0_1_1) = all_638_1_520
% 187.27/138.40 | (576) addition(all_638_1_520, all_638_0_519) = all_0_0_0
% 187.27/138.40 |
% 187.27/138.40 | Instantiating (214) with all_644_0_528, all_644_1_529 yields:
% 187.27/138.40 | (577) multiplication(one, all_16_0_14) = all_644_1_529 & multiplication(one, all_0_1_1) = all_644_0_528 & addition(all_644_1_529, all_644_0_528) = all_0_1_1
% 187.27/138.40 |
% 187.27/138.40 | Applying alpha-rule on (577) yields:
% 187.27/138.40 | (578) multiplication(one, all_16_0_14) = all_644_1_529
% 187.27/138.40 | (579) multiplication(one, all_0_1_1) = all_644_0_528
% 187.27/138.40 | (580) addition(all_644_1_529, all_644_0_528) = all_0_1_1
% 187.27/138.40 |
% 187.27/138.40 +-Applying beta-rule and splitting (272), into two cases.
% 187.27/138.40 |-Branch one:
% 187.27/138.40 | (581) all_100_0_66 = 0 & star(all_0_2_2) = all_100_2_68 & leq(all_100_1_67, all_0_1_1) = 0 & multiplication(all_49_0_33, all_100_2_68) = all_100_1_67
% 187.27/138.40 |
% 187.27/138.40 | Applying alpha-rule on (581) yields:
% 187.27/138.40 | (582) all_100_0_66 = 0
% 187.27/138.40 | (583) star(all_0_2_2) = all_100_2_68
% 187.27/138.40 | (584) leq(all_100_1_67, all_0_1_1) = 0
% 187.27/138.40 | (585) multiplication(all_49_0_33, all_100_2_68) = all_100_1_67
% 187.27/138.40 |
% 187.27/138.40 +-Applying beta-rule and splitting (521), into two cases.
% 187.27/138.40 |-Branch one:
% 187.27/138.40 | (586) all_564_0_453 = 0 & star(all_0_2_2) = all_564_2_455 & leq(all_564_1_454, all_0_1_1) = 0 & multiplication(all_564_2_455, all_49_0_33) = all_564_1_454
% 187.27/138.40 |
% 187.27/138.40 | Applying alpha-rule on (586) yields:
% 187.27/138.40 | (587) all_564_0_453 = 0
% 187.27/138.40 | (588) star(all_0_2_2) = all_564_2_455
% 187.27/138.40 | (589) leq(all_564_1_454, all_0_1_1) = 0
% 187.27/138.40 | (590) multiplication(all_564_2_455, all_49_0_33) = all_564_1_454
% 187.27/138.40 |
% 187.27/138.40 | Instantiating formula (20) with all_0_2_2, all_564_2_455, all_0_1_1 and discharging atoms star(all_0_2_2) = all_564_2_455, star(all_0_2_2) = all_0_1_1, yields:
% 187.27/138.40 | (591) all_564_2_455 = all_0_1_1
% 187.27/138.40 |
% 187.27/138.40 | Instantiating formula (20) with all_0_2_2, all_100_2_68, all_564_2_455 and discharging atoms star(all_0_2_2) = all_564_2_455, star(all_0_2_2) = all_100_2_68, yields:
% 187.27/138.40 | (592) all_564_2_455 = all_100_2_68
% 187.27/138.40 |
% 187.27/138.41 | Instantiating formula (34) with all_18_0_16, all_0_1_1, all_597_0_482, all_614_0_495 and discharging atoms multiplication(all_18_0_16, all_0_1_1) = all_614_0_495, multiplication(all_18_0_16, all_0_1_1) = all_597_0_482, yields:
% 187.27/138.41 | (593) all_614_0_495 = all_597_0_482
% 187.27/138.41 |
% 187.27/138.41 | Instantiating formula (34) with all_18_0_16, all_0_1_1, all_591_0_478, all_597_0_482 and discharging atoms multiplication(all_18_0_16, all_0_1_1) = all_597_0_482, multiplication(all_18_0_16, all_0_1_1) = all_591_0_478, yields:
% 187.27/138.41 | (594) all_597_0_482 = all_591_0_478
% 187.27/138.41 |
% 187.27/138.41 | Instantiating formula (34) with all_18_0_16, all_0_1_1, all_515_1_410, all_591_0_478 and discharging atoms multiplication(all_18_0_16, all_0_1_1) = all_591_0_478, multiplication(all_18_0_16, all_0_1_1) = all_515_1_410, yields:
% 187.27/138.41 | (595) all_591_0_478 = all_515_1_410
% 187.27/138.41 |
% 187.27/138.41 | Instantiating formula (34) with all_18_0_16, all_0_1_1, all_374_0_295, all_614_0_495 and discharging atoms multiplication(all_18_0_16, all_0_1_1) = all_614_0_495, multiplication(all_18_0_16, all_0_1_1) = all_374_0_295, yields:
% 187.27/138.41 | (596) all_614_0_495 = all_374_0_295
% 187.27/138.41 |
% 187.27/138.41 | Instantiating formula (34) with all_18_0_16, all_0_1_1, all_317_0_240, all_597_0_482 and discharging atoms multiplication(all_18_0_16, all_0_1_1) = all_597_0_482, multiplication(all_18_0_16, all_0_1_1) = all_317_0_240, yields:
% 187.27/138.41 | (597) all_597_0_482 = all_317_0_240
% 187.27/138.41 |
% 187.27/138.41 | Instantiating formula (34) with all_18_0_16, all_0_1_1, all_281_1_214, all_591_0_478 and discharging atoms multiplication(all_18_0_16, all_0_1_1) = all_591_0_478, multiplication(all_18_0_16, all_0_1_1) = all_281_1_214, yields:
% 187.27/138.41 | (598) all_591_0_478 = all_281_1_214
% 187.27/138.41 |
% 187.27/138.41 | Instantiating formula (34) with all_18_0_16, all_0_1_1, all_265_0_202, all_66_1_53 and discharging atoms multiplication(all_18_0_16, all_0_1_1) = all_265_0_202, multiplication(all_18_0_16, all_0_1_1) = all_66_1_53, yields:
% 187.27/138.41 | (599) all_265_0_202 = all_66_1_53
% 187.27/138.41 |
% 187.27/138.41 | Instantiating formula (34) with all_18_0_16, all_0_1_1, all_167_0_124, all_597_0_482 and discharging atoms multiplication(all_18_0_16, all_0_1_1) = all_597_0_482, multiplication(all_18_0_16, all_0_1_1) = all_167_0_124, yields:
% 187.27/138.41 | (600) all_597_0_482 = all_167_0_124
% 187.27/138.41 |
% 187.27/138.41 | Instantiating formula (34) with all_18_0_16, all_0_1_1, all_167_0_124, all_265_0_202 and discharging atoms multiplication(all_18_0_16, all_0_1_1) = all_265_0_202, multiplication(all_18_0_16, all_0_1_1) = all_167_0_124, yields:
% 187.27/138.41 | (601) all_265_0_202 = all_167_0_124
% 187.27/138.41 |
% 187.27/138.41 | Instantiating formula (34) with all_18_0_16, all_0_1_1, all_167_1_125, all_317_0_240 and discharging atoms multiplication(all_18_0_16, all_0_1_1) = all_317_0_240, multiplication(all_18_0_16, all_0_1_1) = all_167_1_125, yields:
% 187.27/138.41 | (602) all_317_0_240 = all_167_1_125
% 187.27/138.41 |
% 187.27/138.41 | Instantiating formula (34) with all_18_1_17, all_0_1_1, all_459_0_361, all_599_1_485 and discharging atoms multiplication(all_18_1_17, all_0_1_1) = all_599_1_485, multiplication(all_18_1_17, all_0_1_1) = all_459_0_361, yields:
% 187.27/138.41 | (603) all_599_1_485 = all_459_0_361
% 187.27/138.41 |
% 187.27/138.41 | Instantiating formula (34) with all_18_1_17, all_0_1_1, all_129_1_97, all_599_1_485 and discharging atoms multiplication(all_18_1_17, all_0_1_1) = all_599_1_485, multiplication(all_18_1_17, all_0_1_1) = all_129_1_97, yields:
% 187.27/138.41 | (604) all_599_1_485 = all_129_1_97
% 187.27/138.41 |
% 187.27/138.41 | Instantiating formula (34) with all_16_0_14, all_0_1_1, all_429_1_339, all_429_0_338 and discharging atoms multiplication(all_16_0_14, all_0_1_1) = all_429_0_338, multiplication(all_16_0_14, all_0_1_1) = all_429_1_339, yields:
% 187.27/138.41 | (605) all_429_0_338 = all_429_1_339
% 187.27/138.41 |
% 187.27/138.41 | Instantiating formula (34) with all_16_0_14, all_0_1_1, all_415_0_327, all_45_1_31 and discharging atoms multiplication(all_16_0_14, all_0_1_1) = all_415_0_327, multiplication(all_16_0_14, all_0_1_1) = all_45_1_31, yields:
% 187.27/138.41 | (606) all_415_0_327 = all_45_1_31
% 187.27/138.41 |
% 187.27/138.41 | Instantiating formula (34) with all_16_0_14, all_0_1_1, all_415_0_327, all_429_1_339 and discharging atoms multiplication(all_16_0_14, all_0_1_1) = all_429_1_339, multiplication(all_16_0_14, all_0_1_1) = all_415_0_327, yields:
% 187.27/138.41 | (607) all_429_1_339 = all_415_0_327
% 187.27/138.41 |
% 187.27/138.41 | Instantiating formula (34) with all_16_0_14, all_0_1_1, all_348_0_273, all_455_0_357 and discharging atoms multiplication(all_16_0_14, all_0_1_1) = all_455_0_357, multiplication(all_16_0_14, all_0_1_1) = all_348_0_273, yields:
% 187.27/138.41 | (608) all_455_0_357 = all_348_0_273
% 187.27/138.41 |
% 187.27/138.41 | Instantiating formula (34) with all_16_0_14, all_0_1_1, all_348_0_273, all_415_0_327 and discharging atoms multiplication(all_16_0_14, all_0_1_1) = all_415_0_327, multiplication(all_16_0_14, all_0_1_1) = all_348_0_273, yields:
% 187.27/138.41 | (609) all_415_0_327 = all_348_0_273
% 187.27/138.41 |
% 187.27/138.41 | Instantiating formula (34) with all_16_0_14, all_0_1_1, all_311_0_235, all_429_0_338 and discharging atoms multiplication(all_16_0_14, all_0_1_1) = all_429_0_338, multiplication(all_16_0_14, all_0_1_1) = all_311_0_235, yields:
% 187.27/138.41 | (610) all_429_0_338 = all_311_0_235
% 187.27/138.41 |
% 187.27/138.41 | Instantiating formula (34) with all_16_0_14, all_0_1_1, all_279_1_212, all_455_0_357 and discharging atoms multiplication(all_16_0_14, all_0_1_1) = all_455_0_357, multiplication(all_16_0_14, all_0_1_1) = all_279_1_212, yields:
% 187.27/138.41 | (611) all_455_0_357 = all_279_1_212
% 187.27/138.41 |
% 187.27/138.41 | Instantiating formula (34) with all_16_1_15, all_0_1_1, all_350_0_275, all_638_1_520 and discharging atoms multiplication(all_16_1_15, all_0_1_1) = all_638_1_520, multiplication(all_16_1_15, all_0_1_1) = all_350_0_275, yields:
% 187.27/138.41 | (612) all_638_1_520 = all_350_0_275
% 187.27/138.41 |
% 187.27/138.41 | Instantiating formula (34) with all_16_1_15, all_0_1_1, all_342_1_269, all_638_1_520 and discharging atoms multiplication(all_16_1_15, all_0_1_1) = all_638_1_520, multiplication(all_16_1_15, all_0_1_1) = all_342_1_269, yields:
% 187.27/138.41 | (613) all_638_1_520 = all_342_1_269
% 187.27/138.41 |
% 187.27/138.41 | Instantiating formula (34) with all_0_1_1, all_49_0_33, all_101_0_69, all_567_0_458 and discharging atoms multiplication(all_0_1_1, all_49_0_33) = all_567_0_458, multiplication(all_0_1_1, all_49_0_33) = all_101_0_69, yields:
% 187.27/138.41 | (614) all_567_0_458 = all_101_0_69
% 187.27/138.41 |
% 187.27/138.41 | Instantiating formula (34) with all_0_1_1, all_18_0_16, all_581_1_473, all_633_0_509 and discharging atoms multiplication(all_0_1_1, all_18_0_16) = all_633_0_509, multiplication(all_0_1_1, all_18_0_16) = all_581_1_473, yields:
% 187.27/138.41 | (615) all_633_0_509 = all_581_1_473
% 187.27/138.41 |
% 187.27/138.41 | Instantiating formula (34) with all_0_1_1, all_18_0_16, all_511_1_406, all_62_1_45 and discharging atoms multiplication(all_0_1_1, all_18_0_16) = all_511_1_406, multiplication(all_0_1_1, all_18_0_16) = all_62_1_45, yields:
% 187.27/138.41 | (616) all_511_1_406 = all_62_1_45
% 187.27/138.41 |
% 187.27/138.41 | Instantiating formula (34) with all_0_1_1, all_18_0_16, all_383_0_303, all_405_0_321 and discharging atoms multiplication(all_0_1_1, all_18_0_16) = all_405_0_321, multiplication(all_0_1_1, all_18_0_16) = all_383_0_303, yields:
% 187.27/138.41 | (617) all_405_0_321 = all_383_0_303
% 187.27/138.41 |
% 187.27/138.41 | Instantiating formula (34) with all_0_1_1, all_18_0_16, all_323_0_246, all_581_1_473 and discharging atoms multiplication(all_0_1_1, all_18_0_16) = all_581_1_473, multiplication(all_0_1_1, all_18_0_16) = all_323_0_246, yields:
% 187.27/138.41 | (618) all_581_1_473 = all_323_0_246
% 187.27/138.41 |
% 187.27/138.41 | Instantiating formula (34) with all_0_1_1, all_18_0_16, all_323_0_246, all_511_1_406 and discharging atoms multiplication(all_0_1_1, all_18_0_16) = all_511_1_406, multiplication(all_0_1_1, all_18_0_16) = all_323_0_246, yields:
% 187.27/138.41 | (619) all_511_1_406 = all_323_0_246
% 187.27/138.41 |
% 187.27/138.41 | Instantiating formula (34) with all_0_1_1, all_18_0_16, all_323_0_246, all_383_0_303 and discharging atoms multiplication(all_0_1_1, all_18_0_16) = all_383_0_303, multiplication(all_0_1_1, all_18_0_16) = all_323_0_246, yields:
% 187.27/138.41 | (620) all_383_0_303 = all_323_0_246
% 187.27/138.41 |
% 187.27/138.41 | Instantiating formula (34) with all_0_1_1, all_18_0_16, all_309_0_233, all_383_0_303 and discharging atoms multiplication(all_0_1_1, all_18_0_16) = all_383_0_303, multiplication(all_0_1_1, all_18_0_16) = all_309_0_233, yields:
% 187.27/138.41 | (621) all_383_0_303 = all_309_0_233
% 187.27/138.41 |
% 187.27/138.41 | Instantiating formula (34) with all_0_1_1, all_18_0_16, all_213_0_162, all_633_0_509 and discharging atoms multiplication(all_0_1_1, all_18_0_16) = all_633_0_509, multiplication(all_0_1_1, all_18_0_16) = all_213_0_162, yields:
% 187.27/138.41 | (622) all_633_0_509 = all_213_0_162
% 187.27/138.41 |
% 187.27/138.41 | Instantiating formula (34) with all_0_1_1, all_18_0_16, all_196_0_148, all_511_1_406 and discharging atoms multiplication(all_0_1_1, all_18_0_16) = all_511_1_406, multiplication(all_0_1_1, all_18_0_16) = all_196_0_148, yields:
% 187.27/138.41 | (623) all_511_1_406 = all_196_0_148
% 187.27/138.41 |
% 187.27/138.41 | Instantiating formula (34) with all_0_1_1, all_18_0_16, all_196_1_149, all_405_0_321 and discharging atoms multiplication(all_0_1_1, all_18_0_16) = all_405_0_321, multiplication(all_0_1_1, all_18_0_16) = all_196_1_149, yields:
% 187.27/138.41 | (624) all_405_0_321 = all_196_1_149
% 187.27/138.41 |
% 187.27/138.41 | Instantiating formula (34) with all_0_1_1, all_18_1_17, all_101_1_70, all_477_0_379 and discharging atoms multiplication(all_0_1_1, all_18_1_17) = all_477_0_379, multiplication(all_0_1_1, all_18_1_17) = all_101_1_70, yields:
% 187.74/138.41 | (625) all_477_0_379 = all_101_1_70
% 187.74/138.41 |
% 187.74/138.41 | Instantiating formula (34) with all_0_1_1, all_16_0_14, all_475_0_377, all_550_1_440 and discharging atoms multiplication(all_0_1_1, all_16_0_14) = all_550_1_440, multiplication(all_0_1_1, all_16_0_14) = all_475_0_377, yields:
% 187.74/138.41 | (626) all_550_1_440 = all_475_0_377
% 187.74/138.41 |
% 187.74/138.41 | Instantiating formula (34) with all_0_1_1, all_16_0_14, all_453_0_355, all_475_0_377 and discharging atoms multiplication(all_0_1_1, all_16_0_14) = all_475_0_377, multiplication(all_0_1_1, all_16_0_14) = all_453_0_355, yields:
% 187.74/138.41 | (627) all_475_0_377 = all_453_0_355
% 187.74/138.41 |
% 187.74/138.41 | Instantiating formula (34) with all_0_1_1, all_16_0_14, all_431_0_340, all_625_0_505 and discharging atoms multiplication(all_0_1_1, all_16_0_14) = all_625_0_505, multiplication(all_0_1_1, all_16_0_14) = all_431_0_340, yields:
% 187.74/138.41 | (628) all_625_0_505 = all_431_0_340
% 187.74/138.41 |
% 187.74/138.41 | Instantiating formula (34) with all_0_1_1, all_16_0_14, all_431_0_340, all_453_0_355 and discharging atoms multiplication(all_0_1_1, all_16_0_14) = all_453_0_355, multiplication(all_0_1_1, all_16_0_14) = all_431_0_340, yields:
% 187.74/138.41 | (629) all_453_0_355 = all_431_0_340
% 187.74/138.41 |
% 187.74/138.41 | Instantiating formula (34) with all_0_1_1, all_16_0_14, all_431_1_341, all_625_0_505 and discharging atoms multiplication(all_0_1_1, all_16_0_14) = all_625_0_505, multiplication(all_0_1_1, all_16_0_14) = all_431_1_341, yields:
% 187.74/138.41 | (630) all_625_0_505 = all_431_1_341
% 187.74/138.41 |
% 187.74/138.41 | Instantiating formula (34) with all_0_1_1, all_16_0_14, all_344_0_270, all_36_1_22 and discharging atoms multiplication(all_0_1_1, all_16_0_14) = all_344_0_270, multiplication(all_0_1_1, all_16_0_14) = all_36_1_22, yields:
% 187.74/138.41 | (631) all_344_0_270 = all_36_1_22
% 187.74/138.41 |
% 187.74/138.41 | Instantiating formula (34) with all_0_1_1, all_16_0_14, all_344_0_270, all_625_0_505 and discharging atoms multiplication(all_0_1_1, all_16_0_14) = all_625_0_505, multiplication(all_0_1_1, all_16_0_14) = all_344_0_270, yields:
% 187.74/138.41 | (632) all_625_0_505 = all_344_0_270
% 187.74/138.41 |
% 187.74/138.41 | Instantiating formula (34) with all_0_1_1, all_16_0_14, all_344_0_270, all_579_1_471 and discharging atoms multiplication(all_0_1_1, all_16_0_14) = all_579_1_471, multiplication(all_0_1_1, all_16_0_14) = all_344_0_270, yields:
% 187.74/138.41 | (633) all_579_1_471 = all_344_0_270
% 187.74/138.41 |
% 187.74/138.41 | Instantiating formula (34) with all_0_1_1, all_16_0_14, all_315_0_238, all_550_1_440 and discharging atoms multiplication(all_0_1_1, all_16_0_14) = all_550_1_440, multiplication(all_0_1_1, all_16_0_14) = all_315_0_238, yields:
% 187.74/138.41 | (634) all_550_1_440 = all_315_0_238
% 187.74/138.41 |
% 187.74/138.41 | Instantiating formula (34) with all_0_1_1, all_16_0_14, all_303_0_228, all_579_1_471 and discharging atoms multiplication(all_0_1_1, all_16_0_14) = all_579_1_471, multiplication(all_0_1_1, all_16_0_14) = all_303_0_228, yields:
% 187.74/138.41 | (635) all_579_1_471 = all_303_0_228
% 187.74/138.41 |
% 187.74/138.41 | Instantiating formula (34) with all_0_1_1, all_0_1_1, all_614_1_496, all_0_0_0 and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_614_1_496, multiplication(all_0_1_1, all_0_1_1) = all_0_0_0, yields:
% 187.74/138.41 | (636) all_614_1_496 = all_0_0_0
% 187.74/138.41 |
% 187.74/138.41 | Instantiating formula (34) with all_0_1_1, all_0_1_1, all_562_0_451, all_614_1_496 and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_614_1_496, multiplication(all_0_1_1, all_0_1_1) = all_562_0_451, yields:
% 187.74/138.41 | (637) all_614_1_496 = all_562_0_451
% 187.74/138.41 |
% 187.74/138.41 | Instantiating formula (34) with all_0_1_1, all_0_1_1, all_393_0_311, all_405_1_322 and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_405_1_322, multiplication(all_0_1_1, all_0_1_1) = all_393_0_311, yields:
% 187.74/138.41 | (638) all_405_1_322 = all_393_0_311
% 187.74/138.41 |
% 187.74/138.41 | Instantiating formula (34) with all_0_1_1, all_0_1_1, all_387_0_307, all_562_0_451 and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_562_0_451, multiplication(all_0_1_1, all_0_1_1) = all_387_0_307, yields:
% 187.74/138.41 | (639) all_562_0_451 = all_387_0_307
% 187.74/138.41 |
% 187.74/138.41 | Instantiating formula (34) with all_0_1_1, all_0_1_1, all_348_1_274, all_387_0_307 and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_387_0_307, multiplication(all_0_1_1, all_0_1_1) = all_348_1_274, yields:
% 187.74/138.41 | (640) all_387_0_307 = all_348_1_274
% 187.74/138.41 |
% 187.74/138.41 | Instantiating formula (34) with all_0_1_1, all_0_1_1, all_344_1_271, all_405_1_322 and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_405_1_322, multiplication(all_0_1_1, all_0_1_1) = all_344_1_271, yields:
% 187.74/138.41 | (641) all_405_1_322 = all_344_1_271
% 187.74/138.41 |
% 187.74/138.41 | Instantiating formula (34) with all_0_1_1, all_0_1_1, all_331_0_253, all_348_1_274 and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_348_1_274, multiplication(all_0_1_1, all_0_1_1) = all_331_0_253, yields:
% 187.74/138.41 | (642) all_348_1_274 = all_331_0_253
% 187.74/138.41 |
% 187.74/138.41 | Instantiating formula (34) with all_0_1_1, all_0_1_1, all_325_0_248, all_344_1_271 and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_344_1_271, multiplication(all_0_1_1, all_0_1_1) = all_325_0_248, yields:
% 187.74/138.41 | (643) all_344_1_271 = all_325_0_248
% 187.74/138.41 |
% 187.74/138.41 | Instantiating formula (34) with all_0_1_1, all_0_1_1, all_325_0_248, all_331_0_253 and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_331_0_253, multiplication(all_0_1_1, all_0_1_1) = all_325_0_248, yields:
% 187.74/138.41 | (644) all_331_0_253 = all_325_0_248
% 187.74/138.41 |
% 187.74/138.41 | Instantiating formula (34) with all_0_1_1, all_0_1_1, all_207_0_158, all_405_1_322 and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_405_1_322, multiplication(all_0_1_1, all_0_1_1) = all_207_0_158, yields:
% 187.74/138.41 | (645) all_405_1_322 = all_207_0_158
% 187.74/138.41 |
% 187.74/138.41 | Instantiating formula (27) with all_508_1_401, all_0_1_1 and discharging atoms multiplication(all_0_1_1, one) = all_508_1_401, yields:
% 187.74/138.41 | (646) all_508_1_401 = all_0_1_1
% 187.74/138.41 |
% 187.74/138.41 | Instantiating formula (34) with all_0_1_1, one, all_451_0_353, all_471_1_374 and discharging atoms multiplication(all_0_1_1, one) = all_471_1_374, multiplication(all_0_1_1, one) = all_451_0_353, yields:
% 187.74/138.41 | (647) all_471_1_374 = all_451_0_353
% 187.74/138.41 |
% 187.74/138.41 | Instantiating formula (34) with all_0_1_1, one, all_378_0_297, all_508_1_401 and discharging atoms multiplication(all_0_1_1, one) = all_508_1_401, multiplication(all_0_1_1, one) = all_378_0_297, yields:
% 187.74/138.41 | (648) all_508_1_401 = all_378_0_297
% 187.74/138.41 |
% 187.74/138.41 | Instantiating formula (34) with all_0_1_1, one, all_366_0_290, all_508_1_401 and discharging atoms multiplication(all_0_1_1, one) = all_508_1_401, multiplication(all_0_1_1, one) = all_366_0_290, yields:
% 187.74/138.41 | (649) all_508_1_401 = all_366_0_290
% 187.74/138.41 |
% 187.74/138.41 | Instantiating formula (34) with all_0_1_1, one, all_366_0_290, all_451_0_353 and discharging atoms multiplication(all_0_1_1, one) = all_451_0_353, multiplication(all_0_1_1, one) = all_366_0_290, yields:
% 187.74/138.41 | (650) all_451_0_353 = all_366_0_290
% 187.74/138.41 |
% 187.74/138.41 | Instantiating formula (34) with all_0_1_1, one, all_327_0_250, all_451_0_353 and discharging atoms multiplication(all_0_1_1, one) = all_451_0_353, multiplication(all_0_1_1, one) = all_327_0_250, yields:
% 187.74/138.41 | (651) all_451_0_353 = all_327_0_250
% 187.74/138.41 |
% 187.74/138.41 | Instantiating formula (34) with all_0_1_1, one, all_307_0_231, all_471_1_374 and discharging atoms multiplication(all_0_1_1, one) = all_471_1_374, multiplication(all_0_1_1, one) = all_307_0_231, yields:
% 187.74/138.41 | (652) all_471_1_374 = all_307_0_231
% 187.74/138.41 |
% 187.74/138.41 | Instantiating formula (34) with all_0_1_1, one, all_224_1_176, all_477_1_380 and discharging atoms multiplication(all_0_1_1, one) = all_477_1_380, multiplication(all_0_1_1, one) = all_224_1_176, yields:
% 187.74/138.41 | (653) all_477_1_380 = all_224_1_176
% 187.74/138.41 |
% 187.74/138.41 | Instantiating formula (34) with all_0_1_1, one, all_224_1_176, all_471_1_374 and discharging atoms multiplication(all_0_1_1, one) = all_471_1_374, multiplication(all_0_1_1, one) = all_224_1_176, yields:
% 187.74/138.41 | (654) all_471_1_374 = all_224_1_176
% 187.74/138.41 |
% 187.74/138.41 | Instantiating formula (34) with all_0_1_1, one, all_219_1_169, all_477_1_380 and discharging atoms multiplication(all_0_1_1, one) = all_477_1_380, multiplication(all_0_1_1, one) = all_219_1_169, yields:
% 187.74/138.41 | (655) all_477_1_380 = all_219_1_169
% 187.74/138.41 |
% 187.74/138.41 | Instantiating formula (34) with all_0_1_1, one, all_215_0_164, all_477_1_380 and discharging atoms multiplication(all_0_1_1, one) = all_477_1_380, multiplication(all_0_1_1, one) = all_215_0_164, yields:
% 187.74/138.41 | (656) all_477_1_380 = all_215_0_164
% 187.74/138.41 |
% 187.74/138.41 | Instantiating formula (34) with all_0_1_1, one, all_209_1_160, all_215_0_164 and discharging atoms multiplication(all_0_1_1, one) = all_215_0_164, multiplication(all_0_1_1, one) = all_209_1_160, yields:
% 187.74/138.41 | (657) all_215_0_164 = all_209_1_160
% 187.74/138.41 |
% 187.74/138.41 | Instantiating formula (33) with all_532_0_422, all_40_0_24 and discharging atoms multiplication(one, all_40_0_24) = all_532_0_422, yields:
% 187.74/138.41 | (658) all_532_0_422 = all_40_0_24
% 187.74/138.41 |
% 187.74/138.41 | Instantiating formula (34) with one, all_0_1_1, all_548_1_438, all_644_0_528 and discharging atoms multiplication(one, all_0_1_1) = all_644_0_528, multiplication(one, all_0_1_1) = all_548_1_438, yields:
% 187.74/138.42 | (659) all_644_0_528 = all_548_1_438
% 187.74/138.42 |
% 187.74/138.42 | Instantiating formula (34) with one, all_0_1_1, all_548_1_438, all_623_0_503 and discharging atoms multiplication(one, all_0_1_1) = all_623_0_503, multiplication(one, all_0_1_1) = all_548_1_438, yields:
% 187.74/138.42 | (660) all_623_0_503 = all_548_1_438
% 187.74/138.42 |
% 187.74/138.42 | Instantiating formula (33) with all_461_1_364, all_0_1_1 and discharging atoms multiplication(one, all_0_1_1) = all_461_1_364, yields:
% 187.74/138.42 | (661) all_461_1_364 = all_0_1_1
% 187.74/138.42 |
% 187.74/138.42 | Instantiating formula (34) with one, all_0_1_1, all_459_1_362, all_623_0_503 and discharging atoms multiplication(one, all_0_1_1) = all_623_0_503, multiplication(one, all_0_1_1) = all_459_1_362, yields:
% 187.74/138.42 | (662) all_623_0_503 = all_459_1_362
% 187.74/138.42 |
% 187.74/138.42 | Instantiating formula (34) with one, all_0_1_1, all_417_0_329, all_644_0_528 and discharging atoms multiplication(one, all_0_1_1) = all_644_0_528, multiplication(one, all_0_1_1) = all_417_0_329, yields:
% 187.74/138.42 | (663) all_644_0_528 = all_417_0_329
% 187.74/138.42 |
% 187.74/138.42 | Instantiating formula (34) with one, all_0_1_1, all_350_1_276, all_548_1_438 and discharging atoms multiplication(one, all_0_1_1) = all_548_1_438, multiplication(one, all_0_1_1) = all_350_1_276, yields:
% 187.74/138.42 | (664) all_548_1_438 = all_350_1_276
% 187.74/138.42 |
% 187.74/138.42 | Instantiating formula (34) with one, all_0_1_1, all_342_0_268, all_461_1_364 and discharging atoms multiplication(one, all_0_1_1) = all_461_1_364, multiplication(one, all_0_1_1) = all_342_0_268, yields:
% 187.74/138.42 | (665) all_461_1_364 = all_342_0_268
% 187.74/138.42 |
% 187.74/138.42 | Instantiating formula (34) with one, all_0_1_1, all_342_0_268, all_350_1_276 and discharging atoms multiplication(one, all_0_1_1) = all_350_1_276, multiplication(one, all_0_1_1) = all_342_0_268, yields:
% 187.74/138.42 | (666) all_350_1_276 = all_342_0_268
% 187.74/138.42 |
% 187.74/138.42 | Instantiating formula (34) with one, all_0_1_1, all_301_0_226, all_548_1_438 and discharging atoms multiplication(one, all_0_1_1) = all_548_1_438, multiplication(one, all_0_1_1) = all_301_0_226, yields:
% 187.74/138.42 | (667) all_548_1_438 = all_301_0_226
% 187.74/138.42 |
% 187.74/138.42 | Instantiating formula (34) with one, one, all_542_1_433, all_627_0_506 and discharging atoms multiplication(one, one) = all_627_0_506, multiplication(one, one) = all_542_1_433, yields:
% 187.74/138.42 | (668) all_627_0_506 = all_542_1_433
% 187.74/138.42 |
% 187.74/138.42 | Instantiating formula (34) with one, one, all_532_1_423, all_542_1_433 and discharging atoms multiplication(one, one) = all_542_1_433, multiplication(one, one) = all_532_1_423, yields:
% 187.74/138.42 | (669) all_542_1_433 = all_532_1_423
% 187.74/138.42 |
% 187.74/138.42 | Instantiating formula (34) with one, one, all_391_0_310, all_627_0_506 and discharging atoms multiplication(one, one) = all_627_0_506, multiplication(one, one) = all_391_0_310, yields:
% 187.74/138.42 | (670) all_627_0_506 = all_391_0_310
% 187.74/138.42 |
% 187.74/138.42 | Instantiating formula (34) with one, one, all_285_1_218, all_542_1_433 and discharging atoms multiplication(one, one) = all_542_1_433, multiplication(one, one) = all_285_1_218, yields:
% 187.74/138.42 | (671) all_542_1_433 = all_285_1_218
% 187.74/138.42 |
% 187.74/138.42 | Instantiating formula (27) with all_285_1_218, one and discharging atoms multiplication(one, one) = all_285_1_218, yields:
% 187.74/138.42 | (672) all_285_1_218 = one
% 187.74/138.42 |
% 187.74/138.42 | Instantiating formula (34) with one, one, all_277_1_210, all_532_1_423 and discharging atoms multiplication(one, one) = all_532_1_423, multiplication(one, one) = all_277_1_210, yields:
% 187.74/138.42 | (673) all_532_1_423 = all_277_1_210
% 187.74/138.42 |
% 187.74/138.42 | Instantiating formula (30) with all_18_1_17, all_49_0_33, all_131_0_98, all_0_1_1 and discharging atoms addition(all_18_1_17, all_49_0_33) = all_131_0_98, addition(all_18_1_17, all_49_0_33) = all_0_1_1, yields:
% 187.74/138.42 | (674) all_131_0_98 = all_0_1_1
% 187.74/138.42 |
% 187.74/138.42 | Instantiating formula (30) with all_18_1_17, all_49_0_33, all_113_0_78, all_131_0_98 and discharging atoms addition(all_18_1_17, all_49_0_33) = all_131_0_98, addition(all_18_1_17, all_49_0_33) = all_113_0_78, yields:
% 187.74/138.42 | (675) all_131_0_98 = all_113_0_78
% 187.74/138.42 |
% 187.74/138.42 | Instantiating formula (18) with all_232_0_180, all_18_1_17 and discharging atoms addition(all_18_1_17, all_18_1_17) = all_232_0_180, yields:
% 187.74/138.42 | (676) all_232_0_180 = all_18_1_17
% 187.74/138.42 |
% 187.74/138.42 | Instantiating formula (30) with all_16_1_15, all_49_0_33, all_620_0_499, all_0_1_1 and discharging atoms addition(all_16_1_15, all_49_0_33) = all_620_0_499, addition(all_16_1_15, all_49_0_33) = all_0_1_1, yields:
% 187.74/138.42 | (677) all_620_0_499 = all_0_1_1
% 187.74/138.42 |
% 187.74/138.42 | Instantiating formula (30) with all_16_1_15, all_49_0_33, all_616_0_497, all_620_0_499 and discharging atoms addition(all_16_1_15, all_49_0_33) = all_620_0_499, addition(all_16_1_15, all_49_0_33) = all_616_0_497, yields:
% 187.74/138.42 | (678) all_620_0_499 = all_616_0_497
% 187.74/138.42 |
% 187.74/138.42 | Instantiating formula (18) with all_631_0_508, all_16_1_15 and discharging atoms addition(all_16_1_15, all_16_1_15) = all_631_0_508, yields:
% 187.74/138.42 | (679) all_631_0_508 = all_16_1_15
% 187.74/138.42 |
% 187.74/138.42 | Instantiating formula (18) with all_497_0_392, one and discharging atoms addition(one, one) = all_497_0_392, yields:
% 187.74/138.42 | (680) all_497_0_392 = one
% 187.74/138.42 |
% 187.74/138.42 | Instantiating formula (30) with one, one, all_495_0_391, all_497_0_392 and discharging atoms addition(one, one) = all_497_0_392, addition(one, one) = all_495_0_391, yields:
% 187.74/138.42 | (681) all_497_0_392 = all_495_0_391
% 187.74/138.42 |
% 187.74/138.42 | Combining equations (659,663) yields a new equation:
% 187.74/138.42 | (682) all_548_1_438 = all_417_0_329
% 187.74/138.42 |
% 187.74/138.42 | Simplifying 682 yields:
% 187.74/138.42 | (683) all_548_1_438 = all_417_0_329
% 187.74/138.42 |
% 187.74/138.42 | Combining equations (613,612) yields a new equation:
% 187.74/138.42 | (684) all_350_0_275 = all_342_1_269
% 187.74/138.42 |
% 187.74/138.42 | Combining equations (615,622) yields a new equation:
% 187.74/138.42 | (685) all_581_1_473 = all_213_0_162
% 187.74/138.42 |
% 187.74/138.42 | Simplifying 685 yields:
% 187.74/138.42 | (686) all_581_1_473 = all_213_0_162
% 187.74/138.42 |
% 187.74/138.42 | Combining equations (668,670) yields a new equation:
% 187.74/138.42 | (687) all_542_1_433 = all_391_0_310
% 187.74/138.42 |
% 187.74/138.42 | Simplifying 687 yields:
% 187.74/138.42 | (688) all_542_1_433 = all_391_0_310
% 187.74/138.42 |
% 187.74/138.42 | Combining equations (632,630) yields a new equation:
% 187.74/138.42 | (689) all_431_1_341 = all_344_0_270
% 187.74/138.42 |
% 187.74/138.42 | Combining equations (628,630) yields a new equation:
% 187.74/138.42 | (690) all_431_0_340 = all_431_1_341
% 187.74/138.42 |
% 187.74/138.42 | Simplifying 690 yields:
% 187.74/138.42 | (691) all_431_0_340 = all_431_1_341
% 187.74/138.42 |
% 187.74/138.42 | Combining equations (660,662) yields a new equation:
% 187.74/138.42 | (692) all_548_1_438 = all_459_1_362
% 187.74/138.42 |
% 187.74/138.42 | Simplifying 692 yields:
% 187.74/138.42 | (693) all_548_1_438 = all_459_1_362
% 187.74/138.42 |
% 187.74/138.42 | Combining equations (677,678) yields a new equation:
% 187.74/138.42 | (694) all_616_0_497 = all_0_1_1
% 187.74/138.42 |
% 187.74/138.42 | Combining equations (593,596) yields a new equation:
% 187.74/138.42 | (695) all_597_0_482 = all_374_0_295
% 187.74/138.42 |
% 187.74/138.42 | Simplifying 695 yields:
% 187.74/138.42 | (696) all_597_0_482 = all_374_0_295
% 187.74/138.42 |
% 187.74/138.42 | Combining equations (637,636) yields a new equation:
% 187.74/138.42 | (697) all_562_0_451 = all_0_0_0
% 187.74/138.42 |
% 187.74/138.42 | Simplifying 697 yields:
% 187.74/138.42 | (698) all_562_0_451 = all_0_0_0
% 187.74/138.42 |
% 187.74/138.42 | Combining equations (603,604) yields a new equation:
% 187.74/138.42 | (699) all_459_0_361 = all_129_1_97
% 187.74/138.42 |
% 187.74/138.42 | Simplifying 699 yields:
% 187.74/138.42 | (700) all_459_0_361 = all_129_1_97
% 187.74/138.42 |
% 187.74/138.42 | Combining equations (597,696) yields a new equation:
% 187.74/138.42 | (701) all_374_0_295 = all_317_0_240
% 187.74/138.42 |
% 187.74/138.42 | Combining equations (594,696) yields a new equation:
% 187.74/138.42 | (702) all_591_0_478 = all_374_0_295
% 187.74/138.42 |
% 187.74/138.42 | Simplifying 702 yields:
% 187.74/138.42 | (703) all_591_0_478 = all_374_0_295
% 187.74/138.42 |
% 187.74/138.42 | Combining equations (600,696) yields a new equation:
% 187.74/138.42 | (704) all_374_0_295 = all_167_0_124
% 187.74/138.42 |
% 187.74/138.42 | Combining equations (598,595) yields a new equation:
% 187.74/138.42 | (705) all_515_1_410 = all_281_1_214
% 187.74/138.42 |
% 187.74/138.42 | Combining equations (703,595) yields a new equation:
% 187.74/138.42 | (706) all_515_1_410 = all_374_0_295
% 187.74/138.42 |
% 187.74/138.42 | Combining equations (618,686) yields a new equation:
% 187.74/138.42 | (707) all_323_0_246 = all_213_0_162
% 187.74/138.42 |
% 187.74/138.42 | Simplifying 707 yields:
% 187.74/138.42 | (708) all_323_0_246 = all_213_0_162
% 187.74/138.42 |
% 187.74/138.42 | Combining equations (633,635) yields a new equation:
% 187.74/138.42 | (709) all_344_0_270 = all_303_0_228
% 187.74/138.42 |
% 187.74/138.42 | Simplifying 709 yields:
% 187.74/138.42 | (710) all_344_0_270 = all_303_0_228
% 187.74/138.42 |
% 187.74/138.42 | Combining equations (592,591) yields a new equation:
% 187.74/138.42 | (711) all_100_2_68 = all_0_1_1
% 187.74/138.42 |
% 187.74/138.42 | Simplifying 711 yields:
% 187.74/138.42 | (712) all_100_2_68 = all_0_1_1
% 187.74/138.42 |
% 187.74/138.42 | Combining equations (639,698) yields a new equation:
% 187.74/138.42 | (713) all_387_0_307 = all_0_0_0
% 187.74/138.42 |
% 187.74/138.42 | Simplifying 713 yields:
% 187.74/138.42 | (714) all_387_0_307 = all_0_0_0
% 187.74/138.42 |
% 187.74/138.42 | Combining equations (626,634) yields a new equation:
% 187.74/138.42 | (715) all_475_0_377 = all_315_0_238
% 187.74/138.42 |
% 187.74/138.42 | Simplifying 715 yields:
% 187.74/138.42 | (716) all_475_0_377 = all_315_0_238
% 187.74/138.42 |
% 187.74/138.42 | Combining equations (664,693) yields a new equation:
% 187.74/138.42 | (717) all_459_1_362 = all_350_1_276
% 187.74/138.42 |
% 187.74/138.42 | Combining equations (683,693) yields a new equation:
% 187.74/138.42 | (718) all_459_1_362 = all_417_0_329
% 187.74/138.42 |
% 187.74/138.42 | Combining equations (667,693) yields a new equation:
% 187.74/138.42 | (719) all_459_1_362 = all_301_0_226
% 187.74/138.42 |
% 187.74/138.42 | Combining equations (671,688) yields a new equation:
% 187.74/138.42 | (720) all_391_0_310 = all_285_1_218
% 187.74/138.42 |
% 187.74/138.42 | Combining equations (669,688) yields a new equation:
% 187.74/138.42 | (721) all_532_1_423 = all_391_0_310
% 187.74/138.42 |
% 187.74/138.42 | Simplifying 721 yields:
% 187.74/138.42 | (722) all_532_1_423 = all_391_0_310
% 187.74/138.42 |
% 187.74/138.42 | Combining equations (722,673) yields a new equation:
% 187.74/138.42 | (723) all_391_0_310 = all_277_1_210
% 187.74/138.42 |
% 187.74/138.42 | Simplifying 723 yields:
% 187.74/138.42 | (724) all_391_0_310 = all_277_1_210
% 187.74/138.42 |
% 187.74/138.42 | Combining equations (706,705) yields a new equation:
% 187.74/138.42 | (725) all_374_0_295 = all_281_1_214
% 187.74/138.42 |
% 187.74/138.43 | Simplifying 725 yields:
% 187.74/138.43 | (726) all_374_0_295 = all_281_1_214
% 187.74/138.43 |
% 187.74/138.43 | Combining equations (619,623) yields a new equation:
% 187.74/138.43 | (727) all_323_0_246 = all_196_0_148
% 187.74/138.43 |
% 187.74/138.43 | Simplifying 727 yields:
% 187.74/138.43 | (728) all_323_0_246 = all_196_0_148
% 187.74/138.43 |
% 187.74/138.43 | Combining equations (616,623) yields a new equation:
% 187.74/138.43 | (729) all_196_0_148 = all_62_1_45
% 187.74/138.43 |
% 187.74/138.43 | Combining equations (649,648) yields a new equation:
% 187.74/138.43 | (730) all_378_0_297 = all_366_0_290
% 187.74/138.43 |
% 187.74/138.43 | Combining equations (646,648) yields a new equation:
% 187.74/138.43 | (731) all_378_0_297 = all_0_1_1
% 187.74/138.43 |
% 187.74/138.43 | Combining equations (680,681) yields a new equation:
% 187.74/138.43 | (732) all_495_0_391 = one
% 187.74/138.43 |
% 187.74/138.43 | Combining equations (653,655) yields a new equation:
% 187.74/138.43 | (733) all_224_1_176 = all_219_1_169
% 187.74/138.43 |
% 187.74/138.43 | Simplifying 733 yields:
% 187.74/138.43 | (734) all_224_1_176 = all_219_1_169
% 187.74/138.43 |
% 187.74/138.43 | Combining equations (656,655) yields a new equation:
% 187.74/138.43 | (735) all_219_1_169 = all_215_0_164
% 187.74/138.43 |
% 187.74/138.43 | Combining equations (627,716) yields a new equation:
% 187.74/138.43 | (736) all_453_0_355 = all_315_0_238
% 187.74/138.43 |
% 187.74/138.43 | Simplifying 736 yields:
% 187.74/138.43 | (737) all_453_0_355 = all_315_0_238
% 187.74/138.43 |
% 187.74/138.43 | Combining equations (647,652) yields a new equation:
% 187.74/138.43 | (738) all_451_0_353 = all_307_0_231
% 187.74/138.43 |
% 187.74/138.43 | Simplifying 738 yields:
% 187.74/138.43 | (739) all_451_0_353 = all_307_0_231
% 187.74/138.43 |
% 187.74/138.43 | Combining equations (654,652) yields a new equation:
% 187.74/138.43 | (740) all_307_0_231 = all_224_1_176
% 187.74/138.43 |
% 187.74/138.43 | Combining equations (665,661) yields a new equation:
% 187.74/138.43 | (741) all_342_0_268 = all_0_1_1
% 187.74/138.43 |
% 187.74/138.43 | Simplifying 741 yields:
% 187.74/138.43 | (742) all_342_0_268 = all_0_1_1
% 187.74/138.43 |
% 187.74/138.43 | Combining equations (719,718) yields a new equation:
% 187.74/138.43 | (743) all_417_0_329 = all_301_0_226
% 187.74/138.43 |
% 187.74/138.43 | Combining equations (717,718) yields a new equation:
% 187.74/138.43 | (744) all_417_0_329 = all_350_1_276
% 187.74/138.43 |
% 187.74/138.43 | Combining equations (608,611) yields a new equation:
% 187.74/138.43 | (745) all_348_0_273 = all_279_1_212
% 187.74/138.43 |
% 187.74/138.43 | Simplifying 745 yields:
% 187.74/138.43 | (746) all_348_0_273 = all_279_1_212
% 187.74/138.43 |
% 187.74/138.43 | Combining equations (629,737) yields a new equation:
% 187.74/138.43 | (747) all_431_0_340 = all_315_0_238
% 187.74/138.43 |
% 187.74/138.43 | Simplifying 747 yields:
% 187.74/138.43 | (748) all_431_0_340 = all_315_0_238
% 187.74/138.43 |
% 187.74/138.43 | Combining equations (739,651) yields a new equation:
% 187.74/138.43 | (749) all_327_0_250 = all_307_0_231
% 187.74/138.43 |
% 187.74/138.43 | Combining equations (650,651) yields a new equation:
% 187.74/138.43 | (750) all_366_0_290 = all_327_0_250
% 187.74/138.43 |
% 187.74/138.43 | Simplifying 750 yields:
% 187.74/138.43 | (751) all_366_0_290 = all_327_0_250
% 187.74/138.43 |
% 187.74/138.43 | Combining equations (691,748) yields a new equation:
% 187.74/138.43 | (752) all_431_1_341 = all_315_0_238
% 187.74/138.43 |
% 187.74/138.43 | Simplifying 752 yields:
% 187.74/138.43 | (753) all_431_1_341 = all_315_0_238
% 187.74/138.43 |
% 187.74/138.43 | Combining equations (689,753) yields a new equation:
% 187.74/138.43 | (754) all_344_0_270 = all_315_0_238
% 187.74/138.43 |
% 187.74/138.43 | Simplifying 754 yields:
% 187.74/138.43 | (755) all_344_0_270 = all_315_0_238
% 187.74/138.43 |
% 187.74/138.43 | Combining equations (605,610) yields a new equation:
% 187.74/138.43 | (756) all_429_1_339 = all_311_0_235
% 187.74/138.43 |
% 187.74/138.43 | Simplifying 756 yields:
% 187.74/138.43 | (757) all_429_1_339 = all_311_0_235
% 187.74/138.43 |
% 187.74/138.43 | Combining equations (607,757) yields a new equation:
% 187.74/138.43 | (758) all_415_0_327 = all_311_0_235
% 187.74/138.43 |
% 187.74/138.43 | Simplifying 758 yields:
% 187.74/138.43 | (759) all_415_0_327 = all_311_0_235
% 187.74/138.43 |
% 187.74/138.43 | Combining equations (744,743) yields a new equation:
% 187.74/138.43 | (760) all_350_1_276 = all_301_0_226
% 187.74/138.43 |
% 187.74/138.43 | Simplifying 760 yields:
% 187.74/138.43 | (761) all_350_1_276 = all_301_0_226
% 187.74/138.43 |
% 187.74/138.43 | Combining equations (606,759) yields a new equation:
% 187.74/138.43 | (762) all_311_0_235 = all_45_1_31
% 187.74/138.43 |
% 187.74/138.43 | Combining equations (609,759) yields a new equation:
% 187.74/138.43 | (763) all_348_0_273 = all_311_0_235
% 187.74/138.43 |
% 187.74/138.43 | Simplifying 763 yields:
% 187.74/138.43 | (764) all_348_0_273 = all_311_0_235
% 187.74/138.43 |
% 187.74/138.43 | Combining equations (617,624) yields a new equation:
% 187.74/138.43 | (765) all_383_0_303 = all_196_1_149
% 187.74/138.43 |
% 187.74/138.43 | Simplifying 765 yields:
% 187.74/138.43 | (766) all_383_0_303 = all_196_1_149
% 187.74/138.43 |
% 187.74/138.43 | Combining equations (645,638) yields a new equation:
% 187.74/138.43 | (767) all_393_0_311 = all_207_0_158
% 187.74/138.43 |
% 187.74/138.43 | Combining equations (641,638) yields a new equation:
% 187.74/138.43 | (768) all_393_0_311 = all_344_1_271
% 187.74/138.43 |
% 187.74/138.43 | Combining equations (768,767) yields a new equation:
% 187.74/138.43 | (769) all_344_1_271 = all_207_0_158
% 187.74/138.43 |
% 187.74/138.43 | Simplifying 769 yields:
% 187.74/138.43 | (770) all_344_1_271 = all_207_0_158
% 187.74/138.43 |
% 187.74/138.43 | Combining equations (720,724) yields a new equation:
% 187.74/138.43 | (771) all_285_1_218 = all_277_1_210
% 187.74/138.43 |
% 187.74/138.43 | Simplifying 771 yields:
% 187.74/138.43 | (772) all_285_1_218 = all_277_1_210
% 187.74/138.43 |
% 187.74/138.43 | Combining equations (640,714) yields a new equation:
% 187.74/138.43 | (773) all_348_1_274 = all_0_0_0
% 187.74/138.43 |
% 187.74/138.43 | Simplifying 773 yields:
% 187.74/138.43 | (774) all_348_1_274 = all_0_0_0
% 187.74/138.43 |
% 187.74/138.43 | Combining equations (620,621) yields a new equation:
% 187.74/138.43 | (775) all_323_0_246 = all_309_0_233
% 187.74/138.43 |
% 187.74/138.43 | Simplifying 775 yields:
% 187.74/138.43 | (776) all_323_0_246 = all_309_0_233
% 187.74/138.43 |
% 187.74/138.43 | Combining equations (766,621) yields a new equation:
% 187.74/138.43 | (777) all_309_0_233 = all_196_1_149
% 187.74/138.43 |
% 187.74/138.43 | Combining equations (730,731) yields a new equation:
% 187.74/138.43 | (778) all_366_0_290 = all_0_1_1
% 187.74/138.43 |
% 187.74/138.43 | Simplifying 778 yields:
% 187.74/138.43 | (779) all_366_0_290 = all_0_1_1
% 187.74/138.43 |
% 187.74/138.43 | Combining equations (704,726) yields a new equation:
% 187.74/138.43 | (780) all_281_1_214 = all_167_0_124
% 187.74/138.43 |
% 187.74/138.43 | Combining equations (701,726) yields a new equation:
% 187.74/138.43 | (781) all_317_0_240 = all_281_1_214
% 187.74/138.43 |
% 187.74/138.43 | Simplifying 781 yields:
% 187.74/138.43 | (782) all_317_0_240 = all_281_1_214
% 187.74/138.43 |
% 187.74/138.43 | Combining equations (751,779) yields a new equation:
% 187.74/138.43 | (783) all_327_0_250 = all_0_1_1
% 187.74/138.43 |
% 187.74/138.43 | Simplifying 783 yields:
% 187.74/138.43 | (784) all_327_0_250 = all_0_1_1
% 187.74/138.43 |
% 187.74/138.43 | Combining equations (666,761) yields a new equation:
% 187.74/138.43 | (785) all_342_0_268 = all_301_0_226
% 187.74/138.43 |
% 187.74/138.43 | Simplifying 785 yields:
% 187.74/138.43 | (786) all_342_0_268 = all_301_0_226
% 187.74/138.43 |
% 187.74/138.43 | Combining equations (764,746) yields a new equation:
% 187.74/138.43 | (787) all_311_0_235 = all_279_1_212
% 187.74/138.43 |
% 187.74/138.44 | Simplifying 787 yields:
% 187.74/138.44 | (788) all_311_0_235 = all_279_1_212
% 187.74/138.44 |
% 187.74/138.44 | Combining equations (642,774) yields a new equation:
% 187.74/138.44 | (789) all_331_0_253 = all_0_0_0
% 187.74/138.44 |
% 187.74/138.44 | Simplifying 789 yields:
% 187.74/138.44 | (790) all_331_0_253 = all_0_0_0
% 187.74/138.44 |
% 187.74/138.44 | Combining equations (631,755) yields a new equation:
% 187.74/138.44 | (791) all_315_0_238 = all_36_1_22
% 187.74/138.44 |
% 187.74/138.44 | Combining equations (710,755) yields a new equation:
% 187.74/138.44 | (792) all_315_0_238 = all_303_0_228
% 187.74/138.44 |
% 187.74/138.44 | Combining equations (643,770) yields a new equation:
% 187.74/138.44 | (793) all_325_0_248 = all_207_0_158
% 187.74/138.44 |
% 187.74/138.44 | Simplifying 793 yields:
% 187.74/138.44 | (794) all_325_0_248 = all_207_0_158
% 187.74/138.44 |
% 187.74/138.44 | Combining equations (786,742) yields a new equation:
% 187.74/138.44 | (795) all_301_0_226 = all_0_1_1
% 187.74/138.44 |
% 187.74/138.44 | Simplifying 795 yields:
% 187.74/138.44 | (796) all_301_0_226 = all_0_1_1
% 187.74/138.44 |
% 187.74/138.44 | Combining equations (644,790) yields a new equation:
% 187.74/138.44 | (797) all_325_0_248 = all_0_0_0
% 187.74/138.44 |
% 187.74/138.44 | Simplifying 797 yields:
% 187.74/138.44 | (798) all_325_0_248 = all_0_0_0
% 187.74/138.44 |
% 187.74/138.44 | Combining equations (749,784) yields a new equation:
% 187.74/138.44 | (799) all_307_0_231 = all_0_1_1
% 187.74/138.44 |
% 187.74/138.44 | Simplifying 799 yields:
% 187.74/138.44 | (800) all_307_0_231 = all_0_1_1
% 187.74/138.44 |
% 187.74/138.44 | Combining equations (798,794) yields a new equation:
% 187.74/138.44 | (801) all_207_0_158 = all_0_0_0
% 187.74/138.44 |
% 187.74/138.44 | Combining equations (776,708) yields a new equation:
% 187.74/138.44 | (802) all_309_0_233 = all_213_0_162
% 187.74/138.44 |
% 187.74/138.44 | Simplifying 802 yields:
% 187.74/138.44 | (803) all_309_0_233 = all_213_0_162
% 187.74/138.44 |
% 187.74/138.44 | Combining equations (728,708) yields a new equation:
% 187.74/138.44 | (804) all_213_0_162 = all_196_0_148
% 187.74/138.44 |
% 187.74/138.44 | Combining equations (782,602) yields a new equation:
% 187.74/138.44 | (805) all_281_1_214 = all_167_1_125
% 187.74/138.44 |
% 187.74/138.44 | Simplifying 805 yields:
% 187.74/138.44 | (806) all_281_1_214 = all_167_1_125
% 187.74/138.44 |
% 187.74/138.44 | Combining equations (791,792) yields a new equation:
% 187.74/138.44 | (807) all_303_0_228 = all_36_1_22
% 187.74/138.44 |
% 187.74/138.44 | Combining equations (762,788) yields a new equation:
% 187.74/138.44 | (808) all_279_1_212 = all_45_1_31
% 187.74/138.44 |
% 187.74/138.44 | Combining equations (803,777) yields a new equation:
% 187.74/138.44 | (809) all_213_0_162 = all_196_1_149
% 187.74/138.44 |
% 187.74/138.44 | Simplifying 809 yields:
% 187.74/138.44 | (810) all_213_0_162 = all_196_1_149
% 187.74/138.44 |
% 187.74/138.44 | Combining equations (740,800) yields a new equation:
% 187.74/138.44 | (811) all_224_1_176 = all_0_1_1
% 187.74/138.44 |
% 187.74/138.44 | Simplifying 811 yields:
% 187.74/138.44 | (812) all_224_1_176 = all_0_1_1
% 187.74/138.44 |
% 187.74/138.44 | Combining equations (672,772) yields a new equation:
% 187.74/138.44 | (813) all_277_1_210 = one
% 187.74/138.44 |
% 187.74/138.44 | Combining equations (780,806) yields a new equation:
% 187.74/138.44 | (814) all_167_0_124 = all_167_1_125
% 187.74/138.44 |
% 187.74/138.44 | Simplifying 814 yields:
% 187.74/138.44 | (815) all_167_0_124 = all_167_1_125
% 187.74/138.44 |
% 187.74/138.44 | Combining equations (601,599) yields a new equation:
% 187.74/138.44 | (816) all_167_0_124 = all_66_1_53
% 187.74/138.44 |
% 187.74/138.44 | Simplifying 816 yields:
% 187.74/138.44 | (817) all_167_0_124 = all_66_1_53
% 187.74/138.44 |
% 187.74/138.44 | Combining equations (734,812) yields a new equation:
% 187.74/138.44 | (818) all_219_1_169 = all_0_1_1
% 187.74/138.44 |
% 187.74/138.44 | Simplifying 818 yields:
% 187.74/138.44 | (819) all_219_1_169 = all_0_1_1
% 187.74/138.44 |
% 187.74/138.44 | Combining equations (735,819) yields a new equation:
% 187.74/138.44 | (820) all_215_0_164 = all_0_1_1
% 187.74/138.44 |
% 187.74/138.44 | Simplifying 820 yields:
% 187.74/138.44 | (821) all_215_0_164 = all_0_1_1
% 187.74/138.44 |
% 187.74/138.44 | Combining equations (657,821) yields a new equation:
% 187.74/138.44 | (822) all_209_1_160 = all_0_1_1
% 187.74/138.44 |
% 187.74/138.44 | Simplifying 822 yields:
% 187.74/138.44 | (823) all_209_1_160 = all_0_1_1
% 187.74/138.44 |
% 187.74/138.44 | Combining equations (804,810) yields a new equation:
% 187.74/138.44 | (824) all_196_0_148 = all_196_1_149
% 187.74/138.44 |
% 187.74/138.44 | Simplifying 824 yields:
% 187.74/138.44 | (825) all_196_0_148 = all_196_1_149
% 187.74/138.44 |
% 187.74/138.44 | Combining equations (729,825) yields a new equation:
% 187.74/138.44 | (826) all_196_1_149 = all_62_1_45
% 187.74/138.44 |
% 187.74/138.44 | Combining equations (817,815) yields a new equation:
% 187.74/138.44 | (827) all_167_1_125 = all_66_1_53
% 187.74/138.44 |
% 187.74/138.44 | Combining equations (675,674) yields a new equation:
% 187.74/138.44 | (828) all_113_0_78 = all_0_1_1
% 187.74/138.44 |
% 187.74/138.44 | Simplifying 828 yields:
% 187.74/138.44 | (829) all_113_0_78 = all_0_1_1
% 187.74/138.44 |
% 187.74/138.44 | Combining equations (827,806) yields a new equation:
% 187.74/138.44 | (830) all_281_1_214 = all_66_1_53
% 187.74/138.44 |
% 187.74/138.44 | Combining equations (807,792) yields a new equation:
% 187.74/138.44 | (791) all_315_0_238 = all_36_1_22
% 187.74/138.44 |
% 187.74/138.44 | Combining equations (801,770) yields a new equation:
% 187.74/138.44 | (832) all_344_1_271 = all_0_0_0
% 187.74/138.44 |
% 187.74/138.44 | Combining equations (791,755) yields a new equation:
% 187.74/138.44 | (631) all_344_0_270 = all_36_1_22
% 187.74/138.44 |
% 187.74/138.44 | Combining equations (808,746) yields a new equation:
% 187.74/138.44 | (834) all_348_0_273 = all_45_1_31
% 187.74/138.44 |
% 187.74/138.44 | Combining equations (796,761) yields a new equation:
% 187.74/138.44 | (835) all_350_1_276 = all_0_1_1
% 187.74/138.44 |
% 187.74/138.44 | Combining equations (830,726) yields a new equation:
% 187.74/138.44 | (836) all_374_0_295 = all_66_1_53
% 187.74/138.44 |
% 187.74/138.44 | Combining equations (801,767) yields a new equation:
% 187.74/138.44 | (837) all_393_0_311 = all_0_0_0
% 187.74/138.44 |
% 187.74/138.44 | Combining equations (837,638) yields a new equation:
% 187.74/138.44 | (838) all_405_1_322 = all_0_0_0
% 187.74/138.44 |
% 187.74/138.44 | Combining equations (826,624) yields a new equation:
% 187.74/138.44 | (839) all_405_0_321 = all_62_1_45
% 187.74/138.44 |
% 187.74/138.44 | Combining equations (796,743) yields a new equation:
% 187.74/138.44 | (840) all_417_0_329 = all_0_1_1
% 187.74/138.44 |
% 187.74/138.44 | Combining equations (840,718) yields a new equation:
% 187.74/138.44 | (841) all_459_1_362 = all_0_1_1
% 187.74/138.44 |
% 187.74/138.44 | Combining equations (819,655) yields a new equation:
% 187.74/138.44 | (842) all_477_1_380 = all_0_1_1
% 187.74/138.44 |
% 187.74/138.44 | Combining equations (813,673) yields a new equation:
% 187.74/138.44 | (843) all_532_1_423 = one
% 187.74/138.44 |
% 187.74/138.44 | Combining equations (836,596) yields a new equation:
% 187.74/138.45 | (844) all_614_0_495 = all_66_1_53
% 187.74/138.45 |
% 187.74/138.45 | From (712) and (583) follows:
% 187.74/138.45 | (38) star(all_0_2_2) = all_0_1_1
% 187.74/138.45 |
% 187.74/138.45 | From (712) and (585) follows:
% 187.74/138.45 | (846) multiplication(all_49_0_33, all_0_1_1) = all_100_1_67
% 187.74/138.45 |
% 187.74/138.45 | From (614) and (523) follows:
% 187.74/138.45 | (274) multiplication(all_0_1_1, all_49_0_33) = all_101_0_69
% 187.74/138.45 |
% 187.74/138.45 | From (801) and (298) follows:
% 187.74/138.45 | (21) multiplication(all_0_1_1, all_0_1_1) = all_0_0_0
% 187.74/138.45 |
% 187.74/138.45 | From (679) and (568) follows:
% 187.74/138.45 | (849) addition(all_16_1_15, all_49_0_33) = all_40_0_24
% 187.74/138.45 |
% 187.74/138.45 | From (636)(844) and (549) follows:
% 187.74/138.45 | (850) addition(all_0_0_0, all_66_1_53) = all_0_0_0
% 187.74/138.45 |
% 187.74/138.45 | From (843)(658) and (504) follows:
% 187.74/138.45 | (89) addition(one, all_40_0_24) = all_0_1_1
% 187.74/138.45 |
% 187.74/138.45 | From (732) and (484) follows:
% 187.74/138.45 | (852) addition(one, all_40_0_24) = all_49_0_33
% 187.74/138.45 |
% 187.74/138.45 | From (842)(625) and (482) follows:
% 187.74/138.45 | (853) addition(all_0_1_1, all_101_1_70) = all_62_1_45
% 187.74/138.45 |
% 187.74/138.45 | From (841)(700) and (462) follows:
% 187.74/138.45 | (854) addition(all_0_1_1, all_129_1_97) = all_66_1_53
% 187.74/138.45 |
% 187.74/138.45 | From (838)(839) and (430) follows:
% 187.74/138.45 | (855) addition(all_0_0_0, all_62_1_45) = all_0_0_0
% 187.74/138.45 |
% 187.74/138.45 | From (835)(684) and (401) follows:
% 187.74/138.45 | (856) addition(all_0_1_1, all_342_1_269) = all_45_1_31
% 187.74/138.45 |
% 187.74/138.45 | From (774)(834) and (397) follows:
% 187.74/138.45 | (857) addition(all_0_0_0, all_45_1_31) = all_0_0_0
% 187.74/138.45 |
% 187.74/138.45 | From (832)(631) and (393) follows:
% 187.74/138.45 | (858) addition(all_0_0_0, all_36_1_22) = all_0_0_0
% 187.74/138.45 |
% 187.74/138.45 | From (676) and (320) follows:
% 187.74/138.45 | (859) addition(all_18_1_17, all_49_0_33) = all_58_0_41
% 187.74/138.45 |
% 187.74/138.45 | From (819) and (314) follows:
% 187.74/138.45 | (860) addition(all_0_1_1, all_219_0_168) = all_0_0_0
% 187.74/138.45 |
% 187.74/138.45 | From (823) and (302) follows:
% 187.74/138.45 | (861) addition(all_0_1_1, all_209_0_159) = all_36_1_22
% 187.74/138.45 |
% 187.74/138.45 | From (829) and (279) follows:
% 187.74/138.45 | (103) addition(all_18_1_17, all_49_0_33) = all_0_1_1
% 187.74/138.45 |
% 187.74/138.45 | From (694) and (552) follows:
% 187.74/138.45 | (186) addition(all_16_1_15, all_49_0_33) = all_0_1_1
% 187.74/138.45 |
% 187.74/138.45 | Instantiating formula (30) with all_18_1_17, all_49_0_33, all_58_0_41, all_0_1_1 and discharging atoms addition(all_18_1_17, all_49_0_33) = all_58_0_41, addition(all_18_1_17, all_49_0_33) = all_0_1_1, yields:
% 187.74/138.45 | (864) all_58_0_41 = all_0_1_1
% 187.74/138.45 |
% 187.74/138.45 | Instantiating formula (30) with all_16_1_15, all_49_0_33, all_40_0_24, all_0_1_1 and discharging atoms addition(all_16_1_15, all_49_0_33) = all_40_0_24, addition(all_16_1_15, all_49_0_33) = all_0_1_1, yields:
% 187.74/138.45 | (865) all_40_0_24 = all_0_1_1
% 187.74/138.45 |
% 187.74/138.45 | Instantiating formula (30) with one, all_40_0_24, all_49_0_33, all_0_1_1 and discharging atoms addition(one, all_40_0_24) = all_49_0_33, addition(one, all_40_0_24) = all_0_1_1, yields:
% 187.74/138.45 | (866) all_49_0_33 = all_0_1_1
% 187.74/138.45 |
% 187.74/138.45 | From (864) and (468) follows:
% 187.74/138.45 | (867) multiplication(all_0_1_1, all_0_1_1) = all_469_0_371
% 187.74/138.45 |
% 187.74/138.45 | From (866) and (846) follows:
% 187.74/138.45 | (868) multiplication(all_0_1_1, all_0_1_1) = all_100_1_67
% 187.74/138.45 |
% 187.74/138.45 | From (865) and (464) follows:
% 187.74/138.45 | (869) multiplication(all_0_1_1, all_0_1_1) = all_461_0_363
% 187.74/138.45 |
% 187.74/138.45 | From (864) and (472) follows:
% 187.74/138.45 | (870) multiplication(all_0_1_1, all_0_1_1) = all_471_0_373
% 187.74/138.45 |
% 187.74/138.45 | From (866) and (274) follows:
% 187.74/138.45 | (871) multiplication(all_0_1_1, all_0_1_1) = all_101_0_69
% 187.74/138.45 |
% 187.74/138.45 | From (865) and (312) follows:
% 187.74/138.45 | (872) multiplication(all_0_1_1, all_0_1_1) = all_219_0_168
% 187.74/138.45 |
% 187.74/138.45 +-Applying beta-rule and splitting (280), into two cases.
% 187.74/138.45 |-Branch one:
% 187.74/138.45 | (873) all_122_0_87 = 0 & star(all_0_2_2) = all_122_2_89 & leq(all_122_1_88, all_0_1_1) = 0 & multiplication(all_0_1_1, all_122_2_89) = all_122_1_88
% 187.74/138.45 |
% 187.74/138.45 | Applying alpha-rule on (873) yields:
% 187.74/138.45 | (874) all_122_0_87 = 0
% 187.74/138.45 | (875) star(all_0_2_2) = all_122_2_89
% 187.74/138.45 | (876) leq(all_122_1_88, all_0_1_1) = 0
% 187.74/138.45 | (877) multiplication(all_0_1_1, all_122_2_89) = all_122_1_88
% 187.74/138.45 |
% 187.74/138.45 +-Applying beta-rule and splitting (556), into two cases.
% 187.74/138.45 |-Branch one:
% 187.74/138.45 | (878) all_622_0_500 = 0 & star(all_0_2_2) = all_622_2_502 & leq(all_622_1_501, all_0_1_1) = 0 & multiplication(all_622_2_502, all_0_1_1) = all_622_1_501
% 187.74/138.45 |
% 187.74/138.45 | Applying alpha-rule on (878) yields:
% 187.74/138.45 | (879) all_622_0_500 = 0
% 187.74/138.45 | (880) star(all_0_2_2) = all_622_2_502
% 187.74/138.45 | (881) leq(all_622_1_501, all_0_1_1) = 0
% 187.74/138.45 | (882) multiplication(all_622_2_502, all_0_1_1) = all_622_1_501
% 187.74/138.45 |
% 187.74/138.45 | Instantiating formula (20) with all_0_2_2, all_622_2_502, all_0_1_1 and discharging atoms star(all_0_2_2) = all_622_2_502, star(all_0_2_2) = all_0_1_1, yields:
% 187.74/138.45 | (883) all_622_2_502 = all_0_1_1
% 187.74/138.45 |
% 187.74/138.45 | Instantiating formula (20) with all_0_2_2, all_122_2_89, all_622_2_502 and discharging atoms star(all_0_2_2) = all_622_2_502, star(all_0_2_2) = all_122_2_89, yields:
% 187.74/138.45 | (884) all_622_2_502 = all_122_2_89
% 187.74/138.45 |
% 187.74/138.45 | Instantiating formula (34) with all_0_1_1, all_0_1_1, all_469_0_371, all_0_0_0 and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_469_0_371, multiplication(all_0_1_1, all_0_1_1) = all_0_0_0, yields:
% 187.74/138.45 | (885) all_469_0_371 = all_0_0_0
% 187.74/138.45 |
% 187.74/138.45 | Instantiating formula (34) with all_0_1_1, all_0_1_1, all_469_0_371, all_471_0_373 and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_471_0_373, multiplication(all_0_1_1, all_0_1_1) = all_469_0_371, yields:
% 187.74/138.45 | (886) all_471_0_373 = all_469_0_371
% 187.74/138.45 |
% 187.74/138.45 | Instantiating formula (34) with all_0_1_1, all_0_1_1, all_461_0_363, all_471_0_373 and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_471_0_373, multiplication(all_0_1_1, all_0_1_1) = all_461_0_363, yields:
% 187.74/138.45 | (887) all_471_0_373 = all_461_0_363
% 187.74/138.45 |
% 187.74/138.45 | Instantiating formula (34) with all_0_1_1, all_0_1_1, all_219_0_168, all_471_0_373 and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_471_0_373, multiplication(all_0_1_1, all_0_1_1) = all_219_0_168, yields:
% 187.74/138.45 | (888) all_471_0_373 = all_219_0_168
% 187.74/138.45 |
% 187.74/138.45 | Instantiating formula (34) with all_0_1_1, all_0_1_1, all_101_0_69, all_219_0_168 and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_219_0_168, multiplication(all_0_1_1, all_0_1_1) = all_101_0_69, yields:
% 187.74/138.45 | (889) all_219_0_168 = all_101_0_69
% 187.74/138.45 |
% 187.74/138.45 | Instantiating formula (34) with all_0_1_1, all_0_1_1, all_100_1_67, all_101_0_69 and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_101_0_69, multiplication(all_0_1_1, all_0_1_1) = all_100_1_67, yields:
% 187.74/138.45 | (890) all_101_0_69 = all_100_1_67
% 187.74/138.45 |
% 187.74/138.45 | Combining equations (883,884) yields a new equation:
% 187.74/138.45 | (891) all_122_2_89 = all_0_1_1
% 187.74/138.45 |
% 187.74/138.45 | Combining equations (886,887) yields a new equation:
% 187.74/138.45 | (892) all_469_0_371 = all_461_0_363
% 187.74/138.45 |
% 187.74/138.45 | Simplifying 892 yields:
% 187.74/138.45 | (893) all_469_0_371 = all_461_0_363
% 187.74/138.45 |
% 187.74/138.45 | Combining equations (888,887) yields a new equation:
% 187.74/138.45 | (894) all_461_0_363 = all_219_0_168
% 187.74/138.45 |
% 187.74/138.45 | Combining equations (893,885) yields a new equation:
% 187.74/138.45 | (895) all_461_0_363 = all_0_0_0
% 187.74/138.45 |
% 187.74/138.45 | Simplifying 895 yields:
% 187.74/138.46 | (896) all_461_0_363 = all_0_0_0
% 187.74/138.46 |
% 187.74/138.46 | Combining equations (894,896) yields a new equation:
% 187.74/138.46 | (897) all_219_0_168 = all_0_0_0
% 187.74/138.46 |
% 187.74/138.46 | Simplifying 897 yields:
% 187.74/138.46 | (898) all_219_0_168 = all_0_0_0
% 187.74/138.46 |
% 187.74/138.46 | Combining equations (889,898) yields a new equation:
% 187.74/138.46 | (899) all_101_0_69 = all_0_0_0
% 187.74/138.46 |
% 187.74/138.46 | Simplifying 899 yields:
% 187.74/138.46 | (900) all_101_0_69 = all_0_0_0
% 187.74/138.46 |
% 187.74/138.46 | Combining equations (900,890) yields a new equation:
% 187.74/138.46 | (901) all_100_1_67 = all_0_0_0
% 187.74/138.46 |
% 187.74/138.46 | Combining equations (891,884) yields a new equation:
% 187.74/138.46 | (883) all_622_2_502 = all_0_1_1
% 187.74/138.46 |
% 187.74/138.46 | From (883) and (882) follows:
% 187.74/138.46 | (903) multiplication(all_0_1_1, all_0_1_1) = all_622_1_501
% 187.74/138.46 |
% 187.74/138.46 | From (891) and (877) follows:
% 187.74/138.46 | (904) multiplication(all_0_1_1, all_0_1_1) = all_122_1_88
% 187.74/138.46 |
% 187.74/138.46 | From (901) and (868) follows:
% 187.74/138.46 | (21) multiplication(all_0_1_1, all_0_1_1) = all_0_0_0
% 187.74/138.46 |
% 187.74/138.46 | From (898) and (860) follows:
% 187.74/138.46 | (906) addition(all_0_1_1, all_0_0_0) = all_0_0_0
% 187.74/138.46 |
% 187.74/138.46 | Instantiating formula (34) with all_0_1_1, all_0_1_1, all_622_1_501, all_0_0_0 and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_622_1_501, multiplication(all_0_1_1, all_0_1_1) = all_0_0_0, yields:
% 187.74/138.46 | (907) all_622_1_501 = all_0_0_0
% 187.74/138.46 |
% 187.74/138.46 | Instantiating formula (34) with all_0_1_1, all_0_1_1, all_122_1_88, all_622_1_501 and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_622_1_501, multiplication(all_0_1_1, all_0_1_1) = all_122_1_88, yields:
% 187.74/138.46 | (908) all_622_1_501 = all_122_1_88
% 187.74/138.46 |
% 187.74/138.46 | Combining equations (907,908) yields a new equation:
% 187.74/138.46 | (909) all_122_1_88 = all_0_0_0
% 187.74/138.46 |
% 187.74/138.46 | From (909) and (876) follows:
% 187.74/138.46 | (910) leq(all_0_0_0, all_0_1_1) = 0
% 187.74/138.46 |
% 187.74/138.46 | Instantiating formula (23) with all_0_1_1, all_0_0_0 and discharging atoms leq(all_0_0_0, all_0_1_1) = 0, yields:
% 187.74/138.46 | (911) addition(all_0_0_0, all_0_1_1) = all_0_1_1
% 187.74/138.46 |
% 187.74/138.46 | Instantiating formula (32) with all_0_0_0, all_45_1_31, all_0_0_0, all_0_1_1, all_342_1_269 and discharging atoms addition(all_0_0_0, all_45_1_31) = all_0_0_0, addition(all_0_1_1, all_342_1_269) = all_45_1_31, yields:
% 187.74/138.46 | (912) ? [v0] : (addition(v0, all_342_1_269) = all_0_0_0 & addition(all_0_0_0, all_0_1_1) = v0)
% 187.74/138.46 |
% 187.74/138.46 | Instantiating formula (32) with all_0_0_0, all_36_1_22, all_0_0_0, all_0_1_1, all_209_0_159 and discharging atoms addition(all_0_0_0, all_36_1_22) = all_0_0_0, addition(all_0_1_1, all_209_0_159) = all_36_1_22, yields:
% 187.74/138.46 | (913) ? [v0] : (addition(v0, all_209_0_159) = all_0_0_0 & addition(all_0_0_0, all_0_1_1) = v0)
% 187.74/138.46 |
% 187.74/138.46 | Instantiating formula (32) with all_0_0_0, all_66_1_53, all_0_0_0, all_0_1_1, all_129_1_97 and discharging atoms addition(all_0_0_0, all_66_1_53) = all_0_0_0, addition(all_0_1_1, all_129_1_97) = all_66_1_53, yields:
% 187.74/138.46 | (914) ? [v0] : (addition(v0, all_129_1_97) = all_0_0_0 & addition(all_0_0_0, all_0_1_1) = v0)
% 187.74/138.46 |
% 187.74/138.46 | Instantiating formula (32) with all_0_0_0, all_62_1_45, all_0_0_0, all_0_1_1, all_101_1_70 and discharging atoms addition(all_0_0_0, all_62_1_45) = all_0_0_0, addition(all_0_1_1, all_101_1_70) = all_62_1_45, yields:
% 187.74/138.46 | (915) ? [v0] : (addition(v0, all_101_1_70) = all_0_0_0 & addition(all_0_0_0, all_0_1_1) = v0)
% 187.74/138.46 |
% 187.74/138.46 | Instantiating formula (12) with all_0_0_0, all_0_1_1, all_0_0_0 and discharging atoms addition(all_0_1_1, all_0_0_0) = all_0_0_0, yields:
% 187.74/138.46 | (916) addition(all_0_0_0, all_0_1_1) = all_0_0_0
% 187.74/138.46 |
% 187.74/138.46 | Instantiating (915) with all_3445_0_2560 yields:
% 187.74/138.46 | (917) addition(all_3445_0_2560, all_101_1_70) = all_0_0_0 & addition(all_0_0_0, all_0_1_1) = all_3445_0_2560
% 187.74/138.46 |
% 187.74/138.46 | Applying alpha-rule on (917) yields:
% 187.74/138.46 | (918) addition(all_3445_0_2560, all_101_1_70) = all_0_0_0
% 187.74/138.46 | (919) addition(all_0_0_0, all_0_1_1) = all_3445_0_2560
% 187.74/138.46 |
% 187.74/138.46 | Instantiating (914) with all_3460_0_2575 yields:
% 187.74/138.46 | (920) addition(all_3460_0_2575, all_129_1_97) = all_0_0_0 & addition(all_0_0_0, all_0_1_1) = all_3460_0_2575
% 187.74/138.46 |
% 187.74/138.46 | Applying alpha-rule on (920) yields:
% 187.74/138.46 | (921) addition(all_3460_0_2575, all_129_1_97) = all_0_0_0
% 187.74/138.46 | (922) addition(all_0_0_0, all_0_1_1) = all_3460_0_2575
% 187.74/138.46 |
% 187.74/138.46 | Instantiating (912) with all_8271_0_6323 yields:
% 187.74/138.46 | (923) addition(all_8271_0_6323, all_342_1_269) = all_0_0_0 & addition(all_0_0_0, all_0_1_1) = all_8271_0_6323
% 187.74/138.46 |
% 187.74/138.46 | Applying alpha-rule on (923) yields:
% 187.74/138.46 | (924) addition(all_8271_0_6323, all_342_1_269) = all_0_0_0
% 187.74/138.46 | (925) addition(all_0_0_0, all_0_1_1) = all_8271_0_6323
% 187.74/138.46 |
% 187.74/138.46 | Instantiating (913) with all_8992_0_6879 yields:
% 187.74/138.46 | (926) addition(all_8992_0_6879, all_209_0_159) = all_0_0_0 & addition(all_0_0_0, all_0_1_1) = all_8992_0_6879
% 187.74/138.46 |
% 187.74/138.46 | Applying alpha-rule on (926) yields:
% 187.74/138.46 | (927) addition(all_8992_0_6879, all_209_0_159) = all_0_0_0
% 187.74/138.46 | (928) addition(all_0_0_0, all_0_1_1) = all_8992_0_6879
% 187.74/138.46 |
% 187.74/138.46 | Instantiating formula (30) with all_0_0_0, all_0_1_1, all_8271_0_6323, all_8992_0_6879 and discharging atoms addition(all_0_0_0, all_0_1_1) = all_8992_0_6879, addition(all_0_0_0, all_0_1_1) = all_8271_0_6323, yields:
% 187.74/138.46 | (929) all_8992_0_6879 = all_8271_0_6323
% 187.74/138.46 |
% 187.74/138.46 | Instantiating formula (30) with all_0_0_0, all_0_1_1, all_3460_0_2575, all_8271_0_6323 and discharging atoms addition(all_0_0_0, all_0_1_1) = all_8271_0_6323, addition(all_0_0_0, all_0_1_1) = all_3460_0_2575, yields:
% 187.74/138.46 | (930) all_8271_0_6323 = all_3460_0_2575
% 187.74/138.46 |
% 187.74/138.46 | Instantiating formula (30) with all_0_0_0, all_0_1_1, all_3445_0_2560, all_3460_0_2575 and discharging atoms addition(all_0_0_0, all_0_1_1) = all_3460_0_2575, addition(all_0_0_0, all_0_1_1) = all_3445_0_2560, yields:
% 187.74/138.46 | (931) all_3460_0_2575 = all_3445_0_2560
% 187.74/138.46 |
% 187.74/138.46 | Instantiating formula (30) with all_0_0_0, all_0_1_1, all_0_0_0, all_8992_0_6879 and discharging atoms addition(all_0_0_0, all_0_1_1) = all_8992_0_6879, addition(all_0_0_0, all_0_1_1) = all_0_0_0, yields:
% 187.74/138.46 | (932) all_8992_0_6879 = all_0_0_0
% 187.74/138.46 |
% 187.74/138.46 | Instantiating formula (30) with all_0_0_0, all_0_1_1, all_0_1_1, all_3445_0_2560 and discharging atoms addition(all_0_0_0, all_0_1_1) = all_3445_0_2560, addition(all_0_0_0, all_0_1_1) = all_0_1_1, yields:
% 187.74/138.46 | (933) all_3445_0_2560 = all_0_1_1
% 187.74/138.46 |
% 187.74/138.46 | Combining equations (929,932) yields a new equation:
% 187.74/138.46 | (934) all_8271_0_6323 = all_0_0_0
% 187.74/138.46 |
% 187.74/138.46 | Simplifying 934 yields:
% 187.74/138.46 | (935) all_8271_0_6323 = all_0_0_0
% 187.74/138.46 |
% 187.74/138.46 | Combining equations (930,935) yields a new equation:
% 187.74/138.46 | (936) all_3460_0_2575 = all_0_0_0
% 187.74/138.46 |
% 187.74/138.46 | Simplifying 936 yields:
% 187.74/138.46 | (937) all_3460_0_2575 = all_0_0_0
% 187.74/138.46 |
% 187.74/138.46 | Combining equations (931,937) yields a new equation:
% 187.74/138.46 | (938) all_3445_0_2560 = all_0_0_0
% 187.74/138.46 |
% 187.74/138.46 | Simplifying 938 yields:
% 187.74/138.46 | (939) all_3445_0_2560 = all_0_0_0
% 187.74/138.46 |
% 187.74/138.46 | Combining equations (933,939) yields a new equation:
% 187.74/138.46 | (940) all_0_0_0 = all_0_1_1
% 187.74/138.46 |
% 187.74/138.46 | Equations (940) can reduce 7 to:
% 187.74/138.46 | (941) $false
% 187.74/138.46 |
% 187.74/138.46 |-The branch is then unsatisfiable
% 187.74/138.46 |-Branch two:
% 187.74/138.46 | (942) ~ (all_622_2_502 = 0) & leq(all_40_0_24, all_0_1_1) = all_622_2_502
% 187.74/138.46 |
% 187.74/138.46 | Applying alpha-rule on (942) yields:
% 187.74/138.46 | (943) ~ (all_622_2_502 = 0)
% 187.74/138.46 | (944) leq(all_40_0_24, all_0_1_1) = all_622_2_502
% 187.74/138.47 |
% 187.74/138.47 | From (865) and (944) follows:
% 187.74/138.47 | (945) leq(all_0_1_1, all_0_1_1) = all_622_2_502
% 187.74/138.47 |
% 187.74/138.47 | Instantiating formula (10) with all_0_1_1, all_0_1_1, all_622_2_502, 0 and discharging atoms leq(all_0_1_1, all_0_1_1) = all_622_2_502, leq(all_0_1_1, all_0_1_1) = 0, yields:
% 187.74/138.47 | (946) all_622_2_502 = 0
% 187.74/138.47 |
% 187.74/138.47 | Equations (946) can reduce 943 to:
% 187.74/138.47 | (941) $false
% 187.74/138.47 |
% 187.74/138.47 |-The branch is then unsatisfiable
% 187.74/138.47 |-Branch two:
% 187.74/138.47 | (948) ~ (all_122_2_89 = 0) & leq(all_58_0_41, all_0_1_1) = all_122_2_89
% 187.74/138.47 |
% 187.74/138.47 | Applying alpha-rule on (948) yields:
% 187.74/138.47 | (949) ~ (all_122_2_89 = 0)
% 187.74/138.47 | (950) leq(all_58_0_41, all_0_1_1) = all_122_2_89
% 187.74/138.47 |
% 187.74/138.47 | From (864) and (950) follows:
% 187.74/138.47 | (951) leq(all_0_1_1, all_0_1_1) = all_122_2_89
% 187.74/138.47 |
% 187.74/138.47 | Instantiating formula (10) with all_0_1_1, all_0_1_1, all_122_2_89, 0 and discharging atoms leq(all_0_1_1, all_0_1_1) = all_122_2_89, leq(all_0_1_1, all_0_1_1) = 0, yields:
% 187.74/138.47 | (952) all_122_2_89 = 0
% 187.74/138.47 |
% 187.74/138.47 | Equations (952) can reduce 949 to:
% 187.74/138.47 | (941) $false
% 187.74/138.47 |
% 187.74/138.47 |-The branch is then unsatisfiable
% 187.74/138.47 |-Branch two:
% 187.74/138.47 | (954) ~ (all_564_2_455 = 0) & leq(all_0_1_1, all_0_1_1) = all_564_2_455
% 187.74/138.47 |
% 187.74/138.47 | Applying alpha-rule on (954) yields:
% 187.74/138.47 | (955) ~ (all_564_2_455 = 0)
% 187.74/138.47 | (956) leq(all_0_1_1, all_0_1_1) = all_564_2_455
% 187.74/138.47 |
% 187.74/138.47 | Instantiating formula (10) with all_0_1_1, all_0_1_1, all_564_2_455, 0 and discharging atoms leq(all_0_1_1, all_0_1_1) = all_564_2_455, leq(all_0_1_1, all_0_1_1) = 0, yields:
% 187.74/138.47 | (957) all_564_2_455 = 0
% 187.74/138.47 |
% 187.74/138.47 | Equations (957) can reduce 955 to:
% 187.74/138.47 | (941) $false
% 187.74/138.47 |
% 187.74/138.47 |-The branch is then unsatisfiable
% 187.74/138.47 |-Branch two:
% 187.74/138.47 | (959) ~ (all_100_2_68 = 0) & leq(all_0_1_1, all_0_1_1) = all_100_2_68
% 187.74/138.47 |
% 187.74/138.47 | Applying alpha-rule on (959) yields:
% 187.74/138.47 | (960) ~ (all_100_2_68 = 0)
% 187.74/138.47 | (961) leq(all_0_1_1, all_0_1_1) = all_100_2_68
% 187.74/138.47 |
% 187.74/138.47 | Instantiating formula (10) with all_0_1_1, all_0_1_1, all_100_2_68, 0 and discharging atoms leq(all_0_1_1, all_0_1_1) = all_100_2_68, leq(all_0_1_1, all_0_1_1) = 0, yields:
% 187.74/138.47 | (962) all_100_2_68 = 0
% 187.74/138.47 |
% 187.74/138.47 | Equations (962) can reduce 960 to:
% 187.74/138.47 | (941) $false
% 187.74/138.47 |
% 187.74/138.47 |-The branch is then unsatisfiable
% 187.74/138.47 |-Branch two:
% 187.74/138.47 | (964) ~ (all_64_2_48 = 0) & leq(all_16_0_14, all_0_1_1) = all_64_2_48
% 187.74/138.47 |
% 187.74/138.47 | Applying alpha-rule on (964) yields:
% 187.74/138.47 | (965) ~ (all_64_2_48 = 0)
% 187.74/138.47 | (966) leq(all_16_0_14, all_0_1_1) = all_64_2_48
% 187.74/138.47 |
% 187.74/138.47 | Instantiating formula (10) with all_16_0_14, all_0_1_1, all_64_2_48, 0 and discharging atoms leq(all_16_0_14, all_0_1_1) = all_64_2_48, leq(all_16_0_14, all_0_1_1) = 0, yields:
% 187.74/138.47 | (967) all_64_2_48 = 0
% 187.74/138.47 |
% 187.74/138.47 | Equations (967) can reduce 965 to:
% 187.74/138.47 | (941) $false
% 187.74/138.47 |
% 187.74/138.47 |-The branch is then unsatisfiable
% 187.74/138.47 |-Branch two:
% 187.74/138.47 | (969) ~ (all_44_2_29 = 0) & leq(all_18_0_16, all_0_1_1) = all_44_2_29
% 187.74/138.47 |
% 187.74/138.47 | Applying alpha-rule on (969) yields:
% 187.74/138.47 | (970) ~ (all_44_2_29 = 0)
% 187.74/138.47 | (971) leq(all_18_0_16, all_0_1_1) = all_44_2_29
% 187.74/138.47 |
% 187.74/138.47 | Instantiating formula (10) with all_18_0_16, all_0_1_1, all_44_2_29, 0 and discharging atoms leq(all_18_0_16, all_0_1_1) = all_44_2_29, leq(all_18_0_16, all_0_1_1) = 0, yields:
% 187.74/138.47 | (972) all_44_2_29 = 0
% 187.74/138.47 |
% 187.74/138.47 | Equations (972) can reduce 970 to:
% 187.74/138.47 | (941) $false
% 187.74/138.47 |
% 187.74/138.47 |-The branch is then unsatisfiable
% 187.74/138.47 % SZS output end Proof for theBenchmark
% 187.74/138.47
% 187.74/138.47 137850ms
%------------------------------------------------------------------------------