TSTP Solution File: KLE150+2 by ePrincess---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : KLE150+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n025.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 01:51:37 EDT 2022
% Result : Theorem 8.66s 2.80s
% Output : Proof 18.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : KLE150+2 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.35 % Computer : n025.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Thu Jun 16 08:39:41 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.60 ____ _
% 0.21/0.60 ___ / __ \_____(_)___ ________ __________
% 0.21/0.60 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.21/0.60 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.21/0.60 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.21/0.60
% 0.21/0.60 A Theorem Prover for First-Order Logic
% 0.21/0.60 (ePrincess v.1.0)
% 0.21/0.60
% 0.21/0.60 (c) Philipp Rümmer, 2009-2015
% 0.21/0.60 (c) Peter Backeman, 2014-2015
% 0.21/0.60 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.21/0.60 Free software under GNU Lesser General Public License (LGPL).
% 0.21/0.60 Bug reports to peter@backeman.se
% 0.21/0.60
% 0.21/0.60 For more information, visit http://user.uu.se/~petba168/breu/
% 0.21/0.60
% 0.21/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.71/0.65 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.56/0.93 Prover 0: Preprocessing ...
% 2.23/1.18 Prover 0: Constructing countermodel ...
% 8.66/2.80 Prover 0: proved (2147ms)
% 8.66/2.80
% 8.66/2.80 No countermodel exists, formula is valid
% 8.66/2.80 % SZS status Theorem for theBenchmark
% 8.66/2.80
% 8.66/2.80 Generating proof ... found it (size 729)
% 17.88/4.96
% 17.88/4.96 % SZS output start Proof for theBenchmark
% 17.88/4.96 Assumed formulas after preprocessing and simplification:
% 17.88/4.96 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (strong_iteration(v1) = v2 & multiplication(v0, zero) = v1 & addition(one, v1) = v3 & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (multiplication(v5, v6) = v8) | ~ (multiplication(v4, v6) = v7) | ~ (addition(v7, v8) = v9) | ? [v10] : (multiplication(v10, v6) = v9 & addition(v4, v5) = v10)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (multiplication(v4, v6) = v8) | ~ (multiplication(v4, v5) = v7) | ~ (addition(v7, v8) = v9) | ? [v10] : (multiplication(v4, v10) = v9 & addition(v5, v6) = v10)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v8 = v5 | ~ (strong_iteration(v4) = v5) | ~ (star(v4) = v6) | ~ (multiplication(v5, zero) = v7) | ~ (addition(v6, v7) = v8)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (multiplication(v7, v6) = v8) | ~ (multiplication(v4, v5) = v7) | ? [v9] : (multiplication(v5, v6) = v9 & multiplication(v4, v9) = v8)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (multiplication(v7, v6) = v8) | ~ (addition(v4, v5) = v7) | ? [v9] : ? [v10] : (multiplication(v5, v6) = v10 & multiplication(v4, v6) = v9 & addition(v9, v10) = v8)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (multiplication(v6, v4) = v7) | ~ (addition(v7, v5) = v8) | ~ leq(v8, v6) | ? [v9] : ? [v10] : (star(v4) = v9 & multiplication(v5, v9) = v10 & leq(v10, v6))) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (multiplication(v5, v6) = v7) | ~ (multiplication(v4, v7) = v8) | ? [v9] : (multiplication(v9, v6) = v8 & multiplication(v4, v5) = v9)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (multiplication(v4, v7) = v8) | ~ (addition(v5, v6) = v7) | ? [v9] : ? [v10] : (multiplication(v4, v6) = v10 & multiplication(v4, v5) = v9 & addition(v9, v10) = v8)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (multiplication(v4, v6) = v7) | ~ (addition(v7, v5) = v8) | ~ leq(v8, v6) | ? [v9] : ? [v10] : (star(v4) = v9 & multiplication(v9, v5) = v10 & leq(v10, v6))) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (multiplication(v4, v6) = v7) | ~ (addition(v7, v5) = v8) | ~ leq(v6, v8) | ? [v9] : ? [v10] : (strong_iteration(v4) = v9 & multiplication(v9, v5) = v10 & leq(v6, v10))) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (addition(v7, v4) = v8) | ~ (addition(v6, v5) = v7) | ? [v9] : (addition(v6, v9) = v8 & addition(v5, v4) = v9)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (addition(v6, v7) = v8) | ~ (addition(v5, v4) = v7) | ? [v9] : (addition(v9, v4) = v8 & addition(v6, v5) = v9)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v5 = v4 | ~ (multiplication(v7, v6) = v5) | ~ (multiplication(v7, v6) = v4)) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v5 = v4 | ~ (addition(v7, v6) = v5) | ~ (addition(v7, v6) = v4)) & ! [v4] : ! [v5] : ! [v6] : (v6 = v5 | ~ (addition(v4, v5) = v6) | ~ leq(v4, v5)) & ! [v4] : ! [v5] : ! [v6] : (v5 = v4 | ~ (strong_iteration(v6) = v5) | ~ (strong_iteration(v6) = v4)) & ! [v4] : ! [v5] : ! [v6] : (v5 = v4 | ~ (star(v6) = v5) | ~ (star(v6) = v4)) & ! [v4] : ! [v5] : ! [v6] : ( ~ (strong_iteration(v4) = v5) | ~ (multiplication(v4, v5) = v6) | addition(v6, one) = v5) & ! [v4] : ! [v5] : ! [v6] : ( ~ (star(v4) = v5) | ~ (multiplication(v5, v4) = v6) | addition(one, v6) = v5) & ! [v4] : ! [v5] : ! [v6] : ( ~ (star(v4) = v5) | ~ (multiplication(v4, v5) = v6) | addition(one, v6) = v5) & ! [v4] : ! [v5] : ! [v6] : ( ~ (addition(v5, v4) = v6) | addition(v4, v5) = v6) & ! [v4] : ! [v5] : ! [v6] : ( ~ (addition(v4, v5) = v6) | addition(v5, v4) = v6) & ! [v4] : ! [v5] : (v5 = v4 | ~ (multiplication(v4, one) = v5)) & ! [v4] : ! [v5] : (v5 = v4 | ~ (multiplication(one, v4) = v5)) & ! [v4] : ! [v5] : (v5 = v4 | ~ (addition(v4, v4) = v5)) & ! [v4] : ! [v5] : (v5 = v4 | ~ (addition(v4, zero) = v5)) & ! [v4] : ! [v5] : (v5 = zero | ~ (multiplication(zero, v4) = v5)) & ! [v4] : ! [v5] : ( ~ (strong_iteration(v4) = v5) | ? [v6] : ? [v7] : (star(v4) = v6 & multiplication(v5, zero) = v7 & addition(v6, v7) = v5)) & ! [v4] : ! [v5] : ( ~ (strong_iteration(v4) = v5) | ? [v6] : (multiplication(v4, v5) = v6 & addition(v6, one) = v5)) & ! [v4] : ! [v5] : ( ~ (star(v4) = v5) | ? [v6] : (multiplication(v5, v4) = v6 & addition(one, v6) = v5)) & ! [v4] : ! [v5] : ( ~ (star(v4) = v5) | ? [v6] : (multiplication(v4, v5) = v6 & addition(one, v6) = v5)) & ! [v4] : ! [v5] : ( ~ (addition(v4, v5) = v5) | leq(v4, v5)) & ( ~ leq(v3, v2) | ~ leq(v2, v3)))
% 18.14/5.01 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3 yields:
% 18.14/5.01 | (1) strong_iteration(all_0_2_2) = all_0_1_1 & multiplication(all_0_3_3, zero) = all_0_2_2 & addition(one, all_0_2_2) = all_0_0_0 & ! [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] : (v4 = v1 | ~ (strong_iteration(v0) = v1) | ~ (star(v0) = v2) | ~ (multiplication(v1, zero) = v3) | ~ (addition(v2, v3) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v3, v2) = v4) | ~ (multiplication(v0, v1) = v3) | ? [v5] : (multiplication(v1, v2) = v5 & multiplication(v0, v5) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v3, v2) = v4) | ~ (addition(v0, v1) = v3) | ? [v5] : ? [v6] : (multiplication(v1, v2) = v6 & multiplication(v0, v2) = v5 & addition(v5, v6) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v2, v0) = v3) | ~ (addition(v3, v1) = v4) | ~ leq(v4, v2) | ? [v5] : ? [v6] : (star(v0) = v5 & multiplication(v1, v5) = v6 & leq(v6, v2))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v1, v2) = v3) | ~ (multiplication(v0, v3) = v4) | ? [v5] : (multiplication(v5, v2) = v4 & multiplication(v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v0, v3) = v4) | ~ (addition(v1, v2) = v3) | ? [v5] : ? [v6] : (multiplication(v0, v2) = v6 & multiplication(v0, v1) = v5 & addition(v5, v6) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v0, v2) = v3) | ~ (addition(v3, v1) = v4) | ~ leq(v4, v2) | ? [v5] : ? [v6] : (star(v0) = v5 & multiplication(v5, v1) = v6 & leq(v6, v2))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v0, v2) = v3) | ~ (addition(v3, v1) = v4) | ~ leq(v2, v4) | ? [v5] : ? [v6] : (strong_iteration(v0) = v5 & multiplication(v5, v1) = v6 & leq(v2, v6))) & ! [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 | ~ (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) | ~ leq(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strong_iteration(v2) = v1) | ~ (strong_iteration(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (star(v2) = v1) | ~ (star(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (strong_iteration(v0) = v1) | ~ (multiplication(v0, v1) = v2) | addition(v2, one) = v1) & ! [v0] : ! [v1] : ! [v2] : ( ~ (star(v0) = v1) | ~ (multiplication(v1, v0) = v2) | addition(one, v2) = v1) & ! [v0] : ! [v1] : ! [v2] : ( ~ (star(v0) = v1) | ~ (multiplication(v0, v1) = v2) | addition(one, v2) = v1) & ! [v0] : ! [v1] : ! [v2] : ( ~ (addition(v1, v0) = v2) | addition(v0, v1) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (addition(v0, v1) = v2) | addition(v1, v0) = v2) & ! [v0] : ! [v1] : (v1 = v0 | ~ (multiplication(v0, one) = v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (multiplication(one, v0) = v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (addition(v0, v0) = v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (addition(v0, zero) = v1)) & ! [v0] : ! [v1] : (v1 = zero | ~ (multiplication(zero, v0) = v1)) & ! [v0] : ! [v1] : ( ~ (strong_iteration(v0) = v1) | ? [v2] : ? [v3] : (star(v0) = v2 & multiplication(v1, zero) = v3 & addition(v2, v3) = v1)) & ! [v0] : ! [v1] : ( ~ (strong_iteration(v0) = v1) | ? [v2] : (multiplication(v0, v1) = v2 & addition(v2, one) = v1)) & ! [v0] : ! [v1] : ( ~ (star(v0) = v1) | ? [v2] : (multiplication(v1, v0) = v2 & addition(one, v2) = v1)) & ! [v0] : ! [v1] : ( ~ (star(v0) = v1) | ? [v2] : (multiplication(v0, v1) = v2 & addition(one, v2) = v1)) & ! [v0] : ! [v1] : ( ~ (addition(v0, v1) = v1) | leq(v0, v1)) & ( ~ leq(all_0_0_0, all_0_1_1) | ~ leq(all_0_1_1, all_0_0_0))
% 18.14/5.02 |
% 18.14/5.02 | Applying alpha-rule on (1) yields:
% 18.14/5.02 | (2) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (star(v2) = v1) | ~ (star(v2) = v0))
% 18.14/5.02 | (3) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (addition(v2, v3) = v4) | ~ (addition(v1, v0) = v3) | ? [v5] : (addition(v5, v0) = v4 & addition(v2, v1) = v5))
% 18.14/5.02 | (4) ! [v0] : ! [v1] : ( ~ (strong_iteration(v0) = v1) | ? [v2] : ? [v3] : (star(v0) = v2 & multiplication(v1, zero) = v3 & addition(v2, v3) = v1))
% 18.14/5.02 | (5) ! [v0] : ! [v1] : ! [v2] : ( ~ (star(v0) = v1) | ~ (multiplication(v0, v1) = v2) | addition(one, v2) = v1)
% 18.14/5.02 | (6) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (strong_iteration(v2) = v1) | ~ (strong_iteration(v2) = v0))
% 18.14/5.02 | (7) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (addition(v3, v2) = v1) | ~ (addition(v3, v2) = v0))
% 18.14/5.02 | (8) ! [v0] : ! [v1] : ! [v2] : ( ~ (strong_iteration(v0) = v1) | ~ (multiplication(v0, v1) = v2) | addition(v2, one) = v1)
% 18.14/5.02 | (9) addition(one, all_0_2_2) = all_0_0_0
% 18.14/5.02 | (10) ! [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))
% 18.14/5.02 | (11) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (addition(v0, v1) = v2) | ~ leq(v0, v1))
% 18.14/5.02 | (12) ! [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))
% 18.14/5.02 | (13) ! [v0] : ! [v1] : (v1 = v0 | ~ (multiplication(v0, one) = v1))
% 18.14/5.02 | (14) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (addition(v3, v0) = v4) | ~ (addition(v2, v1) = v3) | ? [v5] : (addition(v2, v5) = v4 & addition(v1, v0) = v5))
% 18.14/5.02 | (15) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v1 | ~ (strong_iteration(v0) = v1) | ~ (star(v0) = v2) | ~ (multiplication(v1, zero) = v3) | ~ (addition(v2, v3) = v4))
% 18.14/5.02 | (16) ! [v0] : ! [v1] : (v1 = zero | ~ (multiplication(zero, v0) = v1))
% 18.14/5.02 | (17) ! [v0] : ! [v1] : (v1 = v0 | ~ (addition(v0, zero) = v1))
% 18.14/5.02 | (18) ! [v0] : ! [v1] : ! [v2] : ( ~ (addition(v0, v1) = v2) | addition(v1, v0) = v2)
% 18.14/5.02 | (19) ! [v0] : ! [v1] : ! [v2] : ( ~ (addition(v1, v0) = v2) | addition(v0, v1) = v2)
% 18.14/5.02 | (20) ! [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))
% 18.14/5.02 | (21) ! [v0] : ! [v1] : ( ~ (star(v0) = v1) | ? [v2] : (multiplication(v1, v0) = v2 & addition(one, v2) = v1))
% 18.14/5.02 | (22) ! [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))
% 18.14/5.02 | (23) ! [v0] : ! [v1] : ( ~ (addition(v0, v1) = v1) | leq(v0, v1))
% 18.14/5.02 | (24) ! [v0] : ! [v1] : ( ~ (strong_iteration(v0) = v1) | ? [v2] : (multiplication(v0, v1) = v2 & addition(v2, one) = v1))
% 18.14/5.03 | (25) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v3, v2) = v4) | ~ (multiplication(v0, v1) = v3) | ? [v5] : (multiplication(v1, v2) = v5 & multiplication(v0, v5) = v4))
% 18.14/5.03 | (26) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v1, v2) = v3) | ~ (multiplication(v0, v3) = v4) | ? [v5] : (multiplication(v5, v2) = v4 & multiplication(v0, v1) = v5))
% 18.14/5.03 | (27) ! [v0] : ! [v1] : ( ~ (star(v0) = v1) | ? [v2] : (multiplication(v0, v1) = v2 & addition(one, v2) = v1))
% 18.14/5.03 | (28) ! [v0] : ! [v1] : (v1 = v0 | ~ (addition(v0, v0) = v1))
% 18.14/5.03 | (29) strong_iteration(all_0_2_2) = all_0_1_1
% 18.14/5.03 | (30) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v2, v0) = v3) | ~ (addition(v3, v1) = v4) | ~ leq(v4, v2) | ? [v5] : ? [v6] : (star(v0) = v5 & multiplication(v1, v5) = v6 & leq(v6, v2)))
% 18.14/5.03 | (31) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (multiplication(v3, v2) = v1) | ~ (multiplication(v3, v2) = v0))
% 18.14/5.03 | (32) ! [v0] : ! [v1] : ! [v2] : ( ~ (star(v0) = v1) | ~ (multiplication(v1, v0) = v2) | addition(one, v2) = v1)
% 18.14/5.03 | (33) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v0, v2) = v3) | ~ (addition(v3, v1) = v4) | ~ leq(v2, v4) | ? [v5] : ? [v6] : (strong_iteration(v0) = v5 & multiplication(v5, v1) = v6 & leq(v2, v6)))
% 18.14/5.03 | (34) multiplication(all_0_3_3, zero) = all_0_2_2
% 18.14/5.03 | (35) ! [v0] : ! [v1] : (v1 = v0 | ~ (multiplication(one, v0) = v1))
% 18.14/5.03 | (36) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (multiplication(v0, v2) = v3) | ~ (addition(v3, v1) = v4) | ~ leq(v4, v2) | ? [v5] : ? [v6] : (star(v0) = v5 & multiplication(v5, v1) = v6 & leq(v6, v2)))
% 18.14/5.03 | (37) ~ leq(all_0_0_0, all_0_1_1) | ~ leq(all_0_1_1, all_0_0_0)
% 18.14/5.03 |
% 18.14/5.03 | Instantiating formula (4) with all_0_1_1, all_0_2_2 and discharging atoms strong_iteration(all_0_2_2) = all_0_1_1, yields:
% 18.14/5.03 | (38) ? [v0] : ? [v1] : (star(all_0_2_2) = v0 & multiplication(all_0_1_1, zero) = v1 & addition(v0, v1) = all_0_1_1)
% 18.14/5.03 |
% 18.14/5.03 | Instantiating formula (24) with all_0_1_1, all_0_2_2 and discharging atoms strong_iteration(all_0_2_2) = all_0_1_1, yields:
% 18.14/5.03 | (39) ? [v0] : (multiplication(all_0_2_2, all_0_1_1) = v0 & addition(v0, one) = all_0_1_1)
% 18.14/5.03 |
% 18.14/5.03 | Instantiating formula (19) with all_0_0_0, one, all_0_2_2 and discharging atoms addition(one, all_0_2_2) = all_0_0_0, yields:
% 18.14/5.03 | (40) addition(all_0_2_2, one) = all_0_0_0
% 18.14/5.03 |
% 18.14/5.03 | Instantiating (38) with all_9_0_4, all_9_1_5 yields:
% 18.14/5.03 | (41) star(all_0_2_2) = all_9_1_5 & multiplication(all_0_1_1, zero) = all_9_0_4 & addition(all_9_1_5, all_9_0_4) = all_0_1_1
% 18.14/5.03 |
% 18.14/5.03 | Applying alpha-rule on (41) yields:
% 18.14/5.03 | (42) star(all_0_2_2) = all_9_1_5
% 18.14/5.03 | (43) multiplication(all_0_1_1, zero) = all_9_0_4
% 18.14/5.03 | (44) addition(all_9_1_5, all_9_0_4) = all_0_1_1
% 18.14/5.03 |
% 18.14/5.03 | Instantiating (39) with all_11_0_6 yields:
% 18.14/5.03 | (45) multiplication(all_0_2_2, all_0_1_1) = all_11_0_6 & addition(all_11_0_6, one) = all_0_1_1
% 18.14/5.03 |
% 18.14/5.03 | Applying alpha-rule on (45) yields:
% 18.14/5.03 | (46) multiplication(all_0_2_2, all_0_1_1) = all_11_0_6
% 18.14/5.03 | (47) addition(all_11_0_6, one) = all_0_1_1
% 18.14/5.03 |
% 18.14/5.03 | Instantiating formula (21) with all_9_1_5, all_0_2_2 and discharging atoms star(all_0_2_2) = all_9_1_5, yields:
% 18.14/5.03 | (48) ? [v0] : (multiplication(all_9_1_5, all_0_2_2) = v0 & addition(one, v0) = all_9_1_5)
% 18.14/5.03 |
% 18.14/5.03 | Instantiating formula (27) with all_9_1_5, all_0_2_2 and discharging atoms star(all_0_2_2) = all_9_1_5, yields:
% 18.14/5.03 | (49) ? [v0] : (multiplication(all_0_2_2, all_9_1_5) = v0 & addition(one, v0) = all_9_1_5)
% 18.14/5.03 |
% 18.14/5.03 | Instantiating formula (25) with all_11_0_6, all_0_2_2, all_0_1_1, zero, all_0_3_3 and discharging atoms multiplication(all_0_2_2, all_0_1_1) = all_11_0_6, multiplication(all_0_3_3, zero) = all_0_2_2, yields:
% 18.14/5.03 | (50) ? [v0] : (multiplication(all_0_3_3, v0) = all_11_0_6 & multiplication(zero, all_0_1_1) = v0)
% 18.14/5.03 |
% 18.14/5.03 | Instantiating formula (12) with all_9_0_4, all_0_1_1, zero, one, all_11_0_6 and discharging atoms multiplication(all_0_1_1, zero) = all_9_0_4, addition(all_11_0_6, one) = all_0_1_1, yields:
% 18.14/5.03 | (51) ? [v0] : ? [v1] : (multiplication(all_11_0_6, zero) = v0 & multiplication(one, zero) = v1 & addition(v0, v1) = all_9_0_4)
% 18.14/5.03 |
% 18.14/5.03 | Instantiating formula (22) with all_11_0_6, all_0_1_1, one, all_11_0_6, all_0_2_2 and discharging atoms multiplication(all_0_2_2, all_0_1_1) = all_11_0_6, addition(all_11_0_6, one) = all_0_1_1, yields:
% 18.14/5.03 | (52) ? [v0] : ? [v1] : (multiplication(all_0_2_2, all_11_0_6) = v0 & multiplication(all_0_2_2, one) = v1 & addition(v0, v1) = all_11_0_6)
% 18.14/5.03 |
% 18.14/5.03 | Instantiating formula (19) with all_0_1_1, all_11_0_6, one and discharging atoms addition(all_11_0_6, one) = all_0_1_1, yields:
% 18.14/5.03 | (53) addition(one, all_11_0_6) = all_0_1_1
% 18.14/5.03 |
% 18.14/5.03 | Instantiating formula (12) with all_9_0_4, all_0_1_1, zero, all_9_0_4, all_9_1_5 and discharging atoms multiplication(all_0_1_1, zero) = all_9_0_4, addition(all_9_1_5, all_9_0_4) = all_0_1_1, yields:
% 18.14/5.03 | (54) ? [v0] : ? [v1] : (multiplication(all_9_0_4, zero) = v1 & multiplication(all_9_1_5, zero) = v0 & addition(v0, v1) = all_9_0_4)
% 18.14/5.03 |
% 18.14/5.03 | Instantiating formula (22) with all_11_0_6, all_0_1_1, all_9_0_4, all_9_1_5, all_0_2_2 and discharging atoms multiplication(all_0_2_2, all_0_1_1) = all_11_0_6, addition(all_9_1_5, all_9_0_4) = all_0_1_1, yields:
% 18.14/5.03 | (55) ? [v0] : ? [v1] : (multiplication(all_0_2_2, all_9_0_4) = v1 & multiplication(all_0_2_2, all_9_1_5) = v0 & addition(v0, v1) = all_11_0_6)
% 18.14/5.03 |
% 18.14/5.03 | Instantiating formula (19) with all_0_1_1, all_9_1_5, all_9_0_4 and discharging atoms addition(all_9_1_5, all_9_0_4) = all_0_1_1, yields:
% 18.14/5.03 | (56) addition(all_9_0_4, all_9_1_5) = all_0_1_1
% 18.14/5.03 |
% 18.14/5.03 | Instantiating (52) with all_19_0_7, all_19_1_8 yields:
% 18.14/5.03 | (57) multiplication(all_0_2_2, all_11_0_6) = all_19_1_8 & multiplication(all_0_2_2, one) = all_19_0_7 & addition(all_19_1_8, all_19_0_7) = all_11_0_6
% 18.14/5.03 |
% 18.14/5.03 | Applying alpha-rule on (57) yields:
% 18.14/5.03 | (58) multiplication(all_0_2_2, all_11_0_6) = all_19_1_8
% 18.14/5.03 | (59) multiplication(all_0_2_2, one) = all_19_0_7
% 18.14/5.04 | (60) addition(all_19_1_8, all_19_0_7) = all_11_0_6
% 18.14/5.04 |
% 18.14/5.04 | Instantiating (55) with all_21_0_9, all_21_1_10 yields:
% 18.14/5.04 | (61) multiplication(all_0_2_2, all_9_0_4) = all_21_0_9 & multiplication(all_0_2_2, all_9_1_5) = all_21_1_10 & addition(all_21_1_10, all_21_0_9) = all_11_0_6
% 18.14/5.04 |
% 18.14/5.04 | Applying alpha-rule on (61) yields:
% 18.14/5.04 | (62) multiplication(all_0_2_2, all_9_0_4) = all_21_0_9
% 18.14/5.04 | (63) multiplication(all_0_2_2, all_9_1_5) = all_21_1_10
% 18.14/5.04 | (64) addition(all_21_1_10, all_21_0_9) = all_11_0_6
% 18.14/5.04 |
% 18.14/5.04 | Instantiating (51) with all_23_0_11, all_23_1_12 yields:
% 18.14/5.04 | (65) multiplication(all_11_0_6, zero) = all_23_1_12 & multiplication(one, zero) = all_23_0_11 & addition(all_23_1_12, all_23_0_11) = all_9_0_4
% 18.14/5.04 |
% 18.14/5.04 | Applying alpha-rule on (65) yields:
% 18.14/5.04 | (66) multiplication(all_11_0_6, zero) = all_23_1_12
% 18.14/5.04 | (67) multiplication(one, zero) = all_23_0_11
% 18.14/5.04 | (68) addition(all_23_1_12, all_23_0_11) = all_9_0_4
% 18.14/5.04 |
% 18.14/5.04 | Instantiating (54) with all_25_0_13, all_25_1_14 yields:
% 18.14/5.04 | (69) multiplication(all_9_0_4, zero) = all_25_0_13 & multiplication(all_9_1_5, zero) = all_25_1_14 & addition(all_25_1_14, all_25_0_13) = all_9_0_4
% 18.14/5.04 |
% 18.14/5.04 | Applying alpha-rule on (69) yields:
% 18.14/5.04 | (70) multiplication(all_9_0_4, zero) = all_25_0_13
% 18.14/5.04 | (71) multiplication(all_9_1_5, zero) = all_25_1_14
% 18.14/5.04 | (72) addition(all_25_1_14, all_25_0_13) = all_9_0_4
% 18.14/5.04 |
% 18.14/5.04 | Instantiating (50) with all_27_0_15 yields:
% 18.14/5.04 | (73) multiplication(all_0_3_3, all_27_0_15) = all_11_0_6 & multiplication(zero, all_0_1_1) = all_27_0_15
% 18.14/5.04 |
% 18.14/5.04 | Applying alpha-rule on (73) yields:
% 18.14/5.04 | (74) multiplication(all_0_3_3, all_27_0_15) = all_11_0_6
% 18.14/5.04 | (75) multiplication(zero, all_0_1_1) = all_27_0_15
% 18.14/5.04 |
% 18.14/5.04 | Instantiating (49) with all_29_0_16 yields:
% 18.14/5.04 | (76) multiplication(all_0_2_2, all_9_1_5) = all_29_0_16 & addition(one, all_29_0_16) = all_9_1_5
% 18.14/5.04 |
% 18.14/5.04 | Applying alpha-rule on (76) yields:
% 18.14/5.04 | (77) multiplication(all_0_2_2, all_9_1_5) = all_29_0_16
% 18.14/5.04 | (78) addition(one, all_29_0_16) = all_9_1_5
% 18.14/5.04 |
% 18.14/5.04 | Instantiating (48) with all_31_0_17 yields:
% 18.14/5.04 | (79) multiplication(all_9_1_5, all_0_2_2) = all_31_0_17 & addition(one, all_31_0_17) = all_9_1_5
% 18.14/5.04 |
% 18.14/5.04 | Applying alpha-rule on (79) yields:
% 18.14/5.04 | (80) multiplication(all_9_1_5, all_0_2_2) = all_31_0_17
% 18.14/5.04 | (81) addition(one, all_31_0_17) = all_9_1_5
% 18.14/5.04 |
% 18.14/5.04 | Instantiating formula (31) with all_0_2_2, all_9_1_5, all_21_1_10, all_29_0_16 and discharging atoms multiplication(all_0_2_2, all_9_1_5) = all_29_0_16, multiplication(all_0_2_2, all_9_1_5) = all_21_1_10, yields:
% 18.14/5.04 | (82) all_29_0_16 = all_21_1_10
% 18.14/5.04 |
% 18.14/5.04 | Instantiating formula (13) with all_19_0_7, all_0_2_2 and discharging atoms multiplication(all_0_2_2, one) = all_19_0_7, yields:
% 18.14/5.04 | (83) all_19_0_7 = all_0_2_2
% 18.14/5.04 |
% 18.14/5.04 | Instantiating formula (35) with all_23_0_11, zero and discharging atoms multiplication(one, zero) = all_23_0_11, yields:
% 18.14/5.04 | (84) all_23_0_11 = zero
% 18.14/5.04 |
% 18.14/5.04 | Instantiating formula (16) with all_27_0_15, all_0_1_1 and discharging atoms multiplication(zero, all_0_1_1) = all_27_0_15, yields:
% 18.14/5.04 | (85) all_27_0_15 = zero
% 18.14/5.04 |
% 18.14/5.04 | From (82) and (77) follows:
% 18.14/5.04 | (63) multiplication(all_0_2_2, all_9_1_5) = all_21_1_10
% 18.14/5.04 |
% 18.14/5.04 | From (83) and (59) follows:
% 18.14/5.04 | (87) multiplication(all_0_2_2, one) = all_0_2_2
% 18.14/5.04 |
% 18.14/5.04 | From (85) and (74) follows:
% 18.14/5.04 | (88) multiplication(all_0_3_3, zero) = all_11_0_6
% 18.14/5.04 |
% 18.14/5.04 | From (84) and (67) follows:
% 18.14/5.04 | (89) multiplication(one, zero) = zero
% 18.14/5.04 |
% 18.14/5.04 | From (85) and (75) follows:
% 18.14/5.04 | (90) multiplication(zero, all_0_1_1) = zero
% 18.14/5.04 |
% 18.14/5.04 | From (84) and (68) follows:
% 18.14/5.04 | (91) addition(all_23_1_12, zero) = all_9_0_4
% 18.14/5.04 |
% 18.14/5.04 | From (83) and (60) follows:
% 18.14/5.04 | (92) addition(all_19_1_8, all_0_2_2) = all_11_0_6
% 18.14/5.04 |
% 18.14/5.04 | From (82) and (78) follows:
% 18.14/5.04 | (93) addition(one, all_21_1_10) = all_9_1_5
% 18.14/5.04 |
% 18.14/5.04 | Instantiating formula (31) with all_0_3_3, zero, all_11_0_6, all_0_2_2 and discharging atoms multiplication(all_0_3_3, zero) = all_11_0_6, multiplication(all_0_3_3, zero) = all_0_2_2, yields:
% 18.14/5.04 | (94) all_11_0_6 = all_0_2_2
% 18.14/5.04 |
% 18.14/5.04 | Instantiating formula (17) with all_9_0_4, all_23_1_12 and discharging atoms addition(all_23_1_12, zero) = all_9_0_4, yields:
% 18.14/5.04 | (95) all_23_1_12 = all_9_0_4
% 18.14/5.04 |
% 18.14/5.04 | From (94)(95) and (66) follows:
% 18.14/5.04 | (96) multiplication(all_0_2_2, zero) = all_9_0_4
% 18.14/5.04 |
% 18.14/5.04 | From (94) and (58) follows:
% 18.14/5.04 | (97) multiplication(all_0_2_2, all_0_2_2) = all_19_1_8
% 18.14/5.04 |
% 18.14/5.04 | From (94) and (46) follows:
% 18.14/5.04 | (98) multiplication(all_0_2_2, all_0_1_1) = all_0_2_2
% 18.14/5.04 |
% 18.14/5.04 | From (94) and (88) follows:
% 18.14/5.04 | (34) multiplication(all_0_3_3, zero) = all_0_2_2
% 18.14/5.04 |
% 18.14/5.04 | From (95) and (91) follows:
% 18.14/5.04 | (100) addition(all_9_0_4, zero) = all_9_0_4
% 18.14/5.04 |
% 18.14/5.04 | From (94) and (64) follows:
% 18.14/5.05 | (101) addition(all_21_1_10, all_21_0_9) = all_0_2_2
% 18.14/5.05 |
% 18.14/5.05 | From (94) and (92) follows:
% 18.14/5.05 | (102) addition(all_19_1_8, all_0_2_2) = all_0_2_2
% 18.14/5.05 |
% 18.14/5.05 | From (94) and (53) follows:
% 18.14/5.05 | (103) addition(one, all_0_2_2) = all_0_1_1
% 18.14/5.05 |
% 18.14/5.05 | Instantiating formula (7) with one, all_0_2_2, all_0_1_1, all_0_0_0 and discharging atoms addition(one, all_0_2_2) = all_0_0_0, addition(one, all_0_2_2) = all_0_1_1, yields:
% 18.14/5.05 | (104) all_0_0_0 = all_0_1_1
% 18.14/5.05 |
% 18.14/5.05 | From (104) and (40) follows:
% 18.14/5.05 | (105) addition(all_0_2_2, one) = all_0_1_1
% 18.14/5.05 |
% 18.14/5.05 | From (104) and (9) follows:
% 18.14/5.05 | (103) addition(one, all_0_2_2) = all_0_1_1
% 18.14/5.05 |
% 18.14/5.05 +-Applying beta-rule and splitting (37), into two cases.
% 18.14/5.05 |-Branch one:
% 18.14/5.05 | (107) ~ leq(all_0_0_0, all_0_1_1)
% 18.14/5.05 |
% 18.14/5.05 | From (104) and (107) follows:
% 18.14/5.05 | (108) ~ leq(all_0_1_1, all_0_1_1)
% 18.14/5.05 |
% 18.14/5.05 | Instantiating formula (25) with all_25_0_13, all_9_0_4, zero, zero, all_0_1_1 and discharging atoms multiplication(all_9_0_4, zero) = all_25_0_13, multiplication(all_0_1_1, zero) = all_9_0_4, yields:
% 18.14/5.05 | (109) ? [v0] : (multiplication(all_0_1_1, v0) = all_25_0_13 & multiplication(zero, zero) = v0)
% 18.14/5.05 |
% 18.14/5.05 | Instantiating formula (25) with all_21_0_9, all_0_2_2, all_9_0_4, zero, all_0_3_3 and discharging atoms multiplication(all_0_2_2, all_9_0_4) = all_21_0_9, multiplication(all_0_3_3, zero) = all_0_2_2, yields:
% 18.14/5.05 | (110) ? [v0] : (multiplication(all_0_3_3, v0) = all_21_0_9 & multiplication(zero, all_9_0_4) = v0)
% 18.14/5.05 |
% 18.14/5.05 | Instantiating formula (25) with all_21_1_10, all_0_2_2, all_9_1_5, zero, all_0_3_3 and discharging atoms multiplication(all_0_2_2, all_9_1_5) = all_21_1_10, multiplication(all_0_3_3, zero) = all_0_2_2, yields:
% 18.14/5.05 | (111) ? [v0] : (multiplication(all_0_3_3, v0) = all_21_1_10 & multiplication(zero, all_9_1_5) = v0)
% 18.14/5.05 |
% 18.14/5.05 | Instantiating formula (26) with all_31_0_17, all_0_2_2, all_0_1_1, all_0_2_2, all_9_1_5 and discharging atoms multiplication(all_9_1_5, all_0_2_2) = all_31_0_17, multiplication(all_0_2_2, all_0_1_1) = all_0_2_2, yields:
% 18.14/5.05 | (112) ? [v0] : (multiplication(v0, all_0_1_1) = all_31_0_17 & multiplication(all_9_1_5, all_0_2_2) = v0)
% 18.14/5.05 |
% 18.14/5.05 | Instantiating formula (25) with all_21_1_10, all_0_2_2, all_9_1_5, all_0_1_1, all_0_2_2 and discharging atoms multiplication(all_0_2_2, all_9_1_5) = all_21_1_10, multiplication(all_0_2_2, all_0_1_1) = all_0_2_2, yields:
% 18.14/5.05 | (113) ? [v0] : (multiplication(all_0_1_1, all_9_1_5) = v0 & multiplication(all_0_2_2, v0) = all_21_1_10)
% 18.14/5.05 |
% 18.14/5.05 | Instantiating formula (25) with all_0_2_2, all_0_2_2, 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_0_2_2, yields:
% 18.14/5.05 | (114) ? [v0] : (multiplication(all_0_1_1, all_0_1_1) = v0 & multiplication(all_0_2_2, v0) = all_0_2_2)
% 18.14/5.05 |
% 18.14/5.05 | Instantiating formula (25) with all_19_1_8, all_0_2_2, all_0_2_2, zero, all_0_3_3 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_19_1_8, multiplication(all_0_3_3, zero) = all_0_2_2, yields:
% 18.14/5.05 | (115) ? [v0] : (multiplication(all_0_3_3, v0) = all_19_1_8 & multiplication(zero, all_0_2_2) = v0)
% 18.14/5.05 |
% 18.14/5.05 | Instantiating formula (26) with all_19_1_8, all_0_2_2, all_0_1_1, all_0_2_2, all_0_2_2 and discharging atoms multiplication(all_0_2_2, all_0_1_1) = all_0_2_2, multiplication(all_0_2_2, all_0_2_2) = all_19_1_8, yields:
% 18.14/5.05 | (116) ? [v0] : (multiplication(v0, all_0_1_1) = all_19_1_8 & multiplication(all_0_2_2, all_0_2_2) = v0)
% 18.14/5.05 |
% 18.14/5.05 | Instantiating formula (25) with all_0_2_2, all_0_2_2, one, zero, all_0_3_3 and discharging atoms multiplication(all_0_2_2, one) = all_0_2_2, multiplication(all_0_3_3, zero) = all_0_2_2, yields:
% 18.14/5.05 | (117) ? [v0] : (multiplication(all_0_3_3, v0) = all_0_2_2 & multiplication(zero, one) = v0)
% 18.14/5.05 |
% 18.14/5.05 | Instantiating formula (26) with all_31_0_17, all_0_2_2, one, all_0_2_2, all_9_1_5 and discharging atoms multiplication(all_9_1_5, all_0_2_2) = all_31_0_17, multiplication(all_0_2_2, one) = all_0_2_2, yields:
% 18.14/5.05 | (118) ? [v0] : (multiplication(v0, one) = all_31_0_17 & multiplication(all_9_1_5, all_0_2_2) = v0)
% 18.14/5.05 |
% 18.14/5.05 | Instantiating formula (25) with all_21_0_9, all_0_2_2, all_9_0_4, one, all_0_2_2 and discharging atoms multiplication(all_0_2_2, all_9_0_4) = all_21_0_9, multiplication(all_0_2_2, one) = all_0_2_2, yields:
% 18.14/5.05 | (119) ? [v0] : (multiplication(all_0_2_2, v0) = all_21_0_9 & multiplication(one, all_9_0_4) = v0)
% 18.14/5.05 |
% 18.14/5.05 | Instantiating formula (25) with all_21_1_10, all_0_2_2, all_9_1_5, one, all_0_2_2 and discharging atoms multiplication(all_0_2_2, all_9_1_5) = all_21_1_10, multiplication(all_0_2_2, one) = all_0_2_2, yields:
% 18.14/5.05 | (120) ? [v0] : (multiplication(all_0_2_2, v0) = all_21_1_10 & multiplication(one, all_9_1_5) = v0)
% 18.14/5.05 |
% 18.14/5.05 | Instantiating formula (25) with all_19_1_8, all_0_2_2, all_0_2_2, one, all_0_2_2 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_19_1_8, multiplication(all_0_2_2, one) = all_0_2_2, yields:
% 18.14/5.05 | (121) ? [v0] : (multiplication(all_0_2_2, v0) = all_19_1_8 & multiplication(one, all_0_2_2) = v0)
% 18.14/5.05 |
% 18.14/5.05 | Instantiating formula (26) with all_19_1_8, all_0_2_2, one, all_0_2_2, all_0_2_2 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_19_1_8, multiplication(all_0_2_2, one) = all_0_2_2, yields:
% 18.14/5.05 | (122) ? [v0] : (multiplication(v0, one) = all_19_1_8 & multiplication(all_0_2_2, all_0_2_2) = v0)
% 18.14/5.05 |
% 18.14/5.05 | Instantiating formula (25) with all_9_0_4, all_0_2_2, zero, zero, all_0_3_3 and discharging atoms multiplication(all_0_2_2, zero) = all_9_0_4, multiplication(all_0_3_3, zero) = all_0_2_2, yields:
% 18.14/5.05 | (123) ? [v0] : (multiplication(all_0_3_3, v0) = all_9_0_4 & multiplication(zero, zero) = v0)
% 18.14/5.05 |
% 18.14/5.05 | Instantiating formula (25) with all_25_0_13, all_9_0_4, zero, zero, all_0_2_2 and discharging atoms multiplication(all_9_0_4, zero) = all_25_0_13, multiplication(all_0_2_2, zero) = all_9_0_4, yields:
% 18.14/5.05 | (124) ? [v0] : (multiplication(all_0_2_2, v0) = all_25_0_13 & multiplication(zero, zero) = v0)
% 18.14/5.05 |
% 18.14/5.05 | Instantiating formula (26) with all_21_0_9, all_9_0_4, zero, all_0_2_2, all_0_2_2 and discharging atoms multiplication(all_0_2_2, all_9_0_4) = all_21_0_9, multiplication(all_0_2_2, zero) = all_9_0_4, yields:
% 18.14/5.05 | (125) ? [v0] : (multiplication(v0, zero) = all_21_0_9 & multiplication(all_0_2_2, all_0_2_2) = v0)
% 18.14/5.05 |
% 18.14/5.05 | Instantiating formula (26) with all_25_1_14, zero, zero, one, all_9_1_5 and discharging atoms multiplication(all_9_1_5, zero) = all_25_1_14, multiplication(one, zero) = zero, yields:
% 18.14/5.05 | (126) ? [v0] : (multiplication(v0, zero) = all_25_1_14 & multiplication(all_9_1_5, one) = v0)
% 18.14/5.05 |
% 18.14/5.05 | Instantiating formula (26) with all_25_1_14, zero, all_0_1_1, zero, all_9_1_5 and discharging atoms multiplication(all_9_1_5, zero) = all_25_1_14, multiplication(zero, all_0_1_1) = zero, yields:
% 18.14/5.05 | (127) ? [v0] : (multiplication(v0, all_0_1_1) = all_25_1_14 & multiplication(all_9_1_5, zero) = v0)
% 18.14/5.05 |
% 18.14/5.05 | Instantiating formula (26) with all_9_0_4, zero, all_0_1_1, zero, all_0_2_2 and discharging atoms multiplication(all_0_2_2, zero) = all_9_0_4, multiplication(zero, all_0_1_1) = zero, yields:
% 18.14/5.06 | (128) ? [v0] : (multiplication(v0, all_0_1_1) = all_9_0_4 & multiplication(all_0_2_2, zero) = v0)
% 18.14/5.06 |
% 18.14/5.06 | Instantiating formula (25) with zero, zero, all_0_1_1, all_0_1_1, zero and discharging atoms multiplication(zero, all_0_1_1) = zero, yields:
% 18.14/5.06 | (129) ? [v0] : (multiplication(all_0_1_1, all_0_1_1) = v0 & multiplication(zero, v0) = zero)
% 18.14/5.06 |
% 18.14/5.06 | Instantiating formula (22) with zero, all_0_1_1, all_9_0_4, all_9_1_5, zero and discharging atoms multiplication(zero, all_0_1_1) = zero, addition(all_9_1_5, all_9_0_4) = all_0_1_1, yields:
% 18.14/5.06 | (130) ? [v0] : ? [v1] : (multiplication(zero, all_9_0_4) = v1 & multiplication(zero, all_9_1_5) = v0 & addition(v0, v1) = zero)
% 18.14/5.06 |
% 18.14/5.06 | Instantiating formula (12) with all_25_0_13, all_9_0_4, zero, all_25_0_13, all_25_1_14 and discharging atoms multiplication(all_9_0_4, zero) = all_25_0_13, addition(all_25_1_14, all_25_0_13) = all_9_0_4, yields:
% 18.14/5.06 | (131) ? [v0] : ? [v1] : (multiplication(all_25_0_13, zero) = v1 & multiplication(all_25_1_14, zero) = v0 & addition(v0, v1) = all_25_0_13)
% 18.14/5.06 |
% 18.14/5.06 | Instantiating formula (22) with all_21_0_9, all_9_0_4, all_25_0_13, all_25_1_14, all_0_2_2 and discharging atoms multiplication(all_0_2_2, all_9_0_4) = all_21_0_9, addition(all_25_1_14, all_25_0_13) = all_9_0_4, yields:
% 18.14/5.06 | (132) ? [v0] : ? [v1] : (multiplication(all_0_2_2, all_25_0_13) = v1 & multiplication(all_0_2_2, all_25_1_14) = v0 & addition(v0, v1) = all_21_0_9)
% 18.14/5.06 |
% 18.14/5.06 | Instantiating formula (3) with all_0_1_1, all_9_0_4, all_9_1_5, all_25_1_14, all_25_0_13 and discharging atoms addition(all_25_1_14, all_25_0_13) = all_9_0_4, addition(all_9_1_5, all_9_0_4) = all_0_1_1, yields:
% 18.14/5.06 | (133) ? [v0] : (addition(v0, all_25_0_13) = all_0_1_1 & addition(all_9_1_5, all_25_1_14) = v0)
% 18.14/5.06 |
% 18.14/5.06 | Instantiating formula (12) with all_21_0_9, all_0_2_2, all_9_0_4, all_21_0_9, all_21_1_10 and discharging atoms multiplication(all_0_2_2, all_9_0_4) = all_21_0_9, addition(all_21_1_10, all_21_0_9) = all_0_2_2, yields:
% 18.14/5.06 | (134) ? [v0] : ? [v1] : (multiplication(all_21_0_9, all_9_0_4) = v1 & multiplication(all_21_1_10, all_9_0_4) = v0 & addition(v0, v1) = all_21_0_9)
% 18.14/5.06 |
% 18.14/5.06 | Instantiating formula (12) with all_19_1_8, all_0_2_2, all_0_2_2, all_21_0_9, all_21_1_10 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_19_1_8, addition(all_21_1_10, all_21_0_9) = all_0_2_2, yields:
% 18.14/5.06 | (135) ? [v0] : ? [v1] : (multiplication(all_21_0_9, all_0_2_2) = v1 & multiplication(all_21_1_10, all_0_2_2) = v0 & addition(v0, v1) = all_19_1_8)
% 18.14/5.06 |
% 18.14/5.06 | Instantiating formula (22) with all_19_1_8, all_0_2_2, all_21_0_9, all_21_1_10, all_0_2_2 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_19_1_8, addition(all_21_1_10, all_21_0_9) = all_0_2_2, yields:
% 18.14/5.06 | (136) ? [v0] : ? [v1] : (multiplication(all_0_2_2, all_21_0_9) = v1 & multiplication(all_0_2_2, all_21_1_10) = v0 & addition(v0, v1) = all_19_1_8)
% 18.14/5.06 |
% 18.14/5.06 | Instantiating formula (12) with all_9_0_4, all_0_2_2, zero, all_21_0_9, all_21_1_10 and discharging atoms multiplication(all_0_2_2, zero) = all_9_0_4, addition(all_21_1_10, all_21_0_9) = all_0_2_2, yields:
% 18.14/5.06 | (137) ? [v0] : ? [v1] : (multiplication(all_21_0_9, zero) = v1 & multiplication(all_21_1_10, zero) = v0 & addition(v0, v1) = all_9_0_4)
% 18.14/5.06 |
% 18.14/5.06 | Instantiating formula (22) with all_31_0_17, all_0_2_2, all_0_2_2, all_19_1_8, all_9_1_5 and discharging atoms multiplication(all_9_1_5, all_0_2_2) = all_31_0_17, addition(all_19_1_8, all_0_2_2) = all_0_2_2, yields:
% 18.14/5.06 | (138) ? [v0] : ? [v1] : (multiplication(all_9_1_5, all_19_1_8) = v0 & multiplication(all_9_1_5, all_0_2_2) = v1 & addition(v0, v1) = all_31_0_17)
% 18.14/5.06 |
% 18.14/5.06 | Instantiating formula (12) with all_21_0_9, all_0_2_2, all_9_0_4, all_0_2_2, all_19_1_8 and discharging atoms multiplication(all_0_2_2, all_9_0_4) = all_21_0_9, addition(all_19_1_8, all_0_2_2) = all_0_2_2, yields:
% 18.14/5.06 | (139) ? [v0] : ? [v1] : (multiplication(all_19_1_8, all_9_0_4) = v0 & multiplication(all_0_2_2, all_9_0_4) = v1 & addition(v0, v1) = all_21_0_9)
% 18.14/5.06 |
% 18.14/5.06 | Instantiating formula (12) with all_19_1_8, all_0_2_2, all_0_2_2, all_0_2_2, all_19_1_8 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_19_1_8, addition(all_19_1_8, all_0_2_2) = all_0_2_2, yields:
% 18.14/5.06 | (140) ? [v0] : ? [v1] : (multiplication(all_19_1_8, all_0_2_2) = v0 & multiplication(all_0_2_2, all_0_2_2) = v1 & addition(v0, v1) = all_19_1_8)
% 18.14/5.06 |
% 18.14/5.06 | Instantiating formula (22) with all_19_1_8, all_0_2_2, all_0_2_2, all_19_1_8, all_0_2_2 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_19_1_8, addition(all_19_1_8, all_0_2_2) = all_0_2_2, yields:
% 18.14/5.06 | (141) ? [v0] : ? [v1] : (multiplication(all_0_2_2, all_19_1_8) = v0 & multiplication(all_0_2_2, all_0_2_2) = v1 & addition(v0, v1) = all_19_1_8)
% 18.14/5.06 |
% 18.14/5.06 | Instantiating formula (12) with all_9_0_4, all_0_2_2, zero, all_0_2_2, all_19_1_8 and discharging atoms multiplication(all_0_2_2, zero) = all_9_0_4, addition(all_19_1_8, all_0_2_2) = all_0_2_2, yields:
% 18.14/5.06 | (142) ? [v0] : ? [v1] : (multiplication(all_19_1_8, zero) = v0 & multiplication(all_0_2_2, zero) = v1 & addition(v0, v1) = all_9_0_4)
% 18.14/5.06 |
% 18.14/5.06 | Instantiating formula (12) with all_9_0_4, all_0_1_1, zero, all_9_1_5, all_9_0_4 and discharging atoms multiplication(all_0_1_1, zero) = all_9_0_4, addition(all_9_0_4, all_9_1_5) = all_0_1_1, yields:
% 18.14/5.06 | (143) ? [v0] : ? [v1] : (multiplication(all_9_0_4, zero) = v0 & multiplication(all_9_1_5, zero) = v1 & addition(v0, v1) = all_9_0_4)
% 18.14/5.06 |
% 18.14/5.06 | Instantiating formula (22) with zero, all_0_1_1, all_9_1_5, all_9_0_4, zero and discharging atoms multiplication(zero, all_0_1_1) = zero, addition(all_9_0_4, all_9_1_5) = all_0_1_1, yields:
% 18.14/5.06 | (144) ? [v0] : ? [v1] : (multiplication(zero, all_9_0_4) = v0 & multiplication(zero, all_9_1_5) = v1 & addition(v0, v1) = zero)
% 18.14/5.06 |
% 18.14/5.06 | Instantiating formula (14) with all_0_1_1, all_9_0_4, all_25_1_14, all_25_0_13, all_9_1_5 and discharging atoms addition(all_25_1_14, all_25_0_13) = all_9_0_4, addition(all_9_0_4, all_9_1_5) = all_0_1_1, yields:
% 18.14/5.06 | (145) ? [v0] : (addition(all_25_0_13, all_9_1_5) = v0 & addition(all_25_1_14, v0) = all_0_1_1)
% 18.14/5.06 |
% 18.14/5.06 | Instantiating formula (12) with all_25_0_13, all_9_0_4, zero, zero, all_9_0_4 and discharging atoms multiplication(all_9_0_4, zero) = all_25_0_13, addition(all_9_0_4, zero) = all_9_0_4, yields:
% 18.14/5.06 | (146) ? [v0] : ? [v1] : (multiplication(all_9_0_4, zero) = v0 & multiplication(zero, zero) = v1 & addition(v0, v1) = all_25_0_13)
% 18.14/5.06 |
% 18.14/5.06 | Instantiating formula (22) with all_21_0_9, all_9_0_4, zero, all_9_0_4, all_0_2_2 and discharging atoms multiplication(all_0_2_2, all_9_0_4) = all_21_0_9, addition(all_9_0_4, zero) = all_9_0_4, yields:
% 18.14/5.06 | (147) ? [v0] : ? [v1] : (multiplication(all_0_2_2, all_9_0_4) = v0 & multiplication(all_0_2_2, zero) = v1 & addition(v0, v1) = all_21_0_9)
% 18.14/5.06 |
% 18.14/5.06 | Instantiating formula (20) with all_9_0_4, zero, all_9_0_4, zero, one, all_0_1_1 and discharging atoms multiplication(all_0_1_1, zero) = all_9_0_4, multiplication(one, zero) = zero, addition(all_9_0_4, zero) = all_9_0_4, yields:
% 18.14/5.06 | (148) ? [v0] : (multiplication(v0, zero) = all_9_0_4 & addition(all_0_1_1, one) = v0)
% 18.14/5.06 |
% 18.14/5.06 | Instantiating formula (3) with all_0_1_1, all_9_0_4, all_9_1_5, all_9_0_4, zero and discharging atoms addition(all_9_0_4, zero) = all_9_0_4, addition(all_9_1_5, all_9_0_4) = all_0_1_1, yields:
% 18.14/5.07 | (149) ? [v0] : (addition(v0, zero) = all_0_1_1 & addition(all_9_1_5, all_9_0_4) = v0)
% 18.14/5.07 |
% 18.14/5.07 | Instantiating formula (14) with all_0_1_1, all_9_0_4, all_9_0_4, zero, all_9_1_5 and discharging atoms addition(all_9_0_4, all_9_1_5) = all_0_1_1, addition(all_9_0_4, zero) = all_9_0_4, yields:
% 18.14/5.07 | (150) ? [v0] : (addition(all_9_0_4, v0) = all_0_1_1 & addition(zero, all_9_1_5) = v0)
% 18.14/5.07 |
% 18.14/5.07 | Instantiating formula (14) with all_9_0_4, all_9_0_4, all_9_0_4, zero, zero and discharging atoms addition(all_9_0_4, zero) = all_9_0_4, yields:
% 18.14/5.07 | (151) ? [v0] : (addition(all_9_0_4, v0) = all_9_0_4 & addition(zero, zero) = v0)
% 18.14/5.07 |
% 18.14/5.07 | Instantiating formula (22) with zero, all_0_1_1, one, all_0_2_2, zero and discharging atoms multiplication(zero, all_0_1_1) = zero, addition(all_0_2_2, one) = all_0_1_1, yields:
% 18.14/5.07 | (152) ? [v0] : ? [v1] : (multiplication(zero, all_0_2_2) = v0 & multiplication(zero, one) = v1 & addition(v0, v1) = zero)
% 18.14/5.07 |
% 18.14/5.07 | Instantiating formula (14) with all_0_1_1, all_0_2_2, all_21_1_10, all_21_0_9, one and discharging atoms addition(all_21_1_10, all_21_0_9) = all_0_2_2, addition(all_0_2_2, one) = all_0_1_1, yields:
% 18.14/5.07 | (153) ? [v0] : (addition(all_21_0_9, one) = v0 & addition(all_21_1_10, v0) = all_0_1_1)
% 18.14/5.07 |
% 18.14/5.07 | Instantiating formula (14) with all_0_1_1, all_0_2_2, all_19_1_8, all_0_2_2, one and discharging atoms addition(all_19_1_8, all_0_2_2) = all_0_2_2, addition(all_0_2_2, one) = all_0_1_1, yields:
% 18.14/5.07 | (154) ? [v0] : (addition(all_19_1_8, v0) = all_0_1_1 & addition(all_0_2_2, one) = v0)
% 18.14/5.07 |
% 18.14/5.07 | Instantiating formula (12) with all_31_0_17, all_9_1_5, all_0_2_2, all_31_0_17, one and discharging atoms multiplication(all_9_1_5, all_0_2_2) = all_31_0_17, addition(one, all_31_0_17) = all_9_1_5, yields:
% 18.14/5.07 | (155) ? [v0] : ? [v1] : (multiplication(all_31_0_17, all_0_2_2) = v1 & multiplication(one, all_0_2_2) = v0 & addition(v0, v1) = all_31_0_17)
% 18.14/5.07 |
% 18.14/5.07 | Instantiating formula (12) with all_25_1_14, all_9_1_5, zero, all_31_0_17, one and discharging atoms multiplication(all_9_1_5, zero) = all_25_1_14, addition(one, all_31_0_17) = all_9_1_5, yields:
% 18.14/5.07 | (156) ? [v0] : ? [v1] : (multiplication(all_31_0_17, zero) = v1 & multiplication(one, zero) = v0 & addition(v0, v1) = all_25_1_14)
% 18.14/5.07 |
% 18.14/5.07 | Instantiating formula (14) with all_0_1_1, all_9_1_5, one, all_31_0_17, all_9_0_4 and discharging atoms addition(all_9_1_5, all_9_0_4) = all_0_1_1, addition(one, all_31_0_17) = all_9_1_5, yields:
% 18.14/5.07 | (157) ? [v0] : (addition(all_31_0_17, all_9_0_4) = v0 & addition(one, v0) = all_0_1_1)
% 18.14/5.07 |
% 18.14/5.07 | Instantiating formula (3) with all_0_1_1, all_9_1_5, all_9_0_4, one, all_31_0_17 and discharging atoms addition(all_9_0_4, all_9_1_5) = all_0_1_1, addition(one, all_31_0_17) = all_9_1_5, yields:
% 18.14/5.07 | (158) ? [v0] : (addition(v0, all_31_0_17) = all_0_1_1 & addition(all_9_0_4, one) = v0)
% 18.14/5.07 |
% 18.14/5.07 | Instantiating formula (19) with all_9_1_5, one, all_31_0_17 and discharging atoms addition(one, all_31_0_17) = all_9_1_5, yields:
% 18.14/5.07 | (159) addition(all_31_0_17, one) = all_9_1_5
% 18.14/5.07 |
% 18.14/5.07 | Instantiating formula (12) with all_31_0_17, all_9_1_5, all_0_2_2, all_21_1_10, one and discharging atoms multiplication(all_9_1_5, all_0_2_2) = all_31_0_17, addition(one, all_21_1_10) = all_9_1_5, yields:
% 18.14/5.07 | (160) ? [v0] : ? [v1] : (multiplication(all_21_1_10, all_0_2_2) = v1 & multiplication(one, all_0_2_2) = v0 & addition(v0, v1) = all_31_0_17)
% 18.14/5.07 |
% 18.14/5.07 | Instantiating formula (12) with all_25_1_14, all_9_1_5, zero, all_21_1_10, one and discharging atoms multiplication(all_9_1_5, zero) = all_25_1_14, addition(one, all_21_1_10) = all_9_1_5, yields:
% 18.14/5.07 | (161) ? [v0] : ? [v1] : (multiplication(all_21_1_10, zero) = v1 & multiplication(one, zero) = v0 & addition(v0, v1) = all_25_1_14)
% 18.14/5.07 |
% 18.14/5.07 | Instantiating formula (22) with all_21_1_10, all_9_1_5, all_21_1_10, one, all_0_2_2 and discharging atoms multiplication(all_0_2_2, all_9_1_5) = all_21_1_10, addition(one, all_21_1_10) = all_9_1_5, yields:
% 18.14/5.07 | (162) ? [v0] : ? [v1] : (multiplication(all_0_2_2, all_21_1_10) = v1 & multiplication(all_0_2_2, one) = v0 & addition(v0, v1) = all_21_1_10)
% 18.14/5.07 |
% 18.14/5.07 | Instantiating formula (3) with all_0_1_1, all_9_1_5, all_9_0_4, one, all_21_1_10 and discharging atoms addition(all_9_0_4, all_9_1_5) = all_0_1_1, addition(one, all_21_1_10) = all_9_1_5, yields:
% 18.14/5.07 | (163) ? [v0] : (addition(v0, all_21_1_10) = all_0_1_1 & addition(all_9_0_4, one) = v0)
% 18.14/5.07 |
% 18.14/5.07 | Instantiating formula (19) with all_9_1_5, one, all_21_1_10 and discharging atoms addition(one, all_21_1_10) = all_9_1_5, yields:
% 18.14/5.07 | (164) addition(all_21_1_10, one) = all_9_1_5
% 18.14/5.07 |
% 18.14/5.07 | Instantiating formula (12) with all_9_0_4, all_0_1_1, zero, all_0_2_2, one and discharging atoms multiplication(all_0_1_1, zero) = all_9_0_4, addition(one, all_0_2_2) = all_0_1_1, yields:
% 18.14/5.07 | (165) ? [v0] : ? [v1] : (multiplication(all_0_2_2, zero) = v1 & multiplication(one, zero) = v0 & addition(v0, v1) = all_9_0_4)
% 18.14/5.07 |
% 18.14/5.07 | Instantiating formula (22) with all_0_2_2, all_0_1_1, all_0_2_2, one, all_0_2_2 and discharging atoms multiplication(all_0_2_2, all_0_1_1) = all_0_2_2, addition(one, all_0_2_2) = all_0_1_1, yields:
% 18.14/5.07 | (166) ? [v0] : ? [v1] : (multiplication(all_0_2_2, all_0_2_2) = v1 & multiplication(all_0_2_2, one) = v0 & addition(v0, v1) = all_0_2_2)
% 18.14/5.07 |
% 18.14/5.07 | Instantiating formula (22) with zero, all_0_1_1, all_0_2_2, one, zero and discharging atoms multiplication(zero, all_0_1_1) = zero, addition(one, all_0_2_2) = all_0_1_1, yields:
% 18.14/5.07 | (167) ? [v0] : ? [v1] : (multiplication(zero, all_0_2_2) = v1 & multiplication(zero, one) = v0 & addition(v0, v1) = zero)
% 18.14/5.07 |
% 18.57/5.07 | Instantiating (143) with all_55_0_18, all_55_1_19 yields:
% 18.57/5.07 | (168) multiplication(all_9_0_4, zero) = all_55_1_19 & multiplication(all_9_1_5, zero) = all_55_0_18 & addition(all_55_1_19, all_55_0_18) = all_9_0_4
% 18.57/5.07 |
% 18.57/5.07 | Applying alpha-rule on (168) yields:
% 18.57/5.07 | (169) multiplication(all_9_0_4, zero) = all_55_1_19
% 18.57/5.07 | (170) multiplication(all_9_1_5, zero) = all_55_0_18
% 18.57/5.07 | (171) addition(all_55_1_19, all_55_0_18) = all_9_0_4
% 18.57/5.07 |
% 18.57/5.07 | Instantiating (135) with all_59_0_22, all_59_1_23 yields:
% 18.57/5.07 | (172) multiplication(all_21_0_9, all_0_2_2) = all_59_0_22 & multiplication(all_21_1_10, all_0_2_2) = all_59_1_23 & addition(all_59_1_23, all_59_0_22) = all_19_1_8
% 18.57/5.07 |
% 18.57/5.07 | Applying alpha-rule on (172) yields:
% 18.57/5.07 | (173) multiplication(all_21_0_9, all_0_2_2) = all_59_0_22
% 18.57/5.08 | (174) multiplication(all_21_1_10, all_0_2_2) = all_59_1_23
% 18.57/5.08 | (175) addition(all_59_1_23, all_59_0_22) = all_19_1_8
% 18.57/5.08 |
% 18.57/5.08 | Instantiating (141) with all_67_0_29, all_67_1_30 yields:
% 18.57/5.08 | (176) multiplication(all_0_2_2, all_19_1_8) = all_67_1_30 & multiplication(all_0_2_2, all_0_2_2) = all_67_0_29 & addition(all_67_1_30, all_67_0_29) = all_19_1_8
% 18.57/5.08 |
% 18.57/5.08 | Applying alpha-rule on (176) yields:
% 18.57/5.08 | (177) multiplication(all_0_2_2, all_19_1_8) = all_67_1_30
% 18.57/5.08 | (178) multiplication(all_0_2_2, all_0_2_2) = all_67_0_29
% 18.57/5.08 | (179) addition(all_67_1_30, all_67_0_29) = all_19_1_8
% 18.57/5.08 |
% 18.57/5.08 | Instantiating (136) with all_69_0_31, all_69_1_32 yields:
% 18.57/5.08 | (180) multiplication(all_0_2_2, all_21_0_9) = all_69_0_31 & multiplication(all_0_2_2, all_21_1_10) = all_69_1_32 & addition(all_69_1_32, all_69_0_31) = all_19_1_8
% 18.57/5.08 |
% 18.57/5.08 | Applying alpha-rule on (180) yields:
% 18.57/5.08 | (181) multiplication(all_0_2_2, all_21_0_9) = all_69_0_31
% 18.57/5.08 | (182) multiplication(all_0_2_2, all_21_1_10) = all_69_1_32
% 18.57/5.08 | (183) addition(all_69_1_32, all_69_0_31) = all_19_1_8
% 18.57/5.08 |
% 18.57/5.08 | Instantiating (142) with all_71_0_33, all_71_1_34 yields:
% 18.57/5.08 | (184) multiplication(all_19_1_8, zero) = all_71_1_34 & multiplication(all_0_2_2, zero) = all_71_0_33 & addition(all_71_1_34, all_71_0_33) = all_9_0_4
% 18.57/5.08 |
% 18.57/5.08 | Applying alpha-rule on (184) yields:
% 18.57/5.08 | (185) multiplication(all_19_1_8, zero) = all_71_1_34
% 18.57/5.08 | (186) multiplication(all_0_2_2, zero) = all_71_0_33
% 18.57/5.08 | (187) addition(all_71_1_34, all_71_0_33) = all_9_0_4
% 18.57/5.08 |
% 18.57/5.08 | Instantiating (161) with all_75_0_36, all_75_1_37 yields:
% 18.57/5.08 | (188) multiplication(all_21_1_10, zero) = all_75_0_36 & multiplication(one, zero) = all_75_1_37 & addition(all_75_1_37, all_75_0_36) = all_25_1_14
% 18.57/5.08 |
% 18.57/5.08 | Applying alpha-rule on (188) yields:
% 18.57/5.08 | (189) multiplication(all_21_1_10, zero) = all_75_0_36
% 18.57/5.08 | (190) multiplication(one, zero) = all_75_1_37
% 18.57/5.08 | (191) addition(all_75_1_37, all_75_0_36) = all_25_1_14
% 18.57/5.08 |
% 18.57/5.08 | Instantiating (119) with all_87_0_43 yields:
% 18.57/5.08 | (192) multiplication(all_0_2_2, all_87_0_43) = all_21_0_9 & multiplication(one, all_9_0_4) = all_87_0_43
% 18.57/5.08 |
% 18.57/5.08 | Applying alpha-rule on (192) yields:
% 18.57/5.08 | (193) multiplication(all_0_2_2, all_87_0_43) = all_21_0_9
% 18.57/5.08 | (194) multiplication(one, all_9_0_4) = all_87_0_43
% 18.57/5.08 |
% 18.57/5.08 | Instantiating (118) with all_89_0_44 yields:
% 18.57/5.08 | (195) multiplication(all_89_0_44, one) = all_31_0_17 & multiplication(all_9_1_5, all_0_2_2) = all_89_0_44
% 18.57/5.08 |
% 18.57/5.08 | Applying alpha-rule on (195) yields:
% 18.57/5.08 | (196) multiplication(all_89_0_44, one) = all_31_0_17
% 18.57/5.08 | (197) multiplication(all_9_1_5, all_0_2_2) = all_89_0_44
% 18.57/5.08 |
% 18.57/5.08 | Instantiating (125) with all_91_0_45 yields:
% 18.57/5.08 | (198) multiplication(all_91_0_45, zero) = all_21_0_9 & multiplication(all_0_2_2, all_0_2_2) = all_91_0_45
% 18.57/5.08 |
% 18.57/5.08 | Applying alpha-rule on (198) yields:
% 18.57/5.08 | (199) multiplication(all_91_0_45, zero) = all_21_0_9
% 18.57/5.08 | (200) multiplication(all_0_2_2, all_0_2_2) = all_91_0_45
% 18.57/5.08 |
% 18.57/5.08 | Instantiating (126) with all_95_0_47 yields:
% 18.57/5.08 | (201) multiplication(all_95_0_47, zero) = all_25_1_14 & multiplication(all_9_1_5, one) = all_95_0_47
% 18.57/5.08 |
% 18.57/5.08 | Applying alpha-rule on (201) yields:
% 18.57/5.08 | (202) multiplication(all_95_0_47, zero) = all_25_1_14
% 18.57/5.08 | (203) multiplication(all_9_1_5, one) = all_95_0_47
% 18.57/5.08 |
% 18.57/5.08 | Instantiating (162) with all_99_0_49, all_99_1_50 yields:
% 18.57/5.08 | (204) multiplication(all_0_2_2, all_21_1_10) = all_99_0_49 & multiplication(all_0_2_2, one) = all_99_1_50 & addition(all_99_1_50, all_99_0_49) = all_21_1_10
% 18.57/5.08 |
% 18.57/5.08 | Applying alpha-rule on (204) yields:
% 18.57/5.08 | (205) multiplication(all_0_2_2, all_21_1_10) = all_99_0_49
% 18.57/5.08 | (206) multiplication(all_0_2_2, one) = all_99_1_50
% 18.57/5.08 | (207) addition(all_99_1_50, all_99_0_49) = all_21_1_10
% 18.57/5.08 |
% 18.57/5.08 | Instantiating (166) with all_101_0_51, all_101_1_52 yields:
% 18.57/5.08 | (208) multiplication(all_0_2_2, all_0_2_2) = all_101_0_51 & multiplication(all_0_2_2, one) = all_101_1_52 & addition(all_101_1_52, all_101_0_51) = all_0_2_2
% 18.57/5.08 |
% 18.57/5.08 | Applying alpha-rule on (208) yields:
% 18.57/5.08 | (209) multiplication(all_0_2_2, all_0_2_2) = all_101_0_51
% 18.57/5.08 | (210) multiplication(all_0_2_2, one) = all_101_1_52
% 18.57/5.08 | (211) addition(all_101_1_52, all_101_0_51) = all_0_2_2
% 18.57/5.08 |
% 18.57/5.08 | Instantiating (165) with all_103_0_53, all_103_1_54 yields:
% 18.57/5.08 | (212) multiplication(all_0_2_2, zero) = all_103_0_53 & multiplication(one, zero) = all_103_1_54 & addition(all_103_1_54, all_103_0_53) = all_9_0_4
% 18.57/5.08 |
% 18.57/5.08 | Applying alpha-rule on (212) yields:
% 18.57/5.08 | (213) multiplication(all_0_2_2, zero) = all_103_0_53
% 18.57/5.08 | (214) multiplication(one, zero) = all_103_1_54
% 18.57/5.08 | (215) addition(all_103_1_54, all_103_0_53) = all_9_0_4
% 18.57/5.08 |
% 18.57/5.08 | Instantiating (151) with all_105_0_55 yields:
% 18.57/5.08 | (216) addition(all_9_0_4, all_105_0_55) = all_9_0_4 & addition(zero, zero) = all_105_0_55
% 18.57/5.08 |
% 18.57/5.08 | Applying alpha-rule on (216) yields:
% 18.57/5.08 | (217) addition(all_9_0_4, all_105_0_55) = all_9_0_4
% 18.57/5.08 | (218) addition(zero, zero) = all_105_0_55
% 18.57/5.08 |
% 18.57/5.08 | Instantiating (150) with all_107_0_56 yields:
% 18.57/5.08 | (219) addition(all_9_0_4, all_107_0_56) = all_0_1_1 & addition(zero, all_9_1_5) = all_107_0_56
% 18.57/5.08 |
% 18.57/5.08 | Applying alpha-rule on (219) yields:
% 18.57/5.08 | (220) addition(all_9_0_4, all_107_0_56) = all_0_1_1
% 18.57/5.08 | (221) addition(zero, all_9_1_5) = all_107_0_56
% 18.57/5.08 |
% 18.57/5.08 | Instantiating (157) with all_109_0_57 yields:
% 18.57/5.08 | (222) addition(all_31_0_17, all_9_0_4) = all_109_0_57 & addition(one, all_109_0_57) = all_0_1_1
% 18.57/5.08 |
% 18.57/5.08 | Applying alpha-rule on (222) yields:
% 18.57/5.08 | (223) addition(all_31_0_17, all_9_0_4) = all_109_0_57
% 18.57/5.08 | (224) addition(one, all_109_0_57) = all_0_1_1
% 18.57/5.08 |
% 18.57/5.08 | Instantiating (149) with all_115_0_61 yields:
% 18.57/5.08 | (225) addition(all_115_0_61, zero) = all_0_1_1 & addition(all_9_1_5, all_9_0_4) = all_115_0_61
% 18.57/5.08 |
% 18.57/5.08 | Applying alpha-rule on (225) yields:
% 18.57/5.08 | (226) addition(all_115_0_61, zero) = all_0_1_1
% 18.57/5.08 | (227) addition(all_9_1_5, all_9_0_4) = all_115_0_61
% 18.57/5.08 |
% 18.57/5.08 | Instantiating (146) with all_117_0_62, all_117_1_63 yields:
% 18.57/5.08 | (228) multiplication(all_9_0_4, zero) = all_117_1_63 & multiplication(zero, zero) = all_117_0_62 & addition(all_117_1_63, all_117_0_62) = all_25_0_13
% 18.57/5.08 |
% 18.57/5.08 | Applying alpha-rule on (228) yields:
% 18.57/5.08 | (229) multiplication(all_9_0_4, zero) = all_117_1_63
% 18.64/5.09 | (230) multiplication(zero, zero) = all_117_0_62
% 18.64/5.09 | (231) addition(all_117_1_63, all_117_0_62) = all_25_0_13
% 18.64/5.09 |
% 18.64/5.09 | Instantiating (144) with all_119_0_64, all_119_1_65 yields:
% 18.64/5.09 | (232) multiplication(zero, all_9_0_4) = all_119_1_65 & multiplication(zero, all_9_1_5) = all_119_0_64 & addition(all_119_1_65, all_119_0_64) = zero
% 18.64/5.09 |
% 18.64/5.09 | Applying alpha-rule on (232) yields:
% 18.64/5.09 | (233) multiplication(zero, all_9_0_4) = all_119_1_65
% 18.64/5.09 | (234) multiplication(zero, all_9_1_5) = all_119_0_64
% 18.64/5.09 | (235) addition(all_119_1_65, all_119_0_64) = zero
% 18.64/5.09 |
% 18.64/5.09 | Instantiating (158) with all_121_0_66 yields:
% 18.64/5.09 | (236) addition(all_121_0_66, all_31_0_17) = all_0_1_1 & addition(all_9_0_4, one) = all_121_0_66
% 18.64/5.09 |
% 18.64/5.09 | Applying alpha-rule on (236) yields:
% 18.64/5.09 | (237) addition(all_121_0_66, all_31_0_17) = all_0_1_1
% 18.64/5.09 | (238) addition(all_9_0_4, one) = all_121_0_66
% 18.64/5.09 |
% 18.64/5.09 | Instantiating (160) with all_123_0_67, all_123_1_68 yields:
% 18.64/5.09 | (239) multiplication(all_21_1_10, all_0_2_2) = all_123_0_67 & multiplication(one, all_0_2_2) = all_123_1_68 & addition(all_123_1_68, all_123_0_67) = all_31_0_17
% 18.64/5.09 |
% 18.64/5.09 | Applying alpha-rule on (239) yields:
% 18.64/5.09 | (240) multiplication(all_21_1_10, all_0_2_2) = all_123_0_67
% 18.64/5.09 | (241) multiplication(one, all_0_2_2) = all_123_1_68
% 18.64/5.09 | (242) addition(all_123_1_68, all_123_0_67) = all_31_0_17
% 18.64/5.09 |
% 18.64/5.09 | Instantiating (145) with all_127_0_71 yields:
% 18.64/5.09 | (243) addition(all_25_0_13, all_9_1_5) = all_127_0_71 & addition(all_25_1_14, all_127_0_71) = all_0_1_1
% 18.64/5.09 |
% 18.64/5.09 | Applying alpha-rule on (243) yields:
% 18.64/5.09 | (244) addition(all_25_0_13, all_9_1_5) = all_127_0_71
% 18.64/5.09 | (245) addition(all_25_1_14, all_127_0_71) = all_0_1_1
% 18.64/5.09 |
% 18.64/5.09 | Instantiating (148) with all_129_0_72 yields:
% 18.64/5.09 | (246) multiplication(all_129_0_72, zero) = all_9_0_4 & addition(all_0_1_1, one) = all_129_0_72
% 18.64/5.09 |
% 18.64/5.09 | Applying alpha-rule on (246) yields:
% 18.64/5.09 | (247) multiplication(all_129_0_72, zero) = all_9_0_4
% 18.64/5.09 | (248) addition(all_0_1_1, one) = all_129_0_72
% 18.64/5.09 |
% 18.64/5.09 | Instantiating (147) with all_131_0_73, all_131_1_74 yields:
% 18.64/5.09 | (249) multiplication(all_0_2_2, all_9_0_4) = all_131_1_74 & multiplication(all_0_2_2, zero) = all_131_0_73 & addition(all_131_1_74, all_131_0_73) = all_21_0_9
% 18.64/5.09 |
% 18.64/5.09 | Applying alpha-rule on (249) yields:
% 18.64/5.09 | (250) multiplication(all_0_2_2, all_9_0_4) = all_131_1_74
% 18.64/5.09 | (251) multiplication(all_0_2_2, zero) = all_131_0_73
% 18.64/5.09 | (252) addition(all_131_1_74, all_131_0_73) = all_21_0_9
% 18.64/5.09 |
% 18.64/5.09 | Instantiating (124) with all_133_0_75 yields:
% 18.64/5.09 | (253) multiplication(all_0_2_2, all_133_0_75) = all_25_0_13 & multiplication(zero, zero) = all_133_0_75
% 18.64/5.09 |
% 18.64/5.09 | Applying alpha-rule on (253) yields:
% 18.64/5.09 | (254) multiplication(all_0_2_2, all_133_0_75) = all_25_0_13
% 18.64/5.09 | (255) multiplication(zero, zero) = all_133_0_75
% 18.64/5.09 |
% 18.64/5.09 | Instantiating (123) with all_135_0_76 yields:
% 18.64/5.09 | (256) multiplication(all_0_3_3, all_135_0_76) = all_9_0_4 & multiplication(zero, zero) = all_135_0_76
% 18.64/5.09 |
% 18.64/5.09 | Applying alpha-rule on (256) yields:
% 18.64/5.09 | (257) multiplication(all_0_3_3, all_135_0_76) = all_9_0_4
% 18.64/5.09 | (258) multiplication(zero, zero) = all_135_0_76
% 18.64/5.09 |
% 18.64/5.09 | Instantiating (121) with all_137_0_77 yields:
% 18.64/5.09 | (259) multiplication(all_0_2_2, all_137_0_77) = all_19_1_8 & multiplication(one, all_0_2_2) = all_137_0_77
% 18.64/5.09 |
% 18.64/5.09 | Applying alpha-rule on (259) yields:
% 18.64/5.09 | (260) multiplication(all_0_2_2, all_137_0_77) = all_19_1_8
% 18.64/5.09 | (261) multiplication(one, all_0_2_2) = all_137_0_77
% 18.64/5.09 |
% 18.64/5.09 | Instantiating (117) with all_141_0_79 yields:
% 18.64/5.09 | (262) multiplication(all_0_3_3, all_141_0_79) = all_0_2_2 & multiplication(zero, one) = all_141_0_79
% 18.64/5.09 |
% 18.64/5.09 | Applying alpha-rule on (262) yields:
% 18.64/5.09 | (263) multiplication(all_0_3_3, all_141_0_79) = all_0_2_2
% 18.64/5.09 | (264) multiplication(zero, one) = all_141_0_79
% 18.64/5.09 |
% 18.64/5.09 | Instantiating (113) with all_143_0_80 yields:
% 18.64/5.09 | (265) multiplication(all_0_1_1, all_9_1_5) = all_143_0_80 & multiplication(all_0_2_2, all_143_0_80) = all_21_1_10
% 18.64/5.09 |
% 18.64/5.09 | Applying alpha-rule on (265) yields:
% 18.64/5.09 | (266) multiplication(all_0_1_1, all_9_1_5) = all_143_0_80
% 18.64/5.09 | (267) multiplication(all_0_2_2, all_143_0_80) = all_21_1_10
% 18.64/5.09 |
% 18.64/5.09 | Instantiating (112) with all_145_0_81 yields:
% 18.64/5.09 | (268) multiplication(all_145_0_81, all_0_1_1) = all_31_0_17 & multiplication(all_9_1_5, all_0_2_2) = all_145_0_81
% 18.64/5.09 |
% 18.64/5.09 | Applying alpha-rule on (268) yields:
% 18.64/5.09 | (269) multiplication(all_145_0_81, all_0_1_1) = all_31_0_17
% 18.64/5.09 | (270) multiplication(all_9_1_5, all_0_2_2) = all_145_0_81
% 18.64/5.09 |
% 18.64/5.09 | Instantiating (111) with all_147_0_82 yields:
% 18.64/5.09 | (271) multiplication(all_0_3_3, all_147_0_82) = all_21_1_10 & multiplication(zero, all_9_1_5) = all_147_0_82
% 18.64/5.09 |
% 18.64/5.09 | Applying alpha-rule on (271) yields:
% 18.64/5.09 | (272) multiplication(all_0_3_3, all_147_0_82) = all_21_1_10
% 18.64/5.09 | (273) multiplication(zero, all_9_1_5) = all_147_0_82
% 18.64/5.09 |
% 18.64/5.09 | Instantiating (116) with all_149_0_83 yields:
% 18.64/5.09 | (274) multiplication(all_149_0_83, all_0_1_1) = all_19_1_8 & multiplication(all_0_2_2, all_0_2_2) = all_149_0_83
% 18.64/5.09 |
% 18.64/5.09 | Applying alpha-rule on (274) yields:
% 18.64/5.09 | (275) multiplication(all_149_0_83, all_0_1_1) = all_19_1_8
% 18.64/5.09 | (276) multiplication(all_0_2_2, all_0_2_2) = all_149_0_83
% 18.64/5.09 |
% 18.64/5.09 | Instantiating (110) with all_153_0_85 yields:
% 18.64/5.09 | (277) multiplication(all_0_3_3, all_153_0_85) = all_21_0_9 & multiplication(zero, all_9_0_4) = all_153_0_85
% 18.64/5.09 |
% 18.64/5.09 | Applying alpha-rule on (277) yields:
% 18.64/5.09 | (278) multiplication(all_0_3_3, all_153_0_85) = all_21_0_9
% 18.64/5.09 | (279) multiplication(zero, all_9_0_4) = all_153_0_85
% 18.64/5.09 |
% 18.64/5.09 | Instantiating (120) with all_159_0_88 yields:
% 18.64/5.09 | (280) multiplication(all_0_2_2, all_159_0_88) = all_21_1_10 & multiplication(one, all_9_1_5) = all_159_0_88
% 18.64/5.09 |
% 18.64/5.09 | Applying alpha-rule on (280) yields:
% 18.64/5.09 | (281) multiplication(all_0_2_2, all_159_0_88) = all_21_1_10
% 18.64/5.09 | (282) multiplication(one, all_9_1_5) = all_159_0_88
% 18.64/5.09 |
% 18.64/5.09 | Instantiating (109) with all_161_0_89 yields:
% 18.64/5.09 | (283) multiplication(all_0_1_1, all_161_0_89) = all_25_0_13 & multiplication(zero, zero) = all_161_0_89
% 18.64/5.09 |
% 18.64/5.09 | Applying alpha-rule on (283) yields:
% 18.64/5.09 | (284) multiplication(all_0_1_1, all_161_0_89) = all_25_0_13
% 18.64/5.09 | (285) multiplication(zero, zero) = all_161_0_89
% 18.64/5.09 |
% 18.64/5.09 | Instantiating (115) with all_171_0_94 yields:
% 18.64/5.09 | (286) multiplication(all_0_3_3, all_171_0_94) = all_19_1_8 & multiplication(zero, all_0_2_2) = all_171_0_94
% 18.64/5.09 |
% 18.64/5.09 | Applying alpha-rule on (286) yields:
% 18.64/5.09 | (287) multiplication(all_0_3_3, all_171_0_94) = all_19_1_8
% 18.64/5.09 | (288) multiplication(zero, all_0_2_2) = all_171_0_94
% 18.64/5.09 |
% 18.64/5.09 | Instantiating (122) with all_173_0_95 yields:
% 18.64/5.09 | (289) multiplication(all_173_0_95, one) = all_19_1_8 & multiplication(all_0_2_2, all_0_2_2) = all_173_0_95
% 18.64/5.09 |
% 18.64/5.09 | Applying alpha-rule on (289) yields:
% 18.64/5.09 | (290) multiplication(all_173_0_95, one) = all_19_1_8
% 18.64/5.09 | (291) multiplication(all_0_2_2, all_0_2_2) = all_173_0_95
% 18.64/5.09 |
% 18.64/5.09 | Instantiating (139) with all_175_0_96, all_175_1_97 yields:
% 18.64/5.09 | (292) multiplication(all_19_1_8, all_9_0_4) = all_175_1_97 & multiplication(all_0_2_2, all_9_0_4) = all_175_0_96 & addition(all_175_1_97, all_175_0_96) = all_21_0_9
% 18.64/5.09 |
% 18.64/5.09 | Applying alpha-rule on (292) yields:
% 18.64/5.09 | (293) multiplication(all_19_1_8, all_9_0_4) = all_175_1_97
% 18.64/5.09 | (294) multiplication(all_0_2_2, all_9_0_4) = all_175_0_96
% 18.64/5.09 | (295) addition(all_175_1_97, all_175_0_96) = all_21_0_9
% 18.64/5.09 |
% 18.64/5.09 | Instantiating (114) with all_177_0_98 yields:
% 18.64/5.09 | (296) multiplication(all_0_1_1, all_0_1_1) = all_177_0_98 & multiplication(all_0_2_2, all_177_0_98) = all_0_2_2
% 18.64/5.09 |
% 18.64/5.09 | Applying alpha-rule on (296) yields:
% 18.64/5.09 | (297) multiplication(all_0_1_1, all_0_1_1) = all_177_0_98
% 18.64/5.09 | (298) multiplication(all_0_2_2, all_177_0_98) = all_0_2_2
% 18.64/5.09 |
% 18.64/5.09 | Instantiating (138) with all_179_0_99, all_179_1_100 yields:
% 18.64/5.09 | (299) multiplication(all_9_1_5, all_19_1_8) = all_179_1_100 & multiplication(all_9_1_5, all_0_2_2) = all_179_0_99 & addition(all_179_1_100, all_179_0_99) = all_31_0_17
% 18.64/5.09 |
% 18.64/5.09 | Applying alpha-rule on (299) yields:
% 18.64/5.09 | (300) multiplication(all_9_1_5, all_19_1_8) = all_179_1_100
% 18.64/5.09 | (301) multiplication(all_9_1_5, all_0_2_2) = all_179_0_99
% 18.64/5.09 | (302) addition(all_179_1_100, all_179_0_99) = all_31_0_17
% 18.64/5.09 |
% 18.64/5.09 | Instantiating (134) with all_185_0_105, all_185_1_106 yields:
% 18.64/5.09 | (303) multiplication(all_21_0_9, all_9_0_4) = all_185_0_105 & multiplication(all_21_1_10, all_9_0_4) = all_185_1_106 & addition(all_185_1_106, all_185_0_105) = all_21_0_9
% 18.64/5.09 |
% 18.64/5.09 | Applying alpha-rule on (303) yields:
% 18.64/5.09 | (304) multiplication(all_21_0_9, all_9_0_4) = all_185_0_105
% 18.64/5.09 | (305) multiplication(all_21_1_10, all_9_0_4) = all_185_1_106
% 18.64/5.09 | (306) addition(all_185_1_106, all_185_0_105) = all_21_0_9
% 18.64/5.09 |
% 18.64/5.09 | Instantiating (163) with all_189_0_108 yields:
% 18.64/5.09 | (307) addition(all_189_0_108, all_21_1_10) = all_0_1_1 & addition(all_9_0_4, one) = all_189_0_108
% 18.64/5.09 |
% 18.64/5.09 | Applying alpha-rule on (307) yields:
% 18.64/5.09 | (308) addition(all_189_0_108, all_21_1_10) = all_0_1_1
% 18.64/5.09 | (309) addition(all_9_0_4, one) = all_189_0_108
% 18.64/5.09 |
% 18.64/5.09 | Instantiating (133) with all_191_0_109 yields:
% 18.64/5.09 | (310) addition(all_191_0_109, all_25_0_13) = all_0_1_1 & addition(all_9_1_5, all_25_1_14) = all_191_0_109
% 18.64/5.09 |
% 18.64/5.09 | Applying alpha-rule on (310) yields:
% 18.64/5.09 | (311) addition(all_191_0_109, all_25_0_13) = all_0_1_1
% 18.64/5.09 | (312) addition(all_9_1_5, all_25_1_14) = all_191_0_109
% 18.64/5.09 |
% 18.64/5.09 | Instantiating (132) with all_193_0_110, all_193_1_111 yields:
% 18.64/5.09 | (313) multiplication(all_0_2_2, all_25_0_13) = all_193_0_110 & multiplication(all_0_2_2, all_25_1_14) = all_193_1_111 & addition(all_193_1_111, all_193_0_110) = all_21_0_9
% 18.64/5.10 |
% 18.64/5.10 | Applying alpha-rule on (313) yields:
% 18.64/5.10 | (314) multiplication(all_0_2_2, all_25_0_13) = all_193_0_110
% 18.64/5.10 | (315) multiplication(all_0_2_2, all_25_1_14) = all_193_1_111
% 18.64/5.10 | (316) addition(all_193_1_111, all_193_0_110) = all_21_0_9
% 18.64/5.10 |
% 18.64/5.10 | Instantiating (129) with all_195_0_112 yields:
% 18.64/5.10 | (317) multiplication(all_0_1_1, all_0_1_1) = all_195_0_112 & multiplication(zero, all_195_0_112) = zero
% 18.64/5.10 |
% 18.64/5.10 | Applying alpha-rule on (317) yields:
% 18.64/5.10 | (318) multiplication(all_0_1_1, all_0_1_1) = all_195_0_112
% 18.64/5.10 | (319) multiplication(zero, all_195_0_112) = zero
% 18.64/5.10 |
% 18.64/5.10 | Instantiating (127) with all_197_0_113 yields:
% 18.64/5.10 | (320) multiplication(all_197_0_113, all_0_1_1) = all_25_1_14 & multiplication(all_9_1_5, zero) = all_197_0_113
% 18.64/5.10 |
% 18.64/5.10 | Applying alpha-rule on (320) yields:
% 18.64/5.10 | (321) multiplication(all_197_0_113, all_0_1_1) = all_25_1_14
% 18.64/5.10 | (322) multiplication(all_9_1_5, zero) = all_197_0_113
% 18.64/5.10 |
% 18.64/5.10 | Instantiating (156) with all_201_0_115, all_201_1_116 yields:
% 18.64/5.10 | (323) multiplication(all_31_0_17, zero) = all_201_0_115 & multiplication(one, zero) = all_201_1_116 & addition(all_201_1_116, all_201_0_115) = all_25_1_14
% 18.64/5.10 |
% 18.64/5.10 | Applying alpha-rule on (323) yields:
% 18.64/5.10 | (324) multiplication(all_31_0_17, zero) = all_201_0_115
% 18.64/5.10 | (325) multiplication(one, zero) = all_201_1_116
% 18.64/5.10 | (326) addition(all_201_1_116, all_201_0_115) = all_25_1_14
% 18.64/5.10 |
% 18.64/5.10 | Instantiating (154) with all_203_0_117 yields:
% 18.64/5.10 | (327) addition(all_19_1_8, all_203_0_117) = all_0_1_1 & addition(all_0_2_2, one) = all_203_0_117
% 18.64/5.10 |
% 18.64/5.10 | Applying alpha-rule on (327) yields:
% 18.64/5.10 | (328) addition(all_19_1_8, all_203_0_117) = all_0_1_1
% 18.64/5.10 | (329) addition(all_0_2_2, one) = all_203_0_117
% 18.64/5.10 |
% 18.64/5.10 | Instantiating (153) with all_205_0_118 yields:
% 18.64/5.10 | (330) addition(all_21_0_9, one) = all_205_0_118 & addition(all_21_1_10, all_205_0_118) = all_0_1_1
% 18.64/5.10 |
% 18.64/5.10 | Applying alpha-rule on (330) yields:
% 18.64/5.10 | (331) addition(all_21_0_9, one) = all_205_0_118
% 18.64/5.10 | (332) addition(all_21_1_10, all_205_0_118) = all_0_1_1
% 18.64/5.10 |
% 18.64/5.10 | Instantiating (167) with all_207_0_119, all_207_1_120 yields:
% 18.64/5.10 | (333) multiplication(zero, all_0_2_2) = all_207_0_119 & multiplication(zero, one) = all_207_1_120 & addition(all_207_1_120, all_207_0_119) = zero
% 18.64/5.10 |
% 18.64/5.10 | Applying alpha-rule on (333) yields:
% 18.64/5.10 | (334) multiplication(zero, all_0_2_2) = all_207_0_119
% 18.64/5.10 | (335) multiplication(zero, one) = all_207_1_120
% 18.64/5.10 | (336) addition(all_207_1_120, all_207_0_119) = zero
% 18.64/5.10 |
% 18.64/5.10 | Instantiating (155) with all_209_0_121, all_209_1_122 yields:
% 18.64/5.10 | (337) multiplication(all_31_0_17, all_0_2_2) = all_209_0_121 & multiplication(one, all_0_2_2) = all_209_1_122 & addition(all_209_1_122, all_209_0_121) = all_31_0_17
% 18.64/5.10 |
% 18.64/5.10 | Applying alpha-rule on (337) yields:
% 18.64/5.10 | (338) multiplication(all_31_0_17, all_0_2_2) = all_209_0_121
% 18.64/5.10 | (339) multiplication(one, all_0_2_2) = all_209_1_122
% 18.64/5.10 | (340) addition(all_209_1_122, all_209_0_121) = all_31_0_17
% 18.64/5.10 |
% 18.64/5.10 | Instantiating (152) with all_213_0_124, all_213_1_125 yields:
% 18.64/5.10 | (341) multiplication(zero, all_0_2_2) = all_213_1_125 & multiplication(zero, one) = all_213_0_124 & addition(all_213_1_125, all_213_0_124) = zero
% 18.64/5.10 |
% 18.64/5.10 | Applying alpha-rule on (341) yields:
% 18.64/5.10 | (342) multiplication(zero, all_0_2_2) = all_213_1_125
% 18.64/5.10 | (343) multiplication(zero, one) = all_213_0_124
% 18.64/5.10 | (344) addition(all_213_1_125, all_213_0_124) = zero
% 18.64/5.10 |
% 18.64/5.10 | Instantiating (128) with all_215_0_126 yields:
% 18.64/5.10 | (345) multiplication(all_215_0_126, all_0_1_1) = all_9_0_4 & multiplication(all_0_2_2, zero) = all_215_0_126
% 18.64/5.10 |
% 18.64/5.10 | Applying alpha-rule on (345) yields:
% 18.64/5.10 | (346) multiplication(all_215_0_126, all_0_1_1) = all_9_0_4
% 18.64/5.10 | (347) multiplication(all_0_2_2, zero) = all_215_0_126
% 18.64/5.10 |
% 18.64/5.10 | Instantiating (131) with all_217_0_127, all_217_1_128 yields:
% 18.64/5.10 | (348) multiplication(all_25_0_13, zero) = all_217_0_127 & multiplication(all_25_1_14, zero) = all_217_1_128 & addition(all_217_1_128, all_217_0_127) = all_25_0_13
% 18.64/5.10 |
% 18.64/5.10 | Applying alpha-rule on (348) yields:
% 18.64/5.10 | (349) multiplication(all_25_0_13, zero) = all_217_0_127
% 18.64/5.10 | (350) multiplication(all_25_1_14, zero) = all_217_1_128
% 18.64/5.10 | (351) addition(all_217_1_128, all_217_0_127) = all_25_0_13
% 18.64/5.10 |
% 18.64/5.10 | Instantiating (130) with all_219_0_129, all_219_1_130 yields:
% 18.64/5.10 | (352) multiplication(zero, all_9_0_4) = all_219_0_129 & multiplication(zero, all_9_1_5) = all_219_1_130 & addition(all_219_1_130, all_219_0_129) = zero
% 18.64/5.10 |
% 18.64/5.10 | Applying alpha-rule on (352) yields:
% 18.64/5.10 | (353) multiplication(zero, all_9_0_4) = all_219_0_129
% 18.64/5.10 | (354) multiplication(zero, all_9_1_5) = all_219_1_130
% 18.64/5.10 | (355) addition(all_219_1_130, all_219_0_129) = zero
% 18.64/5.10 |
% 18.64/5.10 | Instantiating (140) with all_221_0_131, all_221_1_132 yields:
% 18.64/5.10 | (356) multiplication(all_19_1_8, all_0_2_2) = all_221_1_132 & multiplication(all_0_2_2, all_0_2_2) = all_221_0_131 & addition(all_221_1_132, all_221_0_131) = all_19_1_8
% 18.64/5.10 |
% 18.64/5.10 | Applying alpha-rule on (356) yields:
% 18.64/5.10 | (357) multiplication(all_19_1_8, all_0_2_2) = all_221_1_132
% 18.64/5.10 | (358) multiplication(all_0_2_2, all_0_2_2) = all_221_0_131
% 18.64/5.10 | (359) addition(all_221_1_132, all_221_0_131) = all_19_1_8
% 18.64/5.10 |
% 18.64/5.10 | Instantiating (137) with all_229_0_138, all_229_1_139 yields:
% 18.64/5.10 | (360) multiplication(all_21_0_9, zero) = all_229_0_138 & multiplication(all_21_1_10, zero) = all_229_1_139 & addition(all_229_1_139, all_229_0_138) = all_9_0_4
% 18.64/5.10 |
% 18.64/5.10 | Applying alpha-rule on (360) yields:
% 18.64/5.10 | (361) multiplication(all_21_0_9, zero) = all_229_0_138
% 18.64/5.10 | (362) multiplication(all_21_1_10, zero) = all_229_1_139
% 18.64/5.10 | (363) addition(all_229_1_139, all_229_0_138) = all_9_0_4
% 18.64/5.10 |
% 18.64/5.10 | Instantiating formula (31) with all_21_1_10, all_0_2_2, all_59_1_23, all_123_0_67 and discharging atoms multiplication(all_21_1_10, all_0_2_2) = all_123_0_67, multiplication(all_21_1_10, all_0_2_2) = all_59_1_23, yields:
% 18.64/5.10 | (364) all_123_0_67 = all_59_1_23
% 18.64/5.10 |
% 18.64/5.10 | Instantiating formula (31) with all_21_1_10, zero, all_75_0_36, all_229_1_139 and discharging atoms multiplication(all_21_1_10, zero) = all_229_1_139, multiplication(all_21_1_10, zero) = all_75_0_36, yields:
% 18.64/5.10 | (365) all_229_1_139 = all_75_0_36
% 18.64/5.10 |
% 18.64/5.10 | Instantiating formula (31) with all_9_1_5, all_0_2_2, all_145_0_81, all_31_0_17 and discharging atoms multiplication(all_9_1_5, all_0_2_2) = all_145_0_81, multiplication(all_9_1_5, all_0_2_2) = all_31_0_17, yields:
% 18.64/5.10 | (366) all_145_0_81 = all_31_0_17
% 18.64/5.10 |
% 18.64/5.10 | Instantiating formula (31) with all_9_1_5, all_0_2_2, all_145_0_81, all_179_0_99 and discharging atoms multiplication(all_9_1_5, all_0_2_2) = all_179_0_99, multiplication(all_9_1_5, all_0_2_2) = all_145_0_81, yields:
% 18.64/5.10 | (367) all_179_0_99 = all_145_0_81
% 18.64/5.10 |
% 18.64/5.10 | Instantiating formula (31) with all_9_1_5, all_0_2_2, all_89_0_44, all_179_0_99 and discharging atoms multiplication(all_9_1_5, all_0_2_2) = all_179_0_99, multiplication(all_9_1_5, all_0_2_2) = all_89_0_44, yields:
% 18.64/5.10 | (368) all_179_0_99 = all_89_0_44
% 18.64/5.10 |
% 18.64/5.10 | Instantiating formula (13) with all_95_0_47, all_9_1_5 and discharging atoms multiplication(all_9_1_5, one) = all_95_0_47, yields:
% 18.64/5.10 | (369) all_95_0_47 = all_9_1_5
% 18.64/5.10 |
% 18.64/5.10 | Instantiating formula (31) with all_9_1_5, zero, all_197_0_113, all_25_1_14 and discharging atoms multiplication(all_9_1_5, zero) = all_197_0_113, multiplication(all_9_1_5, zero) = all_25_1_14, yields:
% 18.64/5.10 | (370) all_197_0_113 = all_25_1_14
% 18.64/5.10 |
% 18.64/5.10 | Instantiating formula (31) with all_9_1_5, zero, all_55_0_18, all_197_0_113 and discharging atoms multiplication(all_9_1_5, zero) = all_197_0_113, multiplication(all_9_1_5, zero) = all_55_0_18, yields:
% 18.64/5.10 | (371) all_197_0_113 = all_55_0_18
% 18.64/5.10 |
% 18.64/5.10 | Instantiating formula (31) with all_0_1_1, all_0_1_1, all_177_0_98, all_195_0_112 and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_195_0_112, multiplication(all_0_1_1, all_0_1_1) = all_177_0_98, yields:
% 18.64/5.10 | (372) all_195_0_112 = all_177_0_98
% 18.64/5.10 |
% 18.64/5.10 | Instantiating formula (31) with all_0_2_2, all_21_1_10, all_69_1_32, all_99_0_49 and discharging atoms multiplication(all_0_2_2, all_21_1_10) = all_99_0_49, multiplication(all_0_2_2, all_21_1_10) = all_69_1_32, yields:
% 18.64/5.10 | (373) all_99_0_49 = all_69_1_32
% 18.64/5.10 |
% 18.64/5.10 | Instantiating formula (31) with all_0_2_2, all_0_2_2, all_173_0_95, all_19_1_8 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_173_0_95, multiplication(all_0_2_2, all_0_2_2) = all_19_1_8, yields:
% 18.64/5.10 | (374) all_173_0_95 = all_19_1_8
% 18.64/5.10 |
% 18.64/5.10 | Instantiating formula (31) with all_0_2_2, all_0_2_2, all_173_0_95, all_221_0_131 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_221_0_131, multiplication(all_0_2_2, all_0_2_2) = all_173_0_95, yields:
% 18.64/5.10 | (375) all_221_0_131 = all_173_0_95
% 18.64/5.10 |
% 18.64/5.10 | Instantiating formula (31) with all_0_2_2, all_0_2_2, all_149_0_83, all_221_0_131 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_221_0_131, multiplication(all_0_2_2, all_0_2_2) = all_149_0_83, yields:
% 18.64/5.10 | (376) all_221_0_131 = all_149_0_83
% 18.64/5.10 |
% 18.64/5.10 | Instantiating formula (31) with all_0_2_2, all_0_2_2, all_101_0_51, all_173_0_95 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_173_0_95, multiplication(all_0_2_2, all_0_2_2) = all_101_0_51, yields:
% 18.64/5.10 | (377) all_173_0_95 = all_101_0_51
% 18.64/5.10 |
% 18.64/5.10 | Instantiating formula (31) with all_0_2_2, all_0_2_2, all_91_0_45, all_173_0_95 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_173_0_95, multiplication(all_0_2_2, all_0_2_2) = all_91_0_45, yields:
% 18.64/5.10 | (378) all_173_0_95 = all_91_0_45
% 18.64/5.10 |
% 18.64/5.10 | Instantiating formula (31) with all_0_2_2, all_0_2_2, all_67_0_29, all_101_0_51 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_101_0_51, multiplication(all_0_2_2, all_0_2_2) = all_67_0_29, yields:
% 18.64/5.10 | (379) all_101_0_51 = all_67_0_29
% 18.64/5.10 |
% 18.64/5.10 | Instantiating formula (31) with all_0_2_2, zero, all_215_0_126, all_9_0_4 and discharging atoms multiplication(all_0_2_2, zero) = all_215_0_126, multiplication(all_0_2_2, zero) = all_9_0_4, yields:
% 18.64/5.10 | (380) all_215_0_126 = all_9_0_4
% 18.64/5.10 |
% 18.64/5.10 | Instantiating formula (31) with all_0_2_2, zero, all_131_0_73, all_215_0_126 and discharging atoms multiplication(all_0_2_2, zero) = all_215_0_126, multiplication(all_0_2_2, zero) = all_131_0_73, yields:
% 18.64/5.10 | (381) all_215_0_126 = all_131_0_73
% 18.64/5.10 |
% 18.64/5.10 | Instantiating formula (31) with all_0_2_2, zero, all_103_0_53, all_131_0_73 and discharging atoms multiplication(all_0_2_2, zero) = all_131_0_73, multiplication(all_0_2_2, zero) = all_103_0_53, yields:
% 18.64/5.10 | (382) all_131_0_73 = all_103_0_53
% 18.64/5.10 |
% 18.64/5.10 | Instantiating formula (31) with all_0_2_2, zero, all_71_0_33, all_103_0_53 and discharging atoms multiplication(all_0_2_2, zero) = all_103_0_53, multiplication(all_0_2_2, zero) = all_71_0_33, yields:
% 18.64/5.10 | (383) all_103_0_53 = all_71_0_33
% 18.64/5.10 |
% 18.64/5.10 | Instantiating formula (35) with all_87_0_43, all_9_0_4 and discharging atoms multiplication(one, all_9_0_4) = all_87_0_43, yields:
% 18.64/5.11 | (384) all_87_0_43 = all_9_0_4
% 18.64/5.11 |
% 18.64/5.11 | Instantiating formula (35) with all_159_0_88, all_9_1_5 and discharging atoms multiplication(one, all_9_1_5) = all_159_0_88, yields:
% 18.64/5.11 | (385) all_159_0_88 = all_9_1_5
% 18.64/5.11 |
% 18.64/5.11 | Instantiating formula (31) with one, all_0_2_2, all_137_0_77, all_209_1_122 and discharging atoms multiplication(one, all_0_2_2) = all_209_1_122, multiplication(one, all_0_2_2) = all_137_0_77, yields:
% 18.64/5.11 | (386) all_209_1_122 = all_137_0_77
% 18.64/5.11 |
% 18.64/5.11 | Instantiating formula (35) with all_137_0_77, all_0_2_2 and discharging atoms multiplication(one, all_0_2_2) = all_137_0_77, yields:
% 18.64/5.11 | (387) all_137_0_77 = all_0_2_2
% 18.64/5.11 |
% 18.64/5.11 | Instantiating formula (31) with one, all_0_2_2, all_123_1_68, all_209_1_122 and discharging atoms multiplication(one, all_0_2_2) = all_209_1_122, multiplication(one, all_0_2_2) = all_123_1_68, yields:
% 18.64/5.11 | (388) all_209_1_122 = all_123_1_68
% 18.64/5.11 |
% 18.64/5.11 | Instantiating formula (35) with all_201_1_116, zero and discharging atoms multiplication(one, zero) = all_201_1_116, yields:
% 18.64/5.11 | (389) all_201_1_116 = zero
% 18.64/5.12 |
% 18.64/5.12 | Instantiating formula (31) with one, zero, all_103_1_54, all_201_1_116 and discharging atoms multiplication(one, zero) = all_201_1_116, multiplication(one, zero) = all_103_1_54, yields:
% 18.64/5.12 | (390) all_201_1_116 = all_103_1_54
% 18.64/5.12 |
% 18.64/5.12 | Instantiating formula (31) with one, zero, all_75_1_37, all_201_1_116 and discharging atoms multiplication(one, zero) = all_201_1_116, multiplication(one, zero) = all_75_1_37, yields:
% 18.64/5.12 | (391) all_201_1_116 = all_75_1_37
% 18.64/5.12 |
% 18.64/5.12 | Instantiating formula (16) with all_219_0_129, all_9_0_4 and discharging atoms multiplication(zero, all_9_0_4) = all_219_0_129, yields:
% 18.64/5.12 | (392) all_219_0_129 = zero
% 18.64/5.12 |
% 18.64/5.12 | Instantiating formula (31) with zero, all_9_0_4, all_153_0_85, all_219_0_129 and discharging atoms multiplication(zero, all_9_0_4) = all_219_0_129, multiplication(zero, all_9_0_4) = all_153_0_85, yields:
% 18.64/5.12 | (393) all_219_0_129 = all_153_0_85
% 18.64/5.12 |
% 18.64/5.12 | Instantiating formula (31) with zero, all_9_0_4, all_119_1_65, all_219_0_129 and discharging atoms multiplication(zero, all_9_0_4) = all_219_0_129, multiplication(zero, all_9_0_4) = all_119_1_65, yields:
% 18.64/5.12 | (394) all_219_0_129 = all_119_1_65
% 18.64/5.12 |
% 18.64/5.12 | Instantiating formula (16) with all_219_1_130, all_9_1_5 and discharging atoms multiplication(zero, all_9_1_5) = all_219_1_130, yields:
% 18.64/5.12 | (395) all_219_1_130 = zero
% 18.64/5.12 |
% 18.64/5.12 | Instantiating formula (31) with zero, all_9_1_5, all_147_0_82, all_219_1_130 and discharging atoms multiplication(zero, all_9_1_5) = all_219_1_130, multiplication(zero, all_9_1_5) = all_147_0_82, yields:
% 18.64/5.12 | (396) all_219_1_130 = all_147_0_82
% 18.64/5.12 |
% 18.64/5.12 | Instantiating formula (31) with zero, all_9_1_5, all_119_0_64, all_147_0_82 and discharging atoms multiplication(zero, all_9_1_5) = all_147_0_82, multiplication(zero, all_9_1_5) = all_119_0_64, yields:
% 18.64/5.12 | (397) all_147_0_82 = all_119_0_64
% 18.64/5.12 |
% 18.64/5.12 | Instantiating formula (16) with all_213_1_125, all_0_2_2 and discharging atoms multiplication(zero, all_0_2_2) = all_213_1_125, yields:
% 18.64/5.12 | (398) all_213_1_125 = zero
% 18.64/5.12 |
% 18.64/5.12 | Instantiating formula (31) with zero, all_0_2_2, all_207_0_119, all_213_1_125 and discharging atoms multiplication(zero, all_0_2_2) = all_213_1_125, multiplication(zero, all_0_2_2) = all_207_0_119, yields:
% 18.64/5.12 | (399) all_213_1_125 = all_207_0_119
% 18.64/5.12 |
% 18.64/5.12 | Instantiating formula (31) with zero, all_0_2_2, all_171_0_94, all_213_1_125 and discharging atoms multiplication(zero, all_0_2_2) = all_213_1_125, multiplication(zero, all_0_2_2) = all_171_0_94, yields:
% 18.64/5.12 | (400) all_213_1_125 = all_171_0_94
% 18.64/5.12 |
% 18.64/5.12 | Instantiating formula (31) with zero, one, all_207_1_120, all_213_0_124 and discharging atoms multiplication(zero, one) = all_213_0_124, multiplication(zero, one) = all_207_1_120, yields:
% 18.64/5.12 | (401) all_213_0_124 = all_207_1_120
% 18.64/5.12 |
% 18.64/5.12 | Instantiating formula (13) with all_207_1_120, zero and discharging atoms multiplication(zero, one) = all_207_1_120, yields:
% 18.64/5.12 | (402) all_207_1_120 = zero
% 18.64/5.12 |
% 18.64/5.12 | Instantiating formula (31) with zero, one, all_141_0_79, all_213_0_124 and discharging atoms multiplication(zero, one) = all_213_0_124, multiplication(zero, one) = all_141_0_79, yields:
% 18.64/5.12 | (403) all_213_0_124 = all_141_0_79
% 18.64/5.12 |
% 18.64/5.12 | Instantiating formula (16) with all_161_0_89, zero and discharging atoms multiplication(zero, zero) = all_161_0_89, yields:
% 18.64/5.12 | (404) all_161_0_89 = zero
% 18.64/5.12 |
% 18.64/5.12 | Instantiating formula (31) with zero, zero, all_133_0_75, all_161_0_89 and discharging atoms multiplication(zero, zero) = all_161_0_89, multiplication(zero, zero) = all_133_0_75, yields:
% 18.64/5.12 | (405) all_161_0_89 = all_133_0_75
% 18.64/5.12 |
% 18.64/5.12 | Instantiating formula (31) with zero, zero, all_133_0_75, all_135_0_76 and discharging atoms multiplication(zero, zero) = all_135_0_76, multiplication(zero, zero) = all_133_0_75, yields:
% 18.64/5.12 | (406) all_135_0_76 = all_133_0_75
% 18.64/5.12 |
% 18.64/5.12 | Instantiating formula (31) with zero, zero, all_117_0_62, all_135_0_76 and discharging atoms multiplication(zero, zero) = all_135_0_76, multiplication(zero, zero) = all_117_0_62, yields:
% 18.64/5.12 | (407) all_135_0_76 = all_117_0_62
% 18.64/5.12 |
% 18.64/5.12 | Instantiating formula (7) with all_9_0_4, one, all_121_0_66, all_189_0_108 and discharging atoms addition(all_9_0_4, one) = all_189_0_108, addition(all_9_0_4, one) = all_121_0_66, yields:
% 18.64/5.12 | (408) all_189_0_108 = all_121_0_66
% 18.64/5.12 |
% 18.64/5.12 | Instantiating formula (7) with all_9_1_5, all_9_0_4, all_115_0_61, all_0_1_1 and discharging atoms addition(all_9_1_5, all_9_0_4) = all_115_0_61, addition(all_9_1_5, all_9_0_4) = all_0_1_1, yields:
% 18.64/5.12 | (409) all_115_0_61 = all_0_1_1
% 18.64/5.12 |
% 18.64/5.12 | Instantiating formula (7) with all_0_2_2, one, all_203_0_117, all_0_1_1 and discharging atoms addition(all_0_2_2, one) = all_203_0_117, addition(all_0_2_2, one) = all_0_1_1, yields:
% 18.64/5.12 | (410) all_203_0_117 = all_0_1_1
% 18.64/5.12 |
% 18.64/5.12 | Instantiating formula (28) with all_105_0_55, zero and discharging atoms addition(zero, zero) = all_105_0_55, yields:
% 18.64/5.12 | (411) all_105_0_55 = zero
% 18.64/5.12 |
% 18.64/5.12 | Combining equations (375,376) yields a new equation:
% 18.64/5.12 | (412) all_173_0_95 = all_149_0_83
% 18.64/5.12 |
% 18.64/5.12 | Simplifying 412 yields:
% 18.64/5.12 | (413) all_173_0_95 = all_149_0_83
% 18.64/5.12 |
% 18.64/5.12 | Combining equations (394,393) yields a new equation:
% 18.64/5.12 | (414) all_153_0_85 = all_119_1_65
% 18.64/5.12 |
% 18.64/5.12 | Combining equations (392,393) yields a new equation:
% 18.64/5.12 | (415) all_153_0_85 = zero
% 18.64/5.12 |
% 18.64/5.12 | Combining equations (396,395) yields a new equation:
% 18.64/5.12 | (416) all_147_0_82 = zero
% 18.64/5.12 |
% 18.64/5.12 | Simplifying 416 yields:
% 18.64/5.12 | (417) all_147_0_82 = zero
% 18.64/5.12 |
% 18.64/5.12 | Combining equations (381,380) yields a new equation:
% 18.64/5.12 | (418) all_131_0_73 = all_9_0_4
% 18.64/5.12 |
% 18.64/5.12 | Simplifying 418 yields:
% 18.64/5.12 | (419) all_131_0_73 = all_9_0_4
% 18.64/5.12 |
% 18.64/5.12 | Combining equations (401,403) yields a new equation:
% 18.64/5.12 | (420) all_207_1_120 = all_141_0_79
% 18.64/5.12 |
% 18.64/5.12 | Simplifying 420 yields:
% 18.64/5.12 | (421) all_207_1_120 = all_141_0_79
% 18.64/5.12 |
% 18.64/5.12 | Combining equations (398,399) yields a new equation:
% 18.64/5.12 | (422) all_207_0_119 = zero
% 18.64/5.12 |
% 18.64/5.12 | Combining equations (400,399) yields a new equation:
% 18.64/5.12 | (423) all_207_0_119 = all_171_0_94
% 18.64/5.12 |
% 18.64/5.12 | Combining equations (386,388) yields a new equation:
% 18.64/5.12 | (424) all_137_0_77 = all_123_1_68
% 18.64/5.12 |
% 18.64/5.12 | Simplifying 424 yields:
% 18.64/5.12 | (425) all_137_0_77 = all_123_1_68
% 18.64/5.12 |
% 18.64/5.12 | Combining equations (423,422) yields a new equation:
% 18.64/5.12 | (426) all_171_0_94 = zero
% 18.64/5.12 |
% 18.64/5.12 | Simplifying 426 yields:
% 18.64/5.12 | (427) all_171_0_94 = zero
% 18.64/5.12 |
% 18.64/5.12 | Combining equations (421,402) yields a new equation:
% 18.64/5.12 | (428) all_141_0_79 = zero
% 18.64/5.12 |
% 18.64/5.12 | Simplifying 428 yields:
% 18.64/5.12 | (429) all_141_0_79 = zero
% 18.64/5.12 |
% 18.64/5.12 | Combining equations (391,390) yields a new equation:
% 18.64/5.12 | (430) all_103_1_54 = all_75_1_37
% 18.64/5.12 |
% 18.64/5.12 | Combining equations (389,390) yields a new equation:
% 18.64/5.12 | (431) all_103_1_54 = zero
% 18.64/5.12 |
% 18.64/5.12 | Combining equations (371,370) yields a new equation:
% 18.64/5.12 | (432) all_55_0_18 = all_25_1_14
% 18.64/5.12 |
% 18.64/5.12 | Simplifying 432 yields:
% 18.64/5.12 | (433) all_55_0_18 = all_25_1_14
% 18.64/5.12 |
% 18.64/5.12 | Combining equations (367,368) yields a new equation:
% 18.64/5.12 | (434) all_145_0_81 = all_89_0_44
% 18.64/5.12 |
% 18.64/5.12 | Simplifying 434 yields:
% 18.64/5.12 | (435) all_145_0_81 = all_89_0_44
% 18.64/5.12 |
% 18.64/5.12 | Combining equations (374,413) yields a new equation:
% 18.64/5.12 | (436) all_149_0_83 = all_19_1_8
% 18.64/5.12 |
% 18.64/5.12 | Combining equations (377,413) yields a new equation:
% 18.64/5.12 | (437) all_149_0_83 = all_101_0_51
% 18.64/5.12 |
% 18.64/5.12 | Combining equations (378,413) yields a new equation:
% 18.64/5.12 | (438) all_149_0_83 = all_91_0_45
% 18.64/5.12 |
% 18.64/5.12 | Combining equations (405,404) yields a new equation:
% 18.64/5.12 | (439) all_133_0_75 = zero
% 18.64/5.12 |
% 18.64/5.12 | Simplifying 439 yields:
% 18.64/5.12 | (440) all_133_0_75 = zero
% 18.64/5.12 |
% 18.64/5.12 | Combining equations (414,415) yields a new equation:
% 18.64/5.12 | (441) all_119_1_65 = zero
% 18.64/5.12 |
% 18.64/5.12 | Simplifying 441 yields:
% 18.64/5.12 | (442) all_119_1_65 = zero
% 18.64/5.12 |
% 18.64/5.12 | Combining equations (436,438) yields a new equation:
% 18.64/5.12 | (443) all_91_0_45 = all_19_1_8
% 18.64/5.12 |
% 18.64/5.12 | Combining equations (437,438) yields a new equation:
% 18.64/5.12 | (444) all_101_0_51 = all_91_0_45
% 18.64/5.12 |
% 18.64/5.12 | Simplifying 444 yields:
% 18.64/5.12 | (445) all_101_0_51 = all_91_0_45
% 18.64/5.12 |
% 18.64/5.12 | Combining equations (397,417) yields a new equation:
% 18.64/5.12 | (446) all_119_0_64 = zero
% 18.64/5.12 |
% 18.64/5.12 | Simplifying 446 yields:
% 18.64/5.12 | (447) all_119_0_64 = zero
% 18.64/5.12 |
% 18.64/5.12 | Combining equations (435,366) yields a new equation:
% 18.64/5.12 | (448) all_89_0_44 = all_31_0_17
% 18.64/5.12 |
% 18.64/5.12 | Simplifying 448 yields:
% 18.64/5.12 | (449) all_89_0_44 = all_31_0_17
% 18.64/5.12 |
% 18.64/5.12 | Combining equations (387,425) yields a new equation:
% 18.64/5.12 | (450) all_123_1_68 = all_0_2_2
% 18.64/5.12 |
% 18.64/5.12 | Combining equations (406,407) yields a new equation:
% 18.64/5.12 | (451) all_133_0_75 = all_117_0_62
% 18.64/5.12 |
% 18.64/5.12 | Simplifying 451 yields:
% 18.64/5.12 | (452) all_133_0_75 = all_117_0_62
% 18.64/5.12 |
% 18.64/5.12 | Combining equations (440,452) yields a new equation:
% 18.64/5.12 | (453) all_117_0_62 = zero
% 18.64/5.12 |
% 18.64/5.12 | Combining equations (382,419) yields a new equation:
% 18.64/5.12 | (454) all_103_0_53 = all_9_0_4
% 18.64/5.12 |
% 18.64/5.12 | Simplifying 454 yields:
% 18.64/5.12 | (455) all_103_0_53 = all_9_0_4
% 18.64/5.12 |
% 18.64/5.12 | Combining equations (383,455) yields a new equation:
% 18.64/5.12 | (456) all_71_0_33 = all_9_0_4
% 18.64/5.12 |
% 18.64/5.12 | Simplifying 456 yields:
% 18.64/5.12 | (457) all_71_0_33 = all_9_0_4
% 18.64/5.12 |
% 18.64/5.12 | Combining equations (430,431) yields a new equation:
% 18.64/5.12 | (458) all_75_1_37 = zero
% 18.64/5.12 |
% 18.64/5.12 | Simplifying 458 yields:
% 18.64/5.12 | (459) all_75_1_37 = zero
% 18.64/5.12 |
% 18.64/5.12 | Combining equations (445,379) yields a new equation:
% 18.64/5.12 | (460) all_91_0_45 = all_67_0_29
% 18.64/5.12 |
% 18.64/5.12 | Simplifying 460 yields:
% 18.64/5.12 | (461) all_91_0_45 = all_67_0_29
% 18.64/5.12 |
% 18.64/5.12 | Combining equations (443,461) yields a new equation:
% 18.64/5.12 | (462) all_67_0_29 = all_19_1_8
% 18.64/5.12 |
% 18.64/5.12 | Combining equations (453,452) yields a new equation:
% 18.64/5.12 | (440) all_133_0_75 = zero
% 18.64/5.12 |
% 18.64/5.12 | Combining equations (453,407) yields a new equation:
% 18.64/5.12 | (464) all_135_0_76 = zero
% 18.64/5.12 |
% 18.64/5.12 | Combining equations (431,390) yields a new equation:
% 18.64/5.12 | (389) all_201_1_116 = zero
% 18.64/5.12 |
% 18.64/5.12 | From (370) and (321) follows:
% 18.64/5.12 | (466) multiplication(all_25_1_14, all_0_1_1) = all_25_1_14
% 18.64/5.12 |
% 18.64/5.12 | From (449) and (196) follows:
% 18.64/5.13 | (467) multiplication(all_31_0_17, one) = all_31_0_17
% 18.64/5.13 |
% 18.64/5.13 | From (364) and (240) follows:
% 18.64/5.13 | (174) multiplication(all_21_1_10, all_0_2_2) = all_59_1_23
% 18.64/5.13 |
% 18.64/5.13 | From (365) and (362) follows:
% 18.64/5.13 | (189) multiplication(all_21_1_10, zero) = all_75_0_36
% 18.64/5.13 |
% 18.64/5.13 | From (449) and (197) follows:
% 18.64/5.13 | (80) multiplication(all_9_1_5, all_0_2_2) = all_31_0_17
% 18.64/5.13 |
% 18.64/5.13 | From (369) and (203) follows:
% 18.64/5.13 | (471) multiplication(all_9_1_5, one) = all_9_1_5
% 18.64/5.13 |
% 18.64/5.13 | From (433) and (170) follows:
% 18.64/5.13 | (71) multiplication(all_9_1_5, zero) = all_25_1_14
% 18.64/5.13 |
% 18.64/5.13 | From (372) and (318) follows:
% 18.64/5.13 | (297) multiplication(all_0_1_1, all_0_1_1) = all_177_0_98
% 18.64/5.13 |
% 18.64/5.13 | From (440) and (254) follows:
% 18.64/5.13 | (474) multiplication(all_0_2_2, zero) = all_25_0_13
% 18.64/5.13 |
% 18.64/5.13 | From (373) and (205) follows:
% 18.64/5.13 | (182) multiplication(all_0_2_2, all_21_1_10) = all_69_1_32
% 18.84/5.13 |
% 18.84/5.13 | From (462) and (178) follows:
% 18.84/5.13 | (97) multiplication(all_0_2_2, all_0_2_2) = all_19_1_8
% 18.84/5.13 |
% 18.84/5.13 | From (457) and (186) follows:
% 18.84/5.13 | (96) multiplication(all_0_2_2, zero) = all_9_0_4
% 18.84/5.13 |
% 18.84/5.13 | From (427) and (287) follows:
% 18.84/5.13 | (478) multiplication(all_0_3_3, zero) = all_19_1_8
% 18.84/5.13 |
% 18.84/5.13 | From (415) and (278) follows:
% 18.84/5.13 | (479) multiplication(all_0_3_3, zero) = all_21_0_9
% 18.84/5.13 |
% 18.84/5.13 | From (417) and (272) follows:
% 18.84/5.13 | (480) multiplication(all_0_3_3, zero) = all_21_1_10
% 18.84/5.13 |
% 18.84/5.13 | From (429) and (263) follows:
% 18.84/5.13 | (34) multiplication(all_0_3_3, zero) = all_0_2_2
% 18.84/5.13 |
% 18.84/5.13 | From (464) and (257) follows:
% 18.84/5.13 | (482) multiplication(all_0_3_3, zero) = all_9_0_4
% 18.84/5.13 |
% 18.84/5.13 | From (384) and (194) follows:
% 18.84/5.13 | (483) multiplication(one, all_9_0_4) = all_9_0_4
% 18.84/5.13 |
% 18.84/5.13 | From (385) and (282) follows:
% 18.84/5.13 | (484) multiplication(one, all_9_1_5) = all_9_1_5
% 18.84/5.13 |
% 18.84/5.13 | From (459) and (190) follows:
% 18.84/5.13 | (89) multiplication(one, zero) = zero
% 18.84/5.13 |
% 18.84/5.13 | From (372) and (319) follows:
% 18.84/5.13 | (486) multiplication(zero, all_177_0_98) = zero
% 18.84/5.13 |
% 18.84/5.13 | From (442) and (233) follows:
% 18.84/5.13 | (487) multiplication(zero, all_9_0_4) = zero
% 18.84/5.13 |
% 18.84/5.13 | From (447) and (234) follows:
% 18.84/5.13 | (488) multiplication(zero, all_9_1_5) = zero
% 18.84/5.13 |
% 18.84/5.13 | From (429) and (264) follows:
% 18.84/5.13 | (489) multiplication(zero, one) = zero
% 18.84/5.13 |
% 18.84/5.13 | From (453) and (230) follows:
% 18.84/5.13 | (490) multiplication(zero, zero) = zero
% 18.84/5.13 |
% 18.84/5.13 | From (389) and (326) follows:
% 18.84/5.13 | (491) addition(zero, all_201_0_115) = all_25_1_14
% 18.84/5.13 |
% 18.84/5.13 | From (450)(364) and (242) follows:
% 18.84/5.13 | (492) addition(all_0_2_2, all_59_1_23) = all_31_0_17
% 18.84/5.13 |
% 18.84/5.13 | From (409) and (226) follows:
% 18.84/5.13 | (493) addition(all_0_1_1, zero) = all_0_1_1
% 18.84/5.13 |
% 18.84/5.13 | From (431)(455) and (215) follows:
% 18.84/5.13 | (494) addition(zero, all_9_0_4) = all_9_0_4
% 18.84/5.13 |
% 18.84/5.13 | From (459) and (191) follows:
% 18.84/5.13 | (495) addition(zero, all_75_0_36) = all_25_1_14
% 18.84/5.13 |
% 18.84/5.13 | From (408) and (309) follows:
% 18.84/5.13 | (238) addition(all_9_0_4, one) = all_121_0_66
% 18.84/5.13 |
% 18.84/5.13 | From (410) and (329) follows:
% 18.84/5.13 | (105) addition(all_0_2_2, one) = all_0_1_1
% 18.84/5.13 |
% 18.84/5.13 | From (411) and (218) follows:
% 18.84/5.13 | (498) addition(zero, zero) = zero
% 18.84/5.13 |
% 18.84/5.13 | Instantiating formula (31) with all_0_2_2, zero, all_25_0_13, all_9_0_4 and discharging atoms multiplication(all_0_2_2, zero) = all_25_0_13, multiplication(all_0_2_2, zero) = all_9_0_4, yields:
% 18.84/5.13 | (499) all_25_0_13 = all_9_0_4
% 18.84/5.13 |
% 18.84/5.13 | Instantiating formula (31) with all_0_3_3, zero, all_21_1_10, all_0_2_2 and discharging atoms multiplication(all_0_3_3, zero) = all_21_1_10, multiplication(all_0_3_3, zero) = all_0_2_2, yields:
% 18.84/5.13 | (500) all_21_1_10 = all_0_2_2
% 18.84/5.13 |
% 18.84/5.13 | Instantiating formula (31) with all_0_3_3, zero, all_21_1_10, all_21_0_9 and discharging atoms multiplication(all_0_3_3, zero) = all_21_0_9, multiplication(all_0_3_3, zero) = all_21_1_10, yields:
% 18.84/5.13 | (501) all_21_0_9 = all_21_1_10
% 18.84/5.13 |
% 18.84/5.13 | Instantiating formula (31) with all_0_3_3, zero, all_19_1_8, all_21_0_9 and discharging atoms multiplication(all_0_3_3, zero) = all_21_0_9, multiplication(all_0_3_3, zero) = all_19_1_8, yields:
% 18.84/5.13 | (502) all_21_0_9 = all_19_1_8
% 18.84/5.13 |
% 18.84/5.13 | Instantiating formula (31) with all_0_3_3, zero, all_9_0_4, all_21_1_10 and discharging atoms multiplication(all_0_3_3, zero) = all_21_1_10, multiplication(all_0_3_3, zero) = all_9_0_4, yields:
% 18.84/5.13 | (503) all_21_1_10 = all_9_0_4
% 18.84/5.13 |
% 18.84/5.13 | Combining equations (501,502) yields a new equation:
% 18.84/5.13 | (504) all_21_1_10 = all_19_1_8
% 18.84/5.13 |
% 18.84/5.13 | Simplifying 504 yields:
% 18.84/5.13 | (505) all_21_1_10 = all_19_1_8
% 18.84/5.13 |
% 18.84/5.13 | Combining equations (503,505) yields a new equation:
% 18.84/5.13 | (506) all_19_1_8 = all_9_0_4
% 18.84/5.13 |
% 18.84/5.13 | Combining equations (500,505) yields a new equation:
% 18.84/5.13 | (507) all_19_1_8 = all_0_2_2
% 18.84/5.13 |
% 18.84/5.13 | Combining equations (507,506) yields a new equation:
% 18.84/5.13 | (508) all_9_0_4 = all_0_2_2
% 18.84/5.13 |
% 18.84/5.13 | Combining equations (508,506) yields a new equation:
% 18.84/5.13 | (507) all_19_1_8 = all_0_2_2
% 18.84/5.13 |
% 18.84/5.13 | Combining equations (507,505) yields a new equation:
% 18.84/5.13 | (500) all_21_1_10 = all_0_2_2
% 18.84/5.13 |
% 18.84/5.13 | Combining equations (507,502) yields a new equation:
% 18.84/5.13 | (511) all_21_0_9 = all_0_2_2
% 18.84/5.13 |
% 18.84/5.13 | Combining equations (508,499) yields a new equation:
% 18.84/5.13 | (512) all_25_0_13 = all_0_2_2
% 18.84/5.13 |
% 18.84/5.13 | From (508) and (247) follows:
% 18.84/5.13 | (513) multiplication(all_129_0_72, zero) = all_0_2_2
% 18.84/5.13 |
% 18.84/5.13 | From (512) and (349) follows:
% 18.84/5.13 | (514) multiplication(all_0_2_2, zero) = all_217_0_127
% 18.84/5.13 |
% 18.84/5.13 | From (511)(508) and (304) follows:
% 18.84/5.13 | (515) multiplication(all_0_2_2, all_0_2_2) = all_185_0_105
% 18.84/5.13 |
% 18.84/5.13 | From (511) and (173) follows:
% 18.84/5.13 | (516) multiplication(all_0_2_2, all_0_2_2) = all_59_0_22
% 18.84/5.13 |
% 18.84/5.13 | From (511) and (361) follows:
% 18.84/5.13 | (517) multiplication(all_0_2_2, zero) = all_229_0_138
% 18.84/5.13 |
% 18.84/5.13 | From (500)(508) and (305) follows:
% 18.84/5.13 | (518) multiplication(all_0_2_2, all_0_2_2) = all_185_1_106
% 18.84/5.13 |
% 18.84/5.13 | From (500) and (174) follows:
% 18.84/5.13 | (519) multiplication(all_0_2_2, all_0_2_2) = all_59_1_23
% 18.84/5.13 |
% 18.84/5.13 | From (500) and (189) follows:
% 18.84/5.13 | (520) multiplication(all_0_2_2, zero) = all_75_0_36
% 18.84/5.13 |
% 18.84/5.13 | From (507)(508) and (293) follows:
% 18.84/5.13 | (521) multiplication(all_0_2_2, all_0_2_2) = all_175_1_97
% 18.84/5.13 |
% 18.84/5.13 | From (507) and (357) follows:
% 18.84/5.13 | (522) multiplication(all_0_2_2, all_0_2_2) = all_221_1_132
% 18.84/5.13 |
% 18.84/5.13 | From (512) and (314) follows:
% 18.84/5.13 | (523) multiplication(all_0_2_2, all_0_2_2) = all_193_0_110
% 18.84/5.13 |
% 18.84/5.13 | From (511) and (181) follows:
% 18.84/5.13 | (524) multiplication(all_0_2_2, all_0_2_2) = all_69_0_31
% 18.84/5.13 |
% 18.84/5.13 | From (500) and (182) follows:
% 18.84/5.13 | (525) multiplication(all_0_2_2, all_0_2_2) = all_69_1_32
% 18.84/5.13 |
% 18.84/5.13 | From (507) and (177) follows:
% 18.84/5.13 | (526) multiplication(all_0_2_2, all_0_2_2) = all_67_1_30
% 18.84/5.13 |
% 18.84/5.13 | From (507) and (97) follows:
% 18.84/5.13 | (527) multiplication(all_0_2_2, all_0_2_2) = all_0_2_2
% 18.84/5.13 |
% 18.84/5.13 | From (508) and (96) follows:
% 18.84/5.13 | (528) multiplication(all_0_2_2, zero) = all_0_2_2
% 18.84/5.14 |
% 18.84/5.14 | From (508)(508) and (483) follows:
% 18.84/5.14 | (529) multiplication(one, all_0_2_2) = all_0_2_2
% 18.84/5.14 |
% 18.84/5.14 | From (508) and (487) follows:
% 18.84/5.14 | (530) multiplication(zero, all_0_2_2) = zero
% 18.84/5.14 |
% 18.84/5.14 | From (508) and (223) follows:
% 18.84/5.14 | (531) addition(all_31_0_17, all_0_2_2) = all_109_0_57
% 18.84/5.14 |
% 18.84/5.14 | From (512) and (244) follows:
% 18.84/5.14 | (532) addition(all_0_2_2, all_9_1_5) = all_127_0_71
% 18.84/5.14 |
% 18.84/5.14 | From (511) and (331) follows:
% 18.84/5.14 | (533) addition(all_0_2_2, one) = all_205_0_118
% 18.84/5.14 |
% 18.84/5.14 | From (500) and (164) follows:
% 18.84/5.14 | (534) addition(all_0_2_2, one) = all_9_1_5
% 18.84/5.14 |
% 18.84/5.14 | From (508) and (220) follows:
% 18.84/5.14 | (535) addition(all_0_2_2, all_107_0_56) = all_0_1_1
% 18.84/5.14 |
% 18.84/5.14 | From (508) and (56) follows:
% 18.84/5.14 | (536) addition(all_0_2_2, all_9_1_5) = all_0_1_1
% 18.84/5.14 |
% 18.84/5.14 | From (508) and (238) follows:
% 18.84/5.14 | (537) addition(all_0_2_2, one) = all_121_0_66
% 18.84/5.14 |
% 18.84/5.14 | From (508)(508) and (494) follows:
% 18.84/5.14 | (538) addition(zero, all_0_2_2) = all_0_2_2
% 18.84/5.14 |
% 18.84/5.14 | Instantiating formula (31) with all_0_2_2, all_0_2_2, all_185_1_106, all_221_1_132 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_221_1_132, multiplication(all_0_2_2, all_0_2_2) = all_185_1_106, yields:
% 18.84/5.14 | (539) all_221_1_132 = all_185_1_106
% 18.84/5.14 |
% 18.84/5.14 | Instantiating formula (31) with all_0_2_2, all_0_2_2, all_185_1_106, all_193_0_110 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_193_0_110, multiplication(all_0_2_2, all_0_2_2) = all_185_1_106, yields:
% 18.84/5.14 | (540) all_193_0_110 = all_185_1_106
% 18.84/5.14 |
% 18.84/5.14 | Instantiating formula (31) with all_0_2_2, all_0_2_2, all_175_1_97, all_193_0_110 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_193_0_110, multiplication(all_0_2_2, all_0_2_2) = all_175_1_97, yields:
% 18.84/5.14 | (541) all_193_0_110 = all_175_1_97
% 18.84/5.14 |
% 18.84/5.14 | Instantiating formula (31) with all_0_2_2, all_0_2_2, all_69_0_31, all_185_0_105 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_185_0_105, multiplication(all_0_2_2, all_0_2_2) = all_69_0_31, yields:
% 18.84/5.14 | (542) all_185_0_105 = all_69_0_31
% 18.84/5.14 |
% 18.84/5.14 | Instantiating formula (31) with all_0_2_2, all_0_2_2, all_69_1_32, all_185_1_106 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_185_1_106, multiplication(all_0_2_2, all_0_2_2) = all_69_1_32, yields:
% 18.84/5.14 | (543) all_185_1_106 = all_69_1_32
% 18.84/5.14 |
% 18.84/5.14 | Instantiating formula (31) with all_0_2_2, all_0_2_2, all_67_1_30, all_185_0_105 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_185_0_105, multiplication(all_0_2_2, all_0_2_2) = all_67_1_30, yields:
% 18.84/5.14 | (544) all_185_0_105 = all_67_1_30
% 18.84/5.14 |
% 18.84/5.14 | Instantiating formula (31) with all_0_2_2, all_0_2_2, all_67_1_30, all_69_1_32 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_69_1_32, multiplication(all_0_2_2, all_0_2_2) = all_67_1_30, yields:
% 18.84/5.14 | (545) all_69_1_32 = all_67_1_30
% 18.84/5.14 |
% 18.84/5.14 | Instantiating formula (31) with all_0_2_2, all_0_2_2, all_59_0_22, all_221_1_132 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_221_1_132, multiplication(all_0_2_2, all_0_2_2) = all_59_0_22, yields:
% 18.84/5.14 | (546) all_221_1_132 = all_59_0_22
% 18.84/5.14 |
% 18.84/5.14 | Instantiating formula (31) with all_0_2_2, all_0_2_2, all_59_1_23, all_67_1_30 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_67_1_30, multiplication(all_0_2_2, all_0_2_2) = all_59_1_23, yields:
% 18.84/5.14 | (547) all_67_1_30 = all_59_1_23
% 18.84/5.14 |
% 18.84/5.14 | Instantiating formula (31) with all_0_2_2, all_0_2_2, all_0_2_2, all_185_0_105 and discharging atoms multiplication(all_0_2_2, all_0_2_2) = all_185_0_105, multiplication(all_0_2_2, all_0_2_2) = all_0_2_2, yields:
% 18.84/5.14 | (548) all_185_0_105 = all_0_2_2
% 18.84/5.14 |
% 18.84/5.14 | Instantiating formula (31) with all_0_2_2, zero, all_217_0_127, all_229_0_138 and discharging atoms multiplication(all_0_2_2, zero) = all_229_0_138, multiplication(all_0_2_2, zero) = all_217_0_127, yields:
% 18.84/5.14 | (549) all_229_0_138 = all_217_0_127
% 18.84/5.14 |
% 18.84/5.14 | Instantiating formula (31) with all_0_2_2, zero, all_75_0_36, all_217_0_127 and discharging atoms multiplication(all_0_2_2, zero) = all_217_0_127, multiplication(all_0_2_2, zero) = all_75_0_36, yields:
% 18.84/5.14 | (550) all_217_0_127 = all_75_0_36
% 18.84/5.14 |
% 18.84/5.14 | Instantiating formula (31) with all_0_2_2, zero, all_0_2_2, all_229_0_138 and discharging atoms multiplication(all_0_2_2, zero) = all_229_0_138, multiplication(all_0_2_2, zero) = all_0_2_2, yields:
% 18.84/5.14 | (551) all_229_0_138 = all_0_2_2
% 18.84/5.14 |
% 18.84/5.14 | Instantiating formula (7) with all_0_2_2, all_9_1_5, all_0_1_1, all_127_0_71 and discharging atoms addition(all_0_2_2, all_9_1_5) = all_127_0_71, addition(all_0_2_2, all_9_1_5) = all_0_1_1, yields:
% 18.90/5.14 | (552) all_127_0_71 = all_0_1_1
% 18.90/5.14 |
% 18.90/5.14 | Instantiating formula (7) with all_0_2_2, one, all_121_0_66, all_0_1_1 and discharging atoms addition(all_0_2_2, one) = all_121_0_66, addition(all_0_2_2, one) = all_0_1_1, yields:
% 18.90/5.14 | (553) all_121_0_66 = all_0_1_1
% 18.90/5.14 |
% 18.90/5.14 | Instantiating formula (7) with all_0_2_2, one, all_121_0_66, all_205_0_118 and discharging atoms addition(all_0_2_2, one) = all_205_0_118, addition(all_0_2_2, one) = all_121_0_66, yields:
% 18.90/5.14 | (554) all_205_0_118 = all_121_0_66
% 18.90/5.14 |
% 18.90/5.14 | Instantiating formula (7) with all_0_2_2, one, all_9_1_5, all_205_0_118 and discharging atoms addition(all_0_2_2, one) = all_205_0_118, addition(all_0_2_2, one) = all_9_1_5, yields:
% 18.90/5.14 | (555) all_205_0_118 = all_9_1_5
% 18.90/5.14 |
% 18.90/5.14 | Combining equations (549,551) yields a new equation:
% 18.90/5.14 | (556) all_217_0_127 = all_0_2_2
% 18.90/5.14 |
% 18.90/5.14 | Simplifying 556 yields:
% 18.90/5.14 | (557) all_217_0_127 = all_0_2_2
% 18.90/5.14 |
% 18.90/5.14 | Combining equations (539,546) yields a new equation:
% 18.90/5.14 | (558) all_185_1_106 = all_59_0_22
% 18.90/5.14 |
% 18.90/5.14 | Simplifying 558 yields:
% 18.90/5.14 | (559) all_185_1_106 = all_59_0_22
% 18.90/5.14 |
% 18.90/5.14 | Combining equations (550,557) yields a new equation:
% 18.90/5.14 | (560) all_75_0_36 = all_0_2_2
% 18.90/5.14 |
% 18.90/5.14 | Simplifying 560 yields:
% 18.90/5.14 | (561) all_75_0_36 = all_0_2_2
% 18.90/5.14 |
% 18.90/5.14 | Combining equations (554,555) yields a new equation:
% 18.90/5.14 | (562) all_121_0_66 = all_9_1_5
% 18.90/5.14 |
% 18.90/5.14 | Simplifying 562 yields:
% 18.90/5.14 | (563) all_121_0_66 = all_9_1_5
% 18.90/5.14 |
% 18.90/5.14 | Combining equations (540,541) yields a new equation:
% 18.90/5.14 | (564) all_185_1_106 = all_175_1_97
% 18.90/5.14 |
% 18.90/5.14 | Simplifying 564 yields:
% 18.90/5.14 | (565) all_185_1_106 = all_175_1_97
% 18.90/5.14 |
% 18.90/5.14 | Combining equations (544,542) yields a new equation:
% 18.90/5.14 | (566) all_69_0_31 = all_67_1_30
% 18.90/5.14 |
% 18.90/5.14 | Combining equations (548,542) yields a new equation:
% 18.90/5.14 | (567) all_69_0_31 = all_0_2_2
% 18.90/5.14 |
% 18.90/5.14 | Combining equations (543,565) yields a new equation:
% 18.90/5.14 | (568) all_175_1_97 = all_69_1_32
% 18.90/5.14 |
% 18.90/5.14 | Combining equations (559,565) yields a new equation:
% 18.90/5.14 | (569) all_175_1_97 = all_59_0_22
% 18.90/5.14 |
% 18.90/5.14 | Combining equations (568,569) yields a new equation:
% 18.90/5.14 | (570) all_69_1_32 = all_59_0_22
% 18.90/5.14 |
% 18.90/5.14 | Simplifying 570 yields:
% 18.90/5.14 | (571) all_69_1_32 = all_59_0_22
% 18.90/5.14 |
% 18.90/5.14 | Combining equations (553,563) yields a new equation:
% 18.90/5.14 | (572) all_9_1_5 = all_0_1_1
% 18.90/5.14 |
% 18.90/5.14 | Combining equations (566,567) yields a new equation:
% 18.90/5.14 | (573) all_67_1_30 = all_0_2_2
% 18.90/5.14 |
% 18.90/5.14 | Simplifying 573 yields:
% 18.90/5.14 | (574) all_67_1_30 = all_0_2_2
% 18.90/5.14 |
% 18.90/5.14 | Combining equations (545,571) yields a new equation:
% 18.90/5.14 | (575) all_67_1_30 = all_59_0_22
% 18.90/5.14 |
% 18.90/5.14 | Simplifying 575 yields:
% 18.90/5.14 | (576) all_67_1_30 = all_59_0_22
% 18.90/5.14 |
% 18.90/5.14 | Combining equations (547,576) yields a new equation:
% 18.90/5.14 | (577) all_59_0_22 = all_59_1_23
% 18.90/5.14 |
% 18.90/5.14 | Combining equations (574,576) yields a new equation:
% 18.90/5.14 | (578) all_59_0_22 = all_0_2_2
% 18.90/5.14 |
% 18.90/5.14 | Combining equations (577,578) yields a new equation:
% 18.90/5.14 | (579) all_59_1_23 = all_0_2_2
% 18.90/5.14 |
% 18.90/5.14 | Simplifying 579 yields:
% 18.90/5.14 | (580) all_59_1_23 = all_0_2_2
% 18.90/5.14 |
% 18.90/5.14 | From (572) and (42) follows:
% 18.90/5.14 | (581) star(all_0_2_2) = all_0_1_1
% 18.90/5.14 |
% 18.90/5.14 | From (572) and (80) follows:
% 18.90/5.14 | (582) multiplication(all_0_1_1, all_0_2_2) = all_31_0_17
% 18.90/5.14 |
% 18.90/5.14 | From (572)(572) and (471) follows:
% 18.90/5.14 | (583) multiplication(all_0_1_1, one) = all_0_1_1
% 18.90/5.14 |
% 18.90/5.14 | From (572) and (71) follows:
% 18.90/5.14 | (584) multiplication(all_0_1_1, zero) = all_25_1_14
% 18.90/5.14 |
% 18.90/5.14 | From (572) and (266) follows:
% 18.90/5.14 | (585) multiplication(all_0_1_1, all_0_1_1) = all_143_0_80
% 18.90/5.14 |
% 18.90/5.14 | From (561) and (520) follows:
% 18.90/5.14 | (528) multiplication(all_0_2_2, zero) = all_0_2_2
% 18.90/5.14 |
% 18.90/5.14 | From (572)(572) and (484) follows:
% 18.90/5.14 | (587) multiplication(one, all_0_1_1) = all_0_1_1
% 18.90/5.14 |
% 18.90/5.14 | From (572) and (488) follows:
% 18.90/5.14 | (90) multiplication(zero, all_0_1_1) = zero
% 18.90/5.14 |
% 18.90/5.14 | From (572) and (159) follows:
% 18.90/5.14 | (589) addition(all_31_0_17, one) = all_0_1_1
% 18.90/5.14 |
% 18.90/5.14 | From (552) and (245) follows:
% 18.90/5.14 | (590) addition(all_25_1_14, all_0_1_1) = all_0_1_1
% 18.90/5.15 |
% 18.90/5.15 | From (572) and (312) follows:
% 18.90/5.15 | (591) addition(all_0_1_1, all_25_1_14) = all_191_0_109
% 18.90/5.15 |
% 18.90/5.15 | From (580) and (492) follows:
% 18.90/5.15 | (592) addition(all_0_2_2, all_0_2_2) = all_31_0_17
% 18.90/5.15 |
% 18.90/5.15 | From (561) and (495) follows:
% 18.90/5.15 | (593) addition(zero, all_0_2_2) = all_25_1_14
% 18.90/5.15 |
% 18.90/5.15 | From (572) and (221) follows:
% 18.90/5.15 | (594) addition(zero, all_0_1_1) = all_107_0_56
% 18.90/5.15 |
% 18.90/5.15 | Instantiating formula (31) with all_0_1_1, all_0_1_1, all_143_0_80, all_177_0_98 and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_177_0_98, multiplication(all_0_1_1, all_0_1_1) = all_143_0_80, yields:
% 18.90/5.15 | (595) all_177_0_98 = all_143_0_80
% 18.90/5.15 |
% 18.90/5.15 | Instantiating formula (15) with all_191_0_109, all_25_1_14, all_0_1_1, all_0_1_1, all_0_2_2 and discharging atoms strong_iteration(all_0_2_2) = all_0_1_1, star(all_0_2_2) = all_0_1_1, multiplication(all_0_1_1, zero) = all_25_1_14, addition(all_0_1_1, all_25_1_14) = all_191_0_109, yields:
% 18.90/5.15 | (596) all_191_0_109 = all_0_1_1
% 18.90/5.15 |
% 18.90/5.15 | Instantiating formula (28) with all_31_0_17, all_0_2_2 and discharging atoms addition(all_0_2_2, all_0_2_2) = all_31_0_17, yields:
% 18.90/5.15 | (597) all_31_0_17 = all_0_2_2
% 18.90/5.15 |
% 18.90/5.15 | Instantiating formula (7) with zero, all_0_2_2, all_25_1_14, all_0_2_2 and discharging atoms addition(zero, all_0_2_2) = all_25_1_14, addition(zero, all_0_2_2) = all_0_2_2, yields:
% 18.90/5.15 | (598) all_25_1_14 = all_0_2_2
% 18.90/5.15 |
% 18.90/5.15 | From (597)(597) and (467) follows:
% 18.90/5.15 | (87) multiplication(all_0_2_2, one) = all_0_2_2
% 18.90/5.15 |
% 18.90/5.15 | From (597) and (324) follows:
% 18.90/5.15 | (600) multiplication(all_0_2_2, zero) = all_201_0_115
% 18.90/5.15 |
% 18.90/5.15 | From (598)(598) and (466) follows:
% 18.90/5.15 | (98) multiplication(all_0_2_2, all_0_1_1) = all_0_2_2
% 18.90/5.15 |
% 18.90/5.15 | From (598) and (350) follows:
% 18.90/5.15 | (602) multiplication(all_0_2_2, zero) = all_217_1_128
% 18.90/5.15 |
% 18.90/5.15 | From (595) and (297) follows:
% 18.90/5.15 | (585) multiplication(all_0_1_1, all_0_1_1) = all_143_0_80
% 18.90/5.15 |
% 18.90/5.15 | From (597) and (582) follows:
% 18.90/5.15 | (604) multiplication(all_0_1_1, all_0_2_2) = all_0_2_2
% 18.90/5.15 |
% 18.90/5.15 | From (598) and (584) follows:
% 18.90/5.15 | (605) multiplication(all_0_1_1, zero) = all_0_2_2
% 18.90/5.15 |
% 18.90/5.15 | From (595) and (298) follows:
% 18.90/5.15 | (606) multiplication(all_0_2_2, all_143_0_80) = all_0_2_2
% 18.90/5.15 |
% 18.90/5.15 | From (595) and (486) follows:
% 18.90/5.15 | (607) multiplication(zero, all_143_0_80) = zero
% 18.90/5.15 |
% 18.90/5.15 | From (597) and (531) follows:
% 18.90/5.15 | (608) addition(all_0_2_2, all_0_2_2) = all_109_0_57
% 18.90/5.15 |
% 18.90/5.15 | From (597) and (589) follows:
% 18.90/5.15 | (105) addition(all_0_2_2, one) = all_0_1_1
% 18.90/5.15 |
% 18.90/5.15 | From (598) and (590) follows:
% 18.90/5.15 | (610) addition(all_0_2_2, all_0_1_1) = all_0_1_1
% 18.90/5.15 |
% 18.90/5.15 | From (598)(596) and (591) follows:
% 18.90/5.15 | (611) addition(all_0_1_1, all_0_2_2) = all_0_1_1
% 18.90/5.15 |
% 18.90/5.15 | From (598) and (491) follows:
% 18.90/5.15 | (612) addition(zero, all_201_0_115) = all_0_2_2
% 18.90/5.15 |
% 18.90/5.15 | Instantiating formula (31) with all_0_2_2, zero, all_217_1_128, all_0_2_2 and discharging atoms multiplication(all_0_2_2, zero) = all_217_1_128, multiplication(all_0_2_2, zero) = all_0_2_2, yields:
% 18.90/5.15 | (613) all_217_1_128 = all_0_2_2
% 18.90/5.15 |
% 18.90/5.15 | Instantiating formula (31) with all_0_2_2, zero, all_201_0_115, all_217_1_128 and discharging atoms multiplication(all_0_2_2, zero) = all_217_1_128, multiplication(all_0_2_2, zero) = all_201_0_115, yields:
% 18.90/5.15 | (614) all_217_1_128 = all_201_0_115
% 18.90/5.15 |
% 18.90/5.15 | Instantiating formula (28) with all_109_0_57, all_0_2_2 and discharging atoms addition(all_0_2_2, all_0_2_2) = all_109_0_57, yields:
% 18.90/5.15 | (615) all_109_0_57 = all_0_2_2
% 18.90/5.15 |
% 18.90/5.15 | Combining equations (614,613) yields a new equation:
% 18.90/5.15 | (616) all_201_0_115 = all_0_2_2
% 18.90/5.15 |
% 18.90/5.15 | Simplifying 616 yields:
% 18.90/5.15 | (617) all_201_0_115 = all_0_2_2
% 18.90/5.15 |
% 18.90/5.15 | From (617) and (600) follows:
% 18.90/5.15 | (528) multiplication(all_0_2_2, zero) = all_0_2_2
% 18.90/5.15 |
% 18.90/5.15 | From (615) and (608) follows:
% 18.90/5.15 | (619) addition(all_0_2_2, all_0_2_2) = all_0_2_2
% 18.90/5.15 |
% 18.90/5.15 | From (615) and (224) follows:
% 18.90/5.15 | (103) addition(one, all_0_2_2) = all_0_1_1
% 18.90/5.15 |
% 18.90/5.15 | From (617) and (612) follows:
% 18.90/5.15 | (538) addition(zero, all_0_2_2) = all_0_2_2
% 18.90/5.15 |
% 18.90/5.15 | Instantiating formula (26) with all_0_2_2, all_0_2_2, all_0_2_2, all_0_1_1, all_0_1_1 and discharging atoms multiplication(all_0_1_1, all_0_2_2) = all_0_2_2, yields:
% 18.90/5.15 | (622) ? [v0] : (multiplication(v0, all_0_2_2) = all_0_2_2 & multiplication(all_0_1_1, all_0_1_1) = v0)
% 18.90/5.15 |
% 18.90/5.15 | Instantiating formula (26) with all_143_0_80, 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_143_0_80, multiplication(all_0_1_1, one) = all_0_1_1, yields:
% 18.90/5.15 | (623) ? [v0] : (multiplication(v0, one) = all_143_0_80 & multiplication(all_0_1_1, all_0_1_1) = v0)
% 18.90/5.15 |
% 18.90/5.15 | Instantiating formula (26) with all_0_2_2, all_0_2_2, zero, all_0_1_1, all_0_1_1 and discharging atoms multiplication(all_0_1_1, all_0_2_2) = all_0_2_2, multiplication(all_0_1_1, zero) = all_0_2_2, yields:
% 18.90/5.15 | (624) ? [v0] : (multiplication(v0, zero) = all_0_2_2 & multiplication(all_0_1_1, all_0_1_1) = v0)
% 18.90/5.15 |
% 18.90/5.15 | Instantiating formula (25) with all_143_0_80, 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_143_0_80, multiplication(one, all_0_1_1) = all_0_1_1, yields:
% 18.90/5.15 | (625) ? [v0] : (multiplication(all_0_1_1, all_0_1_1) = v0 & multiplication(one, v0) = all_143_0_80)
% 18.90/5.15 |
% 18.90/5.15 | Instantiating formula (20) with all_0_1_1, all_0_2_2, all_0_1_1, all_0_1_1, all_0_2_2, one and discharging atoms multiplication(all_0_2_2, all_0_1_1) = all_0_2_2, multiplication(one, all_0_1_1) = all_0_1_1, addition(all_0_1_1, all_0_2_2) = all_0_1_1, yields:
% 18.90/5.15 | (626) ? [v0] : (multiplication(v0, all_0_1_1) = all_0_1_1 & addition(one, all_0_2_2) = v0)
% 18.90/5.15 |
% 18.90/5.15 | Instantiating formula (12) with all_143_0_80, all_0_1_1, all_0_1_1, all_0_2_2, all_0_1_1 and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_143_0_80, addition(all_0_1_1, all_0_2_2) = all_0_1_1, yields:
% 18.90/5.15 | (627) ? [v0] : ? [v1] : (multiplication(all_0_1_1, all_0_1_1) = v0 & multiplication(all_0_2_2, all_0_1_1) = v1 & addition(v0, v1) = all_143_0_80)
% 18.90/5.15 |
% 18.90/5.15 | Instantiating formula (22) with all_143_0_80, all_0_1_1, all_0_2_2, all_0_1_1, all_0_1_1 and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_143_0_80, addition(all_0_1_1, all_0_2_2) = all_0_1_1, yields:
% 18.90/5.15 | (628) ? [v0] : ? [v1] : (multiplication(all_0_1_1, all_0_1_1) = v0 & multiplication(all_0_1_1, all_0_2_2) = v1 & addition(v0, v1) = all_143_0_80)
% 18.90/5.15 |
% 18.90/5.15 | Instantiating formula (10) with all_0_1_1, all_0_2_2, all_0_1_1, all_0_2_2, one, all_0_1_1 and discharging atoms multiplication(all_0_1_1, all_0_2_2) = all_0_2_2, multiplication(all_0_1_1, one) = all_0_1_1, addition(all_0_1_1, all_0_2_2) = all_0_1_1, yields:
% 18.90/5.15 | (629) ? [v0] : (multiplication(all_0_1_1, v0) = all_0_1_1 & addition(one, all_0_2_2) = v0)
% 18.90/5.15 |
% 18.90/5.15 | Instantiating formula (14) with all_129_0_72, all_0_1_1, all_0_2_2, one, one and discharging atoms addition(all_0_1_1, one) = all_129_0_72, addition(all_0_2_2, one) = all_0_1_1, yields:
% 18.90/5.15 | (630) ? [v0] : (addition(all_0_2_2, v0) = all_129_0_72 & addition(one, one) = v0)
% 18.90/5.15 |
% 18.90/5.15 | Instantiating formula (14) with all_129_0_72, all_0_1_1, one, all_0_2_2, one and discharging atoms addition(all_0_1_1, one) = all_129_0_72, addition(one, all_0_2_2) = all_0_1_1, yields:
% 18.90/5.15 | (631) ? [v0] : (addition(all_0_2_2, one) = v0 & addition(one, v0) = all_129_0_72)
% 18.90/5.15 |
% 18.90/5.15 | Instantiating formula (14) with all_129_0_72, all_0_1_1, all_0_1_1, all_0_2_2, one and discharging atoms addition(all_0_1_1, all_0_2_2) = all_0_1_1, addition(all_0_1_1, one) = all_129_0_72, yields:
% 18.90/5.15 | (632) ? [v0] : (addition(all_0_1_1, v0) = all_129_0_72 & addition(all_0_2_2, one) = v0)
% 18.90/5.15 |
% 18.90/5.15 | Instantiating formula (12) with all_143_0_80, all_0_1_1, all_0_1_1, zero, all_0_1_1 and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_143_0_80, addition(all_0_1_1, zero) = all_0_1_1, yields:
% 18.90/5.15 | (633) ? [v0] : ? [v1] : (multiplication(all_0_1_1, all_0_1_1) = v0 & multiplication(zero, all_0_1_1) = v1 & addition(v0, v1) = all_143_0_80)
% 18.90/5.15 |
% 18.90/5.15 | Instantiating formula (22) with all_143_0_80, all_0_1_1, zero, all_0_1_1, all_0_1_1 and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_143_0_80, addition(all_0_1_1, zero) = all_0_1_1, yields:
% 18.90/5.15 | (634) ? [v0] : ? [v1] : (multiplication(all_0_1_1, all_0_1_1) = v0 & multiplication(all_0_1_1, zero) = v1 & addition(v0, v1) = all_143_0_80)
% 18.90/5.15 |
% 18.90/5.15 | Instantiating formula (19) with all_0_1_1, all_0_1_1, zero and discharging atoms addition(all_0_1_1, zero) = all_0_1_1, yields:
% 18.90/5.15 | (635) addition(zero, all_0_1_1) = all_0_1_1
% 18.90/5.15 |
% 18.90/5.15 | Instantiating formula (12) with all_143_0_80, all_0_1_1, all_0_1_1, all_107_0_56, all_0_2_2 and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_143_0_80, addition(all_0_2_2, all_107_0_56) = all_0_1_1, yields:
% 18.90/5.15 | (636) ? [v0] : ? [v1] : (multiplication(all_107_0_56, all_0_1_1) = v1 & multiplication(all_0_2_2, all_0_1_1) = v0 & addition(v0, v1) = all_143_0_80)
% 18.90/5.15 |
% 18.90/5.15 | Instantiating formula (22) with all_143_0_80, all_0_1_1, all_107_0_56, all_0_2_2, all_0_1_1 and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_143_0_80, addition(all_0_2_2, all_107_0_56) = all_0_1_1, yields:
% 18.90/5.15 | (637) ? [v0] : ? [v1] : (multiplication(all_0_1_1, all_107_0_56) = v1 & multiplication(all_0_1_1, all_0_2_2) = v0 & addition(v0, v1) = all_143_0_80)
% 18.90/5.15 |
% 18.90/5.15 | Instantiating formula (12) with all_143_0_80, all_0_1_1, all_0_1_1, all_0_1_1, all_0_2_2 and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_143_0_80, addition(all_0_2_2, all_0_1_1) = all_0_1_1, yields:
% 18.90/5.15 | (638) ? [v0] : ? [v1] : (multiplication(all_0_1_1, all_0_1_1) = v1 & multiplication(all_0_2_2, all_0_1_1) = v0 & addition(v0, v1) = all_143_0_80)
% 18.90/5.15 |
% 18.90/5.15 | Instantiating formula (22) with all_143_0_80, all_0_1_1, all_0_1_1, all_0_2_2, all_0_1_1 and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_143_0_80, addition(all_0_2_2, all_0_1_1) = all_0_1_1, yields:
% 18.90/5.15 | (639) ? [v0] : ? [v1] : (multiplication(all_0_1_1, all_0_1_1) = v1 & multiplication(all_0_1_1, all_0_2_2) = v0 & addition(v0, v1) = all_143_0_80)
% 18.90/5.15 |
% 18.90/5.15 | Instantiating formula (10) with all_0_1_1, all_0_1_1, all_0_2_2, one, all_0_2_2, all_0_1_1 and discharging atoms multiplication(all_0_1_1, all_0_2_2) = all_0_2_2, multiplication(all_0_1_1, one) = all_0_1_1, addition(all_0_2_2, all_0_1_1) = all_0_1_1, yields:
% 18.90/5.15 | (640) ? [v0] : (multiplication(all_0_1_1, v0) = all_0_1_1 & addition(all_0_2_2, one) = v0)
% 18.90/5.15 |
% 18.90/5.15 | Instantiating formula (20) with all_0_1_1, all_0_1_1, all_0_2_2, all_0_1_1, one, all_0_2_2 and discharging atoms multiplication(all_0_2_2, all_0_1_1) = all_0_2_2, multiplication(one, all_0_1_1) = all_0_1_1, addition(all_0_2_2, all_0_1_1) = all_0_1_1, yields:
% 18.90/5.15 | (641) ? [v0] : (multiplication(v0, all_0_1_1) = all_0_1_1 & addition(all_0_2_2, one) = v0)
% 18.90/5.15 |
% 18.90/5.15 | Instantiating formula (10) with all_0_2_2, all_0_2_2, all_0_2_2, all_0_1_1, all_143_0_80, all_0_2_2 and discharging atoms multiplication(all_0_2_2, all_143_0_80) = all_0_2_2, multiplication(all_0_2_2, all_0_1_1) = all_0_2_2, addition(all_0_2_2, all_0_2_2) = all_0_2_2, yields:
% 18.90/5.15 | (642) ? [v0] : (multiplication(all_0_2_2, v0) = all_0_2_2 & addition(all_143_0_80, all_0_1_1) = v0)
% 18.90/5.15 |
% 18.90/5.15 | Instantiating formula (10) with all_0_2_2, all_0_2_2, all_0_2_2, all_0_1_1, zero, all_0_2_2 and discharging atoms multiplication(all_0_2_2, all_0_1_1) = all_0_2_2, multiplication(all_0_2_2, zero) = all_0_2_2, addition(all_0_2_2, all_0_2_2) = all_0_2_2, yields:
% 18.90/5.15 | (643) ? [v0] : (multiplication(all_0_2_2, v0) = all_0_2_2 & addition(zero, all_0_1_1) = v0)
% 18.90/5.15 |
% 18.90/5.16 | Instantiating formula (10) with all_0_2_2, all_0_2_2, all_0_2_2, one, one, all_0_2_2 and discharging atoms multiplication(all_0_2_2, one) = all_0_2_2, addition(all_0_2_2, all_0_2_2) = all_0_2_2, yields:
% 18.90/5.16 | (644) ? [v0] : (multiplication(all_0_2_2, v0) = all_0_2_2 & addition(one, one) = v0)
% 18.90/5.16 |
% 18.90/5.16 | Instantiating formula (20) with all_0_2_2, all_0_2_2, all_0_2_2, zero, all_129_0_72, all_0_1_1 and discharging atoms multiplication(all_129_0_72, zero) = all_0_2_2, multiplication(all_0_1_1, zero) = all_0_2_2, addition(all_0_2_2, all_0_2_2) = all_0_2_2, yields:
% 18.90/5.16 | (645) ? [v0] : (multiplication(v0, zero) = all_0_2_2 & addition(all_0_1_1, all_129_0_72) = v0)
% 18.90/5.16 |
% 18.90/5.16 | Instantiating formula (20) with all_0_2_2, all_0_2_2, all_0_2_2, zero, all_0_1_1, all_129_0_72 and discharging atoms multiplication(all_129_0_72, zero) = all_0_2_2, multiplication(all_0_1_1, zero) = all_0_2_2, addition(all_0_2_2, all_0_2_2) = all_0_2_2, yields:
% 18.90/5.16 | (646) ? [v0] : (multiplication(v0, zero) = all_0_2_2 & addition(all_129_0_72, all_0_1_1) = v0)
% 18.90/5.16 |
% 18.90/5.16 | Instantiating formula (10) with all_0_2_2, all_0_2_2, all_0_2_2, all_143_0_80, all_0_1_1, all_0_2_2 and discharging atoms multiplication(all_0_2_2, all_143_0_80) = all_0_2_2, multiplication(all_0_2_2, all_0_1_1) = all_0_2_2, addition(all_0_2_2, all_0_2_2) = all_0_2_2, yields:
% 18.90/5.16 | (647) ? [v0] : (multiplication(all_0_2_2, v0) = all_0_2_2 & addition(all_0_1_1, all_143_0_80) = v0)
% 18.90/5.16 |
% 18.90/5.16 | Instantiating formula (20) with all_0_2_2, all_0_2_2, all_0_2_2, all_0_2_2, one, one and discharging atoms multiplication(one, all_0_2_2) = all_0_2_2, addition(all_0_2_2, all_0_2_2) = all_0_2_2, yields:
% 18.90/5.16 | (648) ? [v0] : (multiplication(v0, all_0_2_2) = all_0_2_2 & addition(one, one) = v0)
% 18.90/5.16 |
% 18.90/5.16 | Instantiating formula (20) with all_107_0_56, all_0_1_1, zero, one, all_0_1_1, zero and discharging atoms multiplication(all_0_1_1, one) = all_0_1_1, multiplication(zero, one) = zero, addition(zero, all_0_1_1) = all_107_0_56, yields:
% 18.90/5.16 | (649) ? [v0] : (multiplication(v0, one) = all_107_0_56 & addition(zero, all_0_1_1) = v0)
% 18.90/5.16 |
% 18.90/5.16 | Instantiating formula (10) with all_107_0_56, all_0_1_1, zero, all_0_1_1, zero, one and discharging atoms multiplication(one, all_0_1_1) = all_0_1_1, multiplication(one, zero) = zero, addition(zero, all_0_1_1) = all_107_0_56, yields:
% 18.90/5.16 | (650) ? [v0] : (multiplication(one, v0) = all_107_0_56 & addition(zero, all_0_1_1) = v0)
% 18.90/5.16 |
% 18.90/5.16 | Instantiating formula (3) with all_107_0_56, all_0_1_1, zero, all_0_1_1, all_0_2_2 and discharging atoms addition(all_0_1_1, all_0_2_2) = all_0_1_1, addition(zero, all_0_1_1) = all_107_0_56, yields:
% 18.90/5.16 | (651) ? [v0] : (addition(v0, all_0_2_2) = all_107_0_56 & addition(zero, all_0_1_1) = v0)
% 18.90/5.16 |
% 18.90/5.16 | Instantiating formula (3) with all_107_0_56, all_0_1_1, zero, all_0_1_1, zero and discharging atoms addition(all_0_1_1, zero) = all_0_1_1, addition(zero, all_0_1_1) = all_107_0_56, yields:
% 18.90/5.16 | (652) ? [v0] : (addition(v0, zero) = all_107_0_56 & addition(zero, all_0_1_1) = v0)
% 18.90/5.16 |
% 18.90/5.16 | Instantiating formula (20) with all_0_2_2, all_0_2_2, zero, all_0_2_2, all_0_1_1, zero and discharging atoms multiplication(all_0_1_1, all_0_2_2) = all_0_2_2, multiplication(zero, all_0_2_2) = zero, addition(zero, all_0_2_2) = all_0_2_2, yields:
% 18.90/5.16 | (653) ? [v0] : (multiplication(v0, all_0_2_2) = all_0_2_2 & addition(zero, all_0_1_1) = v0)
% 18.90/5.16 |
% 18.90/5.16 | Instantiating formula (20) with all_0_2_2, all_0_2_2, zero, zero, all_0_1_1, zero and discharging atoms multiplication(all_0_1_1, zero) = all_0_2_2, multiplication(zero, zero) = zero, addition(zero, all_0_2_2) = all_0_2_2, yields:
% 18.90/5.16 | (654) ? [v0] : (multiplication(v0, zero) = all_0_2_2 & addition(zero, all_0_1_1) = v0)
% 18.90/5.16 |
% 18.90/5.16 | Instantiating formula (14) with all_0_1_1, all_0_2_2, zero, all_0_2_2, one and discharging atoms addition(all_0_2_2, one) = all_0_1_1, addition(zero, all_0_2_2) = all_0_2_2, yields:
% 18.90/5.16 | (655) ? [v0] : (addition(all_0_2_2, one) = v0 & addition(zero, v0) = all_0_1_1)
% 18.90/5.16 |
% 18.90/5.16 | Instantiating formula (20) with zero, zero, zero, zero, one, one and discharging atoms multiplication(one, zero) = zero, addition(zero, zero) = zero, yields:
% 18.90/5.16 | (656) ? [v0] : (multiplication(v0, zero) = zero & addition(one, one) = v0)
% 18.90/5.16 |
% 18.90/5.16 | Instantiating formula (10) with zero, zero, zero, all_0_1_1, all_143_0_80, zero and discharging atoms multiplication(zero, all_143_0_80) = zero, multiplication(zero, all_0_1_1) = zero, addition(zero, zero) = zero, yields:
% 18.90/5.16 | (657) ? [v0] : (multiplication(zero, v0) = zero & addition(all_143_0_80, all_0_1_1) = v0)
% 18.90/5.16 |
% 18.90/5.16 | Instantiating formula (10) with zero, zero, zero, all_0_1_1, zero, zero and discharging atoms multiplication(zero, all_0_1_1) = zero, multiplication(zero, zero) = zero, addition(zero, zero) = zero, yields:
% 18.90/5.16 | (658) ? [v0] : (multiplication(zero, v0) = zero & addition(zero, all_0_1_1) = v0)
% 18.90/5.16 |
% 18.90/5.16 | Instantiating formula (10) with zero, zero, zero, all_143_0_80, all_0_1_1, zero and discharging atoms multiplication(zero, all_143_0_80) = zero, multiplication(zero, all_0_1_1) = zero, addition(zero, zero) = zero, yields:
% 18.90/5.16 | (659) ? [v0] : (multiplication(zero, v0) = zero & addition(all_0_1_1, all_143_0_80) = v0)
% 18.90/5.16 |
% 18.90/5.16 | Instantiating formula (14) with all_107_0_56, zero, zero, zero, all_0_1_1 and discharging atoms addition(zero, all_0_1_1) = all_107_0_56, addition(zero, zero) = zero, yields:
% 18.90/5.16 | (660) ? [v0] : (addition(zero, v0) = all_107_0_56 & addition(zero, all_0_1_1) = v0)
% 18.90/5.16 |
% 18.90/5.16 | Instantiating (660) with all_271_0_150 yields:
% 18.90/5.16 | (661) addition(zero, all_271_0_150) = all_107_0_56 & addition(zero, all_0_1_1) = all_271_0_150
% 18.90/5.16 |
% 18.90/5.16 | Applying alpha-rule on (661) yields:
% 18.90/5.16 | (662) addition(zero, all_271_0_150) = all_107_0_56
% 18.90/5.16 | (663) addition(zero, all_0_1_1) = all_271_0_150
% 18.90/5.16 |
% 18.90/5.16 | Instantiating (654) with all_285_0_158 yields:
% 18.90/5.16 | (664) multiplication(all_285_0_158, zero) = all_0_2_2 & addition(zero, all_0_1_1) = all_285_0_158
% 18.90/5.16 |
% 18.90/5.16 | Applying alpha-rule on (664) yields:
% 18.90/5.16 | (665) multiplication(all_285_0_158, zero) = all_0_2_2
% 18.90/5.16 | (666) addition(zero, all_0_1_1) = all_285_0_158
% 18.90/5.16 |
% 18.90/5.16 | Instantiating (653) with all_319_0_177 yields:
% 18.90/5.16 | (667) multiplication(all_319_0_177, all_0_2_2) = all_0_2_2 & addition(zero, all_0_1_1) = all_319_0_177
% 18.90/5.16 |
% 18.90/5.16 | Applying alpha-rule on (667) yields:
% 18.90/5.16 | (668) multiplication(all_319_0_177, all_0_2_2) = all_0_2_2
% 18.90/5.16 | (669) addition(zero, all_0_1_1) = all_319_0_177
% 18.90/5.16 |
% 18.90/5.16 | Instantiating (646) with all_327_0_181 yields:
% 18.90/5.16 | (670) multiplication(all_327_0_181, zero) = all_0_2_2 & addition(all_129_0_72, all_0_1_1) = all_327_0_181
% 18.90/5.16 |
% 18.90/5.16 | Applying alpha-rule on (670) yields:
% 18.90/5.16 | (671) multiplication(all_327_0_181, zero) = all_0_2_2
% 18.90/5.16 | (672) addition(all_129_0_72, all_0_1_1) = all_327_0_181
% 18.90/5.16 |
% 18.90/5.16 | Instantiating (632) with all_337_0_186 yields:
% 18.90/5.16 | (673) addition(all_0_1_1, all_337_0_186) = all_129_0_72 & addition(all_0_2_2, one) = all_337_0_186
% 18.90/5.16 |
% 18.90/5.16 | Applying alpha-rule on (673) yields:
% 18.90/5.16 | (674) addition(all_0_1_1, all_337_0_186) = all_129_0_72
% 18.90/5.16 | (675) addition(all_0_2_2, one) = all_337_0_186
% 18.90/5.16 |
% 18.90/5.16 | Instantiating (630) with all_339_0_187 yields:
% 18.90/5.16 | (676) addition(all_0_2_2, all_339_0_187) = all_129_0_72 & addition(one, one) = all_339_0_187
% 18.90/5.16 |
% 18.90/5.16 | Applying alpha-rule on (676) yields:
% 18.90/5.16 | (677) addition(all_0_2_2, all_339_0_187) = all_129_0_72
% 18.90/5.16 | (678) addition(one, one) = all_339_0_187
% 18.90/5.16 |
% 18.90/5.16 | Instantiating (631) with all_347_0_191 yields:
% 18.90/5.16 | (679) addition(all_0_2_2, one) = all_347_0_191 & addition(one, all_347_0_191) = all_129_0_72
% 18.90/5.16 |
% 18.90/5.16 | Applying alpha-rule on (679) yields:
% 18.90/5.16 | (680) addition(all_0_2_2, one) = all_347_0_191
% 18.90/5.16 | (681) addition(one, all_347_0_191) = all_129_0_72
% 18.90/5.16 |
% 18.90/5.16 | Instantiating (657) with all_359_0_197 yields:
% 18.90/5.16 | (682) multiplication(zero, all_359_0_197) = zero & addition(all_143_0_80, all_0_1_1) = all_359_0_197
% 18.90/5.16 |
% 18.90/5.16 | Applying alpha-rule on (682) yields:
% 18.90/5.16 | (683) multiplication(zero, all_359_0_197) = zero
% 18.90/5.16 | (684) addition(all_143_0_80, all_0_1_1) = all_359_0_197
% 18.90/5.16 |
% 18.90/5.16 | Instantiating (659) with all_371_0_203 yields:
% 18.90/5.16 | (685) multiplication(zero, all_371_0_203) = zero & addition(all_0_1_1, all_143_0_80) = all_371_0_203
% 18.90/5.16 |
% 18.90/5.16 | Applying alpha-rule on (685) yields:
% 18.90/5.16 | (686) multiplication(zero, all_371_0_203) = zero
% 18.90/5.16 | (687) addition(all_0_1_1, all_143_0_80) = all_371_0_203
% 18.90/5.16 |
% 18.90/5.16 | Instantiating (658) with all_373_0_204 yields:
% 18.90/5.16 | (688) multiplication(zero, all_373_0_204) = zero & addition(zero, all_0_1_1) = all_373_0_204
% 18.90/5.16 |
% 18.90/5.16 | Applying alpha-rule on (688) yields:
% 18.90/5.16 | (689) multiplication(zero, all_373_0_204) = zero
% 18.90/5.16 | (690) addition(zero, all_0_1_1) = all_373_0_204
% 18.90/5.16 |
% 18.90/5.16 | Instantiating (648) with all_379_0_207 yields:
% 18.90/5.16 | (691) multiplication(all_379_0_207, all_0_2_2) = all_0_2_2 & addition(one, one) = all_379_0_207
% 18.90/5.16 |
% 18.90/5.16 | Applying alpha-rule on (691) yields:
% 18.90/5.16 | (692) multiplication(all_379_0_207, all_0_2_2) = all_0_2_2
% 18.90/5.16 | (693) addition(one, one) = all_379_0_207
% 18.90/5.16 |
% 18.90/5.16 | Instantiating (647) with all_381_0_208 yields:
% 18.90/5.16 | (694) multiplication(all_0_2_2, all_381_0_208) = all_0_2_2 & addition(all_0_1_1, all_143_0_80) = all_381_0_208
% 18.90/5.16 |
% 18.90/5.16 | Applying alpha-rule on (694) yields:
% 18.90/5.16 | (695) multiplication(all_0_2_2, all_381_0_208) = all_0_2_2
% 18.90/5.16 | (696) addition(all_0_1_1, all_143_0_80) = all_381_0_208
% 18.90/5.16 |
% 18.90/5.16 | Instantiating (634) with all_387_0_211, all_387_1_212 yields:
% 18.90/5.16 | (697) multiplication(all_0_1_1, all_0_1_1) = all_387_1_212 & multiplication(all_0_1_1, zero) = all_387_0_211 & addition(all_387_1_212, all_387_0_211) = all_143_0_80
% 18.90/5.16 |
% 18.90/5.16 | Applying alpha-rule on (697) yields:
% 18.90/5.16 | (698) multiplication(all_0_1_1, all_0_1_1) = all_387_1_212
% 18.90/5.16 | (699) multiplication(all_0_1_1, zero) = all_387_0_211
% 18.90/5.16 | (700) addition(all_387_1_212, all_387_0_211) = all_143_0_80
% 18.90/5.16 |
% 18.90/5.16 | Instantiating (633) with all_389_0_213, all_389_1_214 yields:
% 18.90/5.16 | (701) multiplication(all_0_1_1, all_0_1_1) = all_389_1_214 & multiplication(zero, all_0_1_1) = all_389_0_213 & addition(all_389_1_214, all_389_0_213) = all_143_0_80
% 18.90/5.16 |
% 18.90/5.16 | Applying alpha-rule on (701) yields:
% 18.90/5.16 | (702) multiplication(all_0_1_1, all_0_1_1) = all_389_1_214
% 18.90/5.16 | (703) multiplication(zero, all_0_1_1) = all_389_0_213
% 18.90/5.16 | (704) addition(all_389_1_214, all_389_0_213) = all_143_0_80
% 18.90/5.16 |
% 18.90/5.16 | Instantiating (639) with all_413_0_229, all_413_1_230 yields:
% 18.90/5.16 | (705) multiplication(all_0_1_1, all_0_1_1) = all_413_0_229 & multiplication(all_0_1_1, all_0_2_2) = all_413_1_230 & addition(all_413_1_230, all_413_0_229) = all_143_0_80
% 18.90/5.16 |
% 18.90/5.16 | Applying alpha-rule on (705) yields:
% 18.90/5.17 | (706) multiplication(all_0_1_1, all_0_1_1) = all_413_0_229
% 18.90/5.17 | (707) multiplication(all_0_1_1, all_0_2_2) = all_413_1_230
% 18.90/5.17 | (708) addition(all_413_1_230, all_413_0_229) = all_143_0_80
% 18.90/5.17 |
% 18.90/5.17 | Instantiating (642) with all_431_0_243 yields:
% 18.90/5.17 | (709) multiplication(all_0_2_2, all_431_0_243) = all_0_2_2 & addition(all_143_0_80, all_0_1_1) = all_431_0_243
% 18.90/5.17 |
% 18.90/5.17 | Applying alpha-rule on (709) yields:
% 18.90/5.17 | (710) multiplication(all_0_2_2, all_431_0_243) = all_0_2_2
% 18.90/5.17 | (711) addition(all_143_0_80, all_0_1_1) = all_431_0_243
% 18.90/5.17 |
% 18.90/5.17 | Instantiating (645) with all_453_0_262 yields:
% 18.90/5.17 | (712) multiplication(all_453_0_262, zero) = all_0_2_2 & addition(all_0_1_1, all_129_0_72) = all_453_0_262
% 18.90/5.17 |
% 18.90/5.17 | Applying alpha-rule on (712) yields:
% 18.90/5.17 | (713) multiplication(all_453_0_262, zero) = all_0_2_2
% 18.90/5.17 | (714) addition(all_0_1_1, all_129_0_72) = all_453_0_262
% 18.90/5.17 |
% 18.90/5.17 | Instantiating (629) with all_485_0_285 yields:
% 18.90/5.17 | (715) multiplication(all_0_1_1, all_485_0_285) = all_0_1_1 & addition(one, all_0_2_2) = all_485_0_285
% 18.90/5.17 |
% 18.90/5.17 | Applying alpha-rule on (715) yields:
% 18.90/5.17 | (716) multiplication(all_0_1_1, all_485_0_285) = all_0_1_1
% 18.90/5.17 | (717) addition(one, all_0_2_2) = all_485_0_285
% 18.90/5.17 |
% 18.90/5.17 | Instantiating (640) with all_493_0_289 yields:
% 18.90/5.17 | (718) multiplication(all_0_1_1, all_493_0_289) = all_0_1_1 & addition(all_0_2_2, one) = all_493_0_289
% 18.90/5.17 |
% 18.90/5.17 | Applying alpha-rule on (718) yields:
% 18.90/5.17 | (719) multiplication(all_0_1_1, all_493_0_289) = all_0_1_1
% 18.90/5.17 | (720) addition(all_0_2_2, one) = all_493_0_289
% 18.90/5.17 |
% 18.90/5.17 | Instantiating (641) with all_505_0_295 yields:
% 18.90/5.17 | (721) multiplication(all_505_0_295, all_0_1_1) = all_0_1_1 & addition(all_0_2_2, one) = all_505_0_295
% 18.90/5.17 |
% 18.90/5.17 | Applying alpha-rule on (721) yields:
% 18.90/5.17 | (722) multiplication(all_505_0_295, all_0_1_1) = all_0_1_1
% 18.90/5.17 | (723) addition(all_0_2_2, one) = all_505_0_295
% 18.90/5.17 |
% 18.90/5.17 | Instantiating (624) with all_515_0_300 yields:
% 18.90/5.17 | (724) multiplication(all_515_0_300, zero) = all_0_2_2 & multiplication(all_0_1_1, all_0_1_1) = all_515_0_300
% 18.90/5.17 |
% 18.90/5.17 | Applying alpha-rule on (724) yields:
% 18.90/5.17 | (725) multiplication(all_515_0_300, zero) = all_0_2_2
% 18.90/5.17 | (726) multiplication(all_0_1_1, all_0_1_1) = all_515_0_300
% 18.90/5.17 |
% 18.90/5.17 | Instantiating (638) with all_535_0_310, all_535_1_311 yields:
% 18.90/5.17 | (727) multiplication(all_0_1_1, all_0_1_1) = all_535_0_310 & multiplication(all_0_2_2, all_0_1_1) = all_535_1_311 & addition(all_535_1_311, all_535_0_310) = all_143_0_80
% 18.90/5.17 |
% 18.90/5.17 | Applying alpha-rule on (727) yields:
% 18.90/5.17 | (728) multiplication(all_0_1_1, all_0_1_1) = all_535_0_310
% 18.90/5.17 | (729) multiplication(all_0_2_2, all_0_1_1) = all_535_1_311
% 18.90/5.17 | (730) addition(all_535_1_311, all_535_0_310) = all_143_0_80
% 18.90/5.17 |
% 18.90/5.17 | Instantiating (623) with all_549_0_318 yields:
% 18.90/5.17 | (731) multiplication(all_549_0_318, one) = all_143_0_80 & multiplication(all_0_1_1, all_0_1_1) = all_549_0_318
% 18.90/5.17 |
% 18.90/5.17 | Applying alpha-rule on (731) yields:
% 18.90/5.17 | (732) multiplication(all_549_0_318, one) = all_143_0_80
% 18.90/5.17 | (733) multiplication(all_0_1_1, all_0_1_1) = all_549_0_318
% 18.90/5.17 |
% 18.90/5.17 | Instantiating (628) with all_561_0_326, all_561_1_327 yields:
% 18.90/5.17 | (734) multiplication(all_0_1_1, all_0_1_1) = all_561_1_327 & multiplication(all_0_1_1, all_0_2_2) = all_561_0_326 & addition(all_561_1_327, all_561_0_326) = all_143_0_80
% 18.90/5.17 |
% 18.90/5.17 | Applying alpha-rule on (734) yields:
% 18.90/5.17 | (735) multiplication(all_0_1_1, all_0_1_1) = all_561_1_327
% 18.90/5.17 | (736) multiplication(all_0_1_1, all_0_2_2) = all_561_0_326
% 18.90/5.17 | (737) addition(all_561_1_327, all_561_0_326) = all_143_0_80
% 18.90/5.17 |
% 18.90/5.17 | Instantiating (626) with all_563_0_328 yields:
% 18.90/5.17 | (738) multiplication(all_563_0_328, all_0_1_1) = all_0_1_1 & addition(one, all_0_2_2) = all_563_0_328
% 18.90/5.17 |
% 18.90/5.17 | Applying alpha-rule on (738) yields:
% 18.90/5.17 | (739) multiplication(all_563_0_328, all_0_1_1) = all_0_1_1
% 18.90/5.17 | (740) addition(one, all_0_2_2) = all_563_0_328
% 18.90/5.17 |
% 18.90/5.17 | Instantiating (627) with all_571_0_332, all_571_1_333 yields:
% 18.90/5.17 | (741) multiplication(all_0_1_1, all_0_1_1) = all_571_1_333 & multiplication(all_0_2_2, all_0_1_1) = all_571_0_332 & addition(all_571_1_333, all_571_0_332) = all_143_0_80
% 18.90/5.17 |
% 18.90/5.17 | Applying alpha-rule on (741) yields:
% 18.90/5.17 | (742) multiplication(all_0_1_1, all_0_1_1) = all_571_1_333
% 18.90/5.17 | (743) multiplication(all_0_2_2, all_0_1_1) = all_571_0_332
% 18.90/5.17 | (744) addition(all_571_1_333, all_571_0_332) = all_143_0_80
% 18.90/5.17 |
% 18.90/5.17 | Instantiating (622) with all_577_0_336 yields:
% 18.90/5.17 | (745) multiplication(all_577_0_336, all_0_2_2) = all_0_2_2 & multiplication(all_0_1_1, all_0_1_1) = all_577_0_336
% 18.90/5.17 |
% 18.90/5.17 | Applying alpha-rule on (745) yields:
% 18.90/5.17 | (746) multiplication(all_577_0_336, all_0_2_2) = all_0_2_2
% 18.90/5.17 | (747) multiplication(all_0_1_1, all_0_1_1) = all_577_0_336
% 18.90/5.17 |
% 18.90/5.17 | Instantiating (649) with all_621_0_362 yields:
% 18.90/5.17 | (748) multiplication(all_621_0_362, one) = all_107_0_56 & addition(zero, all_0_1_1) = all_621_0_362
% 18.90/5.17 |
% 18.90/5.17 | Applying alpha-rule on (748) yields:
% 18.90/5.17 | (749) multiplication(all_621_0_362, one) = all_107_0_56
% 18.90/5.17 | (750) addition(zero, all_0_1_1) = all_621_0_362
% 18.90/5.17 |
% 18.90/5.17 | Instantiating (643) with all_637_0_370 yields:
% 18.90/5.17 | (751) multiplication(all_0_2_2, all_637_0_370) = all_0_2_2 & addition(zero, all_0_1_1) = all_637_0_370
% 18.90/5.17 |
% 18.90/5.17 | Applying alpha-rule on (751) yields:
% 18.90/5.17 | (752) multiplication(all_0_2_2, all_637_0_370) = all_0_2_2
% 18.90/5.17 | (753) addition(zero, all_0_1_1) = all_637_0_370
% 18.90/5.17 |
% 18.90/5.17 | Instantiating (644) with all_641_0_372 yields:
% 18.90/5.17 | (754) multiplication(all_0_2_2, all_641_0_372) = all_0_2_2 & addition(one, one) = all_641_0_372
% 18.90/5.17 |
% 18.90/5.17 | Applying alpha-rule on (754) yields:
% 18.90/5.17 | (755) multiplication(all_0_2_2, all_641_0_372) = all_0_2_2
% 18.90/5.17 | (756) addition(one, one) = all_641_0_372
% 18.90/5.17 |
% 18.90/5.17 | Instantiating (656) with all_653_0_378 yields:
% 18.90/5.17 | (757) multiplication(all_653_0_378, zero) = zero & addition(one, one) = all_653_0_378
% 18.90/5.17 |
% 18.90/5.17 | Applying alpha-rule on (757) yields:
% 18.90/5.17 | (758) multiplication(all_653_0_378, zero) = zero
% 18.90/5.17 | (759) addition(one, one) = all_653_0_378
% 18.90/5.17 |
% 18.90/5.17 | Instantiating (650) with all_661_0_382 yields:
% 18.90/5.17 | (760) multiplication(one, all_661_0_382) = all_107_0_56 & addition(zero, all_0_1_1) = all_661_0_382
% 18.90/5.17 |
% 18.90/5.17 | Applying alpha-rule on (760) yields:
% 18.90/5.17 | (761) multiplication(one, all_661_0_382) = all_107_0_56
% 18.90/5.17 | (762) addition(zero, all_0_1_1) = all_661_0_382
% 18.90/5.17 |
% 18.90/5.17 | Instantiating (655) with all_667_0_386 yields:
% 18.90/5.17 | (763) addition(all_0_2_2, one) = all_667_0_386 & addition(zero, all_667_0_386) = all_0_1_1
% 18.90/5.17 |
% 18.90/5.17 | Applying alpha-rule on (763) yields:
% 18.90/5.17 | (764) addition(all_0_2_2, one) = all_667_0_386
% 18.90/5.17 | (765) addition(zero, all_667_0_386) = all_0_1_1
% 18.90/5.17 |
% 18.90/5.17 | Instantiating (625) with all_671_0_389 yields:
% 18.90/5.17 | (766) multiplication(all_0_1_1, all_0_1_1) = all_671_0_389 & multiplication(one, all_671_0_389) = all_143_0_80
% 18.90/5.17 |
% 18.90/5.17 | Applying alpha-rule on (766) yields:
% 18.90/5.17 | (767) multiplication(all_0_1_1, all_0_1_1) = all_671_0_389
% 18.90/5.17 | (768) multiplication(one, all_671_0_389) = all_143_0_80
% 18.90/5.17 |
% 18.90/5.17 | Instantiating (637) with all_679_0_393, all_679_1_394 yields:
% 18.90/5.17 | (769) multiplication(all_0_1_1, all_107_0_56) = all_679_0_393 & multiplication(all_0_1_1, all_0_2_2) = all_679_1_394 & addition(all_679_1_394, all_679_0_393) = all_143_0_80
% 18.90/5.17 |
% 18.90/5.17 | Applying alpha-rule on (769) yields:
% 18.90/5.17 | (770) multiplication(all_0_1_1, all_107_0_56) = all_679_0_393
% 18.90/5.17 | (771) multiplication(all_0_1_1, all_0_2_2) = all_679_1_394
% 18.90/5.17 | (772) addition(all_679_1_394, all_679_0_393) = all_143_0_80
% 18.90/5.17 |
% 18.90/5.17 | Instantiating (636) with all_687_0_400, all_687_1_401 yields:
% 18.90/5.17 | (773) multiplication(all_107_0_56, all_0_1_1) = all_687_0_400 & multiplication(all_0_2_2, all_0_1_1) = all_687_1_401 & addition(all_687_1_401, all_687_0_400) = all_143_0_80
% 18.90/5.17 |
% 18.90/5.17 | Applying alpha-rule on (773) yields:
% 18.90/5.17 | (774) multiplication(all_107_0_56, all_0_1_1) = all_687_0_400
% 18.90/5.17 | (775) multiplication(all_0_2_2, all_0_1_1) = all_687_1_401
% 18.90/5.18 | (776) addition(all_687_1_401, all_687_0_400) = all_143_0_80
% 18.90/5.18 |
% 18.90/5.18 | Instantiating (652) with all_695_0_405 yields:
% 18.90/5.18 | (777) addition(all_695_0_405, zero) = all_107_0_56 & addition(zero, all_0_1_1) = all_695_0_405
% 18.90/5.18 |
% 18.90/5.18 | Applying alpha-rule on (777) yields:
% 18.90/5.18 | (778) addition(all_695_0_405, zero) = all_107_0_56
% 18.90/5.18 | (779) addition(zero, all_0_1_1) = all_695_0_405
% 18.90/5.18 |
% 18.90/5.18 | Instantiating (651) with all_697_0_406 yields:
% 18.90/5.18 | (780) addition(all_697_0_406, all_0_2_2) = all_107_0_56 & addition(zero, all_0_1_1) = all_697_0_406
% 18.90/5.18 |
% 18.90/5.18 | Applying alpha-rule on (780) yields:
% 18.90/5.18 | (781) addition(all_697_0_406, all_0_2_2) = all_107_0_56
% 18.90/5.18 | (782) addition(zero, all_0_1_1) = all_697_0_406
% 18.90/5.18 |
% 18.90/5.18 | Instantiating formula (31) with all_0_1_1, all_0_1_1, all_577_0_336, all_671_0_389 and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_671_0_389, multiplication(all_0_1_1, all_0_1_1) = all_577_0_336, yields:
% 18.90/5.18 | (783) all_671_0_389 = all_577_0_336
% 18.90/5.18 |
% 18.90/5.18 | Instantiating formula (31) with all_0_1_1, all_0_1_1, all_571_1_333, all_671_0_389 and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_671_0_389, multiplication(all_0_1_1, all_0_1_1) = all_571_1_333, yields:
% 18.90/5.18 | (784) all_671_0_389 = all_571_1_333
% 18.90/5.18 |
% 18.90/5.18 | Instantiating formula (31) with all_0_1_1, all_0_1_1, all_561_1_327, all_571_1_333 and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_571_1_333, multiplication(all_0_1_1, all_0_1_1) = all_561_1_327, yields:
% 18.90/5.18 | (785) all_571_1_333 = all_561_1_327
% 18.90/5.18 |
% 18.90/5.18 | Instantiating formula (31) with all_0_1_1, all_0_1_1, all_549_0_318, all_143_0_80 and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_549_0_318, multiplication(all_0_1_1, all_0_1_1) = all_143_0_80, yields:
% 18.90/5.18 | (786) all_549_0_318 = all_143_0_80
% 18.90/5.18 |
% 18.90/5.18 | Instantiating formula (31) with all_0_1_1, all_0_1_1, all_549_0_318, all_561_1_327 and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_561_1_327, multiplication(all_0_1_1, all_0_1_1) = all_549_0_318, yields:
% 18.90/5.18 | (787) all_561_1_327 = all_549_0_318
% 18.90/5.18 |
% 18.90/5.18 | Instantiating formula (31) with all_0_1_1, all_0_1_1, all_535_0_310, all_561_1_327 and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_561_1_327, multiplication(all_0_1_1, all_0_1_1) = all_535_0_310, yields:
% 18.90/5.18 | (788) all_561_1_327 = all_535_0_310
% 18.90/5.18 |
% 18.90/5.18 | Instantiating formula (31) with all_0_1_1, all_0_1_1, all_515_0_300, all_671_0_389 and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_671_0_389, multiplication(all_0_1_1, all_0_1_1) = all_515_0_300, yields:
% 18.90/5.18 | (789) all_671_0_389 = all_515_0_300
% 18.90/5.18 |
% 18.90/5.18 | Instantiating formula (31) with all_0_1_1, all_0_1_1, all_413_0_229, all_561_1_327 and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_561_1_327, multiplication(all_0_1_1, all_0_1_1) = all_413_0_229, yields:
% 18.90/5.18 | (790) all_561_1_327 = all_413_0_229
% 18.90/5.18 |
% 18.90/5.18 | Instantiating formula (31) with all_0_1_1, all_0_1_1, all_389_1_214, all_561_1_327 and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_561_1_327, multiplication(all_0_1_1, all_0_1_1) = all_389_1_214, yields:
% 18.90/5.18 | (791) all_561_1_327 = all_389_1_214
% 18.90/5.18 |
% 18.90/5.18 | Instantiating formula (31) with all_0_1_1, all_0_1_1, all_387_1_212, all_535_0_310 and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_535_0_310, multiplication(all_0_1_1, all_0_1_1) = all_387_1_212, yields:
% 18.90/5.18 | (792) all_535_0_310 = all_387_1_212
% 18.90/5.18 |
% 18.90/5.18 | Instantiating formula (7) with all_143_0_80, all_0_1_1, all_359_0_197, all_431_0_243 and discharging atoms addition(all_143_0_80, all_0_1_1) = all_431_0_243, addition(all_143_0_80, all_0_1_1) = all_359_0_197, yields:
% 18.90/5.18 | (793) all_431_0_243 = all_359_0_197
% 18.90/5.18 |
% 18.90/5.18 | Instantiating formula (7) with all_0_1_1, all_143_0_80, all_371_0_203, all_381_0_208 and discharging atoms addition(all_0_1_1, all_143_0_80) = all_381_0_208, addition(all_0_1_1, all_143_0_80) = all_371_0_203, yields:
% 18.90/5.18 | (794) all_381_0_208 = all_371_0_203
% 18.90/5.18 |
% 18.90/5.18 | Instantiating formula (7) with all_0_2_2, one, all_505_0_295, all_667_0_386 and discharging atoms addition(all_0_2_2, one) = all_667_0_386, addition(all_0_2_2, one) = all_505_0_295, yields:
% 18.90/5.18 | (795) all_667_0_386 = all_505_0_295
% 18.90/5.18 |
% 18.90/5.18 | Instantiating formula (7) with all_0_2_2, one, all_493_0_289, all_505_0_295 and discharging atoms addition(all_0_2_2, one) = all_505_0_295, addition(all_0_2_2, one) = all_493_0_289, yields:
% 18.90/5.18 | (796) all_505_0_295 = all_493_0_289
% 18.90/5.18 |
% 18.90/5.18 | Instantiating formula (7) with all_0_2_2, one, all_347_0_191, all_0_1_1 and discharging atoms addition(all_0_2_2, one) = all_347_0_191, addition(all_0_2_2, one) = all_0_1_1, yields:
% 18.90/5.18 | (797) all_347_0_191 = all_0_1_1
% 18.90/5.18 |
% 18.90/5.18 | Instantiating formula (7) with all_0_2_2, one, all_347_0_191, all_493_0_289 and discharging atoms addition(all_0_2_2, one) = all_493_0_289, addition(all_0_2_2, one) = all_347_0_191, yields:
% 18.90/5.18 | (798) all_493_0_289 = all_347_0_191
% 18.90/5.18 |
% 18.90/5.18 | Instantiating formula (7) with all_0_2_2, one, all_337_0_186, all_667_0_386 and discharging atoms addition(all_0_2_2, one) = all_667_0_386, addition(all_0_2_2, one) = all_337_0_186, yields:
% 18.90/5.18 | (799) all_667_0_386 = all_337_0_186
% 18.90/5.18 |
% 18.90/5.18 | Instantiating formula (7) with one, all_0_2_2, all_563_0_328, all_0_1_1 and discharging atoms addition(one, all_0_2_2) = all_563_0_328, addition(one, all_0_2_2) = all_0_1_1, yields:
% 18.90/5.18 | (800) all_563_0_328 = all_0_1_1
% 18.90/5.18 |
% 18.90/5.18 | Instantiating formula (7) with one, all_0_2_2, all_485_0_285, all_563_0_328 and discharging atoms addition(one, all_0_2_2) = all_563_0_328, addition(one, all_0_2_2) = all_485_0_285, yields:
% 18.90/5.18 | (801) all_563_0_328 = all_485_0_285
% 18.90/5.18 |
% 18.90/5.18 | Instantiating formula (7) with one, one, all_641_0_372, all_653_0_378 and discharging atoms addition(one, one) = all_653_0_378, addition(one, one) = all_641_0_372, yields:
% 18.90/5.18 | (802) all_653_0_378 = all_641_0_372
% 18.90/5.18 |
% 18.90/5.18 | Instantiating formula (7) with one, one, all_379_0_207, all_641_0_372 and discharging atoms addition(one, one) = all_641_0_372, addition(one, one) = all_379_0_207, yields:
% 18.90/5.18 | (803) all_641_0_372 = all_379_0_207
% 18.90/5.18 |
% 18.90/5.18 | Instantiating formula (28) with all_379_0_207, one and discharging atoms addition(one, one) = all_379_0_207, yields:
% 18.90/5.18 | (804) all_379_0_207 = one
% 18.90/5.18 |
% 18.90/5.18 | Instantiating formula (7) with one, one, all_339_0_187, all_653_0_378 and discharging atoms addition(one, one) = all_653_0_378, addition(one, one) = all_339_0_187, yields:
% 18.90/5.18 | (805) all_653_0_378 = all_339_0_187
% 18.90/5.18 |
% 18.90/5.18 | Instantiating formula (7) with zero, all_0_1_1, all_695_0_405, all_697_0_406 and discharging atoms addition(zero, all_0_1_1) = all_697_0_406, addition(zero, all_0_1_1) = all_695_0_405, yields:
% 18.90/5.18 | (806) all_697_0_406 = all_695_0_405
% 18.90/5.18 |
% 18.90/5.18 | Instantiating formula (7) with zero, all_0_1_1, all_661_0_382, all_695_0_405 and discharging atoms addition(zero, all_0_1_1) = all_695_0_405, addition(zero, all_0_1_1) = all_661_0_382, yields:
% 18.90/5.18 | (807) all_695_0_405 = all_661_0_382
% 18.90/5.18 |
% 18.90/5.18 | Instantiating formula (7) with zero, all_0_1_1, all_637_0_370, all_661_0_382 and discharging atoms addition(zero, all_0_1_1) = all_661_0_382, addition(zero, all_0_1_1) = all_637_0_370, yields:
% 18.90/5.18 | (808) all_661_0_382 = all_637_0_370
% 18.90/5.18 |
% 18.90/5.18 | Instantiating formula (7) with zero, all_0_1_1, all_621_0_362, all_107_0_56 and discharging atoms addition(zero, all_0_1_1) = all_621_0_362, addition(zero, all_0_1_1) = all_107_0_56, yields:
% 18.90/5.18 | (809) all_621_0_362 = all_107_0_56
% 18.90/5.18 |
% 18.90/5.18 | Instantiating formula (7) with zero, all_0_1_1, all_373_0_204, all_637_0_370 and discharging atoms addition(zero, all_0_1_1) = all_637_0_370, addition(zero, all_0_1_1) = all_373_0_204, yields:
% 18.90/5.18 | (810) all_637_0_370 = all_373_0_204
% 18.90/5.18 |
% 18.90/5.18 | Instantiating formula (7) with zero, all_0_1_1, all_373_0_204, all_621_0_362 and discharging atoms addition(zero, all_0_1_1) = all_621_0_362, addition(zero, all_0_1_1) = all_373_0_204, yields:
% 18.90/5.18 | (811) all_621_0_362 = all_373_0_204
% 18.90/5.18 |
% 18.90/5.18 | Instantiating formula (7) with zero, all_0_1_1, all_319_0_177, all_373_0_204 and discharging atoms addition(zero, all_0_1_1) = all_373_0_204, addition(zero, all_0_1_1) = all_319_0_177, yields:
% 18.90/5.18 | (812) all_373_0_204 = all_319_0_177
% 18.90/5.18 |
% 18.90/5.18 | Instantiating formula (7) with zero, all_0_1_1, all_285_0_158, all_373_0_204 and discharging atoms addition(zero, all_0_1_1) = all_373_0_204, addition(zero, all_0_1_1) = all_285_0_158, yields:
% 18.90/5.18 | (813) all_373_0_204 = all_285_0_158
% 18.90/5.18 |
% 18.90/5.18 | Instantiating formula (7) with zero, all_0_1_1, all_271_0_150, all_373_0_204 and discharging atoms addition(zero, all_0_1_1) = all_373_0_204, addition(zero, all_0_1_1) = all_271_0_150, yields:
% 18.90/5.18 | (814) all_373_0_204 = all_271_0_150
% 18.90/5.18 |
% 18.90/5.18 | Instantiating formula (7) with zero, all_0_1_1, all_0_1_1, all_697_0_406 and discharging atoms addition(zero, all_0_1_1) = all_697_0_406, addition(zero, all_0_1_1) = all_0_1_1, yields:
% 18.90/5.18 | (815) all_697_0_406 = all_0_1_1
% 18.90/5.18 |
% 18.90/5.18 | Combining equations (806,815) yields a new equation:
% 18.90/5.18 | (816) all_695_0_405 = all_0_1_1
% 18.90/5.18 |
% 18.90/5.18 | Simplifying 816 yields:
% 18.90/5.18 | (817) all_695_0_405 = all_0_1_1
% 18.90/5.18 |
% 18.90/5.18 | Combining equations (807,817) yields a new equation:
% 18.90/5.18 | (818) all_661_0_382 = all_0_1_1
% 18.90/5.18 |
% 18.90/5.18 | Simplifying 818 yields:
% 18.90/5.18 | (819) all_661_0_382 = all_0_1_1
% 18.90/5.18 |
% 18.90/5.18 | Combining equations (789,783) yields a new equation:
% 18.90/5.18 | (820) all_577_0_336 = all_515_0_300
% 18.90/5.18 |
% 18.90/5.18 | Combining equations (784,783) yields a new equation:
% 18.90/5.18 | (821) all_577_0_336 = all_571_1_333
% 18.90/5.18 |
% 18.90/5.18 | Combining equations (795,799) yields a new equation:
% 18.90/5.18 | (822) all_505_0_295 = all_337_0_186
% 18.90/5.18 |
% 18.90/5.18 | Simplifying 822 yields:
% 18.90/5.18 | (823) all_505_0_295 = all_337_0_186
% 18.90/5.18 |
% 18.90/5.18 | Combining equations (808,819) yields a new equation:
% 18.90/5.18 | (824) all_637_0_370 = all_0_1_1
% 18.90/5.18 |
% 18.90/5.18 | Simplifying 824 yields:
% 18.90/5.18 | (825) all_637_0_370 = all_0_1_1
% 18.90/5.18 |
% 18.90/5.18 | Combining equations (802,805) yields a new equation:
% 18.90/5.18 | (826) all_641_0_372 = all_339_0_187
% 18.90/5.18 |
% 18.90/5.18 | Simplifying 826 yields:
% 18.90/5.18 | (827) all_641_0_372 = all_339_0_187
% 18.90/5.18 |
% 18.90/5.18 | Combining equations (803,827) yields a new equation:
% 18.90/5.18 | (828) all_379_0_207 = all_339_0_187
% 18.90/5.18 |
% 18.90/5.18 | Simplifying 828 yields:
% 18.90/5.18 | (829) all_379_0_207 = all_339_0_187
% 18.90/5.18 |
% 18.90/5.18 | Combining equations (810,825) yields a new equation:
% 18.90/5.18 | (830) all_373_0_204 = all_0_1_1
% 18.90/5.18 |
% 18.90/5.18 | Simplifying 830 yields:
% 18.90/5.18 | (831) all_373_0_204 = all_0_1_1
% 18.90/5.18 |
% 18.90/5.18 | Combining equations (811,809) yields a new equation:
% 18.90/5.18 | (832) all_373_0_204 = all_107_0_56
% 18.90/5.18 |
% 18.90/5.18 | Simplifying 832 yields:
% 18.90/5.18 | (833) all_373_0_204 = all_107_0_56
% 18.90/5.18 |
% 18.90/5.18 | Combining equations (821,820) yields a new equation:
% 18.90/5.18 | (834) all_571_1_333 = all_515_0_300
% 18.90/5.18 |
% 18.90/5.18 | Simplifying 834 yields:
% 18.90/5.18 | (835) all_571_1_333 = all_515_0_300
% 18.90/5.18 |
% 18.90/5.18 | Combining equations (785,835) yields a new equation:
% 18.90/5.18 | (836) all_561_1_327 = all_515_0_300
% 18.90/5.18 |
% 18.90/5.18 | Simplifying 836 yields:
% 18.90/5.18 | (837) all_561_1_327 = all_515_0_300
% 18.90/5.18 |
% 18.90/5.18 | Combining equations (800,801) yields a new equation:
% 18.90/5.18 | (838) all_485_0_285 = all_0_1_1
% 18.90/5.18 |
% 18.90/5.18 | Combining equations (788,837) yields a new equation:
% 18.90/5.18 | (839) all_535_0_310 = all_515_0_300
% 18.90/5.18 |
% 18.90/5.18 | Simplifying 839 yields:
% 18.90/5.18 | (840) all_535_0_310 = all_515_0_300
% 18.90/5.18 |
% 18.90/5.18 | Combining equations (791,837) yields a new equation:
% 18.90/5.18 | (841) all_515_0_300 = all_389_1_214
% 18.90/5.18 |
% 18.90/5.18 | Combining equations (787,837) yields a new equation:
% 18.90/5.18 | (842) all_549_0_318 = all_515_0_300
% 18.90/5.18 |
% 18.90/5.19 | Simplifying 842 yields:
% 18.90/5.19 | (843) all_549_0_318 = all_515_0_300
% 18.90/5.19 |
% 18.90/5.19 | Combining equations (790,837) yields a new equation:
% 18.90/5.19 | (844) all_515_0_300 = all_413_0_229
% 18.90/5.19 |
% 18.90/5.19 | Combining equations (843,786) yields a new equation:
% 18.90/5.19 | (845) all_515_0_300 = all_143_0_80
% 18.90/5.19 |
% 18.90/5.19 | Simplifying 845 yields:
% 18.90/5.19 | (846) all_515_0_300 = all_143_0_80
% 18.90/5.19 |
% 18.90/5.19 | Combining equations (840,792) yields a new equation:
% 18.90/5.19 | (847) all_515_0_300 = all_387_1_212
% 18.90/5.19 |
% 18.90/5.19 | Simplifying 847 yields:
% 18.90/5.19 | (848) all_515_0_300 = all_387_1_212
% 18.90/5.19 |
% 18.90/5.19 | Combining equations (848,844) yields a new equation:
% 18.90/5.19 | (849) all_413_0_229 = all_387_1_212
% 18.90/5.19 |
% 18.90/5.19 | Combining equations (841,844) yields a new equation:
% 18.90/5.19 | (850) all_413_0_229 = all_389_1_214
% 18.90/5.19 |
% 18.90/5.19 | Combining equations (846,844) yields a new equation:
% 18.90/5.19 | (851) all_413_0_229 = all_143_0_80
% 18.90/5.19 |
% 18.90/5.19 | Combining equations (796,823) yields a new equation:
% 18.90/5.19 | (852) all_493_0_289 = all_337_0_186
% 18.90/5.19 |
% 18.90/5.19 | Simplifying 852 yields:
% 18.90/5.19 | (853) all_493_0_289 = all_337_0_186
% 18.90/5.19 |
% 18.90/5.19 | Combining equations (798,853) yields a new equation:
% 18.90/5.19 | (854) all_347_0_191 = all_337_0_186
% 18.90/5.19 |
% 18.90/5.19 | Simplifying 854 yields:
% 18.90/5.19 | (855) all_347_0_191 = all_337_0_186
% 18.90/5.19 |
% 18.90/5.19 | Combining equations (851,850) yields a new equation:
% 18.90/5.19 | (856) all_389_1_214 = all_143_0_80
% 18.90/5.19 |
% 18.90/5.19 | Combining equations (849,850) yields a new equation:
% 18.90/5.19 | (857) all_389_1_214 = all_387_1_212
% 18.90/5.19 |
% 18.90/5.19 | Combining equations (856,857) yields a new equation:
% 18.90/5.19 | (858) all_387_1_212 = all_143_0_80
% 18.90/5.19 |
% 18.90/5.19 | Combining equations (804,829) yields a new equation:
% 18.90/5.19 | (859) all_339_0_187 = one
% 18.90/5.19 |
% 18.90/5.19 | Combining equations (814,812) yields a new equation:
% 18.90/5.19 | (860) all_319_0_177 = all_271_0_150
% 18.90/5.19 |
% 18.90/5.19 | Combining equations (813,812) yields a new equation:
% 18.90/5.19 | (861) all_319_0_177 = all_285_0_158
% 18.90/5.19 |
% 18.90/5.19 | Combining equations (831,812) yields a new equation:
% 18.90/5.19 | (862) all_319_0_177 = all_0_1_1
% 18.90/5.19 |
% 18.90/5.19 | Combining equations (833,812) yields a new equation:
% 18.90/5.19 | (863) all_319_0_177 = all_107_0_56
% 18.90/5.19 |
% 18.90/5.19 | Combining equations (797,855) yields a new equation:
% 18.90/5.19 | (864) all_337_0_186 = all_0_1_1
% 18.90/5.19 |
% 18.90/5.19 | Combining equations (860,861) yields a new equation:
% 18.90/5.19 | (865) all_285_0_158 = all_271_0_150
% 18.90/5.19 |
% 18.90/5.19 | Combining equations (863,861) yields a new equation:
% 18.90/5.19 | (866) all_285_0_158 = all_107_0_56
% 18.90/5.19 |
% 18.90/5.19 | Combining equations (862,861) yields a new equation:
% 18.90/5.19 | (867) all_285_0_158 = all_0_1_1
% 18.90/5.19 |
% 18.90/5.19 | Combining equations (867,865) yields a new equation:
% 18.90/5.19 | (868) all_271_0_150 = all_0_1_1
% 18.90/5.19 |
% 18.90/5.19 | Combining equations (866,865) yields a new equation:
% 18.90/5.19 | (869) all_271_0_150 = all_107_0_56
% 18.90/5.19 |
% 18.90/5.19 | Combining equations (868,869) yields a new equation:
% 18.90/5.19 | (870) all_107_0_56 = all_0_1_1
% 18.90/5.19 |
% 18.90/5.19 | From (870) and (774) follows:
% 18.90/5.19 | (871) multiplication(all_0_1_1, all_0_1_1) = all_687_0_400
% 18.90/5.19 |
% 18.90/5.19 | From (838) and (716) follows:
% 18.90/5.19 | (872) multiplication(all_0_1_1, all_0_1_1) = all_0_1_1
% 18.90/5.19 |
% 18.90/5.19 | From (870) and (770) follows:
% 18.90/5.19 | (873) multiplication(all_0_1_1, all_0_1_1) = all_679_0_393
% 18.90/5.19 |
% 18.90/5.19 | From (858) and (698) follows:
% 18.90/5.19 | (585) multiplication(all_0_1_1, all_0_1_1) = all_143_0_80
% 18.90/5.19 |
% 18.90/5.19 | From (793) and (711) follows:
% 18.90/5.19 | (684) addition(all_143_0_80, all_0_1_1) = all_359_0_197
% 18.90/5.19 |
% 18.90/5.19 | From (794) and (696) follows:
% 18.90/5.19 | (687) addition(all_0_1_1, all_143_0_80) = all_371_0_203
% 18.90/5.19 |
% 18.90/5.19 | From (859) and (677) follows:
% 18.90/5.19 | (877) addition(all_0_2_2, one) = all_129_0_72
% 18.90/5.19 |
% 18.90/5.19 | From (864) and (675) follows:
% 18.90/5.19 | (105) addition(all_0_2_2, one) = all_0_1_1
% 18.90/5.19 |
% 18.90/5.19 | Instantiating formula (31) with all_0_1_1, all_0_1_1, all_687_0_400, all_143_0_80 and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_687_0_400, multiplication(all_0_1_1, all_0_1_1) = all_143_0_80, yields:
% 18.90/5.19 | (879) all_687_0_400 = all_143_0_80
% 18.90/5.19 |
% 18.90/5.19 | Instantiating formula (31) with all_0_1_1, all_0_1_1, all_679_0_393, all_687_0_400 and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_687_0_400, multiplication(all_0_1_1, all_0_1_1) = all_679_0_393, yields:
% 18.90/5.19 | (880) all_687_0_400 = all_679_0_393
% 18.90/5.19 |
% 18.90/5.19 | Instantiating formula (31) with all_0_1_1, all_0_1_1, all_0_1_1, all_687_0_400 and discharging atoms multiplication(all_0_1_1, all_0_1_1) = all_687_0_400, multiplication(all_0_1_1, all_0_1_1) = all_0_1_1, yields:
% 18.90/5.19 | (881) all_687_0_400 = all_0_1_1
% 18.90/5.19 |
% 18.90/5.19 | Instantiating formula (7) with all_0_2_2, one, all_129_0_72, all_0_1_1 and discharging atoms addition(all_0_2_2, one) = all_129_0_72, addition(all_0_2_2, one) = all_0_1_1, yields:
% 18.90/5.19 | (882) all_129_0_72 = all_0_1_1
% 18.90/5.19 |
% 18.90/5.19 | Combining equations (879,880) yields a new equation:
% 18.90/5.19 | (883) all_679_0_393 = all_143_0_80
% 18.90/5.19 |
% 18.90/5.19 | Combining equations (881,880) yields a new equation:
% 18.90/5.19 | (884) all_679_0_393 = all_0_1_1
% 18.90/5.19 |
% 18.90/5.19 | Combining equations (884,883) yields a new equation:
% 18.90/5.19 | (885) all_143_0_80 = all_0_1_1
% 18.90/5.19 |
% 18.90/5.19 | From (885) and (684) follows:
% 18.90/5.19 | (886) addition(all_0_1_1, all_0_1_1) = all_359_0_197
% 18.90/5.19 |
% 18.90/5.19 | From (882) and (672) follows:
% 18.90/5.19 | (887) addition(all_0_1_1, all_0_1_1) = all_327_0_181
% 18.90/5.19 |
% 18.90/5.19 | From (885) and (687) follows:
% 18.90/5.19 | (888) addition(all_0_1_1, all_0_1_1) = all_371_0_203
% 18.90/5.19 |
% 18.90/5.19 | From (882) and (714) follows:
% 18.90/5.19 | (889) addition(all_0_1_1, all_0_1_1) = all_453_0_262
% 18.90/5.19 |
% 18.90/5.19 | Instantiating formula (28) with all_371_0_203, all_0_1_1 and discharging atoms addition(all_0_1_1, all_0_1_1) = all_371_0_203, yields:
% 18.90/5.19 | (890) all_371_0_203 = all_0_1_1
% 18.90/5.19 |
% 18.90/5.19 | Instantiating formula (7) with all_0_1_1, all_0_1_1, all_359_0_197, all_453_0_262 and discharging atoms addition(all_0_1_1, all_0_1_1) = all_453_0_262, addition(all_0_1_1, all_0_1_1) = all_359_0_197, yields:
% 18.90/5.19 | (891) all_453_0_262 = all_359_0_197
% 18.90/5.19 |
% 18.90/5.19 | Instantiating formula (7) with all_0_1_1, all_0_1_1, all_359_0_197, all_371_0_203 and discharging atoms addition(all_0_1_1, all_0_1_1) = all_371_0_203, addition(all_0_1_1, all_0_1_1) = all_359_0_197, yields:
% 18.90/5.19 | (892) all_371_0_203 = all_359_0_197
% 18.90/5.19 |
% 18.90/5.19 | Instantiating formula (7) with all_0_1_1, all_0_1_1, all_327_0_181, all_453_0_262 and discharging atoms addition(all_0_1_1, all_0_1_1) = all_453_0_262, addition(all_0_1_1, all_0_1_1) = all_327_0_181, yields:
% 18.90/5.19 | (893) all_453_0_262 = all_327_0_181
% 18.90/5.19 |
% 18.90/5.19 | Combining equations (891,893) yields a new equation:
% 18.90/5.19 | (894) all_359_0_197 = all_327_0_181
% 18.90/5.19 |
% 18.90/5.19 | Simplifying 894 yields:
% 18.90/5.19 | (895) all_359_0_197 = all_327_0_181
% 18.90/5.20 |
% 18.90/5.20 | Combining equations (892,890) yields a new equation:
% 18.90/5.20 | (896) all_359_0_197 = all_0_1_1
% 18.90/5.20 |
% 18.90/5.20 | Simplifying 896 yields:
% 18.90/5.20 | (897) all_359_0_197 = all_0_1_1
% 18.90/5.20 |
% 18.90/5.20 | Combining equations (895,897) yields a new equation:
% 18.90/5.20 | (898) all_327_0_181 = all_0_1_1
% 18.90/5.20 |
% 18.90/5.20 | Simplifying 898 yields:
% 18.90/5.20 | (899) all_327_0_181 = all_0_1_1
% 18.90/5.20 |
% 18.90/5.20 | From (899) and (887) follows:
% 18.90/5.20 | (900) addition(all_0_1_1, all_0_1_1) = all_0_1_1
% 18.90/5.20 |
% 18.90/5.20 | Instantiating formula (23) with all_0_1_1, all_0_1_1 and discharging atoms addition(all_0_1_1, all_0_1_1) = all_0_1_1, ~ leq(all_0_1_1, all_0_1_1), yields:
% 18.90/5.20 | (901) $false
% 18.90/5.20 |
% 18.90/5.20 |-The branch is then unsatisfiable
% 18.90/5.20 |-Branch two:
% 18.90/5.20 | (902) leq(all_0_0_0, all_0_1_1)
% 18.90/5.20 | (903) ~ leq(all_0_1_1, all_0_0_0)
% 18.90/5.20 |
% 18.90/5.20 | From (104) and (902) follows:
% 18.90/5.20 | (904) leq(all_0_1_1, all_0_1_1)
% 18.90/5.20 |
% 18.90/5.20 | From (104) and (903) follows:
% 18.90/5.20 | (108) ~ leq(all_0_1_1, all_0_1_1)
% 18.90/5.20 |
% 18.90/5.20 | Using (904) and (108) yields:
% 18.90/5.20 | (901) $false
% 18.90/5.20 |
% 18.90/5.20 |-The branch is then unsatisfiable
% 18.90/5.20 % SZS output end Proof for theBenchmark
% 18.90/5.20
% 18.90/5.20 4587ms
%------------------------------------------------------------------------------